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 r(y) = y**2 + 3*y - 7. Let m be r(3). Let b be (12/(-18))/(4/(-18)). What is the first derivative of -b*j + m - j - 2 + 2*j wrt j?\n' | b'-2\n' | b'Let r(y) = y**2 + 3*y - 7. Let m be r(3). Let b be (12/(-18))/(4/(-18)). What is the first derivative of -b*j + m - j - 2 + 2*j wrt j?\n' | b'-2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {c: 4, r: 8, l: 2, i: 1}. What is prob of picking 1 i, 1 l, and 2 r?\n' | b'8/195\n' | b'Four letters picked without replacement from {c: 4, r: 8, l: 2, i: 1}. What is prob of picking 1 i, 1 l, and 2 r?\n' | b'8/195\n' | deepmind/math_dataset |
b'Let o be 2*(9/18 - 38/(-4)). Suppose -48*n + o = -44*n. What is the derivative of n*h - 20 - 21*h - 14*h wrt h?\n' | b'-30\n' | b'Let o be 2*(9/18 - 38/(-4)). Suppose -48*n + o = -44*n. What is the derivative of n*h - 20 - 21*h - 14*h wrt h?\n' | b'-30\n' | deepmind/math_dataset |
b'Let y(l) be the first derivative of l**4/4 - l**3/3 - 2*l**2 + 8. Let x be y(4). Solve x = -4*o + 3*t, -5*t + 0*t = 4*o for o.\n' | b'-5\n' | b'Let y(l) be the first derivative of l**4/4 - l**3/3 - 2*l**2 + 8. Let x be y(4). Solve x = -4*o + 3*t, -5*t + 0*t = 4*o for o.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose a + 3*f = -14, -5*f = a + a + 24. Let t(v) be the first derivative of v**2 + v - 4451. What is t(a)?\n' | b'-3\n' | b'Suppose a + 3*f = -14, -5*f = a + a + 24. Let t(v) be the first derivative of v**2 + v - 4451. What is t(a)?\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from iriiccccicicccccc. Give prob of sequence ccr.\n' | b'11/408\n' | b'Three letters picked without replacement from iriiccccicicccccc. Give prob of sequence ccr.\n' | b'11/408\n' | deepmind/math_dataset |
b'What is prob of picking 1 d, 2 w, and 1 v when four letters picked without replacement from rprrprrxrwvrwddx?\n' | b'1/910\n' | b'What is prob of picking 1 d, 2 w, and 1 v when four letters picked without replacement from rprrprrxrwvrwddx?\n' | b'1/910\n' | deepmind/math_dataset |
b'Suppose -3*d = 2*l - 2, -3*d + 12 = -d - 4*l. Let u be (0 + 16 - 2) + -1. Solve -d*y = -2*z - 14, 2*y + 8 = -5*z - u for z.\n' | b'-5\n' | b'Suppose -3*d = 2*l - 2, -3*d + 12 = -d - 4*l. Let u be (0 + 16 - 2) + -1. Solve -d*y = -2*z - 14, 2*y + 8 = -5*z - u for z.\n' | b'-5\n' | deepmind/math_dataset |
b'What is the second derivative of -h**2 + 13*h - 329 + 331 + 0*h + 106*h**3 + h**2 wrt h?\n' | b'636*h\n' | b'What is the second derivative of -h**2 + 13*h - 329 + 331 + 0*h + 106*h**3 + h**2 wrt h?\n' | b'636*h\n' | deepmind/math_dataset |
b'Differentiate 150 + 47 - 5*n**2 + 16*n**2 + n with respect to n.\n' | b'22*n + 1\n' | b'Differentiate 150 + 47 - 5*n**2 + 16*n**2 + n with respect to n.\n' | b'22*n + 1\n' | deepmind/math_dataset |
b'Suppose 0 = 7*l + 962 - 948. Let a(h) = -2*h**3 - 4*h**2 - 3*h. What is a(l)?\n' | b'6\n' | b'Suppose 0 = 7*l + 962 - 948. Let a(h) = -2*h**3 - 4*h**2 - 3*h. What is a(l)?\n' | b'6\n' | deepmind/math_dataset |
b'Let z = -99 - -99. Let m(p) = p**2 - 16. Give m(z).\n' | b'-16\n' | b'Let z = -99 - -99. Let m(p) = p**2 - 16. Give m(z).\n' | b'-16\n' | deepmind/math_dataset |
b'Let p(f) = -f**2 - 7*f + 12. Let y be p(-8). Suppose 0 = a - y*r + 14, -5*a + 6 = -0*a - r. Solve v - 1 = -2*k, 5*v + a*k - k - 14 = 0 for v.\n' | b'3\n' | b'Let p(f) = -f**2 - 7*f + 12. Let y be p(-8). Suppose 0 = a - y*r + 14, -5*a + 6 = -0*a - r. Solve v - 1 = -2*k, 5*v + a*k - k - 14 = 0 for v.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 0 = -i + 7 - 3. What is the second derivative of i*q**3 - q**3 - 2*q + q - 5*q**3 wrt q?\n' | b'-12*q\n' | b'Suppose 0 = -i + 7 - 3. What is the second derivative of i*q**3 - q**3 - 2*q + q - 5*q**3 wrt q?\n' | b'-12*q\n' | deepmind/math_dataset |
b'Simplify r**0*r*r**(1/2) assuming r is positive.\n' | b'r**(3/2)\n' | b'Simplify r**0*r*r**(1/2) assuming r is positive.\n' | b'r**(3/2)\n' | deepmind/math_dataset |
b'Suppose -48 = -3*f + 5*l, 2*f = -2*f + 3*l + 64. Suppose 3*t + t = f. What is the derivative of 368*x - 3 + 6*x**t - 368*x wrt x?\n' | b'24*x**3\n' | b'Suppose -48 = -3*f + 5*l, 2*f = -2*f + 3*l + 64. Suppose 3*t + t = f. What is the derivative of 368*x - 3 + 6*x**t - 368*x wrt x?\n' | b'24*x**3\n' | deepmind/math_dataset |
b'What is prob of sequence ii when two letters picked without replacement from {b: 5, i: 3}?\n' | b'3/28\n' | b'What is prob of sequence ii when two letters picked without replacement from {b: 5, i: 3}?\n' | b'3/28\n' | deepmind/math_dataset |
b'Let m(g) be the first derivative of 0*g - 1 + 5/2*g**2 - 1/3*g**3. Let a be m(5). Solve -2*y + 2*w = 3*w - 1, -2*y - 3*w - 1 = a for y.\n' | b'1\n' | b'Let m(g) be the first derivative of 0*g - 1 + 5/2*g**2 - 1/3*g**3. Let a be m(5). Solve -2*y + 2*w = 3*w - 1, -2*y - 3*w - 1 = a for y.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from hhhhhhvhhdiihhzhh. What is prob of picking 2 i and 1 v?\n' | b'1/680\n' | b'Three letters picked without replacement from hhhhhhvhhdiihhzhh. What is prob of picking 2 i and 1 v?\n' | b'1/680\n' | deepmind/math_dataset |
b'Let l(f) be the first derivative of -24*f + 1/3*f**3 + 0*f**2 - 28. Find the first derivative of l(j) wrt j.\n' | b'2*j\n' | b'Let l(f) be the first derivative of -24*f + 1/3*f**3 + 0*f**2 - 28. Find the first derivative of l(j) wrt j.\n' | b'2*j\n' | deepmind/math_dataset |
b'What is prob of picking 1 q and 1 p when two letters picked without replacement from {c: 2, d: 6, u: 3, p: 1, q: 2, n: 4}?\n' | b'2/153\n' | b'What is prob of picking 1 q and 1 p when two letters picked without replacement from {c: 2, d: 6, u: 3, p: 1, q: 2, n: 4}?\n' | b'2/153\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xrrxxrcxx. What is prob of picking 1 c and 2 r?\n' | b'1/28\n' | b'Three letters picked without replacement from xrrxxrcxx. What is prob of picking 1 c and 2 r?\n' | b'1/28\n' | deepmind/math_dataset |
b'Let c(d) = 1 + 1 - 9 + 31*d - 36*d. Let i be c(-2). Solve -i*u + 7 = 4*j - 3, -2*u = 5*j - 9 for u.\n' | b'2\n' | b'Let c(d) = 1 + 1 - 9 + 31*d - 36*d. Let i be c(-2). Solve -i*u + 7 = 4*j - 3, -2*u = 5*j - 9 for u.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -5*f + f - 12 = 0. Let s(j) = -2*j - 4. Let r be s(f). What is the third derivative of r*x**2 - 2*x**3 + 2*x**3 - x**6 wrt x?\n' | b'-120*x**3\n' | b'Suppose -5*f + f - 12 = 0. Let s(j) = -2*j - 4. Let r be s(f). What is the third derivative of r*x**2 - 2*x**3 + 2*x**3 - x**6 wrt x?\n' | b'-120*x**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence ujb when three letters picked without replacement from {w: 4, u: 1, j: 7, b: 4, y: 2}.\n' | b'7/1224\n' | b'Calculate prob of sequence ujb when three letters picked without replacement from {w: 4, u: 1, j: 7, b: 4, y: 2}.\n' | b'7/1224\n' | deepmind/math_dataset |
b'Calculate prob of sequence fmc when three letters picked without replacement from qcqplmfcmlmm.\n' | b'1/165\n' | b'Calculate prob of sequence fmc when three letters picked without replacement from qcqplmfcmlmm.\n' | b'1/165\n' | deepmind/math_dataset |
b'What is prob of sequence hfh when three letters picked without replacement from {h: 4, f: 7}?\n' | b'14/165\n' | b'What is prob of sequence hfh when three letters picked without replacement from {h: 4, f: 7}?\n' | b'14/165\n' | deepmind/math_dataset |
b'Let d = -3 - -20. Let j(a) = -a + 5*a - 11 - 5 + d. Let b(i) = -i**3 - 5*i**2 + 5*i - 7. Let x be b(-6). Determine j(x).\n' | b'-3\n' | b'Let d = -3 - -20. Let j(a) = -a + 5*a - 11 - 5 + d. Let b(i) = -i**3 - 5*i**2 + 5*i - 7. Let x be b(-6). Determine j(x).\n' | b'-3\n' | deepmind/math_dataset |
b'Let u(x) = -7*x**4 + 5*x**3 - 12. Let j(r) = -r**4 + r**3. Let i(k) = 5*j(k) - u(k). What is the derivative of i(s) wrt s?\n' | b'8*s**3\n' | b'Let u(x) = -7*x**4 + 5*x**3 - 12. Let j(r) = -r**4 + r**3. Let i(k) = 5*j(k) - u(k). What is the derivative of i(s) wrt s?\n' | b'8*s**3\n' | deepmind/math_dataset |
b'Let c(m) = m**3 - 2*m**2 + 4*m + 2. Let o(j) = -j. Let d(w) = -c(w) - 4*o(w). Give d(2).\n' | b'-2\n' | b'Let c(m) = m**3 - 2*m**2 + 4*m + 2. Let o(j) = -j. Let d(w) = -c(w) - 4*o(w). Give d(2).\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 1, g: 5, t: 5, e: 1}. What is prob of sequence mgt?\n' | b'5/264\n' | b'Three letters picked without replacement from {m: 1, g: 5, t: 5, e: 1}. What is prob of sequence mgt?\n' | b'5/264\n' | deepmind/math_dataset |
b'Let q = 620 - 621. Let m(f) = 7*f - 4. What is m(q)?\n' | b'-11\n' | b'Let q = 620 - 621. Let m(f) = 7*f - 4. What is m(q)?\n' | b'-11\n' | deepmind/math_dataset |
b'Simplify (j*j*j*j*j*j*j**(-9/2)*j*j**(-29)/j)**(-4/9) assuming j is positive.\n' | b'j**(110/9)\n' | b'Simplify (j*j*j*j*j*j*j**(-9/2)*j*j**(-29)/j)**(-4/9) assuming j is positive.\n' | b'j**(110/9)\n' | deepmind/math_dataset |
b'Let i(s) be the second derivative of -s**4/4 + s**3/2 - s**2/2 + 9*s. What is i(2)?\n' | b'-7\n' | b'Let i(s) be the second derivative of -s**4/4 + s**3/2 - s**2/2 + 9*s. What is i(2)?\n' | b'-7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from hdhvddh. Give prob of picking 3 h.\n' | b'1/35\n' | b'Three letters picked without replacement from hdhvddh. Give prob of picking 3 h.\n' | b'1/35\n' | deepmind/math_dataset |
b'Suppose f = -f - 5*i + 7, i = 5*f + 23. Let n(s) = -2*s - 6. What is n(f)?\n' | b'2\n' | b'Suppose f = -f - 5*i + 7, i = 5*f + 23. Let n(s) = -2*s - 6. What is n(f)?\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 y when two letters picked without replacement from yynr.\n' | b'1/6\n' | b'Calculate prob of picking 2 y when two letters picked without replacement from yynr.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let k(b) = b**2 + 7*b + 1. Let g(t) = -t**2 - 5*t + 1. Let i(q) = -4*g(q) - 3*k(q). Give i(5).\n' | b'13\n' | b'Let k(b) = b**2 + 7*b + 1. Let g(t) = -t**2 - 5*t + 1. Let i(q) = -4*g(q) - 3*k(q). Give i(5).\n' | b'13\n' | deepmind/math_dataset |
b'Simplify m*m*(m/(m**(-14)*m))/m*m**(-2/11)*m*(m**(-3))**50 assuming m is positive.\n' | b'm**(-1476/11)\n' | b'Simplify m*m*(m/(m**(-14)*m))/m*m**(-2/11)*m*(m**(-3))**50 assuming m is positive.\n' | b'm**(-1476/11)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vgvvvvvdvvvvv. Give prob of sequence gd.\n' | b'1/156\n' | b'Two letters picked without replacement from vgvvvvvdvvvvv. Give prob of sequence gd.\n' | b'1/156\n' | deepmind/math_dataset |
b'Let b(u) = u**3 + u - 1. Let k(s) = -s**2 - 9*s + 1. Let m be k(-9). Let i = -1 + m. Suppose i = 5*n - 7 + 2. Calculate b(n).\n' | b'1\n' | b'Let b(u) = u**3 + u - 1. Let k(s) = -s**2 - 9*s + 1. Let m be k(-9). Let i = -1 + m. Suppose i = 5*n - 7 + 2. Calculate b(n).\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (x**(-7))**(-1/25) assuming x is positive.\n' | b'x**(7/25)\n' | b'Simplify (x**(-7))**(-1/25) assuming x is positive.\n' | b'x**(7/25)\n' | deepmind/math_dataset |
b'Suppose -4*k + 2*x = -10, -2*k - 3*k + 15 = -5*x. Suppose -l = -7*h + k*h + 274, -2*l = 8. Differentiate -h*o + 3 + 54*o + 3*o**3 with respect to o.\n' | b'9*o**2\n' | b'Suppose -4*k + 2*x = -10, -2*k - 3*k + 15 = -5*x. Suppose -l = -7*h + k*h + 274, -2*l = 8. Differentiate -h*o + 3 + 54*o + 3*o**3 with respect to o.\n' | b'9*o**2\n' | deepmind/math_dataset |
b'Find the third derivative of -4*g**3 + 3*g**3 - g**3 + 31*g**2 + 5*g**4 - 2 + 42*g**4 wrt g.\n' | b'1128*g - 12\n' | b'Find the third derivative of -4*g**3 + 3*g**3 - g**3 + 31*g**2 + 5*g**4 - 2 + 42*g**4 wrt g.\n' | b'1128*g - 12\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {s: 1, i: 4, c: 3}. Give prob of picking 4 i.\n' | b'1/70\n' | b'Four letters picked without replacement from {s: 1, i: 4, c: 3}. Give prob of picking 4 i.\n' | b'1/70\n' | deepmind/math_dataset |
b'Let l(j) be the first derivative of j**5/60 - j**4/8 - j**2 + 1. Let h(b) be the second derivative of l(b). What is the second derivative of h(g) wrt g?\n' | b'2\n' | b'Let l(j) be the first derivative of j**5/60 - j**4/8 - j**2 + 1. Let h(b) be the second derivative of l(b). What is the second derivative of h(g) wrt g?\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 10 = 2*q, -3*n + 54 = -3*q - 42. Suppose -4*f + 3*l + 25 = 0, 5*f - 15*l - n = -17*l. Solve 4*h + 12*u - f*u - 5 = 0, 0 = 4*h + 3*u - 11 for h.\n' | b'5\n' | b'Suppose 10 = 2*q, -3*n + 54 = -3*q - 42. Suppose -4*f + 3*l + 25 = 0, 5*f - 15*l - n = -17*l. Solve 4*h + 12*u - f*u - 5 = 0, 0 = 4*h + 3*u - 11 for h.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -18*q = -3*q - 15. Let s be 1/(-4) + 13/52. Let k(j) = -8*j + 83. Let y be k(10). Solve s = 5*n + h + q - 7, 4*h = y*n + 1 for n.\n' | b'1\n' | b'Suppose -18*q = -3*q - 15. Let s be 1/(-4) + 13/52. Let k(j) = -8*j + 83. Let y be k(10). Solve s = 5*n + h + q - 7, 4*h = y*n + 1 for n.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 4 k when four letters picked without replacement from {k: 4, s: 4, q: 12}?\n' | b'1/4845\n' | b'What is prob of picking 4 k when four letters picked without replacement from {k: 4, s: 4, q: 12}?\n' | b'1/4845\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 2, i: 10, v: 2}. What is prob of picking 1 y and 2 v?\n' | b'1/182\n' | b'Three letters picked without replacement from {y: 2, i: 10, v: 2}. What is prob of picking 1 y and 2 v?\n' | b'1/182\n' | deepmind/math_dataset |
b'Simplify (i*i*i*i*(i**(13/5)/i*i*i)/i*i*i*i*i)**(4/27)*(i*i*(i**(-3/4)/i)/i*i)**35 assuming i is positive.\n' | b'i**(5573/540)\n' | b'Simplify (i*i*i*i*(i**(13/5)/i*i*i)/i*i*i*i*i)**(4/27)*(i*i*(i**(-3/4)/i)/i*i)**35 assuming i is positive.\n' | b'i**(5573/540)\n' | deepmind/math_dataset |
b'Let w(m) be the first derivative of m**4/4 - 7*m**3 + 21*m**2/2 - 5*m - 61. Give w(20).\n' | b'15\n' | b'Let w(m) be the first derivative of m**4/4 - 7*m**3 + 21*m**2/2 - 5*m - 61. Give w(20).\n' | b'15\n' | deepmind/math_dataset |
b'Calculate prob of sequence iwiw when four letters picked without replacement from {w: 3, i: 11}.\n' | b'5/182\n' | b'Calculate prob of sequence iwiw when four letters picked without replacement from {w: 3, i: 11}.\n' | b'5/182\n' | deepmind/math_dataset |
b'Let y(t) = -7*t + 49. Suppose -2*a + 6*i - 11*i - 13 = 0, a + i = 1. Determine y(a).\n' | b'7\n' | b'Let y(t) = -7*t + 49. Suppose -2*a + 6*i - 11*i - 13 = 0, a + i = 1. Determine y(a).\n' | b'7\n' | deepmind/math_dataset |
b'Suppose 3*j - 5*s = -17 - 2, -3*j + 21 = 3*s. Find the first derivative of 3 + 0*b**2 - b**2 + 4*b**j wrt b.\n' | b'6*b\n' | b'Suppose 3*j - 5*s = -17 - 2, -3*j + 21 = 3*s. Find the first derivative of 3 + 0*b**2 - b**2 + 4*b**j wrt b.\n' | b'6*b\n' | deepmind/math_dataset |
b'Find the first derivative of -734*i**2 + 363*i**2 + 298 + 10*i + 361*i**2 wrt i.\n' | b'-20*i + 10\n' | b'Find the first derivative of -734*i**2 + 363*i**2 + 298 + 10*i + 361*i**2 wrt i.\n' | b'-20*i + 10\n' | deepmind/math_dataset |
b'What is prob of picking 2 k when two letters picked without replacement from kkkqkkqkkukkuukkkk?\n' | b'26/51\n' | b'What is prob of picking 2 k when two letters picked without replacement from kkkqkkqkkukkuukkkk?\n' | b'26/51\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 1, m: 3, n: 1, t: 7, s: 2}. What is prob of sequence tsm?\n' | b'1/52\n' | b'Three letters picked without replacement from {a: 1, m: 3, n: 1, t: 7, s: 2}. What is prob of sequence tsm?\n' | b'1/52\n' | deepmind/math_dataset |
b'Suppose 194*d - 197*d - 23 = 5*a, 0 = -3*d - a + 5. Solve -4*l = -12, 11*p - d*l = 15*p - 4 for p.\n' | b'-2\n' | b'Suppose 194*d - 197*d - 23 = 5*a, 0 = -3*d - a + 5. Solve -4*l = -12, 11*p - d*l = 15*p - 4 for p.\n' | b'-2\n' | deepmind/math_dataset |
b'Let h = 232 - -73. Let d = h - 300. Solve 0 = 2*f - 4*r - 2, -f - d*r = -3*r + 11 for f.\n' | b'-5\n' | b'Let h = 232 - -73. Let d = h - 300. Solve 0 = 2*f - 4*r - 2, -f - d*r = -3*r + 11 for f.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of sequence xc when two letters picked without replacement from {x: 5, e: 1, c: 3, m: 6}.\n' | b'1/14\n' | b'Calculate prob of sequence xc when two letters picked without replacement from {x: 5, e: 1, c: 3, m: 6}.\n' | b'1/14\n' | deepmind/math_dataset |
b'Let b(c) = -c - 3*c + 2*c + 1. Let w be (6/(-4))/((-2)/(1 + 7)). Suppose w*a - 10 = -40. Determine b(a).\n' | b'11\n' | b'Let b(c) = -c - 3*c + 2*c + 1. Let w be (6/(-4))/((-2)/(1 + 7)). Suppose w*a - 10 = -40. Determine b(a).\n' | b'11\n' | deepmind/math_dataset |
b'Four letters picked without replacement from fhhhghkfkxf. Give prob of picking 1 k and 3 f.\n' | b'1/165\n' | b'Four letters picked without replacement from fhhhghkfkxf. Give prob of picking 1 k and 3 f.\n' | b'1/165\n' | deepmind/math_dataset |
b'Suppose -4*b = -2*b. Suppose b = 5*q - 0*q - 10. Find the third derivative of -3*n**3 + n**2 - 6*n**2 - n**q + 5*n**3 wrt n.\n' | b'12\n' | b'Suppose -4*b = -2*b. Suppose b = 5*q - 0*q - 10. Find the third derivative of -3*n**3 + n**2 - 6*n**2 - n**q + 5*n**3 wrt n.\n' | b'12\n' | deepmind/math_dataset |
b'Let a(l) be the first derivative of 34/5*l**5 + 0*l**4 - 227 - 1/2*l**2 + 0*l**6 - 7*l**3 + 1/7*l**7 + 0*l. What is the third derivative of a(x) wrt x?\n' | b'120*x**3 + 816*x\n' | b'Let a(l) be the first derivative of 34/5*l**5 + 0*l**4 - 227 - 1/2*l**2 + 0*l**6 - 7*l**3 + 1/7*l**7 + 0*l. What is the third derivative of a(x) wrt x?\n' | b'120*x**3 + 816*x\n' | deepmind/math_dataset |
b'Let w(j) be the first derivative of j**7/840 + j**6/360 - j**5/120 + 2*j**4/3 + 28*j**3/3 - 193. Let x(n) be the third derivative of w(n). Calculate x(0).\n' | b'16\n' | b'Let w(j) be the first derivative of j**7/840 + j**6/360 - j**5/120 + 2*j**4/3 + 28*j**3/3 - 193. Let x(n) be the third derivative of w(n). Calculate x(0).\n' | b'16\n' | deepmind/math_dataset |
b'Let l(f) = -54*f - 81. Let z(p) = -109*p - 160. Let d(s) = -7*l(s) + 4*z(s). Differentiate d(c) wrt c.\n' | b'-58\n' | b'Let l(f) = -54*f - 81. Let z(p) = -109*p - 160. Let d(s) = -7*l(s) + 4*z(s). Differentiate d(c) wrt c.\n' | b'-58\n' | deepmind/math_dataset |
b'Simplify ((l*(l**(-1/5)/l)/l*(l*l**(-1))/l)**(-26))**2 assuming l is positive.\n' | b'l**(572/5)\n' | b'Simplify ((l*(l**(-1/5)/l)/l*(l*l**(-1))/l)**(-26))**2 assuming l is positive.\n' | b'l**(572/5)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 7, x: 4, h: 7}. What is prob of picking 3 x?\n' | b'1/204\n' | b'Three letters picked without replacement from {p: 7, x: 4, h: 7}. What is prob of picking 3 x?\n' | b'1/204\n' | deepmind/math_dataset |
b'What is prob of picking 2 a and 1 s when three letters picked without replacement from {l: 3, y: 1, s: 2, b: 1, u: 9, a: 3}?\n' | b'2/323\n' | b'What is prob of picking 2 a and 1 s when three letters picked without replacement from {l: 3, y: 1, s: 2, b: 1, u: 9, a: 3}?\n' | b'2/323\n' | deepmind/math_dataset |
b'Let l(w) be the second derivative of w**8/6720 + w**7/630 - w**6/180 + w**5/40 + w**4/12 + w. Let y(j) be the third derivative of l(j). Give y(-5).\n' | b'-2\n' | b'Let l(w) be the second derivative of w**8/6720 + w**7/630 - w**6/180 + w**5/40 + w**4/12 + w. Let y(j) be the third derivative of l(j). Give y(-5).\n' | b'-2\n' | deepmind/math_dataset |
b'Let k be -5 - 434/(-49) - 1/(-7). Solve -k = -3*b + 3*z - 1, -2*b + z + 3 = 0 for b.\n' | b'2\n' | b'Let k be -5 - 434/(-49) - 1/(-7). Solve -k = -3*b + 3*z - 1, -2*b + z + 3 = 0 for b.\n' | b'2\n' | deepmind/math_dataset |
b'Let p be ((-30)/(-12))/(-4 + (-28)/(-8)). Let o(i) = 2*i**2 + 5*i - 5. What is o(p)?\n' | b'20\n' | b'Let p be ((-30)/(-12))/(-4 + (-28)/(-8)). Let o(i) = 2*i**2 + 5*i - 5. What is o(p)?\n' | b'20\n' | deepmind/math_dataset |
b'Calculate prob of sequence qma when three letters picked without replacement from mmaammaamq.\n' | b'1/36\n' | b'Calculate prob of sequence qma when three letters picked without replacement from mmaammaamq.\n' | b'1/36\n' | deepmind/math_dataset |
b'Simplify ((l*l**(2/11))/(l/(l*l/(l/l**(-4)))))**(-7/11)/((l/((l/((l**(1/3)/l)/l))/l))**(-1/6)*l**(-1)/(l**(-2)*l*l)) assuming l is positive.\n' | b'l**(2921/1089)\n' | b'Simplify ((l*l**(2/11))/(l/(l*l/(l/l**(-4)))))**(-7/11)/((l/((l/((l**(1/3)/l)/l))/l))**(-1/6)*l**(-1)/(l**(-2)*l*l)) assuming l is positive.\n' | b'l**(2921/1089)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j, 1 a, and 1 m when three letters picked without replacement from {m: 1, j: 2, a: 1, q: 1}.\n' | b'1/5\n' | b'Calculate prob of picking 1 j, 1 a, and 1 m when three letters picked without replacement from {m: 1, j: 2, a: 1, q: 1}.\n' | b'1/5\n' | deepmind/math_dataset |
b'Simplify (((j/(j*j**(-2/3)))/(j*j*j**(-2/13)*j))**(-2/47))**49 assuming j is positive.\n' | b'j**(8330/1833)\n' | b'Simplify (((j/(j*j**(-2/3)))/(j*j*j**(-2/13)*j))**(-2/47))**49 assuming j is positive.\n' | b'j**(8330/1833)\n' | deepmind/math_dataset |
b'Let v(p) = -4*p**2 + 11*p + 24. Let b(c) = c**2 - 3*c - 6. Let u(g) = -9*b(g) - 2*v(g). Give u(6).\n' | b'0\n' | b'Let v(p) = -4*p**2 + 11*p + 24. Let b(c) = c**2 - 3*c - 6. Let u(g) = -9*b(g) - 2*v(g). Give u(6).\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from biibzbp. What is prob of picking 1 z, 1 p, and 2 i?\n' | b'1/35\n' | b'Four letters picked without replacement from biibzbp. What is prob of picking 1 z, 1 p, and 2 i?\n' | b'1/35\n' | deepmind/math_dataset |
b'Simplify m*(m**(-11)*m*m)/m*m**(5/2) assuming m is positive.\n' | b'm**(-13/2)\n' | b'Simplify m*(m**(-11)*m*m)/m*m**(5/2) assuming m is positive.\n' | b'm**(-13/2)\n' | deepmind/math_dataset |
b'What is prob of picking 1 j and 2 u when three letters picked without replacement from jujuu?\n' | b'3/5\n' | b'What is prob of picking 1 j and 2 u when three letters picked without replacement from jujuu?\n' | b'3/5\n' | deepmind/math_dataset |
b'Let f be (174/8)/3 - 2/8. Let z(q) = -q - q + 4*q + f. Calculate z(-7).\n' | b'-7\n' | b'Let f be (174/8)/3 - 2/8. Let z(q) = -q - q + 4*q + f. Calculate z(-7).\n' | b'-7\n' | deepmind/math_dataset |
b'Let z(n) = -2*n - 9. Let k be z(-6). Let j(v) = 3*v**2 - 2*v**2 - k + 7*v + 8. Give j(-4).\n' | b'-7\n' | b'Let z(n) = -2*n - 9. Let k be z(-6). Let j(v) = 3*v**2 - 2*v**2 - k + 7*v + 8. Give j(-4).\n' | b'-7\n' | deepmind/math_dataset |
b'Calculate prob of sequence jj when two letters picked without replacement from {z: 1, o: 2, j: 3, c: 1}.\n' | b'1/7\n' | b'Calculate prob of sequence jj when two letters picked without replacement from {z: 1, o: 2, j: 3, c: 1}.\n' | b'1/7\n' | deepmind/math_dataset |
b'Let h(d) be the third derivative of -5*d**9/168 + 3*d**6/20 + d**5/30 + 613*d**4/24 + d**2 - 44. What is the third derivative of h(m) wrt m?\n' | b'-1800*m**3 + 108\n' | b'Let h(d) be the third derivative of -5*d**9/168 + 3*d**6/20 + d**5/30 + 613*d**4/24 + d**2 - 44. What is the third derivative of h(m) wrt m?\n' | b'-1800*m**3 + 108\n' | deepmind/math_dataset |
b'Let b(m) = -m**3 + 14*m**2 - 15*m + 18. Suppose -4*v = -12, c + 4*v = -0*c + 3. Let i be ((-32)/(-4) + c)*-13. Give b(i).\n' | b'-8\n' | b'Let b(m) = -m**3 + 14*m**2 - 15*m + 18. Suppose -4*v = -12, c + 4*v = -0*c + 3. Let i be ((-32)/(-4) + c)*-13. Give b(i).\n' | b'-8\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 1, e: 1, g: 1, k: 2}. Give prob of picking 1 g, 1 e, and 1 k.\n' | b'1/5\n' | b'Three letters picked without replacement from {x: 1, e: 1, g: 1, k: 2}. Give prob of picking 1 g, 1 e, and 1 k.\n' | b'1/5\n' | deepmind/math_dataset |
b'What is prob of picking 2 d when two letters picked without replacement from rdpkd?\n' | b'1/10\n' | b'What is prob of picking 2 d when two letters picked without replacement from rdpkd?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let v = 36 - 32. Let l(t) = -t**3 + t**2. Let r be l(1). Find the second derivative of -5*f**4 - 2*f**4 + r*f**v + 12*f + 5*f**4 wrt f.\n' | b'-24*f**2\n' | b'Let v = 36 - 32. Let l(t) = -t**3 + t**2. Let r be l(1). Find the second derivative of -5*f**4 - 2*f**4 + r*f**v + 12*f + 5*f**4 wrt f.\n' | b'-24*f**2\n' | deepmind/math_dataset |
b'Simplify ((o**0)**20/((o*o/o**(-1/4))/((o/(o*o**(-2)*o)*o)/o)))**(4/21) assuming o is positive.\n' | b'o**(-5/21)\n' | b'Simplify ((o**0)**20/((o*o/o**(-1/4))/((o/(o*o**(-2)*o)*o)/o)))**(4/21) assuming o is positive.\n' | b'o**(-5/21)\n' | deepmind/math_dataset |
b'Suppose 2*c + 9 = a, -2*a = 3*a + 3*c - 6. Suppose 30 = a*z - 0. Solve x + 0*i - i + 5 = 0, 0 = 2*x + 3*i - z for x.\n' | b'-1\n' | b'Suppose 2*c + 9 = a, -2*a = 3*a + 3*c - 6. Suppose 30 = a*z - 0. Solve x + 0*i - i + 5 = 0, 0 = 2*x + 3*i - z for x.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose n + 3*q = -4*n + 27, -n = -4*q + 13. Find the third derivative of -3*f**2 - 3*f**4 + 6*f**4 + n*f**4 - 10*f**2 wrt f.\n' | b'144*f\n' | b'Suppose n + 3*q = -4*n + 27, -n = -4*q + 13. Find the third derivative of -3*f**2 - 3*f**4 + 6*f**4 + n*f**4 - 10*f**2 wrt f.\n' | b'144*f\n' | deepmind/math_dataset |
b'Suppose 0 = 1526*f - 1529*f + 6. Suppose -8 = 3*a - 29. Let r(n) = -10*n**2 + 28*n - 22. Let d(j) = 3*j**2 - 9*j + 7. Let b(v) = a*d(v) + f*r(v). Give b(7).\n' | b'5\n' | b'Suppose 0 = 1526*f - 1529*f + 6. Suppose -8 = 3*a - 29. Let r(n) = -10*n**2 + 28*n - 22. Let d(j) = 3*j**2 - 9*j + 7. Let b(v) = a*d(v) + f*r(v). Give b(7).\n' | b'5\n' | deepmind/math_dataset |
b'Let g(t) be the third derivative of 19*t**6/120 + 23*t**5/12 - 148*t**2. Find the third derivative of g(u) wrt u.\n' | b'114\n' | b'Let g(t) be the third derivative of 19*t**6/120 + 23*t**5/12 - 148*t**2. Find the third derivative of g(u) wrt u.\n' | b'114\n' | deepmind/math_dataset |
b'Let b(f) be the second derivative of 1595*f**4/6 + 3172*f**3/3 - 2123*f + 2. What is the second derivative of b(k) wrt k?\n' | b'6380\n' | b'Let b(f) be the second derivative of 1595*f**4/6 + 3172*f**3/3 - 2123*f + 2. What is the second derivative of b(k) wrt k?\n' | b'6380\n' | deepmind/math_dataset |
b'Let f = 9646 - 9649. Let t(u) = 37*u - 3. Calculate t(f).\n' | b'-114\n' | b'Let f = 9646 - 9649. Let t(u) = 37*u - 3. Calculate t(f).\n' | b'-114\n' | deepmind/math_dataset |
b'Calculate prob of sequence gpl when three letters picked without replacement from {l: 1, e: 1, g: 3, p: 4, r: 2, c: 1}.\n' | b'1/110\n' | b'Calculate prob of sequence gpl when three letters picked without replacement from {l: 1, e: 1, g: 3, p: 4, r: 2, c: 1}.\n' | b'1/110\n' | deepmind/math_dataset |
b'Simplify (((f**(-2/17)*f*f)/f)/f**(2/25))/(f**(-3)*f**9/f) assuming f is positive.\n' | b'f**(-1784/425)\n' | b'Simplify (((f**(-2/17)*f*f)/f)/f**(2/25))/(f**(-3)*f**9/f) assuming f is positive.\n' | b'f**(-1784/425)\n' | deepmind/math_dataset |
b'Simplify ((x/x**(2/5)*x)**(18/5))**(-14)*x**(2/9)/x**(3/4)*(x*x**(1/2))**21 assuming x is positive.\n' | b'x**(-44701/900)\n' | b'Simplify ((x/x**(2/5)*x)**(18/5))**(-14)*x**(2/9)/x**(3/4)*(x*x**(1/2))**21 assuming x is positive.\n' | b'x**(-44701/900)\n' | deepmind/math_dataset |
b'Simplify (f**(-4)*f/(f*f*f**(3/13)/f*f))/((f*f/(f/(f**(-4/17)*f))*f*f)/(((f/f**48)/f)/f)) assuming f is positive.\n' | b'f**(-12817/221)\n' | b'Simplify (f**(-4)*f/(f*f*f**(3/13)/f*f))/((f*f/(f/(f**(-4/17)*f))*f*f)/(((f/f**48)/f)/f)) assuming f is positive.\n' | b'f**(-12817/221)\n' | deepmind/math_dataset |
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