question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
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b'Find the third derivative of 757*p**6 + 5*p**6 - 1875*p**6 - 185*p**2 wrt p.\n' | b'-133560*p**3\n' | b'Find the third derivative of 757*p**6 + 5*p**6 - 1875*p**6 - 185*p**2 wrt p.\n' | b'-133560*p**3\n' | deepmind/math_dataset |
b'Simplify ((s**(-5)/((s*s/s**(-3/7))/s*s))/((s/s**(-2/3))/s**(1/6)))**(-30) assuming s is positive.\n' | b's**(1875/7)\n' | b'Simplify ((s**(-5)/((s*s/s**(-3/7))/s*s))/((s/s**(-2/3))/s**(1/6)))**(-30) assuming s is positive.\n' | b's**(1875/7)\n' | deepmind/math_dataset |
b'Simplify (t**(2/5))**46 assuming t is positive.\n' | b't**(92/5)\n' | b'Simplify (t**(2/5))**46 assuming t is positive.\n' | b't**(92/5)\n' | deepmind/math_dataset |
b'Let u(k) be the first derivative of -7*k**2/2 + 21*k + 1. Let r(x) = 5*x - 14. Let w(v) = 8*r(v) + 5*u(v). Differentiate w(y) with respect to y.\n' | b'5\n' | b'Let u(k) be the first derivative of -7*k**2/2 + 21*k + 1. Let r(x) = 5*x - 14. Let w(v) = 8*r(v) + 5*u(v). Differentiate w(y) with respect to y.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of picking 2 a and 1 o when three letters picked without replacement from {o: 3, a: 3}?\n' | b'9/20\n' | b'What is prob of picking 2 a and 1 o when three letters picked without replacement from {o: 3, a: 3}?\n' | b'9/20\n' | deepmind/math_dataset |
b'Simplify ((t**14*t)/t*t)/t**(-5/4) assuming t is positive.\n' | b't**(65/4)\n' | b'Simplify ((t**14*t)/t*t)/t**(-5/4) assuming t is positive.\n' | b't**(65/4)\n' | deepmind/math_dataset |
b'Let r(v) = -v + 9. Let d be 2/(-8) + (-18)/(-8). Let o(t) = -4*t + 46. Let k(q) = d*o(q) - 11*r(q). What is k(5)?\n' | b'8\n' | b'Let r(v) = -v + 9. Let d be 2/(-8) + (-18)/(-8). Let o(t) = -4*t + 46. Let k(q) = d*o(q) - 11*r(q). What is k(5)?\n' | b'8\n' | deepmind/math_dataset |
b'Let o be (-3)/(-2 - -5) + 6. What is the second derivative of -k**4 - 3*k + k**4 - 2*k**o + 0*k**5 wrt k?\n' | b'-40*k**3\n' | b'Let o be (-3)/(-2 - -5) + 6. What is the second derivative of -k**4 - 3*k + k**4 - 2*k**o + 0*k**5 wrt k?\n' | b'-40*k**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jtgeetjjvt. What is prob of sequence ev?\n' | b'1/45\n' | b'Two letters picked without replacement from jtgeetjjvt. What is prob of sequence ev?\n' | b'1/45\n' | deepmind/math_dataset |
b'What is prob of picking 1 t, 1 h, and 2 i when four letters picked without replacement from itktattahttatttttk?\n' | b'0\n' | b'What is prob of picking 1 t, 1 h, and 2 i when four letters picked without replacement from itktattahttatttttk?\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence waa when three letters picked without replacement from {w: 9, a: 3}.\n' | b'9/220\n' | b'Calculate prob of sequence waa when three letters picked without replacement from {w: 9, a: 3}.\n' | b'9/220\n' | deepmind/math_dataset |
b'Let k(t) = -t**2 - 4*t - 1. Let p = -1251 + 1245. Calculate k(p).\n' | b'-13\n' | b'Let k(t) = -t**2 - 4*t - 1. Let p = -1251 + 1245. Calculate k(p).\n' | b'-13\n' | deepmind/math_dataset |
b'Let p(i) be the second derivative of i**5/20 + 5*i**4/6 + 2*i**2 + 7*i. Determine p(-10).\n' | b'4\n' | b'Let p(i) be the second derivative of i**5/20 + 5*i**4/6 + 2*i**2 + 7*i. Determine p(-10).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((o**(-2/21))**(-5))**(-26/7) assuming o is positive.\n' | b'o**(-260/147)\n' | b'Simplify ((o**(-2/21))**(-5))**(-26/7) assuming o is positive.\n' | b'o**(-260/147)\n' | deepmind/math_dataset |
b'Let h(m) = 4*m**2 + 2. Suppose -4*i = 127 - 203. Suppose i*j + 9*j = 56. What is h(j)?\n' | b'18\n' | b'Let h(m) = 4*m**2 + 2. Suppose -4*i = 127 - 203. Suppose i*j + 9*j = 56. What is h(j)?\n' | b'18\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 3, f: 2}. Give prob of picking 1 f and 2 u.\n' | b'3/5\n' | b'Three letters picked without replacement from {u: 3, f: 2}. Give prob of picking 1 f and 2 u.\n' | b'3/5\n' | deepmind/math_dataset |
b'Suppose 5*n = 2*u - u + 28, 22 = 2*n + 5*u. Solve 5 = 5*k + 4*b, -3*b = -3*k - 30 + n for k.\n' | b'-3\n' | b'Suppose 5*n = 2*u - u + 28, 22 = 2*n + 5*u. Solve 5 = 5*k + 4*b, -3*b = -3*k - 30 + n for k.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((l**0)**(-1/9))**22/((l/(l**(1/4)*l)*l)**(15/4)/((l/l**(1/3)*l)/l**1)) assuming l is positive.\n' | b'l**(-103/48)\n' | b'Simplify ((l**0)**(-1/9))**22/((l/(l**(1/4)*l)*l)**(15/4)/((l/l**(1/3)*l)/l**1)) assuming l is positive.\n' | b'l**(-103/48)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {t: 2, j: 1, b: 1, m: 4}.\n' | b'1/7\n' | b'Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {t: 2, j: 1, b: 1, m: 4}.\n' | b'1/7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 2, r: 2, e: 5, a: 8}. Give prob of picking 2 x.\n' | b'1/136\n' | b'Two letters picked without replacement from {x: 2, r: 2, e: 5, a: 8}. Give prob of picking 2 x.\n' | b'1/136\n' | deepmind/math_dataset |
b'Let s(z) = 6*z + 11. Let l(t) be the second derivative of -2*t**3/3 - 7*t**2/2 + 3*t. Let y(d) = -8*l(d) - 5*s(d). What is the first derivative of y(p) wrt p?\n' | b'2\n' | b'Let s(z) = 6*z + 11. Let l(t) be the second derivative of -2*t**3/3 - 7*t**2/2 + 3*t. Let y(d) = -8*l(d) - 5*s(d). What is the first derivative of y(p) wrt p?\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (((a**2/a)/a)**0)**(-2/5)/((a/(a*a**5*a))/a**(-2/3)*a**(-2/3)*a**(-4)) assuming a is positive.\n' | b'a**10\n' | b'Simplify (((a**2/a)/a)**0)**(-2/5)/((a/(a*a**5*a))/a**(-2/3)*a**(-2/3)*a**(-4)) assuming a is positive.\n' | b'a**10\n' | deepmind/math_dataset |
b'Suppose 6*h - 125 = 11*h. Let x(k) = -k**3 - 8*k**2 - 9*k - 4. Let j be x(-7). Let d be 44/j - (-10)/h. Solve 0 = -2*l + 5*t + 15 + 11, -d*t = 16 for l.\n' | b'3\n' | b'Suppose 6*h - 125 = 11*h. Let x(k) = -k**3 - 8*k**2 - 9*k - 4. Let j be x(-7). Let d be 44/j - (-10)/h. Solve 0 = -2*l + 5*t + 15 + 11, -d*t = 16 for l.\n' | b'3\n' | deepmind/math_dataset |
b'Let s = -519 - -543. Suppose 40*x - s = 46*x. Let g(r) = -r + 1. Give g(x).\n' | b'5\n' | b'Let s = -519 - -543. Suppose 40*x - s = 46*x. Let g(r) = -r + 1. Give g(x).\n' | b'5\n' | deepmind/math_dataset |
b'Let v(n) be the second derivative of -134*n**6/15 + 3*n**5/20 - 886*n**3/3 - 3469*n. Find the second derivative of v(t) wrt t.\n' | b'-3216*t**2 + 18*t\n' | b'Let v(n) be the second derivative of -134*n**6/15 + 3*n**5/20 - 886*n**3/3 - 3469*n. Find the second derivative of v(t) wrt t.\n' | b'-3216*t**2 + 18*t\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xxxxxwwxxkxxwwxwx. What is prob of picking 3 k and 1 x?\n' | b'0\n' | b'Four letters picked without replacement from xxxxxwwxxkxxwwxwx. What is prob of picking 3 k and 1 x?\n' | b'0\n' | deepmind/math_dataset |
b'Let m(t) = -6 - t + 5*t - 2*t. Let z(n) = 43*n + 350. Let l be z(-8). What is m(l)?\n' | b'6\n' | b'Let m(t) = -6 - t + 5*t - 2*t. Let z(n) = 43*n + 350. Let l be z(-8). What is m(l)?\n' | b'6\n' | deepmind/math_dataset |
b'Let s(j) be the first derivative of -j**4/2 + 211*j**3 + 1831*j - 31. Differentiate s(l) wrt l.\n' | b'-6*l**2 + 1266*l\n' | b'Let s(j) be the first derivative of -j**4/2 + 211*j**3 + 1831*j - 31. Differentiate s(l) wrt l.\n' | b'-6*l**2 + 1266*l\n' | deepmind/math_dataset |
b'Simplify z*((z/z**(-4/9))/z)/z*z*z*z**2*z*(z*(z**(-9)/z)/z*z*z)**(2/11) assuming z is positive.\n' | b'z**(395/99)\n' | b'Simplify z*((z/z**(-4/9))/z)/z*z*z*z**2*z*(z*(z**(-9)/z)/z*z*z)**(2/11) assuming z is positive.\n' | b'z**(395/99)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from rrroooooor. Give prob of sequence ooor.\n' | b'2/21\n' | b'Four letters picked without replacement from rrroooooor. Give prob of sequence ooor.\n' | b'2/21\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 2 v when three letters picked without replacement from vuvvuuvv?\n' | b'15/28\n' | b'What is prob of picking 1 u and 2 v when three letters picked without replacement from vuvvuuvv?\n' | b'15/28\n' | deepmind/math_dataset |
b'Find the second derivative of -2156*i - 10745*i**2 - 3348*i + 2847*i**2 - 4544*i**2 wrt i.\n' | b'-24884\n' | b'Find the second derivative of -2156*i - 10745*i**2 - 3348*i + 2847*i**2 - 4544*i**2 wrt i.\n' | b'-24884\n' | deepmind/math_dataset |
b'Let y(w) = -7*w - 2. Let n(q) = 15*q + 4. Let g(t) = 6*n(t) + 13*y(t). Let p be g(-5). What is the second derivative of 60*f - p*f**5 + 4*f**5 - 64*f wrt f?\n' | b'20*f**3\n' | b'Let y(w) = -7*w - 2. Let n(q) = 15*q + 4. Let g(t) = 6*n(t) + 13*y(t). Let p be g(-5). What is the second derivative of 60*f - p*f**5 + 4*f**5 - 64*f wrt f?\n' | b'20*f**3\n' | deepmind/math_dataset |
b'Let p(g) = 44*g**2 - 7*g - 43. Let w(t) = t**2 + t. Suppose 0 = 22*h + 33 - 143. Let a(q) = h*w(q) + p(q). Find the second derivative of a(o) wrt o.\n' | b'98\n' | b'Let p(g) = 44*g**2 - 7*g - 43. Let w(t) = t**2 + t. Suppose 0 = 22*h + 33 - 143. Let a(q) = h*w(q) + p(q). Find the second derivative of a(o) wrt o.\n' | b'98\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 1, z: 1, g: 1, s: 2, i: 1, w: 1}. Give prob of picking 2 s and 1 i.\n' | b'1/35\n' | b'Three letters picked without replacement from {q: 1, z: 1, g: 1, s: 2, i: 1, w: 1}. Give prob of picking 2 s and 1 i.\n' | b'1/35\n' | deepmind/math_dataset |
b'Simplify (s**(1/7)*s)**(-6/7)/(s**7/(s**(-3/8)*s)) assuming s is positive.\n' | b's**(-2883/392)\n' | b'Simplify (s**(1/7)*s)**(-6/7)/(s**7/(s**(-3/8)*s)) assuming s is positive.\n' | b's**(-2883/392)\n' | deepmind/math_dataset |
b'Let s be (1 + -3)*1 + 7. Let r(t) be the first derivative of -t + 0*t**2 + 0*t**4 - 2/5*t**s - 2 + 0*t**3. Find the first derivative of r(c) wrt c.\n' | b'-8*c**3\n' | b'Let s be (1 + -3)*1 + 7. Let r(t) be the first derivative of -t + 0*t**2 + 0*t**4 - 2/5*t**s - 2 + 0*t**3. Find the first derivative of r(c) wrt c.\n' | b'-8*c**3\n' | deepmind/math_dataset |
b'Simplify (c**(-5/4)/c**(-4/7))**(16/3)/(((c/c**(-2/11)*c)/c*c**(-2/11)/c*c)/(c/(c/c**0))**(-32/3)) assuming c is positive.\n' | b'c**(-97/21)\n' | b'Simplify (c**(-5/4)/c**(-4/7))**(16/3)/(((c/c**(-2/11)*c)/c*c**(-2/11)/c*c)/(c/(c/c**0))**(-32/3)) assuming c is positive.\n' | b'c**(-97/21)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 1, p: 9, n: 3, o: 3, x: 2}. What is prob of sequence nx?\n' | b'1/51\n' | b'Two letters picked without replacement from {d: 1, p: 9, n: 3, o: 3, x: 2}. What is prob of sequence nx?\n' | b'1/51\n' | deepmind/math_dataset |
b'What is prob of picking 2 k and 1 n when three letters picked without replacement from {k: 5, n: 5, c: 7, d: 1}?\n' | b'25/408\n' | b'What is prob of picking 2 k and 1 n when three letters picked without replacement from {k: 5, n: 5, c: 7, d: 1}?\n' | b'25/408\n' | deepmind/math_dataset |
b'Let s(y) = -y**2 + 6*y + 4. Let i be s(6). Solve g = 4*f - 16, 5*g = f + i - 27 for g.\n' | b'-4\n' | b'Let s(y) = -y**2 + 6*y + 4. Let i be s(6). Solve g = 4*f - 16, 5*g = f + i - 27 for g.\n' | b'-4\n' | deepmind/math_dataset |
b'Let v be 5/(-1) + (-3 - -19) + 10 + -14. Let n(r) = -r**3 + r**2 + r + 1. Let q(j) = 3*j**3 - 8*j**2 - 10*j - 4. Let g(u) = 2*n(u) + q(u). Calculate g(v).\n' | b'-9\n' | b'Let v be 5/(-1) + (-3 - -19) + 10 + -14. Let n(r) = -r**3 + r**2 + r + 1. Let q(j) = 3*j**3 - 8*j**2 - 10*j - 4. Let g(u) = 2*n(u) + q(u). Calculate g(v).\n' | b'-9\n' | deepmind/math_dataset |
b'Let q(f) = -24*f**2 + 4*f**3 - 22 - 5*f**3 + 69 - 42*f. Let a be q(-22). Solve 0 = 5*d + 4*p + 15, -3*d - 3 = -2*d + a*p for d.\n' | b'-3\n' | b'Let q(f) = -24*f**2 + 4*f**3 - 22 - 5*f**3 + 69 - 42*f. Let a be q(-22). Solve 0 = 5*d + 4*p + 15, -3*d - 3 = -2*d + a*p for d.\n' | b'-3\n' | deepmind/math_dataset |
b'Let a(m) = 3*m - 10. Let z be a(4). Suppose -g + z*y = -2*g + 11, -16 = -4*y. Solve -4*j = 3*s + 32, -11 = g*s + j + 6 for s.\n' | b'-4\n' | b'Let a(m) = 3*m - 10. Let z be a(4). Suppose -g + z*y = -2*g + 11, -16 = -4*y. Solve -4*j = 3*s + 32, -11 = g*s + j + 6 for s.\n' | b'-4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 1, r: 1, e: 1, i: 2}. Give prob of picking 1 i, 1 p, and 1 r.\n' | b'1/5\n' | b'Three letters picked without replacement from {p: 1, r: 1, e: 1, i: 2}. Give prob of picking 1 i, 1 p, and 1 r.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let c(l) be the third derivative of 13*l**7/42 + l**4/24 + 2*l**3/3 - 63*l**2. What is the second derivative of c(w) wrt w?\n' | b'780*w**2\n' | b'Let c(l) be the third derivative of 13*l**7/42 + l**4/24 + 2*l**3/3 - 63*l**2. What is the second derivative of c(w) wrt w?\n' | b'780*w**2\n' | deepmind/math_dataset |
b'Suppose -33 = 3*z - 87. Suppose -z = -3*m + 3*q, -4*m - m - 5*q = 10. Let s(d) = 5*d - 1. Give s(m).\n' | b'9\n' | b'Suppose -33 = 3*z - 87. Suppose -z = -3*m + 3*q, -4*m - m - 5*q = 10. Let s(d) = 5*d - 1. Give s(m).\n' | b'9\n' | deepmind/math_dataset |
b'Simplify (a**(-5)*a*(a/a**(-2))/a)/(a**(-1))**(-23)*(((a/(a*a/a**(2/5)))/a)/(a**(-5)/a))/(a*a*a*a*a**(-7)*a*a*a**(-1/3)*a*a) assuming a is positive.\n' | b'a**(-319/15)\n' | b'Simplify (a**(-5)*a*(a/a**(-2))/a)/(a**(-1))**(-23)*(((a/(a*a/a**(2/5)))/a)/(a**(-5)/a))/(a*a*a*a*a**(-7)*a*a*a**(-1/3)*a*a) assuming a is positive.\n' | b'a**(-319/15)\n' | deepmind/math_dataset |
b'Let d(q) = -q**2 + 14*q - 30. Let x be d(20). Let n = -148 - x. Solve 0 = 5*s + 2*u + 11, u + 1 + n = 0 for s.\n' | b'-1\n' | b'Let d(q) = -q**2 + 14*q - 30. Let x be d(20). Let n = -148 - x. Solve 0 = 5*s + 2*u + 11, u + 1 + n = 0 for s.\n' | b'-1\n' | deepmind/math_dataset |
b'Let s(f) = 2*f - f**2 - 2*f**2 + 2*f**2 - 1 - f. What is s(0)?\n' | b'-1\n' | b'Let s(f) = 2*f - f**2 - 2*f**2 + 2*f**2 - 1 - f. What is s(0)?\n' | b'-1\n' | deepmind/math_dataset |
b'Let r(c) be the second derivative of -c**3/3 + 640*c. Let h = 3 + -4. Calculate r(h).\n' | b'2\n' | b'Let r(c) be the second derivative of -c**3/3 + 640*c. Let h = 3 + -4. Calculate r(h).\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 3, k: 7, f: 1, b: 3}. What is prob of sequence kbk?\n' | b'3/52\n' | b'Three letters picked without replacement from {n: 3, k: 7, f: 1, b: 3}. What is prob of sequence kbk?\n' | b'3/52\n' | deepmind/math_dataset |
b'Simplify ((d**1)**(-3/2))**48 assuming d is positive.\n' | b'd**(-72)\n' | b'Simplify ((d**1)**(-3/2))**48 assuming d is positive.\n' | b'd**(-72)\n' | deepmind/math_dataset |
b'Simplify d**(-8)/((d*(d/d**(-12))/d*d*d*d)/d) assuming d is positive.\n' | b'd**(-23)\n' | b'Simplify d**(-8)/((d*(d/d**(-12))/d*d*d*d)/d) assuming d is positive.\n' | b'd**(-23)\n' | deepmind/math_dataset |
b'Let p(h) = h**2 + 4*h. Let n be 2/(-1) - (3 + -1). Let c be p(n). Let s(i) = 183 + i**2 + 94 - 289 + i**3 + 0*i**3. What is s(c)?\n' | b'-12\n' | b'Let p(h) = h**2 + 4*h. Let n be 2/(-1) - (3 + -1). Let c be p(n). Let s(i) = 183 + i**2 + 94 - 289 + i**3 + 0*i**3. What is s(c)?\n' | b'-12\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 3, u: 9}. Give prob of sequence uus.\n' | b'9/55\n' | b'Three letters picked without replacement from {s: 3, u: 9}. Give prob of sequence uus.\n' | b'9/55\n' | deepmind/math_dataset |
b'Simplify g**15*g*g*g*g/g**19 assuming g is positive.\n' | b'1\n' | b'Simplify g**15*g*g*g*g/g**19 assuming g is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {l: 7, z: 2, w: 3, q: 4, y: 3}. Give prob of picking 1 w and 2 y.\n' | b'3/323\n' | b'Three letters picked without replacement from {l: 7, z: 2, w: 3, q: 4, y: 3}. Give prob of picking 1 w and 2 y.\n' | b'3/323\n' | deepmind/math_dataset |
b'Simplify (t/t**(-22))/(t/t**5) assuming t is positive.\n' | b't**27\n' | b'Simplify (t/t**(-22))/(t/t**5) assuming t is positive.\n' | b't**27\n' | deepmind/math_dataset |
b'Suppose -26*a = -37*a + 22. What is the third derivative of 3*i - 6288*i**a + 42*i**5 + 6286*i**2 - i wrt i?\n' | b'2520*i**2\n' | b'Suppose -26*a = -37*a + 22. What is the third derivative of 3*i - 6288*i**a + 42*i**5 + 6286*i**2 - i wrt i?\n' | b'2520*i**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 5, h: 5}. Give prob of sequence hmh.\n' | b'5/36\n' | b'Three letters picked without replacement from {m: 5, h: 5}. Give prob of sequence hmh.\n' | b'5/36\n' | deepmind/math_dataset |
b'Let z = 2896 + -2898. Let h(g) be the third derivative of -7*g**5/60 - g**4/24 - 2*g**2 - 19*g. Determine h(z).\n' | b'-26\n' | b'Let z = 2896 + -2898. Let h(g) be the third derivative of -7*g**5/60 - g**4/24 - 2*g**2 - 19*g. Determine h(z).\n' | b'-26\n' | deepmind/math_dataset |
b'What is prob of picking 1 p and 1 o when two letters picked without replacement from {p: 1, o: 1, a: 1, i: 1, x: 1}?\n' | b'1/10\n' | b'What is prob of picking 1 p and 1 o when two letters picked without replacement from {p: 1, o: 1, a: 1, i: 1, x: 1}?\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify (i**(1/2)/i**(-8))/((i/(i/(i**(-4/7)/i)))/i**2) assuming i is positive.\n' | b'i**(169/14)\n' | b'Simplify (i**(1/2)/i**(-8))/((i/(i/(i**(-4/7)/i)))/i**2) assuming i is positive.\n' | b'i**(169/14)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {e: 2, r: 2, b: 4, g: 8}.\n' | b'1/30\n' | b'Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {e: 2, r: 2, b: 4, g: 8}.\n' | b'1/30\n' | deepmind/math_dataset |
b'What is prob of sequence ls when two letters picked without replacement from alaclucsssclv?\n' | b'3/52\n' | b'What is prob of sequence ls when two letters picked without replacement from alaclucsssclv?\n' | b'3/52\n' | deepmind/math_dataset |
b'Calculate prob of sequence shis when four letters picked without replacement from {o: 1, s: 2, h: 1, i: 2}.\n' | b'1/90\n' | b'Calculate prob of sequence shis when four letters picked without replacement from {o: 1, s: 2, h: 1, i: 2}.\n' | b'1/90\n' | deepmind/math_dataset |
b'Let c(m) = -7*m + 6. Let f(o) = o - 1. Let i(h) = c(h) + 6*f(h). Let k be i(-6). Find the third derivative of 2*w**6 - 5*w**k + 0*w**2 + w**2 + 2*w**2 wrt w.\n' | b'-360*w**3\n' | b'Let c(m) = -7*m + 6. Let f(o) = o - 1. Let i(h) = c(h) + 6*f(h). Let k be i(-6). Find the third derivative of 2*w**6 - 5*w**k + 0*w**2 + w**2 + 2*w**2 wrt w.\n' | b'-360*w**3\n' | deepmind/math_dataset |
b'Let m(w) be the first derivative of -1/2*w**4 + 0*w**3 + w**2 + 39*w - 11*w**5 + 78. Find the second derivative of m(c) wrt c.\n' | b'-660*c**2 - 12*c\n' | b'Let m(w) be the first derivative of -1/2*w**4 + 0*w**3 + w**2 + 39*w - 11*w**5 + 78. Find the second derivative of m(c) wrt c.\n' | b'-660*c**2 - 12*c\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 7, i: 1, p: 2}. What is prob of sequence pm?\n' | b'7/45\n' | b'Two letters picked without replacement from {m: 7, i: 1, p: 2}. What is prob of sequence pm?\n' | b'7/45\n' | deepmind/math_dataset |
b'What is prob of picking 1 t and 1 a when two letters picked without replacement from attattaattta?\n' | b'35/66\n' | b'What is prob of picking 1 t and 1 a when two letters picked without replacement from attattaattta?\n' | b'35/66\n' | deepmind/math_dataset |
b'Let q(d) be the second derivative of 31*d**8/7 + 17*d**4/4 + d**2/2 - 233*d. What is the third derivative of q(l) wrt l?\n' | b'29760*l**3\n' | b'Let q(d) be the second derivative of 31*d**8/7 + 17*d**4/4 + d**2/2 - 233*d. What is the third derivative of q(l) wrt l?\n' | b'29760*l**3\n' | deepmind/math_dataset |
b'Let p(c) be the second derivative of 0*c**2 + 269/20*c**5 + 0*c**3 + 0 - 194*c + 21/4*c**4. Find the third derivative of p(t) wrt t.\n' | b'1614\n' | b'Let p(c) be the second derivative of 0*c**2 + 269/20*c**5 + 0*c**3 + 0 - 194*c + 21/4*c**4. Find the third derivative of p(t) wrt t.\n' | b'1614\n' | deepmind/math_dataset |
b'Let p(k) = -2*k - k**2 - 2 - 1 + 4. Let g = 43621 - 43628. Determine p(g).\n' | b'-34\n' | b'Let p(k) = -2*k - k**2 - 2 - 1 + 4. Let g = 43621 - 43628. Determine p(g).\n' | b'-34\n' | deepmind/math_dataset |
b'Let b(q) be the third derivative of q**4/24 + 2*q**3/3 - 5*q**2. Let j be b(0). Solve -3*t - 6 = j*y, -3*t - 4*y = 2*t + 2 for t.\n' | b'2\n' | b'Let b(q) be the third derivative of q**4/24 + 2*q**3/3 - 5*q**2. Let j be b(0). Solve -3*t - 6 = j*y, -3*t - 4*y = 2*t + 2 for t.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 1, g: 2, b: 4, r: 7}. What is prob of sequence ru?\n' | b'1/26\n' | b'Two letters picked without replacement from {u: 1, g: 2, b: 4, r: 7}. What is prob of sequence ru?\n' | b'1/26\n' | deepmind/math_dataset |
b'Let a(v) be the third derivative of -v**4/2 + v**3/6 + 413*v**2. Give a(2).\n' | b'-23\n' | b'Let a(v) be the third derivative of -v**4/2 + v**3/6 + 413*v**2. Give a(2).\n' | b'-23\n' | deepmind/math_dataset |
b'Calculate prob of sequence qanq when four letters picked without replacement from {f: 5, n: 1, a: 4, q: 2, u: 2}.\n' | b'1/3003\n' | b'Calculate prob of sequence qanq when four letters picked without replacement from {f: 5, n: 1, a: 4, q: 2, u: 2}.\n' | b'1/3003\n' | deepmind/math_dataset |
b'Simplify k**(6/5)/(k*k*k*k**(-2))*(k/(k*k**(-2/31)))/k**(-3/14) assuming k is positive.\n' | b'k**(1039/2170)\n' | b'Simplify k**(6/5)/(k*k*k*k**(-2))*(k/(k*k**(-2/31)))/k**(-3/14) assuming k is positive.\n' | b'k**(1039/2170)\n' | deepmind/math_dataset |
b'Suppose -4*r = l - 37, -5*l - 5*r = -8*r - 70. Solve -3*m - 5 = j, l*j - 14*j + 15 = -5*m for j.\n' | b'-5\n' | b'Suppose -4*r = l - 37, -5*l - 5*r = -8*r - 70. Solve -3*m - 5 = j, l*j - 14*j + 15 = -5*m for j.\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 1, v: 2, q: 1, c: 2}. Give prob of sequence qcfv.\n' | b'1/90\n' | b'Four letters picked without replacement from {f: 1, v: 2, q: 1, c: 2}. Give prob of sequence qcfv.\n' | b'1/90\n' | deepmind/math_dataset |
b'Simplify ((l**(-13))**(-1/7)*(l*l/((l/(l/l**(12/7)))/l*l))/(l*(l**(-23)/l*l)/l))**50 assuming l is positive.\n' | b'l**(8800/7)\n' | b'Simplify ((l**(-13))**(-1/7)*(l*l/((l/(l/l**(12/7)))/l*l))/(l*(l**(-23)/l*l)/l))**50 assuming l is positive.\n' | b'l**(8800/7)\n' | deepmind/math_dataset |
b'Let y = 13 + 8. Suppose o + 4*q - 22 + 19 = 0, 0 = -4*o + 4*q - 88. Let w = y + o. Solve 6*d + 4*k = 2*d - 16, w*k + 13 = -d for d.\n' | b'-1\n' | b'Let y = 13 + 8. Suppose o + 4*q - 22 + 19 = 0, 0 = -4*o + 4*q - 88. Let w = y + o. Solve 6*d + 4*k = 2*d - 16, w*k + 13 = -d for d.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 1, r: 2, d: 3, z: 3, p: 1}. Give prob of picking 2 r.\n' | b'1/45\n' | b'Two letters picked without replacement from {o: 1, r: 2, d: 3, z: 3, p: 1}. Give prob of picking 2 r.\n' | b'1/45\n' | deepmind/math_dataset |
b'Let d(j) = j - 1. Let g be 2 + 0 + -1 + -1. Let y(r) = 6*r - r**2 - 7 + 0*r + g*r. Let x(k) = -6*d(k) + y(k). Find the first derivative of x(n) wrt n.\n' | b'-2*n\n' | b'Let d(j) = j - 1. Let g be 2 + 0 + -1 + -1. Let y(r) = 6*r - r**2 - 7 + 0*r + g*r. Let x(k) = -6*d(k) + y(k). Find the first derivative of x(n) wrt n.\n' | b'-2*n\n' | deepmind/math_dataset |
b'Let h = 10 + -5. Suppose 5*s - 4*s + 2*k - 15 = 0, -5*s + 45 = -5*k. Suppose 4*a - 9 = s. Solve -5*f + 5 + 20 = h*r, -3*f + a = r for r.\n' | b'5\n' | b'Let h = 10 + -5. Suppose 5*s - 4*s + 2*k - 15 = 0, -5*s + 45 = -5*k. Suppose 4*a - 9 = s. Solve -5*f + 5 + 20 = h*r, -3*f + a = r for r.\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from keikiiiemimiikeki. Give prob of picking 1 m and 2 k.\n' | b'3/170\n' | b'Three letters picked without replacement from keikiiiemimiikeki. Give prob of picking 1 m and 2 k.\n' | b'3/170\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 3, w: 1}. Give prob of picking 3 g.\n' | b'1/4\n' | b'Three letters picked without replacement from {g: 3, w: 1}. Give prob of picking 3 g.\n' | b'1/4\n' | deepmind/math_dataset |
b'Let b(i) = -4*i**2 - 10*i + 495. Let z(p) = -p**2 - 2*p + 122. Let n(f) = -4*b(f) + 17*z(f). Give n(-7).\n' | b'3\n' | b'Let b(i) = -4*i**2 - 10*i + 495. Let z(p) = -p**2 - 2*p + 122. Let n(f) = -4*b(f) + 17*z(f). Give n(-7).\n' | b'3\n' | deepmind/math_dataset |
b'Let f be ((-6)/10)/(2/10). Let k be -2*1*(-6 - f). What is the second derivative of -q**5 + 3*q**5 - k*q**5 + 3*q**5 - 10*q wrt q?\n' | b'-20*q**3\n' | b'Let f be ((-6)/10)/(2/10). Let k be -2*1*(-6 - f). What is the second derivative of -q**5 + 3*q**5 - k*q**5 + 3*q**5 - 10*q wrt q?\n' | b'-20*q**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 v and 1 r when two letters picked without replacement from {r: 1, z: 1, u: 2, v: 3, t: 3}.\n' | b'1/15\n' | b'Calculate prob of picking 1 v and 1 r when two letters picked without replacement from {r: 1, z: 1, u: 2, v: 3, t: 3}.\n' | b'1/15\n' | deepmind/math_dataset |
b'Let q(w) = -w**2 + 20*w - 19. Let a be q(16). Let n be a/6*(-12)/(-30). What is the first derivative of 16*k**4 + 3*k**2 + 0*k**4 - n*k**2 + 12 wrt k?\n' | b'64*k**3\n' | b'Let q(w) = -w**2 + 20*w - 19. Let a be q(16). Let n be a/6*(-12)/(-30). What is the first derivative of 16*k**4 + 3*k**2 + 0*k**4 - n*k**2 + 12 wrt k?\n' | b'64*k**3\n' | deepmind/math_dataset |
b'Suppose 30 - 72 = -7*d. Let l(x) = -x**2 + 15*x - 54. Let o be l(d). Solve o = -3*r + 3*j + 24, -4*r - 3*j + 0 = -11 for r.\n' | b'5\n' | b'Suppose 30 - 72 = -7*d. Let l(x) = -x**2 + 15*x - 54. Let o be l(d). Solve o = -3*r + 3*j + 24, -4*r - 3*j + 0 = -11 for r.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of picking 1 j and 1 u when two letters picked without replacement from yyjjujjyyjyjjyyjjjj?\n' | b'11/171\n' | b'What is prob of picking 1 j and 1 u when two letters picked without replacement from yyjjujjyyjyjjyyjjjj?\n' | b'11/171\n' | deepmind/math_dataset |
b'Let r = -9 - -9. Let z(y) = y**3 - y**2 + 2. Let n be z(r). Solve 0 = 2*b - 5*v - 29, -4*b - n*v + 13 = -3*v for b.\n' | b'2\n' | b'Let r = -9 - -9. Let z(y) = y**3 - y**2 + 2. Let n be z(r). Solve 0 = 2*b - 5*v - 29, -4*b - n*v + 13 = -3*v for b.\n' | b'2\n' | deepmind/math_dataset |
b'Let q be (-4)/(-6)*(-3 - -39). Suppose 2*k = k + 5*u - q, -u = -5. Suppose 3*n + 2 = -k. Let r(v) = 2*v. Give r(n).\n' | b'-2\n' | b'Let q be (-4)/(-6)*(-3 - -39). Suppose 2*k = k + 5*u - q, -u = -5. Suppose 3*n + 2 = -k. Let r(v) = 2*v. Give r(n).\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 20 = -4*o, 3*z + o + 2*o = -51. Let u = z + 12. Let x(h) be the third derivative of h**4/24 + 2*h**3/3 - h**2. Give x(u).\n' | b'4\n' | b'Suppose 20 = -4*o, 3*z + o + 2*o = -51. Let u = z + 12. Let x(h) be the third derivative of h**4/24 + 2*h**3/3 - h**2. Give x(u).\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 7, e: 4, x: 3, w: 1, u: 4}. What is prob of sequence uuwu?\n' | b'1/3876\n' | b'Four letters picked without replacement from {h: 7, e: 4, x: 3, w: 1, u: 4}. What is prob of sequence uuwu?\n' | b'1/3876\n' | deepmind/math_dataset |
b'Suppose 55*g - 54*g = 4. Let w be (-69)/(-15) - 8/(-20). What is the second derivative of 6*r**4 + 4*r**4 + w*r**g - 25*r + 0*r**4 wrt r?\n' | b'180*r**2\n' | b'Suppose 55*g - 54*g = 4. Let w be (-69)/(-15) - 8/(-20). What is the second derivative of 6*r**4 + 4*r**4 + w*r**g - 25*r + 0*r**4 wrt r?\n' | b'180*r**2\n' | deepmind/math_dataset |
b'Simplify (y**(1/4))**25/(y**(1/3)*y**(1/6)) assuming y is positive.\n' | b'y**(23/4)\n' | b'Simplify (y**(1/4))**25/(y**(1/3)*y**(1/6)) assuming y is positive.\n' | b'y**(23/4)\n' | deepmind/math_dataset |
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