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 = -7*m + 96 + 9. Let o be (-2 - (-24)/m)*(-100)/8. Let j(u) = u**3 + 6*u + 4*u**2 - 4 + 3*u**3 - 5*u**3. Calculate j(o).\n' | b'1\n' | b'Suppose 0 = -7*m + 96 + 9. Let o be (-2 - (-24)/m)*(-100)/8. Let j(u) = u**3 + 6*u + 4*u**2 - 4 + 3*u**3 - 5*u**3. Calculate j(o).\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from lwsslwwswssl. Give prob of picking 2 l and 1 w.\n' | b'3/55\n' | b'Three letters picked without replacement from lwsslwwswssl. Give prob of picking 2 l and 1 w.\n' | b'3/55\n' | deepmind/math_dataset |
b'Let c(x) = -5*x**3 + 4*x**2 + x + 2. Let p(a) = a**3 + a - 1. Let z be ((-24)/(-3 - -1))/1. Suppose t + 2*t = z. Let l(y) = t*p(y) + c(y). Calculate l(5).\n' | b'-2\n' | b'Let c(x) = -5*x**3 + 4*x**2 + x + 2. Let p(a) = a**3 + a - 1. Let z be ((-24)/(-3 - -1))/1. Suppose t + 2*t = z. Let l(y) = t*p(y) + c(y). Calculate l(5).\n' | b'-2\n' | deepmind/math_dataset |
b'What is the second derivative of -4*j**2 + 4*j**2 + j + j**2 wrt j?\n' | b'2\n' | b'What is the second derivative of -4*j**2 + 4*j**2 + j + j**2 wrt j?\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -d = 3*y - 4*d, -3*y = 3*d + 6. Let h = 3 + y. Suppose -h*j = -j. Solve -m + 10 = 3*o, j = 5*m - o - 14 - 4 for m.\n' | b'4\n' | b'Suppose -d = 3*y - 4*d, -3*y = 3*d + 6. Let h = 3 + y. Suppose -h*j = -j. Solve -m + 10 = 3*o, j = 5*m - o - 14 - 4 for m.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify j/(j**(-1/17)*j)*j*j/j**(-1/4) assuming j is positive.\n' | b'j**(157/68)\n' | b'Simplify j/(j**(-1/17)*j)*j*j/j**(-1/4) assuming j is positive.\n' | b'j**(157/68)\n' | deepmind/math_dataset |
b'Suppose -2*t = n + 3, 5*n - 24 = 4*t - t. Solve 5*j = x - 15, -2*x + n*j = 3*x + 13 for x.\n' | b'-5\n' | b'Suppose -2*t = n + 3, 5*n - 24 = 4*t - t. Solve 5*j = x - 15, -2*x + n*j = 3*x + 13 for x.\n' | b'-5\n' | deepmind/math_dataset |
b'Let l(u) = 5*u**3 - 5*u**2. Let c be l(2). Solve -2*m + 5*b = 25, -4*b = 6*m - m - c for m.\n' | b'0\n' | b'Let l(u) = 5*u**3 - 5*u**2. Let c be l(2). Solve -2*m + 5*b = 25, -4*b = 6*m - m - c for m.\n' | b'0\n' | deepmind/math_dataset |
b'Let a(u) = -8*u - 227. Suppose 15*w + 551 = -4*w. Let d be a(w). Let c(q) be the first derivative of q**2 - 7*q - 1. What is c(d)?\n' | b'3\n' | b'Let a(u) = -8*u - 227. Suppose 15*w + 551 = -4*w. Let d be a(w). Let c(q) be the first derivative of q**2 - 7*q - 1. What is c(d)?\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (((f/(f*f**(-11)*f))/(f/(f**(-2/27)/f)))/((((f/f**(2/21))/f)/f)/(f/f**(2/5))))**(1/15) assuming f is positive.\n' | b'f**(9092/14175)\n' | b'Simplify (((f/(f*f**(-11)*f))/(f/(f**(-2/27)/f)))/((((f/f**(2/21))/f)/f)/(f/f**(2/5))))**(1/15) assuming f is positive.\n' | b'f**(9092/14175)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ddt when three letters picked without replacement from {t: 1, d: 2, l: 1}.\n' | b'1/12\n' | b'Calculate prob of sequence ddt when three letters picked without replacement from {t: 1, d: 2, l: 1}.\n' | b'1/12\n' | deepmind/math_dataset |
b'What is prob of picking 1 q, 2 r, and 1 u when four letters picked without replacement from {u: 4, r: 2, t: 1, q: 2, d: 1, j: 2}?\n' | b'8/495\n' | b'What is prob of picking 1 q, 2 r, and 1 u when four letters picked without replacement from {u: 4, r: 2, t: 1, q: 2, d: 1, j: 2}?\n' | b'8/495\n' | deepmind/math_dataset |
b'Simplify (k*k*((k*k*((k/(k**(-1/2)*k*k*k))/k)/k)/k)/k)**(8/9) assuming k is positive.\n' | b'k**(-4/3)\n' | b'Simplify (k*k*((k*k*((k/(k**(-1/2)*k*k*k))/k)/k)/k)/k)**(8/9) assuming k is positive.\n' | b'k**(-4/3)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ihi when three letters picked without replacement from {g: 1, h: 1, i: 9}.\n' | b'4/55\n' | b'Calculate prob of sequence ihi when three letters picked without replacement from {g: 1, h: 1, i: 9}.\n' | b'4/55\n' | deepmind/math_dataset |
b'Let t(q) be the third derivative of -511*q**4/12 + 415*q**3/3 - 7*q**2 + 6*q. Differentiate t(o) with respect to o.\n' | b'-1022\n' | b'Let t(q) be the third derivative of -511*q**4/12 + 415*q**3/3 - 7*q**2 + 6*q. Differentiate t(o) with respect to o.\n' | b'-1022\n' | deepmind/math_dataset |
b'Let v = -226 - -226. Solve v = 2*a - 5*m + 31, -a = 3*m + 2*m - 22 for a.\n' | b'-3\n' | b'Let v = -226 - -226. Solve v = 2*a - 5*m + 31, -a = 3*m + 2*m - 22 for a.\n' | b'-3\n' | deepmind/math_dataset |
b'Let k = 0 + 0. Let v be (k + 4 + -2)*20. Suppose 4*j - 13 = 5*b - v, 0 = -b - j. Solve 2*s = -b*x - 2*s, 0 = -4*x - 4*s for x.\n' | b'0\n' | b'Let k = 0 + 0. Let v be (k + 4 + -2)*20. Suppose 4*j - 13 = 5*b - v, 0 = -b - j. Solve 2*s = -b*x - 2*s, 0 = -4*x - 4*s for x.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of sequence ier when three letters picked without replacement from {c: 1, w: 5, r: 3, e: 1, i: 2}?\n' | b'1/220\n' | b'What is prob of sequence ier when three letters picked without replacement from {c: 1, w: 5, r: 3, e: 1, i: 2}?\n' | b'1/220\n' | deepmind/math_dataset |
b'Let y be (1/(-1))/(1/(-3)). Let u(a) be the first derivative of -11*a**y + 7*a**3 - 5 + 2*a**3 + a**6. What is the third derivative of u(h) wrt h?\n' | b'360*h**2\n' | b'Let y be (1/(-1))/(1/(-3)). Let u(a) be the first derivative of -11*a**y + 7*a**3 - 5 + 2*a**3 + a**6. What is the third derivative of u(h) wrt h?\n' | b'360*h**2\n' | deepmind/math_dataset |
b'Let s(x) = -558*x**4 - 6*x**3 + 171*x**2 + 4*x + 1. Let u(j) = -j**4 - j**3 + 6*j**2 + 2*j. Let o(v) = s(v) - 6*u(v). Find the third derivative of o(y) wrt y.\n' | b'-13248*y\n' | b'Let s(x) = -558*x**4 - 6*x**3 + 171*x**2 + 4*x + 1. Let u(j) = -j**4 - j**3 + 6*j**2 + 2*j. Let o(v) = s(v) - 6*u(v). Find the third derivative of o(y) wrt y.\n' | b'-13248*y\n' | deepmind/math_dataset |
b'Two letters picked without replacement from neossneennwd. What is prob of sequence we?\n' | b'1/44\n' | b'Two letters picked without replacement from neossneennwd. What is prob of sequence we?\n' | b'1/44\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zgfbkqzfq. Give prob of picking 1 f and 1 g.\n' | b'1/18\n' | b'Two letters picked without replacement from zgfbkqzfq. Give prob of picking 1 f and 1 g.\n' | b'1/18\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vvvvvpvvppxpaavv. What is prob of sequence xp?\n' | b'1/60\n' | b'Two letters picked without replacement from vvvvvpvvppxpaavv. What is prob of sequence xp?\n' | b'1/60\n' | deepmind/math_dataset |
b'Suppose -41 = -5*j - 5*w + 19, -2*j + 5*w = 4. Solve h - 2 = 5*d, 3*d - j = -4*h - 2*d for h.\n' | b'2\n' | b'Suppose -41 = -5*j - 5*w + 19, -2*j + 5*w = 4. Solve h - 2 = 5*d, 3*d - j = -4*h - 2*d for h.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((x**(-5/2)/x)**(17/6)/(x*x/((x**(-3/7)/x)/x*x)*(x**(-18)*x)/x))**(-2/13) assuming x is positive.\n' | b'x**(-391/546)\n' | b'Simplify ((x**(-5/2)/x)**(17/6)/(x*x/((x**(-3/7)/x)/x*x)*(x**(-18)*x)/x))**(-2/13) assuming x is positive.\n' | b'x**(-391/546)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {r: 13, m: 5}. What is prob of sequence rmm?\n' | b'65/1224\n' | b'Three letters picked without replacement from {r: 13, m: 5}. What is prob of sequence rmm?\n' | b'65/1224\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 y and 1 f when four letters picked without replacement from fyyyyyff.\n' | b'3/7\n' | b'Calculate prob of picking 3 y and 1 f when four letters picked without replacement from fyyyyyff.\n' | b'3/7\n' | deepmind/math_dataset |
b'Let s(y) = -7*y**2 + 4*y + 5. Let g(w) = 4 - 3*w + 5*w + 6*w - 6*w**2 - 4*w. Let a(n) = -6*g(n) + 5*s(n). Let f(x) be the first derivative of a(x). Give f(5).\n' | b'6\n' | b'Let s(y) = -7*y**2 + 4*y + 5. Let g(w) = 4 - 3*w + 5*w + 6*w - 6*w**2 - 4*w. Let a(n) = -6*g(n) + 5*s(n). Let f(x) be the first derivative of a(x). Give f(5).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify ((y*y**(-4/9)/y)/y**(-29))**50 assuming y is positive.\n' | b'y**(12850/9)\n' | b'Simplify ((y*y**(-4/9)/y)/y**(-29))**50 assuming y is positive.\n' | b'y**(12850/9)\n' | deepmind/math_dataset |
b'Let w(v) = v - 6 + 9 + 2*v. Let f be ((-7)/(-2) + -2)*-2. Give w(f).\n' | b'-6\n' | b'Let w(v) = v - 6 + 9 + 2*v. Let f be ((-7)/(-2) + -2)*-2. Give w(f).\n' | b'-6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 5, s: 7, z: 7}. Give prob of picking 2 v.\n' | b'10/171\n' | b'Two letters picked without replacement from {v: 5, s: 7, z: 7}. Give prob of picking 2 v.\n' | b'10/171\n' | deepmind/math_dataset |
b'Let s be -9*(10/(-12))/(6/24). Suppose s*a + 23 = 31*a. What is the derivative of -2 + 8 - 29*m - a*m + 14*m wrt m?\n' | b'-38\n' | b'Let s be -9*(10/(-12))/(6/24). Suppose s*a + 23 = 31*a. What is the derivative of -2 + 8 - 29*m - a*m + 14*m wrt m?\n' | b'-38\n' | deepmind/math_dataset |
b'Three letters picked without replacement from kwwxkkvwwikwwkwww. Give prob of sequence kxw.\n' | b'3/272\n' | b'Three letters picked without replacement from kwwxkkvwwikwwkwww. Give prob of sequence kxw.\n' | b'3/272\n' | deepmind/math_dataset |
b'Two letters picked without replacement from fooiyyfifofeoieeyo. Give prob of sequence ff.\n' | b'2/51\n' | b'Two letters picked without replacement from fooiyyfifofeoieeyo. Give prob of sequence ff.\n' | b'2/51\n' | deepmind/math_dataset |
b'Let i(p) = 23*p**3 - 32*p**3 - 3*p - 1 + p**2 + 11*p**3. Calculate i(-2).\n' | b'-7\n' | b'Let i(p) = 23*p**3 - 32*p**3 - 3*p - 1 + p**2 + 11*p**3. Calculate i(-2).\n' | b'-7\n' | deepmind/math_dataset |
b'Suppose 3*d = 7 + 2. Suppose 20 = r - 3*y, -5*r - d*y = -2*y - 84. Suppose -5*q + 137 = r. Solve -q = -2*p + 4*g, -p + 5*p = -4*g for p.\n' | b'4\n' | b'Suppose 3*d = 7 + 2. Suppose 20 = r - 3*y, -5*r - d*y = -2*y - 84. Suppose -5*q + 137 = r. Solve -q = -2*p + 4*g, -p + 5*p = -4*g for p.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 4*t = -5*l - 42, 17*l - 16*l + 12 = -2*t. Let x(g) = g**2 + 6*g + 9. Give x(l).\n' | b'9\n' | b'Suppose 4*t = -5*l - 42, 17*l - 16*l + 12 = -2*t. Let x(g) = g**2 + 6*g + 9. Give x(l).\n' | b'9\n' | deepmind/math_dataset |
b'Suppose 3*k - k = -14. Suppose -17*r + 8312 + 953 = 0. Let l(d) = 0*d + r - 535 + 2*d. Calculate l(k).\n' | b'-4\n' | b'Suppose 3*k - k = -14. Suppose -17*r + 8312 + 953 = 0. Let l(d) = 0*d + r - 535 + 2*d. Calculate l(k).\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {e: 4, p: 3}. Give prob of picking 4 e.\n' | b'1/35\n' | b'Four letters picked without replacement from {e: 4, p: 3}. Give prob of picking 4 e.\n' | b'1/35\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 6, n: 6}. What is prob of sequence nana?\n' | b'5/66\n' | b'Four letters picked without replacement from {a: 6, n: 6}. What is prob of sequence nana?\n' | b'5/66\n' | deepmind/math_dataset |
b'Let r be 1*11/(33/6). Solve -a - 2*a + 3 = -h, r*h - 2 = -2*a for h.\n' | b'0\n' | b'Let r be 1*11/(33/6). Solve -a - 2*a + 3 = -h, r*h - 2 = -2*a for h.\n' | b'0\n' | deepmind/math_dataset |
b'What is the derivative of -277*a - 257*a - 27*a - 798 - 2871 - 3*a**2 wrt a?\n' | b'-6*a - 561\n' | b'What is the derivative of -277*a - 257*a - 27*a - 798 - 2871 - 3*a**2 wrt a?\n' | b'-6*a - 561\n' | deepmind/math_dataset |
b'Let c be 124/(-217) - (-11)/7. Let y be c*(-1 - (-1 + -5)). Solve 3*s = -s + 5*x + y, -2*x + 15 = -5*s for s.\n' | b'-5\n' | b'Let c be 124/(-217) - (-11)/7. Let y be c*(-1 - (-1 + -5)). Solve 3*s = -s + 5*x + y, -2*x + 15 = -5*s for s.\n' | b'-5\n' | deepmind/math_dataset |
b'Let z(d) be the third derivative of d**7/35 + 2*d**6/5 - 211*d**3/2 + 429*d**2. What is the derivative of z(x) wrt x?\n' | b'24*x**3 + 144*x**2\n' | b'Let z(d) be the third derivative of d**7/35 + 2*d**6/5 - 211*d**3/2 + 429*d**2. What is the derivative of z(x) wrt x?\n' | b'24*x**3 + 144*x**2\n' | deepmind/math_dataset |
b'Let f = -51 + 56. Suppose 0 = -i - 3*i + 20. Solve c + 13 = 4*z + 2*c, 5*z + i*c - f = 0 for z.\n' | b'4\n' | b'Let f = -51 + 56. Suppose 0 = -i - 3*i + 20. Solve c + 13 = 4*z + 2*c, 5*z + i*c - f = 0 for z.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((y*y**(4/9))**(-47)*(y/(y**(-6/5)/y))/(y**(-4/11)*y))**(3/16) assuming y is positive.\n' | b'y**(-2021/165)\n' | b'Simplify ((y*y**(4/9))**(-47)*(y/(y**(-6/5)/y))/(y**(-4/11)*y))**(3/16) assuming y is positive.\n' | b'y**(-2021/165)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ljlljljllljllljlll. What is prob of picking 2 l?\n' | b'26/51\n' | b'Two letters picked without replacement from ljlljljllljllljlll. What is prob of picking 2 l?\n' | b'26/51\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kkkkkkakak. Give prob of picking 2 a.\n' | b'1/45\n' | b'Two letters picked without replacement from kkkkkkakak. Give prob of picking 2 a.\n' | b'1/45\n' | deepmind/math_dataset |
b'Suppose -3*m = -5*y - 4, 4*y + 2*m - 3 - 7 = 0. Let f = y - -5. Let i(g) = -g + 6. What is i(f)?\n' | b'0\n' | b'Suppose -3*m = -5*y - 4, 4*y + 2*m - 3 - 7 = 0. Let f = y - -5. Let i(g) = -g + 6. What is i(f)?\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t and 3 z when four letters picked without replacement from tzzzzzztztztzzzt.\n' | b'165/364\n' | b'Calculate prob of picking 1 t and 3 z when four letters picked without replacement from tzzzzzztztztzzzt.\n' | b'165/364\n' | deepmind/math_dataset |
b'What is prob of picking 1 b and 1 o when two letters picked without replacement from obzfojzvzjjzjv?\n' | b'2/91\n' | b'What is prob of picking 1 b and 1 o when two letters picked without replacement from obzfojzvzjjzjv?\n' | b'2/91\n' | deepmind/math_dataset |
b'Let b(s) be the first derivative of 8153*s**3/3 - 7424*s**2 + 14283. Find the second derivative of b(u) wrt u.\n' | b'16306\n' | b'Let b(s) be the first derivative of 8153*s**3/3 - 7424*s**2 + 14283. Find the second derivative of b(u) wrt u.\n' | b'16306\n' | deepmind/math_dataset |
b'Calculate prob of sequence ujj when three letters picked without replacement from kfffuujjtkjjjf.\n' | b'5/273\n' | b'Calculate prob of sequence ujj when three letters picked without replacement from kfffuujjtkjjjf.\n' | b'5/273\n' | deepmind/math_dataset |
b'Let a(s) = s**3 + 3*s**2 - 13*s + 7. Let y be a(-5). Solve 4*i = -5*z - 40, y = -3*i + i - 3*z for i.\n' | b'-5\n' | b'Let a(s) = s**3 + 3*s**2 - 13*s + 7. Let y be a(-5). Solve 4*i = -5*z - 40, y = -3*i + i - 3*z for i.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (y/((y*y**(-8))/y)*y)**(-7)*y*(y**(-4/13)*y)/y*y**21 assuming y is positive.\n' | b'y**(-628/13)\n' | b'Simplify (y/((y*y**(-8))/y)*y)**(-7)*y*(y**(-4/13)*y)/y*y**21 assuming y is positive.\n' | b'y**(-628/13)\n' | deepmind/math_dataset |
b'Simplify ((((w/(w/(w/(w/w**(-7)))))/w**(-10))**6)**(-49))**(-27) assuming w is positive.\n' | b'w**23814\n' | b'Simplify ((((w/(w/(w/(w/w**(-7)))))/w**(-10))**6)**(-49))**(-27) assuming w is positive.\n' | b'w**23814\n' | deepmind/math_dataset |
b'Simplify ((((s*s*s*s**(-2/7)*s*s)/s)/(s**8*s))**(-17))**(2/7) assuming s is positive.\n' | b's**(1258/49)\n' | b'Simplify ((((s*s*s*s**(-2/7)*s*s)/s)/(s**8*s))**(-17))**(2/7) assuming s is positive.\n' | b's**(1258/49)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 13, u: 5, r: 2}. Give prob of sequence ru.\n' | b'1/38\n' | b'Two letters picked without replacement from {a: 13, u: 5, r: 2}. Give prob of sequence ru.\n' | b'1/38\n' | deepmind/math_dataset |
b'Let i(j) = -j**3 + 6*j**2 + 4*j - 6. Let l be i(6). Suppose -l*t + 3 = -17*t. What is the third derivative of -4*n**t + 5*n**2 - 4*n**3 - 3*n**2 wrt n?\n' | b'-48\n' | b'Let i(j) = -j**3 + 6*j**2 + 4*j - 6. Let l be i(6). Suppose -l*t + 3 = -17*t. What is the third derivative of -4*n**t + 5*n**2 - 4*n**3 - 3*n**2 wrt n?\n' | b'-48\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {s: 5, x: 2, n: 4}. What is prob of picking 1 x and 3 s?\n' | b'2/33\n' | b'Four letters picked without replacement from {s: 5, x: 2, n: 4}. What is prob of picking 1 x and 3 s?\n' | b'2/33\n' | deepmind/math_dataset |
b'Suppose 3*o - 5*s - 36 = 0, -3*o + 15 = -2*s - 12. Let q(y) = -13*y + 12*y - 12 - o + 5. Give q(-9).\n' | b'-5\n' | b'Suppose 3*o - 5*s - 36 = 0, -3*o + 15 = -2*s - 12. Let q(y) = -13*y + 12*y - 12 - o + 5. Give q(-9).\n' | b'-5\n' | deepmind/math_dataset |
b'Let t(u) be the third derivative of 3*u**9/7 + u**6/120 + 59*u**5/4 + 31*u**2. What is the third derivative of t(b) wrt b?\n' | b'25920*b**3 + 6\n' | b'Let t(u) be the third derivative of 3*u**9/7 + u**6/120 + 59*u**5/4 + 31*u**2. What is the third derivative of t(b) wrt b?\n' | b'25920*b**3 + 6\n' | deepmind/math_dataset |
b'Let s(n) be the first derivative of -6*n**7/7 - 17*n**6/3 + 2*n**3/3 - 183*n**2/2 - 47. What is the third derivative of s(y) wrt y?\n' | b'-720*y**3 - 2040*y**2\n' | b'Let s(n) be the first derivative of -6*n**7/7 - 17*n**6/3 + 2*n**3/3 - 183*n**2/2 - 47. What is the third derivative of s(y) wrt y?\n' | b'-720*y**3 - 2040*y**2\n' | deepmind/math_dataset |
b'Let d(w) = -w - 2. Suppose 3*r - 5*g = 145, 0*r - 75 = -2*r - g. Let k be (1 - -4)*64/r. Suppose 4*o + 2*y = 24, -2*o - 2*y + k = -2. Calculate d(o).\n' | b'-9\n' | b'Let d(w) = -w - 2. Suppose 3*r - 5*g = 145, 0*r - 75 = -2*r - g. Let k be (1 - -4)*64/r. Suppose 4*o + 2*y = 24, -2*o - 2*y + k = -2. Calculate d(o).\n' | b'-9\n' | deepmind/math_dataset |
b'Let a(b) be the second derivative of -5/2*b**2 - 1/12*b**4 + 0 + b - 11/6*b**3. Let r = -96706 - -96702. Calculate a(r).\n' | b'23\n' | b'Let a(b) be the second derivative of -5/2*b**2 - 1/12*b**4 + 0 + b - 11/6*b**3. Let r = -96706 - -96702. Calculate a(r).\n' | b'23\n' | deepmind/math_dataset |
b'Let z(b) = b**3 + 10*b**2 + 2. Let p be z(-10). Differentiate 0 + 0*a**p + 1 - a**2 wrt a.\n' | b'-2*a\n' | b'Let z(b) = b**3 + 10*b**2 + 2. Let p be z(-10). Differentiate 0 + 0*a**p + 1 - a**2 wrt a.\n' | b'-2*a\n' | deepmind/math_dataset |
b'Suppose -53*a + 56*a + 6 = 0. Let v(b) = -7*b**3 - 6*b**2 + 7*b + 2. Let f(m) = -12*m**3 - 11*m**2 + 12*m + 3. Let j(t) = -3*f(t) + 5*v(t). Calculate j(a).\n' | b'7\n' | b'Suppose -53*a + 56*a + 6 = 0. Let v(b) = -7*b**3 - 6*b**2 + 7*b + 2. Let f(m) = -12*m**3 - 11*m**2 + 12*m + 3. Let j(t) = -3*f(t) + 5*v(t). Calculate j(a).\n' | b'7\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 h when two letters picked without replacement from {h: 10, f: 9}.\n' | b'5/19\n' | b'Calculate prob of picking 2 h when two letters picked without replacement from {h: 10, f: 9}.\n' | b'5/19\n' | deepmind/math_dataset |
b'Let n(h) be the first derivative of 1 + 1/3*h**3 + h + 2*h**2. Determine n(-3).\n' | b'-2\n' | b'Let n(h) be the first derivative of 1 + 1/3*h**3 + h + 2*h**2. Determine n(-3).\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {z: 2, l: 2, y: 1, u: 1, o: 1, r: 2}. Give prob of sequence zyz.\n' | b'1/252\n' | b'Three letters picked without replacement from {z: 2, l: 2, y: 1, u: 1, o: 1, r: 2}. Give prob of sequence zyz.\n' | b'1/252\n' | deepmind/math_dataset |
b'Suppose 0 = 3*k + 5*f + 17, 4*f + 16 = -0. Solve v + 5 - k = 2*z, -3*z - 2*v = -20 for z.\n' | b'4\n' | b'Suppose 0 = 3*k + 5*f + 17, 4*f + 16 = -0. Solve v + 5 - k = 2*z, -3*z - 2*v = -20 for z.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (b*((b**(1/11)*b)/b)/b*b**(-1/13))**(-1/7) assuming b is positive.\n' | b'b**(-2/1001)\n' | b'Simplify (b*((b**(1/11)*b)/b)/b*b**(-1/13))**(-1/7) assuming b is positive.\n' | b'b**(-2/1001)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from uuuuu. What is prob of sequence uuuu?\n' | b'1\n' | b'Four letters picked without replacement from uuuuu. What is prob of sequence uuuu?\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((l**(-15/8)*l)/l**(-10))**(-2/5) assuming l is positive.\n' | b'l**(-73/20)\n' | b'Simplify ((l**(-15/8)*l)/l**(-10))**(-2/5) assuming l is positive.\n' | b'l**(-73/20)\n' | deepmind/math_dataset |
b'Simplify (q/(q*q/(q**(-1)*q)))**(-35)/(q**(-1/3)/q**1) assuming q is positive.\n' | b'q**(109/3)\n' | b'Simplify (q/(q*q/(q**(-1)*q)))**(-35)/(q**(-1/3)/q**1) assuming q is positive.\n' | b'q**(109/3)\n' | deepmind/math_dataset |
b'Simplify ((n**1*n)**1*n**(-1/11)/(n*n/(n/(n**7*n))))**(1/8) assuming n is positive.\n' | b'n**(-39/44)\n' | b'Simplify ((n**1*n)**1*n**(-1/11)/(n*n/(n/(n**7*n))))**(1/8) assuming n is positive.\n' | b'n**(-39/44)\n' | deepmind/math_dataset |
b'Let y(d) = 3*d + 68. Let i be y(-21). Let v be 1/(-2)*(2 + 0). Let c be ((-1)/v)/((-2)/(-18)). Solve 5*s + i = a, -2*s + 6 = 3*a - c for s.\n' | b'0\n' | b'Let y(d) = 3*d + 68. Let i be y(-21). Let v be 1/(-2)*(2 + 0). Let c be ((-1)/v)/((-2)/(-18)). Solve 5*s + i = a, -2*s + 6 = 3*a - c for s.\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from vffvfvffvffvff. Give prob of picking 2 f and 2 v.\n' | b'360/1001\n' | b'Four letters picked without replacement from vffvfvffvffvff. Give prob of picking 2 f and 2 v.\n' | b'360/1001\n' | deepmind/math_dataset |
b'Let n(k) = k**3 - 13*k**2 + 7*k - 64. Let z(t) = t**3 - 12*t**2 + 5*t - 55. Let j(d) = -4*n(d) + 5*z(d). Determine j(8).\n' | b'-43\n' | b'Let n(k) = k**3 - 13*k**2 + 7*k - 64. Let z(t) = t**3 - 12*t**2 + 5*t - 55. Let j(d) = -4*n(d) + 5*z(d). Determine j(8).\n' | b'-43\n' | deepmind/math_dataset |
b'Let i(g) = g**3 + g**2 + g - 4. Let j(w) = 68*w**3. Let q be j(1). Let t(o) = -5 + 0 - q*o - 1 + 66*o. Let y be t(-3). Determine i(y).\n' | b'-4\n' | b'Let i(g) = g**3 + g**2 + g - 4. Let j(w) = 68*w**3. Let q be j(1). Let t(o) = -5 + 0 - q*o - 1 + 66*o. Let y be t(-3). Determine i(y).\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence jm when two letters picked without replacement from {j: 2, m: 2}?\n' | b'1/3\n' | b'What is prob of sequence jm when two letters picked without replacement from {j: 2, m: 2}?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let j be (2/(-4))/((-1)/16). Let v = -6 + j. Solve 3*x - 3*t = -3, -v = 5*t + 3 for x.\n' | b'-2\n' | b'Let j be (2/(-4))/((-1)/16). Let v = -6 + j. Solve 3*x - 3*t = -3, -v = 5*t + 3 for x.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((t**(1/4)*t**1)/(t*t**0)**(2/101))**(-35) assuming t is positive.\n' | b't**(-17395/404)\n' | b'Simplify ((t**(1/4)*t**1)/(t*t**0)**(2/101))**(-35) assuming t is positive.\n' | b't**(-17395/404)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 o when two letters picked without replacement from {o: 4, t: 2, u: 6, r: 4, d: 1, z: 3}.\n' | b'3/95\n' | b'Calculate prob of picking 2 o when two letters picked without replacement from {o: 4, t: 2, u: 6, r: 4, d: 1, z: 3}.\n' | b'3/95\n' | deepmind/math_dataset |
b'Let g(f) = -7*f**2 - 17*f + 37. Let r(j) = -3*j**2 - 9*j + 18. Let c(u) = -4*g(u) + 9*r(u). Let h be c(12). Solve 3*n + h*m = -n + 20, -2*n + 26 = 5*m for n.\n' | b'3\n' | b'Let g(f) = -7*f**2 - 17*f + 37. Let r(j) = -3*j**2 - 9*j + 18. Let c(u) = -4*g(u) + 9*r(u). Let h be c(12). Solve 3*n + h*m = -n + 20, -2*n + 26 = 5*m for n.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((k**(-1/5)*k)/k**3*(k**(1/4)/k)/k**1)**(16/5) assuming k is positive.\n' | b'k**(-316/25)\n' | b'Simplify ((k**(-1/5)*k)/k**3*(k**(1/4)/k)/k**1)**(16/5) assuming k is positive.\n' | b'k**(-316/25)\n' | deepmind/math_dataset |
b'Let m(x) be the second derivative of -2*x**7/21 - 7*x**3/6 + 2*x. What is the second derivative of m(p) wrt p?\n' | b'-80*p**3\n' | b'Let m(x) be the second derivative of -2*x**7/21 - 7*x**3/6 + 2*x. What is the second derivative of m(p) wrt p?\n' | b'-80*p**3\n' | deepmind/math_dataset |
b'Simplify (((b*b*b**(2/13)*b)/b*b)/b)**(-6)/(((b/(b**(1/11)*b*b))/b)/b**(-13/2)) assuming b is positive.\n' | b'b**(-4957/286)\n' | b'Simplify (((b*b*b**(2/13)*b)/b*b)/b)**(-6)/(((b/(b**(1/11)*b*b))/b)/b**(-13/2)) assuming b is positive.\n' | b'b**(-4957/286)\n' | deepmind/math_dataset |
b'Let r = 1366 - 1355. Solve -s + q + 5 = 0, -8*q + 7*q = 3*s - r for s.\n' | b'4\n' | b'Let r = 1366 - 1355. Solve -s + q + 5 = 0, -8*q + 7*q = 3*s - r for s.\n' | b'4\n' | deepmind/math_dataset |
b'Let s be -6*(-2)/3*-5. Suppose 4*o + 13 = 9. Let i be (-8)/s*(-6 - o). Let l(b) = -b**3 - 3*b**2 - b - 1. Calculate l(i).\n' | b'-3\n' | b'Let s be -6*(-2)/3*-5. Suppose 4*o + 13 = 9. Let i be (-8)/s*(-6 - o). Let l(b) = -b**3 - 3*b**2 - b - 1. Calculate l(i).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (m/(m**(6/17)*m))**(-46)*m**(-6/7)*m**(-2/15)*m assuming m is positive.\n' | b'm**(28997/1785)\n' | b'Simplify (m/(m**(6/17)*m))**(-46)*m**(-6/7)*m**(-2/15)*m assuming m is positive.\n' | b'm**(28997/1785)\n' | deepmind/math_dataset |
b'Simplify (((g/(g/g**(-2/9)))/(g**(-4)/g))**(11/5))**(-31/2) assuming g is positive.\n' | b'g**(-14663/90)\n' | b'Simplify (((g/(g/g**(-2/9)))/(g**(-4)/g))**(11/5))**(-31/2) assuming g is positive.\n' | b'g**(-14663/90)\n' | deepmind/math_dataset |
b'Simplify (a/(a*a**(-1/2)*a))**(-2/33)*(a*a*a**2)/(a*a**(-1/4)) assuming a is positive.\n' | b'a**(433/132)\n' | b'Simplify (a/(a*a**(-1/2)*a))**(-2/33)*(a*a*a**2)/(a*a**(-1/4)) assuming a is positive.\n' | b'a**(433/132)\n' | deepmind/math_dataset |
b'Let x be ((-1)/(12/(-18)))/((-6)/(-36)). Solve 4*m - 18 = -z, -3*z + m = -z + x for z.\n' | b'-2\n' | b'Let x be ((-1)/(12/(-18)))/((-6)/(-36)). Solve 4*m - 18 = -z, -3*z + m = -z + x for z.\n' | b'-2\n' | deepmind/math_dataset |
b'Let r(i) = -2*i - 14. Let p be r(-10). Solve -m + 3*m - 2*x - p = 0, -2*x - 11 = 3*m for m.\n' | b'-1\n' | b'Let r(i) = -2*i - 14. Let p be r(-10). Solve -m + 3*m - 2*x - p = 0, -2*x - 11 = 3*m for m.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (a/a**(-1))**41*(a**(1/8)*a)/(a*a**(1/12))*(a**0*a**(-3/5))**(-17) assuming a is positive.\n' | b'a**(11069/120)\n' | b'Simplify (a/a**(-1))**41*(a**(1/8)*a)/(a*a**(1/12))*(a**0*a**(-3/5))**(-17) assuming a is positive.\n' | b'a**(11069/120)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 3, a: 5}. Give prob of picking 2 a.\n' | b'5/14\n' | b'Two letters picked without replacement from {c: 3, a: 5}. Give prob of picking 2 a.\n' | b'5/14\n' | deepmind/math_dataset |
b'Simplify ((j/(j/(j*j/(j/j**(1/13)))*j))/(j*j**(-2/23)*j))/(j**6*j*j/j**(4/5)*j*j) assuming j is positive.\n' | b'j**(-16499/1495)\n' | b'Simplify ((j/(j/(j*j/(j/j**(1/13)))*j))/(j*j**(-2/23)*j))/(j**6*j*j/j**(4/5)*j*j) assuming j is positive.\n' | b'j**(-16499/1495)\n' | deepmind/math_dataset |
b'Simplify ((z**(-1/14))**(-9))**14 assuming z is positive.\n' | b'z**9\n' | b'Simplify ((z**(-1/14))**(-9))**14 assuming z is positive.\n' | b'z**9\n' | deepmind/math_dataset |
b'What is prob of picking 1 k and 3 w when four letters picked without replacement from wwwwkwnwwwwwwwjjnkf?\n' | b'110/969\n' | b'What is prob of picking 1 k and 3 w when four letters picked without replacement from wwwwkwnwwwwwwwjjnkf?\n' | b'110/969\n' | deepmind/math_dataset |
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