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 a(h) = h**2 + 8*h + 19. Suppose 20*r - 30*r = -21*r - 44. What is a(r)?\n' | b'3\n' | b'Let a(h) = h**2 + 8*h + 19. Suppose 20*r - 30*r = -21*r - 44. What is a(r)?\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence gn when two letters picked without replacement from {g: 5, v: 1, a: 2, n: 1}.\n' | b'5/72\n' | b'Calculate prob of sequence gn when two letters picked without replacement from {g: 5, v: 1, a: 2, n: 1}.\n' | b'5/72\n' | deepmind/math_dataset |
b'Simplify (p**2)**(-43)/(p/((p*p/(p/((p*p*((p/p**(4/5))/p)/p)/p)))/p)*p**(-2/5))*(p*p*p/p**(-2/19)*p)/(p**(-4/9)*p)*p**(1/5)*p/p**(1/7) assuming p is positive.\n' | b'p**(-495517/5985)\n' | b'Simplify (p**2)**(-43)/(p/((p*p/(p/((p*p*((p/p**(4/5))/p)/p)/p)))/p)*p**(-2/5))*(p*p*p/p**(-2/19)*p)/(p**(-4/9)*p)*p**(1/5)*p/p**(1/7) assuming p is positive.\n' | b'p**(-495517/5985)\n' | deepmind/math_dataset |
b'Let b(j) = -j**3 + 9*j**2 - 11*j - 21. Let v be b(6). Suppose -7*d + 3*d = 60. Let q = d + v. Let a(m) = -m**3 + 6*m**2 + m. Calculate a(q).\n' | b'6\n' | b'Let b(j) = -j**3 + 9*j**2 - 11*j - 21. Let v be b(6). Suppose -7*d + 3*d = 60. Let q = d + v. Let a(m) = -m**3 + 6*m**2 + m. Calculate a(q).\n' | b'6\n' | deepmind/math_dataset |
b'Let a be 6*(-6)/4*272/(-153). Suppose a*u + u + u = 0. Let l(h) = 2*h - 4*h - 1 + 3*h. Give l(u).\n' | b'-1\n' | b'Let a be 6*(-6)/4*272/(-153). Suppose a*u + u + u = 0. Let l(h) = 2*h - 4*h - 1 + 3*h. Give l(u).\n' | b'-1\n' | deepmind/math_dataset |
b'Let f(h) = -h + 1. Let k(t) be the second derivative of -t**5/20 + t**4/2 - t**3/6 + 2*t**2 + 4*t. Let a = 4 + 2. Let d be k(a). What is f(d)?\n' | b'3\n' | b'Let f(h) = -h + 1. Let k(t) be the second derivative of -t**5/20 + t**4/2 - t**3/6 + 2*t**2 + 4*t. Let a = 4 + 2. Let d be k(a). What is f(d)?\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((g**(2/5))**(-41))**(1/7) assuming g is positive.\n' | b'g**(-82/35)\n' | b'Simplify ((g**(2/5))**(-41))**(1/7) assuming g is positive.\n' | b'g**(-82/35)\n' | deepmind/math_dataset |
b'Let z(a) be the second derivative of 139/6*a**3 + 0*a**6 + 0 + 0*a**5 + 0*a**2 - 281*a + 61/42*a**7 + 0*a**4. Find the second derivative of z(m) wrt m.\n' | b'1220*m**3\n' | b'Let z(a) be the second derivative of 139/6*a**3 + 0*a**6 + 0 + 0*a**5 + 0*a**2 - 281*a + 61/42*a**7 + 0*a**4. Find the second derivative of z(m) wrt m.\n' | b'1220*m**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence ayp when three letters picked without replacement from yavzpvvyyapyppn.\n' | b'16/1365\n' | b'Calculate prob of sequence ayp when three letters picked without replacement from yavzpvvyyapyppn.\n' | b'16/1365\n' | deepmind/math_dataset |
b'Let t(d) = 3*d + 2. Let l(s) = 2*s - 8. Let v be l(6). Let c(j) = 2*j - 2 + j - 2 - 6. Let o be c(v). What is t(o)?\n' | b'8\n' | b'Let t(d) = 3*d + 2. Let l(s) = 2*s - 8. Let v be l(6). Let c(j) = 2*j - 2 + j - 2 - 6. Let o be c(v). What is t(o)?\n' | b'8\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 v when two letters picked without replacement from bivvibivv.\n' | b'1/6\n' | b'Calculate prob of picking 2 v when two letters picked without replacement from bivvibivv.\n' | b'1/6\n' | deepmind/math_dataset |
b'Suppose 5*w - 48 = -3*d, 0 = 3*d + 4*w - 3*w - 48. Solve -3*o - o = -3*n + d, 3*o + 12 = -n for o.\n' | b'-4\n' | b'Suppose 5*w - 48 = -3*d, 0 = 3*d + 4*w - 3*w - 48. Solve -3*o - o = -3*n + d, 3*o + 12 = -n for o.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence hhz when three letters picked without replacement from {h: 7, z: 7}.\n' | b'7/52\n' | b'Calculate prob of sequence hhz when three letters picked without replacement from {h: 7, z: 7}.\n' | b'7/52\n' | deepmind/math_dataset |
b'What is prob of sequence www when three letters picked without replacement from {u: 1, y: 2, w: 1, o: 2, b: 6}?\n' | b'0\n' | b'What is prob of sequence www when three letters picked without replacement from {u: 1, y: 2, w: 1, o: 2, b: 6}?\n' | b'0\n' | deepmind/math_dataset |
b'Let r(z) = -z**3 + 15*z**2 + 19*z - 43. Let k be r(16). Solve -5*m - 2*a - 7 = 0, 4*a + 2 = -3*m + k*a for m.\n' | b'-1\n' | b'Let r(z) = -z**3 + 15*z**2 + 19*z - 43. Let k be r(16). Solve -5*m - 2*a - 7 = 0, 4*a + 2 = -3*m + k*a for m.\n' | b'-1\n' | deepmind/math_dataset |
b'Let n(m) be the second derivative of -1621*m**4/12 + 1400*m**2 - 147*m - 3. What is the first derivative of n(w) wrt w?\n' | b'-3242*w\n' | b'Let n(m) be the second derivative of -1621*m**4/12 + 1400*m**2 - 147*m - 3. What is the first derivative of n(w) wrt w?\n' | b'-3242*w\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 10}. Give prob of picking 4 h.\n' | b'1\n' | b'Four letters picked without replacement from {h: 10}. Give prob of picking 4 h.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence an when two letters picked without replacement from naannnaannannananana.\n' | b'99/380\n' | b'Calculate prob of sequence an when two letters picked without replacement from naannnaannannananana.\n' | b'99/380\n' | deepmind/math_dataset |
b'What is the first derivative of 8*y**2 + 5*y**2 - 30 - 34*y**2 wrt y?\n' | b'-42*y\n' | b'What is the first derivative of 8*y**2 + 5*y**2 - 30 - 34*y**2 wrt y?\n' | b'-42*y\n' | deepmind/math_dataset |
b'Let k(h) = -2*h + 11. Let l be k(4). Let w(j) be the third derivative of -5/24*j**4 + 0 - 3*j**2 + 1/3*j**3 - 1/30*j**5 + 1/120*j**6 + 0*j. What is w(l)?\n' | b'-4\n' | b'Let k(h) = -2*h + 11. Let l be k(4). Let w(j) be the third derivative of -5/24*j**4 + 0 - 3*j**2 + 1/3*j**3 - 1/30*j**5 + 1/120*j**6 + 0*j. What is w(l)?\n' | b'-4\n' | deepmind/math_dataset |
b'Let i = -8 + 4. Let x be -3 + i/(12/(-33)). Let a(y) = -y**3 + 9*y**2 - 6*y - 4. Let t be a(x). Solve 3*s - 12 - 7 = 2*h, 2*s = h + t for h.\n' | b'-2\n' | b'Let i = -8 + 4. Let x be -3 + i/(12/(-33)). Let a(y) = -y**3 + 9*y**2 - 6*y - 4. Let t be a(x). Solve 3*s - 12 - 7 = 2*h, 2*s = h + t for h.\n' | b'-2\n' | deepmind/math_dataset |
b'Let a be 7/2*416/112. Solve -4*x + a = -0*x - m, 5 = -x + 3*m for x.\n' | b'4\n' | b'Let a be 7/2*416/112. Solve -4*x + a = -0*x - m, 5 = -x + 3*m for x.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -317*a - 10 = -319*a. Solve -r = -5*k + 3*k + 13, 13 = 4*r + a*k for r.\n' | b'-3\n' | b'Suppose -317*a - 10 = -319*a. Solve -r = -5*k + 3*k + 13, 13 = 4*r + a*k for r.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence vbbb when four letters picked without replacement from {v: 7, b: 12}?\n' | b'385/3876\n' | b'What is prob of sequence vbbb when four letters picked without replacement from {v: 7, b: 12}?\n' | b'385/3876\n' | deepmind/math_dataset |
b'What is prob of picking 1 q, 1 j, and 1 d when three letters picked without replacement from {w: 1, f: 2, q: 3, d: 1, j: 6}?\n' | b'9/143\n' | b'What is prob of picking 1 q, 1 j, and 1 d when three letters picked without replacement from {w: 1, f: 2, q: 3, d: 1, j: 6}?\n' | b'9/143\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 b when two letters picked without replacement from bbbbb.\n' | b'1\n' | b'Calculate prob of picking 2 b when two letters picked without replacement from bbbbb.\n' | b'1\n' | deepmind/math_dataset |
b'Let u(y) = -2*y**2 - 7*y + 18. Let w be u(-6). Let x be ((-9)/w)/((-2)/8) + 9. Let n(i) = -i**3 + 7*i**2 - 7*i + 9. Determine n(x).\n' | b'3\n' | b'Let u(y) = -2*y**2 - 7*y + 18. Let w be u(-6). Let x be ((-9)/w)/((-2)/8) + 9. Let n(i) = -i**3 + 7*i**2 - 7*i + 9. Determine n(x).\n' | b'3\n' | deepmind/math_dataset |
b'Let t(l) = l**3 + l - 6*l**2 + l**3 + 3*l**2. Let x(f) = f**3 + 6*f**2 - 4. Let g be x(-6). Let d = 6 + g. Give t(d).\n' | b'6\n' | b'Let t(l) = l**3 + l - 6*l**2 + l**3 + 3*l**2. Let x(f) = f**3 + 6*f**2 - 4. Let g be x(-6). Let d = 6 + g. Give t(d).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify (x**(-12)*x)/(x*x**5*x)*x**7/(x*x/(x*x**(-1/4))) assuming x is positive.\n' | b'x**(-49/4)\n' | b'Simplify (x**(-12)*x)/(x*x**5*x)*x**7/(x*x/(x*x**(-1/4))) assuming x is positive.\n' | b'x**(-49/4)\n' | deepmind/math_dataset |
b'Let h = 24 - 9. Let w be 13 - 5*6/15. Suppose -5*i + w + 19 = 4*x, -5*x + 5*i = -15. Solve -2*z + x*c + h = 0, 0 = 5*c + 8 + 7 for z.\n' | b'0\n' | b'Let h = 24 - 9. Let w be 13 - 5*6/15. Suppose -5*i + w + 19 = 4*x, -5*x + 5*i = -15. Solve -2*z + x*c + h = 0, 0 = 5*c + 8 + 7 for z.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence lie when three letters picked without replacement from lleleligillliegle.\n' | b'2/85\n' | b'Calculate prob of sequence lie when three letters picked without replacement from lleleligillliegle.\n' | b'2/85\n' | deepmind/math_dataset |
b'Let s(f) be the first derivative of 62*f**2 + 37*f + 149. What is the first derivative of s(a) wrt a?\n' | b'124\n' | b'Let s(f) be the first derivative of 62*f**2 + 37*f + 149. What is the first derivative of s(a) wrt a?\n' | b'124\n' | deepmind/math_dataset |
b'Let i(b) = 64*b - 47. Let m(r) = 32*r - 24. Let q(c) = -6*i(c) + 14*m(c). What is the derivative of q(l) wrt l?\n' | b'64\n' | b'Let i(b) = 64*b - 47. Let m(r) = 32*r - 24. Let q(c) = -6*i(c) + 14*m(c). What is the derivative of q(l) wrt l?\n' | b'64\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 w when two letters picked without replacement from bmmmwmwmo.\n' | b'1/36\n' | b'Calculate prob of picking 2 w when two letters picked without replacement from bmmmwmwmo.\n' | b'1/36\n' | deepmind/math_dataset |
b'Simplify (u/u**(1/3))**4*(u/(u**2/u))**(-18/13) assuming u is positive.\n' | b'u**(8/3)\n' | b'Simplify (u/u**(1/3))**4*(u/(u**2/u))**(-18/13) assuming u is positive.\n' | b'u**(8/3)\n' | deepmind/math_dataset |
b'Let j(m) = 6*m - 4. Let x(a) = -a**3 + 9*a**2 + 11*a - 13. Let y be x(10). Give j(y).\n' | b'-22\n' | b'Let j(m) = 6*m - 4. Let x(a) = -a**3 + 9*a**2 + 11*a - 13. Let y be x(10). Give j(y).\n' | b'-22\n' | deepmind/math_dataset |
b'Let b be (2 + (-3)/3)*(-6)/(-36)*0. Solve -5*k - 1 = 5*r + 19, -4*r + 5*k - 16 = b for r.\n' | b'-4\n' | b'Let b be (2 + (-3)/3)*(-6)/(-36)*0. Solve -5*k - 1 = 5*r + 19, -4*r + 5*k - 16 = b for r.\n' | b'-4\n' | deepmind/math_dataset |
b'Let l(r) = -r**3 - 7*r**2 - 10*r + 10. Let j be l(-4). What is the derivative of -10*i**j + 44 + 694*i - 6*i**2 - 341*i - 349*i wrt i?\n' | b'-32*i + 4\n' | b'Let l(r) = -r**3 - 7*r**2 - 10*r + 10. Let j be l(-4). What is the derivative of -10*i**j + 44 + 694*i - 6*i**2 - 341*i - 349*i wrt i?\n' | b'-32*i + 4\n' | deepmind/math_dataset |
b'Suppose -5*o + 5*f - 16 = -6*o, 0 = 2*f + 6. Find the first derivative of 123*n + 14*n + 8*n - o*n + 78 + 69*n wrt n.\n' | b'183\n' | b'Suppose -5*o + 5*f - 16 = -6*o, 0 = 2*f + 6. Find the first derivative of 123*n + 14*n + 8*n - o*n + 78 + 69*n wrt n.\n' | b'183\n' | deepmind/math_dataset |
b'Simplify ((o*o*o**2*o)**22/(o**41*(o/(o**(1/22)/o))/o))**(-4/19) assuming o is positive.\n' | b'o**(-2994/209)\n' | b'Simplify ((o*o*o**2*o)**22/(o**41*(o/(o**(1/22)/o))/o))**(-4/19) assuming o is positive.\n' | b'o**(-2994/209)\n' | deepmind/math_dataset |
b'Suppose 109 - 219 = -22*l. Solve 0 = -3*z - 2*z - v - 7, -l*z = -4*v - 3 for z.\n' | b'-1\n' | b'Suppose 109 - 219 = -22*l. Solve 0 = -3*z - 2*z - v - 7, -l*z = -4*v - 3 for z.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence aqk when three letters picked without replacement from {j: 1, a: 1, k: 4, q: 11}.\n' | b'11/1020\n' | b'Calculate prob of sequence aqk when three letters picked without replacement from {j: 1, a: 1, k: 4, q: 11}.\n' | b'11/1020\n' | deepmind/math_dataset |
b'Simplify (r**(-4)*r*r**0)/(r**(-1/3))**(-3/10) assuming r is positive.\n' | b'r**(-31/10)\n' | b'Simplify (r**(-4)*r*r**0)/(r**(-1/3))**(-3/10) assuming r is positive.\n' | b'r**(-31/10)\n' | deepmind/math_dataset |
b'Let k(p) = -p**2 + 7*p - 3. Let b(z) = 0 - z**2 - 5 - 6*z - 3*z + 2*z. Let i be b(-5). What is k(i)?\n' | b'7\n' | b'Let k(p) = -p**2 + 7*p - 3. Let b(z) = 0 - z**2 - 5 - 6*z - 3*z + 2*z. Let i be b(-5). What is k(i)?\n' | b'7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zbqzzkpzzkzzkqzzkz. What is prob of picking 3 k?\n' | b'1/204\n' | b'Three letters picked without replacement from zbqzzkpzzkzzkqzzkz. What is prob of picking 3 k?\n' | b'1/204\n' | deepmind/math_dataset |
b'Let w(z) = z**2 + 6*z + 2. Suppose 0 = 14*p - 9*p. Suppose 3*q + 3 = -p. Let d be (-8 + q)/(3/2). Give w(d).\n' | b'2\n' | b'Let w(z) = z**2 + 6*z + 2. Suppose 0 = 14*p - 9*p. Suppose 3*q + 3 = -p. Let d be (-8 + q)/(3/2). Give w(d).\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from hhcehhep. What is prob of sequence hhc?\n' | b'1/28\n' | b'Three letters picked without replacement from hhcehhep. What is prob of sequence hhc?\n' | b'1/28\n' | deepmind/math_dataset |
b'Let c = -6 + 4. Let l be c/12 - 65/(-30). Solve b = 2*p - 4*b - 16, -16 = -4*p + l*b for p.\n' | b'3\n' | b'Let c = -6 + 4. Let l be c/12 - 65/(-30). Solve b = 2*p - 4*b - 16, -16 = -4*p + l*b for p.\n' | b'3\n' | deepmind/math_dataset |
b'Let r be 28/10 + (-18)/(-90). Let g(y) = 5*y**2 - 3*y - 10. Let i(l) = l**2 - l - 1. Let v(j) = -g(j) + 6*i(j). What is v(r)?\n' | b'4\n' | b'Let r be 28/10 + (-18)/(-90). Let g(y) = 5*y**2 - 3*y - 10. Let i(l) = l**2 - l - 1. Let v(j) = -g(j) + 6*i(j). What is v(r)?\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence cwcc when four letters picked without replacement from cccccccwcccccwcccccc?\n' | b'8/95\n' | b'What is prob of sequence cwcc when four letters picked without replacement from cccccccwcccccwcccccc?\n' | b'8/95\n' | deepmind/math_dataset |
b'Let m(s) be the third derivative of 7*s**7/15 + 11*s**3/2 - 52*s**2. Differentiate m(x) wrt x.\n' | b'392*x**3\n' | b'Let m(s) be the third derivative of 7*s**7/15 + 11*s**3/2 - 52*s**2. Differentiate m(x) wrt x.\n' | b'392*x**3\n' | deepmind/math_dataset |
b'What is prob of picking 2 w when two letters picked without replacement from xwxwxww?\n' | b'2/7\n' | b'What is prob of picking 2 w when two letters picked without replacement from xwxwxww?\n' | b'2/7\n' | deepmind/math_dataset |
b'Let v(c) = c**3 - 3*c**2 - 5*c + 6. Let z be v(4). Solve -d - 1 = x + z, 3*x = 5*d + 15 for x.\n' | b'0\n' | b'Let v(c) = c**3 - 3*c**2 - 5*c + 6. Let z be v(4). Solve -d - 1 = x + z, 3*x = 5*d + 15 for x.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 4, x: 2, v: 1, y: 1, q: 2}. What is prob of picking 1 y and 1 v?\n' | b'1/45\n' | b'Two letters picked without replacement from {n: 4, x: 2, v: 1, y: 1, q: 2}. What is prob of picking 1 y and 1 v?\n' | b'1/45\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {n: 1, x: 8, w: 4, u: 1, e: 1}. Give prob of sequence xwwx.\n' | b'4/195\n' | b'Four letters picked without replacement from {n: 1, x: 8, w: 4, u: 1, e: 1}. Give prob of sequence xwwx.\n' | b'4/195\n' | deepmind/math_dataset |
b'Simplify ((c/((c*(c/(c/(c/(c*c*c/(c/(c/(c*c*c/c**14*c)*c))))))/c)/c))/c**(-1/6))/((c**(-3/4)*c)/c*c*(c*c/(c**(-5)/c))/c) assuming c is positive.\n' | b'c**(95/12)\n' | b'Simplify ((c/((c*(c/(c/(c/(c*c*c/(c/(c/(c*c*c/c**14*c)*c))))))/c)/c))/c**(-1/6))/((c**(-3/4)*c)/c*c*(c*c/(c**(-5)/c))/c) assuming c is positive.\n' | b'c**(95/12)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qgggggqgggqgqq. Give prob of sequence qgq.\n' | b'15/182\n' | b'Three letters picked without replacement from qgggggqgggqgqq. Give prob of sequence qgq.\n' | b'15/182\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 1, b: 4, w: 3, y: 1, r: 4}. What is prob of sequence rya?\n' | b'1/429\n' | b'Three letters picked without replacement from {a: 1, b: 4, w: 3, y: 1, r: 4}. What is prob of sequence rya?\n' | b'1/429\n' | deepmind/math_dataset |
b'Let z = -17 + 20. Solve c + c - 3*d = -1, c + 5 = -z*d for c.\n' | b'-2\n' | b'Let z = -17 + 20. Solve c + c - 3*d = -1, c + 5 = -z*d for c.\n' | b'-2\n' | deepmind/math_dataset |
b'Let l(f) = -3*f - 8. Let b be l(-9). What is the derivative of -13 + 24 + c - b wrt c?\n' | b'1\n' | b'Let l(f) = -3*f - 8. Let b be l(-9). What is the derivative of -13 + 24 + c - b wrt c?\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 1 p and 1 s when two letters picked without replacement from {r: 1, s: 2, p: 2, c: 1}?\n' | b'4/15\n' | b'What is prob of picking 1 p and 1 s when two letters picked without replacement from {r: 1, s: 2, p: 2, c: 1}?\n' | b'4/15\n' | deepmind/math_dataset |
b'Suppose 3*n - 4*n + 5*i + 13 = 0, -5*n = -3*i - 21. Solve -2*l - n*k = l + 12, -5*k = -4*l - 16 for l.\n' | b'-4\n' | b'Suppose 3*n - 4*n + 5*i + 13 = 0, -5*n = -3*i - 21. Solve -2*l - n*k = l + 12, -5*k = -4*l - 16 for l.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qiiqiiqiqqqiiir. What is prob of picking 1 r and 1 i?\n' | b'8/105\n' | b'Two letters picked without replacement from qiiqiiqiqqqiiir. What is prob of picking 1 r and 1 i?\n' | b'8/105\n' | deepmind/math_dataset |
b'Let w be 9 + (-12 - -11) - 5. Let r(i) = -3*i + 4. Let a be r(3). Let h be 36/10 + (-2)/a. Solve w*c = y - 11, c = 4*c + 2*y - h for c.\n' | b'-2\n' | b'Let w be 9 + (-12 - -11) - 5. Let r(i) = -3*i + 4. Let a be r(3). Let h be 36/10 + (-2)/a. Solve w*c = y - 11, c = 4*c + 2*y - h for c.\n' | b'-2\n' | deepmind/math_dataset |
b'Let y(u) be the second derivative of -u**5/20 + 11*u**3/6 + u. What is the second derivative of y(x) wrt x?\n' | b'-6*x\n' | b'Let y(u) be the second derivative of -u**5/20 + 11*u**3/6 + u. What is the second derivative of y(x) wrt x?\n' | b'-6*x\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 q and 2 i when three letters picked without replacement from {y: 1, q: 1, x: 2, i: 4, o: 3}.\n' | b'2/55\n' | b'Calculate prob of picking 1 q and 2 i when three letters picked without replacement from {y: 1, q: 1, x: 2, i: 4, o: 3}.\n' | b'2/55\n' | deepmind/math_dataset |
b'Let t(g) = -g**2 - 11*g + 21. Let y be t(-12). Solve 0*h + h + 3*m - 1 = 0, 3*h + y = -3*m for h.\n' | b'-5\n' | b'Let t(g) = -g**2 - 11*g + 21. Let y be t(-12). Solve 0*h + h + 3*m - 1 = 0, 3*h + y = -3*m for h.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 f and 2 w when three letters picked without replacement from wqqwfwtw.\n' | b'3/28\n' | b'Calculate prob of picking 1 f and 2 w when three letters picked without replacement from wqqwfwtw.\n' | b'3/28\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bszs. What is prob of sequence sz?\n' | b'1/6\n' | b'Two letters picked without replacement from bszs. What is prob of sequence sz?\n' | b'1/6\n' | deepmind/math_dataset |
b'Simplify (r*r/(r*r**(-5/7))*r*r*(r/(r*r**3))/r)**(-9)*(r*r/(r/((r**(2/7)*r)/r)*r))/r*r*r*r**(-4)*r*(r**(-2/3))**(-7) assuming r is positive.\n' | b'r**(116/21)\n' | b'Simplify (r*r/(r*r**(-5/7))*r*r*(r/(r*r**3))/r)**(-9)*(r*r/(r/((r**(2/7)*r)/r)*r))/r*r*r*r**(-4)*r*(r**(-2/3))**(-7) assuming r is positive.\n' | b'r**(116/21)\n' | deepmind/math_dataset |
b'Let p(k) be the second derivative of 11*k**4/12 + k**3/3 - k**2/2 - k. Let b(q) = 3*q**3 + 5*q**2 + 6*q + 2. Let y be b(-2). Let c = y - -15. Determine p(c).\n' | b'12\n' | b'Let p(k) be the second derivative of 11*k**4/12 + k**3/3 - k**2/2 - k. Let b(q) = 3*q**3 + 5*q**2 + 6*q + 2. Let y be b(-2). Let c = y - -15. Determine p(c).\n' | b'12\n' | deepmind/math_dataset |
b'Let h be 0*(-2 - -1)*1. Let p be (2 + -3)*(-2 + h). Differentiate 2*a**2 + p - 2 + 2 wrt a.\n' | b'4*a\n' | b'Let h be 0*(-2 - -1)*1. Let p be (2 + -3)*(-2 + h). Differentiate 2*a**2 + p - 2 + 2 wrt a.\n' | b'4*a\n' | deepmind/math_dataset |
b'Find the second derivative of -3*n + 18*n**5 - 63*n**2 - 2*n + 63*n**2 wrt n.\n' | b'360*n**3\n' | b'Find the second derivative of -3*n + 18*n**5 - 63*n**2 - 2*n + 63*n**2 wrt n.\n' | b'360*n**3\n' | deepmind/math_dataset |
b'Find the second derivative of -435*z**5 - 117*z - 293*z - 5175*z - 3*z**3 - 272*z wrt z.\n' | b'-8700*z**3 - 18*z\n' | b'Find the second derivative of -435*z**5 - 117*z - 293*z - 5175*z - 3*z**3 - 272*z wrt z.\n' | b'-8700*z**3 - 18*z\n' | deepmind/math_dataset |
b'Simplify (m/m**(-12)*(m/m**(-5))/m)/((m*m**9*m)/(m/m**(1/3))) assuming m is positive.\n' | b'm**(23/3)\n' | b'Simplify (m/m**(-12)*(m/m**(-5))/m)/((m*m**9*m)/(m/m**(1/3))) assuming m is positive.\n' | b'm**(23/3)\n' | deepmind/math_dataset |
b'Let b(f) = 7742*f + 17394. Let h(n) = -2581*n - 5793. Let t(u) = -3*b(u) - 8*h(u). Differentiate t(p) with respect to p.\n' | b'-2578\n' | b'Let b(f) = 7742*f + 17394. Let h(n) = -2581*n - 5793. Let t(u) = -3*b(u) - 8*h(u). Differentiate t(p) with respect to p.\n' | b'-2578\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 3, d: 1, e: 2, n: 1}. What is prob of picking 1 x, 1 n, and 1 e?\n' | b'6/35\n' | b'Three letters picked without replacement from {x: 3, d: 1, e: 2, n: 1}. What is prob of picking 1 x, 1 n, and 1 e?\n' | b'6/35\n' | deepmind/math_dataset |
b'Suppose -p - 17 - 420 = 0. Let y = p + 465. Solve y = 2*g + 4*w, 0 = 4*g - 5*g + 5*w - 21 for g.\n' | b'4\n' | b'Suppose -p - 17 - 420 = 0. Let y = p + 465. Solve y = 2*g + 4*w, 0 = 4*g - 5*g + 5*w - 21 for g.\n' | b'4\n' | deepmind/math_dataset |
b'Let g be (0 - -1)*7 - 2. Let h(u) = 6*u - 3. Let o be h(2). Let m be 0*(-3)/o + 1. Solve 4*k - m = -2*i + 13, 34 = -3*i + g*k for i.\n' | b'-3\n' | b'Let g be (0 - -1)*7 - 2. Let h(u) = 6*u - 3. Let o be h(2). Let m be 0*(-3)/o + 1. Solve 4*k - m = -2*i + 13, 34 = -3*i + g*k for i.\n' | b'-3\n' | deepmind/math_dataset |
b'Let u be 12/(-48) + (-29)/(-4). Let g = -7 + u. Solve -2*m - 14 = -g*y - 2*y, -2*m - 18 = -4*y for m.\n' | b'-5\n' | b'Let u be 12/(-48) + (-29)/(-4). Let g = -7 + u. Solve -2*m - 14 = -g*y - 2*y, -2*m - 18 = -4*y for m.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (k**(-1/2))**(-3/19)*(k**1/k)**(-10) assuming k is positive.\n' | b'k**(3/38)\n' | b'Simplify (k**(-1/2))**(-3/19)*(k**1/k)**(-10) assuming k is positive.\n' | b'k**(3/38)\n' | deepmind/math_dataset |
b'What is the first derivative of 115 - 20 + 40 + 53 + 34*q wrt q?\n' | b'34\n' | b'What is the first derivative of 115 - 20 + 40 + 53 + 34*q wrt q?\n' | b'34\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 9, q: 5}. Give prob of picking 2 q.\n' | b'10/91\n' | b'Two letters picked without replacement from {d: 9, q: 5}. Give prob of picking 2 q.\n' | b'10/91\n' | deepmind/math_dataset |
b'Simplify (o/(o*(o*o*((o/((o*o/o**(-1/13))/o))/o)/o)/o*o)*(o*o**(-3/14))/o*(o*o**(-2/5))/o**(-12))**(-16) assuming o is positive.\n' | b'o**(-90728/455)\n' | b'Simplify (o/(o*(o*o*((o/((o*o/o**(-1/13))/o))/o)/o)/o*o)*(o*o**(-3/14))/o*(o*o**(-2/5))/o**(-12))**(-16) assuming o is positive.\n' | b'o**(-90728/455)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b and 2 s when three letters picked without replacement from {b: 2, s: 10}.\n' | b'9/22\n' | b'Calculate prob of picking 1 b and 2 s when three letters picked without replacement from {b: 2, s: 10}.\n' | b'9/22\n' | deepmind/math_dataset |
b'Simplify (p**20*p)**(2/33)/(p/((p/(p**(-34)/p))/p)*p**4) assuming p is positive.\n' | b'p**(344/11)\n' | b'Simplify (p**20*p)**(2/33)/(p/((p/(p**(-34)/p))/p)*p**4) assuming p is positive.\n' | b'p**(344/11)\n' | deepmind/math_dataset |
b'Let a(x) be the first derivative of x**4/4 + x**3 - 3*x**2/2 + 9*x + 3945. Determine a(-5).\n' | b'-26\n' | b'Let a(x) be the first derivative of x**4/4 + x**3 - 3*x**2/2 + 9*x + 3945. Determine a(-5).\n' | b'-26\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 2 j when three letters picked without replacement from {b: 5, s: 3, j: 2, e: 2, f: 7, a: 1}?\n' | b'1/570\n' | b'What is prob of picking 1 e and 2 j when three letters picked without replacement from {b: 5, s: 3, j: 2, e: 2, f: 7, a: 1}?\n' | b'1/570\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 3, c: 1, x: 1, h: 1, k: 2, m: 4}. What is prob of sequence hmm?\n' | b'1/110\n' | b'Three letters picked without replacement from {a: 3, c: 1, x: 1, h: 1, k: 2, m: 4}. What is prob of sequence hmm?\n' | b'1/110\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 4, r: 1, m: 1, y: 4}. Give prob of picking 2 y.\n' | b'2/15\n' | b'Two letters picked without replacement from {f: 4, r: 1, m: 1, y: 4}. Give prob of picking 2 y.\n' | b'2/15\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jcjccjxxjcj. Give prob of sequence jcc.\n' | b'2/33\n' | b'Three letters picked without replacement from jcjccjxxjcj. Give prob of sequence jcc.\n' | b'2/33\n' | deepmind/math_dataset |
b'Simplify ((s**(-7/8))**(1/14)*s**(17/4)*s**38)**(-13) assuming s is positive.\n' | b's**(-8775/16)\n' | b'Simplify ((s**(-7/8))**(1/14)*s**(17/4)*s**38)**(-13) assuming s is positive.\n' | b's**(-8775/16)\n' | deepmind/math_dataset |
b'What is prob of picking 2 f when two letters picked without replacement from {f: 4, g: 2, w: 5}?\n' | b'6/55\n' | b'What is prob of picking 2 f when two letters picked without replacement from {f: 4, g: 2, w: 5}?\n' | b'6/55\n' | deepmind/math_dataset |
b'Simplify (n**(-1/3))**1*((n*n**(2/9))/n)/((n**4/n*n)/n) assuming n is positive.\n' | b'n**(-28/9)\n' | b'Simplify (n**(-1/3))**1*((n*n**(2/9))/n)/((n**4/n*n)/n) assuming n is positive.\n' | b'n**(-28/9)\n' | deepmind/math_dataset |
b'Simplify (h**(2/7))**43 assuming h is positive.\n' | b'h**(86/7)\n' | b'Simplify (h**(2/7))**43 assuming h is positive.\n' | b'h**(86/7)\n' | deepmind/math_dataset |
b'Let d(x) be the first derivative of 157*x**6/2 + 324*x**3 + 302. Find the third derivative of d(t) wrt t.\n' | b'28260*t**2\n' | b'Let d(x) be the first derivative of 157*x**6/2 + 324*x**3 + 302. Find the third derivative of d(t) wrt t.\n' | b'28260*t**2\n' | deepmind/math_dataset |
b'Suppose -7*h - 31 = -66. Let f(u) = 11 + 4*u - u - 4*u. Give f(h).\n' | b'6\n' | b'Suppose -7*h - 31 = -66. Let f(u) = 11 + 4*u - u - 4*u. Give f(h).\n' | b'6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from tetekpkkeeeceket. What is prob of sequence etp?\n' | b'1/160\n' | b'Three letters picked without replacement from tetekpkkeeeceket. What is prob of sequence etp?\n' | b'1/160\n' | deepmind/math_dataset |
b'Let s = -270 + 273. Find the second derivative of 3*d**2 - 171*d - 209 - 6*d**2 + 98*d**4 + s*d**2 + 207 wrt d.\n' | b'1176*d**2\n' | b'Let s = -270 + 273. Find the second derivative of 3*d**2 - 171*d - 209 - 6*d**2 + 98*d**4 + s*d**2 + 207 wrt d.\n' | b'1176*d**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hddhssfhhheh. Give prob of picking 1 e and 1 s.\n' | b'1/33\n' | b'Two letters picked without replacement from hddhssfhhheh. Give prob of picking 1 e and 1 s.\n' | b'1/33\n' | deepmind/math_dataset |
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