question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Let k be (8/12)/((-1)/(-3)). Let g(a) = a + 3*a - 14 - 6*a. Let b be g(-8). Solve -2*q + 16 = -k*i, -2 - b = 2*i + q for i.\n' | b'-4\n' | b'Let k be (8/12)/((-1)/(-3)). Let g(a) = a + 3*a - 14 - 6*a. Let b be g(-8). Solve -2*q + 16 = -k*i, -2 - b = 2*i + q for i.\n' | b'-4\n' | deepmind/math_dataset |
b'Let m(b) be the second derivative of 15*b**8/28 + 211*b**4/12 + 177*b + 1. What is the third derivative of m(l) wrt l?\n' | b'3600*l**3\n' | b'Let m(b) be the second derivative of 15*b**8/28 + 211*b**4/12 + 177*b + 1. What is the third derivative of m(l) wrt l?\n' | b'3600*l**3\n' | deepmind/math_dataset |
b'Simplify ((d*d*d**(-1))**41)**(-18) assuming d is positive.\n' | b'd**(-738)\n' | b'Simplify ((d*d*d**(-1))**41)**(-18) assuming d is positive.\n' | b'd**(-738)\n' | deepmind/math_dataset |
b'What is prob of picking 2 n and 1 o when three letters picked without replacement from {r: 1, e: 2, n: 3, s: 4, o: 1, d: 1}?\n' | b'3/220\n' | b'What is prob of picking 2 n and 1 o when three letters picked without replacement from {r: 1, e: 2, n: 3, s: 4, o: 1, d: 1}?\n' | b'3/220\n' | deepmind/math_dataset |
b'Let t(f) = 17*f**2 + 5*f + 11. Let i(d) = -42*d**2 - 12*d - 27. Let y be (10/6)/(1/3). Let v(a) = y*i(a) + 12*t(a). What is the first derivative of v(r) wrt r?\n' | b'-12*r\n' | b'Let t(f) = 17*f**2 + 5*f + 11. Let i(d) = -42*d**2 - 12*d - 27. Let y be (10/6)/(1/3). Let v(a) = y*i(a) + 12*t(a). What is the first derivative of v(r) wrt r?\n' | b'-12*r\n' | deepmind/math_dataset |
b'What is prob of picking 2 u when two letters picked without replacement from {u: 3, d: 1}?\n' | b'1/2\n' | b'What is prob of picking 2 u when two letters picked without replacement from {u: 3, d: 1}?\n' | b'1/2\n' | deepmind/math_dataset |
b'Calculate prob of sequence aav when three letters picked without replacement from aaaaaaaaaaavaaaaaaaa.\n' | b'1/20\n' | b'Calculate prob of sequence aav when three letters picked without replacement from aaaaaaaaaaavaaaaaaaa.\n' | b'1/20\n' | deepmind/math_dataset |
b'Let j(c) be the third derivative of c**4/12 + 4*c**3/3 + c**2. Let h(k) be the second derivative of -k**3/2 - 25*k**2/2 - 27*k. Let r be h(-6). Give j(r).\n' | b'-6\n' | b'Let j(c) be the third derivative of c**4/12 + 4*c**3/3 + c**2. Let h(k) be the second derivative of -k**3/2 - 25*k**2/2 - 27*k. Let r be h(-6). Give j(r).\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose 10*y = 15*y - 510. Find the third derivative of -y*v**4 + 44491 - 44491 - 30*v**2 wrt v.\n' | b'-2448*v\n' | b'Suppose 10*y = 15*y - 510. Find the third derivative of -y*v**4 + 44491 - 44491 - 30*v**2 wrt v.\n' | b'-2448*v\n' | deepmind/math_dataset |
b'Suppose 26563*n = 26515*n + 826 + 374. Solve -24*o + 19 = -3*y - n*o, -y - 32 = 4*o for y.\n' | b'-4\n' | b'Suppose 26563*n = 26515*n + 826 + 374. Solve -24*o + 19 = -3*y - n*o, -y - 32 = 4*o for y.\n' | b'-4\n' | deepmind/math_dataset |
b'Find the third derivative of -14*r**3 - 20*r**3 - 4*r**2 + 25*r**3 wrt r.\n' | b'-54\n' | b'Find the third derivative of -14*r**3 - 20*r**3 - 4*r**2 + 25*r**3 wrt r.\n' | b'-54\n' | deepmind/math_dataset |
b'Three letters picked without replacement from dsdbskbosssd. What is prob of picking 1 b, 1 k, and 1 s?\n' | b'1/22\n' | b'Three letters picked without replacement from dsdbskbosssd. What is prob of picking 1 b, 1 k, and 1 s?\n' | b'1/22\n' | deepmind/math_dataset |
b'Suppose 2*g + 4*q - 6 - 30 = 0, -g = 3*q - 19. Solve -3*u - u - 5*b + g = 0, 5*b = 20 for u.\n' | b'-1\n' | b'Suppose 2*g + 4*q - 6 - 30 = 0, -g = 3*q - 19. Solve -3*u - u - 5*b + g = 0, 5*b = 20 for u.\n' | b'-1\n' | deepmind/math_dataset |
b'Let a = 8 + -6. Let r(m) = 0*m - a*m + 3*m. Let s = 13 + -18. What is r(s)?\n' | b'-5\n' | b'Let a = 8 + -6. Let r(m) = 0*m - a*m + 3*m. Let s = 13 + -18. What is r(s)?\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 5, r: 1, m: 1, b: 2, n: 6, u: 2}. What is prob of picking 1 x and 1 u?\n' | b'5/68\n' | b'Two letters picked without replacement from {x: 5, r: 1, m: 1, b: 2, n: 6, u: 2}. What is prob of picking 1 x and 1 u?\n' | b'5/68\n' | deepmind/math_dataset |
b'Let r(y) be the second derivative of y**9/252 + y**5/60 - y**2 - y. Let o(z) be the first derivative of r(z). What is the third derivative of o(h) wrt h?\n' | b'240*h**3\n' | b'Let r(y) be the second derivative of y**9/252 + y**5/60 - y**2 - y. Let o(z) be the first derivative of r(z). What is the third derivative of o(h) wrt h?\n' | b'240*h**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 3, l: 1, h: 1}. Give prob of picking 1 h and 1 n.\n' | b'3/10\n' | b'Two letters picked without replacement from {n: 3, l: 1, h: 1}. Give prob of picking 1 h and 1 n.\n' | b'3/10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wttttttt. What is prob of picking 2 w?\n' | b'0\n' | b'Two letters picked without replacement from wttttttt. What is prob of picking 2 w?\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 3 r and 1 c when four letters picked without replacement from {h: 5, r: 3, c: 5}?\n' | b'1/143\n' | b'What is prob of picking 3 r and 1 c when four letters picked without replacement from {h: 5, r: 3, c: 5}?\n' | b'1/143\n' | deepmind/math_dataset |
b'What is prob of picking 1 h and 1 j when two letters picked without replacement from bhjhhhyhbaobbhayya?\n' | b'2/51\n' | b'What is prob of picking 1 h and 1 j when two letters picked without replacement from bhjhhhyhbaobbhayya?\n' | b'2/51\n' | deepmind/math_dataset |
b'Let u(l) be the third derivative of -l**6/120 + l**5/30 - l**4/24 - l**3/3 + 31*l**2. Give u(-2).\n' | b'16\n' | b'Let u(l) be the third derivative of -l**6/120 + l**5/30 - l**4/24 - l**3/3 + 31*l**2. Give u(-2).\n' | b'16\n' | deepmind/math_dataset |
b'Let f = 31 - 5. Suppose 2*x - 15 = 5. Solve 4*u + 5*v - x = -41, 2*v = -5*u - f for u.\n' | b'-4\n' | b'Let f = 31 - 5. Suppose 2*x - 15 = 5. Solve 4*u + 5*v - x = -41, 2*v = -5*u - f for u.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((c/(c*c*c**(-11))*c)**(-40)/(c**(-27)/c**(2/13)))**39 assuming c is positive.\n' | b'c**(-16101)\n' | b'Simplify ((c/(c*c*c**(-11))*c)**(-40)/(c**(-27)/c**(2/13)))**39 assuming c is positive.\n' | b'c**(-16101)\n' | deepmind/math_dataset |
b'Simplify (((w*w**(-1))/w*w)**(-21)/(((w/(w*w**(-4)*w)*w)/w)/w*w/(w*w/w**(-3)*w)))/(w**3*w*(w**(-2)/w)/w*w**(-1/2)*(w*w**5)/w) assuming w is positive.\n' | b'w**(-3/2)\n' | b'Simplify (((w*w**(-1))/w*w)**(-21)/(((w/(w*w**(-4)*w)*w)/w)/w*w/(w*w/w**(-3)*w)))/(w**3*w*(w**(-2)/w)/w*w**(-1/2)*(w*w**5)/w) assuming w is positive.\n' | b'w**(-3/2)\n' | deepmind/math_dataset |
b'Let v(u) be the second derivative of -1/3*u**4 - u + 39 + 9/10*u**5 - 5/2*u**2 - 5/6*u**3. Find the second derivative of v(o) wrt o.\n' | b'108*o - 8\n' | b'Let v(u) be the second derivative of -1/3*u**4 - u + 39 + 9/10*u**5 - 5/2*u**2 - 5/6*u**3. Find the second derivative of v(o) wrt o.\n' | b'108*o - 8\n' | deepmind/math_dataset |
b'Let l = 63 - 61. Solve -5*w = -l*z - 5, -8*z - 5 = -5*w - 4*z for w.\n' | b'1\n' | b'Let l = 63 - 61. Solve -5*w = -l*z - 5, -8*z - 5 = -5*w - 4*z for w.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence xyx when three letters picked without replacement from {n: 2, x: 8, a: 2, j: 3, y: 5}.\n' | b'7/171\n' | b'Calculate prob of sequence xyx when three letters picked without replacement from {n: 2, x: 8, a: 2, j: 3, y: 5}.\n' | b'7/171\n' | deepmind/math_dataset |
b'Calculate prob of sequence ddd when three letters picked without replacement from drdrdrrdrrddd.\n' | b'35/286\n' | b'Calculate prob of sequence ddd when three letters picked without replacement from drdrdrrdrrddd.\n' | b'35/286\n' | deepmind/math_dataset |
b'Let s = 765 + -742. Solve -s = 2*v - 5*a, -2*a + 4*a - 26 = 5*v for v.\n' | b'-4\n' | b'Let s = 765 + -742. Solve -s = 2*v - 5*a, -2*a + 4*a - 26 = 5*v for v.\n' | b'-4\n' | deepmind/math_dataset |
b'Let w = -4 + 7. Suppose 2*x + 17 + w = 0. Let c be -1 + (-4)/(-8)*x. Let n(a) = -a**3 - 6*a**2 + 2*a + 8. What is n(c)?\n' | b'-4\n' | b'Let w = -4 + 7. Suppose 2*x + 17 + w = 0. Let c be -1 + (-4)/(-8)*x. Let n(a) = -a**3 - 6*a**2 + 2*a + 8. What is n(c)?\n' | b'-4\n' | deepmind/math_dataset |
b'Let u(n) = -n**2 - 2. Suppose 5*z = d + 4, -4*d - 1 = -2*z - 3. Suppose -l + 2*l - v - 3 = 0, -l + z = v. Suppose -l*o = o. Determine u(o).\n' | b'-2\n' | b'Let u(n) = -n**2 - 2. Suppose 5*z = d + 4, -4*d - 1 = -2*z - 3. Suppose -l + 2*l - v - 3 = 0, -l + z = v. Suppose -l*o = o. Determine u(o).\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (i**(1/4)*i/(i/(i**7*i)*i)*i**(2/7)/(i*i**(-2/25)*i*i*i))/(i**(-5/4)/i**(-2/5))**(-4/11) assuming i is positive.\n' | b'i**(25461/7700)\n' | b'Simplify (i**(1/4)*i/(i/(i**7*i)*i)*i**(2/7)/(i*i**(-2/25)*i*i*i))/(i**(-5/4)/i**(-2/5))**(-4/11) assuming i is positive.\n' | b'i**(25461/7700)\n' | deepmind/math_dataset |
b'Let k = 140 + -138. Let t(b) be the second derivative of 0 + 0*b**k - 5*b + 1/4*b**4 + b**3. What is the second derivative of t(l) wrt l?\n' | b'6\n' | b'Let k = 140 + -138. Let t(b) be the second derivative of 0 + 0*b**k - 5*b + 1/4*b**4 + b**3. What is the second derivative of t(l) wrt l?\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m and 1 a when two letters picked without replacement from {b: 1, c: 11, a: 1, m: 2, q: 1}.\n' | b'1/60\n' | b'Calculate prob of picking 1 m and 1 a when two letters picked without replacement from {b: 1, c: 11, a: 1, m: 2, q: 1}.\n' | b'1/60\n' | deepmind/math_dataset |
b'Let s be 8/24 - (-146)/(-6). Let g = -28 - s. Let z be g/(-2) + -4 + 5. Solve 2*l + 4 = l - 4*f, -3*l - z*f = -6 for l.\n' | b'4\n' | b'Let s be 8/24 - (-146)/(-6). Let g = -28 - s. Let z be g/(-2) + -4 + 5. Solve 2*l + 4 = l - 4*f, -3*l - z*f = -6 for l.\n' | b'4\n' | deepmind/math_dataset |
b'Let u be (4/14)/((-921)/231 + 4). Suppose u*p = 19*p + 6. Solve g = -2, -3*v + p*v - g = 7 for v.\n' | b'-5\n' | b'Let u be (4/14)/((-921)/231 + 4). Suppose u*p = 19*p + 6. Solve g = -2, -3*v + p*v - g = 7 for v.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 2*x - 12 = 2*d, -4*x + 4*d = -6*x - 12. Solve 16 = 4*l - 4*n, x*n = 5*l - 10 - 1 for l.\n' | b'1\n' | b'Suppose 2*x - 12 = 2*d, -4*x + 4*d = -6*x - 12. Solve 16 = 4*l - 4*n, x*n = 5*l - 10 - 1 for l.\n' | b'1\n' | deepmind/math_dataset |
b'Let h(g) = -3*g + 3. Let y(b) = -b**2 + b - 1. Let f(l) = -h(l) - 3*y(l). Let o = -6 - -5. Calculate f(o).\n' | b'3\n' | b'Let h(g) = -3*g + 3. Let y(b) = -b**2 + b - 1. Let f(l) = -h(l) - 3*y(l). Let o = -6 - -5. Calculate f(o).\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from uwwuuwwuwwwuww. What is prob of sequence uww?\n' | b'15/91\n' | b'Three letters picked without replacement from uwwuuwwuwwwuww. What is prob of sequence uww?\n' | b'15/91\n' | deepmind/math_dataset |
b'Two letters picked without replacement from pmypmmpycp. Give prob of sequence yc.\n' | b'1/45\n' | b'Two letters picked without replacement from pmypmmpycp. Give prob of sequence yc.\n' | b'1/45\n' | deepmind/math_dataset |
b'What is prob of picking 1 n and 3 i when four letters picked without replacement from nniiin?\n' | b'1/5\n' | b'What is prob of picking 1 n and 3 i when four letters picked without replacement from nniiin?\n' | b'1/5\n' | deepmind/math_dataset |
b'Suppose -7*l - 5 = -8*l. Suppose 5*r - 2*y - l = -7*y, 15 = -5*y. Let z = -2 + r. Solve g + 6 = z*m, -4*g - 5*m = -m for g.\n' | b'-2\n' | b'Suppose -7*l - 5 = -8*l. Suppose 5*r - 2*y - l = -7*y, 15 = -5*y. Let z = -2 + r. Solve g + 6 = z*m, -4*g - 5*m = -m for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence jqq when three letters picked without replacement from {q: 2, l: 5, j: 9}.\n' | b'3/560\n' | b'Calculate prob of sequence jqq when three letters picked without replacement from {q: 2, l: 5, j: 9}.\n' | b'3/560\n' | deepmind/math_dataset |
b'Suppose 0 = 11*g - 19 - 91. Solve -3*y + 4*y - g = 5*m, 3*y = -5*m - 10 for m.\n' | b'-2\n' | b'Suppose 0 = 11*g - 19 - 91. Solve -3*y + 4*y - g = 5*m, 3*y = -5*m - 10 for m.\n' | b'-2\n' | deepmind/math_dataset |
b'Let h(d) = -42*d**2 - 16*d - 16. Let v(m) = 8*m**2 + 3*m + 3. Let t(q) = 3*h(q) + 16*v(q). What is t(3)?\n' | b'18\n' | b'Let h(d) = -42*d**2 - 16*d - 16. Let v(m) = 8*m**2 + 3*m + 3. Let t(q) = 3*h(q) + 16*v(q). What is t(3)?\n' | b'18\n' | deepmind/math_dataset |
b'Suppose -3*a - g + 23 = 0, -189*a - g = -184*a - 39. Let j(o) be the first derivative of -o**4/4 + 7*o**3/3 + 7*o**2/2 - 10*o - 1. Determine j(a).\n' | b'-18\n' | b'Suppose -3*a - g + 23 = 0, -189*a - g = -184*a - 39. Let j(o) be the first derivative of -o**4/4 + 7*o**3/3 + 7*o**2/2 - 10*o - 1. Determine j(a).\n' | b'-18\n' | deepmind/math_dataset |
b'Two letters picked without replacement from dwwmuwwd. What is prob of picking 2 d?\n' | b'1/28\n' | b'Two letters picked without replacement from dwwmuwwd. What is prob of picking 2 d?\n' | b'1/28\n' | deepmind/math_dataset |
b'Simplify (f/f**(6/11)*f**(2/3)/f*f)**22*(f/f**1)**43*(f**(-2/11)/f)/(f**3/f) assuming f is positive.\n' | b'f**(709/33)\n' | b'Simplify (f/f**(6/11)*f**(2/3)/f*f)**22*(f/f**1)**43*(f**(-2/11)/f)/(f**3/f) assuming f is positive.\n' | b'f**(709/33)\n' | deepmind/math_dataset |
b'Calculate prob of sequence eee when three letters picked without replacement from {e: 9}.\n' | b'1\n' | b'Calculate prob of sequence eee when three letters picked without replacement from {e: 9}.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 2 z when two letters picked without replacement from {s: 10, j: 2, z: 2}?\n' | b'1/91\n' | b'What is prob of picking 2 z when two letters picked without replacement from {s: 10, j: 2, z: 2}?\n' | b'1/91\n' | deepmind/math_dataset |
b'Suppose -n = 3*n - 100. Suppose -2*j + n = -4*g + g, 0 = 5*j + 4*g - 28. What is the third derivative of j*t**6 - 18*t**6 + 8*t**6 + 9*t**2 wrt t?\n' | b'-240*t**3\n' | b'Suppose -n = 3*n - 100. Suppose -2*j + n = -4*g + g, 0 = 5*j + 4*g - 28. What is the third derivative of j*t**6 - 18*t**6 + 8*t**6 + 9*t**2 wrt t?\n' | b'-240*t**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 1, v: 1, a: 1, c: 1, i: 1}. What is prob of picking 1 i, 1 o, and 1 c?\n' | b'1/10\n' | b'Three letters picked without replacement from {o: 1, v: 1, a: 1, c: 1, i: 1}. What is prob of picking 1 i, 1 o, and 1 c?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let y = 11 - 5. Let d(c) = -5*c**2 - 5*c - 1. Let r(w) = 4*w**2 + 5*w. Let a(p) = y*r(p) + 5*d(p). Suppose 0 = -3*g + 6 + 6. Determine a(g).\n' | b'-1\n' | b'Let y = 11 - 5. Let d(c) = -5*c**2 - 5*c - 1. Let r(w) = 4*w**2 + 5*w. Let a(p) = y*r(p) + 5*d(p). Suppose 0 = -3*g + 6 + 6. Determine a(g).\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence qoy when three letters picked without replacement from yoqyqyooyo.\n' | b'2/45\n' | b'Calculate prob of sequence qoy when three letters picked without replacement from yoqyqyooyo.\n' | b'2/45\n' | deepmind/math_dataset |
b'Let r(a) = -6*a**2 + a - 1. Let c be 12/(-15) - -1 - (-32019)/(-195). Let k = c + 166. What is r(k)?\n' | b'-23\n' | b'Let r(a) = -6*a**2 + a - 1. Let c be 12/(-15) - -1 - (-32019)/(-195). Let k = c + 166. What is r(k)?\n' | b'-23\n' | deepmind/math_dataset |
b'Calculate prob of sequence ztf when three letters picked without replacement from {f: 2, z: 1, b: 4, o: 3, e: 5, t: 5}.\n' | b'1/684\n' | b'Calculate prob of sequence ztf when three letters picked without replacement from {f: 2, z: 1, b: 4, o: 3, e: 5, t: 5}.\n' | b'1/684\n' | deepmind/math_dataset |
b'Simplify (w/((w/(w*w**(-3/7)))/w*w)*w**(-33))**21 assuming w is positive.\n' | b'w**(-681)\n' | b'Simplify (w/((w/(w*w**(-3/7)))/w*w)*w**(-33))**21 assuming w is positive.\n' | b'w**(-681)\n' | deepmind/math_dataset |
b'Simplify (z**(1/4)*z**(12/11)*z)/(z/(z*z**(-15)/z*z)*z**(-3/2)/z) assuming z is positive.\n' | b'z**(-447/44)\n' | b'Simplify (z**(1/4)*z**(12/11)*z)/(z/(z*z**(-15)/z*z)*z**(-3/2)/z) assuming z is positive.\n' | b'z**(-447/44)\n' | deepmind/math_dataset |
b'Find the third derivative of g**5 + 2*g**5 + 14*g**2 + 2*g**5 + 2*g**5 wrt g.\n' | b'420*g**2\n' | b'Find the third derivative of g**5 + 2*g**5 + 14*g**2 + 2*g**5 + 2*g**5 wrt g.\n' | b'420*g**2\n' | deepmind/math_dataset |
b'Let a(q) = -q**3 + 169*q + 93. Let t(l) = l**3 - 171*l - 92. Let o(w) = -5*a(w) - 6*t(w). Differentiate o(n) with respect to n.\n' | b'-3*n**2 + 181\n' | b'Let a(q) = -q**3 + 169*q + 93. Let t(l) = l**3 - 171*l - 92. Let o(w) = -5*a(w) - 6*t(w). Differentiate o(n) with respect to n.\n' | b'-3*n**2 + 181\n' | deepmind/math_dataset |
b'Simplify (((h/h**(2/5))/h*h)**(3/8)/(h/(h**(-1/3)/h))**45)**(-35) assuming h is positive.\n' | b'h**(29337/8)\n' | b'Simplify (((h/h**(2/5))/h*h)**(3/8)/(h/(h**(-1/3)/h))**45)**(-35) assuming h is positive.\n' | b'h**(29337/8)\n' | deepmind/math_dataset |
b'Let v(b) = 5 - b**2 - 459408*b + 1 + 459405*b. Let x be (-2 - -3)*(-10)/2. Determine v(x).\n' | b'-4\n' | b'Let v(b) = 5 - b**2 - 459408*b + 1 + 459405*b. Let x be (-2 - -3)*(-10)/2. Determine v(x).\n' | b'-4\n' | deepmind/math_dataset |
b'Let v(o) = o**3 - 10*o**2 - 2*o - 10. Suppose 123*m + 601 = 899 + 932. Calculate v(m).\n' | b'-30\n' | b'Let v(o) = o**3 - 10*o**2 - 2*o - 10. Suppose 123*m + 601 = 899 + 932. Calculate v(m).\n' | b'-30\n' | deepmind/math_dataset |
b'Let n(d) be the third derivative of 7*d**6/15 + 7*d**4/24 - 31*d**3/6 + 25*d**2 + 1. Find the second derivative of n(o) wrt o.\n' | b'336*o\n' | b'Let n(d) be the third derivative of 7*d**6/15 + 7*d**4/24 - 31*d**3/6 + 25*d**2 + 1. Find the second derivative of n(o) wrt o.\n' | b'336*o\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 c when two letters picked without replacement from {c: 5}.\n' | b'1\n' | b'Calculate prob of picking 2 c when two letters picked without replacement from {c: 5}.\n' | b'1\n' | deepmind/math_dataset |
b'Let v(k) = 24*k - 77. Let s be v(-7). Let c = 247 + s. Let g(r) = 10*r + 1. Determine g(c).\n' | b'21\n' | b'Let v(k) = 24*k - 77. Let s be v(-7). Let c = 247 + s. Let g(r) = 10*r + 1. Determine g(c).\n' | b'21\n' | deepmind/math_dataset |
b'Simplify (x*x**(-6)*x**(-2)*(x**(-1/2)/x*x*x*x)/x**(-1/4))/(x*x/(x/(x*x*x**4/x))*(x*(x/(x**(3/8)*x))/x)/x)**(-24) assuming x is positive.\n' | b'x**(423/4)\n' | b'Simplify (x*x**(-6)*x**(-2)*(x**(-1/2)/x*x*x*x)/x**(-1/4))/(x*x/(x/(x*x*x**4/x))*(x*(x/(x**(3/8)*x))/x)/x)**(-24) assuming x is positive.\n' | b'x**(423/4)\n' | deepmind/math_dataset |
b'Suppose 3 = 11*h - 10*h. Let x be -1 - (-3 - (-1)/1 - h). Let l(n) = 3*n - 9. Let g be l(6). Solve -15 = d + x*c, g*d - 25 = 4*d + 5*c for d.\n' | b'1\n' | b'Suppose 3 = 11*h - 10*h. Let x be -1 - (-3 - (-1)/1 - h). Let l(n) = 3*n - 9. Let g be l(6). Solve -15 = d + x*c, g*d - 25 = 4*d + 5*c for d.\n' | b'1\n' | deepmind/math_dataset |
b'Let s(f) = f + 15. Let l be s(0). Let o(h) = -h + 13. Let a be o(8). Solve -l = -4*c + a*u + 2, 5*c - 10 = -5*u for c.\n' | b'3\n' | b'Let s(f) = f + 15. Let l be s(0). Let o(h) = -h + 13. Let a be o(8). Solve -l = -4*c + a*u + 2, 5*c - 10 = -5*u for c.\n' | b'3\n' | deepmind/math_dataset |
b'Let h be -2 + (13 - 1) - -2. Let j be ((-4)/h)/((-1)/6). Let g(z) = -13*z - 9. Let a be g(-2). Solve -2*t + 7*s - 29 = j*s, t - 3*s = -a for t.\n' | b'-2\n' | b'Let h be -2 + (13 - 1) - -2. Let j be ((-4)/h)/((-1)/6). Let g(z) = -13*z - 9. Let a be g(-2). Solve -2*t + 7*s - 29 = j*s, t - 3*s = -a for t.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 2 d when two letters picked without replacement from ddddddddd?\n' | b'1\n' | b'What is prob of picking 2 d when two letters picked without replacement from ddddddddd?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -11*d + 15*d = 0. Solve d = c - 2*n - 2, -c + n + 1 = -0 for c.\n' | b'0\n' | b'Suppose -11*d + 15*d = 0. Solve d = c - 2*n - 2, -c + n + 1 = -0 for c.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qssqqqsqqqqq. What is prob of sequence sqq?\n' | b'9/55\n' | b'Three letters picked without replacement from qssqqqsqqqqq. What is prob of sequence sqq?\n' | b'9/55\n' | deepmind/math_dataset |
b'Calculate prob of sequence oe when two letters picked without replacement from {o: 1, e: 7}.\n' | b'1/8\n' | b'Calculate prob of sequence oe when two letters picked without replacement from {o: 1, e: 7}.\n' | b'1/8\n' | deepmind/math_dataset |
b'What is prob of picking 3 s when three letters picked without replacement from vfsssvssvssvsvv?\n' | b'8/65\n' | b'What is prob of picking 3 s when three letters picked without replacement from vfsssvssvssvsvv?\n' | b'8/65\n' | deepmind/math_dataset |
b'Let k(u) = -13*u**3 + 5*u**2 - 1. Let o(c) = -20*c**3 + 8*c**2 - 2. Let m(y) = 8*k(y) - 5*o(y). What is the derivative of m(q) wrt q?\n' | b'-12*q**2\n' | b'Let k(u) = -13*u**3 + 5*u**2 - 1. Let o(c) = -20*c**3 + 8*c**2 - 2. Let m(y) = 8*k(y) - 5*o(y). What is the derivative of m(q) wrt q?\n' | b'-12*q**2\n' | deepmind/math_dataset |
b'Simplify ((v**(3/10)/(v*(v/((v/(v/(v/(v/(v**10*v*v)*v))*v))/v))/v))/(((v**(-5)*v)/v)/(v/((v*v*v**(-1)/v)/v))))**26 assuming v is positive.\n' | b'v**(1989/5)\n' | b'Simplify ((v**(3/10)/(v*(v/((v/(v/(v/(v/(v**10*v*v)*v))*v))/v))/v))/(((v**(-5)*v)/v)/(v/((v*v*v**(-1)/v)/v))))**26 assuming v is positive.\n' | b'v**(1989/5)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from npnqqnene. What is prob of sequence nene?\n' | b'1/126\n' | b'Four letters picked without replacement from npnqqnene. What is prob of sequence nene?\n' | b'1/126\n' | deepmind/math_dataset |
b'Let d(h) = h**2 + 3*h + 3. Suppose 0 - 1 = -w. Let o(b) = -b**2 - b. Let n(z) = w*d(z) + 3*o(z). Differentiate n(m) with respect to m.\n' | b'-4*m\n' | b'Let d(h) = h**2 + 3*h + 3. Suppose 0 - 1 = -w. Let o(b) = -b**2 - b. Let n(z) = w*d(z) + 3*o(z). Differentiate n(m) with respect to m.\n' | b'-4*m\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 y, 1 c, and 1 i when three letters picked without replacement from {j: 2, p: 3, c: 1, y: 3, w: 4, i: 4}.\n' | b'3/170\n' | b'Calculate prob of picking 1 y, 1 c, and 1 i when three letters picked without replacement from {j: 2, p: 3, c: 1, y: 3, w: 4, i: 4}.\n' | b'3/170\n' | deepmind/math_dataset |
b'What is prob of picking 3 l when three letters picked without replacement from lllllllmmmllml?\n' | b'30/91\n' | b'What is prob of picking 3 l when three letters picked without replacement from lllllllmmmllml?\n' | b'30/91\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 4, s: 16}. What is prob of sequence ee?\n' | b'3/95\n' | b'Two letters picked without replacement from {e: 4, s: 16}. What is prob of sequence ee?\n' | b'3/95\n' | deepmind/math_dataset |
b'What is prob of picking 3 q when three letters picked without replacement from {v: 5, q: 14}?\n' | b'364/969\n' | b'What is prob of picking 3 q when three letters picked without replacement from {v: 5, q: 14}?\n' | b'364/969\n' | deepmind/math_dataset |
b'Suppose 5*w + 2*v = 20, 0 = w - 2*v + 3 + 5. What is the third derivative of 2*b**3 + 23*b**6 + 3*b**w + 0 + 11*b**3 - 12*b**3 - 16 wrt b?\n' | b'2760*b**3 + 6\n' | b'Suppose 5*w + 2*v = 20, 0 = w - 2*v + 3 + 5. What is the third derivative of 2*b**3 + 23*b**6 + 3*b**w + 0 + 11*b**3 - 12*b**3 - 16 wrt b?\n' | b'2760*b**3 + 6\n' | deepmind/math_dataset |
b'Suppose -718*r = -720*r + 16. Let t(u) = -u + 5. Give t(r).\n' | b'-3\n' | b'Suppose -718*r = -720*r + 16. Let t(u) = -u + 5. Give t(r).\n' | b'-3\n' | deepmind/math_dataset |
b'Let d(s) be the first derivative of 1/3*s**3 - 2*s + s**2 - 1. Let u be d(2). Solve -2*b = -5*t - u, -1 - 7 = 4*t for b.\n' | b'-2\n' | b'Let d(s) be the first derivative of 1/3*s**3 - 2*s + s**2 - 1. Let u be d(2). Solve -2*b = -5*t - u, -1 - 7 = 4*t for b.\n' | b'-2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from jlllllllljllljllljl. Give prob of picking 1 j and 3 l.\n' | b'455/969\n' | b'Four letters picked without replacement from jlllllllljllljllljl. Give prob of picking 1 j and 3 l.\n' | b'455/969\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 2, o: 5, v: 4}. What is prob of sequence vhvh?\n' | b'1/330\n' | b'Four letters picked without replacement from {h: 2, o: 5, v: 4}. What is prob of sequence vhvh?\n' | b'1/330\n' | deepmind/math_dataset |
b'Let j be 0/(-3) - (5 + (-1 - 6)). Let p = 3 + 1. Let y(g) = -2*g**2 - 4 + 4*g**3 - 3*g**3 - 9*g**j + p*g**2 + 5*g. Calculate y(6).\n' | b'-10\n' | b'Let j be 0/(-3) - (5 + (-1 - 6)). Let p = 3 + 1. Let y(g) = -2*g**2 - 4 + 4*g**3 - 3*g**3 - 9*g**j + p*g**2 + 5*g. Calculate y(6).\n' | b'-10\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 2, m: 1, b: 3, v: 3, e: 1, j: 1}. Give prob of picking 1 v, 1 j, and 1 w.\n' | b'2/55\n' | b'Three letters picked without replacement from {w: 2, m: 1, b: 3, v: 3, e: 1, j: 1}. Give prob of picking 1 v, 1 j, and 1 w.\n' | b'2/55\n' | deepmind/math_dataset |
b'Find the third derivative of -40*f**5 - 15*f**2 + 122*f**5 + 55*f**2 wrt f.\n' | b'4920*f**2\n' | b'Find the third derivative of -40*f**5 - 15*f**2 + 122*f**5 + 55*f**2 wrt f.\n' | b'4920*f**2\n' | deepmind/math_dataset |
b'Simplify (h**(-1/2)/(h/(h**7/h)))/(h**(-4)*h*h/((h/(h/((h*(((h/((h/(h**2/h))/h))/h*h)/h)/h*h)/h*h)*h))/h)) assuming h is positive.\n' | b'h**(13/2)\n' | b'Simplify (h**(-1/2)/(h/(h**7/h)))/(h**(-4)*h*h/((h/(h/((h*(((h/((h/(h**2/h))/h))/h*h)/h)/h*h)/h*h)*h))/h)) assuming h is positive.\n' | b'h**(13/2)\n' | deepmind/math_dataset |
b'Simplify (y/(y**(-5)*y*y)*y*(y/(y/((y**6*y)/y)))/y)/((y/((y/(((y/y**(-4/7))/y)/y))/y))/(y*y*y**(5/2)))*(y**(-4)/(y**(-1/9)/y))**33 assuming y is positive.\n' | b'y**(-3419/42)\n' | b'Simplify (y/(y**(-5)*y*y)*y*(y/(y/((y**6*y)/y)))/y)/((y/((y/(((y/y**(-4/7))/y)/y))/y))/(y*y*y**(5/2)))*(y**(-4)/(y**(-1/9)/y))**33 assuming y is positive.\n' | b'y**(-3419/42)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from llllqqqqqlqlqlllqlq. What is prob of sequence ll?\n' | b'5/19\n' | b'Two letters picked without replacement from llllqqqqqlqlqlllqlq. What is prob of sequence ll?\n' | b'5/19\n' | deepmind/math_dataset |
b'Simplify t**(3/31)/(t/((t**33*t)/t)) assuming t is positive.\n' | b't**(995/31)\n' | b'Simplify t**(3/31)/(t/((t**33*t)/t)) assuming t is positive.\n' | b't**(995/31)\n' | deepmind/math_dataset |
b'Let o be (-1)/(-3) - (20/(-3) - -5). Suppose s + 9 - 4 = 0, -4*b - 10 = o*s. Solve 0 = 4*m + n - 0*n + 25, -5*m + 5*n = b for m.\n' | b'-5\n' | b'Let o be (-1)/(-3) - (20/(-3) - -5). Suppose s + 9 - 4 = 0, -4*b - 10 = o*s. Solve 0 = 4*m + n - 0*n + 25, -5*m + 5*n = b for m.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 14*p = 2*p - 60. Let o be p*(6/1 + -8). Solve -w = -2*d + o, 2*w + w = 3*d - 15 for d.\n' | b'5\n' | b'Suppose 14*p = 2*p - 60. Let o be p*(6/1 + -8). Solve -w = -2*d + o, 2*w + w = 3*d - 15 for d.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {o: 1, g: 6, b: 4, q: 6, l: 1}. What is prob of picking 3 b and 1 q?\n' | b'2/255\n' | b'Four letters picked without replacement from {o: 1, g: 6, b: 4, q: 6, l: 1}. What is prob of picking 3 b and 1 q?\n' | b'2/255\n' | deepmind/math_dataset |
b'Suppose 5*f + 5*t = 70, -f - 27*t + 23*t = -23. Solve -2*h = 3*u - 1, 5*u = -13*h + 12*h + f for h.\n' | b'-4\n' | b'Suppose 5*f + 5*t = 70, -f - 27*t + 23*t = -23. Solve -2*h = 3*u - 1, 5*u = -13*h + 12*h + f for h.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of picking 2 i when two letters picked without replacement from {l: 4, i: 6}?\n' | b'1/3\n' | b'What is prob of picking 2 i when two letters picked without replacement from {l: 4, i: 6}?\n' | b'1/3\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.