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 x(w) = 2*w**2 + 7*w - 18. Suppose 3*i + 14 = -4*s, -3*i = -i - 4*s - 24. Let h be x(i). Solve -3*v - 3*z = -24, -h*v = -2*v + 3*z - 21 for v.\n' | b'3\n' | b'Let x(w) = 2*w**2 + 7*w - 18. Suppose 3*i + 14 = -4*s, -3*i = -i - 4*s - 24. Let h be x(i). Solve -3*v - 3*z = -24, -h*v = -2*v + 3*z - 21 for v.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of picking 1 x and 1 e when two letters picked without replacement from eexy?\n' | b'1/3\n' | b'What is prob of picking 1 x and 1 e when two letters picked without replacement from eexy?\n' | b'1/3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 p and 3 n when four letters picked without replacement from nnpppn.\n' | b'1/5\n' | b'Calculate prob of picking 1 p and 3 n when four letters picked without replacement from nnpppn.\n' | b'1/5\n' | deepmind/math_dataset |
b'Simplify ((i*i**(-3/2))/(i*i/((i*i**2)/i)*i*i))**(-40)/((i**(-2/5))**(-4/23)/(i/i**(-1/3)*i)**(-15)) assuming i is positive.\n' | b'i**(7467/115)\n' | b'Simplify ((i*i**(-3/2))/(i*i/((i*i**2)/i)*i*i))**(-40)/((i**(-2/5))**(-4/23)/(i/i**(-1/3)*i)**(-15)) assuming i is positive.\n' | b'i**(7467/115)\n' | deepmind/math_dataset |
b'Let f be (-2 - -3) + (0 - 1). Let z = 5 - 7. Let d be (-2)/(f + z - -1). Solve 0 = -d*n + 3*g - 8, 2*n - 4*g + 9 + 3 = 0 for n.\n' | b'2\n' | b'Let f be (-2 - -3) + (0 - 1). Let z = 5 - 7. Let d be (-2)/(f + z - -1). Solve 0 = -d*n + 3*g - 8, 2*n - 4*g + 9 + 3 = 0 for n.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((a/(a*a/(a*a/(a/a**(2/5))*a)))/a**(1/3))/((a**(-2)/a)/a)**(-32/3) assuming a is positive.\n' | b'a**(-208/5)\n' | b'Simplify ((a/(a*a/(a*a/(a/a**(2/5))*a)))/a**(1/3))/((a**(-2)/a)/a)**(-32/3) assuming a is positive.\n' | b'a**(-208/5)\n' | deepmind/math_dataset |
b'Let o = -69 + 102. Suppose 3*u + 2*v = -2*v + o, 3*u - 30 = -3*v. Let w(m) = 4*m - 5*m + 3*m - 9. Determine w(u).\n' | b'5\n' | b'Let o = -69 + 102. Suppose 3*u + 2*v = -2*v + o, 3*u - 30 = -3*v. Let w(m) = 4*m - 5*m + 3*m - 9. Determine w(u).\n' | b'5\n' | deepmind/math_dataset |
b'Let k(f) = 5*f**3 + 10*f**2 - 4*f - 4. Let a(h) = -9*h**3 - 19*h**2 + 8*h + 7. Let q = -14 - -18. Let r = 7 + q. Let n(o) = r*k(o) + 6*a(o). Determine n(2).\n' | b'-2\n' | b'Let k(f) = 5*f**3 + 10*f**2 - 4*f - 4. Let a(h) = -9*h**3 - 19*h**2 + 8*h + 7. Let q = -14 - -18. Let r = 7 + q. Let n(o) = r*k(o) + 6*a(o). Determine n(2).\n' | b'-2\n' | deepmind/math_dataset |
b'Let v(j) = -j**3 - 16*j**2 - 27*j + 14. Let t be v(-14). Solve 2*i - 5*k + t = 11, 4 = 2*i + 2*k for i.\n' | b'3\n' | b'Let v(j) = -j**3 - 16*j**2 - 27*j + 14. Let t be v(-14). Solve 2*i - 5*k + t = 11, 4 = 2*i + 2*k for i.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 1, y: 1, x: 2, a: 4}. Give prob of picking 1 a and 1 y.\n' | b'1/7\n' | b'Two letters picked without replacement from {u: 1, y: 1, x: 2, a: 4}. Give prob of picking 1 a and 1 y.\n' | b'1/7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 4, r: 1, u: 1, z: 2, t: 3}. What is prob of picking 1 d and 1 u?\n' | b'4/55\n' | b'Two letters picked without replacement from {d: 4, r: 1, u: 1, z: 2, t: 3}. What is prob of picking 1 d and 1 u?\n' | b'4/55\n' | deepmind/math_dataset |
b'Four letters picked without replacement from tttttttttt. What is prob of sequence tttt?\n' | b'1\n' | b'Four letters picked without replacement from tttttttttt. What is prob of sequence tttt?\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (z**(7/5)*z**13/z*z**(-1/6)/(z/(z/(z/(z*z**(-26)*z*z)*z))))**12 assuming z is positive.\n' | b'z**(-706/5)\n' | b'Simplify (z**(7/5)*z**13/z*z**(-1/6)/(z/(z/(z/(z*z**(-26)*z*z)*z))))**12 assuming z is positive.\n' | b'z**(-706/5)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 3, y: 2, j: 1, h: 1}. What is prob of sequence fhf?\n' | b'1/35\n' | b'Three letters picked without replacement from {f: 3, y: 2, j: 1, h: 1}. What is prob of sequence fhf?\n' | b'1/35\n' | deepmind/math_dataset |
b'Let v(o) = 151*o**3 + 9*o**2 - 162*o - 13. Let q(a) = -75*a**3 - 4*a**2 + 81*a + 6. Let x(k) = 9*q(k) + 4*v(k). What is the second derivative of x(f) wrt f?\n' | b'-426*f\n' | b'Let v(o) = 151*o**3 + 9*o**2 - 162*o - 13. Let q(a) = -75*a**3 - 4*a**2 + 81*a + 6. Let x(k) = 9*q(k) + 4*v(k). What is the second derivative of x(f) wrt f?\n' | b'-426*f\n' | deepmind/math_dataset |
b'Let l(p) = 7*p**2 - 4*p + 2. Let w(v) = 69*v**2 - 39*v + 21. Let x(q) = 21*l(q) - 2*w(q). What is the second derivative of x(k) wrt k?\n' | b'18\n' | b'Let l(p) = 7*p**2 - 4*p + 2. Let w(v) = 69*v**2 - 39*v + 21. Let x(q) = 21*l(q) - 2*w(q). What is the second derivative of x(k) wrt k?\n' | b'18\n' | deepmind/math_dataset |
b'Let f(h) = -h**2 - h + 10. Suppose -3*n = -4*u - 2304, 8*n - 5*u - 3835 = 3*n. Let r = 764 - n. Give f(r).\n' | b'10\n' | b'Let f(h) = -h**2 - h + 10. Suppose -3*n = -4*u - 2304, 8*n - 5*u - 3835 = 3*n. Let r = 764 - n. Give f(r).\n' | b'10\n' | deepmind/math_dataset |
b'Calculate prob of sequence jpu when three letters picked without replacement from {c: 1, u: 1, j: 2, p: 3, g: 4}.\n' | b'1/165\n' | b'Calculate prob of sequence jpu when three letters picked without replacement from {c: 1, u: 1, j: 2, p: 3, g: 4}.\n' | b'1/165\n' | deepmind/math_dataset |
b'Let l = 9 + -7. Suppose 1 = -g + 2*x, 0 = -2*g - l*x + 3 + 7. Solve -2*d - g*t = 23, -6 = 4*d - 0*d - 2*t for d.\n' | b'-4\n' | b'Let l = 9 + -7. Suppose 1 = -g + 2*x, 0 = -2*g - l*x + 3 + 7. Solve -2*d - g*t = 23, -6 = 4*d - 0*d - 2*t for d.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {e: 1, s: 1, x: 1, i: 2, r: 2, u: 1}.\n' | b'1/14\n' | b'Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {e: 1, s: 1, x: 1, i: 2, r: 2, u: 1}.\n' | b'1/14\n' | deepmind/math_dataset |
b'Simplify t**(1/8)*(t/(t/((t**2/t)/t)))/t*(t**(-3/7))**(-3/10) assuming t is positive.\n' | b't**(-209/280)\n' | b'Simplify t**(1/8)*(t/(t/((t**2/t)/t)))/t*(t**(-3/7))**(-3/10) assuming t is positive.\n' | b't**(-209/280)\n' | deepmind/math_dataset |
b'What is prob of sequence mxxx when four letters picked without replacement from mmnxxmxmmmmmxmnx?\n' | b'9/728\n' | b'What is prob of sequence mxxx when four letters picked without replacement from mmnxxmxmmmmmxmnx?\n' | b'9/728\n' | deepmind/math_dataset |
b'Simplify d/((d/(d/(d*d**(-15)))*d)/d)*(d**16*d)/d assuming d is positive.\n' | b'd**31\n' | b'Simplify d/((d/(d/(d*d**(-15)))*d)/d)*(d**16*d)/d assuming d is positive.\n' | b'd**31\n' | deepmind/math_dataset |
b'Simplify ((i**(-19)/(i*i**35*i*i))/(i*(i**(-1/41)*i)/i*i**7))**(-17) assuming i is positive.\n' | b'i**(45288/41)\n' | b'Simplify ((i**(-19)/(i*i**35*i*i))/(i*(i**(-1/41)*i)/i*i**7))**(-17) assuming i is positive.\n' | b'i**(45288/41)\n' | deepmind/math_dataset |
b'Suppose -47 = l - 2*w, -2*l + 4*w - 139 = l. Let f = -66 - l. Let v = f + 20. Let y(q) = 3*q - 1. Determine y(v).\n' | b'-4\n' | b'Suppose -47 = l - 2*w, -2*l + 4*w - 139 = l. Let f = -66 - l. Let v = f + 20. Let y(q) = 3*q - 1. Determine y(v).\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence zmm when three letters picked without replacement from zmmmmbmmm?\n' | b'1/12\n' | b'What is prob of sequence zmm when three letters picked without replacement from zmmmmbmmm?\n' | b'1/12\n' | deepmind/math_dataset |
b'Let o = 59 + -31. Suppose 3 = -3*g, 5*k - 2*g = -4*g + o. Solve 2*j - 3 - k = z, j - 3*z - 2 = 0 for j.\n' | b'5\n' | b'Let o = 59 + -31. Suppose 3 = -3*g, 5*k - 2*g = -4*g + o. Solve 2*j - 3 - k = z, j - 3*z - 2 = 0 for j.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (k**(-1)*k/(k*k/(k*k**(-6/11))*k*k))/((k*k**2)/k)**(-25) assuming k is positive.\n' | b'k**(511/11)\n' | b'Simplify (k**(-1)*k/(k*k/(k*k**(-6/11))*k*k))/((k*k**2)/k)**(-25) assuming k is positive.\n' | b'k**(511/11)\n' | deepmind/math_dataset |
b'Suppose 0 = 7*m - 3*m - 27*m - 184. Let w(a) = 3*a**2 + 7*a - 39. Calculate w(m).\n' | b'97\n' | b'Suppose 0 = 7*m - 3*m - 27*m - 184. Let w(a) = 3*a**2 + 7*a - 39. Calculate w(m).\n' | b'97\n' | deepmind/math_dataset |
b'Simplify k**2*k*k*k**(-7/2)*k assuming k is positive.\n' | b'k**(3/2)\n' | b'Simplify k**2*k*k*k**(-7/2)*k assuming k is positive.\n' | b'k**(3/2)\n' | deepmind/math_dataset |
b'Simplify (i**(13/4)*i)**(-4/19) assuming i is positive.\n' | b'i**(-17/19)\n' | b'Simplify (i**(13/4)*i)**(-4/19) assuming i is positive.\n' | b'i**(-17/19)\n' | deepmind/math_dataset |
b'Simplify (y/y**(-2))/y*y/(y/(y*y*y*y/(y**(-6)*y)))*(y**(-3)*y)/(y/(((y*y**(-2/3)*y)/y)/y)) assuming y is positive.\n' | b'y**(22/3)\n' | b'Simplify (y/y**(-2))/y*y/(y/(y*y*y*y/(y**(-6)*y)))*(y**(-3)*y)/(y/(((y*y**(-2/3)*y)/y)/y)) assuming y is positive.\n' | b'y**(22/3)\n' | deepmind/math_dataset |
b'Let i = 10 - 5. Let p(h) = -3229 + h + 3229. Determine p(i).\n' | b'5\n' | b'Let i = 10 - 5. Let p(h) = -3229 + h + 3229. Determine p(i).\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {n: 4, y: 4, o: 6, x: 1}. What is prob of picking 2 n, 1 y, and 1 x?\n' | b'8/455\n' | b'Four letters picked without replacement from {n: 4, y: 4, o: 6, x: 1}. What is prob of picking 2 n, 1 y, and 1 x?\n' | b'8/455\n' | deepmind/math_dataset |
b'Suppose 35*z = 39*z - 20. Let h(v) = v - 5*v + z*v. Calculate h(-1).\n' | b'-1\n' | b'Suppose 35*z = 39*z - 20. Let h(v) = v - 5*v + z*v. Calculate h(-1).\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ijjwr. What is prob of sequence jrj?\n' | b'1/30\n' | b'Three letters picked without replacement from ijjwr. What is prob of sequence jrj?\n' | b'1/30\n' | deepmind/math_dataset |
b'Suppose -18 = -35*l + 52. Solve 0 = -5*j - b - 6 - 5, -4*b - 8 = l*j for j.\n' | b'-2\n' | b'Suppose -18 = -35*l + 52. Solve 0 = -5*j - b - 6 - 5, -4*b - 8 = l*j for j.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((f*f**0)/f)**(-8/3)*(f**0)**(-18)*(f*((f**(-2/5)*f)/f)/f)**(21/8)/(f/f**(-3/2)*f**(1/7)*f) assuming f is positive.\n' | b'f**(-657/140)\n' | b'Simplify ((f*f**0)/f)**(-8/3)*(f**0)**(-18)*(f*((f**(-2/5)*f)/f)/f)**(21/8)/(f/f**(-3/2)*f**(1/7)*f) assuming f is positive.\n' | b'f**(-657/140)\n' | deepmind/math_dataset |
b'What is the third derivative of 1006*t**4 - t**5 - 859*t**4 + 2 + 844*t**2 + 139*t**2 wrt t?\n' | b'-60*t**2 + 3528*t\n' | b'What is the third derivative of 1006*t**4 - t**5 - 859*t**4 + 2 + 844*t**2 + 139*t**2 wrt t?\n' | b'-60*t**2 + 3528*t\n' | deepmind/math_dataset |
b'Let o = -31 - -47. Suppose 4*n - o = -5*p + 5*n, -4*p + n + 12 = 0. Find the first derivative of -4 + 3*a - p + 5*a wrt a.\n' | b'8\n' | b'Let o = -31 - -47. Suppose 4*n - o = -5*p + 5*n, -4*p + n + 12 = 0. Find the first derivative of -4 + 3*a - p + 5*a wrt a.\n' | b'8\n' | deepmind/math_dataset |
b'What is the second derivative of -69*a**4 + 6*a**2 + 0*a**4 - 6*a**2 - 26*a wrt a?\n' | b'-828*a**2\n' | b'What is the second derivative of -69*a**4 + 6*a**2 + 0*a**4 - 6*a**2 - 26*a wrt a?\n' | b'-828*a**2\n' | deepmind/math_dataset |
b'Let r(g) = 8*g**3 - g**2 + 1. Let l be r(-1). Let n = -23 - l. Let a(y) = -y**3 - 15*y**2. Let c be a(n). Solve j - 13 = -c*j - 4*d, -2*j = -4*d + 22 for j.\n' | b'-3\n' | b'Let r(g) = 8*g**3 - g**2 + 1. Let l be r(-1). Let n = -23 - l. Let a(y) = -y**3 - 15*y**2. Let c be a(n). Solve j - 13 = -c*j - 4*d, -2*j = -4*d + 22 for j.\n' | b'-3\n' | deepmind/math_dataset |
b'Let j(k) = -k**3 + 6*k**2 - 5*k - 4. Let z(x) = x**2 + x + 4. Let n be z(0). Let o be j(n). Suppose t - o = -t. Solve -u = t*v - 12, 5*u = 6*v - v + 10 for u.\n' | b'4\n' | b'Let j(k) = -k**3 + 6*k**2 - 5*k - 4. Let z(x) = x**2 + x + 4. Let n be z(0). Let o be j(n). Suppose t - o = -t. Solve -u = t*v - 12, 5*u = 6*v - v + 10 for u.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 2, d: 4, l: 1, f: 4}. Give prob of picking 1 o and 1 f.\n' | b'8/55\n' | b'Two letters picked without replacement from {o: 2, d: 4, l: 1, f: 4}. Give prob of picking 1 o and 1 f.\n' | b'8/55\n' | deepmind/math_dataset |
b'Suppose w = 7 + 1. Suppose -3*v + w*v + 10 = 0. Let l(y) = -5 - 224*y + 5 + 221*y. Calculate l(v).\n' | b'6\n' | b'Suppose w = 7 + 1. Suppose -3*v + w*v + 10 = 0. Let l(y) = -5 - 224*y + 5 + 221*y. Calculate l(v).\n' | b'6\n' | deepmind/math_dataset |
b'Let b(l) = -2*l**3 + 4*l. Let w be b(-2). Let r(c) = 2*c**2 - 4*c**2 + c**2 + 6 - w - 8*c. What is r(-7)?\n' | b'5\n' | b'Let b(l) = -2*l**3 + 4*l. Let w be b(-2). Let r(c) = 2*c**2 - 4*c**2 + c**2 + 6 - w - 8*c. What is r(-7)?\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 5, y: 4, z: 3, m: 1, v: 1}. Give prob of picking 1 p and 2 z.\n' | b'15/364\n' | b'Three letters picked without replacement from {p: 5, y: 4, z: 3, m: 1, v: 1}. Give prob of picking 1 p and 2 z.\n' | b'15/364\n' | deepmind/math_dataset |
b'Simplify (i**(-3))**25 assuming i is positive.\n' | b'i**(-75)\n' | b'Simplify (i**(-3))**25 assuming i is positive.\n' | b'i**(-75)\n' | deepmind/math_dataset |
b'Suppose -6 = -3*x + x. Solve v + x = -h, -12 = 3*v - v + 4*h for v.\n' | b'0\n' | b'Suppose -6 = -3*x + x. Solve v + x = -h, -12 = 3*v - v + 4*h for v.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 1, a: 9, y: 4}. Give prob of picking 1 p and 1 y.\n' | b'4/91\n' | b'Two letters picked without replacement from {p: 1, a: 9, y: 4}. Give prob of picking 1 p and 1 y.\n' | b'4/91\n' | deepmind/math_dataset |
b'Let b be (6 - 0)*5/15. What is the third derivative of 41*u**2 - 11*u**b + 3*u**4 - 4*u**4 wrt u?\n' | b'-24*u\n' | b'Let b be (6 - 0)*5/15. What is the third derivative of 41*u**2 - 11*u**b + 3*u**4 - 4*u**4 wrt u?\n' | b'-24*u\n' | deepmind/math_dataset |
b'Let q(x) be the second derivative of 3*x + 0*x**4 - 2/3*x**3 + 1/5*x**5 + 0*x**2 + 0. What is the second derivative of q(r) wrt r?\n' | b'24*r\n' | b'Let q(x) be the second derivative of 3*x + 0*x**4 - 2/3*x**3 + 1/5*x**5 + 0*x**2 + 0. What is the second derivative of q(r) wrt r?\n' | b'24*r\n' | deepmind/math_dataset |
b'Three letters picked without replacement from tttiiioootityio. Give prob of sequence itt.\n' | b'10/273\n' | b'Three letters picked without replacement from tttiiioootityio. Give prob of sequence itt.\n' | b'10/273\n' | deepmind/math_dataset |
b'Suppose -y + 21 = 2*g, -2*y + 84 = 2*y + 4*g. Suppose 5*w = -0*w + 30. Let p = -5875 + 5893. Solve 0 = 5*x - a + p, 4*a + w - y = x for x.\n' | b'-3\n' | b'Suppose -y + 21 = 2*g, -2*y + 84 = 2*y + 4*g. Suppose 5*w = -0*w + 30. Let p = -5875 + 5893. Solve 0 = 5*x - a + p, 4*a + w - y = x for x.\n' | b'-3\n' | deepmind/math_dataset |
b'Find the second derivative of -11*u**5 - 44*u**5 - 25*u - 61*u**5 + 23*u + 71*u wrt u.\n' | b'-2320*u**3\n' | b'Find the second derivative of -11*u**5 - 44*u**5 - 25*u - 61*u**5 + 23*u + 71*u wrt u.\n' | b'-2320*u**3\n' | deepmind/math_dataset |
b'Let v(f) be the third derivative of -f**8/24 - 5*f**4/24 + 15*f**2. Find the second derivative of v(u) wrt u.\n' | b'-280*u**3\n' | b'Let v(f) be the third derivative of -f**8/24 - 5*f**4/24 + 15*f**2. Find the second derivative of v(u) wrt u.\n' | b'-280*u**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from sksssskccfkfkckmkkk. Give prob of picking 3 s and 1 k.\n' | b'20/969\n' | b'Four letters picked without replacement from sksssskccfkfkckmkkk. Give prob of picking 3 s and 1 k.\n' | b'20/969\n' | deepmind/math_dataset |
b'Let v = 5 + -3. Let o(p) = 19*p**2 + 2*p - 1. Let g be o(1). Solve 13 + v = -5*t + k, 0 = -4*k + g for t.\n' | b'-2\n' | b'Let v = 5 + -3. Let o(p) = 19*p**2 + 2*p - 1. Let g be o(1). Solve 13 + v = -5*t + k, 0 = -4*k + g for t.\n' | b'-2\n' | deepmind/math_dataset |
b'Let b = 149 - 138. What is the first derivative of 34 + b - 4266*y**4 + 4233*y**4 wrt y?\n' | b'-132*y**3\n' | b'Let b = 149 - 138. What is the first derivative of 34 + b - 4266*y**4 + 4233*y**4 wrt y?\n' | b'-132*y**3\n' | deepmind/math_dataset |
b'Let k = 2 + -2. Let r = 2 + -2. Let q be (-740)/(-80) + 2/(-8). Solve 2*u + g = r, -u + 4*g + k*g = q for u.\n' | b'-1\n' | b'Let k = 2 + -2. Let r = 2 + -2. Let q be (-740)/(-80) + 2/(-8). Solve 2*u + g = r, -u + 4*g + k*g = q for u.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from auavyxu. Give prob of sequence xv.\n' | b'1/42\n' | b'Two letters picked without replacement from auavyxu. Give prob of sequence xv.\n' | b'1/42\n' | deepmind/math_dataset |
b'Let m(v) = -4*v + 13*v - 45 - 8*v + 2*v + 3*v. Determine m(8).\n' | b'3\n' | b'Let m(v) = -4*v + 13*v - 45 - 8*v + 2*v + 3*v. Determine m(8).\n' | b'3\n' | deepmind/math_dataset |
b'Let r be 0/(0/(-2) + 2). Solve 2*a - 4*t + r = -6, 0 = 5*a - 4*t - 3 for a.\n' | b'3\n' | b'Let r be 0/(0/(-2) + 2). Solve 2*a - 4*t + r = -6, 0 = 5*a - 4*t - 3 for a.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (f**1)**(-23)*(f**(-2))**(-5/6) assuming f is positive.\n' | b'f**(-64/3)\n' | b'Simplify (f**1)**(-23)*(f**(-2))**(-5/6) assuming f is positive.\n' | b'f**(-64/3)\n' | deepmind/math_dataset |
b'Let p(j) = j**3 + 11*j**2 + 9*j + 6. Let y be p(-10). Suppose -2*n - f = 3*f + y, 10 = -2*f. Suppose 16*q + n = 17*q. Solve -1 - 11 = 3*s - 5*k, q*k = 0 for s.\n' | b'-4\n' | b'Let p(j) = j**3 + 11*j**2 + 9*j + 6. Let y be p(-10). Suppose -2*n - f = 3*f + y, 10 = -2*f. Suppose 16*q + n = 17*q. Solve -1 - 11 = 3*s - 5*k, q*k = 0 for s.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of picking 2 d and 2 z when four letters picked without replacement from {z: 5, d: 8}?\n' | b'56/143\n' | b'What is prob of picking 2 d and 2 z when four letters picked without replacement from {z: 5, d: 8}?\n' | b'56/143\n' | deepmind/math_dataset |
b'Suppose -18 + 15 = r. Let z be 63/(-140)*-5*(-4)/r. Solve -6 = v - 3*v - 2*p, 23 = z*v - 4*p for v.\n' | b'5\n' | b'Suppose -18 + 15 = r. Let z be 63/(-140)*-5*(-4)/r. Solve -6 = v - 3*v - 2*p, 23 = z*v - 4*p for v.\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zwffwuqwfwdw. Give prob of sequence duz.\n' | b'1/1320\n' | b'Three letters picked without replacement from zwffwuqwfwdw. Give prob of sequence duz.\n' | b'1/1320\n' | deepmind/math_dataset |
b'Let m(s) = s**2 - 6*s + 10. Let j = -1194 + 1198. What is m(j)?\n' | b'2\n' | b'Let m(s) = s**2 - 6*s + 10. Let j = -1194 + 1198. What is m(j)?\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 2*p - 6*p = 0. Let c(u) be the third derivative of p - u**2 + 0*u - 1/20*u**5 - 1/2*u**3 + 0*u**4. Differentiate c(g) wrt g.\n' | b'-6*g\n' | b'Suppose 2*p - 6*p = 0. Let c(u) be the third derivative of p - u**2 + 0*u - 1/20*u**5 - 1/2*u**3 + 0*u**4. Differentiate c(g) wrt g.\n' | b'-6*g\n' | deepmind/math_dataset |
b'Let c = 22 + -25. Let g be -1*((-9)/c - 0). Let j(n) = 2*n. Calculate j(g).\n' | b'-6\n' | b'Let c = 22 + -25. Let g be -1*((-9)/c - 0). Let j(n) = 2*n. Calculate j(g).\n' | b'-6\n' | deepmind/math_dataset |
b'Let v(k) be the third derivative of -55*k**7/7 - 1865*k**3/6 + k**2 - 1837*k. Differentiate v(c) wrt c.\n' | b'-6600*c**3\n' | b'Let v(k) be the third derivative of -55*k**7/7 - 1865*k**3/6 + k**2 - 1837*k. Differentiate v(c) wrt c.\n' | b'-6600*c**3\n' | deepmind/math_dataset |
b'Let o(t) be the third derivative of -11*t**5/60 + 3*t**4/8 + 7*t**3/3 - 2*t**2 + 15. Differentiate o(y) with respect to y.\n' | b'-22*y + 9\n' | b'Let o(t) be the third derivative of -11*t**5/60 + 3*t**4/8 + 7*t**3/3 - 2*t**2 + 15. Differentiate o(y) with respect to y.\n' | b'-22*y + 9\n' | deepmind/math_dataset |
b'Let o = -67 + 71. Let r(j) = -4*j - 2. Let m(v) = -2*v - 3. Let i(u) = o*r(u) - 3*m(u). Determine i(1).\n' | b'-9\n' | b'Let o = -67 + 71. Let r(j) = -4*j - 2. Let m(v) = -2*v - 3. Let i(u) = o*r(u) - 3*m(u). Determine i(1).\n' | b'-9\n' | deepmind/math_dataset |
b'Simplify (z*z*z*(z/(z*z**(4/7)))/z*z)/z*z**(-24)/z assuming z is positive.\n' | b'z**(-165/7)\n' | b'Simplify (z*z*z*(z/(z*z**(4/7)))/z*z)/z*z**(-24)/z assuming z is positive.\n' | b'z**(-165/7)\n' | deepmind/math_dataset |
b'Let r(z) = -4 + 1 - 2*z + z**2 + z. Suppose -11*h + 7*h - 12 = 0. Let g be r(h). Solve -4*t + 0*u = 5*u + g, -2*u - 10 = 0 for t.\n' | b'4\n' | b'Let r(z) = -4 + 1 - 2*z + z**2 + z. Suppose -11*h + 7*h - 12 = 0. Let g be r(h). Solve -4*t + 0*u = 5*u + g, -2*u - 10 = 0 for t.\n' | b'4\n' | deepmind/math_dataset |
b'Let c(f) = 4*f**3 + 208*f**2 - 2284*f - 1. Let k(n) = -n**3 + n**2 + n + 1. Let x(g) = c(g) + k(g). What is the second derivative of x(h) wrt h?\n' | b'18*h + 418\n' | b'Let c(f) = 4*f**3 + 208*f**2 - 2284*f - 1. Let k(n) = -n**3 + n**2 + n + 1. Let x(g) = c(g) + k(g). What is the second derivative of x(h) wrt h?\n' | b'18*h + 418\n' | deepmind/math_dataset |
b'Let g(p) = -3*p + 29. Let u be g(9). Suppose -5*t + 7 = -8. What is the third derivative of -z**2 - 3*z**u - 4*z**3 + t*z**2 + 4*z**2 wrt z?\n' | b'-24\n' | b'Let g(p) = -3*p + 29. Let u be g(9). Suppose -5*t + 7 = -8. What is the third derivative of -z**2 - 3*z**u - 4*z**3 + t*z**2 + 4*z**2 wrt z?\n' | b'-24\n' | deepmind/math_dataset |
b'Suppose 4 = -4*d - 113*v + 116*v, -v = -2*d. Solve -4*i + d = 4*l - 14, 3*l = 4*i - 23 for l.\n' | b'-1\n' | b'Suppose 4 = -4*d - 113*v + 116*v, -v = -2*d. Solve -4*i + d = 4*l - 14, 3*l = 4*i - 23 for l.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -10*r + 32 = -2*r. Solve -c - 5*m + 6 = 0, m = -r*c + 4*m + 1 for c.\n' | b'1\n' | b'Suppose -10*r + 32 = -2*r. Solve -c - 5*m + 6 = 0, m = -r*c + 4*m + 1 for c.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 1 o and 2 e when three letters picked without replacement from eerrrrdreeror?\n' | b'3/143\n' | b'What is prob of picking 1 o and 2 e when three letters picked without replacement from eerrrrdreeror?\n' | b'3/143\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 3, r: 2, p: 1, j: 5, x: 5}. Give prob of picking 1 x and 2 t.\n' | b'3/112\n' | b'Three letters picked without replacement from {t: 3, r: 2, p: 1, j: 5, x: 5}. Give prob of picking 1 x and 2 t.\n' | b'3/112\n' | deepmind/math_dataset |
b'Let l(n) = -3*n**4 + 4*n**3 - 4*n**2 - 3*n. Let o(i) = i**4 + i**3 - i**2 + i. Let r(a) = -l(a) + 4*o(a). What is the second derivative of r(m) wrt m?\n' | b'84*m**2\n' | b'Let l(n) = -3*n**4 + 4*n**3 - 4*n**2 - 3*n. Let o(i) = i**4 + i**3 - i**2 + i. Let r(a) = -l(a) + 4*o(a). What is the second derivative of r(m) wrt m?\n' | b'84*m**2\n' | deepmind/math_dataset |
b'Suppose 7*s + 10 = 2*s. Let a be (s/(-3))/(2/6). Solve 0*h + 3*h + 16 = -2*x, 16 = -4*x + a*h for x.\n' | b'-5\n' | b'Suppose 7*s + 10 = 2*s. Let a be (s/(-3))/(2/6). Solve 0*h + 3*h + 16 = -2*x, 16 = -4*x + a*h for x.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (k**(1/5)/(k**(-8)*k)*(k*k/k**(-2/5)*k)/((k*k**(-6))/k))**(-15) assuming k is positive.\n' | b'k**(-249)\n' | b'Simplify (k**(1/5)/(k**(-8)*k)*(k*k/k**(-2/5)*k)/((k*k**(-6))/k))**(-15) assuming k is positive.\n' | b'k**(-249)\n' | deepmind/math_dataset |
b'Find the second derivative of -20*o - 10*o - 9*o**3 - 35*o**3 - 47*o**3 - 13*o**2 + 76 + 37 wrt o.\n' | b'-546*o - 26\n' | b'Find the second derivative of -20*o - 10*o - 9*o**3 - 35*o**3 - 47*o**3 - 13*o**2 + 76 + 37 wrt o.\n' | b'-546*o - 26\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gugo. Give prob of picking 1 g and 1 u.\n' | b'1/3\n' | b'Two letters picked without replacement from gugo. Give prob of picking 1 g and 1 u.\n' | b'1/3\n' | deepmind/math_dataset |
b'Let u(l) be the second derivative of 0*l**6 + 1/10*l**5 - 46/21*l**7 + 2*l + 0*l**4 - 3 - 1/6*l**3 + 5*l**2. Find the second derivative of u(t) wrt t.\n' | b'-1840*t**3 + 12*t\n' | b'Let u(l) be the second derivative of 0*l**6 + 1/10*l**5 - 46/21*l**7 + 2*l + 0*l**4 - 3 - 1/6*l**3 + 5*l**2. Find the second derivative of u(t) wrt t.\n' | b'-1840*t**3 + 12*t\n' | deepmind/math_dataset |
b'Suppose 4*a - 33 = -5. Let v(m) = m**3 - 8*m**2 + 5*m + 17. Let h be v(a). Differentiate 6*q**3 + 1 + 9*q**4 - 17*q**h + 11*q**3 with respect to q.\n' | b'36*q**3\n' | b'Suppose 4*a - 33 = -5. Let v(m) = m**3 - 8*m**2 + 5*m + 17. Let h be v(a). Differentiate 6*q**3 + 1 + 9*q**4 - 17*q**h + 11*q**3 with respect to q.\n' | b'36*q**3\n' | deepmind/math_dataset |
b'Let p(r) = r + 4. Let t be p(-6). Let u = -2672 + 2510. Let w be 8 - (u/(-45) - t/5). Solve 3*z = 4*f + w, -z + 9 - 3 = f for z.\n' | b'4\n' | b'Let p(r) = r + 4. Let t be p(-6). Let u = -2672 + 2510. Let w be 8 - (u/(-45) - t/5). Solve 3*z = 4*f + w, -z + 9 - 3 = f for z.\n' | b'4\n' | deepmind/math_dataset |
b'Let x(q) be the first derivative of -q**3/3 - 4*q**2 - 9*q + 6430. Suppose 3*k + 4 = -11. Give x(k).\n' | b'6\n' | b'Let x(q) be the first derivative of -q**3/3 - 4*q**2 - 9*q + 6430. Suppose 3*k + 4 = -11. Give x(k).\n' | b'6\n' | deepmind/math_dataset |
b'Let m be ((-144)/15)/(-4) - (-6)/(-15). What is the third derivative of 7*d**2 + d**5 - m*d**5 - 16*d**5 - 24*d**2 wrt d?\n' | b'-1020*d**2\n' | b'Let m be ((-144)/15)/(-4) - (-6)/(-15). What is the third derivative of 7*d**2 + d**5 - m*d**5 - 16*d**5 - 24*d**2 wrt d?\n' | b'-1020*d**2\n' | deepmind/math_dataset |
b'What is the first derivative of 780*j**3 - 25*j**3 + 579*j**3 - 450 wrt j?\n' | b'4002*j**2\n' | b'What is the first derivative of 780*j**3 - 25*j**3 + 579*j**3 - 450 wrt j?\n' | b'4002*j**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence hhh when three letters picked without replacement from lhhhhlh.\n' | b'2/7\n' | b'Calculate prob of sequence hhh when three letters picked without replacement from lhhhhlh.\n' | b'2/7\n' | deepmind/math_dataset |
b'Let a(u) = -u**3 + 3*u**2 + 2*u. Let k(w) = w + 2. Let i be k(1). Let q be 7/(-3)*(-3 - i). Let c = q - 11. Give a(c).\n' | b'6\n' | b'Let a(u) = -u**3 + 3*u**2 + 2*u. Let k(w) = w + 2. Let i be k(1). Let q be 7/(-3)*(-3 - i). Let c = q - 11. Give a(c).\n' | b'6\n' | deepmind/math_dataset |
b'Let h(i) be the second derivative of 0*i**4 + 3/20*i**5 + 0 - 10*i + 0*i**2 + 17/6*i**3. What is the second derivative of h(a) wrt a?\n' | b'18*a\n' | b'Let h(i) be the second derivative of 0*i**4 + 3/20*i**5 + 0 - 10*i + 0*i**2 + 17/6*i**3. What is the second derivative of h(a) wrt a?\n' | b'18*a\n' | deepmind/math_dataset |
b'What is prob of picking 1 r, 1 y, and 1 l when three letters picked without replacement from {r: 4, l: 3, y: 11}?\n' | b'11/68\n' | b'What is prob of picking 1 r, 1 y, and 1 l when three letters picked without replacement from {r: 4, l: 3, y: 11}?\n' | b'11/68\n' | deepmind/math_dataset |
b'Let r(i) be the second derivative of 0*i**4 + 7/15*i**6 + 0*i**2 + 0*i**5 + 0 - 7*i - 1/3*i**3. Find the second derivative of r(s) wrt s.\n' | b'168*s**2\n' | b'Let r(i) be the second derivative of 0*i**4 + 7/15*i**6 + 0*i**2 + 0*i**5 + 0 - 7*i - 1/3*i**3. Find the second derivative of r(s) wrt s.\n' | b'168*s**2\n' | deepmind/math_dataset |
b'Let l(i) be the first derivative of i**8/168 - 11*i**4/24 + 7*i**2/2 - 11. Let r(j) be the second derivative of l(j). Find the second derivative of r(o) wrt o.\n' | b'40*o**3\n' | b'Let l(i) be the first derivative of i**8/168 - 11*i**4/24 + 7*i**2/2 - 11. Let r(j) be the second derivative of l(j). Find the second derivative of r(o) wrt o.\n' | b'40*o**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ooottotoooooat. What is prob of sequence ot?\n' | b'18/91\n' | b'Two letters picked without replacement from ooottotoooooat. What is prob of sequence ot?\n' | b'18/91\n' | deepmind/math_dataset |
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