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 0 = -4*j + 2*q + 18 + 32, 5*j = 2*q + 63. Let f = j + 5. Suppose i + 6 = 13. Solve x = 3*v + f, -25 = 2*v - i*x + 2*x for v.\n' | b'-5\n' | b'Suppose 0 = -4*j + 2*q + 18 + 32, 5*j = 2*q + 63. Let f = j + 5. Suppose i + 6 = 13. Solve x = 3*v + f, -25 = 2*v - i*x + 2*x for v.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (r*(r*(r*r**(-31))/r)/r)**(14/9) assuming r is positive.\n' | b'r**(-140/3)\n' | b'Simplify (r*(r*(r*r**(-31))/r)/r)**(14/9) assuming r is positive.\n' | b'r**(-140/3)\n' | deepmind/math_dataset |
b'Let d(c) = c + 12. Suppose 0 = -v - 0*v. Let w be d(v). Solve 2*i = -i - w, -3*i = -4*t + 16 for t.\n' | b'1\n' | b'Let d(c) = c + 12. Suppose 0 = -v - 0*v. Let w be d(v). Solve 2*i = -i - w, -3*i = -4*t + 16 for t.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (y**(-3))**(-1) assuming y is positive.\n' | b'y**3\n' | b'Simplify (y**(-3))**(-1) assuming y is positive.\n' | b'y**3\n' | deepmind/math_dataset |
b'Let o(a) = 6*a - 7. Let w(z) = -2*z + 2. Let r(i) = 3*o(i) + 8*w(i). Calculate r(4).\n' | b'3\n' | b'Let o(a) = 6*a - 7. Let w(z) = -2*z + 2. Let r(i) = 3*o(i) + 8*w(i). Calculate r(4).\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from fiiitvftvfifvab. Give prob of picking 1 b, 1 v, 1 a, and 1 f.\n' | b'4/455\n' | b'Four letters picked without replacement from fiiitvftvfifvab. Give prob of picking 1 b, 1 v, 1 a, and 1 f.\n' | b'4/455\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zccphcpnnpphpjnhcp. What is prob of sequence ccp?\n' | b'1/68\n' | b'Three letters picked without replacement from zccphcpnnpphpjnhcp. What is prob of sequence ccp?\n' | b'1/68\n' | deepmind/math_dataset |
b'Let d be (-8)/(-44) + 194/22. Suppose 2*b + r = -2*b + 19, d = 3*r. Solve p + t = 6, p = b*t - 3*t - 4 for p.\n' | b'1\n' | b'Let d be (-8)/(-44) + 194/22. Suppose 2*b + r = -2*b + 19, d = 3*r. Solve p + t = 6, p = b*t - 3*t - 4 for p.\n' | b'1\n' | deepmind/math_dataset |
b'Let r(o) be the third derivative of o**7/105 - o**3/3 + 8*o**2. What is the derivative of r(c) wrt c?\n' | b'8*c**3\n' | b'Let r(o) be the third derivative of o**7/105 - o**3/3 + 8*o**2. What is the derivative of r(c) wrt c?\n' | b'8*c**3\n' | deepmind/math_dataset |
b'Simplify ((v**45*v)/(v*v/(v*v/(v*v*v**(-43)/v))))**(11/7) assuming v is positive.\n' | b'v**(968/7)\n' | b'Simplify ((v**45*v)/(v*v/(v*v/(v*v*v**(-43)/v))))**(11/7) assuming v is positive.\n' | b'v**(968/7)\n' | deepmind/math_dataset |
b'Let t = -6 - -10. Let n(h) = 8*h - 3. Let g be n(t). Let o be (-657734)/(-136672) - (-1)/(32/6). Solve -o*q + 4*r - g = 0, 0 = -2*q - 0*q - r - 9 for q.\n' | b'-5\n' | b'Let t = -6 - -10. Let n(h) = 8*h - 3. Let g be n(t). Let o be (-657734)/(-136672) - (-1)/(32/6). Solve -o*q + 4*r - g = 0, 0 = -2*q - 0*q - r - 9 for q.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (a*a/a**(-2/13))**(-16)*(a**(-1/10)*a)/(a/a**(-8)*a) assuming a is positive.\n' | b'a**(-5663/130)\n' | b'Simplify (a*a/a**(-2/13))**(-16)*(a**(-1/10)*a)/(a/a**(-8)*a) assuming a is positive.\n' | b'a**(-5663/130)\n' | deepmind/math_dataset |
b'Let u(x) be the second derivative of x**8/2240 - x**6/360 + x**4/4 - 3*x. Let o(n) be the third derivative of u(n). Find the second derivative of o(i) wrt i.\n' | b'18*i\n' | b'Let u(x) be the second derivative of x**8/2240 - x**6/360 + x**4/4 - 3*x. Let o(n) be the third derivative of u(n). Find the second derivative of o(i) wrt i.\n' | b'18*i\n' | deepmind/math_dataset |
b'Let n be ((-40)/4 + 10)/2. Solve 0 = d + 2*r - 6*r - 23, -5*d + 3*r + 30 = n for d.\n' | b'3\n' | b'Let n be ((-40)/4 + 10)/2. Solve 0 = d + 2*r - 6*r - 23, -5*d + 3*r + 30 = n for d.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -n + 15 = -0*z + 4*z, z - 9 = -2*n. Suppose 2*r - 15 = -n*r. Suppose g - 110 = -3*l - 0*g, -r*g = -15. Solve -3*j = j - 5*a - l, -5*a = 4*j - 5 for j.\n' | b'5\n' | b'Suppose -n + 15 = -0*z + 4*z, z - 9 = -2*n. Suppose 2*r - 15 = -n*r. Suppose g - 110 = -3*l - 0*g, -r*g = -15. Solve -3*j = j - 5*a - l, -5*a = 4*j - 5 for j.\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from fnn. Give prob of sequence fnn.\n' | b'1/3\n' | b'Three letters picked without replacement from fnn. Give prob of sequence fnn.\n' | b'1/3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from llrlrlaxklklbbl. Give prob of picking 1 l and 1 x.\n' | b'1/15\n' | b'Two letters picked without replacement from llrlrlaxklklbbl. Give prob of picking 1 l and 1 x.\n' | b'1/15\n' | deepmind/math_dataset |
b'Two letters picked without replacement from dmmmmmmmdomdmddmmddm. Give prob of picking 1 d and 1 m.\n' | b'42/95\n' | b'Two letters picked without replacement from dmmmmmmmdomdmddmmddm. Give prob of picking 1 d and 1 m.\n' | b'42/95\n' | deepmind/math_dataset |
b'What is prob of picking 1 k and 1 m when two letters picked without replacement from {m: 3, v: 2, k: 1, q: 1}?\n' | b'1/7\n' | b'What is prob of picking 1 k and 1 m when two letters picked without replacement from {m: 3, v: 2, k: 1, q: 1}?\n' | b'1/7\n' | deepmind/math_dataset |
b'Simplify i**4/i*i**6*i*i*i**(-4)*i/(i*i**(-3/4)/i) assuming i is positive.\n' | b'i**(35/4)\n' | b'Simplify i**4/i*i**6*i*i*i**(-4)*i/(i*i**(-3/4)/i) assuming i is positive.\n' | b'i**(35/4)\n' | deepmind/math_dataset |
b'Let f(a) be the first derivative of 69*a**5/5 - 209*a**3 - 62. What is the third derivative of f(u) wrt u?\n' | b'1656*u\n' | b'Let f(a) be the first derivative of 69*a**5/5 - 209*a**3 - 62. What is the third derivative of f(u) wrt u?\n' | b'1656*u\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ddddgggdgdd. Give prob of sequence dddd.\n' | b'7/66\n' | b'Four letters picked without replacement from ddddgggdgdd. Give prob of sequence dddd.\n' | b'7/66\n' | deepmind/math_dataset |
b'Let y(a) = -a**2 + 9*a + 1. Let s be y(8). Suppose 0 = 2*q - 21 + 5. Let v be -1 - 2*(-12)/q. Solve 0 = -w + v*h + 3, -5*h = -2*h + s for w.\n' | b'-3\n' | b'Let y(a) = -a**2 + 9*a + 1. Let s be y(8). Suppose 0 = 2*q - 21 + 5. Let v be -1 - 2*(-12)/q. Solve 0 = -w + v*h + 3, -5*h = -2*h + s for w.\n' | b'-3\n' | deepmind/math_dataset |
b'Find the first derivative of 216 - 18*f - 6*f + 13*f - 15*f - 74*f wrt f.\n' | b'-100\n' | b'Find the first derivative of 216 - 18*f - 6*f + 13*f - 15*f - 74*f wrt f.\n' | b'-100\n' | deepmind/math_dataset |
b'Simplify (v**2*v*v**(-15))**13 assuming v is positive.\n' | b'v**(-156)\n' | b'Simplify (v**2*v*v**(-15))**13 assuming v is positive.\n' | b'v**(-156)\n' | deepmind/math_dataset |
b'Let w(u) = 2*u + 2*u**2 + 14 - 4*u**2 - 15. Give w(3).\n' | b'-13\n' | b'Let w(u) = 2*u + 2*u**2 + 14 - 4*u**2 - 15. Give w(3).\n' | b'-13\n' | deepmind/math_dataset |
b'Let p(g) be the third derivative of g**9/504 + 2*g**7/21 + 9*g**5/20 + 2*g**2. Find the third derivative of p(w) wrt w.\n' | b'120*w**3 + 480*w\n' | b'Let p(g) be the third derivative of g**9/504 + 2*g**7/21 + 9*g**5/20 + 2*g**2. Find the third derivative of p(w) wrt w.\n' | b'120*w**3 + 480*w\n' | deepmind/math_dataset |
b'Simplify (y/(y/(y/(((y/((y**(-4)*y)/y))/y)/y)*y))*y)**(-33)/(y**(-8)*y/(y/(y/(y**11/y))*y)) assuming y is positive.\n' | b'y**18\n' | b'Simplify (y/(y/(y/(((y/((y**(-4)*y)/y))/y)/y)*y))*y)**(-33)/(y**(-8)*y/(y/(y/(y**11/y))*y)) assuming y is positive.\n' | b'y**18\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zndmymdyyd. Give prob of sequence dmz.\n' | b'1/120\n' | b'Three letters picked without replacement from zndmymdyyd. Give prob of sequence dmz.\n' | b'1/120\n' | deepmind/math_dataset |
b'What is prob of sequence sjgs when four letters picked without replacement from {x: 1, f: 2, i: 2, j: 5, g: 2, s: 5}?\n' | b'5/1428\n' | b'What is prob of sequence sjgs when four letters picked without replacement from {x: 1, f: 2, i: 2, j: 5, g: 2, s: 5}?\n' | b'5/1428\n' | deepmind/math_dataset |
b'What is prob of picking 1 o and 3 t when four letters picked without replacement from eetjzjttojttzto?\n' | b'8/273\n' | b'What is prob of picking 1 o and 3 t when four letters picked without replacement from eetjzjttojttzto?\n' | b'8/273\n' | deepmind/math_dataset |
b'Three letters picked without replacement from daaaddaddm. What is prob of sequence ddd?\n' | b'1/12\n' | b'Three letters picked without replacement from daaaddaddm. What is prob of sequence ddd?\n' | b'1/12\n' | deepmind/math_dataset |
b'Simplify (y/y**(-4))**(6/17) assuming y is positive.\n' | b'y**(30/17)\n' | b'Simplify (y/y**(-4))**(6/17) assuming y is positive.\n' | b'y**(30/17)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from lgljjjgjpjlfpvl. What is prob of picking 1 j and 1 v?\n' | b'1/21\n' | b'Two letters picked without replacement from lgljjjgjpjlfpvl. What is prob of picking 1 j and 1 v?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let q(g) be the first derivative of -4*g**5 + 13*g + 174. Differentiate q(r) wrt r.\n' | b'-80*r**3\n' | b'Let q(g) be the first derivative of -4*g**5 + 13*g + 174. Differentiate q(r) wrt r.\n' | b'-80*r**3\n' | deepmind/math_dataset |
b'Let u = 321 + -322. Let n(j) = -7*j**2 - 5*j - 5. Let y(p) = p**2 + p + 1. Let w(t) = -n(t) - 5*y(t). Calculate w(u).\n' | b'2\n' | b'Let u = 321 + -322. Let n(j) = -7*j**2 - 5*j - 5. Let y(p) = p**2 + p + 1. Let w(t) = -n(t) - 5*y(t). Calculate w(u).\n' | b'2\n' | deepmind/math_dataset |
b'Let i = -1 + 4. Let a(o) = -o + 3*o - 4*o**2 + o + o**3. What is a(i)?\n' | b'0\n' | b'Let i = -1 + 4. Let a(o) = -o + 3*o - 4*o**2 + o + o**3. What is a(i)?\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (i**0)**43/(i/i**(-5)*i/i**(-5))*((i*i*i**1/i*i)/i*i)**(-10/13)*i/((i**(-5)*i)/i)*(i*i**(3/4))/i assuming i is positive.\n' | b'i**(-393/52)\n' | b'Simplify (i**0)**43/(i/i**(-5)*i/i**(-5))*((i*i*i**1/i*i)/i*i)**(-10/13)*i/((i**(-5)*i)/i)*(i*i**(3/4))/i assuming i is positive.\n' | b'i**(-393/52)\n' | deepmind/math_dataset |
b'Simplify y**(-1/24)*y**(-2/11)/y*(y/(y**(-15)*y))/y**(-10) assuming y is positive.\n' | b'y**(6277/264)\n' | b'Simplify y**(-1/24)*y**(-2/11)/y*(y/(y**(-15)*y))/y**(-10) assuming y is positive.\n' | b'y**(6277/264)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from cigcgcccgig. What is prob of sequence ii?\n' | b'1/55\n' | b'Two letters picked without replacement from cigcgcccgig. What is prob of sequence ii?\n' | b'1/55\n' | deepmind/math_dataset |
b'Let j(y) be the third derivative of y**6/120 - y**5/20 - 55*y**4/24 - 1357*y**3/2 + 2278*y**2. What is the first derivative of j(t) wrt t?\n' | b'3*t**2 - 6*t - 55\n' | b'Let j(y) be the third derivative of y**6/120 - y**5/20 - 55*y**4/24 - 1357*y**3/2 + 2278*y**2. What is the first derivative of j(t) wrt t?\n' | b'3*t**2 - 6*t - 55\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jttjtqxmntqq. What is prob of sequence tn?\n' | b'1/33\n' | b'Two letters picked without replacement from jttjtqxmntqq. What is prob of sequence tn?\n' | b'1/33\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xxxttxxx. What is prob of picking 2 t and 1 x?\n' | b'3/28\n' | b'Three letters picked without replacement from xxxttxxx. What is prob of picking 2 t and 1 x?\n' | b'3/28\n' | deepmind/math_dataset |
b'Two letters picked without replacement from eysbydy. Give prob of picking 1 e and 1 s.\n' | b'1/21\n' | b'Two letters picked without replacement from eysbydy. Give prob of picking 1 e and 1 s.\n' | b'1/21\n' | deepmind/math_dataset |
b'Calculate prob of sequence gmmg when four letters picked without replacement from mggm.\n' | b'1/6\n' | b'Calculate prob of sequence gmmg when four letters picked without replacement from mggm.\n' | b'1/6\n' | deepmind/math_dataset |
b'What is prob of sequence mlf when three letters picked without replacement from aaafalalalmaaal?\n' | b'2/1365\n' | b'What is prob of sequence mlf when three letters picked without replacement from aaafalalalmaaal?\n' | b'2/1365\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 j when two letters picked without replacement from tdjdtjtjttjttt.\n' | b'6/91\n' | b'Calculate prob of picking 2 j when two letters picked without replacement from tdjdtjtjttjttt.\n' | b'6/91\n' | deepmind/math_dataset |
b'Simplify (q**6/(q/q**1))**(-2/7) assuming q is positive.\n' | b'q**(-12/7)\n' | b'Simplify (q**6/(q/q**1))**(-2/7) assuming q is positive.\n' | b'q**(-12/7)\n' | deepmind/math_dataset |
b'Let l(q) = q**2 + 7*q + 6. Suppose -5*v + 133 - 158 = 0. Give l(v).\n' | b'-4\n' | b'Let l(q) = q**2 + 7*q + 6. Suppose -5*v + 133 - 158 = 0. Give l(v).\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((n**(-6)*n/(n/(n**(-2)*n*n*n)*n))/(n/(n*(n/n**(1/3))/n*n*n))**(-2/23))**(3/40) assuming n is positive.\n' | b'n**(-53/115)\n' | b'Simplify ((n**(-6)*n/(n/(n**(-2)*n*n*n)*n))/(n/(n*(n/n**(1/3))/n*n*n))**(-2/23))**(3/40) assuming n is positive.\n' | b'n**(-53/115)\n' | deepmind/math_dataset |
b'Suppose 0 = -2*t - 2*t. Suppose -3*g - 15 = 0, t*d + d + 2*g = -10. Find the second derivative of 4*f**4 - 3*f**4 + 2*f + d*f - 3*f wrt f.\n' | b'12*f**2\n' | b'Suppose 0 = -2*t - 2*t. Suppose -3*g - 15 = 0, t*d + d + 2*g = -10. Find the second derivative of 4*f**4 - 3*f**4 + 2*f + d*f - 3*f wrt f.\n' | b'12*f**2\n' | deepmind/math_dataset |
b'Let l be (-30)/(-8) - (-1)/4. Solve j - 2 = -3, -5*t - j = -l for t.\n' | b'1\n' | b'Let l be (-30)/(-8) - (-1)/4. Solve j - 2 = -3, -5*t - j = -l for t.\n' | b'1\n' | deepmind/math_dataset |
b'Let c(x) be the third derivative of -x**4/24 + 17*x**3/6 + 24*x**2 + 4*x. Let p be c(14). Solve -5*g = -0*y - y - 19, p*g - 3*y = 9 for g.\n' | b'4\n' | b'Let c(x) be the third derivative of -x**4/24 + 17*x**3/6 + 24*x**2 + 4*x. Let p be c(14). Solve -5*g = -0*y - y - 19, p*g - 3*y = 9 for g.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ccaayyyccl. What is prob of sequence la?\n' | b'1/45\n' | b'Two letters picked without replacement from ccaayyyccl. What is prob of sequence la?\n' | b'1/45\n' | deepmind/math_dataset |
b'Simplify (n*n**(-7)*n)/(n*n*n/(n*n/(n**0*n)))*n**(-3/7)*n*n*n**1*n*(n/(n**(-2/9)/n))/(n/(n**3*n*n)*n*n)*n*n*n**(-8)/n*n*n*n**6/n assuming n is positive.\n' | b'n**(50/63)\n' | b'Simplify (n*n**(-7)*n)/(n*n*n/(n*n/(n**0*n)))*n**(-3/7)*n*n*n**1*n*(n/(n**(-2/9)/n))/(n/(n**3*n*n)*n*n)*n*n*n**(-8)/n*n*n*n**6/n assuming n is positive.\n' | b'n**(50/63)\n' | deepmind/math_dataset |
b'What is prob of sequence ddll when four letters picked without replacement from {l: 2, d: 4}?\n' | b'1/15\n' | b'What is prob of sequence ddll when four letters picked without replacement from {l: 2, d: 4}?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let u be (-2 - -3) + (-8 - -1). Let k(q) = -q**3 - 5*q**2 + 5*q - 2. Let l be k(u). What is the first derivative of -2*b**4 + 3 + 3*b**l - 3*b**4 wrt b?\n' | b'-8*b**3\n' | b'Let u be (-2 - -3) + (-8 - -1). Let k(q) = -q**3 - 5*q**2 + 5*q - 2. Let l be k(u). What is the first derivative of -2*b**4 + 3 + 3*b**l - 3*b**4 wrt b?\n' | b'-8*b**3\n' | deepmind/math_dataset |
b'Find the third derivative of 1745*l**5 - 538*l**2 - 714*l**5 - 144*l**2 wrt l.\n' | b'61860*l**2\n' | b'Find the third derivative of 1745*l**5 - 538*l**2 - 714*l**5 - 144*l**2 wrt l.\n' | b'61860*l**2\n' | deepmind/math_dataset |
b'What is prob of picking 2 d when two letters picked without replacement from {d: 8, t: 3}?\n' | b'28/55\n' | b'What is prob of picking 2 d when two letters picked without replacement from {d: 8, t: 3}?\n' | b'28/55\n' | deepmind/math_dataset |
b'Find the first derivative of -67 + 4 + 95*t - 46*t - 40*t wrt t.\n' | b'9\n' | b'Find the first derivative of -67 + 4 + 95*t - 46*t - 40*t wrt t.\n' | b'9\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wwkwkkkkwkwwwk. What is prob of sequence kk?\n' | b'3/13\n' | b'Two letters picked without replacement from wwkwkkkkwkwwwk. What is prob of sequence kk?\n' | b'3/13\n' | deepmind/math_dataset |
b'Let i = -26 - -28. Let w(z) = 0*z**i - 3*z + 682 - 682 + 3*z**2. Calculate w(2).\n' | b'6\n' | b'Let i = -26 - -28. Let w(z) = 0*z**i - 3*z + 682 - 682 + 3*z**2. Calculate w(2).\n' | b'6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from pqssqppqupsupqpppp. Give prob of picking 2 q.\n' | b'2/51\n' | b'Two letters picked without replacement from pqssqppqupsupqpppp. Give prob of picking 2 q.\n' | b'2/51\n' | deepmind/math_dataset |
b'Simplify (p/p**(-9)*p*p**(-3/10))**(5/8)*(p**(-2/3))**(-1/3)*(p**(-2/3))**(-46) assuming p is positive.\n' | b'p**(5411/144)\n' | b'Simplify (p/p**(-9)*p*p**(-3/10))**(5/8)*(p**(-2/3))**(-1/3)*(p**(-2/3))**(-46) assuming p is positive.\n' | b'p**(5411/144)\n' | deepmind/math_dataset |
b'What is prob of picking 2 r when two letters picked without replacement from rrrr?\n' | b'1\n' | b'What is prob of picking 2 r when two letters picked without replacement from rrrr?\n' | b'1\n' | deepmind/math_dataset |
b'Let c = 168 + -75. Suppose -95*s = -c*s - 188. Let k(m) = 46 + 44 - s - 7*m - m**2. What is k(-5)?\n' | b'6\n' | b'Let c = 168 + -75. Suppose -95*s = -c*s - 188. Let k(m) = 46 + 44 - s - 7*m - m**2. What is k(-5)?\n' | b'6\n' | deepmind/math_dataset |
b'Let n(v) be the first derivative of -v**4/4 + 4*v**3/3 - v**2 + 7*v + 2632. Give n(4).\n' | b'-1\n' | b'Let n(v) be the first derivative of -v**4/4 + 4*v**3/3 - v**2 + 7*v + 2632. Give n(4).\n' | b'-1\n' | deepmind/math_dataset |
b'Find the second derivative of 21*m**4 + 16*m**4 - 9*m + 15*m + 19*m wrt m.\n' | b'444*m**2\n' | b'Find the second derivative of 21*m**4 + 16*m**4 - 9*m + 15*m + 19*m wrt m.\n' | b'444*m**2\n' | deepmind/math_dataset |
b'Simplify v**(2/51)*v*v**(1/38) assuming v is positive.\n' | b'v**(2065/1938)\n' | b'Simplify v**(2/51)*v*v**(1/38) assuming v is positive.\n' | b'v**(2065/1938)\n' | deepmind/math_dataset |
b'Let x = 39 - 18. Suppose 12 + 23 = -5*i. Let b = i + 12. Solve -b = -4*p - x, 4 = -4*d - 3*p for d.\n' | b'2\n' | b'Let x = 39 - 18. Suppose 12 + 23 = -5*i. Let b = i + 12. Solve -b = -4*p - x, 4 = -4*d - 3*p for d.\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from aiiimiat. What is prob of picking 2 a, 1 m, and 1 t?\n' | b'1/70\n' | b'Four letters picked without replacement from aiiimiat. What is prob of picking 2 a, 1 m, and 1 t?\n' | b'1/70\n' | deepmind/math_dataset |
b'Let y be (-2)/8 - (-147)/12. Suppose 2*k = -2*k + y. Solve -k*a + 3 = 0, 2*a - 2 = -3*h + 3 for h.\n' | b'1\n' | b'Let y be (-2)/8 - (-147)/12. Suppose 2*k = -2*k + y. Solve -k*a + 3 = 0, 2*a - 2 = -3*h + 3 for h.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence xxz when three letters picked without replacement from zxe.\n' | b'0\n' | b'Calculate prob of sequence xxz when three letters picked without replacement from zxe.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (o**2*o*o)**(10/9)*(o**(1/4))**41*o**(2/5)/o**(2/3)*(o/((o/(o*o/(o*o**(-1))*o)*o)/o))/o**(4/5) assuming o is positive.\n' | b'o**(2993/180)\n' | b'Simplify (o**2*o*o)**(10/9)*(o**(1/4))**41*o**(2/5)/o**(2/3)*(o/((o/(o*o/(o*o**(-1))*o)*o)/o))/o**(4/5) assuming o is positive.\n' | b'o**(2993/180)\n' | deepmind/math_dataset |
b'Let u(m) be the second derivative of 23*m**5/20 + m**4/3 - 17*m**3 - 16*m. What is the second derivative of u(p) wrt p?\n' | b'138*p + 8\n' | b'Let u(m) be the second derivative of 23*m**5/20 + m**4/3 - 17*m**3 - 16*m. What is the second derivative of u(p) wrt p?\n' | b'138*p + 8\n' | deepmind/math_dataset |
b'Suppose 4*h + 0*h - 19 = 3*l, 0 = -2*l - 2. Suppose 0 = 2*y - f + 1 - 10, 2*y + h*f = 4. Solve -7 = y*n - 0*n + k, 2*n + 2*k + 2 = 0 for n.\n' | b'-2\n' | b'Suppose 4*h + 0*h - 19 = 3*l, 0 = -2*l - 2. Suppose 0 = 2*y - f + 1 - 10, 2*y + h*f = 4. Solve -7 = y*n - 0*n + k, 2*n + 2*k + 2 = 0 for n.\n' | b'-2\n' | deepmind/math_dataset |
b'Let x(n) = -n - 8. Let d be x(-9). Differentiate -8 + 3 + 2*z**4 + d wrt z.\n' | b'8*z**3\n' | b'Let x(n) = -n - 8. Let d be x(-9). Differentiate -8 + 3 + 2*z**4 + d wrt z.\n' | b'8*z**3\n' | deepmind/math_dataset |
b'Simplify (o*o**(-2/19))**2 assuming o is positive.\n' | b'o**(34/19)\n' | b'Simplify (o*o**(-2/19))**2 assuming o is positive.\n' | b'o**(34/19)\n' | deepmind/math_dataset |
b'Simplify (p**(-1/2)/p**8)**(-42)/(p/p**(-1/4)*p**3*(p**1*p)**(1/52)) assuming p is positive.\n' | b'p**(18341/52)\n' | b'Simplify (p**(-1/2)/p**8)**(-42)/(p/p**(-1/4)*p**3*(p**1*p)**(1/52)) assuming p is positive.\n' | b'p**(18341/52)\n' | deepmind/math_dataset |
b'Let s be (-1)/(5/(-4) + (-1)/(-4)). Suppose y - 1 = j, -2*j = -3*y + 5 - s. Find the second derivative of 6*w + 7*w**2 - 15*w**2 - 6*w**y wrt w.\n' | b'-28\n' | b'Let s be (-1)/(5/(-4) + (-1)/(-4)). Suppose y - 1 = j, -2*j = -3*y + 5 - s. Find the second derivative of 6*w + 7*w**2 - 15*w**2 - 6*w**y wrt w.\n' | b'-28\n' | deepmind/math_dataset |
b'Simplify ((k**(-3)/((k**(-1)*k)/k))/(k/(k*k/(k/(k**(2/7)/k*k))*k)*k*k/(k/k**(3/7))))**(-1/35) assuming k is positive.\n' | b'k**(3/49)\n' | b'Simplify ((k**(-3)/((k**(-1)*k)/k))/(k/(k*k/(k/(k**(2/7)/k*k))*k)*k*k/(k/k**(3/7))))**(-1/35) assuming k is positive.\n' | b'k**(3/49)\n' | deepmind/math_dataset |
b'Suppose -3*p - 5 = -20. Let o(h) be the third derivative of 0*h**4 - 1/6*h**3 + 1/60*h**p + h**2 + 0*h + 0. Differentiate o(f) wrt f.\n' | b'2*f\n' | b'Suppose -3*p - 5 = -20. Let o(h) be the third derivative of 0*h**4 - 1/6*h**3 + 1/60*h**p + h**2 + 0*h + 0. Differentiate o(f) wrt f.\n' | b'2*f\n' | deepmind/math_dataset |
b'Let u(p) = 2*p**2 - 9*p + 15. Let o be u(3). Let z(g) = -g**3 + 8*g**2 - 9*g. What is z(o)?\n' | b'18\n' | b'Let u(p) = 2*p**2 - 9*p + 15. Let o be u(3). Let z(g) = -g**3 + 8*g**2 - 9*g. What is z(o)?\n' | b'18\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 n and 3 l when four letters picked without replacement from nzzpplklnkipknkl.\n' | b'3/1820\n' | b'Calculate prob of picking 1 n and 3 l when four letters picked without replacement from nzzpplklnkipknkl.\n' | b'3/1820\n' | deepmind/math_dataset |
b'Simplify v**(-5/4)*(v*v**2)/v*(v/(v*v**(-1)/v))**36 assuming v is positive.\n' | b'v**(291/4)\n' | b'Simplify v**(-5/4)*(v*v**2)/v*(v/(v*v**(-1)/v))**36 assuming v is positive.\n' | b'v**(291/4)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qayqiqy. Give prob of picking 1 i, 1 y, and 1 q.\n' | b'6/35\n' | b'Three letters picked without replacement from qayqiqy. Give prob of picking 1 i, 1 y, and 1 q.\n' | b'6/35\n' | deepmind/math_dataset |
b'Suppose -92*y + 2268 = -11*y. Solve 0 = -5*u + 2*g + y + 1, -4*g + 7 = 3*u for u.\n' | b'5\n' | b'Suppose -92*y + 2268 = -11*y. Solve 0 = -5*u + 2*g + y + 1, -4*g + 7 = 3*u for u.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (f/((f/(f/(((f/(f/f**(-22/5)))/f)/f)))/f))**3 assuming f is positive.\n' | b'f**(126/5)\n' | b'Simplify (f/((f/(f/(((f/(f/f**(-22/5)))/f)/f)))/f))**3 assuming f is positive.\n' | b'f**(126/5)\n' | deepmind/math_dataset |
b'Let d(i) = 23 - 109*i + i**2 - 8 + 109*i - 14. Suppose -r - 8 = 3*r. What is d(r)?\n' | b'5\n' | b'Let d(i) = 23 - 109*i + i**2 - 8 + 109*i - 14. Suppose -r - 8 = 3*r. What is d(r)?\n' | b'5\n' | deepmind/math_dataset |
b'Let q(w) be the second derivative of 11*w + 0*w**4 + 9/2*w**2 + 0 + 0*w**3 - 23/20*w**5. Differentiate q(x) wrt x.\n' | b'-69*x**2\n' | b'Let q(w) be the second derivative of 11*w + 0*w**4 + 9/2*w**2 + 0 + 0*w**3 - 23/20*w**5. Differentiate q(x) wrt x.\n' | b'-69*x**2\n' | deepmind/math_dataset |
b'Let l = -525 - -529. Let o = -3 - -5. Solve -3*f - 3*k = 3, o*f + 3*f - l*k + 14 = 0 for f.\n' | b'-2\n' | b'Let l = -525 - -529. Let o = -3 - -5. Solve -3*f - 3*k = 3, o*f + 3*f - l*k + 14 = 0 for f.\n' | b'-2\n' | deepmind/math_dataset |
b'Let u(d) = -6*d**2 + 1. Let v be u(1). Let h(r) be the second derivative of -r**4/12 - r**3/2 + 3*r**2 - 15*r. Give h(v).\n' | b'-4\n' | b'Let u(d) = -6*d**2 + 1. Let v be u(1). Let h(r) be the second derivative of -r**4/12 - r**3/2 + 3*r**2 - 15*r. Give h(v).\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from oooooooyoooo. What is prob of picking 3 o and 1 y?\n' | b'1/3\n' | b'Four letters picked without replacement from oooooooyoooo. What is prob of picking 3 o and 1 y?\n' | b'1/3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xcclxlcwlwslssxw. What is prob of picking 1 l and 1 w?\n' | b'1/10\n' | b'Two letters picked without replacement from xcclxlcwlwslssxw. What is prob of picking 1 l and 1 w?\n' | b'1/10\n' | deepmind/math_dataset |
b'Suppose 9*c + 39*c = 0. Solve c = 2*p - 1 - 3, -3*p = 3*z for z.\n' | b'-2\n' | b'Suppose 9*c + 39*c = 0. Solve c = 2*p - 1 - 3, -3*p = 3*z for z.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 5, v: 9, f: 5, c: 1}. Give prob of picking 1 v and 1 f.\n' | b'9/38\n' | b'Two letters picked without replacement from {z: 5, v: 9, f: 5, c: 1}. Give prob of picking 1 v and 1 f.\n' | b'9/38\n' | deepmind/math_dataset |
b'Let x = -105 - -74. Let a = 33 + x. What is the derivative of 7*i**2 - 4*i**a - 20 - 2*i**2 wrt i?\n' | b'2*i\n' | b'Let x = -105 - -74. Let a = 33 + x. What is the derivative of 7*i**2 - 4*i**a - 20 - 2*i**2 wrt i?\n' | b'2*i\n' | deepmind/math_dataset |
b'Let i(z) = 2*z**2 + 2*z - 2. Let r(n) = n + 13. Let x be r(-5). Suppose -3*t + 2 = x. Give i(t).\n' | b'2\n' | b'Let i(z) = 2*z**2 + 2*z - 2. Let r(n) = n + 13. Let x be r(-5). Suppose -3*t + 2 = x. Give i(t).\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence omm when three letters picked without replacement from mom?\n' | b'1/3\n' | b'What is prob of sequence omm when three letters picked without replacement from mom?\n' | b'1/3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from fbqqfqqqqfhffqfvqhq. What is prob of sequence hqhb?\n' | b'1/5168\n' | b'Four letters picked without replacement from fbqqfqqqqfhffqfvqhq. What is prob of sequence hqhb?\n' | b'1/5168\n' | deepmind/math_dataset |
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