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 -2*k - 23 = -5*o, -k + 3*o = -o + 19. Let n(b) = -4*b**3 - b**2. Let d(j) = j**3 + j. Let w(v) = -d(v) - n(v). Determine w(k).\n' | b'3\n' | b'Suppose -2*k - 23 = -5*o, -k + 3*o = -o + 19. Let n(b) = -4*b**3 - b**2. Let d(j) = j**3 + j. Let w(v) = -d(v) - n(v). Determine w(k).\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {q: 6, x: 5, p: 2}. Give prob of sequence qxpp.\n' | b'1/286\n' | b'Four letters picked without replacement from {q: 6, x: 5, p: 2}. Give prob of sequence qxpp.\n' | b'1/286\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ttgcllcltcllk. Give prob of picking 1 g and 1 k.\n' | b'1/78\n' | b'Two letters picked without replacement from ttgcllcltcllk. Give prob of picking 1 g and 1 k.\n' | b'1/78\n' | deepmind/math_dataset |
b'Four letters picked without replacement from eeejjejeee. What is prob of picking 4 e?\n' | b'1/6\n' | b'Four letters picked without replacement from eeejjejeee. What is prob of picking 4 e?\n' | b'1/6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ddwegeewhe. What is prob of picking 2 w, 1 e, and 1 d?\n' | b'4/105\n' | b'Four letters picked without replacement from ddwegeewhe. What is prob of picking 2 w, 1 e, and 1 d?\n' | b'4/105\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 l and 1 s when three letters picked without replacement from lllss.\n' | b'3/5\n' | b'Calculate prob of picking 2 l and 1 s when three letters picked without replacement from lllss.\n' | b'3/5\n' | deepmind/math_dataset |
b'Simplify ((a*a/(a*a*a*a/a**4)*a)/a**(-2/39)*a*(a**(-6)*a)/a*a*((a/(a/((a**2*a)/a)))/a)/a)**(-50) assuming a is positive.\n' | b'a**(1850/39)\n' | b'Simplify ((a*a/(a*a*a*a/a**4)*a)/a**(-2/39)*a*(a**(-6)*a)/a*a*((a/(a/((a**2*a)/a)))/a)/a)**(-50) assuming a is positive.\n' | b'a**(1850/39)\n' | deepmind/math_dataset |
b'What is prob of picking 1 o and 1 y when two letters picked without replacement from oooyy?\n' | b'3/5\n' | b'What is prob of picking 1 o and 1 y when two letters picked without replacement from oooyy?\n' | b'3/5\n' | deepmind/math_dataset |
b'Simplify (l/(l**(-1)/l))**36/(l/((l*l**(-2/17))/l*l)*l/l**(-1/7))*l/(l/(l/(l**(-1/7)*l)))*l*l*l**3*((l/(l/l**0))/l*l)**(-22) assuming l is positive.\n' | b'l**(1902/17)\n' | b'Simplify (l/(l**(-1)/l))**36/(l/((l*l**(-2/17))/l*l)*l/l**(-1/7))*l/(l/(l/(l**(-1/7)*l)))*l*l*l**3*((l/(l/l**0))/l*l)**(-22) assuming l is positive.\n' | b'l**(1902/17)\n' | deepmind/math_dataset |
b'Simplify j*j**(1/7)*j*j*j**(-3)*(j*j/(j/(j**(2/5)/j)*j)*j)**(-24) assuming j is positive.\n' | b'j**(-331/35)\n' | b'Simplify j*j**(1/7)*j*j*j**(-3)*(j*j/(j/(j**(2/5)/j)*j)*j)**(-24) assuming j is positive.\n' | b'j**(-331/35)\n' | deepmind/math_dataset |
b'Simplify (w*w/(w*w**(-2))*(w**7/w)/w)/(w/(w/w**(-2/7))*w)**38 assuming w is positive.\n' | b'w**(-134/7)\n' | b'Simplify (w*w/(w*w**(-2))*(w**7/w)/w)/(w/(w/w**(-2/7))*w)**38 assuming w is positive.\n' | b'w**(-134/7)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from fffsfsff. Give prob of picking 2 f.\n' | b'15/28\n' | b'Two letters picked without replacement from fffsfsff. Give prob of picking 2 f.\n' | b'15/28\n' | deepmind/math_dataset |
b'Simplify ((s**(-40)*s/s**(-3)*s)/(s/(s**(-39)*s)*s**19))**(-44) assuming s is positive.\n' | b's**4092\n' | b'Simplify ((s**(-40)*s/s**(-3)*s)/(s/(s**(-39)*s)*s**19))**(-44) assuming s is positive.\n' | b's**4092\n' | deepmind/math_dataset |
b'Let s(i) = i**2 + 4*i. Let u(r) be the third derivative of -r**5/30 - r**4/6 - r**3/2 + 2*r**2. Let j be u(-2). Calculate s(j).\n' | b'-3\n' | b'Let s(i) = i**2 + 4*i. Let u(r) be the third derivative of -r**5/30 - r**4/6 - r**3/2 + 2*r**2. Let j be u(-2). Calculate s(j).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (o**13*o*o**7*o)/(o**(-9))**(-5) assuming o is positive.\n' | b'o**(-23)\n' | b'Simplify (o**13*o*o**7*o)/(o**(-9))**(-5) assuming o is positive.\n' | b'o**(-23)\n' | deepmind/math_dataset |
b'Let o be (-11)/(-33)*(-1)/((-1)/15). Solve -3*a = 3*k - 15 + 3, -2*a + 11 = o*k for k.\n' | b'1\n' | b'Let o be (-11)/(-33)*(-1)/((-1)/15). Solve -3*a = 3*k - 15 + 3, -2*a + 11 = o*k for k.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 h when three letters picked without replacement from {h: 5, y: 1, x: 8, e: 3, i: 1, s: 2}.\n' | b'1/114\n' | b'Calculate prob of picking 3 h when three letters picked without replacement from {h: 5, y: 1, x: 8, e: 3, i: 1, s: 2}.\n' | b'1/114\n' | deepmind/math_dataset |
b'Let b(z) = 2*z**2 - 3*z - 3. Let v be 5/4 - 6/24. Suppose 4*s - v + 13 = 0. Let c = 6 + s. Give b(c).\n' | b'6\n' | b'Let b(z) = 2*z**2 - 3*z - 3. Let v be 5/4 - 6/24. Suppose 4*s - v + 13 = 0. Let c = 6 + s. Give b(c).\n' | b'6\n' | deepmind/math_dataset |
b'What is prob of sequence oin when three letters picked without replacement from iyiycnoiioiisco?\n' | b'3/455\n' | b'What is prob of sequence oin when three letters picked without replacement from iyiycnoiioiisco?\n' | b'3/455\n' | deepmind/math_dataset |
b'Suppose -q = 3*q - 16, 4*q - 8 = -2*l. Let o(d) = 13*d + 13. Let f(s) = 6*s + 6. Let x(y) = l*o(y) + 9*f(y). What is the first derivative of x(h) wrt h?\n' | b'2\n' | b'Suppose -q = 3*q - 16, 4*q - 8 = -2*l. Let o(d) = 13*d + 13. Let f(s) = 6*s + 6. Let x(y) = l*o(y) + 9*f(y). What is the first derivative of x(h) wrt h?\n' | b'2\n' | deepmind/math_dataset |
b'Let p(n) = n**2 - 4*n - 1. Let j be 3 + 4 - (-3 - (-13 - -6)). Let t be 42/8 - (-1)/(-4). Suppose -q - t*o = -23, 2*q = -o + 7 + j. What is p(q)?\n' | b'-4\n' | b'Let p(n) = n**2 - 4*n - 1. Let j be 3 + 4 - (-3 - (-13 - -6)). Let t be 42/8 - (-1)/(-4). Suppose -q - t*o = -23, 2*q = -o + 7 + j. What is p(q)?\n' | b'-4\n' | deepmind/math_dataset |
b'Let m = -10 - -14. Suppose -m*s - 12 = -2*s. Let y(t) = 7*t**3 + 9*t**2 + 19*t + 1. Let u(o) = 4*o**3 + 4*o**2 + 10*o. Let a(j) = -5*u(j) + 3*y(j). Give a(s).\n' | b'-3\n' | b'Let m = -10 - -14. Suppose -m*s - 12 = -2*s. Let y(t) = 7*t**3 + 9*t**2 + 19*t + 1. Let u(o) = 4*o**3 + 4*o**2 + 10*o. Let a(j) = -5*u(j) + 3*y(j). Give a(s).\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 4*p - 3 = -4*b + 5, b = -4*p + 5. Suppose 0 = -24*t + 27*t - 6. Solve i = -t*f - 5, 5*i + f + 6 = -p for i.\n' | b'-1\n' | b'Suppose 4*p - 3 = -4*b + 5, b = -4*p + 5. Suppose 0 = -24*t + 27*t - 6. Solve i = -t*f - 5, 5*i + f + 6 = -p for i.\n' | b'-1\n' | deepmind/math_dataset |
b'Let x(w) = -w**3 - 22*w**2 + 37*w - 27. Let s be x(-24). What is the second derivative of 119*y + 116*y**4 + 112*y + 9 - s*y wrt y?\n' | b'1392*y**2\n' | b'Let x(w) = -w**3 - 22*w**2 + 37*w - 27. Let s be x(-24). What is the second derivative of 119*y + 116*y**4 + 112*y + 9 - s*y wrt y?\n' | b'1392*y**2\n' | deepmind/math_dataset |
b'Simplify (s**(1/4)*s*s*s**(-6)*s)/(s**6/s*((s*s**1)/s)/s) assuming s is positive.\n' | b's**(-31/4)\n' | b'Simplify (s**(1/4)*s*s*s**(-6)*s)/(s**6/s*((s*s**1)/s)/s) assuming s is positive.\n' | b's**(-31/4)\n' | deepmind/math_dataset |
b'Let w = 164 - 89. Suppose -j + w = 2*j. Suppose j*z - 26*z = -9. Solve 0 = -2*i + 6, 0 = 2*l - 5*i + 4 + z for l.\n' | b'1\n' | b'Let w = 164 - 89. Suppose -j + w = 2*j. Suppose j*z - 26*z = -9. Solve 0 = -2*i + 6, 0 = 2*l - 5*i + 4 + z for l.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify r**(1/3)*r/(r/(r*r**(-9/2)))*r assuming r is positive.\n' | b'r**(-13/6)\n' | b'Simplify r**(1/3)*r/(r/(r*r**(-9/2)))*r assuming r is positive.\n' | b'r**(-13/6)\n' | deepmind/math_dataset |
b'Simplify f*f*f*f**(8/3)*f*f*f**(1/27) assuming f is positive.\n' | b'f**(208/27)\n' | b'Simplify f*f*f*f**(8/3)*f*f*f**(1/27) assuming f is positive.\n' | b'f**(208/27)\n' | deepmind/math_dataset |
b'Simplify (((c*c/(c**1/c)*c)**(-17)/(c**6*((c*c**(-2/9)/c*c)/c)/c*c))**38)**(-35) assuming c is positive.\n' | b'c**(679630/9)\n' | b'Simplify (((c*c/(c**1/c)*c)**(-17)/(c**6*((c*c**(-2/9)/c*c)/c)/c*c))**38)**(-35) assuming c is positive.\n' | b'c**(679630/9)\n' | deepmind/math_dataset |
b'Let b = 9 + -4. Suppose 3*t - 4*z = b, t - 2*z = -z + 1. Let l(o) = -7*o**2 - 4*o + 5. Let j(m) = 6*m**2 + 5*m - 6. Let n(s) = 4*j(s) + 5*l(s). Determine n(t).\n' | b'-10\n' | b'Let b = 9 + -4. Suppose 3*t - 4*z = b, t - 2*z = -z + 1. Let l(o) = -7*o**2 - 4*o + 5. Let j(m) = 6*m**2 + 5*m - 6. Let n(s) = 4*j(s) + 5*l(s). Determine n(t).\n' | b'-10\n' | deepmind/math_dataset |
b'Suppose -2*j + 345 = 3*j - 5*q, 4*q - 214 = -3*j. Suppose 0*o = -2*o - j. Let z = -16 - o. Solve -5*b - 4*k + z = -2*k, 3*k - 6 = -3*b for b.\n' | b'5\n' | b'Suppose -2*j + 345 = 3*j - 5*q, 4*q - 214 = -3*j. Suppose 0*o = -2*o - j. Let z = -16 - o. Solve -5*b - 4*k + z = -2*k, 3*k - 6 = -3*b for b.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 0 = 5*k + 5 - 140. Let v(b) = -2 - 7 + k - 8*b + b**2. Let h be v(4). Solve 5*t = 20, 4*y - h*t + 8 = -0*y for y.\n' | b'0\n' | b'Suppose 0 = 5*k + 5 - 140. Let v(b) = -2 - 7 + k - 8*b + b**2. Let h be v(4). Solve 5*t = 20, 4*y - h*t + 8 = -0*y for y.\n' | b'0\n' | deepmind/math_dataset |
b'Let g(u) = 12*u**2 - 3*u**2 - 25 + 4423091*u - 4423093*u - u**3. Calculate g(8).\n' | b'23\n' | b'Let g(u) = 12*u**2 - 3*u**2 - 25 + 4423091*u - 4423093*u - u**3. Calculate g(8).\n' | b'23\n' | deepmind/math_dataset |
b'What is prob of picking 1 d, 1 s, and 1 t when three letters picked without replacement from kseketaddekedstdt?\n' | b'3/85\n' | b'What is prob of picking 1 d, 1 s, and 1 t when three letters picked without replacement from kseketaddekedstdt?\n' | b'3/85\n' | deepmind/math_dataset |
b'Simplify (i/(i**(-1)*i)*i*i)**(-2/5)/(((i*i*i/i**5)/i)/i*i/(i**2*i)) assuming i is positive.\n' | b'i**(24/5)\n' | b'Simplify (i/(i**(-1)*i)*i*i)**(-2/5)/(((i*i*i/i**5)/i)/i*i/(i**2*i)) assuming i is positive.\n' | b'i**(24/5)\n' | deepmind/math_dataset |
b'Simplify (l*l*(l/(l*l**(3/2)/l))/l*l*l**9/l)/(l**(-7)/(l**(1/3)/l)) assuming l is positive.\n' | b'l**(95/6)\n' | b'Simplify (l*l*(l/(l*l**(3/2)/l))/l*l*l**9/l)/(l**(-7)/(l**(1/3)/l)) assuming l is positive.\n' | b'l**(95/6)\n' | deepmind/math_dataset |
b'Let v = 32 - 18. Let z(d) = -d**3 + d**2 + 3*d - 3. Let k be z(0). Let b be 1/(-7)*k + 50/v. Solve -3*h + 26 = -5*h - 5*a, -2*a - 20 = b*h for h.\n' | b'-3\n' | b'Let v = 32 - 18. Let z(d) = -d**3 + d**2 + 3*d - 3. Let k be z(0). Let b be 1/(-7)*k + 50/v. Solve -3*h + 26 = -5*h - 5*a, -2*a - 20 = b*h for h.\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ogoogoooooooo. What is prob of picking 1 g and 3 o?\n' | b'6/13\n' | b'Four letters picked without replacement from ogoogoooooooo. What is prob of picking 1 g and 3 o?\n' | b'6/13\n' | deepmind/math_dataset |
b'Let j(a) = -a - 13. Suppose 99 = 2*c + 47. Suppose c = -28*b - 86. Give j(b).\n' | b'-9\n' | b'Let j(a) = -a - 13. Suppose 99 = 2*c + 47. Suppose c = -28*b - 86. Give j(b).\n' | b'-9\n' | deepmind/math_dataset |
b'What is prob of sequence oiio when four letters picked without replacement from {i: 5, o: 2}?\n' | b'1/21\n' | b'What is prob of sequence oiio when four letters picked without replacement from {i: 5, o: 2}?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let t(g) = -g**2 + 1. Suppose -2*o + 0*q + 28 = -2*q, -2*o + 28 = -3*q. Suppose -12*a = -o*a - 56. Let c = 28 + a. Determine t(c).\n' | b'1\n' | b'Let t(g) = -g**2 + 1. Suppose -2*o + 0*q + 28 = -2*q, -2*o + 28 = -3*q. Suppose -12*a = -o*a - 56. Let c = 28 + a. Determine t(c).\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {s: 6, v: 4}. What is prob of picking 4 v?\n' | b'1/210\n' | b'Four letters picked without replacement from {s: 6, v: 4}. What is prob of picking 4 v?\n' | b'1/210\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 v and 1 w when two letters picked without replacement from {d: 2, v: 1, w: 1, q: 2}.\n' | b'1/15\n' | b'Calculate prob of picking 1 v and 1 w when two letters picked without replacement from {d: 2, v: 1, w: 1, q: 2}.\n' | b'1/15\n' | deepmind/math_dataset |
b'Suppose -24*f + 39*f - 30 = 0. Solve f*i - 10 = -4*a, -4*i = -i - 5*a + 29 for i.\n' | b'-3\n' | b'Suppose -24*f + 39*f - 30 = 0. Solve f*i - 10 = -4*a, -4*i = -i - 5*a + 29 for i.\n' | b'-3\n' | deepmind/math_dataset |
b'Let y be 6/4*(42/(-18) + 5). Solve -5*j - 16 = 2*z - j, 0 = y*z - 4*j - 16 for z.\n' | b'0\n' | b'Let y be 6/4*(42/(-18) + 5). Solve -5*j - 16 = 2*z - j, 0 = y*z - 4*j - 16 for z.\n' | b'0\n' | deepmind/math_dataset |
b'Let k(r) be the third derivative of r**6/120 - r**5/15 - 7*r**4/24 + r**3 + 4*r**2. Determine k(5).\n' | b'-4\n' | b'Let k(r) be the third derivative of r**6/120 - r**5/15 - 7*r**4/24 + r**3 + 4*r**2. Determine k(5).\n' | b'-4\n' | deepmind/math_dataset |
b'Let a(m) = -41*m - 14. Let o(b) = 41*b + 12. Let c(l) = 3*a(l) + 2*o(l). Find the first derivative of c(v) wrt v.\n' | b'-41\n' | b'Let a(m) = -41*m - 14. Let o(b) = 41*b + 12. Let c(l) = 3*a(l) + 2*o(l). Find the first derivative of c(v) wrt v.\n' | b'-41\n' | deepmind/math_dataset |
b'Let y(z) = 60*z + 38. Let i(u) = -11*u - 8. Let h(x) = -11*i(x) - 2*y(x). Let k(t) = t - 2. Let d be k(2). What is h(d)?\n' | b'12\n' | b'Let y(z) = 60*z + 38. Let i(u) = -11*u - 8. Let h(x) = -11*i(x) - 2*y(x). Let k(t) = t - 2. Let d be k(2). What is h(d)?\n' | b'12\n' | deepmind/math_dataset |
b'Let l(n) be the third derivative of -n**7/2520 - n**6/360 - n**5/30 - 2*n**4/3 + 8*n**2. Let b(y) be the second derivative of l(y). Calculate b(-3).\n' | b'-7\n' | b'Let l(n) be the third derivative of -n**7/2520 - n**6/360 - n**5/30 - 2*n**4/3 + 8*n**2. Let b(y) be the second derivative of l(y). Calculate b(-3).\n' | b'-7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 4, y: 2, n: 4, v: 2, r: 1, g: 6}. What is prob of sequence nvya?\n' | b'2/2907\n' | b'Four letters picked without replacement from {a: 4, y: 2, n: 4, v: 2, r: 1, g: 6}. What is prob of sequence nvya?\n' | b'2/2907\n' | deepmind/math_dataset |
b'Let x(l) = l - 5. Let t(p) = -p**2 - 21*p + 35. Let u be t(-23). What is x(u)?\n' | b'-16\n' | b'Let x(l) = l - 5. Let t(p) = -p**2 - 21*p + 35. Let u be t(-23). What is x(u)?\n' | b'-16\n' | deepmind/math_dataset |
b'Simplify (((c**(-4)*c)/((c/(c**(-7/2)/c))/c))**(-19))**(-8/5) assuming c is positive.\n' | b'c**(-228)\n' | b'Simplify (((c**(-4)*c)/((c/(c**(-7/2)/c))/c))**(-19))**(-8/5) assuming c is positive.\n' | b'c**(-228)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from pslsslsslpsssss. What is prob of sequence pl?\n' | b'1/35\n' | b'Two letters picked without replacement from pslsslsslpsssss. What is prob of sequence pl?\n' | b'1/35\n' | deepmind/math_dataset |
b'Suppose 5*h - 6*u - 63 = -2*u, 0 = 2*u - 6. Solve 0*j + 2*j + 5*d + h = 0, 3*j = -3*d for j.\n' | b'5\n' | b'Suppose 5*h - 6*u - 63 = -2*u, 0 = 2*u - 6. Solve 0*j + 2*j + 5*d + h = 0, 3*j = -3*d for j.\n' | b'5\n' | deepmind/math_dataset |
b'Let g(q) = 174*q**2 - 76. Let b(j) = -87*j**2 + 39. Let n(m) = -7*b(m) - 4*g(m). Find the first derivative of n(k) wrt k.\n' | b'-174*k\n' | b'Let g(q) = 174*q**2 - 76. Let b(j) = -87*j**2 + 39. Let n(m) = -7*b(m) - 4*g(m). Find the first derivative of n(k) wrt k.\n' | b'-174*k\n' | deepmind/math_dataset |
b'Simplify ((u/u**(-4/7)*u)/(u/(u**(-4/5)*u*u)))**29 assuming u is positive.\n' | b'u**(2813/35)\n' | b'Simplify ((u/u**(-4/7)*u)/(u/(u**(-4/5)*u*u)))**29 assuming u is positive.\n' | b'u**(2813/35)\n' | deepmind/math_dataset |
b'Let p be (-44)/33*(1 - (-39)/(-12)). Solve -3*w = w - 3*r + 1, p*w - 18 = -4*r for w.\n' | b'2\n' | b'Let p be (-44)/33*(1 - (-39)/(-12)). Solve -3*w = w - 3*r + 1, p*w - 18 = -4*r for w.\n' | b'2\n' | deepmind/math_dataset |
b'Let b be (6/18)/(3/423). Let x = 43 - b. Let l(j) = j**3 + 5*j**2 + 5*j + 4. Give l(x).\n' | b'0\n' | b'Let b be (6/18)/(3/423). Let x = 43 - b. Let l(j) = j**3 + 5*j**2 + 5*j + 4. Give l(x).\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (h**(-19))**3/(h**(1/21)*h**11) assuming h is positive.\n' | b'h**(-1429/21)\n' | b'Simplify (h**(-19))**3/(h**(1/21)*h**11) assuming h is positive.\n' | b'h**(-1429/21)\n' | deepmind/math_dataset |
b'Suppose 5*k + 5*j = 55, -3*j + 2 = -j. Suppose 5*q + 10 = -5*u - k, -q + 5*u + 20 = 0. Let r(i) = 1 + i**2 - 2*i**2 + q*i**2 + 3*i. What is r(4)?\n' | b'-3\n' | b'Suppose 5*k + 5*j = 55, -3*j + 2 = -j. Suppose 5*q + 10 = -5*u - k, -q + 5*u + 20 = 0. Let r(i) = 1 + i**2 - 2*i**2 + q*i**2 + 3*i. What is r(4)?\n' | b'-3\n' | deepmind/math_dataset |
b'Let n(s) be the first derivative of -2/3*s**3 - 16*s + 216 + 0*s**4 + 0*s**2 - 122/5*s**5. What is the third derivative of n(v) wrt v?\n' | b'-2928*v\n' | b'Let n(s) be the first derivative of -2/3*s**3 - 16*s + 216 + 0*s**4 + 0*s**2 - 122/5*s**5. What is the third derivative of n(v) wrt v?\n' | b'-2928*v\n' | deepmind/math_dataset |
b'Let b be (-112)/3 + (-24)/36. Let w = 25 + b. Let q be 8/(-48) - w/6. Solve 2*k = -2*c, -5*c - k - q = 3*k for c.\n' | b'-2\n' | b'Let b be (-112)/3 + (-24)/36. Let w = 25 + b. Let q be 8/(-48) - w/6. Solve 2*k = -2*c, -5*c - k - q = 3*k for c.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from iieieieyyp. Give prob of picking 2 e.\n' | b'1/15\n' | b'Two letters picked without replacement from iieieieyyp. Give prob of picking 2 e.\n' | b'1/15\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {p: 2, v: 1, k: 1, j: 2, z: 8}. What is prob of sequence ppjj?\n' | b'1/6006\n' | b'Four letters picked without replacement from {p: 2, v: 1, k: 1, j: 2, z: 8}. What is prob of sequence ppjj?\n' | b'1/6006\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 c and 2 m when four letters picked without replacement from mmmccmcccmccccccmcc.\n' | b'195/646\n' | b'Calculate prob of picking 2 c and 2 m when four letters picked without replacement from mmmccmcccmccccccmcc.\n' | b'195/646\n' | deepmind/math_dataset |
b'Let l(a) be the first derivative of 0*a - 4*a**2 + 5 + 8/3*a**3. Find the second derivative of l(u) wrt u.\n' | b'16\n' | b'Let l(a) be the first derivative of 0*a - 4*a**2 + 5 + 8/3*a**3. Find the second derivative of l(u) wrt u.\n' | b'16\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 o and 2 u when three letters picked without replacement from buuuuuouudduuuu.\n' | b'11/91\n' | b'Calculate prob of picking 1 o and 2 u when three letters picked without replacement from buuuuuouudduuuu.\n' | b'11/91\n' | deepmind/math_dataset |
b'Simplify (b**6*b*b**(-2/9))/(((b/(b/((b/((b/(b*b**4)*b)/b))/b)))/b)/b**(-2/3)) assuming b is positive.\n' | b'b**(28/9)\n' | b'Simplify (b**6*b*b**(-2/9))/(((b/(b/((b/((b/(b*b**4)*b)/b))/b)))/b)/b**(-2/3)) assuming b is positive.\n' | b'b**(28/9)\n' | deepmind/math_dataset |
b'What is prob of picking 2 a, 1 v, and 1 x when four letters picked without replacement from aaaaavavaxvxaaaavav?\n' | b'55/323\n' | b'What is prob of picking 2 a, 1 v, and 1 x when four letters picked without replacement from aaaaavavaxvxaaaavav?\n' | b'55/323\n' | deepmind/math_dataset |
b'Simplify (b**11/b**(-5/7))/((b/(b*b*b**(-2/7)))/(b*b**(1/19)/b)) assuming b is positive.\n' | b'b**(1660/133)\n' | b'Simplify (b**11/b**(-5/7))/((b/(b*b*b**(-2/7)))/(b*b**(1/19)/b)) assuming b is positive.\n' | b'b**(1660/133)\n' | deepmind/math_dataset |
b'Simplify ((x**7*x*x**(-4/9))/(x*x**(-2/3)*x**(-3/7)))**(14/13) assuming x is positive.\n' | b'x**(964/117)\n' | b'Simplify ((x**7*x*x**(-4/9))/(x*x**(-2/3)*x**(-3/7)))**(14/13) assuming x is positive.\n' | b'x**(964/117)\n' | deepmind/math_dataset |
b'Let h(b) = 21*b**5 + 7*b**3 - 19*b**2. Let k(g) = -10*g**5 - 3*g**3 + 10*g**2. Let j(z) = -3*h(z) - 7*k(z). Find the third derivative of j(d) wrt d.\n' | b'420*d**2\n' | b'Let h(b) = 21*b**5 + 7*b**3 - 19*b**2. Let k(g) = -10*g**5 - 3*g**3 + 10*g**2. Let j(z) = -3*h(z) - 7*k(z). Find the third derivative of j(d) wrt d.\n' | b'420*d**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 g and 1 u when two letters picked without replacement from {g: 1, l: 1, u: 2, a: 1}.\n' | b'1/5\n' | b'Calculate prob of picking 1 g and 1 u when two letters picked without replacement from {g: 1, l: 1, u: 2, a: 1}.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let l = 6562 - 6558. Solve 2*m = -l*j + 16, 4*m = -9*j + 5*j + 12 for m.\n' | b'-2\n' | b'Let l = 6562 - 6558. Solve 2*m = -l*j + 16, 4*m = -9*j + 5*j + 12 for m.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((v**(-2/47)/(v*v**(2/21)))**(-1/12))**(-1/32) assuming v is positive.\n' | b'v**(-1123/379008)\n' | b'Simplify ((v**(-2/47)/(v*v**(2/21)))**(-1/12))**(-1/32) assuming v is positive.\n' | b'v**(-1123/379008)\n' | deepmind/math_dataset |
b'Let k(u) = 10*u - 56. Let t be k(6). Suppose -3*z = -q + 11, -4*q - z = -3*z - t. Let v(a) = -33*a - 1. Determine v(q).\n' | b'32\n' | b'Let k(u) = 10*u - 56. Let t be k(6). Suppose -3*z = -q + 11, -4*q - z = -3*z - t. Let v(a) = -33*a - 1. Determine v(q).\n' | b'32\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 4, z: 2}. What is prob of sequence ss?\n' | b'2/5\n' | b'Two letters picked without replacement from {s: 4, z: 2}. What is prob of sequence ss?\n' | b'2/5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 1, w: 7, d: 1, f: 6}. Give prob of sequence dh.\n' | b'1/210\n' | b'Two letters picked without replacement from {h: 1, w: 7, d: 1, f: 6}. Give prob of sequence dh.\n' | b'1/210\n' | deepmind/math_dataset |
b'Let q(v) = -v**3 - 2*v**2 + 7*v + 8. Let t be q(-4). Solve -y + p - t = 2*y, 9 = -3*p for y.\n' | b'-5\n' | b'Let q(v) = -v**3 - 2*v**2 + 7*v + 8. Let t be q(-4). Solve -y + p - t = 2*y, 9 = -3*p for y.\n' | b'-5\n' | deepmind/math_dataset |
b'Let x(b) = -8*b**2 + 25*b**2 - 2*b**2 + 1 - 3*b**2 - 2*b. Give x(1).\n' | b'11\n' | b'Let x(b) = -8*b**2 + 25*b**2 - 2*b**2 + 1 - 3*b**2 - 2*b. Give x(1).\n' | b'11\n' | deepmind/math_dataset |
b'What is the second derivative of -79*c**2 + 71*c**2 - 9*c + 0*c wrt c?\n' | b'-16\n' | b'What is the second derivative of -79*c**2 + 71*c**2 - 9*c + 0*c wrt c?\n' | b'-16\n' | deepmind/math_dataset |
b'Four letters picked without replacement from vsssvvmsvvpsvgfmv. Give prob of sequence fsmg.\n' | b'1/5712\n' | b'Four letters picked without replacement from vsssvvmsvvpsvgfmv. Give prob of sequence fsmg.\n' | b'1/5712\n' | deepmind/math_dataset |
b'What is prob of picking 1 b and 2 p when three letters picked without replacement from {a: 1, p: 3, g: 1, b: 6, v: 4}?\n' | b'18/455\n' | b'What is prob of picking 1 b and 2 p when three letters picked without replacement from {a: 1, p: 3, g: 1, b: 6, v: 4}?\n' | b'18/455\n' | deepmind/math_dataset |
b'Suppose 18 = 3*u - 3*a, -u = 2*a + 3 - 9. What is the third derivative of -54*y**u + 70*y**6 + 6*y**2 + 7*y**2 wrt y?\n' | b'1920*y**3\n' | b'Suppose 18 = 3*u - 3*a, -u = 2*a + 3 - 9. What is the third derivative of -54*y**u + 70*y**6 + 6*y**2 + 7*y**2 wrt y?\n' | b'1920*y**3\n' | deepmind/math_dataset |
b'Let f be 36/21 - (-2)/7. Let z(i) = -i + 1. Suppose -2*r + r = 5. Let k be z(r). Solve 4*d + 32 = j + 8, -k = f*d + j for d.\n' | b'-5\n' | b'Let f be 36/21 - (-2)/7. Let z(i) = -i + 1. Suppose -2*r + r = 5. Let k be z(r). Solve 4*d + 32 = j + 8, -k = f*d + j for d.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((((s*(s/(s**(-6)/s))/s)**19)**(3/5))**(2/7))**48 assuming s is positive.\n' | b's**(43776/35)\n' | b'Simplify ((((s*(s/(s**(-6)/s))/s)**19)**(3/5))**(2/7))**48 assuming s is positive.\n' | b's**(43776/35)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {d: 1, e: 3, y: 1, h: 2, w: 4, f: 4}. Give prob of picking 1 y, 1 d, and 1 f.\n' | b'4/455\n' | b'Three letters picked without replacement from {d: 1, e: 3, y: 1, h: 2, w: 4, f: 4}. Give prob of picking 1 y, 1 d, and 1 f.\n' | b'4/455\n' | deepmind/math_dataset |
b'Suppose -o - 7 = -2*k, -o = 5*k + 10 - 17. Solve 4*w = -5*m - 35, k*w + 0*w = 5*m + 5 for w.\n' | b'-5\n' | b'Suppose -o - 7 = -2*k, -o = 5*k + 10 - 17. Solve 4*w = -5*m - 35, k*w + 0*w = 5*m + 5 for w.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of sequence qd when two letters picked without replacement from qtttd.\n' | b'1/20\n' | b'Calculate prob of sequence qd when two letters picked without replacement from qtttd.\n' | b'1/20\n' | deepmind/math_dataset |
b'Let q = -76 + 81. Suppose 0 = -2*t - q*s + 31, -s = 2*t + 8 - 35. Suppose 8 + 2 = -2*z, 2*z + t = l. Solve -l*h = 3, 4*g + 2 = g - 5*h for g.\n' | b'1\n' | b'Let q = -76 + 81. Suppose 0 = -2*t - q*s + 31, -s = 2*t + 8 - 35. Suppose 8 + 2 = -2*z, 2*z + t = l. Solve -l*h = 3, 4*g + 2 = g - 5*h for g.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 1 a and 1 o when two letters picked without replacement from azoeozsssrzs?\n' | b'1/33\n' | b'What is prob of picking 1 a and 1 o when two letters picked without replacement from azoeozsssrzs?\n' | b'1/33\n' | deepmind/math_dataset |
b'Simplify (j*j*(j/(j/j**(-2/9)))/j*j*j*j)**42/(j/(j**4*j)*j**26) assuming j is positive.\n' | b'j**(410/3)\n' | b'Simplify (j*j*(j/(j/j**(-2/9)))/j*j*j*j)**42/(j/(j**4*j)*j**26) assuming j is positive.\n' | b'j**(410/3)\n' | deepmind/math_dataset |
b'Suppose 0 = b - 2*b + 5. Let r(u) = -u + 9. Let i be r(b). Solve -h = 5*m + 6, i*h + 6 = 2*m - 4*m for m.\n' | b'-1\n' | b'Suppose 0 = b - 2*b + 5. Let r(u) = -u + 9. Let i be r(b). Solve -h = 5*m + 6, i*h + 6 = 2*m - 4*m for m.\n' | b'-1\n' | deepmind/math_dataset |
b'Let u be 5 + -2 - (-1 - -2). Suppose 3*o = -4*h - 156 - 1280, -h = 2*o + 364. Let l = 372 + h. Solve f + 3*j + 14 = 0, 5*f - u*j + l = j for f.\n' | b'-5\n' | b'Let u be 5 + -2 - (-1 - -2). Suppose 3*o = -4*h - 156 - 1280, -h = 2*o + 364. Let l = 372 + h. Solve f + 3*j + 14 = 0, 5*f - u*j + l = j for f.\n' | b'-5\n' | deepmind/math_dataset |
b'Let v(l) = l + 21. Let k be v(-18). Solve 0 = 3*j - 6*j + u + 2, -j - 2*u + k = 0 for j.\n' | b'1\n' | b'Let v(l) = l + 21. Let k be v(-18). Solve 0 = 3*j - 6*j + u + 2, -j - 2*u + k = 0 for j.\n' | b'1\n' | deepmind/math_dataset |
b'Let j(o) = 4*o - 7. Let x be j(3). Suppose -x - 43 = -3*f. Solve c = -t - 4*c - 9, -3*t - 4*c = f for t.\n' | b'-4\n' | b'Let j(o) = 4*o - 7. Let x be j(3). Suppose -x - 43 = -3*f. Solve c = -t - 4*c - 9, -3*t - 4*c = f for t.\n' | b'-4\n' | deepmind/math_dataset |
b'Let q be 1/(4/32*4). Suppose 0 = -2*c - 4, c - 4*c = q*i + 4. Let g be ((-4)/2)/(i/(-3)). Let l(m) = -m + 10. Give l(g).\n' | b'4\n' | b'Let q be 1/(4/32*4). Suppose 0 = -2*c - 4, c - 4*c = q*i + 4. Let g be ((-4)/2)/(i/(-3)). Let l(m) = -m + 10. Give l(g).\n' | b'4\n' | deepmind/math_dataset |
b'Let k(c) be the third derivative of -17*c**9/126 + c**7/105 + c**5/10 + c**3/3 + 65*c**2. What is the third derivative of k(z) wrt z?\n' | b'-8160*z**3 + 48*z\n' | b'Let k(c) be the third derivative of -17*c**9/126 + c**7/105 + c**5/10 + c**3/3 + 65*c**2. What is the third derivative of k(z) wrt z?\n' | b'-8160*z**3 + 48*z\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 3, c: 4, k: 1, j: 2, p: 2, n: 3}. Give prob of picking 2 n, 1 v, and 1 p.\n' | b'6/455\n' | b'Four letters picked without replacement from {v: 3, c: 4, k: 1, j: 2, p: 2, n: 3}. Give prob of picking 2 n, 1 v, and 1 p.\n' | b'6/455\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 1, f: 4, i: 3, y: 5, n: 1}. Give prob of picking 1 q and 1 n.\n' | b'1/91\n' | b'Two letters picked without replacement from {q: 1, f: 4, i: 3, y: 5, n: 1}. Give prob of picking 1 q and 1 n.\n' | b'1/91\n' | deepmind/math_dataset |
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