question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
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b'Let z(h) = h**3 - 4*h**2 + 22*h - 56. Let b = 8979 - 8976. Determine z(b).\n' | b'1\n' | b'Let z(h) = h**3 - 4*h**2 + 22*h - 56. Let b = 8979 - 8976. Determine z(b).\n' | b'1\n' | deepmind/math_dataset |
b'Let s = -235 + 244. Find the first derivative of -336 - 143*r + 131 + s*r wrt r.\n' | b'-134\n' | b'Let s = -235 + 244. Find the first derivative of -336 - 143*r + 131 + s*r wrt r.\n' | b'-134\n' | deepmind/math_dataset |
b'Let m(r) = 3. Let h(i) = i**2 - 10*i + 4. Let c be h(11). Let p(x) = -x**2 + x**2 - c - x**2. Let g(t) = 11*m(t) + 2*p(t). Differentiate g(d) wrt d.\n' | b'-4*d\n' | b'Let m(r) = 3. Let h(i) = i**2 - 10*i + 4. Let c be h(11). Let p(x) = -x**2 + x**2 - c - x**2. Let g(t) = 11*m(t) + 2*p(t). Differentiate g(d) wrt d.\n' | b'-4*d\n' | deepmind/math_dataset |
b'Simplify (n/((n/n**(-11))/n*n*n*n*n))/n**8*n/((n/(n*n/(n**(-8)*n)))/n)*n**3 assuming n is positive.\n' | b'n**(-9)\n' | b'Simplify (n/((n/n**(-11))/n*n*n*n*n))/n**8*n/((n/(n*n/(n**(-8)*n)))/n)*n**3 assuming n is positive.\n' | b'n**(-9)\n' | deepmind/math_dataset |
b'Simplify g**(-10)/(g/(g**(-20)/g*g))*g/g**(12/7)*g**(-3/2) assuming g is positive.\n' | b'g**(-465/14)\n' | b'Simplify g**(-10)/(g/(g**(-20)/g*g))*g/g**(12/7)*g**(-3/2) assuming g is positive.\n' | b'g**(-465/14)\n' | deepmind/math_dataset |
b'Let b(q) = q**2 + q - 1. Let g(y) = -7*y**2 - 2*y + 5. Let p(i) = -4*b(i) - g(i). Determine p(-1).\n' | b'4\n' | b'Let b(q) = q**2 + q - 1. Let g(y) = -7*y**2 - 2*y + 5. Let p(i) = -4*b(i) - g(i). Determine p(-1).\n' | b'4\n' | deepmind/math_dataset |
b'Let q(a) = 3*a**2 - 7*a - 4. Let d(c) = 13*c**2 - 28*c - 15. Let k(x) = -2*d(x) + 9*q(x). Determine k(7).\n' | b'-6\n' | b'Let q(a) = 3*a**2 - 7*a - 4. Let d(c) = 13*c**2 - 28*c - 15. Let k(x) = -2*d(x) + 9*q(x). Determine k(7).\n' | b'-6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from chccnmnhmhhc. Give prob of picking 3 c and 1 h.\n' | b'16/495\n' | b'Four letters picked without replacement from chccnmnhmhhc. Give prob of picking 3 c and 1 h.\n' | b'16/495\n' | deepmind/math_dataset |
b'Let o = -5074 - -5076. Solve -p - 12 = -3*f - 0*p, -15 = -3*f + o*p for f.\n' | b'3\n' | b'Let o = -5074 - -5076. Solve -p - 12 = -3*f - 0*p, -15 = -3*f + o*p for f.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -4*y - 12 = 0, 5 = -4*q + 2*q - 3*y. What is the first derivative of q*r - 3*r**2 - 2*r - 1 wrt r?\n' | b'-6*r\n' | b'Suppose -4*y - 12 = 0, 5 = -4*q + 2*q - 3*y. What is the first derivative of q*r - 3*r**2 - 2*r - 1 wrt r?\n' | b'-6*r\n' | deepmind/math_dataset |
b'Let p(g) = -2523*g + 141. Let k(c) = 5042*c - 281. Let a(y) = -4*k(y) - 9*p(y). What is the first derivative of a(i) wrt i?\n' | b'2539\n' | b'Let p(g) = -2523*g + 141. Let k(c) = 5042*c - 281. Let a(y) = -4*k(y) - 9*p(y). What is the first derivative of a(i) wrt i?\n' | b'2539\n' | deepmind/math_dataset |
b'Let m(t) be the third derivative of -11*t**7/210 - t**4/3 - 9*t**2. Find the second derivative of m(n) wrt n.\n' | b'-132*n**2\n' | b'Let m(t) be the third derivative of -11*t**7/210 - t**4/3 - 9*t**2. Find the second derivative of m(n) wrt n.\n' | b'-132*n**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence om when two letters picked without replacement from {o: 1, r: 1, s: 1, n: 1, m: 1}.\n' | b'1/20\n' | b'Calculate prob of sequence om when two letters picked without replacement from {o: 1, r: 1, s: 1, n: 1, m: 1}.\n' | b'1/20\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 7, h: 3, t: 1, b: 6}. What is prob of picking 3 h and 1 b?\n' | b'3/1190\n' | b'Four letters picked without replacement from {a: 7, h: 3, t: 1, b: 6}. What is prob of picking 3 h and 1 b?\n' | b'3/1190\n' | deepmind/math_dataset |
b'Let s = -13 - -7. Let o = -4 - s. Let w = 12602 - 12602. Solve -h - g = -o, h + w*g = 2*g - 10 for h.\n' | b'-2\n' | b'Let s = -13 - -7. Let o = -4 - s. Let w = 12602 - 12602. Solve -h - g = -o, h + w*g = 2*g - 10 for h.\n' | b'-2\n' | deepmind/math_dataset |
b'Let u = -16 + 21. Let n(v) = v - v + 3 - v. Determine n(u).\n' | b'-2\n' | b'Let u = -16 + 21. Let n(v) = v - v + 3 - v. Determine n(u).\n' | b'-2\n' | deepmind/math_dataset |
b'Let w(c) be the second derivative of 2*c**3/3 + 20*c**2 - 2613*c. Give w(-9).\n' | b'4\n' | b'Let w(c) be the second derivative of 2*c**3/3 + 20*c**2 - 2613*c. Give w(-9).\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mxxbbbxbkbmkkbmbxm. Give prob of sequence bbk.\n' | b'7/272\n' | b'Three letters picked without replacement from mxxbbbxbkbmkkbmbxm. Give prob of sequence bbk.\n' | b'7/272\n' | deepmind/math_dataset |
b'Let c(j) = -j**3 - 7*j**2 + 6*j - 5. Let x(a) = a**3 - 4*a**2 - 8*a + 9. Let h be x(5). Let l be 3 + 21/h + 15/(-2). Give c(l).\n' | b'11\n' | b'Let c(j) = -j**3 - 7*j**2 + 6*j - 5. Let x(a) = a**3 - 4*a**2 - 8*a + 9. Let h be x(5). Let l be 3 + 21/h + 15/(-2). Give c(l).\n' | b'11\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yoodoxoyynodooyxdc. Give prob of sequence do.\n' | b'7/102\n' | b'Two letters picked without replacement from yoodoxoyynodooyxdc. Give prob of sequence do.\n' | b'7/102\n' | deepmind/math_dataset |
b'Let k(d) = d**2 - 7*d - 40. Let s(q) = -9*q**2 + 151*q - 100. Let v be s(16). Give k(v).\n' | b'20\n' | b'Let k(d) = d**2 - 7*d - 40. Let s(q) = -9*q**2 + 151*q - 100. Let v be s(16). Give k(v).\n' | b'20\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 6, h: 2, w: 1, a: 3}. What is prob of sequence xx?\n' | b'5/22\n' | b'Two letters picked without replacement from {x: 6, h: 2, w: 1, a: 3}. What is prob of sequence xx?\n' | b'5/22\n' | deepmind/math_dataset |
b'Let t(z) = z**2 + 26*z - 27. Let r be t(1). Let j(c) be the third derivative of 1/6*c**3 - 16*c**2 + 0*c + r + 1/24*c**4. What is j(4)?\n' | b'5\n' | b'Let t(z) = z**2 + 26*z - 27. Let r be t(1). Let j(c) be the third derivative of 1/6*c**3 - 16*c**2 + 0*c + r + 1/24*c**4. What is j(4)?\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (u/u**12)/(u/(u/(u/(u/(u**3*u)))*u))*u**(-3)/(u/(((u/u**9)/u)/u)) assuming u is positive.\n' | b'u**(-28)\n' | b'Simplify (u/u**12)/(u/(u/(u/(u/(u**3*u)))*u))*u**(-3)/(u/(((u/u**9)/u)/u)) assuming u is positive.\n' | b'u**(-28)\n' | deepmind/math_dataset |
b'Suppose -q = -6*q - 15. Let h be -3 + (-3 - 0/q). Let x(d) = 367*d**3 + 2 + 381*d**3 - 749*d**3 - 5*d**2 + 5 + 8*d. Give x(h).\n' | b'-5\n' | b'Suppose -q = -6*q - 15. Let h be -3 + (-3 - 0/q). Let x(d) = 367*d**3 + 2 + 381*d**3 - 749*d**3 - 5*d**2 + 5 + 8*d. Give x(h).\n' | b'-5\n' | deepmind/math_dataset |
b'Let z(o) = o**2 + 1. Let y = 405 - 401. Let w(k) = 5*k**2 - 14*k + 23. Let m(l) = y*z(l) - w(l). Determine m(13).\n' | b'-6\n' | b'Let z(o) = o**2 + 1. Let y = 405 - 401. Let w(k) = 5*k**2 - 14*k + 23. Let m(l) = y*z(l) - w(l). Determine m(13).\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify ((b*(b**(-3)/b)/b)/b)/b**(-2/13) assuming b is positive.\n' | b'b**(-63/13)\n' | b'Simplify ((b*(b**(-3)/b)/b)/b)/b**(-2/13) assuming b is positive.\n' | b'b**(-63/13)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mmmmmmm. What is prob of picking 3 m?\n' | b'1\n' | b'Three letters picked without replacement from mmmmmmm. What is prob of picking 3 m?\n' | b'1\n' | deepmind/math_dataset |
b'Simplify n**6/(n/((n/(n/(((n*n*n**(20/7))/n)/n)*n))/n)) assuming n is positive.\n' | b'n**(41/7)\n' | b'Simplify n**6/(n/((n/(n/(((n*n*n**(20/7))/n)/n)*n))/n)) assuming n is positive.\n' | b'n**(41/7)\n' | deepmind/math_dataset |
b'Let r(j) = -j**2 + 4*j - 3. Let m be r(3). What is the second derivative of -2*b + 6*b + m*b**5 - b**5 - 2*b wrt b?\n' | b'-20*b**3\n' | b'Let r(j) = -j**2 + 4*j - 3. Let m be r(3). What is the second derivative of -2*b + 6*b + m*b**5 - b**5 - 2*b wrt b?\n' | b'-20*b**3\n' | deepmind/math_dataset |
b'Let i be (11/(-22))/(1/(-2)). Solve 12 + 0 = 3*b, -i = -5*q + b for q.\n' | b'1\n' | b'Let i be (11/(-22))/(1/(-2)). Solve 12 + 0 = 3*b, -i = -5*q + b for q.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 u and 1 x when three letters picked without replacement from uuxuuxuuu.\n' | b'1/2\n' | b'Calculate prob of picking 2 u and 1 x when three letters picked without replacement from uuxuuxuuu.\n' | b'1/2\n' | deepmind/math_dataset |
b'Simplify (f**(-2/5))**37 assuming f is positive.\n' | b'f**(-74/5)\n' | b'Simplify (f**(-2/5))**37 assuming f is positive.\n' | b'f**(-74/5)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 j and 1 b when three letters picked without replacement from {j: 6, b: 2, s: 4}.\n' | b'3/22\n' | b'Calculate prob of picking 2 j and 1 b when three letters picked without replacement from {j: 6, b: 2, s: 4}.\n' | b'3/22\n' | deepmind/math_dataset |
b'Let m(c) = 3*c - 52. Let l be m(19). Suppose l*y - 10*y + 10 = 0. Let z(b) = -b**3 + b**2 + 3*b - 2. Calculate z(y).\n' | b'0\n' | b'Let m(c) = 3*c - 52. Let l be m(19). Suppose l*y - 10*y + 10 = 0. Let z(b) = -b**3 + b**2 + 3*b - 2. Calculate z(y).\n' | b'0\n' | deepmind/math_dataset |
b'Let h(q) = 2*q**3 + 2*q**2 - q - 3. Let b = -4 - -8. Let t be b/3*-3 + 1. Let s(l) = l**3 - l**2 + 1. Let r(g) = t*s(g) - h(g). Calculate r(-1).\n' | b'5\n' | b'Let h(q) = 2*q**3 + 2*q**2 - q - 3. Let b = -4 - -8. Let t be b/3*-3 + 1. Let s(l) = l**3 - l**2 + 1. Let r(g) = t*s(g) - h(g). Calculate r(-1).\n' | b'5\n' | deepmind/math_dataset |
b'What is the second derivative of -15*d**4 - 10*d**2 + 10*d**2 - 15*d - 10*d**4 wrt d?\n' | b'-300*d**2\n' | b'What is the second derivative of -15*d**4 - 10*d**2 + 10*d**2 - 15*d - 10*d**4 wrt d?\n' | b'-300*d**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence uxuu when four letters picked without replacement from uxuxuuuuuu.\n' | b'2/15\n' | b'Calculate prob of sequence uxuu when four letters picked without replacement from uxuxuuuuuu.\n' | b'2/15\n' | deepmind/math_dataset |
b'What is prob of sequence mm when two letters picked without replacement from iiimiiiiim?\n' | b'1/45\n' | b'What is prob of sequence mm when two letters picked without replacement from iiimiiiiim?\n' | b'1/45\n' | deepmind/math_dataset |
b'Suppose -22 = -16*j + 42. Solve j*m - 20 = -3*k - 0*k, -k - 4*m = -20 for k.\n' | b'0\n' | b'Suppose -22 = -16*j + 42. Solve j*m - 20 = -3*k - 0*k, -k - 4*m = -20 for k.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 3*i + 0 = -18. Let x = i + 7. Solve -3*t = 3, -s - 2 - x = t for s.\n' | b'-2\n' | b'Suppose 3*i + 0 = -18. Let x = i + 7. Solve -3*t = 3, -s - 2 - x = t for s.\n' | b'-2\n' | deepmind/math_dataset |
b'Let r be ((-35)/(-140) - (375/(-4))/5)*1. Solve -2*w - 10 = -4*q, q - w - r + 17 = 0 for q.\n' | b'3\n' | b'Let r be ((-35)/(-140) - (375/(-4))/5)*1. Solve -2*w - 10 = -4*q, q - w - r + 17 = 0 for q.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((w*w**7)/w**(2/7)*(w/((w**2*w)/w))**(-45))/(w**(4/15)*w**(5/4))**43 assuming w is positive.\n' | b'w**(-5251/420)\n' | b'Simplify ((w*w**7)/w**(2/7)*(w/((w**2*w)/w))**(-45))/(w**(4/15)*w**(5/4))**43 assuming w is positive.\n' | b'w**(-5251/420)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hxzzzhhhzhxzzxhxh. What is prob of picking 2 h?\n' | b'21/136\n' | b'Two letters picked without replacement from hxzzzhhhzhxzzxhxh. What is prob of picking 2 h?\n' | b'21/136\n' | deepmind/math_dataset |
b'Three letters picked without replacement from htsiiaz. What is prob of picking 1 t, 1 a, and 1 h?\n' | b'1/35\n' | b'Three letters picked without replacement from htsiiaz. What is prob of picking 1 t, 1 a, and 1 h?\n' | b'1/35\n' | deepmind/math_dataset |
b'Let v be -6*6/4*-2. Solve 5*z + 20 = 5*b, -5*b = -7*z + 4*z - v for b.\n' | b'3\n' | b'Let v be -6*6/4*-2. Solve 5*z + 20 = 5*b, -5*b = -7*z + 4*z - v for b.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((q*q*q/q**(1/5))/(q/((q*q**(-2/15)*q)/q)))**(5/11)/((q/(q*q*q**2)*q/q**(-7))/(q**(-1))**43) assuming q is positive.\n' | b'q**(-1544/33)\n' | b'Simplify ((q*q*q/q**(1/5))/(q/((q*q**(-2/15)*q)/q)))**(5/11)/((q/(q*q*q**2)*q/q**(-7))/(q**(-1))**43) assuming q is positive.\n' | b'q**(-1544/33)\n' | deepmind/math_dataset |
b'Let g(f) = -12*f + 1. Let w = -76 - -187. Suppose -57 - w = 4*y + 4*p, 0 = -5*y - p - 226. Let h = 47 + y. Calculate g(h).\n' | b'-11\n' | b'Let g(f) = -12*f + 1. Let w = -76 - -187. Suppose -57 - w = 4*y + 4*p, 0 = -5*y - p - 226. Let h = 47 + y. Calculate g(h).\n' | b'-11\n' | deepmind/math_dataset |
b'Let c(i) = -763*i**3 - 4*i**2 - 240*i + 5. Let x(k) = -763*k**3 - 5*k**2 - 239*k + 6. Let w(j) = -6*c(j) + 5*x(j). What is the third derivative of w(z) wrt z?\n' | b'4578\n' | b'Let c(i) = -763*i**3 - 4*i**2 - 240*i + 5. Let x(k) = -763*k**3 - 5*k**2 - 239*k + 6. Let w(j) = -6*c(j) + 5*x(j). What is the third derivative of w(z) wrt z?\n' | b'4578\n' | deepmind/math_dataset |
b'Let j = 4330 + -4320. Let m(v) = v**3 - 10*v**2 + 6*v - 14. Calculate m(j).\n' | b'46\n' | b'Let j = 4330 + -4320. Let m(v) = v**3 - 10*v**2 + 6*v - 14. Calculate m(j).\n' | b'46\n' | deepmind/math_dataset |
b'Suppose 4*t + 3*k - 24 = 0, -t + 5*k - 26 = -3*t. Solve 0 = t*r - 4*j + 17, -2*r + 18 = 3*j + 1 for r.\n' | b'1\n' | b'Suppose 4*t + 3*k - 24 = 0, -t + 5*k - 26 = -3*t. Solve 0 = t*r - 4*j + 17, -2*r + 18 = 3*j + 1 for r.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (c*c/((c*(((c*c**1*c*c)/c*c)/c)/c*c)/c)*c)**(1/10)/((c**5*c)/c**6) assuming c is positive.\n' | b'1\n' | b'Simplify (c*c/((c*(((c*c**1*c*c)/c*c)/c)/c*c)/c)*c)**(1/10)/((c**5*c)/c**6) assuming c is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (k**2*k*(k*k/((k**(1/24)/k)/k))/k*k)/(k**16*(k/(((k*k/(k*(k*k**(-10))/k)*k)/k)/k)*k)/k) assuming k is positive.\n' | b'k**(-1/24)\n' | b'Simplify (k**2*k*(k*k/((k**(1/24)/k)/k))/k*k)/(k**16*(k/(((k*k/(k*(k*k**(-10))/k)*k)/k)/k)*k)/k) assuming k is positive.\n' | b'k**(-1/24)\n' | deepmind/math_dataset |
b'Let d(u) = -4*u**2 + 15*u + 5. Let r(g) = 3*g**2 - 10*g - 3. Let j(a) = 5*d(a) + 7*r(a). Give j(-3).\n' | b'-2\n' | b'Let d(u) = -4*u**2 + 15*u + 5. Let r(g) = 3*g**2 - 10*g - 3. Let j(a) = 5*d(a) + 7*r(a). Give j(-3).\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence eoe when three letters picked without replacement from {o: 5, r: 2, e: 8}.\n' | b'4/39\n' | b'Calculate prob of sequence eoe when three letters picked without replacement from {o: 5, r: 2, e: 8}.\n' | b'4/39\n' | deepmind/math_dataset |
b'Let n = -5 - -5. Suppose n = h + 2, 0*h = 2*a - 2*h - 62. Solve -5*o + a - 9 = 5*g, -3*g + 5*o = -4 for g.\n' | b'3\n' | b'Let n = -5 - -5. Suppose n = h + 2, 0*h = 2*a - 2*h - 62. Solve -5*o + a - 9 = 5*g, -3*g + 5*o = -4 for g.\n' | b'3\n' | deepmind/math_dataset |
b'Let s(j) be the third derivative of j**6/120 + j**5/30 - j**4/8 - j**3/2 + 4*j**2. Let l be s(-2). Solve -5*o + 4*z = -25 + 8, l*z = 3*o - 12 for o.\n' | b'1\n' | b'Let s(j) be the third derivative of j**6/120 + j**5/30 - j**4/8 - j**3/2 + 4*j**2. Let l be s(-2). Solve -5*o + 4*z = -25 + 8, l*z = 3*o - 12 for o.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 2 j when two letters picked without replacement from {j: 12, d: 3}?\n' | b'22/35\n' | b'What is prob of picking 2 j when two letters picked without replacement from {j: 12, d: 3}?\n' | b'22/35\n' | deepmind/math_dataset |
b'What is prob of picking 1 v and 1 e when two letters picked without replacement from vevyvyvyv?\n' | b'5/36\n' | b'What is prob of picking 1 v and 1 e when two letters picked without replacement from vevyvyvyv?\n' | b'5/36\n' | deepmind/math_dataset |
b'Simplify (l/(l*l/((l**8*l)/l)))**(-1/78) assuming l is positive.\n' | b'l**(-7/78)\n' | b'Simplify (l/(l*l/((l**8*l)/l)))**(-1/78) assuming l is positive.\n' | b'l**(-7/78)\n' | deepmind/math_dataset |
b'Let o(l) = -l + 2*l**2 - 3*l**2 - 2 + 2*l**2. Let k be (-5)/(-2)*(72/(-15) + 4). Give o(k).\n' | b'4\n' | b'Let o(l) = -l + 2*l**2 - 3*l**2 - 2 + 2*l**2. Let k be (-5)/(-2)*(72/(-15) + 4). Give o(k).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((r/(r*r**(-1/11))*r*r*r**(8/9))/((r/r**10)/((r/r**12*r)/r)))**(2/33) assuming r is positive.\n' | b'r**(194/3267)\n' | b'Simplify ((r/(r*r**(-1/11))*r*r*r**(8/9))/((r/r**10)/((r/r**12*r)/r)))**(2/33) assuming r is positive.\n' | b'r**(194/3267)\n' | deepmind/math_dataset |
b'Let t(o) = -16*o**2 + 464*o + 10. Let a be t(29). Solve -4*g = -18*h + 16*h + 16, -2*g = a for h.\n' | b'-2\n' | b'Let t(o) = -16*o**2 + 464*o + 10. Let a be t(29). Solve -4*g = -18*h + 16*h + 16, -2*g = a for h.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -17*h + 14*h + 78 = 0. Differentiate 3 - 1 - h - 37*t with respect to t.\n' | b'-37\n' | b'Suppose -17*h + 14*h + 78 = 0. Differentiate 3 - 1 - h - 37*t with respect to t.\n' | b'-37\n' | deepmind/math_dataset |
b'Calculate prob of sequence um when two letters picked without replacement from {i: 1, u: 3, t: 10, a: 2, h: 2, m: 2}.\n' | b'3/190\n' | b'Calculate prob of sequence um when two letters picked without replacement from {i: 1, u: 3, t: 10, a: 2, h: 2, m: 2}.\n' | b'3/190\n' | deepmind/math_dataset |
b'Suppose 2*f + 0*f + 2*g = 18, -2*g + 36 = 5*f. Let r(m) = -42*m + 283. Let c be r(f). Solve 5*x = -15, -4*k - c = -0*k + 5*x for k.\n' | b'-4\n' | b'Suppose 2*f + 0*f + 2*g = 18, -2*g + 36 = 5*f. Let r(m) = -42*m + 283. Let c be r(f). Solve 5*x = -15, -4*k - c = -0*k + 5*x for k.\n' | b'-4\n' | deepmind/math_dataset |
b'Let u(z) be the third derivative of 0 + 0*z**4 + 0*z + 2*z**2 + 1/40*z**6 + 1/20*z**5 + 0*z**3. Find the third derivative of u(y) wrt y.\n' | b'18\n' | b'Let u(z) be the third derivative of 0 + 0*z**4 + 0*z + 2*z**2 + 1/40*z**6 + 1/20*z**5 + 0*z**3. Find the third derivative of u(y) wrt y.\n' | b'18\n' | deepmind/math_dataset |
b'Simplify l**(-1)/(l**(1/14)/l)*(l/l**(1/6))/l*l**1 assuming l is positive.\n' | b'l**(16/21)\n' | b'Simplify l**(-1)/(l**(1/14)/l)*(l/l**(1/6))/l*l**1 assuming l is positive.\n' | b'l**(16/21)\n' | deepmind/math_dataset |
b'Let h be 8*(-3 - (-7)/2). Find the first derivative of -4 + 2*t**h + 3*t**4 + 4 - 3 wrt t.\n' | b'20*t**3\n' | b'Let h be 8*(-3 - (-7)/2). Find the first derivative of -4 + 2*t**h + 3*t**4 + 4 - 3 wrt t.\n' | b'20*t**3\n' | deepmind/math_dataset |
b'Suppose 3*q = 3*g - 3, -7 = -q - 5*g + 22. Solve 0 = -5*m - b - 18, 3*m = b - q*b - 18 for m.\n' | b'-3\n' | b'Suppose 3*q = 3*g - 3, -7 = -q - 5*g + 22. Solve 0 = -5*m - b - 18, 3*m = b - q*b - 18 for m.\n' | b'-3\n' | deepmind/math_dataset |
b'Let a(v) = -v**2 + v. Let z(y) = -7*y**2 - 210*y + 216*y + 4*y**3 - 3*y**3 - 6. Let c(h) = -6*a(h) + z(h). Determine c(0).\n' | b'-6\n' | b'Let a(v) = -v**2 + v. Let z(y) = -7*y**2 - 210*y + 216*y + 4*y**3 - 3*y**3 - 6. Let c(h) = -6*a(h) + z(h). Determine c(0).\n' | b'-6\n' | deepmind/math_dataset |
b'Let l = -76 - -79. Let t(x) be the second derivative of x**3/3 + 3*x**2/2 + x. Let v be t(l). Solve 0 = 4*m - 16, v*m - 4*m = 2*s + 20 for s.\n' | b'0\n' | b'Let l = -76 - -79. Let t(x) be the second derivative of x**3/3 + 3*x**2/2 + x. Let v be t(l). Solve 0 = 4*m - 16, v*m - 4*m = 2*s + 20 for s.\n' | b'0\n' | deepmind/math_dataset |
b'Let j(o) = -325*o + 2278. Let g be j(7). Solve -c + 30 = -g*d + 2*c, 30 = -2*d + 4*c for d.\n' | b'-5\n' | b'Let j(o) = -325*o + 2278. Let g be j(7). Solve -c + 30 = -g*d + 2*c, 30 = -2*d + 4*c for d.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of sequence xpl when three letters picked without replacement from {u: 6, x: 1, p: 3, l: 1, y: 2}.\n' | b'1/572\n' | b'Calculate prob of sequence xpl when three letters picked without replacement from {u: 6, x: 1, p: 3, l: 1, y: 2}.\n' | b'1/572\n' | deepmind/math_dataset |
b'What is the third derivative of -p**2 + 7*p**6 + 5*p**2 - p**2 wrt p?\n' | b'840*p**3\n' | b'What is the third derivative of -p**2 + 7*p**6 + 5*p**2 - p**2 wrt p?\n' | b'840*p**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ooookvoikofi. Give prob of sequence oo.\n' | b'5/22\n' | b'Two letters picked without replacement from ooookvoikofi. Give prob of sequence oo.\n' | b'5/22\n' | deepmind/math_dataset |
b'Let x(d) = -11 + 41 - 70*d - 31 + 18*d**2. Give x(4).\n' | b'7\n' | b'Let x(d) = -11 + 41 - 70*d - 31 + 18*d**2. Give x(4).\n' | b'7\n' | deepmind/math_dataset |
b'Simplify (q*q**(-41))/(q*q/(q*q/q**14))*((q**(1/57)/q)/q)**(-19/5) assuming q is positive.\n' | b'q**(-697/15)\n' | b'Simplify (q*q**(-41))/(q*q/(q*q/q**14))*((q**(1/57)/q)/q)**(-19/5) assuming q is positive.\n' | b'q**(-697/15)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from aqqaamtaqmqtmt. What is prob of sequence tq?\n' | b'6/91\n' | b'Two letters picked without replacement from aqqaamtaqmqtmt. What is prob of sequence tq?\n' | b'6/91\n' | deepmind/math_dataset |
b'Simplify p**(2/33)/p**(1/2)*(p**(-3/2))**(2/107) assuming p is positive.\n' | b'p**(-3301/7062)\n' | b'Simplify p**(2/33)/p**(1/2)*(p**(-3/2))**(2/107) assuming p is positive.\n' | b'p**(-3301/7062)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 z, 1 e, and 2 t when four letters picked without replacement from izetz.\n' | b'0\n' | b'Calculate prob of picking 1 z, 1 e, and 2 t when four letters picked without replacement from izetz.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 7, e: 6, o: 1, t: 1}. Give prob of sequence tj.\n' | b'1/30\n' | b'Two letters picked without replacement from {j: 7, e: 6, o: 1, t: 1}. Give prob of sequence tj.\n' | b'1/30\n' | deepmind/math_dataset |
b'Suppose 22 = 10*s + s. Find the second derivative of -6*a**s + 5*a**2 + 17*a - 6*a**2 - 13*a**2 wrt a.\n' | b'-40\n' | b'Suppose 22 = 10*s + s. Find the second derivative of -6*a**s + 5*a**2 + 17*a - 6*a**2 - 13*a**2 wrt a.\n' | b'-40\n' | deepmind/math_dataset |
b'Simplify z**(-9)/z**(2/7) assuming z is positive.\n' | b'z**(-65/7)\n' | b'Simplify z**(-9)/z**(2/7) assuming z is positive.\n' | b'z**(-65/7)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {d: 2, i: 2, t: 1, k: 4}. What is prob of sequence kdd?\n' | b'1/63\n' | b'Three letters picked without replacement from {d: 2, i: 2, t: 1, k: 4}. What is prob of sequence kdd?\n' | b'1/63\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 p when four letters picked without replacement from ppppvvvp.\n' | b'1/14\n' | b'Calculate prob of picking 4 p when four letters picked without replacement from ppppvvvp.\n' | b'1/14\n' | deepmind/math_dataset |
b'Simplify ((x/x**(1/5))/(x*x**(-1/3)))**30*((x/x**(3/2))/(x**(-2/9)/x))/(x**(-4/5)*x/x**(-4)) assuming x is positive.\n' | b'x**(47/90)\n' | b'Simplify ((x/x**(1/5))/(x*x**(-1/3)))**30*((x/x**(3/2))/(x**(-2/9)/x))/(x**(-4/5)*x/x**(-4)) assuming x is positive.\n' | b'x**(47/90)\n' | deepmind/math_dataset |
b'Let h(q) = -2*q**3 - 4*q**2 - 3*q + 3. Let b be h(-2). Suppose -10*d + 61 = -b. Suppose -3*u + d*u - 8 = 0. Let a(o) = 2*o - 1. What is a(u)?\n' | b'3\n' | b'Let h(q) = -2*q**3 - 4*q**2 - 3*q + 3. Let b be h(-2). Suppose -10*d + 61 = -b. Suppose -3*u + d*u - 8 = 0. Let a(o) = 2*o - 1. What is a(u)?\n' | b'3\n' | deepmind/math_dataset |
b'Let p be (-1)/(-2)*(-2)/(-1). Let t(b) = -2035 - 2011 + 4047. Let k(m) = 17*m**2 + 16. Let o(j) = p*k(j) + 5*t(j). Find the first derivative of o(s) wrt s.\n' | b'34*s\n' | b'Let p be (-1)/(-2)*(-2)/(-1). Let t(b) = -2035 - 2011 + 4047. Let k(m) = 17*m**2 + 16. Let o(j) = p*k(j) + 5*t(j). Find the first derivative of o(s) wrt s.\n' | b'34*s\n' | deepmind/math_dataset |
b'Let o be (-20)/(-25) - 282/(-10). Let a = o + -33. Let d be 3/((-18)/a)*-3 - -8. Solve -5*q + 2*q - 21 = -4*w, w = q + d for w.\n' | b'3\n' | b'Let o be (-20)/(-25) - 282/(-10). Let a = o + -33. Let d be 3/((-18)/a)*-3 - -8. Solve -5*q + 2*q - 21 = -4*w, w = q + d for w.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify z*z**(-21)*z/(z/z**(-15)) assuming z is positive.\n' | b'z**(-35)\n' | b'Simplify z*z**(-21)*z/(z/z**(-15)) assuming z is positive.\n' | b'z**(-35)\n' | deepmind/math_dataset |
b'Let j(n) be the second derivative of 2*n**3/3 + n**2/2 + n. Let k = 19965 - 19963. What is j(k)?\n' | b'9\n' | b'Let j(n) be the second derivative of 2*n**3/3 + n**2/2 + n. Let k = 19965 - 19963. What is j(k)?\n' | b'9\n' | deepmind/math_dataset |
b'Suppose 3*u = -2*n + 14, -20*u = -18*u + 5*n - 2. Let i be u*((-78)/12 - -7). Solve 6 = -3*k - i, -3*c + 2*k = 6 for c.\n' | b'-4\n' | b'Suppose 3*u = -2*n + 14, -20*u = -18*u + 5*n - 2. Let i be u*((-78)/12 - -7). Solve 6 = -3*k - i, -3*c + 2*k = 6 for c.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 6*c - 1111 = -1087. What is the third derivative of u**2 - 42 + 103 + 46 + 68 + 58*u**4 + 136*u**c wrt u?\n' | b'4656*u\n' | b'Suppose 6*c - 1111 = -1087. What is the third derivative of u**2 - 42 + 103 + 46 + 68 + 58*u**4 + 136*u**c wrt u?\n' | b'4656*u\n' | deepmind/math_dataset |
b'Let d(c) be the first derivative of -c**4/2 - 19*c**3/3 - 7*c**2/2 + 20*c + 1657. Determine d(-9).\n' | b'2\n' | b'Let d(c) be the first derivative of -c**4/2 - 19*c**3/3 - 7*c**2/2 + 20*c + 1657. Determine d(-9).\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence sg when two letters picked without replacement from ggsssjd?\n' | b'1/7\n' | b'What is prob of sequence sg when two letters picked without replacement from ggsssjd?\n' | b'1/7\n' | deepmind/math_dataset |
b'What is prob of picking 1 g and 1 c when two letters picked without replacement from {g: 1, t: 4, c: 2, d: 1}?\n' | b'1/14\n' | b'What is prob of picking 1 g and 1 c when two letters picked without replacement from {g: 1, t: 4, c: 2, d: 1}?\n' | b'1/14\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nunnunnhuu. Give prob of picking 2 n, 1 u, and 1 h.\n' | b'4/21\n' | b'Four letters picked without replacement from nunnunnhuu. Give prob of picking 2 n, 1 u, and 1 h.\n' | b'4/21\n' | deepmind/math_dataset |
b'Suppose 7*s - 3 + 17 = 0. Let r(c) = -c - 1. Calculate r(s).\n' | b'1\n' | b'Suppose 7*s - 3 + 17 = 0. Let r(c) = -c - 1. Calculate r(s).\n' | b'1\n' | deepmind/math_dataset |
b'Let v(k) be the second derivative of 0 - 1/6*k**4 + 48*k + 37/6*k**3 - 1/20*k**5 + 0*k**2. What is the third derivative of v(a) wrt a?\n' | b'-6\n' | b'Let v(k) be the second derivative of 0 - 1/6*k**4 + 48*k + 37/6*k**3 - 1/20*k**5 + 0*k**2. What is the third derivative of v(a) wrt a?\n' | b'-6\n' | deepmind/math_dataset |
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