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'What is prob of sequence pq when two letters picked without replacement from {y: 2, q: 2, p: 2}?\n' | b'2/15\n' | b'What is prob of sequence pq when two letters picked without replacement from {y: 2, q: 2, p: 2}?\n' | b'2/15\n' | deepmind/math_dataset |
b'Let a(p) = 20*p - 165. Let u be a(8). Let j(w) = 3*w**2 + 4*w**2 - 2 - 6*w**2 + 4*w. Give j(u).\n' | b'3\n' | b'Let a(p) = 20*p - 165. Let u be a(8). Let j(w) = 3*w**2 + 4*w**2 - 2 - 6*w**2 + 4*w. Give j(u).\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of picking 2 u when two letters picked without replacement from uduudddd?\n' | b'3/28\n' | b'What is prob of picking 2 u when two letters picked without replacement from uduudddd?\n' | b'3/28\n' | deepmind/math_dataset |
b'Let b be -1*0/(-7 - -3). Suppose 4*g = 2*p + 18, -g = -3*g - 3*p + 21. Solve 3*d + k = 4*k - g, -4*k = b for d.\n' | b'-2\n' | b'Let b be -1*0/(-7 - -3). Suppose 4*g = 2*p + 18, -g = -3*g - 3*p + 21. Solve 3*d + k = 4*k - g, -4*k = b for d.\n' | b'-2\n' | deepmind/math_dataset |
b'Let c(m) = -m**3 + 6*m**2 - 4*m. Let o = -180 + 188. Suppose o = 16*k - 56. Calculate c(k).\n' | b'16\n' | b'Let c(m) = -m**3 + 6*m**2 - 4*m. Let o = -180 + 188. Suppose o = 16*k - 56. Calculate c(k).\n' | b'16\n' | deepmind/math_dataset |
b'Let q be 28/2 - 3/(-1). Let r = q + -14. Solve -5*g = -r*c - 6, 4*g = 3*c + 2*g + 6 for c.\n' | b'-2\n' | b'Let q be 28/2 - 3/(-1). Let r = q + -14. Solve -5*g = -r*c - 6, 4*g = 3*c + 2*g + 6 for c.\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 2, o: 1, d: 6, b: 5, h: 3}. What is prob of picking 1 h and 2 d?\n' | b'9/136\n' | b'Three letters picked without replacement from {t: 2, o: 1, d: 6, b: 5, h: 3}. What is prob of picking 1 h and 2 d?\n' | b'9/136\n' | deepmind/math_dataset |
b'Simplify ((w/(w*w/((w/w**(-27))/w)))/(w*w**(-31)))/(((w/w**2)/w)/((w**(12/11)/w)/w)) assuming w is positive.\n' | b'w**(628/11)\n' | b'Simplify ((w/(w*w/((w/w**(-27))/w)))/(w*w**(-31)))/(((w/w**2)/w)/((w**(12/11)/w)/w)) assuming w is positive.\n' | b'w**(628/11)\n' | deepmind/math_dataset |
b'Let i(o) be the first derivative of -5*o**2/2 - 32*o - 13. Let p be i(-7). Solve 0 = 4*v + 4*l - 20, -v - l + p = -2*l for v.\n' | b'4\n' | b'Let i(o) be the first derivative of -5*o**2/2 - 32*o - 13. Let p be i(-7). Solve 0 = 4*v + 4*l - 20, -v - l + p = -2*l for v.\n' | b'4\n' | deepmind/math_dataset |
b'Let y(p) be the third derivative of p**6/30 - 3*p**5/10 + 7*p**4/2 + 253*p**2. Find the second derivative of y(j) wrt j.\n' | b'24*j - 36\n' | b'Let y(p) be the third derivative of p**6/30 - 3*p**5/10 + 7*p**4/2 + 253*p**2. Find the second derivative of y(j) wrt j.\n' | b'24*j - 36\n' | deepmind/math_dataset |
b'Simplify a**(-21)/a*a*a**(3/11) assuming a is positive.\n' | b'a**(-228/11)\n' | b'Simplify a**(-21)/a*a*a**(3/11) assuming a is positive.\n' | b'a**(-228/11)\n' | deepmind/math_dataset |
b'Simplify (w/(w*w/w**29)*w)**(-21) assuming w is positive.\n' | b'w**(-609)\n' | b'Simplify (w/(w*w/w**29)*w)**(-21) assuming w is positive.\n' | b'w**(-609)\n' | deepmind/math_dataset |
b'Simplify ((g**(-8)/g**(7/3)*((g*g**(-2))/g)**43)**(12/19))**(4/21) assuming g is positive.\n' | b'g**(-4624/399)\n' | b'Simplify ((g**(-8)/g**(7/3)*((g*g**(-2))/g)**43)**(12/19))**(4/21) assuming g is positive.\n' | b'g**(-4624/399)\n' | deepmind/math_dataset |
b'Let x(d) = 3*d - 2. Let b(c) = c**2 - 9*c + 6. Let o be b(9). Give x(o).\n' | b'16\n' | b'Let x(d) = 3*d - 2. Let b(c) = c**2 - 9*c + 6. Let o be b(9). Give x(o).\n' | b'16\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 o when two letters picked without replacement from oopopp.\n' | b'1/5\n' | b'Calculate prob of picking 2 o when two letters picked without replacement from oopopp.\n' | b'1/5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 2, s: 2, n: 3, h: 6}. What is prob of sequence nnk?\n' | b'1/143\n' | b'Three letters picked without replacement from {k: 2, s: 2, n: 3, h: 6}. What is prob of sequence nnk?\n' | b'1/143\n' | deepmind/math_dataset |
b'Let c(m) = -3*m**3 - 231*m**2 + 110*m**2 + 121*m**2 + m - 1. Give c(1).\n' | b'-3\n' | b'Let c(m) = -3*m**3 - 231*m**2 + 110*m**2 + 121*m**2 + m - 1. Give c(1).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (s*s*s**25)**(2/65) assuming s is positive.\n' | b's**(54/65)\n' | b'Simplify (s*s*s**25)**(2/65) assuming s is positive.\n' | b's**(54/65)\n' | deepmind/math_dataset |
b'What is prob of sequence my when two letters picked without replacement from {f: 2, m: 1, y: 7}?\n' | b'7/90\n' | b'What is prob of sequence my when two letters picked without replacement from {f: 2, m: 1, y: 7}?\n' | b'7/90\n' | deepmind/math_dataset |
b'Let b = -9593 - -9598. Solve 23*t = 27*t + 5*v + b, -v - 15 = -2*t for t.\n' | b'5\n' | b'Let b = -9593 - -9598. Solve 23*t = 27*t + 5*v + b, -v - 15 = -2*t for t.\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 6, y: 3, i: 1, w: 3}. Give prob of sequence iy.\n' | b'1/52\n' | b'Two letters picked without replacement from {p: 6, y: 3, i: 1, w: 3}. Give prob of sequence iy.\n' | b'1/52\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ttttkttkttkkk. What is prob of sequence tt?\n' | b'14/39\n' | b'Two letters picked without replacement from ttttkttkttkkk. What is prob of sequence tt?\n' | b'14/39\n' | deepmind/math_dataset |
b'Let o be (-21)/((-43)/26 - (-6)/39). Solve 4*v - 10*b = -12*b, -3*v + 2*b - o = 0 for v.\n' | b'-2\n' | b'Let o be (-21)/((-43)/26 - (-6)/39). Solve 4*v - 10*b = -12*b, -3*v + 2*b - o = 0 for v.\n' | b'-2\n' | deepmind/math_dataset |
b'Let r = 313 - 270. Suppose -x + 12 = 4*m - 49, 2*m + 3*x = r. Let t(i) = i**2 - 13*i - 11. Calculate t(m).\n' | b'3\n' | b'Let r = 313 - 270. Suppose -x + 12 = 4*m - 49, 2*m + 3*x = r. Let t(i) = i**2 - 13*i - 11. Calculate t(m).\n' | b'3\n' | deepmind/math_dataset |
b'Let s = -29 - -43. Suppose 2*u + x + s = 45, u - 23 = x. Solve -p = 4*w - u, 3*p - 20 = -p - 3*w for p.\n' | b'2\n' | b'Let s = -29 - -43. Suppose 2*u + x + s = 45, u - 23 = x. Solve -p = 4*w - u, 3*p - 20 = -p - 3*w for p.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -52 = -8*l + 4*l. Let r(p) be the first derivative of 13 - p**2 - l + 6 + 2*p + p. Give r(3).\n' | b'-3\n' | b'Suppose -52 = -8*l + 4*l. Let r(p) be the first derivative of 13 - p**2 - l + 6 + 2*p + p. Give r(3).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((a*a**(-8))/a)**(-24/5)*a**(-25)/(a*(((a**(-1/20)*a)/a)/a)/a) assuming a is positive.\n' | b'a**(289/20)\n' | b'Simplify ((a*a**(-8))/a)**(-24/5)*a**(-25)/(a*(((a**(-1/20)*a)/a)/a)/a) assuming a is positive.\n' | b'a**(289/20)\n' | deepmind/math_dataset |
b'Simplify (((g/g**(19/3))/g**(5/6))/(g**(-2/5)*g)**(-10))**(-3) assuming g is positive.\n' | b'sqrt(g)\n' | b'Simplify (((g/g**(19/3))/g**(5/6))/(g**(-2/5)*g)**(-10))**(-3) assuming g is positive.\n' | b'sqrt(g)\n' | deepmind/math_dataset |
b'Let t(j) = 1. Let o(w) = w**2 + 8*w - 4. Let n(k) = -o(k) - 4*t(k). Give n(-6).\n' | b'12\n' | b'Let t(j) = 1. Let o(w) = w**2 + 8*w - 4. Let n(k) = -o(k) - 4*t(k). Give n(-6).\n' | b'12\n' | deepmind/math_dataset |
b'Let d be (5 - (-210)/(-56))/(1/4). Solve -2*j - 2 = 3*k, 5*k - 4*j = j + d for k.\n' | b'0\n' | b'Let d be (5 - (-210)/(-56))/(1/4). Solve -2*j - 2 = 3*k, 5*k - 4*j = j + d for k.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -2*d + 20 = 8*d. Solve 5*g - d*g - 28 = -5*y, g = -5*y + 26 for y.\n' | b'5\n' | b'Suppose -2*d + 20 = 8*d. Solve 5*g - d*g - 28 = -5*y, g = -5*y + 26 for y.\n' | b'5\n' | deepmind/math_dataset |
b'Let h(t) = 2*t**3 - 8*t**2 + 4. Let j be h(4). Differentiate 11*i**4 - 6 - 3*i**j - 2 wrt i.\n' | b'32*i**3\n' | b'Let h(t) = 2*t**3 - 8*t**2 + 4. Let j be h(4). Differentiate 11*i**4 - 6 - 3*i**j - 2 wrt i.\n' | b'32*i**3\n' | deepmind/math_dataset |
b'Suppose -30*k + 32*k = -2*o - 2, -4*o - 12 = 0. Let p = 7 - 4. What is the third derivative of p*u**k - 8*u**6 - 776 - 14*u**6 + 776 wrt u?\n' | b'-2640*u**3\n' | b'Suppose -30*k + 32*k = -2*o - 2, -4*o - 12 = 0. Let p = 7 - 4. What is the third derivative of p*u**k - 8*u**6 - 776 - 14*u**6 + 776 wrt u?\n' | b'-2640*u**3\n' | deepmind/math_dataset |
b'Simplify ((q*q**(-6))/(q/(q**10/q)))/(q*q/(q/(((q*q**1/q*q)/q*q)/q)))**(12/13) assuming q is positive.\n' | b'q**(15/13)\n' | b'Simplify ((q*q**(-6))/(q/(q**10/q)))/(q*q/(q/(((q*q**1/q*q)/q*q)/q)))**(12/13) assuming q is positive.\n' | b'q**(15/13)\n' | deepmind/math_dataset |
b'Let z = 8 - 8. Suppose 0 = -i + 2 - z. Solve 0 = 2*x + i*r + 2, 16 = 2*x - 2*r + 2 for x.\n' | b'3\n' | b'Let z = 8 - 8. Suppose 0 = -i + 2 - z. Solve 0 = 2*x + i*r + 2, 16 = 2*x - 2*r + 2 for x.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -4*b = c - 149, 2*b + c = 4*c + 71. Let k = b - 43. Let r be (-2)/(k/9) - 1. Solve -4*t = 0, 0 = -r*q + q - 5*t for q.\n' | b'0\n' | b'Suppose -4*b = c - 149, 2*b + c = 4*c + 71. Let k = b - 43. Let r be (-2)/(k/9) - 1. Solve -4*t = 0, 0 = -r*q + q - 5*t for q.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (w/(w/((w/(w**(-4)/w))/w)))**(-1/59) assuming w is positive.\n' | b'w**(-5/59)\n' | b'Simplify (w/(w/((w/(w**(-4)/w))/w)))**(-1/59) assuming w is positive.\n' | b'w**(-5/59)\n' | deepmind/math_dataset |
b'Let p(b) = b**3 - 5*b**2 - 4*b - 6. Suppose 4*t - 9 = -5*i - 0, -4*i + 6 = 3*t. What is p(t)?\n' | b'6\n' | b'Let p(b) = b**3 - 5*b**2 - 4*b - 6. Suppose 4*t - 9 = -5*i - 0, -4*i + 6 = 3*t. What is p(t)?\n' | b'6\n' | deepmind/math_dataset |
b'Let j(k) = -24*k**2 + 8*k + 16. Let p(t) = 16*t**2 - 5*t - 11. Let i(d) = 5*j(d) + 8*p(d). What is the derivative of i(o) wrt o?\n' | b'16*o\n' | b'Let j(k) = -24*k**2 + 8*k + 16. Let p(t) = 16*t**2 - 5*t - 11. Let i(d) = 5*j(d) + 8*p(d). What is the derivative of i(o) wrt o?\n' | b'16*o\n' | deepmind/math_dataset |
b'Let f be (-3 + 1)*(-4)/12. Let r(t) be the third derivative of -f*t**3 + 7/60*t**5 - 1/120*t**6 + 2*t**2 + 0*t - 5/24*t**4 + 0. What is r(6)?\n' | b'2\n' | b'Let f be (-3 + 1)*(-4)/12. Let r(t) be the third derivative of -f*t**3 + 7/60*t**5 - 1/120*t**6 + 2*t**2 + 0*t - 5/24*t**4 + 0. What is r(6)?\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (c**(-2)*c*c)**30/(((c*c/((c**2/c)/c)*c*c)/c)/c)**(-2/3) assuming c is positive.\n' | b'c**(4/3)\n' | b'Simplify (c**(-2)*c*c)**30/(((c*c/((c**2/c)/c)*c*c)/c)/c)**(-2/3) assuming c is positive.\n' | b'c**(4/3)\n' | deepmind/math_dataset |
b'Suppose 14*c - 10*c - 24 = 0. Let o be c/(-27) - (48/27 - 1). Let q(u) = -3*u**3 + 2*u**2 + 2*u + 1. Calculate q(o).\n' | b'4\n' | b'Suppose 14*c - 10*c - 24 = 0. Let o be c/(-27) - (48/27 - 1). Let q(u) = -3*u**3 + 2*u**2 + 2*u + 1. Calculate q(o).\n' | b'4\n' | deepmind/math_dataset |
b'What is the third derivative of -6*q**2 + 8*q**2 + 605606*q**5 - 611443*q**5 - q - 124 wrt q?\n' | b'-350220*q**2\n' | b'What is the third derivative of -6*q**2 + 8*q**2 + 605606*q**5 - 611443*q**5 - q - 124 wrt q?\n' | b'-350220*q**2\n' | deepmind/math_dataset |
b'Simplify (w**(-3/13)/w*w*w*w*w**(2/25))/((w/(w**(-2/7)*w))/(w/(w/w**15*w*w))) assuming w is positive.\n' | b'w**(33132/2275)\n' | b'Simplify (w**(-3/13)/w*w*w*w*w**(2/25))/((w/(w**(-2/7)*w))/(w/(w/w**15*w*w))) assuming w is positive.\n' | b'w**(33132/2275)\n' | deepmind/math_dataset |
b'What is prob of picking 2 p when two letters picked without replacement from {p: 3, h: 8, i: 6}?\n' | b'3/136\n' | b'What is prob of picking 2 p when two letters picked without replacement from {p: 3, h: 8, i: 6}?\n' | b'3/136\n' | deepmind/math_dataset |
b'Let z = -5 - -5. Solve -2*d - 5*m = 11 + 6, z = -2*d - 3*m - 7 for d.\n' | b'4\n' | b'Let z = -5 - -5. Solve -2*d - 5*m = 11 + 6, z = -2*d - 3*m - 7 for d.\n' | b'4\n' | deepmind/math_dataset |
b'Let d = -5/39 + 49/78. Let i(q) be the second derivative of 0*q**2 - d*q**3 + 5*q + 0 + 0*q**4 + 1/10*q**5. Find the second derivative of i(w) wrt w.\n' | b'12*w\n' | b'Let d = -5/39 + 49/78. Let i(q) be the second derivative of 0*q**2 - d*q**3 + 5*q + 0 + 0*q**4 + 1/10*q**5. Find the second derivative of i(w) wrt w.\n' | b'12*w\n' | deepmind/math_dataset |
b'Two letters picked without replacement from cvccccvcccv. What is prob of sequence vv?\n' | b'3/55\n' | b'Two letters picked without replacement from cvccccvcccv. What is prob of sequence vv?\n' | b'3/55\n' | deepmind/math_dataset |
b'Four letters picked without replacement from erjygyerb. Give prob of picking 1 r, 1 b, and 2 e.\n' | b'1/63\n' | b'Four letters picked without replacement from erjygyerb. Give prob of picking 1 r, 1 b, and 2 e.\n' | b'1/63\n' | deepmind/math_dataset |
b'Suppose 0 = 13*z - 38*z. Solve z = -i - 3*i + 2*l - 12, -3*i + 3*l - 3 = 0 for i.\n' | b'-5\n' | b'Suppose 0 = 13*z - 38*z. Solve z = -i - 3*i + 2*l - 12, -3*i + 3*l - 3 = 0 for i.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of sequence orr when three letters picked without replacement from zoopopuobzpr.\n' | b'0\n' | b'Calculate prob of sequence orr when three letters picked without replacement from zoopopuobzpr.\n' | b'0\n' | deepmind/math_dataset |
b'Let z(h) = 14 + 7*h**2 - 7 - h**2 - h**3 - 8*h - 3. What is z(5)?\n' | b'-11\n' | b'Let z(h) = 14 + 7*h**2 - 7 - h**2 - h**3 - 8*h - 3. What is z(5)?\n' | b'-11\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 4, u: 1, j: 4, k: 1, a: 6}. What is prob of sequence lllu?\n' | b'1/1820\n' | b'Four letters picked without replacement from {l: 4, u: 1, j: 4, k: 1, a: 6}. What is prob of sequence lllu?\n' | b'1/1820\n' | deepmind/math_dataset |
b'Suppose -4*u + 8*u + 4 = 0. Let k be u - (26*-3)/3. Let d(m) = 4*m**2 + 4*m - 3. Let j be d(1). Solve -j*p - k = 0, -3*p + 1 + 4 = -4*s for s.\n' | b'-5\n' | b'Suppose -4*u + 8*u + 4 = 0. Let k be u - (26*-3)/3. Let d(m) = 4*m**2 + 4*m - 3. Let j be d(1). Solve -j*p - k = 0, -3*p + 1 + 4 = -4*s for s.\n' | b'-5\n' | deepmind/math_dataset |
b'Let k be (-1 + -2)/(1/2). Let b be (-3 - 9)*1/2. Let u be (-171)/k + b/(-4). Solve t - u = 4*p + p, 2*p + 4*t = 10 for p.\n' | b'-5\n' | b'Let k be (-1 + -2)/(1/2). Let b be (-3 - 9)*1/2. Let u be (-171)/k + b/(-4). Solve t - u = 4*p + p, 2*p + 4*t = 10 for p.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 5*s + 5*q - 190 = 0, 8*q + 42 = s + 7*q. Suppose -34 = 2*w - s. Solve -w*h + 2*p = -p - 21, 2*p + 2 = -h for h.\n' | b'4\n' | b'Suppose 5*s + 5*q - 190 = 0, 8*q + 42 = s + 7*q. Suppose -34 = 2*w - s. Solve -w*h + 2*p = -p - 21, 2*p + 2 = -h for h.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {z: 2, r: 1, n: 1, a: 3, j: 3, y: 1}. Give prob of sequence njy.\n' | b'1/330\n' | b'Three letters picked without replacement from {z: 2, r: 1, n: 1, a: 3, j: 3, y: 1}. Give prob of sequence njy.\n' | b'1/330\n' | deepmind/math_dataset |
b'Simplify ((((w*w/w**(-5/2)*w)/w)/w)**(-17)*(w/w**(2/15))**(-4))**(-1/15) assuming w is positive.\n' | b'w**(1889/450)\n' | b'Simplify ((((w*w/w**(-5/2)*w)/w)/w)**(-17)*(w/w**(2/15))**(-4))**(-1/15) assuming w is positive.\n' | b'w**(1889/450)\n' | deepmind/math_dataset |
b'Suppose 289 + 160 = 5*m - t, -3*m + 4*t = -266. Suppose 19*b = 10*b + m. Let l(p) = -p + 5. What is l(b)?\n' | b'-5\n' | b'Suppose 289 + 160 = 5*m - t, -3*m + 4*t = -266. Suppose 19*b = 10*b + m. Let l(p) = -p + 5. What is l(b)?\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 7*v - 13*v + 12 = 0. Solve -m + 1 = m + h, 6 = 2*m + v*h for m.\n' | b'-2\n' | b'Suppose 7*v - 13*v + 12 = 0. Solve -m + 1 = m + h, 6 = 2*m + v*h for m.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (a**(2/25)/(a**7/a))/(a**(1/2)/((a/a**1)/a))*(a/a**(-1))**(8/5)*a**(-3)/(a**5/a) assuming a is positive.\n' | b'a**(-561/50)\n' | b'Simplify (a**(2/25)/(a**7/a))/(a**(1/2)/((a/a**1)/a))*(a/a**(-1))**(8/5)*a**(-3)/(a**5/a) assuming a is positive.\n' | b'a**(-561/50)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ga when two letters picked without replacement from {l: 1, z: 7, a: 5, g: 3}.\n' | b'1/16\n' | b'Calculate prob of sequence ga when two letters picked without replacement from {l: 1, z: 7, a: 5, g: 3}.\n' | b'1/16\n' | deepmind/math_dataset |
b'Suppose -37*r + 28*r + 9 = 0. Let m = 14 + -10. Solve -s - r = -w - m, -4*s = 4*w - 12 for w.\n' | b'0\n' | b'Suppose -37*r + 28*r + 9 = 0. Let m = 14 + -10. Solve -s - r = -w - m, -4*s = 4*w - 12 for w.\n' | b'0\n' | deepmind/math_dataset |
b'Let j(o) be the second derivative of o**4/3 + 331*o. Determine j(-1).\n' | b'4\n' | b'Let j(o) be the second derivative of o**4/3 + 331*o. Determine j(-1).\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -2*j + 26 = 11*i - 13*i, 2*i - 30 = -5*j. Suppose -8*q + 80 = j*q. Solve -4*k - 2*p = -0*p + 12, -q*p + 15 = -5*k for k.\n' | b'-3\n' | b'Suppose -2*j + 26 = 11*i - 13*i, 2*i - 30 = -5*j. Suppose -8*q + 80 = j*q. Solve -4*k - 2*p = -0*p + 12, -q*p + 15 = -5*k for k.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -q + 4 = -2*m, -5*q = 5*m + 1 - 6. Let r = q + 0. Let g(b) = 0 - 3 + 5*b - 1 - b**r. Give g(6).\n' | b'-10\n' | b'Suppose -q + 4 = -2*m, -5*q = 5*m + 1 - 6. Let r = q + 0. Let g(b) = 0 - 3 + 5*b - 1 - b**r. Give g(6).\n' | b'-10\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t and 2 z when three letters picked without replacement from myrmrmtzdry.\n' | b'0\n' | b'Calculate prob of picking 1 t and 2 z when three letters picked without replacement from myrmrmtzdry.\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {c: 4, t: 2, j: 2, f: 2, i: 7}. What is prob of sequence itij?\n' | b'1/340\n' | b'Four letters picked without replacement from {c: 4, t: 2, j: 2, f: 2, i: 7}. What is prob of sequence itij?\n' | b'1/340\n' | deepmind/math_dataset |
b'What is prob of picking 1 h and 2 t when three letters picked without replacement from {d: 3, b: 4, t: 3, h: 4}?\n' | b'3/91\n' | b'What is prob of picking 1 h and 2 t when three letters picked without replacement from {d: 3, b: 4, t: 3, h: 4}?\n' | b'3/91\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 1, o: 1, j: 1}. Give prob of sequence po.\n' | b'1/6\n' | b'Two letters picked without replacement from {p: 1, o: 1, j: 1}. Give prob of sequence po.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let t = 71 - 68. Solve -t*s = -4*u + 35, -2*u + 20 = -4*s - 10 for u.\n' | b'5\n' | b'Let t = 71 - 68. Solve -t*s = -4*u + 35, -2*u + 20 = -4*s - 10 for u.\n' | b'5\n' | deepmind/math_dataset |
b'Let u be -2 + 1 - 0 - -3. Let k be (4*3/(-6) - u) + 4. Solve -f - 9 = -4*x - k, 4*f - x = -21 for f.\n' | b'-5\n' | b'Let u be -2 + 1 - 0 - -3. Let k be (4*3/(-6) - u) + 4. Solve -f - 9 = -4*x - k, 4*f - x = -21 for f.\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from frrfrrrrrrrnqr. Give prob of sequence nqf.\n' | b'1/1092\n' | b'Three letters picked without replacement from frrfrrrrrrrnqr. Give prob of sequence nqf.\n' | b'1/1092\n' | deepmind/math_dataset |
b'Suppose 4*s + 0*s - 12 = 0. Suppose -s*z - 34 = -43. Let y(o) = 41*o**3 - o**2 + 0*o**2 - o - z*o**2 - 1 - 42*o**3. Give y(-4).\n' | b'3\n' | b'Suppose 4*s + 0*s - 12 = 0. Suppose -s*z - 34 = -43. Let y(o) = 41*o**3 - o**2 + 0*o**2 - o - z*o**2 - 1 - 42*o**3. Give y(-4).\n' | b'3\n' | deepmind/math_dataset |
b'Let f(n) be the first derivative of -612*n**2 - 189*n - 1024. Differentiate f(z) with respect to z.\n' | b'-1224\n' | b'Let f(n) be the first derivative of -612*n**2 - 189*n - 1024. Differentiate f(z) with respect to z.\n' | b'-1224\n' | deepmind/math_dataset |
b'Simplify ((h*h/h**(8/9))**(-6/31))**(6/11) assuming h is positive.\n' | b'h**(-40/341)\n' | b'Simplify ((h*h/h**(8/9))**(-6/31))**(6/11) assuming h is positive.\n' | b'h**(-40/341)\n' | deepmind/math_dataset |
b'What is prob of sequence am when two letters picked without replacement from {a: 1, s: 6, j: 1, m: 2, i: 2, g: 8}?\n' | b'1/190\n' | b'What is prob of sequence am when two letters picked without replacement from {a: 1, s: 6, j: 1, m: 2, i: 2, g: 8}?\n' | b'1/190\n' | deepmind/math_dataset |
b'Let a(g) = -3*g**3 - 3*g**2 + 4*g + 3. Let i be 1/(-2) + 1 - (-110)/(-44). What is a(i)?\n' | b'7\n' | b'Let a(g) = -3*g**3 - 3*g**2 + 4*g + 3. Let i be 1/(-2) + 1 - (-110)/(-44). What is a(i)?\n' | b'7\n' | deepmind/math_dataset |
b'Find the second derivative of 2*a + 1 + 72*a + 393*a**2 + 180*a - 1759*a**2 - 27*a wrt a.\n' | b'-2732\n' | b'Find the second derivative of 2*a + 1 + 72*a + 393*a**2 + 180*a - 1759*a**2 - 27*a wrt a.\n' | b'-2732\n' | deepmind/math_dataset |
b'Simplify (s**5*s**(2/3))/(s**(1/7)/(s*s**(-5/4)))*s*(s*s**(2/5))/s*s/s**0*s*s**(1/4)/s*s*s**(-7) assuming s is positive.\n' | b's**(202/105)\n' | b'Simplify (s**5*s**(2/3))/(s**(1/7)/(s*s**(-5/4)))*s*(s*s**(2/5))/s*s/s**0*s*s**(1/4)/s*s*s**(-7) assuming s is positive.\n' | b's**(202/105)\n' | deepmind/math_dataset |
b'What is prob of picking 2 w and 1 c when three letters picked without replacement from cwww?\n' | b'3/4\n' | b'What is prob of picking 2 w and 1 c when three letters picked without replacement from cwww?\n' | b'3/4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 w and 2 a when three letters picked without replacement from wwawwwawaawaa.\n' | b'105/286\n' | b'Calculate prob of picking 1 w and 2 a when three letters picked without replacement from wwawwwawaawaa.\n' | b'105/286\n' | deepmind/math_dataset |
b'Simplify (((x*x/x**(-14))/x*x)/x)**(-10/9)/(x/(x**(-41)*x)*x**(5/3)) assuming x is positive.\n' | b'x**(-178/3)\n' | b'Simplify (((x*x/x**(-14))/x*x)/x)**(-10/9)/(x/(x**(-41)*x)*x**(5/3)) assuming x is positive.\n' | b'x**(-178/3)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 2, f: 3, z: 1, i: 1}. Give prob of sequence tz.\n' | b'1/21\n' | b'Two letters picked without replacement from {t: 2, f: 3, z: 1, i: 1}. Give prob of sequence tz.\n' | b'1/21\n' | deepmind/math_dataset |
b'Let v(j) be the first derivative of -3*j + 2*j**2 + 14 + 1/4*j**4 + 7/3*j**3. Determine v(-6).\n' | b'9\n' | b'Let v(j) be the first derivative of -3*j + 2*j**2 + 14 + 1/4*j**4 + 7/3*j**3. Determine v(-6).\n' | b'9\n' | deepmind/math_dataset |
b'Let v = 14 + -9. Let o(y) = -y**2 + 9*y - 5. Let u be o(8). Solve 2*d - 14 = 7*d - u*q, 11 = 4*d + v*q for d.\n' | b'-1\n' | b'Let v = 14 + -9. Let o(y) = -y**2 + 9*y - 5. Let u be o(8). Solve 2*d - 14 = 7*d - u*q, 11 = 4*d + v*q for d.\n' | b'-1\n' | deepmind/math_dataset |
b'Let p = -3 - 35. Let g = p + 47. What is the second derivative of 3*y - g*y**5 + 2*y**5 + y + 3*y**5 wrt y?\n' | b'-80*y**3\n' | b'Let p = -3 - 35. Let g = p + 47. What is the second derivative of 3*y - g*y**5 + 2*y**5 + y + 3*y**5 wrt y?\n' | b'-80*y**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 q and 2 i when three letters picked without replacement from qiipjp.\n' | b'1/20\n' | b'Calculate prob of picking 1 q and 2 i when three letters picked without replacement from qiipjp.\n' | b'1/20\n' | deepmind/math_dataset |
b'Suppose 7*i - 2*i = 4*k + 131, 2*i = -3*k + 57. Suppose -4*z + i = 7. Let d be (-2)/5 - (-22)/z. Solve -d = 4*g - 3*o, 2*o = -4*g - 0*g + 16 for g.\n' | b'2\n' | b'Suppose 7*i - 2*i = 4*k + 131, 2*i = -3*k + 57. Suppose -4*z + i = 7. Let d be (-2)/5 - (-22)/z. Solve -d = 4*g - 3*o, 2*o = -4*g - 0*g + 16 for g.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 a and 2 f when three letters picked without replacement from fxzzzxzzxzfzaxzzz.\n' | b'1/680\n' | b'Calculate prob of picking 1 a and 2 f when three letters picked without replacement from fxzzzxzzxzfzaxzzz.\n' | b'1/680\n' | deepmind/math_dataset |
b'Let p = 39767 - 39773. Let q(f) = 6*f + 3*f**2 + 3 - f**2 + 1. Give q(p).\n' | b'40\n' | b'Let p = 39767 - 39773. Let q(f) = 6*f + 3*f**2 + 3 - f**2 + 1. Give q(p).\n' | b'40\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zppzpppp. Give prob of sequence pzz.\n' | b'1/28\n' | b'Three letters picked without replacement from zppzpppp. Give prob of sequence pzz.\n' | b'1/28\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jxnnjw. What is prob of sequence wx?\n' | b'1/30\n' | b'Two letters picked without replacement from jxnnjw. What is prob of sequence wx?\n' | b'1/30\n' | deepmind/math_dataset |
b'Two letters picked without replacement from muquqqqsuqqmdqmsud. Give prob of picking 1 m and 1 q.\n' | b'7/51\n' | b'Two letters picked without replacement from muquqqqsuqqmdqmsud. Give prob of picking 1 m and 1 q.\n' | b'7/51\n' | deepmind/math_dataset |
b'Suppose 0 = 2*t - 2*i - 6, -3*t + 21 = 3*i + 6. Find the second derivative of 66*j**4 - 11*j**4 - 104*j + 121*j + 33*j**t wrt j.\n' | b'1056*j**2\n' | b'Suppose 0 = 2*t - 2*i - 6, -3*t + 21 = 3*i + 6. Find the second derivative of 66*j**4 - 11*j**4 - 104*j + 121*j + 33*j**t wrt j.\n' | b'1056*j**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence gga when three letters picked without replacement from {a: 1, g: 14}.\n' | b'1/15\n' | b'Calculate prob of sequence gga when three letters picked without replacement from {a: 1, g: 14}.\n' | b'1/15\n' | deepmind/math_dataset |
b'Let d be 4/1 + -1 + -1. Solve -d*t = 4*i + 6, t + 6*i = 5*i for t.\n' | b'3\n' | b'Let d be 4/1 + -1 + -1. Solve -d*t = 4*i + 6, t + 6*i = 5*i for t.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m and 1 b when two letters picked without replacement from bebzszbbmbbsbbsmbmb.\n' | b'10/57\n' | b'Calculate prob of picking 1 m and 1 b when two letters picked without replacement from bebzszbbmbbsbbsmbmb.\n' | b'10/57\n' | deepmind/math_dataset |
b'Let i be -15*(6 + -4)/6 - 3. Let f(z) = z + 2. Determine f(i).\n' | b'-6\n' | b'Let i be -15*(6 + -4)/6 - 3. Let f(z) = z + 2. Determine f(i).\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify ((t/(t*(t**10*t)/t))/t*(((t*t**(-2/17))/t)/t)/t)**49 assuming t is positive.\n' | b't**(-10927/17)\n' | b'Simplify ((t/(t*(t**10*t)/t))/t*(((t*t**(-2/17))/t)/t)/t)**49 assuming t is positive.\n' | b't**(-10927/17)\n' | deepmind/math_dataset |
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