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 u(f) = 5*f**2 - 5*f + 15. Let n(s) = 2*s**2 - 3*s + 8. Let y(t) = -5*n(t) + 3*u(t). Differentiate y(o) with respect to o.\n' | b'10*o\n' | b'Let u(f) = 5*f**2 - 5*f + 15. Let n(s) = 2*s**2 - 3*s + 8. Let y(t) = -5*n(t) + 3*u(t). Differentiate y(o) with respect to o.\n' | b'10*o\n' | deepmind/math_dataset |
b'Simplify (d**(-1/24)/(d**1*d*d))/(d/(d/(d**(-8)*d*d))*d)**(-32) assuming d is positive.\n' | b'd**(-3913/24)\n' | b'Simplify (d**(-1/24)/(d**1*d*d))/(d/(d/(d**(-8)*d*d))*d)**(-32) assuming d is positive.\n' | b'd**(-3913/24)\n' | deepmind/math_dataset |
b'What is prob of picking 2 n and 2 a when four letters picked without replacement from anaaaananannn?\n' | b'63/143\n' | b'What is prob of picking 2 n and 2 a when four letters picked without replacement from anaaaananannn?\n' | b'63/143\n' | deepmind/math_dataset |
b'Let i = -63 - -63. Suppose 2*h + 38 - 40 = i. Let d(b) = 8*b**3 - 2*b + 1. Calculate d(h).\n' | b'7\n' | b'Let i = -63 - -63. Suppose 2*h + 38 - 40 = i. Let d(b) = 8*b**3 - 2*b + 1. Calculate d(h).\n' | b'7\n' | deepmind/math_dataset |
b'Let q be 2/((-16)/40) + (8 - 1). Find the second derivative of -31*i**2 - 24*i**2 - 9*i - 2 - 14*i**2 + 33*i**q wrt i.\n' | b'-72\n' | b'Let q be 2/((-16)/40) + (8 - 1). Find the second derivative of -31*i**2 - 24*i**2 - 9*i - 2 - 14*i**2 + 33*i**q wrt i.\n' | b'-72\n' | deepmind/math_dataset |
b'Let l(j) = 7*j**3 + 6*j + 18. Let m(y) = y**3 + y + 4. Let v(r) = -l(r) + 5*m(r). What is v(1)?\n' | b'-1\n' | b'Let l(j) = 7*j**3 + 6*j + 18. Let m(y) = y**3 + y + 4. Let v(r) = -l(r) + 5*m(r). What is v(1)?\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify t**19/(t*t/(t*t*(t/t**(-6/11))/t)*t)*((t*t**(1/9))/t)**26 assuming t is positive.\n' | b't**(2122/99)\n' | b'Simplify t**19/(t*t/(t*t*(t/t**(-6/11))/t)*t)*((t*t**(1/9))/t)**26 assuming t is positive.\n' | b't**(2122/99)\n' | deepmind/math_dataset |
b'Let f(j) = j**3 + 6*j**2 + 2*j + 5. Let s = 37 + -43. What is f(s)?\n' | b'-7\n' | b'Let f(j) = j**3 + 6*j**2 + 2*j + 5. Let s = 37 + -43. What is f(s)?\n' | b'-7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 1, o: 1, e: 2, a: 3}. Give prob of sequence aaea.\n' | b'1/70\n' | b'Four letters picked without replacement from {i: 1, o: 1, e: 2, a: 3}. Give prob of sequence aaea.\n' | b'1/70\n' | deepmind/math_dataset |
b'What is prob of sequence tt when two letters picked without replacement from {p: 1, t: 7, j: 5}?\n' | b'7/26\n' | b'What is prob of sequence tt when two letters picked without replacement from {p: 1, t: 7, j: 5}?\n' | b'7/26\n' | deepmind/math_dataset |
b'Simplify ((((u/(u*u**6*u))/((u*u**(1/5)*u)/u))/((u**(1/8)*u)/u**(-6/17)))**(1/36))**(6/17) assuming u is positive.\n' | b'u**(-6581/69360)\n' | b'Simplify ((((u/(u*u**6*u))/((u*u**(1/5)*u)/u))/((u**(1/8)*u)/u**(-6/17)))**(1/36))**(6/17) assuming u is positive.\n' | b'u**(-6581/69360)\n' | deepmind/math_dataset |
b'Let w(n) = n**2 - 4*n - 4. Let t(f) = -4*f - 3. Let z(a) = 4*t(a) - 3*w(a). Find the second derivative of z(b) wrt b.\n' | b'-6\n' | b'Let w(n) = n**2 - 4*n - 4. Let t(f) = -4*f - 3. Let z(a) = 4*t(a) - 3*w(a). Find the second derivative of z(b) wrt b.\n' | b'-6\n' | deepmind/math_dataset |
b'Let f = -18 - -18. Suppose f = -4*m + 5*c - 21, 3*c - 4*c = -5*m. Find the first derivative of -5 - m + 3 - 8*h**4 - 2 wrt h.\n' | b'-32*h**3\n' | b'Let f = -18 - -18. Suppose f = -4*m + 5*c - 21, 3*c - 4*c = -5*m. Find the first derivative of -5 - m + 3 - 8*h**4 - 2 wrt h.\n' | b'-32*h**3\n' | deepmind/math_dataset |
b'Let z(n) = -n**3 + n - 1. Suppose 0 = -f + 2*f - 4. Suppose 4*u = f + 140. Let l = u - 38. Calculate z(l).\n' | b'5\n' | b'Let z(n) = -n**3 + n - 1. Suppose 0 = -f + 2*f - 4. Suppose 4*u = f + 140. Let l = u - 38. Calculate z(l).\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {r: 2, f: 9, u: 2}. What is prob of sequence uuf?\n' | b'3/286\n' | b'Three letters picked without replacement from {r: 2, f: 9, u: 2}. What is prob of sequence uuf?\n' | b'3/286\n' | deepmind/math_dataset |
b'Suppose 3*x + 5*r = 26 + 16, -3*x = -5*r - 42. Solve 3*s + 5*z = 21, -3*s + 1 = 3*z - x for s.\n' | b'2\n' | b'Suppose 3*x + 5*r = 26 + 16, -3*x = -5*r - 42. Solve 3*s + 5*z = 21, -3*s + 1 = 3*z - x for s.\n' | b'2\n' | deepmind/math_dataset |
b'Let j = -7 - -9. Suppose 0*r + 3*r - 6 = 2*i, r - j = -2*i. Find the third derivative of 3*k**2 - 4*k**r + 0*k**4 + 3*k**4 - 2*k**2 wrt k.\n' | b'72*k\n' | b'Let j = -7 - -9. Suppose 0*r + 3*r - 6 = 2*i, r - j = -2*i. Find the third derivative of 3*k**2 - 4*k**r + 0*k**4 + 3*k**4 - 2*k**2 wrt k.\n' | b'72*k\n' | deepmind/math_dataset |
b'Suppose 2*q + 5*j = -10 - 5, 2*q + 2*j = -12. Let i(r) = -r - 5. Let n be i(q). Solve 0 = -4*y - n*y - 12, 0 = 3*v + 5*y + 3 for v.\n' | b'4\n' | b'Suppose 2*q + 5*j = -10 - 5, 2*q + 2*j = -12. Let i(r) = -r - 5. Let n be i(q). Solve 0 = -4*y - n*y - 12, 0 = 3*v + 5*y + 3 for v.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 u and 1 x when three letters picked without replacement from {u: 2, x: 1, d: 2}.\n' | b'1/10\n' | b'Calculate prob of picking 2 u and 1 x when three letters picked without replacement from {u: 2, x: 1, d: 2}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify (g/g**22*g**(-6))/(g/(g*g**2/g*g)*g**(9/7)*g*g) assuming g is positive.\n' | b'g**(-198/7)\n' | b'Simplify (g/g**22*g**(-6))/(g/(g*g**2/g*g)*g**(9/7)*g*g) assuming g is positive.\n' | b'g**(-198/7)\n' | deepmind/math_dataset |
b'Suppose 2*v = 4*v - 8. Suppose 5*w + v*o - 38 = -4, 0 = -2*o - 8. Solve 0 = x - 5*h - 13, 4*x - w = 2*x + 2*h for x.\n' | b'3\n' | b'Suppose 2*v = 4*v - 8. Suppose 5*w + v*o - 38 = -4, 0 = -2*o - 8. Solve 0 = x - 5*h - 13, 4*x - w = 2*x + 2*h for x.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from uuuuuuuuuubuuuuuuuub. Give prob of sequence uuu.\n' | b'68/95\n' | b'Three letters picked without replacement from uuuuuuuuuubuuuuuuuub. Give prob of sequence uuu.\n' | b'68/95\n' | deepmind/math_dataset |
b'Simplify (((r**(2/27))**31)**19)**(-1/26) assuming r is positive.\n' | b'r**(-589/351)\n' | b'Simplify (((r**(2/27))**31)**19)**(-1/26) assuming r is positive.\n' | b'r**(-589/351)\n' | deepmind/math_dataset |
b'Let v = -22 - -25. Suppose -5 = -v*j + 1. Find the second derivative of r**2 + r**j - 2*r**2 - 7*r**4 + 3*r wrt r.\n' | b'-84*r**2\n' | b'Let v = -22 - -25. Suppose -5 = -v*j + 1. Find the second derivative of r**2 + r**j - 2*r**2 - 7*r**4 + 3*r wrt r.\n' | b'-84*r**2\n' | deepmind/math_dataset |
b'What is prob of sequence tti when three letters picked without replacement from itteteeetet?\n' | b'2/99\n' | b'What is prob of sequence tti when three letters picked without replacement from itteteeetet?\n' | b'2/99\n' | deepmind/math_dataset |
b'Simplify (q**9/(q/(q**(1/2)/q)))**(-18)*((q**(-2))**(-18))**(-3/20) assuming q is positive.\n' | b'q**(-702/5)\n' | b'Simplify (q**9/(q/(q**(1/2)/q)))**(-18)*((q**(-2))**(-18))**(-3/20) assuming q is positive.\n' | b'q**(-702/5)\n' | deepmind/math_dataset |
b'What is prob of sequence dil when three letters picked without replacement from {c: 1, d: 1, i: 1, t: 1, l: 1}?\n' | b'1/60\n' | b'What is prob of sequence dil when three letters picked without replacement from {c: 1, d: 1, i: 1, t: 1, l: 1}?\n' | b'1/60\n' | deepmind/math_dataset |
b'Simplify x**(2/9)*x**(-5)*(x**(-2/7))**(2/3) assuming x is positive.\n' | b'x**(-313/63)\n' | b'Simplify x**(2/9)*x**(-5)*(x**(-2/7))**(2/3) assuming x is positive.\n' | b'x**(-313/63)\n' | deepmind/math_dataset |
b'Simplify (c**(-3/5)/(c*c**(-8)))**46 assuming c is positive.\n' | b'c**(1472/5)\n' | b'Simplify (c**(-3/5)/(c*c**(-8)))**46 assuming c is positive.\n' | b'c**(1472/5)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 2, g: 1}. What is prob of picking 2 r?\n' | b'1/3\n' | b'Two letters picked without replacement from {r: 2, g: 1}. What is prob of picking 2 r?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let s(g) be the first derivative of 0*g + 10 + 0*g**2 + 13/3*g**3 - 5/6*g**6 + 0*g**5 + 0*g**4. Find the third derivative of s(t) wrt t.\n' | b'-300*t**2\n' | b'Let s(g) be the first derivative of 0*g + 10 + 0*g**2 + 13/3*g**3 - 5/6*g**6 + 0*g**5 + 0*g**4. Find the third derivative of s(t) wrt t.\n' | b'-300*t**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence xi when two letters picked without replacement from {x: 1, i: 1, b: 1}.\n' | b'1/6\n' | b'Calculate prob of sequence xi when two letters picked without replacement from {x: 1, i: 1, b: 1}.\n' | b'1/6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ivxjvbyvxiyixb. What is prob of picking 1 j and 1 i?\n' | b'3/91\n' | b'Two letters picked without replacement from ivxjvbyvxiyixb. What is prob of picking 1 j and 1 i?\n' | b'3/91\n' | deepmind/math_dataset |
b'What is prob of sequence ltgt when four letters picked without replacement from {q: 1, f: 6, t: 4, l: 2, g: 3}?\n' | b'3/1820\n' | b'What is prob of sequence ltgt when four letters picked without replacement from {q: 1, f: 6, t: 4, l: 2, g: 3}?\n' | b'3/1820\n' | deepmind/math_dataset |
b'Let t be (-6)/15 + (-81)/(-15). Let l be 2/t*(-3 + 18). Let h(s) = -5*s**2 + 2*s - 3*s + 6*s + s**3 - l. Calculate h(4).\n' | b'-2\n' | b'Let t be (-6)/15 + (-81)/(-15). Let l be 2/t*(-3 + 18). Let h(s) = -5*s**2 + 2*s - 3*s + 6*s + s**3 - l. Calculate h(4).\n' | b'-2\n' | deepmind/math_dataset |
b'Let y(h) = h**3 - 11*h**2 - 12*h + 10. Let i be y(12). Solve 0*c + 25 = -5*c - 5*f, i = -2*f for c.\n' | b'0\n' | b'Let y(h) = h**3 - 11*h**2 - 12*h + 10. Let i be y(12). Solve 0*c + 25 = -5*c - 5*f, i = -2*f for c.\n' | b'0\n' | deepmind/math_dataset |
b'Let s(k) be the first derivative of 41*k + 151 + 0*k**2 + 0*k**4 + 0*k**3 + 37/5*k**5. Find the first derivative of s(t) wrt t.\n' | b'148*t**3\n' | b'Let s(k) be the first derivative of 41*k + 151 + 0*k**2 + 0*k**4 + 0*k**3 + 37/5*k**5. Find the first derivative of s(t) wrt t.\n' | b'148*t**3\n' | deepmind/math_dataset |
b'Simplify ((a*a**(-2/3))/(((a**3*a)/a)/a*a))/(a*a**1*a)**(-2/13) assuming a is positive.\n' | b'a**(-86/39)\n' | b'Simplify ((a*a**(-2/3))/(((a**3*a)/a)/a*a))/(a*a**1*a)**(-2/13) assuming a is positive.\n' | b'a**(-86/39)\n' | deepmind/math_dataset |
b'Simplify l**(-5)/l*l**3*l**4*l**(-5)*l**(-5)/l*l*l*l*l*(l*l**(-1))/l*(l/l**5)/(l**(-3/4)*l) assuming l is positive.\n' | b'l**(-45/4)\n' | b'Simplify l**(-5)/l*l**3*l**4*l**(-5)*l**(-5)/l*l*l*l*l*(l*l**(-1))/l*(l/l**5)/(l**(-3/4)*l) assuming l is positive.\n' | b'l**(-45/4)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from aaaaeeea. Give prob of picking 2 a.\n' | b'5/14\n' | b'Two letters picked without replacement from aaaaeeea. Give prob of picking 2 a.\n' | b'5/14\n' | deepmind/math_dataset |
b'Simplify ((c**(11/3))**(-16)/(c*c/c**6)**(5/14))**(-1/13) assuming c is positive.\n' | b'c**(1202/273)\n' | b'Simplify ((c**(11/3))**(-16)/(c*c/c**6)**(5/14))**(-1/13) assuming c is positive.\n' | b'c**(1202/273)\n' | deepmind/math_dataset |
b'Let w(u) = -4*u**2 + 18*u - 5. Let x be w(4). Let f be -6*(x + 69/(-18)). Solve -2*v + 22 = f*j, j - 5 - 4 = -5*v for v.\n' | b'1\n' | b'Let w(u) = -4*u**2 + 18*u - 5. Let x be w(4). Let f be -6*(x + 69/(-18)). Solve -2*v + 22 = f*j, j - 5 - 4 = -5*v for v.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence pd when two letters picked without replacement from {l: 3, g: 2, p: 10, d: 1}.\n' | b'1/24\n' | b'Calculate prob of sequence pd when two letters picked without replacement from {l: 3, g: 2, p: 10, d: 1}.\n' | b'1/24\n' | deepmind/math_dataset |
b'Suppose -29 = -5*y - 9, -h = -2*y + 3. What is the second derivative of -17*k - 15*k + k**h + 3 - k**2 - 3 wrt k?\n' | b'20*k**3 - 2\n' | b'Suppose -29 = -5*y - 9, -h = -2*y + 3. What is the second derivative of -17*k - 15*k + k**h + 3 - k**2 - 3 wrt k?\n' | b'20*k**3 - 2\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 u and 1 x when four letters picked without replacement from {u: 6, x: 6}.\n' | b'8/33\n' | b'Calculate prob of picking 3 u and 1 x when four letters picked without replacement from {u: 6, x: 6}.\n' | b'8/33\n' | deepmind/math_dataset |
b'Simplify ((k*k*k/k**(-8/5))/(k*(k*k**2)/k))/(k**(-3/4)*k*k*k/(((k/(k/k**(3/7)*k))/k)/k))*(k**(6/5)/(k**(-1)*k))**(-50) assuming k is positive.\n' | b'k**(-8851/140)\n' | b'Simplify ((k*k*k/k**(-8/5))/(k*(k*k**2)/k))/(k**(-3/4)*k*k*k/(((k/(k/k**(3/7)*k))/k)/k))*(k**(6/5)/(k**(-1)*k))**(-50) assuming k is positive.\n' | b'k**(-8851/140)\n' | deepmind/math_dataset |
b'Suppose -5 = -4*x + 3. Suppose -3*s + 1 = -11. Suppose -2*b - 44 = 5*j, b + 12491 - 12462 = j. Solve 8 = -x*o - r, s*o + 2*r + 12 = j*o for o.\n' | b'-2\n' | b'Suppose -5 = -4*x + 3. Suppose -3*s + 1 = -11. Suppose -2*b - 44 = 5*j, b + 12491 - 12462 = j. Solve 8 = -x*o - r, s*o + 2*r + 12 = j*o for o.\n' | b'-2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from afddaaayadafafdafay. Give prob of sequence adad.\n' | b'3/323\n' | b'Four letters picked without replacement from afddaaayadafafdafay. Give prob of sequence adad.\n' | b'3/323\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mvmtzzzzzzmku. What is prob of picking 1 v and 1 t?\n' | b'1/78\n' | b'Two letters picked without replacement from mvmtzzzzzzmku. What is prob of picking 1 v and 1 t?\n' | b'1/78\n' | deepmind/math_dataset |
b'Simplify (p**(-5))**25 assuming p is positive.\n' | b'p**(-125)\n' | b'Simplify (p**(-5))**25 assuming p is positive.\n' | b'p**(-125)\n' | deepmind/math_dataset |
b'Let b(j) be the third derivative of j**6/120 - 2*j**5/15 + j**4/3 - 3*j**3/2 + 2*j**2. Determine b(7).\n' | b'-2\n' | b'Let b(j) be the third derivative of j**6/120 - 2*j**5/15 + j**4/3 - 3*j**3/2 + 2*j**2. Determine b(7).\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((w*w/w**(1/14)*w*(w**(-15/4)/w)/w)/((w*w/(w**33*w))/w**21))**44 assuming w is positive.\n' | b'w**(15455/7)\n' | b'Simplify ((w*w/w**(1/14)*w*(w**(-15/4)/w)/w)/((w*w/(w**33*w))/w**21))**44 assuming w is positive.\n' | b'w**(15455/7)\n' | deepmind/math_dataset |
b'Let n be 0 - (-4)/(-2) - -5. Let l be (-694)/6 - (-3)/(-9). Let c = 125 + l. Solve n = -4*o - c, -5*r = 3*o + 14 for r.\n' | b'-1\n' | b'Let n be 0 - (-4)/(-2) - -5. Let l be (-694)/6 - (-3)/(-9). Let c = 125 + l. Solve n = -4*o - c, -5*r = 3*o + 14 for r.\n' | b'-1\n' | deepmind/math_dataset |
b'Find the first derivative of 11 + 0*y + 3*y - 10*y**4 - 3*y wrt y.\n' | b'-40*y**3\n' | b'Find the first derivative of 11 + 0*y + 3*y - 10*y**4 - 3*y wrt y.\n' | b'-40*y**3\n' | deepmind/math_dataset |
b'Let l(m) be the second derivative of -19/28*m**8 + 0*m**6 + 0*m**3 + 0*m**5 + 56 + 0*m**7 + 0*m**2 + 49/12*m**4 + m. Find the third derivative of l(x) wrt x.\n' | b'-4560*x**3\n' | b'Let l(m) be the second derivative of -19/28*m**8 + 0*m**6 + 0*m**3 + 0*m**5 + 56 + 0*m**7 + 0*m**2 + 49/12*m**4 + m. Find the third derivative of l(x) wrt x.\n' | b'-4560*x**3\n' | deepmind/math_dataset |
b'Let a = -301 - -304. Solve a*y - 5*i = 17, 2*y = 5*y - 4*i - 13 for y.\n' | b'-1\n' | b'Let a = -301 - -304. Solve a*y - 5*i = 17, 2*y = 5*y - 4*i - 13 for y.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 e and 1 h when two letters picked without replacement from {g: 1, h: 1, e: 1}.\n' | b'1/3\n' | b'Calculate prob of picking 1 e and 1 h when two letters picked without replacement from {g: 1, h: 1, e: 1}.\n' | b'1/3\n' | deepmind/math_dataset |
b'Let f(w) = 15*w + 38 + 11*w - 4*w**2 - 2*w**2 + w**2 - 3*w**3. Let b(s) = s**3 + 2*s**2 - 9*s - 13. Let n(o) = 17*b(o) + 6*f(o). Calculate n(5).\n' | b'-3\n' | b'Let f(w) = 15*w + 38 + 11*w - 4*w**2 - 2*w**2 + w**2 - 3*w**3. Let b(s) = s**3 + 2*s**2 - 9*s - 13. Let n(o) = 17*b(o) + 6*f(o). Calculate n(5).\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jojjjjjojjoojj. Give prob of sequence joj.\n' | b'15/91\n' | b'Three letters picked without replacement from jojjjjjojjoojj. Give prob of sequence joj.\n' | b'15/91\n' | deepmind/math_dataset |
b'Suppose 2*x = -5*v + 5 + 22, 0 = 5*v - x - 24. Solve -2 + 4 = 4*b - v*l, -2*b = -4*l - 4 for b.\n' | b'-2\n' | b'Suppose 2*x = -5*v + 5 + 22, 0 = 5*v - x - 24. Solve -2 + 4 = 4*b - v*l, -2*b = -4*l - 4 for b.\n' | b'-2\n' | deepmind/math_dataset |
b'Let h(x) = x**2 - 9*x + 17. Suppose 44*r = -57*r + 1212. Calculate h(r).\n' | b'53\n' | b'Let h(x) = x**2 - 9*x + 17. Suppose 44*r = -57*r + 1212. Calculate h(r).\n' | b'53\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 1, x: 1, q: 1, a: 1, f: 1}. What is prob of picking 1 q and 1 a?\n' | b'1/10\n' | b'Two letters picked without replacement from {m: 1, x: 1, q: 1, a: 1, f: 1}. What is prob of picking 1 q and 1 a?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let u(i) = i**2 + 3*i - 4. Let x be (8/24)/((-1)/15). Let f be 2/x*10/1. Let s be u(f). Let z(l) = l. What is z(s)?\n' | b'0\n' | b'Let u(i) = i**2 + 3*i - 4. Let x be (8/24)/((-1)/15). Let f be 2/x*10/1. Let s be u(f). Let z(l) = l. What is z(s)?\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -p + 3*a + 2 = -0*a, a - 10 = -5*p. Let l(s) = -s**2 + 9*s + 2. Let f be l(9). What is the second derivative of -d + f*d + d**5 - p*d wrt d?\n' | b'20*d**3\n' | b'Suppose -p + 3*a + 2 = -0*a, a - 10 = -5*p. Let l(s) = -s**2 + 9*s + 2. Let f be l(9). What is the second derivative of -d + f*d + d**5 - p*d wrt d?\n' | b'20*d**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 2, f: 11}. What is prob of sequence sf?\n' | b'11/78\n' | b'Two letters picked without replacement from {s: 2, f: 11}. What is prob of sequence sf?\n' | b'11/78\n' | deepmind/math_dataset |
b'Calculate prob of sequence mx when two letters picked without replacement from {x: 1, m: 1, o: 3, r: 1, e: 1}.\n' | b'1/42\n' | b'Calculate prob of sequence mx when two letters picked without replacement from {x: 1, m: 1, o: 3, r: 1, e: 1}.\n' | b'1/42\n' | deepmind/math_dataset |
b'Calculate prob of sequence mcc when three letters picked without replacement from ttmtmmtmtmtmtmmmtcm.\n' | b'0\n' | b'Calculate prob of sequence mcc when three letters picked without replacement from ttmtmmtmtmtmtmmmtcm.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 n and 1 c when four letters picked without replacement from cccnncccccncccccnc.\n' | b'14/765\n' | b'Calculate prob of picking 3 n and 1 c when four letters picked without replacement from cccnncccccncccccnc.\n' | b'14/765\n' | deepmind/math_dataset |
b'Two letters picked without replacement from iipvvpppiip. Give prob of sequence vi.\n' | b'4/55\n' | b'Two letters picked without replacement from iipvvpppiip. Give prob of sequence vi.\n' | b'4/55\n' | deepmind/math_dataset |
b'What is prob of sequence gy when two letters picked without replacement from ygjyyggggyggg?\n' | b'8/39\n' | b'What is prob of sequence gy when two letters picked without replacement from ygjyyggggyggg?\n' | b'8/39\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {r: 2, v: 1, z: 7, l: 3, b: 1}. What is prob of picking 1 z, 1 v, and 1 l?\n' | b'3/52\n' | b'Three letters picked without replacement from {r: 2, v: 1, z: 7, l: 3, b: 1}. What is prob of picking 1 z, 1 v, and 1 l?\n' | b'3/52\n' | deepmind/math_dataset |
b'Suppose -2*m = -6 + 2. Let g be (-48)/20*(392/(-21) - -17). Solve 0*v + 3 = v + 2*q, 18 = -m*v + g*q for v.\n' | b'-3\n' | b'Suppose -2*m = -6 + 2. Let g be (-48)/20*(392/(-21) - -17). Solve 0*v + 3 = v + 2*q, 18 = -m*v + g*q for v.\n' | b'-3\n' | deepmind/math_dataset |
b'Let l = 9 + -4. Suppose 2*r - l = r. Solve 10 = -2*d + r*c - 2*c, 2*d + 18 = 5*c for d.\n' | b'1\n' | b'Let l = 9 + -4. Suppose 2*r - l = r. Solve 10 = -2*d + r*c - 2*c, 2*d + 18 = 5*c for d.\n' | b'1\n' | deepmind/math_dataset |
b'Let q be (-5 - -6)/((-2)/(-4)). Suppose 5*m - 2*i - 1 = 5, -4 = -4*m + q*i. Find the third derivative of -3*v**5 - m*v**2 + 4*v**5 + 0*v**2 + 3*v**2 wrt v.\n' | b'60*v**2\n' | b'Let q be (-5 - -6)/((-2)/(-4)). Suppose 5*m - 2*i - 1 = 5, -4 = -4*m + q*i. Find the third derivative of -3*v**5 - m*v**2 + 4*v**5 + 0*v**2 + 3*v**2 wrt v.\n' | b'60*v**2\n' | deepmind/math_dataset |
b'Let y = -2214 - -2217. Let a(q) be the first derivative of 0*q**2 + 8*q + 8/3*q**y + 5. Differentiate a(c) with respect to c.\n' | b'16*c\n' | b'Let y = -2214 - -2217. Let a(q) be the first derivative of 0*q**2 + 8*q + 8/3*q**y + 5. Differentiate a(c) with respect to c.\n' | b'16*c\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 5, h: 9}. Give prob of picking 3 h.\n' | b'3/13\n' | b'Three letters picked without replacement from {i: 5, h: 9}. Give prob of picking 3 h.\n' | b'3/13\n' | deepmind/math_dataset |
b'Let i(o) = 18*o - 9. Let a(h) = 15*h + 2. Let p(y) = -8*y. Let l(c) = 3*a(c) + 7*p(c). Let g(k) = 5*i(k) + 8*l(k). Calculate g(-2).\n' | b'-1\n' | b'Let i(o) = 18*o - 9. Let a(h) = 15*h + 2. Let p(y) = -8*y. Let l(c) = 3*a(c) + 7*p(c). Let g(k) = 5*i(k) + 8*l(k). Calculate g(-2).\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 j when two letters picked without replacement from {j: 4}.\n' | b'1\n' | b'Calculate prob of picking 2 j when two letters picked without replacement from {j: 4}.\n' | b'1\n' | deepmind/math_dataset |
b'Let f(v) = -24*v**3 + 9*v**2 - 9. Let y(n) = 12*n**3 - 4*n**2 + 4. Let z(t) = 3*f(t) + 7*y(t). Determine z(-1).\n' | b'-12\n' | b'Let f(v) = -24*v**3 + 9*v**2 - 9. Let y(n) = 12*n**3 - 4*n**2 + 4. Let z(t) = 3*f(t) + 7*y(t). Determine z(-1).\n' | b'-12\n' | deepmind/math_dataset |
b'Simplify (((r**(5/3)*r*r*r)/r*r*r**(-5)*r)/(r**0)**(2/3))/(r**(2/3)/r**(-2/11))**(-39) assuming r is positive.\n' | b'r**(1114/33)\n' | b'Simplify (((r**(5/3)*r*r*r)/r*r*r**(-5)*r)/(r**0)**(2/3))/(r**(2/3)/r**(-2/11))**(-39) assuming r is positive.\n' | b'r**(1114/33)\n' | deepmind/math_dataset |
b'Let p(f) be the second derivative of 8*f**4/3 - 19*f**3/3 - 1217*f**2/2 + 18*f - 86. Differentiate p(n) wrt n.\n' | b'64*n - 38\n' | b'Let p(f) be the second derivative of 8*f**4/3 - 19*f**3/3 - 1217*f**2/2 + 18*f - 86. Differentiate p(n) wrt n.\n' | b'64*n - 38\n' | deepmind/math_dataset |
b'Let i be (-2*1)/(-10) + 9/(-45). Solve i = -u + r + 3, 0 = -3*u + 4*u - 5*r - 23 for u.\n' | b'-2\n' | b'Let i be (-2*1)/(-10) + 9/(-45). Solve i = -u + r + 3, 0 = -3*u + 4*u - 5*r - 23 for u.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -41*z = -35*z - 96. Solve 2*c - 20 = -4*d + 4*c, 0 = -5*d - 2*c + z for d.\n' | b'4\n' | b'Suppose -41*z = -35*z - 96. Solve 2*c - 20 = -4*d + 4*c, 0 = -5*d - 2*c + z for d.\n' | b'4\n' | deepmind/math_dataset |
b'Let m(v) be the first derivative of -v**3/3 - v**2/2 - 11*v + 1. Let s = -12843 + 12843. Determine m(s).\n' | b'-11\n' | b'Let m(v) be the first derivative of -v**3/3 - v**2/2 - 11*v + 1. Let s = -12843 + 12843. Determine m(s).\n' | b'-11\n' | deepmind/math_dataset |
b'What is the third derivative of -2*j**2 + 17*j**5 + 0*j**2 - 4*j**2 + 3*j**3 - 5*j**5 + 138*j - 141*j wrt j?\n' | b'720*j**2 + 18\n' | b'What is the third derivative of -2*j**2 + 17*j**5 + 0*j**2 - 4*j**2 + 3*j**3 - 5*j**5 + 138*j - 141*j wrt j?\n' | b'720*j**2 + 18\n' | deepmind/math_dataset |
b'Let p be 9/1 - (6 + -1 + -1). Let s = 49 + -28. Suppose 5*h + 1 = 5*d + s, 0 = p*h - d - 12. Solve -12 = -h*y - 3*m, 5*m + 0 = 5*y + 20 for y.\n' | b'0\n' | b'Let p be 9/1 - (6 + -1 + -1). Let s = 49 + -28. Suppose 5*h + 1 = 5*d + s, 0 = p*h - d - 12. Solve -12 = -h*y - 3*m, 5*m + 0 = 5*y + 20 for y.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yqqqqyyq. Give prob of picking 1 y and 1 q.\n' | b'15/28\n' | b'Two letters picked without replacement from yqqqqyyq. Give prob of picking 1 y and 1 q.\n' | b'15/28\n' | deepmind/math_dataset |
b'Let t(a) = a + 0*a + 2*a**2 + 4*a**2 + a**3. Let q(s) = -s**2 + 9*s - 26. Let c be q(4). What is t(c)?\n' | b'-6\n' | b'Let t(a) = a + 0*a + 2*a**2 + 4*a**2 + a**3. Let q(s) = -s**2 + 9*s - 26. Let c be q(4). What is t(c)?\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose 4*z - 7*z + 25 = -4*q, -5*q = z + 17. Suppose 0*b + 3*b - 6 = -2*o, -z*o + 3*b = -9. Solve v = 2*u + o, u - v = 4*v + 21 for u.\n' | b'-4\n' | b'Suppose 4*z - 7*z + 25 = -4*q, -5*q = z + 17. Suppose 0*b + 3*b - 6 = -2*o, -z*o + 3*b = -9. Solve v = 2*u + o, u - v = 4*v + 21 for u.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 0 = -52*r + 11*r + 779. Let o(i) = -i**3 + 18*i**2 + 19*i - 17. What is o(r)?\n' | b'-17\n' | b'Suppose 0 = -52*r + 11*r + 779. Let o(i) = -i**3 + 18*i**2 + 19*i - 17. What is o(r)?\n' | b'-17\n' | deepmind/math_dataset |
b'Let a(o) = -265*o**2 + 132*o + 5. Let r(i) = -309*i**2 + 153*i + 6. Let q(p) = 7*a(p) - 6*r(p). Suppose 1 = m - 6. Calculate q(m).\n' | b'-8\n' | b'Let a(o) = -265*o**2 + 132*o + 5. Let r(i) = -309*i**2 + 153*i + 6. Let q(p) = 7*a(p) - 6*r(p). Suppose 1 = m - 6. Calculate q(m).\n' | b'-8\n' | deepmind/math_dataset |
b'Let n = -475 + 525. Let l be (n/(-125) - (-26)/(-10)) + 6. Solve 4*p - 2*b = 0, -2*p - l*b - b = 10 for p.\n' | b'-1\n' | b'Let n = -475 + 525. Let l be (n/(-125) - (-26)/(-10)) + 6. Solve 4*p - 2*b = 0, -2*p - l*b - b = 10 for p.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose 4*o = 4*i, 4*o + 4*i = -o. What is the first derivative of o*f - 2*f + 2*f + 2*f**2 - 5 wrt f?\n' | b'4*f\n' | b'Suppose 4*o = 4*i, 4*o + 4*i = -o. What is the first derivative of o*f - 2*f + 2*f + 2*f**2 - 5 wrt f?\n' | b'4*f\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bwddddwdwmwwwbwhddd. Give prob of picking 1 m and 1 h.\n' | b'1/171\n' | b'Two letters picked without replacement from bwddddwdwmwwwbwhddd. Give prob of picking 1 m and 1 h.\n' | b'1/171\n' | deepmind/math_dataset |
b'Let d(v) be the second derivative of -v**4/12 + 4*v**3/3 + 15*v**2/2 + 31*v + 7. Determine d(12).\n' | b'-33\n' | b'Let d(v) be the second derivative of -v**4/12 + 4*v**3/3 + 15*v**2/2 + 31*v + 7. Determine d(12).\n' | b'-33\n' | deepmind/math_dataset |
b'Let n(s) = -15 + 11*s + 1398*s**3 - 469*s**3 - 465*s**3 + 0*s**2 - 4*s**2 - 463*s**3. Determine n(2).\n' | b'-1\n' | b'Let n(s) = -15 + 11*s + 1398*s**3 - 469*s**3 - 465*s**3 + 0*s**2 - 4*s**2 - 463*s**3. Determine n(2).\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose 0*h = 6*h - 2*h. Suppose -5*s + 16 = -2*a, h = 2*a - 2*s + 6 - 2. Find the third derivative of 5*v**2 + 2*v**2 + 21*v**a - 2*v**3 wrt v.\n' | b'-12\n' | b'Suppose 0*h = 6*h - 2*h. Suppose -5*s + 16 = -2*a, h = 2*a - 2*s + 6 - 2. Find the third derivative of 5*v**2 + 2*v**2 + 21*v**a - 2*v**3 wrt v.\n' | b'-12\n' | deepmind/math_dataset |
b'What is prob of picking 3 c when three letters picked without replacement from cccsccccccscccccscs?\n' | b'455/969\n' | b'What is prob of picking 3 c when three letters picked without replacement from cccsccccccscccccscs?\n' | b'455/969\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ggmggggggjzggjggjmg. What is prob of sequence mzgg?\n' | b'13/3876\n' | b'Four letters picked without replacement from ggmggggggjzggjggjmg. What is prob of sequence mzgg?\n' | b'13/3876\n' | deepmind/math_dataset |
b'Let n(a) = a**3 - 98*a**2 - 206*a + 605. Let l be n(100). Solve -l*g = 4*j + 41, -g - 10 = -5 for j.\n' | b'-4\n' | b'Let n(a) = a**3 - 98*a**2 - 206*a + 605. Let l be n(100). Solve -l*g = 4*j + 41, -g - 10 = -5 for j.\n' | b'-4\n' | deepmind/math_dataset |
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