question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Simplify (r**33/r**(-5/4)*(r*r/(r/r**(1/24)))/((r/((r*r**8/r*r*r)/r))/r))**(-6/19) assuming r is positive.\n' | b'r**(-1063/76)\n' | b'Simplify (r**33/r**(-5/4)*(r*r/(r/r**(1/24)))/((r/((r*r**8/r*r*r)/r))/r))**(-6/19) assuming r is positive.\n' | b'r**(-1063/76)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 1, z: 10, g: 1, h: 2, p: 3, y: 2}. Give prob of sequence yy.\n' | b'1/171\n' | b'Two letters picked without replacement from {m: 1, z: 10, g: 1, h: 2, p: 3, y: 2}. Give prob of sequence yy.\n' | b'1/171\n' | deepmind/math_dataset |
b'Suppose -3*d - 9 + 13 = -p, -4*p = -5*d - 5. Solve 3*s - 6*s - d*i + 6 = 0, 0 = -5*s + 3*i - 14 for s.\n' | b'-1\n' | b'Suppose -3*d - 9 + 13 = -p, -4*p = -5*d - 5. Solve 3*s - 6*s - d*i + 6 = 0, 0 = -5*s + 3*i - 14 for s.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence wex when three letters picked without replacement from {w: 1, d: 3, x: 5, e: 1}.\n' | b'1/144\n' | b'Calculate prob of sequence wex when three letters picked without replacement from {w: 1, d: 3, x: 5, e: 1}.\n' | b'1/144\n' | deepmind/math_dataset |
b'Let u be ((-4)/6)/((-12)/90). Solve 5*p + u = -2*o, -4*o + 4 = -5*p - 31 for o.\n' | b'5\n' | b'Let u be ((-4)/6)/((-12)/90). Solve 5*p + u = -2*o, -4*o + 4 = -5*p - 31 for o.\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qqbykdbqbbbkbqd. Give prob of sequence qd.\n' | b'4/105\n' | b'Two letters picked without replacement from qqbykdbqbbbkbqd. Give prob of sequence qd.\n' | b'4/105\n' | deepmind/math_dataset |
b'Let w(z) = 32*z**4 - 4*z**3 - 647*z**2 - 4*z + 4. Let s(j) = j**3 + j**2 + j - 1. Let b(r) = 4*s(r) + w(r). What is the third derivative of b(h) wrt h?\n' | b'768*h\n' | b'Let w(z) = 32*z**4 - 4*z**3 - 647*z**2 - 4*z + 4. Let s(j) = j**3 + j**2 + j - 1. Let b(r) = 4*s(r) + w(r). What is the third derivative of b(h) wrt h?\n' | b'768*h\n' | deepmind/math_dataset |
b'Suppose 3*w = h - 3, -3*h + 4 = -2*w - 5. Let t be 5/(20/44) - (7 + 1). Solve 10 = -5*n, 3*n + t = -w*o - 3*o for o.\n' | b'1\n' | b'Suppose 3*w = h - 3, -3*h + 4 = -2*w - 5. Let t be 5/(20/44) - (7 + 1). Solve 10 = -5*n, 3*n + t = -w*o - 3*o for o.\n' | b'1\n' | deepmind/math_dataset |
b'Let l = 6 + -6. Suppose 298 + 32 = -5*h. Let k be (h/12)/((-1)/(4 + -2)). Solve 5*u + 6*a - 2*a + 7 = l, a = 3*u + k for u.\n' | b'-3\n' | b'Let l = 6 + -6. Suppose 298 + 32 = -5*h. Let k be (h/12)/((-1)/(4 + -2)). Solve 5*u + 6*a - 2*a + 7 = l, a = 3*u + k for u.\n' | b'-3\n' | deepmind/math_dataset |
b'Let b be 8*1 - (23 - 18). Solve 5*k - 3*l - 11 = 0, k + 1 + 4 = -b*l for k.\n' | b'1\n' | b'Let b be 8*1 - (23 - 18). Solve 5*k - 3*l - 11 = 0, k + 1 + 4 = -b*l for k.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 2, z: 4}. Give prob of sequence zzm.\n' | b'1/5\n' | b'Three letters picked without replacement from {m: 2, z: 4}. Give prob of sequence zzm.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let n(t) = 337*t + 16. Let s(r) = -5394*r - 258. Suppose f - 1 = 0, 5*z + 6*f + 168 = 9*f. Let p(c) = z*n(c) - 2*s(c). Find the first derivative of p(x) wrt x.\n' | b'-333\n' | b'Let n(t) = 337*t + 16. Let s(r) = -5394*r - 258. Suppose f - 1 = 0, 5*z + 6*f + 168 = 9*f. Let p(c) = z*n(c) - 2*s(c). Find the first derivative of p(x) wrt x.\n' | b'-333\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 6}. What is prob of sequence ii?\n' | b'1\n' | b'Two letters picked without replacement from {i: 6}. What is prob of sequence ii?\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((o**4)**(-1/33))**(-1/2) assuming o is positive.\n' | b'o**(2/33)\n' | b'Simplify ((o**4)**(-1/33))**(-1/2) assuming o is positive.\n' | b'o**(2/33)\n' | deepmind/math_dataset |
b'Let u(p) = p**3 - 2*p**2 + p - 1. Let j be u(3). Let o = -30 - -31. Suppose 3*k - o - 14 = 0. Solve -4*l = k*q + j, -2 = q + 4*l - 3 for q.\n' | b'-3\n' | b'Let u(p) = p**3 - 2*p**2 + p - 1. Let j be u(3). Let o = -30 - -31. Suppose 3*k - o - 14 = 0. Solve -4*l = k*q + j, -2 = q + 4*l - 3 for q.\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from zzmdvzmlzymm. Give prob of sequence yzld.\n' | b'1/2970\n' | b'Four letters picked without replacement from zzmdvzmlzymm. Give prob of sequence yzld.\n' | b'1/2970\n' | deepmind/math_dataset |
b'Let a(d) = -151*d + 338*d + 9 - 172*d. Determine a(-2).\n' | b'-21\n' | b'Let a(d) = -151*d + 338*d + 9 - 172*d. Determine a(-2).\n' | b'-21\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 2, z: 2, i: 1, g: 9}. What is prob of picking 1 z and 2 g?\n' | b'18/91\n' | b'Three letters picked without replacement from {f: 2, z: 2, i: 1, g: 9}. What is prob of picking 1 z and 2 g?\n' | b'18/91\n' | deepmind/math_dataset |
b'Simplify ((j*j**(2/7))/j**(2/9)*j**(-2/15)*j**(-2))/(j**(3/2)/(j*j**2/j))**(3/4) assuming j is positive.\n' | b'j**(-1751/2520)\n' | b'Simplify ((j*j**(2/7))/j**(2/9)*j**(-2/15)*j**(-2))/(j**(3/2)/(j*j**2/j))**(3/4) assuming j is positive.\n' | b'j**(-1751/2520)\n' | deepmind/math_dataset |
b'Suppose 0*v + 28 = 7*v. Suppose -2*w + v*d - 1 = -5*w, -5*d - 39 = -2*w. Suppose 0 = -w*g + 123 - 11. Solve -4*n = -m + 3, n - g = 4*m - n for m.\n' | b'-5\n' | b'Suppose 0*v + 28 = 7*v. Suppose -2*w + v*d - 1 = -5*w, -5*d - 39 = -2*w. Suppose 0 = -w*g + 123 - 11. Solve -4*n = -m + 3, n - g = 4*m - n for m.\n' | b'-5\n' | deepmind/math_dataset |
b'Let w be (-2)/((-4)/(-6)*-1). Let o(j) = 4 + 14*j + 13*j - 6 - 24*j. Determine o(w).\n' | b'7\n' | b'Let w be (-2)/((-4)/(-6)*-1). Let o(j) = 4 + 14*j + 13*j - 6 - 24*j. Determine o(w).\n' | b'7\n' | deepmind/math_dataset |
b'Simplify (t**(-4/15)*t*t*t**(2/59)*t**(1/5)*t**(2/11)*t*t)**(41/4) assuming t is positive.\n' | b't**(1656031/38940)\n' | b'Simplify (t**(-4/15)*t*t*t**(2/59)*t**(1/5)*t**(2/11)*t*t)**(41/4) assuming t is positive.\n' | b't**(1656031/38940)\n' | deepmind/math_dataset |
b'Simplify (n**13*((n/(n/n**(4/7)*n)*n)/n*n)/n)/(n*(n/(n**(3/10)/n))/n)**(-9/7) assuming n is positive.\n' | b'n**(1033/70)\n' | b'Simplify (n**13*((n/(n/n**(4/7)*n)*n)/n*n)/n)/(n*(n/(n**(3/10)/n))/n)**(-9/7) assuming n is positive.\n' | b'n**(1033/70)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 2, g: 4, b: 3}. Give prob of sequence ga.\n' | b'1/9\n' | b'Two letters picked without replacement from {a: 2, g: 4, b: 3}. Give prob of sequence ga.\n' | b'1/9\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ajjnunanaannnjanuam. What is prob of sequence jjum?\n' | b'1/7752\n' | b'Four letters picked without replacement from ajjnunanaannnjanuam. What is prob of sequence jjum?\n' | b'1/7752\n' | deepmind/math_dataset |
b'Suppose -12*m + 95 = -13*m. Let t = 84 + m. Let z(g) = -g**3 - 10*g**2 + 11*g. Calculate z(t).\n' | b'0\n' | b'Suppose -12*m + 95 = -13*m. Let t = 84 + m. Let z(g) = -g**3 - 10*g**2 + 11*g. Calculate z(t).\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mbmmmmbbbmmmmmbbbzbm. What is prob of sequence bmm?\n' | b'22/171\n' | b'Three letters picked without replacement from mbmmmmbbbmmmmmbbbzbm. What is prob of sequence bmm?\n' | b'22/171\n' | deepmind/math_dataset |
b'Let b(a) = -3*a**2 - 37*a + 28. Suppose 7*p = -5*p - 156. Let l be b(p). Solve -5*w = -l*i - 13, 4*i + 12 + 1 = -3*w for w.\n' | b'1\n' | b'Let b(a) = -3*a**2 - 37*a + 28. Suppose 7*p = -5*p - 156. Let l be b(p). Solve -5*w = -l*i - 13, 4*i + 12 + 1 = -3*w for w.\n' | b'1\n' | deepmind/math_dataset |
b'Let q(k) = -302*k**3 + 8*k**2 - 7*k - 6. Let j(z) = -607*z**3 + 16*z**2 - 15*z - 13. Let p(d) = 6*j(d) - 13*q(d). Find the third derivative of p(x) wrt x.\n' | b'1704\n' | b'Let q(k) = -302*k**3 + 8*k**2 - 7*k - 6. Let j(z) = -607*z**3 + 16*z**2 - 15*z - 13. Let p(d) = 6*j(d) - 13*q(d). Find the third derivative of p(x) wrt x.\n' | b'1704\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 7, b: 3, d: 8}. Give prob of sequence llbl.\n' | b'7/816\n' | b'Four letters picked without replacement from {l: 7, b: 3, d: 8}. Give prob of sequence llbl.\n' | b'7/816\n' | deepmind/math_dataset |
b'Three letters picked without replacement from aveiebeev. Give prob of sequence bai.\n' | b'1/504\n' | b'Three letters picked without replacement from aveiebeev. Give prob of sequence bai.\n' | b'1/504\n' | deepmind/math_dataset |
b'Calculate prob of sequence xr when two letters picked without replacement from rxxxxxxxmxxmmm.\n' | b'9/182\n' | b'Calculate prob of sequence xr when two letters picked without replacement from rxxxxxxxmxxmmm.\n' | b'9/182\n' | deepmind/math_dataset |
b'Let p(z) be the first derivative of 0*z**2 - z**3 + 3/5*z**5 + 3 + 0*z**4 + 0*z. What is the third derivative of p(s) wrt s?\n' | b'72*s\n' | b'Let p(z) be the first derivative of 0*z**2 - z**3 + 3/5*z**5 + 3 + 0*z**4 + 0*z. What is the third derivative of p(s) wrt s?\n' | b'72*s\n' | deepmind/math_dataset |
b'What is prob of sequence bx when two letters picked without replacement from {x: 12, b: 1}?\n' | b'1/13\n' | b'What is prob of sequence bx when two letters picked without replacement from {x: 12, b: 1}?\n' | b'1/13\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zhtzdhdtzdzztzhtdz. What is prob of sequence tzd?\n' | b'7/306\n' | b'Three letters picked without replacement from zhtzdhdtzdzztzhtdz. What is prob of sequence tzd?\n' | b'7/306\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 q, 1 l, and 1 p when four letters picked without replacement from kknlqnqqqnkpkq.\n' | b'10/1001\n' | b'Calculate prob of picking 2 q, 1 l, and 1 p when four letters picked without replacement from kknlqnqqqnkpkq.\n' | b'10/1001\n' | deepmind/math_dataset |
b'What is prob of sequence kkk when three letters picked without replacement from {k: 3, x: 8}?\n' | b'1/165\n' | b'What is prob of sequence kkk when three letters picked without replacement from {k: 3, x: 8}?\n' | b'1/165\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 2, r: 3, i: 1, n: 3, d: 3, l: 1}. Give prob of sequence qqn.\n' | b'1/286\n' | b'Three letters picked without replacement from {q: 2, r: 3, i: 1, n: 3, d: 3, l: 1}. Give prob of sequence qqn.\n' | b'1/286\n' | deepmind/math_dataset |
b'Suppose -119*c - 9 = -122*c - 3*i, 3*c = 3*i + 9. Solve -2*q - 8 = -c*m + 8, 4*m = 5*q + 26 for m.\n' | b'4\n' | b'Suppose -119*c - 9 = -122*c - 3*i, 3*c = 3*i + 9. Solve -2*q - 8 = -c*m + 8, 4*m = 5*q + 26 for m.\n' | b'4\n' | deepmind/math_dataset |
b'Let l(o) = -3*o**3 + o**2 + o + 1. Suppose 0*s + s - 4*t - 14 = 0, 3*s - 27 = -3*t. Suppose s = -x + 1. Let a = 11 + x. Give l(a).\n' | b'-17\n' | b'Let l(o) = -3*o**3 + o**2 + o + 1. Suppose 0*s + s - 4*t - 14 = 0, 3*s - 27 = -3*t. Suppose s = -x + 1. Let a = 11 + x. Give l(a).\n' | b'-17\n' | deepmind/math_dataset |
b'Let a(q) = 5*q**2 + q - 1. Let v = 928 - 927. What is a(v)?\n' | b'5\n' | b'Let a(q) = 5*q**2 + q - 1. Let v = 928 - 927. What is a(v)?\n' | b'5\n' | deepmind/math_dataset |
b'Differentiate -227*j**2 - 49*j**3 + 2*j**4 - 3 + 227*j**2 wrt j.\n' | b'8*j**3 - 147*j**2\n' | b'Differentiate -227*j**2 - 49*j**3 + 2*j**4 - 3 + 227*j**2 wrt j.\n' | b'8*j**3 - 147*j**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 3, c: 3, b: 2}. Give prob of sequence cbb.\n' | b'1/56\n' | b'Three letters picked without replacement from {o: 3, c: 3, b: 2}. Give prob of sequence cbb.\n' | b'1/56\n' | deepmind/math_dataset |
b'Let v(t) be the first derivative of 0*t**4 - 4/3*t**3 + 19/5*t**5 - 3*t**2 - 66 + 0*t. Find the third derivative of v(f) wrt f.\n' | b'456*f\n' | b'Let v(t) be the first derivative of 0*t**4 - 4/3*t**3 + 19/5*t**5 - 3*t**2 - 66 + 0*t. Find the third derivative of v(f) wrt f.\n' | b'456*f\n' | deepmind/math_dataset |
b'Let h(w) be the first derivative of 0*w**4 - 6/5*w**5 + 0*w + 4 + 0*w**3 + 1/2*w**2. What is the second derivative of h(p) wrt p?\n' | b'-72*p**2\n' | b'Let h(w) be the first derivative of 0*w**4 - 6/5*w**5 + 0*w + 4 + 0*w**3 + 1/2*w**2. What is the second derivative of h(p) wrt p?\n' | b'-72*p**2\n' | deepmind/math_dataset |
b'Let x(r) be the third derivative of -r**4/24 - 2*r**3 - 161*r**2. Give x(-12).\n' | b'0\n' | b'Let x(r) be the third derivative of -r**4/24 - 2*r**3 - 161*r**2. Give x(-12).\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence df when two letters picked without replacement from {q: 1, f: 1, d: 3, e: 3, w: 5}.\n' | b'1/52\n' | b'Calculate prob of sequence df when two letters picked without replacement from {q: 1, f: 1, d: 3, e: 3, w: 5}.\n' | b'1/52\n' | deepmind/math_dataset |
b'Let a(u) = -2*u**2 + 3 - 4*u + u**2 - 14*u. Let h be a(-17). Solve -h = -4*p, -5*p - 3 = -4*c - 4*p for c.\n' | b'2\n' | b'Let a(u) = -2*u**2 + 3 - 4*u + u**2 - 14*u. Let h be a(-17). Solve -h = -4*p, -5*p - 3 = -4*c - 4*p for c.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (a**(-3/17)*a**22*a*a)**(12/5) assuming a is positive.\n' | b'a**(972/17)\n' | b'Simplify (a**(-3/17)*a**22*a*a)**(12/5) assuming a is positive.\n' | b'a**(972/17)\n' | deepmind/math_dataset |
b'Let r(x) = 4*x + 3. Let q be r(-3). Let v = q - -11. Suppose -2*z = -c - v - 7, 5*z + 5*c = 0. Solve 0 = 3*f - 3*i + z, -f + 2*i - 1 = 1 for f.\n' | b'0\n' | b'Let r(x) = 4*x + 3. Let q be r(-3). Let v = q - -11. Suppose -2*z = -c - v - 7, 5*z + 5*c = 0. Solve 0 = 3*f - 3*i + z, -f + 2*i - 1 = 1 for f.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (i/(i/i**13*i*i))/(i/(i/((i/(i/(i**(-2/43)/i)*i)*i)/i)))*((i**(3/8)*i)/i)**(4/5) assuming i is positive.\n' | b'i**(5739/430)\n' | b'Simplify (i/(i/i**13*i*i))/(i/(i/((i/(i/(i**(-2/43)/i)*i)*i)/i)))*((i**(3/8)*i)/i)**(4/5) assuming i is positive.\n' | b'i**(5739/430)\n' | deepmind/math_dataset |
b'Simplify (((b/((b*b**(-6/7)*b)/b))**7)**(-11))**(-10/7) assuming b is positive.\n' | b'b**(660/7)\n' | b'Simplify (((b/((b*b**(-6/7)*b)/b))**7)**(-11))**(-10/7) assuming b is positive.\n' | b'b**(660/7)\n' | deepmind/math_dataset |
b'Calculate prob of sequence hh when two letters picked without replacement from {h: 12, e: 6}.\n' | b'22/51\n' | b'Calculate prob of sequence hh when two letters picked without replacement from {h: 12, e: 6}.\n' | b'22/51\n' | deepmind/math_dataset |
b'Calculate prob of sequence olm when three letters picked without replacement from {m: 1, e: 1, o: 2, n: 1, l: 2}.\n' | b'2/105\n' | b'Calculate prob of sequence olm when three letters picked without replacement from {m: 1, e: 1, o: 2, n: 1, l: 2}.\n' | b'2/105\n' | deepmind/math_dataset |
b'Let l be 830/8 - (1/(-4))/1. What is the first derivative of 41 - 104*y + l*y - 19*y**3 wrt y?\n' | b'-57*y**2\n' | b'Let l be 830/8 - (1/(-4))/1. What is the first derivative of 41 - 104*y + l*y - 19*y**3 wrt y?\n' | b'-57*y**2\n' | deepmind/math_dataset |
b'Let d(m) be the first derivative of -m**6/3 + 242*m**5/5 + 2943*m**2 + 3785. What is the second derivative of d(w) wrt w?\n' | b'-40*w**3 + 2904*w**2\n' | b'Let d(m) be the first derivative of -m**6/3 + 242*m**5/5 + 2943*m**2 + 3785. What is the second derivative of d(w) wrt w?\n' | b'-40*w**3 + 2904*w**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 4, o: 6, g: 1, d: 4, t: 2}. Give prob of sequence gou.\n' | b'1/170\n' | b'Three letters picked without replacement from {u: 4, o: 6, g: 1, d: 4, t: 2}. Give prob of sequence gou.\n' | b'1/170\n' | deepmind/math_dataset |
b'Suppose -2*p + 3*f - 4 = 0, p - 2*f = -3*f + 8. Suppose i - 14 = -p. Let b = 14 - i. Solve -4*n - 24 = -b*z, -z + 2*z = 3*n + 8 for z.\n' | b'5\n' | b'Suppose -2*p + 3*f - 4 = 0, p - 2*f = -3*f + 8. Suppose i - 14 = -p. Let b = 14 - i. Solve -4*n - 24 = -b*z, -z + 2*z = 3*n + 8 for z.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 7, u: 4, o: 4}. What is prob of picking 4 u?\n' | b'1/1365\n' | b'Four letters picked without replacement from {r: 7, u: 4, o: 4}. What is prob of picking 4 u?\n' | b'1/1365\n' | deepmind/math_dataset |
b'Let i(z) = 3*z**4 - 8*z**2 + 23*z + 6. Let j(x) = -5*x**4 + 12*x**2 - 34*x - 9. Let n(d) = 7*i(d) + 5*j(d). Find the second derivative of n(a) wrt a.\n' | b'-48*a**2 + 8\n' | b'Let i(z) = 3*z**4 - 8*z**2 + 23*z + 6. Let j(x) = -5*x**4 + 12*x**2 - 34*x - 9. Let n(d) = 7*i(d) + 5*j(d). Find the second derivative of n(a) wrt a.\n' | b'-48*a**2 + 8\n' | deepmind/math_dataset |
b'What is prob of sequence wqr when three letters picked without replacement from {y: 4, w: 1, l: 5, q: 5, d: 2, r: 3}?\n' | b'1/456\n' | b'What is prob of sequence wqr when three letters picked without replacement from {y: 4, w: 1, l: 5, q: 5, d: 2, r: 3}?\n' | b'1/456\n' | deepmind/math_dataset |
b'Let m(r) be the third derivative of 0*r**4 - 1/3*r**5 + 1/84*r**8 - r**2 + 0*r**3 + 1/120*r**6 - 3*r + 0*r**7 + 0. What is the third derivative of m(c) wrt c?\n' | b'240*c**2 + 6\n' | b'Let m(r) be the third derivative of 0*r**4 - 1/3*r**5 + 1/84*r**8 - r**2 + 0*r**3 + 1/120*r**6 - 3*r + 0*r**7 + 0. What is the third derivative of m(c) wrt c?\n' | b'240*c**2 + 6\n' | deepmind/math_dataset |
b'Calculate prob of sequence unn when three letters picked without replacement from nuuhcunnrnn.\n' | b'2/33\n' | b'Calculate prob of sequence unn when three letters picked without replacement from nuuhcunnrnn.\n' | b'2/33\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 3, p: 1, u: 1, c: 4, l: 3, w: 6}. What is prob of sequence wc?\n' | b'4/51\n' | b'Two letters picked without replacement from {q: 3, p: 1, u: 1, c: 4, l: 3, w: 6}. What is prob of sequence wc?\n' | b'4/51\n' | deepmind/math_dataset |
b'Let k(p) = -2*p - 53. Let o be k(-12). Let g = -19 - o. Let l(c) = -2*c + 5. Calculate l(g).\n' | b'-15\n' | b'Let k(p) = -2*p - 53. Let o be k(-12). Let g = -19 - o. Let l(c) = -2*c + 5. Calculate l(g).\n' | b'-15\n' | deepmind/math_dataset |
b'Suppose 71 - 86 = -3*o. Solve -k = -2*t + t + 6, o*k = -5*t - 10 for t.\n' | b'2\n' | b'Suppose 71 - 86 = -3*o. Solve -k = -2*t + t + 6, o*k = -5*t - 10 for t.\n' | b'2\n' | deepmind/math_dataset |
b'Let z(g) = g**2 + 3*g. Let j = 11 - 11. Suppose 0 - 8 = o + y, -o + y = j. Calculate z(o).\n' | b'4\n' | b'Let z(g) = g**2 + 3*g. Let j = 11 - 11. Suppose 0 - 8 = o + y, -o + y = j. Calculate z(o).\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence xoq when three letters picked without replacement from tttqutuoxtxxt?\n' | b'1/572\n' | b'What is prob of sequence xoq when three letters picked without replacement from tttqutuoxtxxt?\n' | b'1/572\n' | deepmind/math_dataset |
b'What is prob of picking 1 v and 1 b when two letters picked without replacement from {a: 4, b: 2, v: 3, h: 7, y: 3}?\n' | b'2/57\n' | b'What is prob of picking 1 v and 1 b when two letters picked without replacement from {a: 4, b: 2, v: 3, h: 7, y: 3}?\n' | b'2/57\n' | deepmind/math_dataset |
b'Calculate prob of sequence tc when two letters picked without replacement from {t: 3, g: 7, o: 6, c: 1}.\n' | b'3/272\n' | b'Calculate prob of sequence tc when two letters picked without replacement from {t: 3, g: 7, o: 6, c: 1}.\n' | b'3/272\n' | deepmind/math_dataset |
b'Let q = 13 - 7. Suppose q*d - 48 = 3*d. Suppose 0*z + 4*z = -3*g + 3, 5*g = -3*z + d. Solve 2*h + 1 = p - h, -h = g*p + 11 for p.\n' | b'-2\n' | b'Let q = 13 - 7. Suppose q*d - 48 = 3*d. Suppose 0*z + 4*z = -3*g + 3, 5*g = -3*z + d. Solve 2*h + 1 = p - h, -h = g*p + 11 for p.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 a, 1 w, and 2 l when four letters picked without replacement from {w: 2, j: 4, a: 7, s: 2, o: 2, l: 2}.\n' | b'7/1938\n' | b'Calculate prob of picking 1 a, 1 w, and 2 l when four letters picked without replacement from {w: 2, j: 4, a: 7, s: 2, o: 2, l: 2}.\n' | b'7/1938\n' | deepmind/math_dataset |
b'Let r(t) = 2*t**2 - 5*t + 4. Let p(n) be the first derivative of 5*n**2/2 - n - 7. Let y be p(1). Determine r(y).\n' | b'16\n' | b'Let r(t) = 2*t**2 - 5*t + 4. Let p(n) be the first derivative of 5*n**2/2 - n - 7. Let y be p(1). Determine r(y).\n' | b'16\n' | deepmind/math_dataset |
b'Let p(k) = k**3 - 5*k**2 - 11*k + 3. Let o(n) = 2*n**3 - 10*n**2 - 21*n + 6. Let q(z) = 4*o(z) - 7*p(z). Determine q(6).\n' | b'-3\n' | b'Let p(k) = k**3 - 5*k**2 - 11*k + 3. Let o(n) = 2*n**3 - 10*n**2 - 21*n + 6. Let q(z) = 4*o(z) - 7*p(z). Determine q(6).\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 3 k when three letters picked without replacement from {k: 3}?\n' | b'1\n' | b'What is prob of picking 3 k when three letters picked without replacement from {k: 3}?\n' | b'1\n' | deepmind/math_dataset |
b'What is the third derivative of -3 - 2*b**3 + 11*b**5 - 6*b**2 + 8*b**2 + 3*b**3 - 4*b**2 wrt b?\n' | b'660*b**2 + 6\n' | b'What is the third derivative of -3 - 2*b**3 + 11*b**5 - 6*b**2 + 8*b**2 + 3*b**3 - 4*b**2 wrt b?\n' | b'660*b**2 + 6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from uubbbubbbblbu. Give prob of picking 1 u and 1 b.\n' | b'16/39\n' | b'Two letters picked without replacement from uubbbubbbblbu. Give prob of picking 1 u and 1 b.\n' | b'16/39\n' | deepmind/math_dataset |
b'Simplify (b**(1/2))**(11/2)/((b*b/(b**(-4)*b))/(b*b*b*b**(-1/2)))*(b**(-1/4))**35/(b**(-4/5)*b/(b*b**(2/7)*b)) assuming b is positive.\n' | b'b**(-449/70)\n' | b'Simplify (b**(1/2))**(11/2)/((b*b/(b**(-4)*b))/(b*b*b*b**(-1/2)))*(b**(-1/4))**35/(b**(-4/5)*b/(b*b**(2/7)*b)) assuming b is positive.\n' | b'b**(-449/70)\n' | deepmind/math_dataset |
b'Let p(g) = -49*g**4 + 3*g**3 + 3*g + 25. Let c(q) = -48*q**4 + 4*q**3 + q**2 + 4*q + 26. Let h(u) = -3*c(u) + 4*p(u). Find the third derivative of h(r) wrt r.\n' | b'-1248*r\n' | b'Let p(g) = -49*g**4 + 3*g**3 + 3*g + 25. Let c(q) = -48*q**4 + 4*q**3 + q**2 + 4*q + 26. Let h(u) = -3*c(u) + 4*p(u). Find the third derivative of h(r) wrt r.\n' | b'-1248*r\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r and 2 h when three letters picked without replacement from urrhhhhhuhhggh.\n' | b'2/13\n' | b'Calculate prob of picking 1 r and 2 h when three letters picked without replacement from urrhhhhhuhhggh.\n' | b'2/13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 2, a: 3, s: 2, y: 2}. Give prob of sequence rs.\n' | b'1/18\n' | b'Two letters picked without replacement from {r: 2, a: 3, s: 2, y: 2}. Give prob of sequence rs.\n' | b'1/18\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 6, k: 1, e: 4, j: 2, z: 1, m: 4}. Give prob of sequence pj.\n' | b'2/51\n' | b'Two letters picked without replacement from {p: 6, k: 1, e: 4, j: 2, z: 1, m: 4}. Give prob of sequence pj.\n' | b'2/51\n' | deepmind/math_dataset |
b'Let w(q) be the third derivative of q**9/20160 - q**6/240 + q**5/60 - 3*q**2. Let u(l) be the third derivative of w(l). What is the derivative of u(s) wrt s?\n' | b'9*s**2\n' | b'Let w(q) be the third derivative of q**9/20160 - q**6/240 + q**5/60 - 3*q**2. Let u(l) be the third derivative of w(l). What is the derivative of u(s) wrt s?\n' | b'9*s**2\n' | deepmind/math_dataset |
b'Let c(n) = -4*n - 58. Let p be c(-16). Suppose -6*y - 2*w = -7*y + p, -w = -5*y + 30. Suppose 8*s = 7*s - y*s. Let t(v) = v**3 - v**2 - 9. Calculate t(s).\n' | b'-9\n' | b'Let c(n) = -4*n - 58. Let p be c(-16). Suppose -6*y - 2*w = -7*y + p, -w = -5*y + 30. Suppose 8*s = 7*s - y*s. Let t(v) = v**3 - v**2 - 9. Calculate t(s).\n' | b'-9\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 3, u: 13}. What is prob of sequence uub?\n' | b'39/280\n' | b'Three letters picked without replacement from {b: 3, u: 13}. What is prob of sequence uub?\n' | b'39/280\n' | deepmind/math_dataset |
b'Simplify (l*l**(-30))**(-45)/(l**0/l)**(-1/77) assuming l is positive.\n' | b'l**(100484/77)\n' | b'Simplify (l*l**(-30))**(-45)/(l**0/l)**(-1/77) assuming l is positive.\n' | b'l**(100484/77)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 2, o: 1, t: 7}. Give prob of picking 1 o and 2 t.\n' | b'7/40\n' | b'Three letters picked without replacement from {g: 2, o: 1, t: 7}. Give prob of picking 1 o and 2 t.\n' | b'7/40\n' | deepmind/math_dataset |
b'What is prob of picking 1 j, 2 g, and 1 h when four letters picked without replacement from gfgbhbhbeffj?\n' | b'2/495\n' | b'What is prob of picking 1 j, 2 g, and 1 h when four letters picked without replacement from gfgbhbhbeffj?\n' | b'2/495\n' | deepmind/math_dataset |
b'Simplify (q/(q/(q**(-1/5)*q)))**(-2/43)/(q/(q*q/q**(-1/7))*(q/((q**(2/5)*q)/q))/q)*(q**(-1/5))**(36/5)/(q**(1/4))**(-32) assuming q is positive.\n' | b'q**(60694/7525)\n' | b'Simplify (q/(q/(q**(-1/5)*q)))**(-2/43)/(q/(q*q/q**(-1/7))*(q/((q**(2/5)*q)/q))/q)*(q**(-1/5))**(36/5)/(q**(1/4))**(-32) assuming q is positive.\n' | b'q**(60694/7525)\n' | deepmind/math_dataset |
b'Simplify o**(-16)/o**(3/16) assuming o is positive.\n' | b'o**(-259/16)\n' | b'Simplify o**(-16)/o**(3/16) assuming o is positive.\n' | b'o**(-259/16)\n' | deepmind/math_dataset |
b'Suppose 8 = 9*y - 7*y. Let p be 2/((-2)/(-3)) + -8. Let w = 9 + p. Solve w*v + 24 = y*k + 8, -k + 5*v = -20 for k.\n' | b'0\n' | b'Suppose 8 = 9*y - 7*y. Let p be 2/((-2)/(-3)) + -8. Let w = 9 + p. Solve w*v + 24 = y*k + 8, -k + 5*v = -20 for k.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -3*a = -5*v + 2*v, v - 4 = 2*a. Let w be ((-16)/12)/(v/3 - -1). Let u(q) = -3*q + 2. Give u(w).\n' | b'-10\n' | b'Suppose -3*a = -5*v + 2*v, v - 4 = 2*a. Let w be ((-16)/12)/(v/3 - -1). Let u(q) = -3*q + 2. Give u(w).\n' | b'-10\n' | deepmind/math_dataset |
b'Suppose 13*t - 12 = 9*t. Let p be (-1)/(-1) - (-4476)/t. Find the first derivative of -1493*a + 3*a**2 + 7 + p*a wrt a.\n' | b'6*a\n' | b'Suppose 13*t - 12 = 9*t. Let p be (-1)/(-1) - (-4476)/t. Find the first derivative of -1493*a + 3*a**2 + 7 + p*a wrt a.\n' | b'6*a\n' | deepmind/math_dataset |
b'What is the first derivative of 524 + 98*y - 58*y + 2*y**2 + 47*y wrt y?\n' | b'4*y + 87\n' | b'What is the first derivative of 524 + 98*y - 58*y + 2*y**2 + 47*y wrt y?\n' | b'4*y + 87\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yysxsddyyyydryyzyyr. What is prob of sequence dd?\n' | b'1/57\n' | b'Two letters picked without replacement from yysxsddyyyydryyzyyr. What is prob of sequence dd?\n' | b'1/57\n' | deepmind/math_dataset |
b'Let m(p) = p**2 + 560*p + 559. Let w be m(-1). Solve 5*x - 6 = 3*l, w = 25*l - 20*l - x + 10 for l.\n' | b'-2\n' | b'Let m(p) = p**2 + 560*p + 559. Let w be m(-1). Solve 5*x - 6 = 3*l, w = 25*l - 20*l - x + 10 for l.\n' | b'-2\n' | deepmind/math_dataset |
b'Let w(t) be the second derivative of -t**9/84 - t**5/15 + 3*t**2 - 4*t. Let m(b) be the first derivative of w(b). Find the third derivative of m(v) wrt v.\n' | b'-720*v**3\n' | b'Let w(t) be the second derivative of -t**9/84 - t**5/15 + 3*t**2 - 4*t. Let m(b) be the first derivative of w(b). Find the third derivative of m(v) wrt v.\n' | b'-720*v**3\n' | deepmind/math_dataset |
b'Suppose 3*l - l - 10 = -2*x, -x - 3*l + 9 = 0. Let d(b) = b**2 - 3*b - 7. Let o be d(5). Suppose -14 = -2*z - 0. Solve x = -p, o = y + p + z for y.\n' | b'-1\n' | b'Suppose 3*l - l - 10 = -2*x, -x - 3*l + 9 = 0. Let d(b) = b**2 - 3*b - 7. Let o be d(5). Suppose -14 = -2*z - 0. Solve x = -p, o = y + p + z for y.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {x: 1, o: 3, l: 3, p: 6}. Give prob of sequence lolo.\n' | b'3/1430\n' | b'Four letters picked without replacement from {x: 1, o: 3, l: 3, p: 6}. Give prob of sequence lolo.\n' | b'3/1430\n' | deepmind/math_dataset |
b'Two letters picked without replacement from uummuu. What is prob of picking 2 m?\n' | b'1/15\n' | b'Two letters picked without replacement from uummuu. What is prob of picking 2 m?\n' | b'1/15\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.