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 h(r) = 3*r**3 - 6*r**2 - 25*r - 11. Let c(i) = 5*i**3 - 12*i**2 - 46*i - 20. Let v(l) = -4*c(l) + 7*h(l). Determine v(-5).\n' | b'-17\n' | b'Let h(r) = 3*r**3 - 6*r**2 - 25*r - 11. Let c(i) = 5*i**3 - 12*i**2 - 46*i - 20. Let v(l) = -4*c(l) + 7*h(l). Determine v(-5).\n' | b'-17\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 2, l: 2, j: 2}. What is prob of sequence jzjl?\n' | b'1/45\n' | b'Four letters picked without replacement from {z: 2, l: 2, j: 2}. What is prob of sequence jzjl?\n' | b'1/45\n' | deepmind/math_dataset |
b'Suppose t + 17*t = 18. Let a(h) = -3*h + 1. Let c(p) = -7*p + 3. Let y(g) = -5*a(g) + 2*c(g). Give y(t).\n' | b'2\n' | b'Suppose t + 17*t = 18. Let a(h) = -3*h + 1. Let c(p) = -7*p + 3. Let y(g) = -5*a(g) + 2*c(g). Give y(t).\n' | b'2\n' | deepmind/math_dataset |
b'What is the first derivative of 2*f + 1 + 0*f - 1 - 1 wrt f?\n' | b'2\n' | b'What is the first derivative of 2*f + 1 + 0*f - 1 - 1 wrt f?\n' | b'2\n' | deepmind/math_dataset |
b'Let b(l) be the second derivative of 109*l**8/14 + 203*l**4/12 - 51*l + 3. What is the third derivative of b(w) wrt w?\n' | b'52320*w**3\n' | b'Let b(l) be the second derivative of 109*l**8/14 + 203*l**4/12 - 51*l + 3. What is the third derivative of b(w) wrt w?\n' | b'52320*w**3\n' | deepmind/math_dataset |
b'Simplify (j*j*j/(j*(j**(2/7)*j*j*j)/j))**(-5) assuming j is positive.\n' | b'j**(10/7)\n' | b'Simplify (j*j*j/(j*(j**(2/7)*j*j*j)/j))**(-5) assuming j is positive.\n' | b'j**(10/7)\n' | deepmind/math_dataset |
b'Let s = -96 - -48. Let a be ((-3)/12)/(4/s). Solve -19 = -5*p + a*v, -3 - 4 = -2*p + v for p.\n' | b'2\n' | b'Let s = -96 - -48. Let a be ((-3)/12)/(4/s). Solve -19 = -5*p + a*v, -3 - 4 = -2*p + v for p.\n' | b'2\n' | deepmind/math_dataset |
b'Find the first derivative of -349*f**3 + 39 - 2*f**4 + 38 + 356*f**3 wrt f.\n' | b'-8*f**3 + 21*f**2\n' | b'Find the first derivative of -349*f**3 + 39 - 2*f**4 + 38 + 356*f**3 wrt f.\n' | b'-8*f**3 + 21*f**2\n' | deepmind/math_dataset |
b'Let c(t) = t - 1. Let n be 7 + (-1)/1*(2 - (8 + -15)). Let v(d) be the third derivative of d**4/24 + d**2. Let q(x) = n*v(x) + c(x). Calculate q(0).\n' | b'-1\n' | b'Let c(t) = t - 1. Let n be 7 + (-1)/1*(2 - (8 + -15)). Let v(d) be the third derivative of d**4/24 + d**2. Let q(x) = n*v(x) + c(x). Calculate q(0).\n' | b'-1\n' | deepmind/math_dataset |
b'Let t be (-1 - 16)*(-30 + 25). Suppose 0 = -c - 5*f + 29, -13*c - 5*f + t = -8*c. Solve 7*m - 3*m + j = c, j = 2 for m.\n' | b'3\n' | b'Let t be (-1 - 16)*(-30 + 25). Suppose 0 = -c - 5*f + 29, -13*c - 5*f + t = -8*c. Solve 7*m - 3*m + j = c, j = 2 for m.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((((d/(d**1*d))/d)**(-12/13)/((d**(-4/3)*d*d)/(d**1*d)))**(3/8))**30 assuming d is positive.\n' | b'd**(465/13)\n' | b'Simplify ((((d/(d**1*d))/d)**(-12/13)/((d**(-4/3)*d*d)/(d**1*d)))**(3/8))**30 assuming d is positive.\n' | b'd**(465/13)\n' | deepmind/math_dataset |
b'Suppose q = 4*q + v + 65, -2*v = -4*q - 90. Let y = -20 - q. Solve y*f - 2*r - 8 = 0, 0*r + 2*r = -f - 5 for f.\n' | b'1\n' | b'Suppose q = 4*q + v + 65, -2*v = -4*q - 90. Let y = -20 - q. Solve y*f - 2*r - 8 = 0, 0*r + 2*r = -f - 5 for f.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 13, o: 5}. What is prob of sequence mo?\n' | b'65/306\n' | b'Two letters picked without replacement from {m: 13, o: 5}. What is prob of sequence mo?\n' | b'65/306\n' | deepmind/math_dataset |
b'Simplify x**3/(x*x**(-4))*(x/(x*(x**(-1/3)/x*x)/x))**(-21/5) assuming x is positive.\n' | b'x**(2/5)\n' | b'Simplify x**3/(x*x**(-4))*(x/(x*(x**(-1/3)/x*x)/x))**(-21/5) assuming x is positive.\n' | b'x**(2/5)\n' | deepmind/math_dataset |
b'Find the second derivative of -11*p**4 + 11*p**4 + 18*p**4 + 8*p wrt p.\n' | b'216*p**2\n' | b'Find the second derivative of -11*p**4 + 11*p**4 + 18*p**4 + 8*p wrt p.\n' | b'216*p**2\n' | deepmind/math_dataset |
b'Suppose c + i = 2, 3*c + 5*i + 8 = 9*i. Let m(f) = 2*f + 3. Let z be m(c). Solve -4*d + 6 + 18 = -z*r, 20 = 4*d - 2*r for d.\n' | b'3\n' | b'Suppose c + i = 2, 3*c + 5*i + 8 = 9*i. Let m(f) = 2*f + 3. Let z be m(c). Solve -4*d + 6 + 18 = -z*r, 20 = 4*d - 2*r for d.\n' | b'3\n' | deepmind/math_dataset |
b'Let c be (0 - -4)/(2 + -1). Let g be c/10 - 36/(-10). Suppose g*o - 120 = -o. Solve 2*l + 4 = -b - b, 0 = 4*l - 4*b + o for l.\n' | b'-4\n' | b'Let c be (0 - -4)/(2 + -1). Let g be c/10 - 36/(-10). Suppose g*o - 120 = -o. Solve 2*l + 4 = -b - b, 0 = 4*l - 4*b + o for l.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of picking 2 g when two letters picked without replacement from ggwgnnh?\n' | b'1/7\n' | b'What is prob of picking 2 g when two letters picked without replacement from ggwgnnh?\n' | b'1/7\n' | deepmind/math_dataset |
b'What is the second derivative of 800*b**2 - 24*b**2 + 55*b**2 + 1229*b**2 - 1576*b wrt b?\n' | b'4120\n' | b'What is the second derivative of 800*b**2 - 24*b**2 + 55*b**2 + 1229*b**2 - 1576*b wrt b?\n' | b'4120\n' | deepmind/math_dataset |
b'Simplify (u/u**(-3/7))/((u**(2/29)*u*u)/u)*(u**(-5/6)/u)/(u*u/(u*u**(-14)*u)*u) assuming u is positive.\n' | b'u**(-20065/1218)\n' | b'Simplify (u/u**(-3/7))/((u**(2/29)*u*u)/u)*(u**(-5/6)/u)/(u*u/(u*u**(-14)*u)*u) assuming u is positive.\n' | b'u**(-20065/1218)\n' | deepmind/math_dataset |
b'Suppose -10*j - 146 = -8*j. Let z = 105 + j. What is the third derivative of z*h**4 + 47*h**2 - 127*h**2 + 54*h**2 wrt h?\n' | b'768*h\n' | b'Suppose -10*j - 146 = -8*j. Let z = 105 + j. What is the third derivative of z*h**4 + 47*h**2 - 127*h**2 + 54*h**2 wrt h?\n' | b'768*h\n' | deepmind/math_dataset |
b'Simplify ((((y*y/y**(4/5))/(y*y**(-3)))/((y*y*y**4*y)/(y*y**(-1/3))))**(-1/23))**(-17) assuming y is positive.\n' | b'y**(-799/345)\n' | b'Simplify ((((y*y/y**(4/5))/(y*y**(-3)))/((y*y*y**4*y)/(y*y**(-1/3))))**(-1/23))**(-17) assuming y is positive.\n' | b'y**(-799/345)\n' | deepmind/math_dataset |
b'Find the third derivative of -1119 + 2369*d**3 + 1119 - 3964*d**2 wrt d.\n' | b'14214\n' | b'Find the third derivative of -1119 + 2369*d**3 + 1119 - 3964*d**2 wrt d.\n' | b'14214\n' | deepmind/math_dataset |
b'Let d(b) = -2*b**2 - 23*b - 12. Let u be d(-11). Let g be 8/(-40)*(1 - (0 - u)). Solve 3*s - 4*m - 7 = g, 0 = 3*s + s - 4*m - 4 for s.\n' | b'-3\n' | b'Let d(b) = -2*b**2 - 23*b - 12. Let u be d(-11). Let g be 8/(-40)*(1 - (0 - u)). Solve 3*s - 4*m - 7 = g, 0 = 3*s + s - 4*m - 4 for s.\n' | b'-3\n' | deepmind/math_dataset |
b'Let h(p) = -34*p + 3. Let m be h(-1). What is the first derivative of 1547*n - 12*n**2 - 1547*n + m wrt n?\n' | b'-24*n\n' | b'Let h(p) = -34*p + 3. Let m be h(-1). What is the first derivative of 1547*n - 12*n**2 - 1547*n + m wrt n?\n' | b'-24*n\n' | deepmind/math_dataset |
b'Let w = -40 - -45. Solve -k + w*b = -16, -2*k + k + 3*b + 8 = 0 for k.\n' | b'-4\n' | b'Let w = -40 - -45. Solve -k + w*b = -16, -2*k + k + 3*b + 8 = 0 for k.\n' | b'-4\n' | deepmind/math_dataset |
b'Let s be (2/(-3))/(10/(-15)). Let h(p) = 4*p. Calculate h(s).\n' | b'4\n' | b'Let s be (2/(-3))/(10/(-15)). Let h(p) = 4*p. Calculate h(s).\n' | b'4\n' | deepmind/math_dataset |
b'Let n(v) = 4*v**2 + v + v**3 + 4 - 13 - v**2 + 2*v**2. Let h be n(-3). Find the third derivative of 49*a**6 - 11*a**2 - 30*a**6 + 15*a**h wrt a.\n' | b'4080*a**3\n' | b'Let n(v) = 4*v**2 + v + v**3 + 4 - 13 - v**2 + 2*v**2. Let h be n(-3). Find the third derivative of 49*a**6 - 11*a**2 - 30*a**6 + 15*a**h wrt a.\n' | b'4080*a**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xcplxxxxcxcxxxxnxb. What is prob of picking 2 c?\n' | b'1/51\n' | b'Two letters picked without replacement from xcplxxxxcxcxxxxnxb. What is prob of picking 2 c?\n' | b'1/51\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 d, 1 z, and 1 r when three letters picked without replacement from rljlpzljjrjplpdrl.\n' | b'3/680\n' | b'Calculate prob of picking 1 d, 1 z, and 1 r when three letters picked without replacement from rljlpzljjrjplpdrl.\n' | b'3/680\n' | deepmind/math_dataset |
b'Let g(f) = f**2 + f + 1. Let s(d) = d**3 - 11*d**2 - 7. Let w(p) = -5*g(p) - s(p). Give w(3).\n' | b'14\n' | b'Let g(f) = f**2 + f + 1. Let s(d) = d**3 - 11*d**2 - 7. Let w(p) = -5*g(p) - s(p). Give w(3).\n' | b'14\n' | deepmind/math_dataset |
b'Suppose 0 = 6*k + k + 602. Let z = k - -90. Solve 0 = -z*o - 2*w - 0 + 20, 3*w - 15 = -3*o for o.\n' | b'5\n' | b'Suppose 0 = 6*k + k + 602. Let z = k - -90. Solve 0 = -z*o - 2*w - 0 + 20, 3*w - 15 = -3*o for o.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of picking 1 v and 1 i when two letters picked without replacement from {i: 1, v: 1, l: 2, q: 2, n: 1}?\n' | b'1/21\n' | b'What is prob of picking 1 v and 1 i when two letters picked without replacement from {i: 1, v: 1, l: 2, q: 2, n: 1}?\n' | b'1/21\n' | deepmind/math_dataset |
b'Three letters picked without replacement from unun. What is prob of sequence unn?\n' | b'1/6\n' | b'Three letters picked without replacement from unun. What is prob of sequence unn?\n' | b'1/6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 3, r: 5}. What is prob of sequence rrw?\n' | b'5/28\n' | b'Three letters picked without replacement from {w: 3, r: 5}. What is prob of sequence rrw?\n' | b'5/28\n' | deepmind/math_dataset |
b'Let l be -6 - 128/(-20) - (-12)/(-5). Let y(j) = -8*j**2 + j. Let z(n) = 10*n**2 - n + 1. Let h(v) = l*z(v) - 3*y(v). Determine h(-2).\n' | b'16\n' | b'Let l be -6 - 128/(-20) - (-12)/(-5). Let y(j) = -8*j**2 + j. Let z(n) = 10*n**2 - n + 1. Let h(v) = l*z(v) - 3*y(v). Determine h(-2).\n' | b'16\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bfffbaiwwbb. Give prob of sequence ww.\n' | b'1/55\n' | b'Two letters picked without replacement from bfffbaiwwbb. Give prob of sequence ww.\n' | b'1/55\n' | deepmind/math_dataset |
b'Let r(z) be the first derivative of -12*z**5/5 + 10*z + 10. Find the first derivative of r(f) wrt f.\n' | b'-48*f**3\n' | b'Let r(z) be the first derivative of -12*z**5/5 + 10*z + 10. Find the first derivative of r(f) wrt f.\n' | b'-48*f**3\n' | deepmind/math_dataset |
b'Let t = -18 - -16. Let y be (2 + 1)*6/t. Let c = -5 - y. Solve 5*z - c*z = 3*r - 4, 2*z - 10 = 0 for r.\n' | b'3\n' | b'Let t = -18 - -16. Let y be (2 + 1)*6/t. Let c = -5 - y. Solve 5*z - c*z = 3*r - 4, 2*z - 10 = 0 for r.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (s/(s*(s*((s**(-2/7)/s)/s)/s)/s))**24/(s**(3/4)/s**(-3)) assuming s is positive.\n' | b's**(2103/28)\n' | b'Simplify (s/(s*(s*((s**(-2/7)/s)/s)/s)/s))**24/(s**(3/4)/s**(-3)) assuming s is positive.\n' | b's**(2103/28)\n' | deepmind/math_dataset |
b'Simplify ((z**3)**(-4/7)/((z/z**15)/(z*z/(z*z**14)*z)))**(2/11) assuming z is positive.\n' | b'z**(4/77)\n' | b'Simplify ((z**3)**(-4/7)/((z/z**15)/(z*z/(z*z**14)*z)))**(2/11) assuming z is positive.\n' | b'z**(4/77)\n' | deepmind/math_dataset |
b'Let g(c) = 3*c**2 - c - 7. Let z be -6 + (2 - (-11 + 4)). Determine g(z).\n' | b'17\n' | b'Let g(c) = 3*c**2 - c - 7. Let z be -6 + (2 - (-11 + 4)). Determine g(z).\n' | b'17\n' | deepmind/math_dataset |
b'What is prob of sequence afaf when four letters picked without replacement from faaafafaaaafaaaaaaaa?\n' | b'8/323\n' | b'What is prob of sequence afaf when four letters picked without replacement from faaafafaaaafaaaaaaaa?\n' | b'8/323\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 2, t: 3, a: 1, d: 2, l: 4, n: 2}. What is prob of sequence xdx?\n' | b'1/546\n' | b'Three letters picked without replacement from {x: 2, t: 3, a: 1, d: 2, l: 4, n: 2}. What is prob of sequence xdx?\n' | b'1/546\n' | deepmind/math_dataset |
b'Suppose 4*j - 27 = -5*g, 24 = 5*j + g + 2*g. Let v be ((-24)/(-2))/j - 0. Find the third derivative of -y**4 - v*y**2 + 0*y**2 + 3*y**4 wrt y.\n' | b'48*y\n' | b'Suppose 4*j - 27 = -5*g, 24 = 5*j + g + 2*g. Let v be ((-24)/(-2))/j - 0. Find the third derivative of -y**4 - v*y**2 + 0*y**2 + 3*y**4 wrt y.\n' | b'48*y\n' | deepmind/math_dataset |
b'Let g(z) be the third derivative of z**4/24 + 5*z**3/6 - 5*z**2. Let s be g(-5). Let u(q) = q - 3. Calculate u(s).\n' | b'-3\n' | b'Let g(z) be the third derivative of z**4/24 + 5*z**3/6 - 5*z**2. Let s be g(-5). Let u(q) = q - 3. Calculate u(s).\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 2*i = 105 - 89. Solve 4*u + i = 2*n, 0 = -5*u + 4*n - 9 - 1 for u.\n' | b'-2\n' | b'Suppose 2*i = 105 - 89. Solve 4*u + i = 2*n, 0 = -5*u + 4*n - 9 - 1 for u.\n' | b'-2\n' | deepmind/math_dataset |
b'Let t(k) be the second derivative of 4*k**7/21 + 53*k**6/15 - 59*k**3/2 - 545*k. What is the second derivative of t(v) wrt v?\n' | b'160*v**3 + 1272*v**2\n' | b'Let t(k) be the second derivative of 4*k**7/21 + 53*k**6/15 - 59*k**3/2 - 545*k. What is the second derivative of t(v) wrt v?\n' | b'160*v**3 + 1272*v**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 4, z: 6, u: 1, c: 3}. What is prob of picking 2 z?\n' | b'15/91\n' | b'Two letters picked without replacement from {p: 4, z: 6, u: 1, c: 3}. What is prob of picking 2 z?\n' | b'15/91\n' | deepmind/math_dataset |
b'What is the third derivative of -3*z**2 - 4*z**6 - 7*z**6 + 0*z**2 wrt z?\n' | b'-1320*z**3\n' | b'What is the third derivative of -3*z**2 - 4*z**6 - 7*z**6 + 0*z**2 wrt z?\n' | b'-1320*z**3\n' | deepmind/math_dataset |
b'Let n(g) = -3*g**3 - g**2 + 3*g - 4. Let c(o) = -o - 12. Let z be c(-16). Let f(y) = y**3 - y + 1. Let u(q) = z*f(q) + n(q). Determine u(0).\n' | b'0\n' | b'Let n(g) = -3*g**3 - g**2 + 3*g - 4. Let c(o) = -o - 12. Let z be c(-16). Let f(y) = y**3 - y + 1. Let u(q) = z*f(q) + n(q). Determine u(0).\n' | b'0\n' | deepmind/math_dataset |
b'Let h(f) = -f**2 - 7*f + 10. Let w be h(-8). Let z(x) = x**3 + 1. Let s be z(-1). Suppose s = 2*q + 1 - 7. Solve 5*i = 4*y + 5, -w*i + 5 = -y + q*i for y.\n' | b'0\n' | b'Let h(f) = -f**2 - 7*f + 10. Let w be h(-8). Let z(x) = x**3 + 1. Let s be z(-1). Suppose s = 2*q + 1 - 7. Solve 5*i = 4*y + 5, -w*i + 5 = -y + q*i for y.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence dddx when four letters picked without replacement from xddddxxxdxdxxd.\n' | b'35/572\n' | b'Calculate prob of sequence dddx when four letters picked without replacement from xddddxxxdxdxxd.\n' | b'35/572\n' | deepmind/math_dataset |
b'Simplify (h*h**(-1/5)*h)**29 assuming h is positive.\n' | b'h**(261/5)\n' | b'Simplify (h*h**(-1/5)*h)**29 assuming h is positive.\n' | b'h**(261/5)\n' | deepmind/math_dataset |
b'Let b(p) = -p**2 + 5*p - 7. Suppose -2*r - 2*k - 76 = -182, 5*r - 2*k - 244 = 0. Suppose 15*u = 5*u + r. Suppose 3*m = -4*w - 0*m + 26, m + 23 = u*w. Give b(w).\n' | b'-7\n' | b'Let b(p) = -p**2 + 5*p - 7. Suppose -2*r - 2*k - 76 = -182, 5*r - 2*k - 244 = 0. Suppose 15*u = 5*u + r. Suppose 3*m = -4*w - 0*m + 26, m + 23 = u*w. Give b(w).\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify (c/c**(-2/5)*c*c)**(-20/9) assuming c is positive.\n' | b'c**(-68/9)\n' | b'Simplify (c/c**(-2/5)*c*c)**(-20/9) assuming c is positive.\n' | b'c**(-68/9)\n' | deepmind/math_dataset |
b'Simplify (u**(-1/7)/u**(-4))**(5/11) assuming u is positive.\n' | b'u**(135/77)\n' | b'Simplify (u**(-1/7)/u**(-4))**(5/11) assuming u is positive.\n' | b'u**(135/77)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 1, a: 1, i: 1, c: 1, u: 2, h: 1}. What is prob of sequence hic?\n' | b'1/210\n' | b'Three letters picked without replacement from {b: 1, a: 1, i: 1, c: 1, u: 2, h: 1}. What is prob of sequence hic?\n' | b'1/210\n' | deepmind/math_dataset |
b'Suppose 2*r - 10 = -0*r. Let x = -273 - -392. Let g = -115 + x. Solve -5 = 3*y - r*j, g*j = 2 + 2 for y.\n' | b'0\n' | b'Suppose 2*r - 10 = -0*r. Let x = -273 - -392. Let g = -115 + x. Solve -5 = 3*y - r*j, g*j = 2 + 2 for y.\n' | b'0\n' | deepmind/math_dataset |
b'Let j be ((-36)/6)/(-1 + -1). Solve 0 = -j*i - 5*v - 13 - 12, -25 = 5*v for i.\n' | b'0\n' | b'Let j be ((-36)/6)/(-1 + -1). Solve 0 = -j*i - 5*v - 13 - 12, -25 = 5*v for i.\n' | b'0\n' | deepmind/math_dataset |
b'Let p(m) be the first derivative of -919*m**3 - 135*m**2/2 - 16*m + 3722. What is the second derivative of p(n) wrt n?\n' | b'-5514\n' | b'Let p(m) be the first derivative of -919*m**3 - 135*m**2/2 - 16*m + 3722. What is the second derivative of p(n) wrt n?\n' | b'-5514\n' | deepmind/math_dataset |
b'What is prob of sequence en when two letters picked without replacement from nreen?\n' | b'1/5\n' | b'What is prob of sequence en when two letters picked without replacement from nreen?\n' | b'1/5\n' | deepmind/math_dataset |
b'What is the third derivative of -24*a - 5*a**2 - a + 38*a**3 + 4*a + 39*a**3 wrt a?\n' | b'462\n' | b'What is the third derivative of -24*a - 5*a**2 - a + 38*a**3 + 4*a + 39*a**3 wrt a?\n' | b'462\n' | deepmind/math_dataset |
b'Simplify ((c**(-1/6)/(c/(c**(-2/3)/c)))/(c**(-2/3)*c)**21)/(((c**2/c)/(c/((c/(c*c*c**(1/3)*c))/c)))/((c*c*c*c**0*c)/c*c/c**(-6)*c)) assuming c is positive.\n' | b'c**(9/2)\n' | b'Simplify ((c**(-1/6)/(c/(c**(-2/3)/c)))/(c**(-2/3)*c)**21)/(((c**2/c)/(c/((c/(c*c*c**(1/3)*c))/c)))/((c*c*c*c**0*c)/c*c/c**(-6)*c)) assuming c is positive.\n' | b'c**(9/2)\n' | deepmind/math_dataset |
b'Let d(i) be the second derivative of i**3/6 - 12*i**2 + 6*i. Let v be d(12). Let u be (12 + v)/(-1 + 2). Solve 2*y - 10 = -u*s - 3*s, 0 = -5*s + 3*y + 4 for s.\n' | b'2\n' | b'Let d(i) be the second derivative of i**3/6 - 12*i**2 + 6*i. Let v be d(12). Let u be (12 + v)/(-1 + 2). Solve 2*y - 10 = -u*s - 3*s, 0 = -5*s + 3*y + 4 for s.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -3*z - y - 16 = -6*z, 3*y = 4*z - 23. Solve -d - 8 = -3*x + 1, z*x - 3*d = 19 for x.\n' | b'2\n' | b'Suppose -3*z - y - 16 = -6*z, 3*y = 4*z - 23. Solve -d - 8 = -3*x + 1, z*x - 3*d = 19 for x.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence iv when two letters picked without replacement from {v: 3, a: 3, i: 1, y: 7}?\n' | b'3/182\n' | b'What is prob of sequence iv when two letters picked without replacement from {v: 3, a: 3, i: 1, y: 7}?\n' | b'3/182\n' | deepmind/math_dataset |
b'Simplify (((u**40*u)/u)/u**(-41))/((u/(u/(u*(u**(2/73)*u)/u)))/u**26) assuming u is positive.\n' | b'u**(7736/73)\n' | b'Simplify (((u**40*u)/u)/u**(-41))/((u/(u/(u*(u**(2/73)*u)/u)))/u**26) assuming u is positive.\n' | b'u**(7736/73)\n' | deepmind/math_dataset |
b'Let i(w) = -w + 19. Let r be i(18). Solve -r = 3*p - 2*d, -4*d + 1 + 25 = 2*p for p.\n' | b'3\n' | b'Let i(w) = -w + 19. Let r be i(18). Solve -r = 3*p - 2*d, -4*d + 1 + 25 = 2*p for p.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 h when three letters picked without replacement from {h: 14, f: 4}.\n' | b'91/204\n' | b'Calculate prob of picking 3 h when three letters picked without replacement from {h: 14, f: 4}.\n' | b'91/204\n' | deepmind/math_dataset |
b'Let n(k) be the first derivative of -43*k**6/6 - 39*k**5/5 - k**3/3 + 131*k**2/2 - 3151. What is the third derivative of n(f) wrt f?\n' | b'-2580*f**2 - 936*f\n' | b'Let n(k) be the first derivative of -43*k**6/6 - 39*k**5/5 - k**3/3 + 131*k**2/2 - 3151. What is the third derivative of n(f) wrt f?\n' | b'-2580*f**2 - 936*f\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 f when two letters picked without replacement from effefffefdfeffffaaf.\n' | b'22/57\n' | b'Calculate prob of picking 2 f when two letters picked without replacement from effefffefdfeffffaaf.\n' | b'22/57\n' | deepmind/math_dataset |
b'Suppose 2*a = 2*o + 6, 0*a + o = 4*a - 18. Let z(h) = -10*h**3 - h + 7. Let p(w) = 7*w**3 + w - 5. Let l(q) = a*z(q) + 7*p(q). Suppose -m - 6 = 2*m. Give l(m).\n' | b'4\n' | b'Suppose 2*a = 2*o + 6, 0*a + o = 4*a - 18. Let z(h) = -10*h**3 - h + 7. Let p(w) = 7*w**3 + w - 5. Let l(q) = a*z(q) + 7*p(q). Suppose -m - 6 = 2*m. Give l(m).\n' | b'4\n' | deepmind/math_dataset |
b'Let y(t) = t**3 - 3*t**2 - t + 2. Let s(a) = 4*a**3 - 8*a**2 - 2*a + 7. Let x(b) = b. Let z be x(-7). Let i(n) = z*y(n) + 2*s(n). Calculate i(-4).\n' | b'4\n' | b'Let y(t) = t**3 - 3*t**2 - t + 2. Let s(a) = 4*a**3 - 8*a**2 - 2*a + 7. Let x(b) = b. Let z be x(-7). Let i(n) = z*y(n) + 2*s(n). Calculate i(-4).\n' | b'4\n' | deepmind/math_dataset |
b'Let h(a) be the first derivative of -a**3/3 + 3*a**2 + 2*a + 6444. What is h(2)?\n' | b'10\n' | b'Let h(a) be the first derivative of -a**3/3 + 3*a**2 + 2*a + 6444. What is h(2)?\n' | b'10\n' | deepmind/math_dataset |
b'Four letters picked without replacement from tbyzztbtttvbt. What is prob of sequence zzyb?\n' | b'1/2860\n' | b'Four letters picked without replacement from tbyzztbtttvbt. What is prob of sequence zzyb?\n' | b'1/2860\n' | deepmind/math_dataset |
b'Two letters picked without replacement from iiwwiwiwwhwwwwwiw. What is prob of sequence ih?\n' | b'5/272\n' | b'Two letters picked without replacement from iiwwiwiwwhwwwwwiw. What is prob of sequence ih?\n' | b'5/272\n' | deepmind/math_dataset |
b'Let l(p) be the third derivative of -173*p**8/336 + 11*p**5/5 + 7*p**2 - 5. Find the third derivative of l(s) wrt s.\n' | b'-10380*s**2\n' | b'Let l(p) be the third derivative of -173*p**8/336 + 11*p**5/5 + 7*p**2 - 5. Find the third derivative of l(s) wrt s.\n' | b'-10380*s**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from lwwhlwhhrw. Give prob of sequence rhw.\n' | b'1/60\n' | b'Three letters picked without replacement from lwwhlwhhrw. Give prob of sequence rhw.\n' | b'1/60\n' | deepmind/math_dataset |
b'Simplify (b**(-7/4)*b)**47 assuming b is positive.\n' | b'b**(-141/4)\n' | b'Simplify (b**(-7/4)*b)**47 assuming b is positive.\n' | b'b**(-141/4)\n' | deepmind/math_dataset |
b'Simplify ((z*z**(-5/6))/z)**(-4)/(z**(2/5))**46 assuming z is positive.\n' | b'z**(-226/15)\n' | b'Simplify ((z*z**(-5/6))/z)**(-4)/(z**(2/5))**46 assuming z is positive.\n' | b'z**(-226/15)\n' | deepmind/math_dataset |
b'Suppose 0 = 9*o - o - 536. Find the second derivative of -320*y - 75*y**2 - o*y**2 + 85*y - 23*y**2 wrt y.\n' | b'-330\n' | b'Suppose 0 = 9*o - o - 536. Find the second derivative of -320*y - 75*y**2 - o*y**2 + 85*y - 23*y**2 wrt y.\n' | b'-330\n' | deepmind/math_dataset |
b'Let l(b) = 135*b + 2029. Let x be l(-15). Solve d = -x*p + 2*d - 3, -4*p = 2*d - 6 for p.\n' | b'0\n' | b'Let l(b) = 135*b + 2029. Let x be l(-15). Solve d = -x*p + 2*d - 3, -4*p = 2*d - 6 for p.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 2, t: 2, g: 2, r: 1, f: 1, j: 11}. Give prob of sequence gf.\n' | b'1/171\n' | b'Two letters picked without replacement from {z: 2, t: 2, g: 2, r: 1, f: 1, j: 11}. Give prob of sequence gf.\n' | b'1/171\n' | deepmind/math_dataset |
b'Suppose -9 = 3*j, 5*r + 30*j - 35*j - 160 = 0. Solve 3*m = 2*h + 2, -24*h + r*h = 3*m + 13 for m.\n' | b'4\n' | b'Suppose -9 = 3*j, 5*r + 30*j - 35*j - 160 = 0. Solve 3*m = 2*h + 2, -24*h + r*h = 3*m + 13 for m.\n' | b'4\n' | deepmind/math_dataset |
b'Let m(u) = -u**2 - u + 1. Suppose 3*w - 11 = -s + 5*s, -3*w + 2*s + 7 = 0. What is m(w)?\n' | b'-1\n' | b'Let m(u) = -u**2 - u + 1. Suppose 3*w - 11 = -s + 5*s, -3*w + 2*s + 7 = 0. What is m(w)?\n' | b'-1\n' | deepmind/math_dataset |
b'Let p(d) = d. Let x(c) = -c**2 - 4*c. Let w be x(-5). What is p(w)?\n' | b'-5\n' | b'Let p(d) = d. Let x(c) = -c**2 - 4*c. Let w be x(-5). What is p(w)?\n' | b'-5\n' | deepmind/math_dataset |
b'Let k(t) be the first derivative of -200*t**4 - t**3 - t**2/2 + 13*t - 1023. What is the third derivative of k(m) wrt m?\n' | b'-4800\n' | b'Let k(t) be the first derivative of -200*t**4 - t**3 - t**2/2 + 13*t - 1023. What is the third derivative of k(m) wrt m?\n' | b'-4800\n' | deepmind/math_dataset |
b'Let a(z) = -4*z + 1 + 0*z**2 - z**2 + 5*z. Suppose 0 = -b + 3*b + 8. Let i be 18/b*2/(-3). Calculate a(i).\n' | b'-5\n' | b'Let a(z) = -4*z + 1 + 0*z**2 - z**2 + 5*z. Suppose 0 = -b + 3*b + 8. Let i be 18/b*2/(-3). Calculate a(i).\n' | b'-5\n' | deepmind/math_dataset |
b'Let c(i) be the second derivative of -76*i**3/3 + 90*i**2 + 3*i - 7. Differentiate c(l) wrt l.\n' | b'-152\n' | b'Let c(i) be the second derivative of -76*i**3/3 + 90*i**2 + 3*i - 7. Differentiate c(l) wrt l.\n' | b'-152\n' | deepmind/math_dataset |
b'Let r be 12/48 + (-22)/(-8). Suppose g + r*n - 14 = 0, -2*g + 0*n = -4*n + 22. Let d(s) = 2*s**2 + 2*s - 3*s**3 - 6 + 7 + 0. Determine d(g).\n' | b'4\n' | b'Let r be 12/48 + (-22)/(-8). Suppose g + r*n - 14 = 0, -2*g + 0*n = -4*n + 22. Let d(s) = 2*s**2 + 2*s - 3*s**3 - 6 + 7 + 0. Determine d(g).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((j/(j/j**7))/(j**(-5/6)*j*j))**31 assuming j is positive.\n' | b'j**(1085/6)\n' | b'Simplify ((j/(j/j**7))/(j**(-5/6)*j*j))**31 assuming j is positive.\n' | b'j**(1085/6)\n' | deepmind/math_dataset |
b'Let f = -11 + 13. What is the third derivative of -3*k**f - 11 + k**2 + 11 + 3*k**3 wrt k?\n' | b'18\n' | b'Let f = -11 + 13. What is the third derivative of -3*k**f - 11 + k**2 + 11 + 3*k**3 wrt k?\n' | b'18\n' | deepmind/math_dataset |
b'What is prob of picking 3 t when three letters picked without replacement from {t: 3, p: 2, f: 10}?\n' | b'1/455\n' | b'What is prob of picking 3 t when three letters picked without replacement from {t: 3, p: 2, f: 10}?\n' | b'1/455\n' | deepmind/math_dataset |
b'What is prob of sequence gg when two letters picked without replacement from {z: 2, g: 17}?\n' | b'136/171\n' | b'What is prob of sequence gg when two letters picked without replacement from {z: 2, g: 17}?\n' | b'136/171\n' | deepmind/math_dataset |
b'Let t(l) be the first derivative of -l**5/60 + 5*l**4/24 + 4*l**3/3 + l**2/2 - 4. Let m(h) be the second derivative of t(h). Let x = -16 - -22. Calculate m(x).\n' | b'2\n' | b'Let t(l) be the first derivative of -l**5/60 + 5*l**4/24 + 4*l**3/3 + l**2/2 - 4. Let m(h) be the second derivative of t(h). Let x = -16 - -22. Calculate m(x).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (((t/t**(-7))/t)/(t/(t/(t/(t*t**(-2/5))))))/(t*(t*t**3*t)/t*t*t**1)*(t*t**(-2/5))**(-6/5)/((t*t/(t*t*t**(1/8)))/((t*t**5)/t*t)) assuming t is positive.\n' | b't**(1001/200)\n' | b'Simplify (((t/t**(-7))/t)/(t/(t/(t/(t*t**(-2/5))))))/(t*(t*t**3*t)/t*t*t**1)*(t*t**(-2/5))**(-6/5)/((t*t/(t*t*t**(1/8)))/((t*t**5)/t*t)) assuming t is positive.\n' | b't**(1001/200)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 4, v: 15}. Give prob of sequence dv.\n' | b'10/57\n' | b'Two letters picked without replacement from {d: 4, v: 15}. Give prob of sequence dv.\n' | b'10/57\n' | deepmind/math_dataset |
b'Let c be (-48633)/(-247) - (-2)/19. What is the second derivative of -1 + g - c*g**2 + 348*g**2 - 2 wrt g?\n' | b'302\n' | b'Let c be (-48633)/(-247) - (-2)/19. What is the second derivative of -1 + g - c*g**2 + 348*g**2 - 2 wrt g?\n' | b'302\n' | deepmind/math_dataset |
b'Simplify ((d*d/(d/d**6))/d*d*d**1*d*d**(-7)/(d/(d/((d/(d*d/d**(-6)))/d)*d*d)))/(d/(d/(d*d**(-4/5))*d)*(d**(-6)*d)/d)**(6/29) assuming d is positive.\n' | b'd**(1944/145)\n' | b'Simplify ((d*d/(d/d**6))/d*d*d**1*d*d**(-7)/(d/(d/((d/(d*d/d**(-6)))/d)*d*d)))/(d/(d/(d*d**(-4/5))*d)*(d**(-6)*d)/d)**(6/29) assuming d is positive.\n' | b'd**(1944/145)\n' | deepmind/math_dataset |
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