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 o(f) = -1. Suppose x - 5 = -9. Let l(u) = -4*u + 8. Let g(r) = x*o(r) - l(r). Find the first derivative of g(q) wrt q.\n' | b'4\n' | b'Let o(f) = -1. Suppose x - 5 = -9. Let l(u) = -4*u + 8. Let g(r) = x*o(r) - l(r). Find the first derivative of g(q) wrt q.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 h when two letters picked without replacement from {z: 1, v: 1, h: 3}.\n' | b'3/10\n' | b'Calculate prob of picking 2 h when two letters picked without replacement from {z: 1, v: 1, h: 3}.\n' | b'3/10\n' | deepmind/math_dataset |
b'Let b = -342 + 357. Solve 0 = -3*k - 15, 2*x - 4*k = -k + b for x.\n' | b'0\n' | b'Let b = -342 + 357. Solve 0 = -3*k - 15, 2*x - 4*k = -k + b for x.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 1 o and 1 t when two letters picked without replacement from {x: 4, o: 1, g: 2, t: 1}?\n' | b'1/28\n' | b'What is prob of picking 1 o and 1 t when two letters picked without replacement from {x: 4, o: 1, g: 2, t: 1}?\n' | b'1/28\n' | deepmind/math_dataset |
b'Let i be (15 + -23 - 4) + 17. Solve m - 3*m = -4*f - 4, i*f = -10 for m.\n' | b'-2\n' | b'Let i be (15 + -23 - 4) + 17. Solve m - 3*m = -4*f - 4, i*f = -10 for m.\n' | b'-2\n' | deepmind/math_dataset |
b'Let q(h) be the third derivative of -6*h**2 + 1/3*h**3 + 8 + 0*h + 5/12*h**4. What is q(-2)?\n' | b'-18\n' | b'Let q(h) be the third derivative of -6*h**2 + 1/3*h**3 + 8 + 0*h + 5/12*h**4. What is q(-2)?\n' | b'-18\n' | deepmind/math_dataset |
b'Calculate prob of sequence jja when three letters picked without replacement from {g: 2, a: 1, q: 6, j: 2, i: 1}.\n' | b'1/660\n' | b'Calculate prob of sequence jja when three letters picked without replacement from {g: 2, a: 1, q: 6, j: 2, i: 1}.\n' | b'1/660\n' | deepmind/math_dataset |
b'Let x = 14775 + -14763. Solve -1 = 5*i - 2*v, x = -20*i + 17*i + 5*v for i.\n' | b'1\n' | b'Let x = 14775 + -14763. Solve -1 = 5*i - 2*v, x = -20*i + 17*i + 5*v for i.\n' | b'1\n' | deepmind/math_dataset |
b'Let n be 11 - (0 + -2*(-3)/(-6)). Let p(f) = f**3 + 9*f**2 + 7*f - 10. Let o be p(-8). Let w be (o/3)/((-3)/9). Solve -j = w*q + 4, 2*q - 2*j = j - n for q.\n' | b'-3\n' | b'Let n be 11 - (0 + -2*(-3)/(-6)). Let p(f) = f**3 + 9*f**2 + 7*f - 10. Let o be p(-8). Let w be (o/3)/((-3)/9). Solve -j = w*q + 4, 2*q - 2*j = j - n for q.\n' | b'-3\n' | deepmind/math_dataset |
b'Let u(f) be the second derivative of -f**3/6 + 6*f. Let k(b) = -b**3 - 7*b**2 + 2*b + 9. Let r be k(-7). Calculate u(r).\n' | b'5\n' | b'Let u(f) be the second derivative of -f**3/6 + 6*f. Let k(b) = -b**3 - 7*b**2 + 2*b + 9. Let r be k(-7). Calculate u(r).\n' | b'5\n' | deepmind/math_dataset |
b'Let k = -14 + 19. Solve -3*h + 17 + 15 = k*o, -12 = 2*o - 5*h for o.\n' | b'4\n' | b'Let k = -14 + 19. Solve -3*h + 17 + 15 = k*o, -12 = 2*o - 5*h for o.\n' | b'4\n' | deepmind/math_dataset |
b'Let k be ((-2)/(-3))/((-2)/(-6)). Let b be -3 - (k - 3)*3. Solve -5*d - 4*l - 6 + 3 = b, 5*d + 2*l = -9 for d.\n' | b'-3\n' | b'Let k be ((-2)/(-3))/((-2)/(-6)). Let b be -3 - (k - 3)*3. Solve -5*d - 4*l - 6 + 3 = b, 5*d + 2*l = -9 for d.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence bbob when four letters picked without replacement from occbybbcoc?\n' | b'1/420\n' | b'What is prob of sequence bbob when four letters picked without replacement from occbybbcoc?\n' | b'1/420\n' | deepmind/math_dataset |
b'Suppose 8*h - 12*h + 8 = 4*x, 4*x = h + 18. Let l(o) be the first derivative of -o**2 + 4*o + 5. Calculate l(x).\n' | b'-4\n' | b'Suppose 8*h - 12*h + 8 = 4*x, 4*x = h + 18. Let l(o) be the first derivative of -o**2 + 4*o + 5. Calculate l(x).\n' | b'-4\n' | deepmind/math_dataset |
b'Let y(t) = t**2 + 6*t + 8. Let c be y(-4). Suppose 2*q + 17 = 3*a + 3*q, c = a - 3*q + 1. Find the third derivative of 3*z**2 - 3 + 13*z**a - 12*z**5 + 3 wrt z.\n' | b'60*z**2\n' | b'Let y(t) = t**2 + 6*t + 8. Let c be y(-4). Suppose 2*q + 17 = 3*a + 3*q, c = a - 3*q + 1. Find the third derivative of 3*z**2 - 3 + 13*z**a - 12*z**5 + 3 wrt z.\n' | b'60*z**2\n' | deepmind/math_dataset |
b'Simplify (u**(-8/5))**(-1/39) assuming u is positive.\n' | b'u**(8/195)\n' | b'Simplify (u**(-8/5))**(-1/39) assuming u is positive.\n' | b'u**(8/195)\n' | deepmind/math_dataset |
b'Let x(k) = k**3 - 9*k**2 + 3*k - 10. Suppose -2*j - 2*j + t = -51, -5*j = 3*t - 85. Suppose 0 = -p - 3*l + 24, 2*l = -p + l + j. What is x(p)?\n' | b'17\n' | b'Let x(k) = k**3 - 9*k**2 + 3*k - 10. Suppose -2*j - 2*j + t = -51, -5*j = 3*t - 85. Suppose 0 = -p - 3*l + 24, 2*l = -p + l + j. What is x(p)?\n' | b'17\n' | deepmind/math_dataset |
b'Let f(j) = j**3 + 6*j**2 - 7*j + 1. Let w be 4/(-6)*6/4. Let v be w + 2 + -14 + 6. Determine f(v).\n' | b'1\n' | b'Let f(j) = j**3 + 6*j**2 - 7*j + 1. Let w be 4/(-6)*6/4. Let v be w + 2 + -14 + 6. Determine f(v).\n' | b'1\n' | deepmind/math_dataset |
b'Simplify n**(-2/5)/(n*n*n/(n**(-2/7)/n))*(n**(-3/7)*n)/n**(-2/11)*(n/(n*(n**(2/3)*n)/n)*n)**(11/2)*((n/n**(-1/2))/n)**(6/19) assuming n is positive.\n' | b'n**(-85201/43890)\n' | b'Simplify n**(-2/5)/(n*n*n/(n**(-2/7)/n))*(n**(-3/7)*n)/n**(-2/11)*(n/(n*(n**(2/3)*n)/n)*n)**(11/2)*((n/n**(-1/2))/n)**(6/19) assuming n is positive.\n' | b'n**(-85201/43890)\n' | deepmind/math_dataset |
b'Simplify ((t/t**(-2/7))**28*t**(4/11)*t**(1/5))**(-25) assuming t is positive.\n' | b't**(-10055/11)\n' | b'Simplify ((t/t**(-2/7))**28*t**(4/11)*t**(1/5))**(-25) assuming t is positive.\n' | b't**(-10055/11)\n' | deepmind/math_dataset |
b'What is prob of sequence gbrg when four letters picked without replacement from {b: 4, r: 3, u: 2, g: 2, j: 1}?\n' | b'1/495\n' | b'What is prob of sequence gbrg when four letters picked without replacement from {b: 4, r: 3, u: 2, g: 2, j: 1}?\n' | b'1/495\n' | deepmind/math_dataset |
b'What is the second derivative of -23*t - 14*t**5 + 13*t + 11*t wrt t?\n' | b'-280*t**3\n' | b'What is the second derivative of -23*t - 14*t**5 + 13*t + 11*t wrt t?\n' | b'-280*t**3\n' | deepmind/math_dataset |
b'Let s be 39/9 + (-1)/3. Suppose -s*y + 42 = 5*w, -2*w + 3*y - y = -6. Suppose w*u - 2*u = 8. Solve 2*l = 5*q + 11, -u*l - 19 = 5*q - 0*q for l.\n' | b'-2\n' | b'Let s be 39/9 + (-1)/3. Suppose -s*y + 42 = 5*w, -2*w + 3*y - y = -6. Suppose w*u - 2*u = 8. Solve 2*l = 5*q + 11, -u*l - 19 = 5*q - 0*q for l.\n' | b'-2\n' | deepmind/math_dataset |
b'Let k be (-5)/(-10)*-4 + -2. Let u(c) = -c - 2. Let s be u(-19). Let n(z) = 0*z + 25 - 37 + 2*z + s. Give n(k).\n' | b'-3\n' | b'Let k be (-5)/(-10)*-4 + -2. Let u(c) = -c - 2. Let s be u(-19). Let n(z) = 0*z + 25 - 37 + 2*z + s. Give n(k).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((n*n/(n*n**(13/5))*n/(n*n**(1/5)))/(n**(-2/53)*n**(-15)/n*n))**(-25) assuming n is positive.\n' | b'n**(-17540/53)\n' | b'Simplify ((n*n/(n*n**(13/5))*n/(n*n**(1/5)))/(n**(-2/53)*n**(-15)/n*n))**(-25) assuming n is positive.\n' | b'n**(-17540/53)\n' | deepmind/math_dataset |
b'Let a = 7 + -5. Suppose 2*x + 12 = a*j - x, -4*j + 2*x = -16. Solve -2*f + 2 = -f, 2 = -4*k + j*f for k.\n' | b'1\n' | b'Let a = 7 + -5. Suppose 2*x + 12 = a*j - x, -4*j + 2*x = -16. Solve -2*f + 2 = -f, 2 = -4*k + j*f for k.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 4, z: 14}. Give prob of sequence zn.\n' | b'28/153\n' | b'Two letters picked without replacement from {n: 4, z: 14}. Give prob of sequence zn.\n' | b'28/153\n' | deepmind/math_dataset |
b'Let d(y) = y**3 - 5*y**2 - 2. Let x(k) = -k + 11. Let f be x(6). Give d(f).\n' | b'-2\n' | b'Let d(y) = y**3 - 5*y**2 - 2. Let x(k) = -k + 11. Let f be x(6). Give d(f).\n' | b'-2\n' | deepmind/math_dataset |
b'Let k(c) = 143*c**2 - c - 67*c**2 - 75*c**2 + 1. Let g be k(0). Solve -20 = 4*t + 4*r, g + 6 = -2*t + r for t.\n' | b'-4\n' | b'Let k(c) = 143*c**2 - c - 67*c**2 - 75*c**2 + 1. Let g be k(0). Solve -20 = 4*t + 4*r, g + 6 = -2*t + r for t.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 5*t = -4*a + 5, 3*t - 6*a - 40 = -a. Solve t*z = 4*q + q - 10, 0 = 5*z + 3*q - 22 for z.\n' | b'2\n' | b'Suppose 5*t = -4*a + 5, 3*t - 6*a - 40 = -a. Solve t*z = 4*q + q - 10, 0 = 5*z + 3*q - 22 for z.\n' | b'2\n' | deepmind/math_dataset |
b'Let d(q) = -34*q**2 - 52*q - 1. Let k(b) = -41*b**2 - 62*b. Let r(m) = -6*d(m) + 5*k(m). Let f(z) = -z - 11. Let l be f(-7). Give r(l).\n' | b'-18\n' | b'Let d(q) = -34*q**2 - 52*q - 1. Let k(b) = -41*b**2 - 62*b. Let r(m) = -6*d(m) + 5*k(m). Let f(z) = -z - 11. Let l be f(-7). Give r(l).\n' | b'-18\n' | deepmind/math_dataset |
b'What is prob of picking 2 y and 1 i when three letters picked without replacement from yyiyyyyyiyiyyy?\n' | b'165/364\n' | b'What is prob of picking 2 y and 1 i when three letters picked without replacement from yyiyyyyyiyiyyy?\n' | b'165/364\n' | deepmind/math_dataset |
b'What is prob of sequence dtj when three letters picked without replacement from {d: 1, j: 2, v: 1, t: 1, a: 1, k: 1}?\n' | b'1/105\n' | b'What is prob of sequence dtj when three letters picked without replacement from {d: 1, j: 2, v: 1, t: 1, a: 1, k: 1}?\n' | b'1/105\n' | deepmind/math_dataset |
b'Let c = 1 + 1. Suppose c*g = 6*g - 8. What is the second derivative of k + g*k**2 + k - k wrt k?\n' | b'4\n' | b'Let c = 1 + 1. Suppose c*g = 6*g - 8. What is the second derivative of k + g*k**2 + k - k wrt k?\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from cihcwcwfcwcp. What is prob of sequence iwc?\n' | b'1/88\n' | b'Three letters picked without replacement from cihcwcwfcwcp. What is prob of sequence iwc?\n' | b'1/88\n' | deepmind/math_dataset |
b'Simplify ((g*g/((g*(g/g**(-4/9)*g)/g)/g)*g)/(g/(g/g**(-2/5)))*(g**(-1/2))**(-2/147))**(-2/19) assuming g is positive.\n' | b'g**(-8654/41895)\n' | b'Simplify ((g*g/((g*(g/g**(-4/9)*g)/g)/g)*g)/(g/(g/g**(-2/5)))*(g**(-1/2))**(-2/147))**(-2/19) assuming g is positive.\n' | b'g**(-8654/41895)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from aaraaaaaaaaaa. Give prob of picking 2 a.\n' | b'11/13\n' | b'Two letters picked without replacement from aaraaaaaaaaaa. Give prob of picking 2 a.\n' | b'11/13\n' | deepmind/math_dataset |
b'Suppose -11*j + 5*j = -66. Find the second derivative of j*l**3 + 2*l**4 + 13*l**3 - 301*l + 302*l wrt l.\n' | b'24*l**2 + 144*l\n' | b'Suppose -11*j + 5*j = -66. Find the second derivative of j*l**3 + 2*l**4 + 13*l**3 - 301*l + 302*l wrt l.\n' | b'24*l**2 + 144*l\n' | deepmind/math_dataset |
b'Simplify (i*i*i**3*i/i**32*i**21*i*i/(i/(i*i**16))*i)**(11/3) assuming i is positive.\n' | b'i**(154/3)\n' | b'Simplify (i*i*i**3*i/i**32*i**21*i*i/(i/(i*i**16))*i)**(11/3) assuming i is positive.\n' | b'i**(154/3)\n' | deepmind/math_dataset |
b'What is prob of sequence sr when two letters picked without replacement from {c: 4, r: 7, s: 2, q: 4, x: 1}?\n' | b'7/153\n' | b'What is prob of sequence sr when two letters picked without replacement from {c: 4, r: 7, s: 2, q: 4, x: 1}?\n' | b'7/153\n' | deepmind/math_dataset |
b'Let h(o) be the first derivative of -1/5*o**5 + 0*o - 2 + 0*o**3 + 3/2*o**2 + 0*o**4. What is the second derivative of h(n) wrt n?\n' | b'-12*n**2\n' | b'Let h(o) be the first derivative of -1/5*o**5 + 0*o - 2 + 0*o**3 + 3/2*o**2 + 0*o**4. What is the second derivative of h(n) wrt n?\n' | b'-12*n**2\n' | deepmind/math_dataset |
b'Simplify (w**(-3/4)*w)**(-2/47)/((w*w*w**(-3)*w)/(w/w**(5/7))) assuming w is positive.\n' | b'w**(181/658)\n' | b'Simplify (w**(-3/4)*w)**(-2/47)/((w*w*w**(-3)*w)/(w/w**(5/7))) assuming w is positive.\n' | b'w**(181/658)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 1, t: 2, v: 4}. Give prob of picking 1 v and 1 y.\n' | b'4/21\n' | b'Two letters picked without replacement from {y: 1, t: 2, v: 4}. Give prob of picking 1 v and 1 y.\n' | b'4/21\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 b and 1 q when three letters picked without replacement from qqqbqbqq.\n' | b'3/28\n' | b'Calculate prob of picking 2 b and 1 q when three letters picked without replacement from qqqbqbqq.\n' | b'3/28\n' | deepmind/math_dataset |
b'Simplify (k**(-1/35)*k**(2/7)*k**9*k**44)**(3/14) assuming k is positive.\n' | b'k**(2796/245)\n' | b'Simplify (k**(-1/35)*k**(2/7)*k**9*k**44)**(3/14) assuming k is positive.\n' | b'k**(2796/245)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from aawggkgsgkskkgzaagz. Give prob of sequence ggk.\n' | b'20/969\n' | b'Three letters picked without replacement from aawggkgsgkskkgzaagz. Give prob of sequence ggk.\n' | b'20/969\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 1, f: 1, s: 2, h: 2, b: 4}. What is prob of sequence sh?\n' | b'2/45\n' | b'Two letters picked without replacement from {m: 1, f: 1, s: 2, h: 2, b: 4}. What is prob of sequence sh?\n' | b'2/45\n' | deepmind/math_dataset |
b'Let j(v) = v**2 + 91*v - 377. Let i be j(4). Solve i*h + 6*y = 4*y + 11, h - 21 = -5*y for h.\n' | b'1\n' | b'Let j(v) = v**2 + 91*v - 377. Let i be j(4). Solve i*h + 6*y = 4*y + 11, h - 21 = -5*y for h.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence qq when two letters picked without replacement from {q: 7, h: 1}.\n' | b'3/4\n' | b'Calculate prob of sequence qq when two letters picked without replacement from {q: 7, h: 1}.\n' | b'3/4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from tjjttjjttjttjttjttjj. Give prob of sequence jttj.\n' | b'22/323\n' | b'Four letters picked without replacement from tjjttjjttjttjttjttjj. Give prob of sequence jttj.\n' | b'22/323\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c and 1 p when two letters picked without replacement from sccssssjp.\n' | b'1/18\n' | b'Calculate prob of picking 1 c and 1 p when two letters picked without replacement from sccssssjp.\n' | b'1/18\n' | deepmind/math_dataset |
b'Simplify (h/(h*h**28)*h**2)**40 assuming h is positive.\n' | b'h**(-1040)\n' | b'Simplify (h/(h*h**28)*h**2)**40 assuming h is positive.\n' | b'h**(-1040)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from geeegege. Give prob of sequence gege.\n' | b'1/14\n' | b'Four letters picked without replacement from geeegege. Give prob of sequence gege.\n' | b'1/14\n' | deepmind/math_dataset |
b'Simplify ((y*y*y**(-3/4)/y)/y)**(-2/43)*(y/(y**(-3)*y))/y**(4/11) assuming y is positive.\n' | b'y**(2527/946)\n' | b'Simplify ((y*y*y**(-3/4)/y)/y)**(-2/43)*(y/(y**(-3)*y))/y**(4/11) assuming y is positive.\n' | b'y**(2527/946)\n' | deepmind/math_dataset |
b'Simplify ((((i*i**(4/3))/i)/i)**(-2/13))**(-20/9) assuming i is positive.\n' | b'i**(40/351)\n' | b'Simplify ((((i*i**(4/3))/i)/i)**(-2/13))**(-20/9) assuming i is positive.\n' | b'i**(40/351)\n' | deepmind/math_dataset |
b'What is prob of sequence xa when two letters picked without replacement from {w: 11, a: 2, n: 1, e: 1, x: 3}?\n' | b'1/51\n' | b'What is prob of sequence xa when two letters picked without replacement from {w: 11, a: 2, n: 1, e: 1, x: 3}?\n' | b'1/51\n' | deepmind/math_dataset |
b'Let y(v) be the second derivative of 2*v**7/21 - 23*v**5/10 - 965*v**3/3 + v**2 + 337*v. What is the second derivative of y(q) wrt q?\n' | b'80*q**3 - 276*q\n' | b'Let y(v) be the second derivative of 2*v**7/21 - 23*v**5/10 - 965*v**3/3 + v**2 + 337*v. What is the second derivative of y(q) wrt q?\n' | b'80*q**3 - 276*q\n' | deepmind/math_dataset |
b'Simplify (p*p/((p*p/(p*p*p**(-2)))/p)*p*p/(p*p/(p*p/p**(-10))*p))/(((p/(p/(p**29*p)))/p)/p)**(1/17) assuming p is positive.\n' | b'p**(176/17)\n' | b'Simplify (p*p/((p*p/(p*p*p**(-2)))/p)*p*p/(p*p/(p*p/p**(-10))*p))/(((p/(p/(p**29*p)))/p)/p)**(1/17) assuming p is positive.\n' | b'p**(176/17)\n' | deepmind/math_dataset |
b'Let j(n) = n**3 + 9*n**2 - 2*n - 15. Let m be j(-9). Solve -m*s + 5*s + u - 4 = 0, 24 = 5*s - u for s.\n' | b'4\n' | b'Let j(n) = n**3 + 9*n**2 - 2*n - 15. Let m be j(-9). Solve -m*s + 5*s + u - 4 = 0, 24 = 5*s - u for s.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 w when two letters picked without replacement from {m: 4, w: 5, y: 3}.\n' | b'5/33\n' | b'Calculate prob of picking 2 w when two letters picked without replacement from {m: 4, w: 5, y: 3}.\n' | b'5/33\n' | deepmind/math_dataset |
b'Let j(i) = 9180*i**2 - 13*i - 603. Let t(r) = 9183*r**2 - 11*r - 605. Let k(p) = -5*j(p) + 6*t(p). What is the second derivative of k(f) wrt f?\n' | b'18396\n' | b'Let j(i) = 9180*i**2 - 13*i - 603. Let t(r) = 9183*r**2 - 11*r - 605. Let k(p) = -5*j(p) + 6*t(p). What is the second derivative of k(f) wrt f?\n' | b'18396\n' | deepmind/math_dataset |
b'Simplify ((p/(p**4*p*p*p*p))/p)**(38/7)*p**(-10)/(p/p**18) assuming p is positive.\n' | b'p**(-255/7)\n' | b'Simplify ((p/(p**4*p*p*p*p))/p)**(38/7)*p**(-10)/(p/p**18) assuming p is positive.\n' | b'p**(-255/7)\n' | deepmind/math_dataset |
b'Suppose -y = 3*s - 4*y, 0 = -2*s + 5*y - 6. Solve -3*d - 2*r - 13 = 0, -s*d + r = 3*d + 13 for d.\n' | b'-3\n' | b'Suppose -y = 3*s - 4*y, 0 = -2*s + 5*y - 6. Solve -3*d - 2*r - 13 = 0, -s*d + r = 3*d + 13 for d.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((x**(-2))**(1/57))**(-49) assuming x is positive.\n' | b'x**(98/57)\n' | b'Simplify ((x**(-2))**(1/57))**(-49) assuming x is positive.\n' | b'x**(98/57)\n' | deepmind/math_dataset |
b'Let p be (-83)/(-3) - (-12 - (-315)/27). Differentiate -p*s**3 + 14*s + 11*s + 27*s**3 + 4 wrt s.\n' | b'-3*s**2 + 25\n' | b'Let p be (-83)/(-3) - (-12 - (-315)/27). Differentiate -p*s**3 + 14*s + 11*s + 27*s**3 + 4 wrt s.\n' | b'-3*s**2 + 25\n' | deepmind/math_dataset |
b'Suppose 15 = 5*o - 5. Suppose 3*l - o*p = 20, 2*p = -3 - 1. Suppose -5*x + 35 = 3*m - 17, 25 = 2*x - 3*m. Solve 5*c + i = x, -4*c + 13 + 15 = -l*i for c.\n' | b'3\n' | b'Suppose 15 = 5*o - 5. Suppose 3*l - o*p = 20, 2*p = -3 - 1. Suppose -5*x + 35 = 3*m - 17, 25 = 2*x - 3*m. Solve 5*c + i = x, -4*c + 13 + 15 = -l*i for c.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nveevvveevevneeee. What is prob of sequence nvv?\n' | b'1/68\n' | b'Three letters picked without replacement from nveevvveevevneeee. What is prob of sequence nvv?\n' | b'1/68\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 8, h: 2, i: 4}. Give prob of picking 1 i and 1 h.\n' | b'8/91\n' | b'Two letters picked without replacement from {t: 8, h: 2, i: 4}. Give prob of picking 1 i and 1 h.\n' | b'8/91\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 2, k: 12, h: 3}. Give prob of picking 2 h.\n' | b'3/136\n' | b'Two letters picked without replacement from {n: 2, k: 12, h: 3}. Give prob of picking 2 h.\n' | b'3/136\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rarrrbarararrrrar. Give prob of picking 2 r.\n' | b'55/136\n' | b'Two letters picked without replacement from rarrrbarararrrrar. Give prob of picking 2 r.\n' | b'55/136\n' | deepmind/math_dataset |
b'What is prob of sequence ssmm when four letters picked without replacement from {s: 5, e: 3, m: 2}?\n' | b'1/126\n' | b'What is prob of sequence ssmm when four letters picked without replacement from {s: 5, e: 3, m: 2}?\n' | b'1/126\n' | deepmind/math_dataset |
b'Let l(t) = t**3 + 8*t**2 + 8. Suppose 3*g = 4*s + 34, 4*g + 25 - 33 = 0. Determine l(s).\n' | b'57\n' | b'Let l(t) = t**3 + 8*t**2 + 8. Suppose 3*g = 4*s + 34, 4*g + 25 - 33 = 0. Determine l(s).\n' | b'57\n' | deepmind/math_dataset |
b'Three letters picked without replacement from pvpvhvvvpvpvhhpv. Give prob of picking 1 p and 2 h.\n' | b'3/112\n' | b'Three letters picked without replacement from pvpvhvvvpvpvhhpv. Give prob of picking 1 p and 2 h.\n' | b'3/112\n' | deepmind/math_dataset |
b'Two letters picked without replacement from uurouourrutuuy. Give prob of sequence ro.\n' | b'3/91\n' | b'Two letters picked without replacement from uurouourrutuuy. Give prob of sequence ro.\n' | b'3/91\n' | deepmind/math_dataset |
b'Let z = -46 - -56. Suppose -z = 2*j - 16. Let r(l) = l**j - 13 + 0*l**3 + 12. Calculate r(1).\n' | b'0\n' | b'Let z = -46 - -56. Suppose -z = 2*j - 16. Let r(l) = l**j - 13 + 0*l**3 + 12. Calculate r(1).\n' | b'0\n' | deepmind/math_dataset |
b'Simplify s**(1/14)*s/s**(-1/2) assuming s is positive.\n' | b's**(11/7)\n' | b'Simplify s**(1/14)*s/s**(-1/2) assuming s is positive.\n' | b's**(11/7)\n' | deepmind/math_dataset |
b'What is prob of picking 2 s when two letters picked without replacement from ssssssssssdssssssssd?\n' | b'153/190\n' | b'What is prob of picking 2 s when two letters picked without replacement from ssssssssssdssssssssd?\n' | b'153/190\n' | deepmind/math_dataset |
b'What is prob of picking 1 t and 1 l when two letters picked without replacement from {k: 2, r: 2, t: 13, s: 1, l: 2}?\n' | b'13/95\n' | b'What is prob of picking 1 t and 1 l when two letters picked without replacement from {k: 2, r: 2, t: 13, s: 1, l: 2}?\n' | b'13/95\n' | deepmind/math_dataset |
b'Let c(z) be the first derivative of 3*z**2 + 16*z + 922. What is c(-7)?\n' | b'-26\n' | b'Let c(z) be the first derivative of 3*z**2 + 16*z + 922. What is c(-7)?\n' | b'-26\n' | deepmind/math_dataset |
b'Let x = -6633 - -6633. Let g(w) be the first derivative of 17 + x*w**3 - 1/2*w**4 + 13*w + 0*w**2. What is the derivative of g(r) wrt r?\n' | b'-6*r**2\n' | b'Let x = -6633 - -6633. Let g(w) be the first derivative of 17 + x*w**3 - 1/2*w**4 + 13*w + 0*w**2. What is the derivative of g(r) wrt r?\n' | b'-6*r**2\n' | deepmind/math_dataset |
b'What is prob of sequence kkk when three letters picked without replacement from jjjjjkk?\n' | b'0\n' | b'What is prob of sequence kkk when three letters picked without replacement from jjjjjkk?\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 4*p - 18 - 86 = 0. Suppose -5*k + 4*y + p = 0, 0 = 5*k - 0*y + 5*y + 10. What is the third derivative of 0*q**2 + 2*q**2 - q**6 - k*q**2 + q**2 wrt q?\n' | b'-120*q**3\n' | b'Suppose 4*p - 18 - 86 = 0. Suppose -5*k + 4*y + p = 0, 0 = 5*k - 0*y + 5*y + 10. What is the third derivative of 0*q**2 + 2*q**2 - q**6 - k*q**2 + q**2 wrt q?\n' | b'-120*q**3\n' | deepmind/math_dataset |
b'Let p(w) be the first derivative of -8*w**2 + 16*w - 3. Differentiate p(h) with respect to h.\n' | b'-16\n' | b'Let p(w) be the first derivative of -8*w**2 + 16*w - 3. Differentiate p(h) with respect to h.\n' | b'-16\n' | deepmind/math_dataset |
b'Two letters picked without replacement from torottmtrtfomtotot. What is prob of picking 1 o and 1 t?\n' | b'40/153\n' | b'Two letters picked without replacement from torottmtrtfomtotot. What is prob of picking 1 o and 1 t?\n' | b'40/153\n' | deepmind/math_dataset |
b'What is prob of sequence rvr when three letters picked without replacement from rrv?\n' | b'1/3\n' | b'What is prob of sequence rvr when three letters picked without replacement from rrv?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let h(x) be the first derivative of 0*x**3 - 17*x + 0*x**2 + 0*x**4 + 141 + 33/5*x**5. Differentiate h(j) with respect to j.\n' | b'132*j**3\n' | b'Let h(x) be the first derivative of 0*x**3 - 17*x + 0*x**2 + 0*x**4 + 141 + 33/5*x**5. Differentiate h(j) with respect to j.\n' | b'132*j**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 a and 1 h when four letters picked without replacement from {a: 4, h: 5, q: 6}.\n' | b'4/273\n' | b'Calculate prob of picking 3 a and 1 h when four letters picked without replacement from {a: 4, h: 5, q: 6}.\n' | b'4/273\n' | deepmind/math_dataset |
b'What is prob of sequence mu when two letters picked without replacement from {x: 1, u: 1, m: 1, p: 1, j: 2, w: 1}?\n' | b'1/42\n' | b'What is prob of sequence mu when two letters picked without replacement from {x: 1, u: 1, m: 1, p: 1, j: 2, w: 1}?\n' | b'1/42\n' | deepmind/math_dataset |
b'Let m(g) = g. Let b be m(-3). Let j = b + 6. Let h(p) = p**3 - 3*p**2 + 3*p. Let y be h(j). Solve -4*k - y = -3*k - 3*u, 2*u - 16 = 4*k for k.\n' | b'-3\n' | b'Let m(g) = g. Let b be m(-3). Let j = b + 6. Let h(p) = p**3 - 3*p**2 + 3*p. Let y be h(j). Solve -4*k - y = -3*k - 3*u, 2*u - 16 = 4*k for k.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rxxmxmxmxxrrrkxr. What is prob of picking 1 k and 1 r?\n' | b'1/24\n' | b'Two letters picked without replacement from rxxmxmxmxxrrrkxr. What is prob of picking 1 k and 1 r?\n' | b'1/24\n' | deepmind/math_dataset |
b'Let y(q) be the second derivative of q**9/5040 - q**5/40 - q**4/6 - 2*q. Let l(j) be the third derivative of y(j). Differentiate l(a) with respect to a.\n' | b'12*a**3\n' | b'Let y(q) be the second derivative of q**9/5040 - q**5/40 - q**4/6 - 2*q. Let l(j) be the third derivative of y(j). Differentiate l(a) with respect to a.\n' | b'12*a**3\n' | deepmind/math_dataset |
b'Let w(s) = 3*s**2 + 8*s + 8. Let l(v) = -4*v**2 - 9*v - 9. Let h(k) = 4*l(k) + 5*w(k). Calculate h(6).\n' | b'-8\n' | b'Let w(s) = 3*s**2 + 8*s + 8. Let l(v) = -4*v**2 - 9*v - 9. Let h(k) = 4*l(k) + 5*w(k). Calculate h(6).\n' | b'-8\n' | deepmind/math_dataset |
b'Let o(w) = -3*w - 28. Let t be o(-10). Differentiate -20*i**2 + 2 - 21*i**t - 29 with respect to i.\n' | b'-82*i\n' | b'Let o(w) = -3*w - 28. Let t be o(-10). Differentiate -20*i**2 + 2 - 21*i**t - 29 with respect to i.\n' | b'-82*i\n' | deepmind/math_dataset |
b'Calculate prob of sequence hhz when three letters picked without replacement from {x: 4, z: 1, h: 3}.\n' | b'1/56\n' | b'Calculate prob of sequence hhz when three letters picked without replacement from {x: 4, z: 1, h: 3}.\n' | b'1/56\n' | deepmind/math_dataset |
b'Let z = 79 - 165. Let d = z + 80. Let b(o) = o**2 + 5*o - 12. Let l be b(d). Let g(f) = -3*f - 7. Determine g(l).\n' | b'11\n' | b'Let z = 79 - 165. Let d = z + 80. Let b(o) = o**2 + 5*o - 12. Let l be b(d). Let g(f) = -3*f - 7. Determine g(l).\n' | b'11\n' | deepmind/math_dataset |
b'Calculate prob of sequence bb when two letters picked without replacement from {b: 12, y: 7}.\n' | b'22/57\n' | b'Calculate prob of sequence bb when two letters picked without replacement from {b: 12, y: 7}.\n' | b'22/57\n' | deepmind/math_dataset |
b'What is prob of picking 2 r when two letters picked without replacement from osssrrrrssrrrrrsrsrr?\n' | b'33/95\n' | b'What is prob of picking 2 r when two letters picked without replacement from osssrrrrssrrrrrsrsrr?\n' | b'33/95\n' | deepmind/math_dataset |
b'Let v(i) = i - 4. Suppose -5*a + 29 = -4*b, 2*a + 2*a = 2*b + 22. Suppose 5*d = -a*l, 4*d = -2 - 6. Calculate v(l).\n' | b'-2\n' | b'Let v(i) = i - 4. Suppose -5*a + 29 = -4*b, 2*a + 2*a = 2*b + 22. Suppose 5*d = -a*l, 4*d = -2 - 6. Calculate v(l).\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 2, d: 4}. Give prob of picking 2 d.\n' | b'2/5\n' | b'Two letters picked without replacement from {z: 2, d: 4}. Give prob of picking 2 d.\n' | b'2/5\n' | deepmind/math_dataset |
b'Simplify j**7*j**(2/7)/j*j assuming j is positive.\n' | b'j**(51/7)\n' | b'Simplify j**7*j**(2/7)/j*j assuming j is positive.\n' | b'j**(51/7)\n' | deepmind/math_dataset |
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