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'Simplify ((((b*b*b**(-1/5))**37)**10)**(39/7))**(-3/4) assuming b is positive.\n' | b'b**(-38961/14)\n' | b'Simplify ((((b*b*b**(-1/5))**37)**10)**(39/7))**(-3/4) assuming b is positive.\n' | b'b**(-38961/14)\n' | deepmind/math_dataset |
b'Suppose -5*g + 2*g = -3*c + 12, 5*c - 4*g = 19. Suppose 3*v - 2*x - c = 0, -6*v + 2*x = -v - 9. Solve -v*y - 1 = -4*i - 6, -2*y + 6 = -4*i for i.\n' | b'-2\n' | b'Suppose -5*g + 2*g = -3*c + 12, 5*c - 4*g = 19. Suppose 3*v - 2*x - c = 0, -6*v + 2*x = -v - 9. Solve -v*y - 1 = -4*i - 6, -2*y + 6 = -4*i for i.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 2 x and 2 t when four letters picked without replacement from {x: 4, t: 5, d: 1}?\n' | b'2/7\n' | b'What is prob of picking 2 x and 2 t when four letters picked without replacement from {x: 4, t: 5, d: 1}?\n' | b'2/7\n' | deepmind/math_dataset |
b'Suppose -5*f + 19 = 4*v, 3*v = -3*f + 11 + 1. Solve -5*c + 2*t + 2 = -0, 2 = f*c - 2*t for c.\n' | b'0\n' | b'Suppose -5*f + 19 = 4*v, 3*v = -3*f + 11 + 1. Solve -5*c + 2*t + 2 = -0, 2 = f*c - 2*t for c.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence xxg when three letters picked without replacement from gaigaagxyiaxgxaa.\n' | b'1/140\n' | b'Calculate prob of sequence xxg when three letters picked without replacement from gaigaagxyiaxgxaa.\n' | b'1/140\n' | deepmind/math_dataset |
b'Simplify (g**0*g**(-3/5))/(g**(3/5)*g**4/g)*(g**(-1/2)/g)**(6/11)*g**(-3/2)*(g/g**(-9/5))/g assuming g is positive.\n' | b'g**(-519/110)\n' | b'Simplify (g**0*g**(-3/5))/(g**(3/5)*g**4/g)*(g**(-1/2)/g)**(6/11)*g**(-3/2)*(g/g**(-9/5))/g assuming g is positive.\n' | b'g**(-519/110)\n' | deepmind/math_dataset |
b'What is prob of picking 1 c and 1 k when two letters picked without replacement from {c: 1, y: 1, k: 7}?\n' | b'7/36\n' | b'What is prob of picking 1 c and 1 k when two letters picked without replacement from {c: 1, y: 1, k: 7}?\n' | b'7/36\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qoohupk. What is prob of sequence uoo?\n' | b'1/105\n' | b'Three letters picked without replacement from qoohupk. What is prob of sequence uoo?\n' | b'1/105\n' | deepmind/math_dataset |
b'Let s = 19 + -35. Let y = 18 + s. Solve -2*i + 0*i - 5*z = -3, 3*i + y*z + 1 = 0 for i.\n' | b'-1\n' | b'Let s = 19 + -35. Let y = 18 + s. Solve -2*i + 0*i - 5*z = -3, 3*i + y*z + 1 = 0 for i.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((g**(1/2))**(2/67)*g/g**(-1/11)*g**(-4/11))/((g**(-2/7))**(1/48)*g**(-4/7)/g**(2/9)) assuming g is positive.\n' | b'g**(572699/371448)\n' | b'Simplify ((g**(1/2))**(2/67)*g/g**(-1/11)*g**(-4/11))/((g**(-2/7))**(1/48)*g**(-4/7)/g**(2/9)) assuming g is positive.\n' | b'g**(572699/371448)\n' | deepmind/math_dataset |
b'Simplify j/(j*(j**(1/12)*j)/j*j)*j**7*j assuming j is positive.\n' | b'j**(83/12)\n' | b'Simplify j/(j*(j**(1/12)*j)/j*j)*j**7*j assuming j is positive.\n' | b'j**(83/12)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from zoprzpt. Give prob of picking 2 z and 2 p.\n' | b'1/35\n' | b'Four letters picked without replacement from zoprzpt. Give prob of picking 2 z and 2 p.\n' | b'1/35\n' | deepmind/math_dataset |
b'Simplify d**(1/3)/d**(2/21)*(d*d**2)**11 assuming d is positive.\n' | b'd**(698/21)\n' | b'Simplify d**(1/3)/d**(2/21)*(d*d**2)**11 assuming d is positive.\n' | b'd**(698/21)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ba when two letters picked without replacement from aacbbbcwabc.\n' | b'6/55\n' | b'Calculate prob of sequence ba when two letters picked without replacement from aacbbbcwabc.\n' | b'6/55\n' | deepmind/math_dataset |
b'Three letters picked without replacement from eaaeaadttddaaadentd. What is prob of picking 2 t and 1 n?\n' | b'1/323\n' | b'Three letters picked without replacement from eaaeaadttddaaadentd. What is prob of picking 2 t and 1 n?\n' | b'1/323\n' | deepmind/math_dataset |
b'What is prob of sequence vv when two letters picked without replacement from lnpvnvvlllvvvplnvlvl?\n' | b'14/95\n' | b'What is prob of sequence vv when two letters picked without replacement from lnpvnvvlllvvvplnvlvl?\n' | b'14/95\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {c: 5, m: 1, a: 3}. What is prob of picking 1 a and 2 c?\n' | b'5/14\n' | b'Three letters picked without replacement from {c: 5, m: 1, a: 3}. What is prob of picking 1 a and 2 c?\n' | b'5/14\n' | deepmind/math_dataset |
b'Let u(h) be the third derivative of -h**4/24 - h**3/6 + 3*h**2. Let k be u(-4). What is the second derivative of 2*m**k + 9*m - 2*m**4 - 10*m - 2*m**3 wrt m?\n' | b'-24*m**2\n' | b'Let u(h) be the third derivative of -h**4/24 - h**3/6 + 3*h**2. Let k be u(-4). What is the second derivative of 2*m**k + 9*m - 2*m**4 - 10*m - 2*m**3 wrt m?\n' | b'-24*m**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k, 1 w, and 1 i when three letters picked without replacement from wffkzifwfkwzkfkkfk.\n' | b'3/136\n' | b'Calculate prob of picking 1 k, 1 w, and 1 i when three letters picked without replacement from wffkzifwfkwzkfkkfk.\n' | b'3/136\n' | deepmind/math_dataset |
b'Let q(w) be the first derivative of w**4/2 + 7*w**3/3 - 5*w**2/2 + w - 323. What is q(-4)?\n' | b'5\n' | b'Let q(w) be the first derivative of w**4/2 + 7*w**3/3 - 5*w**2/2 + w - 323. What is q(-4)?\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence coco when four letters picked without replacement from {e: 9, o: 2, v: 3, c: 2}.\n' | b'1/10920\n' | b'Calculate prob of sequence coco when four letters picked without replacement from {e: 9, o: 2, v: 3, c: 2}.\n' | b'1/10920\n' | deepmind/math_dataset |
b'Three letters picked without replacement from lkp. Give prob of sequence plk.\n' | b'1/6\n' | b'Three letters picked without replacement from lkp. Give prob of sequence plk.\n' | b'1/6\n' | deepmind/math_dataset |
b'Simplify ((j**(-3/5)*j/(j/((j**4*j)/j)))/(j**(-2)/j**(-2/3)))/((j**(3/8)*j)/j*j/(j*j/(j/(j/j**(-2/17)*j*j))))**(-3/31) assuming j is positive.\n' | b'j**(282551/63240)\n' | b'Simplify ((j**(-3/5)*j/(j/((j**4*j)/j)))/(j**(-2)/j**(-2/3)))/((j**(3/8)*j)/j*j/(j*j/(j/(j/j**(-2/17)*j*j))))**(-3/31) assuming j is positive.\n' | b'j**(282551/63240)\n' | deepmind/math_dataset |
b'Let r = -111 - -334/3. Let d(m) be the first derivative of 0*m**2 + 0*m + 2/3*m**6 - 1 + 0*m**5 + 0*m**4 + r*m**3. Find the third derivative of d(i) wrt i.\n' | b'240*i**2\n' | b'Let r = -111 - -334/3. Let d(m) be the first derivative of 0*m**2 + 0*m + 2/3*m**6 - 1 + 0*m**5 + 0*m**4 + r*m**3. Find the third derivative of d(i) wrt i.\n' | b'240*i**2\n' | deepmind/math_dataset |
b'Let q be 54/(-12)*(-28)/6. Let v = 21 - q. Solve -5*o + 3*o + u + 1 = v, -4*o + u - 3 = 0 for o.\n' | b'-2\n' | b'Let q be 54/(-12)*(-28)/6. Let v = 21 - q. Solve -5*o + 3*o + u + 1 = v, -4*o + u - 3 = 0 for o.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -o - 10 = -3*o. Let h = -3 + o. Differentiate -4*b**h + 0 + 2*b**2 + 1 with respect to b.\n' | b'-4*b\n' | b'Suppose -o - 10 = -3*o. Let h = -3 + o. Differentiate -4*b**h + 0 + 2*b**2 + 1 with respect to b.\n' | b'-4*b\n' | deepmind/math_dataset |
b'Suppose 11 = 5*f - n - 13, -f + 8 = 3*n. Suppose -4*c + f - 49 = 0. Let g = c + 15. Solve -2*y = -4*u - 1 - 11, -4 = 3*u - g*y for u.\n' | b'-4\n' | b'Suppose 11 = 5*f - n - 13, -f + 8 = 3*n. Suppose -4*c + f - 49 = 0. Let g = c + 15. Solve -2*y = -4*u - 1 - 11, -4 = 3*u - g*y for u.\n' | b'-4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from iyuuaayauuuiuumqyu. What is prob of picking 1 m, 1 a, and 1 u?\n' | b'1/34\n' | b'Three letters picked without replacement from iyuuaayauuuiuumqyu. What is prob of picking 1 m, 1 a, and 1 u?\n' | b'1/34\n' | deepmind/math_dataset |
b'Let u(i) = -i**2 + 6*i - 5. Let h be u(4). Let v(q) be the first derivative of 3 + 0*q - 1/2*q**4 + 1/3*q**h + 0*q**2. Find the third derivative of v(r) wrt r.\n' | b'-12\n' | b'Let u(i) = -i**2 + 6*i - 5. Let h be u(4). Let v(q) be the first derivative of 3 + 0*q - 1/2*q**4 + 1/3*q**h + 0*q**2. Find the third derivative of v(r) wrt r.\n' | b'-12\n' | deepmind/math_dataset |
b'Suppose 159 = 87*r - 189. Solve -12 = -5*a - 3*o + 7, 0 = -5*a + 2*o + r for a.\n' | b'2\n' | b'Suppose 159 = 87*r - 189. Solve -12 = -5*a - 3*o + 7, 0 = -5*a + 2*o + r for a.\n' | b'2\n' | deepmind/math_dataset |
b'Let m(a) = a**2 + 9*a + 5. Let q be m(-9). Let u = -8 + q. Let d = 7 + u. Solve -d*o + 2 = 4*t - 3*o, -t = 4*o - 8 for t.\n' | b'0\n' | b'Let m(a) = a**2 + 9*a + 5. Let q be m(-9). Let u = -8 + q. Let d = 7 + u. Solve -d*o + 2 = 4*t - 3*o, -t = 4*o - 8 for t.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence sk when two letters picked without replacement from {k: 4, g: 7, c: 1, s: 2, y: 1}.\n' | b'4/105\n' | b'Calculate prob of sequence sk when two letters picked without replacement from {k: 4, g: 7, c: 1, s: 2, y: 1}.\n' | b'4/105\n' | deepmind/math_dataset |
b'Simplify (j/(j/j**0))**(-7)/(j**(-2)/(j*j/(j*j/(j/j**(-3/4))))) assuming j is positive.\n' | b'j**(15/4)\n' | b'Simplify (j/(j/j**0))**(-7)/(j**(-2)/(j*j/(j*j/(j/j**(-3/4))))) assuming j is positive.\n' | b'j**(15/4)\n' | deepmind/math_dataset |
b'Suppose 5*a + 15 = 2*a. Suppose -5*d = -2*c + 11 + 3, 2*d = 3*c + 1. Let r be a/(c/(-3))*1. Let k(s) = s**2 + 6*s + 7. What is k(r)?\n' | b'2\n' | b'Suppose 5*a + 15 = 2*a. Suppose -5*d = -2*c + 11 + 3, 2*d = 3*c + 1. Let r be a/(c/(-3))*1. Let k(s) = s**2 + 6*s + 7. What is k(r)?\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((x/(x/x**(4/7)))/x)/(x/(x/x**(2/49)*x)) assuming x is positive.\n' | b'x**(26/49)\n' | b'Simplify ((x/(x/x**(4/7)))/x)/(x/(x/x**(2/49)*x)) assuming x is positive.\n' | b'x**(26/49)\n' | deepmind/math_dataset |
b'Simplify (((f**0)**(2/19)*f**7*f*(f*f**(-2/7))/f)**(-5/3))**(2/85) assuming f is positive.\n' | b'f**(-36/119)\n' | b'Simplify (((f**0)**(2/19)*f**7*f*(f*f**(-2/7))/f)**(-5/3))**(2/85) assuming f is positive.\n' | b'f**(-36/119)\n' | deepmind/math_dataset |
b'Let f(p) be the second derivative of 61*p**4/24 + 6*p**3 - 11*p**2 + 48*p. Let y(t) be the first derivative of f(t). Differentiate y(l) wrt l.\n' | b'61\n' | b'Let f(p) be the second derivative of 61*p**4/24 + 6*p**3 - 11*p**2 + 48*p. Let y(t) be the first derivative of f(t). Differentiate y(l) wrt l.\n' | b'61\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 5, x: 3, b: 4}. Give prob of sequence fxx.\n' | b'1/44\n' | b'Three letters picked without replacement from {f: 5, x: 3, b: 4}. Give prob of sequence fxx.\n' | b'1/44\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 2, q: 1, i: 3, l: 2, z: 4}. What is prob of sequence iz?\n' | b'1/11\n' | b'Two letters picked without replacement from {t: 2, q: 1, i: 3, l: 2, z: 4}. What is prob of sequence iz?\n' | b'1/11\n' | deepmind/math_dataset |
b'Let x(q) = 3*q - 17. Let y be x(8). What is the second derivative of 10*m**4 + 5*m - y*m**4 - 13*m wrt m?\n' | b'36*m**2\n' | b'Let x(q) = 3*q - 17. Let y be x(8). What is the second derivative of 10*m**4 + 5*m - y*m**4 - 13*m wrt m?\n' | b'36*m**2\n' | deepmind/math_dataset |
b'Simplify (v/(v/v**(-6))*v**7)**34/((v**(-1/3))**(1/5))**(1/2) assuming v is positive.\n' | b'v**(1021/30)\n' | b'Simplify (v/(v/v**(-6))*v**7)**34/((v**(-1/3))**(1/5))**(1/2) assuming v is positive.\n' | b'v**(1021/30)\n' | deepmind/math_dataset |
b'Let g(d) be the first derivative of d**2 - 8*d + 3. Let m(z) = -3*z + 15. Let q(f) = -9*g(f) - 5*m(f). Differentiate q(l) wrt l.\n' | b'-3\n' | b'Let g(d) be the first derivative of d**2 - 8*d + 3. Let m(z) = -3*z + 15. Let q(f) = -9*g(f) - 5*m(f). Differentiate q(l) wrt l.\n' | b'-3\n' | deepmind/math_dataset |
b'Let d(y) = 28*y**2 - 4*y. Let w(j) = -84*j**2 + 11*j. Let q(s) = -8*d(s) - 3*w(s). Find the second derivative of q(k) wrt k.\n' | b'56\n' | b'Let d(y) = 28*y**2 - 4*y. Let w(j) = -84*j**2 + 11*j. Let q(s) = -8*d(s) - 3*w(s). Find the second derivative of q(k) wrt k.\n' | b'56\n' | deepmind/math_dataset |
b'Let k(c) = -4*c. Let n(t) = 4*t**2 - 3*t - 2. Let m = 2 - -1. Let i be n(m). Suppose -4*o = -g + 17, 0*o = 5*g - 5*o - i. Determine k(g).\n' | b'-4\n' | b'Let k(c) = -4*c. Let n(t) = 4*t**2 - 3*t - 2. Let m = 2 - -1. Let i be n(m). Suppose -4*o = -g + 17, 0*o = 5*g - 5*o - i. Determine k(g).\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 2, d: 1, n: 6, g: 7, f: 2}. What is prob of sequence nfaa?\n' | b'1/3060\n' | b'Four letters picked without replacement from {a: 2, d: 1, n: 6, g: 7, f: 2}. What is prob of sequence nfaa?\n' | b'1/3060\n' | deepmind/math_dataset |
b'Suppose 5*n = -4*t - 54 + 49, -4*n - 35 = -3*t. Solve -2 = -3*o - 2*f, -5*o - 3*f - 2*f = t for o.\n' | b'4\n' | b'Suppose 5*n = -4*t - 54 + 49, -4*n - 35 = -3*t. Solve -2 = -3*o - 2*f, -5*o - 3*f - 2*f = t for o.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of picking 1 z and 2 w when three letters picked without replacement from {x: 6, w: 4, z: 5}?\n' | b'6/91\n' | b'What is prob of picking 1 z and 2 w when three letters picked without replacement from {x: 6, w: 4, z: 5}?\n' | b'6/91\n' | deepmind/math_dataset |
b'Let o(g) = -13*g + 15. Let a(j) be the second derivative of -j**3/6 + 17*j. Let u(l) = 4*a(l) + o(l). What is the first derivative of u(d) wrt d?\n' | b'-17\n' | b'Let o(g) = -13*g + 15. Let a(j) be the second derivative of -j**3/6 + 17*j. Let u(l) = 4*a(l) + o(l). What is the first derivative of u(d) wrt d?\n' | b'-17\n' | deepmind/math_dataset |
b'Suppose 0 = -29*g + 27*g + 10. Solve 5*p = g*q - 0*p + 10, -7 = 2*q + p for q.\n' | b'-3\n' | b'Suppose 0 = -29*g + 27*g + 10. Solve 5*p = g*q - 0*p + 10, -7 = 2*q + p for q.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (l*(l/l**25)/l*l)/l*l**(1/2) assuming l is positive.\n' | b'l**(-47/2)\n' | b'Simplify (l*(l/l**25)/l*l)/l*l**(1/2) assuming l is positive.\n' | b'l**(-47/2)\n' | deepmind/math_dataset |
b'Simplify x**(1/13)*x**(9/2)*((x**(-14)*x)/x)**(-2/77) assuming x is positive.\n' | b'x**(1413/286)\n' | b'Simplify x**(1/13)*x**(9/2)*((x**(-14)*x)/x)**(-2/77) assuming x is positive.\n' | b'x**(1413/286)\n' | deepmind/math_dataset |
b'Find the third derivative of 3*g**3 - 143266*g**5 - 3*g**3 + 2044*g**2 + 142129*g**5 + 302*g**2 wrt g.\n' | b'-68220*g**2\n' | b'Find the third derivative of 3*g**3 - 143266*g**5 - 3*g**3 + 2044*g**2 + 142129*g**5 + 302*g**2 wrt g.\n' | b'-68220*g**2\n' | deepmind/math_dataset |
b'Let l(d) = 21*d**2 - 420*d - 3935. Let g(i) = 33*i**2 - 631*i - 5903. Let a(u) = -5*g(u) + 8*l(u). Differentiate a(p) wrt p.\n' | b'6*p - 205\n' | b'Let l(d) = 21*d**2 - 420*d - 3935. Let g(i) = 33*i**2 - 631*i - 5903. Let a(u) = -5*g(u) + 8*l(u). Differentiate a(p) wrt p.\n' | b'6*p - 205\n' | deepmind/math_dataset |
b'Simplify (((f/((f/(((f*f**(-11))/f)/f))/f))/((f**(-7)/f)/f))/(f**4)**14)**3 assuming f is positive.\n' | b'f**(-174)\n' | b'Simplify (((f/((f/(((f*f**(-11))/f)/f))/f))/((f**(-7)/f)/f))/(f**4)**14)**3 assuming f is positive.\n' | b'f**(-174)\n' | deepmind/math_dataset |
b'Suppose -2 = g + 2*h, 0*g + 4*g + 1 = -h. Suppose g = 2*j + 3*j - 60. What is the second derivative of 0*o + 7*o**5 + j*o - 4*o wrt o?\n' | b'140*o**3\n' | b'Suppose -2 = g + 2*h, 0*g + 4*g + 1 = -h. Suppose g = 2*j + 3*j - 60. What is the second derivative of 0*o + 7*o**5 + j*o - 4*o wrt o?\n' | b'140*o**3\n' | deepmind/math_dataset |
b'Suppose 4*j - 5*t = -4*t + 29, 0 = -3*j - 5*t + 39. Suppose -2*l + 3*m = j*m - 14, -6 = l - 4*m. Let a(v) = -v**3 + 2*v**2 - 3*v. Give a(l).\n' | b'-6\n' | b'Suppose 4*j - 5*t = -4*t + 29, 0 = -3*j - 5*t + 39. Suppose -2*l + 3*m = j*m - 14, -6 = l - 4*m. Let a(v) = -v**3 + 2*v**2 - 3*v. Give a(l).\n' | b'-6\n' | deepmind/math_dataset |
b'Let h(p) = 8*p - 3. Let r(w) = w**2 - 17*w + 5. Let o(m) = 5*h(m) + 3*r(m). What is the second derivative of o(c) wrt c?\n' | b'6\n' | b'Let h(p) = 8*p - 3. Let r(w) = w**2 - 17*w + 5. Let o(m) = 5*h(m) + 3*r(m). What is the second derivative of o(c) wrt c?\n' | b'6\n' | deepmind/math_dataset |
b'Suppose m + p = 5*p, 5*p - 21 = -4*m. What is the derivative of 16 - 22*d**2 + d**2 - 33*d**3 + 3*d**m + 33*d**3 + 183 wrt d?\n' | b'12*d**3 - 42*d\n' | b'Suppose m + p = 5*p, 5*p - 21 = -4*m. What is the derivative of 16 - 22*d**2 + d**2 - 33*d**3 + 3*d**m + 33*d**3 + 183 wrt d?\n' | b'12*d**3 - 42*d\n' | deepmind/math_dataset |
b'Let b(c) = c**3 + 17*c**2 + 21*c + 85. Let s be b(-16). Solve s*p = -5*a - 10, 0 = 25*p - 24*p - 5*a + 20 for p.\n' | b'-5\n' | b'Let b(c) = c**3 + 17*c**2 + 21*c + 85. Let s be b(-16). Solve s*p = -5*a - 10, 0 = 25*p - 24*p - 5*a + 20 for p.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose t = 2*m - 0 - 4, -2 = -m - 4*t. Suppose -4*g = -m*y - 8, -4*g + 3*y + 1 + 5 = 0. Solve 2*b = 5*w, -w = -g*b - b for b.\n' | b'0\n' | b'Suppose t = 2*m - 0 - 4, -2 = -m - 4*t. Suppose -4*g = -m*y - 8, -4*g + 3*y + 1 + 5 = 0. Solve 2*b = 5*w, -w = -g*b - b for b.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {d: 4, t: 7}. Give prob of picking 2 d and 1 t.\n' | b'14/55\n' | b'Three letters picked without replacement from {d: 4, t: 7}. Give prob of picking 2 d and 1 t.\n' | b'14/55\n' | deepmind/math_dataset |
b'Calculate prob of sequence px when two letters picked without replacement from evkpx.\n' | b'1/20\n' | b'Calculate prob of sequence px when two letters picked without replacement from evkpx.\n' | b'1/20\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yezoooeygggogyyxyyy. What is prob of sequence yx?\n' | b'7/342\n' | b'Two letters picked without replacement from yezoooeygggogyyxyyy. What is prob of sequence yx?\n' | b'7/342\n' | deepmind/math_dataset |
b'Let m = 144 - 142. Solve 2*a + 4 = 4*x, -3*x = 5*a - m - 1 for x.\n' | b'1\n' | b'Let m = 144 - 142. Solve 2*a + 4 = 4*x, -3*x = 5*a - m - 1 for x.\n' | b'1\n' | deepmind/math_dataset |
b'Let q(y) = 2*y + 4. Suppose 0*d - 40 = -5*d. Let c(k) = 4 + 4*k**2 - 2*k**2 + 7*k - 8*k**2 + 5*k**2. Let j be c(d). Determine q(j).\n' | b'-4\n' | b'Let q(y) = 2*y + 4. Suppose 0*d - 40 = -5*d. Let c(k) = 4 + 4*k**2 - 2*k**2 + 7*k - 8*k**2 + 5*k**2. Let j be c(d). Determine q(j).\n' | b'-4\n' | deepmind/math_dataset |
b'Let c = -15 + 12. Let i(d) = -2 + 0 + 4 + 3*d. Calculate i(c).\n' | b'-7\n' | b'Let c = -15 + 12. Let i(d) = -2 + 0 + 4 + 3*d. Calculate i(c).\n' | b'-7\n' | deepmind/math_dataset |
b'Let g = 49 - 45. Differentiate -24*c + g*c**3 - 30*c + 2 + 54*c wrt c.\n' | b'12*c**2\n' | b'Let g = 49 - 45. Differentiate -24*c + g*c**3 - 30*c + 2 + 54*c wrt c.\n' | b'12*c**2\n' | deepmind/math_dataset |
b'Simplify (((s**8/s*s)/s*s)/s*s*s**(2/11))/((s**(-2/11)/s)/s)**(-2/131)*(s*s*s/(s**(-3/7)*s)*s**(8/7))/(s**(-2))**(-1/50) assuming s is positive.\n' | b's**(2945388/252175)\n' | b'Simplify (((s**8/s*s)/s*s)/s*s*s**(2/11))/((s**(-2/11)/s)/s)**(-2/131)*(s*s*s/(s**(-3/7)*s)*s**(8/7))/(s**(-2))**(-1/50) assuming s is positive.\n' | b's**(2945388/252175)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 n, 1 t, 1 z, and 1 w when four letters picked without replacement from {z: 3, t: 4, p: 1, w: 1, n: 4, x: 1}.\n' | b'48/1001\n' | b'Calculate prob of picking 1 n, 1 t, 1 z, and 1 w when four letters picked without replacement from {z: 3, t: 4, p: 1, w: 1, n: 4, x: 1}.\n' | b'48/1001\n' | deepmind/math_dataset |
b'Let a be (435/12 - -5) + (-2)/8. Suppose a*p = 39*p. Let g = -2 - -30. Solve v + 2*s + 0*s + 11 = p, 4*v + g = -4*s for v.\n' | b'-3\n' | b'Let a be (435/12 - -5) + (-2)/8. Suppose a*p = 39*p. Let g = -2 - -30. Solve v + 2*s + 0*s + 11 = p, 4*v + g = -4*s for v.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (o**(-1)/o**5*(o**0)**(2/71))/(o**(-6)*o*o*o**(-6))**18 assuming o is positive.\n' | b'o**174\n' | b'Simplify (o**(-1)/o**5*(o**0)**(2/71))/(o**(-6)*o*o*o**(-6))**18 assuming o is positive.\n' | b'o**174\n' | deepmind/math_dataset |
b'Let w(x) = -x**2 + 10*x - 12. Let u be w(8). Let i(d) be the first derivative of -d**u - 10*d**3 - 1 - 5 + 8*d**3. Find the third derivative of i(l) wrt l.\n' | b'-24\n' | b'Let w(x) = -x**2 + 10*x - 12. Let u be w(8). Let i(d) be the first derivative of -d**u - 10*d**3 - 1 - 5 + 8*d**3. Find the third derivative of i(l) wrt l.\n' | b'-24\n' | deepmind/math_dataset |
b'Simplify ((((m**5*m)/m*m)/(m**(9/4)*m))**(5/2))**(-48) assuming m is positive.\n' | b'm**(-330)\n' | b'Simplify ((((m**5*m)/m*m)/(m**(9/4)*m))**(5/2))**(-48) assuming m is positive.\n' | b'm**(-330)\n' | deepmind/math_dataset |
b'Let l(w) = -3*w**3 - 4*w**2 - 3*w + 6. Let q(u) = 16*u**3 + 19*u**2 + 17*u - 29. Let t(p) = 11*l(p) + 2*q(p). Give t(-6).\n' | b'2\n' | b'Let l(w) = -3*w**3 - 4*w**2 - 3*w + 6. Let q(u) = 16*u**3 + 19*u**2 + 17*u - 29. Let t(p) = 11*l(p) + 2*q(p). Give t(-6).\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ccllwxrq. What is prob of picking 1 r and 2 c?\n' | b'1/56\n' | b'Three letters picked without replacement from ccllwxrq. What is prob of picking 1 r and 2 c?\n' | b'1/56\n' | deepmind/math_dataset |
b'Suppose -3*c + f + 112 = 0, 3*c - 5*c = f - 68. Suppose 0 = 18*k - 14*k + 4*d - c, -5*d + 33 = 2*k. Solve 2*a + 3*q - 4 = 0, -k*a - q - 16 = a for a.\n' | b'-4\n' | b'Suppose -3*c + f + 112 = 0, 3*c - 5*c = f - 68. Suppose 0 = 18*k - 14*k + 4*d - c, -5*d + 33 = 2*k. Solve 2*a + 3*q - 4 = 0, -k*a - q - 16 = a for a.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qdqqqqqqqqiqq. What is prob of sequence di?\n' | b'1/156\n' | b'Two letters picked without replacement from qdqqqqqqqqiqq. What is prob of sequence di?\n' | b'1/156\n' | deepmind/math_dataset |
b'Let y(n) be the third derivative of -5*n**4/24 - 10*n**3/3 + 6*n**2. Let d be y(-5). Solve -4*s - 16 = 0, d*c - 2*s = 2*c + 14 for c.\n' | b'2\n' | b'Let y(n) be the third derivative of -5*n**4/24 - 10*n**3/3 + 6*n**2. Let d be y(-5). Solve -4*s - 16 = 0, d*c - 2*s = 2*c + 14 for c.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wdsdsdk. Give prob of sequence kd.\n' | b'1/14\n' | b'Two letters picked without replacement from wdsdsdk. Give prob of sequence kd.\n' | b'1/14\n' | deepmind/math_dataset |
b'Let v(u) = -4*u - 6. Suppose 407*a = 379*a - 280. What is v(a)?\n' | b'34\n' | b'Let v(u) = -4*u - 6. Suppose 407*a = 379*a - 280. What is v(a)?\n' | b'34\n' | deepmind/math_dataset |
b'What is the derivative of -11*w**4 - 158481*w + 158481*w + 191 wrt w?\n' | b'-44*w**3\n' | b'What is the derivative of -11*w**4 - 158481*w + 158481*w + 191 wrt w?\n' | b'-44*w**3\n' | deepmind/math_dataset |
b'What is the third derivative of -210*x - 2*x**2 + 48267*x**6 - 48134*x**6 - 740*x - 7*x**3 wrt x?\n' | b'15960*x**3 - 42\n' | b'What is the third derivative of -210*x - 2*x**2 + 48267*x**6 - 48134*x**6 - 740*x - 7*x**3 wrt x?\n' | b'15960*x**3 - 42\n' | deepmind/math_dataset |
b'Let g(u) = -8*u**3 - 5*u**2 + 148*u + 135. Let k(a) = 3*a**3 - 59*a - 54. Let s(i) = -5*g(i) - 13*k(i). Calculate s(-24).\n' | b'-45\n' | b'Let g(u) = -8*u**3 - 5*u**2 + 148*u + 135. Let k(a) = 3*a**3 - 59*a - 54. Let s(i) = -5*g(i) - 13*k(i). Calculate s(-24).\n' | b'-45\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ikhepppekpkkphpk. Give prob of sequence he.\n' | b'1/60\n' | b'Two letters picked without replacement from ikhepppekpkkphpk. Give prob of sequence he.\n' | b'1/60\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 h and 1 w when two letters picked without replacement from hggvwgggggggggv.\n' | b'1/105\n' | b'Calculate prob of picking 1 h and 1 w when two letters picked without replacement from hggvwgggggggggv.\n' | b'1/105\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 2, y: 1, c: 1, x: 1}. What is prob of picking 2 q and 1 c?\n' | b'1/10\n' | b'Three letters picked without replacement from {q: 2, y: 1, c: 1, x: 1}. What is prob of picking 2 q and 1 c?\n' | b'1/10\n' | deepmind/math_dataset |
b'Calculate prob of sequence qx when two letters picked without replacement from gxq.\n' | b'1/6\n' | b'Calculate prob of sequence qx when two letters picked without replacement from gxq.\n' | b'1/6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wpzpw. Give prob of picking 2 p.\n' | b'1/10\n' | b'Two letters picked without replacement from wpzpw. Give prob of picking 2 p.\n' | b'1/10\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 1, t: 2, o: 3, l: 1, b: 12}. What is prob of picking 1 t, 1 o, and 1 l?\n' | b'2/323\n' | b'Three letters picked without replacement from {m: 1, t: 2, o: 3, l: 1, b: 12}. What is prob of picking 1 t, 1 o, and 1 l?\n' | b'2/323\n' | deepmind/math_dataset |
b'Let b(g) = g**2 - 10*g - 15. Suppose 0 = 2*c - 0*h + h + 20, 2*c - h = -12. Let y be -282*c/208 + 4/26. Determine b(y).\n' | b'-4\n' | b'Let b(g) = g**2 - 10*g - 15. Suppose 0 = 2*c - 0*h + h + 20, 2*c - h = -12. Let y be -282*c/208 + 4/26. Determine b(y).\n' | b'-4\n' | deepmind/math_dataset |
b'Let g be ((-21)/35)/((-2)/10). Solve 2*d - g = 5*n, 2*n - 3 = 5*d - 0*d for d.\n' | b'-1\n' | b'Let g be ((-21)/35)/((-2)/10). Solve 2*d - g = 5*n, 2*n - 3 = 5*d - 0*d for d.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((x**6*x)/(x/x**(-20/9)))**(-10/9) assuming x is positive.\n' | b'x**(-340/81)\n' | b'Simplify ((x**6*x)/(x/x**(-20/9)))**(-10/9) assuming x is positive.\n' | b'x**(-340/81)\n' | deepmind/math_dataset |
b'Calculate prob of sequence js when two letters picked without replacement from {s: 2, j: 4}.\n' | b'4/15\n' | b'Calculate prob of sequence js when two letters picked without replacement from {s: 2, j: 4}.\n' | b'4/15\n' | deepmind/math_dataset |
b'Simplify ((v**(-2/9)*v)/v)**23/(v**(-1/8)/v)**(-37) assuming v is positive.\n' | b'v**(-3365/72)\n' | b'Simplify ((v**(-2/9)*v)/v)**23/(v**(-1/8)/v)**(-37) assuming v is positive.\n' | b'v**(-3365/72)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 z, 1 q, 1 y, and 1 f when four letters picked without replacement from {y: 1, q: 1, a: 1, d: 2, f: 2, z: 1}.\n' | b'1/35\n' | b'Calculate prob of picking 1 z, 1 q, 1 y, and 1 f when four letters picked without replacement from {y: 1, q: 1, a: 1, d: 2, f: 2, z: 1}.\n' | b'1/35\n' | deepmind/math_dataset |
b'What is the first derivative of 974 - 1606*s**3 + 53 + 805*s**3 + 853*s**3 + 252 wrt s?\n' | b'156*s**2\n' | b'What is the first derivative of 974 - 1606*s**3 + 53 + 805*s**3 + 853*s**3 + 252 wrt s?\n' | b'156*s**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ttqctqtqtqq. What is prob of picking 4 t?\n' | b'1/66\n' | b'Four letters picked without replacement from ttqctqtqtqq. What is prob of picking 4 t?\n' | b'1/66\n' | deepmind/math_dataset |
b'Let j(i) = -2*i. Let p = -13 - -11. Let w be j(p). Suppose -y - 4*b + 10 = 0, 4*y + w*b - 20 = 8. Let g(a) = -a**2 + 7*a - 7. Calculate g(y).\n' | b'-1\n' | b'Let j(i) = -2*i. Let p = -13 - -11. Let w be j(p). Suppose -y - 4*b + 10 = 0, 4*y + w*b - 20 = 8. Let g(a) = -a**2 + 7*a - 7. Calculate g(y).\n' | b'-1\n' | deepmind/math_dataset |
b'Let j(s) be the second derivative of -s**5/10 + 5*s**4/12 + s**3/3 + 16*s**2 - 4*s + 1. What is the second derivative of j(i) wrt i?\n' | b'-12*i + 10\n' | b'Let j(s) be the second derivative of -s**5/10 + 5*s**4/12 + s**3/3 + 16*s**2 - 4*s + 1. What is the second derivative of j(i) wrt i?\n' | b'-12*i + 10\n' | deepmind/math_dataset |
b'Let n(g) = 11*g - 111. Let x be n(10). Let m(l) = 2*l - 6*l - 8*l - 2*l. Calculate m(x).\n' | b'14\n' | b'Let n(g) = 11*g - 111. Let x be n(10). Let m(l) = 2*l - 6*l - 8*l - 2*l. Calculate m(x).\n' | b'14\n' | deepmind/math_dataset |
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