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'Two letters picked without replacement from {j: 9, m: 9, h: 1}. What is prob of picking 2 j?\n' | b'4/19\n' | b'Two letters picked without replacement from {j: 9, m: 9, h: 1}. What is prob of picking 2 j?\n' | b'4/19\n' | deepmind/math_dataset |
b'Calculate prob of sequence jb when two letters picked without replacement from dhbdhbbjbhlbhbbddbl.\n' | b'4/171\n' | b'Calculate prob of sequence jb when two letters picked without replacement from dhbdhbbjbhlbhbbddbl.\n' | b'4/171\n' | deepmind/math_dataset |
b'Suppose -16 = -2*s + 3*b, 0 = -s - b + 1 - 3. What is the third derivative of -3*t**s + 601*t**5 - 12*t**2 - 609*t**5 wrt t?\n' | b'-480*t**2\n' | b'Suppose -16 = -2*s + 3*b, 0 = -s - b + 1 - 3. What is the third derivative of -3*t**s + 601*t**5 - 12*t**2 - 609*t**5 wrt t?\n' | b'-480*t**2\n' | deepmind/math_dataset |
b'Let k(i) = -i**2 + 8*i + 2. Let y be k(8). Let q(t) = t**3 - 8*t**2 - 9*t - 11. Let z be q(9). Let w = 14 + z. Solve 2 = 4*v + 2*s, v + w*s + 11 = y*v for v.\n' | b'2\n' | b'Let k(i) = -i**2 + 8*i + 2. Let y be k(8). Let q(t) = t**3 - 8*t**2 - 9*t - 11. Let z be q(9). Let w = 14 + z. Solve 2 = 4*v + 2*s, v + w*s + 11 = y*v for v.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 0 = 20*b - 53 + 13. Solve c + 18 = 5*w, 18 = -b*c + 5*w - w for c.\n' | b'-3\n' | b'Suppose 0 = 20*b - 53 + 13. Solve c + 18 = 5*w, 18 = -b*c + 5*w - w for c.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from lnqqnslqmqmnmm. What is prob of picking 1 l and 1 n?\n' | b'6/91\n' | b'Two letters picked without replacement from lnqqnslqmqmnmm. What is prob of picking 1 l and 1 n?\n' | b'6/91\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 10, j: 4}. What is prob of sequence jjjj?\n' | b'1/1001\n' | b'Four letters picked without replacement from {g: 10, j: 4}. What is prob of sequence jjjj?\n' | b'1/1001\n' | deepmind/math_dataset |
b'Simplify (z/z**0)**(-35)*((z/z**(-9))/z)/(z/z**(-4)) assuming z is positive.\n' | b'z**(-31)\n' | b'Simplify (z/z**0)**(-35)*((z/z**(-9))/z)/(z/z**(-4)) assuming z is positive.\n' | b'z**(-31)\n' | deepmind/math_dataset |
b'Let n(g) be the third derivative of 0*g + 1/24*g**4 - 1/2*g**3 - 152*g**2 + 0. Calculate n(0).\n' | b'-3\n' | b'Let n(g) be the third derivative of 0*g + 1/24*g**4 - 1/2*g**3 - 152*g**2 + 0. Calculate n(0).\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 s when four letters picked without replacement from {s: 5}.\n' | b'1\n' | b'Calculate prob of picking 4 s when four letters picked without replacement from {s: 5}.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -1108 = -33*l - 580. Let w(i) = -5*i + 72. Determine w(l).\n' | b'-8\n' | b'Suppose -1108 = -33*l - 580. Let w(i) = -5*i + 72. Determine w(l).\n' | b'-8\n' | deepmind/math_dataset |
b'Let o(p) = 11*p + 1. Let f(a) = 57*a - 27. Let g(x) = -2*f(x) + 10*o(x). What is g(14)?\n' | b'8\n' | b'Let o(p) = 11*p + 1. Let f(a) = 57*a - 27. Let g(x) = -2*f(x) + 10*o(x). What is g(14)?\n' | b'8\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 w, 1 c, and 1 a when three letters picked without replacement from {w: 2, t: 3, m: 3, e: 3, a: 1, c: 3}.\n' | b'6/455\n' | b'Calculate prob of picking 1 w, 1 c, and 1 a when three letters picked without replacement from {w: 2, t: 3, m: 3, e: 3, a: 1, c: 3}.\n' | b'6/455\n' | deepmind/math_dataset |
b'What is prob of picking 1 z and 1 n when two letters picked without replacement from nvvvvvnnzvvnvaa?\n' | b'4/105\n' | b'What is prob of picking 1 z and 1 n when two letters picked without replacement from nvvvvvnnzvvnvaa?\n' | b'4/105\n' | deepmind/math_dataset |
b'Let t(a) = a**3 + 6*a**2 + a + 11. Let m be t(-6). Find the second derivative of 14*z**5 - z - 16*z**5 + 7*z**m wrt z.\n' | b'100*z**3\n' | b'Let t(a) = a**3 + 6*a**2 + a + 11. Let m be t(-6). Find the second derivative of 14*z**5 - z - 16*z**5 + 7*z**m wrt z.\n' | b'100*z**3\n' | deepmind/math_dataset |
b'Let o(m) = -2*m - 8. Suppose b + 4*b - 230 = 5*g, 92 = 2*b - g. Suppose -5*x - 11 = -b. Determine o(x).\n' | b'-22\n' | b'Let o(m) = -2*m - 8. Suppose b + 4*b - 230 = 5*g, 92 = 2*b - g. Suppose -5*x - 11 = -b. Determine o(x).\n' | b'-22\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ooeooe. What is prob of picking 1 e and 2 o?\n' | b'3/5\n' | b'Three letters picked without replacement from ooeooe. What is prob of picking 1 e and 2 o?\n' | b'3/5\n' | deepmind/math_dataset |
b'What is prob of sequence zelz when four letters picked without replacement from fzeezzfeefllefiez?\n' | b'3/1190\n' | b'What is prob of sequence zelz when four letters picked without replacement from fzeezzfeefllefiez?\n' | b'3/1190\n' | deepmind/math_dataset |
b'Simplify (h**(1/10)/h**(14/5))**(-4/17) assuming h is positive.\n' | b'h**(54/85)\n' | b'Simplify (h**(1/10)/h**(14/5))**(-4/17) assuming h is positive.\n' | b'h**(54/85)\n' | deepmind/math_dataset |
b'Let n(b) be the first derivative of b**2/2 + 3*b + 4. Give n(3).\n' | b'6\n' | b'Let n(b) be the first derivative of b**2/2 + 3*b + 4. Give n(3).\n' | b'6\n' | deepmind/math_dataset |
b'Let i(n) be the third derivative of -n**4/24 - 25*n**3/6 + 3*n**2. Let t be i(-27). Find the second derivative of 2*r**2 + 20*r - 23*r**2 + t*r**2 wrt r.\n' | b'-38\n' | b'Let i(n) be the third derivative of -n**4/24 - 25*n**3/6 + 3*n**2. Let t be i(-27). Find the second derivative of 2*r**2 + 20*r - 23*r**2 + t*r**2 wrt r.\n' | b'-38\n' | deepmind/math_dataset |
b'Simplify (k/(((k*k**(-2/3)*k)/k)/k)*k*k/(k*k*k*k*k**0))**(-1/8)/((k**(1/3)/k*k**(-3/7))/(k/(k*k*k/k**(2/3))*k**(-1/8)*k)) assuming k is positive.\n' | b'k**(19/28)\n' | b'Simplify (k/(((k*k**(-2/3)*k)/k)/k)*k*k/(k*k*k*k*k**0))**(-1/8)/((k**(1/3)/k*k**(-3/7))/(k/(k*k*k/k**(2/3))*k**(-1/8)*k)) assuming k is positive.\n' | b'k**(19/28)\n' | deepmind/math_dataset |
b'Let v(q) be the second derivative of q**8/48 - q**4/4 - 5*q**2/2 - 3*q. Let p(w) be the first derivative of v(w). Find the second derivative of p(g) wrt g.\n' | b'140*g**3\n' | b'Let v(q) be the second derivative of q**8/48 - q**4/4 - 5*q**2/2 - 3*q. Let p(w) be the first derivative of v(w). Find the second derivative of p(g) wrt g.\n' | b'140*g**3\n' | deepmind/math_dataset |
b'Suppose 5*q - 58 = -8. Let i(t) = 3*t - 28. Let p be i(q). Suppose m + 0 = -3, -4*v - p*m = -10. Solve 3*a = 5*j - 16, v*j - 3*a + 2 = 13 for j.\n' | b'5\n' | b'Suppose 5*q - 58 = -8. Let i(t) = 3*t - 28. Let p be i(q). Suppose m + 0 = -3, -4*v - p*m = -10. Solve 3*a = 5*j - 16, v*j - 3*a + 2 = 13 for j.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (((k**0*k*k)/k*k)**(-24)/(k**(-1/2))**(-6))/(k**(1/6)*k*k**(1/12)*k)**(2/69) assuming k is positive.\n' | b'k**(-2349/46)\n' | b'Simplify (((k**0*k*k)/k*k)**(-24)/(k**(-1/2))**(-6))/(k**(1/6)*k*k**(1/12)*k)**(2/69) assuming k is positive.\n' | b'k**(-2349/46)\n' | deepmind/math_dataset |
b'Let x = -63 + 70. Suppose -x*w + 8 = -3*w. Differentiate 18*z**w - 9 + 5 + 23 wrt z.\n' | b'36*z\n' | b'Let x = -63 + 70. Suppose -x*w + 8 = -3*w. Differentiate 18*z**w - 9 + 5 + 23 wrt z.\n' | b'36*z\n' | deepmind/math_dataset |
b'Let a(q) = 3*q**2 + 7*q - 2. Let r be a(-6). Suppose 109*v + 3434 - 1596 = -4920. Let b = v + r. Solve 2*j = -b*j + h + 12, 3*h + 14 = j for j.\n' | b'2\n' | b'Let a(q) = 3*q**2 + 7*q - 2. Let r be a(-6). Suppose 109*v + 3434 - 1596 = -4920. Let b = v + r. Solve 2*j = -b*j + h + 12, 3*h + 14 = j for j.\n' | b'2\n' | deepmind/math_dataset |
b'Differentiate -74*m - 11 - 3*m - 58 with respect to m.\n' | b'-77\n' | b'Differentiate -74*m - 11 - 3*m - 58 with respect to m.\n' | b'-77\n' | deepmind/math_dataset |
b'What is prob of sequence bfib when four letters picked without replacement from ffozzbbfrozifbrfrbzr?\n' | b'1/1938\n' | b'What is prob of sequence bfib when four letters picked without replacement from ffozzbbfrozifbrfrbzr?\n' | b'1/1938\n' | deepmind/math_dataset |
b'Four letters picked without replacement from cmcrcrrrcmrmrrrmc. What is prob of sequence rrrm?\n' | b'2/85\n' | b'Four letters picked without replacement from cmcrcrrrcmrmrrrmc. What is prob of sequence rrrm?\n' | b'2/85\n' | deepmind/math_dataset |
b'What is the second derivative of 151 - 151485*j**4 + j - 6*j + 151491*j**4 + 121*j**3 wrt j?\n' | b'72*j**2 + 726*j\n' | b'What is the second derivative of 151 - 151485*j**4 + j - 6*j + 151491*j**4 + 121*j**3 wrt j?\n' | b'72*j**2 + 726*j\n' | deepmind/math_dataset |
b'Let f(r) be the first derivative of 2*r**6/45 + 4*r**3 - 16. Let l(d) be the third derivative of f(d). Calculate l(-1).\n' | b'16\n' | b'Let f(r) be the first derivative of 2*r**6/45 + 4*r**3 - 16. Let l(d) be the third derivative of f(d). Calculate l(-1).\n' | b'16\n' | deepmind/math_dataset |
b'Three letters picked without replacement from wwewwe. What is prob of sequence www?\n' | b'1/5\n' | b'Three letters picked without replacement from wwewwe. What is prob of sequence www?\n' | b'1/5\n' | deepmind/math_dataset |
b'Let d(q) = 15*q**3 - 5*q**2 - 5*q - 2. Let a(j) = -22*j**3 + 7*j**2 + 7*j + 3. Let s(f) = -5*a(f) - 7*d(f). Find the first derivative of s(o) wrt o.\n' | b'15*o**2\n' | b'Let d(q) = 15*q**3 - 5*q**2 - 5*q - 2. Let a(j) = -22*j**3 + 7*j**2 + 7*j + 3. Let s(f) = -5*a(f) - 7*d(f). Find the first derivative of s(o) wrt o.\n' | b'15*o**2\n' | deepmind/math_dataset |
b'Let t(h) be the first derivative of h**3/3 - 3*h**2 + 6*h - 11. Let s = 141 + -136. Give t(s).\n' | b'1\n' | b'Let t(h) be the first derivative of h**3/3 - 3*h**2 + 6*h - 11. Let s = 141 + -136. Give t(s).\n' | b'1\n' | deepmind/math_dataset |
b'Let m(l) = l**4 - l**3 + l**2 - l. Let h(r) = -22*r**4 + 3*r**3 + 3*r**2 + 3*r. Let i(x) = 5*h(x) + 15*m(x). Find the third derivative of i(w) wrt w.\n' | b'-2280*w\n' | b'Let m(l) = l**4 - l**3 + l**2 - l. Let h(r) = -22*r**4 + 3*r**3 + 3*r**2 + 3*r. Let i(x) = 5*h(x) + 15*m(x). Find the third derivative of i(w) wrt w.\n' | b'-2280*w\n' | deepmind/math_dataset |
b'Let m(n) be the first derivative of n**7/280 + n**6/120 + n**3 - 3. Let g(f) be the third derivative of m(f). Find the third derivative of g(k) wrt k.\n' | b'18\n' | b'Let m(n) be the first derivative of n**7/280 + n**6/120 + n**3 - 3. Let g(f) be the third derivative of m(f). Find the third derivative of g(k) wrt k.\n' | b'18\n' | deepmind/math_dataset |
b'Suppose -167 = -2*b + b. Suppose b = 5*f + 32. Solve -4*k - 5*p + 2*p - f = 0, -2*p - 13 = k for k.\n' | b'-3\n' | b'Suppose -167 = -2*b + b. Suppose b = 5*f + 32. Solve -4*k - 5*p + 2*p - f = 0, -2*p - 13 = k for k.\n' | b'-3\n' | deepmind/math_dataset |
b'Let m(h) be the second derivative of -43/2*h**2 + 0 + 1/3*h**4 + 7/6*h**3 + 83*h. Differentiate m(w) wrt w.\n' | b'8*w + 7\n' | b'Let m(h) be the second derivative of -43/2*h**2 + 0 + 1/3*h**4 + 7/6*h**3 + 83*h. Differentiate m(w) wrt w.\n' | b'8*w + 7\n' | deepmind/math_dataset |
b'Simplify (((n*n**(-7/5))/n)/n*n)/(n*n*n*n**(16/3)) assuming n is positive.\n' | b'n**(-146/15)\n' | b'Simplify (((n*n**(-7/5))/n)/n*n)/(n*n*n*n**(16/3)) assuming n is positive.\n' | b'n**(-146/15)\n' | deepmind/math_dataset |
b'Let p = -77 + 82. Solve c = 4*a + 2*c - 15, -p*a + 2*c + 35 = 0 for a.\n' | b'5\n' | b'Let p = -77 + 82. Solve c = 4*a + 2*c - 15, -p*a + 2*c + 35 = 0 for a.\n' | b'5\n' | deepmind/math_dataset |
b'Let t be (180 - (2 + -3))/(3/(-6)). Let l = t + 372. Solve -5 + 15 = 5*f - 5*u, -3*u = f - l for f.\n' | b'4\n' | b'Let t be (180 - (2 + -3))/(3/(-6)). Let l = t + 372. Solve -5 + 15 = 5*f - 5*u, -3*u = f - l for f.\n' | b'4\n' | deepmind/math_dataset |
b'Let o(g) = g**3 - 4*g**2 - 3*g - 5. Let x be o(6). What is the second derivative of 2 - m**3 - 866*m**2 - x*m - 2 + 2 + 825*m**2 - 15*m wrt m?\n' | b'-6*m - 82\n' | b'Let o(g) = g**3 - 4*g**2 - 3*g - 5. Let x be o(6). What is the second derivative of 2 - m**3 - 866*m**2 - x*m - 2 + 2 + 825*m**2 - 15*m wrt m?\n' | b'-6*m - 82\n' | deepmind/math_dataset |
b'What is prob of picking 4 c when four letters picked without replacement from {c: 5}?\n' | b'1\n' | b'What is prob of picking 4 c when four letters picked without replacement from {c: 5}?\n' | b'1\n' | deepmind/math_dataset |
b'Simplify k/(k*k**(2/9))*k**8*k**(-11)/k**10 assuming k is positive.\n' | b'k**(-119/9)\n' | b'Simplify k/(k*k**(2/9))*k**8*k**(-11)/k**10 assuming k is positive.\n' | b'k**(-119/9)\n' | deepmind/math_dataset |
b'Let m(z) be the second derivative of -z**6/40 - z**4/12 - z**2 + z. Let n(l) be the first derivative of m(l). What is the second derivative of n(g) wrt g?\n' | b'-18*g\n' | b'Let m(z) be the second derivative of -z**6/40 - z**4/12 - z**2 + z. Let n(l) be the first derivative of m(l). What is the second derivative of n(g) wrt g?\n' | b'-18*g\n' | deepmind/math_dataset |
b'Let q be (-164 - -159)*22/(-10). Let p(a) = a - 24. Calculate p(q).\n' | b'-13\n' | b'Let q be (-164 - -159)*22/(-10). Let p(a) = a - 24. Calculate p(q).\n' | b'-13\n' | deepmind/math_dataset |
b'Let m be 2/((-20)/(-8) + -3). Let v be 1/(-4) + (-9)/m. Solve 0 = 2*f - v*d, -3*d + 2 = -5*f - 0 for f.\n' | b'-1\n' | b'Let m be 2/((-20)/(-8) + -3). Let v be 1/(-4) + (-9)/m. Solve 0 = 2*f - v*d, -3*d + 2 = -5*f - 0 for f.\n' | b'-1\n' | deepmind/math_dataset |
b'Let s(o) be the third derivative of o**6/30 + o**4/6 + 8*o**3/3 - 7*o**2. Let w(p) be the first derivative of s(p). Differentiate w(k) wrt k.\n' | b'24*k\n' | b'Let s(o) be the third derivative of o**6/30 + o**4/6 + 8*o**3/3 - 7*o**2. Let w(p) be the first derivative of s(p). Differentiate w(k) wrt k.\n' | b'24*k\n' | deepmind/math_dataset |
b'Simplify (y*y*y**(-4)*y*y**3*y)/(y**(-3/4)*y*y**(-5/9)*y) assuming y is positive.\n' | b'y**(83/36)\n' | b'Simplify (y*y*y**(-4)*y*y**3*y)/(y**(-3/4)*y*y**(-5/9)*y) assuming y is positive.\n' | b'y**(83/36)\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 m when three letters picked without replacement from qmq.\n' | b'0\n' | b'Calculate prob of picking 3 m when three letters picked without replacement from qmq.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence gkgz when four letters picked without replacement from lsnkgglggngznzsgzg.\n' | b'7/4080\n' | b'Calculate prob of sequence gkgz when four letters picked without replacement from lsnkgglggngznzsgzg.\n' | b'7/4080\n' | deepmind/math_dataset |
b'Let x(u) be the third derivative of -u**7/35 + 31*u**6/60 + u**5/60 - 29*u**4/12 + 4*u**3/3 - 334*u**2 - 3*u. Find the third derivative of x(m) wrt m.\n' | b'-144*m + 372\n' | b'Let x(u) be the third derivative of -u**7/35 + 31*u**6/60 + u**5/60 - 29*u**4/12 + 4*u**3/3 - 334*u**2 - 3*u. Find the third derivative of x(m) wrt m.\n' | b'-144*m + 372\n' | deepmind/math_dataset |
b'Simplify ((k**(-2/7)/k)**(-18))**25 assuming k is positive.\n' | b'k**(4050/7)\n' | b'Simplify ((k**(-2/7)/k)**(-18))**25 assuming k is positive.\n' | b'k**(4050/7)\n' | deepmind/math_dataset |
b'Let i = -89 - -81. Let p(v) = 20*v + 11. Let d(u) = 7*u + 4. Let c(g) = -17*d(g) + 6*p(g). Let j(n) = 3*n - 5. Let y(z) = i*c(z) + 3*j(z). Give y(4).\n' | b'5\n' | b'Let i = -89 - -81. Let p(v) = 20*v + 11. Let d(u) = 7*u + 4. Let c(g) = -17*d(g) + 6*p(g). Let j(n) = 3*n - 5. Let y(z) = i*c(z) + 3*j(z). Give y(4).\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (j**35*j)/j*j**(-47)*(j/(j/j**36))/(j/((j/(j**(-46)*j))/j)) assuming j is positive.\n' | b'j**68\n' | b'Simplify (j**35*j)/j*j**(-47)*(j/(j/j**36))/(j/((j/(j**(-46)*j))/j)) assuming j is positive.\n' | b'j**68\n' | deepmind/math_dataset |
b'Find the third derivative of -184*q**6 + 195*q**6 - 10*q**2 - 17*q**2 wrt q.\n' | b'1320*q**3\n' | b'Find the third derivative of -184*q**6 + 195*q**6 - 10*q**2 - 17*q**2 wrt q.\n' | b'1320*q**3\n' | deepmind/math_dataset |
b'Let k(a) = -a - 7*a + 3*a + 6*a. Determine k(-6).\n' | b'-6\n' | b'Let k(a) = -a - 7*a + 3*a + 6*a. Determine k(-6).\n' | b'-6\n' | deepmind/math_dataset |
b'What is the third derivative of -239*h**2 + 19147877*h - 4076*h**3 + 1 - 19147877*h wrt h?\n' | b'-24456\n' | b'What is the third derivative of -239*h**2 + 19147877*h - 4076*h**3 + 1 - 19147877*h wrt h?\n' | b'-24456\n' | deepmind/math_dataset |
b'Simplify (b**(-3/5)*b)**34/((b*(b/((b*b/b**(-1/3))/b))/b)/(b*b**(-6/19)*b*b)) assuming b is positive.\n' | b'b**(4736/285)\n' | b'Simplify (b**(-3/5)*b)**34/((b*(b/((b*b/b**(-1/3))/b))/b)/(b*b**(-6/19)*b*b)) assuming b is positive.\n' | b'b**(4736/285)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 5, c: 5}. What is prob of sequence ck?\n' | b'5/18\n' | b'Two letters picked without replacement from {k: 5, c: 5}. What is prob of sequence ck?\n' | b'5/18\n' | deepmind/math_dataset |
b'Let s(t) be the second derivative of t**5/15 + t**3/6 + 3*t**2/2 - 3*t. Let d(m) be the first derivative of s(m). Find the first derivative of d(f) wrt f.\n' | b'8*f\n' | b'Let s(t) be the second derivative of t**5/15 + t**3/6 + 3*t**2/2 - 3*t. Let d(m) be the first derivative of s(m). Find the first derivative of d(f) wrt f.\n' | b'8*f\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 o and 2 w when four letters picked without replacement from {w: 4, o: 2}.\n' | b'2/5\n' | b'Calculate prob of picking 2 o and 2 w when four letters picked without replacement from {w: 4, o: 2}.\n' | b'2/5\n' | deepmind/math_dataset |
b'Let q(o) = 81*o + 1641. Let z be q(-20). Let n(v) = v**2 - 9*v - 242. Determine n(z).\n' | b'10\n' | b'Let q(o) = 81*o + 1641. Let z be q(-20). Let n(v) = v**2 - 9*v - 242. Determine n(z).\n' | b'10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 1, q: 12}. What is prob of sequence gq?\n' | b'1/13\n' | b'Two letters picked without replacement from {g: 1, q: 12}. What is prob of sequence gq?\n' | b'1/13\n' | deepmind/math_dataset |
b'Four letters picked without replacement from qqqeqeeeqq. Give prob of sequence qeqe.\n' | b'1/14\n' | b'Four letters picked without replacement from qqqeqeeeqq. Give prob of sequence qeqe.\n' | b'1/14\n' | deepmind/math_dataset |
b'Let j(u) be the first derivative of -u**6/15 + 3*u**2/2 - 3*u + 2. Let v(y) be the first derivative of j(y). What is the first derivative of v(n) wrt n?\n' | b'-8*n**3\n' | b'Let j(u) be the first derivative of -u**6/15 + 3*u**2/2 - 3*u + 2. Let v(y) be the first derivative of j(y). What is the first derivative of v(n) wrt n?\n' | b'-8*n**3\n' | deepmind/math_dataset |
b'Let d(u) = -u**2 + 3*u + 9. Suppose 4*p - 2 = -3*r + 9, 4*r + 7 = -p. What is d(p)?\n' | b'-1\n' | b'Let d(u) = -u**2 + 3*u + 9. Suppose 4*p - 2 = -3*r + 9, 4*r + 7 = -p. What is d(p)?\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of sequence nen when three letters picked without replacement from {s: 2, e: 4, o: 2, n: 3, t: 6}?\n' | b'1/170\n' | b'What is prob of sequence nen when three letters picked without replacement from {s: 2, e: 4, o: 2, n: 3, t: 6}?\n' | b'1/170\n' | deepmind/math_dataset |
b'What is prob of picking 1 y, 1 o, and 2 f when four letters picked without replacement from qyhqmffmo?\n' | b'1/126\n' | b'What is prob of picking 1 y, 1 o, and 2 f when four letters picked without replacement from qyhqmffmo?\n' | b'1/126\n' | deepmind/math_dataset |
b'Four letters picked without replacement from dndll. Give prob of sequence nldl.\n' | b'1/30\n' | b'Four letters picked without replacement from dndll. Give prob of sequence nldl.\n' | b'1/30\n' | deepmind/math_dataset |
b'Let t(i) be the second derivative of i**6/15 - 699*i**5/5 - 2482*i**3/3 - 2*i - 788. Find the second derivative of t(h) wrt h.\n' | b'24*h**2 - 16776*h\n' | b'Let t(i) be the second derivative of i**6/15 - 699*i**5/5 - 2482*i**3/3 - 2*i - 788. Find the second derivative of t(h) wrt h.\n' | b'24*h**2 - 16776*h\n' | deepmind/math_dataset |
b'Let w = 94 - 53. Suppose 4*a - w = -5*v, 5*a = v - 3*v + 30. Solve 2*t - 5*m - 13 = t, -5*t = -v*m - 5 for t.\n' | b'-2\n' | b'Let w = 94 - 53. Suppose 4*a - w = -5*v, 5*a = v - 3*v + 30. Solve 2*t - 5*m - 13 = t, -5*t = -v*m - 5 for t.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 1 j and 2 a when three letters picked without replacement from {a: 3, j: 3}?\n' | b'9/20\n' | b'What is prob of picking 1 j and 2 a when three letters picked without replacement from {a: 3, j: 3}?\n' | b'9/20\n' | deepmind/math_dataset |
b'What is prob of sequence cbbu when four letters picked without replacement from {c: 7, u: 5, b: 8}?\n' | b'49/2907\n' | b'What is prob of sequence cbbu when four letters picked without replacement from {c: 7, u: 5, b: 8}?\n' | b'49/2907\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 s when three letters picked without replacement from ustttsttstbuutstustt.\n' | b'1/114\n' | b'Calculate prob of picking 3 s when three letters picked without replacement from ustttsttstbuutstustt.\n' | b'1/114\n' | deepmind/math_dataset |
b'Let n(b) = b**3 - 5*b**2 - 3*b + 2. Let z(m) = 6*m**2 - 5*m - 7. Let h be z(-1). Calculate n(h).\n' | b'-26\n' | b'Let n(b) = b**3 - 5*b**2 - 3*b + 2. Let z(m) = 6*m**2 - 5*m - 7. Let h be z(-1). Calculate n(h).\n' | b'-26\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 1, w: 3, s: 2, b: 3, z: 3, y: 2}. Give prob of sequence yw.\n' | b'3/91\n' | b'Two letters picked without replacement from {f: 1, w: 3, s: 2, b: 3, z: 3, y: 2}. Give prob of sequence yw.\n' | b'3/91\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 7, v: 12}. Give prob of sequence vvyv.\n' | b'385/3876\n' | b'Four letters picked without replacement from {y: 7, v: 12}. Give prob of sequence vvyv.\n' | b'385/3876\n' | deepmind/math_dataset |
b'Two letters picked without replacement from znqzzxznnq. What is prob of sequence xq?\n' | b'1/45\n' | b'Two letters picked without replacement from znqzzxznnq. What is prob of sequence xq?\n' | b'1/45\n' | deepmind/math_dataset |
b'Let o(s) be the first derivative of 3*s**5/5 - 5*s**3/3 - 8*s + 20. Let u(m) be the first derivative of o(m). What is the second derivative of u(f) wrt f?\n' | b'72*f\n' | b'Let o(s) be the first derivative of 3*s**5/5 - 5*s**3/3 - 8*s + 20. Let u(m) be the first derivative of o(m). What is the second derivative of u(f) wrt f?\n' | b'72*f\n' | deepmind/math_dataset |
b'Suppose -147 + 23 = -4*d - v, 5*d - 4*v - 134 = 0. Solve 5*t - 10 = -d, 0 = 2*n - t - 4 for n.\n' | b'0\n' | b'Suppose -147 + 23 = -4*d - v, 5*d - 4*v - 134 = 0. Solve 5*t - 10 = -d, 0 = 2*n - t - 4 for n.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((k**(11/5)/k*k)/k**(-1/30))**(-2/71) assuming k is positive.\n' | b'k**(-67/1065)\n' | b'Simplify ((k**(11/5)/k*k)/k**(-1/30))**(-2/71) assuming k is positive.\n' | b'k**(-67/1065)\n' | deepmind/math_dataset |
b'Let c(a) = -328*a**4 - 4*a**3 + 4*a**2 - 10*a - 3233. Let x(f) = 3*f**4 - f**3 + f**2 - 2*f. Let i(w) = -c(w) + 4*x(w). Find the first derivative of i(s) wrt s.\n' | b'1360*s**3 + 2\n' | b'Let c(a) = -328*a**4 - 4*a**3 + 4*a**2 - 10*a - 3233. Let x(f) = 3*f**4 - f**3 + f**2 - 2*f. Let i(w) = -c(w) + 4*x(w). Find the first derivative of i(s) wrt s.\n' | b'1360*s**3 + 2\n' | deepmind/math_dataset |
b'Suppose 7*v - 7 - 14 = 0. Solve -v*n = p - 6 - 2, -12 = -4*n - 2*p for n.\n' | b'2\n' | b'Suppose 7*v - 7 - 14 = 0. Solve -v*n = p - 6 - 2, -12 = -4*n - 2*p for n.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of sequence ddi when three letters picked without replacement from iiiiiiiidiiiiiidiidi.\n' | b'17/1140\n' | b'Calculate prob of sequence ddi when three letters picked without replacement from iiiiiiiidiiiiiidiidi.\n' | b'17/1140\n' | deepmind/math_dataset |
b'Let r(g) = g**3 - g**2 - 6*g + 4. Let c be r(5). Let j = c + -42. Solve 0*k + 24 = -2*k + 4*a, 0 = -5*k + 3*a - j for k.\n' | b'-4\n' | b'Let r(g) = g**3 - g**2 - 6*g + 4. Let c be r(5). Let j = c + -42. Solve 0*k + 24 = -2*k + 4*a, 0 = -5*k + 3*a - j for k.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((r**(1/3)/r)/((r*r*r**3)/r))**(2/5)/(r/(r*r**(-2/9))*r**(-6))**(-2/75) assuming r is positive.\n' | b'r**(-1364/675)\n' | b'Simplify ((r**(1/3)/r)/((r*r*r**3)/r))**(2/5)/(r/(r*r**(-2/9))*r**(-6))**(-2/75) assuming r is positive.\n' | b'r**(-1364/675)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 l when two letters picked without replacement from {l: 7, w: 4, v: 2}.\n' | b'7/26\n' | b'Calculate prob of picking 2 l when two letters picked without replacement from {l: 7, w: 4, v: 2}.\n' | b'7/26\n' | deepmind/math_dataset |
b'Suppose 0 = -9*w + 4*w. Solve -3*t = -5*g - 25, w = -g + 4*t - 2*t - 12 for g.\n' | b'-2\n' | b'Suppose 0 = -9*w + 4*w. Solve -3*t = -5*g - 25, w = -g + 4*t - 2*t - 12 for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Let l(w) be the first derivative of -17*w**6/30 + w**4/2 + 12*w - 23. Let x(y) be the first derivative of l(y). Find the third derivative of x(u) wrt u.\n' | b'-408*u\n' | b'Let l(w) be the first derivative of -17*w**6/30 + w**4/2 + 12*w - 23. Let x(y) be the first derivative of l(y). Find the third derivative of x(u) wrt u.\n' | b'-408*u\n' | deepmind/math_dataset |
b'Let m(l) = -25*l**4 - l. Let s(k) = 49*k**4 + k. Let u(r) = -11*m(r) - 6*s(r). What is the second derivative of u(h) wrt h?\n' | b'-228*h**2\n' | b'Let m(l) = -25*l**4 - l. Let s(k) = 49*k**4 + k. Let u(r) = -11*m(r) - 6*s(r). What is the second derivative of u(h) wrt h?\n' | b'-228*h**2\n' | deepmind/math_dataset |
b'Suppose -78*j + 32 = 4*i - 82*j, -3*j = -4*i + 40. Let x(n) = n**3 - 15*n**2 - 14*n - 15. Give x(i).\n' | b'17\n' | b'Suppose -78*j + 32 = 4*i - 82*j, -3*j = -4*i + 40. Let x(n) = n**3 - 15*n**2 - 14*n - 15. Give x(i).\n' | b'17\n' | deepmind/math_dataset |
b'Let j(b) be the first derivative of 5*b**2/2 + 44*b + 1479. Determine j(-9).\n' | b'-1\n' | b'Let j(b) be the first derivative of 5*b**2/2 + 44*b + 1479. Determine j(-9).\n' | b'-1\n' | deepmind/math_dataset |
b'Let p(u) be the second derivative of u**6/45 - u**5/30 + 7*u**3/6 + 8*u. Let a(t) be the second derivative of p(t). What is the second derivative of a(z) wrt z?\n' | b'16\n' | b'Let p(u) be the second derivative of u**6/45 - u**5/30 + 7*u**3/6 + 8*u. Let a(t) be the second derivative of p(t). What is the second derivative of a(z) wrt z?\n' | b'16\n' | deepmind/math_dataset |
b'Suppose 0 = -5*r - a + 2*a + 22, 32 = 4*r + 4*a. Solve 0 = -3*c - r*d + 14 + 1, 15 = 3*c + 4*d for c.\n' | b'5\n' | b'Suppose 0 = -5*r - a + 2*a + 22, 32 = 4*r + 4*a. Solve 0 = -3*c - r*d + 14 + 1, 15 = 3*c + 4*d for c.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -y - 2*y + 19 = -5*v, y - 11 = 4*v. Solve 3*u + x = 2, -5*u = -y*x + 8*x for u.\n' | b'1\n' | b'Suppose -y - 2*y + 19 = -5*v, y - 11 = 4*v. Solve 3*u + x = 2, -5*u = -y*x + 8*x for u.\n' | b'1\n' | deepmind/math_dataset |
b'Let i(d) = 2*d - 2. Suppose -5*n - z - 1371 = 0, 3 = 5*z + 8. Let h = n - -276. What is i(h)?\n' | b'2\n' | b'Let i(d) = 2*d - 2. Suppose -5*n - z - 1371 = 0, 3 = 5*z + 8. Let h = n - -276. What is i(h)?\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 1, v: 5, y: 3, j: 3}. Give prob of picking 2 j and 2 y.\n' | b'1/55\n' | b'Four letters picked without replacement from {f: 1, v: 5, y: 3, j: 3}. Give prob of picking 2 j and 2 y.\n' | b'1/55\n' | deepmind/math_dataset |
b'Let d(r) = r**2 + 30*r + 33. Let g be d(-34). Solve 0 = -170*b + g*b - 5*c + 40, 0 = 5*c - 35 for b.\n' | b'5\n' | b'Let d(r) = r**2 + 30*r + 33. Let g be d(-34). Solve 0 = -170*b + g*b - 5*c + 40, 0 = 5*c - 35 for b.\n' | b'5\n' | deepmind/math_dataset |
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