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'Let g(z) = z**3 + 2*z**2 - z + 2. Let d(k) = 59*k - 3. Suppose 0 = 4*s, -2*r - 5 + 5 = 5*s. Let v be d(r). Calculate g(v).\n' | b'-4\n' | b'Let g(z) = z**3 + 2*z**2 - z + 2. Let d(k) = 59*k - 3. Suppose 0 = 4*s, -2*r - 5 + 5 = 5*s. Let v be d(r). Calculate g(v).\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((j**1/j)**(2/135))**(-9/5)*((j/j**(1/4))/j**(-2))**(-26/9) assuming j is positive.\n' | b'j**(-143/18)\n' | b'Simplify ((j**1/j)**(2/135))**(-9/5)*((j/j**(1/4))/j**(-2))**(-26/9) assuming j is positive.\n' | b'j**(-143/18)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 2, o: 4, x: 3}. Give prob of sequence so.\n' | b'1/9\n' | b'Two letters picked without replacement from {s: 2, o: 4, x: 3}. Give prob of sequence so.\n' | b'1/9\n' | deepmind/math_dataset |
b'Simplify (d/d**8)**(-47)*((d/d**(2/21))/d*d)**0 assuming d is positive.\n' | b'd**329\n' | b'Simplify (d/d**8)**(-47)*((d/d**(2/21))/d*d)**0 assuming d is positive.\n' | b'd**329\n' | deepmind/math_dataset |
b'Simplify ((x**(7/8))**(-27/5))**(-2/31) assuming x is positive.\n' | b'x**(189/620)\n' | b'Simplify ((x**(7/8))**(-27/5))**(-2/31) assuming x is positive.\n' | b'x**(189/620)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from njaojaggmaaag. What is prob of sequence jogn?\n' | b'1/2860\n' | b'Four letters picked without replacement from njaojaggmaaag. What is prob of sequence jogn?\n' | b'1/2860\n' | deepmind/math_dataset |
b'Suppose 6*j = 2*j. Suppose 0 = l - 5*l + 3*k + 19, k + 1 = j. Solve 4*n + q + 19 = 3, -n - 4 = l*q for n.\n' | b'-4\n' | b'Suppose 6*j = 2*j. Suppose 0 = l - 5*l + 3*k + 19, k + 1 = j. Solve 4*n + q + 19 = 3, -n - 4 = l*q for n.\n' | b'-4\n' | deepmind/math_dataset |
b'Let h(w) = -w**2 - 10*w + 10. Let x(l) = l**2 + 14*l - 10. Let g(n) = 3*h(n) + 2*x(n). Give g(2).\n' | b'2\n' | b'Let h(w) = -w**2 - 10*w + 10. Let x(l) = l**2 + 14*l - 10. Let g(n) = 3*h(n) + 2*x(n). Give g(2).\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 1, i: 1, x: 2, h: 2, t: 6}. What is prob of picking 1 x and 1 k?\n' | b'1/33\n' | b'Two letters picked without replacement from {k: 1, i: 1, x: 2, h: 2, t: 6}. What is prob of picking 1 x and 1 k?\n' | b'1/33\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wwwwwwnwwwwwwww. What is prob of picking 1 w and 1 n?\n' | b'2/15\n' | b'Two letters picked without replacement from wwwwwwnwwwwwwww. What is prob of picking 1 w and 1 n?\n' | b'2/15\n' | deepmind/math_dataset |
b'Suppose -5*l = -5, -5*v - 2*l = -v - 58. Suppose d + v = 17. Solve -b + d*b = -4*o + 20, -4*b = -5*o + 25 for b.\n' | b'0\n' | b'Suppose -5*l = -5, -5*v - 2*l = -v - 58. Suppose d + v = 17. Solve -b + d*b = -4*o + 20, -4*b = -5*o + 25 for b.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wtttwtahhhhthhc. What is prob of sequence hc?\n' | b'1/35\n' | b'Two letters picked without replacement from wtttwtahhhhthhc. What is prob of sequence hc?\n' | b'1/35\n' | deepmind/math_dataset |
b'Suppose 0 = -10*h - 0 + 10. Let j be (-20)/(-8)*(-2*h)/(-1). Solve o + 2 = 0, j*u + 2*o = 2 + 4 for u.\n' | b'2\n' | b'Suppose 0 = -10*h - 0 + 10. Let j be (-20)/(-8)*(-2*h)/(-1). Solve o + 2 = 0, j*u + 2*o = 2 + 4 for u.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((i*i*i**(4/15))/(i*i**(7/4)))/((i**(-5/3)/i*i)/(i**(-1/19)/i)) assuming i is positive.\n' | b'i**(149/1140)\n' | b'Simplify ((i*i*i**(4/15))/(i*i**(7/4)))/((i**(-5/3)/i*i)/(i**(-1/19)/i)) assuming i is positive.\n' | b'i**(149/1140)\n' | deepmind/math_dataset |
b'Let i(x) = 9*x**2 + 12*x + 6. Let y(m) = 5*m**2 + 6*m + 3. Let g(n) = 6*i(n) - 11*y(n). What is g(6)?\n' | b'3\n' | b'Let i(x) = 9*x**2 + 12*x + 6. Let y(m) = 5*m**2 + 6*m + 3. Let g(n) = 6*i(n) - 11*y(n). What is g(6)?\n' | b'3\n' | deepmind/math_dataset |
b'Let o be (-2)/(-3) - 11/3. Let s(b) = -2*b + 14*b**2 + 26*b**2 - 3 - 41*b**2. Give s(o).\n' | b'-6\n' | b'Let o be (-2)/(-3) - 11/3. Let s(b) = -2*b + 14*b**2 + 26*b**2 - 3 - 41*b**2. Give s(o).\n' | b'-6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 2, p: 1, w: 2, a: 1, u: 4}. What is prob of picking 1 p and 1 x?\n' | b'2/45\n' | b'Two letters picked without replacement from {x: 2, p: 1, w: 2, a: 1, u: 4}. What is prob of picking 1 p and 1 x?\n' | b'2/45\n' | deepmind/math_dataset |
b'Let u(y) be the third derivative of -y**6/120 - 7*y**5/60 + 7*y**4/24 - 4*y**3/3 + y**2. Let t be ((-36)/24)/((-9)/48). Suppose 83*q = 82*q - t. Calculate u(q).\n' | b'0\n' | b'Let u(y) be the third derivative of -y**6/120 - 7*y**5/60 + 7*y**4/24 - 4*y**3/3 + y**2. Let t be ((-36)/24)/((-9)/48). Suppose 83*q = 82*q - t. Calculate u(q).\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (l*l/(l*l*l**(-1/2)*l)*l**(-1)*l*l**(3/10)*l**(4/7)*l)/(l**(-1)/(l/l**(2/21)))**24 assuming l is positive.\n' | b'l**(1648/35)\n' | b'Simplify (l*l/(l*l*l**(-1/2)*l)*l**(-1)*l*l**(3/10)*l**(4/7)*l)/(l**(-1)/(l/l**(2/21)))**24 assuming l is positive.\n' | b'l**(1648/35)\n' | deepmind/math_dataset |
b'Simplify (j*j*j/(j**30/j))/j**(-26) assuming j is positive.\n' | b'1\n' | b'Simplify (j*j*j/(j**30/j))/j**(-26) assuming j is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence jsd when three letters picked without replacement from amdmjassmamaasesm.\n' | b'1/1020\n' | b'Calculate prob of sequence jsd when three letters picked without replacement from amdmjassmamaasesm.\n' | b'1/1020\n' | deepmind/math_dataset |
b'Suppose -2*s - 19 = -39. Let q be s + (5 + -2 - 9). Solve 3*l = 4*c + 5*l + 18, -c = l + q for c.\n' | b'-5\n' | b'Suppose -2*s - 19 = -39. Let q be s + (5 + -2 - 9). Solve 3*l = 4*c + 5*l + 18, -c = l + q for c.\n' | b'-5\n' | deepmind/math_dataset |
b'Let r(v) be the second derivative of -v**4/24 - 8*v**2 - 22*v. Let p(w) be the first derivative of r(w). Give p(5).\n' | b'-5\n' | b'Let r(v) be the second derivative of -v**4/24 - 8*v**2 - 22*v. Let p(w) be the first derivative of r(w). Give p(5).\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -x + 12 = 3*x. Let z be 2/(-8) - (-2)/8. Let f(q) = -q**2 + 5*q + z*q**2 + 2*q**2 + 2 - x. Calculate f(-6).\n' | b'5\n' | b'Suppose -x + 12 = 3*x. Let z be 2/(-8) - (-2)/8. Let f(q) = -q**2 + 5*q + z*q**2 + 2*q**2 + 2 - x. Calculate f(-6).\n' | b'5\n' | deepmind/math_dataset |
b'Let b be (76/57)/(1/3*2). Let l(y) = y - 4. Give l(b).\n' | b'-2\n' | b'Let b be (76/57)/(1/3*2). Let l(y) = y - 4. Give l(b).\n' | b'-2\n' | deepmind/math_dataset |
b'Let r(d) = -d**3 - 4*d**2 - d - 2. Suppose -3*x = -3 - 12, 0 = 2*o + 5*x - 47. Suppose o*i = i - 40. Give r(i).\n' | b'2\n' | b'Let r(d) = -d**3 - 4*d**2 - d - 2. Suppose -3*x = -3 - 12, 0 = 2*o + 5*x - 47. Suppose o*i = i - 40. Give r(i).\n' | b'2\n' | deepmind/math_dataset |
b'Let d(h) = 6*h + 14. Let m be d(-2). Suppose t - 8 = l, 11*l - 6*l - 9 = -m*t. Let j(b) = -b - 3. Calculate j(t).\n' | b'-10\n' | b'Let d(h) = 6*h + 14. Let m be d(-2). Suppose t - 8 = l, 11*l - 6*l - 9 = -m*t. Let j(b) = -b - 3. Calculate j(t).\n' | b'-10\n' | deepmind/math_dataset |
b'Calculate prob of sequence zze when three letters picked without replacement from {y: 4, e: 2, z: 6}.\n' | b'1/22\n' | b'Calculate prob of sequence zze when three letters picked without replacement from {y: 4, e: 2, z: 6}.\n' | b'1/22\n' | deepmind/math_dataset |
b'Let m(a) = -765*a**4 + 9*a**2 - 4*a + 95. Let d(x) = 1530*x**4 - 16*x**2 + 7*x - 191. Let i(s) = 4*d(s) + 7*m(s). What is the third derivative of i(f) wrt f?\n' | b'18360*f\n' | b'Let m(a) = -765*a**4 + 9*a**2 - 4*a + 95. Let d(x) = 1530*x**4 - 16*x**2 + 7*x - 191. Let i(s) = 4*d(s) + 7*m(s). What is the third derivative of i(f) wrt f?\n' | b'18360*f\n' | deepmind/math_dataset |
b'Let l(d) = -d**2 + d + 1. Let i(m) = 4 - 5*m**2 + 5*m + 5 - 6. Let r(g) = -2*i(g) + 6*l(g). Find the second derivative of r(y) wrt y.\n' | b'8\n' | b'Let l(d) = -d**2 + d + 1. Let i(m) = 4 - 5*m**2 + 5*m + 5 - 6. Let r(g) = -2*i(g) + 6*l(g). Find the second derivative of r(y) wrt y.\n' | b'8\n' | deepmind/math_dataset |
b'Let x(w) = 2*w**2 - 21*w + 3. Let n(a) = -a**2 + 10*a - 2. Let b(v) = 9*n(v) + 4*x(v). Let z be b(4). Solve 3*d + 5*o = -0*d + 2, 0 = -2*d - z*o for d.\n' | b'-1\n' | b'Let x(w) = 2*w**2 - 21*w + 3. Let n(a) = -a**2 + 10*a - 2. Let b(v) = 9*n(v) + 4*x(v). Let z be b(4). Solve 3*d + 5*o = -0*d + 2, 0 = -2*d - z*o for d.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from munbueeuunbebnen. What is prob of picking 2 b, 1 n, and 1 u?\n' | b'12/455\n' | b'Four letters picked without replacement from munbueeuunbebnen. What is prob of picking 2 b, 1 n, and 1 u?\n' | b'12/455\n' | deepmind/math_dataset |
b'Let v(s) = 3*s - 8. Suppose 0 = -3*a + 23 + 4. Let u be v(a). Suppose 0 = 16*w - u*w + 15. Solve 5*i - 2*o = 2*o + w, i + 3*o = -18 for i.\n' | b'-3\n' | b'Let v(s) = 3*s - 8. Suppose 0 = -3*a + 23 + 4. Let u be v(a). Suppose 0 = 16*w - u*w + 15. Solve 5*i - 2*o = 2*o + w, i + 3*o = -18 for i.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence mqmt when four letters picked without replacement from mqmqmqmmqqmmtqmtbqm.\n' | b'7/646\n' | b'Calculate prob of sequence mqmt when four letters picked without replacement from mqmqmqmmqqmmtqmtbqm.\n' | b'7/646\n' | deepmind/math_dataset |
b'Let d = 4 - 2. Suppose -d*h = -3*h + 2. Solve c + 3*k + 10 = 0, c + h*k = 2*c for c.\n' | b'-4\n' | b'Let d = 4 - 2. Suppose -d*h = -3*h + 2. Solve c + 3*k + 10 = 0, c + h*k = 2*c for c.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify s**(-12)*(s*s/(s**25*s*s*s)*s*s)/s assuming s is positive.\n' | b's**(-37)\n' | b'Simplify s**(-12)*(s*s/(s**25*s*s*s)*s*s)/s assuming s is positive.\n' | b's**(-37)\n' | deepmind/math_dataset |
b'Suppose 3*w = 5 - 2, -4*w = 4*k + 4. Let t(n) = -2*n**3 - n + 1. Let u be t(k). Find the first derivative of -2 + 7 - u*z + 15*z wrt z.\n' | b'-4\n' | b'Suppose 3*w = 5 - 2, -4*w = 4*k + 4. Let t(n) = -2*n**3 - n + 1. Let u be t(k). Find the first derivative of -2 + 7 - u*z + 15*z wrt z.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of picking 1 f and 1 h when two letters picked without replacement from {f: 2, h: 6}?\n' | b'3/7\n' | b'What is prob of picking 1 f and 1 h when two letters picked without replacement from {f: 2, h: 6}?\n' | b'3/7\n' | deepmind/math_dataset |
b'Simplify ((k**(2/13)*k**(-1))/((k/(k*k**(-5)/k)*k*k)/k**(-1/3)))/((k**(2/9)/(k*k/((k*k**(1/6))/k)))/(k**(1/10)/(k/k**(-4)))) assuming k is positive.\n' | b'k**(-7294/585)\n' | b'Simplify ((k**(2/13)*k**(-1))/((k/(k*k**(-5)/k)*k*k)/k**(-1/3)))/((k**(2/9)/(k*k/((k*k**(1/6))/k)))/(k**(1/10)/(k/k**(-4)))) assuming k is positive.\n' | b'k**(-7294/585)\n' | deepmind/math_dataset |
b'Suppose -4*c = b + 5, 23 = -2*c - 2*c + 5*b. Let s be (c/3)/(-2)*6. What is the derivative of 1 + 2*z**2 - 3*z**2 + s wrt z?\n' | b'-2*z\n' | b'Suppose -4*c = b + 5, 23 = -2*c - 2*c + 5*b. Let s be (c/3)/(-2)*6. What is the derivative of 1 + 2*z**2 - 3*z**2 + s wrt z?\n' | b'-2*z\n' | deepmind/math_dataset |
b'Simplify (((a**0*a)/a)**(-24))**43 assuming a is positive.\n' | b'1\n' | b'Simplify (((a**0*a)/a)**(-24))**43 assuming a is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Let x(i) = 699*i**2 + 916*i - 3. Let m(j) = -j**2 - 4*j + 5. Let p(d) = m(d) + x(d). What is the second derivative of p(u) wrt u?\n' | b'1396\n' | b'Let x(i) = 699*i**2 + 916*i - 3. Let m(j) = -j**2 - 4*j + 5. Let p(d) = m(d) + x(d). What is the second derivative of p(u) wrt u?\n' | b'1396\n' | deepmind/math_dataset |
b'Suppose 0 = 4*k - 7*k + k + 8. Let m(h) be the second derivative of 0 - 1/6*h**3 - 2*h**2 + 2*h - 1/4*h**4 + 1/20*h**5. Determine m(k).\n' | b'8\n' | b'Suppose 0 = 4*k - 7*k + k + 8. Let m(h) be the second derivative of 0 - 1/6*h**3 - 2*h**2 + 2*h - 1/4*h**4 + 1/20*h**5. Determine m(k).\n' | b'8\n' | deepmind/math_dataset |
b'Let m = -30 + 26. Let i(g) = 2*g**3 + 6*g**2 + 3*g. What is i(m)?\n' | b'-44\n' | b'Let m = -30 + 26. Let i(g) = 2*g**3 + 6*g**2 + 3*g. What is i(m)?\n' | b'-44\n' | deepmind/math_dataset |
b'Suppose i + m - 16 = -0*i, 0 = 4*i - 4*m - 56. Suppose -2*v - i = -5*v. Find the first derivative of -4*r**4 + 9*r**4 + 6 - v wrt r.\n' | b'20*r**3\n' | b'Suppose i + m - 16 = -0*i, 0 = 4*i - 4*m - 56. Suppose -2*v - i = -5*v. Find the first derivative of -4*r**4 + 9*r**4 + 6 - v wrt r.\n' | b'20*r**3\n' | deepmind/math_dataset |
b'Suppose -2*x = 4 - 6. Let b be x*((2 - 1) + 1). Let u be (-21)/(-56) - 42/(-16). Solve -b*w = 3*a + u, 5*a - 3*w + 10 = -14 for a.\n' | b'-3\n' | b'Suppose -2*x = 4 - 6. Let b be x*((2 - 1) + 1). Let u be (-21)/(-56) - 42/(-16). Solve -b*w = 3*a + u, 5*a - 3*w + 10 = -14 for a.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 5*j + 125 = 2*h, -4*h + 4 = j + 29. Let t = j + 28. What is the third derivative of -t*f**4 + 232*f - 232*f - 10*f**2 wrt f?\n' | b'-72*f\n' | b'Suppose 5*j + 125 = 2*h, -4*h + 4 = j + 29. Let t = j + 28. What is the third derivative of -t*f**4 + 232*f - 232*f - 10*f**2 wrt f?\n' | b'-72*f\n' | deepmind/math_dataset |
b'Simplify ((y**(1/3))**2)**(1/5)/((y**4*y**2)/((y*y/(y/((y*y**(1/3))/y)))/(y*y/(y**(-6)/y)))) assuming y is positive.\n' | b'y**(-203/15)\n' | b'Simplify ((y**(1/3))**2)**(1/5)/((y**4*y**2)/((y*y/(y/((y*y**(1/3))/y)))/(y*y/(y**(-6)/y)))) assuming y is positive.\n' | b'y**(-203/15)\n' | deepmind/math_dataset |
b'Let m(z) = z**2 - z - 1. Let f(k) = -7*k**2 - 2*k - 1. Let w(x) = f(x) - 2*m(x). Suppose -3*s + 2*s = -1. Calculate w(s).\n' | b'-8\n' | b'Let m(z) = z**2 - z - 1. Let f(k) = -7*k**2 - 2*k - 1. Let w(x) = f(x) - 2*m(x). Suppose -3*s + 2*s = -1. Calculate w(s).\n' | b'-8\n' | deepmind/math_dataset |
b'Let i(x) = 3*x**3 - 14*x**2 - 10*x + 2. Let v = -1201 - -1206. Give i(v).\n' | b'-23\n' | b'Let i(x) = 3*x**3 - 14*x**2 - 10*x + 2. Let v = -1201 - -1206. Give i(v).\n' | b'-23\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r and 2 s when three letters picked without replacement from {s: 13, r: 3}.\n' | b'117/280\n' | b'Calculate prob of picking 1 r and 2 s when three letters picked without replacement from {s: 13, r: 3}.\n' | b'117/280\n' | deepmind/math_dataset |
b'Suppose -14*m = 2*o - 10*m - 8, 5*o - 13 = -3*m. Suppose -3*r + 0*r + 42 = 0. Differentiate -8*y**o + 4 - 1 - r wrt y.\n' | b'-16*y\n' | b'Suppose -14*m = 2*o - 10*m - 8, 5*o - 13 = -3*m. Suppose -3*r + 0*r + 42 = 0. Differentiate -8*y**o + 4 - 1 - r wrt y.\n' | b'-16*y\n' | deepmind/math_dataset |
b'Let w = -3/3593 + 39532/10779. Let m(b) be the first derivative of 18*b + 0*b**2 - w*b**3 + 26. Find the first derivative of m(i) wrt i.\n' | b'-22*i\n' | b'Let w = -3/3593 + 39532/10779. Let m(b) be the first derivative of 18*b + 0*b**2 - w*b**3 + 26. Find the first derivative of m(i) wrt i.\n' | b'-22*i\n' | deepmind/math_dataset |
b'Let h = -157 - -160. Let b(a) = a**3 - 3*a**2 - 2*a - 3. What is b(h)?\n' | b'-9\n' | b'Let h = -157 - -160. Let b(a) = a**3 - 3*a**2 - 2*a - 3. What is b(h)?\n' | b'-9\n' | deepmind/math_dataset |
b'Find the third derivative of 24*d**2 - 6*d**2 + 14*d**6 - 32*d**6 wrt d.\n' | b'-2160*d**3\n' | b'Find the third derivative of 24*d**2 - 6*d**2 + 14*d**6 - 32*d**6 wrt d.\n' | b'-2160*d**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 1, n: 7, a: 3, q: 1}. What is prob of picking 1 q and 1 a?\n' | b'1/22\n' | b'Two letters picked without replacement from {r: 1, n: 7, a: 3, q: 1}. What is prob of picking 1 q and 1 a?\n' | b'1/22\n' | deepmind/math_dataset |
b'Simplify (l**9*l**8/l*(l**(-1))**(-6))/((((l/(l*l**(-5/2)))/l)/((l/(l**9/l))/l))/(l**2*l)**(-20)) assuming l is positive.\n' | b'l**(-95/2)\n' | b'Simplify (l**9*l**8/l*(l**(-1))**(-6))/((((l/(l*l**(-5/2)))/l)/((l/(l**9/l))/l))/(l**2*l)**(-20)) assuming l is positive.\n' | b'l**(-95/2)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vpvlglvvvvlllvvgq. Give prob of sequence qg.\n' | b'1/136\n' | b'Two letters picked without replacement from vpvlglvvvvlllvvgq. Give prob of sequence qg.\n' | b'1/136\n' | deepmind/math_dataset |
b'Let a(f) = -31*f - 30*f - 11 + 60*f. Suppose -4*u - 12 - 16 = 0. What is a(u)?\n' | b'-4\n' | b'Let a(f) = -31*f - 30*f - 11 + 60*f. Suppose -4*u - 12 - 16 = 0. What is a(u)?\n' | b'-4\n' | deepmind/math_dataset |
b'Let q be ((-25)/6*-8)/(1/9). Let u = 306 - q. Solve -a = -2*x - 6, -3*a - 22 = u*x - 2*x for x.\n' | b'-4\n' | b'Let q be ((-25)/6*-8)/(1/9). Let u = 306 - q. Solve -a = -2*x - 6, -3*a - 22 = u*x - 2*x for x.\n' | b'-4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nrfho. Give prob of sequence frn.\n' | b'1/60\n' | b'Three letters picked without replacement from nrfho. Give prob of sequence frn.\n' | b'1/60\n' | deepmind/math_dataset |
b'Simplify ((y/((y*y/y**6*y)/y))/y*y*y**(-6/5))/((y/y**(-2/3))/y)**(-2) assuming y is positive.\n' | b'y**(77/15)\n' | b'Simplify ((y/((y*y/y**6*y)/y))/y*y*y**(-6/5))/((y/y**(-2/3))/y)**(-2) assuming y is positive.\n' | b'y**(77/15)\n' | deepmind/math_dataset |
b'Let k be (1 + -1)*(-2)/(-6). Suppose -t + 0*t + 4 = k. Let z(l) = 1 + l - 1 + t. What is z(4)?\n' | b'8\n' | b'Let k be (1 + -1)*(-2)/(-6). Suppose -t + 0*t + 4 = k. Let z(l) = 1 + l - 1 + t. What is z(4)?\n' | b'8\n' | deepmind/math_dataset |
b'Simplify ((y*y/(y/y**(-1/8)))/y**25)**(17/7) assuming y is positive.\n' | b'y**(-3281/56)\n' | b'Simplify ((y*y/(y/y**(-1/8)))/y**25)**(17/7) assuming y is positive.\n' | b'y**(-3281/56)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 7, i: 5}. What is prob of sequence vvvv?\n' | b'7/99\n' | b'Four letters picked without replacement from {v: 7, i: 5}. What is prob of sequence vvvv?\n' | b'7/99\n' | deepmind/math_dataset |
b'Let j be (14/8 - 0)*4. Let g = 7 - j. Solve g = -3*a - 4*t, 0 = -3*a + a + 4*t for a.\n' | b'0\n' | b'Let j be (14/8 - 0)*4. Let g = 7 - j. Solve g = -3*a - 4*t, 0 = -3*a + a + 4*t for a.\n' | b'0\n' | deepmind/math_dataset |
b'Let u(d) be the first derivative of 0*d**2 + 0*d + 16/5*d**5 - 13 + 0*d**4 + 10/3*d**3. What is the third derivative of u(z) wrt z?\n' | b'384*z\n' | b'Let u(d) be the first derivative of 0*d**2 + 0*d + 16/5*d**5 - 13 + 0*d**4 + 10/3*d**3. What is the third derivative of u(z) wrt z?\n' | b'384*z\n' | deepmind/math_dataset |
b'Let s(n) be the first derivative of 37*n**7/7 + n**4 + 485*n**3/3 - 362. Find the third derivative of s(b) wrt b.\n' | b'4440*b**3 + 24\n' | b'Let s(n) be the first derivative of 37*n**7/7 + n**4 + 485*n**3/3 - 362. Find the third derivative of s(b) wrt b.\n' | b'4440*b**3 + 24\n' | deepmind/math_dataset |
b'Suppose u + 4*v + 1 = 8, 4 = 4*v. Suppose -u*i - 110 = -i. Let r be (-48)/(-22) + 10/i. Solve 3*s - 2*h = -s - 10, -r*h + 10 = -s for s.\n' | b'0\n' | b'Suppose u + 4*v + 1 = 8, 4 = 4*v. Suppose -u*i - 110 = -i. Let r be (-48)/(-22) + 10/i. Solve 3*s - 2*h = -s - 10, -r*h + 10 = -s for s.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence aya when three letters picked without replacement from ayyay.\n' | b'1/10\n' | b'Calculate prob of sequence aya when three letters picked without replacement from ayyay.\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify ((m*m/m**(2/19))/(m*m/(m*m**(-34)/m)))/(m**(-18/11)*m)**(-2/99) assuming m is positive.\n' | b'm**(-705938/20691)\n' | b'Simplify ((m*m/m**(2/19))/(m*m/(m*m**(-34)/m)))/(m**(-18/11)*m)**(-2/99) assuming m is positive.\n' | b'm**(-705938/20691)\n' | deepmind/math_dataset |
b'Let j(t) = 3*t + 4. Let z(y) = -y**2 + 4*y - 5. Let s be z(4). Calculate j(s).\n' | b'-11\n' | b'Let j(t) = 3*t + 4. Let z(y) = -y**2 + 4*y - 5. Let s be z(4). Calculate j(s).\n' | b'-11\n' | deepmind/math_dataset |
b'Let f(u) be the first derivative of 14 + 0*u + 0*u**4 - 8*u**2 + 6/5*u**5 + 0*u**3. Find the second derivative of f(q) wrt q.\n' | b'72*q**2\n' | b'Let f(u) be the first derivative of 14 + 0*u + 0*u**4 - 8*u**2 + 6/5*u**5 + 0*u**3. Find the second derivative of f(q) wrt q.\n' | b'72*q**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t and 2 r when three letters picked without replacement from {r: 3, n: 1, t: 1}.\n' | b'3/10\n' | b'Calculate prob of picking 1 t and 2 r when three letters picked without replacement from {r: 3, n: 1, t: 1}.\n' | b'3/10\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m and 2 b when three letters picked without replacement from bmmbmmcmmmmbmmm.\n' | b'33/455\n' | b'Calculate prob of picking 1 m and 2 b when three letters picked without replacement from bmmbmmcmmmmbmmm.\n' | b'33/455\n' | deepmind/math_dataset |
b'Let c(t) = 2*t**3 + 27*t**2 - 64*t**2 + 20*t**2 + 16*t**2 - 2*t. Give c(2).\n' | b'8\n' | b'Let c(t) = 2*t**3 + 27*t**2 - 64*t**2 + 20*t**2 + 16*t**2 - 2*t. Give c(2).\n' | b'8\n' | deepmind/math_dataset |
b'Simplify f/(f**(4/11)*f)*(f/f**23)/f*f*f*f*f*f**(-8/9)*f*f*f*f**21 assuming f is positive.\n' | b'f**(371/99)\n' | b'Simplify f/(f**(4/11)*f)*(f/f**23)/f*f*f*f*f*f**(-8/9)*f*f*f*f**21 assuming f is positive.\n' | b'f**(371/99)\n' | deepmind/math_dataset |
b'Simplify ((x**1/x)**41)**(-11) assuming x is positive.\n' | b'1\n' | b'Simplify ((x**1/x)**41)**(-11) assuming x is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((((r*r**(6/5)*r)/r)/r)/(r**(-7)/r))**(-5/8)*((r**(1/3)*r)/r*r*r**(-6))**(-43) assuming r is positive.\n' | b'r**(2339/12)\n' | b'Simplify ((((r*r**(6/5)*r)/r)/r)/(r**(-7)/r))**(-5/8)*((r**(1/3)*r)/r*r*r**(-6))**(-43) assuming r is positive.\n' | b'r**(2339/12)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 2, x: 2}. Give prob of sequence rxxr.\n' | b'1/6\n' | b'Four letters picked without replacement from {r: 2, x: 2}. Give prob of sequence rxxr.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let m(j) = j**3 - 13*j**2 - 15*j + 12. Let a(t) = -t**3 - 20*t**2 - 34*t + 31. Let h be a(-17). Let c = -244 - h. Determine m(c).\n' | b'-2\n' | b'Let m(j) = j**3 - 13*j**2 - 15*j + 12. Let a(t) = -t**3 - 20*t**2 - 34*t + 31. Let h be a(-17). Let c = -244 - h. Determine m(c).\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ftebffcztcebcet. Give prob of picking 1 t and 1 f.\n' | b'3/35\n' | b'Two letters picked without replacement from ftebffcztcebcet. Give prob of picking 1 t and 1 f.\n' | b'3/35\n' | deepmind/math_dataset |
b'What is prob of sequence gg when two letters picked without replacement from {f: 2, m: 5, g: 5}?\n' | b'5/33\n' | b'What is prob of sequence gg when two letters picked without replacement from {f: 2, m: 5, g: 5}?\n' | b'5/33\n' | deepmind/math_dataset |
b'What is prob of picking 1 v and 1 x when two letters picked without replacement from xxvxvxxvxvxxxxvxvxx?\n' | b'26/57\n' | b'What is prob of picking 1 v and 1 x when two letters picked without replacement from xxvxvxxvxvxxxxvxvxx?\n' | b'26/57\n' | deepmind/math_dataset |
b'Simplify ((k**(-12)*k)/k*k*(k**10/k*k*k)/k)/((k/((k/((k/k**(-1/12)*k)/k))/k))/k**(5/3)) assuming k is positive.\n' | b'k**(-17/12)\n' | b'Simplify ((k**(-12)*k)/k*k*(k**10/k*k*k)/k)/((k/((k/((k/k**(-1/12)*k)/k))/k))/k**(5/3)) assuming k is positive.\n' | b'k**(-17/12)\n' | deepmind/math_dataset |
b'Simplify (q*q**(1/3))**(-11/2)/(q**(-1/3))**(5/7)*q**(-6)*q**(-3)*(q/((q/((q*q/(((q*q**(-1/7))/q)/q))/q))/q))/q**(-4) assuming q is positive.\n' | b'q**(-188/21)\n' | b'Simplify (q*q**(1/3))**(-11/2)/(q**(-1/3))**(5/7)*q**(-6)*q**(-3)*(q/((q/((q*q/(((q*q**(-1/7))/q)/q))/q))/q))/q**(-4) assuming q is positive.\n' | b'q**(-188/21)\n' | deepmind/math_dataset |
b'Let l(q) = -q**3 + 5*q**2 - 5*q - 2. Suppose 9 + 11 = 5*g. Calculate l(g).\n' | b'-6\n' | b'Let l(q) = -q**3 + 5*q**2 - 5*q - 2. Suppose 9 + 11 = 5*g. Calculate l(g).\n' | b'-6\n' | deepmind/math_dataset |
b'What is prob of sequence vwj when three letters picked without replacement from oooojooowoojv?\n' | b'1/858\n' | b'What is prob of sequence vwj when three letters picked without replacement from oooojooowoojv?\n' | b'1/858\n' | deepmind/math_dataset |
b'Let x = -35 - -36. Let n(z) = -z**3 - z**2 - z. Let h(b) = 4*b**3 - 4*b**2 - 13*b. Let j(g) = x*h(g) - 4*n(g). Find the second derivative of j(d) wrt d.\n' | b'48*d\n' | b'Let x = -35 - -36. Let n(z) = -z**3 - z**2 - z. Let h(b) = 4*b**3 - 4*b**2 - 13*b. Let j(g) = x*h(g) - 4*n(g). Find the second derivative of j(d) wrt d.\n' | b'48*d\n' | deepmind/math_dataset |
b'Let l(j) = -2*j**2 + 3. Let a(p) = p**2 - 1. Let c(g) = -a(g) - l(g). Let x be c(2). Let b = 17 - 12. Solve 0 = -3*r - 9, x*n + 0*n + 11 = -b*r for n.\n' | b'2\n' | b'Let l(j) = -2*j**2 + 3. Let a(p) = p**2 - 1. Let c(g) = -a(g) - l(g). Let x be c(2). Let b = 17 - 12. Solve 0 = -3*r - 9, x*n + 0*n + 11 = -b*r for n.\n' | b'2\n' | deepmind/math_dataset |
b'Let l = -144 + 160. What is the first derivative of 2315*v**2 - 2291*v**2 + l + 16 wrt v?\n' | b'48*v\n' | b'Let l = -144 + 160. What is the first derivative of 2315*v**2 - 2291*v**2 + l + 16 wrt v?\n' | b'48*v\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 j and 1 s when four letters picked without replacement from jsssjjhshsjssjjhjjj.\n' | b'49/323\n' | b'Calculate prob of picking 3 j and 1 s when four letters picked without replacement from jsssjjhshsjssjjhjjj.\n' | b'49/323\n' | deepmind/math_dataset |
b'Let k(m) = 3. Let n(w) = w - 12. Let p be n(11). Let b(s) = -s**2. Let r(f) = p*b(f) - k(f). What is the first derivative of r(g) wrt g?\n' | b'2*g\n' | b'Let k(m) = 3. Let n(w) = w - 12. Let p be n(11). Let b(s) = -s**2. Let r(f) = p*b(f) - k(f). What is the first derivative of r(g) wrt g?\n' | b'2*g\n' | deepmind/math_dataset |
b'Let a(f) be the first derivative of f**9/1512 - f**6/120 - 2*f**3/3 - 1. Let u(t) be the third derivative of a(t). What is the third derivative of u(k) wrt k?\n' | b'120*k**2\n' | b'Let a(f) be the first derivative of f**9/1512 - f**6/120 - 2*f**3/3 - 1. Let u(t) be the third derivative of a(t). What is the third derivative of u(k) wrt k?\n' | b'120*k**2\n' | deepmind/math_dataset |
b'Let d(u) be the third derivative of u**5/60 + u**4/24 - u**3/3 + 109*u**2. Give d(4).\n' | b'18\n' | b'Let d(u) be the third derivative of u**5/60 + u**4/24 - u**3/3 + 109*u**2. Give d(4).\n' | b'18\n' | deepmind/math_dataset |
b'What is prob of picking 2 k when two letters picked without replacement from kkkkkkkkkkhkkkkkkkk?\n' | b'17/19\n' | b'What is prob of picking 2 k when two letters picked without replacement from kkkkkkkkkkhkkkkkkkk?\n' | b'17/19\n' | deepmind/math_dataset |
b'Let i = 6 - -4. Suppose -3 = -u - 11. Let v(x) = x**3 + 7*x**2 - 7*x + 11. Let f be v(u). Solve 3*q + w + 20 = 0, f*w = 2*q + 3*q + i for q.\n' | b'-5\n' | b'Let i = 6 - -4. Suppose -3 = -u - 11. Let v(x) = x**3 + 7*x**2 - 7*x + 11. Let f be v(u). Solve 3*q + w + 20 = 0, f*w = 2*q + 3*q + i for q.\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from pelfske. Give prob of sequence eklp.\n' | b'1/420\n' | b'Four letters picked without replacement from pelfske. Give prob of sequence eklp.\n' | b'1/420\n' | deepmind/math_dataset |
b'Let w(n) = -2*n + 14 - 5*n - 5*n**2 + 15*n + 7*n. Let g(q) = -3*q**2 + 14*q + 13. Let h(d) = -3*g(d) + 2*w(d). Give h(-12).\n' | b'-11\n' | b'Let w(n) = -2*n + 14 - 5*n - 5*n**2 + 15*n + 7*n. Let g(q) = -3*q**2 + 14*q + 13. Let h(d) = -3*g(d) + 2*w(d). Give h(-12).\n' | b'-11\n' | deepmind/math_dataset |
b'What is prob of sequence qjq when three letters picked without replacement from {o: 1, q: 5, a: 1, m: 5, n: 2, j: 1}?\n' | b'2/273\n' | b'What is prob of sequence qjq when three letters picked without replacement from {o: 1, q: 5, a: 1, m: 5, n: 2, j: 1}?\n' | b'2/273\n' | deepmind/math_dataset |
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