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 g(j) = -j**3 + 6*j**2 + 18*j - 9. Let q be g(8). Solve -4*n = 5*d + 27 - q, -5*d + 5 = -n for n.\n' | b'-5\n' | b'Let g(j) = -j**3 + 6*j**2 + 18*j - 9. Let q be g(8). Solve -4*n = 5*d + 27 - q, -5*d + 5 = -n for n.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of sequence rx when two letters picked without replacement from rrxrrrrr?\n' | b'1/8\n' | b'What is prob of sequence rx when two letters picked without replacement from rrxrrrrr?\n' | b'1/8\n' | deepmind/math_dataset |
b'Let q(t) = -t + 7. Let w = 40 + -35. Calculate q(w).\n' | b'2\n' | b'Let q(t) = -t + 7. Let w = 40 + -35. Calculate q(w).\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -195*g - r + 45 = -191*g, 0 = 2*g + 5*r - 45. Solve 4*n = a - 7, -g = -5*a + 2*n + 7 for a.\n' | b'3\n' | b'Suppose -195*g - r + 45 = -191*g, 0 = 2*g + 5*r - 45. Solve 4*n = a - 7, -g = -5*a + 2*n + 7 for a.\n' | b'3\n' | deepmind/math_dataset |
b'Let j(v) be the first derivative of -v**6/15 - v**5/15 + v**2 + 2. Let i(n) be the second derivative of j(n). What is the third derivative of i(l) wrt l?\n' | b'-48\n' | b'Let j(v) be the first derivative of -v**6/15 - v**5/15 + v**2 + 2. Let i(n) be the second derivative of j(n). What is the third derivative of i(l) wrt l?\n' | b'-48\n' | deepmind/math_dataset |
b'What is prob of picking 2 k and 1 x when three letters picked without replacement from kxxkx?\n' | b'3/10\n' | b'What is prob of picking 2 k and 1 x when three letters picked without replacement from kxxkx?\n' | b'3/10\n' | deepmind/math_dataset |
b'Let i(n) be the first derivative of -n**2/2 + 15*n + 196. Suppose -3*v - v = -44. Give i(v).\n' | b'4\n' | b'Let i(n) be the first derivative of -n**2/2 + 15*n + 196. Suppose -3*v - v = -44. Give i(v).\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 y and 1 h when two letters picked without replacement from hyeshyyhhhyhyyy.\n' | b'2/5\n' | b'Calculate prob of picking 1 y and 1 h when two letters picked without replacement from hyeshyyhhhyhyyy.\n' | b'2/5\n' | deepmind/math_dataset |
b'Suppose 3*z = 5*z. Let q(l) = -5*l + 6*l + l**2 + 3*l. Let h be q(-8). Solve 0 = -3*x + i - z - 16, 4*x + h = 4*i for x.\n' | b'-4\n' | b'Suppose 3*z = 5*z. Let q(l) = -5*l + 6*l + l**2 + 3*l. Let h be q(-8). Solve 0 = -3*x + i - z - 16, 4*x + h = 4*i for x.\n' | b'-4\n' | deepmind/math_dataset |
b'Let c be (-162)/(-90) - (-4)/20. Suppose 5*h + 2 = 2*m + 7, -4*h = 3*m - 4. Let n = 9 - 5. Solve -y - c*o + 5*o - 3 = m, -n*o = -y - 5 for y.\n' | b'3\n' | b'Let c be (-162)/(-90) - (-4)/20. Suppose 5*h + 2 = 2*m + 7, -4*h = 3*m - 4. Let n = 9 - 5. Solve -y - c*o + 5*o - 3 = m, -n*o = -y - 5 for y.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 r and 1 a when three letters picked without replacement from adarrrrdrrdar.\n' | b'63/286\n' | b'Calculate prob of picking 2 r and 1 a when three letters picked without replacement from adarrrrdrrdar.\n' | b'63/286\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 1 a when two letters picked without replacement from annonlunu?\n' | b'1/18\n' | b'What is prob of picking 1 u and 1 a when two letters picked without replacement from annonlunu?\n' | b'1/18\n' | deepmind/math_dataset |
b'Suppose -3*o - 4 = 2*f, -4*o = -5*f - 2*o + 28. Let k = 22 - 16. Suppose -k = -f*j + 2. Solve u + 3*h - 1 = -3, -h - 10 = -j*u for u.\n' | b'4\n' | b'Suppose -3*o - 4 = 2*f, -4*o = -5*f - 2*o + 28. Let k = 22 - 16. Suppose -k = -f*j + 2. Solve u + 3*h - 1 = -3, -h - 10 = -j*u for u.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 3, o: 3, t: 13}. What is prob of sequence oo?\n' | b'1/57\n' | b'Two letters picked without replacement from {x: 3, o: 3, t: 13}. What is prob of sequence oo?\n' | b'1/57\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 5, p: 1, y: 2, z: 10, n: 2}. What is prob of sequence pzaz?\n' | b'5/1292\n' | b'Four letters picked without replacement from {a: 5, p: 1, y: 2, z: 10, n: 2}. What is prob of sequence pzaz?\n' | b'5/1292\n' | deepmind/math_dataset |
b'Calculate prob of sequence vj when two letters picked without replacement from vvvjvvvvvjvvjv.\n' | b'33/182\n' | b'Calculate prob of sequence vj when two letters picked without replacement from vvvjvvvvvjvvjv.\n' | b'33/182\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 3, n: 2, e: 7, f: 7}. What is prob of sequence fue?\n' | b'49/1938\n' | b'Three letters picked without replacement from {u: 3, n: 2, e: 7, f: 7}. What is prob of sequence fue?\n' | b'49/1938\n' | deepmind/math_dataset |
b'Simplify (r*r**(-6)*r)/r**2*r**(2/5)*r*r/r**18 assuming r is positive.\n' | b'r**(-108/5)\n' | b'Simplify (r*r**(-6)*r)/r**2*r**(2/5)*r*r/r**18 assuming r is positive.\n' | b'r**(-108/5)\n' | deepmind/math_dataset |
b'Simplify w/(w/(w/w**(3/2)))*w**(14/5)*(w**(3/4)*w)**(-2/103) assuming w is positive.\n' | b'w**(1167/515)\n' | b'Simplify w/(w/(w/w**(3/2)))*w**(14/5)*(w**(3/4)*w)**(-2/103) assuming w is positive.\n' | b'w**(1167/515)\n' | deepmind/math_dataset |
b'Simplify (h**0/h)**(9/11)*h**(-2/25)*h*h/((h*(h/(((h**(-1)/h)/h)/h*h)*h*h)/h)/h) assuming h is positive.\n' | b'h**(-1072/275)\n' | b'Simplify (h**0/h)**(9/11)*h**(-2/25)*h*h/((h*(h/(((h**(-1)/h)/h)/h*h)*h*h)/h)/h) assuming h is positive.\n' | b'h**(-1072/275)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 1, b: 1, u: 1, y: 1, o: 1}. What is prob of picking 1 o and 1 d?\n' | b'1/10\n' | b'Two letters picked without replacement from {d: 1, b: 1, u: 1, y: 1, o: 1}. What is prob of picking 1 o and 1 d?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let b(h) = -h**2 + h - 18. Let s(d) be the first derivative of d**4/4 + 8*d**3/3 + 9*d**2/2 + 14*d - 72. Let x be s(-7). Give b(x).\n' | b'-18\n' | b'Let b(h) = -h**2 + h - 18. Let s(d) be the first derivative of d**4/4 + 8*d**3/3 + 9*d**2/2 + 14*d - 72. Let x be s(-7). Give b(x).\n' | b'-18\n' | deepmind/math_dataset |
b'Let z(t) = t**2 + 8*t + 20. Let w be z(-10). Suppose 4*h = -4*h + w. Solve 0*u - 21 = -4*s + u, -4*s + 15 = h*u for s.\n' | b'5\n' | b'Let z(t) = t**2 + 8*t + 20. Let w be z(-10). Suppose 4*h = -4*h + w. Solve 0*u - 21 = -4*s + u, -4*s + 15 = h*u for s.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of picking 1 t and 1 j when two letters picked without replacement from tttttttjtj?\n' | b'16/45\n' | b'What is prob of picking 1 t and 1 j when two letters picked without replacement from tttttttjtj?\n' | b'16/45\n' | deepmind/math_dataset |
b'Let q(o) = o**3 + 2*o**2 - 3*o. Let r(i) be the third derivative of -i**5/60 - i**4/24 - i**3/2 + 2*i**2. Let j be r(0). Calculate q(j).\n' | b'0\n' | b'Let q(o) = o**3 + 2*o**2 - 3*o. Let r(i) be the third derivative of -i**5/60 - i**4/24 - i**3/2 + 2*i**2. Let j be r(0). Calculate q(j).\n' | b'0\n' | deepmind/math_dataset |
b'Let d be (-8)/(-18)*(-9)/(-6). Let x(j) be the first derivative of 0*j**2 - j - 1 + d*j**3. What is the derivative of x(v) wrt v?\n' | b'4*v\n' | b'Let d be (-8)/(-18)*(-9)/(-6). Let x(j) be the first derivative of 0*j**2 - j - 1 + d*j**3. What is the derivative of x(v) wrt v?\n' | b'4*v\n' | deepmind/math_dataset |
b'Simplify ((d*d*d**(-1/8)/d*d*d**0)**3)**(-17) assuming d is positive.\n' | b'd**(-765/8)\n' | b'Simplify ((d*d*d**(-1/8)/d*d*d**0)**3)**(-17) assuming d is positive.\n' | b'd**(-765/8)\n' | deepmind/math_dataset |
b'What is prob of sequence zzzt when four letters picked without replacement from {z: 4, t: 2}?\n' | b'2/15\n' | b'What is prob of sequence zzzt when four letters picked without replacement from {z: 4, t: 2}?\n' | b'2/15\n' | deepmind/math_dataset |
b'Simplify ((z**(-4/5))**(10/13)/(((z*z**(-5)/z*z)/z)/(z/z**(3/4)*z)))**46 assuming z is positive.\n' | b'z**(6739/26)\n' | b'Simplify ((z**(-4/5))**(10/13)/(((z*z**(-5)/z*z)/z)/(z/z**(3/4)*z)))**46 assuming z is positive.\n' | b'z**(6739/26)\n' | deepmind/math_dataset |
b'Let x be 1/(-4) + 50/8. Suppose 0*i = 2*i - x. What is the third derivative of n**3 - n**2 - i*n**3 + 0*n**2 + 2*n**2 wrt n?\n' | b'-12\n' | b'Let x be 1/(-4) + 50/8. Suppose 0*i = 2*i - x. What is the third derivative of n**3 - n**2 - i*n**3 + 0*n**2 + 2*n**2 wrt n?\n' | b'-12\n' | deepmind/math_dataset |
b'Simplify ((b**(2/15)/b)/(b*b/((b**(2/11)/b)/b)*b))**(1/5)/(((b/(b**(-2/7)/b))/b)/(b*b**(-4))*(b**1/b)**(-9)) assuming b is positive.\n' | b'b**(-31316/5775)\n' | b'Simplify ((b**(2/15)/b)/(b*b/((b**(2/11)/b)/b)*b))**(1/5)/(((b/(b**(-2/7)/b))/b)/(b*b**(-4))*(b**1/b)**(-9)) assuming b is positive.\n' | b'b**(-31316/5775)\n' | deepmind/math_dataset |
b'What is prob of picking 3 f and 1 n when four letters picked without replacement from aaaaafcanfaaaaf?\n' | b'1/1365\n' | b'What is prob of picking 3 f and 1 n when four letters picked without replacement from aaaaafcanfaaaaf?\n' | b'1/1365\n' | deepmind/math_dataset |
b'Let w be (0 + (2 - 4))*(-9)/6. Solve 8*m = 4*m + w*d + 35, d + 15 = 2*m for m.\n' | b'5\n' | b'Let w be (0 + (2 - 4))*(-9)/6. Solve 8*m = 4*m + w*d + 35, d + 15 = 2*m for m.\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 7, k: 3, z: 4}. What is prob of sequence kzz?\n' | b'3/182\n' | b'Three letters picked without replacement from {e: 7, k: 3, z: 4}. What is prob of sequence kzz?\n' | b'3/182\n' | deepmind/math_dataset |
b'Let h(r) = r**2 - 7*r - 15. Let i be h(-2). Solve -a - 6*z = -i*z + 6, 9 = -3*z for a.\n' | b'3\n' | b'Let h(r) = r**2 - 7*r - 15. Let i be h(-2). Solve -a - 6*z = -i*z + 6, 9 = -3*z for a.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 4, w: 2, f: 1, i: 2}. What is prob of sequence fmm?\n' | b'1/42\n' | b'Three letters picked without replacement from {m: 4, w: 2, f: 1, i: 2}. What is prob of sequence fmm?\n' | b'1/42\n' | deepmind/math_dataset |
b'Calculate prob of sequence tt when two letters picked without replacement from jjjjtjtjjjtjjj.\n' | b'3/91\n' | b'Calculate prob of sequence tt when two letters picked without replacement from jjjjtjtjjjtjjj.\n' | b'3/91\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 1, e: 1, y: 2}. Give prob of picking 3 y and 1 e.\n' | b'0\n' | b'Four letters picked without replacement from {f: 1, e: 1, y: 2}. Give prob of picking 3 y and 1 e.\n' | b'0\n' | deepmind/math_dataset |
b'Let d be (-21)/(-28)*10/3*2. Solve -6*c = d*b - 2*c - 31, 2*b + 5*c - 26 = 0 for b.\n' | b'3\n' | b'Let d be (-21)/(-28)*10/3*2. Solve -6*c = d*b - 2*c - 31, 2*b + 5*c - 26 = 0 for b.\n' | b'3\n' | deepmind/math_dataset |
b'Let c = 66 - 26. Suppose -3*o = o - c. Solve 0 = 2*l + 5*i + o, -4*l = i + 12 + 8 for l.\n' | b'-5\n' | b'Let c = 66 - 26. Suppose -3*o = o - c. Solve 0 = 2*l + 5*i + o, -4*l = i + 12 + 8 for l.\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 6, o: 3, e: 6}. What is prob of picking 1 o and 1 e?\n' | b'6/35\n' | b'Two letters picked without replacement from {r: 6, o: 3, e: 6}. What is prob of picking 1 o and 1 e?\n' | b'6/35\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 3, s: 5, j: 1, q: 5, c: 5}. What is prob of sequence iqqj?\n' | b'5/7752\n' | b'Four letters picked without replacement from {i: 3, s: 5, j: 1, q: 5, c: 5}. What is prob of sequence iqqj?\n' | b'5/7752\n' | deepmind/math_dataset |
b'Simplify (y**(2/47))**(-21/8) assuming y is positive.\n' | b'y**(-21/188)\n' | b'Simplify (y**(2/47))**(-21/8) assuming y is positive.\n' | b'y**(-21/188)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mcmcvmm. What is prob of picking 2 m?\n' | b'2/7\n' | b'Two letters picked without replacement from mcmcvmm. What is prob of picking 2 m?\n' | b'2/7\n' | deepmind/math_dataset |
b'Let a = 11 + -7. Suppose 6*k - 4*k = a. What is the first derivative of -q - 4 - 4*q + k*q + 0*q wrt q?\n' | b'-3\n' | b'Let a = 11 + -7. Suppose 6*k - 4*k = a. What is the first derivative of -q - 4 - 4*q + k*q + 0*q wrt q?\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose d = 2 + 4. Let n(s) = s**3 - 5*s**2 - 9*s + 9. Give n(d).\n' | b'-9\n' | b'Suppose d = 2 + 4. Let n(s) = s**3 - 5*s**2 - 9*s + 9. Give n(d).\n' | b'-9\n' | deepmind/math_dataset |
b'Let y = 16 - 9. Let t = y + 0. What is the second derivative of -t*b**2 - 2*b**2 - b + 6*b**2 wrt b?\n' | b'-6\n' | b'Let y = 16 - 9. Let t = y + 0. What is the second derivative of -t*b**2 - 2*b**2 - b + 6*b**2 wrt b?\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (((q/q**(5/2))/(q**(2/39)/q))**(5/3))**(-6) assuming q is positive.\n' | b'q**(215/39)\n' | b'Simplify (((q/q**(5/2))/(q**(2/39)/q))**(5/3))**(-6) assuming q is positive.\n' | b'q**(215/39)\n' | deepmind/math_dataset |
b'Simplify ((f/((f/(f/(f*(f/((f*f**(-1/3))/f*f))/f)))/f))**25)**(-3/14)/((f**(-1/6)*f*f**(2/5))/(f/f**(2/9))**(-7/12)) assuming f is positive.\n' | b'f**(-40127/3780)\n' | b'Simplify ((f/((f/(f/(f*(f/((f*f**(-1/3))/f*f))/f)))/f))**25)**(-3/14)/((f**(-1/6)*f*f**(2/5))/(f/f**(2/9))**(-7/12)) assuming f is positive.\n' | b'f**(-40127/3780)\n' | deepmind/math_dataset |
b'Simplify (a/((a*a/((a*a**22)/a))/a))/a**(23/5) assuming a is positive.\n' | b'a**(87/5)\n' | b'Simplify (a/((a*a/((a*a**22)/a))/a))/a**(23/5) assuming a is positive.\n' | b'a**(87/5)\n' | deepmind/math_dataset |
b'Suppose 5*n - 18 = 2. Let k(v) = n*v**2 + 6*v**2 - v**3 - 4*v**2 + 5 - 6*v + v. Let i be k(5). Solve 0 = -3*x + i*o - 22, -6 = -4*x - 2*o + 8 for x.\n' | b'1\n' | b'Suppose 5*n - 18 = 2. Let k(v) = n*v**2 + 6*v**2 - v**3 - 4*v**2 + 5 - 6*v + v. Let i be k(5). Solve 0 = -3*x + i*o - 22, -6 = -4*x - 2*o + 8 for x.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 1 o when two letters picked without replacement from {i: 2, l: 4, c: 1, o: 3, e: 2, q: 2}?\n' | b'6/91\n' | b'What is prob of picking 1 e and 1 o when two letters picked without replacement from {i: 2, l: 4, c: 1, o: 3, e: 2, q: 2}?\n' | b'6/91\n' | deepmind/math_dataset |
b'Let v(n) = -n**3 - 17*n**2 + n + 22. Let t be v(-17). Suppose -c + 66 = -4*c. Let o = -17 - c. Solve 2*q = 4*q + t*m - 16, -o*m = q - 18 for q.\n' | b'-2\n' | b'Let v(n) = -n**3 - 17*n**2 + n + 22. Let t be v(-17). Suppose -c + 66 = -4*c. Let o = -17 - c. Solve 2*q = 4*q + t*m - 16, -o*m = q - 18 for q.\n' | b'-2\n' | deepmind/math_dataset |
b'Let j(n) = -5*n + 42. Let f be j(6). Suppose f*r - 64 = -4*r. Let m(b) = -b**2 + 4*b + 4. Calculate m(r).\n' | b'4\n' | b'Let j(n) = -5*n + 42. Let f be j(6). Suppose f*r - 64 = -4*r. Let m(b) = -b**2 + 4*b + 4. Calculate m(r).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((x**(-1)*x)**(-19))**9*(x/((x/x**0*x)/x))**(-15/8)*x/(x*x**(-4/9)*x)*x/x**(-5/4) assuming x is positive.\n' | b'x**(61/36)\n' | b'Simplify ((x**(-1)*x)**(-19))**9*(x/((x/x**0*x)/x))**(-15/8)*x/(x*x**(-4/9)*x)*x/x**(-5/4) assuming x is positive.\n' | b'x**(61/36)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 1, j: 1, p: 1, c: 1, e: 1}. What is prob of sequence pje?\n' | b'1/60\n' | b'Three letters picked without replacement from {t: 1, j: 1, p: 1, c: 1, e: 1}. What is prob of sequence pje?\n' | b'1/60\n' | deepmind/math_dataset |
b'Let s(r) = 2*r**3 - 5*r**2 + 90*r + 865. Let g(o) = o**3 - o**2 + o - 3. Let y(w) = -5*g(w) + s(w). Find the first derivative of y(u) wrt u.\n' | b'-9*u**2 + 85\n' | b'Let s(r) = 2*r**3 - 5*r**2 + 90*r + 865. Let g(o) = o**3 - o**2 + o - 3. Let y(w) = -5*g(w) + s(w). Find the first derivative of y(u) wrt u.\n' | b'-9*u**2 + 85\n' | deepmind/math_dataset |
b'Let d = -4 - 6. Let y = 12 + d. Solve -2*i + 2*p + y = 0, 3*i = -i + p + 16 for i.\n' | b'5\n' | b'Let d = -4 - 6. Let y = 12 + d. Solve -2*i + 2*p + y = 0, 3*i = -i + p + 16 for i.\n' | b'5\n' | deepmind/math_dataset |
b'Let s(x) = -2*x**3 + 5*x + 58. Let t(i) = i**3 - 2*i + 1. Let g be 2/(50/15 + -4) - -2. Let p(n) = g*s(n) + t(n). Differentiate p(v) wrt v.\n' | b'9*v**2 - 7\n' | b'Let s(x) = -2*x**3 + 5*x + 58. Let t(i) = i**3 - 2*i + 1. Let g be 2/(50/15 + -4) - -2. Let p(n) = g*s(n) + t(n). Differentiate p(v) wrt v.\n' | b'9*v**2 - 7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 8, w: 2, x: 1, g: 4}. Give prob of sequence gx.\n' | b'2/105\n' | b'Two letters picked without replacement from {r: 8, w: 2, x: 1, g: 4}. Give prob of sequence gx.\n' | b'2/105\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 x and 1 f when four letters picked without replacement from fxxxfxxxxxfx.\n' | b'28/55\n' | b'Calculate prob of picking 3 x and 1 f when four letters picked without replacement from fxxxfxxxxxfx.\n' | b'28/55\n' | deepmind/math_dataset |
b'What is prob of sequence uk when two letters picked without replacement from {u: 10, k: 9}?\n' | b'5/19\n' | b'What is prob of sequence uk when two letters picked without replacement from {u: 10, k: 9}?\n' | b'5/19\n' | deepmind/math_dataset |
b'Let a be ((-40)/6)/2*-3. Let y be (-40)/4*2/(-4). Suppose 3*v + q = 11, y*q + 13 + 0 = 2*v. Solve -i - v*j - 6 = 9, 3*j = -2*i - a for i.\n' | b'1\n' | b'Let a be ((-40)/6)/2*-3. Let y be (-40)/4*2/(-4). Suppose 3*v + q = 11, y*q + 13 + 0 = 2*v. Solve -i - v*j - 6 = 9, 3*j = -2*i - a for i.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -5 - 5 = -5*h. Let q be ((-1)/h)/(2/8). Let m(a) = a**3 + 4*a**2 - a - 1. What is m(q)?\n' | b'9\n' | b'Suppose -5 - 5 = -5*h. Let q be ((-1)/h)/(2/8). Let m(a) = a**3 + 4*a**2 - a - 1. What is m(q)?\n' | b'9\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ntbethbve. What is prob of sequence ebv?\n' | b'1/126\n' | b'Three letters picked without replacement from ntbethbve. What is prob of sequence ebv?\n' | b'1/126\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 2, q: 1, h: 2, a: 1, x: 2}. Give prob of sequence qf.\n' | b'1/28\n' | b'Two letters picked without replacement from {f: 2, q: 1, h: 2, a: 1, x: 2}. Give prob of sequence qf.\n' | b'1/28\n' | deepmind/math_dataset |
b'Simplify (n/(n/n**(-7))*n*((n*n*n/((n/((n/(n/(n**(-5/4)/n*n)*n))/n))/n))/n)/n)**(4/9)*((n*n*n*n/n**(5/3)*n)/n**5)**(1/5) assuming n is positive.\n' | b'n**(-4)\n' | b'Simplify (n/(n/n**(-7))*n*((n*n*n/((n/((n/(n/(n**(-5/4)/n*n)*n))/n))/n))/n)/n)**(4/9)*((n*n*n*n/n**(5/3)*n)/n**5)**(1/5) assuming n is positive.\n' | b'n**(-4)\n' | deepmind/math_dataset |
b'Simplify ((g**6*(g*g**(8/3))/g)/(g**(-1/6)*g*g*g/g**(-5/4)))**39 assuming g is positive.\n' | b'g**(715/4)\n' | b'Simplify ((g**6*(g*g**(8/3))/g)/(g**(-1/6)*g*g*g/g**(-5/4)))**39 assuming g is positive.\n' | b'g**(715/4)\n' | deepmind/math_dataset |
b'Suppose -6*n + 9 = -5*n. Let m(q) = 2*q**3 - 16*q**2 - 20*q + 17. Determine m(n).\n' | b'-1\n' | b'Suppose -6*n + 9 = -5*n. Let m(q) = 2*q**3 - 16*q**2 - 20*q + 17. Determine m(n).\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from buryb. Give prob of sequence ybr.\n' | b'1/30\n' | b'Three letters picked without replacement from buryb. Give prob of sequence ybr.\n' | b'1/30\n' | deepmind/math_dataset |
b'Suppose -7*b + 2*b + 15 = 0. Let k(m) = -4*m + 7. Let x(r) = 5*r - 7. Let y(t) = b*x(t) + 4*k(t). Calculate y(0).\n' | b'7\n' | b'Suppose -7*b + 2*b + 15 = 0. Let k(m) = -4*m + 7. Let x(r) = 5*r - 7. Let y(t) = b*x(t) + 4*k(t). Calculate y(0).\n' | b'7\n' | deepmind/math_dataset |
b'Calculate prob of sequence ddi when three letters picked without replacement from diidiiidiiiiiiiiii.\n' | b'5/272\n' | b'Calculate prob of sequence ddi when three letters picked without replacement from diidiiidiiiiiiiiii.\n' | b'5/272\n' | deepmind/math_dataset |
b'Find the second derivative of -8 + 26 + 332*v**3 - 160*v + 190*v + 17 + 805*v**3 wrt v.\n' | b'6822*v\n' | b'Find the second derivative of -8 + 26 + 332*v**3 - 160*v + 190*v + 17 + 805*v**3 wrt v.\n' | b'6822*v\n' | deepmind/math_dataset |
b'Simplify (i**1)**(-33)/(i**3/(i/(i*i**(-1/6)*i))) assuming i is positive.\n' | b'i**(-221/6)\n' | b'Simplify (i**1)**(-33)/(i**3/(i/(i*i**(-1/6)*i))) assuming i is positive.\n' | b'i**(-221/6)\n' | deepmind/math_dataset |
b'What is the third derivative of -18*i**2 + 34*i**3 - 18*i**6 + i**6 - 34*i**3 wrt i?\n' | b'-2040*i**3\n' | b'What is the third derivative of -18*i**2 + 34*i**3 - 18*i**6 + i**6 - 34*i**3 wrt i?\n' | b'-2040*i**3\n' | deepmind/math_dataset |
b'What is prob of sequence nn when two letters picked without replacement from {v: 3, n: 5}?\n' | b'5/14\n' | b'What is prob of sequence nn when two letters picked without replacement from {v: 3, n: 5}?\n' | b'5/14\n' | deepmind/math_dataset |
b'Let p(c) = 11 + 0*c**2 + 72 + c**2 - 70 + 7*c. Determine p(-5).\n' | b'3\n' | b'Let p(c) = 11 + 0*c**2 + 72 + c**2 - 70 + 7*c. Determine p(-5).\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of picking 1 q, 1 g, and 1 p when three letters picked without replacement from {b: 1, g: 1, k: 5, p: 3, q: 1}?\n' | b'1/55\n' | b'What is prob of picking 1 q, 1 g, and 1 p when three letters picked without replacement from {b: 1, g: 1, k: 5, p: 3, q: 1}?\n' | b'1/55\n' | deepmind/math_dataset |
b'What is prob of sequence ccpb when four letters picked without replacement from llcclcppbp?\n' | b'1/280\n' | b'What is prob of sequence ccpb when four letters picked without replacement from llcclcppbp?\n' | b'1/280\n' | deepmind/math_dataset |
b'Four letters picked without replacement from rhhhhphphhhhrrpvrrr. What is prob of sequence vrhr?\n' | b'15/5168\n' | b'Four letters picked without replacement from rhhhhphphhhhrrpvrrr. What is prob of sequence vrhr?\n' | b'15/5168\n' | deepmind/math_dataset |
b'Let b(y) be the first derivative of y**2 - 5 + 0*y**2 - 4*y + 4 - 6. Give b(3).\n' | b'2\n' | b'Let b(y) be the first derivative of y**2 - 5 + 0*y**2 - 4*y + 4 - 6. Give b(3).\n' | b'2\n' | deepmind/math_dataset |
b'Let z(m) = m**2 - 3*m - 8. Let c be z(5). What is the third derivative of -5*y**5 - 12*y**2 - 3*y**5 - y**5 + 2*y**c wrt y?\n' | b'-540*y**2\n' | b'Let z(m) = m**2 - 3*m - 8. Let c be z(5). What is the third derivative of -5*y**5 - 12*y**2 - 3*y**5 - y**5 + 2*y**c wrt y?\n' | b'-540*y**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zccccchcwcchiihfcw. What is prob of sequence fz?\n' | b'1/306\n' | b'Two letters picked without replacement from zccccchcwcchiihfcw. What is prob of sequence fz?\n' | b'1/306\n' | deepmind/math_dataset |
b'Let m(q) = q - 1. Suppose 0 = 3*l - 2*l + 15. Let s(x) be the third derivative of -x**4/24 - 5*x**3/3 + 16*x**2. Let a be s(l). Give m(a).\n' | b'4\n' | b'Let m(q) = q - 1. Suppose 0 = 3*l - 2*l + 15. Let s(x) be the third derivative of -x**4/24 - 5*x**3/3 + 16*x**2. Let a be s(l). Give m(a).\n' | b'4\n' | deepmind/math_dataset |
b'Let h = 835 + -839. Suppose 1 = -2*a - x - 2, -4*a - 13 = -5*x. Let m(w) = -w**2 - 9*w - 5. Let n(z) = z. Let l(c) = a*n(c) - m(c). Determine l(h).\n' | b'-7\n' | b'Let h = 835 + -839. Suppose 1 = -2*a - x - 2, -4*a - 13 = -5*x. Let m(w) = -w**2 - 9*w - 5. Let n(z) = z. Let l(c) = a*n(c) - m(c). Determine l(h).\n' | b'-7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 1, r: 1, a: 4, v: 6, m: 4}. What is prob of sequence vsm?\n' | b'1/140\n' | b'Three letters picked without replacement from {s: 1, r: 1, a: 4, v: 6, m: 4}. What is prob of sequence vsm?\n' | b'1/140\n' | deepmind/math_dataset |
b'Let v(i) = 2*i**2 - i - 1. Suppose 14 = -n + 3*n. Let q = n - 5. Determine v(q).\n' | b'5\n' | b'Let v(i) = 2*i**2 - i - 1. Suppose 14 = -n + 3*n. Let q = n - 5. Determine v(q).\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 0*l = 21*l - 1092. Find the third derivative of 121*a - 2*a**2 + 92*a - 237*a - 234*a**3 + 59*a + l*a wrt a.\n' | b'-1404\n' | b'Suppose 0*l = 21*l - 1092. Find the third derivative of 121*a - 2*a**2 + 92*a - 237*a - 234*a**3 + 59*a + l*a wrt a.\n' | b'-1404\n' | deepmind/math_dataset |
b'Let h(z) be the first derivative of z**7/840 + z**6/120 - z**5/120 + z**4/8 - z**3/3 - 3. Let b(i) be the third derivative of h(i). Let m = 5 + -9. Give b(m).\n' | b'-9\n' | b'Let h(z) be the first derivative of z**7/840 + z**6/120 - z**5/120 + z**4/8 - z**3/3 - 3. Let b(i) be the third derivative of h(i). Let m = 5 + -9. Give b(m).\n' | b'-9\n' | deepmind/math_dataset |
b'Let s(k) be the third derivative of 25/8*k**4 + 217/60*k**5 - 50*k**2 + 0 + 0*k + 0*k**3. What is the second derivative of s(i) wrt i?\n' | b'434\n' | b'Let s(k) be the third derivative of 25/8*k**4 + 217/60*k**5 - 50*k**2 + 0 + 0*k + 0*k**3. What is the second derivative of s(i) wrt i?\n' | b'434\n' | deepmind/math_dataset |
b'Suppose 15 = a + 4*a. Let i be ((-3)/5 + 1)*5. Let u = 9 - i. Solve 4*l - 3*p - 35 = 0, -a*l - u*p + 2*p = 10 for l.\n' | b'5\n' | b'Suppose 15 = a + 4*a. Let i be ((-3)/5 + 1)*5. Let u = 9 - i. Solve 4*l - 3*p - 35 = 0, -a*l - u*p + 2*p = 10 for l.\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 1, u: 2, r: 1, l: 4}. What is prob of picking 1 w and 1 r?\n' | b'1/28\n' | b'Two letters picked without replacement from {w: 1, u: 2, r: 1, l: 4}. What is prob of picking 1 w and 1 r?\n' | b'1/28\n' | deepmind/math_dataset |
b'What is prob of picking 2 r and 1 f when three letters picked without replacement from ffuuufsrfrfuufuruu?\n' | b'3/136\n' | b'What is prob of picking 2 r and 1 f when three letters picked without replacement from ffuuufsrfrfuufuruu?\n' | b'3/136\n' | deepmind/math_dataset |
b'Let c(l) = -10*l + 69. Let u(y) = 2*y. Let h(w) = 2*c(w) + 6*u(w). What is the derivative of h(b) wrt b?\n' | b'-8\n' | b'Let c(l) = -10*l + 69. Let u(y) = 2*y. Let h(w) = 2*c(w) + 6*u(w). What is the derivative of h(b) wrt b?\n' | b'-8\n' | deepmind/math_dataset |
b'Four letters picked without replacement from yfdyyybbayadabaybyaa. Give prob of sequence aybd.\n' | b'14/4845\n' | b'Four letters picked without replacement from yfdyyybbayadabaybyaa. Give prob of sequence aybd.\n' | b'14/4845\n' | deepmind/math_dataset |
b'Let h(z) be the third derivative of -z**4/8 + 2*z**3/3 + 4*z**2. Suppose 3*n = 7*n - 16. Suppose -n*d + 6 = -2*d. What is h(d)?\n' | b'-5\n' | b'Let h(z) be the third derivative of -z**4/8 + 2*z**3/3 + 4*z**2. Suppose 3*n = 7*n - 16. Suppose -n*d + 6 = -2*d. What is h(d)?\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 8*r + 426 = 458. What is the third derivative of -243*t**4 - 70*t**4 + 21*t**r + 5477*t**2 - 5773*t**2 wrt t?\n' | b'-7008*t\n' | b'Suppose 8*r + 426 = 458. What is the third derivative of -243*t**4 - 70*t**4 + 21*t**r + 5477*t**2 - 5773*t**2 wrt t?\n' | b'-7008*t\n' | deepmind/math_dataset |
b'Find the second derivative of 10546435 - 6052*x + 5472*x**2 - 10546435 wrt x.\n' | b'10944\n' | b'Find the second derivative of 10546435 - 6052*x + 5472*x**2 - 10546435 wrt x.\n' | b'10944\n' | deepmind/math_dataset |
b'What is prob of picking 2 p when two letters picked without replacement from bbbpppbbpb?\n' | b'2/15\n' | b'What is prob of picking 2 p when two letters picked without replacement from bbbpppbbpb?\n' | b'2/15\n' | deepmind/math_dataset |
b'What is prob of sequence kmz when three letters picked without replacement from {m: 1, f: 1, x: 1, k: 1, z: 1}?\n' | b'1/60\n' | b'What is prob of sequence kmz when three letters picked without replacement from {m: 1, f: 1, x: 1, k: 1, z: 1}?\n' | b'1/60\n' | deepmind/math_dataset |
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