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 l(k) be the second derivative of -163*k**5/5 - 887*k**4/12 - 515*k. What is the third derivative of l(y) wrt y?\n' | b'-3912\n' | b'Let l(k) be the second derivative of -163*k**5/5 - 887*k**4/12 - 515*k. What is the third derivative of l(y) wrt y?\n' | b'-3912\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 1, r: 2, z: 6, g: 5, t: 5}. Give prob of picking 1 z and 2 r.\n' | b'2/323\n' | b'Three letters picked without replacement from {b: 1, r: 2, z: 6, g: 5, t: 5}. Give prob of picking 1 z and 2 r.\n' | b'2/323\n' | deepmind/math_dataset |
b'Let c(x) be the first derivative of -x**5/30 - x**4/8 + x**3/3 - 4. Let n(s) be the third derivative of c(s). Differentiate n(t) with respect to t.\n' | b'-4\n' | b'Let c(x) be the first derivative of -x**5/30 - x**4/8 + x**3/3 - 4. Let n(s) be the third derivative of c(s). Differentiate n(t) with respect to t.\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 1, t: 2, e: 3, a: 2, q: 4}. Give prob of picking 2 e, 1 t, and 1 q.\n' | b'8/165\n' | b'Four letters picked without replacement from {i: 1, t: 2, e: 3, a: 2, q: 4}. Give prob of picking 2 e, 1 t, and 1 q.\n' | b'8/165\n' | deepmind/math_dataset |
b'Suppose 2*o + 2*o - 56 = 0. What is the second derivative of -n + o*n**3 - 6 + 0 + 6 wrt n?\n' | b'84*n\n' | b'Suppose 2*o + 2*o - 56 = 0. What is the second derivative of -n + o*n**3 - 6 + 0 + 6 wrt n?\n' | b'84*n\n' | deepmind/math_dataset |
b'What is prob of picking 1 x, 1 a, and 1 l when three letters picked without replacement from {x: 4, l: 4, a: 8}?\n' | b'8/35\n' | b'What is prob of picking 1 x, 1 a, and 1 l when three letters picked without replacement from {x: 4, l: 4, a: 8}?\n' | b'8/35\n' | deepmind/math_dataset |
b'Let u(l) be the first derivative of -l**3/3 + l**2 - l + 131. Determine u(0).\n' | b'-1\n' | b'Let u(l) be the first derivative of -l**3/3 + l**2 - l + 131. Determine u(0).\n' | b'-1\n' | deepmind/math_dataset |
b'Let l(n) = n**2 - 15*n - 36. Let y be l(-3). Suppose -12 = -5*p - c + 2*c, -3*p - 3*c = -y. Solve p*z = 6*z - 3, -4*o - 5*z + 21 = 0 for o.\n' | b'4\n' | b'Let l(n) = n**2 - 15*n - 36. Let y be l(-3). Suppose -12 = -5*p - c + 2*c, -3*p - 3*c = -y. Solve p*z = 6*z - 3, -4*o - 5*z + 21 = 0 for o.\n' | b'4\n' | deepmind/math_dataset |
b'Let h(g) = 4*g - 197. Let j be h(15). Let d = 139 + j. Solve 0 = 4*m + 12, -d*m = -2*y - 3*m - 13 for y.\n' | b'-5\n' | b'Let h(g) = 4*g - 197. Let j be h(15). Let d = 139 + j. Solve 0 = 4*m + 12, -d*m = -2*y - 3*m - 13 for y.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify v**(-4/9)/(v/(v*v**14/v)) assuming v is positive.\n' | b'v**(113/9)\n' | b'Simplify v**(-4/9)/(v/(v*v**14/v)) assuming v is positive.\n' | b'v**(113/9)\n' | deepmind/math_dataset |
b'Simplify ((r/((r/r**(-3))/r*r)*r)/r**(3/5))/(((r/(r*(r*(r*r*r**(2/5)*r*r)/r)/r*r))/r)/r)**40*((r**1/r)/r**(-1))/(r**5/r**3) assuming r is positive.\n' | b'r**(1262/5)\n' | b'Simplify ((r/((r/r**(-3))/r*r)*r)/r**(3/5))/(((r/(r*(r*(r*r*r**(2/5)*r*r)/r)/r*r))/r)/r)**40*((r**1/r)/r**(-1))/(r**5/r**3) assuming r is positive.\n' | b'r**(1262/5)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from azababjazbz. What is prob of sequence bb?\n' | b'3/55\n' | b'Two letters picked without replacement from azababjazbz. What is prob of sequence bb?\n' | b'3/55\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u and 1 x when two letters picked without replacement from ypypuyhxphxyuyyvphhx.\n' | b'3/95\n' | b'Calculate prob of picking 1 u and 1 x when two letters picked without replacement from ypypuyhxphxyuyyvphhx.\n' | b'3/95\n' | deepmind/math_dataset |
b'Let j(c) = c**3 + 6*c**2 + 5*c - 5. Let f be j(-5). Let h = f - -7. Solve 3*r - 2*g - 10 = 0, h*r - 5*g = -0*r + 3 for r.\n' | b'4\n' | b'Let j(c) = c**3 + 6*c**2 + 5*c - 5. Let f be j(-5). Let h = f - -7. Solve 3*r - 2*g - 10 = 0, h*r - 5*g = -0*r + 3 for r.\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {j: 1, g: 1, k: 9, t: 1, u: 2, h: 1}. What is prob of sequence uuhg?\n' | b'1/16380\n' | b'Four letters picked without replacement from {j: 1, g: 1, k: 9, t: 1, u: 2, h: 1}. What is prob of sequence uuhg?\n' | b'1/16380\n' | deepmind/math_dataset |
b'Simplify (((r*r**(-9/5)*r*r*r*r*r**(-16)*r)/((r**(-13)/r)/(r/(r*r**(-3/17))*r*r)))**4)**(-10/7) assuming r is positive.\n' | b'r**(-2976/119)\n' | b'Simplify (((r*r**(-9/5)*r*r*r*r*r**(-16)*r)/((r**(-13)/r)/(r/(r*r**(-3/17))*r*r)))**4)**(-10/7) assuming r is positive.\n' | b'r**(-2976/119)\n' | deepmind/math_dataset |
b'Let c(w) = -w**3 - 10*w**2 - 4. Suppose 6*s = -68 + 188. Suppose -s*h + 14 = -3*k - 16*h, 60 = -4*k - 5*h. Determine c(k).\n' | b'-4\n' | b'Let c(w) = -w**3 - 10*w**2 - 4. Suppose 6*s = -68 + 188. Suppose -s*h + 14 = -3*k - 16*h, 60 = -4*k - 5*h. Determine c(k).\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (((r/(r*r**(-29)))/r)/r*(r**15*r)/r)/(r**(-2/3)*r**(-11)/r) assuming r is positive.\n' | b'r**(164/3)\n' | b'Simplify (((r/(r*r**(-29)))/r)/r*(r**15*r)/r)/(r**(-2/3)*r**(-11)/r) assuming r is positive.\n' | b'r**(164/3)\n' | deepmind/math_dataset |
b'Let c(z) be the third derivative of -8*z**2 + 0*z**6 + 1/10*z**7 + 4 + 0*z + 9/10*z**5 + 0*z**3 + 0*z**4. Find the third derivative of c(o) wrt o.\n' | b'504*o\n' | b'Let c(z) be the third derivative of -8*z**2 + 0*z**6 + 1/10*z**7 + 4 + 0*z + 9/10*z**5 + 0*z**3 + 0*z**4. Find the third derivative of c(o) wrt o.\n' | b'504*o\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 q when two letters picked without replacement from yrrprqyryyyyuuqyuyu.\n' | b'1/171\n' | b'Calculate prob of picking 2 q when two letters picked without replacement from yrrprqyryyyyuuqyuyu.\n' | b'1/171\n' | deepmind/math_dataset |
b'Suppose -2*l = 2*l + 3*u - 27, 5*l - 30 = -3*u. Suppose -l*a = -4*a - 30. Let m be 12/a - 12/(-5). Solve m*r + 30 = -4*d, 42 = -4*r - 2*d + 12 for r.\n' | b'-5\n' | b'Suppose -2*l = 2*l + 3*u - 27, 5*l - 30 = -3*u. Suppose -l*a = -4*a - 30. Let m be 12/a - 12/(-5). Solve m*r + 30 = -4*d, 42 = -4*r - 2*d + 12 for r.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 y and 2 u when three letters picked without replacement from {x: 1, y: 5, k: 1, u: 2}.\n' | b'5/84\n' | b'Calculate prob of picking 1 y and 2 u when three letters picked without replacement from {x: 1, y: 5, k: 1, u: 2}.\n' | b'5/84\n' | deepmind/math_dataset |
b'Let x = 84 - 66. Let l be x/(-81) + (-2)/(-9). Solve -25 = -u + 5*v, -2*u + 2*v + 4 + 6 = l for u.\n' | b'0\n' | b'Let x = 84 - 66. Let l be x/(-81) + (-2)/(-9). Solve -25 = -u + 5*v, -2*u + 2*v + 4 + 6 = l for u.\n' | b'0\n' | deepmind/math_dataset |
b'Let o(z) = 3 - 97*z + 5 - z**2 - 4 + 96*z. Suppose -4*f = 2*l - 10, -5*f - l + 54 = 37. Give o(f).\n' | b'-16\n' | b'Let o(z) = 3 - 97*z + 5 - z**2 - 4 + 96*z. Suppose -4*f = 2*l - 10, -5*f - l + 54 = 37. Give o(f).\n' | b'-16\n' | deepmind/math_dataset |
b'Let u(j) be the third derivative of j**6/15 + j**5/60 - j**3/6 + 17*j**2. Suppose 4 = -17*f + 13*f. Give u(f).\n' | b'-8\n' | b'Let u(j) be the third derivative of j**6/15 + j**5/60 - j**3/6 + 17*j**2. Suppose 4 = -17*f + 13*f. Give u(f).\n' | b'-8\n' | deepmind/math_dataset |
b'Simplify (t/t**(-4/25)*t**0)**(-4/11) assuming t is positive.\n' | b't**(-116/275)\n' | b'Simplify (t/t**(-4/25)*t**0)**(-4/11) assuming t is positive.\n' | b't**(-116/275)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k and 1 y when two letters picked without replacement from {z: 2, y: 8, k: 2, i: 3}.\n' | b'16/105\n' | b'Calculate prob of picking 1 k and 1 y when two letters picked without replacement from {z: 2, y: 8, k: 2, i: 3}.\n' | b'16/105\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 1 h when two letters picked without replacement from heibozo?\n' | b'1/21\n' | b'What is prob of picking 1 e and 1 h when two letters picked without replacement from heibozo?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let i(q) = q**2 + 8*q - 16. Let f be i(2). Suppose f*h = 0, 3 = 4*c - 2*h - 9. Let p be (3 - 3)/(-2*1). Solve 3*j + c*d + 6 + 9 = p, -20 = 2*j + 4*d for j.\n' | b'0\n' | b'Let i(q) = q**2 + 8*q - 16. Let f be i(2). Suppose f*h = 0, 3 = 4*c - 2*h - 9. Let p be (3 - 3)/(-2*1). Solve 3*j + c*d + 6 + 9 = p, -20 = 2*j + 4*d for j.\n' | b'0\n' | deepmind/math_dataset |
b'Let z(s) = 48*s**2 + 3*s + 1. Let f(j) = -2*j**2 - j. Let b(c) = 3*f(c) + z(c). What is b(-1)?\n' | b'43\n' | b'Let z(s) = 48*s**2 + 3*s + 1. Let f(j) = -2*j**2 - j. Let b(c) = 3*f(c) + z(c). What is b(-1)?\n' | b'43\n' | deepmind/math_dataset |
b'Let v(k) be the first derivative of k**3/3 - 5*k**2/2 - 2. Let q be v(5). Suppose -10*u + 3*u + 14 = q. Solve -u*n - 5*y + y = -14, -n = -4*y + 5 for n.\n' | b'3\n' | b'Let v(k) be the first derivative of k**3/3 - 5*k**2/2 - 2. Let q be v(5). Suppose -10*u + 3*u + 14 = q. Solve -u*n - 5*y + y = -14, -n = -4*y + 5 for n.\n' | b'3\n' | deepmind/math_dataset |
b'Let r(v) = v**2 + v + 5. Let w(u) = -u**2 - 2*u - 5. Let g(t) = 5*r(t) + 6*w(t). Let x(q) = -q**3 - 8*q**2 + 5*q - 40. Let m be x(-9). Give g(m).\n' | b'7\n' | b'Let r(v) = v**2 + v + 5. Let w(u) = -u**2 - 2*u - 5. Let g(t) = 5*r(t) + 6*w(t). Let x(q) = -q**3 - 8*q**2 + 5*q - 40. Let m be x(-9). Give g(m).\n' | b'7\n' | deepmind/math_dataset |
b'Let m(x) be the third derivative of -x**6/120 + x**5/12 - 5*x**4/24 + x**3/3 + x**2 + 26. Suppose 4*p = p + 9. Determine m(p).\n' | b'5\n' | b'Let m(x) be the third derivative of -x**6/120 + x**5/12 - 5*x**4/24 + x**3/3 + x**2 + 26. Suppose 4*p = p + 9. Determine m(p).\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 4*v + 4 = 2*c, -v + 8 = -3*v + 4*c. Suppose 3*l - 22 = -4*k - 5, -4*l + 10 = -k. Solve 0 = -q - d - 7, v = -6*d + k*d - 8 for q.\n' | b'-5\n' | b'Suppose 4*v + 4 = 2*c, -v + 8 = -3*v + 4*c. Suppose 3*l - 22 = -4*k - 5, -4*l + 10 = -k. Solve 0 = -q - d - 7, v = -6*d + k*d - 8 for q.\n' | b'-5\n' | deepmind/math_dataset |
b'Let m(k) = -234*k - 7. Let u be m(-10). Let x(r) = -r**3 + 3 - u*r + 2*r**3 - 3*r**2 + 2333*r. Determine x(3).\n' | b'3\n' | b'Let m(k) = -234*k - 7. Let u be m(-10). Let x(r) = -r**3 + 3 - u*r + 2*r**3 - 3*r**2 + 2333*r. Determine x(3).\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence mcp when three letters picked without replacement from {m: 10, g: 1, p: 2, c: 1, h: 3}?\n' | b'1/204\n' | b'What is prob of sequence mcp when three letters picked without replacement from {m: 10, g: 1, p: 2, c: 1, h: 3}?\n' | b'1/204\n' | deepmind/math_dataset |
b'Calculate prob of sequence kkd when three letters picked without replacement from {d: 2, m: 4, f: 2, g: 3, k: 2}.\n' | b'1/429\n' | b'Calculate prob of sequence kkd when three letters picked without replacement from {d: 2, m: 4, f: 2, g: 3, k: 2}.\n' | b'1/429\n' | deepmind/math_dataset |
b'What is prob of picking 1 y and 2 p when three letters picked without replacement from pplayap?\n' | b'3/35\n' | b'What is prob of picking 1 y and 2 p when three letters picked without replacement from pplayap?\n' | b'3/35\n' | deepmind/math_dataset |
b'Let l(x) be the first derivative of -3605*x**3/3 - x**2 - 372*x + 287. Find the second derivative of l(j) wrt j.\n' | b'-7210\n' | b'Let l(x) be the first derivative of -3605*x**3/3 - x**2 - 372*x + 287. Find the second derivative of l(j) wrt j.\n' | b'-7210\n' | deepmind/math_dataset |
b'Simplify ((j*(j/j**(-2/3))/j*j*j**(-1/3))**(1/21))**(1/5) assuming j is positive.\n' | b'j**(1/45)\n' | b'Simplify ((j*(j/j**(-2/3))/j*j*j**(-1/3))**(1/21))**(1/5) assuming j is positive.\n' | b'j**(1/45)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ww when two letters picked without replacement from {z: 2, w: 4}.\n' | b'2/5\n' | b'Calculate prob of sequence ww when two letters picked without replacement from {z: 2, w: 4}.\n' | b'2/5\n' | deepmind/math_dataset |
b'What is prob of sequence flfu when four letters picked without replacement from flrfuutt?\n' | b'1/420\n' | b'What is prob of sequence flfu when four letters picked without replacement from flrfuutt?\n' | b'1/420\n' | deepmind/math_dataset |
b'Simplify (a**(-4/33))**39/((a/(a**38*a))/((a/a**15)/a)) assuming a is positive.\n' | b'a**(201/11)\n' | b'Simplify (a**(-4/33))**39/((a/(a**38*a))/((a/a**15)/a)) assuming a is positive.\n' | b'a**(201/11)\n' | deepmind/math_dataset |
b'Let s be -9*(-4)/(-36) + (-134)/(-2). Let q be (-32 - 0)*(-2 - 0). Let d = s - q. Solve 0 = l - 2*w + 6, 2*w + d = 4*w for l.\n' | b'-4\n' | b'Let s be -9*(-4)/(-36) + (-134)/(-2). Let q be (-32 - 0)*(-2 - 0). Let d = s - q. Solve 0 = l - 2*w + 6, 2*w + d = 4*w for l.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -2 + 12 = 5*q - 3*x, -30 = -5*q - x. Solve -5*k - 6 = 4*s - 2*k, 3*k + 6 = q*s for s.\n' | b'0\n' | b'Suppose -2 + 12 = 5*q - 3*x, -30 = -5*q - x. Solve -5*k - 6 = 4*s - 2*k, 3*k + 6 = q*s for s.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from vtwpvwwyyv. What is prob of sequence www?\n' | b'1/120\n' | b'Three letters picked without replacement from vtwpvwwyyv. What is prob of sequence www?\n' | b'1/120\n' | deepmind/math_dataset |
b'Two letters picked without replacement from amnanntwaqmttaqatmna. What is prob of picking 1 t and 1 q?\n' | b'4/95\n' | b'Two letters picked without replacement from amnanntwaqmttaqatmna. What is prob of picking 1 t and 1 q?\n' | b'4/95\n' | deepmind/math_dataset |
b'Let m(u) = u**3 - 4*u**2 + 4*u - 6. Let n(y) = y**3 - 5*y**2 + 5*y - 6. Suppose -11*c = -20*c - 36. Let i(f) = c*m(f) + 3*n(f). Calculate i(0).\n' | b'6\n' | b'Let m(u) = u**3 - 4*u**2 + 4*u - 6. Let n(y) = y**3 - 5*y**2 + 5*y - 6. Suppose -11*c = -20*c - 36. Let i(f) = c*m(f) + 3*n(f). Calculate i(0).\n' | b'6\n' | deepmind/math_dataset |
b'Let s(b) be the third derivative of -b**7/1260 - b**6/360 + 7*b**5/60 - 12*b**2. Let l(d) be the third derivative of s(d). Differentiate l(w) with respect to w.\n' | b'-4\n' | b'Let s(b) be the third derivative of -b**7/1260 - b**6/360 + 7*b**5/60 - 12*b**2. Let l(d) be the third derivative of s(d). Differentiate l(w) with respect to w.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence tt when two letters picked without replacement from tutuutttut.\n' | b'1/3\n' | b'Calculate prob of sequence tt when two letters picked without replacement from tutuutttut.\n' | b'1/3\n' | deepmind/math_dataset |
b'Let q be (18/3)/(-2 - -4). Solve -3*d - 39 = 5*r - 12, -q*r = 9 for d.\n' | b'-4\n' | b'Let q be (18/3)/(-2 - -4). Solve -3*d - 39 = 5*r - 12, -q*r = 9 for d.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from fzxzzfoxzoxz. What is prob of sequence xo?\n' | b'1/22\n' | b'Two letters picked without replacement from fzxzzfoxzoxz. What is prob of sequence xo?\n' | b'1/22\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 9, n: 1, x: 9}. What is prob of sequence xgn?\n' | b'9/646\n' | b'Three letters picked without replacement from {g: 9, n: 1, x: 9}. What is prob of sequence xgn?\n' | b'9/646\n' | deepmind/math_dataset |
b'Let s = 8 - 6. Find the third derivative of x**4 + 3*x**s - 3*x**6 + 2*x**4 - 3*x**4 wrt x.\n' | b'-360*x**3\n' | b'Let s = 8 - 6. Find the third derivative of x**4 + 3*x**s - 3*x**6 + 2*x**4 - 3*x**4 wrt x.\n' | b'-360*x**3\n' | deepmind/math_dataset |
b'Let j(a) = -4*a - a**2 + 4 + a - 3 + 4*a. Let b(d) = 2*d. Let v(m) = -b(m) - j(m). Suppose 16 = t + 3*z, -2*z + 5*z - 28 = -4*t. Determine v(t).\n' | b'3\n' | b'Let j(a) = -4*a - a**2 + 4 + a - 3 + 4*a. Let b(d) = 2*d. Let v(m) = -b(m) - j(m). Suppose 16 = t + 3*z, -2*z + 5*z - 28 = -4*t. Determine v(t).\n' | b'3\n' | deepmind/math_dataset |
b'Let r = -17 - -21. Solve r*h - 2*n - 4 = 0, -3*h + 2 + 2 = -2*n for h.\n' | b'0\n' | b'Let r = -17 - -21. Solve r*h - 2*n - 4 = 0, -3*h + 2 + 2 = -2*n for h.\n' | b'0\n' | deepmind/math_dataset |
b'Let c = 1472 - 1466. Let x(u) be the second derivative of -1/2*u**5 - c*u + 0*u**4 + 5/3*u**3 + 0*u**2 + 0. Find the second derivative of x(y) wrt y.\n' | b'-60*y\n' | b'Let c = 1472 - 1466. Let x(u) be the second derivative of -1/2*u**5 - c*u + 0*u**4 + 5/3*u**3 + 0*u**2 + 0. Find the second derivative of x(y) wrt y.\n' | b'-60*y\n' | deepmind/math_dataset |
b'Suppose a - 2*s = 2, 4*s + 23 - 11 = 3*a. Suppose -a*r = 15 - 39. Solve 3*p - 2*z = 13, p + 0 = r*z + 2 for p.\n' | b'5\n' | b'Suppose a - 2*s = 2, 4*s + 23 - 11 = 3*a. Suppose -a*r = 15 - 39. Solve 3*p - 2*z = 13, p + 0 = r*z + 2 for p.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose p = -1 + 5. Suppose 0*q = -p*q + 44. Solve 3*g + 21 = -0*g + 3*r, -g = 5*r - q for g.\n' | b'-4\n' | b'Suppose p = -1 + 5. Suppose 0*q = -p*q + 44. Solve 3*g + 21 = -0*g + 3*r, -g = 5*r - q for g.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 2*z + 3 = 3*z. Let f be 2/(-8) - 15/(-12). Let c be f/4 - 4/16. Solve -z*i + 5*i = 5*m - 12, m + i - 1 = c for m.\n' | b'2\n' | b'Suppose 2*z + 3 = 3*z. Let f be 2/(-8) - 15/(-12). Let c be f/4 - 4/16. Solve -z*i + 5*i = 5*m - 12, m + i - 1 = c for m.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -10*x + 5*x = -15. Let f be 12/x + 1/1. Solve -3*r - 4*j = -22 + 7, f*j - 15 = -3*r for r.\n' | b'5\n' | b'Suppose -10*x + 5*x = -15. Let f be 12/x + 1/1. Solve -3*r - 4*j = -22 + 7, f*j - 15 = -3*r for r.\n' | b'5\n' | deepmind/math_dataset |
b'Let u = -8 - -10. What is the derivative of 3*x**2 + 3*x**2 + 2 - 5*x**2 - u*x**2 wrt x?\n' | b'-2*x\n' | b'Let u = -8 - -10. What is the derivative of 3*x**2 + 3*x**2 + 2 - 5*x**2 - u*x**2 wrt x?\n' | b'-2*x\n' | deepmind/math_dataset |
b'Simplify ((a/a**(2/11))/a)/(a**(-2/5)*a)*(a*(((a*a*a**0)/a)/a*a)/a*a)**(8/11) assuming a is positive.\n' | b'a**(37/55)\n' | b'Simplify ((a/a**(2/11))/a)/(a**(-2/5)*a)*(a*(((a*a*a**0)/a)/a*a)/a*a)**(8/11) assuming a is positive.\n' | b'a**(37/55)\n' | deepmind/math_dataset |
b'Let i be ((-5)/(-20))/(0 - 6/(-4)). Let k(m) be the third derivative of 0 + 3*m**2 + 0*m + i*m**3 - 7/24*m**4. Calculate k(1).\n' | b'-6\n' | b'Let i be ((-5)/(-20))/(0 - 6/(-4)). Let k(m) be the third derivative of 0 + 3*m**2 + 0*m + i*m**3 - 7/24*m**4. Calculate k(1).\n' | b'-6\n' | deepmind/math_dataset |
b'Let z(w) be the third derivative of w**6/120 - w**5/60 - 53*w**4/24 - 59*w**2 + 2*w. Find the second derivative of z(l) wrt l.\n' | b'6*l - 2\n' | b'Let z(w) be the third derivative of w**6/120 - w**5/60 - 53*w**4/24 - 59*w**2 + 2*w. Find the second derivative of z(l) wrt l.\n' | b'6*l - 2\n' | deepmind/math_dataset |
b'What is prob of sequence qxqd when four letters picked without replacement from {x: 3, q: 2, d: 7}?\n' | b'7/1980\n' | b'What is prob of sequence qxqd when four letters picked without replacement from {x: 3, q: 2, d: 7}?\n' | b'7/1980\n' | deepmind/math_dataset |
b'What is prob of sequence na when two letters picked without replacement from aiieyefeenaneeane?\n' | b'9/272\n' | b'What is prob of sequence na when two letters picked without replacement from aiieyefeenaneeane?\n' | b'9/272\n' | deepmind/math_dataset |
b'Find the third derivative of 4139*i**2 - 254234*i**4 - 1524*i**2 + 256769*i**4 wrt i.\n' | b'60840*i\n' | b'Find the third derivative of 4139*i**2 - 254234*i**4 - 1524*i**2 + 256769*i**4 wrt i.\n' | b'60840*i\n' | deepmind/math_dataset |
b'What is prob of picking 3 y when three letters picked without replacement from yyyjykkkkyyyj?\n' | b'35/286\n' | b'What is prob of picking 3 y when three letters picked without replacement from yyyjykkkkyyyj?\n' | b'35/286\n' | deepmind/math_dataset |
b'Simplify n*(n*n*n**(-9/2)*n*n)/n*n*n**9 assuming n is positive.\n' | b'n**(19/2)\n' | b'Simplify n*(n*n*n**(-9/2)*n*n)/n*n*n**9 assuming n is positive.\n' | b'n**(19/2)\n' | deepmind/math_dataset |
b'Find the first derivative of 13 - 19*o**3 + 5 - 4*o**2 + 4*o**2 wrt o.\n' | b'-57*o**2\n' | b'Find the first derivative of 13 - 19*o**3 + 5 - 4*o**2 + 4*o**2 wrt o.\n' | b'-57*o**2\n' | deepmind/math_dataset |
b'Let l(o) = 119*o**3 + 29*o**2 - 91*o - 20. Let j(a) = -40*a**3 - 10*a**2 + 32*a + 7. Let c(y) = -17*j(y) - 6*l(y). Determine c(1).\n' | b'-35\n' | b'Let l(o) = 119*o**3 + 29*o**2 - 91*o - 20. Let j(a) = -40*a**3 - 10*a**2 + 32*a + 7. Let c(y) = -17*j(y) - 6*l(y). Determine c(1).\n' | b'-35\n' | deepmind/math_dataset |
b'Let f(a) be the third derivative of -19*a**8/336 + 7*a**4/24 - 26*a**2. Find the second derivative of f(o) wrt o.\n' | b'-380*o**3\n' | b'Let f(a) be the third derivative of -19*a**8/336 + 7*a**4/24 - 26*a**2. Find the second derivative of f(o) wrt o.\n' | b'-380*o**3\n' | deepmind/math_dataset |
b'Let k be 6/(-51) + 300/2550. Let b(j) = j**3 + 12. Determine b(k).\n' | b'12\n' | b'Let k be 6/(-51) + 300/2550. Let b(j) = j**3 + 12. Determine b(k).\n' | b'12\n' | deepmind/math_dataset |
b'Simplify (s**(1/5)*s**(-2)*s**(5/6)*s**(-5)/s)**(-2/5) assuming s is positive.\n' | b's**(209/75)\n' | b'Simplify (s**(1/5)*s**(-2)*s**(5/6)*s**(-5)/s)**(-2/5) assuming s is positive.\n' | b's**(209/75)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {j: 1, c: 5, h: 4, x: 6}. Give prob of sequence chc.\n' | b'1/42\n' | b'Three letters picked without replacement from {j: 1, c: 5, h: 4, x: 6}. Give prob of sequence chc.\n' | b'1/42\n' | deepmind/math_dataset |
b'Let r(s) = 5*s**4 - 2*s**3 + 9*s**2. Let o(i) = -10*i**4 + 5*i**3 - 19*i**2. Let x(m) = 2*o(m) + 5*r(m). Find the third derivative of x(c) wrt c.\n' | b'120*c\n' | b'Let r(s) = 5*s**4 - 2*s**3 + 9*s**2. Let o(i) = -10*i**4 + 5*i**3 - 19*i**2. Let x(m) = 2*o(m) + 5*r(m). Find the third derivative of x(c) wrt c.\n' | b'120*c\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u and 1 d when two letters picked without replacement from {u: 2, d: 1, f: 1, c: 7, v: 5, x: 4}.\n' | b'1/95\n' | b'Calculate prob of picking 1 u and 1 d when two letters picked without replacement from {u: 2, d: 1, f: 1, c: 7, v: 5, x: 4}.\n' | b'1/95\n' | deepmind/math_dataset |
b'Let j(v) = -4*v - 15. Let g = -395 - -387. Calculate j(g).\n' | b'17\n' | b'Let j(v) = -4*v - 15. Let g = -395 - -387. Calculate j(g).\n' | b'17\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ppbbpppppp. Give prob of picking 2 b and 1 p.\n' | b'1/15\n' | b'Three letters picked without replacement from ppbbpppppp. Give prob of picking 2 b and 1 p.\n' | b'1/15\n' | deepmind/math_dataset |
b'Let g = 36 - 17. Suppose -5*a = -6 - g. Solve 0 = -v - 3*x - a - 7, -31 = -2*v + 5*x for v.\n' | b'3\n' | b'Let g = 36 - 17. Suppose -5*a = -6 - g. Solve 0 = -v - 3*x - a - 7, -31 = -2*v + 5*x for v.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nlwwwnhdhwfn. What is prob of sequence wh?\n' | b'2/33\n' | b'Two letters picked without replacement from nlwwwnhdhwfn. What is prob of sequence wh?\n' | b'2/33\n' | deepmind/math_dataset |
b'Let k = 0 + 0. Suppose k = -4*a + 3*w + 11, 4*w + 1 + 1 = -a. Suppose v - 4 = a. Let s(x) = x - 2. Determine s(v).\n' | b'4\n' | b'Let k = 0 + 0. Suppose k = -4*a + 3*w + 11, 4*w + 1 + 1 = -a. Suppose v - 4 = a. Let s(x) = x - 2. Determine s(v).\n' | b'4\n' | deepmind/math_dataset |
b'Let o = 31 + -38. Let j(q) = -2*q - 6. What is j(o)?\n' | b'8\n' | b'Let o = 31 + -38. Let j(q) = -2*q - 6. What is j(o)?\n' | b'8\n' | deepmind/math_dataset |
b'Simplify (m*m**(-1/4))/(m/m**(-1/2))*(m**2)**3*(m*m**2*m**(-2/11))/(m**1)**4 assuming m is positive.\n' | b'm**(179/44)\n' | b'Simplify (m*m**(-1/4))/(m/m**(-1/2))*(m**2)**3*(m*m**2*m**(-2/11))/(m**1)**4 assuming m is positive.\n' | b'm**(179/44)\n' | deepmind/math_dataset |
b'Let g(v) be the third derivative of -82*v - 1/60*v**5 + 0 + 0*v**6 + 27/35*v**7 - 3*v**2 + 0*v**4 + 1/3*v**3. Find the third derivative of g(o) wrt o.\n' | b'3888*o\n' | b'Let g(v) be the third derivative of -82*v - 1/60*v**5 + 0 + 0*v**6 + 27/35*v**7 - 3*v**2 + 0*v**4 + 1/3*v**3. Find the third derivative of g(o) wrt o.\n' | b'3888*o\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 t and 2 s when four letters picked without replacement from ttstttttstttt.\n' | b'1/13\n' | b'Calculate prob of picking 2 t and 2 s when four letters picked without replacement from ttstttttstttt.\n' | b'1/13\n' | deepmind/math_dataset |
b'Suppose 15*o - 110 = 5*o. Let q(z) = -3*z + 23. Give q(o).\n' | b'-10\n' | b'Suppose 15*o - 110 = 5*o. Let q(z) = -3*z + 23. Give q(o).\n' | b'-10\n' | deepmind/math_dataset |
b'Suppose -5*f + 22 = 4*s, -2*f = -0*f + 3*s - 13. Let r(x) = 3*x**2 + 5*x + 5 - 4 - 2*x**f. Let b = -6 + 1. Give r(b).\n' | b'1\n' | b'Suppose -5*f + 22 = 4*s, -2*f = -0*f + 3*s - 13. Let r(x) = 3*x**2 + 5*x + 5 - 4 - 2*x**f. Let b = -6 + 1. Give r(b).\n' | b'1\n' | deepmind/math_dataset |
b'Let i(t) = 17*t**3 - 5*t**2 + 7. Let c(o) = 93*o**3 - 25*o**2 + 35. Let u(v) = 2*c(v) - 11*i(v). Give u(3).\n' | b'11\n' | b'Let i(t) = 17*t**3 - 5*t**2 + 7. Let c(o) = 93*o**3 - 25*o**2 + 35. Let u(v) = 2*c(v) - 11*i(v). Give u(3).\n' | b'11\n' | deepmind/math_dataset |
b'Suppose -3*n + 2*n - 12 = -5*p, 5*n = 3*p - 16. Let u be n/3 + 39/(-9). Let c(q) = -q**2 - 4*q - 1. Calculate c(u).\n' | b'-6\n' | b'Suppose -3*n + 2*n - 12 = -5*p, 5*n = 3*p - 16. Let u be n/3 + 39/(-9). Let c(q) = -q**2 - 4*q - 1. Calculate c(u).\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose 2*b - 6 + 4 = 0. Solve -2*p = 3*q + 2, 0 = 5*q + 2*p + 7 - b for q.\n' | b'-2\n' | b'Suppose 2*b - 6 + 4 = 0. Solve -2*p = 3*q + 2, 0 = 5*q + 2*p + 7 - b for q.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (o*((o/((o/o**15)/o))/o)/o*o*o**0)/((((o*(o**(-23)*o)/o)/o)/o)/o*o*o/(o*o*o**(-30)/o*o)) assuming o is positive.\n' | b'o**11\n' | b'Simplify (o*((o/((o/o**15)/o))/o)/o*o*o**0)/((((o*(o**(-23)*o)/o)/o)/o)/o*o*o/(o*o*o**(-30)/o*o)) assuming o is positive.\n' | b'o**11\n' | deepmind/math_dataset |
b'Simplify ((b/b**5)/(b**(-14)*b))**35 assuming b is positive.\n' | b'b**315\n' | b'Simplify ((b/b**5)/(b**(-14)*b))**35 assuming b is positive.\n' | b'b**315\n' | deepmind/math_dataset |
b'Let o be 0 - -3 - 2/2. Suppose 0 = -4*k - 16, 48 = 5*l - 5*k + 13. Suppose 0*a = -l*a + 18. Solve -o*q + 28 = 3*q - n, -a = 2*n for q.\n' | b'5\n' | b'Let o be 0 - -3 - 2/2. Suppose 0 = -4*k - 16, 48 = 5*l - 5*k + 13. Suppose 0*a = -l*a + 18. Solve -o*q + 28 = 3*q - n, -a = 2*n for q.\n' | b'5\n' | deepmind/math_dataset |
b'Let p(l) = l**3 - 7*l**2 - 8*l + 12. Let s be p(8). Suppose 0 = -2*g - 0*g. Let y = g + s. Solve 4*d = -3*f - y, 2*f + 12 = -d - f for d.\n' | b'0\n' | b'Let p(l) = l**3 - 7*l**2 - 8*l + 12. Let s be p(8). Suppose 0 = -2*g - 0*g. Let y = g + s. Solve 4*d = -3*f - y, 2*f + 12 = -d - f for d.\n' | b'0\n' | deepmind/math_dataset |
b'Let u(n) be the third derivative of 7/6*n**3 - 2*n**2 + 1/24*n**4 + 1/30*n**6 + 1/30*n**5 + 0 - 37*n. What is the second derivative of u(r) wrt r?\n' | b'24*r + 4\n' | b'Let u(n) be the third derivative of 7/6*n**3 - 2*n**2 + 1/24*n**4 + 1/30*n**6 + 1/30*n**5 + 0 - 37*n. What is the second derivative of u(r) wrt r?\n' | b'24*r + 4\n' | deepmind/math_dataset |
b'Let l(t) = 16*t - 13. Let m be l(2). Let z(n) be the first derivative of 1/3*n**3 + 5 - m*n + 1/2*n**2. Give z(0).\n' | b'-19\n' | b'Let l(t) = 16*t - 13. Let m be l(2). Let z(n) be the first derivative of 1/3*n**3 + 5 - m*n + 1/2*n**2. Give z(0).\n' | b'-19\n' | deepmind/math_dataset |
b'Let d(o) = -38*o**3 + 8*o**2 - 4 - o**2 + 39*o**3 + o**2 + 0. Calculate d(-8).\n' | b'-4\n' | b'Let d(o) = -38*o**3 + 8*o**2 - 4 - o**2 + 39*o**3 + o**2 + 0. Calculate d(-8).\n' | b'-4\n' | deepmind/math_dataset |
b'Let u be (0/2*(-1)/(-2))/(-2). Let l = u + 1. Solve 0 = -5*h + d - 3*d - l, -5*d = -3*h - 13 for h.\n' | b'-1\n' | b'Let u be (0/2*(-1)/(-2))/(-2). Let l = u + 1. Solve 0 = -5*h + d - 3*d - l, -5*d = -3*h - 13 for h.\n' | b'-1\n' | deepmind/math_dataset |
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