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'Suppose 2*w = 2, -2*s + 6*s + 2*w - 18 = 0. Suppose s*b = -0*b + 8. Let y(k) be the first derivative of 5*k**2/2 - 3*k + 4962. Give y(b).\n' | b'7\n' | b'Suppose 2*w = 2, -2*s + 6*s + 2*w - 18 = 0. Suppose s*b = -0*b + 8. Let y(k) be the first derivative of 5*k**2/2 - 3*k + 4962. Give y(b).\n' | b'7\n' | deepmind/math_dataset |
b'Simplify (h*h/(h*h**(-1/9)/h*h*h)*h**(1/3))**(16/7) assuming h is positive.\n' | b'h**(64/63)\n' | b'Simplify (h*h/(h*h**(-1/9)/h*h*h)*h**(1/3))**(16/7) assuming h is positive.\n' | b'h**(64/63)\n' | deepmind/math_dataset |
b'Simplify (n**(4/7)/((n*n*n**18)/n))/((n*n**(-6/11)*n)/n)**(1/50) assuming n is positive.\n' | b'n**(-14197/770)\n' | b'Simplify (n**(4/7)/((n*n*n**18)/n))/((n*n**(-6/11)*n)/n)**(1/50) assuming n is positive.\n' | b'n**(-14197/770)\n' | deepmind/math_dataset |
b'What is the first derivative of 3*y**4 - 65 - 3*y + 103 - y**4 + 6*y wrt y?\n' | b'8*y**3 + 3\n' | b'What is the first derivative of 3*y**4 - 65 - 3*y + 103 - y**4 + 6*y wrt y?\n' | b'8*y**3 + 3\n' | deepmind/math_dataset |
b'Simplify ((((w*w**(-1/4))/w)/(w**(-3/5)/w))/(((w*(w*w/w**7*w)/w*w)/w)/(w*w**(-7)*w)))/((w**(-1/4)/w)**(1/31))**(-1/5) assuming w is positive.\n' | b'w**(53/155)\n' | b'Simplify ((((w*w**(-1/4))/w)/(w**(-3/5)/w))/(((w*(w*w/w**7*w)/w*w)/w)/(w*w**(-7)*w)))/((w**(-1/4)/w)**(1/31))**(-1/5) assuming w is positive.\n' | b'w**(53/155)\n' | deepmind/math_dataset |
b'Let o be 1*(8 + -2 + -4). Let n(i) = -i**3 + 5*i**o + 2*i**2 - 4*i**2 - 1. Calculate n(1).\n' | b'1\n' | b'Let o be 1*(8 + -2 + -4). Let n(i) = -i**3 + 5*i**o + 2*i**2 - 4*i**2 - 1. Calculate n(1).\n' | b'1\n' | deepmind/math_dataset |
b'Let u(v) = -45*v**3 - 7*v**2 - 8*v + 6. Let p(z) = -135*z**3 - 20*z**2 - 22*z + 17. Let g(t) = 6*p(t) - 17*u(t). Find the third derivative of g(l) wrt l.\n' | b'-270\n' | b'Let u(v) = -45*v**3 - 7*v**2 - 8*v + 6. Let p(z) = -135*z**3 - 20*z**2 - 22*z + 17. Let g(t) = 6*p(t) - 17*u(t). Find the third derivative of g(l) wrt l.\n' | b'-270\n' | deepmind/math_dataset |
b'Simplify (q*q**1)**(-8/9)/(q*q**2*q*q)**(-2/61)*(q*q*q**(-1/2)*q**(2/27))/((q**0/q)/q*q)**29 assuming q is positive.\n' | b'q**(95395/3294)\n' | b'Simplify (q*q**1)**(-8/9)/(q*q**2*q*q)**(-2/61)*(q*q*q**(-1/2)*q**(2/27))/((q**0/q)/q*q)**29 assuming q is positive.\n' | b'q**(95395/3294)\n' | deepmind/math_dataset |
b'Let j(m) be the third derivative of 1/2*m**4 + 0*m + 0*m**3 + 12*m**2 + 0*m**5 + 0 + 1/10*m**6. What is the second derivative of j(z) wrt z?\n' | b'72*z\n' | b'Let j(m) be the third derivative of 1/2*m**4 + 0*m + 0*m**3 + 12*m**2 + 0*m**5 + 0 + 1/10*m**6. What is the second derivative of j(z) wrt z?\n' | b'72*z\n' | deepmind/math_dataset |
b'Let g be (-4)/20*2 + (-44)/(-10). Solve 0 = -9*h + g*h, -3*h = v - 1 for v.\n' | b'1\n' | b'Let g be (-4)/20*2 + (-44)/(-10). Solve 0 = -9*h + g*h, -3*h = v - 1 for v.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from revefvwkrvvev. What is prob of sequence vw?\n' | b'5/156\n' | b'Two letters picked without replacement from revefvwkrvvev. What is prob of sequence vw?\n' | b'5/156\n' | deepmind/math_dataset |
b'Let p(t) be the second derivative of t**3/6 - 9*t**2/2 - 19*t. Give p(4).\n' | b'-5\n' | b'Let p(t) be the second derivative of t**3/6 - 9*t**2/2 - 19*t. Give p(4).\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from gknrrrk. Give prob of picking 1 k, 1 n, and 2 g.\n' | b'0\n' | b'Four letters picked without replacement from gknrrrk. Give prob of picking 1 k, 1 n, and 2 g.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (c**0)**(1/29)/(c**(-3/11)/c**(-1/8)) assuming c is positive.\n' | b'c**(13/88)\n' | b'Simplify (c**0)**(1/29)/(c**(-3/11)/c**(-1/8)) assuming c is positive.\n' | b'c**(13/88)\n' | deepmind/math_dataset |
b'Find the first derivative of 3 + 3 - 8*j**3 + 3*j**2 - 3*j**3 - 26 wrt j.\n' | b'-33*j**2 + 6*j\n' | b'Find the first derivative of 3 + 3 - 8*j**3 + 3*j**2 - 3*j**3 - 26 wrt j.\n' | b'-33*j**2 + 6*j\n' | deepmind/math_dataset |
b'Let s(z) = -z**3 - 4*z**2 + 4*z + 3. Let k be s(-5). Let r be (-12)/k - 26/(-4). Let l(v) = v + 6. Calculate l(r).\n' | b'11\n' | b'Let s(z) = -z**3 - 4*z**2 + 4*z + 3. Let k be s(-5). Let r be (-12)/k - 26/(-4). Let l(v) = v + 6. Calculate l(r).\n' | b'11\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 1, q: 5, b: 1, k: 3}. Give prob of picking 1 n and 2 q.\n' | b'1/12\n' | b'Three letters picked without replacement from {n: 1, q: 5, b: 1, k: 3}. Give prob of picking 1 n and 2 q.\n' | b'1/12\n' | deepmind/math_dataset |
b'Simplify g**(-1/17)/g**(5/7) assuming g is positive.\n' | b'g**(-92/119)\n' | b'Simplify g**(-1/17)/g**(5/7) assuming g is positive.\n' | b'g**(-92/119)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from lllllllllltlllllll. What is prob of sequence lt?\n' | b'1/18\n' | b'Two letters picked without replacement from lllllllllltlllllll. What is prob of sequence lt?\n' | b'1/18\n' | deepmind/math_dataset |
b'Three letters picked without replacement from wdzsq. Give prob of sequence szw.\n' | b'1/60\n' | b'Three letters picked without replacement from wdzsq. Give prob of sequence szw.\n' | b'1/60\n' | deepmind/math_dataset |
b'What is the second derivative of 20*z**3 - 239*z + 8*z**3 + 44*z**3 wrt z?\n' | b'432*z\n' | b'What is the second derivative of 20*z**3 - 239*z + 8*z**3 + 44*z**3 wrt z?\n' | b'432*z\n' | deepmind/math_dataset |
b'Let t(n) = 4*n - 1. Suppose -5*h = 3*f - 37, 3*h = h + 2*f + 2. Suppose -4*m + 25 = 5*w, 2*w - h*m = -7*m + 12. What is t(w)?\n' | b'3\n' | b'Let t(n) = 4*n - 1. Suppose -5*h = 3*f - 37, 3*h = h + 2*f + 2. Suppose -4*m + 25 = 5*w, 2*w - h*m = -7*m + 12. What is t(w)?\n' | b'3\n' | deepmind/math_dataset |
b'Let q(t) = -4*t + 1. Suppose 27 = -5*i - 5*x - 28, -i - 5*x - 11 = 0. Let f(z) = 12*z - 2. Suppose 2*s - s = -4. Let l(w) = i*q(w) + s*f(w). Give l(-2).\n' | b'5\n' | b'Let q(t) = -4*t + 1. Suppose 27 = -5*i - 5*x - 28, -i - 5*x - 11 = 0. Let f(z) = 12*z - 2. Suppose 2*s - s = -4. Let l(w) = i*q(w) + s*f(w). Give l(-2).\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((h**(-1)/h**(1/9))/(h**1*h)**8)/((h/(h/(h**(-2/5)/h)))**50*h**(-2)/h**(-4)) assuming h is positive.\n' | b'h**(458/9)\n' | b'Simplify ((h**(-1)/h**(1/9))/(h**1*h)**8)/((h/(h/(h**(-2/5)/h)))**50*h**(-2)/h**(-4)) assuming h is positive.\n' | b'h**(458/9)\n' | deepmind/math_dataset |
b'Calculate prob of sequence gp when two letters picked without replacement from pgppgpp.\n' | b'5/21\n' | b'Calculate prob of sequence gp when two letters picked without replacement from pgppgpp.\n' | b'5/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 4, j: 3, b: 1, x: 6}. Give prob of picking 1 j and 1 g.\n' | b'12/91\n' | b'Two letters picked without replacement from {g: 4, j: 3, b: 1, x: 6}. Give prob of picking 1 j and 1 g.\n' | b'12/91\n' | deepmind/math_dataset |
b'Let p(w) = -5*w**3 + 43*w**2 + 37*w + 20. Let y(h) = h**3 - 10*h**2 - 9*h - 5. Let o(a) = 2*p(a) + 9*y(a). Let r be o(-2). Let n(v) = -7*v + 1. Determine n(r).\n' | b'-6\n' | b'Let p(w) = -5*w**3 + 43*w**2 + 37*w + 20. Let y(h) = h**3 - 10*h**2 - 9*h - 5. Let o(a) = 2*p(a) + 9*y(a). Let r be o(-2). Let n(v) = -7*v + 1. Determine n(r).\n' | b'-6\n' | deepmind/math_dataset |
b'Let d = 14 - 11. Let z(m) be the first derivative of -1/2*m**2 - 1/2*m**4 - 3 + 0*m**d + 0*m. What is the second derivative of z(i) wrt i?\n' | b'-12*i\n' | b'Let d = 14 - 11. Let z(m) be the first derivative of -1/2*m**2 - 1/2*m**4 - 3 + 0*m**d + 0*m. What is the second derivative of z(i) wrt i?\n' | b'-12*i\n' | deepmind/math_dataset |
b'Suppose -14*c + 2 = -13*c. Solve 1 = -3*t - 5, -c*u - 5*t - 4 = 0 for u.\n' | b'3\n' | b'Suppose -14*c + 2 = -13*c. Solve 1 = -3*t - 5, -c*u - 5*t - 4 = 0 for u.\n' | b'3\n' | deepmind/math_dataset |
b'Let o(t) = -24*t**3 - 22*t**2 - 2. Let s(z) = 47*z**3 + 44*z**2 + z + 5. Let p(u) = -5*o(u) - 2*s(u). Find the third derivative of p(m) wrt m.\n' | b'156\n' | b'Let o(t) = -24*t**3 - 22*t**2 - 2. Let s(z) = 47*z**3 + 44*z**2 + z + 5. Let p(u) = -5*o(u) - 2*s(u). Find the third derivative of p(m) wrt m.\n' | b'156\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ssnbunnnnun. Give prob of picking 2 n.\n' | b'3/11\n' | b'Two letters picked without replacement from ssnbunnnnun. Give prob of picking 2 n.\n' | b'3/11\n' | deepmind/math_dataset |
b'Let s(b) be the first derivative of -1/4*b**4 + 11/2*b**2 + 34*b + 0*b**3 - 50. Differentiate s(j) wrt j.\n' | b'-3*j**2 + 11\n' | b'Let s(b) be the first derivative of -1/4*b**4 + 11/2*b**2 + 34*b + 0*b**3 - 50. Differentiate s(j) wrt j.\n' | b'-3*j**2 + 11\n' | deepmind/math_dataset |
b'Let l(o) be the third derivative of -5*o**8/3 + 175*o**4/8 + 1138*o**2. What is the second derivative of l(y) wrt y?\n' | b'-11200*y**3\n' | b'Let l(o) be the third derivative of -5*o**8/3 + 175*o**4/8 + 1138*o**2. What is the second derivative of l(y) wrt y?\n' | b'-11200*y**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ffffffffififffif. Give prob of sequence iiif.\n' | b'1/560\n' | b'Four letters picked without replacement from ffffffffififffif. Give prob of sequence iiif.\n' | b'1/560\n' | deepmind/math_dataset |
b'Let g(b) = 23*b**2. Suppose -554 + 527 = 27*y. Determine g(y).\n' | b'23\n' | b'Let g(b) = 23*b**2. Suppose -554 + 527 = 27*y. Determine g(y).\n' | b'23\n' | deepmind/math_dataset |
b'Simplify o*o**(-6)/o*o*o*(o/(o**(1/4)/o))/o*(o/((o*o*o*o**(2/5)*o*o)/o))**37*o*o**(1/3)/o*o*o/o**(2/9)*(o**2)**(-47) assuming o is positive.\n' | b'o**(-39769/180)\n' | b'Simplify o*o**(-6)/o*o*o*(o/(o**(1/4)/o))/o*(o/((o*o*o*o**(2/5)*o*o)/o))**37*o*o**(1/3)/o*o*o/o**(2/9)*(o**2)**(-47) assuming o is positive.\n' | b'o**(-39769/180)\n' | deepmind/math_dataset |
b'Let f(o) = o**2 - 2*o + 7. Let n(z) = 7*z**2 - 7*z + 5. Let k be n(1). Calculate f(k).\n' | b'22\n' | b'Let f(o) = o**2 - 2*o + 7. Let n(z) = 7*z**2 - 7*z + 5. Let k be n(1). Calculate f(k).\n' | b'22\n' | deepmind/math_dataset |
b'Simplify k**(-21)*k**(-2/39)*k**25/(k/k**(-2/41)) assuming k is positive.\n' | b'k**(4637/1599)\n' | b'Simplify k**(-21)*k**(-2/39)*k**25/(k/k**(-2/41)) assuming k is positive.\n' | b'k**(4637/1599)\n' | deepmind/math_dataset |
b'What is prob of picking 1 p and 1 c when two letters picked without replacement from {k: 4, c: 2, p: 3}?\n' | b'1/6\n' | b'What is prob of picking 1 p and 1 c when two letters picked without replacement from {k: 4, c: 2, p: 3}?\n' | b'1/6\n' | deepmind/math_dataset |
b'Suppose -2*w + 10 = 2*k, 5*k - 23 = -7*w + 3*w. Let o(p) = 5*p**3 - p**w - p + 2*p**2 + 1 + 2*p. Give o(-1).\n' | b'-4\n' | b'Suppose -2*w + 10 = 2*k, 5*k - 23 = -7*w + 3*w. Let o(p) = 5*p**3 - p**w - p + 2*p**2 + 1 + 2*p. Give o(-1).\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (u**(-39))**(-36)/((u**(-36)*u)/u)**(-33/4) assuming u is positive.\n' | b'u**1107\n' | b'Simplify (u**(-39))**(-36)/((u**(-36)*u)/u)**(-33/4) assuming u is positive.\n' | b'u**1107\n' | deepmind/math_dataset |
b'Let p be (-1)/(-2)*(0 - 0/(-1)). Solve 2*v - f - 3 + 15 = p, -4*f = -3*v - 28 for v.\n' | b'-4\n' | b'Let p be (-1)/(-2)*(0 - 0/(-1)). Solve 2*v - f - 3 + 15 = p, -4*f = -3*v - 28 for v.\n' | b'-4\n' | deepmind/math_dataset |
b'Find the second derivative of y**5 - 2*y**5 + 6*y**4 - 82*y + 0 + 1 + 149*y wrt y.\n' | b'-20*y**3 + 72*y**2\n' | b'Find the second derivative of y**5 - 2*y**5 + 6*y**4 - 82*y + 0 + 1 + 149*y wrt y.\n' | b'-20*y**3 + 72*y**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 3, t: 4, o: 3, y: 3, e: 2, i: 1}. Give prob of sequence ii.\n' | b'0\n' | b'Two letters picked without replacement from {c: 3, t: 4, o: 3, y: 3, e: 2, i: 1}. Give prob of sequence ii.\n' | b'0\n' | deepmind/math_dataset |
b'What is the third derivative of 233591*w**6 - 234407*w**6 - 11*w**5 + 13*w**5 + w**2 + 21 wrt w?\n' | b'-97920*w**3 + 120*w**2\n' | b'What is the third derivative of 233591*w**6 - 234407*w**6 - 11*w**5 + 13*w**5 + w**2 + 21 wrt w?\n' | b'-97920*w**3 + 120*w**2\n' | deepmind/math_dataset |
b'Let w(t) = t**3 + 5*t**2 - 6*t + 3. Let y be w(-6). Let k(c) = 2 + 0*c - 5*c + c**2 + 5*c + 3*c. Let o be k(3). Solve 4*j - u = o, 8*j = 3*j + y*u + 25 for j.\n' | b'5\n' | b'Let w(t) = t**3 + 5*t**2 - 6*t + 3. Let y be w(-6). Let k(c) = 2 + 0*c - 5*c + c**2 + 5*c + 3*c. Let o be k(3). Solve 4*j - u = o, 8*j = 3*j + y*u + 25 for j.\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 2, j: 1, p: 2, z: 1}. What is prob of picking 1 i and 1 j?\n' | b'2/15\n' | b'Two letters picked without replacement from {i: 2, j: 1, p: 2, z: 1}. What is prob of picking 1 i and 1 j?\n' | b'2/15\n' | deepmind/math_dataset |
b'Let c = 20 + -16. Suppose c + 8 = 6*i. Solve 0 = -x + 3*o + 17, -5*o = 6*x - i*x for x.\n' | b'5\n' | b'Let c = 20 + -16. Suppose c + 8 = 6*i. Solve 0 = -x + 3*o + 17, -5*o = 6*x - i*x for x.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -d = 2*d. Solve d = 3*g + 2*g - 15, 4*g - 18 = -2*x for x.\n' | b'3\n' | b'Suppose -d = 2*d. Solve d = 3*g + 2*g - 15, 4*g - 18 = -2*x for x.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from uspupsuzuszspv. Give prob of picking 3 s.\n' | b'1/91\n' | b'Three letters picked without replacement from uspupsuzuszspv. Give prob of picking 3 s.\n' | b'1/91\n' | deepmind/math_dataset |
b'Let r(i) = -2*i**3 + 9*i**2 - 13*i + 6. Suppose 5*s = 5*y - 1301 + 1361, -3*s + y = -22. Determine r(s).\n' | b'-84\n' | b'Let r(i) = -2*i**3 + 9*i**2 - 13*i + 6. Suppose 5*s = 5*y - 1301 + 1361, -3*s + y = -22. Determine r(s).\n' | b'-84\n' | deepmind/math_dataset |
b'Let c(o) = o**3 + 6*o**2 - o - 4. Let i be c(-6). Let v(s) = -6 - 7*s - 3*s**3 + 2*s**3 + s**2 + 0*s**i + 8*s**2. Determine v(8).\n' | b'2\n' | b'Let c(o) = o**3 + 6*o**2 - o - 4. Let i be c(-6). Let v(s) = -6 - 7*s - 3*s**3 + 2*s**3 + s**2 + 0*s**i + 8*s**2. Determine v(8).\n' | b'2\n' | deepmind/math_dataset |
b'Let l(u) = u**3 + 2*u**2 + u + 1. Let j(c) = 47*c**3 - 25*c**2 + 2*c + 2. Let o(z) = j(z) - 2*l(z). Find the third derivative of o(w) wrt w.\n' | b'270\n' | b'Let l(u) = u**3 + 2*u**2 + u + 1. Let j(c) = 47*c**3 - 25*c**2 + 2*c + 2. Let o(z) = j(z) - 2*l(z). Find the third derivative of o(w) wrt w.\n' | b'270\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {s: 15, u: 3}. What is prob of picking 3 u and 1 s?\n' | b'1/204\n' | b'Four letters picked without replacement from {s: 15, u: 3}. What is prob of picking 3 u and 1 s?\n' | b'1/204\n' | deepmind/math_dataset |
b'Let s(r) = -5 + 6 + 8 - 7 + 10*r. Determine s(-3).\n' | b'-28\n' | b'Let s(r) = -5 + 6 + 8 - 7 + 10*r. Determine s(-3).\n' | b'-28\n' | deepmind/math_dataset |
b'Let z(w) = 3535*w - 2127. Let f(p) = 14156*p - 8507. Let s(h) = -6*f(h) + 26*z(h). Differentiate s(q) with respect to q.\n' | b'6974\n' | b'Let z(w) = 3535*w - 2127. Let f(p) = 14156*p - 8507. Let s(h) = -6*f(h) + 26*z(h). Differentiate s(q) with respect to q.\n' | b'6974\n' | deepmind/math_dataset |
b'What is prob of sequence ttt when three letters picked without replacement from tattta?\n' | b'1/5\n' | b'What is prob of sequence ttt when three letters picked without replacement from tattta?\n' | b'1/5\n' | deepmind/math_dataset |
b'Simplify (u*u/(u*u*u**24)*u*u/(u**19/u))**(-2/7) assuming u is positive.\n' | b'u**(80/7)\n' | b'Simplify (u*u/(u*u*u**24)*u*u/(u**19/u))**(-2/7) assuming u is positive.\n' | b'u**(80/7)\n' | deepmind/math_dataset |
b'Simplify (g**22/g)/g**(-2) assuming g is positive.\n' | b'g**23\n' | b'Simplify (g**22/g)/g**(-2) assuming g is positive.\n' | b'g**23\n' | deepmind/math_dataset |
b'Let g(m) be the third derivative of -59*m**6/120 + 119*m**5/30 - 3*m**2 + 65. Find the third derivative of g(t) wrt t.\n' | b'-354\n' | b'Let g(m) be the third derivative of -59*m**6/120 + 119*m**5/30 - 3*m**2 + 65. Find the third derivative of g(t) wrt t.\n' | b'-354\n' | deepmind/math_dataset |
b'Let c(n) = -11*n - 14. Suppose 0 = -8*x + 17*x - 63. Let j = 9 - x. Let f(o) = 43*o + 55. Let y(d) = j*f(d) + 9*c(d). Find the first derivative of y(m) wrt m.\n' | b'-13\n' | b'Let c(n) = -11*n - 14. Suppose 0 = -8*x + 17*x - 63. Let j = 9 - x. Let f(o) = 43*o + 55. Let y(d) = j*f(d) + 9*c(d). Find the first derivative of y(m) wrt m.\n' | b'-13\n' | deepmind/math_dataset |
b'Simplify (d**(-9)/(d/(d*d*d*d**16*d*d)))/((d/(d/(d*d**(-5/2))))/(d**(5/2)/d)) assuming d is positive.\n' | b'd**14\n' | b'Simplify (d**(-9)/(d/(d*d*d*d**16*d*d)))/((d/(d/(d*d**(-5/2))))/(d**(5/2)/d)) assuming d is positive.\n' | b'd**14\n' | deepmind/math_dataset |
b'Let f be 1/(328/82 + 38/(-10)). Let c = 21 - 0. Solve 4*u - 16 = -x + 5*x, -4*x + f*u - c = 0 for x.\n' | b'1\n' | b'Let f be 1/(328/82 + 38/(-10)). Let c = 21 - 0. Solve 4*u - 16 = -x + 5*x, -4*x + f*u - c = 0 for x.\n' | b'1\n' | deepmind/math_dataset |
b'Let m = 0 - 0. Suppose 0 = -3*x - m + 6. Find the first derivative of 2 - 3*y**2 - 1 + y**x wrt y.\n' | b'-4*y\n' | b'Let m = 0 - 0. Suppose 0 = -3*x - m + 6. Find the first derivative of 2 - 3*y**2 - 1 + y**x wrt y.\n' | b'-4*y\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 2, a: 2, c: 1}. Give prob of sequence cy.\n' | b'1/10\n' | b'Two letters picked without replacement from {y: 2, a: 2, c: 1}. Give prob of sequence cy.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let o(f) be the third derivative of -f**7/70 + f**5/30 + 4*f**3 + 83*f**2. Differentiate o(m) with respect to m.\n' | b'-12*m**3 + 4*m\n' | b'Let o(f) be the third derivative of -f**7/70 + f**5/30 + 4*f**3 + 83*f**2. Differentiate o(m) with respect to m.\n' | b'-12*m**3 + 4*m\n' | deepmind/math_dataset |
b'Let k(j) = -j**3 + 6*j**2 - 3*j - 14. Let l be k(5). Let r be (l/(-6))/(-1)*3 - -2. Solve -v = 5*i + 11, v = -r - 1 for i.\n' | b'-2\n' | b'Let k(j) = -j**3 + 6*j**2 - 3*j - 14. Let l be k(5). Let r be (l/(-6))/(-1)*3 - -2. Solve -v = 5*i + 11, v = -r - 1 for i.\n' | b'-2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from fffxfffxxxf. What is prob of picking 4 x?\n' | b'1/330\n' | b'Four letters picked without replacement from fffxfffxxxf. What is prob of picking 4 x?\n' | b'1/330\n' | deepmind/math_dataset |
b'Let l(y) = -2563*y**3 - 2*y**2 + 4*y - 2208. Let p(m) = 3*m**3 + m**2 - 2*m - 1. Let r(z) = -l(z) - 2*p(z). Differentiate r(t) wrt t.\n' | b'7671*t**2\n' | b'Let l(y) = -2563*y**3 - 2*y**2 + 4*y - 2208. Let p(m) = 3*m**3 + m**2 - 2*m - 1. Let r(z) = -l(z) - 2*p(z). Differentiate r(t) wrt t.\n' | b'7671*t**2\n' | deepmind/math_dataset |
b'What is prob of picking 2 z when two letters picked without replacement from cczzmzcmz?\n' | b'1/6\n' | b'What is prob of picking 2 z when two letters picked without replacement from cczzmzcmz?\n' | b'1/6\n' | deepmind/math_dataset |
b'What is prob of sequence wxww when four letters picked without replacement from wxxxwxwxxx?\n' | b'1/120\n' | b'What is prob of sequence wxww when four letters picked without replacement from wxxxwxwxxx?\n' | b'1/120\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 2, f: 3}. What is prob of picking 4 f?\n' | b'0\n' | b'Four letters picked without replacement from {v: 2, f: 3}. What is prob of picking 4 f?\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {c: 1, w: 5, h: 2, d: 4, f: 2}. Give prob of picking 3 d and 1 c.\n' | b'4/1001\n' | b'Four letters picked without replacement from {c: 1, w: 5, h: 2, d: 4, f: 2}. Give prob of picking 3 d and 1 c.\n' | b'4/1001\n' | deepmind/math_dataset |
b'Let g = 350 + -349. Solve -4*h = 8, -6*j = -j + 2*h - g for j.\n' | b'1\n' | b'Let g = 350 + -349. Solve -4*h = 8, -6*j = -j + 2*h - g for j.\n' | b'1\n' | deepmind/math_dataset |
b'Let c(g) = -2*g**2 + 21*g + 4. Let f be c(10). Let u(q) = 7 + 9*q + 4*q - 10 - f*q. Calculate u(10).\n' | b'-13\n' | b'Let c(g) = -2*g**2 + 21*g + 4. Let f be c(10). Let u(q) = 7 + 9*q + 4*q - 10 - f*q. Calculate u(10).\n' | b'-13\n' | deepmind/math_dataset |
b'Suppose 22*t = 17*t + 20. Let u(b) = 6*b - 13. Let m be u(t). Find the second derivative of 12*z - 3*z + m*z - 18*z**3 wrt z.\n' | b'-108*z\n' | b'Suppose 22*t = 17*t + 20. Let u(b) = 6*b - 13. Let m be u(t). Find the second derivative of 12*z - 3*z + m*z - 18*z**3 wrt z.\n' | b'-108*z\n' | deepmind/math_dataset |
b'Calculate prob of sequence exvo when four letters picked without replacement from {t: 7, v: 4, x: 2, o: 4, j: 2, e: 1}.\n' | b'4/14535\n' | b'Calculate prob of sequence exvo when four letters picked without replacement from {t: 7, v: 4, x: 2, o: 4, j: 2, e: 1}.\n' | b'4/14535\n' | deepmind/math_dataset |
b'Let x(t) be the second derivative of t**3 + 9*t + 0 - 9/2*t**2. What is the derivative of x(z) wrt z?\n' | b'6\n' | b'Let x(t) be the second derivative of t**3 + 9*t + 0 - 9/2*t**2. What is the derivative of x(z) wrt z?\n' | b'6\n' | deepmind/math_dataset |
b'Let s(l) = l**3 - 3*l**2 + 3*l - 16. Let t be s(4). What is the first derivative of 25*y - t*y + 18*y**2 - 11*y - 52 wrt y?\n' | b'36*y + 2\n' | b'Let s(l) = l**3 - 3*l**2 + 3*l - 16. Let t be s(4). What is the first derivative of 25*y - t*y + 18*y**2 - 11*y - 52 wrt y?\n' | b'36*y + 2\n' | deepmind/math_dataset |
b'Suppose -3*w + 3*r = -0*r - 24, 2*r - 68 = -5*w. Suppose 21*h - 3 = f + 19*h, -4*h + w = 0. Solve 3*v + t + 9 = 2*v, -f*v - 4*t = 32 for v.\n' | b'-4\n' | b'Suppose -3*w + 3*r = -0*r - 24, 2*r - 68 = -5*w. Suppose 21*h - 3 = f + 19*h, -4*h + w = 0. Solve 3*v + t + 9 = 2*v, -f*v - 4*t = 32 for v.\n' | b'-4\n' | deepmind/math_dataset |
b'Find the second derivative of -19*t - 8 + 6785*t**2 + 39 + 1190*t**2 - 6*t wrt t.\n' | b'15950\n' | b'Find the second derivative of -19*t - 8 + 6785*t**2 + 39 + 1190*t**2 - 6*t wrt t.\n' | b'15950\n' | deepmind/math_dataset |
b'What is prob of picking 2 g, 1 h, and 1 f when four letters picked without replacement from hgfghcg?\n' | b'6/35\n' | b'What is prob of picking 2 g, 1 h, and 1 f when four letters picked without replacement from hgfghcg?\n' | b'6/35\n' | deepmind/math_dataset |
b'What is prob of sequence lw when two letters picked without replacement from lglwllgwwwllgwlwg?\n' | b'21/136\n' | b'What is prob of sequence lw when two letters picked without replacement from lglwllgwwwllgwlwg?\n' | b'21/136\n' | deepmind/math_dataset |
b'What is prob of sequence cw when two letters picked without replacement from ppswpssspsscsgwsgwsw?\n' | b'1/95\n' | b'What is prob of sequence cw when two letters picked without replacement from ppswpssspsscsgwsgwsw?\n' | b'1/95\n' | deepmind/math_dataset |
b'Simplify (q**(-12)*q)/(((((q/(q*q**(8/9)))/q)/q)/q)/q*q) assuming q is positive.\n' | b'q**(-64/9)\n' | b'Simplify (q**(-12)*q)/(((((q/(q*q**(8/9)))/q)/q)/q)/q*q) assuming q is positive.\n' | b'q**(-64/9)\n' | deepmind/math_dataset |
b'Let s(t) = -t**3 - 3*t**2 + 6*t - 4. Let o be s(-5). Let y = -43 + 46. Solve -5*h - 20 = 2*j, 3*j + o = -h - y*h for j.\n' | b'0\n' | b'Let s(t) = -t**3 - 3*t**2 + 6*t - 4. Let o be s(-5). Let y = -43 + 46. Solve -5*h - 20 = 2*j, 3*j + o = -h - y*h for j.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (d/(d/(d**(1/3)*d*d)*d)*d*(d*d/d**(1/2)*d)/d)/(d/d**6*d*d**7/d*d) assuming d is positive.\n' | b'd**(5/6)\n' | b'Simplify (d/(d/(d**(1/3)*d*d)*d)*d*(d*d/d**(1/2)*d)/d)/(d/d**6*d*d**7/d*d) assuming d is positive.\n' | b'd**(5/6)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from dwwcdwwwwgdddwdww. What is prob of sequence cwd?\n' | b'9/680\n' | b'Three letters picked without replacement from dwwcdwwwwgdddwdww. What is prob of sequence cwd?\n' | b'9/680\n' | deepmind/math_dataset |
b'Let j(m) = 2*m**3 + m**2 + m + 6. Suppose g = -5*r - 14, -25*r + 3*g - 78 = -0*r. What is j(r)?\n' | b'-42\n' | b'Let j(m) = 2*m**3 + m**2 + m + 6. Suppose g = -5*r - 14, -25*r + 3*g - 78 = -0*r. What is j(r)?\n' | b'-42\n' | deepmind/math_dataset |
b'What is prob of picking 3 u and 1 z when four letters picked without replacement from {z: 16, u: 4}?\n' | b'64/4845\n' | b'What is prob of picking 3 u and 1 z when four letters picked without replacement from {z: 16, u: 4}?\n' | b'64/4845\n' | deepmind/math_dataset |
b'What is prob of sequence zz when two letters picked without replacement from qhzqaqrqzacqahaa?\n' | b'1/120\n' | b'What is prob of sequence zz when two letters picked without replacement from qhzqaqrqzacqahaa?\n' | b'1/120\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 h when two letters picked without replacement from hhj.\n' | b'1/3\n' | b'Calculate prob of picking 2 h when two letters picked without replacement from hhj.\n' | b'1/3\n' | deepmind/math_dataset |
b'Simplify (((m*m**8*m)/((m/((m*m**(-4)*m*m)/m*m*m))/m))/(((m*m**(-3/2)/m*m)/m)/m*m/(m/(m*m/(m/(m*m**(1/11))))*m)))**(-21/5) assuming m is positive.\n' | b'm**(-5271/110)\n' | b'Simplify (((m*m**8*m)/((m/((m*m**(-4)*m*m)/m*m*m))/m))/(((m*m**(-3/2)/m*m)/m)/m*m/(m/(m*m/(m/(m*m**(1/11))))*m)))**(-21/5) assuming m is positive.\n' | b'm**(-5271/110)\n' | deepmind/math_dataset |
b'Let b be 1/(-3)*-9 - 4. Let t be -1 - (4 + b/1). Let v(z) be the third derivative of -z**6/120 - z**5/20 + z**4/12 - 5*z**3/6 + z**2. Determine v(t).\n' | b'3\n' | b'Let b be 1/(-3)*-9 - 4. Let t be -1 - (4 + b/1). Let v(z) be the third derivative of -z**6/120 - z**5/20 + z**4/12 - 5*z**3/6 + z**2. Determine v(t).\n' | b'3\n' | deepmind/math_dataset |
b'Let m(h) be the first derivative of -143*h**6 - 4*h**3/3 - 151*h - 823. What is the third derivative of m(s) wrt s?\n' | b'-51480*s**2\n' | b'Let m(h) be the first derivative of -143*h**6 - 4*h**3/3 - 151*h - 823. What is the third derivative of m(s) wrt s?\n' | b'-51480*s**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 2, e: 1, d: 3, j: 3, g: 1, h: 1}. Give prob of picking 1 e and 2 d.\n' | b'1/55\n' | b'Three letters picked without replacement from {y: 2, e: 1, d: 3, j: 3, g: 1, h: 1}. Give prob of picking 1 e and 2 d.\n' | b'1/55\n' | deepmind/math_dataset |
b'Simplify d**(1/41)/d**(-3/10) assuming d is positive.\n' | b'd**(133/410)\n' | b'Simplify d**(1/41)/d**(-3/10) assuming d is positive.\n' | b'd**(133/410)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from vvvddvvvvdffvvfvvffc. What is prob of sequence fdcf?\n' | b'1/1938\n' | b'Four letters picked without replacement from vvvddvvvvdffvvfvvffc. What is prob of sequence fdcf?\n' | b'1/1938\n' | deepmind/math_dataset |
b'Let r(z) = 8*z**2 + 2404*z**3 + 20*z + 6*z**2 + 27 - 2403*z**3. What is r(-12)?\n' | b'75\n' | b'Let r(z) = 8*z**2 + 2404*z**3 + 20*z + 6*z**2 + 27 - 2403*z**3. What is r(-12)?\n' | b'75\n' | deepmind/math_dataset |
b'Let p(i) = -2*i**3 - 5*i**2 + 5*i. Let t(c) = -c**3 - 2*c**2 + 2*c. Let y(l) = -3*p(l) + 7*t(l). Let f be y(0). Let g(z) = -z**3 - z + 21. Give g(f).\n' | b'21\n' | b'Let p(i) = -2*i**3 - 5*i**2 + 5*i. Let t(c) = -c**3 - 2*c**2 + 2*c. Let y(l) = -3*p(l) + 7*t(l). Let f be y(0). Let g(z) = -z**3 - z + 21. Give g(f).\n' | b'21\n' | deepmind/math_dataset |
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