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'What is prob of sequence rbq when three letters picked without replacement from fbfvvvffbqvvrvr?\n' | b'2/1365\n' | b'What is prob of sequence rbq when three letters picked without replacement from fbfvvvffbqvvrvr?\n' | b'2/1365\n' | deepmind/math_dataset |
b'Let u(j) = -5798*j**3 + 7*j**2 - 7*j + 19216. Let c(x) = 7731*x**3 - 9*x**2 + 9*x - 25624. Let n(r) = -7*c(r) - 9*u(r). What is the derivative of n(l) wrt l?\n' | b'-5805*l**2\n' | b'Let u(j) = -5798*j**3 + 7*j**2 - 7*j + 19216. Let c(x) = 7731*x**3 - 9*x**2 + 9*x - 25624. Let n(r) = -7*c(r) - 9*u(r). What is the derivative of n(l) wrt l?\n' | b'-5805*l**2\n' | deepmind/math_dataset |
b'Simplify ((w*w/(w/(w/(w*w**(2/9))*w)))/w*w**5*w*((w/(w*w/w**(2/3)))/w)**(-30))/((w**(-1/2)*w*w*w/w**(-4))/((w*w**7*w)/w**8)) assuming w is positive.\n' | b'w**(743/18)\n' | b'Simplify ((w*w/(w/(w/(w*w**(2/9))*w)))/w*w**5*w*((w/(w*w/w**(2/3)))/w)**(-30))/((w**(-1/2)*w*w*w/w**(-4))/((w*w**7*w)/w**8)) assuming w is positive.\n' | b'w**(743/18)\n' | deepmind/math_dataset |
b'What is prob of sequence chh when three letters picked without replacement from {c: 2, h: 5, m: 5}?\n' | b'1/33\n' | b'What is prob of sequence chh when three letters picked without replacement from {c: 2, h: 5, m: 5}?\n' | b'1/33\n' | deepmind/math_dataset |
b'Let q = 17 - 1. Differentiate -q - 6 - 20 - 6 + 6*i**2 - 3*i**4 wrt i.\n' | b'-12*i**3 + 12*i\n' | b'Let q = 17 - 1. Differentiate -q - 6 - 20 - 6 + 6*i**2 - 3*i**4 wrt i.\n' | b'-12*i**3 + 12*i\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 1, v: 2, h: 1, w: 1}. What is prob of sequence hw?\n' | b'1/20\n' | b'Two letters picked without replacement from {z: 1, v: 2, h: 1, w: 1}. What is prob of sequence hw?\n' | b'1/20\n' | deepmind/math_dataset |
b'What is prob of sequence qwt when three letters picked without replacement from zzwzwqt?\n' | b'1/105\n' | b'What is prob of sequence qwt when three letters picked without replacement from zzwzwqt?\n' | b'1/105\n' | deepmind/math_dataset |
b'Let c(y) be the third derivative of -49*y**5/20 + y**4/6 - 227*y**3/2 + 86*y**2. Differentiate c(b) wrt b.\n' | b'-294*b + 4\n' | b'Let c(y) be the third derivative of -49*y**5/20 + y**4/6 - 227*y**3/2 + 86*y**2. Differentiate c(b) wrt b.\n' | b'-294*b + 4\n' | deepmind/math_dataset |
b'Suppose 0 = 9*i - 5*i. Suppose -5*m - 2*b + 35 = -i*b, b = m. Let o(n) = -m*n + 2*n - 3 + n + 2 + 5*n**3 - n**2. Determine o(-1).\n' | b'-5\n' | b'Suppose 0 = 9*i - 5*i. Suppose -5*m - 2*b + 35 = -i*b, b = m. Let o(n) = -m*n + 2*n - 3 + n + 2 + 5*n**3 - n**2. Determine o(-1).\n' | b'-5\n' | deepmind/math_dataset |
b'Let x be -2*(36/(-6) - -7). Let f(v) = -4 + 3 - 5 + 4 + 6*v. Determine f(x).\n' | b'-14\n' | b'Let x be -2*(36/(-6) - -7). Let f(v) = -4 + 3 - 5 + 4 + 6*v. Determine f(x).\n' | b'-14\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 3, b: 9, t: 2, e: 4, i: 1}. What is prob of picking 1 e and 1 b?\n' | b'4/19\n' | b'Two letters picked without replacement from {o: 3, b: 9, t: 2, e: 4, i: 1}. What is prob of picking 1 e and 1 b?\n' | b'4/19\n' | deepmind/math_dataset |
b'Let z(h) be the first derivative of 0*h**4 + 0*h**2 + 1/3*h**3 - 69/5*h**5 - 77*h + 53. Differentiate z(g) wrt g.\n' | b'-276*g**3 + 2*g\n' | b'Let z(h) be the first derivative of 0*h**4 + 0*h**2 + 1/3*h**3 - 69/5*h**5 - 77*h + 53. Differentiate z(g) wrt g.\n' | b'-276*g**3 + 2*g\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {q: 1, j: 1, r: 2, p: 2}. What is prob of picking 1 r, 2 p, and 1 j?\n' | b'2/15\n' | b'Four letters picked without replacement from {q: 1, j: 1, r: 2, p: 2}. What is prob of picking 1 r, 2 p, and 1 j?\n' | b'2/15\n' | deepmind/math_dataset |
b'Calculate prob of sequence nf when two letters picked without replacement from oadnllofaal.\n' | b'1/110\n' | b'Calculate prob of sequence nf when two letters picked without replacement from oadnllofaal.\n' | b'1/110\n' | deepmind/math_dataset |
b'Let s(y) = -10*y - 22. Let w be s(-2). Let m(j) be the first derivative of -7*j**4/24 + 2*j**2 - 8. Let t(a) be the second derivative of m(a). Calculate t(w).\n' | b'14\n' | b'Let s(y) = -10*y - 22. Let w be s(-2). Let m(j) be the first derivative of -7*j**4/24 + 2*j**2 - 8. Let t(a) be the second derivative of m(a). Calculate t(w).\n' | b'14\n' | deepmind/math_dataset |
b'Let n = 0 - 0. Suppose 4*i - b - 33 = 3, 0 = 2*i + b - 24. Solve i = 5*s + 5*l, n*l - 7 = -3*s - 2*l for s.\n' | b'3\n' | b'Let n = 0 - 0. Suppose 4*i - b - 33 = 3, 0 = 2*i + b - 24. Solve i = 5*s + 5*l, n*l - 7 = -3*s - 2*l for s.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence cfkl when four letters picked without replacement from mmmmklnccfnnfnm?\n' | b'1/8190\n' | b'What is prob of sequence cfkl when four letters picked without replacement from mmmmklnccfnnfnm?\n' | b'1/8190\n' | deepmind/math_dataset |
b'Simplify (((t/((t/(t*((t/(t/t**(-3/22)))/t)/t)*t*t)/t))/t**20)/(t**(-2/15))**48)**(1/3) assuming t is positive.\n' | b't**(-577/110)\n' | b'Simplify (((t/((t/(t*((t/(t/t**(-3/22)))/t)/t)*t*t)/t))/t**20)/(t**(-2/15))**48)**(1/3) assuming t is positive.\n' | b't**(-577/110)\n' | deepmind/math_dataset |
b'What is prob of picking 1 q and 1 k when two letters picked without replacement from qqqkqqqq?\n' | b'1/4\n' | b'What is prob of picking 1 q and 1 k when two letters picked without replacement from qqqkqqqq?\n' | b'1/4\n' | deepmind/math_dataset |
b'Suppose -5*x + 4*x - 9 = 4*u, -4*x + 4*u = -4. Let v be ((-4 + (6 - 3))/1)/x. Let b(r) = 2*r + 1. Determine b(v).\n' | b'3\n' | b'Suppose -5*x + 4*x - 9 = 4*u, -4*x + 4*u = -4. Let v be ((-4 + (6 - 3))/1)/x. Let b(r) = 2*r + 1. Determine b(v).\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of picking 2 e when two letters picked without replacement from {b: 5, e: 5, w: 3}?\n' | b'5/39\n' | b'What is prob of picking 2 e when two letters picked without replacement from {b: 5, e: 5, w: 3}?\n' | b'5/39\n' | deepmind/math_dataset |
b'Let o be (60/8)/((-3)/(-2)). Let i(b) = -12 + 3*b**3 - b**3 - o*b**3 + 3*b - 8*b**2 + 4*b**3. What is i(8)?\n' | b'12\n' | b'Let o be (60/8)/((-3)/(-2)). Let i(b) = -12 + 3*b**3 - b**3 - o*b**3 + 3*b - 8*b**2 + 4*b**3. What is i(8)?\n' | b'12\n' | deepmind/math_dataset |
b'Let c(b) = -b + 1. Let g(z) = -z**2 + 8*z + 3. Let y(d) = -2*c(d) - g(d). Calculate y(4).\n' | b'-13\n' | b'Let c(b) = -b + 1. Let g(z) = -z**2 + 8*z + 3. Let y(d) = -2*c(d) - g(d). Calculate y(4).\n' | b'-13\n' | deepmind/math_dataset |
b'Let j = -8 - -7. Let k(c) = 4*c**2 + 1. Let i be k(j). Find the second derivative of -6*v**4 + i*v + 6*v + 15*v**4 - 3*v wrt v.\n' | b'108*v**2\n' | b'Let j = -8 - -7. Let k(c) = 4*c**2 + 1. Let i be k(j). Find the second derivative of -6*v**4 + i*v + 6*v + 15*v**4 - 3*v wrt v.\n' | b'108*v**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gggrgrgg. Give prob of sequence gg.\n' | b'15/28\n' | b'Two letters picked without replacement from gggrgrgg. Give prob of sequence gg.\n' | b'15/28\n' | deepmind/math_dataset |
b'Suppose 0*s = 5*f - 3*s + 32, 28 = -3*f + 4*s. Let p(j) = 7*j - 6. Determine p(f).\n' | b'-34\n' | b'Suppose 0*s = 5*f - 3*s + 32, 28 = -3*f + 4*s. Let p(j) = 7*j - 6. Determine p(f).\n' | b'-34\n' | deepmind/math_dataset |
b'Let d(h) = -2 - 6*h - 6 + h**2 - 1. Let a be d(7). Let g(w) = -2*w**3 - 4*w**2 - 2*w + 1. Let v be g(a). Solve v*l = 3*l + 6, -3*f = -3*l + 9 for f.\n' | b'0\n' | b'Let d(h) = -2 - 6*h - 6 + h**2 - 1. Let a be d(7). Let g(w) = -2*w**3 - 4*w**2 - 2*w + 1. Let v be g(a). Solve v*l = 3*l + 6, -3*f = -3*l + 9 for f.\n' | b'0\n' | deepmind/math_dataset |
b'What is the third derivative of 28*r**6 - 11*r**6 + 23*r**5 - 12*r**6 + 0*r**6 + 387*r**2 wrt r?\n' | b'600*r**3 + 1380*r**2\n' | b'What is the third derivative of 28*r**6 - 11*r**6 + 23*r**5 - 12*r**6 + 0*r**6 + 387*r**2 wrt r?\n' | b'600*r**3 + 1380*r**2\n' | deepmind/math_dataset |
b'Simplify ((f**(-18)/f)/(f**(2/25)*f))/((f*f*f*f**(-9))/(f*f**7)) assuming f is positive.\n' | b'f**(-152/25)\n' | b'Simplify ((f**(-18)/f)/(f**(2/25)*f))/((f*f*f*f**(-9))/(f*f**7)) assuming f is positive.\n' | b'f**(-152/25)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from hxxhhhxhhhhhhhhhhhhh. What is prob of picking 3 x?\n' | b'1/1140\n' | b'Three letters picked without replacement from hxxhhhxhhhhhhhhhhhhh. What is prob of picking 3 x?\n' | b'1/1140\n' | deepmind/math_dataset |
b'Let b(s) = 90*s**2 - 12*s + 60. Let k(z) = 135*z**2 - 17*z + 90. Let y(i) = 7*b(i) - 5*k(i). What is the derivative of y(w) wrt w?\n' | b'-90*w + 1\n' | b'Let b(s) = 90*s**2 - 12*s + 60. Let k(z) = 135*z**2 - 17*z + 90. Let y(i) = 7*b(i) - 5*k(i). What is the derivative of y(w) wrt w?\n' | b'-90*w + 1\n' | deepmind/math_dataset |
b'Let h(p) = -3*p - 3. Suppose -4*a + 8 = -0*a. Let o be (-3 - (a - 2)) + 1. Give h(o).\n' | b'3\n' | b'Let h(p) = -3*p - 3. Suppose -4*a + 8 = -0*a. Let o be (-3 - (a - 2)) + 1. Give h(o).\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((n**(-1))**32/((n*n**(-1/4))/n**(-5/3)))**(-14) assuming n is positive.\n' | b'n**(2891/6)\n' | b'Simplify ((n**(-1))**32/((n*n**(-1/4))/n**(-5/3)))**(-14) assuming n is positive.\n' | b'n**(2891/6)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 3, m: 2}. Give prob of sequence mhh.\n' | b'1/5\n' | b'Three letters picked without replacement from {h: 3, m: 2}. Give prob of sequence mhh.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let x(k) be the first derivative of 2*k**3/3 - 12*k**2 + 25*k - 167. Give x(11).\n' | b'3\n' | b'Let x(k) be the first derivative of 2*k**3/3 - 12*k**2 + 25*k - 167. Give x(11).\n' | b'3\n' | deepmind/math_dataset |
b'Let p(u) be the third derivative of u**5/60 + 7*u**4/24 + u**3/6 - 165*u**2 + 1. Determine p(-7).\n' | b'1\n' | b'Let p(u) be the third derivative of u**5/60 + 7*u**4/24 + u**3/6 - 165*u**2 + 1. Determine p(-7).\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 150 = -3*d - 540. Let j = 236 + d. Solve 2*l + 4 = -2*o, -2*l + 20 = -j*l for o.\n' | b'3\n' | b'Suppose 150 = -3*d - 540. Let j = 236 + d. Solve 2*l + 4 = -2*o, -2*l + 20 = -j*l for o.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence jj when two letters picked without replacement from {s: 7, j: 4}?\n' | b'6/55\n' | b'What is prob of sequence jj when two letters picked without replacement from {s: 7, j: 4}?\n' | b'6/55\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 d and 1 i when two letters picked without replacement from {i: 1, u: 13, d: 1}.\n' | b'1/105\n' | b'Calculate prob of picking 1 d and 1 i when two letters picked without replacement from {i: 1, u: 13, d: 1}.\n' | b'1/105\n' | deepmind/math_dataset |
b'What is the second derivative of 23*o + 2*o + 1 + 3*o**2 - o + 48*o**3 - 25*o**3 wrt o?\n' | b'138*o + 6\n' | b'What is the second derivative of 23*o + 2*o + 1 + 3*o**2 - o + 48*o**3 - 25*o**3 wrt o?\n' | b'138*o + 6\n' | deepmind/math_dataset |
b'What is prob of sequence tddd when four letters picked without replacement from tdttdtdtdndndtttdt?\n' | b'7/272\n' | b'What is prob of sequence tddd when four letters picked without replacement from tdttdtdtdndndtttdt?\n' | b'7/272\n' | deepmind/math_dataset |
b'Simplify ((t*t**3)**(-2/3))**12 assuming t is positive.\n' | b't**(-32)\n' | b'Simplify ((t*t**3)**(-2/3))**12 assuming t is positive.\n' | b't**(-32)\n' | deepmind/math_dataset |
b'Let z = -148 - -153. Solve z*u - 20 = -4*x - 3, 0 = 4*x + 4*u - 12 for x.\n' | b'-2\n' | b'Let z = -148 - -153. Solve z*u - 20 = -4*x - 3, 0 = 4*x + 4*u - 12 for x.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 1 x, 1 u, and 2 d when four letters picked without replacement from ddgudzx?\n' | b'3/35\n' | b'What is prob of picking 1 x, 1 u, and 2 d when four letters picked without replacement from ddgudzx?\n' | b'3/35\n' | deepmind/math_dataset |
b'Let c(y) be the third derivative of 5*y**4/24 - 5*y**3/6 + 3*y**2. Let k = 52 + -49. Suppose 19 = 4*m + k. What is c(m)?\n' | b'15\n' | b'Let c(y) be the third derivative of 5*y**4/24 - 5*y**3/6 + 3*y**2. Let k = 52 + -49. Suppose 19 = 4*m + k. What is c(m)?\n' | b'15\n' | deepmind/math_dataset |
b'Simplify (x**(-5/4)/(x**(-8)*x)*(x/(x/x**0))**(5/14))**(-9) assuming x is positive.\n' | b'x**(-207/4)\n' | b'Simplify (x**(-5/4)/(x**(-8)*x)*(x/(x/x**0))**(5/14))**(-9) assuming x is positive.\n' | b'x**(-207/4)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from crnasssacarrsrcscc. What is prob of picking 1 a, 1 s, and 1 r?\n' | b'5/68\n' | b'Three letters picked without replacement from crnasssacarrsrcscc. What is prob of picking 1 a, 1 s, and 1 r?\n' | b'5/68\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 1, t: 3, r: 1}. Give prob of picking 1 r and 1 w.\n' | b'1/10\n' | b'Two letters picked without replacement from {w: 1, t: 3, r: 1}. Give prob of picking 1 r and 1 w.\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify p**(-16)/(p**(-23)/p)*p**12*p**(-1/25)/p assuming p is positive.\n' | b'p**(474/25)\n' | b'Simplify p**(-16)/(p**(-23)/p)*p**12*p**(-1/25)/p assuming p is positive.\n' | b'p**(474/25)\n' | deepmind/math_dataset |
b'Simplify ((x*(x/(x/(x*x**29/x)))/x)**(-42)*(x*x*(x*x**(-4)*x)/x)**(-2/89))**2 assuming x is positive.\n' | b'x**(-216800/89)\n' | b'Simplify ((x*(x/(x/(x*x**29/x)))/x)**(-42)*(x*x*(x*x**(-4)*x)/x)**(-2/89))**2 assuming x is positive.\n' | b'x**(-216800/89)\n' | deepmind/math_dataset |
b'Suppose -3*m + 13 = -d, -5*d = -13 + 33. Differentiate 1 + 5*r - 7 + m wrt r.\n' | b'5\n' | b'Suppose -3*m + 13 = -d, -5*d = -13 + 33. Differentiate 1 + 5*r - 7 + m wrt r.\n' | b'5\n' | deepmind/math_dataset |
b'Let v = -299 + 302. Find the third derivative of 345*q - 10*q**2 - v - 101*q**3 - 345*q wrt q.\n' | b'-606\n' | b'Let v = -299 + 302. Find the third derivative of 345*q - 10*q**2 - v - 101*q**3 - 345*q wrt q.\n' | b'-606\n' | deepmind/math_dataset |
b'Simplify s**(-15)/s**(-23) assuming s is positive.\n' | b's**8\n' | b'Simplify s**(-15)/s**(-23) assuming s is positive.\n' | b's**8\n' | deepmind/math_dataset |
b'Suppose 0 = l - 19 + 12. Let j(n) = n**3 - 8*n**2 + 5*n - 2. What is j(l)?\n' | b'-16\n' | b'Suppose 0 = l - 19 + 12. Let j(n) = n**3 - 8*n**2 + 5*n - 2. What is j(l)?\n' | b'-16\n' | deepmind/math_dataset |
b'Let k(x) be the second derivative of 9*x**7/14 + 3*x**5/5 - 13*x**4 + x**3/6 + 1532*x. Find the third derivative of k(q) wrt q.\n' | b'1620*q**2 + 72\n' | b'Let k(x) be the second derivative of 9*x**7/14 + 3*x**5/5 - 13*x**4 + x**3/6 + 1532*x. Find the third derivative of k(q) wrt q.\n' | b'1620*q**2 + 72\n' | deepmind/math_dataset |
b'Simplify ((p/(p/p**5))/(p/p**(2/7)))/(p**(1/2)/p**5) assuming p is positive.\n' | b'p**(123/14)\n' | b'Simplify ((p/(p/p**5))/(p/p**(2/7)))/(p**(1/2)/p**5) assuming p is positive.\n' | b'p**(123/14)\n' | deepmind/math_dataset |
b'Simplify (d*d*d/d**(-2/7)*d*d)**(-17)*d**(5/6)/d**(-1/6) assuming d is positive.\n' | b'd**(-622/7)\n' | b'Simplify (d*d*d/d**(-2/7)*d*d)**(-17)*d**(5/6)/d**(-1/6) assuming d is positive.\n' | b'd**(-622/7)\n' | deepmind/math_dataset |
b'Simplify (l**(-5/3))**(-1/9)/((l/l**(2/47))/l**37) assuming l is positive.\n' | b'l**(45973/1269)\n' | b'Simplify (l**(-5/3))**(-1/9)/((l/l**(2/47))/l**37) assuming l is positive.\n' | b'l**(45973/1269)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 3, n: 2, e: 1, t: 1}. Give prob of sequence ekt.\n' | b'1/70\n' | b'Three letters picked without replacement from {k: 3, n: 2, e: 1, t: 1}. Give prob of sequence ekt.\n' | b'1/70\n' | deepmind/math_dataset |
b'Let x(a) = -a**3 - 5*a**2 - 2*a + 1. Let r(o) = -3*o**3 - 16*o**2 - 6*o + 4. Let c(d) = -2*r(d) + 7*x(d). Let t(w) = -18*w - 542. Let l be t(-30). Give c(l).\n' | b'-1\n' | b'Let x(a) = -a**3 - 5*a**2 - 2*a + 1. Let r(o) = -3*o**3 - 16*o**2 - 6*o + 4. Let c(d) = -2*r(d) + 7*x(d). Let t(w) = -18*w - 542. Let l be t(-30). Give c(l).\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((l**(-4)*l)/l**(-2/7))/((l/(l/(l*l**7))*l)/l**(1/4)) assuming l is positive.\n' | b'l**(-321/28)\n' | b'Simplify ((l**(-4)*l)/l**(-2/7))/((l/(l/(l*l**7))*l)/l**(1/4)) assuming l is positive.\n' | b'l**(-321/28)\n' | deepmind/math_dataset |
b'Let t = -4 + 10. What is the third derivative of 5*i**2 + 2*i**t + i**6 + 0*i**6 wrt i?\n' | b'360*i**3\n' | b'Let t = -4 + 10. What is the third derivative of 5*i**2 + 2*i**t + i**6 + 0*i**6 wrt i?\n' | b'360*i**3\n' | deepmind/math_dataset |
b'Simplify (s**0)**(-2/29)*(s/(((s/(s*s**(-1)))/s*s)/s))**(-12) assuming s is positive.\n' | b's**(-12)\n' | b'Simplify (s**0)**(-2/29)*(s/(((s/(s*s**(-1)))/s*s)/s))**(-12) assuming s is positive.\n' | b's**(-12)\n' | deepmind/math_dataset |
b'Let o = 60 + -55. Suppose a = f + 7, -30 = -o*a + 8*f - 4*f. Solve -10 = -a*z - 3*z - b, -2*b = 10 for z.\n' | b'3\n' | b'Let o = 60 + -55. Suppose a = f + 7, -30 = -o*a + 8*f - 4*f. Solve -10 = -a*z - 3*z - b, -2*b = 10 for z.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((w**(-1))**25*(w*(w*w**(1/3))/w*w*w)**(-2/23))**(-10/9) assuming w is positive.\n' | b'w**(17450/621)\n' | b'Simplify ((w**(-1))**25*(w*(w*w**(1/3))/w*w*w)**(-2/23))**(-10/9) assuming w is positive.\n' | b'w**(17450/621)\n' | deepmind/math_dataset |
b'Suppose 0*r + r - 2*h = -1, -h + 13 = 2*r. Suppose 2*q = -r - 3. Let s(z) = 3*z + 6. Calculate s(q).\n' | b'-6\n' | b'Suppose 0*r + r - 2*h = -1, -h + 13 = 2*r. Suppose 2*q = -r - 3. Let s(z) = 3*z + 6. Calculate s(q).\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose 3*n - 9 = 5*b, 3*n + 12 = 7*n. Suppose b = -i - 3 + 8. Let r be ((-2)/3)/(24/(-1404)). Solve -i*g = -4*c + 14 - r, c - 15 = -3*g for c.\n' | b'0\n' | b'Suppose 3*n - 9 = 5*b, 3*n + 12 = 7*n. Suppose b = -i - 3 + 8. Let r be ((-2)/3)/(24/(-1404)). Solve -i*g = -4*c + 14 - r, c - 15 = -3*g for c.\n' | b'0\n' | deepmind/math_dataset |
b'Find the third derivative of 0*l**3 + 21*l**2 - l**3 + 4*l**3 - 7*l**2 wrt l.\n' | b'18\n' | b'Find the third derivative of 0*l**3 + 21*l**2 - l**3 + 4*l**3 - 7*l**2 wrt l.\n' | b'18\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m, 1 i, and 2 v when four letters picked without replacement from {z: 2, i: 1, v: 4, m: 3}.\n' | b'3/35\n' | b'Calculate prob of picking 1 m, 1 i, and 2 v when four letters picked without replacement from {z: 2, i: 1, v: 4, m: 3}.\n' | b'3/35\n' | deepmind/math_dataset |
b'Simplify z**7*z**(-1/12) assuming z is positive.\n' | b'z**(83/12)\n' | b'Simplify z**7*z**(-1/12) assuming z is positive.\n' | b'z**(83/12)\n' | deepmind/math_dataset |
b'Simplify (t/(t/(t**(-8/9)/t)*t))/(t*t*t*t**(-3/29)*t) assuming t is positive.\n' | b't**(-1771/261)\n' | b'Simplify (t/(t/(t**(-8/9)/t)*t))/(t*t*t*t**(-3/29)*t) assuming t is positive.\n' | b't**(-1771/261)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 7, v: 3}. What is prob of picking 3 q?\n' | b'7/24\n' | b'Three letters picked without replacement from {q: 7, v: 3}. What is prob of picking 3 q?\n' | b'7/24\n' | deepmind/math_dataset |
b'Simplify (j*(j/(j*j**(2/3)*j*j)*j)/j*j*j**3)/(j**2)**(-3/2) assuming j is positive.\n' | b'j**(16/3)\n' | b'Simplify (j*(j/(j*j**(2/3)*j*j)*j)/j*j*j**3)/(j**2)**(-3/2) assuming j is positive.\n' | b'j**(16/3)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 2, w: 9, z: 6}. What is prob of picking 1 z and 2 w?\n' | b'27/85\n' | b'Three letters picked without replacement from {g: 2, w: 9, z: 6}. What is prob of picking 1 z and 2 w?\n' | b'27/85\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 x and 3 r when four letters picked without replacement from dxrggdrrxiidxrrcrx.\n' | b'4/153\n' | b'Calculate prob of picking 1 x and 3 r when four letters picked without replacement from dxrggdrrxiidxrrcrx.\n' | b'4/153\n' | deepmind/math_dataset |
b'Let s be 2597/(-637) + (-2)/(-26). Let z(m) = m**2 + 4*m + 2. Calculate z(s).\n' | b'2\n' | b'Let s be 2597/(-637) + (-2)/(-26). Let z(m) = m**2 + 4*m + 2. Calculate z(s).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify u**8*u*u*u/u**(4/9)*u*u*u**7*u**(-6)*(u**2*u*u*u/u**(3/8)*u)/(u*u*u/(u/(u**2*u)))**(-7/3) assuming u is positive.\n' | b'u**(2221/72)\n' | b'Simplify u**8*u*u*u/u**(4/9)*u*u*u**7*u**(-6)*(u**2*u*u*u/u**(3/8)*u)/(u*u*u/(u/(u**2*u)))**(-7/3) assuming u is positive.\n' | b'u**(2221/72)\n' | deepmind/math_dataset |
b'Let x(r) be the second derivative of -r**3/6 + 9*r**2/2 + 4*r. What is the first derivative of x(g) wrt g?\n' | b'-1\n' | b'Let x(r) be the second derivative of -r**3/6 + 9*r**2/2 + 4*r. What is the first derivative of x(g) wrt g?\n' | b'-1\n' | deepmind/math_dataset |
b'Let g = 371 + -305. What is the third derivative of 3*h**6 - 45 - h**6 + 202*h**2 + 43 + g*h**3 wrt h?\n' | b'240*h**3 + 396\n' | b'Let g = 371 + -305. What is the third derivative of 3*h**6 - 45 - h**6 + 202*h**2 + 43 + g*h**3 wrt h?\n' | b'240*h**3 + 396\n' | deepmind/math_dataset |
b'Suppose -2*m + x + 10 = 6*x, -2*m + x = -10. Solve m*y + 0*h + 2 = -h, 8 = -4*h for y.\n' | b'0\n' | b'Suppose -2*m + x + 10 = 6*x, -2*m + x = -10. Solve m*y + 0*h + 2 = -h, 8 = -4*h for y.\n' | b'0\n' | deepmind/math_dataset |
b'Let y(k) be the first derivative of 4 + 4/3*k**6 + 0*k + 0*k**5 + 0*k**3 + 0*k**4 + 107/2*k**2. What is the second derivative of y(c) wrt c?\n' | b'160*c**3\n' | b'Let y(k) be the first derivative of 4 + 4/3*k**6 + 0*k + 0*k**5 + 0*k**3 + 0*k**4 + 107/2*k**2. What is the second derivative of y(c) wrt c?\n' | b'160*c**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from kzik. Give prob of picking 2 k and 1 i.\n' | b'1/4\n' | b'Three letters picked without replacement from kzik. Give prob of picking 2 k and 1 i.\n' | b'1/4\n' | deepmind/math_dataset |
b'Suppose d = 2*p + 7, -2*d = 3*p + p + 2. Let k(u) = -3*u - 3. Let i be k(p). Let j(s) = -2*s - 3. Let w(v) = v - 2. Let g(b) = j(b) - 3*w(b). Give g(i).\n' | b'-12\n' | b'Suppose d = 2*p + 7, -2*d = 3*p + p + 2. Let k(u) = -3*u - 3. Let i be k(p). Let j(s) = -2*s - 3. Let w(v) = v - 2. Let g(b) = j(b) - 3*w(b). Give g(i).\n' | b'-12\n' | deepmind/math_dataset |
b'What is prob of picking 1 i and 1 g when two letters picked without replacement from ggrrgsmggi?\n' | b'1/9\n' | b'What is prob of picking 1 i and 1 g when two letters picked without replacement from ggrrgsmggi?\n' | b'1/9\n' | deepmind/math_dataset |
b'Let w(r) = -7*r + 6. Let t be w(2). Suppose -2*q - 31 = -463. Let d be (t/6 - -1)/((-24)/q). Solve d*u - z + 11 = -u, -3*z - 15 = 4*u for u.\n' | b'-3\n' | b'Let w(r) = -7*r + 6. Let t be w(2). Suppose -2*q - 31 = -463. Let d be (t/6 - -1)/((-24)/q). Solve d*u - z + 11 = -u, -3*z - 15 = 4*u for u.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (x/x**(4/3))**31/(x**(-10)/x)**25 assuming x is positive.\n' | b'x**(794/3)\n' | b'Simplify (x/x**(4/3))**31/(x**(-10)/x)**25 assuming x is positive.\n' | b'x**(794/3)\n' | deepmind/math_dataset |
b'Let k = -3 - -5. Suppose a + k*a = 6. Suppose 2*h + 5*n = 27, h + 3*h - 5*n = -21. Solve 0*j + h = j + 3*m, 3*j - a*m - 14 = 0 for j.\n' | b'4\n' | b'Let k = -3 - -5. Suppose a + k*a = 6. Suppose 2*h + 5*n = 27, h + 3*h - 5*n = -21. Solve 0*j + h = j + 3*m, 3*j - a*m - 14 = 0 for j.\n' | b'4\n' | deepmind/math_dataset |
b'Let b(x) = 435*x**2 - 29*x + 409. Let c(p) = 435*p**2 - 22*p + 408. Let s(t) = -3*b(t) + 4*c(t). What is the second derivative of s(v) wrt v?\n' | b'870\n' | b'Let b(x) = 435*x**2 - 29*x + 409. Let c(p) = 435*p**2 - 22*p + 408. Let s(t) = -3*b(t) + 4*c(t). What is the second derivative of s(v) wrt v?\n' | b'870\n' | deepmind/math_dataset |
b'Let j = 6 - 2. Differentiate j*s - 3*s + 3*s**3 - s + 14 wrt s.\n' | b'9*s**2\n' | b'Let j = 6 - 2. Differentiate j*s - 3*s + 3*s**3 - s + 14 wrt s.\n' | b'9*s**2\n' | deepmind/math_dataset |
b'Let k(d) = 2*d**2 - 10*d + 9. Suppose 0 = 4*q - 3*b - 13, 7*q - 3*q + 3*b - 19 = 0. Calculate k(q).\n' | b'1\n' | b'Let k(d) = 2*d**2 - 10*d + 9. Suppose 0 = 4*q - 3*b - 13, 7*q - 3*q + 3*b - 19 = 0. Calculate k(q).\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence kk when two letters picked without replacement from dmdgkdgdddddgd.\n' | b'0\n' | b'Calculate prob of sequence kk when two letters picked without replacement from dmdgkdgdddddgd.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 1 l and 1 i when two letters picked without replacement from ignlcqq?\n' | b'1/21\n' | b'What is prob of picking 1 l and 1 i when two letters picked without replacement from ignlcqq?\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify (l*l/l**(-29))/(l**(-4/7)/l) assuming l is positive.\n' | b'l**(228/7)\n' | b'Simplify (l*l/l**(-29))/(l**(-4/7)/l) assuming l is positive.\n' | b'l**(228/7)\n' | deepmind/math_dataset |
b'What is prob of sequence zhh when three letters picked without replacement from zzzzhh?\n' | b'1/15\n' | b'What is prob of sequence zhh when three letters picked without replacement from zzzzhh?\n' | b'1/15\n' | deepmind/math_dataset |
b'Calculate prob of sequence yy when two letters picked without replacement from yyyyiyiiyyyyyyyy.\n' | b'13/20\n' | b'Calculate prob of sequence yy when two letters picked without replacement from yyyyiyiiyyyyyyyy.\n' | b'13/20\n' | deepmind/math_dataset |
b'What is prob of picking 2 k and 2 r when four letters picked without replacement from {r: 2, k: 3}?\n' | b'3/5\n' | b'What is prob of picking 2 k and 2 r when four letters picked without replacement from {r: 2, k: 3}?\n' | b'3/5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 1, f: 2, s: 2, r: 4}. Give prob of sequence srff.\n' | b'1/189\n' | b'Four letters picked without replacement from {i: 1, f: 2, s: 2, r: 4}. Give prob of sequence srff.\n' | b'1/189\n' | deepmind/math_dataset |
b'Calculate prob of sequence lpp when three letters picked without replacement from {l: 3, p: 7}.\n' | b'7/40\n' | b'Calculate prob of sequence lpp when three letters picked without replacement from {l: 3, p: 7}.\n' | b'7/40\n' | deepmind/math_dataset |
b'Calculate prob of sequence iigm when four letters picked without replacement from {j: 4, z: 1, m: 2, a: 2, i: 2, g: 8}.\n' | b'1/2907\n' | b'Calculate prob of sequence iigm when four letters picked without replacement from {j: 4, z: 1, m: 2, a: 2, i: 2, g: 8}.\n' | b'1/2907\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 2, a: 8}. What is prob of picking 4 a?\n' | b'1/3\n' | b'Four letters picked without replacement from {u: 2, a: 8}. What is prob of picking 4 a?\n' | b'1/3\n' | deepmind/math_dataset |
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