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 w = 2 + 0. Suppose f - 15 = -w*f. Let s be (1 + 0)*(-1 - -18). Solve u = 2*z - f, 4*u + u - s = -4*z for z.\n' | b'3\n' | b'Let w = 2 + 0. Suppose f - 15 = -w*f. Let s be (1 + 0)*(-1 - -18). Solve u = 2*z - f, 4*u + u - s = -4*z for z.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 2, y: 4, e: 2}. Give prob of picking 1 e and 1 z.\n' | b'1/7\n' | b'Two letters picked without replacement from {z: 2, y: 4, e: 2}. Give prob of picking 1 e and 1 z.\n' | b'1/7\n' | deepmind/math_dataset |
b'Suppose 7036*s - 7044*s = -32. Solve -49*u + 45*u + 8 = 2*i, -4*i = s*u for i.\n' | b'-4\n' | b'Suppose 7036*s - 7044*s = -32. Solve -49*u + 45*u + 8 = 2*i, -4*i = s*u for i.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 0 = -o + c + 8, -c = 2*o - 2*c - 17. What is the first derivative of -1 + 4 - 3 + o + 5*s**3 wrt s?\n' | b'15*s**2\n' | b'Suppose 0 = -o + c + 8, -c = 2*o - 2*c - 17. What is the first derivative of -1 + 4 - 3 + o + 5*s**3 wrt s?\n' | b'15*s**2\n' | deepmind/math_dataset |
b'Suppose 4*l + 156 = -4*u, 2*l = -1 - 7. Let s(c) = -c**3 - 34*c**2 + 35*c + 2. Let o be s(u). Solve 0 = 2*a - 5*i + o*i + 8, 0 = 4*a + 3*i - 20 for a.\n' | b'2\n' | b'Suppose 4*l + 156 = -4*u, 2*l = -1 - 7. Let s(c) = -c**3 - 34*c**2 + 35*c + 2. Let o be s(u). Solve 0 = 2*a - 5*i + o*i + 8, 0 = 4*a + 3*i - 20 for a.\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from rhrab. Give prob of picking 1 h, 1 r, and 1 a.\n' | b'1/5\n' | b'Three letters picked without replacement from rhrab. Give prob of picking 1 h, 1 r, and 1 a.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let v(c) be the third derivative of 0*c**4 - 2*c**2 + 0*c**3 + 0*c + 0*c**6 - 1/60*c**5 + 0 + 2/105*c**7. Find the third derivative of v(l) wrt l.\n' | b'96*l\n' | b'Let v(c) be the third derivative of 0*c**4 - 2*c**2 + 0*c**3 + 0*c + 0*c**6 - 1/60*c**5 + 0 + 2/105*c**7. Find the third derivative of v(l) wrt l.\n' | b'96*l\n' | deepmind/math_dataset |
b'Let q(l) = l - 5. Let t(z) = 230*z**2 - 293*z - 10. Let n(v) = 6*q(v) - 3*t(v). Find the second derivative of n(c) wrt c.\n' | b'-1380\n' | b'Let q(l) = l - 5. Let t(z) = 230*z**2 - 293*z - 10. Let n(v) = 6*q(v) - 3*t(v). Find the second derivative of n(c) wrt c.\n' | b'-1380\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {n: 4, t: 3, g: 1, d: 1, y: 8}. Give prob of picking 1 g, 2 y, and 1 t.\n' | b'3/85\n' | b'Four letters picked without replacement from {n: 4, t: 3, g: 1, d: 1, y: 8}. Give prob of picking 1 g, 2 y, and 1 t.\n' | b'3/85\n' | deepmind/math_dataset |
b'Let y(k) = 4*k - 7*k - 3*k + 3*k**2 + 9*k**3 + 5 - 4*k**2. Let d be y(2). What is the first derivative of 51 - d + 33 - 24*f**4 wrt f?\n' | b'-96*f**3\n' | b'Let y(k) = 4*k - 7*k - 3*k + 3*k**2 + 9*k**3 + 5 - 4*k**2. Let d be y(2). What is the first derivative of 51 - d + 33 - 24*f**4 wrt f?\n' | b'-96*f**3\n' | deepmind/math_dataset |
b'Let q be (-6)/(-9)*81/6. Solve 3*z = 4*n - 4, -q - 19 = -5*n - 2*z for n.\n' | b'4\n' | b'Let q be (-6)/(-9)*81/6. Solve 3*z = 4*n - 4, -q - 19 = -5*n - 2*z for n.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 1, l: 1, f: 1, b: 1, c: 4, t: 4}. Give prob of picking 1 t, 1 n, and 1 b.\n' | b'1/55\n' | b'Three letters picked without replacement from {n: 1, l: 1, f: 1, b: 1, c: 4, t: 4}. Give prob of picking 1 t, 1 n, and 1 b.\n' | b'1/55\n' | deepmind/math_dataset |
b'Let v(s) = -s**3 - 7*s**2 - 8*s - 13. Let k be v(-6). Let h be k/((-5)/(4 + 21)). Solve -i - r = -4*r + 12, 0 = -h*i - 2*r + 8 for i.\n' | b'0\n' | b'Let v(s) = -s**3 - 7*s**2 - 8*s - 13. Let k be v(-6). Let h be k/((-5)/(4 + 21)). Solve -i - r = -4*r + 12, 0 = -h*i - 2*r + 8 for i.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence xax when three letters picked without replacement from {e: 5, a: 1, x: 5}.\n' | b'2/99\n' | b'Calculate prob of sequence xax when three letters picked without replacement from {e: 5, a: 1, x: 5}.\n' | b'2/99\n' | deepmind/math_dataset |
b'What is prob of sequence fg when two letters picked without replacement from {t: 2, f: 1, g: 4, h: 1, a: 1}?\n' | b'1/18\n' | b'What is prob of sequence fg when two letters picked without replacement from {t: 2, f: 1, g: 4, h: 1, a: 1}?\n' | b'1/18\n' | deepmind/math_dataset |
b'Three letters picked without replacement from vvvvvvvsvss. What is prob of picking 2 s and 1 v?\n' | b'8/55\n' | b'Three letters picked without replacement from vvvvvvvsvss. What is prob of picking 2 s and 1 v?\n' | b'8/55\n' | deepmind/math_dataset |
b'Suppose 4*c + 3 = 2*y - 7*y, 0 = -5*c - 5*y. Solve -3*v = c*z - 24, 3*v - 2*z = 7*v - 24 for v.\n' | b'4\n' | b'Suppose 4*c + 3 = 2*y - 7*y, 0 = -5*c - 5*y. Solve -3*v = c*z - 24, 3*v - 2*z = 7*v - 24 for v.\n' | b'4\n' | deepmind/math_dataset |
b'Let g(k) = -k**2 + 9. Let f be g(0). Let m = -6 + f. Find the third derivative of 4*l**3 + l**m - 4*l**3 - 2*l**2 wrt l.\n' | b'6\n' | b'Let g(k) = -k**2 + 9. Let f be g(0). Let m = -6 + f. Find the third derivative of 4*l**3 + l**m - 4*l**3 - 2*l**2 wrt l.\n' | b'6\n' | deepmind/math_dataset |
b'What is prob of sequence ggz when three letters picked without replacement from {z: 2, v: 2, g: 5}?\n' | b'5/63\n' | b'What is prob of sequence ggz when three letters picked without replacement from {z: 2, v: 2, g: 5}?\n' | b'5/63\n' | deepmind/math_dataset |
b'What is prob of picking 1 d and 2 s when three letters picked without replacement from {d: 1, u: 13, s: 3}?\n' | b'3/680\n' | b'What is prob of picking 1 d and 2 s when three letters picked without replacement from {d: 1, u: 13, s: 3}?\n' | b'3/680\n' | deepmind/math_dataset |
b'Let k(a) = -10*a**3 + 2*a**2 + a + 1. Suppose 2*z = 3*i, 8*i - 2*z = 15 - 5. What is k(i)?\n' | b'-69\n' | b'Let k(a) = -10*a**3 + 2*a**2 + a + 1. Suppose 2*z = 3*i, 8*i - 2*z = 15 - 5. What is k(i)?\n' | b'-69\n' | deepmind/math_dataset |
b'Three letters picked without replacement from dippiddppp. What is prob of sequence idi?\n' | b'1/120\n' | b'Three letters picked without replacement from dippiddppp. What is prob of sequence idi?\n' | b'1/120\n' | deepmind/math_dataset |
b'Suppose 5*g - 135 = -0*g - 5*f, -4 = f. Let h(z) = -7*z**2 - 390*z + 104. Let m be h(-56). Let s = g + m. Solve 0*x + 4*x + b = -19, 0 = 2*x + 5*b + s for x.\n' | b'-4\n' | b'Suppose 5*g - 135 = -0*g - 5*f, -4 = f. Let h(z) = -7*z**2 - 390*z + 104. Let m be h(-56). Let s = g + m. Solve 0*x + 4*x + b = -19, 0 = 2*x + 5*b + s for x.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 d, 1 h, and 2 o when four letters picked without replacement from {h: 2, q: 1, d: 1, f: 2, o: 2}.\n' | b'1/35\n' | b'Calculate prob of picking 1 d, 1 h, and 2 o when four letters picked without replacement from {h: 2, q: 1, d: 1, f: 2, o: 2}.\n' | b'1/35\n' | deepmind/math_dataset |
b'Let z(l) = -5*l + 88. Let r be z(17). Let d(o) = 3*o**2 + 7. Let h(k) = k**2 + 2. Let g(c) = r*d(c) - 8*h(c). Calculate g(0).\n' | b'5\n' | b'Let z(l) = -5*l + 88. Let r be z(17). Let d(o) = 3*o**2 + 7. Let h(k) = k**2 + 2. Let g(c) = r*d(c) - 8*h(c). Calculate g(0).\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of picking 1 c and 1 o when two letters picked without replacement from {h: 1, c: 2, o: 3, i: 1, b: 4, f: 1}?\n' | b'1/11\n' | b'What is prob of picking 1 c and 1 o when two letters picked without replacement from {h: 1, c: 2, o: 3, i: 1, b: 4, f: 1}?\n' | b'1/11\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 6, r: 3, k: 2, a: 1}. What is prob of picking 3 u and 1 r?\n' | b'4/33\n' | b'Four letters picked without replacement from {u: 6, r: 3, k: 2, a: 1}. What is prob of picking 3 u and 1 r?\n' | b'4/33\n' | deepmind/math_dataset |
b'Let i(d) = d**3 - 11*d**2 + 9*d + 15. Let s be i(10). Suppose -6*o + s*o + 3 = 0. Solve -3*f + 6 = o*c, -6*f + 2 = -f - 3*c for f.\n' | b'1\n' | b'Let i(d) = d**3 - 11*d**2 + 9*d + 15. Let s be i(10). Suppose -6*o + s*o + 3 = 0. Solve -3*f + 6 = o*c, -6*f + 2 = -f - 3*c for f.\n' | b'1\n' | deepmind/math_dataset |
b'What is the second derivative of 7*q + 4*q**4 - 10 - 11 + 21 wrt q?\n' | b'48*q**2\n' | b'What is the second derivative of 7*q + 4*q**4 - 10 - 11 + 21 wrt q?\n' | b'48*q**2\n' | deepmind/math_dataset |
b'Simplify (((p**2*p**(-1/3)/p)/(p**1*p)**(-41))**(-6/19))**(-5/8) assuming p is positive.\n' | b'p**(310/19)\n' | b'Simplify (((p**2*p**(-1/3)/p)/(p**1*p)**(-41))**(-6/19))**(-5/8) assuming p is positive.\n' | b'p**(310/19)\n' | deepmind/math_dataset |
b'What is prob of sequence ss when two letters picked without replacement from {s: 3, h: 1}?\n' | b'1/2\n' | b'What is prob of sequence ss when two letters picked without replacement from {s: 3, h: 1}?\n' | b'1/2\n' | deepmind/math_dataset |
b'Simplify (q/(q*q/(q*q*q*q*q*q*q**(-15/4))))/(q/(q**(-12)/q)*q)*((q**27*q)/q)**(-13) assuming q is positive.\n' | b'q**(-1459/4)\n' | b'Simplify (q/(q*q/(q*q*q*q*q*q*q**(-15/4))))/(q/(q**(-12)/q)*q)*((q**27*q)/q)**(-13) assuming q is positive.\n' | b'q**(-1459/4)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 3, o: 1, j: 5, n: 1, k: 1}. Give prob of sequence ko.\n' | b'1/110\n' | b'Two letters picked without replacement from {r: 3, o: 1, j: 5, n: 1, k: 1}. Give prob of sequence ko.\n' | b'1/110\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 q and 1 x when three letters picked without replacement from {e: 4, q: 2, r: 2, x: 2}.\n' | b'1/60\n' | b'Calculate prob of picking 2 q and 1 x when three letters picked without replacement from {e: 4, q: 2, r: 2, x: 2}.\n' | b'1/60\n' | deepmind/math_dataset |
b'Simplify (t*t/(t/(t*t*t**0))*t**6)/(t**3*t*t*t**3*t)*t/t**(-3/7)*(t*t/t**(-3)*t)/t*t**6/t*t**6 assuming t is positive.\n' | b't**(122/7)\n' | b'Simplify (t*t/(t/(t*t*t**0))*t**6)/(t**3*t*t*t**3*t)*t/t**(-3/7)*(t*t/t**(-3)*t)/t*t**6/t*t**6 assuming t is positive.\n' | b't**(122/7)\n' | deepmind/math_dataset |
b'What is prob of picking 4 l when four letters picked without replacement from {l: 4, q: 7}?\n' | b'1/330\n' | b'What is prob of picking 4 l when four letters picked without replacement from {l: 4, q: 7}?\n' | b'1/330\n' | deepmind/math_dataset |
b'What is the second derivative of 8 - 3*b**4 - 20*b**4 + 22*b - 4 wrt b?\n' | b'-276*b**2\n' | b'What is the second derivative of 8 - 3*b**4 - 20*b**4 + 22*b - 4 wrt b?\n' | b'-276*b**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 1, n: 2, g: 6, p: 3, l: 5}. What is prob of sequence gn?\n' | b'3/68\n' | b'Two letters picked without replacement from {q: 1, n: 2, g: 6, p: 3, l: 5}. What is prob of sequence gn?\n' | b'3/68\n' | deepmind/math_dataset |
b'Let l be (1 + -1 + 2)/(-1). Let j(u) = -3*u**3 + 2*u**3 - 5 + 6 - 3*u**2. Give j(l).\n' | b'-3\n' | b'Let l be (1 + -1 + 2)/(-1). Let j(u) = -3*u**3 + 2*u**3 - 5 + 6 - 3*u**2. Give j(l).\n' | b'-3\n' | deepmind/math_dataset |
b'Let k = 30 - 18. Let q = -6 + k. Let u(r) = 7*r + 3 + 6*r**3 - q*r - 4. What is u(1)?\n' | b'6\n' | b'Let k = 30 - 18. Let q = -6 + k. Let u(r) = 7*r + 3 + 6*r**3 - q*r - 4. What is u(1)?\n' | b'6\n' | deepmind/math_dataset |
b'Let y(i) = -i**3 - 8*i**2 - 2*i - 9. Let v be -7 + (-4)/(-2 - -6). Let l be y(v). Let q(s) = -l*s - 2 - 3*s + 8*s. Determine q(2).\n' | b'-6\n' | b'Let y(i) = -i**3 - 8*i**2 - 2*i - 9. Let v be -7 + (-4)/(-2 - -6). Let l be y(v). Let q(s) = -l*s - 2 - 3*s + 8*s. Determine q(2).\n' | b'-6\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 p, 1 e, and 1 k when three letters picked without replacement from {p: 1, k: 3, a: 4, e: 2, z: 5, c: 5}.\n' | b'1/190\n' | b'Calculate prob of picking 1 p, 1 e, and 1 k when three letters picked without replacement from {p: 1, k: 3, a: 4, e: 2, z: 5, c: 5}.\n' | b'1/190\n' | deepmind/math_dataset |
b'Let g be ((-2)/3)/((-14)/63). Suppose -2*j = -g*j + 1. Solve -4*w - w + 4*q + j = 0, -4*w - 3*q = 24 for w.\n' | b'-3\n' | b'Let g be ((-2)/3)/((-14)/63). Suppose -2*j = -g*j + 1. Solve -4*w - w + 4*q + j = 0, -4*w - 3*q = 24 for w.\n' | b'-3\n' | deepmind/math_dataset |
b'Let d(v) = -5*v + 12. Let l(c) = -4*c + 11. Let n = -32 - -26. Let s(j) = n*d(j) + 7*l(j). Let h = 34 - 39. Give s(h).\n' | b'-5\n' | b'Let d(v) = -5*v + 12. Let l(c) = -4*c + 11. Let n = -32 - -26. Let s(j) = n*d(j) + 7*l(j). Let h = 34 - 39. Give s(h).\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((h/(h**(-5)*h))**(18/13))**(-17/5) assuming h is positive.\n' | b'h**(-306/13)\n' | b'Simplify ((h/(h**(-5)*h))**(18/13))**(-17/5) assuming h is positive.\n' | b'h**(-306/13)\n' | deepmind/math_dataset |
b'Let b(d) = -16 - 16*d + 8*d**2 + 6*d**2 - 4*d**2. Let i(u) = -7*u**2 + 11*u + 11. Let r(z) = 5*b(z) + 7*i(z). Determine r(5).\n' | b'7\n' | b'Let b(d) = -16 - 16*d + 8*d**2 + 6*d**2 - 4*d**2. Let i(u) = -7*u**2 + 11*u + 11. Let r(z) = 5*b(z) + 7*i(z). Determine r(5).\n' | b'7\n' | deepmind/math_dataset |
b'Let i be -3*(-3)/2*4/6. Let k(h) = -7*h**3 - 23*h**2. Let y(l) = -4*l**3 - 11*l**2. Let o(n) = i*k(n) - 5*y(n). What is the third derivative of o(g) wrt g?\n' | b'-6\n' | b'Let i be -3*(-3)/2*4/6. Let k(h) = -7*h**3 - 23*h**2. Let y(l) = -4*l**3 - 11*l**2. Let o(n) = i*k(n) - 5*y(n). What is the third derivative of o(g) wrt g?\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose 35*d - 37*d = -6. Let f be (-9 + d)*(-2)/4. Solve -3*m + f*g - 2 - 4 = 0, 5*g = 0 for m.\n' | b'-2\n' | b'Suppose 35*d - 37*d = -6. Let f be (-9 + d)*(-2)/4. Solve -3*m + f*g - 2 - 4 = 0, 5*g = 0 for m.\n' | b'-2\n' | deepmind/math_dataset |
b'Let s(j) = -j**3 + j**2 + 2*j. Let z(u) = -2521*u**3 - 2656*u**2 + 8*u. Let v(q) = -4*s(q) + z(q). What is the third derivative of v(o) wrt o?\n' | b'-15102\n' | b'Let s(j) = -j**3 + j**2 + 2*j. Let z(u) = -2521*u**3 - 2656*u**2 + 8*u. Let v(q) = -4*s(q) + z(q). What is the third derivative of v(o) wrt o?\n' | b'-15102\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ppnlzzlznzlo. Give prob of picking 1 o and 1 p.\n' | b'1/33\n' | b'Two letters picked without replacement from ppnlzzlznzlo. Give prob of picking 1 o and 1 p.\n' | b'1/33\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lyyddj. Give prob of sequence ddyj.\n' | b'1/90\n' | b'Four letters picked without replacement from lyyddj. Give prob of sequence ddyj.\n' | b'1/90\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qoquqoquouqqo. What is prob of picking 3 q?\n' | b'10/143\n' | b'Three letters picked without replacement from qoquqoquouqqo. What is prob of picking 3 q?\n' | b'10/143\n' | deepmind/math_dataset |
b'Three letters picked without replacement from fmwwoufdufww. Give prob of picking 1 o, 1 f, and 1 w.\n' | b'3/55\n' | b'Three letters picked without replacement from fmwwoufdufww. Give prob of picking 1 o, 1 f, and 1 w.\n' | b'3/55\n' | deepmind/math_dataset |
b'Let c = -816 + 819. Solve -5*x - 2*v = v + 20, 0 = -c*x + v - 12 for x.\n' | b'-4\n' | b'Let c = -816 + 819. Solve -5*x - 2*v = v + 20, 0 = -c*x + v - 12 for x.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (f/(f/(f**(1/2)/f)))**(-46)*(f*f*f*f*f/(f*f*f/(f/(f/(f*f/((f**(13/5)/f*f)/f)*f)))*f)*f*f*f)**(-5/19) assuming f is positive.\n' | b'f**(410/19)\n' | b'Simplify (f/(f/(f**(1/2)/f)))**(-46)*(f*f*f*f*f/(f*f*f/(f/(f/(f*f/((f**(13/5)/f*f)/f)*f)))*f)*f*f*f)**(-5/19) assuming f is positive.\n' | b'f**(410/19)\n' | deepmind/math_dataset |
b'What is prob of picking 1 k, 1 d, 1 f, and 1 c when four letters picked without replacement from ckwdmdfkw?\n' | b'2/63\n' | b'What is prob of picking 1 k, 1 d, 1 f, and 1 c when four letters picked without replacement from ckwdmdfkw?\n' | b'2/63\n' | deepmind/math_dataset |
b'What is the second derivative of -6*y**2 - 5*y - y**2 + 6*y - 5*y wrt y?\n' | b'-14\n' | b'What is the second derivative of -6*y**2 - 5*y - y**2 + 6*y - 5*y wrt y?\n' | b'-14\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {b: 3, s: 4, z: 3, r: 3}. What is prob of sequence rsbz?\n' | b'9/1430\n' | b'Four letters picked without replacement from {b: 3, s: 4, z: 3, r: 3}. What is prob of sequence rsbz?\n' | b'9/1430\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qqiiaqq. What is prob of picking 2 q and 1 a?\n' | b'6/35\n' | b'Three letters picked without replacement from qqiiaqq. What is prob of picking 2 q and 1 a?\n' | b'6/35\n' | deepmind/math_dataset |
b'Suppose 2*g - r + 434 - 488 = 0, 17 = g + 2*r. Solve -5*h + 37 - 12 = 0, 5*h = 3*w + g for w.\n' | b'0\n' | b'Suppose 2*g - r + 434 - 488 = 0, 17 = g + 2*r. Solve -5*h + 37 - 12 = 0, 5*h = 3*w + g for w.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -t - n = -0*n - 2, 5*t - 4*n = -35. Let y = t + 5. Find the third derivative of -10*r**y - r**4 - 4*r**2 - r**4 + 10*r**2 wrt r.\n' | b'-48*r\n' | b'Suppose -t - n = -0*n - 2, 5*t - 4*n = -35. Let y = t + 5. Find the third derivative of -10*r**y - r**4 - 4*r**2 - r**4 + 10*r**2 wrt r.\n' | b'-48*r\n' | deepmind/math_dataset |
b'What is prob of sequence ll when two letters picked without replacement from {b: 12, l: 3}?\n' | b'1/35\n' | b'What is prob of sequence ll when two letters picked without replacement from {b: 12, l: 3}?\n' | b'1/35\n' | deepmind/math_dataset |
b'Let x(m) be the second derivative of -6*m - 5/6*m**3 - 1/60*m**6 - 1/24*m**4 + 0*m**5 + 0 + 0*m**2. Let k(w) be the second derivative of x(w). What is k(1)?\n' | b'-7\n' | b'Let x(m) be the second derivative of -6*m - 5/6*m**3 - 1/60*m**6 - 1/24*m**4 + 0*m**5 + 0 + 0*m**2. Let k(w) be the second derivative of x(w). What is k(1)?\n' | b'-7\n' | deepmind/math_dataset |
b'Let d = -5 - -21. Let b = d - 11. Solve b*u + 5 = -4*h - 4, -15 = -u - 5*h for u.\n' | b'-5\n' | b'Let d = -5 - -21. Let b = d - 11. Solve b*u + 5 = -4*h - 4, -15 = -u - 5*h for u.\n' | b'-5\n' | deepmind/math_dataset |
b'Let w(i) be the first derivative of -6*i**7/7 + 3*i**3 - 7. Find the third derivative of w(c) wrt c.\n' | b'-720*c**3\n' | b'Let w(i) be the first derivative of -6*i**7/7 + 3*i**3 - 7. Find the third derivative of w(c) wrt c.\n' | b'-720*c**3\n' | deepmind/math_dataset |
b'Suppose 18 = 3*h + k + 3*k, -2*k - 12 = -2*h. What is the derivative of -22 + h*p**3 + 17*p**3 + 25*p**3 - 17 wrt p?\n' | b'144*p**2\n' | b'Suppose 18 = 3*h + k + 3*k, -2*k - 12 = -2*h. What is the derivative of -22 + h*p**3 + 17*p**3 + 25*p**3 - 17 wrt p?\n' | b'144*p**2\n' | deepmind/math_dataset |
b'Let n be (17 + -2)*2/(-3). Let r(j) be the second derivative of j**5/20 + 5*j**4/6 - j**2/2 + 4*j + 283. Determine r(n).\n' | b'-1\n' | b'Let n be (17 + -2)*2/(-3). Let r(j) be the second derivative of j**5/20 + 5*j**4/6 - j**2/2 + 4*j + 283. Determine r(n).\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of sequence pppp when four letters picked without replacement from pppppppppp?\n' | b'1\n' | b'What is prob of sequence pppp when four letters picked without replacement from pppppppppp?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 2*b + 4*t - 40 = 2*t, 5*b - 109 = 4*t. Let g = 16 - b. Let h(y) = y + 1. What is h(g)?\n' | b'-4\n' | b'Suppose 2*b + 4*t - 40 = 2*t, 5*b - 109 = 4*t. Let g = 16 - b. Let h(y) = y + 1. What is h(g)?\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 5, k: 5, y: 2, u: 1, t: 3}. Give prob of sequence yrky.\n' | b'5/4368\n' | b'Four letters picked without replacement from {r: 5, k: 5, y: 2, u: 1, t: 3}. Give prob of sequence yrky.\n' | b'5/4368\n' | deepmind/math_dataset |
b'Calculate prob of sequence md when two letters picked without replacement from {d: 2, m: 8}.\n' | b'8/45\n' | b'Calculate prob of sequence md when two letters picked without replacement from {d: 2, m: 8}.\n' | b'8/45\n' | deepmind/math_dataset |
b'Simplify (u**(2/3))**(3/14) assuming u is positive.\n' | b'u**(1/7)\n' | b'Simplify (u**(2/3))**(3/14) assuming u is positive.\n' | b'u**(1/7)\n' | deepmind/math_dataset |
b'Let l(f) = f + 6. Let g be 1/(-3) - 30/(-9). Suppose -x + 8 = g*x. Suppose 5*w + q + 22 = 0, -x*w - 2*w - 26 = -2*q. What is l(w)?\n' | b'1\n' | b'Let l(f) = f + 6. Let g be 1/(-3) - 30/(-9). Suppose -x + 8 = g*x. Suppose 5*w + q + 22 = 0, -x*w - 2*w - 26 = -2*q. What is l(w)?\n' | b'1\n' | deepmind/math_dataset |
b'What is the third derivative of -o**2 - 12*o**6 + o**6 + 2*o**2 + o**6 wrt o?\n' | b'-1200*o**3\n' | b'What is the third derivative of -o**2 - 12*o**6 + o**6 + 2*o**2 + o**6 wrt o?\n' | b'-1200*o**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 17, e: 1}. What is prob of sequence be?\n' | b'1/18\n' | b'Two letters picked without replacement from {b: 17, e: 1}. What is prob of sequence be?\n' | b'1/18\n' | deepmind/math_dataset |
b'Let o = 38 + -35. Solve 2*y = -4*g + 18, -o*g = y - 4*g for y.\n' | b'3\n' | b'Let o = 38 + -35. Solve 2*y = -4*g + 18, -o*g = y - 4*g for y.\n' | b'3\n' | deepmind/math_dataset |
b'Let w(d) = 7*d**2 - 11. Suppose -x - 3*x - 20 = 0. Let q(t) = -3*t**2 + 5. Let f(b) = x*q(b) - 2*w(b). Differentiate f(l) with respect to l.\n' | b'2*l\n' | b'Let w(d) = 7*d**2 - 11. Suppose -x - 3*x - 20 = 0. Let q(t) = -3*t**2 + 5. Let f(b) = x*q(b) - 2*w(b). Differentiate f(l) with respect to l.\n' | b'2*l\n' | deepmind/math_dataset |
b'What is prob of picking 2 w and 1 s when three letters picked without replacement from {w: 2, s: 1}?\n' | b'1\n' | b'What is prob of picking 2 w and 1 s when three letters picked without replacement from {w: 2, s: 1}?\n' | b'1\n' | deepmind/math_dataset |
b'Let v(z) = 3*z**2 - 19*z - 9. Let l(w) = -w**2 + 9*w + 5. Let d(q) = 2*q - 1. Let x be d(3). Let h = 184 + -182. Let t(i) = h*v(i) + x*l(i). Give t(-6).\n' | b'1\n' | b'Let v(z) = 3*z**2 - 19*z - 9. Let l(w) = -w**2 + 9*w + 5. Let d(q) = 2*q - 1. Let x be d(3). Let h = 184 + -182. Let t(i) = h*v(i) + x*l(i). Give t(-6).\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -2*x + 132 = 46. Suppose -x = -5*m + 22. Solve n - 2 = 4*r, -n + 5*r + m = -5*n for n.\n' | b'-2\n' | b'Suppose -2*x + 132 = 46. Suppose -x = -5*m + 22. Solve n - 2 = 4*r, -n + 5*r + m = -5*n for n.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 1, o: 11, n: 3}. Give prob of picking 2 o.\n' | b'11/21\n' | b'Two letters picked without replacement from {y: 1, o: 11, n: 3}. Give prob of picking 2 o.\n' | b'11/21\n' | deepmind/math_dataset |
b'Let l be ((-16)/10)/(62/(-310)) + -5. Solve 4*j + l*b + 7 = 0, -18 = 3*j - 11*b + 9*b for j.\n' | b'-4\n' | b'Let l be ((-16)/10)/(62/(-310)) + -5. Solve 4*j + l*b + 7 = 0, -18 = 3*j - 11*b + 9*b for j.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 l when two letters picked without replacement from {v: 1, w: 3, a: 6, l: 8}.\n' | b'28/153\n' | b'Calculate prob of picking 2 l when two letters picked without replacement from {v: 1, w: 3, a: 6, l: 8}.\n' | b'28/153\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 2, p: 8}. Give prob of sequence pkp.\n' | b'7/45\n' | b'Three letters picked without replacement from {k: 2, p: 8}. Give prob of sequence pkp.\n' | b'7/45\n' | deepmind/math_dataset |
b'Let w = -287 + 299. Solve 0 = -4*p + n + w, -2*p - 6*n + n + 28 = 0 for p.\n' | b'4\n' | b'Let w = -287 + 299. Solve 0 = -4*p + n + w, -2*p - 6*n + n + 28 = 0 for p.\n' | b'4\n' | deepmind/math_dataset |
b'Let i(f) = f**2 + 6*f - 69. Let l be i(6). Find the third derivative of 4*h**2 - 6*h**l + 68*h - 21*h**3 + 70*h - 147*h wrt h.\n' | b'-162\n' | b'Let i(f) = f**2 + 6*f - 69. Let l be i(6). Find the third derivative of 4*h**2 - 6*h**l + 68*h - 21*h**3 + 70*h - 147*h wrt h.\n' | b'-162\n' | deepmind/math_dataset |
b'Let k(m) = -6*m - 58. Let w(n) = -3*n - 19. Let t(p) = 3*k(p) - 8*w(p). Let o be t(4). Suppose 0 = -q + 1 + 1. Solve q*c - 7 = y, -7*y + 4*c = -o*y + 17 for y.\n' | b'-1\n' | b'Let k(m) = -6*m - 58. Let w(n) = -3*n - 19. Let t(p) = 3*k(p) - 8*w(p). Let o be t(4). Suppose 0 = -q + 1 + 1. Solve q*c - 7 = y, -7*y + 4*c = -o*y + 17 for y.\n' | b'-1\n' | deepmind/math_dataset |
b'Let u = -16 - -20. Suppose -u*c = 1 + 15. Let i(r) = -r**2 - 2*r. Let j(b) = -b**2 - 2*b - 1. Let s(v) = -3*i(v) + 2*j(v). Calculate s(c).\n' | b'6\n' | b'Let u = -16 - -20. Suppose -u*c = 1 + 15. Let i(r) = -r**2 - 2*r. Let j(b) = -b**2 - 2*b - 1. Let s(v) = -3*i(v) + 2*j(v). Calculate s(c).\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of sequence eee when three letters picked without replacement from eeee.\n' | b'1\n' | b'Calculate prob of sequence eee when three letters picked without replacement from eeee.\n' | b'1\n' | deepmind/math_dataset |
b'Let s(f) = -13*f**2 - 3*f - 15. Let k(r) be the first derivative of 7*r**3/3 + r**2 + 8*r + 1. Suppose 3*z = 5 + 13. Let o(d) = z*s(d) + 11*k(d). What is o(4)?\n' | b'-2\n' | b'Let s(f) = -13*f**2 - 3*f - 15. Let k(r) be the first derivative of 7*r**3/3 + r**2 + 8*r + 1. Suppose 3*z = 5 + 13. Let o(d) = z*s(d) + 11*k(d). What is o(4)?\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 3*k - 5 = -5*z, -2 = -k + 2*z - 4. Suppose 9*b - 4*b = 25. Solve b*c + 40 = 5*u - k*c, -3*u - 8 = 5*c for u.\n' | b'4\n' | b'Suppose 3*k - 5 = -5*z, -2 = -k + 2*z - 4. Suppose 9*b - 4*b = 25. Solve b*c + 40 = 5*u - k*c, -3*u - 8 = 5*c for u.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -397 = 4*k - 4*q + 5*q, 5*q - 391 = 4*k. Let l be 2/8 - k/36. Solve 4*g = -w - 0*w + 8, -l*w + 11 = -g for w.\n' | b'4\n' | b'Suppose -397 = 4*k - 4*q + 5*q, 5*q - 391 = 4*k. Let l be 2/8 - k/36. Solve 4*g = -w - 0*w + 8, -l*w + 11 = -g for w.\n' | b'4\n' | deepmind/math_dataset |
b'Find the second derivative of -2*c + 2*c**2 + 609 + 497 + 501*c**4 + 52*c**3 - 53*c**3 wrt c.\n' | b'6012*c**2 - 6*c + 4\n' | b'Find the second derivative of -2*c + 2*c**2 + 609 + 497 + 501*c**4 + 52*c**3 - 53*c**3 wrt c.\n' | b'6012*c**2 - 6*c + 4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from pixpxxxxpxppiixx. What is prob of sequence xpx?\n' | b'1/12\n' | b'Three letters picked without replacement from pixpxxxxpxppiixx. What is prob of sequence xpx?\n' | b'1/12\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 3, p: 5}. Give prob of sequence pp.\n' | b'5/14\n' | b'Two letters picked without replacement from {r: 3, p: 5}. Give prob of sequence pp.\n' | b'5/14\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c and 1 w when two letters picked without replacement from cwuweclcuuw.\n' | b'9/55\n' | b'Calculate prob of picking 1 c and 1 w when two letters picked without replacement from cwuweclcuuw.\n' | b'9/55\n' | deepmind/math_dataset |
b'Let v(l) = -l**2 - l + 7. Let y(w) = -51*w**2 + 22*w + 3. Let t be y(-2). Let o = t - -241. Determine v(o).\n' | b'-5\n' | b'Let v(l) = -l**2 - l + 7. Let y(w) = -51*w**2 + 22*w + 3. Let t be y(-2). Let o = t - -241. Determine v(o).\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 6 = -g - g. Let w(m) = -2*m - 3. Let l be w(g). Solve 2 = -q + d - 1, 5 = -q + l*d for q.\n' | b'-2\n' | b'Suppose 6 = -g - g. Let w(m) = -2*m - 3. Let l be w(g). Solve 2 = -q + d - 1, 5 = -q + l*d for q.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 2*s - 9 = -3*x, 2 = -2*s + s + 5*x. What is the first derivative of -s*q**2 + 5 - 2*q**2 + 2*q**2 - 1 wrt q?\n' | b'-6*q\n' | b'Suppose 2*s - 9 = -3*x, 2 = -2*s + s + 5*x. What is the first derivative of -s*q**2 + 5 - 2*q**2 + 2*q**2 - 1 wrt q?\n' | b'-6*q\n' | deepmind/math_dataset |
b'Simplify j*(j**24/j*j)/j*j**24*(j/j**(2/7))/(j/j**(2/5)) assuming j is positive.\n' | b'j**(1684/35)\n' | b'Simplify j*(j**24/j*j)/j*j**24*(j/j**(2/7))/(j/j**(2/5)) assuming j is positive.\n' | b'j**(1684/35)\n' | deepmind/math_dataset |
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