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'Simplify (((v**(-1/2)/v*v)/v)**(-8))**5*((v*v*v**0/v)/v*v)**(1/4)*(v/v**(-2/5))**1 assuming v is positive.\n' | b'v**(1233/20)\n' | b'Simplify (((v**(-1/2)/v*v)/v)**(-8))**5*((v*v*v**0/v)/v*v)**(1/4)*(v/v**(-2/5))**1 assuming v is positive.\n' | b'v**(1233/20)\n' | deepmind/math_dataset |
b'Suppose -8 = -0*k - 4*k. Suppose -2*u = k*l - 24, -u + 5*l = -0*u - 42. Solve 5*p - n = u, 26 = 5*p - 2*n + 4*n for p.\n' | b'4\n' | b'Suppose -8 = -0*k - 4*k. Suppose -2*u = k*l - 24, -u + 5*l = -0*u - 42. Solve 5*p - n = u, 26 = 5*p - 2*n + 4*n for p.\n' | b'4\n' | deepmind/math_dataset |
b'Let x(a) = -19 - 10 + 0*a**2 + 0*a**2 - 41*a - a**2 + 52*a. Determine x(5).\n' | b'1\n' | b'Let x(a) = -19 - 10 + 0*a**2 + 0*a**2 - 41*a - a**2 + 52*a. Determine x(5).\n' | b'1\n' | deepmind/math_dataset |
b'Let s = -119 - -129. Let c(v) = 7*v + 7*v**2 + s*v**3 - 6*v**3 - 3*v**3 + 5 - 2. Determine c(-6).\n' | b'-3\n' | b'Let s = -119 - -129. Let c(v) = 7*v + 7*v**2 + s*v**3 - 6*v**3 - 3*v**3 + 5 - 2. Determine c(-6).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (i*i**1)**27*((i*i**(3/5)*i)/i)/i*i*i*i*(i**1*i*i)/i*((i**(1/4)*i)**(-4/11))**(-31) assuming i is positive.\n' | b'i**(4053/55)\n' | b'Simplify (i*i**1)**27*((i*i**(3/5)*i)/i)/i*i*i*i*(i**1*i*i)/i*((i**(1/4)*i)**(-4/11))**(-31) assuming i is positive.\n' | b'i**(4053/55)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wwjwljjllwl. Give prob of picking 2 l.\n' | b'6/55\n' | b'Two letters picked without replacement from wwjwljjllwl. Give prob of picking 2 l.\n' | b'6/55\n' | deepmind/math_dataset |
b'Let z = -6 + 5. Let i = -3 - z. Let p(f) = -3*f**2 - 2*f + 1. What is p(i)?\n' | b'-7\n' | b'Let z = -6 + 5. Let i = -3 - z. Let p(f) = -3*f**2 - 2*f + 1. What is p(i)?\n' | b'-7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ppouppouopuuu. What is prob of picking 2 o?\n' | b'1/26\n' | b'Two letters picked without replacement from ppouppouopuuu. What is prob of picking 2 o?\n' | b'1/26\n' | deepmind/math_dataset |
b'Calculate prob of sequence juh when three letters picked without replacement from {o: 1, j: 1, l: 2, u: 1, h: 4}.\n' | b'1/126\n' | b'Calculate prob of sequence juh when three letters picked without replacement from {o: 1, j: 1, l: 2, u: 1, h: 4}.\n' | b'1/126\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yzzzzyz. What is prob of sequence zz?\n' | b'10/21\n' | b'Two letters picked without replacement from yzzzzyz. What is prob of sequence zz?\n' | b'10/21\n' | deepmind/math_dataset |
b'Let g(q) be the third derivative of q**8/20160 - q**7/1008 + q**6/360 + q**5/20 - 34*q**2. Let h(j) be the third derivative of g(j). Give h(4).\n' | b'-2\n' | b'Let g(q) be the third derivative of q**8/20160 - q**7/1008 + q**6/360 + q**5/20 - 34*q**2. Let h(j) be the third derivative of g(j). Give h(4).\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -309 + 117 = -16*f. Let z(w) = f*w - w - 10*w - 12. What is z(12)?\n' | b'0\n' | b'Suppose -309 + 117 = -16*f. Let z(w) = f*w - w - 10*w - 12. What is z(12)?\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (z**(1/4)*z/z**(-1)*z*((z**(-4/7)*z)/z*z)/z**(2/11))/(((z*z*z*(z**(-3)/z)/z)/z*z/(z/(((z**1/z)/z*z)/z)))/(z**(-1/2))**6) assuming z is positive.\n' | b'z**(1385/308)\n' | b'Simplify (z**(1/4)*z/z**(-1)*z*((z**(-4/7)*z)/z*z)/z**(2/11))/(((z*z*z*(z**(-3)/z)/z)/z*z/(z/(((z**1/z)/z*z)/z)))/(z**(-1/2))**6) assuming z is positive.\n' | b'z**(1385/308)\n' | deepmind/math_dataset |
b'Let z be (8/(-5))/(2/(-15)). Let w be (-6)/(-15) - 9/(-15). Suppose -2*r - r - w = 2*x, 4*r + z = 0. Solve -n - 12 = x*i, -6*i + 2*i = -5*n + 12 for i.\n' | b'-3\n' | b'Let z be (8/(-5))/(2/(-15)). Let w be (-6)/(-15) - 9/(-15). Suppose -2*r - r - w = 2*x, 4*r + z = 0. Solve -n - 12 = x*i, -6*i + 2*i = -5*n + 12 for i.\n' | b'-3\n' | deepmind/math_dataset |
b'Let o(z) = -z + 8. Let m be o(6). Suppose u + 7 = m*n, 3*u - 5 = -3*n + 1. What is the first derivative of -1 + 0*t**n + 1 + t**3 - 4 wrt t?\n' | b'3*t**2\n' | b'Let o(z) = -z + 8. Let m be o(6). Suppose u + 7 = m*n, 3*u - 5 = -3*n + 1. What is the first derivative of -1 + 0*t**n + 1 + t**3 - 4 wrt t?\n' | b'3*t**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 7, p: 4}. Give prob of picking 1 t and 1 p.\n' | b'28/55\n' | b'Two letters picked without replacement from {t: 7, p: 4}. Give prob of picking 1 t and 1 p.\n' | b'28/55\n' | deepmind/math_dataset |
b'Calculate prob of sequence wxwm when four letters picked without replacement from {x: 3, w: 12, m: 1}.\n' | b'33/3640\n' | b'Calculate prob of sequence wxwm when four letters picked without replacement from {x: 3, w: 12, m: 1}.\n' | b'33/3640\n' | deepmind/math_dataset |
b'Let o(m) = 26*m - 75. Let q(v) = -61*v - 151 + 53*v + 58*v. Let g(u) = 5*o(u) - 2*q(u). What is the first derivative of g(y) wrt y?\n' | b'30\n' | b'Let o(m) = 26*m - 75. Let q(v) = -61*v - 151 + 53*v + 58*v. Let g(u) = 5*o(u) - 2*q(u). What is the first derivative of g(y) wrt y?\n' | b'30\n' | deepmind/math_dataset |
b'Let t(j) = j**2 + j - 9. Let s be t(3). Suppose 1 = h - s. Let a(u) = -40*u - 247. Let n be a(-7). Solve -5*v - n = -4*g, -6*v = -h*v - g + 12 for v.\n' | b'-5\n' | b'Let t(j) = j**2 + j - 9. Let s be t(3). Suppose 1 = h - s. Let a(u) = -40*u - 247. Let n be a(-7). Solve -5*v - n = -4*g, -6*v = -h*v - g + 12 for v.\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 14, w: 4}. What is prob of picking 1 w and 1 h?\n' | b'56/153\n' | b'Two letters picked without replacement from {h: 14, w: 4}. What is prob of picking 1 w and 1 h?\n' | b'56/153\n' | deepmind/math_dataset |
b'Four letters picked without replacement from tabaaasaaatbaa. Give prob of sequence aats.\n' | b'6/1001\n' | b'Four letters picked without replacement from tabaaasaaatbaa. Give prob of sequence aats.\n' | b'6/1001\n' | deepmind/math_dataset |
b'Let t(k) = -k**2 + 5*k + 5. Let m(p) = p**3 - 3*p**2 - 3*p - 2. Let u be m(4). Suppose -4*v + u*s = s - 19, 0 = -v + 2*s + 3. Give t(v).\n' | b'5\n' | b'Let t(k) = -k**2 + 5*k + 5. Let m(p) = p**3 - 3*p**2 - 3*p - 2. Let u be m(4). Suppose -4*v + u*s = s - 19, 0 = -v + 2*s + 3. Give t(v).\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from unxxjnpsuun. What is prob of sequence snuu?\n' | b'1/440\n' | b'Four letters picked without replacement from unxxjnpsuun. What is prob of sequence snuu?\n' | b'1/440\n' | deepmind/math_dataset |
b'Suppose 0 = 2*t - 6 - 0. Let z = -4 - -11. Suppose -t*y + 21 = 5*l, 3*y - z*y = -3*l + 1. Solve m + 14 = 2*u + 3*u, -u + 1 = -y*m for u.\n' | b'3\n' | b'Suppose 0 = 2*t - 6 - 0. Let z = -4 - -11. Suppose -t*y + 21 = 5*l, 3*y - z*y = -3*l + 1. Solve m + 14 = 2*u + 3*u, -u + 1 = -y*m for u.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of picking 1 a, 1 i, and 2 u when four letters picked without replacement from {i: 1, a: 2, u: 2}?\n' | b'2/5\n' | b'What is prob of picking 1 a, 1 i, and 2 u when four letters picked without replacement from {i: 1, a: 2, u: 2}?\n' | b'2/5\n' | deepmind/math_dataset |
b'Calculate prob of sequence gu when two letters picked without replacement from rguuecmr.\n' | b'1/28\n' | b'Calculate prob of sequence gu when two letters picked without replacement from rguuecmr.\n' | b'1/28\n' | deepmind/math_dataset |
b'Simplify ((((l*(l**(-2/37)/l)/l)/l)/l)/l)**(-1/22)*l*l/(l/(l*l**(-27)))*l/((l*l**(-12)*l)/l) assuming l is positive.\n' | b'l**(-5216/407)\n' | b'Simplify ((((l*(l**(-2/37)/l)/l)/l)/l)/l)**(-1/22)*l*l/(l/(l*l**(-27)))*l/((l*l**(-12)*l)/l) assuming l is positive.\n' | b'l**(-5216/407)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wgpupoul. Give prob of picking 2 u.\n' | b'1/28\n' | b'Two letters picked without replacement from wgpupoul. Give prob of picking 2 u.\n' | b'1/28\n' | deepmind/math_dataset |
b'Let k(s) = s - 12. Let y be -3 + 4 + (-2 - 1). Let q be k(y). Let x be 6*((-22)/(-28) + 4/q). Solve 5 = -z - 2*i, -i - 4 = -z + x*z for z.\n' | b'-1\n' | b'Let k(s) = s - 12. Let y be -3 + 4 + (-2 - 1). Let q be k(y). Let x be 6*((-22)/(-28) + 4/q). Solve 5 = -z - 2*i, -i - 4 = -z + x*z for z.\n' | b'-1\n' | deepmind/math_dataset |
b'Let i(t) = t**3 + t**2 + t - 1. Let r(k) = 38*k**3 - 4*k**2 - 6*k + 7. Let c(z) = -6*i(z) - r(z). Find the third derivative of c(n) wrt n.\n' | b'-264\n' | b'Let i(t) = t**3 + t**2 + t - 1. Let r(k) = 38*k**3 - 4*k**2 - 6*k + 7. Let c(z) = -6*i(z) - r(z). Find the third derivative of c(n) wrt n.\n' | b'-264\n' | deepmind/math_dataset |
b'Simplify (l*l*l**7*l**(1/6))/(l**(-15)*l*l/(l/(l*l/(l**(1/8)*l)*l*l))) assuming l is positive.\n' | b'l**(487/24)\n' | b'Simplify (l*l*l**7*l**(1/6))/(l**(-15)*l*l/(l/(l*l/(l**(1/8)*l)*l*l))) assuming l is positive.\n' | b'l**(487/24)\n' | deepmind/math_dataset |
b'Let j = 8 - 14. Let u be 0 + -4*3/j. What is the third derivative of -r**2 + u*r**2 - r**3 + 2*r**3 wrt r?\n' | b'6\n' | b'Let j = 8 - 14. Let u be 0 + -4*3/j. What is the third derivative of -r**2 + u*r**2 - r**3 + 2*r**3 wrt r?\n' | b'6\n' | deepmind/math_dataset |
b'Let j(g) = g**3 - g**2 - 3*g - 14. Let b be j(0). Let a(h) = h + 17. Let k be a(b). Let p = -11 + 16. Solve 0 = -2*i - 4*v + 4, -k*i = -p*i + 5*v + 13 for i.\n' | b'4\n' | b'Let j(g) = g**3 - g**2 - 3*g - 14. Let b be j(0). Let a(h) = h + 17. Let k be a(b). Let p = -11 + 16. Solve 0 = -2*i - 4*v + 4, -k*i = -p*i + 5*v + 13 for i.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -8*i + 18*i + 35*i = 0. Solve i = -a + p + 2, 5*p = -4*a + p + 16 for a.\n' | b'3\n' | b'Suppose -8*i + 18*i + 35*i = 0. Solve i = -a + p + 2, 5*p = -4*a + p + 16 for a.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (c*c*c**(10/9)*c**(-3))/((c*c**3)/c)**(-7) assuming c is positive.\n' | b'c**(190/9)\n' | b'Simplify (c*c*c**(10/9)*c**(-3))/((c*c**3)/c)**(-7) assuming c is positive.\n' | b'c**(190/9)\n' | deepmind/math_dataset |
b'Suppose 4*z - 112 = -0*z. Let t = -15 + z. Suppose 202 = 10*w + 32. Solve -2*y - p - 15 = 0, -3*p - w = 3*y + t for y.\n' | b'-5\n' | b'Suppose 4*z - 112 = -0*z. Let t = -15 + z. Suppose 202 = 10*w + 32. Solve -2*y - p - 15 = 0, -3*p - w = 3*y + t for y.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (((u**(1/5)*u/(u**(5/8)*u))**16)**36)**(-1/47) assuming u is positive.\n' | b'u**(1224/235)\n' | b'Simplify (((u**(1/5)*u/(u**(5/8)*u))**16)**36)**(-1/47) assuming u is positive.\n' | b'u**(1224/235)\n' | deepmind/math_dataset |
b'Simplify ((i*i/(i*i**(-8/7))*i)/i**(2/15))/(i**0/i)**(-1/7) assuming i is positive.\n' | b'i**(43/15)\n' | b'Simplify ((i*i/(i*i**(-8/7))*i)/i**(2/15))/(i**0/i)**(-1/7) assuming i is positive.\n' | b'i**(43/15)\n' | deepmind/math_dataset |
b'Let f(t) = -618*t + 3095. Let i be f(5). Solve -3*m - 4 = 4*q - i, -9 = -m + 3*q for m.\n' | b'3\n' | b'Let f(t) = -618*t + 3095. Let i be f(5). Solve -3*m - 4 = 4*q - i, -9 = -m + 3*q for m.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify w/w**25*w*w**(2/47)/w*w assuming w is positive.\n' | b'w**(-1079/47)\n' | b'Simplify w/w**25*w*w**(2/47)/w*w assuming w is positive.\n' | b'w**(-1079/47)\n' | deepmind/math_dataset |
b'Let m(p) = -275*p**3 - 4*p**2 - 28*p - 813. Let q(h) = 826*h**3 + 11*h**2 + 77*h + 2438. Let t(s) = -22*m(s) - 8*q(s). Differentiate t(u) with respect to u.\n' | b'-1674*u**2\n' | b'Let m(p) = -275*p**3 - 4*p**2 - 28*p - 813. Let q(h) = 826*h**3 + 11*h**2 + 77*h + 2438. Let t(s) = -22*m(s) - 8*q(s). Differentiate t(u) with respect to u.\n' | b'-1674*u**2\n' | deepmind/math_dataset |
b'Find the third derivative of 12*h**4 + 17327*h**6 + 114*h - 17362*h**6 + 0*h**2 + 128*h - 4*h**2 wrt h.\n' | b'-4200*h**3 + 288*h\n' | b'Find the third derivative of 12*h**4 + 17327*h**6 + 114*h - 17362*h**6 + 0*h**2 + 128*h - 4*h**2 wrt h.\n' | b'-4200*h**3 + 288*h\n' | deepmind/math_dataset |
b'Let o(q) be the first derivative of q**3/3 + 8*q**2 + 2*q - 721. Give o(-5).\n' | b'-53\n' | b'Let o(q) be the first derivative of q**3/3 + 8*q**2 + 2*q - 721. Give o(-5).\n' | b'-53\n' | deepmind/math_dataset |
b'Simplify (r**(-3/7)*r*r**4)/(r**(-1)/(r*r/((r**(-5/7)*r)/r))) assuming r is positive.\n' | b'r**(58/7)\n' | b'Simplify (r**(-3/7)*r*r**4)/(r**(-1)/(r*r/((r**(-5/7)*r)/r))) assuming r is positive.\n' | b'r**(58/7)\n' | deepmind/math_dataset |
b'Let s be -1 + (-29 + 3)/((-2)/(-5)). Let k = s + 69. Solve -3*p + k*l = 12, 0 = p - 3*l + 1 + 1 for p.\n' | b'-5\n' | b'Let s be -1 + (-29 + 3)/((-2)/(-5)). Let k = s + 69. Solve -3*p + k*l = 12, 0 = p - 3*l + 1 + 1 for p.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (i**15/(i**0/i*i))/(i**3/i)**(-1/19) assuming i is positive.\n' | b'i**(287/19)\n' | b'Simplify (i**15/(i**0/i*i))/(i**3/i)**(-1/19) assuming i is positive.\n' | b'i**(287/19)\n' | deepmind/math_dataset |
b'Let s(d) = 46384 - 2*d + d - 23195 - 23155. What is s(15)?\n' | b'19\n' | b'Let s(d) = 46384 - 2*d + d - 23195 - 23155. What is s(15)?\n' | b'19\n' | deepmind/math_dataset |
b'Let s = -31 + 33. What is the third derivative of 6*k**2 - 8*k**6 - 4*k**2 + 14*k**s wrt k?\n' | b'-960*k**3\n' | b'Let s = -31 + 33. What is the third derivative of 6*k**2 - 8*k**6 - 4*k**2 + 14*k**s wrt k?\n' | b'-960*k**3\n' | deepmind/math_dataset |
b'What is the second derivative of 10 - 36 - 12*a**2 + 11 + 11 - 4*a wrt a?\n' | b'-24\n' | b'What is the second derivative of 10 - 36 - 12*a**2 + 11 + 11 - 4*a wrt a?\n' | b'-24\n' | deepmind/math_dataset |
b'Let i = 8 + -5. Let z(j) = j**3 + 4*j - 3*j + 0*j + 1 + 2*j + i*j**2. Determine z(-3).\n' | b'-8\n' | b'Let i = 8 + -5. Let z(j) = j**3 + 4*j - 3*j + 0*j + 1 + 2*j + i*j**2. Determine z(-3).\n' | b'-8\n' | deepmind/math_dataset |
b'Suppose -4*s = 17 - 5. Let a be ((-22)/(-4) + s)*2. Find the third derivative of -w**4 - w**4 - 7*w**4 + a*w**4 - 4*w**2 wrt w.\n' | b'-96*w\n' | b'Suppose -4*s = 17 - 5. Let a be ((-22)/(-4) + s)*2. Find the third derivative of -w**4 - w**4 - 7*w**4 + a*w**4 - 4*w**2 wrt w.\n' | b'-96*w\n' | deepmind/math_dataset |
b'Simplify ((k*(k*k/k**(-9)*k)/k)/((k**(-4)/k)/k))**(1/15) assuming k is positive.\n' | b'k**(6/5)\n' | b'Simplify ((k*(k*k/k**(-9)*k)/k)/((k**(-4)/k)/k))**(1/15) assuming k is positive.\n' | b'k**(6/5)\n' | deepmind/math_dataset |
b'Let t(w) be the third derivative of 1/24*w**4 + 2 - 24*w**2 - 1/3*w**3 + 0*w. Determine t(5).\n' | b'3\n' | b'Let t(w) be the third derivative of 1/24*w**4 + 2 - 24*w**2 - 1/3*w**3 + 0*w. Determine t(5).\n' | b'3\n' | deepmind/math_dataset |
b'Let y(m) be the third derivative of -m**5/12 + m**3/2 - m**2. Let o(j) = -66*j**2 + 39. Let p(i) = 4*o(i) - 54*y(i). What is the derivative of p(h) wrt h?\n' | b'12*h\n' | b'Let y(m) be the third derivative of -m**5/12 + m**3/2 - m**2. Let o(j) = -66*j**2 + 39. Let p(i) = 4*o(i) - 54*y(i). What is the derivative of p(h) wrt h?\n' | b'12*h\n' | deepmind/math_dataset |
b'Let z(d) = -3*d**2 - 18*d + 50. Let s be z(0). Suppose -s*u - 35*u = -850. Let w be 0*(0 - 0 - -1). Solve 5*p = -w*n - n - 1, 2*n - u = 2*p for n.\n' | b'4\n' | b'Let z(d) = -3*d**2 - 18*d + 50. Let s be z(0). Suppose -s*u - 35*u = -850. Let w be 0*(0 - 0 - -1). Solve 5*p = -w*n - n - 1, 2*n - u = 2*p for n.\n' | b'4\n' | deepmind/math_dataset |
b'Let f(t) = -6*t - 4. Let w(a) = a - 1. Let c(j) = -f(j) - 4*w(j). Determine c(-6).\n' | b'-4\n' | b'Let f(t) = -6*t - 4. Let w(a) = a - 1. Let c(j) = -f(j) - 4*w(j). Determine c(-6).\n' | b'-4\n' | deepmind/math_dataset |
b'Let u = 61 - 56. Suppose -3*i = -4*i + 32. Let x(a) = -a**3 + 4*a**2 - a - 3. Let s be x(3). Solve 4*g = s*o - i, o + g + 21 = u*o for o.\n' | b'4\n' | b'Let u = 61 - 56. Suppose -3*i = -4*i + 32. Let x(a) = -a**3 + 4*a**2 - a - 3. Let s be x(3). Solve 4*g = s*o - i, o + g + 21 = u*o for o.\n' | b'4\n' | deepmind/math_dataset |
b'Let o(f) be the third derivative of 3781*f**7/210 + f**6/120 - f**5/30 - 23*f**3/6 + 2121*f**2. What is the third derivative of o(l) wrt l?\n' | b'90744*l + 6\n' | b'Let o(f) be the third derivative of 3781*f**7/210 + f**6/120 - f**5/30 - 23*f**3/6 + 2121*f**2. What is the third derivative of o(l) wrt l?\n' | b'90744*l + 6\n' | deepmind/math_dataset |
b'Simplify (x**(-5)*x*x**3*x)**(-3/2)/((x/(x/((x/(x*x**1))/x*x)))**(-1/34))**(-3/38) assuming x is positive.\n' | b'x**(3/1292)\n' | b'Simplify (x**(-5)*x*x**3*x)**(-3/2)/((x/(x/((x/(x*x**1))/x*x)))**(-1/34))**(-3/38) assuming x is positive.\n' | b'x**(3/1292)\n' | deepmind/math_dataset |
b'Simplify (j*j/j**1*j*j/((j**(-9)*j)/j)*j)**(-7/4) assuming j is positive.\n' | b'j**(-91/4)\n' | b'Simplify (j*j/j**1*j*j/((j**(-9)*j)/j)*j)**(-7/4) assuming j is positive.\n' | b'j**(-91/4)\n' | deepmind/math_dataset |
b'Let w = 46 + -42. Let c be (w - 4/1)/1. Let s be (6/5)/(1/5). Solve -5*f = 4*l + 22, c = 3*f + s for l.\n' | b'-3\n' | b'Let w = 46 + -42. Let c be (w - 4/1)/1. Let s be (6/5)/(1/5). Solve -5*f = 4*l + 22, c = 3*f + s for l.\n' | b'-3\n' | deepmind/math_dataset |
b'Let i be 2/(2/13)*-1. Let m = i - -8. Let g(s) be the third derivative of s**6/120 + s**5/10 + s**4/6 - s**3/6 + 114*s**2. Give g(m).\n' | b'4\n' | b'Let i be 2/(2/13)*-1. Let m = i - -8. Let g(s) be the third derivative of s**6/120 + s**5/10 + s**4/6 - s**3/6 + 114*s**2. Give g(m).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (d**(5/2)/d*((d**8*d)/d)/d*d)**(-15) assuming d is positive.\n' | b'd**(-285/2)\n' | b'Simplify (d**(5/2)/d*((d**8*d)/d)/d*d)**(-15) assuming d is positive.\n' | b'd**(-285/2)\n' | deepmind/math_dataset |
b'Differentiate 53*x**4 + 41*x**4 - 131*x**4 + 13468 - 345*x**2 - 2*x**3 + 41*x**4 with respect to x.\n' | b'16*x**3 - 6*x**2 - 690*x\n' | b'Differentiate 53*x**4 + 41*x**4 - 131*x**4 + 13468 - 345*x**2 - 2*x**3 + 41*x**4 with respect to x.\n' | b'16*x**3 - 6*x**2 - 690*x\n' | deepmind/math_dataset |
b'Let z(b) = -b**3 - 6*b**2 + 2*b + 3. Let w be z(-7). Differentiate 17 + w - 3*q**2 - 3*q**2 + 4*q with respect to q.\n' | b'-12*q + 4\n' | b'Let z(b) = -b**3 - 6*b**2 + 2*b + 3. Let w be z(-7). Differentiate 17 + w - 3*q**2 - 3*q**2 + 4*q with respect to q.\n' | b'-12*q + 4\n' | deepmind/math_dataset |
b'Calculate prob of sequence ec when two letters picked without replacement from {c: 4, s: 1, d: 1, e: 1, z: 5}.\n' | b'1/33\n' | b'Calculate prob of sequence ec when two letters picked without replacement from {c: 4, s: 1, d: 1, e: 1, z: 5}.\n' | b'1/33\n' | deepmind/math_dataset |
b'Let v = 35 + -42. Let n(c) = 5*c**2 + 7*c + 10. Let a(o) = -4*o**2 - 7*o - 8. Let j(u) = 3*u + 51. Let f be j(-16). Let s(r) = f*n(r) + 4*a(r). Calculate s(v).\n' | b'-2\n' | b'Let v = 35 + -42. Let n(c) = 5*c**2 + 7*c + 10. Let a(o) = -4*o**2 - 7*o - 8. Let j(u) = 3*u + 51. Let f be j(-16). Let s(r) = f*n(r) + 4*a(r). Calculate s(v).\n' | b'-2\n' | deepmind/math_dataset |
b'Let j(w) = -3*w**2 - 3*w + 2*w - 1 - 2*w**2. Suppose 16 = 9*x - 29. Suppose x*n = -9 + 4. Determine j(n).\n' | b'-5\n' | b'Let j(w) = -3*w**2 - 3*w + 2*w - 1 - 2*w**2. Suppose 16 = 9*x - 29. Suppose x*n = -9 + 4. Determine j(n).\n' | b'-5\n' | deepmind/math_dataset |
b'Let w(p) = -p**2 + 9*p - 12. Let g be w(5). Let m be 2/g - 21/(-12). Find the third derivative of 12*h + 14*h**6 + 2*h**2 + m*h**2 - 12*h wrt h.\n' | b'1680*h**3\n' | b'Let w(p) = -p**2 + 9*p - 12. Let g be w(5). Let m be 2/g - 21/(-12). Find the third derivative of 12*h + 14*h**6 + 2*h**2 + m*h**2 - 12*h wrt h.\n' | b'1680*h**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ntk. What is prob of sequence tn?\n' | b'1/6\n' | b'Two letters picked without replacement from ntk. What is prob of sequence tn?\n' | b'1/6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qtdqdqqt. What is prob of picking 1 d and 2 q?\n' | b'3/14\n' | b'Three letters picked without replacement from qtdqdqqt. What is prob of picking 1 d and 2 q?\n' | b'3/14\n' | deepmind/math_dataset |
b'Simplify (k**(-11)*k)/((k*k**(-9)/k)/k)*k**(-1/13)*k**(-2/5) assuming k is positive.\n' | b'k**(-31/65)\n' | b'Simplify (k**(-11)*k)/((k*k**(-9)/k)/k)*k**(-1/13)*k**(-2/5) assuming k is positive.\n' | b'k**(-31/65)\n' | deepmind/math_dataset |
b'Let c = 164 + -233. Let y = c + 71. Suppose 23*g - 22*g - y = 0. Let i(v) = -v**3 + 2*v**2 - 2*v + 3. Give i(g).\n' | b'-1\n' | b'Let c = 164 + -233. Let y = c + 71. Suppose 23*g - 22*g - y = 0. Let i(v) = -v**3 + 2*v**2 - 2*v + 3. Give i(g).\n' | b'-1\n' | deepmind/math_dataset |
b'Let y(p) = 2*p - 15. Let v be y(6). Let c be -2*(-2 + 0 - v). Let b(x) = 2*x**3 - x**2 - 4*x - 3. Determine b(c).\n' | b'-15\n' | b'Let y(p) = 2*p - 15. Let v be y(6). Let c be -2*(-2 + 0 - v). Let b(x) = 2*x**3 - x**2 - 4*x - 3. Determine b(c).\n' | b'-15\n' | deepmind/math_dataset |
b'Calculate prob of sequence lka when three letters picked without replacement from urkraxllalrk.\n' | b'1/110\n' | b'Calculate prob of sequence lka when three letters picked without replacement from urkraxllalrk.\n' | b'1/110\n' | deepmind/math_dataset |
b'Calculate prob of sequence xg when two letters picked without replacement from xyxxyozxgxxgggxgx.\n' | b'5/34\n' | b'Calculate prob of sequence xg when two letters picked without replacement from xyxxyozxgxxgggxgx.\n' | b'5/34\n' | deepmind/math_dataset |
b'Let i = 15 + -9. Let t(k) be the first derivative of k**4/4 - 7*k**3/3 + 7*k**2/2 + 6*k - 939. Calculate t(i).\n' | b'12\n' | b'Let i = 15 + -9. Let t(k) be the first derivative of k**4/4 - 7*k**3/3 + 7*k**2/2 + 6*k - 939. Calculate t(i).\n' | b'12\n' | deepmind/math_dataset |
b'Three letters picked without replacement from wywyyyywywwwwwywyyy. What is prob of sequence wyy?\n' | b'45/323\n' | b'Three letters picked without replacement from wywyyyywywwwwwywyyy. What is prob of sequence wyy?\n' | b'45/323\n' | deepmind/math_dataset |
b'Simplify ((x**5)**(-40)/(x/x**(-4/9)*x*x**(7/5)*x))**30 assuming x is positive.\n' | b'x**(-18436/3)\n' | b'Simplify ((x**5)**(-40)/(x/x**(-4/9)*x*x**(7/5)*x))**30 assuming x is positive.\n' | b'x**(-18436/3)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mmzaaamazamazmm. Give prob of picking 3 m.\n' | b'4/91\n' | b'Three letters picked without replacement from mmzaaamazamazmm. Give prob of picking 3 m.\n' | b'4/91\n' | deepmind/math_dataset |
b'Differentiate -3*y - 80557 + 4*y + 79134 + 162*y**3 wrt y.\n' | b'486*y**2 + 1\n' | b'Differentiate -3*y - 80557 + 4*y + 79134 + 162*y**3 wrt y.\n' | b'486*y**2 + 1\n' | deepmind/math_dataset |
b'Suppose -6*v + 10*v - 4*o = 52, -5*o - 49 = -3*v. Suppose 24*m - v + 8 = 0. Solve u + 5*k = -u - 4, k = m for u.\n' | b'-2\n' | b'Suppose -6*v + 10*v - 4*o = 52, -5*o - 49 = -3*v. Suppose 24*m - v + 8 = 0. Solve u + 5*k = -u - 4, k = m for u.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 0 = -5*m - 4*k - 10, k = 4*m - k - 18. Solve f + 5 = m*o - 1, 0 = 4*f - 2*o - 6 for f.\n' | b'4\n' | b'Suppose 0 = -5*m - 4*k - 10, k = 4*m - k - 18. Solve f + 5 = m*o - 1, 0 = 4*f - 2*o - 6 for f.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (l*l**(-6/13))**16/(l**(7/5))**(-3/4) assuming l is positive.\n' | b'l**(2513/260)\n' | b'Simplify (l*l**(-6/13))**16/(l**(7/5))**(-3/4) assuming l is positive.\n' | b'l**(2513/260)\n' | deepmind/math_dataset |
b'Let a(s) = -242*s**3 - 10*s**2 - 20*s - 230. Let w(c) = 241*c**3 + 8*c**2 + 16*c + 231. Let u(m) = -4*a(m) - 5*w(m). Find the first derivative of u(k) wrt k.\n' | b'-711*k**2\n' | b'Let a(s) = -242*s**3 - 10*s**2 - 20*s - 230. Let w(c) = 241*c**3 + 8*c**2 + 16*c + 231. Let u(m) = -4*a(m) - 5*w(m). Find the first derivative of u(k) wrt k.\n' | b'-711*k**2\n' | deepmind/math_dataset |
b'Let k be ((-8)/(-16))/((-2)/(-92)). What is the second derivative of -2*o**2 - k + 19 + 179*o**3 + 2*o**2 + 27*o - o**2 wrt o?\n' | b'1074*o - 2\n' | b'Let k be ((-8)/(-16))/((-2)/(-92)). What is the second derivative of -2*o**2 - k + 19 + 179*o**3 + 2*o**2 + 27*o - o**2 wrt o?\n' | b'1074*o - 2\n' | deepmind/math_dataset |
b'Suppose -3*f - 4 = 5*s - 28, -f - s = -8. Find the second derivative of -25*a - 1 + 89*a**4 + 9*a**3 - f*a**3 - 43*a**4 wrt a.\n' | b'552*a**2 + 6*a\n' | b'Suppose -3*f - 4 = 5*s - 28, -f - s = -8. Find the second derivative of -25*a - 1 + 89*a**4 + 9*a**3 - f*a**3 - 43*a**4 wrt a.\n' | b'552*a**2 + 6*a\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 3, q: 1, m: 7, j: 1, v: 1}. What is prob of picking 1 j and 1 q?\n' | b'1/78\n' | b'Two letters picked without replacement from {e: 3, q: 1, m: 7, j: 1, v: 1}. What is prob of picking 1 j and 1 q?\n' | b'1/78\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zwzwtntmmtmmnwznz. Give prob of sequence zw.\n' | b'3/68\n' | b'Two letters picked without replacement from zwzwtntmmtmmnwznz. Give prob of sequence zw.\n' | b'3/68\n' | deepmind/math_dataset |
b'What is prob of picking 4 u when four letters picked without replacement from {u: 9}?\n' | b'1\n' | b'What is prob of picking 4 u when four letters picked without replacement from {u: 9}?\n' | b'1\n' | deepmind/math_dataset |
b'Let k(h) = h**3 + 5*h**2 + h + 7. Let i(c) = c + 12. Let p be i(-5). Let t = p - 12. Give k(t).\n' | b'2\n' | b'Let k(h) = h**3 + 5*h**2 + h + 7. Let i(c) = c + 12. Let p be i(-5). Let t = p - 12. Give k(t).\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 1 p, 1 u, and 1 d when three letters picked without replacement from {u: 7, p: 1, h: 3, d: 1}?\n' | b'7/220\n' | b'What is prob of picking 1 p, 1 u, and 1 d when three letters picked without replacement from {u: 7, p: 1, h: 3, d: 1}?\n' | b'7/220\n' | deepmind/math_dataset |
b'Let j(d) = 0 + 4 - 2*d + 0 - 9. Calculate j(4).\n' | b'-13\n' | b'Let j(d) = 0 + 4 - 2*d + 0 - 9. Calculate j(4).\n' | b'-13\n' | deepmind/math_dataset |
b'Let x(t) = -5*t - 3. Let m be x(-1). Suppose -4*q - 9 - 7 = 0, -4*w - 4*q = 4. What is the second derivative of 4*s**3 - m*s + 4*s + 0*s**w wrt s?\n' | b'24*s\n' | b'Let x(t) = -5*t - 3. Let m be x(-1). Suppose -4*q - 9 - 7 = 0, -4*w - 4*q = 4. What is the second derivative of 4*s**3 - m*s + 4*s + 0*s**w wrt s?\n' | b'24*s\n' | deepmind/math_dataset |
b'Simplify (s**2/(((s*s/((s**(-7/3)*s)/s))/s)/s))**(-1/24) assuming s is positive.\n' | b's**(1/72)\n' | b'Simplify (s**2/(((s*s/((s**(-7/3)*s)/s))/s)/s))**(-1/24) assuming s is positive.\n' | b's**(1/72)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from yyyxpyppyyppxppxp. Give prob of picking 3 x and 1 y.\n' | b'3/1190\n' | b'Four letters picked without replacement from yyyxpyppyyppxppxp. Give prob of picking 3 x and 1 y.\n' | b'3/1190\n' | deepmind/math_dataset |
b'Suppose -7*q = -q - 24. Let h be 3*(0 - (-3 - -1)). Differentiate -q + h + 0 - 2*r wrt r.\n' | b'-2\n' | b'Suppose -7*q = -q - 24. Let h be 3*(0 - (-3 - -1)). Differentiate -q + h + 0 - 2*r wrt r.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 3*l - 351 = -345. Solve 9 = r + 5*s, -s = 5*r + l - 23 for r.\n' | b'4\n' | b'Suppose 3*l - 351 = -345. Solve 9 = r + 5*s, -s = 5*r + l - 23 for r.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((j**4/j)/(j**(-1/11)/j))/((j**1/j*j)/j**(1/2))*(j*j**1)/j**(2/29)*j/j**6*(j/(j/j**4*j))/j assuming j is positive.\n' | b'j**(1609/638)\n' | b'Simplify ((j**4/j)/(j**(-1/11)/j))/((j**1/j*j)/j**(1/2))*(j*j**1)/j**(2/29)*j/j**6*(j/(j/j**4*j))/j assuming j is positive.\n' | b'j**(1609/638)\n' | deepmind/math_dataset |
b'Simplify v**(-1/7)*v**(1/15) assuming v is positive.\n' | b'v**(-8/105)\n' | b'Simplify v**(-1/7)*v**(1/15) assuming v is positive.\n' | b'v**(-8/105)\n' | deepmind/math_dataset |
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