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 o(z) = 23*z**2 - 31*z. Let c(w) = -34*w**2 + 46*w. Let l(a) = 5*c(a) + 7*o(a). Find the second derivative of l(x) wrt x.\n' | b'-18\n' | b'Let o(z) = 23*z**2 - 31*z. Let c(w) = -34*w**2 + 46*w. Let l(a) = 5*c(a) + 7*o(a). Find the second derivative of l(x) wrt x.\n' | b'-18\n' | deepmind/math_dataset |
b'Let o(m) = 18*m**3 - 2*m**2 + 2*m - 2. Let t be o(2). Let s be t/33 + 2/(-11). Suppose -v - 1 = -s. Solve 0 = -v*d - 2*k + 8, -4*d + k - 6 = -2 for d.\n' | b'0\n' | b'Let o(m) = 18*m**3 - 2*m**2 + 2*m - 2. Let t be o(2). Let s be t/33 + 2/(-11). Suppose -v - 1 = -s. Solve 0 = -v*d - 2*k + 8, -4*d + k - 6 = -2 for d.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (p**(1/36)*p*p/((p*p**(-20)*p)/p)*p)/((p/p**(8/11))/(p/(p/(p**23/p)))) assuming p is positive.\n' | b'p**(17327/396)\n' | b'Simplify (p**(1/36)*p*p/((p*p**(-20)*p)/p)*p)/((p/p**(8/11))/(p/(p/(p**23/p)))) assuming p is positive.\n' | b'p**(17327/396)\n' | deepmind/math_dataset |
b'Suppose 11 = -3*t + 29. What is the first derivative of -4*m**3 - 5 + 4*m**3 + 3*m**3 + t wrt m?\n' | b'9*m**2\n' | b'Suppose 11 = -3*t + 29. What is the first derivative of -4*m**3 - 5 + 4*m**3 + 3*m**3 + t wrt m?\n' | b'9*m**2\n' | deepmind/math_dataset |
b'Let u(y) = y**2 - 12*y + 11. Let b be u(9). Let l be (-4)/14 - b/7. Let f(h) = h + 2. Determine f(l).\n' | b'4\n' | b'Let u(y) = y**2 - 12*y + 11. Let b be u(9). Let l be (-4)/14 - b/7. Let f(h) = h + 2. Determine f(l).\n' | b'4\n' | deepmind/math_dataset |
b'Let k(a) = -11*a**3 + 11*a**2 - 3*a - 7. Let r(o) = 2*o**3 - o**2 + o. Let z(m) = -k(m) - 6*r(m). What is z(-5)?\n' | b'22\n' | b'Let k(a) = -11*a**3 + 11*a**2 - 3*a - 7. Let r(o) = 2*o**3 - o**2 + o. Let z(m) = -k(m) - 6*r(m). What is z(-5)?\n' | b'22\n' | deepmind/math_dataset |
b'Let h = -14184 - -14174. Let g(p) = p**3 + 11*p**2 + 12*p + 24. Calculate g(h).\n' | b'4\n' | b'Let h = -14184 - -14174. Let g(p) = p**3 + 11*p**2 + 12*p + 24. Calculate g(h).\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 1, l: 1, m: 1, i: 2, o: 1, w: 1}. Give prob of picking 1 m, 1 i, and 1 o.\n' | b'2/35\n' | b'Three letters picked without replacement from {a: 1, l: 1, m: 1, i: 2, o: 1, w: 1}. Give prob of picking 1 m, 1 i, and 1 o.\n' | b'2/35\n' | deepmind/math_dataset |
b'Calculate prob of sequence yy when two letters picked without replacement from rylylrll.\n' | b'1/28\n' | b'Calculate prob of sequence yy when two letters picked without replacement from rylylrll.\n' | b'1/28\n' | deepmind/math_dataset |
b'Calculate prob of sequence ssc when three letters picked without replacement from {m: 2, b: 1, c: 4, x: 1, s: 1}.\n' | b'0\n' | b'Calculate prob of sequence ssc when three letters picked without replacement from {m: 2, b: 1, c: 4, x: 1, s: 1}.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((b*(b/(b*b/(b**(-2/7)/b)*b)*b*b)/b)**(-34)/(b/(b**(-11)*b)*b**3/b))**20 assuming b is positive.\n' | b'b**(4300/7)\n' | b'Simplify ((b*(b/(b*b/(b**(-2/7)/b)*b)*b*b)/b)**(-34)/(b/(b**(-11)*b)*b**3/b))**20 assuming b is positive.\n' | b'b**(4300/7)\n' | deepmind/math_dataset |
b'Calculate prob of sequence tlv when three letters picked without replacement from llvvvvllvtvt.\n' | b'2/55\n' | b'Calculate prob of sequence tlv when three letters picked without replacement from llvvvvllvtvt.\n' | b'2/55\n' | deepmind/math_dataset |
b'Suppose m - 7 = -h, 0 = -2*h + 12*m - 16*m + 22. Suppose 3*o - 16 + 7 = 0. What is the derivative of -9*v**h - 5 - 2*v**o + 16 wrt v?\n' | b'-33*v**2\n' | b'Suppose m - 7 = -h, 0 = -2*h + 12*m - 16*m + 22. Suppose 3*o - 16 + 7 = 0. What is the derivative of -9*v**h - 5 - 2*v**o + 16 wrt v?\n' | b'-33*v**2\n' | deepmind/math_dataset |
b'Let l(r) = -7*r - 45. Let n be l(-7). Solve -2*z - 2*z = -y - 2, -3*z - 2*y = n for z.\n' | b'0\n' | b'Let l(r) = -7*r - 45. Let n be l(-7). Solve -2*z - 2*z = -y - 2, -3*z - 2*y = n for z.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (w**(-5/3)*(w*w/w**(1/15))/w)/(w**(-15)*w/(w/w**(1/25))) assuming w is positive.\n' | b'w**(1067/75)\n' | b'Simplify (w**(-5/3)*(w*w/w**(1/15))/w)/(w**(-15)*w/(w/w**(1/25))) assuming w is positive.\n' | b'w**(1067/75)\n' | deepmind/math_dataset |
b'Calculate prob of sequence tu when two letters picked without replacement from cpfgutg.\n' | b'1/42\n' | b'Calculate prob of sequence tu when two letters picked without replacement from cpfgutg.\n' | b'1/42\n' | deepmind/math_dataset |
b'Simplify ((q*(q*q**9*q)/q)**(-13))**(-2/45) assuming q is positive.\n' | b'q**(286/45)\n' | b'Simplify ((q*(q*q**9*q)/q)**(-13))**(-2/45) assuming q is positive.\n' | b'q**(286/45)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 2, y: 1, m: 2}. What is prob of picking 1 m and 1 w?\n' | b'2/5\n' | b'Two letters picked without replacement from {w: 2, y: 1, m: 2}. What is prob of picking 1 m and 1 w?\n' | b'2/5\n' | deepmind/math_dataset |
b'Suppose 3 = -9*j + 10*j. What is the third derivative of 2*b**2 + b**2 - j*b**2 + 2*b**2 - 5*b**5 wrt b?\n' | b'-300*b**2\n' | b'Suppose 3 = -9*j + 10*j. What is the third derivative of 2*b**2 + b**2 - j*b**2 + 2*b**2 - 5*b**5 wrt b?\n' | b'-300*b**2\n' | deepmind/math_dataset |
b'Simplify (((j*j**5)/(j*j/(j/j**1)*j)*(j*j**(-9))/j**8)**13)**2 assuming j is positive.\n' | b'j**(-338)\n' | b'Simplify (((j*j**5)/(j*j/(j/j**1)*j)*(j*j**(-9))/j**8)**13)**2 assuming j is positive.\n' | b'j**(-338)\n' | deepmind/math_dataset |
b'Let m(i) be the third derivative of i**7/1680 - i**6/45 - 49*i**5/60 - i**2 + 51. Let p(o) be the third derivative of m(o). Give p(3).\n' | b'-7\n' | b'Let m(i) be the third derivative of i**7/1680 - i**6/45 - 49*i**5/60 - i**2 + 51. Let p(o) be the third derivative of m(o). Give p(3).\n' | b'-7\n' | deepmind/math_dataset |
b'Let a = -179 - 19. Let k = 200 + a. Solve 2 = -4*z - 3*t, 3*z - k = -5*t + 2 for z.\n' | b'-2\n' | b'Let a = -179 - 19. Let k = 200 + a. Solve 2 = -4*z - 3*t, 3*z - k = -5*t + 2 for z.\n' | b'-2\n' | deepmind/math_dataset |
b'Let v(f) be the third derivative of f**9/28 + f**5/10 - 15*f**2. What is the third derivative of v(t) wrt t?\n' | b'2160*t**3\n' | b'Let v(f) be the third derivative of f**9/28 + f**5/10 - 15*f**2. What is the third derivative of v(t) wrt t?\n' | b'2160*t**3\n' | deepmind/math_dataset |
b'Simplify ((h/(h**(-22)*h*h))/(h*((h*((h*h**31)/h)/h*h)/h)/h))/(h/h**(4/5))**(-41) assuming h is positive.\n' | b'h**(-9/5)\n' | b'Simplify ((h/(h**(-22)*h*h))/(h*((h*((h*h**31)/h)/h*h)/h)/h))/(h/h**(4/5))**(-41) assuming h is positive.\n' | b'h**(-9/5)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 4, l: 1, v: 4, p: 1, y: 6}. What is prob of sequence llgl?\n' | b'0\n' | b'Four letters picked without replacement from {g: 4, l: 1, v: 4, p: 1, y: 6}. What is prob of sequence llgl?\n' | b'0\n' | deepmind/math_dataset |
b'Let c(g) = 4*g - 1. Let a(b) = -b + 1. Let h(w) = 3*a(w) + c(w). Suppose -2*m + 26 = 254*d - 257*d, -3*d - 22 = 2*m. Give h(d).\n' | b'-6\n' | b'Let c(g) = 4*g - 1. Let a(b) = -b + 1. Let h(w) = 3*a(w) + c(w). Suppose -2*m + 26 = 254*d - 257*d, -3*d - 22 = 2*m. Give h(d).\n' | b'-6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {o: 5, k: 2}. What is prob of picking 4 o?\n' | b'1/7\n' | b'Four letters picked without replacement from {o: 5, k: 2}. What is prob of picking 4 o?\n' | b'1/7\n' | deepmind/math_dataset |
b'Suppose 8*o = 2*o + 114. Solve -2*v + 0*v = -5*i, -3*i = -5*v - o for i.\n' | b'-2\n' | b'Suppose 8*o = 2*o + 114. Solve -2*v + 0*v = -5*i, -3*i = -5*v - o for i.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (o**(-1/3)*(o/(o/((o*o/(o*o**(-2/3))*o)/o)))/o)**(-9/2) assuming o is positive.\n' | b'o**(-3/2)\n' | b'Simplify (o**(-1/3)*(o/(o/((o*o/(o*o**(-2/3))*o)/o)))/o)**(-9/2) assuming o is positive.\n' | b'o**(-3/2)\n' | deepmind/math_dataset |
b'Let s(g) = -4*g - 16. Let x be s(-6). Solve -2*b - 5*a - 29 = 0, x = -5*b - a - 7 for b.\n' | b'-2\n' | b'Let s(g) = -4*g - 16. Let x be s(-6). Solve -2*b - 5*a - 29 = 0, x = -5*b - a - 7 for b.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence aah when three letters picked without replacement from zppnahhpahahhhhppapz.\n' | b'7/570\n' | b'Calculate prob of sequence aah when three letters picked without replacement from zppnahhpahahhhhppapz.\n' | b'7/570\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 3, q: 3, e: 2}. Give prob of sequence qq.\n' | b'3/28\n' | b'Two letters picked without replacement from {p: 3, q: 3, e: 2}. Give prob of sequence qq.\n' | b'3/28\n' | deepmind/math_dataset |
b'Suppose -6 = -v - 2*v. Suppose -3*b + 5*d - v = 2, -8 = -3*b - d. Let f = 3478 + -3476. Solve -4*s + b*m - 20 = 0, -s - 2*m - f = 3 for s.\n' | b'-5\n' | b'Suppose -6 = -v - 2*v. Suppose -3*b + 5*d - v = 2, -8 = -3*b - d. Let f = 3478 + -3476. Solve -4*s + b*m - 20 = 0, -s - 2*m - f = 3 for s.\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ffffffgfffgff. What is prob of picking 2 f and 1 g?\n' | b'5/13\n' | b'Three letters picked without replacement from ffffffgfffgff. What is prob of picking 2 f and 1 g?\n' | b'5/13\n' | deepmind/math_dataset |
b'Let u(l) = 2*l - 12. Let s(c) = -3*c + 24. Let q(d) = 3*s(d) + 5*u(d). Let y be q(-10). Solve -5*w - 2*o - y + 23 = 0, 0 = 2*o + 4 for w.\n' | b'5\n' | b'Let u(l) = 2*l - 12. Let s(c) = -3*c + 24. Let q(d) = 3*s(d) + 5*u(d). Let y be q(-10). Solve -5*w - 2*o - y + 23 = 0, 0 = 2*o + 4 for w.\n' | b'5\n' | deepmind/math_dataset |
b'Let d(z) be the third derivative of 0*z**6 + 0*z + 1/70*z**7 - 7*z**2 + 0 + 2*z**3 + 0*z**5 + 0*z**4. Find the first derivative of d(y) wrt y.\n' | b'12*y**3\n' | b'Let d(z) be the third derivative of 0*z**6 + 0*z + 1/70*z**7 - 7*z**2 + 0 + 2*z**3 + 0*z**5 + 0*z**4. Find the first derivative of d(y) wrt y.\n' | b'12*y**3\n' | deepmind/math_dataset |
b'What is prob of sequence uvj when three letters picked without replacement from {j: 4, v: 2, u: 3, m: 2, g: 1}?\n' | b'1/55\n' | b'What is prob of sequence uvj when three letters picked without replacement from {j: 4, v: 2, u: 3, m: 2, g: 1}?\n' | b'1/55\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 1, a: 4, v: 4, c: 1}. What is prob of sequence vc?\n' | b'2/45\n' | b'Two letters picked without replacement from {s: 1, a: 4, v: 4, c: 1}. What is prob of sequence vc?\n' | b'2/45\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 6, g: 2, u: 5}. What is prob of sequence lggl?\n' | b'1/286\n' | b'Four letters picked without replacement from {l: 6, g: 2, u: 5}. What is prob of sequence lggl?\n' | b'1/286\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 v and 1 s when three letters picked without replacement from vvsvvsvvsssss.\n' | b'105/286\n' | b'Calculate prob of picking 2 v and 1 s when three letters picked without replacement from vvsvvsvvsssss.\n' | b'105/286\n' | deepmind/math_dataset |
b'What is the first derivative of b**2 - 2 + 4*b + 2*b - 6*b wrt b?\n' | b'2*b\n' | b'What is the first derivative of b**2 - 2 + 4*b + 2*b - 6*b wrt b?\n' | b'2*b\n' | deepmind/math_dataset |
b'Simplify ((d**(2/11))**(-22))**(-21)/((d*d**(1/3))**(-13/5)/((d**(-6)/d)/d*d/(d**1/d)*d)) assuming d is positive.\n' | b'd**(1222/15)\n' | b'Simplify ((d**(2/11))**(-22))**(-21)/((d*d**(1/3))**(-13/5)/((d**(-6)/d)/d*d/(d**1/d)*d)) assuming d is positive.\n' | b'd**(1222/15)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 2, c: 1}. What is prob of sequence ff?\n' | b'1/3\n' | b'Two letters picked without replacement from {f: 2, c: 1}. What is prob of sequence ff?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let n(z) = 20*z - 18. Let g(s) = 2*s - 9. Let d(a) = a - 5. Let t(o) = 7*d(o) - 4*g(o). Let m(p) = -2*n(p) - 4*t(p). What is the first derivative of m(l) wrt l?\n' | b'-36\n' | b'Let n(z) = 20*z - 18. Let g(s) = 2*s - 9. Let d(a) = a - 5. Let t(o) = 7*d(o) - 4*g(o). Let m(p) = -2*n(p) - 4*t(p). What is the first derivative of m(l) wrt l?\n' | b'-36\n' | deepmind/math_dataset |
b'Simplify ((((q*q*q*q*q*(q**5/q)/q*q)/(q/(q*q**9)))/(q*q**(2/5)*q*q**10))**(-25))**(2/37) assuming q is positive.\n' | b'q**(-280/37)\n' | b'Simplify ((((q*q*q*q*q*(q**5/q)/q*q)/(q/(q*q**9)))/(q*q**(2/5)*q*q**10))**(-25))**(2/37) assuming q is positive.\n' | b'q**(-280/37)\n' | deepmind/math_dataset |
b'Calculate prob of sequence rf when two letters picked without replacement from {f: 1, k: 1, y: 1, r: 1, j: 1}.\n' | b'1/20\n' | b'Calculate prob of sequence rf when two letters picked without replacement from {f: 1, k: 1, y: 1, r: 1, j: 1}.\n' | b'1/20\n' | deepmind/math_dataset |
b'Calculate prob of sequence ttt when three letters picked without replacement from tiiititqtiqitttiiq.\n' | b'35/816\n' | b'Calculate prob of sequence ttt when three letters picked without replacement from tiiititqtiqitttiiq.\n' | b'35/816\n' | deepmind/math_dataset |
b'Calculate prob of sequence jk when two letters picked without replacement from {j: 7, k: 6}.\n' | b'7/26\n' | b'Calculate prob of sequence jk when two letters picked without replacement from {j: 7, k: 6}.\n' | b'7/26\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 2, g: 3, m: 4, j: 2}. Give prob of sequence mzgg.\n' | b'1/165\n' | b'Four letters picked without replacement from {z: 2, g: 3, m: 4, j: 2}. Give prob of sequence mzgg.\n' | b'1/165\n' | deepmind/math_dataset |
b'Let q = -195 - -198. Let j(v) = -48*v - 8 - q*v**2 + 44*v + 2*v**2 + 4 - 2. Calculate j(-5).\n' | b'-11\n' | b'Let q = -195 - -198. Let j(v) = -48*v - 8 - q*v**2 + 44*v + 2*v**2 + 4 - 2. Calculate j(-5).\n' | b'-11\n' | deepmind/math_dataset |
b'Let h(a) = -6*a**3 - 3*a**2 + 3*a + 4. Let t(r) = -11*r**3 - 5*r**2 + 5*r + 9. Let j(i) = 5*h(i) - 3*t(i). Find the first derivative of j(x) wrt x.\n' | b'9*x**2\n' | b'Let h(a) = -6*a**3 - 3*a**2 + 3*a + 4. Let t(r) = -11*r**3 - 5*r**2 + 5*r + 9. Let j(i) = 5*h(i) - 3*t(i). Find the first derivative of j(x) wrt x.\n' | b'9*x**2\n' | deepmind/math_dataset |
b'Suppose 4*z - 2*s - 14 = 0, 23 = 5*z - 5*s + 8*s. Solve -5*j + 27 = h, -z*h - 6 = -4*j + 6 for h.\n' | b'2\n' | b'Suppose 4*z - 2*s - 14 = 0, 23 = 5*z - 5*s + 8*s. Solve -5*j + 27 = h, -z*h - 6 = -4*j + 6 for h.\n' | b'2\n' | deepmind/math_dataset |
b'Let v(f) = -6*f**2 - 129*f + 68. Let g be v(-22). Solve -5 = -g*h + n, -h + 2 + 8 = n for h.\n' | b'5\n' | b'Let v(f) = -6*f**2 - 129*f + 68. Let g be v(-22). Solve -5 = -g*h + n, -h + 2 + 8 = n for h.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify f**(-34)*f*f/(f/((f*f**(-1)*f*f)/f))*f*(f/f**(-15/4))/(f*f/(f*f**(-20))) assuming f is positive.\n' | b'f**(-189/4)\n' | b'Simplify f**(-34)*f*f/(f/((f*f**(-1)*f*f)/f))*f*(f/f**(-15/4))/(f*f/(f*f**(-20))) assuming f is positive.\n' | b'f**(-189/4)\n' | deepmind/math_dataset |
b'Let m = 164 + -150. Solve -f - 4*l - 8 = 0, -f + m + 2 = -4*l for f.\n' | b'4\n' | b'Let m = 164 + -150. Solve -f - 4*l - 8 = 0, -f + m + 2 = -4*l for f.\n' | b'4\n' | deepmind/math_dataset |
b'Let n(u) = -u**2 + 2 - u**2 + 3*u + u**2. Let a be n(3). Solve -3*x + l = 2, -5*x = l - 0 - a for x.\n' | b'0\n' | b'Let n(u) = -u**2 + 2 - u**2 + 3*u + u**2. Let a be n(3). Solve -3*x + l = 2, -5*x = l - 0 - a for x.\n' | b'0\n' | deepmind/math_dataset |
b'Let h = 9 + -4. Find the second derivative of 3*f**h + 82*f**2 - 82*f**2 - 18*f wrt f.\n' | b'60*f**3\n' | b'Let h = 9 + -4. Find the second derivative of 3*f**h + 82*f**2 - 82*f**2 - 18*f wrt f.\n' | b'60*f**3\n' | deepmind/math_dataset |
b'Suppose -3*r - 2*i = -34 - 135, -227 = -4*r - i. Find the second derivative of 2*k**3 + 27*k**4 - 55*k - r*k + 131*k wrt k.\n' | b'324*k**2 + 12*k\n' | b'Suppose -3*r - 2*i = -34 - 135, -227 = -4*r - i. Find the second derivative of 2*k**3 + 27*k**4 - 55*k - r*k + 131*k wrt k.\n' | b'324*k**2 + 12*k\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t and 1 u when two letters picked without replacement from lddutugdtdodg.\n' | b'2/39\n' | b'Calculate prob of picking 1 t and 1 u when two letters picked without replacement from lddutugdtdodg.\n' | b'2/39\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 k and 1 n when three letters picked without replacement from {s: 2, l: 8, k: 2, t: 2, n: 2, u: 1}.\n' | b'1/340\n' | b'Calculate prob of picking 2 k and 1 n when three letters picked without replacement from {s: 2, l: 8, k: 2, t: 2, n: 2, u: 1}.\n' | b'1/340\n' | deepmind/math_dataset |
b'What is prob of sequence vb when two letters picked without replacement from {g: 4, d: 2, v: 9, b: 3}?\n' | b'3/34\n' | b'What is prob of sequence vb when two letters picked without replacement from {g: 4, d: 2, v: 9, b: 3}?\n' | b'3/34\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {k: 2, d: 6, i: 1, e: 2}. What is prob of picking 3 d and 1 k?\n' | b'4/33\n' | b'Four letters picked without replacement from {k: 2, d: 6, i: 1, e: 2}. What is prob of picking 3 d and 1 k?\n' | b'4/33\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t, 2 x, and 1 k when four letters picked without replacement from xttxkwr.\n' | b'2/35\n' | b'Calculate prob of picking 1 t, 2 x, and 1 k when four letters picked without replacement from xttxkwr.\n' | b'2/35\n' | deepmind/math_dataset |
b'Simplify (t**(-6)*t*(t*t*t**(-5)*t*t*t)/t*(t/((t*t**(1/2)*t)/t))/t*t**(-4))**(-4/25) assuming t is positive.\n' | b't**(46/25)\n' | b'Simplify (t**(-6)*t*(t*t*t**(-5)*t*t*t)/t*(t/((t*t**(1/2)*t)/t))/t*t**(-4))**(-4/25) assuming t is positive.\n' | b't**(46/25)\n' | deepmind/math_dataset |
b'Let h(n) = -n**3 + 10*n**2 - 10*n + 12. Let f be h(9). Let i(t) be the second derivative of 1/3*t**3 - 3*t + 0 + 1/2*t**2 - 1/12*t**4. What is i(f)?\n' | b'-2\n' | b'Let h(n) = -n**3 + 10*n**2 - 10*n + 12. Let f be h(9). Let i(t) be the second derivative of 1/3*t**3 - 3*t + 0 + 1/2*t**2 - 1/12*t**4. What is i(f)?\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify p**(2/3)/(p**(-4)*p)*p*p**(-1/2)*p**(-1/2)*(((p/p**(-2/5))/p)**1)**(-27) assuming p is positive.\n' | b'p**(-107/15)\n' | b'Simplify p**(2/3)/(p**(-4)*p)*p*p**(-1/2)*p**(-1/2)*(((p/p**(-2/5))/p)**1)**(-27) assuming p is positive.\n' | b'p**(-107/15)\n' | deepmind/math_dataset |
b'Let u be 2/(-6) + 76/12. Suppose 0 = 3*v + 4*s - 10 - 5, 2*s = u. Suppose -v - 3 = -g. Solve -3*c - 22 = g*b - 0*c, -5*b = -3*c + 14 for b.\n' | b'-4\n' | b'Let u be 2/(-6) + 76/12. Suppose 0 = 3*v + 4*s - 10 - 5, 2*s = u. Suppose -v - 3 = -g. Solve -3*c - 22 = g*b - 0*c, -5*b = -3*c + 14 for b.\n' | b'-4\n' | deepmind/math_dataset |
b'Let c be 2/(-2) + 51 - (-6)/6. Differentiate -36*n**4 + 1 + 51*n**3 - c*n**3 + 3 wrt n.\n' | b'-144*n**3\n' | b'Let c be 2/(-2) + 51 - (-6)/6. Differentiate -36*n**4 + 1 + 51*n**3 - c*n**3 + 3 wrt n.\n' | b'-144*n**3\n' | deepmind/math_dataset |
b'Suppose 9*i + 36 = 13*i. Differentiate 50*z**2 + 39 + 25 - 11 - i with respect to z.\n' | b'100*z\n' | b'Suppose 9*i + 36 = 13*i. Differentiate 50*z**2 + 39 + 25 - 11 - i with respect to z.\n' | b'100*z\n' | deepmind/math_dataset |
b'Let h = -4 + 6. What is the derivative of 0 + h - 2*b - 3 wrt b?\n' | b'-2\n' | b'Let h = -4 + 6. What is the derivative of 0 + h - 2*b - 3 wrt b?\n' | b'-2\n' | deepmind/math_dataset |
b'Let y(z) = -3*z + 13. Suppose -15*g - 5*r = -13*g - 21, 3 = 3*r. Give y(g).\n' | b'-11\n' | b'Let y(z) = -3*z + 13. Suppose -15*g - 5*r = -13*g - 21, 3 = 3*r. Give y(g).\n' | b'-11\n' | deepmind/math_dataset |
b'Simplify (v**(-1/4))**25*v**(-4)*v**(-8)*(v**(-4)*v*v)/v**(1/6)*(((v*v**1)/v)/v)**(34/9) assuming v is positive.\n' | b'v**(-245/12)\n' | b'Simplify (v**(-1/4))**25*v**(-4)*v**(-8)*(v**(-4)*v*v)/v**(1/6)*(((v*v**1)/v)/v)**(34/9) assuming v is positive.\n' | b'v**(-245/12)\n' | deepmind/math_dataset |
b'Let j be (-18 - -19)*(-6 - -3 - -10). Solve -j*i + 8*i - c = -7, -3*i - 6 = 2*c for i.\n' | b'-4\n' | b'Let j be (-18 - -19)*(-6 - -3 - -10). Solve -j*i + 8*i - c = -7, -3*i - 6 = 2*c for i.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of picking 1 t, 1 x, 1 r, and 1 e when four letters picked without replacement from extreeederdddeede?\n' | b'4/595\n' | b'What is prob of picking 1 t, 1 x, 1 r, and 1 e when four letters picked without replacement from extreeederdddeede?\n' | b'4/595\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 i, 1 h, and 2 o when four letters picked without replacement from gvggvhoggoigihhgnng.\n' | b'1/646\n' | b'Calculate prob of picking 1 i, 1 h, and 2 o when four letters picked without replacement from gvggvhoggoigihhgnng.\n' | b'1/646\n' | deepmind/math_dataset |
b'Suppose -3488 = 3*p - 3497. Solve 0*v = -2*m + 3*v - 23, p*v - 11 = -m for m.\n' | b'-4\n' | b'Suppose -3488 = 3*p - 3497. Solve 0*v = -2*m + 3*v - 23, p*v - 11 = -m for m.\n' | b'-4\n' | deepmind/math_dataset |
b'Let z(r) = -3*r**3 + r**2 + r. Let p be z(-1). Suppose -3*w - 66 = 5*u, u - 5*w + 2 = -0. Let a be u/(-9)*(-6)/(-4). Solve 4*c = 4*l, c + p = -a for l.\n' | b'-5\n' | b'Let z(r) = -3*r**3 + r**2 + r. Let p be z(-1). Suppose -3*w - 66 = 5*u, u - 5*w + 2 = -0. Let a be u/(-9)*(-6)/(-4). Solve 4*c = 4*l, c + p = -a for l.\n' | b'-5\n' | deepmind/math_dataset |
b'Let t be 1131/(-104) + 11 - 161/8. Let g be (10/6 - 1)/(t/(-150)). Let d(o) = o**2 + 3*o + 2. Let u be d(-4). Solve -2*q - j - 3 = 0, -u*q = -q + 5*j + g for q.\n' | b'-2\n' | b'Let t be 1131/(-104) + 11 - 161/8. Let g be (10/6 - 1)/(t/(-150)). Let d(o) = o**2 + 3*o + 2. Let u be d(-4). Solve -2*q - j - 3 = 0, -u*q = -q + 5*j + g for q.\n' | b'-2\n' | deepmind/math_dataset |
b'Let g(s) = -158 + 153 + 5*s**2 - 4*s**2 + 6*s**2 + 3*s. Let y be g(2). Let h = y - 12. Solve -4*c + h = 5*b, 0 = b - 1 - 0 for c.\n' | b'3\n' | b'Let g(s) = -158 + 153 + 5*s**2 - 4*s**2 + 6*s**2 + 3*s. Let y be g(2). Let h = y - 12. Solve -4*c + h = 5*b, 0 = b - 1 - 0 for c.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (y**25)**(-6/7)/(y**(-18)*y**(-17/5)) assuming y is positive.\n' | b'y**(-1/35)\n' | b'Simplify (y**25)**(-6/7)/(y**(-18)*y**(-17/5)) assuming y is positive.\n' | b'y**(-1/35)\n' | deepmind/math_dataset |
b'Simplify (u**(-4/5)*u**(-20))/(u**(-16/5)/(u*u**(9/4))) assuming u is positive.\n' | b'u**(-287/20)\n' | b'Simplify (u**(-4/5)*u**(-20))/(u**(-16/5)/(u*u**(9/4))) assuming u is positive.\n' | b'u**(-287/20)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b and 1 u when two letters picked without replacement from {r: 2, u: 1, b: 1}.\n' | b'1/6\n' | b'Calculate prob of picking 1 b and 1 u when two letters picked without replacement from {r: 2, u: 1, b: 1}.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let d(o) be the second derivative of 7*o**3/6 + o**2/2 - 22*o - 3. Give d(5).\n' | b'36\n' | b'Let d(o) be the second derivative of 7*o**3/6 + o**2/2 - 22*o - 3. Give d(5).\n' | b'36\n' | deepmind/math_dataset |
b'What is prob of sequence vbks when four letters picked without replacement from {s: 1, p: 1, v: 1, l: 2, k: 3, b: 3}?\n' | b'1/880\n' | b'What is prob of sequence vbks when four letters picked without replacement from {s: 1, p: 1, v: 1, l: 2, k: 3, b: 3}?\n' | b'1/880\n' | deepmind/math_dataset |
b'What is prob of sequence cc when two letters picked without replacement from iicccicccci?\n' | b'21/55\n' | b'What is prob of sequence cc when two letters picked without replacement from iicccicccci?\n' | b'21/55\n' | deepmind/math_dataset |
b'Simplify (((z**(-3/7)*z**14)/((z/((((z/(z*z*z/((z/(z*z*z/z**(2/31)))/z*z)*z*z))/z)/z)/z))/z*z/z**1))**(-2/5))**(20/3) assuming z is positive.\n' | b'z**(-8048/651)\n' | b'Simplify (((z**(-3/7)*z**14)/((z/((((z/(z*z*z/((z/(z*z*z/z**(2/31)))/z*z)*z*z))/z)/z)/z))/z*z/z**1))**(-2/5))**(20/3) assuming z is positive.\n' | b'z**(-8048/651)\n' | deepmind/math_dataset |
b'Let y(t) be the second derivative of 2*t**3/3 - 8*t**2 + 8*t. Let h be y(5). Solve -2*a + l = -14, -3*l - h = a + 3 for a.\n' | b'5\n' | b'Let y(t) be the second derivative of 2*t**3/3 - 8*t**2 + 8*t. Let h be y(5). Solve -2*a + l = -14, -3*l - h = a + 3 for a.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (c**(-3/13)*c*c**2)/(c**(-1/43)/(c*c/(c/c**(-2/73))*c)) assuming c is positive.\n' | b'c**(194449/40807)\n' | b'Simplify (c**(-3/13)*c*c**2)/(c**(-1/43)/(c*c/(c/c**(-2/73))*c)) assuming c is positive.\n' | b'c**(194449/40807)\n' | deepmind/math_dataset |
b'Suppose 9*d - 6*d - 4*v + 8 = 0, -2*v = 4*d - 26. Solve 2*k - 3*u = -2*k - 7, d*k - 2*u + 2 = 0 for k.\n' | b'2\n' | b'Suppose 9*d - 6*d - 4*v + 8 = 0, -2*v = 4*d - 26. Solve 2*k - 3*u = -2*k - 7, d*k - 2*u + 2 = 0 for k.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((v*v**(2/13))**(24/7))**(-6)*v*v**3*v*v*v**(1/6)*((v/v**(1/4))/v)/v*((v**9/v)/v)/v assuming v is positive.\n' | b'v**(-13999/1092)\n' | b'Simplify ((v*v**(2/13))**(24/7))**(-6)*v*v**3*v*v*v**(1/6)*((v/v**(1/4))/v)/v*((v**9/v)/v)/v assuming v is positive.\n' | b'v**(-13999/1092)\n' | deepmind/math_dataset |
b'Suppose -5*v + 10 = -0. Let s(f) = -1 + 2*f - 3*f**v + 8*f**3 - f**2 + 2*f**2. Let p = 8 - 7. Determine s(p).\n' | b'7\n' | b'Suppose -5*v + 10 = -0. Let s(f) = -1 + 2*f - 3*f**v + 8*f**3 - f**2 + 2*f**2. Let p = 8 - 7. Determine s(p).\n' | b'7\n' | deepmind/math_dataset |
b'What is prob of sequence cwqa when four letters picked without replacement from wewaaaeeaeqwc?\n' | b'1/1430\n' | b'What is prob of sequence cwqa when four letters picked without replacement from wewaaaeeaeqwc?\n' | b'1/1430\n' | deepmind/math_dataset |
b'Let x(p) = -4*p - 9 - 14 + 5*p + 26. Suppose 5*c + g + 3 = -0*g, 3*c + 2*g + 6 = 0. Determine x(c).\n' | b'3\n' | b'Let x(p) = -4*p - 9 - 14 + 5*p + 26. Suppose 5*c + g + 3 = -0*g, 3*c + 2*g + 6 = 0. Determine x(c).\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence iny when three letters picked without replacement from {i: 4, k: 1, n: 1, y: 4, z: 1}.\n' | b'8/495\n' | b'Calculate prob of sequence iny when three letters picked without replacement from {i: 4, k: 1, n: 1, y: 4, z: 1}.\n' | b'8/495\n' | deepmind/math_dataset |
b'Let i = 487 + -300. Let z be (-3)/(2/15 - i/165). Let r(h) = -h**3 + 4*h**2 - h - 3. Give r(z).\n' | b'3\n' | b'Let i = 487 + -300. Let z be (-3)/(2/15 - i/165). Let r(h) = -h**3 + 4*h**2 - h - 3. Give r(z).\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence ay when two letters picked without replacement from {a: 4, y: 2, u: 6}?\n' | b'2/33\n' | b'What is prob of sequence ay when two letters picked without replacement from {a: 4, y: 2, u: 6}?\n' | b'2/33\n' | deepmind/math_dataset |
b'Find the second derivative of -199*m - 190*m + 43*m + 1 - 575*m**4 - 295*m + m**2 + 22*m wrt m.\n' | b'-6900*m**2 + 2\n' | b'Find the second derivative of -199*m - 190*m + 43*m + 1 - 575*m**4 - 295*m + m**2 + 22*m wrt m.\n' | b'-6900*m**2 + 2\n' | deepmind/math_dataset |
b'Simplify (z/(z*((z/z**(1/40))/z)/z*z)*z)/z**(3/17) assuming z is positive.\n' | b'z**(577/680)\n' | b'Simplify (z/(z*((z/z**(1/40))/z)/z*z)*z)/z**(3/17) assuming z is positive.\n' | b'z**(577/680)\n' | deepmind/math_dataset |
b'What is prob of picking 2 h when two letters picked without replacement from heeeteeeeththt?\n' | b'3/91\n' | b'What is prob of picking 2 h when two letters picked without replacement from heeeteeeeththt?\n' | b'3/91\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 8, f: 3}. What is prob of sequence fgfg?\n' | b'7/165\n' | b'Four letters picked without replacement from {g: 8, f: 3}. What is prob of sequence fgfg?\n' | b'7/165\n' | deepmind/math_dataset |
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