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 {i: 12, c: 3}. What is prob of picking 1 i and 1 c?\n' | b'12/35\n' | b'Two letters picked without replacement from {i: 12, c: 3}. What is prob of picking 1 i and 1 c?\n' | b'12/35\n' | deepmind/math_dataset |
b'Let t(h) be the second derivative of -3*h**3/2 - h**2 + 8*h. Let l be t(-1). Let w = 15 - 7. Solve 2*v - w = k, -l*v + 22 = k - 3*v for k.\n' | b'2\n' | b'Let t(h) be the second derivative of -3*h**3/2 - h**2 + 8*h. Let l be t(-1). Let w = 15 - 7. Solve 2*v - w = k, -l*v + 22 = k - 3*v for k.\n' | b'2\n' | deepmind/math_dataset |
b'Let z(r) = 2*r - 1. Suppose 887*h - 884*h = 2*n + 11, -h = 4*n + 57. Give z(n).\n' | b'-27\n' | b'Let z(r) = 2*r - 1. Suppose 887*h - 884*h = 2*n + 11, -h = 4*n + 57. Give z(n).\n' | b'-27\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {d: 2, s: 4, v: 1, p: 4, c: 6}. Give prob of sequence vdp.\n' | b'1/510\n' | b'Three letters picked without replacement from {d: 2, s: 4, v: 1, p: 4, c: 6}. Give prob of sequence vdp.\n' | b'1/510\n' | deepmind/math_dataset |
b'Simplify (u**(-1/8)*u*u)**(6/25)*(u/(u/(u*u/(u*u**(-1/8))))*u)**(-3/11) assuming u is positive.\n' | b'u**(-57/440)\n' | b'Simplify (u**(-1/8)*u*u)**(6/25)*(u/(u/(u*u/(u*u**(-1/8))))*u)**(-3/11) assuming u is positive.\n' | b'u**(-57/440)\n' | deepmind/math_dataset |
b'Let d(z) = -z + 24. Let k(x) = -81*x + 982. Let y be k(12). What is d(y)?\n' | b'14\n' | b'Let d(z) = -z + 24. Let k(x) = -81*x + 982. Let y be k(12). What is d(y)?\n' | b'14\n' | deepmind/math_dataset |
b'Simplify ((((((m/(m/m**1))/m)/m*m)/m)/m)/m**(-3/19))**37 assuming m is positive.\n' | b'm**(-1295/19)\n' | b'Simplify ((((((m/(m/m**1))/m)/m*m)/m)/m)/m**(-3/19))**37 assuming m is positive.\n' | b'm**(-1295/19)\n' | deepmind/math_dataset |
b'What is prob of picking 2 g, 1 r, and 1 v when four letters picked without replacement from krggvgvgvggkrgrvvvv?\n' | b'147/1292\n' | b'What is prob of picking 2 g, 1 r, and 1 v when four letters picked without replacement from krggvgvgvggkrgrvvvv?\n' | b'147/1292\n' | deepmind/math_dataset |
b'What is prob of picking 1 g, 1 h, and 1 j when three letters picked without replacement from nneejgehejgeej?\n' | b'3/182\n' | b'What is prob of picking 1 g, 1 h, and 1 j when three letters picked without replacement from nneejgehejgeej?\n' | b'3/182\n' | deepmind/math_dataset |
b'Simplify ((g**(-2/3)*g/g**17)**(-10/3))**29 assuming g is positive.\n' | b'g**(14500/9)\n' | b'Simplify ((g**(-2/3)*g/g**17)**(-10/3))**29 assuming g is positive.\n' | b'g**(14500/9)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 2, t: 2, o: 1, w: 1, s: 1}. What is prob of sequence ww?\n' | b'0\n' | b'Two letters picked without replacement from {r: 2, t: 2, o: 1, w: 1, s: 1}. What is prob of sequence ww?\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 7*t = 9*t. Solve -5*u - 10 = t, -y + 25 = 2*y - 5*u for y.\n' | b'5\n' | b'Suppose 7*t = 9*t. Solve -5*u - 10 = t, -y + 25 = 2*y - 5*u for y.\n' | b'5\n' | deepmind/math_dataset |
b'Let f(j) = -j**3 + 58*j**2 - 60*j + 173. Let d be f(57). Solve -4*o = -d*m + 16, -o = 3*o + 12 for m.\n' | b'2\n' | b'Let f(j) = -j**3 + 58*j**2 - 60*j + 173. Let d be f(57). Solve -4*o = -d*m + 16, -o = 3*o + 12 for m.\n' | b'2\n' | deepmind/math_dataset |
b'Let m(h) be the first derivative of 1495*h**6/2 + 86*h**3 + 6*h**2 + 4473. What is the third derivative of m(a) wrt a?\n' | b'269100*a**2\n' | b'Let m(h) be the first derivative of 1495*h**6/2 + 86*h**3 + 6*h**2 + 4473. What is the third derivative of m(a) wrt a?\n' | b'269100*a**2\n' | deepmind/math_dataset |
b'Simplify u**0/u*u*u*u*u**(2/11)*(((u/((u/u**(-1/3))/u))/u)/u*u)**(-7)*(u*u/u**(-1/7)*u**(-4)/u)/((u/((u*u**(-5))/u)*u*u)/u**(1/3)) assuming u is positive.\n' | b'u**(-1388/231)\n' | b'Simplify u**0/u*u*u*u*u**(2/11)*(((u/((u/u**(-1/3))/u))/u)/u*u)**(-7)*(u*u/u**(-1/7)*u**(-4)/u)/((u/((u*u**(-5))/u)*u*u)/u**(1/3)) assuming u is positive.\n' | b'u**(-1388/231)\n' | deepmind/math_dataset |
b'What is the derivative of -319*h**2 - 532 + 490*h - 166*h - 166*h - 158*h wrt h?\n' | b'-638*h\n' | b'What is the derivative of -319*h**2 - 532 + 490*h - 166*h - 166*h - 158*h wrt h?\n' | b'-638*h\n' | deepmind/math_dataset |
b'Four letters picked without replacement from cvcmcccmcmmmbmcwvcmc. Give prob of picking 4 b.\n' | b'0\n' | b'Four letters picked without replacement from cvcmcccmcmmmbmcwvcmc. Give prob of picking 4 b.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (s*s/(s*(s**(-2/3)/s)/s)*s)**(2/19)/((s/s**(2/3))/s**(-15/8)) assuming s is positive.\n' | b's**(-261/152)\n' | b'Simplify (s*s/(s*(s**(-2/3)/s)/s)*s)**(2/19)/((s/s**(2/3))/s**(-15/8)) assuming s is positive.\n' | b's**(-261/152)\n' | deepmind/math_dataset |
b'Simplify (((a/a**(-1/12))/a)/a)/a**(-8)*(a/a**(-2/5))/a*a/((a/(a/(a/a**(-1/6))*a))/a)*(a**(2/33)*a*a**(-3/7)*a)**50 assuming a is positive.\n' | b'a**(420043/4620)\n' | b'Simplify (((a/a**(-1/12))/a)/a)/a**(-8)*(a/a**(-2/5))/a*a/((a/(a/(a/a**(-1/6))*a))/a)*(a**(2/33)*a*a**(-3/7)*a)**50 assuming a is positive.\n' | b'a**(420043/4620)\n' | deepmind/math_dataset |
b'Let k(p) = p**3 + 6*p**2 - 4*p. Let t be ((-5)/(-20) - 74/8) + 3. Calculate k(t).\n' | b'24\n' | b'Let k(p) = p**3 + 6*p**2 - 4*p. Let t be ((-5)/(-20) - 74/8) + 3. Calculate k(t).\n' | b'24\n' | deepmind/math_dataset |
b'Let t = -3 + 3. Let j = 3 + t. Suppose -j*o - 4 = 2*l, -3*l + 5*l - o = 12. Solve a - 2*s = 3*a - 10, -l*s = -a - 10 for a.\n' | b'2\n' | b'Let t = -3 + 3. Let j = 3 + t. Suppose -j*o - 4 = 2*l, -3*l + 5*l - o = 12. Solve a - 2*s = 3*a - 10, -l*s = -a - 10 for a.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (((a*a**(-9)*a)/(a*a/(a**(-1/6)*a))*a/(a/((a**(-9)/a*a*a)/a*a))*a**(1/6)*a*a)**(2/27))**(-22) assuming a is positive.\n' | b'a**(616/27)\n' | b'Simplify (((a*a**(-9)*a)/(a*a/(a**(-1/6)*a))*a/(a/((a**(-9)/a*a*a)/a*a))*a**(1/6)*a*a)**(2/27))**(-22) assuming a is positive.\n' | b'a**(616/27)\n' | deepmind/math_dataset |
b'What is prob of picking 1 s and 1 y when two letters picked without replacement from {f: 1, s: 2, y: 3, q: 2, t: 3, x: 1}?\n' | b'1/11\n' | b'What is prob of picking 1 s and 1 y when two letters picked without replacement from {f: 1, s: 2, y: 3, q: 2, t: 3, x: 1}?\n' | b'1/11\n' | deepmind/math_dataset |
b'Calculate prob of sequence ip when two letters picked without replacement from {v: 3, p: 1, i: 1, q: 2, g: 3, f: 1}.\n' | b'1/110\n' | b'Calculate prob of sequence ip when two letters picked without replacement from {v: 3, p: 1, i: 1, q: 2, g: 3, f: 1}.\n' | b'1/110\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 y and 1 h when two letters picked without replacement from {z: 4, h: 7, y: 3}.\n' | b'3/13\n' | b'Calculate prob of picking 1 y and 1 h when two letters picked without replacement from {z: 4, h: 7, y: 3}.\n' | b'3/13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ttnt. Give prob of picking 2 t.\n' | b'1/2\n' | b'Two letters picked without replacement from ttnt. Give prob of picking 2 t.\n' | b'1/2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from vvmmvmm. What is prob of sequence mvm?\n' | b'6/35\n' | b'Three letters picked without replacement from vvmmvmm. What is prob of sequence mvm?\n' | b'6/35\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {d: 2, t: 9, p: 1, z: 1, s: 4}. What is prob of sequence tsps?\n' | b'9/4760\n' | b'Four letters picked without replacement from {d: 2, t: 9, p: 1, z: 1, s: 4}. What is prob of sequence tsps?\n' | b'9/4760\n' | deepmind/math_dataset |
b'Suppose -11*r = -8*r - 6. Suppose -5*c - 5 = -5*b, -3*b + r*c + 2*c = 0. Solve 2*i - 8 = -2*l, 0*l = b*i - 2*l + 8 for i.\n' | b'0\n' | b'Suppose -11*r = -8*r - 6. Suppose -5*c - 5 = -5*b, -3*b + r*c + 2*c = 0. Solve 2*i - 8 = -2*l, 0*l = b*i - 2*l + 8 for i.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from scccoosssocsooocoss. What is prob of sequence ss?\n' | b'7/57\n' | b'Two letters picked without replacement from scccoosssocsooocoss. What is prob of sequence ss?\n' | b'7/57\n' | deepmind/math_dataset |
b'Let v(b) = 21*b + 1138. Let g be v(-54). Solve h - g*y = 9, 0 = -3*y + 14 - 17 for h.\n' | b'5\n' | b'Let v(b) = 21*b + 1138. Let g be v(-54). Solve h - g*y = 9, 0 = -3*y + 14 - 17 for h.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of sequence vv when two letters picked without replacement from vvvvvv?\n' | b'1\n' | b'What is prob of sequence vv when two letters picked without replacement from vvvvvv?\n' | b'1\n' | deepmind/math_dataset |
b'Let p(r) be the third derivative of -r**4/12 + r**3/3 + 37*r**2. Let i be p(-4). Suppose -9*l + i*l = 4. Solve l*j = 5*q + 35, -2*q = 2*q + j + 7 for q.\n' | b'-3\n' | b'Let p(r) be the third derivative of -r**4/12 + r**3/3 + 37*r**2. Let i be p(-4). Suppose -9*l + i*l = 4. Solve l*j = 5*q + 35, -2*q = 2*q + j + 7 for q.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (k**(-7)*k**1)**(3/4)*(k**2/k**(-2/57))**27 assuming k is positive.\n' | b'k**(1917/38)\n' | b'Simplify (k**(-7)*k**1)**(3/4)*(k**2/k**(-2/57))**27 assuming k is positive.\n' | b'k**(1917/38)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {j: 4, k: 6}. Give prob of sequence kkkj.\n' | b'2/21\n' | b'Four letters picked without replacement from {j: 4, k: 6}. Give prob of sequence kkkj.\n' | b'2/21\n' | deepmind/math_dataset |
b'What is prob of picking 1 g and 2 q when three letters picked without replacement from {k: 5, g: 4, q: 2}?\n' | b'4/165\n' | b'What is prob of picking 1 g and 2 q when three letters picked without replacement from {k: 5, g: 4, q: 2}?\n' | b'4/165\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hhkkkhhhkhhhkhkkkkhh. What is prob of picking 2 h and 2 k?\n' | b'132/323\n' | b'Four letters picked without replacement from hhkkkhhhkhhhkhkkkkhh. What is prob of picking 2 h and 2 k?\n' | b'132/323\n' | deepmind/math_dataset |
b'What is the second derivative of -p**2 + 462*p + 2*p**3 - 15*p**2 - 2 - 2*p**2 - 52*p**2 - 18*p**2 wrt p?\n' | b'12*p - 176\n' | b'What is the second derivative of -p**2 + 462*p + 2*p**3 - 15*p**2 - 2 - 2*p**2 - 52*p**2 - 18*p**2 wrt p?\n' | b'12*p - 176\n' | deepmind/math_dataset |
b'What is prob of picking 2 l when two letters picked without replacement from {l: 10}?\n' | b'1\n' | b'What is prob of picking 2 l when two letters picked without replacement from {l: 10}?\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 b and 2 r when four letters picked without replacement from {r: 2, b: 18}.\n' | b'3/95\n' | b'Calculate prob of picking 2 b and 2 r when four letters picked without replacement from {r: 2, b: 18}.\n' | b'3/95\n' | deepmind/math_dataset |
b'Simplify (p**(-1))**(2/19)*(p**(-2/5))**(-8/3) assuming p is positive.\n' | b'p**(274/285)\n' | b'Simplify (p**(-1))**(2/19)*(p**(-2/5))**(-8/3) assuming p is positive.\n' | b'p**(274/285)\n' | deepmind/math_dataset |
b'Let n = -27127 + 27127. Let l(g) be the first derivative of 0*g**2 + n*g + 7*g**3 - 43/4*g**4 - 17. Find the third derivative of l(r) wrt r.\n' | b'-258\n' | b'Let n = -27127 + 27127. Let l(g) be the first derivative of 0*g**2 + n*g + 7*g**3 - 43/4*g**4 - 17. Find the third derivative of l(r) wrt r.\n' | b'-258\n' | deepmind/math_dataset |
b'Calculate prob of sequence qqwb when four letters picked without replacement from llllwqqqbbblll.\n' | b'3/4004\n' | b'Calculate prob of sequence qqwb when four letters picked without replacement from llllwqqqbbblll.\n' | b'3/4004\n' | deepmind/math_dataset |
b'Let q be 4/6 - (-1)/3. Let x(h) = 3*h + 11 - 13 - 3 + h**2 + 0 + 1. Let d be x(q). Solve -l = 2*j - 7, 5*j - 20 = -5*l - d*j for l.\n' | b'1\n' | b'Let q be 4/6 - (-1)/3. Let x(h) = 3*h + 11 - 13 - 3 + h**2 + 0 + 1. Let d be x(q). Solve -l = 2*j - 7, 5*j - 20 = -5*l - d*j for l.\n' | b'1\n' | deepmind/math_dataset |
b'Let a(n) be the second derivative of -5*n**7/42 + 3*n**4/4 - 3*n. What is the third derivative of a(o) wrt o?\n' | b'-300*o**2\n' | b'Let a(n) be the second derivative of -5*n**7/42 + 3*n**4/4 - 3*n. What is the third derivative of a(o) wrt o?\n' | b'-300*o**2\n' | deepmind/math_dataset |
b'Let t(x) = -2889*x - 11600*x**2 - 2 + 2892*x + 11608*x**2. Calculate t(-1).\n' | b'3\n' | b'Let t(x) = -2889*x - 11600*x**2 - 2 + 2892*x + 11608*x**2. Calculate t(-1).\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (((j**(-10)/j)/j)/j**(-5))**31 assuming j is positive.\n' | b'j**(-217)\n' | b'Simplify (((j**(-10)/j)/j)/j**(-5))**31 assuming j is positive.\n' | b'j**(-217)\n' | deepmind/math_dataset |
b'What is prob of picking 2 w and 2 a when four letters picked without replacement from akkakawakkwkkaa?\n' | b'1/91\n' | b'What is prob of picking 2 w and 2 a when four letters picked without replacement from akkakawakkwkkaa?\n' | b'1/91\n' | deepmind/math_dataset |
b'Let c = -183 - -187. Solve -f = f + 5*j + 29, 3*f + c*j + 26 = 0 for f.\n' | b'-2\n' | b'Let c = -183 - -187. Solve -f = f + 5*j + 29, 3*f + c*j + 26 = 0 for f.\n' | b'-2\n' | deepmind/math_dataset |
b'Let l(s) be the first derivative of -9785*s**3/3 - 8786*s + 15769. Find the first derivative of l(z) wrt z.\n' | b'-19570*z\n' | b'Let l(s) be the first derivative of -9785*s**3/3 - 8786*s + 15769. Find the first derivative of l(z) wrt z.\n' | b'-19570*z\n' | deepmind/math_dataset |
b'Let q(u) = -u**2 - u + 1. Let p be q(0). Suppose 13 - p = 4*x. Suppose 5*a - 50 = x*a. Solve -5*r = -3*g - 4 + a, -2*r - 6 = 0 for g.\n' | b'2\n' | b'Let q(u) = -u**2 - u + 1. Let p be q(0). Suppose 13 - p = 4*x. Suppose 5*a - 50 = x*a. Solve -5*r = -3*g - 4 + a, -2*r - 6 = 0 for g.\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 2, h: 4, i: 5, q: 2}. Give prob of picking 1 q, 1 y, 1 h, and 1 i.\n' | b'16/143\n' | b'Four letters picked without replacement from {y: 2, h: 4, i: 5, q: 2}. Give prob of picking 1 q, 1 y, 1 h, and 1 i.\n' | b'16/143\n' | deepmind/math_dataset |
b'Suppose 2*q + 3*q = 0. Let l(y) be the third derivative of -y**5/60 - y**4/24 - 23*y**3/6 + 219388*y**2. Determine l(q).\n' | b'-23\n' | b'Suppose 2*q + 3*q = 0. Let l(y) be the third derivative of -y**5/60 - y**4/24 - 23*y**3/6 + 219388*y**2. Determine l(q).\n' | b'-23\n' | deepmind/math_dataset |
b'Simplify (v/(v*v**(-2)))**(-6/37)/((v*v*v**(-41))/v**(-3/22)) assuming v is positive.\n' | b'v**(31371/814)\n' | b'Simplify (v/(v*v**(-2)))**(-6/37)/((v*v*v**(-41))/v**(-3/22)) assuming v is positive.\n' | b'v**(31371/814)\n' | deepmind/math_dataset |
b'Let v(m) = -m + 2. Let a = 16 + -11. Let x be v(a). Let t(l) be the third derivative of -l**6/120 - l**5/30 + l**4/24 + 17*l**2. Give t(x).\n' | b'6\n' | b'Let v(m) = -m + 2. Let a = 16 + -11. Let x be v(a). Let t(l) be the third derivative of -l**6/120 - l**5/30 + l**4/24 + 17*l**2. Give t(x).\n' | b'6\n' | deepmind/math_dataset |
b'Let v(z) = -2*z**2 - 32*z - 42. Let j be v(-20). Let a = -198 - j. Solve -3*f + 5*i - 4 = 0, a*f + 17 = -8*i + 3*i for f.\n' | b'-3\n' | b'Let v(z) = -2*z**2 - 32*z - 42. Let j be v(-20). Let a = -198 - j. Solve -3*f + 5*i - 4 = 0, a*f + 17 = -8*i + 3*i for f.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose d + 48 = -2*d. Let y(c) = 66*c**4 + 86*c + 16. Let z(l) = 13*l**4 + 17*l + 3. Let f(w) = d*z(w) + 3*y(w). What is the second derivative of f(j) wrt j?\n' | b'-120*j**2\n' | b'Suppose d + 48 = -2*d. Let y(c) = 66*c**4 + 86*c + 16. Let z(l) = 13*l**4 + 17*l + 3. Let f(w) = d*z(w) + 3*y(w). What is the second derivative of f(j) wrt j?\n' | b'-120*j**2\n' | deepmind/math_dataset |
b'Let q(z) = -2022*z**3 + 8*z**2 + 12*z - 333. Let i(n) = 2021*n**3 - 7*n**2 - 10*n + 329. Let s(v) = 6*i(v) + 5*q(v). Find the third derivative of s(m) wrt m.\n' | b'12096\n' | b'Let q(z) = -2022*z**3 + 8*z**2 + 12*z - 333. Let i(n) = 2021*n**3 - 7*n**2 - 10*n + 329. Let s(v) = 6*i(v) + 5*q(v). Find the third derivative of s(m) wrt m.\n' | b'12096\n' | deepmind/math_dataset |
b'Let y be 13/(-182) - (-1850)/28. Suppose -c + 5*c + 2*q - y = 0, 0 = 2*c - 3*q - 13. Solve c = r + 2*i, 0 = -5*r - 2*i + 6*i for r.\n' | b'4\n' | b'Let y be 13/(-182) - (-1850)/28. Suppose -c + 5*c + 2*q - y = 0, 0 = 2*c - 3*q - 13. Solve c = r + 2*i, 0 = -5*r - 2*i + 6*i for r.\n' | b'4\n' | deepmind/math_dataset |
b'Let q(n) = -209*n + 13. Let m(f) = 278*f - 15. Let h(g) = 3*m(g) + 4*q(g). Suppose 3*d = -13 - 2. Calculate h(d).\n' | b'17\n' | b'Let q(n) = -209*n + 13. Let m(f) = 278*f - 15. Let h(g) = 3*m(g) + 4*q(g). Suppose 3*d = -13 - 2. Calculate h(d).\n' | b'17\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {z: 1, h: 3, k: 2, p: 1, n: 1, s: 3}. Give prob of sequence zph.\n' | b'1/330\n' | b'Three letters picked without replacement from {z: 1, h: 3, k: 2, p: 1, n: 1, s: 3}. Give prob of sequence zph.\n' | b'1/330\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ummuummmum. What is prob of picking 2 m?\n' | b'1/3\n' | b'Two letters picked without replacement from ummuummmum. What is prob of picking 2 m?\n' | b'1/3\n' | deepmind/math_dataset |
b'What is prob of sequence gmm when three letters picked without replacement from {m: 2, r: 1, f: 2, p: 1, g: 4}?\n' | b'1/90\n' | b'What is prob of sequence gmm when three letters picked without replacement from {m: 2, r: 1, f: 2, p: 1, g: 4}?\n' | b'1/90\n' | deepmind/math_dataset |
b'Let v(a) = 189*a**4 - 41*a**2 - 4*a + 6. Let o(g) = 190*g**4 - 41*g**2 - 3*g + 5. Let z(b) = -4*o(b) + 3*v(b). Find the third derivative of z(s) wrt s.\n' | b'-4632*s\n' | b'Let v(a) = 189*a**4 - 41*a**2 - 4*a + 6. Let o(g) = 190*g**4 - 41*g**2 - 3*g + 5. Let z(b) = -4*o(b) + 3*v(b). Find the third derivative of z(s) wrt s.\n' | b'-4632*s\n' | deepmind/math_dataset |
b'Three letters picked without replacement from llssmslss. What is prob of picking 3 s?\n' | b'5/42\n' | b'Three letters picked without replacement from llssmslss. What is prob of picking 3 s?\n' | b'5/42\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 4, m: 3, v: 2, k: 1}. What is prob of picking 1 m, 2 i, and 1 v?\n' | b'6/35\n' | b'Four letters picked without replacement from {i: 4, m: 3, v: 2, k: 1}. What is prob of picking 1 m, 2 i, and 1 v?\n' | b'6/35\n' | deepmind/math_dataset |
b'Calculate prob of sequence rag when three letters picked without replacement from {b: 4, s: 4, g: 1, r: 2, x: 1, a: 3}.\n' | b'1/455\n' | b'Calculate prob of sequence rag when three letters picked without replacement from {b: 4, s: 4, g: 1, r: 2, x: 1, a: 3}.\n' | b'1/455\n' | deepmind/math_dataset |
b'Suppose n = 433 - 167. Let u be n/35 + (-2)/(-5). Let s = u - 6. Solve s*k + 10 = x + 5*k, 0 = -3*x - k - 10 for x.\n' | b'-5\n' | b'Suppose n = 433 - 167. Let u be n/35 + (-2)/(-5). Let s = u - 6. Solve s*k + 10 = x + 5*k, 0 = -3*x - k - 10 for x.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((g**(-7)/g**2)/(g**(-1/3))**(-7/2))/((g/(g/(g**(-1/4)*g)))**(1/10)*g**(-2)/(g/g**(6/5))) assuming g is positive.\n' | b'g**(-1013/120)\n' | b'Simplify ((g**(-7)/g**2)/(g**(-1/3))**(-7/2))/((g/(g/(g**(-1/4)*g)))**(1/10)*g**(-2)/(g/g**(6/5))) assuming g is positive.\n' | b'g**(-1013/120)\n' | deepmind/math_dataset |
b'What is prob of picking 1 r, 1 y, and 2 x when four letters picked without replacement from xxcxxxxxxrrxyxxcxm?\n' | b'11/255\n' | b'What is prob of picking 1 r, 1 y, and 2 x when four letters picked without replacement from xxcxxxxxxrrxyxxcxm?\n' | b'11/255\n' | deepmind/math_dataset |
b'Let k(s) be the third derivative of 293*s**4/24 - 167*s**3/6 + 452*s**2. Differentiate k(t) with respect to t.\n' | b'293\n' | b'Let k(s) be the third derivative of 293*s**4/24 - 167*s**3/6 + 452*s**2. Differentiate k(t) with respect to t.\n' | b'293\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b and 1 s when two letters picked without replacement from {c: 1, b: 1, h: 2, s: 2}.\n' | b'2/15\n' | b'Calculate prob of picking 1 b and 1 s when two letters picked without replacement from {c: 1, b: 1, h: 2, s: 2}.\n' | b'2/15\n' | deepmind/math_dataset |
b'Simplify (u/(u**(-1/2)*u))**(-34)*(((u/u**(-6))/u)/u)/(u/u**(-7))*((u*u**(-2)*u)/(u/u**(2/11)))/((u*u**(-2/9))/(u/u**7)) assuming u is positive.\n' | b'u**(-2732/99)\n' | b'Simplify (u/(u**(-1/2)*u))**(-34)*(((u/u**(-6))/u)/u)/(u/u**(-7))*((u*u**(-2)*u)/(u/u**(2/11)))/((u*u**(-2/9))/(u/u**7)) assuming u is positive.\n' | b'u**(-2732/99)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 7}. What is prob of picking 3 s?\n' | b'1\n' | b'Three letters picked without replacement from {s: 7}. What is prob of picking 3 s?\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 3}. Give prob of picking 2 p.\n' | b'1\n' | b'Two letters picked without replacement from {p: 3}. Give prob of picking 2 p.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence ga when two letters picked without replacement from hrawgwcg?\n' | b'1/28\n' | b'What is prob of sequence ga when two letters picked without replacement from hrawgwcg?\n' | b'1/28\n' | deepmind/math_dataset |
b'What is prob of picking 1 f, 1 q, and 1 w when three letters picked without replacement from qfwqqqbwbyyqeweqef?\n' | b'3/68\n' | b'What is prob of picking 1 f, 1 q, and 1 w when three letters picked without replacement from qfwqqqbwbyyqeweqef?\n' | b'3/68\n' | deepmind/math_dataset |
b'Simplify (w*w/w**(-9))/w**(-8/7)*w**(-6)*(w/(w/(w*w/w**(-1/10)*w*w)))/w*w assuming w is positive.\n' | b'w**(717/70)\n' | b'Simplify (w*w/w**(-9))/w**(-8/7)*w**(-6)*(w/(w/(w*w/w**(-1/10)*w*w)))/w*w assuming w is positive.\n' | b'w**(717/70)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 g when two letters picked without replacement from {g: 6, s: 7}.\n' | b'5/26\n' | b'Calculate prob of picking 2 g when two letters picked without replacement from {g: 6, s: 7}.\n' | b'5/26\n' | deepmind/math_dataset |
b'Let i(q) be the first derivative of -q**8/120 - 19*q**5/120 - 2*q**3 + 7. Let t(s) be the third derivative of i(s). Find the second derivative of t(n) wrt n.\n' | b'-168*n**2\n' | b'Let i(q) be the first derivative of -q**8/120 - 19*q**5/120 - 2*q**3 + 7. Let t(s) be the third derivative of i(s). Find the second derivative of t(n) wrt n.\n' | b'-168*n**2\n' | deepmind/math_dataset |
b'Let n(q) = -918*q**4 - 8*q**2 + 576*q + 8. Let x(z) = 306*z**4 + 3*z**2 - 192*z - 3. Let y(g) = -3*n(g) - 8*x(g). Find the second derivative of y(v) wrt v.\n' | b'3672*v**2\n' | b'Let n(q) = -918*q**4 - 8*q**2 + 576*q + 8. Let x(z) = 306*z**4 + 3*z**2 - 192*z - 3. Let y(g) = -3*n(g) - 8*x(g). Find the second derivative of y(v) wrt v.\n' | b'3672*v**2\n' | deepmind/math_dataset |
b'Let r(u) = 1 - 1 - 4 - 7*u - u**2. Let l be r(-6). Find the first derivative of -6 + l + 3 - 2 + w**3 wrt w.\n' | b'3*w**2\n' | b'Let r(u) = 1 - 1 - 4 - 7*u - u**2. Let l be r(-6). Find the first derivative of -6 + l + 3 - 2 + w**3 wrt w.\n' | b'3*w**2\n' | deepmind/math_dataset |
b'What is prob of picking 3 z and 1 m when four letters picked without replacement from {z: 5, m: 14}?\n' | b'35/969\n' | b'What is prob of picking 3 z and 1 m when four letters picked without replacement from {z: 5, m: 14}?\n' | b'35/969\n' | deepmind/math_dataset |
b'Let o(m) be the first derivative of 7*m**3/3 + m**2 + 8. Find the second derivative of o(y) wrt y.\n' | b'14\n' | b'Let o(m) be the first derivative of 7*m**3/3 + m**2 + 8. Find the second derivative of o(y) wrt y.\n' | b'14\n' | deepmind/math_dataset |
b'What is prob of sequence qb when two letters picked without replacement from qqbbq?\n' | b'3/10\n' | b'What is prob of sequence qb when two letters picked without replacement from qqbbq?\n' | b'3/10\n' | deepmind/math_dataset |
b'What is prob of picking 3 m and 1 a when four letters picked without replacement from {m: 3, a: 4, u: 4, t: 3, p: 6}?\n' | b'4/4845\n' | b'What is prob of picking 3 m and 1 a when four letters picked without replacement from {m: 3, a: 4, u: 4, t: 3, p: 6}?\n' | b'4/4845\n' | deepmind/math_dataset |
b'What is prob of sequence hhh when three letters picked without replacement from hhhhhh?\n' | b'1\n' | b'What is prob of sequence hhh when three letters picked without replacement from hhhhhh?\n' | b'1\n' | deepmind/math_dataset |
b'Let v(y) = 13*y**2 + 7*y - 8. Suppose 0 = 13*k + 17*k + 33*k - 63. Give v(k).\n' | b'12\n' | b'Let v(y) = 13*y**2 + 7*y - 8. Suppose 0 = 13*k + 17*k + 33*k - 63. Give v(k).\n' | b'12\n' | deepmind/math_dataset |
b'Calculate prob of sequence va when two letters picked without replacement from mmvvmmvalmvavmam.\n' | b'1/16\n' | b'Calculate prob of sequence va when two letters picked without replacement from mmvvmmvalmvavmam.\n' | b'1/16\n' | deepmind/math_dataset |
b'Let p(u) = -3*u**2 + 9. Let s(b) = -16*b**2 + 44. Let j(n) = 11*p(n) - 2*s(n). Suppose 4*r - 10 + 2 = 2*i, 0 = -3*i + 2*r - 4. What is j(i)?\n' | b'11\n' | b'Let p(u) = -3*u**2 + 9. Let s(b) = -16*b**2 + 44. Let j(n) = 11*p(n) - 2*s(n). Suppose 4*r - 10 + 2 = 2*i, 0 = -3*i + 2*r - 4. What is j(i)?\n' | b'11\n' | deepmind/math_dataset |
b'Find the first derivative of -30*y**3 - 36*y**2 - 33*y**2 - y**2 - 7832 + 17*y**2 + y - 262 wrt y.\n' | b'-90*y**2 - 106*y + 1\n' | b'Find the first derivative of -30*y**3 - 36*y**2 - 33*y**2 - y**2 - 7832 + 17*y**2 + y - 262 wrt y.\n' | b'-90*y**2 - 106*y + 1\n' | deepmind/math_dataset |
b'Let v = -4 - -10. Let l = 8 - v. Suppose 4*p - 10 = l*p. Solve 4*s + 35 = -5*y, s + p - 15 = 5*y for y.\n' | b'-3\n' | b'Let v = -4 - -10. Let l = 8 - v. Suppose 4*p - 10 = l*p. Solve 4*s + 35 = -5*y, s + p - 15 = 5*y for y.\n' | b'-3\n' | deepmind/math_dataset |
b'Let z(m) be the second derivative of -331*m**5/20 + 1241*m**3/6 + 10*m - 2. Find the second derivative of z(k) wrt k.\n' | b'-1986*k\n' | b'Let z(m) be the second derivative of -331*m**5/20 + 1241*m**3/6 + 10*m - 2. Find the second derivative of z(k) wrt k.\n' | b'-1986*k\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 c when two letters picked without replacement from cccccc.\n' | b'1\n' | b'Calculate prob of picking 2 c when two letters picked without replacement from cccccc.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence zb when two letters picked without replacement from {f: 8, p: 2, k: 2, x: 5, b: 1, z: 2}?\n' | b'1/190\n' | b'What is prob of sequence zb when two letters picked without replacement from {f: 8, p: 2, k: 2, x: 5, b: 1, z: 2}?\n' | b'1/190\n' | deepmind/math_dataset |
b'Suppose -2*o + 0*o - 8 = 0. Let y(a) = a**3 + 6*a**2 + 7*a + 1. Let b be y(o). Solve 0 = r - 2*j - 5, 4*r + 5 = -2*j - b for r.\n' | b'-1\n' | b'Suppose -2*o + 0*o - 8 = 0. Let y(a) = a**3 + 6*a**2 + 7*a + 1. Let b be y(o). Solve 0 = r - 2*j - 5, 4*r + 5 = -2*j - b for r.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (q*q**(-10)*q*q**(-1/2)/q*q*q*q)**39/(((q*q*q*q/(q**(6/11)/q)*q)/(q/(q**(-3/4)*q)))/(q**(-1/4)*q/q**6)) assuming q is positive.\n' | b'q**(-2898/11)\n' | b'Simplify (q*q**(-10)*q*q**(-1/2)/q*q*q*q)**39/(((q*q*q*q/(q**(6/11)/q)*q)/(q/(q**(-3/4)*q)))/(q**(-1/4)*q/q**6)) assuming q is positive.\n' | b'q**(-2898/11)\n' | deepmind/math_dataset |
b'Let f be 108/(-324) - 404/(-6). Let g(p) = -64*p + p**3 + f*p - 18 + 15 - 3*p**2. Let h(s) = -s + 5. Let n be h(3). Determine g(n).\n' | b'-1\n' | b'Let f be 108/(-324) - 404/(-6). Let g(p) = -64*p + p**3 + f*p - 18 + 15 - 3*p**2. Let h(s) = -s + 5. Let n be h(3). Determine g(n).\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 n and 1 c when two letters picked without replacement from {i: 1, h: 2, n: 1, c: 1, g: 2}.\n' | b'1/21\n' | b'Calculate prob of picking 1 n and 1 c when two letters picked without replacement from {i: 1, h: 2, n: 1, c: 1, g: 2}.\n' | b'1/21\n' | deepmind/math_dataset |
b'Let o(r) = r + 6. Let x = -5 + -1. Let l be o(x). Suppose -q - 9 + 4 = l. Let y(j) = -j**2 - 5*j - 6. What is y(q)?\n' | b'-6\n' | b'Let o(r) = r + 6. Let x = -5 + -1. Let l be o(x). Suppose -q - 9 + 4 = l. Let y(j) = -j**2 - 5*j - 6. What is y(q)?\n' | b'-6\n' | deepmind/math_dataset |
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