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'Four letters picked without replacement from llllrrll. Give prob of sequence rlrl.\n' | b'1/28\n' | b'Four letters picked without replacement from llllrrll. Give prob of sequence rlrl.\n' | b'1/28\n' | deepmind/math_dataset |
b'Let f = -32 + 36. Suppose 0 = -0*s + s - f. Find the third derivative of 41*l**4 - 78*l**s - 19*l**2 + 22*l**4 wrt l.\n' | b'-360*l\n' | b'Let f = -32 + 36. Suppose 0 = -0*s + s - f. Find the third derivative of 41*l**4 - 78*l**s - 19*l**2 + 22*l**4 wrt l.\n' | b'-360*l\n' | deepmind/math_dataset |
b'Let f(u) = u**3 + 3*u**2 + 2*u - 1. Let y be f(-3). Let x = -4 - y. Let w = x + -3. Solve -5*h + 25 = w, -3*h + 11 = 5*m - m for m.\n' | b'-1\n' | b'Let f(u) = u**3 + 3*u**2 + 2*u - 1. Let y be f(-3). Let x = -4 - y. Let w = x + -3. Solve -5*h + 25 = w, -3*h + 11 = 5*m - m for m.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rrhvy. Give prob of picking 2 r.\n' | b'1/10\n' | b'Two letters picked without replacement from rrhvy. Give prob of picking 2 r.\n' | b'1/10\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 k when two letters picked without replacement from {k: 6, r: 4}.\n' | b'1/3\n' | b'Calculate prob of picking 2 k when two letters picked without replacement from {k: 6, r: 4}.\n' | b'1/3\n' | deepmind/math_dataset |
b'Calculate prob of sequence nnnn when four letters picked without replacement from {n: 6, p: 2}.\n' | b'3/14\n' | b'Calculate prob of sequence nnnn when four letters picked without replacement from {n: 6, p: 2}.\n' | b'3/14\n' | deepmind/math_dataset |
b'Simplify (n/n**(-1/2)*n/n**(-2/29))**39 assuming n is positive.\n' | b'n**(5811/58)\n' | b'Simplify (n/n**(-1/2)*n/n**(-2/29))**39 assuming n is positive.\n' | b'n**(5811/58)\n' | deepmind/math_dataset |
b'Simplify ((q/((q*q*q**0)/q)*q)/q)**(-46) assuming q is positive.\n' | b'1\n' | b'Simplify ((q/((q*q*q**0)/q)*q)/q)**(-46) assuming q is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vvvvevev. What is prob of sequence ve?\n' | b'3/14\n' | b'Two letters picked without replacement from vvvvevev. What is prob of sequence ve?\n' | b'3/14\n' | deepmind/math_dataset |
b'What is prob of sequence kfhf when four letters picked without replacement from {h: 3, u: 4, k: 7, f: 2, b: 3}?\n' | b'7/15504\n' | b'What is prob of sequence kfhf when four letters picked without replacement from {h: 3, u: 4, k: 7, f: 2, b: 3}?\n' | b'7/15504\n' | deepmind/math_dataset |
b'What is prob of picking 1 m, 1 r, and 1 o when three letters picked without replacement from roymmryomormmrr?\n' | b'15/91\n' | b'What is prob of picking 1 m, 1 r, and 1 o when three letters picked without replacement from roymmryomormmrr?\n' | b'15/91\n' | deepmind/math_dataset |
b'Let u(k) = k**3 + 6*k**2 + 4. Let j be u(-6). Let m(h) be the third derivative of -h**2 + 0 + 3/8*h**j + 0*h**3 + 0*h. Give m(-1).\n' | b'-9\n' | b'Let u(k) = k**3 + 6*k**2 + 4. Let j be u(-6). Let m(h) be the third derivative of -h**2 + 0 + 3/8*h**j + 0*h**3 + 0*h. Give m(-1).\n' | b'-9\n' | deepmind/math_dataset |
b'What is prob of picking 1 g and 3 f when four letters picked without replacement from {g: 1, f: 11}?\n' | b'1/3\n' | b'What is prob of picking 1 g and 3 f when four letters picked without replacement from {g: 1, f: 11}?\n' | b'1/3\n' | deepmind/math_dataset |
b'Simplify (i/((i**(3/10)*i)/i*i*i)*i)/i**7 assuming i is positive.\n' | b'i**(-73/10)\n' | b'Simplify (i/((i**(3/10)*i)/i*i*i)*i)/i**7 assuming i is positive.\n' | b'i**(-73/10)\n' | deepmind/math_dataset |
b'Let t be (-12 + -6)*(8/(-3))/2. Solve 0*d = 4*h + d - t, -2*h - 5*d + 30 = 0 for h.\n' | b'5\n' | b'Let t be (-12 + -6)*(8/(-3))/2. Solve 0*d = 4*h + d - t, -2*h - 5*d + 30 = 0 for h.\n' | b'5\n' | deepmind/math_dataset |
b'Let w = 0 + 2. Solve -3*p + w*m = -4, p + 12 = 5*p - 4*m for p.\n' | b'-2\n' | b'Let w = 0 + 2. Solve -3*p + w*m = -4, p + 12 = 5*p - 4*m for p.\n' | b'-2\n' | deepmind/math_dataset |
b'Let r(m) = 11*m**2 - 6*m + 6. Let l(z) = 12*z**2 - 6*z + 7. Let t(c) = 6*l(c) - 7*r(c). Find the second derivative of t(o) wrt o.\n' | b'-10\n' | b'Let r(m) = 11*m**2 - 6*m + 6. Let l(z) = 12*z**2 - 6*z + 7. Let t(c) = 6*l(c) - 7*r(c). Find the second derivative of t(o) wrt o.\n' | b'-10\n' | deepmind/math_dataset |
b'Let o be ((-28)/3)/(9/(-27)). Suppose 5*x - 3*x = -2*g - 2, -4*x = -4*g - o. Find the third derivative of 0*u**4 + u**4 - x*u**4 + 8*u**2 - 3*u**4 wrt u.\n' | b'-120*u\n' | b'Let o be ((-28)/3)/(9/(-27)). Suppose 5*x - 3*x = -2*g - 2, -4*x = -4*g - o. Find the third derivative of 0*u**4 + u**4 - x*u**4 + 8*u**2 - 3*u**4 wrt u.\n' | b'-120*u\n' | deepmind/math_dataset |
b'Let i = 0 + 2. Find the first derivative of n**2 + 4*n**2 - 4 + 3*n**i - 4*n**2 wrt n.\n' | b'8*n\n' | b'Let i = 0 + 2. Find the first derivative of n**2 + 4*n**2 - 4 + 3*n**i - 4*n**2 wrt n.\n' | b'8*n\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 e and 2 g when three letters picked without replacement from egqpg.\n' | b'1/10\n' | b'Calculate prob of picking 1 e and 2 g when three letters picked without replacement from egqpg.\n' | b'1/10\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 3, b: 2, i: 2, z: 6}. Give prob of picking 2 z and 1 b.\n' | b'15/143\n' | b'Three letters picked without replacement from {f: 3, b: 2, i: 2, z: 6}. Give prob of picking 2 z and 1 b.\n' | b'15/143\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nddnknddnzzdznn. Give prob of sequence nzdd.\n' | b'1/91\n' | b'Four letters picked without replacement from nddnknddnzzdznn. Give prob of sequence nzdd.\n' | b'1/91\n' | deepmind/math_dataset |
b'Let n = -21 + 21. Solve 2*o + 4*t - 6*t - 8 = n, o - 3*t - 8 = 0 for o.\n' | b'2\n' | b'Let n = -21 + 21. Solve 2*o + 4*t - 6*t - 8 = n, o - 3*t - 8 = 0 for o.\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 7, l: 2}. Give prob of sequence lala.\n' | b'1/36\n' | b'Four letters picked without replacement from {a: 7, l: 2}. Give prob of sequence lala.\n' | b'1/36\n' | deepmind/math_dataset |
b'What is prob of picking 1 z and 1 e when two letters picked without replacement from {e: 1, z: 11, n: 5}?\n' | b'11/136\n' | b'What is prob of picking 1 z and 1 e when two letters picked without replacement from {e: 1, z: 11, n: 5}?\n' | b'11/136\n' | deepmind/math_dataset |
b'Suppose 0 = -50*x + 40*x + 80. Let d be ((-6)/x)/(27/(-72)) + -2. Solve d*f + 2*f = -5*k - 31, -k = -3*f - 4 for f.\n' | b'-3\n' | b'Suppose 0 = -50*x + 40*x + 80. Let d be ((-6)/x)/(27/(-72)) + -2. Solve d*f + 2*f = -5*k - 31, -k = -3*f - 4 for f.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -5*o = 4*p - 37, -p - 5*o + 2 = -26. Let r be 111/9 + (-2)/6. Suppose -c + r = p*c. Solve -c*t = -0*t + 6, 2*m + t = -4 for m.\n' | b'-1\n' | b'Suppose -5*o = 4*p - 37, -p - 5*o + 2 = -26. Let r be 111/9 + (-2)/6. Suppose -c + r = p*c. Solve -c*t = -0*t + 6, 2*m + t = -4 for m.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((x**2)**(-7/9)/(x**(-5)/((x/x**(-2/11))/x)))**(-14) assuming x is positive.\n' | b'x**(-5026/99)\n' | b'Simplify ((x**2)**(-7/9)/(x**(-5)/((x/x**(-2/11))/x)))**(-14) assuming x is positive.\n' | b'x**(-5026/99)\n' | deepmind/math_dataset |
b'Simplify (a/(a*a*a**5*a))/a*a**(-2/3)*(a/(((a**(2/23)*a)/a)/a*a*a))/a*a/(a*a**(-2/9))*a assuming a is positive.\n' | b'a**(-1766/207)\n' | b'Simplify (a/(a*a*a**5*a))/a*a**(-2/3)*(a/(((a**(2/23)*a)/a)/a*a*a))/a*a/(a*a**(-2/9))*a assuming a is positive.\n' | b'a**(-1766/207)\n' | deepmind/math_dataset |
b'What is prob of sequence yyo when three letters picked without replacement from {y: 2, g: 2, o: 1, u: 2, e: 1}?\n' | b'1/168\n' | b'What is prob of sequence yyo when three letters picked without replacement from {y: 2, g: 2, o: 1, u: 2, e: 1}?\n' | b'1/168\n' | deepmind/math_dataset |
b'Let r be ((-10)/4)/(4/(-8)). Suppose 2*z - r*y = -1, -6*z + 7*z - 7 = -5*y. Solve -3*f = -5*n - 5, z*n + 7 - 14 = 3*f for f.\n' | b'-5\n' | b'Let r be ((-10)/4)/(4/(-8)). Suppose 2*z - r*y = -1, -6*z + 7*z - 7 = -5*y. Solve -3*f = -5*n - 5, z*n + 7 - 14 = 3*f for f.\n' | b'-5\n' | deepmind/math_dataset |
b'Let z(c) = -6*c + 6*c - 3*c. Let b(n) = n**3 + n - 1. Suppose 3*a - 9 = -0. Let y(o) = a*b(o) + z(o). Differentiate y(w) wrt w.\n' | b'9*w**2\n' | b'Let z(c) = -6*c + 6*c - 3*c. Let b(n) = n**3 + n - 1. Suppose 3*a - 9 = -0. Let y(o) = a*b(o) + z(o). Differentiate y(w) wrt w.\n' | b'9*w**2\n' | deepmind/math_dataset |
b'Let z(b) be the third derivative of 1/60*b**5 + 0*b**3 + 0*b**4 + 0*b - 1/112*b**8 + 0*b**6 + 0*b**7 + 0 + 8*b**2. Find the third derivative of z(h) wrt h.\n' | b'-180*h**2\n' | b'Let z(b) be the third derivative of 1/60*b**5 + 0*b**3 + 0*b**4 + 0*b - 1/112*b**8 + 0*b**6 + 0*b**7 + 0 + 8*b**2. Find the third derivative of z(h) wrt h.\n' | b'-180*h**2\n' | deepmind/math_dataset |
b'Suppose -x = 2, 2*l - 2*x - 14 - 8 = 0. Let p(d) = -2*d**2 + 6 - 3*d**2 + l*d**2 + d**2 + 3*d + d**3 - 11*d**2. What is p(5)?\n' | b'-4\n' | b'Suppose -x = 2, 2*l - 2*x - 14 - 8 = 0. Let p(d) = -2*d**2 + 6 - 3*d**2 + l*d**2 + d**2 + 3*d + d**3 - 11*d**2. What is p(5)?\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j and 1 o when two letters picked without replacement from kknonnnkgkkkknkknjkn.\n' | b'1/190\n' | b'Calculate prob of picking 1 j and 1 o when two letters picked without replacement from kknonnnkgkkkknkknjkn.\n' | b'1/190\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 p and 2 j when three letters picked without replacement from ppjjjjjjjjjppj.\n' | b'45/91\n' | b'Calculate prob of picking 1 p and 2 j when three letters picked without replacement from ppjjjjjjjjjppj.\n' | b'45/91\n' | deepmind/math_dataset |
b'Simplify (t**(-1/2))**(-48) assuming t is positive.\n' | b't**24\n' | b'Simplify (t**(-1/2))**(-48) assuming t is positive.\n' | b't**24\n' | deepmind/math_dataset |
b'Simplify ((t/(t*t*t**0*t))/t)**(1/33)*t**(1/9)*t/(t**(-3/5)/t) assuming t is positive.\n' | b't**(1297/495)\n' | b'Simplify ((t/(t*t*t**0*t))/t)**(1/33)*t**(1/9)*t/(t**(-3/5)/t) assuming t is positive.\n' | b't**(1297/495)\n' | deepmind/math_dataset |
b'What is prob of picking 2 c and 1 a when three letters picked without replacement from {j: 3, v: 2, r: 1, c: 4, a: 4, k: 3}?\n' | b'3/85\n' | b'What is prob of picking 2 c and 1 a when three letters picked without replacement from {j: 3, v: 2, r: 1, c: 4, a: 4, k: 3}?\n' | b'3/85\n' | deepmind/math_dataset |
b'Let s be ((0/1)/(-2))/2. Suppose -17 + 11 = -3*t. Let o(q) = -16 + q + q**2 + 15 - q**t + q**2. What is o(s)?\n' | b'-1\n' | b'Let s be ((0/1)/(-2))/2. Suppose -17 + 11 = -3*t. Let o(q) = -16 + q + q**2 + 15 - q**t + q**2. What is o(s)?\n' | b'-1\n' | deepmind/math_dataset |
b'Let g(r) be the first derivative of 19*r**4/4 + 2*r**3/3 - 3*r**2/2 + 1469. What is g(1)?\n' | b'18\n' | b'Let g(r) be the first derivative of 19*r**4/4 + 2*r**3/3 - 3*r**2/2 + 1469. What is g(1)?\n' | b'18\n' | deepmind/math_dataset |
b'Suppose 0 = -w - w + 10. Suppose -5*g = -f + 14, 3*f + 17 - 5 = -3*g. Let p = w + f. Solve -3*c - c + 24 = p*s, 5*c = 4*s + 12 for c.\n' | b'4\n' | b'Suppose 0 = -w - w + 10. Suppose -5*g = -f + 14, 3*f + 17 - 5 = -3*g. Let p = w + f. Solve -3*c - c + 24 = p*s, 5*c = 4*s + 12 for c.\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 7, a: 1, q: 1}. Give prob of sequence afqf.\n' | b'1/72\n' | b'Four letters picked without replacement from {f: 7, a: 1, q: 1}. Give prob of sequence afqf.\n' | b'1/72\n' | deepmind/math_dataset |
b'Let n(d) = d**3 - 3*d**2 - 4*d - 4. Let l be 0 - -1 - (-210)/10. Suppose -4*j = 6 - l. Determine n(j).\n' | b'-4\n' | b'Let n(d) = d**3 - 3*d**2 - 4*d - 4. Let l be 0 - -1 - (-210)/10. Suppose -4*j = 6 - l. Determine n(j).\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 9}. Give prob of sequence yy.\n' | b'1\n' | b'Two letters picked without replacement from {y: 9}. Give prob of sequence yy.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 1, s: 1, p: 3, q: 2, t: 9, c: 2}. What is prob of picking 2 t?\n' | b'4/17\n' | b'Two letters picked without replacement from {i: 1, s: 1, p: 3, q: 2, t: 9, c: 2}. What is prob of picking 2 t?\n' | b'4/17\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 u and 1 b when four letters picked without replacement from vvuvbbvuvbbbjuu.\n' | b'4/273\n' | b'Calculate prob of picking 3 u and 1 b when four letters picked without replacement from vvuvbbvuvbbbjuu.\n' | b'4/273\n' | deepmind/math_dataset |
b'Let f(m) = 17*m - 10. Let z be f(1). What is the second derivative of -z*g + 5 + 2*g - 96*g**2 + 3*g wrt g?\n' | b'-192\n' | b'Let f(m) = 17*m - 10. Let z be f(1). What is the second derivative of -z*g + 5 + 2*g - 96*g**2 + 3*g wrt g?\n' | b'-192\n' | deepmind/math_dataset |
b'Simplify ((v*v**(2/19)/v)/v)/(v/(v**2/v))*v**(-2/25)/v**(3/8) assuming v is positive.\n' | b'v**(-5129/3800)\n' | b'Simplify ((v*v**(2/19)/v)/v)/(v/(v**2/v))*v**(-2/25)/v**(3/8) assuming v is positive.\n' | b'v**(-5129/3800)\n' | deepmind/math_dataset |
b'Let g(x) be the first derivative of -317*x**7/7 + 116*x**3/3 + 149. What is the third derivative of g(k) wrt k?\n' | b'-38040*k**3\n' | b'Let g(x) be the first derivative of -317*x**7/7 + 116*x**3/3 + 149. What is the third derivative of g(k) wrt k?\n' | b'-38040*k**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence coi when three letters picked without replacement from {i: 1, d: 1, c: 2, o: 1}.\n' | b'1/30\n' | b'Calculate prob of sequence coi when three letters picked without replacement from {i: 1, d: 1, c: 2, o: 1}.\n' | b'1/30\n' | deepmind/math_dataset |
b'Suppose -20 = -2*s + 4*m + 6, -3*m = 11*s - 293. Solve 5*q + 30*z + 20 = 26*z, -5*q - 5*z = s for q.\n' | b'0\n' | b'Suppose -20 = -2*s + 4*m + 6, -3*m = 11*s - 293. Solve 5*q + 30*z + 20 = 26*z, -5*q - 5*z = s for q.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -z = -2*a + 3*z, 2*z = 4*a - 12. Let w(u) = 1. Let p(d) = 3*d - 1 + 3 - 4*d. Let i(b) = a*w(b) - p(b). Differentiate i(f) with respect to f.\n' | b'1\n' | b'Suppose -z = -2*a + 3*z, 2*z = 4*a - 12. Let w(u) = 1. Let p(d) = 3*d - 1 + 3 - 4*d. Let i(b) = a*w(b) - p(b). Differentiate i(f) with respect to f.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((o*o*o*o*o*o**(-2))**5)**(-25)/(((o**(-2)*o)/o)**(-19))**(-22) assuming o is positive.\n' | b'o**461\n' | b'Simplify ((o*o*o*o*o*o**(-2))**5)**(-25)/(((o**(-2)*o)/o)**(-19))**(-22) assuming o is positive.\n' | b'o**461\n' | deepmind/math_dataset |
b'Let a(y) = -2*y**2 - 1 + y**2 + y + 3. Let x be (0 - -2)*(-5)/10*0. Calculate a(x).\n' | b'2\n' | b'Let a(y) = -2*y**2 - 1 + y**2 + y + 3. Let x be (0 - -2)*(-5)/10*0. Calculate a(x).\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 1, s: 2, z: 1}. Give prob of sequence sz.\n' | b'1/6\n' | b'Two letters picked without replacement from {t: 1, s: 2, z: 1}. Give prob of sequence sz.\n' | b'1/6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from kddkdkdkdkddkdkeekk. What is prob of sequence dkk?\n' | b'32/323\n' | b'Three letters picked without replacement from kddkdkdkdkddkdkeekk. What is prob of sequence dkk?\n' | b'32/323\n' | deepmind/math_dataset |
b'Four letters picked without replacement from fddefffffefffdfff. What is prob of sequence eefd?\n' | b'3/2380\n' | b'Four letters picked without replacement from fddefffffefffdfff. What is prob of sequence eefd?\n' | b'3/2380\n' | deepmind/math_dataset |
b'Suppose -25 + 7 = -6*z. Solve 3*u = -2*d - 9, -d + z*u - 2*u + 8 = 0 for d.\n' | b'3\n' | b'Suppose -25 + 7 = -6*z. Solve 3*u = -2*d - 9, -d + z*u - 2*u + 8 = 0 for d.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from knxjxrnrnxxrx. What is prob of sequence xk?\n' | b'5/156\n' | b'Two letters picked without replacement from knxjxrnrnxxrx. What is prob of sequence xk?\n' | b'5/156\n' | deepmind/math_dataset |
b'Suppose g + 2*u = 6, -g = -25*u + 26*u - 5. Solve -4*z = r + g, 4*z = 273*r - 277*r - 16 for z.\n' | b'0\n' | b'Suppose g + 2*u = 6, -g = -25*u + 26*u - 5. Solve -4*z = r + g, 4*z = 273*r - 277*r - 16 for z.\n' | b'0\n' | deepmind/math_dataset |
b'Let f(n) be the second derivative of -n**6/120 - n**5/20 + n**4/24 + n**3/3 - 7*n**2 - 51*n. Let z(o) be the first derivative of f(o). Calculate z(-4).\n' | b'14\n' | b'Let f(n) be the second derivative of -n**6/120 - n**5/20 + n**4/24 + n**3/3 - 7*n**2 - 51*n. Let z(o) be the first derivative of f(o). Calculate z(-4).\n' | b'14\n' | deepmind/math_dataset |
b'Let b = -8426 - -8421. Let c(u) = -11*u**2 - 56*u - 16. Determine c(b).\n' | b'-11\n' | b'Let b = -8426 - -8421. Let c(u) = -11*u**2 - 56*u - 16. Determine c(b).\n' | b'-11\n' | deepmind/math_dataset |
b'Let w(z) = z**3 - z**2 + z + 1. Let n(j) = -36*j**3 - 6*j**2 - 19*j + 5. Let k(r) = n(r) - 5*w(r). What is the third derivative of k(y) wrt y?\n' | b'-246\n' | b'Let w(z) = z**3 - z**2 + z + 1. Let n(j) = -36*j**3 - 6*j**2 - 19*j + 5. Let k(r) = n(r) - 5*w(r). What is the third derivative of k(y) wrt y?\n' | b'-246\n' | deepmind/math_dataset |
b'Simplify ((u**8*u)/((u**10/u)/u)*u*u**(-2/13)*u*u*(u**(7/3)*u)/u)**(1/2) assuming u is positive.\n' | b'u**(241/78)\n' | b'Simplify ((u**8*u)/((u**10/u)/u)*u*u**(-2/13)*u*u*(u**(7/3)*u)/u)**(1/2) assuming u is positive.\n' | b'u**(241/78)\n' | deepmind/math_dataset |
b'What is the third derivative of 1574*z**5 + 326*z**2 - 4*z**4 - 843*z**5 - 891*z**5 + 10*z**4 wrt z?\n' | b'-9600*z**2 + 144*z\n' | b'What is the third derivative of 1574*z**5 + 326*z**2 - 4*z**4 - 843*z**5 - 891*z**5 + 10*z**4 wrt z?\n' | b'-9600*z**2 + 144*z\n' | deepmind/math_dataset |
b'Let b(y) = -12. Let o(s) = 19. Let d(j) = 8*b(j) + 5*o(j). Let l(m) = -3*m - 7. Let p(q) = 6*d(q) - l(q). Calculate p(-1).\n' | b'-2\n' | b'Let b(y) = -12. Let o(s) = 19. Let d(j) = 8*b(j) + 5*o(j). Let l(m) = -3*m - 7. Let p(q) = 6*d(q) - l(q). Calculate p(-1).\n' | b'-2\n' | deepmind/math_dataset |
b'Let g(q) be the third derivative of 5*q**4/24 + 7*q**3 + 2*q**2 - 623. Give g(-6).\n' | b'12\n' | b'Let g(q) be the third derivative of 5*q**4/24 + 7*q**3 + 2*q**2 - 623. Give g(-6).\n' | b'12\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 1, d: 2, u: 2, r: 1, n: 2}. Give prob of picking 1 d and 1 r.\n' | b'1/14\n' | b'Two letters picked without replacement from {m: 1, d: 2, u: 2, r: 1, n: 2}. Give prob of picking 1 d and 1 r.\n' | b'1/14\n' | deepmind/math_dataset |
b'Let h(q) = -5*q - 86. Let d(g) = -3*g - 54. Let s(k) = -8*d(k) + 5*h(k). Give s(-1).\n' | b'3\n' | b'Let h(q) = -5*q - 86. Let d(g) = -3*g - 54. Let s(k) = -8*d(k) + 5*h(k). Give s(-1).\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 w and 1 v when two letters picked without replacement from wvwwvwwvvw.\n' | b'8/15\n' | b'Calculate prob of picking 1 w and 1 v when two letters picked without replacement from wvwwvwwvvw.\n' | b'8/15\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nynknyynynnynynnyyn. What is prob of picking 4 y?\n' | b'35/1938\n' | b'Four letters picked without replacement from nynknyynynnynynnyyn. What is prob of picking 4 y?\n' | b'35/1938\n' | deepmind/math_dataset |
b'Let n be (-16)/6*(-7 + 10). Let r(k) = k**2 + 7*k - 11. Let l be r(n). Let q(m) be the first derivative of -m**2/2 - 3*m + 1. Determine q(l).\n' | b'0\n' | b'Let n be (-16)/6*(-7 + 10). Let r(k) = k**2 + 7*k - 11. Let l be r(n). Let q(m) be the first derivative of -m**2/2 - 3*m + 1. Determine q(l).\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 3*m = -2*s + m - 6, m = s - 7. Solve 4*h = -l - s, 2*h = -6*l + l - 10 for l.\n' | b'-2\n' | b'Suppose 3*m = -2*s + m - 6, m = s - 7. Solve 4*h = -l - s, 2*h = -6*l + l - 10 for l.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (w*w**(-4)/w)/((w/w**(-1/2))/w)*w**(-4/3)*w**(-2/7)/w assuming w is positive.\n' | b'w**(-299/42)\n' | b'Simplify (w*w**(-4)/w)/((w/w**(-1/2))/w)*w**(-4/3)*w**(-2/7)/w assuming w is positive.\n' | b'w**(-299/42)\n' | deepmind/math_dataset |
b'Simplify ((d*d/(d/(d**(-4/5)/d))*d**(-7)/d*d)**21)**(6/11) assuming d is positive.\n' | b'd**(-4914/55)\n' | b'Simplify ((d*d/(d/(d**(-4/5)/d))*d**(-7)/d*d)**21)**(6/11) assuming d is positive.\n' | b'd**(-4914/55)\n' | deepmind/math_dataset |
b'What is prob of sequence ww when two letters picked without replacement from {i: 2, w: 7, f: 3}?\n' | b'7/22\n' | b'What is prob of sequence ww when two letters picked without replacement from {i: 2, w: 7, f: 3}?\n' | b'7/22\n' | deepmind/math_dataset |
b'Simplify ((u**(4/7)/u)/((u/(u*u**(1/4)))/u)*((u/(u**(-12/5)*u*u))/u)/u**(11/3))**(1/35) assuming u is positive.\n' | b'u**(-1027/14700)\n' | b'Simplify ((u**(4/7)/u)/((u/(u*u**(1/4)))/u)*((u/(u**(-12/5)*u*u))/u)/u**(11/3))**(1/35) assuming u is positive.\n' | b'u**(-1027/14700)\n' | deepmind/math_dataset |
b'Simplify (n**(-21)/n**(-26))/(n/(n/(n**(-5/6)*n*n))*n**(-2/7)) assuming n is positive.\n' | b'n**(173/42)\n' | b'Simplify (n**(-21)/n**(-26))/(n/(n/(n**(-5/6)*n*n))*n**(-2/7)) assuming n is positive.\n' | b'n**(173/42)\n' | deepmind/math_dataset |
b'Let o(l) = 502*l**3 + 12*l**2 - 93*l. Let n(j) = -1005*j**3 - 21*j**2 + 187*j. Let i(b) = 4*n(b) + 7*o(b). Find the second derivative of i(d) wrt d.\n' | b'-3036*d\n' | b'Let o(l) = 502*l**3 + 12*l**2 - 93*l. Let n(j) = -1005*j**3 - 21*j**2 + 187*j. Let i(b) = 4*n(b) + 7*o(b). Find the second derivative of i(d) wrt d.\n' | b'-3036*d\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jjpjpppjjjpjp. Give prob of sequence jp.\n' | b'7/26\n' | b'Two letters picked without replacement from jjpjpppjjjpjp. Give prob of sequence jp.\n' | b'7/26\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 3, q: 3, m: 1, d: 2, h: 1, v: 3}. What is prob of picking 1 h, 2 z, and 1 d?\n' | b'6/715\n' | b'Four letters picked without replacement from {z: 3, q: 3, m: 1, d: 2, h: 1, v: 3}. What is prob of picking 1 h, 2 z, and 1 d?\n' | b'6/715\n' | deepmind/math_dataset |
b'Suppose -2*p + 6*x = x - 7, 5*x + 9 = 4*p. Let l(k) = 3*k**3 - 2*k**2 - k + 2. Let f be l(p). Solve -7 = -3*c - f*d - 24, -4*c + 4*d = 16 for c.\n' | b'-5\n' | b'Suppose -2*p + 6*x = x - 7, 5*x + 9 = 4*p. Let l(k) = 3*k**3 - 2*k**2 - k + 2. Let f be l(p). Solve -7 = -3*c - f*d - 24, -4*c + 4*d = 16 for c.\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 2, b: 5}. Give prob of sequence nn.\n' | b'1/21\n' | b'Two letters picked without replacement from {n: 2, b: 5}. Give prob of sequence nn.\n' | b'1/21\n' | deepmind/math_dataset |
b'Let l(m) = -9*m + 11*m**2 + 241*m**3 - 39 + 52 - 240*m**3. Give l(-12).\n' | b'-23\n' | b'Let l(m) = -9*m + 11*m**2 + 241*m**3 - 39 + 52 - 240*m**3. Give l(-12).\n' | b'-23\n' | deepmind/math_dataset |
b'Suppose -17*h + 21*h - 16 = 0. Suppose -h = -l - l. Solve t - 2 = -l*n, -3 = -2*n - 3*t - 5 for n.\n' | b'2\n' | b'Suppose -17*h + 21*h - 16 = 0. Suppose -h = -l - l. Solve t - 2 = -l*n, -3 = -2*n - 3*t - 5 for n.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 4, i: 9, a: 1}. What is prob of picking 1 h and 1 a?\n' | b'4/91\n' | b'Two letters picked without replacement from {h: 4, i: 9, a: 1}. What is prob of picking 1 h and 1 a?\n' | b'4/91\n' | deepmind/math_dataset |
b'Suppose 12*o - 220 = 260. Let k be o/(-12)*(5/10 + 1). Let s(h) = 0*h - 3*h + 1 + 2*h. Give s(k).\n' | b'6\n' | b'Suppose 12*o - 220 = 260. Let k be o/(-12)*(5/10 + 1). Let s(h) = 0*h - 3*h + 1 + 2*h. Give s(k).\n' | b'6\n' | deepmind/math_dataset |
b'Suppose -9 - 33 = -3*o. Suppose -2*a + 0 + o = 0. Solve 0*f - 3*c + 11 = f, -3*f + c - a = 0 for f.\n' | b'-1\n' | b'Suppose -9 - 33 = -3*o. Suppose -2*a + 0 + o = 0. Solve 0*f - 3*c + 11 = f, -3*f + c - a = 0 for f.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence kkdq when four letters picked without replacement from qqqqqkdkkqdkkqkqkd.\n' | b'7/510\n' | b'Calculate prob of sequence kkdq when four letters picked without replacement from qqqqqkdkkqdkkqkqkd.\n' | b'7/510\n' | deepmind/math_dataset |
b'Let m(k) be the second derivative of -911*k**4/12 + 727*k**3/2 + 309*k - 1. What is the second derivative of m(u) wrt u?\n' | b'-1822\n' | b'Let m(k) be the second derivative of -911*k**4/12 + 727*k**3/2 + 309*k - 1. What is the second derivative of m(u) wrt u?\n' | b'-1822\n' | deepmind/math_dataset |
b'Simplify ((y**(5/2)*y**(1/4))/(y**7*y**(-3/4)))**26 assuming y is positive.\n' | b'y**(-91)\n' | b'Simplify ((y**(5/2)*y**(1/4))/(y**7*y**(-3/4)))**26 assuming y is positive.\n' | b'y**(-91)\n' | deepmind/math_dataset |
b'Let n be (-12)/5 - 4/(-10). Let h(k) be the first derivative of k**4/2 - 3*k**2/2 - k + 846. What is h(n)?\n' | b'-11\n' | b'Let n be (-12)/5 - 4/(-10). Let h(k) be the first derivative of k**4/2 - 3*k**2/2 - k + 846. What is h(n)?\n' | b'-11\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 1, g: 1, c: 2, e: 1, o: 1, q: 2}. Give prob of sequence reqe.\n' | b'0\n' | b'Four letters picked without replacement from {r: 1, g: 1, c: 2, e: 1, o: 1, q: 2}. Give prob of sequence reqe.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vvvv. What is prob of sequence vv?\n' | b'1\n' | b'Two letters picked without replacement from vvvv. What is prob of sequence vv?\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence st when two letters picked without replacement from zttsststt?\n' | b'5/24\n' | b'What is prob of sequence st when two letters picked without replacement from zttsststt?\n' | b'5/24\n' | deepmind/math_dataset |
b'Let p(v) = -9*v + 9. Let c(s) = s**2 + s. Let x(j) = -18*c(j) - 2*p(j). What is the derivative of x(k) wrt k?\n' | b'-36*k\n' | b'Let p(v) = -9*v + 9. Let c(s) = s**2 + s. Let x(j) = -18*c(j) - 2*p(j). What is the derivative of x(k) wrt k?\n' | b'-36*k\n' | deepmind/math_dataset |
b'Simplify (w**(-2/5)*w)**(-35)/(w*w**(1/3)*w*w/(w*w**(-6)*w))*(w**(-4)*w/w**(-3/5))/(w*w*w/(w*w**2)*w*w**1) assuming w is positive.\n' | b'w**(-491/15)\n' | b'Simplify (w**(-2/5)*w)**(-35)/(w*w**(1/3)*w*w/(w*w**(-6)*w))*(w**(-4)*w/w**(-3/5))/(w*w*w/(w*w**2)*w*w**1) assuming w is positive.\n' | b'w**(-491/15)\n' | deepmind/math_dataset |
b'Simplify (k**22/k*k**(-40/9))/(k*(k**(-2/87)/k)/k*k**(-1/27)) assuming k is positive.\n' | b'k**(13793/783)\n' | b'Simplify (k**22/k*k**(-40/9))/(k*(k**(-2/87)/k)/k*k**(-1/27)) assuming k is positive.\n' | b'k**(13793/783)\n' | deepmind/math_dataset |
b'Let r(n) be the third derivative of -n**6/120 + n**5/6 - 11*n**4/24 + 4*n**3/3 + 134*n**2 - n. Give r(9).\n' | b'-10\n' | b'Let r(n) be the third derivative of -n**6/120 + n**5/6 - 11*n**4/24 + 4*n**3/3 + 134*n**2 - n. Give r(9).\n' | b'-10\n' | deepmind/math_dataset |
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