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'Let p(x) = -22*x**4 - 3*x**3 - 2*x**2 - 67*x + 1374. Let d(t) = -t**4 - 3*t**3 - 2*t**2 + 1. Let o(a) = d(a) - p(a). Differentiate o(c) with respect to c.\n' | b'84*c**3 + 67\n' | b'Let p(x) = -22*x**4 - 3*x**3 - 2*x**2 - 67*x + 1374. Let d(t) = -t**4 - 3*t**3 - 2*t**2 + 1. Let o(a) = d(a) - p(a). Differentiate o(c) with respect to c.\n' | b'84*c**3 + 67\n' | deepmind/math_dataset |
b'Let k(o) be the first derivative of -o**4/4 - 7*o**3/3 - o**2/2 + 8*o - 291. What is k(-6)?\n' | b'-22\n' | b'Let k(o) be the first derivative of -o**4/4 - 7*o**3/3 - o**2/2 + 8*o - 291. What is k(-6)?\n' | b'-22\n' | deepmind/math_dataset |
b'Let z(m) be the second derivative of m**4/12 + m**3 - 3*m**2/2 + 277*m. Let u(w) = w**3 - 2*w**2 + 2*w - 8. Let x be u(0). Calculate z(x).\n' | b'13\n' | b'Let z(m) be the second derivative of m**4/12 + m**3 - 3*m**2/2 + 277*m. Let u(w) = w**3 - 2*w**2 + 2*w - 8. Let x be u(0). Calculate z(x).\n' | b'13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from lkeekerlkre. What is prob of picking 2 l?\n' | b'1/55\n' | b'Two letters picked without replacement from lkeekerlkre. What is prob of picking 2 l?\n' | b'1/55\n' | deepmind/math_dataset |
b'Let o(y) = -6*y**2 + 14*y - 10. Let j(w) = w**2 - 3*w + 2. Let p(x) = 11*j(x) + 2*o(x). Determine p(-5).\n' | b'2\n' | b'Let o(y) = -6*y**2 + 14*y - 10. Let j(w) = w**2 - 3*w + 2. Let p(x) = 11*j(x) + 2*o(x). Determine p(-5).\n' | b'2\n' | deepmind/math_dataset |
b'Let n(p) be the third derivative of 13*p**8/336 + 17*p**4/24 - 5*p**2. Find the second derivative of n(f) wrt f.\n' | b'260*f**3\n' | b'Let n(p) be the third derivative of 13*p**8/336 + 17*p**4/24 - 5*p**2. Find the second derivative of n(f) wrt f.\n' | b'260*f**3\n' | deepmind/math_dataset |
b'Suppose 2*t + 2 = -18. Let x(r) = -2*r - 12. Let l be x(t). Solve f + 5*y - l = -0*f, f + y - 4 = 0 for f.\n' | b'3\n' | b'Suppose 2*t + 2 = -18. Let x(r) = -2*r - 12. Let l be x(t). Solve f + 5*y - l = -0*f, f + y - 4 = 0 for f.\n' | b'3\n' | deepmind/math_dataset |
b'Let z = 9 + -4. Suppose -3*c = 4*b - 8*c - 60, 20 = 4*b + z*c. Solve -b = 3*m - 5*n + 20, 4*m + n + 17 = 0 for m.\n' | b'-5\n' | b'Let z = 9 + -4. Suppose -3*c = 4*b - 8*c - 60, 20 = 4*b + z*c. Solve -b = 3*m - 5*n + 20, 4*m + n + 17 = 0 for m.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (i**(1/12))**(-1/3)*(i**(-2/9)*i)**(-18/5) assuming i is positive.\n' | b'i**(-509/180)\n' | b'Simplify (i**(1/12))**(-1/3)*(i**(-2/9)*i)**(-18/5) assuming i is positive.\n' | b'i**(-509/180)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from aaal. What is prob of picking 1 a and 1 l?\n' | b'1/2\n' | b'Two letters picked without replacement from aaal. What is prob of picking 1 a and 1 l?\n' | b'1/2\n' | deepmind/math_dataset |
b'What is prob of sequence qmr when three letters picked without replacement from rmmqdmmmq?\n' | b'5/252\n' | b'What is prob of sequence qmr when three letters picked without replacement from rmmqdmmmq?\n' | b'5/252\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 3, k: 2, r: 1, x: 3, o: 1, w: 1}. What is prob of sequence gw?\n' | b'3/110\n' | b'Two letters picked without replacement from {g: 3, k: 2, r: 1, x: 3, o: 1, w: 1}. What is prob of sequence gw?\n' | b'3/110\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nsensejiaiei. What is prob of sequence jnse?\n' | b'1/990\n' | b'Four letters picked without replacement from nsensejiaiei. What is prob of sequence jnse?\n' | b'1/990\n' | deepmind/math_dataset |
b'Simplify (l**(-6/5)*l)/l**7*l**(1/2)*l**(-2) assuming l is positive.\n' | b'l**(-87/10)\n' | b'Simplify (l**(-6/5)*l)/l**7*l**(1/2)*l**(-2) assuming l is positive.\n' | b'l**(-87/10)\n' | deepmind/math_dataset |
b'Let t = 728 + -727. Let r(g) = -4*g + 1 + 0 - 5*g. Determine r(t).\n' | b'-8\n' | b'Let t = 728 + -727. Let r(g) = -4*g + 1 + 0 - 5*g. Determine r(t).\n' | b'-8\n' | deepmind/math_dataset |
b'What is prob of picking 2 v and 2 k when four letters picked without replacement from {v: 8, k: 4, w: 4}?\n' | b'6/65\n' | b'What is prob of picking 2 v and 2 k when four letters picked without replacement from {v: 8, k: 4, w: 4}?\n' | b'6/65\n' | deepmind/math_dataset |
b'Simplify (b**(-2/9)*b)**(5/2)/(b**(2/33)/b**3) assuming b is positive.\n' | b'b**(967/198)\n' | b'Simplify (b**(-2/9)*b)**(5/2)/(b**(2/33)/b**3) assuming b is positive.\n' | b'b**(967/198)\n' | deepmind/math_dataset |
b'What is prob of picking 3 y and 1 j when four letters picked without replacement from yyyyyyyyyjyyyyyyyyyy?\n' | b'1/5\n' | b'What is prob of picking 3 y and 1 j when four letters picked without replacement from yyyyyyyyyjyyyyyyyyyy?\n' | b'1/5\n' | deepmind/math_dataset |
b'Suppose 0 = 5*v - 10*v - 5, -2 = z + 4*v. Let g(d) = -z*d + 0*d + 5*d - d. Let m be (-2 + 0)*6/4. What is g(m)?\n' | b'-6\n' | b'Suppose 0 = 5*v - 10*v - 5, -2 = z + 4*v. Let g(d) = -z*d + 0*d + 5*d - d. Let m be (-2 + 0)*6/4. What is g(m)?\n' | b'-6\n' | deepmind/math_dataset |
b'Let a = -317 + -280. Let x = -602 - a. Let f(c) = -2*c - 3. What is f(x)?\n' | b'7\n' | b'Let a = -317 + -280. Let x = -602 - a. Let f(c) = -2*c - 3. What is f(x)?\n' | b'7\n' | deepmind/math_dataset |
b'Let b be 4 + (14/(-4) - (-9 - 75/(-10))). Solve 5*m + 7*j + 27 = 6*j, 0 = -b*m - 3*j - 16 for m.\n' | b'-5\n' | b'Let b be 4 + (14/(-4) - (-9 - 75/(-10))). Solve 5*m + 7*j + 27 = 6*j, 0 = -b*m - 3*j - 16 for m.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 k, 1 d, and 1 o when four letters picked without replacement from kjodkkj.\n' | b'3/35\n' | b'Calculate prob of picking 2 k, 1 d, and 1 o when four letters picked without replacement from kjodkkj.\n' | b'3/35\n' | deepmind/math_dataset |
b'Let b(f) be the third derivative of f**7/10 + 43*f**3/6 + 12*f**2 - f. Differentiate b(t) wrt t.\n' | b'84*t**3\n' | b'Let b(f) be the third derivative of f**7/10 + 43*f**3/6 + 12*f**2 - f. Differentiate b(t) wrt t.\n' | b'84*t**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence al when two letters picked without replacement from {g: 1, j: 4, a: 2, l: 1, m: 1, c: 6}.\n' | b'1/105\n' | b'Calculate prob of sequence al when two letters picked without replacement from {g: 1, j: 4, a: 2, l: 1, m: 1, c: 6}.\n' | b'1/105\n' | deepmind/math_dataset |
b'Simplify (t/t**(-11)*t*t**(5/6))/((t/((t*t/t**(-8/3))/t))/(t/t**(-7))) assuming t is positive.\n' | b't**(49/2)\n' | b'Simplify (t/t**(-11)*t*t**(5/6))/((t/((t*t/t**(-8/3))/t))/(t/t**(-7))) assuming t is positive.\n' | b't**(49/2)\n' | deepmind/math_dataset |
b'Simplify (((x*x**(2/33)/x)/x)/x*x)/(x*x**(1/9)) assuming x is positive.\n' | b'x**(-203/99)\n' | b'Simplify (((x*x**(2/33)/x)/x)/x*x)/(x*x**(1/9)) assuming x is positive.\n' | b'x**(-203/99)\n' | deepmind/math_dataset |
b'What is prob of picking 1 z and 1 y when two letters picked without replacement from {z: 1, y: 9, b: 1}?\n' | b'9/55\n' | b'What is prob of picking 1 z and 1 y when two letters picked without replacement from {z: 1, y: 9, b: 1}?\n' | b'9/55\n' | deepmind/math_dataset |
b'What is prob of picking 4 m when four letters picked without replacement from {t: 3, m: 5}?\n' | b'1/14\n' | b'What is prob of picking 4 m when four letters picked without replacement from {t: 3, m: 5}?\n' | b'1/14\n' | deepmind/math_dataset |
b'Let v(h) = h**3 - 22*h**2 + 8*h - 14. Let n be v(22). Let i be 5*(n/(-30) - -6). Solve f - i*g - 12 = -1, -3*f + g + 1 = 0 for f.\n' | b'-1\n' | b'Let v(h) = h**3 - 22*h**2 + 8*h - 14. Let n be v(22). Let i be 5*(n/(-30) - -6). Solve f - i*g - 12 = -1, -3*f + g + 1 = 0 for f.\n' | b'-1\n' | deepmind/math_dataset |
b'What is the third derivative of -o**2 - 4*o**2 + 0*o**2 - 2*o**3 wrt o?\n' | b'-12\n' | b'What is the third derivative of -o**2 - 4*o**2 + 0*o**2 - 2*o**3 wrt o?\n' | b'-12\n' | deepmind/math_dataset |
b'Calculate prob of sequence lf when two letters picked without replacement from yddddyyylldddddfdl.\n' | b'1/102\n' | b'Calculate prob of sequence lf when two letters picked without replacement from yddddyyylldddddfdl.\n' | b'1/102\n' | deepmind/math_dataset |
b'Let u(d) = -d + 9. Let v(c) = -c**3 - 8*c**2 - c - 6. Let g be v(-8). Suppose -2*b - 2*x = x + 15, g*b = -4*x - 20. Give u(b).\n' | b'9\n' | b'Let u(d) = -d + 9. Let v(c) = -c**3 - 8*c**2 - c - 6. Let g be v(-8). Suppose -2*b - 2*x = x + 15, g*b = -4*x - 20. Give u(b).\n' | b'9\n' | deepmind/math_dataset |
b'Simplify ((((k*k/(((k*k**1*k)/k*k)/k)*k*k)/((k*k*k/k**(-2/15)*k*k)/k))**(-14))**(-6/29))**5 assuming k is positive.\n' | b'k**(-896/29)\n' | b'Simplify ((((k*k/(((k*k**1*k)/k*k)/k)*k*k)/((k*k*k/k**(-2/15)*k*k)/k))**(-14))**(-6/29))**5 assuming k is positive.\n' | b'k**(-896/29)\n' | deepmind/math_dataset |
b'Suppose 3*h - 15 = -0*a - 4*a, 2*h + 4*a = 14. Solve -3*j = -2*n + 4 - 0, j + h = n for j.\n' | b'-2\n' | b'Suppose 3*h - 15 = -0*a - 4*a, 2*h + 4*a = 14. Solve -3*j = -2*n + 4 - 0, j + h = n for j.\n' | b'-2\n' | deepmind/math_dataset |
b'Let w = 11 + -15. Let k be w/3*(-3)/2. Solve 3*z + 2*t - 10 = 0, -t - t = k*z - 8 for z.\n' | b'2\n' | b'Let w = 11 + -15. Let k be w/3*(-3)/2. Solve 3*z + 2*t - 10 = 0, -t - t = k*z - 8 for z.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (u**(-1/9)*u*u**(-5))/(u**6/(u**(1/4)*u)) assuming u is positive.\n' | b'u**(-319/36)\n' | b'Simplify (u**(-1/9)*u*u**(-5))/(u**6/(u**(1/4)*u)) assuming u is positive.\n' | b'u**(-319/36)\n' | deepmind/math_dataset |
b'Let r(p) = p**2 - 4*p - 42. Let x be r(9). Let a(i) = i + 4. Let k(h) = -4*h - 17. Let t(d) = 26*a(d) + 6*k(d). What is t(x)?\n' | b'8\n' | b'Let r(p) = p**2 - 4*p - 42. Let x be r(9). Let a(i) = i + 4. Let k(h) = -4*h - 17. Let t(d) = 26*a(d) + 6*k(d). What is t(x)?\n' | b'8\n' | deepmind/math_dataset |
b'Suppose 5*h - 1733 = -1713. Solve -4*a = y + y - 20, 0 = h*a - 2*y - 12 for a.\n' | b'4\n' | b'Suppose 5*h - 1733 = -1713. Solve -4*a = y + y - 20, 0 = h*a - 2*y - 12 for a.\n' | b'4\n' | deepmind/math_dataset |
b'Let x be 4 - (-5 + (0 - -5)). Suppose -2*l - 52 = -3*n, -61 = -2*n - x*l - 5. Solve -n = 4*s - v, 5*s + 2*v + 11 + 14 = 0 for s.\n' | b'-5\n' | b'Let x be 4 - (-5 + (0 - -5)). Suppose -2*l - 52 = -3*n, -61 = -2*n - x*l - 5. Solve -n = 4*s - v, 5*s + 2*v + 11 + 14 = 0 for s.\n' | b'-5\n' | deepmind/math_dataset |
b'Let d = 45 + -38. Solve d*l - 3*a - 8 = 3*l, l - 2*a + 3 = 0 for l.\n' | b'5\n' | b'Let d = 45 + -38. Solve d*l - 3*a - 8 = 3*l, l - 2*a + 3 = 0 for l.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (j**(-27)/j)/j*j*(j*j**50*j)/j assuming j is positive.\n' | b'j**23\n' | b'Simplify (j**(-27)/j)/j*j*(j*j**50*j)/j assuming j is positive.\n' | b'j**23\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 v when four letters picked without replacement from {k: 2, v: 5}.\n' | b'1/7\n' | b'Calculate prob of picking 4 v when four letters picked without replacement from {k: 2, v: 5}.\n' | b'1/7\n' | deepmind/math_dataset |
b'Let s(v) = -v**3 + 11*v**2 + 8*v - 10. Let p be s(10). Let q be 13210/90 + 4/18. Differentiate q + 3*u - p + 6*u + 13*u with respect to u.\n' | b'22\n' | b'Let s(v) = -v**3 + 11*v**2 + 8*v - 10. Let p be s(10). Let q be 13210/90 + 4/18. Differentiate q + 3*u - p + 6*u + 13*u with respect to u.\n' | b'22\n' | deepmind/math_dataset |
b'Suppose 0*j = 5*j + 2*s - 62, -3*s + 3 = 0. Let w = 47 + -44. Solve -5*x = 3*f + 28, w*f = 3*x - 0*x + j for f.\n' | b'-1\n' | b'Suppose 0*j = 5*j + 2*s - 62, -3*s + 3 = 0. Let w = 47 + -44. Solve -5*x = 3*f + 28, w*f = 3*x - 0*x + j for f.\n' | b'-1\n' | deepmind/math_dataset |
b'Let p be 4/6*(-2 - -11). Let l(y) = y**3 - 6*y**2 + y - 6. Let i be l(p). Find the third derivative of 2*n**2 - n**3 + i + 0 wrt n.\n' | b'-6\n' | b'Let p be 4/6*(-2 - -11). Let l(y) = y**3 - 6*y**2 + y - 6. Let i be l(p). Find the third derivative of 2*n**2 - n**3 + i + 0 wrt n.\n' | b'-6\n' | deepmind/math_dataset |
b'Let j(i) be the second derivative of -1/6*i**4 - 39/2*i**2 + 0*i**3 + 0*i**5 + 3*i + 5/21*i**7 + 0*i**6 - 2. Find the third derivative of j(f) wrt f.\n' | b'600*f**2\n' | b'Let j(i) be the second derivative of -1/6*i**4 - 39/2*i**2 + 0*i**3 + 0*i**5 + 3*i + 5/21*i**7 + 0*i**6 - 2. Find the third derivative of j(f) wrt f.\n' | b'600*f**2\n' | deepmind/math_dataset |
b'Suppose -2*a - a + 9 = 0. Let t(i) = -2*i + 4*i**2 + 1 - i**2 - 2*i**2 - i**a + 4*i. Determine t(2).\n' | b'1\n' | b'Suppose -2*a - a + 9 = 0. Let t(i) = -2*i + 4*i**2 + 1 - i**2 - 2*i**2 - i**a + 4*i. Determine t(2).\n' | b'1\n' | deepmind/math_dataset |
b'Let i(b) = 888*b**2 - 38 + 863*b**2 + 36*b - 1753*b**2 + 155. Give i(-3).\n' | b'-9\n' | b'Let i(b) = 888*b**2 - 38 + 863*b**2 + 36*b - 1753*b**2 + 155. Give i(-3).\n' | b'-9\n' | deepmind/math_dataset |
b'Simplify u**2/u*u*u**(2/7)*(u*u**0/u)/(u/u**14*u) assuming u is positive.\n' | b'u**(100/7)\n' | b'Simplify u**2/u*u*u**(2/7)*(u*u**0/u)/(u/u**14*u) assuming u is positive.\n' | b'u**(100/7)\n' | deepmind/math_dataset |
b'Let z = -63 - -68. Suppose 2*l + 0 = 2. Suppose -3*i = -z - l. Let s(r) = 2*r**3 - 3*r**2 - r + 2. Calculate s(i).\n' | b'4\n' | b'Let z = -63 - -68. Suppose 2*l + 0 = 2. Suppose -3*i = -z - l. Let s(r) = 2*r**3 - 3*r**2 - r + 2. Calculate s(i).\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gwegwmgoeemggmwg. Give prob of picking 1 o and 2 e.\n' | b'3/560\n' | b'Three letters picked without replacement from gwegwmgoeemggmwg. Give prob of picking 1 o and 2 e.\n' | b'3/560\n' | deepmind/math_dataset |
b'Let g be (1/3)/(-12 - 327/(-27)). Let z(p) be the first derivative of -g + 1/2*p**2 - 8*p. Determine z(5).\n' | b'-3\n' | b'Let g be (1/3)/(-12 - 327/(-27)). Let z(p) be the first derivative of -g + 1/2*p**2 - 8*p. Determine z(5).\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j and 2 w when three letters picked without replacement from jjjwsssswsss.\n' | b'3/220\n' | b'Calculate prob of picking 1 j and 2 w when three letters picked without replacement from jjjwsssswsss.\n' | b'3/220\n' | deepmind/math_dataset |
b'Let p be 15/9 - (10/(-3) + 3). Let q be (-8 + 6 + 2)*p/(-4). Solve 2*t - 2*r + 2 = q, 2*r + 2*r = -4 for t.\n' | b'-2\n' | b'Let p be 15/9 - (10/(-3) + 3). Let q be (-8 + 6 + 2)*p/(-4). Solve 2*t - 2*r + 2 = q, 2*r + 2*r = -4 for t.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of sequence yjj when three letters picked without replacement from oujyeuuouhuuo?\n' | b'0\n' | b'What is prob of sequence yjj when three letters picked without replacement from oujyeuuouhuuo?\n' | b'0\n' | deepmind/math_dataset |
b'Let p(y) = -y - 3. Let w be 5*-1*(-3 - -2). Let d be p(w). Let l be (6/(-4) + 1)*d. Solve 5*v - 10 = l*g, 4*v + 9 = 1 for g.\n' | b'-5\n' | b'Let p(y) = -y - 3. Let w be 5*-1*(-3 - -2). Let d be p(w). Let l be (6/(-4) + 1)*d. Solve 5*v - 10 = l*g, 4*v + 9 = 1 for g.\n' | b'-5\n' | deepmind/math_dataset |
b'Let n = 20 + -18. Let u(o) = 13*o**2 - 16*o - 1. Let d(y) = -4*y**2 + 5*y. Let a(z) = -7*d(z) - 2*u(z). Give a(n).\n' | b'4\n' | b'Let n = 20 + -18. Let u(o) = 13*o**2 - 16*o - 1. Let d(y) = -4*y**2 + 5*y. Let a(z) = -7*d(z) - 2*u(z). Give a(n).\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -5*x - 5*m = -15, 2*x + 3 = 3*x + 4*m. Let j = x - 1. Find the third derivative of 0*n**2 - 1 + 3*n**2 + j*n**6 + 1 wrt n.\n' | b'240*n**3\n' | b'Suppose -5*x - 5*m = -15, 2*x + 3 = 3*x + 4*m. Let j = x - 1. Find the third derivative of 0*n**2 - 1 + 3*n**2 + j*n**6 + 1 wrt n.\n' | b'240*n**3\n' | deepmind/math_dataset |
b'Simplify ((y*y**(2/99))/(y/(y/((y/((y/y**(-4/11))/y))/y))))**(-14) assuming y is positive.\n' | b'y**(-1918/99)\n' | b'Simplify ((y*y**(2/99))/(y/(y/((y/((y/y**(-4/11))/y))/y))))**(-14) assuming y is positive.\n' | b'y**(-1918/99)\n' | deepmind/math_dataset |
b'What is prob of sequence noz when three letters picked without replacement from snwszoozowznooos?\n' | b'3/280\n' | b'What is prob of sequence noz when three letters picked without replacement from snwszoozowznooos?\n' | b'3/280\n' | deepmind/math_dataset |
b'Let s = 56 - 31. Solve 3*n = -3*w - n + 17, -5*w - 5*n + s = 0 for w.\n' | b'3\n' | b'Let s = 56 - 31. Solve 3*n = -3*w - n + 17, -5*w - 5*n + s = 0 for w.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 1, t: 1, n: 4, y: 2}. What is prob of picking 1 n and 1 t?\n' | b'1/7\n' | b'Two letters picked without replacement from {j: 1, t: 1, n: 4, y: 2}. What is prob of picking 1 n and 1 t?\n' | b'1/7\n' | deepmind/math_dataset |
b'Let n be 60/54*(-27)/(-3). Suppose 3*q + 2 + 8 = -2*r, 2*q + n = 2*r. Solve -h = 2*o + 6, -2 = h - 3*o - r for h.\n' | b'-4\n' | b'Let n be 60/54*(-27)/(-3). Suppose 3*q + 2 + 8 = -2*r, 2*q + n = 2*r. Solve -h = 2*o + 6, -2 = h - 3*o - r for h.\n' | b'-4\n' | deepmind/math_dataset |
b'Let m = -39 + 35. Let v be (11 - m)*12/15. Find the first derivative of 5*i**4 - 364*i**3 - v + 364*i**3 wrt i.\n' | b'20*i**3\n' | b'Let m = -39 + 35. Let v be (11 - m)*12/15. Find the first derivative of 5*i**4 - 364*i**3 - v + 364*i**3 wrt i.\n' | b'20*i**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from agaauuaaauu. What is prob of picking 1 g and 1 a?\n' | b'6/55\n' | b'Two letters picked without replacement from agaauuaaauu. What is prob of picking 1 g and 1 a?\n' | b'6/55\n' | deepmind/math_dataset |
b'Let q(y) = 5*y**3 + 7 + 2*y**3 + 0*y - 8*y**3 + y - 5*y**2. Let b be q(-5). What is the first derivative of 3 + 3*r**2 - b - 2 wrt r?\n' | b'6*r\n' | b'Let q(y) = 5*y**3 + 7 + 2*y**3 + 0*y - 8*y**3 + y - 5*y**2. Let b be q(-5). What is the first derivative of 3 + 3*r**2 - b - 2 wrt r?\n' | b'6*r\n' | deepmind/math_dataset |
b'Suppose 10 = 5*r - 4*r. Suppose 0 = -3*v - 3*o + 21, 3*v - 3*o = 38 - 17. Let p = r - v. Let s(w) = -w**2 + 7*w - 2. Calculate s(p).\n' | b'10\n' | b'Suppose 10 = 5*r - 4*r. Suppose 0 = -3*v - 3*o + 21, 3*v - 3*o = 38 - 17. Let p = r - v. Let s(w) = -w**2 + 7*w - 2. Calculate s(p).\n' | b'10\n' | deepmind/math_dataset |
b'Let r be ((-12)/10)/((-1)/15). Suppose -2*j + r = 6. Suppose -4*l = -6 - j. Solve l*k - 3 + 9 = -3*i, 3*k - i + 10 = 0 for k.\n' | b'-3\n' | b'Let r be ((-12)/10)/((-1)/15). Suppose -2*j + r = 6. Suppose -4*l = -6 - j. Solve l*k - 3 + 9 = -3*i, 3*k - i + 10 = 0 for k.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 2 q and 2 e when four letters picked without replacement from {q: 2, e: 2, w: 1, m: 7, p: 6}?\n' | b'1/3060\n' | b'What is prob of picking 2 q and 2 e when four letters picked without replacement from {q: 2, e: 2, w: 1, m: 7, p: 6}?\n' | b'1/3060\n' | deepmind/math_dataset |
b'Let j(d) = 21*d**4 - 6*d**3 - 6*d + 9. Let i(f) = 43*f**4 - 13*f**3 - 13*f + 19. Let t(x) = 6*i(x) - 13*j(x). Find the first derivative of t(k) wrt k.\n' | b'-60*k**3\n' | b'Let j(d) = 21*d**4 - 6*d**3 - 6*d + 9. Let i(f) = 43*f**4 - 13*f**3 - 13*f + 19. Let t(x) = 6*i(x) - 13*j(x). Find the first derivative of t(k) wrt k.\n' | b'-60*k**3\n' | deepmind/math_dataset |
b'Let x(b) = -17*b**2 + 109*b + 95. Let n(j) = -3*j**2 + 22*j + 19. Let t(i) = 11*n(i) - 2*x(i). What is t(-23)?\n' | b'-4\n' | b'Let x(b) = -17*b**2 + 109*b + 95. Let n(j) = -3*j**2 + 22*j + 19. Let t(i) = 11*n(i) - 2*x(i). What is t(-23)?\n' | b'-4\n' | deepmind/math_dataset |
b'Find the second derivative of 0*c**3 - 3*c**3 + 99*c - 98*c wrt c.\n' | b'-18*c\n' | b'Find the second derivative of 0*c**3 - 3*c**3 + 99*c - 98*c wrt c.\n' | b'-18*c\n' | deepmind/math_dataset |
b'Let n be (0/(-1) + 0)/(-2). Let d = n + 0. Let z = -13618 + 13618. Solve -5*k + 3*m = 25, -3*k + d*k + 2*m - 16 = z for k.\n' | b'-2\n' | b'Let n be (0/(-1) + 0)/(-2). Let d = n + 0. Let z = -13618 + 13618. Solve -5*k + 3*m = 25, -3*k + d*k + 2*m - 16 = z for k.\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 1, l: 3, x: 3, p: 2, n: 1}. What is prob of sequence flf?\n' | b'0\n' | b'Three letters picked without replacement from {f: 1, l: 3, x: 3, p: 2, n: 1}. What is prob of sequence flf?\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (b**(-1/3)/b)**20/(b**(1/5)/(b*b**(-1/4))) assuming b is positive.\n' | b'b**(-1567/60)\n' | b'Simplify (b**(-1/3)/b)**20/(b**(1/5)/(b*b**(-1/4))) assuming b is positive.\n' | b'b**(-1567/60)\n' | deepmind/math_dataset |
b'Let y = -33 + 23. Let k = y + 15. Solve -x = i + 3*x + 1, -3*i - 20 = -k*x for i.\n' | b'-5\n' | b'Let y = -33 + 23. Let k = y + 15. Solve -x = i + 3*x + 1, -3*i - 20 = -k*x for i.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of picking 3 n and 1 g when four letters picked without replacement from {n: 6, g: 7}?\n' | b'28/143\n' | b'What is prob of picking 3 n and 1 g when four letters picked without replacement from {n: 6, g: 7}?\n' | b'28/143\n' | deepmind/math_dataset |
b'Suppose -4*w - 2*j + 182 = 0, 3*w + 30 = 2*j + 184. Let h be w/(-15)*25/(-10). Solve 8 = -y - 5*f, -2*f = 4*y - 6*f + h for y.\n' | b'-3\n' | b'Suppose -4*w - 2*j + 182 = 0, 3*w + 30 = 2*j + 184. Let h be w/(-15)*25/(-10). Solve 8 = -y - 5*f, -2*f = 4*y - 6*f + h for y.\n' | b'-3\n' | deepmind/math_dataset |
b'Let f(x) = 7*x**4 + 4*x**2. Let y(u) = -21*u**4 - 11*u**2. Let h(g) = -8*f(g) - 3*y(g). What is the third derivative of h(t) wrt t?\n' | b'168*t\n' | b'Let f(x) = 7*x**4 + 4*x**2. Let y(u) = -21*u**4 - 11*u**2. Let h(g) = -8*f(g) - 3*y(g). What is the third derivative of h(t) wrt t?\n' | b'168*t\n' | deepmind/math_dataset |
b'Two letters picked without replacement from aaaaqaaqa. What is prob of picking 2 q?\n' | b'1/36\n' | b'Two letters picked without replacement from aaaaqaaqa. What is prob of picking 2 q?\n' | b'1/36\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 r and 1 w when three letters picked without replacement from rcdrccdccrrwd.\n' | b'3/143\n' | b'Calculate prob of picking 2 r and 1 w when three letters picked without replacement from rcdrccdccrrwd.\n' | b'3/143\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 v when four letters picked without replacement from gvhvvgvhvghvvggvg.\n' | b'1/34\n' | b'Calculate prob of picking 4 v when four letters picked without replacement from gvhvvgvhvghvvggvg.\n' | b'1/34\n' | deepmind/math_dataset |
b'What is prob of picking 1 o, 1 q, and 1 s when three letters picked without replacement from {l: 1, d: 1, o: 2, i: 2, s: 1, q: 1}?\n' | b'1/28\n' | b'What is prob of picking 1 o, 1 q, and 1 s when three letters picked without replacement from {l: 1, d: 1, o: 2, i: 2, s: 1, q: 1}?\n' | b'1/28\n' | deepmind/math_dataset |
b'Let d(v) = v**3 - 5*v**2 + 2. Let p(o) = 16*o**2 + 4*o**3 - 15*o**3 - 6 + 7*o**3. Let n(f) = 7*d(f) + 2*p(f). Give n(-3).\n' | b'2\n' | b'Let d(v) = v**3 - 5*v**2 + 2. Let p(o) = 16*o**2 + 4*o**3 - 15*o**3 - 6 + 7*o**3. Let n(f) = 7*d(f) + 2*p(f). Give n(-3).\n' | b'2\n' | deepmind/math_dataset |
b'Let t(o) = 6*o**2 - 2*o. Let y be t(1). Suppose -3*j = -y*v - 7, -15 = 5*v + j - 6*j. What is the derivative of 5*b**2 - 6*b**v - 13 - 4*b**2 wrt b?\n' | b'-10*b\n' | b'Let t(o) = 6*o**2 - 2*o. Let y be t(1). Suppose -3*j = -y*v - 7, -15 = 5*v + j - 6*j. What is the derivative of 5*b**2 - 6*b**v - 13 - 4*b**2 wrt b?\n' | b'-10*b\n' | deepmind/math_dataset |
b'Let x = -129 - -144. Suppose 4 = x*q - 11*q. Solve -4*j + 4*h + 20 = 0, -6*j + j + q = 3*h for j.\n' | b'2\n' | b'Let x = -129 - -144. Suppose 4 = x*q - 11*q. Solve -4*j + 4*h + 20 = 0, -6*j + j + q = 3*h for j.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 d and 1 j when four letters picked without replacement from {j: 2, d: 4}.\n' | b'8/15\n' | b'Calculate prob of picking 3 d and 1 j when four letters picked without replacement from {j: 2, d: 4}.\n' | b'8/15\n' | deepmind/math_dataset |
b'Let x(d) be the third derivative of d**9/1008 + d**6/180 - d**3/2 - 3*d**2. Let n(t) be the first derivative of x(t). Find the third derivative of n(b) wrt b.\n' | b'180*b**2\n' | b'Let x(d) be the third derivative of d**9/1008 + d**6/180 - d**3/2 - 3*d**2. Let n(t) be the first derivative of x(t). Find the third derivative of n(b) wrt b.\n' | b'180*b**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence sooo when four letters picked without replacement from ooososs.\n' | b'3/35\n' | b'Calculate prob of sequence sooo when four letters picked without replacement from ooososs.\n' | b'3/35\n' | deepmind/math_dataset |
b'Simplify (d**(-6)*d*d/(d**(4/7)/d)*d)/(d**(-10)/(d*d*d**3*d)) assuming d is positive.\n' | b'd**(94/7)\n' | b'Simplify (d**(-6)*d*d/(d**(4/7)/d)*d)/(d**(-10)/(d*d*d**3*d)) assuming d is positive.\n' | b'd**(94/7)\n' | deepmind/math_dataset |
b'Let l(d) be the third derivative of 11*d**6/120 - d**5/60 - d**4/24 + 2*d**2 + 1191. Suppose 1 - 3 = 2*v. What is l(v)?\n' | b'-11\n' | b'Let l(d) be the third derivative of 11*d**6/120 - d**5/60 - d**4/24 + 2*d**2 + 1191. Suppose 1 - 3 = 2*v. What is l(v)?\n' | b'-11\n' | deepmind/math_dataset |
b'What is prob of sequence iz when two letters picked without replacement from whcwwhiiiwhhhiwicz?\n' | b'5/306\n' | b'What is prob of sequence iz when two letters picked without replacement from whcwwhiiiwhhhiwicz?\n' | b'5/306\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ppppbbwbpppppbbpbppb. Give prob of picking 1 p and 1 b.\n' | b'42/95\n' | b'Two letters picked without replacement from ppppbbwbpppppbbpbppb. Give prob of picking 1 p and 1 b.\n' | b'42/95\n' | deepmind/math_dataset |
b'Let w(k) = -3*k + 76. Let g(x) = -2*x + 29. Let o(m) = -5*g(m) + 2*w(m). Suppose -3*s = 56 - 8. Let n = 11 + s. Give o(n).\n' | b'-13\n' | b'Let w(k) = -3*k + 76. Let g(x) = -2*x + 29. Let o(m) = -5*g(m) + 2*w(m). Suppose -3*s = 56 - 8. Let n = 11 + s. Give o(n).\n' | b'-13\n' | deepmind/math_dataset |
b'Suppose 0 = -466*v + 472*v - 24. Find the third derivative of 6*u**2 - 3*u**2 - 12*u**4 + 10*u**2 + 24*u**4 + 28*u**v wrt u.\n' | b'960*u\n' | b'Suppose 0 = -466*v + 472*v - 24. Find the third derivative of 6*u**2 - 3*u**2 - 12*u**4 + 10*u**2 + 24*u**4 + 28*u**v wrt u.\n' | b'960*u\n' | deepmind/math_dataset |
b'Suppose -4*s + 12 = -0*s. Suppose -o + 4*o = -s. Let h(f) = -387 + 14*f**2 - f + 2*f**2 + 386. What is h(o)?\n' | b'16\n' | b'Suppose -4*s + 12 = -0*s. Suppose -o + 4*o = -s. Let h(f) = -387 + 14*f**2 - f + 2*f**2 + 386. What is h(o)?\n' | b'16\n' | deepmind/math_dataset |
b'Let h(i) = -15*i + 23. Let t(v) = 48*v - 73. Let z(a) = 19*h(a) + 6*t(a). Give z(2).\n' | b'5\n' | b'Let h(i) = -15*i + 23. Let t(v) = 48*v - 73. Let z(a) = 19*h(a) + 6*t(a). Give z(2).\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -3*b - 4 = -d, -5*d - 3*b + 0 = -2. Let a(n) = n + 4*n + 1 + 0. What is a(d)?\n' | b'6\n' | b'Suppose -3*b - 4 = -d, -5*d - 3*b + 0 = -2. Let a(n) = n + 4*n + 1 + 0. What is a(d)?\n' | b'6\n' | deepmind/math_dataset |
b'Let u(s) = 8*s**2 + s. Let o(b) = -17*b**2 - 3*b. Let t(x) = 2*o(x) + 5*u(x). Give t(1).\n' | b'5\n' | b'Let u(s) = 8*s**2 + s. Let o(b) = -17*b**2 - 3*b. Let t(x) = 2*o(x) + 5*u(x). Give t(1).\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -8 = -2*o - 2*b, -46 = 2*o - 4*b - 60. Let f(v) = -2*v + 2*v**2 - 4*v - v**3 + 7 + 4*v**2. What is f(o)?\n' | b'2\n' | b'Suppose -8 = -2*o - 2*b, -46 = 2*o - 4*b - 60. Let f(v) = -2*v + 2*v**2 - 4*v - v**3 + 7 + 4*v**2. What is f(o)?\n' | b'2\n' | deepmind/math_dataset |
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