question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Let w = -2 - -17. Find the second derivative of -4*m**4 + w*m + m**4 + m**4 wrt m.\n' | b'-24*m**2\n' | b'Let w = -2 - -17. Find the second derivative of -4*m**4 + w*m + m**4 + m**4 wrt m.\n' | b'-24*m**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nnnonzjznyzo. What is prob of picking 1 n, 1 j, and 2 z?\n' | b'1/33\n' | b'Four letters picked without replacement from nnnonzjznyzo. What is prob of picking 1 n, 1 j, and 2 z?\n' | b'1/33\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 1, n: 1, k: 2}. What is prob of picking 1 n, 1 t, and 1 k?\n' | b'1/2\n' | b'Three letters picked without replacement from {t: 1, n: 1, k: 2}. What is prob of picking 1 n, 1 t, and 1 k?\n' | b'1/2\n' | deepmind/math_dataset |
b'What is prob of sequence dtvf when four letters picked without replacement from fkdvvyt?\n' | b'1/420\n' | b'What is prob of sequence dtvf when four letters picked without replacement from fkdvvyt?\n' | b'1/420\n' | deepmind/math_dataset |
b'Let p(k) = -2*k + 5. Let i(z) = z**2 - 16*z + 19. Let v be i(15). What is p(v)?\n' | b'-3\n' | b'Let p(k) = -2*k + 5. Let i(z) = z**2 - 16*z + 19. Let v be i(15). What is p(v)?\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 2 s when two letters picked without replacement from {s: 3, f: 4}?\n' | b'1/7\n' | b'What is prob of picking 2 s when two letters picked without replacement from {s: 3, f: 4}?\n' | b'1/7\n' | deepmind/math_dataset |
b'Simplify x**(-2/45)*x**(-29) assuming x is positive.\n' | b'x**(-1307/45)\n' | b'Simplify x**(-2/45)*x**(-29) assuming x is positive.\n' | b'x**(-1307/45)\n' | deepmind/math_dataset |
b'Let i(a) = -40622*a - 6*a**2 + a**3 + 23 + 40637*a + 18*a**2. What is i(-12)?\n' | b'-157\n' | b'Let i(a) = -40622*a - 6*a**2 + a**3 + 23 + 40637*a + 18*a**2. What is i(-12)?\n' | b'-157\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 e and 1 a when two letters picked without replacement from {n: 2, b: 3, e: 5, a: 2}.\n' | b'5/33\n' | b'Calculate prob of picking 1 e and 1 a when two letters picked without replacement from {n: 2, b: 3, e: 5, a: 2}.\n' | b'5/33\n' | deepmind/math_dataset |
b'Let f be (0 - 2) + -3*(-15)/9. Let b(n) = n**3 - 7*n**2 + 7*n - 3. Let y be b(6). Suppose f = y*x - 3. Solve -12 = -4*k + x*a, k + 9 = 6*k - 4*a for k.\n' | b'5\n' | b'Let f be (0 - 2) + -3*(-15)/9. Let b(n) = n**3 - 7*n**2 + 7*n - 3. Let y be b(6). Suppose f = y*x - 3. Solve -12 = -4*k + x*a, k + 9 = 6*k - 4*a for k.\n' | b'5\n' | deepmind/math_dataset |
b'Let z(b) be the first derivative of 0*b + 1 - 1/3*b**3 + 1/2*b**4 + 0*b**2. What is the third derivative of z(j) wrt j?\n' | b'12\n' | b'Let z(b) be the first derivative of 0*b + 1 - 1/3*b**3 + 1/2*b**4 + 0*b**2. What is the third derivative of z(j) wrt j?\n' | b'12\n' | deepmind/math_dataset |
b'What is prob of sequence qk when two letters picked without replacement from dkkkqukkudkkkk?\n' | b'9/182\n' | b'What is prob of sequence qk when two letters picked without replacement from dkkkqukkudkkkk?\n' | b'9/182\n' | deepmind/math_dataset |
b'Let n be (-44)/3*(-234)/429. Solve n = 4*c + 3*a - a, 0 = 3*c + a - 6 for c.\n' | b'2\n' | b'Let n be (-44)/3*(-234)/429. Solve n = 4*c + 3*a - a, 0 = 3*c + a - 6 for c.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 0 = -2*a - 2 + 12. Suppose 0 = a*i - 0*i - 10. Solve 20 = -5*n - 2*y, i*y + 8 = -0*n - 2*n for n.\n' | b'-4\n' | b'Suppose 0 = -2*a - 2 + 12. Suppose 0 = a*i - 0*i - 10. Solve 20 = -5*n - 2*y, i*y + 8 = -0*n - 2*n for n.\n' | b'-4\n' | deepmind/math_dataset |
b'Let z = -19 + 19. Let c(y) = y**2 + 2*y - 8. Let h(x) = x**2 + x - 9. Let t(m) = 2*c(m) - 3*h(m). Determine t(z).\n' | b'11\n' | b'Let z = -19 + 19. Let c(y) = y**2 + 2*y - 8. Let h(x) = x**2 + x - 9. Let t(m) = 2*c(m) - 3*h(m). Determine t(z).\n' | b'11\n' | deepmind/math_dataset |
b'Three letters picked without replacement from aaazzazzkakzzzazz. What is prob of sequence azk?\n' | b'9/340\n' | b'Three letters picked without replacement from aaazzazzkakzzzazz. What is prob of sequence azk?\n' | b'9/340\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 3, e: 1, p: 12}. What is prob of picking 1 p and 1 c?\n' | b'3/10\n' | b'Two letters picked without replacement from {c: 3, e: 1, p: 12}. What is prob of picking 1 p and 1 c?\n' | b'3/10\n' | deepmind/math_dataset |
b'Let p(y) = 3*y**2 - 2*y - 1. Let m be p(-1). Let i(a) = 5*a. Let d be i(2). Suppose -m*h = -9*h + d. Solve 3*b + 4*g = -7 + 16, -h*b + 3*g - 11 = 0 for b.\n' | b'-1\n' | b'Let p(y) = 3*y**2 - 2*y - 1. Let m be p(-1). Let i(a) = 5*a. Let d be i(2). Suppose -m*h = -9*h + d. Solve 3*b + 4*g = -7 + 16, -h*b + 3*g - 11 = 0 for b.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -3*o = -2*w + 25, 6*o = 11*o + 4*w + 49. Let h(m) = -m**2 - 8*m + 3. Determine h(o).\n' | b'-6\n' | b'Suppose -3*o = -2*w + 25, 6*o = 11*o + 4*w + 49. Let h(m) = -m**2 - 8*m + 3. Determine h(o).\n' | b'-6\n' | deepmind/math_dataset |
b'Calculate prob of sequence hym when three letters picked without replacement from mohyoohoo.\n' | b'1/252\n' | b'Calculate prob of sequence hym when three letters picked without replacement from mohyoohoo.\n' | b'1/252\n' | deepmind/math_dataset |
b'Simplify ((z**(1/3))**(-4/5))**15/(((z/z**2)/z)/(z*z*z*z*(z**7/z*z)/z*z*z))**(3/2) assuming z is positive.\n' | b'z**17\n' | b'Simplify ((z**(1/3))**(-4/5))**15/(((z/z**2)/z)/(z*z*z*z*(z**7/z*z)/z*z*z))**(3/2) assuming z is positive.\n' | b'z**17\n' | deepmind/math_dataset |
b'Let n(f) = f**2 - 10*f + 9. Let x(i) be the first derivative of -i**3/3 + 11*i**2/2 - 10*i + 5. Let w(c) = 7*n(c) + 6*x(c). Give w(3).\n' | b'0\n' | b'Let n(f) = f**2 - 10*f + 9. Let x(i) be the first derivative of -i**3/3 + 11*i**2/2 - 10*i + 5. Let w(c) = 7*n(c) + 6*x(c). Give w(3).\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -12 = -0*k - 2*k. Let b(s) be the first derivative of 253 - s**2 + 1/3*s**3 - 8*s. Determine b(k).\n' | b'16\n' | b'Suppose -12 = -0*k - 2*k. Let b(s) be the first derivative of 253 - s**2 + 1/3*s**3 - 8*s. Determine b(k).\n' | b'16\n' | deepmind/math_dataset |
b'Let p(q) = -q**2 + 16*q - 4. Let s be p(16). Let h be ((-21)/2)/(2/s). Find the second derivative of -12*u - 13*u + h*u - 7*u**3 wrt u.\n' | b'-42*u\n' | b'Let p(q) = -q**2 + 16*q - 4. Let s be p(16). Let h be ((-21)/2)/(2/s). Find the second derivative of -12*u - 13*u + h*u - 7*u**3 wrt u.\n' | b'-42*u\n' | deepmind/math_dataset |
b'What is prob of picking 2 t, 1 x, and 1 q when four letters picked without replacement from qtxtoxooefqx?\n' | b'2/165\n' | b'What is prob of picking 2 t, 1 x, and 1 q when four letters picked without replacement from qtxtoxooefqx?\n' | b'2/165\n' | deepmind/math_dataset |
b'Suppose -4*l + 10 + 6 = 0. Solve 0 = -t - u + l, t + 4*u - 16 = -0*u for t.\n' | b'0\n' | b'Suppose -4*l + 10 + 6 = 0. Solve 0 = -t - u + l, t + 4*u - 16 = -0*u for t.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 2 t, 1 m, and 1 p when four letters picked without replacement from {x: 9, m: 4, p: 1, t: 2}?\n' | b'1/455\n' | b'What is prob of picking 2 t, 1 m, and 1 p when four letters picked without replacement from {x: 9, m: 4, p: 1, t: 2}?\n' | b'1/455\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 2, p: 7}. What is prob of picking 1 p and 1 c?\n' | b'7/18\n' | b'Two letters picked without replacement from {c: 2, p: 7}. What is prob of picking 1 p and 1 c?\n' | b'7/18\n' | deepmind/math_dataset |
b'Simplify (((d*d/((d/d**(1/5))/d)*d**9)/(d*d**(-1/3))**(-21))**(2/79))**50 assuming d is positive.\n' | b'd**(2520/79)\n' | b'Simplify (((d*d/((d/d**(1/5))/d)*d**9)/(d*d**(-1/3))**(-21))**(2/79))**50 assuming d is positive.\n' | b'd**(2520/79)\n' | deepmind/math_dataset |
b'Simplify h**12/(h*h/h**(-3/11)*h) assuming h is positive.\n' | b'h**(96/11)\n' | b'Simplify h**12/(h*h/h**(-3/11)*h) assuming h is positive.\n' | b'h**(96/11)\n' | deepmind/math_dataset |
b'Suppose n + 25 = 2*u + 34, 0 = 5*n - u - 27. Solve y - v - 5 = 0, -3*y - n*v = -5*y + 22 for y.\n' | b'1\n' | b'Suppose n + 25 = 2*u + 34, 0 = 5*n - u - 27. Solve y - v - 5 = 0, -3*y - n*v = -5*y + 22 for y.\n' | b'1\n' | deepmind/math_dataset |
b'Let t(l) = -l**3 + 15*l**2 - 25*l - 7. Let f be t(13). Suppose -2*n = -2*j + 6, -2*n + 6 = j - f*n. Solve -4*g + 2*r = 20, -r - 6 = j*g + 4 for g.\n' | b'-5\n' | b'Let t(l) = -l**3 + 15*l**2 - 25*l - 7. Let f be t(13). Suppose -2*n = -2*j + 6, -2*n + 6 = j - f*n. Solve -4*g + 2*r = 20, -r - 6 = j*g + 4 for g.\n' | b'-5\n' | deepmind/math_dataset |
b'Let s(m) = m**2 - 14*m - 39. Let i be s(15). Let h = 43 + i. Solve 0 = -4*b + w - h, 3 = -w + 2 for b.\n' | b'-5\n' | b'Let s(m) = m**2 - 14*m - 39. Let i be s(15). Let h = 43 + i. Solve 0 = -4*b + w - h, 3 = -w + 2 for b.\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 3, p: 1, h: 1}. Give prob of sequence hprr.\n' | b'1/20\n' | b'Four letters picked without replacement from {r: 3, p: 1, h: 1}. Give prob of sequence hprr.\n' | b'1/20\n' | deepmind/math_dataset |
b'Simplify ((c**(1/3)/c)**(-38/5)/(c/c**(-1/4)*c)**49)**(-2/39) assuming c is positive.\n' | b'c**(6311/1170)\n' | b'Simplify ((c**(1/3)/c)**(-38/5)/(c/c**(-1/4)*c)**49)**(-2/39) assuming c is positive.\n' | b'c**(6311/1170)\n' | deepmind/math_dataset |
b'Let k(t) be the first derivative of -3*t**2/2 + 10*t - 20. Let b be k(2). Solve 2*f + 18 = b*h, -h = -2*f - 3*h + 6 for f.\n' | b'-1\n' | b'Let k(t) be the first derivative of -3*t**2/2 + 10*t - 20. Let b be k(2). Solve 2*f + 18 = b*h, -h = -2*f - 3*h + 6 for f.\n' | b'-1\n' | deepmind/math_dataset |
b'Let w(v) = -2*v - 18. Let h be w(-10). Solve 8 = 3*q - 7, -3*q + 25 = -h*u for u.\n' | b'-5\n' | b'Let w(v) = -2*v - 18. Let h be w(-10). Solve 8 = 3*q - 7, -3*q + 25 = -h*u for u.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 5*c = -286 + 276. Let g(t) = -12*t. Let x be g(c). Solve 5*n - 3*k = -4 - x, -k + 26 = -5*n for n.\n' | b'-5\n' | b'Suppose 5*c = -286 + 276. Let g(t) = -12*t. Let x be g(c). Solve 5*n - 3*k = -4 - x, -k + 26 = -5*n for n.\n' | b'-5\n' | deepmind/math_dataset |
b'Let r(a) = -a**2 - 10*a + 13. Let f be r(-9). Suppose u - f = 4*o, 0*u - u = -o - 7. Let v(d) = 4*d + 3 - 4 - u*d. Determine v(-1).\n' | b'-3\n' | b'Let r(a) = -a**2 - 10*a + 13. Let f be r(-9). Suppose u - f = 4*o, 0*u - u = -o - 7. Let v(d) = 4*d + 3 - 4 - u*d. Determine v(-1).\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -w - 2 + 4 = 0. Let j = w + -3. Let g(n) = -8*n**2 - n. Give g(j).\n' | b'-7\n' | b'Suppose -w - 2 + 4 = 0. Let j = w + -3. Let g(n) = -8*n**2 - n. Give g(j).\n' | b'-7\n' | deepmind/math_dataset |
b'Let a(y) = -13*y + 11. Let x be a(-4). Let w(i) = 4*i**2 + 2*i**2 - 3 - 4*i + x*i**3 - 64*i**3 + 6. Let k = 6 - 1. What is w(k)?\n' | b'8\n' | b'Let a(y) = -13*y + 11. Let x be a(-4). Let w(i) = 4*i**2 + 2*i**2 - 3 - 4*i + x*i**3 - 64*i**3 + 6. Let k = 6 - 1. What is w(k)?\n' | b'8\n' | deepmind/math_dataset |
b'What is prob of sequence yey when three letters picked without replacement from {y: 4, e: 2}?\n' | b'1/5\n' | b'What is prob of sequence yey when three letters picked without replacement from {y: 4, e: 2}?\n' | b'1/5\n' | deepmind/math_dataset |
b'Let r(a) = 5*a**2 + 6*a - 6. Let o(g) = 4*g**2 + 5*g - 5. Suppose -x = -7 + 2. Let i be 1*-2 + (-20)/5. Let n(p) = i*o(p) + x*r(p). Calculate n(-3).\n' | b'9\n' | b'Let r(a) = 5*a**2 + 6*a - 6. Let o(g) = 4*g**2 + 5*g - 5. Suppose -x = -7 + 2. Let i be 1*-2 + (-20)/5. Let n(p) = i*o(p) + x*r(p). Calculate n(-3).\n' | b'9\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 1, e: 1, c: 1}. Give prob of sequence ea.\n' | b'1/6\n' | b'Two letters picked without replacement from {a: 1, e: 1, c: 1}. Give prob of sequence ea.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let i(p) = -15*p**2 - 92*p + 13*p**2 + 94*p. Let f be i(2). Let u(x) = -x**2 - 6*x - 5. Determine u(f).\n' | b'3\n' | b'Let i(p) = -15*p**2 - 92*p + 13*p**2 + 94*p. Let f be i(2). Let u(x) = -x**2 - 6*x - 5. Determine u(f).\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence dep when three letters picked without replacement from {h: 3, e: 1, p: 1, d: 7, b: 2}.\n' | b'1/312\n' | b'Calculate prob of sequence dep when three letters picked without replacement from {h: 3, e: 1, p: 1, d: 7, b: 2}.\n' | b'1/312\n' | deepmind/math_dataset |
b'Let m(z) = -z**2 + 6*z - 1. Let l(b) = -5226*b**2 + 58*b - 72. Let s(y) = l(y) - 8*m(y). Find the second derivative of s(i) wrt i.\n' | b'-10436\n' | b'Let m(z) = -z**2 + 6*z - 1. Let l(b) = -5226*b**2 + 58*b - 72. Let s(y) = l(y) - 8*m(y). Find the second derivative of s(i) wrt i.\n' | b'-10436\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ppdddpppdpdp. Give prob of picking 4 p.\n' | b'7/99\n' | b'Four letters picked without replacement from ppdddpppdpdp. Give prob of picking 4 p.\n' | b'7/99\n' | deepmind/math_dataset |
b'Let d(v) = -3*v - 2*v**2 + v**2 + 8*v - v - v**3. Suppose 5*u + 3*y + 4 = -17, 4*u + 10 = y. What is d(u)?\n' | b'6\n' | b'Let d(v) = -3*v - 2*v**2 + v**2 + 8*v - v - v**3. Suppose 5*u + 3*y + 4 = -17, 4*u + 10 = y. What is d(u)?\n' | b'6\n' | deepmind/math_dataset |
b'Find the third derivative of 1 + 54*b**2 + 5*b**4 - 47*b**2 - 1 wrt b.\n' | b'120*b\n' | b'Find the third derivative of 1 + 54*b**2 + 5*b**4 - 47*b**2 - 1 wrt b.\n' | b'120*b\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 p when two letters picked without replacement from {t: 4, f: 1, p: 2, s: 2, i: 1}.\n' | b'1/45\n' | b'Calculate prob of picking 2 p when two letters picked without replacement from {t: 4, f: 1, p: 2, s: 2, i: 1}.\n' | b'1/45\n' | deepmind/math_dataset |
b'Let d(l) = l**3 + l + 1. Let c(n) = 4*n + 4 + 0 + 3*n**2 - 7*n**3 + 8*n**3 - 10*n**2. Let m(b) = c(b) - 4*d(b). What is the third derivative of m(i) wrt i?\n' | b'-18\n' | b'Let d(l) = l**3 + l + 1. Let c(n) = 4*n + 4 + 0 + 3*n**2 - 7*n**3 + 8*n**3 - 10*n**2. Let m(b) = c(b) - 4*d(b). What is the third derivative of m(i) wrt i?\n' | b'-18\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 1 c when two letters picked without replacement from {i: 11, u: 2, w: 1, c: 1}?\n' | b'2/105\n' | b'What is prob of picking 1 u and 1 c when two letters picked without replacement from {i: 11, u: 2, w: 1, c: 1}?\n' | b'2/105\n' | deepmind/math_dataset |
b'Simplify ((x**(7/3)/x**0)/(((x**(-18)*x)/x)/x**(4/7)))**48 assuming x is positive.\n' | b'x**(7024/7)\n' | b'Simplify ((x**(7/3)/x**0)/(((x**(-18)*x)/x)/x**(4/7)))**48 assuming x is positive.\n' | b'x**(7024/7)\n' | deepmind/math_dataset |
b'Let u(q) = 6*q**3 - 3*q**2 - 9. Let t(o) = o**3 - 1. Suppose 5*h + 5 = 15. Let f(l) = h*u(l) - 18*t(l). Find the third derivative of f(n) wrt n.\n' | b'-36\n' | b'Let u(q) = 6*q**3 - 3*q**2 - 9. Let t(o) = o**3 - 1. Suppose 5*h + 5 = 15. Let f(l) = h*u(l) - 18*t(l). Find the third derivative of f(n) wrt n.\n' | b'-36\n' | deepmind/math_dataset |
b'What is prob of sequence ee when two letters picked without replacement from ueeuueeueuue?\n' | b'5/22\n' | b'What is prob of sequence ee when two letters picked without replacement from ueeuueeueuue?\n' | b'5/22\n' | deepmind/math_dataset |
b'Suppose -3*d = 4*s + 7, -1 = 3*d + 14. Let p(x) = -x**3 - x. Let g(y) = -5*y**3 - 3*y**2 - 4*y + 2. Let f(c) = -g(c) + 6*p(c). What is f(s)?\n' | b'-2\n' | b'Suppose -3*d = 4*s + 7, -1 = 3*d + 14. Let p(x) = -x**3 - x. Let g(y) = -5*y**3 - 3*y**2 - 4*y + 2. Let f(c) = -g(c) + 6*p(c). What is f(s)?\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zbbzyzbygyzxkbgxzyyx. What is prob of picking 1 k and 1 y?\n' | b'1/38\n' | b'Two letters picked without replacement from zbbzyzbygyzxkbgxzyyx. What is prob of picking 1 k and 1 y?\n' | b'1/38\n' | deepmind/math_dataset |
b'What is prob of sequence gw when two letters picked without replacement from ddgwdgcdewwdcdc?\n' | b'1/35\n' | b'What is prob of sequence gw when two letters picked without replacement from ddgwdgcdewwdcdc?\n' | b'1/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ysbbybbbssyybyybs. Give prob of picking 2 s.\n' | b'3/68\n' | b'Two letters picked without replacement from ysbbybbbssyybyybs. Give prob of picking 2 s.\n' | b'3/68\n' | deepmind/math_dataset |
b'Suppose -4*v + 164 = 68. Suppose -11*k = -v - 20. Solve 10 = -5*r + 5*u, -k*u = -5*r + 7 - 17 for r.\n' | b'-2\n' | b'Suppose -4*v + 164 = 68. Suppose -11*k = -v - 20. Solve 10 = -5*r + 5*u, -k*u = -5*r + 7 - 17 for r.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of sequence xmmx when four letters picked without replacement from rmmxx?\n' | b'1/30\n' | b'What is prob of sequence xmmx when four letters picked without replacement from rmmxx?\n' | b'1/30\n' | deepmind/math_dataset |
b'Four letters picked without replacement from srsfrf. What is prob of picking 2 r and 2 f?\n' | b'1/15\n' | b'Four letters picked without replacement from srsfrf. What is prob of picking 2 r and 2 f?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let k(b) = b**3 - 10*b**2 - 1. Suppose 3*z + 13 = s + 4, -5*s = 5*z + 15. Suppose s = -0*y + 3*y - 6. Suppose 30 = y*w + w. Calculate k(w).\n' | b'-1\n' | b'Let k(b) = b**3 - 10*b**2 - 1. Suppose 3*z + 13 = s + 4, -5*s = 5*z + 15. Suppose s = -0*y + 3*y - 6. Suppose 30 = y*w + w. Calculate k(w).\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 w and 1 c when two letters picked without replacement from {p: 1, w: 1, i: 1, c: 2}.\n' | b'1/5\n' | b'Calculate prob of picking 1 w and 1 c when two letters picked without replacement from {p: 1, w: 1, i: 1, c: 2}.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let o(u) = -2*u + 2. Let g(t) = t**2 + 18*t + 20. Let r be g(-17). Let h(i) = -6*i + 6. Let p(n) = r*h(n) - 8*o(n). Calculate p(8).\n' | b'-14\n' | b'Let o(u) = -2*u + 2. Let g(t) = t**2 + 18*t + 20. Let r be g(-17). Let h(i) = -6*i + 6. Let p(n) = r*h(n) - 8*o(n). Calculate p(8).\n' | b'-14\n' | deepmind/math_dataset |
b'What is prob of picking 1 s, 1 p, and 1 j when three letters picked without replacement from {s: 1, p: 2, j: 7}?\n' | b'7/60\n' | b'What is prob of picking 1 s, 1 p, and 1 j when three letters picked without replacement from {s: 1, p: 2, j: 7}?\n' | b'7/60\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 y and 1 j when three letters picked without replacement from {c: 5, j: 9, y: 2}.\n' | b'9/560\n' | b'Calculate prob of picking 2 y and 1 j when three letters picked without replacement from {c: 5, j: 9, y: 2}.\n' | b'9/560\n' | deepmind/math_dataset |
b'Let l(r) be the second derivative of r**3/3 + r**2 + 5*r. Let w be l(0). Solve 0 = -w*t + 3*m - 6 - 3, -2*t + 2*m = 8 for t.\n' | b'-3\n' | b'Let l(r) be the second derivative of r**3/3 + r**2 + 5*r. Let w be l(0). Solve 0 = -w*t + 3*m - 6 - 3, -2*t + 2*m = 8 for t.\n' | b'-3\n' | deepmind/math_dataset |
b'Let m = -2 - -8. Let w be (28/(-3))/((-4)/m). Suppose -3*k + w - 2 = 0. Solve -1 = -x + k*d, -3*d + 21 = 5*x - 7*d for x.\n' | b'5\n' | b'Let m = -2 - -8. Let w be (28/(-3))/((-4)/m). Suppose -3*k + w - 2 = 0. Solve -1 = -x + k*d, -3*d + 21 = 5*x - 7*d for x.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence vjjz when four letters picked without replacement from vzjvvvvvzvvj.\n' | b'4/1485\n' | b'Calculate prob of sequence vjjz when four letters picked without replacement from vzjvvvvvzvvj.\n' | b'4/1485\n' | deepmind/math_dataset |
b'Simplify p**(1/9)*p*p**(-5)*(p**(-1/19))**(1/33) assuming p is positive.\n' | b'p**(-7318/1881)\n' | b'Simplify p**(1/9)*p*p**(-5)*(p**(-1/19))**(1/33) assuming p is positive.\n' | b'p**(-7318/1881)\n' | deepmind/math_dataset |
b'Let q(k) be the third derivative of k**8/20160 + k**7/840 + k**6/144 - k**5/30 + 3*k**2. Let l(u) be the third derivative of q(u). Determine l(-6).\n' | b'5\n' | b'Let q(k) be the third derivative of k**8/20160 + k**7/840 + k**6/144 - k**5/30 + 3*k**2. Let l(u) be the third derivative of q(u). Determine l(-6).\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {q: 4, i: 7, l: 3, u: 2, p: 2}. What is prob of sequence lllu?\n' | b'1/6120\n' | b'Four letters picked without replacement from {q: 4, i: 7, l: 3, u: 2, p: 2}. What is prob of sequence lllu?\n' | b'1/6120\n' | deepmind/math_dataset |
b'Simplify j**(-2/19)/j**(10/7)*(j*j**10)/(j/(j**(-2/3)/j)*j) assuming j is positive.\n' | b'j**(2314/399)\n' | b'Simplify j**(-2/19)/j**(10/7)*(j*j**10)/(j/(j**(-2/3)/j)*j) assuming j is positive.\n' | b'j**(2314/399)\n' | deepmind/math_dataset |
b'Let k(j) = j**3 + 3*j**2 - 7*j. Let y(q) = q**3 + 3*q**2 - 8*q - 1. Let c(u) = -5*k(u) + 4*y(u). Let r(f) = f**3 + 6*f**2 - 16*f - 4. Let p be r(-8). Give c(p).\n' | b'0\n' | b'Let k(j) = j**3 + 3*j**2 - 7*j. Let y(q) = q**3 + 3*q**2 - 8*q - 1. Let c(u) = -5*k(u) + 4*y(u). Let r(f) = f**3 + 6*f**2 - 16*f - 4. Let p be r(-8). Give c(p).\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 5*n - r + 11 = 0, 4*r - r = 3. Let c be n/3 - -20*6/18. Solve 2*v - 3*l + c = 0, -l = -4*v + v + 5 for v.\n' | b'3\n' | b'Suppose 5*n - r + 11 = 0, 4*r - r = 3. Let c be n/3 - -20*6/18. Solve 2*v - 3*l + c = 0, -l = -4*v + v + 5 for v.\n' | b'3\n' | deepmind/math_dataset |
b'Let g(y) = -4*y**2 - 3*y + 2. Suppose -4*w = -0*w - 20. Let n(q) = -7*q**2 - 7*q + 3. Let b(o) = w*g(o) - 3*n(o). What is b(-4)?\n' | b'-7\n' | b'Let g(y) = -4*y**2 - 3*y + 2. Suppose -4*w = -0*w - 20. Let n(q) = -7*q**2 - 7*q + 3. Let b(o) = w*g(o) - 3*n(o). What is b(-4)?\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify (x/(x*x/(x/((((x**16/x)/x)/x)/x)*x)))**(2/87)/(x**25)**(1/52) assuming x is positive.\n' | b'x**(-3319/4524)\n' | b'Simplify (x/(x*x/(x/((((x**16/x)/x)/x)/x)*x)))**(2/87)/(x**25)**(1/52) assuming x is positive.\n' | b'x**(-3319/4524)\n' | deepmind/math_dataset |
b'Simplify (((z/(z/(z/z**(2/3))))**(-43))**(-43/2))**(-16/7) assuming z is positive.\n' | b'z**(-14792/21)\n' | b'Simplify (((z/(z/(z/z**(2/3))))**(-43))**(-43/2))**(-16/7) assuming z is positive.\n' | b'z**(-14792/21)\n' | deepmind/math_dataset |
b'Suppose -5*l - q = -1 - 21, -2*l + 4*q = 0. Solve -5*y - 5*c = -l*c + 25, 0 = -y + 5*c - 5 for y.\n' | b'-5\n' | b'Suppose -5*l - q = -1 - 21, -2*l + 4*q = 0. Solve -5*y - 5*c = -l*c + 25, 0 = -y + 5*c - 5 for y.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((z**(-1/3)/z)**(-11/3)/(z**(-1)/z*z**5))**22 assuming z is positive.\n' | b'z**(374/9)\n' | b'Simplify ((z**(-1/3)/z)**(-11/3)/(z**(-1)/z*z**5))**22 assuming z is positive.\n' | b'z**(374/9)\n' | deepmind/math_dataset |
b'Let j(p) = 25*p**2 - 13*p**2 + 14 - 26*p - 11*p**2. Let t be j(26). Solve 4*c - t = -3*w + 11, 0 = -5*w + 5*c - 5 for w.\n' | b'3\n' | b'Let j(p) = 25*p**2 - 13*p**2 + 14 - 26*p - 11*p**2. Let t be j(26). Solve 4*c - t = -3*w + 11, 0 = -5*w + 5*c - 5 for w.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 f when three letters picked without replacement from faaffaafafaaa.\n' | b'5/143\n' | b'Calculate prob of picking 3 f when three letters picked without replacement from faaffaafafaaa.\n' | b'5/143\n' | deepmind/math_dataset |
b'Let d(m) be the third derivative of 0*m - 3/2*m**4 + 0 - 43/6*m**3 - 15*m**2. What is the first derivative of d(b) wrt b?\n' | b'-36\n' | b'Let d(m) be the third derivative of 0*m - 3/2*m**4 + 0 - 43/6*m**3 - 15*m**2. What is the first derivative of d(b) wrt b?\n' | b'-36\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {c: 3, w: 3, s: 1}. Give prob of picking 1 s, 2 w, and 1 c.\n' | b'9/35\n' | b'Four letters picked without replacement from {c: 3, w: 3, s: 1}. Give prob of picking 1 s, 2 w, and 1 c.\n' | b'9/35\n' | deepmind/math_dataset |
b'Four letters picked without replacement from bbnbkabbnnknb. What is prob of picking 3 n and 1 k?\n' | b'8/715\n' | b'Four letters picked without replacement from bbnbkabbnnknb. What is prob of picking 3 n and 1 k?\n' | b'8/715\n' | deepmind/math_dataset |
b'Let z(p) = 550*p - 389. Let b(u) = 825*u - 584. Let g(c) = -5*b(c) + 8*z(c). What is the derivative of g(f) wrt f?\n' | b'275\n' | b'Let z(p) = 550*p - 389. Let b(u) = 825*u - 584. Let g(c) = -5*b(c) + 8*z(c). What is the derivative of g(f) wrt f?\n' | b'275\n' | deepmind/math_dataset |
b'Let j(a) = -a**3 - 7*a**2 + a + 11. Let q be j(-7). Solve -q*m = m - 5, 3*b = m - 10 for b.\n' | b'-3\n' | b'Let j(a) = -a**3 - 7*a**2 + a + 11. Let q be j(-7). Solve -q*m = m - 5, 3*b = m - 10 for b.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((o*o/o**(4/21)*o)/(o/o**(-3/19)))/(o**(-4/15)/o**5) assuming o is positive.\n' | b'o**(13802/1995)\n' | b'Simplify ((o*o/o**(4/21)*o)/(o/o**(-3/19)))/(o**(-4/15)/o**5) assuming o is positive.\n' | b'o**(13802/1995)\n' | deepmind/math_dataset |
b'Suppose -12*f + 243 = 87*f - 54. Solve 11 - 8 = -f*c - 2*h, 2*c + 5*h - 9 = 0 for c.\n' | b'-3\n' | b'Suppose -12*f + 243 = 87*f - 54. Solve 11 - 8 = -f*c - 2*h, 2*c + 5*h - 9 = 0 for c.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 i and 2 g when three letters picked without replacement from ggiigi.\n' | b'9/20\n' | b'Calculate prob of picking 1 i and 2 g when three letters picked without replacement from ggiigi.\n' | b'9/20\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qqq. Give prob of picking 2 q.\n' | b'1\n' | b'Two letters picked without replacement from qqq. Give prob of picking 2 q.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -u + 2*c + 8 = 0, -5*c + c - 18 = -3*u. Solve -2*i = 8, 0*x = -u*x + 3*i + 10 for x.\n' | b'-1\n' | b'Suppose -u + 2*c + 8 = 0, -5*c + c - 18 = -3*u. Solve -2*i = 8, 0*x = -u*x + 3*i + 10 for x.\n' | b'-1\n' | deepmind/math_dataset |
b'Let c(v) = 12*v + 155. Let j(w) = w**2 - 17*w + 17. Let k be j(15). What is c(k)?\n' | b'-1\n' | b'Let c(v) = 12*v + 155. Let j(w) = w**2 - 17*w + 17. Let k be j(15). What is c(k)?\n' | b'-1\n' | deepmind/math_dataset |
b'Find the first derivative of -2369 + 8486*b**2 - 10518981*b + 10518981*b wrt b.\n' | b'16972*b\n' | b'Find the first derivative of -2369 + 8486*b**2 - 10518981*b + 10518981*b wrt b.\n' | b'16972*b\n' | deepmind/math_dataset |
b'What is prob of picking 1 t and 1 w when two letters picked without replacement from {t: 1, w: 1, y: 1, b: 1, e: 2, p: 1}?\n' | b'1/21\n' | b'What is prob of picking 1 t and 1 w when two letters picked without replacement from {t: 1, w: 1, y: 1, b: 1, e: 2, p: 1}?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let w(f) = -f - 6. Let q be w(-12). Let l(n) be the second derivative of 1/2*n**2 + 0 + 1/10*n**q + 0*n**5 + 0*n**3 + 0*n**4 - 3*n. Differentiate l(j) wrt j.\n' | b'12*j**3\n' | b'Let w(f) = -f - 6. Let q be w(-12). Let l(n) be the second derivative of 1/2*n**2 + 0 + 1/10*n**q + 0*n**5 + 0*n**3 + 0*n**4 - 3*n. Differentiate l(j) wrt j.\n' | b'12*j**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence dz when two letters picked without replacement from {l: 3, c: 1, r: 1, d: 6, w: 3, z: 1}.\n' | b'1/35\n' | b'Calculate prob of sequence dz when two letters picked without replacement from {l: 3, c: 1, r: 1, d: 6, w: 3, z: 1}.\n' | b'1/35\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 1, s: 1, z: 1, m: 1, d: 1}. What is prob of sequence zts?\n' | b'1/60\n' | b'Three letters picked without replacement from {t: 1, s: 1, z: 1, m: 1, d: 1}. What is prob of sequence zts?\n' | b'1/60\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.