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'Suppose 15 = -10*y + 65. Suppose z = 3*r + 9 + 4, -3*z + 23 = -y*r. Solve 3*g - z - 5 = 5*v, g = -4*v - 15 for g.\n' | b'-3\n' | b'Suppose 15 = -10*y + 65. Suppose z = 3*r + 9 + 4, -3*z + 23 = -y*r. Solve 3*g - z - 5 = 5*v, g = -4*v - 15 for g.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence ddma when four letters picked without replacement from {t: 1, u: 3, m: 1, a: 1, d: 5}?\n' | b'1/396\n' | b'What is prob of sequence ddma when four letters picked without replacement from {t: 1, u: 3, m: 1, a: 1, d: 5}?\n' | b'1/396\n' | deepmind/math_dataset |
b'Suppose 3*v - 6*v + 60 = 0. What is the derivative of -5*s**3 - 3 - 29 + 11 - 2*s - v wrt s?\n' | b'-15*s**2 - 2\n' | b'Suppose 3*v - 6*v + 60 = 0. What is the derivative of -5*s**3 - 3 - 29 + 11 - 2*s - v wrt s?\n' | b'-15*s**2 - 2\n' | deepmind/math_dataset |
b'Let m(p) = -p**3 + 9*p**2 - 8*p + 2. Let d be m(8). Let k be (-7 - -1)*(-2)/2. Solve 0*u + 2*u - d = -4*n, -2*u = -k for n.\n' | b'-1\n' | b'Let m(p) = -p**3 + 9*p**2 - 8*p + 2. Let d be m(8). Let k be (-7 - -1)*(-2)/2. Solve 0*u + 2*u - d = -4*n, -2*u = -k for n.\n' | b'-1\n' | deepmind/math_dataset |
b'Let o be 22/(-6) - 4/12. Let f be (-1 + 0)/(o/16). What is the first derivative of -2*c**f + 4 + 1 - 4 wrt c?\n' | b'-8*c**3\n' | b'Let o be 22/(-6) - 4/12. Let f be (-1 + 0)/(o/16). What is the first derivative of -2*c**f + 4 + 1 - 4 wrt c?\n' | b'-8*c**3\n' | deepmind/math_dataset |
b'Let b(f) be the third derivative of -41*f**5/30 - 503*f**4/12 + f**3/3 + 1017*f**2. What is the second derivative of b(n) wrt n?\n' | b'-164\n' | b'Let b(f) be the third derivative of -41*f**5/30 - 503*f**4/12 + f**3/3 + 1017*f**2. What is the second derivative of b(n) wrt n?\n' | b'-164\n' | deepmind/math_dataset |
b'What is the derivative of -8*l + 127 - 27*l + 306 - 26*l wrt l?\n' | b'-61\n' | b'What is the derivative of -8*l + 127 - 27*l + 306 - 26*l wrt l?\n' | b'-61\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xfffbbfbbbfffbffffb. Give prob of picking 1 f, 1 x, and 1 b.\n' | b'77/969\n' | b'Three letters picked without replacement from xfffbbfbbbfffbffffb. Give prob of picking 1 f, 1 x, and 1 b.\n' | b'77/969\n' | deepmind/math_dataset |
b'Let n(u) = -u**3 + 4*u**2 - 2. Let r be n(4). Let h = 2 - r. Solve -2*s - 9 = -w, -4*s - 14 = h*w + 10 for w.\n' | b'-1\n' | b'Let n(u) = -u**3 + 4*u**2 - 2. Let r be n(4). Let h = 2 - r. Solve -2*s - 9 = -w, -4*s - 14 = h*w + 10 for w.\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 4, n: 2, l: 3, t: 2}. Give prob of picking 1 n and 2 l.\n' | b'2/55\n' | b'Three letters picked without replacement from {k: 4, n: 2, l: 3, t: 2}. Give prob of picking 1 n and 2 l.\n' | b'2/55\n' | deepmind/math_dataset |
b'Let l(k) = 6*k + 5. Let t be l(0). Suppose u = 5*m - 1, 4*m + 0*u = -t*u - 5. Solve 5*q + 2*s = 8, q = -m*s + s - 4 for q.\n' | b'0\n' | b'Let l(k) = 6*k + 5. Let t be l(0). Suppose u = 5*m - 1, 4*m + 0*u = -t*u - 5. Solve 5*q + 2*s = 8, q = -m*s + s - 4 for q.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (t**1*t**(-2/3))/(t**(1/2)*t)**9*((t*t**(1/2)/t)/(t*t/(t/(t*t**2))*t))/((t*t**0/t*t)/t**(-7)) assuming t is positive.\n' | b't**(-77/3)\n' | b'Simplify (t**1*t**(-2/3))/(t**(1/2)*t)**9*((t*t**(1/2)/t)/(t*t/(t/(t*t**2))*t))/((t*t**0/t*t)/t**(-7)) assuming t is positive.\n' | b't**(-77/3)\n' | deepmind/math_dataset |
b'What is prob of picking 1 g and 2 x when three letters picked without replacement from {g: 7, f: 1, x: 6}?\n' | b'15/52\n' | b'What is prob of picking 1 g and 2 x when three letters picked without replacement from {g: 7, f: 1, x: 6}?\n' | b'15/52\n' | deepmind/math_dataset |
b'Suppose -145 = -5*x - 2*w, x - 6 = 4*w + 1. Suppose 2*a - 4*o = 5*a + 29, -3*o = 4*a + x. Let b(m) = m**2 - 2. What is b(a)?\n' | b'7\n' | b'Suppose -145 = -5*x - 2*w, x - 6 = 4*w + 1. Suppose 2*a - 4*o = 5*a + 29, -3*o = 4*a + x. Let b(m) = m**2 - 2. What is b(a)?\n' | b'7\n' | deepmind/math_dataset |
b'What is prob of sequence nn when two letters picked without replacement from {n: 5}?\n' | b'1\n' | b'What is prob of sequence nn when two letters picked without replacement from {n: 5}?\n' | b'1\n' | deepmind/math_dataset |
b'Let w(y) = y**2 - 11*y + 6. Let u(c) = 3*c. Let q(p) = 5*u(p) + w(p). Let d(r) = -r**3 + 7*r**2 + 1. Let j be d(7). Let i be (-2)/(j*2/4). Determine q(i).\n' | b'6\n' | b'Let w(y) = y**2 - 11*y + 6. Let u(c) = 3*c. Let q(p) = 5*u(p) + w(p). Let d(r) = -r**3 + 7*r**2 + 1. Let j be d(7). Let i be (-2)/(j*2/4). Determine q(i).\n' | b'6\n' | deepmind/math_dataset |
b'Let w = 3 - 4. Let z be ((-3)/w)/1 + -3. Let d(a) = -a + 1 + a**2 + 0*a**2 - 2 - a**3. Give d(z).\n' | b'-1\n' | b'Let w = 3 - 4. Let z be ((-3)/w)/1 + -3. Let d(a) = -a + 1 + a**2 + 0*a**2 - 2 - a**3. Give d(z).\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence kk when two letters picked without replacement from kkkkaa.\n' | b'2/5\n' | b'Calculate prob of sequence kk when two letters picked without replacement from kkkkaa.\n' | b'2/5\n' | deepmind/math_dataset |
b'Simplify (r/(r/(r/r**(3/22)))*r/r**(-19))**43 assuming r is positive.\n' | b'r**(19737/22)\n' | b'Simplify (r/(r/(r/r**(3/22)))*r/r**(-19))**43 assuming r is positive.\n' | b'r**(19737/22)\n' | deepmind/math_dataset |
b'Suppose 2*a + 2*a = 24. Suppose a*v - v + 20 = 0. Let p(m) = -8*m + 436. Let g(t) = -9*t + 524. Let j(r) = 5*g(r) - 6*p(r). Calculate j(v).\n' | b'-8\n' | b'Suppose 2*a + 2*a = 24. Suppose a*v - v + 20 = 0. Let p(m) = -8*m + 436. Let g(t) = -9*t + 524. Let j(r) = 5*g(r) - 6*p(r). Calculate j(v).\n' | b'-8\n' | deepmind/math_dataset |
b'Let k(a) = -a**3 - 2*a + 4. Let m be k(-3). Let o(t) = 19*t**2 - t. Let q = -7 - -8. Let u be o(q). Solve 4*s = 5*y + m, 3*y + u = 2*s - s for s.\n' | b'3\n' | b'Let k(a) = -a**3 - 2*a + 4. Let m be k(-3). Let o(t) = 19*t**2 - t. Let q = -7 - -8. Let u be o(q). Solve 4*s = 5*y + m, 3*y + u = 2*s - s for s.\n' | b'3\n' | deepmind/math_dataset |
b'Let h(d) = -342 - d + 2*d + 372. Suppose 7*i - 53 = 52. Suppose 5*k - i = -z, -3*z + 3 = 2*z + k. Determine h(z).\n' | b'30\n' | b'Let h(d) = -342 - d + 2*d + 372. Suppose 7*i - 53 = 52. Suppose 5*k - i = -z, -3*z + 3 = 2*z + k. Determine h(z).\n' | b'30\n' | deepmind/math_dataset |
b'Let t(k) be the third derivative of 1097*k**6/120 - k**5/60 + 295*k**4/24 - k**3/6 - k**2 - 3746. What is the third derivative of t(b) wrt b?\n' | b'6582\n' | b'Let t(k) be the third derivative of 1097*k**6/120 - k**5/60 + 295*k**4/24 - k**3/6 - k**2 - 3746. What is the third derivative of t(b) wrt b?\n' | b'6582\n' | deepmind/math_dataset |
b'Let w(f) = f - 6. Let d be w(16). Let a be 2/6 + (-40)/(-6). Let j = d - a. Solve 3*c - j*n + 11 = -4*n, -c = n + 5 for c.\n' | b'-3\n' | b'Let w(f) = f - 6. Let d be w(16). Let a be 2/6 + (-40)/(-6). Let j = d - a. Solve 3*c - j*n + 11 = -4*n, -c = n + 5 for c.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 5, z: 1, i: 12}. Give prob of sequence zi.\n' | b'2/51\n' | b'Two letters picked without replacement from {w: 5, z: 1, i: 12}. Give prob of sequence zi.\n' | b'2/51\n' | deepmind/math_dataset |
b'What is prob of sequence ha when two letters picked without replacement from hah?\n' | b'1/3\n' | b'What is prob of sequence ha when two letters picked without replacement from hah?\n' | b'1/3\n' | deepmind/math_dataset |
b'What is prob of picking 1 m and 1 n when two letters picked without replacement from dhhnhdmdddnd?\n' | b'1/33\n' | b'What is prob of picking 1 m and 1 n when two letters picked without replacement from dhhnhdmdddnd?\n' | b'1/33\n' | deepmind/math_dataset |
b'Let w(u) = 6*u - 33. Let k(a) = 3*a - 16. Let d(l) = -7*k(l) + 3*w(l). Determine d(7).\n' | b'-8\n' | b'Let w(u) = 6*u - 33. Let k(a) = 3*a - 16. Let d(l) = -7*k(l) + 3*w(l). Determine d(7).\n' | b'-8\n' | deepmind/math_dataset |
b'Simplify (((i*i**(1/15)/i)/i)/i*i**(4/13))/(i/((i*i**(-8))/i*i))**20 assuming i is positive.\n' | b'i**(-31517/195)\n' | b'Simplify (((i*i**(1/15)/i)/i)/i*i**(4/13))/(i/((i*i**(-8))/i*i))**20 assuming i is positive.\n' | b'i**(-31517/195)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 1, j: 1, x: 5, v: 5, f: 8}. What is prob of picking 1 v and 1 f?\n' | b'4/19\n' | b'Two letters picked without replacement from {i: 1, j: 1, x: 5, v: 5, f: 8}. What is prob of picking 1 v and 1 f?\n' | b'4/19\n' | deepmind/math_dataset |
b'Let w = 2 - 2. Let k be 3/9*w/2. Suppose 0 = -k*f + 4*f - 60. Solve q - 3*c = -16, 4*q = -4*c + 1 + f for q.\n' | b'-1\n' | b'Let w = 2 - 2. Let k be 3/9*w/2. Suppose 0 = -k*f + 4*f - 60. Solve q - 3*c = -16, 4*q = -4*c + 1 + f for q.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose 16*f = 11*f + 220. Suppose 3*d + 11 = f. Let g be -2*d/(-6) + 8/(-12). Solve 3*u - g*i + 1 = 4, 5*i = -10 for u.\n' | b'-1\n' | b'Suppose 16*f = 11*f + 220. Suppose 3*d + 11 = f. Let g be -2*d/(-6) + 8/(-12). Solve 3*u - g*i + 1 = 4, 5*i = -10 for u.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (u/(u/u**(2/5)*u))**(-1/21)*(u**0)**(-6/11) assuming u is positive.\n' | b'u**(1/35)\n' | b'Simplify (u/(u/u**(2/5)*u))**(-1/21)*(u**0)**(-6/11) assuming u is positive.\n' | b'u**(1/35)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 12, u: 1, v: 5}. What is prob of sequence pu?\n' | b'2/51\n' | b'Two letters picked without replacement from {p: 12, u: 1, v: 5}. What is prob of sequence pu?\n' | b'2/51\n' | deepmind/math_dataset |
b'Simplify (((m/m**(2/7))/m)/(m*m*(m**(1/3)/m)/m))**(-3/10) assuming m is positive.\n' | b'm**(13/70)\n' | b'Simplify (((m/m**(2/7))/m)/(m*m*(m**(1/3)/m)/m))**(-3/10) assuming m is positive.\n' | b'm**(13/70)\n' | deepmind/math_dataset |
b'Calculate prob of sequence sm when two letters picked without replacement from myayyssyyfyfsssys.\n' | b'3/136\n' | b'Calculate prob of sequence sm when two letters picked without replacement from myayyssyyfyfsssys.\n' | b'3/136\n' | deepmind/math_dataset |
b'Let r be 2/(-12) + 25/6. Let u = r + -8. Let i(t) = t**3 + 5*t**2 + 5*t + 6. Calculate i(u).\n' | b'2\n' | b'Let r be 2/(-12) + 25/6. Let u = r + -8. Let i(t) = t**3 + 5*t**2 + 5*t + 6. Calculate i(u).\n' | b'2\n' | deepmind/math_dataset |
b'Let b(v) = 197*v**2 + 9*v. Let d(y) = -197*y**2 - 12*y. Let t(a) = 6*b(a) + 5*d(a). What is the second derivative of t(u) wrt u?\n' | b'394\n' | b'Let b(v) = 197*v**2 + 9*v. Let d(y) = -197*y**2 - 12*y. Let t(a) = 6*b(a) + 5*d(a). What is the second derivative of t(u) wrt u?\n' | b'394\n' | deepmind/math_dataset |
b'Let k(d) be the second derivative of d**6/15 + d**4/12 - 19*d**3/3 - d**2 + 2*d - 57. Find the second derivative of k(z) wrt z.\n' | b'24*z**2 + 2\n' | b'Let k(d) be the second derivative of d**6/15 + d**4/12 - 19*d**3/3 - d**2 + 2*d - 57. Find the second derivative of k(z) wrt z.\n' | b'24*z**2 + 2\n' | deepmind/math_dataset |
b'Let n(r) = 2*r**3 + 4*r**2 - r + 1. Suppose -5*j = -2*v + 6, -j + 5*v + 6 + 2 = 0. Let t be (2 + 1)/(-3) + j. What is n(t)?\n' | b'-14\n' | b'Let n(r) = 2*r**3 + 4*r**2 - r + 1. Suppose -5*j = -2*v + 6, -j + 5*v + 6 + 2 = 0. Let t be (2 + 1)/(-3) + j. What is n(t)?\n' | b'-14\n' | deepmind/math_dataset |
b'Let f be 0/(-3)*(-4 - -5). Solve f = 5*h + 15, h = 5*t + 2*h + 23 for t.\n' | b'-4\n' | b'Let f be 0/(-3)*(-4 - -5). Solve f = 5*h + 15, h = 5*t + 2*h + 23 for t.\n' | b'-4\n' | deepmind/math_dataset |
b'Let r(x) = -5*x**3 + 6*x**2 + x + 6. Let s(i) = 6*i**3 - 7*i**2 + i - 7. Let d(z) = -5*r(z) - 4*s(z). Calculate d(4).\n' | b'-6\n' | b'Let r(x) = -5*x**3 + 6*x**2 + x + 6. Let s(i) = 6*i**3 - 7*i**2 + i - 7. Let d(z) = -5*r(z) - 4*s(z). Calculate d(4).\n' | b'-6\n' | deepmind/math_dataset |
b'What is the second derivative of 31*w + 0 - 5 + 789*w**2 - 2 + 1 + 5 wrt w?\n' | b'1578\n' | b'What is the second derivative of 31*w + 0 - 5 + 789*w**2 - 2 + 1 + 5 wrt w?\n' | b'1578\n' | deepmind/math_dataset |
b'Let g = -512 + 517. Let v(w) = 6*w - 4. Calculate v(g).\n' | b'26\n' | b'Let g = -512 + 517. Let v(w) = 6*w - 4. Calculate v(g).\n' | b'26\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 g, 1 w, and 1 y when three letters picked without replacement from {g: 1, a: 1, y: 2, w: 4, b: 1}.\n' | b'2/21\n' | b'Calculate prob of picking 1 g, 1 w, and 1 y when three letters picked without replacement from {g: 1, a: 1, y: 2, w: 4, b: 1}.\n' | b'2/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 8, q: 5, u: 2, e: 2, a: 1}. Give prob of sequence ua.\n' | b'1/153\n' | b'Two letters picked without replacement from {w: 8, q: 5, u: 2, e: 2, a: 1}. Give prob of sequence ua.\n' | b'1/153\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 2, p: 1, a: 2, d: 1, z: 2, t: 1}. Give prob of sequence zzf.\n' | b'1/126\n' | b'Three letters picked without replacement from {f: 2, p: 1, a: 2, d: 1, z: 2, t: 1}. Give prob of sequence zzf.\n' | b'1/126\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {z: 8, p: 9, u: 1, f: 1}. What is prob of sequence pfu?\n' | b'1/646\n' | b'Three letters picked without replacement from {z: 8, p: 9, u: 1, f: 1}. What is prob of sequence pfu?\n' | b'1/646\n' | deepmind/math_dataset |
b'Let b = -12 - -17. Solve 2*u - 7*u - 30 = b*h, h = -3*u - 14 for h.\n' | b'-2\n' | b'Let b = -12 - -17. Solve 2*u - 7*u - 30 = b*h, h = -3*u - 14 for h.\n' | b'-2\n' | deepmind/math_dataset |
b'What is the second derivative of 12*f - 22*f**2 + 10*f + f wrt f?\n' | b'-44\n' | b'What is the second derivative of 12*f - 22*f**2 + 10*f + f wrt f?\n' | b'-44\n' | deepmind/math_dataset |
b'What is prob of sequence yyzz when four letters picked without replacement from {y: 2, z: 3}?\n' | b'1/10\n' | b'What is prob of sequence yyzz when four letters picked without replacement from {y: 2, z: 3}?\n' | b'1/10\n' | deepmind/math_dataset |
b'Suppose -4*p - 3 - 5 = 0. Let s be (0 - -1)*(1 - p). Suppose 14 = 3*n - s*g - g, -4*n - 3*g + 2 = 0. Solve -2 = -n*y - 5*b + 4, -6 = -2*y - 3*b for y.\n' | b'3\n' | b'Suppose -4*p - 3 - 5 = 0. Let s be (0 - -1)*(1 - p). Suppose 14 = 3*n - s*g - g, -4*n - 3*g + 2 = 0. Solve -2 = -n*y - 5*b + 4, -6 = -2*y - 3*b for y.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 a when three letters picked without replacement from ndjnljajna.\n' | b'0\n' | b'Calculate prob of picking 3 a when three letters picked without replacement from ndjnljajna.\n' | b'0\n' | deepmind/math_dataset |
b'Let d(n) be the third derivative of 0*n - 1/2*n**3 + 5*n**2 - 1/12*n**4 + 0. Calculate d(-4).\n' | b'5\n' | b'Let d(n) be the third derivative of 0*n - 1/2*n**3 + 5*n**2 - 1/12*n**4 + 0. Calculate d(-4).\n' | b'5\n' | deepmind/math_dataset |
b'Find the second derivative of -162*o + 7*o**4 - 4*o**4 + 2*o**4 - 6*o**2 - 4*o**4 wrt o.\n' | b'12*o**2 - 12\n' | b'Find the second derivative of -162*o + 7*o**4 - 4*o**4 + 2*o**4 - 6*o**2 - 4*o**4 wrt o.\n' | b'12*o**2 - 12\n' | deepmind/math_dataset |
b'Let c be 54/45*190/4. Let q = c + -56. Solve -x - q = -2*g + 5, -g + 2 = -x for x.\n' | b'2\n' | b'Let c be 54/45*190/4. Let q = c + -56. Solve -x - q = -2*g + 5, -g + 2 = -x for x.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (m**(-2/5)*m**(2/3)/m*m**(-5)*m**(5/2))**(10/7) assuming m is positive.\n' | b'm**(-97/21)\n' | b'Simplify (m**(-2/5)*m**(2/3)/m*m**(-5)*m**(5/2))**(10/7) assuming m is positive.\n' | b'm**(-97/21)\n' | deepmind/math_dataset |
b'Let r(d) be the second derivative of 6*d - 1/2*d**3 + 0 + 0*d**4 + 0*d**2 + 0*d**5 + 0*d**6 - 1/6*d**7. What is the second derivative of r(k) wrt k?\n' | b'-140*k**3\n' | b'Let r(d) be the second derivative of 6*d - 1/2*d**3 + 0 + 0*d**4 + 0*d**2 + 0*d**5 + 0*d**6 - 1/6*d**7. What is the second derivative of r(k) wrt k?\n' | b'-140*k**3\n' | deepmind/math_dataset |
b'Let r(y) = -y**3 - 18*y**2 + 87*y - 20. Let j be r(-22). Solve -9 = -9*o + 4*o + 4*m, -j*m - 5 = -3*o for o.\n' | b'1\n' | b'Let r(y) = -y**3 - 18*y**2 + 87*y - 20. Let j be r(-22). Solve -9 = -9*o + 4*o + 4*m, -j*m - 5 = -3*o for o.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -4*h = -5*h - 6. Let l be (3 + (-28)/8)*h. Solve 0 = 5*q + 2*f + l - 12, q + 2*f + 3 = 0 for q.\n' | b'3\n' | b'Suppose -4*h = -5*h - 6. Let l be (3 + (-28)/8)*h. Solve 0 = 5*q + 2*f + l - 12, q + 2*f + 3 = 0 for q.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (b/b**(1/4)*b*b/b**2*b**(-4)/(b*b*(((b**(3/2)*b)/b)/b*b)/b*b))**42 assuming b is positive.\n' | b'b**(-567/2)\n' | b'Simplify (b/b**(1/4)*b*b/b**2*b**(-4)/(b*b*(((b**(3/2)*b)/b)/b*b)/b*b))**42 assuming b is positive.\n' | b'b**(-567/2)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from bbttebtt. Give prob of picking 2 b and 2 t.\n' | b'9/35\n' | b'Four letters picked without replacement from bbttebtt. Give prob of picking 2 b and 2 t.\n' | b'9/35\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ujjfjgfofgfjgffffjun. What is prob of picking 1 n, 1 g, and 1 o?\n' | b'1/380\n' | b'Three letters picked without replacement from ujjfjgfofgfjgffffjun. What is prob of picking 1 n, 1 g, and 1 o?\n' | b'1/380\n' | deepmind/math_dataset |
b'Let p(x) be the first derivative of 5*x**7/7 - 2*x**5/5 - 12*x**3 + 19. What is the third derivative of p(z) wrt z?\n' | b'600*z**3 - 48*z\n' | b'Let p(x) be the first derivative of 5*x**7/7 - 2*x**5/5 - 12*x**3 + 19. What is the third derivative of p(z) wrt z?\n' | b'600*z**3 - 48*z\n' | deepmind/math_dataset |
b'Suppose -d = -0 - 1. Let n(y) = y + 1. Let a be n(d). Let t be (-2)/(-1)*4/2. Solve -q - q - 4*p = 6, -a*p - 18 = -t*q for q.\n' | b'3\n' | b'Suppose -d = -0 - 1. Let n(y) = y + 1. Let a be n(d). Let t be (-2)/(-1)*4/2. Solve -q - q - 4*p = 6, -a*p - 18 = -t*q for q.\n' | b'3\n' | deepmind/math_dataset |
b'Let c(g) be the second derivative of g**4/12 + g**3/3 - g**2/2 + 3*g + 10. Suppose 1 = -k - 1. What is c(k)?\n' | b'-1\n' | b'Let c(g) be the second derivative of g**4/12 + g**3/3 - g**2/2 + 3*g + 10. Suppose 1 = -k - 1. What is c(k)?\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((i**24*i)/i)/i**18 assuming i is positive.\n' | b'i**6\n' | b'Simplify ((i**24*i)/i)/i**18 assuming i is positive.\n' | b'i**6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {c: 3, u: 4}. Give prob of picking 1 c and 3 u.\n' | b'12/35\n' | b'Four letters picked without replacement from {c: 3, u: 4}. Give prob of picking 1 c and 3 u.\n' | b'12/35\n' | deepmind/math_dataset |
b'Let s(b) = 6*b + 1. Let y be s(1). Let z(j) = -70*j**3 - 2*j**2 + j. Let v be z(1). Let h = v + 74. Solve -4*r + y*r = -3*m + 9, -3 = h*r for m.\n' | b'4\n' | b'Let s(b) = 6*b + 1. Let y be s(1). Let z(j) = -70*j**3 - 2*j**2 + j. Let v be z(1). Let h = v + 74. Solve -4*r + y*r = -3*m + 9, -3 = h*r for m.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 9, k: 2, n: 3, v: 1, y: 1, r: 3}. Give prob of picking 1 l and 1 y.\n' | b'1/19\n' | b'Two letters picked without replacement from {l: 9, k: 2, n: 3, v: 1, y: 1, r: 3}. Give prob of picking 1 l and 1 y.\n' | b'1/19\n' | deepmind/math_dataset |
b'Let l be (-5)/10*-6 - (0 - -3). Let z(r) = 3*r - 8*r + l*r + 1. Suppose -5*m = -3*w + 16 + 5, 0 = 4*m + 12. What is z(w)?\n' | b'-9\n' | b'Let l be (-5)/10*-6 - (0 - -3). Let z(r) = 3*r - 8*r + l*r + 1. Suppose -5*m = -3*w + 16 + 5, 0 = 4*m + 12. What is z(w)?\n' | b'-9\n' | deepmind/math_dataset |
b'Suppose 0 = 2*h - 50*h + 11*h + 2257. Suppose 0 = -s + 2*p - p - 62, 2*s - 3*p = -127. Let z = s + h. Solve -6*o = -2*o - z*n - 24, -4*o + 12 = 4*n for o.\n' | b'5\n' | b'Suppose 0 = 2*h - 50*h + 11*h + 2257. Suppose 0 = -s + 2*p - p - 62, 2*s - 3*p = -127. Let z = s + h. Solve -6*o = -2*o - z*n - 24, -4*o + 12 = 4*n for o.\n' | b'5\n' | deepmind/math_dataset |
b'Let j(b) = -4*b. Let g be j(-1). Find the first derivative of -12 + 3*t**g + 4 + 5*t**4 wrt t.\n' | b'32*t**3\n' | b'Let j(b) = -4*b. Let g be j(-1). Find the first derivative of -12 + 3*t**g + 4 + 5*t**4 wrt t.\n' | b'32*t**3\n' | deepmind/math_dataset |
b'Suppose 2*g + 0*v - 10 = 2*v, -3*g + 4*v = -10. Suppose -16 = -g*x - 56. Let l(s) = -s**2 - 6*s. What is l(x)?\n' | b'8\n' | b'Suppose 2*g + 0*v - 10 = 2*v, -3*g + 4*v = -10. Suppose -16 = -g*x - 56. Let l(s) = -s**2 - 6*s. What is l(x)?\n' | b'8\n' | deepmind/math_dataset |
b'Suppose 2*z = -z - j + 16, 3*z + 4*j = 19. Suppose z*k - 12 = 8. Solve a + 4*t - k = 3*a, -5*t - 9 = a for a.\n' | b'-4\n' | b'Suppose 2*z = -z - j + 16, 3*z + 4*j = 19. Suppose z*k - 12 = 8. Solve a + 4*t - k = 3*a, -5*t - 9 = a for a.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((g/g**(-4/23))/g)/g*g**(-8/9)/g*g assuming g is positive.\n' | b'g**(-355/207)\n' | b'Simplify ((g/g**(-4/23))/g)/g*g**(-8/9)/g*g assuming g is positive.\n' | b'g**(-355/207)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {b: 4, j: 1, t: 3, g: 4, k: 4}. What is prob of sequence kkkg?\n' | b'1/455\n' | b'Four letters picked without replacement from {b: 4, j: 1, t: 3, g: 4, k: 4}. What is prob of sequence kkkg?\n' | b'1/455\n' | deepmind/math_dataset |
b'Let w(d) = -3*d + 2. Let x(j) = 2*j - 2. Let z(a) = -2*w(a) - x(a). Calculate z(-4).\n' | b'-18\n' | b'Let w(d) = -3*d + 2. Let x(j) = 2*j - 2. Let z(a) = -2*w(a) - x(a). Calculate z(-4).\n' | b'-18\n' | deepmind/math_dataset |
b'Let j(n) = -3637*n**4 - 3*n**3 + 1447. Let r(a) = 7276*a**4 + 7*a**3 - 2883. Let l(x) = -7*j(x) - 3*r(x). Find the first derivative of l(c) wrt c.\n' | b'14524*c**3\n' | b'Let j(n) = -3637*n**4 - 3*n**3 + 1447. Let r(a) = 7276*a**4 + 7*a**3 - 2883. Let l(x) = -7*j(x) - 3*r(x). Find the first derivative of l(c) wrt c.\n' | b'14524*c**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from tgwggtwatttttttgz. Give prob of sequence tzw.\n' | b'3/680\n' | b'Three letters picked without replacement from tgwggtwatttttttgz. Give prob of sequence tzw.\n' | b'3/680\n' | deepmind/math_dataset |
b'Let v(t) = -t**5 + 3*t**3 + 11*t + 3. Let k(p) = p**5 - 4*p**3 - 11*p - 4. Let h(j) = -3*k(j) - 4*v(j). Find the second derivative of h(l) wrt l.\n' | b'20*l**3\n' | b'Let v(t) = -t**5 + 3*t**3 + 11*t + 3. Let k(p) = p**5 - 4*p**3 - 11*p - 4. Let h(j) = -3*k(j) - 4*v(j). Find the second derivative of h(l) wrt l.\n' | b'20*l**3\n' | deepmind/math_dataset |
b'Let s be 4 + (6 - 3) - (1 + -28). Let k(t) = t**2 + 3*t - 3. Let z be k(5). Let p = z - s. Solve p*w - 4*w + 7 = 2*q, 0 = 2*w - 3*q + 14 for w.\n' | b'-1\n' | b'Let s be 4 + (6 - 3) - (1 + -28). Let k(t) = t**2 + 3*t - 3. Let z be k(5). Let p = z - s. Solve p*w - 4*w + 7 = 2*q, 0 = 2*w - 3*q + 14 for w.\n' | b'-1\n' | deepmind/math_dataset |
b'Let n be (-183)/(-9) - (-3)/(-9). Suppose 17*l + 30 = n*l. Solve 4*v - 4*a + 2*a - l = 0, 3*v + 5*a + 25 = 0 for v.\n' | b'0\n' | b'Let n be (-183)/(-9) - (-3)/(-9). Suppose 17*l + 30 = n*l. Solve 4*v - 4*a + 2*a - l = 0, 3*v + 5*a + 25 = 0 for v.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from exxeevvxex. What is prob of sequence xe?\n' | b'8/45\n' | b'Two letters picked without replacement from exxeevvxex. What is prob of sequence xe?\n' | b'8/45\n' | deepmind/math_dataset |
b'Let x(u) be the second derivative of 9*u**5/4 - 7*u**2/2 + 20*u. Differentiate x(y) wrt y.\n' | b'135*y**2\n' | b'Let x(u) be the second derivative of 9*u**5/4 - 7*u**2/2 + 20*u. Differentiate x(y) wrt y.\n' | b'135*y**2\n' | deepmind/math_dataset |
b'Let w(l) be the second derivative of -9*l**5/20 - 415*l**4/12 - 3742*l**3/3 - l**2/2 - 387*l + 1. What is the second derivative of w(d) wrt d?\n' | b'-54*d - 830\n' | b'Let w(l) be the second derivative of -9*l**5/20 - 415*l**4/12 - 3742*l**3/3 - l**2/2 - 387*l + 1. What is the second derivative of w(d) wrt d?\n' | b'-54*d - 830\n' | deepmind/math_dataset |
b'What is prob of picking 1 z, 1 t, 1 j, and 1 k when four letters picked without replacement from {t: 4, j: 2, z: 1, v: 1, k: 1}?\n' | b'4/63\n' | b'What is prob of picking 1 z, 1 t, 1 j, and 1 k when four letters picked without replacement from {t: 4, j: 2, z: 1, v: 1, k: 1}?\n' | b'4/63\n' | deepmind/math_dataset |
b'Suppose 0 = -3*f + 5*x + 76, 0 = -3*f - 0*x - 3*x + 60. Solve -2*r = 3*g + g - f, 3*g + 3*r = 24 for g.\n' | b'3\n' | b'Suppose 0 = -3*f + 5*x + 76, 0 = -3*f - 0*x - 3*x + 60. Solve -2*r = 3*g + g - f, 3*g + 3*r = 24 for g.\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from kkaoo. Give prob of sequence oako.\n' | b'1/30\n' | b'Four letters picked without replacement from kkaoo. Give prob of sequence oako.\n' | b'1/30\n' | deepmind/math_dataset |
b'Let m be (-6)/4 + 10/4. Solve -3*g = 4*a - 11, -3*a + m = -4*g - 1 for a.\n' | b'2\n' | b'Let m be (-6)/4 + 10/4. Solve -3*g = 4*a - 11, -3*a + m = -4*g - 1 for a.\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zzcc. What is prob of sequence zcc?\n' | b'1/6\n' | b'Three letters picked without replacement from zzcc. What is prob of sequence zcc?\n' | b'1/6\n' | deepmind/math_dataset |
b'Suppose 44*k - 35*k = -9. Let o(t) = -21*t**3 + 2*t**2 - 1. Calculate o(k).\n' | b'22\n' | b'Suppose 44*k - 35*k = -9. Let o(t) = -21*t**3 + 2*t**2 - 1. Calculate o(k).\n' | b'22\n' | deepmind/math_dataset |
b'Let x(s) = -17*s**3 + s**2 + s - 1. Let k(g) = -3*g**2 - 3*g + 3. Let d be k(-3). Let j be 20/d*(-6)/4. Suppose 0 = -j*f - 0 + 2. Give x(f).\n' | b'-16\n' | b'Let x(s) = -17*s**3 + s**2 + s - 1. Let k(g) = -3*g**2 - 3*g + 3. Let d be k(-3). Let j be 20/d*(-6)/4. Suppose 0 = -j*f - 0 + 2. Give x(f).\n' | b'-16\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ykzpkuh. Give prob of sequence pyz.\n' | b'1/210\n' | b'Three letters picked without replacement from ykzpkuh. Give prob of sequence pyz.\n' | b'1/210\n' | deepmind/math_dataset |
b'Three letters picked without replacement from saaayssaaaaaqaqa. What is prob of sequence yaa?\n' | b'3/112\n' | b'Three letters picked without replacement from saaayssaaaaaqaqa. What is prob of sequence yaa?\n' | b'3/112\n' | deepmind/math_dataset |
b'Simplify (k/k**7*k**3/k*(k/(k/k**(3/5)))/(k/(k*k/k**(4/7)*k)))**50 assuming k is positive.\n' | b'k**(-690/7)\n' | b'Simplify (k/k**7*k**3/k*(k/(k/k**(3/5)))/(k/(k*k/k**(4/7)*k)))**50 assuming k is positive.\n' | b'k**(-690/7)\n' | deepmind/math_dataset |
b'Suppose -2*f + f + 14 = 5*v, 2*v - 20 = -4*f. Let j be 6/v - (-12 - -15). Solve -o + 7 = 2*x - j, 5*o = -x + 26 for o.\n' | b'5\n' | b'Suppose -2*f + f + 14 = 5*v, 2*v - 20 = -4*f. Let j be 6/v - (-12 - -15). Solve -o + 7 = 2*x - j, 5*o = -x + 26 for o.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 0 = -31*y + 51*y. Solve -2*u + 6*u + 16 = y, 4 = 4*l - 5*u for l.\n' | b'-4\n' | b'Suppose 0 = -31*y + 51*y. Solve -2*u + 6*u + 16 = y, 4 = 4*l - 5*u for l.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 0 - 15 = 3*q. Let p(r) be the first derivative of r**4/12 + 7*r**3/6 + 351*r**2/2 + 204. Let n(g) be the second derivative of p(g). Determine n(q).\n' | b'-3\n' | b'Suppose 0 - 15 = 3*q. Let p(r) be the first derivative of r**4/12 + 7*r**3/6 + 351*r**2/2 + 204. Let n(g) be the second derivative of p(g). Determine n(q).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (h**(-6)*h**(-11))**(5/8)*(h**(-1/4)/(h/h**(-2)))**(-5) assuming h is positive.\n' | b'h**(45/8)\n' | b'Simplify (h**(-6)*h**(-11))**(5/8)*(h**(-1/4)/(h/h**(-2)))**(-5) assuming h is positive.\n' | b'h**(45/8)\n' | deepmind/math_dataset |
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