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 n(r) = 2*r - 7. Let f = -148 + 156. Let i(w) = w**3 - 6*w**2 - 15*w + 1. Let z be i(f). Calculate n(z).\n' | b'11\n' | b'Let n(r) = 2*r - 7. Let f = -148 + 156. Let i(w) = w**3 - 6*w**2 - 15*w + 1. Let z be i(f). Calculate n(z).\n' | b'11\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ueololeolh. Give prob of sequence eeul.\n' | b'1/840\n' | b'Four letters picked without replacement from ueololeolh. Give prob of sequence eeul.\n' | b'1/840\n' | deepmind/math_dataset |
b'Simplify (t/(t/t**10)*t/t**(1/4)*t)/(t/t**(-1/3))**(2/21) assuming t is positive.\n' | b't**(2929/252)\n' | b'Simplify (t/(t/t**10)*t/t**(1/4)*t)/(t/t**(-1/3))**(2/21) assuming t is positive.\n' | b't**(2929/252)\n' | deepmind/math_dataset |
b'What is prob of sequence ejpt when four letters picked without replacement from {j: 3, p: 5, q: 1, t: 1, e: 5}?\n' | b'5/2184\n' | b'What is prob of sequence ejpt when four letters picked without replacement from {j: 3, p: 5, q: 1, t: 1, e: 5}?\n' | b'5/2184\n' | deepmind/math_dataset |
b'Suppose -q = -q - 8*q. Suppose 3*d + 0*x - 7 = -2*x, q = -d + 5*x + 8. Solve 4*w + 10 = -i, -2*i - i - 3*w - d = 0 for i.\n' | b'2\n' | b'Suppose -q = -q - 8*q. Suppose 3*d + 0*x - 7 = -2*x, q = -d + 5*x + 8. Solve 4*w + 10 = -i, -2*i - i - 3*w - d = 0 for i.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (w*w*w**(-11))**46/((w/w**(-2/63))/(w/(w/(w/(w*w*w**(-7)))))) assuming w is positive.\n' | b'w**(-25769/63)\n' | b'Simplify (w*w*w**(-11))**46/((w/w**(-2/63))/(w/(w/(w/(w*w*w**(-7)))))) assuming w is positive.\n' | b'w**(-25769/63)\n' | deepmind/math_dataset |
b'Simplify ((z/(z**21/z)*z*z*z/z**(-2/15))**22)**(7/9) assuming z is positive.\n' | b'z**(-36652/135)\n' | b'Simplify ((z/(z**21/z)*z*z*z/z**(-2/15))**22)**(7/9) assuming z is positive.\n' | b'z**(-36652/135)\n' | deepmind/math_dataset |
b'Let o(i) be the third derivative of 1/15*i**5 + 0*i + 0*i**6 + 0*i**7 + 0*i**4 + 0*i**3 + 0 + 4*i**2 - 1/168*i**8. What is the third derivative of o(r) wrt r?\n' | b'-120*r**2\n' | b'Let o(i) be the third derivative of 1/15*i**5 + 0*i + 0*i**6 + 0*i**7 + 0*i**4 + 0*i**3 + 0 + 4*i**2 - 1/168*i**8. What is the third derivative of o(r) wrt r?\n' | b'-120*r**2\n' | deepmind/math_dataset |
b'Suppose 5*t + 15 = -10. Let z(w) = w**2 + 5*w - 1. What is z(t)?\n' | b'-1\n' | b'Suppose 5*t + 15 = -10. Let z(w) = w**2 + 5*w - 1. What is z(t)?\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (w/w**1)**(9/5)*(w/(w/(w/(w*w/(w*w*w*w**(-1/4)*w)))))**(-4)*((w**(-1/2))**(-1/30))**(-46) assuming w is positive.\n' | b'w**(-353/30)\n' | b'Simplify (w/w**1)**(9/5)*(w/(w/(w/(w*w/(w*w*w*w**(-1/4)*w)))))**(-4)*((w**(-1/2))**(-1/30))**(-46) assuming w is positive.\n' | b'w**(-353/30)\n' | deepmind/math_dataset |
b'Let u(v) be the first derivative of -v**7/840 + v**6/40 - v**5/15 + 7*v**4/24 - 19*v**3 + 2*v - 90. Let b(c) be the third derivative of u(c). Give b(8).\n' | b'7\n' | b'Let u(v) be the first derivative of -v**7/840 + v**6/40 - v**5/15 + 7*v**4/24 - 19*v**3 + 2*v - 90. Let b(c) be the third derivative of u(c). Give b(8).\n' | b'7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {t: 14, h: 2, z: 2, b: 1}. What is prob of picking 2 h and 2 z?\n' | b'1/3876\n' | b'Four letters picked without replacement from {t: 14, h: 2, z: 2, b: 1}. What is prob of picking 2 h and 2 z?\n' | b'1/3876\n' | deepmind/math_dataset |
b'Simplify (i**(-1/9)/i*i*(i**(-2/3)/i)/i)**27*((i*i/(i**(-1)/i))**(7/3))**(3/4) assuming i is positive.\n' | b'i**(-68)\n' | b'Simplify (i**(-1/9)/i*i*(i**(-2/3)/i)/i)**27*((i*i/(i**(-1)/i))**(7/3))**(3/4) assuming i is positive.\n' | b'i**(-68)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from eneneenenenen. What is prob of sequence enn?\n' | b'35/286\n' | b'Three letters picked without replacement from eneneenenenen. What is prob of sequence enn?\n' | b'35/286\n' | deepmind/math_dataset |
b'Three letters picked without replacement from yfrgyxyyyrfyyyrffry. Give prob of sequence xyf.\n' | b'2/323\n' | b'Three letters picked without replacement from yfrgyxyyyrfyyyrffry. Give prob of sequence xyf.\n' | b'2/323\n' | deepmind/math_dataset |
b'Let x(f) = f**2 - 11*f - 4. Let h = 42 + -31. Give x(h).\n' | b'-4\n' | b'Let x(f) = f**2 - 11*f - 4. Let h = 42 + -31. Give x(h).\n' | b'-4\n' | deepmind/math_dataset |
b'Let v(r) = -r**2 + 25. Let y be v(-7). Let k be 154/10 + (2 - y/(-10)). Solve 3*m = l + 2*l + 15, 3*l + k = 4*m for l.\n' | b'-5\n' | b'Let v(r) = -r**2 + 25. Let y be v(-7). Let k be 154/10 + (2 - y/(-10)). Solve 3*m = l + 2*l + 15, 3*l + k = 4*m for l.\n' | b'-5\n' | deepmind/math_dataset |
b'Let v(b) = b**2 + 3*b + 2. Let t = 59 - 64. Calculate v(t).\n' | b'12\n' | b'Let v(b) = b**2 + 3*b + 2. Let t = 59 - 64. Calculate v(t).\n' | b'12\n' | deepmind/math_dataset |
b'Let m = 6 + -15. Let n = m - -18. Solve g + h = n, 0 = -3*g + h + h + 7 for g.\n' | b'5\n' | b'Let m = 6 + -15. Let n = m - -18. Solve g + h = n, 0 = -3*g + h + h + 7 for g.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -o + 5*h = -3, 0*h - 2*h = 3*o + 42. Let r = o - -10. Let f(c) = -c + 2. What is f(r)?\n' | b'4\n' | b'Suppose -o + 5*h = -3, 0*h - 2*h = 3*o + 42. Let r = o - -10. Let f(c) = -c + 2. What is f(r)?\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yqyvvvy. Give prob of sequence yq.\n' | b'1/14\n' | b'Two letters picked without replacement from yqyvvvy. Give prob of sequence yq.\n' | b'1/14\n' | deepmind/math_dataset |
b'Suppose 4*g + 5*a = 29, 3*a + a = 20. Let m = g - -1. Solve -3*w - 6*k = -m*k - 17, -3*w = -4*k - 1 for w.\n' | b'3\n' | b'Suppose 4*g + 5*a = 29, 3*a + a = 20. Let m = g - -1. Solve -3*w - 6*k = -m*k - 17, -3*w = -4*k - 1 for w.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify n*n*n**(2/3)*n*n*n/n**(2/3)*n**2*n*(n**(2/3)/n)/n assuming n is positive.\n' | b'n**(20/3)\n' | b'Simplify n*n*n**(2/3)*n*n*n/n**(2/3)*n**2*n*(n**(2/3)/n)/n assuming n is positive.\n' | b'n**(20/3)\n' | deepmind/math_dataset |
b'Let c = -4 + 10. Let k(p) = -15*p + c*p + 8*p. Let f(z) = -9*z**2 - 11*z. Let t(x) = f(x) - 6*k(x). Find the second derivative of t(i) wrt i.\n' | b'-18\n' | b'Let c = -4 + 10. Let k(p) = -15*p + c*p + 8*p. Let f(z) = -9*z**2 - 11*z. Let t(x) = f(x) - 6*k(x). Find the second derivative of t(i) wrt i.\n' | b'-18\n' | deepmind/math_dataset |
b'Four letters picked without replacement from tktkktttkktkttttkkkt. Give prob of sequence ttkt.\n' | b'99/1292\n' | b'Four letters picked without replacement from tktkktttkktkttttkkkt. Give prob of sequence ttkt.\n' | b'99/1292\n' | deepmind/math_dataset |
b'Let z(q) = q**3 + 2*q**2 + 3*q + 3. Let b be z(-2). Let o be 2/6 + (-8)/b. Find the second derivative of 4*a - o*a + a**5 - 3*a wrt a.\n' | b'20*a**3\n' | b'Let z(q) = q**3 + 2*q**2 + 3*q + 3. Let b be z(-2). Let o be 2/6 + (-8)/b. Find the second derivative of 4*a - o*a + a**5 - 3*a wrt a.\n' | b'20*a**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence ot when two letters picked without replacement from {l: 2, i: 1, n: 2, o: 2, x: 1, t: 1}.\n' | b'1/36\n' | b'Calculate prob of sequence ot when two letters picked without replacement from {l: 2, i: 1, n: 2, o: 2, x: 1, t: 1}.\n' | b'1/36\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 h, 1 s, and 2 k when four letters picked without replacement from kkhkyknhnnykksyknn.\n' | b'7/510\n' | b'Calculate prob of picking 1 h, 1 s, and 2 k when four letters picked without replacement from kkhkyknhnnykksyknn.\n' | b'7/510\n' | deepmind/math_dataset |
b'Suppose -26*f + 110 = 29*f. Suppose 2*i - f = 2*k + 10, 4*i - 9 = -k. Solve 2*c + 4*r - 6 = 0, -9 = i*c - 4*c - 4*r for c.\n' | b'-3\n' | b'Suppose -26*f + 110 = 29*f. Suppose 2*i - f = 2*k + 10, 4*i - 9 = -k. Solve 2*c + 4*r - 6 = 0, -9 = i*c - 4*c - 4*r for c.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rrrttzrzz. Give prob of sequence zz.\n' | b'1/12\n' | b'Two letters picked without replacement from rrrttzrzz. Give prob of sequence zz.\n' | b'1/12\n' | deepmind/math_dataset |
b'Let a(q) = -2*q + 49. Suppose -195*o + 166*o + 174 = 0. What is a(o)?\n' | b'37\n' | b'Let a(q) = -2*q + 49. Suppose -195*o + 166*o + 174 = 0. What is a(o)?\n' | b'37\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 8, z: 2}. Give prob of picking 2 d.\n' | b'28/45\n' | b'Two letters picked without replacement from {d: 8, z: 2}. Give prob of picking 2 d.\n' | b'28/45\n' | deepmind/math_dataset |
b'Let k(i) = -9 + 11*i**2 + 8*i**2 - 38*i**2 - 6*i + 6*i**2. Let g(s) = 4*s**2 + 2*s + 3. Suppose p - 21 = 4*p. Let q(j) = p*g(j) - 2*k(j). Determine q(-2).\n' | b'-7\n' | b'Let k(i) = -9 + 11*i**2 + 8*i**2 - 38*i**2 - 6*i + 6*i**2. Let g(s) = 4*s**2 + 2*s + 3. Suppose p - 21 = 4*p. Let q(j) = p*g(j) - 2*k(j). Determine q(-2).\n' | b'-7\n' | deepmind/math_dataset |
b'Let b be (-2 - 1/2)*258/(-215). Suppose -20 = -f + 2*s, 18 = b*f + 2*s - 26. Solve 5*j - f = 4*v, -j - 3*j - 2*v = -18 for j.\n' | b'4\n' | b'Let b be (-2 - 1/2)*258/(-215). Suppose -20 = -f + 2*s, 18 = b*f + 2*s - 26. Solve 5*j - f = 4*v, -j - 3*j - 2*v = -18 for j.\n' | b'4\n' | deepmind/math_dataset |
b'Let l be 12/30 + (-16)/(-10). Suppose -l*u - 2*k + 10 = -4, 0 = 4*u + 5*k - 30. Suppose 0 = -h + u*h. Solve -3*o = -4*o - 4*z - 19, -5*o + z + 10 = h for o.\n' | b'1\n' | b'Let l be 12/30 + (-16)/(-10). Suppose -l*u - 2*k + 10 = -4, 0 = 4*u + 5*k - 30. Suppose 0 = -h + u*h. Solve -3*o = -4*o - 4*z - 19, -5*o + z + 10 = h for o.\n' | b'1\n' | deepmind/math_dataset |
b'Let d be (-918)/11 - (1*-1 - (-1241)/803). Let x be ((-3)/(-2))/((-9)/24). Let i be d/21*2/x. Solve -2*v + 0*v - 16 = i*f, 3*v + 28 = -4*f for f.\n' | b'-4\n' | b'Let d be (-918)/11 - (1*-1 - (-1241)/803). Let x be ((-3)/(-2))/((-9)/24). Let i be d/21*2/x. Solve -2*v + 0*v - 16 = i*f, 3*v + 28 = -4*f for f.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -2*p - 6 + 18 = 0. Let n(j) = j**2 - 2*j - 20. Let f be n(p). Solve 4*d = -3*v + 4*v + 3, -d = f*v - 5 for d.\n' | b'1\n' | b'Suppose -2*p - 6 + 18 = 0. Let n(j) = j**2 - 2*j - 20. Let f be n(p). Solve 4*d = -3*v + 4*v + 3, -d = f*v - 5 for d.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -3*f = -10*f + 35. Solve 10 = 5*b - b - 2*l, 3*b - 2*l - f = 0 for b.\n' | b'5\n' | b'Suppose -3*f = -10*f + 35. Solve 10 = 5*b - b - 2*l, 3*b - 2*l - f = 0 for b.\n' | b'5\n' | deepmind/math_dataset |
b'Let s(j) = j + 2. Let t(r) = 54 + 11*r - 20*r - 23*r + 3*r. Let k(w) = -3*s(w) + t(w). Differentiate k(v) with respect to v.\n' | b'-32\n' | b'Let s(j) = j + 2. Let t(r) = 54 + 11*r - 20*r - 23*r + 3*r. Let k(w) = -3*s(w) + t(w). Differentiate k(v) with respect to v.\n' | b'-32\n' | deepmind/math_dataset |
b'Simplify (m*m**(-2/7))**(1/8)*(m**0)**(-1/2)*(m**6*(m*m/(m/m**(-1/3)))/m*m)/(m**(-2/7)*m)**(-49) assuming m is positive.\n' | b'm**(7015/168)\n' | b'Simplify (m*m**(-2/7))**(1/8)*(m**0)**(-1/2)*(m**6*(m*m/(m/m**(-1/3)))/m*m)/(m**(-2/7)*m)**(-49) assuming m is positive.\n' | b'm**(7015/168)\n' | deepmind/math_dataset |
b'What is prob of sequence vq when two letters picked without replacement from {q: 6, n: 1, y: 1, a: 2, v: 2}?\n' | b'1/11\n' | b'What is prob of sequence vq when two letters picked without replacement from {q: 6, n: 1, y: 1, a: 2, v: 2}?\n' | b'1/11\n' | deepmind/math_dataset |
b'Let b = 10 + -7. Solve 2*m + 8 = 5*a + 3*m, 0 = -b*m - 6 for a.\n' | b'2\n' | b'Let b = 10 + -7. Solve 2*m + 8 = 5*a + 3*m, 0 = -b*m - 6 for a.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of sequence aqc when three letters picked without replacement from {c: 3, q: 2, a: 2, j: 5}.\n' | b'1/110\n' | b'Calculate prob of sequence aqc when three letters picked without replacement from {c: 3, q: 2, a: 2, j: 5}.\n' | b'1/110\n' | deepmind/math_dataset |
b'Simplify (i/(i*i/(i*i**(-1/4))))/(i**(-1)*i)*((i/i**0)/i)**(-23) assuming i is positive.\n' | b'i**(-1/4)\n' | b'Simplify (i/(i*i/(i*i**(-1/4))))/(i**(-1)*i)*((i/i**0)/i)**(-23) assuming i is positive.\n' | b'i**(-1/4)\n' | deepmind/math_dataset |
b'Calculate prob of sequence xss when three letters picked without replacement from {w: 1, n: 1, s: 2, x: 3}.\n' | b'1/35\n' | b'Calculate prob of sequence xss when three letters picked without replacement from {w: 1, n: 1, s: 2, x: 3}.\n' | b'1/35\n' | deepmind/math_dataset |
b'Calculate prob of sequence twwt when four letters picked without replacement from {w: 4, t: 10}.\n' | b'45/1001\n' | b'Calculate prob of sequence twwt when four letters picked without replacement from {w: 4, t: 10}.\n' | b'45/1001\n' | deepmind/math_dataset |
b'Let k(q) = -7*q**2 + 7*q - 7. Let p be (17/5 - 4/10)*-1. Let l(a) = -4*a**2 + 4*a - 4. Let t = -2 - -7. Let j(m) = p*k(m) + t*l(m). Calculate j(2).\n' | b'3\n' | b'Let k(q) = -7*q**2 + 7*q - 7. Let p be (17/5 - 4/10)*-1. Let l(a) = -4*a**2 + 4*a - 4. Let t = -2 - -7. Let j(m) = p*k(m) + t*l(m). Calculate j(2).\n' | b'3\n' | deepmind/math_dataset |
b'Let m be 19/(551/841) + (0 - -2). Solve 4*j = -5*a - m, 3*j = -7*a + 11*a for j.\n' | b'-4\n' | b'Let m be 19/(551/841) + (0 - -2). Solve 4*j = -5*a - m, 3*j = -7*a + 11*a for j.\n' | b'-4\n' | deepmind/math_dataset |
b'Let j(x) = -5*x - 2. Let t(n) = -2*n**2 - 19*n + 59. Let z be t(-12). Give j(z).\n' | b'3\n' | b'Let j(x) = -5*x - 2. Let t(n) = -2*n**2 - 19*n + 59. Let z be t(-12). Give j(z).\n' | b'3\n' | deepmind/math_dataset |
b'Let p be ((-12)/(-15))/((-4)/(-10)). Let z(h) = 6*h**2 - 3*h + 3. Let o be z(p). Solve -5*i - 7 = -3*w, 2*w - 5*i + o = 6*w for w.\n' | b'4\n' | b'Let p be ((-12)/(-15))/((-4)/(-10)). Let z(h) = 6*h**2 - 3*h + 3. Let o be z(p). Solve -5*i - 7 = -3*w, 2*w - 5*i + o = 6*w for w.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -316*d = -151*d - 162*d - 15. Let m(x) be the second derivative of -x**3/6 + 5*x**2 + x. Determine m(d).\n' | b'5\n' | b'Suppose -316*d = -151*d - 162*d - 15. Let m(x) be the second derivative of -x**3/6 + 5*x**2 + x. Determine m(d).\n' | b'5\n' | deepmind/math_dataset |
b'Let p(n) = 2*n**2 + 12*n - 4. Let h be p(-6). Let r(z) = z + 4. What is r(h)?\n' | b'0\n' | b'Let p(n) = 2*n**2 + 12*n - 4. Let h be p(-6). Let r(z) = z + 4. What is r(h)?\n' | b'0\n' | deepmind/math_dataset |
b'Let p(l) be the first derivative of l**5/20 + 95*l**4/12 + 99*l**2/2 + 17*l + 67. Let u(t) be the first derivative of p(t). Differentiate u(h) wrt h.\n' | b'3*h**2 + 190*h\n' | b'Let p(l) be the first derivative of l**5/20 + 95*l**4/12 + 99*l**2/2 + 17*l + 67. Let u(t) be the first derivative of p(t). Differentiate u(h) wrt h.\n' | b'3*h**2 + 190*h\n' | deepmind/math_dataset |
b'Let d(c) = 320*c + 58 - 593*c + 292*c + 16*c**2 - 2 + c**3. What is d(-15)?\n' | b'-4\n' | b'Let d(c) = 320*c + 58 - 593*c + 292*c + 16*c**2 - 2 + c**3. What is d(-15)?\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify v/(v**7/v)*v**(-4/3)*v**7*(v**(1/2)/v)/v assuming v is positive.\n' | b'v**(-5/6)\n' | b'Simplify v/(v**7/v)*v**(-4/3)*v**7*(v**(1/2)/v)/v assuming v is positive.\n' | b'v**(-5/6)\n' | deepmind/math_dataset |
b'Let n(x) be the third derivative of 5*x**4/24 - 2*x**2. Let k be (2/(-6))/(3/18). Determine n(k).\n' | b'-10\n' | b'Let n(x) be the third derivative of 5*x**4/24 - 2*x**2. Let k be (2/(-6))/(3/18). Determine n(k).\n' | b'-10\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 o when three letters picked without replacement from ooo.\n' | b'1\n' | b'Calculate prob of picking 3 o when three letters picked without replacement from ooo.\n' | b'1\n' | deepmind/math_dataset |
b'Let h(o) be the second derivative of o**8/8 + 23*o**4/12 - 2*o. Find the third derivative of h(d) wrt d.\n' | b'840*d**3\n' | b'Let h(o) be the second derivative of o**8/8 + 23*o**4/12 - 2*o. Find the third derivative of h(d) wrt d.\n' | b'840*d**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jbyaagayjaabajaaaja. What is prob of sequence by?\n' | b'2/171\n' | b'Two letters picked without replacement from jbyaagayjaabajaaaja. What is prob of sequence by?\n' | b'2/171\n' | deepmind/math_dataset |
b'Simplify (v*(v*(v/(v*(v/(v*v/(v*v**(-5)/v)*v))/v*v))/v)/v*v**(-1/4))**(-10/9)/((v**(2/3)/v)/(v/(v*v**1))*(v**(-2)*v)**(31/3)) assuming v is positive.\n' | b'v**(13/6)\n' | b'Simplify (v*(v*(v/(v*(v/(v*v/(v*v**(-5)/v)*v))/v*v))/v)/v*v**(-1/4))**(-10/9)/((v**(2/3)/v)/(v/(v*v**1))*(v**(-2)*v)**(31/3)) assuming v is positive.\n' | b'v**(13/6)\n' | deepmind/math_dataset |
b'Simplify q**6*q/q**(2/67) assuming q is positive.\n' | b'q**(467/67)\n' | b'Simplify q**6*q/q**(2/67) assuming q is positive.\n' | b'q**(467/67)\n' | deepmind/math_dataset |
b'Let h(w) = 2883*w + 3*w**2 + 3*w**3 - 2876*w - 4*w**3. Let k(q) = -q**3 + 2*q**2 + 8*q - 1. Let z(i) = 4*h(i) - 3*k(i). What is z(6)?\n' | b'27\n' | b'Let h(w) = 2883*w + 3*w**2 + 3*w**3 - 2876*w - 4*w**3. Let k(q) = -q**3 + 2*q**2 + 8*q - 1. Let z(i) = 4*h(i) - 3*k(i). What is z(6)?\n' | b'27\n' | deepmind/math_dataset |
b'Let p = -525 - -524. Let i(a) = a**3 + a**2 + 1. Give i(p).\n' | b'1\n' | b'Let p = -525 - -524. Let i(a) = a**3 + a**2 + 1. Give i(p).\n' | b'1\n' | deepmind/math_dataset |
b'Let g(m) be the second derivative of -m**5/5 - m**3/3 + m**2/2 + 16*m. Determine g(1).\n' | b'-5\n' | b'Let g(m) be the second derivative of -m**5/5 - m**3/3 + m**2/2 + 16*m. Determine g(1).\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jjmmjnm. What is prob of picking 2 m?\n' | b'1/7\n' | b'Two letters picked without replacement from jjmmjnm. What is prob of picking 2 m?\n' | b'1/7\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 p and 1 b when three letters picked without replacement from ppnypbm.\n' | b'3/35\n' | b'Calculate prob of picking 2 p and 1 b when three letters picked without replacement from ppnypbm.\n' | b'3/35\n' | deepmind/math_dataset |
b'Let t(i) be the third derivative of 6*i**2 + 0 - 1/60*i**5 + 0*i + 0*i**6 - 13/336*i**8 + 0*i**7 + 0*i**4 + 0*i**3. What is the third derivative of t(g) wrt g?\n' | b'-780*g**2\n' | b'Let t(i) be the third derivative of 6*i**2 + 0 - 1/60*i**5 + 0*i + 0*i**6 - 13/336*i**8 + 0*i**7 + 0*i**4 + 0*i**3. What is the third derivative of t(g) wrt g?\n' | b'-780*g**2\n' | deepmind/math_dataset |
b'Suppose 4 = d + 1. Let y(w) = 2 - d*w + 0*w + 0*w + 5*w. Let i = -150 - -148. What is y(i)?\n' | b'-2\n' | b'Suppose 4 = d + 1. Let y(w) = 2 - d*w + 0*w + 0*w + 5*w. Let i = -150 - -148. What is y(i)?\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nwwnnnw. Give prob of sequence nnw.\n' | b'6/35\n' | b'Three letters picked without replacement from nwwnnnw. Give prob of sequence nnw.\n' | b'6/35\n' | deepmind/math_dataset |
b'Simplify (z**35*z**(2/55))/(z**12/(z/(z*z**(5/11)*z*z))) assuming z is positive.\n' | b'z**(1132/55)\n' | b'Simplify (z**35*z**(2/55))/(z**12/(z/(z*z**(5/11)*z*z))) assuming z is positive.\n' | b'z**(1132/55)\n' | deepmind/math_dataset |
b'Simplify ((m/m**0)/m*m*m*m**(-5)/m)**32*(m/(m/(m**(-1/2)/m)))**(-8)/(((m**6*m)/m)/(m/(m*m*m**(-5/3)*m))) assuming m is positive.\n' | b'm**(-367/3)\n' | b'Simplify ((m/m**0)/m*m*m*m**(-5)/m)**32*(m/(m/(m**(-1/2)/m)))**(-8)/(((m**6*m)/m)/(m/(m*m*m**(-5/3)*m))) assuming m is positive.\n' | b'm**(-367/3)\n' | deepmind/math_dataset |
b'Suppose 3*h - 15 = 4*f, -3*f + 4*h = 4 + 16. Let c be f + -2 + 4 + -2. Let l be (-9)/6*16/(-3). Solve -x = -2*u, 0 = -3*x - c*u - 2*u + l for x.\n' | b'2\n' | b'Suppose 3*h - 15 = 4*f, -3*f + 4*h = 4 + 16. Let c be f + -2 + 4 + -2. Let l be (-9)/6*16/(-3). Solve -x = -2*u, 0 = -3*x - c*u - 2*u + l for x.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 k when two letters picked without replacement from iyiykknqfnii.\n' | b'1/66\n' | b'Calculate prob of picking 2 k when two letters picked without replacement from iyiykknqfnii.\n' | b'1/66\n' | deepmind/math_dataset |
b'Let v(i) = i + 8. Let a be v(-6). Solve -a*f = -5*s + 20, -f + 2*s = -5*f + 8 for f.\n' | b'0\n' | b'Let v(i) = i + 8. Let a be v(-6). Solve -a*f = -5*s + 20, -f + 2*s = -5*f + 8 for f.\n' | b'0\n' | deepmind/math_dataset |
b'Let t(o) = -24*o**4 + 3*o**2 - 13*o - 503. Let n(w) = 47*w**4 - 7*w**2 + 27*w + 1004. Let q(d) = 3*n(d) + 7*t(d). Differentiate q(k) wrt k.\n' | b'-108*k**3 - 10\n' | b'Let t(o) = -24*o**4 + 3*o**2 - 13*o - 503. Let n(w) = 47*w**4 - 7*w**2 + 27*w + 1004. Let q(d) = 3*n(d) + 7*t(d). Differentiate q(k) wrt k.\n' | b'-108*k**3 - 10\n' | deepmind/math_dataset |
b'Three letters picked without replacement from bababbabbbbbbbbbbab. Give prob of picking 2 b and 1 a.\n' | b'140/323\n' | b'Three letters picked without replacement from bababbabbbbbbbbbbab. Give prob of picking 2 b and 1 a.\n' | b'140/323\n' | deepmind/math_dataset |
b'Suppose 5*y + 2*l = 135, -5*l + 73 + 2 = 2*y. Suppose 5*k - 4*j = 127 + 48, -4*j - 82 = -2*k. Find the second derivative of -y*u + 15*u + 34*u**5 + k*u wrt u.\n' | b'680*u**3\n' | b'Suppose 5*y + 2*l = 135, -5*l + 73 + 2 = 2*y. Suppose 5*k - 4*j = 127 + 48, -4*j - 82 = -2*k. Find the second derivative of -y*u + 15*u + 34*u**5 + k*u wrt u.\n' | b'680*u**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 f, 2 x, and 1 t when four letters picked without replacement from {x: 3, m: 1, f: 6, t: 8}.\n' | b'4/85\n' | b'Calculate prob of picking 1 f, 2 x, and 1 t when four letters picked without replacement from {x: 3, m: 1, f: 6, t: 8}.\n' | b'4/85\n' | deepmind/math_dataset |
b'What is the second derivative of 1434688*a**2 + 2*a**4 + 6 - 1254*a**5 + 3272*a - 6 - 1434690*a**2 wrt a?\n' | b'-25080*a**3 + 24*a**2 - 4\n' | b'What is the second derivative of 1434688*a**2 + 2*a**4 + 6 - 1254*a**5 + 3272*a - 6 - 1434690*a**2 wrt a?\n' | b'-25080*a**3 + 24*a**2 - 4\n' | deepmind/math_dataset |
b'Calculate prob of sequence pkk when three letters picked without replacement from {p: 2, k: 4}.\n' | b'1/5\n' | b'Calculate prob of sequence pkk when three letters picked without replacement from {p: 2, k: 4}.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let y(z) = -1 + 12 - 11 - 8 - 4 - 2*z. Give y(6).\n' | b'-24\n' | b'Let y(z) = -1 + 12 - 11 - 8 - 4 - 2*z. Give y(6).\n' | b'-24\n' | deepmind/math_dataset |
b'Let x(t) = 9*t**2 + 6*t - 3685 - t + 3687 - 8*t**2. Suppose -2*n - 2*n - 24 = 0. Determine x(n).\n' | b'8\n' | b'Let x(t) = 9*t**2 + 6*t - 3685 - t + 3687 - 8*t**2. Suppose -2*n - 2*n - 24 = 0. Determine x(n).\n' | b'8\n' | deepmind/math_dataset |
b'Let s(j) be the second derivative of -j**4/12 + 4*j**3/3 + 12*j**2 + 1969*j. What is s(10)?\n' | b'4\n' | b'Let s(j) be the second derivative of -j**4/12 + 4*j**3/3 + 12*j**2 + 1969*j. What is s(10)?\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((r/(r**(-12/5)*r)*r**10)**(-4/3))**(4/9) assuming r is positive.\n' | b'r**(-992/135)\n' | b'Simplify ((r/(r**(-12/5)*r)*r**10)**(-4/3))**(4/9) assuming r is positive.\n' | b'r**(-992/135)\n' | deepmind/math_dataset |
b'Let g(y) be the first derivative of -y**4/4 - 7*y**3/3 - y**2 - 9*y - 3. Let l be g(-7). Solve -v = -3*m + 11, -l*v + 0*m - 2*m + 30 = 0 for v.\n' | b'4\n' | b'Let g(y) be the first derivative of -y**4/4 - 7*y**3/3 - y**2 - 9*y - 3. Let l be g(-7). Solve -v = -3*m + 11, -l*v + 0*m - 2*m + 30 = 0 for v.\n' | b'4\n' | deepmind/math_dataset |
b'Let m(x) = -x**3 - 6*x**2 - x - 4. Let p be m(-6). What is the second derivative of -5*u**p - 1 - 2*u + 6 - 5 wrt u?\n' | b'-10\n' | b'Let m(x) = -x**3 - 6*x**2 - x - 4. Let p be m(-6). What is the second derivative of -5*u**p - 1 - 2*u + 6 - 5 wrt u?\n' | b'-10\n' | deepmind/math_dataset |
b'Let j(u) be the third derivative of u**7/420 - u**5/12 + u**3/3 + 13*u**2. Let y(v) be the first derivative of j(v). Find the second derivative of y(k) wrt k.\n' | b'12*k\n' | b'Let j(u) be the third derivative of u**7/420 - u**5/12 + u**3/3 + 13*u**2. Let y(v) be the first derivative of j(v). Find the second derivative of y(k) wrt k.\n' | b'12*k\n' | deepmind/math_dataset |
b'Simplify (j**(2/5))**(-42)/(j**10)**(2/39) assuming j is positive.\n' | b'j**(-3376/195)\n' | b'Simplify (j**(2/5))**(-42)/(j**10)**(2/39) assuming j is positive.\n' | b'j**(-3376/195)\n' | deepmind/math_dataset |
b'Simplify (((s**(-4/15)*s)/s)**(-1/5))**13 assuming s is positive.\n' | b's**(52/75)\n' | b'Simplify (((s**(-4/15)*s)/s)**(-1/5))**13 assuming s is positive.\n' | b's**(52/75)\n' | deepmind/math_dataset |
b'Simplify c*c/c**(-16)*c/(c/((c/((c**6/c*c)/c))/c*c)) assuming c is positive.\n' | b'c**14\n' | b'Simplify c*c/c**(-16)*c/(c/((c/((c**6/c*c)/c))/c*c)) assuming c is positive.\n' | b'c**14\n' | deepmind/math_dataset |
b'What is prob of picking 2 n, 1 s, and 1 r when four letters picked without replacement from {s: 2, r: 4, n: 3, z: 1}?\n' | b'4/35\n' | b'What is prob of picking 2 n, 1 s, and 1 r when four letters picked without replacement from {s: 2, r: 4, n: 3, z: 1}?\n' | b'4/35\n' | deepmind/math_dataset |
b'Let i(o) = o + 1. Let d be 2/(-3)*60/(-8). Give i(d).\n' | b'6\n' | b'Let i(o) = o + 1. Let d be 2/(-3)*60/(-8). Give i(d).\n' | b'6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 3, o: 3, t: 1, n: 5}. Give prob of sequence oot.\n' | b'1/220\n' | b'Three letters picked without replacement from {q: 3, o: 3, t: 1, n: 5}. Give prob of sequence oot.\n' | b'1/220\n' | deepmind/math_dataset |
b'Simplify (z*(z/z**(-6))/z)/(z/(z*z*z*z**4*z))*(z**(-1/4))**(-1/9) assuming z is positive.\n' | b'z**(505/36)\n' | b'Simplify (z*(z/z**(-6))/z)/(z/(z*z*z*z**4*z))*(z**(-1/4))**(-1/9) assuming z is positive.\n' | b'z**(505/36)\n' | deepmind/math_dataset |
b'Let q(r) be the third derivative of -r**6/120 + 3*r**5/20 - r**4/4 - r**3/2 + 18*r**2 + 2*r. What is the second derivative of q(d) wrt d?\n' | b'-6*d + 18\n' | b'Let q(r) be the third derivative of -r**6/120 + 3*r**5/20 - r**4/4 - r**3/2 + 18*r**2 + 2*r. What is the second derivative of q(d) wrt d?\n' | b'-6*d + 18\n' | deepmind/math_dataset |
b'Simplify (((o**21*o*o)/(((o**30/o)/o)/o))/(o**25/o**(2/37)))**43 assuming o is positive.\n' | b'o**(-46053/37)\n' | b'Simplify (((o**21*o*o)/(((o**30/o)/o)/o))/(o**25/o**(2/37)))**43 assuming o is positive.\n' | b'o**(-46053/37)\n' | deepmind/math_dataset |
b'What is prob of sequence coco when four letters picked without replacement from {o: 15, c: 4}?\n' | b'35/1292\n' | b'What is prob of sequence coco when four letters picked without replacement from {o: 15, c: 4}?\n' | b'35/1292\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r, 1 i, and 1 g when three letters picked without replacement from {k: 2, r: 1, i: 4, g: 1}.\n' | b'1/14\n' | b'Calculate prob of picking 1 r, 1 i, and 1 g when three letters picked without replacement from {k: 2, r: 1, i: 4, g: 1}.\n' | b'1/14\n' | deepmind/math_dataset |
b'What is prob of sequence wppw when four letters picked without replacement from pwwwxwdwdwp?\n' | b'1/132\n' | b'What is prob of sequence wppw when four letters picked without replacement from pwwwxwdwdwp?\n' | b'1/132\n' | deepmind/math_dataset |
b'Three letters picked without replacement from poikiplpihpipkplhh. What is prob of picking 1 o, 1 i, and 1 h?\n' | b'1/68\n' | b'Three letters picked without replacement from poikiplpihpipkplhh. What is prob of picking 1 o, 1 i, and 1 h?\n' | b'1/68\n' | deepmind/math_dataset |
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