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'Two letters picked without replacement from {a: 3, g: 1, t: 8, i: 1, s: 3, r: 2}. Give prob of picking 1 r and 1 g.\n' | b'2/153\n' | b'Two letters picked without replacement from {a: 3, g: 1, t: 8, i: 1, s: 3, r: 2}. Give prob of picking 1 r and 1 g.\n' | b'2/153\n' | deepmind/math_dataset |
b'Let y(l) be the first derivative of -3*l**2 - 1/3*l**3 + 5 - 2*l. Give y(-6).\n' | b'-2\n' | b'Let y(l) be the first derivative of -3*l**2 - 1/3*l**3 + 5 - 2*l. Give y(-6).\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 4 = -f + 2*f. Let b be (-34)/(-10) + (-2)/5. Let p(o) = o**3 - o**2 + 2. Let k be p(b). Solve f*g = 4*n + 9 + 3, -5*n = k for g.\n' | b'-1\n' | b'Suppose 4 = -f + 2*f. Let b be (-34)/(-10) + (-2)/5. Let p(o) = o**3 - o**2 + 2. Let k be p(b). Solve f*g = 4*n + 9 + 3, -5*n = k for g.\n' | b'-1\n' | deepmind/math_dataset |
b'Let u be 0 - (-4 - (2 - 5)). Let w be 0/(u/2 - (-65)/26). Solve 5*f + 3 = 4*s, w*s = 2*s - 4*f for s.\n' | b'2\n' | b'Let u be 0 - (-4 - (2 - 5)). Let w be 0/(u/2 - (-65)/26). Solve 5*f + 3 = 4*s, w*s = 2*s - 4*f for s.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 x, 1 y, and 1 d when three letters picked without replacement from xdixycyiyxicyycyd.\n' | b'9/170\n' | b'Calculate prob of picking 1 x, 1 y, and 1 d when three letters picked without replacement from xdixycyiyxicyycyd.\n' | b'9/170\n' | deepmind/math_dataset |
b'Suppose -3*n - 3*z = z - 36, 54 = 3*n - 2*z. Suppose -2*s = 4*j - j - 22, s + 4*j = n. Solve 0 = 2*o + 5*i - s + 1, 4*o = -i - 13 for o.\n' | b'-4\n' | b'Suppose -3*n - 3*z = z - 36, 54 = 3*n - 2*z. Suppose -2*s = 4*j - j - 22, s + 4*j = n. Solve 0 = 2*o + 5*i - s + 1, 4*o = -i - 13 for o.\n' | b'-4\n' | deepmind/math_dataset |
b'Let x(p) be the third derivative of 401*p**9/252 - p**7/210 + 371*p**5/60 - 101*p**2. Find the third derivative of x(m) wrt m.\n' | b'96240*m**3 - 24*m\n' | b'Let x(p) be the third derivative of 401*p**9/252 - p**7/210 + 371*p**5/60 - 101*p**2. Find the third derivative of x(m) wrt m.\n' | b'96240*m**3 - 24*m\n' | deepmind/math_dataset |
b'Let h(y) = 5*y - 9. Let k(j) = -j + 1. Let l(c) = -h(c) - 6*k(c). Let z be l(3). What is the third derivative of -8*x**5 + 3*x**5 - x**z + 5*x**5 - x**2 wrt x?\n' | b'-120*x**3\n' | b'Let h(y) = 5*y - 9. Let k(j) = -j + 1. Let l(c) = -h(c) - 6*k(c). Let z be l(3). What is the third derivative of -8*x**5 + 3*x**5 - x**z + 5*x**5 - x**2 wrt x?\n' | b'-120*x**3\n' | deepmind/math_dataset |
b'Let v(s) = s**2 + 11*s + 18. Let w be v(-2). Let d(h) = -h**2 - 3*h + 4. Give d(w).\n' | b'4\n' | b'Let v(s) = s**2 + 11*s + 18. Let w be v(-2). Let d(h) = -h**2 - 3*h + 4. Give d(w).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((f**(2/7)*f)/(f*(f**(-11)*f)/f*f))/((f*(f/f**(3/19))/f*f)/(f*(f**(3/5)/f)/f)) assuming f is positive.\n' | b'f**(5349/665)\n' | b'Simplify ((f**(2/7)*f)/(f*(f**(-11)*f)/f*f))/((f*(f/f**(3/19))/f*f)/(f*(f**(3/5)/f)/f)) assuming f is positive.\n' | b'f**(5349/665)\n' | deepmind/math_dataset |
b'Let x be (4/(-5))/(1/(-5)). Suppose 5*k - 3 = q, -2*k + 5*q - 11 = -3*k. Let p = k + x. Solve -4*o + 2*d = -d, -p*d = -2*o for o.\n' | b'0\n' | b'Let x be (4/(-5))/(1/(-5)). Suppose 5*k - 3 = q, -2*k + 5*q - 11 = -3*k. Let p = k + x. Solve -4*o + 2*d = -d, -p*d = -2*o for o.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((b/b**(-15))/b**(-17))**11 assuming b is positive.\n' | b'b**363\n' | b'Simplify ((b/b**(-15))/b**(-17))**11 assuming b is positive.\n' | b'b**363\n' | deepmind/math_dataset |
b'Three letters picked without replacement from oiiiiiioswoiii. What is prob of sequence osi?\n' | b'9/728\n' | b'Three letters picked without replacement from oiiiiiioswoiii. What is prob of sequence osi?\n' | b'9/728\n' | deepmind/math_dataset |
b'Suppose -281 = -4*n - 269. Suppose -m + 4*r + 10 = 0, 5*r + 6 = -n*m + 2. Solve h = 3*j + j - 23, 19 = -3*h + m*j for h.\n' | b'-3\n' | b'Suppose -281 = -4*n - 269. Suppose -m + 4*r + 10 = 0, 5*r + 6 = -n*m + 2. Solve h = 3*j + j - 23, 19 = -3*h + m*j for h.\n' | b'-3\n' | deepmind/math_dataset |
b'Let l = 10 + -10. Let v = -4 + 9. Let z(c) = -3*c + 10 + 2*c + 5*c - v*c. Determine z(l).\n' | b'10\n' | b'Let l = 10 + -10. Let v = -4 + 9. Let z(c) = -3*c + 10 + 2*c + 5*c - v*c. Determine z(l).\n' | b'10\n' | deepmind/math_dataset |
b'Let n = 48 - 42. Suppose 6*y = n + 6. What is the second derivative of -w - 5*w - y*w**5 - 8*w - 12*w**5 wrt w?\n' | b'-280*w**3\n' | b'Let n = 48 - 42. Suppose 6*y = n + 6. What is the second derivative of -w - 5*w - y*w**5 - 8*w - 12*w**5 wrt w?\n' | b'-280*w**3\n' | deepmind/math_dataset |
b'Let d be 0*(0 - (-2)/(-4)). Let q(s) = d*s**3 - 4 - 5*s**2 + 0*s**3 + 10*s**2 - s**3 - 3*s. What is q(3)?\n' | b'5\n' | b'Let d be 0*(0 - (-2)/(-4)). Let q(s) = d*s**3 - 4 - 5*s**2 + 0*s**3 + 10*s**2 - s**3 - 3*s. What is q(3)?\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of sequence bbf when three letters picked without replacement from fpbfffbfopvpb?\n' | b'5/286\n' | b'What is prob of sequence bbf when three letters picked without replacement from fpbfffbfopvpb?\n' | b'5/286\n' | deepmind/math_dataset |
b'Simplify ((u*u**9)/u)/u**(-1)*(u*u**(-10))/(u/(u/(u*u*u**(1/4)))) assuming u is positive.\n' | b'u**(-5/4)\n' | b'Simplify ((u*u**9)/u)/u**(-1)*(u*u**(-10))/(u/(u/(u*u*u**(1/4)))) assuming u is positive.\n' | b'u**(-5/4)\n' | deepmind/math_dataset |
b'Calculate prob of sequence bbm when three letters picked without replacement from {u: 7, t: 7, m: 1, b: 2}.\n' | b'1/2040\n' | b'Calculate prob of sequence bbm when three letters picked without replacement from {u: 7, t: 7, m: 1, b: 2}.\n' | b'1/2040\n' | deepmind/math_dataset |
b'Let j(x) = -3*x**2 + x + 2. Let o be 6 + 4 + -7 + 3. Let u be o + (-7)/((-7)/4). Let z be 2/(-5) - (-24)/u. Determine j(z).\n' | b'-8\n' | b'Let j(x) = -3*x**2 + x + 2. Let o be 6 + 4 + -7 + 3. Let u be o + (-7)/((-7)/4). Let z be 2/(-5) - (-24)/u. Determine j(z).\n' | b'-8\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 2, i: 1, j: 7}. What is prob of picking 1 d and 1 j?\n' | b'14/45\n' | b'Two letters picked without replacement from {d: 2, i: 1, j: 7}. What is prob of picking 1 d and 1 j?\n' | b'14/45\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 n, 1 j, and 1 d when three letters picked without replacement from {n: 3, o: 1, e: 3, d: 1, a: 2, j: 3}.\n' | b'9/286\n' | b'Calculate prob of picking 1 n, 1 j, and 1 d when three letters picked without replacement from {n: 3, o: 1, e: 3, d: 1, a: 2, j: 3}.\n' | b'9/286\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {p: 4, z: 2, n: 4, y: 1}. What is prob of picking 2 z and 2 p?\n' | b'1/55\n' | b'Four letters picked without replacement from {p: 4, z: 2, n: 4, y: 1}. What is prob of picking 2 z and 2 p?\n' | b'1/55\n' | deepmind/math_dataset |
b'Let w(j) be the third derivative of -j**5/60 - j**4/4 - 23*j**3/3 - 99*j**2. What is the first derivative of w(v) wrt v?\n' | b'-2*v - 6\n' | b'Let w(j) be the third derivative of -j**5/60 - j**4/4 - 23*j**3/3 - 99*j**2. What is the first derivative of w(v) wrt v?\n' | b'-2*v - 6\n' | deepmind/math_dataset |
b'Suppose 3 = 4*v - 3*t - 0, -2*t = 5*v + 2. Solve 2*o + 0*o = -2*b - 4, v = -2*o - 3*b - 3 for o.\n' | b'-3\n' | b'Suppose 3 = 4*v - 3*t - 0, -2*t = 5*v + 2. Solve 2*o + 0*o = -2*b - 4, v = -2*o - 3*b - 3 for o.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (z*z*z*z**(-12/7)*z*z)/z**(-14)*((z**27*z)/z*z)/z**(-27) assuming z is positive.\n' | b'z**(506/7)\n' | b'Simplify (z*z*z*z**(-12/7)*z*z)/z**(-14)*((z**27*z)/z*z)/z**(-27) assuming z is positive.\n' | b'z**(506/7)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hhhqaahha. What is prob of sequence aa?\n' | b'1/12\n' | b'Two letters picked without replacement from hhhqaahha. What is prob of sequence aa?\n' | b'1/12\n' | deepmind/math_dataset |
b'Simplify (f**(5/8)/(f*f**9))/((f/f**18*f)/f**(4/3)) assuming f is positive.\n' | b'f**(191/24)\n' | b'Simplify (f**(5/8)/(f*f**9))/((f/f**18*f)/f**(4/3)) assuming f is positive.\n' | b'f**(191/24)\n' | deepmind/math_dataset |
b'Let b(u) = 3*u + 13. Let h be (-12)/(-18)*81/(-9). Give b(h).\n' | b'-5\n' | b'Let b(u) = 3*u + 13. Let h be (-12)/(-18)*81/(-9). Give b(h).\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -2*a + v = 3*v - 14, 5*a - v - 5 = 0. What is the third derivative of -3*n**2 - 2*n**3 + 8*n**4 - 3*n**4 + a*n**3 wrt n?\n' | b'120*n\n' | b'Suppose -2*a + v = 3*v - 14, 5*a - v - 5 = 0. What is the third derivative of -3*n**2 - 2*n**3 + 8*n**4 - 3*n**4 + a*n**3 wrt n?\n' | b'120*n\n' | deepmind/math_dataset |
b'Let r(i) be the third derivative of i**6/30 + i**5/30 - i**4/12 - i**3/6 + 11*i**2. Let n be ((-15)/5)/((-6)/(-4)). Give r(n).\n' | b'-21\n' | b'Let r(i) be the third derivative of i**6/30 + i**5/30 - i**4/12 - i**3/6 + 11*i**2. Let n be ((-15)/5)/((-6)/(-4)). Give r(n).\n' | b'-21\n' | deepmind/math_dataset |
b'Simplify (p**1)**(4/25)*(p**1)**(14/3) assuming p is positive.\n' | b'p**(362/75)\n' | b'Simplify (p**1)**(4/25)*(p**1)**(14/3) assuming p is positive.\n' | b'p**(362/75)\n' | deepmind/math_dataset |
b'Simplify (h**3/(h**(-3)/h))/((h**0/h)/(h**(-5)/h)) assuming h is positive.\n' | b'h**2\n' | b'Simplify (h**3/(h**(-3)/h))/((h**0/h)/(h**(-5)/h)) assuming h is positive.\n' | b'h**2\n' | deepmind/math_dataset |
b'Simplify j**(-1/5)/(j*j*j**(2/15))*(j/j**0)**(-4/3) assuming j is positive.\n' | b'j**(-11/3)\n' | b'Simplify j**(-1/5)/(j*j*j**(2/15))*(j/j**0)**(-4/3) assuming j is positive.\n' | b'j**(-11/3)\n' | deepmind/math_dataset |
b'Let m be -4*7/(-3) + 18/27. Solve 4*x + m = 2*f, 0 = 5*x + f - 0 - 5 for x.\n' | b'0\n' | b'Let m be -4*7/(-3) + 18/27. Solve 4*x + m = 2*f, 0 = 5*x + f - 0 - 5 for x.\n' | b'0\n' | deepmind/math_dataset |
b'Let n(d) be the third derivative of 53*d**9/126 - 161*d**5/60 + 103*d**2. Find the third derivative of n(h) wrt h.\n' | b'25440*h**3\n' | b'Let n(d) be the third derivative of 53*d**9/126 - 161*d**5/60 + 103*d**2. Find the third derivative of n(h) wrt h.\n' | b'25440*h**3\n' | deepmind/math_dataset |
b'Simplify n**18/(n/n**(-3/4)*n) assuming n is positive.\n' | b'n**(61/4)\n' | b'Simplify n**18/(n/n**(-3/4)*n) assuming n is positive.\n' | b'n**(61/4)\n' | deepmind/math_dataset |
b'Suppose -5 = -3*r + 4*m, -m + 11 = -0*r + r. Solve -i + 5*k + 3 = -0*i, 3*i + k = -r for i.\n' | b'-2\n' | b'Suppose -5 = -3*r + 4*m, -m + 11 = -0*r + r. Solve -i + 5*k + 3 = -0*i, 3*i + k = -r for i.\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {d: 1, y: 3, q: 1, c: 2, h: 4, e: 4}. What is prob of sequence hcy?\n' | b'4/455\n' | b'Three letters picked without replacement from {d: 1, y: 3, q: 1, c: 2, h: 4, e: 4}. What is prob of sequence hcy?\n' | b'4/455\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 g and 1 b when four letters picked without replacement from {g: 5, n: 2, h: 3, b: 2}.\n' | b'4/99\n' | b'Calculate prob of picking 3 g and 1 b when four letters picked without replacement from {g: 5, n: 2, h: 3, b: 2}.\n' | b'4/99\n' | deepmind/math_dataset |
b'Calculate prob of sequence nr when two letters picked without replacement from wrwwwwrwkrrrnjwwwkrw.\n' | b'3/190\n' | b'Calculate prob of sequence nr when two letters picked without replacement from wrwwwwrwkrrrnjwwwkrw.\n' | b'3/190\n' | deepmind/math_dataset |
b'Let x be 5 + (2 - -6) + -5 + 4. Let f(l) = -l**3 - 3*l**2 + 3*l. Let i be f(-4). Solve i*d + t + 20 = 0, -d - t - x = t for d.\n' | b'-4\n' | b'Let x be 5 + (2 - -6) + -5 + 4. Let f(l) = -l**3 - 3*l**2 + 3*l. Let i be f(-4). Solve i*d + t + 20 = 0, -d - t - x = t for d.\n' | b'-4\n' | deepmind/math_dataset |
b'Let p(b) = 4*b**2 + 36*b + 104. Let j be p(-4). Solve 9*k - 4*k = 5*v + 25, -5*k + j = -4*v for k.\n' | b'4\n' | b'Let p(b) = 4*b**2 + 36*b + 104. Let j be p(-4). Solve 9*k - 4*k = 5*v + 25, -5*k + j = -4*v for k.\n' | b'4\n' | deepmind/math_dataset |
b'Let u(c) = c**2 - 2*c + 2. Let s be 2*-9*(-16)/72. Calculate u(s).\n' | b'10\n' | b'Let u(c) = c**2 - 2*c + 2. Let s be 2*-9*(-16)/72. Calculate u(s).\n' | b'10\n' | deepmind/math_dataset |
b'Let z(p) = -15*p + 95. Let v be z(6). Let y(k) = k**2 - 2*k + 5. Give y(v).\n' | b'20\n' | b'Let z(p) = -15*p + 95. Let v be z(6). Let y(k) = k**2 - 2*k + 5. Give y(v).\n' | b'20\n' | deepmind/math_dataset |
b'Let a(z) = z**3 - 5*z**2 + 7*z + 2. Let d(g) = 2*g**3 - 7*g**2 + 8*g + 3. Let m(v) = -3*a(v) + 2*d(v). Determine m(-4).\n' | b'-28\n' | b'Let a(z) = z**3 - 5*z**2 + 7*z + 2. Let d(g) = 2*g**3 - 7*g**2 + 8*g + 3. Let m(v) = -3*a(v) + 2*d(v). Determine m(-4).\n' | b'-28\n' | deepmind/math_dataset |
b'Let q(x) = -x**2 + 14*x - 9. Let j(c) = -2*c + 2. Let h(i) = 5*j(i) + q(i). Let l be (8/5)/(3/75). Let g = 43 - l. Give h(g).\n' | b'4\n' | b'Let q(x) = -x**2 + 14*x - 9. Let j(c) = -2*c + 2. Let h(i) = 5*j(i) + q(i). Let l be (8/5)/(3/75). Let g = 43 - l. Give h(g).\n' | b'4\n' | deepmind/math_dataset |
b'Let p(y) = 75*y - 2 - 56*y - y**2 + 23. Let d be p(20). Let g be d + (2 - (-4 + 7)). Solve g = -2*r + h - 11, -2*r + 14 = -4*r + 4*h for r.\n' | b'-5\n' | b'Let p(y) = 75*y - 2 - 56*y - y**2 + 23. Let d be p(20). Let g be d + (2 - (-4 + 7)). Solve g = -2*r + h - 11, -2*r + 14 = -4*r + 4*h for r.\n' | b'-5\n' | deepmind/math_dataset |
b'Let l(m) = 4*m**2 + 1. Let w(d) = 1 - 7*d**2 - 2 + 2*d - 3*d. Let h(a) = 5*l(a) + 3*w(a). What is h(-5)?\n' | b'-8\n' | b'Let l(m) = 4*m**2 + 1. Let w(d) = 1 - 7*d**2 - 2 + 2*d - 3*d. Let h(a) = 5*l(a) + 3*w(a). What is h(-5)?\n' | b'-8\n' | deepmind/math_dataset |
b'Let d(o) = -o**3 - 5*o**2 - 4*o + 4. Suppose 0 = -m - 2, -4*m = -3*u - m - 6. Calculate d(u).\n' | b'4\n' | b'Let d(o) = -o**3 - 5*o**2 - 4*o + 4. Suppose 0 = -m - 2, -4*m = -3*u - m - 6. Calculate d(u).\n' | b'4\n' | deepmind/math_dataset |
b'Let m(u) be the second derivative of -207*u**5/10 - 29*u**3/6 + 7*u**2/2 + 299*u. What is the second derivative of m(y) wrt y?\n' | b'-2484*y\n' | b'Let m(u) be the second derivative of -207*u**5/10 - 29*u**3/6 + 7*u**2/2 + 299*u. What is the second derivative of m(y) wrt y?\n' | b'-2484*y\n' | deepmind/math_dataset |
b'Let j(q) be the second derivative of 43*q**3/6 + 64*q**2 + 91*q. What is the derivative of j(p) wrt p?\n' | b'43\n' | b'Let j(q) be the second derivative of 43*q**3/6 + 64*q**2 + 91*q. What is the derivative of j(p) wrt p?\n' | b'43\n' | deepmind/math_dataset |
b'Three letters picked without replacement from emmemeeeeemeeeeeeem. What is prob of sequence eee?\n' | b'364/969\n' | b'Three letters picked without replacement from emmemeeeeemeeeeeeem. What is prob of sequence eee?\n' | b'364/969\n' | deepmind/math_dataset |
b'Suppose 10 = -2*a, -2*k + a - 11 = 4*a. What is the derivative of -8 + 1 - 5*l**k - 3 - 3 wrt l?\n' | b'-10*l\n' | b'Suppose 10 = -2*a, -2*k + a - 11 = 4*a. What is the derivative of -8 + 1 - 5*l**k - 3 - 3 wrt l?\n' | b'-10*l\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 3, s: 1, u: 2, k: 6, a: 1}. What is prob of picking 1 a and 1 x?\n' | b'1/26\n' | b'Two letters picked without replacement from {x: 3, s: 1, u: 2, k: 6, a: 1}. What is prob of picking 1 a and 1 x?\n' | b'1/26\n' | deepmind/math_dataset |
b'Simplify (k*k**(-9/4))/((k/k**(1/6))/k*k) assuming k is positive.\n' | b'k**(-25/12)\n' | b'Simplify (k*k**(-9/4))/((k/k**(1/6))/k*k) assuming k is positive.\n' | b'k**(-25/12)\n' | deepmind/math_dataset |
b'Simplify y**(-21)*y*y*y/y**0*y assuming y is positive.\n' | b'y**(-17)\n' | b'Simplify y**(-21)*y*y*y/y**0*y assuming y is positive.\n' | b'y**(-17)\n' | deepmind/math_dataset |
b'Suppose -86*k + 55*k + 496 = 0. Solve 0 = 5*c - 3*p + k, 111*c - 107*c - p + 10 = 0 for c.\n' | b'-2\n' | b'Suppose -86*k + 55*k + 496 = 0. Solve 0 = 5*c - 3*p + k, 111*c - 107*c - p + 10 = 0 for c.\n' | b'-2\n' | deepmind/math_dataset |
b'Let c be ((-3)/2)/(9/(-156)). Solve -5*h - 5*q = -3*h + c, -5*h = 3*q + 27 for h.\n' | b'-3\n' | b'Let c be ((-3)/2)/(9/(-156)). Solve -5*h - 5*q = -3*h + c, -5*h = 3*q + 27 for h.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (q**(-12)/q*q*q**10)**16*((q**(-2/5)*q)/q**7)**(2/115) assuming q is positive.\n' | b'q**(-18464/575)\n' | b'Simplify (q**(-12)/q*q*q**10)**16*((q**(-2/5)*q)/q**7)**(2/115) assuming q is positive.\n' | b'q**(-18464/575)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 g when two letters picked without replacement from {g: 4, z: 1, q: 2}.\n' | b'2/7\n' | b'Calculate prob of picking 2 g when two letters picked without replacement from {g: 4, z: 1, q: 2}.\n' | b'2/7\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 w when two letters picked without replacement from wawwwwwwwwwawwwwww.\n' | b'40/51\n' | b'Calculate prob of picking 2 w when two letters picked without replacement from wawwwwwwwwwawwwwww.\n' | b'40/51\n' | deepmind/math_dataset |
b'Suppose 15*h = 27*h - 60. Let z(n) = h + 11*n + 3*n**2 - 1 + 0*n**2 - 2*n - n**3 + 0. What is z(5)?\n' | b'-1\n' | b'Suppose 15*h = 27*h - 60. Let z(n) = h + 11*n + 3*n**2 - 1 + 0*n**2 - 2*n - n**3 + 0. What is z(5)?\n' | b'-1\n' | deepmind/math_dataset |
b'Find the third derivative of 1150*p**2 - 18*p - 6*p**5 + 10*p**3 + 18*p - 1066*p**2 wrt p.\n' | b'-360*p**2 + 60\n' | b'Find the third derivative of 1150*p**2 - 18*p - 6*p**5 + 10*p**3 + 18*p - 1066*p**2 wrt p.\n' | b'-360*p**2 + 60\n' | deepmind/math_dataset |
b'Simplify (a**(1/20)/((a*a**(-12/11)/a*a)/a))**10 assuming a is positive.\n' | b'a**(251/22)\n' | b'Simplify (a**(1/20)/((a*a**(-12/11)/a*a)/a))**10 assuming a is positive.\n' | b'a**(251/22)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j and 1 l when two letters picked without replacement from {j: 5, l: 9}.\n' | b'45/91\n' | b'Calculate prob of picking 1 j and 1 l when two letters picked without replacement from {j: 5, l: 9}.\n' | b'45/91\n' | deepmind/math_dataset |
b'What is the derivative of 80*n**3 - 2 - 6*n**4 - 1 - 80*n**3 wrt n?\n' | b'-24*n**3\n' | b'What is the derivative of 80*n**3 - 2 - 6*n**4 - 1 - 80*n**3 wrt n?\n' | b'-24*n**3\n' | deepmind/math_dataset |
b'Simplify ((k*((k*k**(-16))/k*k)/k)/k)**33*k**19/(k/(k*(k*k**(2/5)*k)/k)) assuming k is positive.\n' | b'k**(-2538/5)\n' | b'Simplify ((k*((k*k**(-16))/k*k)/k)/k)**33*k**19/(k/(k*(k*k**(2/5)*k)/k)) assuming k is positive.\n' | b'k**(-2538/5)\n' | deepmind/math_dataset |
b'Suppose -k = -3*k - 6. Let w be (k/(-2))/((-7)/(-14)). Find the third derivative of -n**2 + 5*n**w - 7*n**3 + 11*n**3 wrt n.\n' | b'54\n' | b'Suppose -k = -3*k - 6. Let w be (k/(-2))/((-7)/(-14)). Find the third derivative of -n**2 + 5*n**w - 7*n**3 + 11*n**3 wrt n.\n' | b'54\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 m when three letters picked without replacement from ymymmym.\n' | b'4/35\n' | b'Calculate prob of picking 3 m when three letters picked without replacement from ymymmym.\n' | b'4/35\n' | deepmind/math_dataset |
b'Find the third derivative of -2628*h + 16*h**3 + 2628*h + 3*h**2 wrt h.\n' | b'96\n' | b'Find the third derivative of -2628*h + 16*h**3 + 2628*h + 3*h**2 wrt h.\n' | b'96\n' | deepmind/math_dataset |
b'Calculate prob of sequence wu when two letters picked without replacement from uwuuwuuuwuuu.\n' | b'9/44\n' | b'Calculate prob of sequence wu when two letters picked without replacement from uwuuwuuuwuuu.\n' | b'9/44\n' | deepmind/math_dataset |
b'Simplify t*t**(-12)*t**10*t**(-4)*(t*((t/t**29)/t)/t)/t assuming t is positive.\n' | b't**(-35)\n' | b'Simplify t*t**(-12)*t**10*t**(-4)*(t*((t/t**29)/t)/t)/t assuming t is positive.\n' | b't**(-35)\n' | deepmind/math_dataset |
b'Let q(r) be the first derivative of -5*r**7/21 + 4*r**3 - 8*r + 20. Let m(d) be the first derivative of q(d). What is the second derivative of m(u) wrt u?\n' | b'-200*u**3\n' | b'Let q(r) be the first derivative of -5*r**7/21 + 4*r**3 - 8*r + 20. Let m(d) be the first derivative of q(d). What is the second derivative of m(u) wrt u?\n' | b'-200*u**3\n' | deepmind/math_dataset |
b'Simplify (((f*f**(-4/7)*f*f)/f)/f*f**(2/19))**34 assuming f is positive.\n' | b'f**(2414/133)\n' | b'Simplify (((f*f**(-4/7)*f*f)/f)/f*f**(2/19))**34 assuming f is positive.\n' | b'f**(2414/133)\n' | deepmind/math_dataset |
b'Let t(p) = p**3 + 14*p**2 - 32*p + 5. Let r be t(-16). Solve -5*g - 3*m = -5, -r*g - 5*m - 5 = -10*g for g.\n' | b'1\n' | b'Let t(p) = p**3 + 14*p**2 - 32*p + 5. Let r be t(-16). Solve -5*g - 3*m = -5, -r*g - 5*m - 5 = -10*g for g.\n' | b'1\n' | deepmind/math_dataset |
b'Let z(r) = -32*r**2 + 2*r - 58. Let y(f) = 31*f**2 - 3*f + 58. Let m(t) = -2*y(t) - 3*z(t). What is the first derivative of m(w) wrt w?\n' | b'68*w\n' | b'Let z(r) = -32*r**2 + 2*r - 58. Let y(f) = 31*f**2 - 3*f + 58. Let m(t) = -2*y(t) - 3*z(t). What is the first derivative of m(w) wrt w?\n' | b'68*w\n' | deepmind/math_dataset |
b'Let z(t) be the first derivative of 3*t**7/7 - 20*t**3/3 + 11. What is the third derivative of z(b) wrt b?\n' | b'360*b**3\n' | b'Let z(t) be the first derivative of 3*t**7/7 - 20*t**3/3 + 11. What is the third derivative of z(b) wrt b?\n' | b'360*b**3\n' | deepmind/math_dataset |
b'Let y = -141 - -304. Let o = -163 + y. Solve -l + o*l = -w - 1, 2*l = -4*w - 4 for l.\n' | b'0\n' | b'Let y = -141 - -304. Let o = -163 + y. Solve -l + o*l = -w - 1, 2*l = -4*w - 4 for l.\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 4, v: 3, e: 1, m: 1, x: 4}. What is prob of picking 1 v, 1 m, and 2 y?\n' | b'18/715\n' | b'Four letters picked without replacement from {y: 4, v: 3, e: 1, m: 1, x: 4}. What is prob of picking 1 v, 1 m, and 2 y?\n' | b'18/715\n' | deepmind/math_dataset |
b'Let w(f) = 17*f + 368. Let u be w(-19). Suppose 0 = -0*q + 2*q + 86. Let r = u + q. Solve 29 = -z - 7*m + 2*m, 0 = -r*z - 5*m - 33 for z.\n' | b'-4\n' | b'Let w(f) = 17*f + 368. Let u be w(-19). Suppose 0 = -0*q + 2*q + 86. Let r = u + q. Solve 29 = -z - 7*m + 2*m, 0 = -r*z - 5*m - 33 for z.\n' | b'-4\n' | deepmind/math_dataset |
b'Let v be 28/(-8) - 9/(-6). Let j be (8/10)/(v/(-10) - 0). Solve 19 = -4*r - 0*r - w, -j*r + 3*w = 7 for r.\n' | b'-4\n' | b'Let v be 28/(-8) - 9/(-6). Let j be (8/10)/(v/(-10) - 0). Solve 19 = -4*r - 0*r - w, -j*r + 3*w = 7 for r.\n' | b'-4\n' | deepmind/math_dataset |
b'Let f = -7 + 14. Let l = f - 3. Solve m = -2, -m = -l*r + 3*m + 4 for r.\n' | b'-1\n' | b'Let f = -7 + 14. Let l = f - 3. Solve m = -2, -m = -l*r + 3*m + 4 for r.\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from wwwwwwwwwwwwwwwhwnw. What is prob of sequence hnw?\n' | b'1/342\n' | b'Three letters picked without replacement from wwwwwwwwwwwwwwwhwnw. What is prob of sequence hnw?\n' | b'1/342\n' | deepmind/math_dataset |
b'Let u(c) = -4*c**3 - 3 - 3*c + 11*c**2 - 1 + 5*c**3 - 17*c**2. Let l(n) = -167*n - 328. Let y be l(-2). Calculate u(y).\n' | b'-22\n' | b'Let u(c) = -4*c**3 - 3 - 3*c + 11*c**2 - 1 + 5*c**3 - 17*c**2. Let l(n) = -167*n - 328. Let y be l(-2). Calculate u(y).\n' | b'-22\n' | deepmind/math_dataset |
b'Suppose 4*t - 4*o = 8, -t + 0*t = 5*o - 8. Suppose t*v - v = 44. Solve -4*w + 2*s - v = 0, 16 = -6*w + 3*w + s for w.\n' | b'-5\n' | b'Suppose 4*t - 4*o = 8, -t + 0*t = 5*o - 8. Suppose t*v - v = 44. Solve -4*w + 2*s - v = 0, 16 = -6*w + 3*w + s for w.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((o**8/o**(-1/2))**33)**(-35) assuming o is positive.\n' | b'o**(-19635/2)\n' | b'Simplify ((o**8/o**(-1/2))**33)**(-35) assuming o is positive.\n' | b'o**(-19635/2)\n' | deepmind/math_dataset |
b'Simplify ((l**(2/17)/l)/l**6)**(1/18)/(l**(-6)*l*l**(3/7))**(-4) assuming l is positive.\n' | b'l**(-4443/238)\n' | b'Simplify ((l**(2/17)/l)/l**6)**(1/18)/(l**(-6)*l*l**(3/7))**(-4) assuming l is positive.\n' | b'l**(-4443/238)\n' | deepmind/math_dataset |
b'Let o = -134 - -134. Let h(s) = -2*s + 3*s - 2*s - 5 + 5*s**2. Let f(j) = 4*j**2 - j - 4. Let v(t) = 6*f(t) - 5*h(t). Give v(o).\n' | b'1\n' | b'Let o = -134 - -134. Let h(s) = -2*s + 3*s - 2*s - 5 + 5*s**2. Let f(j) = 4*j**2 - j - 4. Let v(t) = 6*f(t) - 5*h(t). Give v(o).\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 31*v - 40 = 26*v. What is the third derivative of -2*d**2 + 18*d**2 + 7*d**2 - v*d**3 - 6*d**2 wrt d?\n' | b'-48\n' | b'Suppose 31*v - 40 = 26*v. What is the third derivative of -2*d**2 + 18*d**2 + 7*d**2 - v*d**3 - 6*d**2 wrt d?\n' | b'-48\n' | deepmind/math_dataset |
b'Suppose 3*m = 5*y + 30, 0*m - 2 = -m - y. Suppose -4 - m = -h. Solve 5*s + h = -2*i + 2*s, 0 = 3*s + 9 for i.\n' | b'0\n' | b'Suppose 3*m = 5*y + 30, 0*m - 2 = -m - y. Suppose -4 - m = -h. Solve 5*s + h = -2*i + 2*s, 0 = 3*s + 9 for i.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((m**(-8/3)/m)/(m/(m*m**(-3/4))))**(-23)*(m/(m*m*m**(2/25)*m)*m**(-2))**(-31) assuming m is positive.\n' | b'm**(68419/300)\n' | b'Simplify ((m**(-8/3)/m)/(m/(m*m**(-3/4))))**(-23)*(m/(m*m*m**(2/25)*m)*m**(-2))**(-31) assuming m is positive.\n' | b'm**(68419/300)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 13, b: 1, u: 1}. What is prob of sequence bu?\n' | b'1/210\n' | b'Two letters picked without replacement from {v: 13, b: 1, u: 1}. What is prob of sequence bu?\n' | b'1/210\n' | deepmind/math_dataset |
b'Simplify ((m**(5/13)*m*m**(5/2)*m)**(-1/42))**44 assuming m is positive.\n' | b'm**(-1397/273)\n' | b'Simplify ((m**(5/13)*m*m**(5/2)*m)**(-1/42))**44 assuming m is positive.\n' | b'm**(-1397/273)\n' | deepmind/math_dataset |
b'What is prob of sequence pd when two letters picked without replacement from pxxrcxrrdp?\n' | b'1/45\n' | b'What is prob of sequence pd when two letters picked without replacement from pxxrcxrrdp?\n' | b'1/45\n' | deepmind/math_dataset |
b'Find the third derivative of 41*b**2 + 672*b**2 - 72*b**2 - 287*b**4 wrt b.\n' | b'-6888*b\n' | b'Find the third derivative of 41*b**2 + 672*b**2 - 72*b**2 - 287*b**4 wrt b.\n' | b'-6888*b\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nddjdacanndvdvv. Give prob of picking 1 d and 1 a.\n' | b'2/21\n' | b'Two letters picked without replacement from nddjdacanndvdvv. Give prob of picking 1 d and 1 a.\n' | b'2/21\n' | deepmind/math_dataset |
b'Let u(w) = 26*w**3 - 52*w + 117. Let o(r) = r - 1. Suppose 687 = -5*d + 427. Let a(n) = d*o(n) - u(n). Find the first derivative of a(l) wrt l.\n' | b'-78*l**2\n' | b'Let u(w) = 26*w**3 - 52*w + 117. Let o(r) = r - 1. Suppose 687 = -5*d + 427. Let a(n) = d*o(n) - u(n). Find the first derivative of a(l) wrt l.\n' | b'-78*l**2\n' | deepmind/math_dataset |
b'Simplify (s**(-1/5)*s**(11/7)/s)/(s**(-2)*s**(-21)) assuming s is positive.\n' | b's**(818/35)\n' | b'Simplify (s**(-1/5)*s**(11/7)/s)/(s**(-2)*s**(-21)) assuming s is positive.\n' | b's**(818/35)\n' | deepmind/math_dataset |
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