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 (((d**0/d)/(d**(1/5)/d))/(d**(2/13)*d**(-4)))/((d**2*d**6)/(d/d**(-1/4))**(21/8)) assuming d is positive.\n' | b'd**(-2231/2080)\n' | b'Simplify (((d**0/d)/(d**(1/5)/d))/(d**(2/13)*d**(-4)))/((d**2*d**6)/(d/d**(-1/4))**(21/8)) assuming d is positive.\n' | b'd**(-2231/2080)\n' | deepmind/math_dataset |
b'Let s(p) = p**3 - 9*p**2 - 8*p - 10. Let h be s(10). Solve 3*v - 9 = -2*y, 4*v + 0*v - h = -2*y for v.\n' | b'1\n' | b'Let s(p) = p**3 - 9*p**2 - 8*p - 10. Let h be s(10). Solve 3*v - 9 = -2*y, 4*v + 0*v - h = -2*y for v.\n' | b'1\n' | deepmind/math_dataset |
b'Let j be (-2)/5 + (-17)/(-5) + -2. What is the first derivative of -8*y - 5 - j - 20*y + 9 wrt y?\n' | b'-28\n' | b'Let j be (-2)/5 + (-17)/(-5) + -2. What is the first derivative of -8*y - 5 - j - 20*y + 9 wrt y?\n' | b'-28\n' | deepmind/math_dataset |
b'Suppose 0 = 2*n - 4*n + 16. Let t = -5 + 8. Solve m = t*g + 3 + 3, 5*m = -4*g - n for g.\n' | b'-2\n' | b'Suppose 0 = 2*n - 4*n + 16. Let t = -5 + 8. Solve m = t*g + 3 + 3, 5*m = -4*g - n for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 j when two letters picked without replacement from {d: 2, j: 3, n: 4, z: 9, v: 1}.\n' | b'1/57\n' | b'Calculate prob of picking 2 j when two letters picked without replacement from {d: 2, j: 3, n: 4, z: 9, v: 1}.\n' | b'1/57\n' | deepmind/math_dataset |
b'Calculate prob of sequence byyy when four letters picked without replacement from {b: 7, y: 5}.\n' | b'7/198\n' | b'Calculate prob of sequence byyy when four letters picked without replacement from {b: 7, y: 5}.\n' | b'7/198\n' | deepmind/math_dataset |
b'Find the third derivative of -6*k**4 - 28*k**4 - 6 + 0 + 0 - 7*k**2 - 5*k**2 wrt k.\n' | b'-816*k\n' | b'Find the third derivative of -6*k**4 - 28*k**4 - 6 + 0 + 0 - 7*k**2 - 5*k**2 wrt k.\n' | b'-816*k\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 l, 1 q, and 1 g when three letters picked without replacement from {l: 1, c: 1, m: 1, g: 1, q: 1}.\n' | b'1/10\n' | b'Calculate prob of picking 1 l, 1 q, and 1 g when three letters picked without replacement from {l: 1, c: 1, m: 1, g: 1, q: 1}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify (v**(-1/2)/v*v**(-3/4)*v)/((v*v/(v*v**(-2/7)))/v*v)**(1/2) assuming v is positive.\n' | b'v**(-53/28)\n' | b'Simplify (v**(-1/2)/v*v**(-3/4)*v)/((v*v/(v*v**(-2/7)))/v*v)**(1/2) assuming v is positive.\n' | b'v**(-53/28)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 c when two letters picked without replacement from zzjjjcczzjzjzjz.\n' | b'1/105\n' | b'Calculate prob of picking 2 c when two letters picked without replacement from zzjjjcczzjzjzjz.\n' | b'1/105\n' | deepmind/math_dataset |
b'Let x(j) be the third derivative of 9*j**2 + 0*j - 55/6*j**3 + 89/24*j**4 + 0. Differentiate x(g) wrt g.\n' | b'89\n' | b'Let x(j) be the third derivative of 9*j**2 + 0*j - 55/6*j**3 + 89/24*j**4 + 0. Differentiate x(g) wrt g.\n' | b'89\n' | deepmind/math_dataset |
b'What is the third derivative of -1208*u**3 + 2*u + 991*u**3 - 9*u - 111*u**2 + 2424*u**3 wrt u?\n' | b'13242\n' | b'What is the third derivative of -1208*u**3 + 2*u + 991*u**3 - 9*u - 111*u**2 + 2424*u**3 wrt u?\n' | b'13242\n' | deepmind/math_dataset |
b'Find the first derivative of -44*z**3 + 81*z**3 - 13 - 9*z**4 - 37*z**3 wrt z.\n' | b'-36*z**3\n' | b'Find the first derivative of -44*z**3 + 81*z**3 - 13 - 9*z**4 - 37*z**3 wrt z.\n' | b'-36*z**3\n' | deepmind/math_dataset |
b'Simplify ((w**6*w*w**(-2/13))**(1/18))**18 assuming w is positive.\n' | b'w**(89/13)\n' | b'Simplify ((w**6*w*w**(-2/13))**(1/18))**18 assuming w is positive.\n' | b'w**(89/13)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mmmmmmmmm. What is prob of picking 2 m?\n' | b'1\n' | b'Two letters picked without replacement from mmmmmmmmm. What is prob of picking 2 m?\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 3 r when three letters picked without replacement from roourugooougr?\n' | b'1/286\n' | b'What is prob of picking 3 r when three letters picked without replacement from roourugooougr?\n' | b'1/286\n' | deepmind/math_dataset |
b'Let t = 7 - 1. Let h be (-45)/t*(-4)/6. Suppose h = 2*j - 11. Solve 5*u - p + j = 2*u, 0 = -p + 2 for u.\n' | b'-2\n' | b'Let t = 7 - 1. Let h be (-45)/t*(-4)/6. Suppose h = 2*j - 11. Solve 5*u - p + j = 2*u, 0 = -p + 2 for u.\n' | b'-2\n' | deepmind/math_dataset |
b'Let p(i) be the second derivative of -i**5/20 - i**4/12 + i**3/6 + i**2 - 9*i. Calculate p(2).\n' | b'-8\n' | b'Let p(i) be the second derivative of -i**5/20 - i**4/12 + i**3/6 + i**2 - 9*i. Calculate p(2).\n' | b'-8\n' | deepmind/math_dataset |
b'Simplify (q**(-8))**7/(q**(-11/2)/q**(-34)) assuming q is positive.\n' | b'q**(-169/2)\n' | b'Simplify (q**(-8))**7/(q**(-11/2)/q**(-34)) assuming q is positive.\n' | b'q**(-169/2)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from cthhgchthtchxc. Give prob of picking 1 g and 1 c.\n' | b'4/91\n' | b'Two letters picked without replacement from cthhgchthtchxc. Give prob of picking 1 g and 1 c.\n' | b'4/91\n' | deepmind/math_dataset |
b'Simplify (v**1*v)**44/((v**(-2/3)*v)/v)**(-24) assuming v is positive.\n' | b'v**72\n' | b'Simplify (v**1*v)**44/((v**(-2/3)*v)/v)**(-24) assuming v is positive.\n' | b'v**72\n' | deepmind/math_dataset |
b'Suppose 0 = 4*w - 3*x - 12, -2*w - 5*x = -7*w + 20. Let i(o) = -o**3 + o**2 - o + 3. Let p be i(w). Solve -2*b + p - 11 = 0, -4*q = b - 16 for q.\n' | b'5\n' | b'Suppose 0 = 4*w - 3*x - 12, -2*w - 5*x = -7*w + 20. Let i(o) = -o**3 + o**2 - o + 3. Let p be i(w). Solve -2*b + p - 11 = 0, -4*q = b - 16 for q.\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jrrmmbmmijxxxrrbxbrm. Give prob of picking 1 b and 1 j.\n' | b'3/95\n' | b'Two letters picked without replacement from jrrmmbmmijxxxrrbxbrm. Give prob of picking 1 b and 1 j.\n' | b'3/95\n' | deepmind/math_dataset |
b'Simplify (i**(-24)*i*i)**(-40)*i*i/i**16*i**(-2/13)/i assuming i is positive.\n' | b'i**(11243/13)\n' | b'Simplify (i**(-24)*i*i)**(-40)*i*i/i**16*i**(-2/13)/i assuming i is positive.\n' | b'i**(11243/13)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 q, 1 t, and 1 p when four letters picked without replacement from {p: 1, o: 1, s: 2, t: 1, w: 1, q: 2}.\n' | b'1/70\n' | b'Calculate prob of picking 2 q, 1 t, and 1 p when four letters picked without replacement from {p: 1, o: 1, s: 2, t: 1, w: 1, q: 2}.\n' | b'1/70\n' | deepmind/math_dataset |
b'Let s = -51 + 69. Let d(m) = -m**3 - m**2 + m + 2. Let y be d(0). Solve 0 = -5*f - 4*v - 13, y*f = 5*v - 7 - s for f.\n' | b'-5\n' | b'Let s = -51 + 69. Let d(m) = -m**3 - m**2 + m + 2. Let y be d(0). Solve 0 = -5*f - 4*v - 13, y*f = 5*v - 7 - s for f.\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 8, o: 2}. What is prob of picking 1 r and 1 o?\n' | b'16/45\n' | b'Two letters picked without replacement from {r: 8, o: 2}. What is prob of picking 1 r and 1 o?\n' | b'16/45\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wfwwfbfsoww. Give prob of sequence wsso.\n' | b'0\n' | b'Four letters picked without replacement from wfwwfbfsoww. Give prob of sequence wsso.\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from gmgmn. What is prob of sequence mgnm?\n' | b'1/30\n' | b'Four letters picked without replacement from gmgmn. What is prob of sequence mgnm?\n' | b'1/30\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nouhuuuhnndb. What is prob of picking 2 h?\n' | b'1/66\n' | b'Two letters picked without replacement from nouhuuuhnndb. What is prob of picking 2 h?\n' | b'1/66\n' | deepmind/math_dataset |
b'Let z be ((-6)/10)/(2/(-10)). Find the first derivative of 4 - 4 + 2 + 2*h**z wrt h.\n' | b'6*h**2\n' | b'Let z be ((-6)/10)/(2/(-10)). Find the first derivative of 4 - 4 + 2 + 2*h**z wrt h.\n' | b'6*h**2\n' | deepmind/math_dataset |
b'Suppose 0 = t - 14 + 8. Let f(r) = -3*r + 15. Let h be f(t). Let n(d) = d + 3. Give n(h).\n' | b'0\n' | b'Suppose 0 = t - 14 + 8. Let f(r) = -3*r + 15. Let h be f(t). Let n(d) = d + 3. Give n(h).\n' | b'0\n' | deepmind/math_dataset |
b'Let d(m) = m + 2. Let o(u) = 4357*u**2 + 1209*u - 2. Let y(j) = d(j) + o(j). What is the second derivative of y(l) wrt l?\n' | b'8714\n' | b'Let d(m) = m + 2. Let o(u) = 4357*u**2 + 1209*u - 2. Let y(j) = d(j) + o(j). What is the second derivative of y(l) wrt l?\n' | b'8714\n' | deepmind/math_dataset |
b'Let w(j) = -2*j**2 + 1. Let k(d) = d**2 - 5*d - 3. Let f be k(6). Suppose 2*s = f*s. Suppose p - 1 = -s. Calculate w(p).\n' | b'-1\n' | b'Let w(j) = -2*j**2 + 1. Let k(d) = d**2 - 5*d - 3. Let f be k(6). Suppose 2*s = f*s. Suppose p - 1 = -s. Calculate w(p).\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j, 1 x, and 1 l when three letters picked without replacement from {j: 4, i: 3, q: 2, l: 6, o: 1, x: 2}.\n' | b'1/17\n' | b'Calculate prob of picking 1 j, 1 x, and 1 l when three letters picked without replacement from {j: 4, i: 3, q: 2, l: 6, o: 1, x: 2}.\n' | b'1/17\n' | deepmind/math_dataset |
b'What is prob of picking 2 h when two letters picked without replacement from {h: 3, s: 3, z: 2}?\n' | b'3/28\n' | b'What is prob of picking 2 h when two letters picked without replacement from {h: 3, s: 3, z: 2}?\n' | b'3/28\n' | deepmind/math_dataset |
b'Let z(b) be the second derivative of b**7/280 - b**4/24 + 5*b**3/6 + b. Let r(x) be the second derivative of z(x). Differentiate r(u) wrt u.\n' | b'9*u**2\n' | b'Let z(b) be the second derivative of b**7/280 - b**4/24 + 5*b**3/6 + b. Let r(x) be the second derivative of z(x). Differentiate r(u) wrt u.\n' | b'9*u**2\n' | deepmind/math_dataset |
b'Let l = 82 - 78. What is the second derivative of -39*f**5 - 22*f**4 + 21*f + 0*f + 22*f**l wrt f?\n' | b'-780*f**3\n' | b'Let l = 82 - 78. What is the second derivative of -39*f**5 - 22*f**4 + 21*f + 0*f + 22*f**l wrt f?\n' | b'-780*f**3\n' | deepmind/math_dataset |
b'Suppose -1 = -2*s + 19. Let h = -6 + s. Suppose -4*u + 1 = -2*n + 9, -h*n + 5*u = -16. Solve 4*l + 2 = -4*z - 6, 0 = 5*l + n*z + 12 for l.\n' | b'-4\n' | b'Suppose -1 = -2*s + 19. Let h = -6 + s. Suppose -4*u + 1 = -2*n + 9, -h*n + 5*u = -16. Solve 4*l + 2 = -4*z - 6, 0 = 5*l + n*z + 12 for l.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 5*d + 45 = 2*m, 35 = 2*m + 5*d - 40. Let w = 50 - m. Solve -2*j + 4*j + 8 = i, 0 = -5*j + 3*i - w for j.\n' | b'-4\n' | b'Suppose 5*d + 45 = 2*m, 35 = 2*m + 5*d - 40. Let w = 50 - m. Solve -2*j + 4*j + 8 = i, 0 = -5*j + 3*i - w for j.\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from kkkkkkvkkkkv. Give prob of sequence kvkk.\n' | b'4/33\n' | b'Four letters picked without replacement from kkkkkkvkkkkv. Give prob of sequence kvkk.\n' | b'4/33\n' | deepmind/math_dataset |
b'Suppose -5*o + 175 = 5*f, -f = 3*o - 6*f - 65. Solve o = -5*g - n - 3*n, 5*n + 27 = -g for g.\n' | b'-2\n' | b'Suppose -5*o + 175 = 5*f, -f = 3*o - 6*f - 65. Solve o = -5*g - n - 3*n, 5*n + 27 = -g for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Let x(z) = 123*z - 30. Let g be x(12). What is the derivative of 1 + 33 - g*o**3 + 1447*o**3 - 37*o wrt o?\n' | b'3*o**2 - 37\n' | b'Let x(z) = 123*z - 30. Let g be x(12). What is the derivative of 1 + 33 - g*o**3 + 1447*o**3 - 37*o wrt o?\n' | b'3*o**2 - 37\n' | deepmind/math_dataset |
b'Let t(l) = -l**3 - 5*l**2 + 15*l + 11. Let x be t(-7). Find the third derivative of 1705*p**x + 2*p**6 - 1674*p**4 + 2*p**2 + 4*p - 6*p**2 wrt p.\n' | b'240*p**3 + 744*p\n' | b'Let t(l) = -l**3 - 5*l**2 + 15*l + 11. Let x be t(-7). Find the third derivative of 1705*p**x + 2*p**6 - 1674*p**4 + 2*p**2 + 4*p - 6*p**2 wrt p.\n' | b'240*p**3 + 744*p\n' | deepmind/math_dataset |
b'Let f(o) = o**3 - 4*o**2 - 4*o. Let j be f(5). Let m = j - 3. What is the first derivative of 2*g - m*g + 3 + 0*g + g wrt g?\n' | b'1\n' | b'Let f(o) = o**3 - 4*o**2 - 4*o. Let j be f(5). Let m = j - 3. What is the first derivative of 2*g - m*g + 3 + 0*g + g wrt g?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -5*z = 0, -3*t = -2*t - 5*z - 6. Let a(h) = t - 11*h - 7*h + 16*h. What is a(5)?\n' | b'-4\n' | b'Suppose -5*z = 0, -3*t = -2*t - 5*z - 6. Let a(h) = t - 11*h - 7*h + 16*h. What is a(5)?\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 2, t: 16}. What is prob of picking 4 t?\n' | b'91/153\n' | b'Four letters picked without replacement from {z: 2, t: 16}. What is prob of picking 4 t?\n' | b'91/153\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 4, e: 2, f: 1, c: 1, y: 1}. Give prob of sequence ec.\n' | b'1/36\n' | b'Two letters picked without replacement from {l: 4, e: 2, f: 1, c: 1, y: 1}. Give prob of sequence ec.\n' | b'1/36\n' | deepmind/math_dataset |
b'Calculate prob of sequence tte when three letters picked without replacement from lsljrlrtrtltrserrr.\n' | b'1/816\n' | b'Calculate prob of sequence tte when three letters picked without replacement from lsljrlrtrtltrserrr.\n' | b'1/816\n' | deepmind/math_dataset |
b'Let q = 264 + -248. Solve x = 5*x + 4*m + 32, q = -5*x + m for x.\n' | b'-4\n' | b'Let q = 264 + -248. Solve x = 5*x + 4*m + 32, q = -5*x + m for x.\n' | b'-4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 1, v: 2, r: 1, k: 1}. Give prob of picking 2 v and 1 p.\n' | b'1/10\n' | b'Three letters picked without replacement from {p: 1, v: 2, r: 1, k: 1}. Give prob of picking 2 v and 1 p.\n' | b'1/10\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 w when three letters picked without replacement from wwuwuw.\n' | b'1/5\n' | b'Calculate prob of picking 3 w when three letters picked without replacement from wwuwuw.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let p(s) be the third derivative of 3*s**4/2 - 2*s**3 - 7*s**2. Differentiate p(i) with respect to i.\n' | b'36\n' | b'Let p(s) be the third derivative of 3*s**4/2 - 2*s**3 - 7*s**2. Differentiate p(i) with respect to i.\n' | b'36\n' | deepmind/math_dataset |
b'Let p(r) = r**2 - 3*r - 4. Let u be p(4). Suppose 5*y - 30 = -4*b - 0*b, 3*b = 5*y + 5. Solve 5*m + 4 = -y*q, q = -3*m - u*m - 2 for m.\n' | b'0\n' | b'Let p(r) = r**2 - 3*r - 4. Let u be p(4). Suppose 5*y - 30 = -4*b - 0*b, 3*b = 5*y + 5. Solve 5*m + 4 = -y*q, q = -3*m - u*m - 2 for m.\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {e: 4, i: 3}. Give prob of sequence eeie.\n' | b'3/35\n' | b'Four letters picked without replacement from {e: 4, i: 3}. Give prob of sequence eeie.\n' | b'3/35\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 4, z: 2, b: 2, r: 5, j: 7}. What is prob of sequence arbj?\n' | b'7/2907\n' | b'Four letters picked without replacement from {a: 4, z: 2, b: 2, r: 5, j: 7}. What is prob of sequence arbj?\n' | b'7/2907\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t and 1 m when two letters picked without replacement from {m: 9, t: 9}.\n' | b'9/17\n' | b'Calculate prob of picking 1 t and 1 m when two letters picked without replacement from {m: 9, t: 9}.\n' | b'9/17\n' | deepmind/math_dataset |
b'Calculate prob of sequence ff when two letters picked without replacement from fggpfgfgg.\n' | b'1/12\n' | b'Calculate prob of sequence ff when two letters picked without replacement from fggpfgfgg.\n' | b'1/12\n' | deepmind/math_dataset |
b'Suppose 0 = 5*d - 0*d - 3*c, 0 = 5*c + 25. Let m(k) = -4*k + 13. Let p be m(d). Solve -2*q + q - p = 5*u, 2*u - 17 = 5*q for q.\n' | b'-5\n' | b'Suppose 0 = 5*d - 0*d - 3*c, 0 = 5*c + 25. Let m(k) = -4*k + 13. Let p be m(d). Solve -2*q + q - p = 5*u, 2*u - 17 = 5*q for q.\n' | b'-5\n' | deepmind/math_dataset |
b'Let x(k) be the second derivative of k**7/6 + 3*k**4/4 + 2*k. Find the third derivative of x(y) wrt y.\n' | b'420*y**2\n' | b'Let x(k) be the second derivative of k**7/6 + 3*k**4/4 + 2*k. Find the third derivative of x(y) wrt y.\n' | b'420*y**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {n: 3, s: 17}. What is prob of picking 4 s?\n' | b'28/57\n' | b'Four letters picked without replacement from {n: 3, s: 17}. What is prob of picking 4 s?\n' | b'28/57\n' | deepmind/math_dataset |
b'Let q = -100 + 102. Let k(x) = 8 - 74*x**2 - x**3 + 40*x**q - 1 + 39*x**2. Give k(5).\n' | b'7\n' | b'Let q = -100 + 102. Let k(x) = 8 - 74*x**2 - x**3 + 40*x**q - 1 + 39*x**2. Give k(5).\n' | b'7\n' | deepmind/math_dataset |
b'Let x(s) = -s + 4. Let t be 39/12 + 1/(-4). Suppose 5*a - 12 = -4*n, -9 = -t*a + a - 3*n. Determine x(a).\n' | b'4\n' | b'Let x(s) = -s + 4. Let t be 39/12 + 1/(-4). Suppose 5*a - 12 = -4*n, -9 = -t*a + a - 3*n. Determine x(a).\n' | b'4\n' | deepmind/math_dataset |
b'Let l(r) = 3 - 13 + 0*r - r. Let p = 10018 - 10029. Calculate l(p).\n' | b'1\n' | b'Let l(r) = 3 - 13 + 0*r - r. Let p = 10018 - 10029. Calculate l(p).\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -116*r = -125*r. Solve 4*c + c = r, 2 = n + 3*c for n.\n' | b'2\n' | b'Suppose -116*r = -125*r. Solve 4*c + c = r, 2 = n + 3*c for n.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((z*z**(-1/4)*z)**(7/5))**(-49) assuming z is positive.\n' | b'z**(-2401/20)\n' | b'Simplify ((z*z**(-1/4)*z)**(7/5))**(-49) assuming z is positive.\n' | b'z**(-2401/20)\n' | deepmind/math_dataset |
b'Let y(r) = -2*r**2 + 11*r + 1. Let x be y(8). Let h be 2/(-8) + x/(-12). Solve m = -3*k + 11, -m = h*k - k - 6 for k.\n' | b'5\n' | b'Let y(r) = -2*r**2 + 11*r + 1. Let x be y(8). Let h be 2/(-8) + x/(-12). Solve m = -3*k + 11, -m = h*k - k - 6 for k.\n' | b'5\n' | deepmind/math_dataset |
b'Let s(p) = -p**2 - 7*p - 8. Let h(w) = 2*w**2 - 3*w - 2. Let j be h(-4). Let r = -5478 + 5506. Let l be (j/r)/((-1)/4). Determine s(l).\n' | b'-2\n' | b'Let s(p) = -p**2 - 7*p - 8. Let h(w) = 2*w**2 - 3*w - 2. Let j be h(-4). Let r = -5478 + 5506. Let l be (j/r)/((-1)/4). Determine s(l).\n' | b'-2\n' | deepmind/math_dataset |
b'Let d(t) = 2*t**3 + t**2 - 2. Let q(z) = 1202*z**4 - 6*z**3 - 3*z**2 - 4301. Let l(s) = -3*d(s) - q(s). Differentiate l(h) wrt h.\n' | b'-4808*h**3\n' | b'Let d(t) = 2*t**3 + t**2 - 2. Let q(z) = 1202*z**4 - 6*z**3 - 3*z**2 - 4301. Let l(s) = -3*d(s) - q(s). Differentiate l(h) wrt h.\n' | b'-4808*h**3\n' | deepmind/math_dataset |
b'Let w(p) = 14*p**3 + 4*p**2 - 3*p + 25. Let i(o) = 23*o**3 + 9*o**2 - 7*o + 49. Let a(j) = 3*i(j) - 5*w(j). Determine a(7).\n' | b'-20\n' | b'Let w(p) = 14*p**3 + 4*p**2 - 3*p + 25. Let i(o) = 23*o**3 + 9*o**2 - 7*o + 49. Let a(j) = 3*i(j) - 5*w(j). Determine a(7).\n' | b'-20\n' | deepmind/math_dataset |
b'Three letters picked without replacement from dkkdnkkdkdnkndd. What is prob of picking 2 k and 1 d?\n' | b'18/91\n' | b'Three letters picked without replacement from dkkdnkkdkdnkndd. What is prob of picking 2 k and 1 d?\n' | b'18/91\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k and 2 z when three letters picked without replacement from zkokxdxzdokkkok.\n' | b'6/455\n' | b'Calculate prob of picking 1 k and 2 z when three letters picked without replacement from zkokxdxzdokkkok.\n' | b'6/455\n' | deepmind/math_dataset |
b'What is prob of picking 3 y when three letters picked without replacement from {g: 2, y: 1}?\n' | b'0\n' | b'What is prob of picking 3 y when three letters picked without replacement from {g: 2, y: 1}?\n' | b'0\n' | deepmind/math_dataset |
b'Let o be -4*(-4)/(-24)*-3. Let t = o - 2. Let a(l) = l**3 + 0*l + 2 - l + 0*l + 0. Give a(t).\n' | b'2\n' | b'Let o be -4*(-4)/(-24)*-3. Let t = o - 2. Let a(l) = l**3 + 0*l + 2 - l + 0*l + 0. Give a(t).\n' | b'2\n' | deepmind/math_dataset |
b'Let x = 45 - 43. Suppose -g = 5, x*g = 5*v - 2 - 8. Find the third derivative of -44*w**2 + 0*w + 20*w**3 + 50*w**2 + v*w wrt w.\n' | b'120\n' | b'Let x = 45 - 43. Suppose -g = 5, x*g = 5*v - 2 - 8. Find the third derivative of -44*w**2 + 0*w + 20*w**3 + 50*w**2 + v*w wrt w.\n' | b'120\n' | deepmind/math_dataset |
b'Four letters picked without replacement from sjocp. What is prob of picking 3 c and 1 o?\n' | b'0\n' | b'Four letters picked without replacement from sjocp. What is prob of picking 3 c and 1 o?\n' | b'0\n' | deepmind/math_dataset |
b'Simplify b/(b*b**(-10))*b*b/(b*b**(2/51)*b) assuming b is positive.\n' | b'b**(508/51)\n' | b'Simplify b/(b*b**(-10))*b*b/(b*b**(2/51)*b) assuming b is positive.\n' | b'b**(508/51)\n' | deepmind/math_dataset |
b'Let q(g) = 2*g + 10. Let j be q(-5). Suppose 4*w - 3 = d, -3 = 2*w + d - 0. Let l be (j/(-1))/(w + -2). Solve 0 = x - y + 1 + 2, -y + 5 = l for x.\n' | b'2\n' | b'Let q(g) = 2*g + 10. Let j be q(-5). Suppose 4*w - 3 = d, -3 = 2*w + d - 0. Let l be (j/(-1))/(w + -2). Solve 0 = x - y + 1 + 2, -y + 5 = l for x.\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 4, w: 4, e: 3, p: 1, d: 4}. Give prob of sequence dwf.\n' | b'2/105\n' | b'Three letters picked without replacement from {f: 4, w: 4, e: 3, p: 1, d: 4}. Give prob of sequence dwf.\n' | b'2/105\n' | deepmind/math_dataset |
b'Simplify f**(-1)/((f/f**(10/7)*f)/f)*(f*f**7)/(f/(f/(f*f**11))) assuming f is positive.\n' | b'f**(-32/7)\n' | b'Simplify f**(-1)/((f/f**(10/7)*f)/f)*(f*f**7)/(f/(f/(f*f**11))) assuming f is positive.\n' | b'f**(-32/7)\n' | deepmind/math_dataset |
b'Suppose y - 2*y - 5 = 0, -3*y = -f + 15. Suppose f = 16*r - 12*r - 328. What is the third derivative of -82*b**5 + r*b**5 - b**6 + 4*b**2 wrt b?\n' | b'-120*b**3\n' | b'Suppose y - 2*y - 5 = 0, -3*y = -f + 15. Suppose f = 16*r - 12*r - 328. What is the third derivative of -82*b**5 + r*b**5 - b**6 + 4*b**2 wrt b?\n' | b'-120*b**3\n' | deepmind/math_dataset |
b'Let q(o) = -2*o**3 + 14*o**2 + 6*o - 39. Let p be q(7). Solve p*d - 1 + 2 = k, -2*k = -d - 7 for k.\n' | b'4\n' | b'Let q(o) = -2*o**3 + 14*o**2 + 6*o - 39. Let p be q(7). Solve p*d - 1 + 2 = k, -2*k = -d - 7 for k.\n' | b'4\n' | deepmind/math_dataset |
b'Find the second derivative of -341*g - 768*g**3 - 359*g**3 - 43*g - 361*g wrt g.\n' | b'-6762*g\n' | b'Find the second derivative of -341*g - 768*g**3 - 359*g**3 - 43*g - 361*g wrt g.\n' | b'-6762*g\n' | deepmind/math_dataset |
b'Suppose 52*m = 93*m. Suppose -5*n = 4*k - 41 + 4, 0 = -3*n - 4*k + 27. Solve m = -n*b - 25, -4*p = b + 2*b - 1 for p.\n' | b'4\n' | b'Suppose 52*m = 93*m. Suppose -5*n = 4*k - 41 + 4, 0 = -3*n - 4*k + 27. Solve m = -n*b - 25, -4*p = b + 2*b - 1 for p.\n' | b'4\n' | deepmind/math_dataset |
b'Let o(d) = -d**2 - 11*d - 4. Let n be o(-4). Let m = -113 - -117. Solve y - m = 5*b + 20, 2*b - 4*y + n = 0 for b.\n' | b'-4\n' | b'Let o(d) = -d**2 - 11*d - 4. Let n be o(-4). Let m = -113 - -117. Solve y - m = 5*b + 20, 2*b - 4*y + n = 0 for b.\n' | b'-4\n' | deepmind/math_dataset |
b'Let a(c) be the second derivative of c**5/20 - 7*c**4/12 + 2*c**3/3 + 3*c**2 + 6*c. What is a(6)?\n' | b'-6\n' | b'Let a(c) be the second derivative of c**5/20 - 7*c**4/12 + 2*c**3/3 + 3*c**2 + 6*c. What is a(6)?\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (h**(-7/5)*h/(h/h**12))**13*(h**(2/43)/h*h/(h/((h**14*h)/h*h)))**(-11/6) assuming h is positive.\n' | b'h**(72271/645)\n' | b'Simplify (h**(-7/5)*h/(h/h**12))**13*(h**(2/43)/h*h/(h/((h**14*h)/h*h)))**(-11/6) assuming h is positive.\n' | b'h**(72271/645)\n' | deepmind/math_dataset |
b'Let m = 307 - 305. Let c(n) = 2*n**3 - 3*n**2 + 3*n + 3. Give c(m).\n' | b'13\n' | b'Let m = 307 - 305. Let c(n) = 2*n**3 - 3*n**2 + 3*n + 3. Give c(m).\n' | b'13\n' | deepmind/math_dataset |
b'Let a(i) be the second derivative of i**3 - 68*i**2 - 2*i - 102. Let b be a(23). Solve 2*y = -2*s - 18, -4*y + 2 = -6*y + b*s for y.\n' | b'-5\n' | b'Let a(i) be the second derivative of i**3 - 68*i**2 - 2*i - 102. Let b be a(23). Solve 2*y = -2*s - 18, -4*y + 2 = -6*y + b*s for y.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of sequence gz when two letters picked without replacement from {q: 4, i: 2, g: 2, z: 1}?\n' | b'1/36\n' | b'What is prob of sequence gz when two letters picked without replacement from {q: 4, i: 2, g: 2, z: 1}?\n' | b'1/36\n' | deepmind/math_dataset |
b'Simplify (w**(-2/29)/w)/(w/(w**(5/4)*w))*(w**(-2/13)*w)/(w**(-3)*w) assuming w is positive.\n' | b'w**(4565/1508)\n' | b'Simplify (w**(-2/29)/w)/(w/(w**(5/4)*w))*(w**(-2/13)*w)/(w**(-3)*w) assuming w is positive.\n' | b'w**(4565/1508)\n' | deepmind/math_dataset |
b'What is the third derivative of 305*z**3 + 41*z**2 - 304*z**3 - 77*z**2 - 81*z**2 + 7*z**5 wrt z?\n' | b'420*z**2 + 6\n' | b'What is the third derivative of 305*z**3 + 41*z**2 - 304*z**3 - 77*z**2 - 81*z**2 + 7*z**5 wrt z?\n' | b'420*z**2 + 6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qgqgqq. Give prob of sequence qg.\n' | b'4/15\n' | b'Two letters picked without replacement from qgqgqq. Give prob of sequence qg.\n' | b'4/15\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xnasffm. What is prob of sequence msfa?\n' | b'1/420\n' | b'Four letters picked without replacement from xnasffm. What is prob of sequence msfa?\n' | b'1/420\n' | deepmind/math_dataset |
b'Simplify (q/(q*q**(-2/5)/q))/q**3*(q**(-2))**(2/25)*(q/q**2)**20/(q*(q/(q**(-3)*q)*q)/q*q**(-1/3)) assuming q is positive.\n' | b'q**(-1907/75)\n' | b'Simplify (q/(q*q**(-2/5)/q))/q**3*(q**(-2))**(2/25)*(q/q**2)**20/(q*(q/(q**(-3)*q)*q)/q*q**(-1/3)) assuming q is positive.\n' | b'q**(-1907/75)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jzjuzrzvzzwzzz. What is prob of sequence jjv?\n' | b'1/1092\n' | b'Three letters picked without replacement from jzjuzrzvzzwzzz. What is prob of sequence jjv?\n' | b'1/1092\n' | deepmind/math_dataset |
b'Simplify w**12/w**(-9) assuming w is positive.\n' | b'w**21\n' | b'Simplify w**12/w**(-9) assuming w is positive.\n' | b'w**21\n' | deepmind/math_dataset |
b'Let u = -7 - -11. Suppose u*y - 4*i = 16, -3*y + 4*y = 2*i + 5. Let b = -3 - -5. Solve -v = y*q + 2, -b*q + 5*v - 5 = 19 for q.\n' | b'-2\n' | b'Let u = -7 - -11. Suppose u*y - 4*i = 16, -3*y + 4*y = 2*i + 5. Let b = -3 - -5. Solve -v = y*q + 2, -b*q + 5*v - 5 = 19 for q.\n' | b'-2\n' | deepmind/math_dataset |
b'Let d(s) be the second derivative of 2*s**5/5 - 5*s**3/3 - 5*s. Find the second derivative of d(p) wrt p.\n' | b'48*p\n' | b'Let d(s) be the second derivative of 2*s**5/5 - 5*s**3/3 - 5*s. Find the second derivative of d(p) wrt p.\n' | b'48*p\n' | deepmind/math_dataset |
b'Let p be (-38)/(-14) + 2/7. Suppose -s - 7 = h + 11, 4*s + 92 = -5*h. Let v = h - -25. Solve p*q = 3*m - 6, v*m + 4*q = -q for m.\n' | b'1\n' | b'Let p be (-38)/(-14) + 2/7. Suppose -s - 7 = h + 11, 4*s + 92 = -5*h. Let v = h - -25. Solve p*q = 3*m - 6, v*m + 4*q = -q for m.\n' | b'1\n' | deepmind/math_dataset |
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