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 k(l) be the first derivative of 2/3*l**3 + 1 + l + 0*l**2. Find the first derivative of k(m) wrt m.\n' | b'4*m\n' | b'Let k(l) be the first derivative of 2/3*l**3 + 1 + l + 0*l**2. Find the first derivative of k(m) wrt m.\n' | b'4*m\n' | deepmind/math_dataset |
b'Find the second derivative of 100 - 6*r**4 - 100 - 11*r**4 + 13*r**4 - 3493*r wrt r.\n' | b'-48*r**2\n' | b'Find the second derivative of 100 - 6*r**4 - 100 - 11*r**4 + 13*r**4 - 3493*r wrt r.\n' | b'-48*r**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 q, 1 y, and 2 a when four letters picked without replacement from {w: 2, q: 2, a: 2, y: 2}.\n' | b'2/35\n' | b'Calculate prob of picking 1 q, 1 y, and 2 a when four letters picked without replacement from {w: 2, q: 2, a: 2, y: 2}.\n' | b'2/35\n' | deepmind/math_dataset |
b'Suppose -2*l - 2*c = 0, l + 3*l - 2*c = 0. Solve -2 = -k - v - l, -v = -5 for k.\n' | b'-3\n' | b'Suppose -2*l - 2*c = 0, l + 3*l - 2*c = 0. Solve -2 = -k - v - l, -v = -5 for k.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 16 - 10 = 2*a. Solve -c = -a*w + 4*c - 21, -w - 8 = -2*c for w.\n' | b'-2\n' | b'Suppose 16 - 10 = 2*a. Solve -c = -a*w + 4*c - 21, -w - 8 = -2*c for w.\n' | b'-2\n' | deepmind/math_dataset |
b'What is the second derivative of 593*t**4 + 44 - 87 + 429*t + 136*t**4 + 44 wrt t?\n' | b'8748*t**2\n' | b'What is the second derivative of 593*t**4 + 44 - 87 + 429*t + 136*t**4 + 44 wrt t?\n' | b'8748*t**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rlqttsqtlttbqqtqt. Give prob of picking 1 r and 1 q.\n' | b'5/136\n' | b'Two letters picked without replacement from rlqttsqtlttbqqtqt. Give prob of picking 1 r and 1 q.\n' | b'5/136\n' | deepmind/math_dataset |
b'Let u(i) be the third derivative of i**4/24 + i**3/3 + 2*i**2. Let r be u(1). What is the first derivative of -25*m**r + 17 + 23*m**3 - 8 wrt m?\n' | b'-6*m**2\n' | b'Let u(i) be the third derivative of i**4/24 + i**3/3 + 2*i**2. Let r be u(1). What is the first derivative of -25*m**r + 17 + 23*m**3 - 8 wrt m?\n' | b'-6*m**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from dbtbk. What is prob of picking 1 k and 1 b?\n' | b'1/5\n' | b'Two letters picked without replacement from dbtbk. What is prob of picking 1 k and 1 b?\n' | b'1/5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from dndndnnndnnnnn. What is prob of sequence ndnn?\n' | b'120/1001\n' | b'Four letters picked without replacement from dndndnnndnnnnn. What is prob of sequence ndnn?\n' | b'120/1001\n' | deepmind/math_dataset |
b'Let g(n) = -n**2 - 17*n - 9. Let i be g(-16). Let q be 2/(-7) + 16/i. Solve 2*x = 3 - 1, h - 6 = -q*x for h.\n' | b'4\n' | b'Let g(n) = -n**2 - 17*n - 9. Let i be g(-16). Let q be 2/(-7) + 16/i. Solve 2*x = 3 - 1, h - 6 = -q*x for h.\n' | b'4\n' | deepmind/math_dataset |
b'Let n = 4 + 2. Let r be 0/(3/(-3)*1). Differentiate -3*v**2 + r*v**2 + n + 5*v**2 + 6*v**2 with respect to v.\n' | b'16*v\n' | b'Let n = 4 + 2. Let r be 0/(3/(-3)*1). Differentiate -3*v**2 + r*v**2 + n + 5*v**2 + 6*v**2 with respect to v.\n' | b'16*v\n' | deepmind/math_dataset |
b'Suppose 0 = -5*h + 131 - 151. Let u be (-1 - 1 - h)*(-15)/(-6). Solve 0 = 4*f - 3*b + 7*b - 20, u*f = 4*b + 7 for f.\n' | b'3\n' | b'Suppose 0 = -5*h + 131 - 151. Let u be (-1 - 1 - h)*(-15)/(-6). Solve 0 = 4*f - 3*b + 7*b - 20, u*f = 4*b + 7 for f.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 6, y: 2, v: 3, a: 2, c: 2}. What is prob of picking 1 t and 1 a?\n' | b'4/35\n' | b'Two letters picked without replacement from {t: 6, y: 2, v: 3, a: 2, c: 2}. What is prob of picking 1 t and 1 a?\n' | b'4/35\n' | deepmind/math_dataset |
b'Simplify (((x*x**(-5))/x)/x**5)**(-1/20) assuming x is positive.\n' | b'sqrt(x)\n' | b'Simplify (((x*x**(-5))/x)/x**5)**(-1/20) assuming x is positive.\n' | b'sqrt(x)\n' | deepmind/math_dataset |
b'Let w(a) be the second derivative of -3*a**5/20 - a**4 - 5*a. Find the third derivative of w(y) wrt y.\n' | b'-18\n' | b'Let w(a) be the second derivative of -3*a**5/20 - a**4 - 5*a. Find the third derivative of w(y) wrt y.\n' | b'-18\n' | deepmind/math_dataset |
b'Let v(s) be the second derivative of 10*s**2 + 0 - 7/20*s**5 + 0*s**3 + 42*s + 0*s**4. What is the first derivative of v(p) wrt p?\n' | b'-21*p**2\n' | b'Let v(s) be the second derivative of 10*s**2 + 0 - 7/20*s**5 + 0*s**3 + 42*s + 0*s**4. What is the first derivative of v(p) wrt p?\n' | b'-21*p**2\n' | deepmind/math_dataset |
b'Simplify ((v**(-19))**6*(v**(-15))**(-4/9))**(-23/5) assuming v is positive.\n' | b'v**(7406/15)\n' | b'Simplify ((v**(-19))**6*(v**(-15))**(-4/9))**(-23/5) assuming v is positive.\n' | b'v**(7406/15)\n' | deepmind/math_dataset |
b'Let g(o) = o**2 - 3*o + 4. Let a(s) = -2*s**2 + 7*s - 9. Let i(c) = -3*a(c) - 7*g(c). Let l be 2/(-7) + 141/(-21). Let w = -7 - l. Give i(w).\n' | b'-1\n' | b'Let g(o) = o**2 - 3*o + 4. Let a(s) = -2*s**2 + 7*s - 9. Let i(c) = -3*a(c) - 7*g(c). Let l be 2/(-7) + 141/(-21). Let w = -7 - l. Give i(w).\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 g and 2 y when three letters picked without replacement from {j: 1, g: 4, c: 1, f: 2, y: 3}.\n' | b'4/55\n' | b'Calculate prob of picking 1 g and 2 y when three letters picked without replacement from {j: 1, g: 4, c: 1, f: 2, y: 3}.\n' | b'4/55\n' | deepmind/math_dataset |
b'Let p(g) be the first derivative of -g**3/3 + 15*g**2/2 - 38*g + 399. Calculate p(12).\n' | b'-2\n' | b'Let p(g) be the first derivative of -g**3/3 + 15*g**2/2 - 38*g + 399. Calculate p(12).\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ngvgp. Give prob of picking 1 g and 1 v.\n' | b'1/5\n' | b'Two letters picked without replacement from ngvgp. Give prob of picking 1 g and 1 v.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let k(f) be the first derivative of -3*f**4/4 + f**3/3 - f + 1. Let h = -3663 - -3662. Give k(h).\n' | b'3\n' | b'Let k(f) be the first derivative of -3*f**4/4 + f**3/3 - f + 1. Let h = -3663 - -3662. Give k(h).\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((l**0/l*l*l**(-5/3))/((l**6*l)/l*l**(-4)/l))**(-34) assuming l is positive.\n' | b'l**(272/3)\n' | b'Simplify ((l**0/l*l*l**(-5/3))/((l**6*l)/l*l**(-4)/l))**(-34) assuming l is positive.\n' | b'l**(272/3)\n' | deepmind/math_dataset |
b'Simplify (p**(-1/4)*p*p**(-1)/p)**(3/17)/(((p/(p**0/p))/p*p*p)**42*(((p/((p*p**(-3)*p*p)/p))/p)/p)/p*p/p**2) assuming p is positive.\n' | b'p**(-8447/68)\n' | b'Simplify (p**(-1/4)*p*p**(-1)/p)**(3/17)/(((p/(p**0/p))/p*p*p)**42*(((p/((p*p**(-3)*p*p)/p))/p)/p)/p*p/p**2) assuming p is positive.\n' | b'p**(-8447/68)\n' | deepmind/math_dataset |
b'Simplify (f**(-7)*f*f**(-1/9)/f*f)/(f**(-2/5)*f)**(11/2) assuming f is positive.\n' | b'f**(-847/90)\n' | b'Simplify (f**(-7)*f*f**(-1/9)/f*f)/(f**(-2/5)*f)**(11/2) assuming f is positive.\n' | b'f**(-847/90)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 1, d: 2, w: 1}. What is prob of picking 1 d and 1 w?\n' | b'1/3\n' | b'Two letters picked without replacement from {i: 1, d: 2, w: 1}. What is prob of picking 1 d and 1 w?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let p = -65 + 70. Let z(d) = p*d**2 + 6*d + 6*d**2 - 3 - 15*d**2 + 3*d**2. Give z(5).\n' | b'2\n' | b'Let p = -65 + 70. Let z(d) = p*d**2 + 6*d + 6*d**2 - 3 - 15*d**2 + 3*d**2. Give z(5).\n' | b'2\n' | deepmind/math_dataset |
b'Find the second derivative of 863 - 863 - l**5 + 12*l wrt l.\n' | b'-20*l**3\n' | b'Find the second derivative of 863 - 863 - l**5 + 12*l wrt l.\n' | b'-20*l**3\n' | deepmind/math_dataset |
b'Let d(c) = c**2 - 2*c + 4. Let w be d(0). Solve 2*g + 3*g + 14 = -w*p, 0 = 3*g - 5*p + 1 for g.\n' | b'-2\n' | b'Let d(c) = c**2 - 2*c + 4. Let w be d(0). Solve 2*g + 3*g + 14 = -w*p, 0 = 3*g - 5*p + 1 for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((u/(u/((u/(u**0/u))/u)))**2*(u**0)**27)/((u*u**5)/(u**(2/3)/u)*u**(5/2)/(u/u**(1/6))) assuming u is positive.\n' | b'u**(-6)\n' | b'Simplify ((u/(u/((u/(u**0/u))/u)))**2*(u**0)**27)/((u*u**5)/(u**(2/3)/u)*u**(5/2)/(u/u**(1/6))) assuming u is positive.\n' | b'u**(-6)\n' | deepmind/math_dataset |
b'Calculate prob of sequence bbu when three letters picked without replacement from buobhbhbu.\n' | b'1/21\n' | b'Calculate prob of sequence bbu when three letters picked without replacement from buobhbhbu.\n' | b'1/21\n' | deepmind/math_dataset |
b'What is prob of picking 1 i, 1 a, and 2 o when four letters picked without replacement from {i: 2, a: 1, m: 5, k: 1, o: 5, y: 2}?\n' | b'1/91\n' | b'What is prob of picking 1 i, 1 a, and 2 o when four letters picked without replacement from {i: 2, a: 1, m: 5, k: 1, o: 5, y: 2}?\n' | b'1/91\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 h when four letters picked without replacement from {v: 4, h: 14}.\n' | b'1001/3060\n' | b'Calculate prob of picking 4 h when four letters picked without replacement from {v: 4, h: 14}.\n' | b'1001/3060\n' | deepmind/math_dataset |
b'Suppose -6*q = -8*q + 34. Let c = q + -13. Let r be (c/4 - -1)/1. Solve -r*b + 8 - 2 = s, 0 = b - 3 for s.\n' | b'0\n' | b'Suppose -6*q = -8*q + 34. Let c = q + -13. Let r be (c/4 - -1)/1. Solve -r*b + 8 - 2 = s, 0 = b - 3 for s.\n' | b'0\n' | deepmind/math_dataset |
b'Let p(s) be the first derivative of -s**6/8 - s**5/3 + 4*s**2 + 4. Let h(d) be the second derivative of p(d). Find the third derivative of h(k) wrt k.\n' | b'-90\n' | b'Let p(s) be the first derivative of -s**6/8 - s**5/3 + 4*s**2 + 4. Let h(d) be the second derivative of p(d). Find the third derivative of h(k) wrt k.\n' | b'-90\n' | deepmind/math_dataset |
b'Simplify (r/r**0)/r**(-1/15)*r**(3/5)/r**8*((r**4/r)/r)/r**(1/7)*(r**(-1/3))**(-4/7) assuming r is positive.\n' | b'r**(-30/7)\n' | b'Simplify (r/r**0)/r**(-1/15)*r**(3/5)/r**8*((r**4/r)/r)/r**(1/7)*(r**(-1/3))**(-4/7) assuming r is positive.\n' | b'r**(-30/7)\n' | deepmind/math_dataset |
b'Let j(m) = m**3 + 2*m**2 - 4*m - 4. Let i(d) be the first derivative of d**3/3 - 9*d**2/2 - 3*d + 34. Let z be i(9). Give j(z).\n' | b'-1\n' | b'Let j(m) = m**3 + 2*m**2 - 4*m - 4. Let i(d) be the first derivative of d**3/3 - 9*d**2/2 - 3*d + 34. Let z be i(9). Give j(z).\n' | b'-1\n' | deepmind/math_dataset |
b'Let o(b) = b + 19. Let x be o(-19). Let f(a) be the third derivative of 1/120*a**6 - 1/8*a**4 + x*a - 5*a**2 + a**3 + 0 + 1/15*a**5. Calculate f(-5).\n' | b'-4\n' | b'Let o(b) = b + 19. Let x be o(-19). Let f(a) be the third derivative of 1/120*a**6 - 1/8*a**4 + x*a - 5*a**2 + a**3 + 0 + 1/15*a**5. Calculate f(-5).\n' | b'-4\n' | deepmind/math_dataset |
b'Let c(k) = -6 + 5 + 5 + 3*k - 2. Suppose 3*u = -u + 8. What is c(u)?\n' | b'8\n' | b'Let c(k) = -6 + 5 + 5 + 3*k - 2. Suppose 3*u = -u + 8. What is c(u)?\n' | b'8\n' | deepmind/math_dataset |
b'Let s = -3 - -10. Suppose 7 = 3*y - s*y - 3*a, -7 = -2*y - 5*a. Let x(u) = -5 + 5 + 4*u**2 - 13118*u**3 + 2*u + 13119*u**3. Determine x(y).\n' | b'-8\n' | b'Let s = -3 - -10. Suppose 7 = 3*y - s*y - 3*a, -7 = -2*y - 5*a. Let x(u) = -5 + 5 + 4*u**2 - 13118*u**3 + 2*u + 13119*u**3. Determine x(y).\n' | b'-8\n' | deepmind/math_dataset |
b'Simplify (x**1*x**8*(x/(x/x**(-2/39)))/x*x**(-4/19)/x)**(-6) assuming x is positive.\n' | b'x**(-9986/247)\n' | b'Simplify (x**1*x**8*(x/(x/x**(-2/39)))/x*x**(-4/19)/x)**(-6) assuming x is positive.\n' | b'x**(-9986/247)\n' | deepmind/math_dataset |
b'Let f be (-42)/(-4) + 1/(-2) + 0. Let u be (-8)/f*((-9)/(-6) + -4). Suppose -5*s = -4*s - u. Solve -3*i + 18 = 3*g, -2*g = 2*i + s*i - 22 for g.\n' | b'1\n' | b'Let f be (-42)/(-4) + 1/(-2) + 0. Let u be (-8)/f*((-9)/(-6) + -4). Suppose -5*s = -4*s - u. Solve -3*i + 18 = 3*g, -2*g = 2*i + s*i - 22 for g.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((s**(9/5)/s)/s)**17 assuming s is positive.\n' | b's**(-17/5)\n' | b'Simplify ((s**(9/5)/s)/s)**17 assuming s is positive.\n' | b's**(-17/5)\n' | deepmind/math_dataset |
b'Calculate prob of sequence gc when two letters picked without replacement from mmvvcyvvg.\n' | b'1/72\n' | b'Calculate prob of sequence gc when two letters picked without replacement from mmvvcyvvg.\n' | b'1/72\n' | deepmind/math_dataset |
b'Let q(o) be the second derivative of -23*o**7/21 + 89*o**4/12 + 29*o. What is the third derivative of q(w) wrt w?\n' | b'-2760*w**2\n' | b'Let q(o) be the second derivative of -23*o**7/21 + 89*o**4/12 + 29*o. What is the third derivative of q(w) wrt w?\n' | b'-2760*w**2\n' | deepmind/math_dataset |
b'Suppose -21*u + 130*u - 454 = 963. Solve -2*c - 5*h + 38 = u, 5*c = -3*h + 15 for c.\n' | b'0\n' | b'Suppose -21*u + 130*u - 454 = 963. Solve -2*c - 5*h + 38 = u, 5*c = -3*h + 15 for c.\n' | b'0\n' | deepmind/math_dataset |
b'Let g(t) = -11*t + 199. Let h = 14351 - 14333. Determine g(h).\n' | b'1\n' | b'Let g(t) = -11*t + 199. Let h = 14351 - 14333. Determine g(h).\n' | b'1\n' | deepmind/math_dataset |
b'Let h(k) = k**2 - k - 1. Let i(g) = -5*g**5 - 4*g**3 - 1877*g**2 - 3*g - 3. Let p(a) = 3*h(a) - i(a). Find the third derivative of p(u) wrt u.\n' | b'300*u**2 + 24\n' | b'Let h(k) = k**2 - k - 1. Let i(g) = -5*g**5 - 4*g**3 - 1877*g**2 - 3*g - 3. Let p(a) = 3*h(a) - i(a). Find the third derivative of p(u) wrt u.\n' | b'300*u**2 + 24\n' | deepmind/math_dataset |
b'Suppose 0 = -4*n - 3*g - 15, n + 3*g + 3 = -3. Let l = n - -5. Find the third derivative of 0*w**6 - l*w**6 + 2*w**2 + w**6 wrt w.\n' | b'-120*w**3\n' | b'Suppose 0 = -4*n - 3*g - 15, n + 3*g + 3 = -3. Let l = n - -5. Find the third derivative of 0*w**6 - l*w**6 + 2*w**2 + w**6 wrt w.\n' | b'-120*w**3\n' | deepmind/math_dataset |
b'What is the second derivative of -19*g**3 - 525*g**3 - 437*g - 293*g**3 - 904*g**3 wrt g?\n' | b'-10446*g\n' | b'What is the second derivative of -19*g**3 - 525*g**3 - 437*g - 293*g**3 - 904*g**3 wrt g?\n' | b'-10446*g\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 9, w: 2, g: 4, d: 4, x: 1}. Give prob of picking 3 o.\n' | b'7/95\n' | b'Three letters picked without replacement from {o: 9, w: 2, g: 4, d: 4, x: 1}. Give prob of picking 3 o.\n' | b'7/95\n' | deepmind/math_dataset |
b'Simplify ((c**(3/4))**15)**(-7)*((c/(c*c**(-2/7)*c))/c)**(2/27)*(c/(c/(c/((c/(c*c**1))/c))))/(((c*c/(c**(-2/7)/c))/c)/c) assuming c is positive.\n' | b'c**(-19445/252)\n' | b'Simplify ((c**(3/4))**15)**(-7)*((c/(c*c**(-2/7)*c))/c)**(2/27)*(c/(c/(c/((c/(c*c**1))/c))))/(((c*c/(c**(-2/7)/c))/c)/c) assuming c is positive.\n' | b'c**(-19445/252)\n' | deepmind/math_dataset |
b'Let u(x) = x**3 + 2*x**2 - 4*x - 4. Let d = -49 - -46. Determine u(d).\n' | b'-1\n' | b'Let u(x) = x**3 + 2*x**2 - 4*x - 4. Let d = -49 - -46. Determine u(d).\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 6, j: 2}. Give prob of picking 4 j.\n' | b'0\n' | b'Four letters picked without replacement from {v: 6, j: 2}. Give prob of picking 4 j.\n' | b'0\n' | deepmind/math_dataset |
b'Let s(m) = 663*m + m**3 - 700*m**2 - 5 + 690*m**2 - 639*m. Determine s(3).\n' | b'4\n' | b'Let s(m) = 663*m + m**3 - 700*m**2 - 5 + 690*m**2 - 639*m. Determine s(3).\n' | b'4\n' | deepmind/math_dataset |
b'Let p be 3*-4*3/(-18). Suppose 4*t + 4*v = 0, p*t + 5*v - 3 = -0*t. Let w be 2 + 0 + 0/t. Solve 0 = 3*z + 2*z - 3*m + 19, -3*z - w*m = 0 for z.\n' | b'-2\n' | b'Let p be 3*-4*3/(-18). Suppose 4*t + 4*v = 0, p*t + 5*v - 3 = -0*t. Let w be 2 + 0 + 0/t. Solve 0 = 3*z + 2*z - 3*m + 19, -3*z - w*m = 0 for z.\n' | b'-2\n' | deepmind/math_dataset |
b'Let i(s) be the second derivative of 67/2*s**2 + 1/3*s**3 + 116*s + 1/6*s**4 + 0. What is the first derivative of i(b) wrt b?\n' | b'4*b + 2\n' | b'Let i(s) be the second derivative of 67/2*s**2 + 1/3*s**3 + 116*s + 1/6*s**4 + 0. What is the first derivative of i(b) wrt b?\n' | b'4*b + 2\n' | deepmind/math_dataset |
b'Let a = 102 + -94. Suppose -3*m - 4*k = -a*k - 129, -2*m - 5*k + 86 = 0. Let t = m + -39. Solve q = -2*c - 6, -4*c - 3 = t*q + 1 for c.\n' | b'-5\n' | b'Let a = 102 + -94. Suppose -3*m - 4*k = -a*k - 129, -2*m - 5*k + 86 = 0. Let t = m + -39. Solve q = -2*c - 6, -4*c - 3 = t*q + 1 for c.\n' | b'-5\n' | deepmind/math_dataset |
b'Let i(m) = 3*m**2 + 17. Let d be i(-6). Let h(f) = 120*f + f**2 - 252*f + 1 + d*f. Calculate h(6).\n' | b'-5\n' | b'Let i(m) = 3*m**2 + 17. Let d be i(-6). Let h(f) = 120*f + f**2 - 252*f + 1 + d*f. Calculate h(6).\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 1, e: 8, f: 1, o: 1, v: 2, q: 2}. Give prob of sequence qv.\n' | b'2/105\n' | b'Two letters picked without replacement from {r: 1, e: 8, f: 1, o: 1, v: 2, q: 2}. Give prob of sequence qv.\n' | b'2/105\n' | deepmind/math_dataset |
b'What is prob of sequence qqz when three letters picked without replacement from zzzzzzqqzzzzzzqqqzq?\n' | b'65/969\n' | b'What is prob of sequence qqz when three letters picked without replacement from zzzzzzqqzzzzzzqqqzq?\n' | b'65/969\n' | deepmind/math_dataset |
b'Simplify ((l*l*l**(-2/9)*l*l)/l)**48/(l**(5/14)*((((l/((l*l/(l/(l*l**13/l*l)))/l))/l)/l)/l)/l) assuming l is positive.\n' | b'l**(6299/42)\n' | b'Simplify ((l*l*l**(-2/9)*l*l)/l)**48/(l**(5/14)*((((l/((l*l/(l/(l*l**13/l*l)))/l))/l)/l)/l)/l) assuming l is positive.\n' | b'l**(6299/42)\n' | deepmind/math_dataset |
b'Suppose 6*s + 7 - 31 = 0. Suppose -9*j = s*j - j. Solve -2*o - o = -4*c + 20, j = -3*c - 3*o - 6 for c.\n' | b'2\n' | b'Suppose 6*s + 7 - 31 = 0. Suppose -9*j = s*j - j. Solve -2*o - o = -4*c + 20, j = -3*c - 3*o - 6 for c.\n' | b'2\n' | deepmind/math_dataset |
b'Let n(h) = -10*h - 81. Let g be n(-8). Let f be 1 + g - -3 - 1. Solve 5*v - 4*q = 7, 2*q - q - f = 0 for v.\n' | b'3\n' | b'Let n(h) = -10*h - 81. Let g be n(-8). Let f be 1 + g - -3 - 1. Solve 5*v - 4*q = 7, 2*q - q - f = 0 for v.\n' | b'3\n' | deepmind/math_dataset |
b'Let m = 11 + -7. Let s be (-3)/(-12) - (-7)/m. Solve 5 = -f + 2*q, 2*f + 1 = -3*q - s for f.\n' | b'-3\n' | b'Let m = 11 + -7. Let s be (-3)/(-12) - (-7)/m. Solve 5 = -f + 2*q, 2*f + 1 = -3*q - s for f.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence nan when three letters picked without replacement from {n: 10, a: 2}?\n' | b'3/22\n' | b'What is prob of sequence nan when three letters picked without replacement from {n: 10, a: 2}?\n' | b'3/22\n' | deepmind/math_dataset |
b'Let k be 76/(-20) + 1/(-5). Let d = k - -7. Differentiate 2 + s**d - 6 + 2 wrt s.\n' | b'3*s**2\n' | b'Let k be 76/(-20) + 1/(-5). Let d = k - -7. Differentiate 2 + s**d - 6 + 2 wrt s.\n' | b'3*s**2\n' | deepmind/math_dataset |
b'Let l = 21 - 18. Let z(r) = 6*r - 1. Let i(p) = p. Let x(y) = -3*i(y) + z(y). Determine x(l).\n' | b'8\n' | b'Let l = 21 - 18. Let z(r) = 6*r - 1. Let i(p) = p. Let x(y) = -3*i(y) + z(y). Determine x(l).\n' | b'8\n' | deepmind/math_dataset |
b'Suppose 5 = 2*x + b - 0, -20 = -2*x + 2*b. What is the second derivative of -21*d + 19*d**x + 2495*d**2 - 2495*d**2 wrt d?\n' | b'380*d**3\n' | b'Suppose 5 = 2*x + b - 0, -20 = -2*x + 2*b. What is the second derivative of -21*d + 19*d**x + 2495*d**2 - 2495*d**2 wrt d?\n' | b'380*d**3\n' | deepmind/math_dataset |
b'Simplify ((i/i**(1/9)*i)/((i/(i*(i**(-10/13)*i)/i))/i))**28 assuming i is positive.\n' | b'i**(6944/117)\n' | b'Simplify ((i/i**(1/9)*i)/((i/(i*(i**(-10/13)*i)/i))/i))**28 assuming i is positive.\n' | b'i**(6944/117)\n' | deepmind/math_dataset |
b'Let n(d) be the third derivative of d**10/5040 - d**6/180 - d**3/2 + d**2. Let p(s) be the first derivative of n(s). What is the third derivative of p(f) wrt f?\n' | b'120*f**3\n' | b'Let n(d) be the third derivative of d**10/5040 - d**6/180 - d**3/2 + d**2. Let p(s) be the first derivative of n(s). What is the third derivative of p(f) wrt f?\n' | b'120*f**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 p when two letters picked without replacement from {n: 1, b: 4, p: 2, d: 3, l: 2}.\n' | b'1/66\n' | b'Calculate prob of picking 2 p when two letters picked without replacement from {n: 1, b: 4, p: 2, d: 3, l: 2}.\n' | b'1/66\n' | deepmind/math_dataset |
b'Simplify ((a**2/(a/(a**3/a)*a))/((a*(a**(-4)*a)/a)/(a/a**(-3))))/(a**(-1)/(a/a**2)*a**(-3)/a*a**(-6)) assuming a is positive.\n' | b'a**19\n' | b'Simplify ((a**2/(a/(a**3/a)*a))/((a*(a**(-4)*a)/a)/(a/a**(-3))))/(a**(-1)/(a/a**2)*a**(-3)/a*a**(-6)) assuming a is positive.\n' | b'a**19\n' | deepmind/math_dataset |
b'Let t(i) = -i + 1. Let h be t(-1). Let b be (h - (-12)/(-9))*21. Solve 5*a + b = r, 2*a = -r - 3*r - 10 for a.\n' | b'-3\n' | b'Let t(i) = -i + 1. Let h be t(-1). Let b be (h - (-12)/(-9))*21. Solve 5*a + b = r, 2*a = -r - 3*r - 10 for a.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (g**4)**(-1/60)/((g/(g**4/g)*g)/(((g/(g**(1/16)/g))/g*g)/g)) assuming g is positive.\n' | b'g**(449/240)\n' | b'Simplify (g**4)**(-1/60)/((g/(g**4/g)*g)/(((g/(g**(1/16)/g))/g*g)/g)) assuming g is positive.\n' | b'g**(449/240)\n' | deepmind/math_dataset |
b'Let y(n) be the first derivative of -n**3/3 - 5*n**2/2 - 2*n + 2. Let d be y(-3). Solve -4*k - 2 = -d*v + 6, -2*v = -4 for k.\n' | b'0\n' | b'Let y(n) be the first derivative of -n**3/3 - 5*n**2/2 - 2*n + 2. Let d be y(-3). Solve -4*k - 2 = -d*v + 6, -2*v = -4 for k.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of sequence epe when three letters picked without replacement from uupugekeebeg?\n' | b'1/110\n' | b'What is prob of sequence epe when three letters picked without replacement from uupugekeebeg?\n' | b'1/110\n' | deepmind/math_dataset |
b'Let u(c) be the second derivative of c**5/20 + c**4/3 - 4*c**3/3 - 7*c**2/2 + 10*c. What is u(-5)?\n' | b'8\n' | b'Let u(c) be the second derivative of c**5/20 + c**4/3 - 4*c**3/3 - 7*c**2/2 + 10*c. What is u(-5)?\n' | b'8\n' | deepmind/math_dataset |
b'Calculate prob of sequence nkwv when four letters picked without replacement from {d: 1, w: 1, n: 1, b: 1, k: 2, v: 1}.\n' | b'1/420\n' | b'Calculate prob of sequence nkwv when four letters picked without replacement from {d: 1, w: 1, n: 1, b: 1, k: 2, v: 1}.\n' | b'1/420\n' | deepmind/math_dataset |
b'Let p(f) = 4*f**3 + 4*f**2 + 5*f - 3. Let i(k) = -11*k**3 - 11*k**2 - 14*k + 8. Let m(h) = -3*i(h) - 8*p(h). Determine m(-2).\n' | b'-8\n' | b'Let p(f) = 4*f**3 + 4*f**2 + 5*f - 3. Let i(k) = -11*k**3 - 11*k**2 - 14*k + 8. Let m(h) = -3*i(h) - 8*p(h). Determine m(-2).\n' | b'-8\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 4}. What is prob of picking 4 g?\n' | b'1\n' | b'Four letters picked without replacement from {g: 4}. What is prob of picking 4 g?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -2*q = 1 - 9. Suppose 0 = -d - q, 4*m + 4*d - d - 8 = 0. Differentiate 0*t**4 + m - 1 - t**4 wrt t.\n' | b'-4*t**3\n' | b'Suppose -2*q = 1 - 9. Suppose 0 = -d - q, 4*m + 4*d - d - 8 = 0. Differentiate 0*t**4 + m - 1 - t**4 wrt t.\n' | b'-4*t**3\n' | deepmind/math_dataset |
b'Simplify (a**7/(a/a**(1/6))*a**(-1/16)/a*a**(-5))**21 assuming a is positive.\n' | b'a**(35/16)\n' | b'Simplify (a**7/(a/a**(1/6))*a**(-1/16)/a*a**(-5))**21 assuming a is positive.\n' | b'a**(35/16)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wwww. What is prob of picking 2 w?\n' | b'1\n' | b'Two letters picked without replacement from wwww. What is prob of picking 2 w?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 23*b = -31*b. Solve 4*a - 24 = -4*y, 3*y - 5*a - 2 + 8 = b for y.\n' | b'3\n' | b'Suppose 23*b = -31*b. Solve 4*a - 24 = -4*y, 3*y - 5*a - 2 + 8 = b for y.\n' | b'3\n' | deepmind/math_dataset |
b'Let l(f) = -f + 5. Let o = -1 + 113. Suppose -15*w + o = -19*w. Let x = w - -22. Determine l(x).\n' | b'11\n' | b'Let l(f) = -f + 5. Let o = -1 + 113. Suppose -15*w + o = -19*w. Let x = w - -22. Determine l(x).\n' | b'11\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t and 1 i when two letters picked without replacement from {a: 1, z: 7, t: 5, i: 1}.\n' | b'5/91\n' | b'Calculate prob of picking 1 t and 1 i when two letters picked without replacement from {a: 1, z: 7, t: 5, i: 1}.\n' | b'5/91\n' | deepmind/math_dataset |
b'Calculate prob of sequence mqr when three letters picked without replacement from urqbquoqmuqrq.\n' | b'5/858\n' | b'Calculate prob of sequence mqr when three letters picked without replacement from urqbquoqmuqrq.\n' | b'5/858\n' | deepmind/math_dataset |
b'Let t = 4 - -1. Let y = 279 - 277. Solve 0*u = -5*u + y*g + 2, -5*u = -t*g - 5 for u.\n' | b'0\n' | b'Let t = 4 - -1. Let y = 279 - 277. Solve 0*u = -5*u + y*g + 2, -5*u = -t*g - 5 for u.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of sequence yybb when four letters picked without replacement from {b: 3, y: 4, n: 4}?\n' | b'1/110\n' | b'What is prob of sequence yybb when four letters picked without replacement from {b: 3, y: 4, n: 4}?\n' | b'1/110\n' | deepmind/math_dataset |
b'Let q be 501/48*4 + (-6)/8. Find the second derivative of -4*p + 20*p**4 + 19*p**4 + 0*p - q*p**4 wrt p.\n' | b'-24*p**2\n' | b'Let q be 501/48*4 + (-6)/8. Find the second derivative of -4*p + 20*p**4 + 19*p**4 + 0*p - q*p**4 wrt p.\n' | b'-24*p**2\n' | deepmind/math_dataset |
b'Simplify (l**(-3/7)/l*l*l**4*l*(l*l*l/(l**(2/39)/l)*l)/(l**(-7/2)*l))**(-7/4) assuming l is positive.\n' | b'l**(-6563/312)\n' | b'Simplify (l**(-3/7)/l*l*l**4*l*(l*l*l/(l**(2/39)/l)*l)/(l**(-7/2)*l))**(-7/4) assuming l is positive.\n' | b'l**(-6563/312)\n' | deepmind/math_dataset |
b'Let g(x) = -x - 6. Let n be g(-3). Let l(a) be the second derivative of a**4/12 + a**3/6 + 3*a**2/2 - 2*a. Determine l(n).\n' | b'9\n' | b'Let g(x) = -x - 6. Let n be g(-3). Let l(a) be the second derivative of a**4/12 + a**3/6 + 3*a**2/2 - 2*a. Determine l(n).\n' | b'9\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 1, x: 2, m: 3, o: 1, j: 12}. What is prob of sequence opm?\n' | b'1/1938\n' | b'Three letters picked without replacement from {p: 1, x: 2, m: 3, o: 1, j: 12}. What is prob of sequence opm?\n' | b'1/1938\n' | deepmind/math_dataset |
b'Let d(a) = -a**3 - a**2 - a + 1. Let z(w) = -3*w**3 - 5*w**2 - 12*w + 5. Let u(f) = -10*d(f) + 2*z(f). Find the second derivative of u(r) wrt r.\n' | b'24*r\n' | b'Let d(a) = -a**3 - a**2 - a + 1. Let z(w) = -3*w**3 - 5*w**2 - 12*w + 5. Let u(f) = -10*d(f) + 2*z(f). Find the second derivative of u(r) wrt r.\n' | b'24*r\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 l when two letters picked without replacement from glgllglgggg.\n' | b'6/55\n' | b'Calculate prob of picking 2 l when two letters picked without replacement from glgllglgggg.\n' | b'6/55\n' | deepmind/math_dataset |
b'Let v = -78 + 82. Suppose -v*r = -36 + 16. Suppose -2*t = -4, m - r*t = 2*m - 2. Let h(a) = -a. What is h(m)?\n' | b'8\n' | b'Let v = -78 + 82. Suppose -v*r = -36 + 16. Suppose -2*t = -4, m - r*t = 2*m - 2. Let h(a) = -a. What is h(m)?\n' | b'8\n' | deepmind/math_dataset |
b'Simplify h**(15/7)/(h/((h*h/(h/(h*h**(-4/13))*h*h)*h)/h)) assuming h is positive.\n' | b'h**(76/91)\n' | b'Simplify h**(15/7)/(h/((h*h/(h/(h*h**(-4/13))*h*h)*h)/h)) assuming h is positive.\n' | b'h**(76/91)\n' | deepmind/math_dataset |
b'Simplify (m**3*m*(m/(m*m/m**9*m))/m*(m*m*m/(m*m*m**2))**(1/39))**(-23) assuming m is positive.\n' | b'm**(-8947/39)\n' | b'Simplify (m**3*m*(m/(m*m/m**9*m))/m*(m*m*m/(m*m*m**2))**(1/39))**(-23) assuming m is positive.\n' | b'm**(-8947/39)\n' | deepmind/math_dataset |
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