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 be (-1428)/15 - 3/(-15). Let q = r + 79. Let s be 42/8 + -2 - (-4)/q. Solve -4*z + 4*b = z - 8, 5*z - s*b - 11 = 0 for z.\n' | b'4\n' | b'Let r be (-1428)/15 - 3/(-15). Let q = r + 79. Let s be 42/8 + -2 - (-4)/q. Solve -4*z + 4*b = z - 8, 5*z - s*b - 11 = 0 for z.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -3*c = d, 1 + 2 = 3*c. Let a be -1 + -2*d/(-6). Let b(z) = 2*z - 2. Give b(a).\n' | b'-6\n' | b'Suppose -3*c = d, 1 + 2 = 3*c. Let a be -1 + -2*d/(-6). Let b(z) = 2*z - 2. Give b(a).\n' | b'-6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nnnmmmnnnnm. What is prob of picking 3 n?\n' | b'7/33\n' | b'Three letters picked without replacement from nnnmmmnnnnm. What is prob of picking 3 n?\n' | b'7/33\n' | deepmind/math_dataset |
b'What is prob of sequence cc when two letters picked without replacement from {u: 1, h: 2, c: 2}?\n' | b'1/10\n' | b'What is prob of sequence cc when two letters picked without replacement from {u: 1, h: 2, c: 2}?\n' | b'1/10\n' | deepmind/math_dataset |
b'Suppose -2*r = 3*v - 14, -4*r + 8 + 0 = v. Solve -2*f = 2*t - 12 + 4, -5*t = v*f - 16 for f.\n' | b'4\n' | b'Suppose -2*r = 3*v - 14, -4*r + 8 + 0 = v. Solve -2*f = 2*t - 12 + 4, -5*t = v*f - 16 for f.\n' | b'4\n' | deepmind/math_dataset |
b'Let r be (-1 - 0) + -2 + -1. Let f = 17 + -12. Let k(x) = 2*x + x + f + 1. Determine k(r).\n' | b'-6\n' | b'Let r be (-1 - 0) + -2 + -1. Let f = 17 + -12. Let k(x) = 2*x + x + f + 1. Determine k(r).\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify ((i**(2/5)/i)/(i**(4/5)*i)*(i/(i/(i/i**(2/11))))/i**(2/9))/(((i**(-2/9)*i)/i*i)/(i*i*i*i**(-3/2))*i**(1/8)*i**(-1/10)*i) assuming i is positive.\n' | b'i**(-927/440)\n' | b'Simplify ((i**(2/5)/i)/(i**(4/5)*i)*(i/(i/(i/i**(2/11))))/i**(2/9))/(((i**(-2/9)*i)/i*i)/(i*i*i*i**(-3/2))*i**(1/8)*i**(-1/10)*i) assuming i is positive.\n' | b'i**(-927/440)\n' | deepmind/math_dataset |
b'Find the second derivative of 20695 - 1698*m - 20695 - 12*m**4 + 1286*m**4 + 492*m**4 wrt m.\n' | b'21192*m**2\n' | b'Find the second derivative of 20695 - 1698*m - 20695 - 12*m**4 + 1286*m**4 + 492*m**4 wrt m.\n' | b'21192*m**2\n' | deepmind/math_dataset |
b'Simplify (b**(2/7)*b*b)**(31/3)*(b**(-3/2)*b)/b**(-4) assuming b is positive.\n' | b'b**(1139/42)\n' | b'Simplify (b**(2/7)*b*b)**(31/3)*(b**(-3/2)*b)/b**(-4) assuming b is positive.\n' | b'b**(1139/42)\n' | deepmind/math_dataset |
b'Let y(c) = -c**2 + c - 1. Let b(a) = a**3 + 11*a**2 + 4*a + 11. Let t(d) = b(d) + 4*y(d). Let s be t(-6). Let n(l) = l**2 + 5*l + 1. Calculate n(s).\n' | b'1\n' | b'Let y(c) = -c**2 + c - 1. Let b(a) = a**3 + 11*a**2 + 4*a + 11. Let t(d) = b(d) + 4*y(d). Let s be t(-6). Let n(l) = l**2 + 5*l + 1. Calculate n(s).\n' | b'1\n' | deepmind/math_dataset |
b'Let z be (2/(-8)*-4)/(5/10). Suppose -r = z - 3. Let l(p) = -p - 1. Calculate l(r).\n' | b'-2\n' | b'Let z be (2/(-8)*-4)/(5/10). Suppose -r = z - 3. Let l(p) = -p - 1. Calculate l(r).\n' | b'-2\n' | deepmind/math_dataset |
b'Let c be (-2)/(-8) + (-7408)/(-64). What is the derivative of -181*o**4 - 31 + 97*o**4 + c*o**4 wrt o?\n' | b'128*o**3\n' | b'Let c be (-2)/(-8) + (-7408)/(-64). What is the derivative of -181*o**4 - 31 + 97*o**4 + c*o**4 wrt o?\n' | b'128*o**3\n' | deepmind/math_dataset |
b'Simplify ((t/(t/(t/((t*t*t**(2/19)*t*t)/t)))*t)/t**(-4)*(t*((t/(t/t**0*t))/t)/t)**(-10))**18 assuming t is positive.\n' | b't**(7830/19)\n' | b'Simplify ((t/(t/(t/((t*t*t**(2/19)*t*t)/t)))*t)/t**(-4)*(t*((t/(t/t**0*t))/t)/t)**(-10))**18 assuming t is positive.\n' | b't**(7830/19)\n' | deepmind/math_dataset |
b'Suppose 3*w - 7 - 14 = 3*p, -5*p - 27 = -w. Solve -w*h - m - 3 = 0, -2*m + 10 = -0 for h.\n' | b'-4\n' | b'Suppose 3*w - 7 - 14 = 3*p, -5*p - 27 = -w. Solve -w*h - m - 3 = 0, -2*m + 10 = -0 for h.\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {k: 1, a: 2, r: 2, t: 4, y: 5}. What is prob of picking 1 y, 2 a, and 1 r?\n' | b'10/1001\n' | b'Four letters picked without replacement from {k: 1, a: 2, r: 2, t: 4, y: 5}. What is prob of picking 1 y, 2 a, and 1 r?\n' | b'10/1001\n' | deepmind/math_dataset |
b'Let v(g) be the first derivative of g**3 - 4*g - 1. What is the derivative of v(s) wrt s?\n' | b'6*s\n' | b'Let v(g) be the first derivative of g**3 - 4*g - 1. What is the derivative of v(s) wrt s?\n' | b'6*s\n' | deepmind/math_dataset |
b'Suppose 5*x + 4 = 9. Let y(u) = -x - 4 - 1 - 3*u. Suppose 24 = -4*v + s, s = 5*v + 22 + 7. What is y(v)?\n' | b'9\n' | b'Suppose 5*x + 4 = 9. Let y(u) = -x - 4 - 1 - 3*u. Suppose 24 = -4*v + s, s = 5*v + 22 + 7. What is y(v)?\n' | b'9\n' | deepmind/math_dataset |
b'Let n be (-27)/3 + (-8)/(-2). Let z = n + 8. Solve 4*b - 5*b + z*v = 8, 4*b - 2*v + 22 = 0 for b.\n' | b'-5\n' | b'Let n be (-27)/3 + (-8)/(-2). Let z = n + 8. Solve 4*b - 5*b + z*v = 8, 4*b - 2*v + 22 = 0 for b.\n' | b'-5\n' | deepmind/math_dataset |
b'Differentiate -25*s + 2 - 6 - 8*s + 14*s wrt s.\n' | b'-19\n' | b'Differentiate -25*s + 2 - 6 - 8*s + 14*s wrt s.\n' | b'-19\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 1, b: 4, n: 4, w: 1}. Give prob of picking 2 b and 1 w.\n' | b'1/20\n' | b'Three letters picked without replacement from {i: 1, b: 4, n: 4, w: 1}. Give prob of picking 2 b and 1 w.\n' | b'1/20\n' | deepmind/math_dataset |
b'Simplify (h**(-1)*((h*h**(-6))/h*h)/h)**44*((((h*h/h**(-1/9)*h)/h)/h)/h*h**(2/9))/(h**(-2)*h**(-2/11)*h) assuming h is positive.\n' | b'h**(-10114/33)\n' | b'Simplify (h**(-1)*((h*h**(-6))/h*h)/h)**44*((((h*h/h**(-1/9)*h)/h)/h)/h*h**(2/9))/(h**(-2)*h**(-2/11)*h) assuming h is positive.\n' | b'h**(-10114/33)\n' | deepmind/math_dataset |
b'What is prob of sequence mmkm when four letters picked without replacement from skmkkkkmmmkkmkkmk?\n' | b'5/238\n' | b'What is prob of sequence mmkm when four letters picked without replacement from skmkkkkmmmkkmkkmk?\n' | b'5/238\n' | deepmind/math_dataset |
b'Let u(q) = -1. Let r(n) = -4*n**3 + 3*n**2 - 4. Let x(h) = r(h) - 4*u(h). Find the third derivative of x(t) wrt t.\n' | b'-24\n' | b'Let u(q) = -1. Let r(n) = -4*n**3 + 3*n**2 - 4. Let x(h) = r(h) - 4*u(h). Find the third derivative of x(t) wrt t.\n' | b'-24\n' | deepmind/math_dataset |
b'Simplify (m/(m/(m/(m*(((m**1/m*m*m)/m)/m)/m)*m)))**(22/7)/(m*m*m**(-7))**(-5/6) assuming m is positive.\n' | b'm**(89/42)\n' | b'Simplify (m/(m/(m/(m*(((m**1/m*m*m)/m)/m)/m)*m)))**(22/7)/(m*m*m**(-7))**(-5/6) assuming m is positive.\n' | b'm**(89/42)\n' | deepmind/math_dataset |
b'Let k(h) = 6*h**3 + 25*h**2 + 26*h + 29. Let y(x) = -x**3 - 5*x**2 - 5*x - 6. Let t(d) = 2*k(d) + 11*y(d). What is t(6)?\n' | b'10\n' | b'Let k(h) = 6*h**3 + 25*h**2 + 26*h + 29. Let y(x) = -x**3 - 5*x**2 - 5*x - 6. Let t(d) = 2*k(d) + 11*y(d). What is t(6)?\n' | b'10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 4, r: 6}. What is prob of sequence tt?\n' | b'2/15\n' | b'Two letters picked without replacement from {t: 4, r: 6}. What is prob of sequence tt?\n' | b'2/15\n' | deepmind/math_dataset |
b'Let g(r) = -r**2 - 5*r + 17. Let p be g(-7). What is the third derivative of 8*t**2 - 12*t**2 + 9*t**2 - 3*t**p wrt t?\n' | b'-18\n' | b'Let g(r) = -r**2 - 5*r + 17. Let p be g(-7). What is the third derivative of 8*t**2 - 12*t**2 + 9*t**2 - 3*t**p wrt t?\n' | b'-18\n' | deepmind/math_dataset |
b'Simplify (r**11)**(3/8) assuming r is positive.\n' | b'r**(33/8)\n' | b'Simplify (r**11)**(3/8) assuming r is positive.\n' | b'r**(33/8)\n' | deepmind/math_dataset |
b'Calculate prob of sequence el when two letters picked without replacement from lell.\n' | b'1/4\n' | b'Calculate prob of sequence el when two letters picked without replacement from lell.\n' | b'1/4\n' | deepmind/math_dataset |
b'Let k(l) be the third derivative of 31*l**9/126 + 3*l**5/10 - 13*l**4/24 + 6*l**2 - 20*l. What is the third derivative of k(z) wrt z?\n' | b'14880*z**3\n' | b'Let k(l) be the third derivative of 31*l**9/126 + 3*l**5/10 - 13*l**4/24 + 6*l**2 - 20*l. What is the third derivative of k(z) wrt z?\n' | b'14880*z**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence qq when two letters picked without replacement from ndobbqnqdbddkbd.\n' | b'1/105\n' | b'Calculate prob of sequence qq when two letters picked without replacement from ndobbqnqdbddkbd.\n' | b'1/105\n' | deepmind/math_dataset |
b'Let s be (-8)/2*(-1)/2. Suppose -q - 4 = -s*q. Suppose 0 = 3*t + q - 10. Solve t*o = -2*k + 12, 2*k = -0*k - 3*o + 14 for k.\n' | b'4\n' | b'Let s be (-8)/2*(-1)/2. Suppose -q - 4 = -s*q. Suppose 0 = 3*t + q - 10. Solve t*o = -2*k + 12, 2*k = -0*k - 3*o + 14 for k.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -362*n + 354*n = 0. Solve -5*h - 2 = -2*z, n = -2*z + 8 - 16 for h.\n' | b'-2\n' | b'Suppose -362*n + 354*n = 0. Solve -5*h - 2 = -2*z, n = -2*z + 8 - 16 for h.\n' | b'-2\n' | deepmind/math_dataset |
b'Let j(i) = -2 + 3 - i**3 + 2*i - 4. Give j(2).\n' | b'-7\n' | b'Let j(i) = -2 + 3 - i**3 + 2*i - 4. Give j(2).\n' | b'-7\n' | deepmind/math_dataset |
b'What is the second derivative of -4 + 5 - 16*t**5 - 11*t - 4*t**5 wrt t?\n' | b'-400*t**3\n' | b'What is the second derivative of -4 + 5 - 16*t**5 - 11*t - 4*t**5 wrt t?\n' | b'-400*t**3\n' | deepmind/math_dataset |
b'Suppose v = -4*v - 10. Let p be v/4*4 + 12. What is the second derivative of -34*s + 46*s - 25*s + p*s**3 wrt s?\n' | b'60*s\n' | b'Suppose v = -4*v - 10. Let p be v/4*4 + 12. What is the second derivative of -34*s + 46*s - 25*s + p*s**3 wrt s?\n' | b'60*s\n' | deepmind/math_dataset |
b'Let z(a) = -6302*a**3 - 9*a**2 - 18*a - 2499. Let w(k) = -3151*k**3 - 4*k**2 - 8*k - 1250. Let n(h) = -9*w(h) + 4*z(h). Find the first derivative of n(o) wrt o.\n' | b'9453*o**2\n' | b'Let z(a) = -6302*a**3 - 9*a**2 - 18*a - 2499. Let w(k) = -3151*k**3 - 4*k**2 - 8*k - 1250. Let n(h) = -9*w(h) + 4*z(h). Find the first derivative of n(o) wrt o.\n' | b'9453*o**2\n' | deepmind/math_dataset |
b'Suppose 4*j + 4*q = -q - 2, -12 = -3*j + 3*q. Solve 2 = 4*v - j*v + 3*l, v = 4*l - 10 for v.\n' | b'-2\n' | b'Suppose 4*j + 4*q = -q - 2, -12 = -3*j + 3*q. Solve 2 = 4*v - j*v + 3*l, v = 4*l - 10 for v.\n' | b'-2\n' | deepmind/math_dataset |
b'Let z(p) = 15 + 0*p + 4*p - 2*p - 9. Let n be z(0). Let t(s) = s**3 + 5*s**2 + 3*s - 4. Let m be t(-3). Solve 4*v + n*b + 20 = b, -v - m = -5*b for v.\n' | b'-5\n' | b'Let z(p) = 15 + 0*p + 4*p - 2*p - 9. Let n be z(0). Let t(s) = s**3 + 5*s**2 + 3*s - 4. Let m be t(-3). Solve 4*v + n*b + 20 = b, -v - m = -5*b for v.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 7*g - 108 = g. Suppose 0 = g*b - 23*b + 15. Solve l + l = -4*a, -a + b*l = 0 for a.\n' | b'0\n' | b'Suppose 7*g - 108 = g. Suppose 0 = g*b - 23*b + 15. Solve l + l = -4*a, -a + b*l = 0 for a.\n' | b'0\n' | deepmind/math_dataset |
b'Let v(k) = k**3 - 1. Let j(s) = 5*s**3 + 12*s**2 - s - 11. Let r(m) = j(m) - 4*v(m). Let o be r(-12). Solve -4*p + o*g = -15, 0 = -4*g + 4 for p.\n' | b'5\n' | b'Let v(k) = k**3 - 1. Let j(s) = 5*s**3 + 12*s**2 - s - 11. Let r(m) = j(m) - 4*v(m). Let o be r(-12). Solve -4*p + o*g = -15, 0 = -4*g + 4 for p.\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 1, i: 2, x: 1, v: 3, r: 2, z: 6}. Give prob of sequence imv.\n' | b'1/455\n' | b'Three letters picked without replacement from {m: 1, i: 2, x: 1, v: 3, r: 2, z: 6}. Give prob of sequence imv.\n' | b'1/455\n' | deepmind/math_dataset |
b'Find the second derivative of -d**2 + 7*d**2 + 5*d - 3*d - 5*d**2 wrt d.\n' | b'2\n' | b'Find the second derivative of -d**2 + 7*d**2 + 5*d - 3*d - 5*d**2 wrt d.\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 8, o: 5}. What is prob of sequence ooh?\n' | b'40/429\n' | b'Three letters picked without replacement from {h: 8, o: 5}. What is prob of sequence ooh?\n' | b'40/429\n' | deepmind/math_dataset |
b'Simplify ((z*z*z/z**(-2/3))/z*z)/(z/(z/z**(-6)*z*z)*z)*(z**(-1))**(-10) assuming z is positive.\n' | b'z**(62/3)\n' | b'Simplify ((z*z*z/z**(-2/3))/z*z)/(z/(z/z**(-6)*z*z)*z)*(z**(-1))**(-10) assuming z is positive.\n' | b'z**(62/3)\n' | deepmind/math_dataset |
b'Let l(v) = v**2 + 11*v - 8. Let p be l(-12). Suppose 2*o = 3*t - 36, -5*t - p*o = -6*o - 56. Solve 3*w + 5 = 5*i + 2, -2*i = -4*w + t for w.\n' | b'4\n' | b'Let l(v) = v**2 + 11*v - 8. Let p be l(-12). Suppose 2*o = 3*t - 36, -5*t - p*o = -6*o - 56. Solve 3*w + 5 = 5*i + 2, -2*i = -4*w + t for w.\n' | b'4\n' | deepmind/math_dataset |
b'Let l = 157 + -148. Let w be (-12)/(-54)*l*(-5)/(-2). Solve -10 = -2*b, 3*b + 10 = -w*d - 0*b for d.\n' | b'-5\n' | b'Let l = 157 + -148. Let w be (-12)/(-54)*l*(-5)/(-2). Solve -10 = -2*b, 3*b + 10 = -w*d - 0*b for d.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of sequence qpp when three letters picked without replacement from {p: 2, q: 8}.\n' | b'1/45\n' | b'Calculate prob of sequence qpp when three letters picked without replacement from {p: 2, q: 8}.\n' | b'1/45\n' | deepmind/math_dataset |
b'Simplify o/o**(-17)*o**(-1/11)*o assuming o is positive.\n' | b'o**(208/11)\n' | b'Simplify o/o**(-17)*o**(-1/11)*o assuming o is positive.\n' | b'o**(208/11)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 2, e: 2, k: 1, o: 4, n: 6}. Give prob of sequence ehen.\n' | b'1/1365\n' | b'Four letters picked without replacement from {h: 2, e: 2, k: 1, o: 4, n: 6}. Give prob of sequence ehen.\n' | b'1/1365\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 10, g: 2}. Give prob of picking 2 l.\n' | b'15/22\n' | b'Two letters picked without replacement from {l: 10, g: 2}. Give prob of picking 2 l.\n' | b'15/22\n' | deepmind/math_dataset |
b'Let a(x) = 13*x**3 + 3*x + 25 - x - 6*x - 8. Let c(s) = -s + 1. Let j(n) = a(n) - 4*c(n). Differentiate j(k) with respect to k.\n' | b'39*k**2\n' | b'Let a(x) = 13*x**3 + 3*x + 25 - x - 6*x - 8. Let c(s) = -s + 1. Let j(n) = a(n) - 4*c(n). Differentiate j(k) with respect to k.\n' | b'39*k**2\n' | deepmind/math_dataset |
b'Suppose -u + 6 = -5. What is the third derivative of u*j**5 - 2*j**2 - 16*j**5 - 7*j**2 wrt j?\n' | b'-300*j**2\n' | b'Suppose -u + 6 = -5. What is the third derivative of u*j**5 - 2*j**2 - 16*j**5 - 7*j**2 wrt j?\n' | b'-300*j**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {o: 1, e: 1, l: 1, g: 2, k: 2}. Give prob of picking 1 o, 1 k, 1 e, and 1 l.\n' | b'2/35\n' | b'Four letters picked without replacement from {o: 1, e: 1, l: 1, g: 2, k: 2}. Give prob of picking 1 o, 1 k, 1 e, and 1 l.\n' | b'2/35\n' | deepmind/math_dataset |
b'Calculate prob of sequence ddd when three letters picked without replacement from {d: 5}.\n' | b'1\n' | b'Calculate prob of sequence ddd when three letters picked without replacement from {d: 5}.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 d when two letters picked without replacement from dddcdc.\n' | b'2/5\n' | b'Calculate prob of picking 2 d when two letters picked without replacement from dddcdc.\n' | b'2/5\n' | deepmind/math_dataset |
b'Simplify (r**(1/2)/(r/r**4))/(r*r*r**1*r*r)**(12/13) assuming r is positive.\n' | b'r**(-29/26)\n' | b'Simplify (r**(1/2)/(r/r**4))/(r*r*r**1*r*r)**(12/13) assuming r is positive.\n' | b'r**(-29/26)\n' | deepmind/math_dataset |
b'Let q(i) = -i**2 + 27*i - 91. Let n be q(4). Solve 3*d + j = 2*j + 14, -2*d + n = j for d.\n' | b'3\n' | b'Let q(i) = -i**2 + 27*i - 91. Let n be q(4). Solve 3*d + j = 2*j + 14, -2*d + n = j for d.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of picking 1 x and 1 n when two letters picked without replacement from {k: 4, a: 1, e: 3, x: 1, h: 4, n: 1}?\n' | b'1/91\n' | b'What is prob of picking 1 x and 1 n when two letters picked without replacement from {k: 4, a: 1, e: 3, x: 1, h: 4, n: 1}?\n' | b'1/91\n' | deepmind/math_dataset |
b'Suppose 0 = g - 22 + 21, 0 = -4*z - 5*g - 27. Let x(s) = -s**3 - 9*s**2 - 12*s - 5. Give x(z).\n' | b'27\n' | b'Suppose 0 = g - 22 + 21, 0 = -4*z - 5*g - 27. Let x(s) = -s**3 - 9*s**2 - 12*s - 5. Give x(z).\n' | b'27\n' | deepmind/math_dataset |
b'What is prob of sequence aazr when four letters picked without replacement from {a: 6, z: 2, r: 7}?\n' | b'1/78\n' | b'What is prob of sequence aazr when four letters picked without replacement from {a: 6, z: 2, r: 7}?\n' | b'1/78\n' | deepmind/math_dataset |
b'Let l(s) = -s**3 - 3*s**2 - 3*s + 1. Suppose 23*z - 20*z = -6. What is l(z)?\n' | b'3\n' | b'Let l(s) = -s**3 - 3*s**2 - 3*s + 1. Suppose 23*z - 20*z = -6. What is l(z)?\n' | b'3\n' | deepmind/math_dataset |
b'Let y(q) = q**3 + 9*q**2 - 12*q + 7. Let p be y(-10). Suppose -p = -2*s + 45. Let l be (46/(-6))/((-12)/s). Solve 4*j = -j + 3*f + 5, -2*j + l = 3*f for j.\n' | b'4\n' | b'Let y(q) = q**3 + 9*q**2 - 12*q + 7. Let p be y(-10). Suppose -p = -2*s + 45. Let l be (46/(-6))/((-12)/s). Solve 4*j = -j + 3*f + 5, -2*j + l = 3*f for j.\n' | b'4\n' | deepmind/math_dataset |
b'Let b(x) be the first derivative of x**4/4 - 17*x**2/2 - 12. What is the second derivative of b(p) wrt p?\n' | b'6*p\n' | b'Let b(x) be the first derivative of x**4/4 - 17*x**2/2 - 12. What is the second derivative of b(p) wrt p?\n' | b'6*p\n' | deepmind/math_dataset |
b'Suppose -7*a = -4*a - 18. Solve -5*v - 4*m + 4 = -7*m, 0 = -3*m + a for v.\n' | b'2\n' | b'Suppose -7*a = -4*a - 18. Solve -5*v - 4*m + 4 = -7*m, 0 = -3*m + a for v.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence qp when two letters picked without replacement from qqqqqpqpqq?\n' | b'8/45\n' | b'What is prob of sequence qp when two letters picked without replacement from qqqqqpqpqq?\n' | b'8/45\n' | deepmind/math_dataset |
b'Simplify ((((i*(i*i*i**1)/i*i)/i)**(-2/5)/(i**(-1)*i)**29)**(2/45))**4 assuming i is positive.\n' | b'i**(-16/75)\n' | b'Simplify ((((i*(i*i*i**1)/i*i)/i)**(-2/5)/(i**(-1)*i)**29)**(2/45))**4 assuming i is positive.\n' | b'i**(-16/75)\n' | deepmind/math_dataset |
b'What is prob of picking 2 g and 1 x when three letters picked without replacement from ggxddxxdgdggddxdddd?\n' | b'40/969\n' | b'What is prob of picking 2 g and 1 x when three letters picked without replacement from ggxddxxdgdggddxdddd?\n' | b'40/969\n' | deepmind/math_dataset |
b'Suppose 0 = -d - 1 + 3. Solve 5*v + 2 = 5*b - 3, 5*v - 7 = d*b for b.\n' | b'4\n' | b'Suppose 0 = -d - 1 + 3. Solve 5*v + 2 = 5*b - 3, 5*v - 7 = d*b for b.\n' | b'4\n' | deepmind/math_dataset |
b'Let a(o) = 2*o + 5. Let u(z) = 9*z**3 + 3 - 32*z + 34*z - 4. Let h be u(1). Let b = h + -16. Calculate a(b).\n' | b'-7\n' | b'Let a(o) = 2*o + 5. Let u(z) = 9*z**3 + 3 - 32*z + 34*z - 4. Let h be u(1). Let b = h + -16. Calculate a(b).\n' | b'-7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from tjwxwwwj. Give prob of picking 4 w.\n' | b'1/70\n' | b'Four letters picked without replacement from tjwxwwwj. Give prob of picking 4 w.\n' | b'1/70\n' | deepmind/math_dataset |
b'Let b be 4/(-14) + 148/28. Suppose -4*r + 20 = -5*m, 2*m + b = r - 3*m. Solve -r*u + c - 11 = -1, 0 = -3*u + 3*c - 6 for u.\n' | b'-2\n' | b'Let b be 4/(-14) + 148/28. Suppose -4*r + 20 = -5*m, 2*m + b = r - 3*m. Solve -r*u + c - 11 = -1, 0 = -3*u + 3*c - 6 for u.\n' | b'-2\n' | deepmind/math_dataset |
b'Let h(n) = 3*n**2 + 2*n + 1. Let x be h(-1). Suppose -5*o + 23 = -2*p + x, 4*o = 20. Let u be (-13)/(-4) + (-3)/12. Solve -p*s = -i + u*i + 14, -3*i = 6 for s.\n' | b'-5\n' | b'Let h(n) = 3*n**2 + 2*n + 1. Let x be h(-1). Suppose -5*o + 23 = -2*p + x, 4*o = 20. Let u be (-13)/(-4) + (-3)/12. Solve -p*s = -i + u*i + 14, -3*i = 6 for s.\n' | b'-5\n' | deepmind/math_dataset |
b'Find the third derivative of 5*g**4 - 12*g**4 + g**2 + 7*g**2 + 3*g**2 wrt g.\n' | b'-168*g\n' | b'Find the third derivative of 5*g**4 - 12*g**4 + g**2 + 7*g**2 + 3*g**2 wrt g.\n' | b'-168*g\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 i and 1 w when two letters picked without replacement from wiwiwwi.\n' | b'4/7\n' | b'Calculate prob of picking 1 i and 1 w when two letters picked without replacement from wiwiwwi.\n' | b'4/7\n' | deepmind/math_dataset |
b'Suppose 2*c - 5*c - 3 = -4*f, c + 1 = -3*f. Let w be 2/1 - 2*c. What is the first derivative of -w + 10*k**2 + 4*k**3 - 10*k**2 wrt k?\n' | b'12*k**2\n' | b'Suppose 2*c - 5*c - 3 = -4*f, c + 1 = -3*f. Let w be 2/1 - 2*c. What is the first derivative of -w + 10*k**2 + 4*k**3 - 10*k**2 wrt k?\n' | b'12*k**2\n' | deepmind/math_dataset |
b'Simplify (l**(7/4)/l**(-4))**(-4/31)/(l**(1/8)/l**(-1/9)*(l/(((l**5/l)/l)/l))/(l*l**(2/3))) assuming l is positive.\n' | b'l**(3769/2232)\n' | b'Simplify (l**(7/4)/l**(-4))**(-4/31)/(l**(1/8)/l**(-1/9)*(l/(((l**5/l)/l)/l))/(l*l**(2/3))) assuming l is positive.\n' | b'l**(3769/2232)\n' | deepmind/math_dataset |
b'Suppose -5*h + 3*h + 5*q = -57, -3*q - 79 = -4*h. Suppose -19*g + 20*g - h = -3*r, 3*g = 2*r - 7. Let a(t) = t**2 - 5*t + 4. Determine a(r).\n' | b'4\n' | b'Suppose -5*h + 3*h + 5*q = -57, -3*q - 79 = -4*h. Suppose -19*g + 20*g - h = -3*r, 3*g = 2*r - 7. Let a(t) = t**2 - 5*t + 4. Determine a(r).\n' | b'4\n' | deepmind/math_dataset |
b'Let s(g) = -g**3 - 7*g**2 - 4*g + 4. Suppose 4*p + 4 = 6*p, u - 8 = -3*p. Suppose -3*r - 30 = u*r. What is s(r)?\n' | b'-8\n' | b'Let s(g) = -g**3 - 7*g**2 - 4*g + 4. Suppose 4*p + 4 = 6*p, u - 8 = -3*p. Suppose -3*r - 30 = u*r. What is s(r)?\n' | b'-8\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 3, t: 2, s: 10, j: 1}. What is prob of picking 1 j and 1 g?\n' | b'1/40\n' | b'Two letters picked without replacement from {g: 3, t: 2, s: 10, j: 1}. What is prob of picking 1 j and 1 g?\n' | b'1/40\n' | deepmind/math_dataset |
b'Suppose -u + 2*l + l = -18, -4*l = 2*u - 6. Let i be u + -9 - -2*1. What is the third derivative of -i*a**4 + 3*a**4 - 3*a**4 - a**2 wrt a?\n' | b'-48*a\n' | b'Suppose -u + 2*l + l = -18, -4*l = 2*u - 6. Let i be u + -9 - -2*1. What is the third derivative of -i*a**4 + 3*a**4 - 3*a**4 - a**2 wrt a?\n' | b'-48*a\n' | deepmind/math_dataset |
b'Suppose -5*o + 5*k + 205 = 0, o + 2*k = 44 + 9. Let a = o - 45. Suppose -2*d + 5 - 1 = a. Solve d*w - 30 = -5*f - w, -5*w + 28 = f for f.\n' | b'3\n' | b'Suppose -5*o + 5*k + 205 = 0, o + 2*k = 44 + 9. Let a = o - 45. Suppose -2*d + 5 - 1 = a. Solve d*w - 30 = -5*f - w, -5*w + 28 = f for f.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 146*w - 294 = 97*w. Solve 4 + 0 = -k, 0 = 2*l + k + w for l.\n' | b'-1\n' | b'Suppose 146*w - 294 = 97*w. Solve 4 + 0 = -k, 0 = 2*l + k + w for l.\n' | b'-1\n' | deepmind/math_dataset |
b'Let x(o) = 3*o**2 + 5*o + 8. Suppose -4*s + 23 = -3*u + 31, 4*u - 3*s = 13. Give x(u).\n' | b'76\n' | b'Let x(o) = 3*o**2 + 5*o + 8. Suppose -4*s + 23 = -3*u + 31, 4*u - 3*s = 13. Give x(u).\n' | b'76\n' | deepmind/math_dataset |
b'Calculate prob of sequence skkk when four letters picked without replacement from kssskkskksskskskssk.\n' | b'35/646\n' | b'Calculate prob of sequence skkk when four letters picked without replacement from kssskkskksskskskssk.\n' | b'35/646\n' | deepmind/math_dataset |
b'Simplify (s**(1/7)*s)**(-4/15) assuming s is positive.\n' | b's**(-32/105)\n' | b'Simplify (s**(1/7)*s)**(-4/15) assuming s is positive.\n' | b's**(-32/105)\n' | deepmind/math_dataset |
b'Let v = 10 - 9. Suppose -v = -11*l + 12*l. Let a be 2/(l - 10/(-6)). Solve u = 2*x + a*x - 16, -4*x = u - 11 for u.\n' | b'-1\n' | b'Let v = 10 - 9. Suppose -v = -11*l + 12*l. Let a be 2/(l - 10/(-6)). Solve u = 2*x + a*x - 16, -4*x = u - 11 for u.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of picking 1 b and 2 s when three letters picked without replacement from {a: 5, x: 2, s: 2, b: 1, w: 1, l: 5}?\n' | b'1/560\n' | b'What is prob of picking 1 b and 2 s when three letters picked without replacement from {a: 5, x: 2, s: 2, b: 1, w: 1, l: 5}?\n' | b'1/560\n' | deepmind/math_dataset |
b'What is prob of sequence stx when three letters picked without replacement from {e: 1, f: 1, x: 1, t: 2, s: 3, j: 4}?\n' | b'1/220\n' | b'What is prob of sequence stx when three letters picked without replacement from {e: 1, f: 1, x: 1, t: 2, s: 3, j: 4}?\n' | b'1/220\n' | deepmind/math_dataset |
b'Suppose 0*l - 4*l + 8 = 0. Let q be 0/(-3) - -3 - -1. Solve 4*z + 6 = -l*a + 5*a, -2 = -5*a + q*z for a.\n' | b'-2\n' | b'Suppose 0*l - 4*l + 8 = 0. Let q be 0/(-3) - -3 - -1. Solve 4*z + 6 = -l*a + 5*a, -2 = -5*a + q*z for a.\n' | b'-2\n' | deepmind/math_dataset |
b'What is the second derivative of 2*p + 81*p**5 - 184*p**5 + 88*p**5 wrt p?\n' | b'-300*p**3\n' | b'What is the second derivative of 2*p + 81*p**5 - 184*p**5 + 88*p**5 wrt p?\n' | b'-300*p**3\n' | deepmind/math_dataset |
b'Let y(c) = -c**3 - c**2. Let d(w) = 2*w**3 + 8*w**2 - 3*w + 1. Let v be 1 + 1/(2/6). Let z be 2/v + 1/2. Let n(q) = z*d(q) + 3*y(q). Give n(4).\n' | b'5\n' | b'Let y(c) = -c**3 - c**2. Let d(w) = 2*w**3 + 8*w**2 - 3*w + 1. Let v be 1 + 1/(2/6). Let z be 2/v + 1/2. Let n(q) = z*d(q) + 3*y(q). Give n(4).\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 0*g = -9*g + 540. Suppose g = 2*t + 6. Solve 3*v + t = -4*b, 0 = -6*v + 3*v + 5*b for v.\n' | b'-5\n' | b'Suppose 0*g = -9*g + 540. Suppose g = 2*t + 6. Solve 3*v + t = -4*b, 0 = -6*v + 3*v + 5*b for v.\n' | b'-5\n' | deepmind/math_dataset |
b'Let t = -14 + 20. Differentiate 2*n**4 + 7 - t - 4*n**4 with respect to n.\n' | b'-8*n**3\n' | b'Let t = -14 + 20. Differentiate 2*n**4 + 7 - t - 4*n**4 with respect to n.\n' | b'-8*n**3\n' | deepmind/math_dataset |
b'Simplify (u**(-12))**39/(u*u/((u/(u*u**(-2/5)*u))/u))**13 assuming u is positive.\n' | b'u**(-2574/5)\n' | b'Simplify (u**(-12))**39/(u*u/((u/(u*u**(-2/5)*u))/u))**13 assuming u is positive.\n' | b'u**(-2574/5)\n' | deepmind/math_dataset |
b'Simplify ((u/((u/(u*u/(u**3*u)*u*u))/u))**12)**(1/41)/(u**(-1/2)*u**(-9))**(-36) assuming u is positive.\n' | b'u**(-14010/41)\n' | b'Simplify ((u/((u/(u*u/(u**3*u)*u*u))/u))**12)**(1/41)/(u**(-1/2)*u**(-9))**(-36) assuming u is positive.\n' | b'u**(-14010/41)\n' | deepmind/math_dataset |
b'Simplify (o**(-40)/(o**(-2/33)*o)*(o**(-2/3))**25)**(2/7) assuming o is positive.\n' | b'o**(-3802/231)\n' | b'Simplify (o**(-40)/(o**(-2/33)*o)*(o**(-2/3))**25)**(2/7) assuming o is positive.\n' | b'o**(-3802/231)\n' | deepmind/math_dataset |
b'What is prob of picking 2 u when two letters picked without replacement from {p: 4, u: 10}?\n' | b'45/91\n' | b'What is prob of picking 2 u when two letters picked without replacement from {p: 4, u: 10}?\n' | b'45/91\n' | deepmind/math_dataset |
b'Let d be ((-264)/(-55))/((-188)/40 + 5). Solve 18*c = 22*c + 20, -d = -4*x + 4*c for x.\n' | b'-1\n' | b'Let d be ((-264)/(-55))/((-188)/40 + 5). Solve 18*c = 22*c + 20, -d = -4*x + 4*c for x.\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from dqdqqkkqkkqqqqddkqqk. Give prob of sequence kdq.\n' | b'2/57\n' | b'Three letters picked without replacement from dqdqqkkqkkqqqqddkqqk. Give prob of sequence kdq.\n' | b'2/57\n' | deepmind/math_dataset |
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