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 yel when three letters picked without replacement from yeeoeeooeoeyelee?\n' | b'3/560\n' | b'What is prob of sequence yel when three letters picked without replacement from yeeoeeooeoeyelee?\n' | b'3/560\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 w when two letters picked without replacement from wyaggwgwagmaayyaaaa.\n' | b'1/57\n' | b'Calculate prob of picking 2 w when two letters picked without replacement from wyaggwgwagmaayyaaaa.\n' | b'1/57\n' | deepmind/math_dataset |
b'Let j(p) = -2*p**2 + 27*p + 25. Let v(u) = -3*u**2 + 42*u + 40. Let b(o) = 8*j(o) - 5*v(o). Suppose 2*c - 14 = -0*c. Calculate b(c).\n' | b'-7\n' | b'Let j(p) = -2*p**2 + 27*p + 25. Let v(u) = -3*u**2 + 42*u + 40. Let b(o) = 8*j(o) - 5*v(o). Suppose 2*c - 14 = -0*c. Calculate b(c).\n' | b'-7\n' | deepmind/math_dataset |
b'Let z be (-1 + (-11)/(-3))/(34/51). Suppose 0 = z*d - 4 - 12. Solve 2*o = d*u + 4, 8 = -0*o + o - 4*u for o.\n' | b'-4\n' | b'Let z be (-1 + (-11)/(-3))/(34/51). Suppose 0 = z*d - 4 - 12. Solve 2*o = d*u + 4, 8 = -0*o + o - 4*u for o.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (((h*h*h/(h/(h*h**(-1/2)))*h)/h)**(1/13)/((h*(((h**(3/8)/h)/h)/h)/h)/h**(-12)))**(-12/7) assuming h is positive.\n' | b'h**(2865/182)\n' | b'Simplify (((h*h*h/(h/(h*h**(-1/2)))*h)/h)**(1/13)/((h*(((h**(3/8)/h)/h)/h)/h)/h**(-12)))**(-12/7) assuming h is positive.\n' | b'h**(2865/182)\n' | deepmind/math_dataset |
b'Suppose -15*y = -5*y - 70. Let g(l) be the third derivative of -l**6/120 + l**5/10 + l**4/4 + 4*l**3/3 + l**2. What is g(y)?\n' | b'1\n' | b'Suppose -15*y = -5*y - 70. Let g(l) be the third derivative of -l**6/120 + l**5/10 + l**4/4 + 4*l**3/3 + l**2. What is g(y)?\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence ij when two letters picked without replacement from xiiijix?\n' | b'2/21\n' | b'What is prob of sequence ij when two letters picked without replacement from xiiijix?\n' | b'2/21\n' | deepmind/math_dataset |
b'Simplify ((v/v**(-4/11))/v)/v*v*v*v**(-13) assuming v is positive.\n' | b'v**(-128/11)\n' | b'Simplify ((v/v**(-4/11))/v)/v*v*v*v**(-13) assuming v is positive.\n' | b'v**(-128/11)\n' | deepmind/math_dataset |
b'Simplify (((a*a*a**(1/2)*a**(-2/25))/(((a*a*(a**(3/8)/a)/a*a*a)/a)/a)**(-8/7))**(3/16))**(-50) assuming a is positive.\n' | b'a**(-2991/112)\n' | b'Simplify (((a*a*a**(1/2)*a**(-2/25))/(((a*a*(a**(3/8)/a)/a*a*a)/a)/a)**(-8/7))**(3/16))**(-50) assuming a is positive.\n' | b'a**(-2991/112)\n' | deepmind/math_dataset |
b'Let k(d) be the first derivative of d**3/6 + 3*d**2/2 - 31*d - 39. Let o(w) be the first derivative of k(w). What is o(9)?\n' | b'12\n' | b'Let k(d) be the first derivative of d**3/6 + 3*d**2/2 - 31*d - 39. Let o(w) be the first derivative of k(w). What is o(9)?\n' | b'12\n' | deepmind/math_dataset |
b'Suppose 4*o = 6*o + 2. Let q be (16/20)/(o*(-3)/15). What is the second derivative of 33*i + 22*i**q - 88*i**3 + 88*i**3 wrt i?\n' | b'264*i**2\n' | b'Suppose 4*o = 6*o + 2. Let q be (16/20)/(o*(-3)/15). What is the second derivative of 33*i + 22*i**q - 88*i**3 + 88*i**3 wrt i?\n' | b'264*i**2\n' | deepmind/math_dataset |
b'Let a = 26 - 24. Let q be -3*(a - 24/9). Let o be 13 - (-12)/18*-6. Solve -o = 3*n - q*m, -n - n - 6 = -4*m for n.\n' | b'-3\n' | b'Let a = 26 - 24. Let q be -3*(a - 24/9). Let o be 13 - (-12)/18*-6. Solve -o = 3*n - q*m, -n - n - 6 = -4*m for n.\n' | b'-3\n' | deepmind/math_dataset |
b'Let n(h) = -4*h**2 - 4. Let z(p) = -7*p**2 - 8. Let c(a) = -5*n(a) + 3*z(a). Determine c(0).\n' | b'-4\n' | b'Let n(h) = -4*h**2 - 4. Let z(p) = -7*p**2 - 8. Let c(a) = -5*n(a) + 3*z(a). Determine c(0).\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mmmgmmmggmmmmggmgm. What is prob of sequence mg?\n' | b'4/17\n' | b'Two letters picked without replacement from mmmgmmmggmmmmggmgm. What is prob of sequence mg?\n' | b'4/17\n' | deepmind/math_dataset |
b'Simplify (g**(3/8)*g/g**(-2/9)*g)/((((g*(g/(((g**(-2/9)*g)/g)/g))/g*g)/g)/g)/g*g*g**(-2/5)) assuming g is positive.\n' | b'g**(71/40)\n' | b'Simplify (g**(3/8)*g/g**(-2/9)*g)/((((g*(g/(((g**(-2/9)*g)/g)/g))/g*g)/g)/g)/g*g*g**(-2/5)) assuming g is positive.\n' | b'g**(71/40)\n' | deepmind/math_dataset |
b'Let j(z) be the second derivative of -33*z**3/2 - 37*z**2/2 - 120*z. Find the first derivative of j(n) wrt n.\n' | b'-99\n' | b'Let j(z) be the second derivative of -33*z**3/2 - 37*z**2/2 - 120*z. Find the first derivative of j(n) wrt n.\n' | b'-99\n' | deepmind/math_dataset |
b'Let b(a) = -9*a - 20. Let d = -2761 + 2759. Determine b(d).\n' | b'-2\n' | b'Let b(a) = -9*a - 20. Let d = -2761 + 2759. Determine b(d).\n' | b'-2\n' | deepmind/math_dataset |
b'Let p(u) = -3*u + 16. Let o(r) = 4*r - 17. Let k(a) = -2*o(a) - 3*p(a). What is k(8)?\n' | b'-6\n' | b'Let p(u) = -3*u + 16. Let o(r) = 4*r - 17. Let k(a) = -2*o(a) - 3*p(a). What is k(8)?\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose 0 = -u - 2 + 10. Find the first derivative of 32 + u + 109*o**3 - 120*o**3 wrt o.\n' | b'-33*o**2\n' | b'Suppose 0 = -u - 2 + 10. Find the first derivative of 32 + u + 109*o**3 - 120*o**3 wrt o.\n' | b'-33*o**2\n' | deepmind/math_dataset |
b'Let k(y) = y**3 - 5*y**2 - 3*y - 6. Let o = 6 + -10. Let l be 2 - o*(-3)/(-3). Let c be k(l). Solve -s + 3*w - 6 - c = 0, 4 = 2*s + 2*w for s.\n' | b'-3\n' | b'Let k(y) = y**3 - 5*y**2 - 3*y - 6. Let o = 6 + -10. Let l be 2 - o*(-3)/(-3). Let c be k(l). Solve -s + 3*w - 6 - c = 0, 4 = 2*s + 2*w for s.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence aaax when four letters picked without replacement from axaaaaaxaaaaaax.\n' | b'11/91\n' | b'Calculate prob of sequence aaax when four letters picked without replacement from axaaaaaxaaaaaax.\n' | b'11/91\n' | deepmind/math_dataset |
b'Calculate prob of sequence tn when two letters picked without replacement from dmmnmmtnm.\n' | b'1/36\n' | b'Calculate prob of sequence tn when two letters picked without replacement from dmmnmmtnm.\n' | b'1/36\n' | deepmind/math_dataset |
b'Simplify (((t*t*(t/(t/t**(-2/3)))/t*t*t)**(-36))**46)**(-44) assuming t is positive.\n' | b't**170016\n' | b'Simplify (((t*t*(t/(t/t**(-2/3)))/t*t*t)**(-36))**46)**(-44) assuming t is positive.\n' | b't**170016\n' | deepmind/math_dataset |
b'Suppose 0 = -2*v - j + 24, 4*v - 210*j + 206*j - 60 = 0. Solve 0 = -6*h + 10*h + 5*p + v, 3*h + 3*p + 6 = 0 for h.\n' | b'3\n' | b'Suppose 0 = -2*v - j + 24, 4*v - 210*j + 206*j - 60 = 0. Solve 0 = -6*h + 10*h + 5*p + v, 3*h + 3*p + 6 = 0 for h.\n' | b'3\n' | deepmind/math_dataset |
b'Let x = 11 + 4. Suppose 6*n = 3*n + x. Let c be (414/552)/((-1)/(-4)). Solve -c*a = -n*a - g - 5, -4*g - 10 = -2*a for a.\n' | b'-1\n' | b'Let x = 11 + 4. Suppose 6*n = 3*n + x. Let c be (414/552)/((-1)/(-4)). Solve -c*a = -n*a - g - 5, -4*g - 10 = -2*a for a.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qqqididdqqddq. Give prob of sequence qi.\n' | b'1/13\n' | b'Two letters picked without replacement from qqqididdqqddq. Give prob of sequence qi.\n' | b'1/13\n' | deepmind/math_dataset |
b'Let w(k) = -k - 6. Let s = -7 + 3. Let x be (-6)/(15/(-6) - s). Determine w(x).\n' | b'-2\n' | b'Let w(k) = -k - 6. Let s = -7 + 3. Let x be (-6)/(15/(-6) - s). Determine w(x).\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose w + 4*w - 15 = 0. Let p(f) = -42*f**3 + 3*f**2 - 222*f - 30. Let b(l) = 11*l**3 - l**2 + 58*l + 8. Let a(d) = -23*b(d) - 6*p(d). Give a(w).\n' | b'8\n' | b'Suppose w + 4*w - 15 = 0. Let p(f) = -42*f**3 + 3*f**2 - 222*f - 30. Let b(l) = 11*l**3 - l**2 + 58*l + 8. Let a(d) = -23*b(d) - 6*p(d). Give a(w).\n' | b'8\n' | deepmind/math_dataset |
b'Simplify (f*f**(-3/5))/(f*f*f*f**(2/3)*f*f)*(f**0/f)**(-8/5) assuming f is positive.\n' | b'f**(-11/3)\n' | b'Simplify (f*f**(-3/5))/(f*f*f*f**(2/3)*f*f)*(f**0/f)**(-8/5) assuming f is positive.\n' | b'f**(-11/3)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ddddd. Give prob of picking 2 d.\n' | b'1\n' | b'Two letters picked without replacement from ddddd. Give prob of picking 2 d.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {l: 1, m: 7}. What is prob of picking 1 l and 2 m?\n' | b'3/8\n' | b'Three letters picked without replacement from {l: 1, m: 7}. What is prob of picking 1 l and 2 m?\n' | b'3/8\n' | deepmind/math_dataset |
b'Let a(o) = 2*o**3 - o**2 + 2*o - 1. Let x be a(1). Find the third derivative of -m**4 + m + m + m**2 - x*m wrt m.\n' | b'-24*m\n' | b'Let a(o) = 2*o**3 - o**2 + 2*o - 1. Let x be a(1). Find the third derivative of -m**4 + m + m + m**2 - x*m wrt m.\n' | b'-24*m\n' | deepmind/math_dataset |
b'Let d = -8 + 14. Let s(i) = -d - i**2 + 1 - 8*i - 2. Calculate s(-5).\n' | b'8\n' | b'Let d = -8 + 14. Let s(i) = -d - i**2 + 1 - 8*i - 2. Calculate s(-5).\n' | b'8\n' | deepmind/math_dataset |
b'Suppose 164*l - 9 = 15 - 188. Let p(a) = 7*a - 3. Determine p(l).\n' | b'-10\n' | b'Suppose 164*l - 9 = 15 - 188. Let p(a) = 7*a - 3. Determine p(l).\n' | b'-10\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ifi. Give prob of sequence ifi.\n' | b'1/3\n' | b'Three letters picked without replacement from ifi. Give prob of sequence ifi.\n' | b'1/3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 3, r: 5, k: 1, d: 1, f: 1}. What is prob of sequence kru?\n' | b'1/66\n' | b'Three letters picked without replacement from {u: 3, r: 5, k: 1, d: 1, f: 1}. What is prob of sequence kru?\n' | b'1/66\n' | deepmind/math_dataset |
b'Let w(d) be the third derivative of d**9/504 - 79*d**8/112 - d**5/30 - 196*d**3/3 - 29*d**2 + 4*d. Find the third derivative of w(h) wrt h.\n' | b'120*h**3 - 14220*h**2\n' | b'Let w(d) be the third derivative of d**9/504 - 79*d**8/112 - d**5/30 - 196*d**3/3 - 29*d**2 + 4*d. Find the third derivative of w(h) wrt h.\n' | b'120*h**3 - 14220*h**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence jgcj when four letters picked without replacement from {c: 7, g: 7, j: 2, t: 3}.\n' | b'49/46512\n' | b'Calculate prob of sequence jgcj when four letters picked without replacement from {c: 7, g: 7, j: 2, t: 3}.\n' | b'49/46512\n' | deepmind/math_dataset |
b'What is prob of picking 1 t, 1 h, and 1 f when three letters picked without replacement from {x: 1, t: 1, y: 1, f: 2, m: 1, h: 1}?\n' | b'2/35\n' | b'What is prob of picking 1 t, 1 h, and 1 f when three letters picked without replacement from {x: 1, t: 1, y: 1, f: 2, m: 1, h: 1}?\n' | b'2/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 8, m: 1, v: 4, a: 1, c: 2, y: 4}. Give prob of sequence ya.\n' | b'1/95\n' | b'Two letters picked without replacement from {b: 8, m: 1, v: 4, a: 1, c: 2, y: 4}. Give prob of sequence ya.\n' | b'1/95\n' | deepmind/math_dataset |
b'Suppose -2*j = 3*j. Let k be (-4 - -7) + 1 + j. Differentiate -2 + 1 - 3*c**k + 5*c**4 with respect to c.\n' | b'8*c**3\n' | b'Suppose -2*j = 3*j. Let k be (-4 - -7) + 1 + j. Differentiate -2 + 1 - 3*c**k + 5*c**4 with respect to c.\n' | b'8*c**3\n' | deepmind/math_dataset |
b'Simplify ((n**(-2)/n**8)/(n*n**(-2)*n)**38)/(((n**(-1/4)/n)/n)**(-2/7))**(1/6) assuming n is positive.\n' | b'n**(-283/28)\n' | b'Simplify ((n**(-2)/n**8)/(n*n**(-2)*n)**38)/(((n**(-1/4)/n)/n)**(-2/7))**(1/6) assuming n is positive.\n' | b'n**(-283/28)\n' | deepmind/math_dataset |
b'Let i(m) be the third derivative of m**7/14 - m**6/120 + 79*m**4/24 + 31*m**2 + 1. Find the second derivative of i(u) wrt u.\n' | b'180*u**2 - 6*u\n' | b'Let i(m) be the third derivative of m**7/14 - m**6/120 + 79*m**4/24 + 31*m**2 + 1. Find the second derivative of i(u) wrt u.\n' | b'180*u**2 - 6*u\n' | deepmind/math_dataset |
b'Suppose 4*g + 23 = n, -2*n + 20 = 2*g + 3*g. Solve 2*p - n = -j + 6*j, -j - 26 = -5*p for j.\n' | b'-1\n' | b'Suppose 4*g + 23 = n, -2*n + 20 = 2*g + 3*g. Solve 2*p - n = -j + 6*j, -j - 26 = -5*p for j.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (m**(-1/2)*m)/(m*m**(-2/3)/m)*(m/(((m/m**0)/m)/m))**(-5/2) assuming m is positive.\n' | b'm**(-23/6)\n' | b'Simplify (m**(-1/2)*m)/(m*m**(-2/3)/m)*(m/(((m/m**0)/m)/m))**(-5/2) assuming m is positive.\n' | b'm**(-23/6)\n' | deepmind/math_dataset |
b'Let h(y) be the third derivative of 5*y**4/24 - y**3/2 + 1427*y**2. Let o(d) = 5*d - 5. Let b(i) = i + 6. Let u be b(0). Let n(a) = u*h(a) - 5*o(a). Give n(-5).\n' | b'-18\n' | b'Let h(y) be the third derivative of 5*y**4/24 - y**3/2 + 1427*y**2. Let o(d) = 5*d - 5. Let b(i) = i + 6. Let u be b(0). Let n(a) = u*h(a) - 5*o(a). Give n(-5).\n' | b'-18\n' | deepmind/math_dataset |
b'Simplify (n**(-33)*(n**(5/4)/n)/n)/((n**(4/13)*n)/(n*n/((n/(n*n**(-25)*n))/n)*n)) assuming n is positive.\n' | b'n**(-2863/52)\n' | b'Simplify (n**(-33)*(n**(5/4)/n)/n)/((n**(4/13)*n)/(n*n/((n/(n*n**(-25)*n))/n)*n)) assuming n is positive.\n' | b'n**(-2863/52)\n' | deepmind/math_dataset |
b'Suppose n - 1610 = -6*n. Suppose -4*c = -10 - n. Suppose 18*i - 24*i = -c. Solve -3*d = -2*f - 2, i = -2*f + 2*d - 3*d for f.\n' | b'-4\n' | b'Suppose n - 1610 = -6*n. Suppose -4*c = -10 - n. Suppose 18*i - 24*i = -c. Solve -3*d = -2*f - 2, i = -2*f + 2*d - 3*d for f.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((d**(-8))**(-2/17))**(-4/29) assuming d is positive.\n' | b'd**(-64/493)\n' | b'Simplify ((d**(-8))**(-2/17))**(-4/29) assuming d is positive.\n' | b'd**(-64/493)\n' | deepmind/math_dataset |
b'Let k(g) be the third derivative of -g**4/8 + 4*g**3/3 + 2291*g**2. Calculate k(8).\n' | b'-16\n' | b'Let k(g) be the third derivative of -g**4/8 + 4*g**3/3 + 2291*g**2. Calculate k(8).\n' | b'-16\n' | deepmind/math_dataset |
b'Let o = 294 - 287. Suppose 95*c + o = 102*c. Let i(g) = -20*g + 1. Calculate i(c).\n' | b'-19\n' | b'Let o = 294 - 287. Suppose 95*c + o = 102*c. Let i(g) = -20*g + 1. Calculate i(c).\n' | b'-19\n' | deepmind/math_dataset |
b'Let j(p) = p**2 + 28*p + 195. Let d be j(-18). Solve -6*v + v - 19 = -k, 0 = -3*v - 3*k - d for v.\n' | b'-4\n' | b'Let j(p) = p**2 + 28*p + 195. Let d be j(-18). Solve -6*v + v - 19 = -k, 0 = -3*v - 3*k - d for v.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of picking 3 p and 1 l when four letters picked without replacement from wrprpggrggppl?\n' | b'4/715\n' | b'What is prob of picking 3 p and 1 l when four letters picked without replacement from wrprpggrggppl?\n' | b'4/715\n' | deepmind/math_dataset |
b'Let l(q) = q + 6. Let c be 4*6/8 + -9. Determine l(c).\n' | b'0\n' | b'Let l(q) = q + 6. Let c be 4*6/8 + -9. Determine l(c).\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from giz. What is prob of sequence gzi?\n' | b'1/6\n' | b'Three letters picked without replacement from giz. What is prob of sequence gzi?\n' | b'1/6\n' | deepmind/math_dataset |
b'Let h(b) = -4*b - 33. Let g(o) be the second derivative of o**3/2 + 29*o**2/2 + o + 83. Let v(y) = -3*g(y) - 2*h(y). What is v(-11)?\n' | b'-10\n' | b'Let h(b) = -4*b - 33. Let g(o) be the second derivative of o**3/2 + 29*o**2/2 + o + 83. Let v(y) = -3*g(y) - 2*h(y). What is v(-11)?\n' | b'-10\n' | deepmind/math_dataset |
b'Let p be (-2)/12 - (-13)/6. Suppose k - 4 = 3*k + p*l, 0 = 5*l + 20. Solve -h + 4*h = k*z + 14, -4*z + 2*h = 12 for z.\n' | b'-1\n' | b'Let p be (-2)/12 - (-13)/6. Suppose k - 4 = 3*k + p*l, 0 = 5*l + 20. Solve -h + 4*h = k*z + 14, -4*z + 2*h = 12 for z.\n' | b'-1\n' | deepmind/math_dataset |
b'Let x(s) be the first derivative of 0 + 10*s**5 + 7*s**5 + 11 - 7 - 3*s + 144*s. Differentiate x(i) wrt i.\n' | b'340*i**3\n' | b'Let x(s) be the first derivative of 0 + 10*s**5 + 7*s**5 + 11 - 7 - 3*s + 144*s. Differentiate x(i) wrt i.\n' | b'340*i**3\n' | deepmind/math_dataset |
b'Simplify (r**2)**(31/3)/(r**(-1/2))**(-38)*(r**(-3/4)/(r/r**(-9)))**31 assuming r is positive.\n' | b'r**(-3979/12)\n' | b'Simplify (r**2)**(31/3)/(r**(-1/2))**(-38)*(r**(-3/4)/(r/r**(-9)))**31 assuming r is positive.\n' | b'r**(-3979/12)\n' | deepmind/math_dataset |
b'Let z be (3 - 2 - 5)/(-2). Suppose 0 = 3*r + z*r. Let j(x) = -x**3 - x**2 + x - 20. What is j(r)?\n' | b'-20\n' | b'Let z be (3 - 2 - 5)/(-2). Suppose 0 = 3*r + z*r. Let j(x) = -x**3 - x**2 + x - 20. What is j(r)?\n' | b'-20\n' | deepmind/math_dataset |
b'Suppose -10*a + 15 = -5*a. Suppose -9 = -5*k + 11. Suppose 2*t - 3*t + k = 0. Solve 3*b = b + a*c + 6, -c = -t*b + 12 for b.\n' | b'3\n' | b'Suppose -10*a + 15 = -5*a. Suppose -9 = -5*k + 11. Suppose 2*t - 3*t + k = 0. Solve 3*b = b + a*c + 6, -c = -t*b + 12 for b.\n' | b'3\n' | deepmind/math_dataset |
b'Let y(k) be the second derivative of -19*k**8/56 + k**4 + 21*k. Find the third derivative of y(h) wrt h.\n' | b'-2280*h**3\n' | b'Let y(k) be the second derivative of -19*k**8/56 + k**4 + 21*k. Find the third derivative of y(h) wrt h.\n' | b'-2280*h**3\n' | deepmind/math_dataset |
b'Simplify f**(-6)/(f*f**(1/10))*(f**(-2/3))**(1/38)*((f/(f**(-1)/f))/(f*f**(-3/2)))**(-8/19) assuming f is positive.\n' | b'f**(-4897/570)\n' | b'Simplify f**(-6)/(f*f**(1/10))*(f**(-2/3))**(1/38)*((f/(f**(-1)/f))/(f*f**(-3/2)))**(-8/19) assuming f is positive.\n' | b'f**(-4897/570)\n' | deepmind/math_dataset |
b'Let a(g) be the first derivative of 45 - 13*g**3 + 1/2*g**4 + 0*g**2 - 24*g. Differentiate a(x) with respect to x.\n' | b'6*x**2 - 78*x\n' | b'Let a(g) be the first derivative of 45 - 13*g**3 + 1/2*g**4 + 0*g**2 - 24*g. Differentiate a(x) with respect to x.\n' | b'6*x**2 - 78*x\n' | deepmind/math_dataset |
b'Let f(c) be the third derivative of 0*c**3 - 1/210*c**7 + 0*c**6 + 0 + 0*c**4 + c**2 - 1/30*c**5 + 0*c. Find the third derivative of f(p) wrt p.\n' | b'-24*p\n' | b'Let f(c) be the third derivative of 0*c**3 - 1/210*c**7 + 0*c**6 + 0 + 0*c**4 + c**2 - 1/30*c**5 + 0*c. Find the third derivative of f(p) wrt p.\n' | b'-24*p\n' | deepmind/math_dataset |
b'Let z(o) = 37*o - 179. Let n be z(5). Solve 4*c - 2*p = n*c - 6, 5*c - 35 = 5*p for c.\n' | b'5\n' | b'Let z(o) = 37*o - 179. Let n be z(5). Solve 4*c - 2*p = n*c - 6, 5*c - 35 = 5*p for c.\n' | b'5\n' | deepmind/math_dataset |
b'Let f(g) be the first derivative of 6*g + 2 + 0*g**3 + 0*g**4 + 14/5*g**5 + 0*g**2. Differentiate f(m) wrt m.\n' | b'56*m**3\n' | b'Let f(g) be the first derivative of 6*g + 2 + 0*g**3 + 0*g**4 + 14/5*g**5 + 0*g**2. Differentiate f(m) wrt m.\n' | b'56*m**3\n' | deepmind/math_dataset |
b'Suppose g = -3*b + 5, 3*g - 2*b + 0*b - 15 = 0. Suppose g*m = 17 - 7. Let a be (0 - -15)/((-3)/m). Let x(h) = 2*h + 12. Calculate x(a).\n' | b'-8\n' | b'Suppose g = -3*b + 5, 3*g - 2*b + 0*b - 15 = 0. Suppose g*m = 17 - 7. Let a be (0 - -15)/((-3)/m). Let x(h) = 2*h + 12. Calculate x(a).\n' | b'-8\n' | deepmind/math_dataset |
b'Four letters picked without replacement from zzzzxzzxxzxzx. Give prob of picking 4 x.\n' | b'1/143\n' | b'Four letters picked without replacement from zzzzxzzxxzxzx. Give prob of picking 4 x.\n' | b'1/143\n' | deepmind/math_dataset |
b'Simplify (r**(-4)*(r/(r/(r*r**(-2))))/r*((r/(r/(r*r**(3/4)*r)*r))/r)/(r/(r/r**(-3))))/(r**(-1)*r**(-1/3)*(r**(-1)*r)**41) assuming r is positive.\n' | b'r**(-11/12)\n' | b'Simplify (r**(-4)*(r/(r/(r*r**(-2))))/r*((r/(r/(r*r**(3/4)*r)*r))/r)/(r/(r/r**(-3))))/(r**(-1)*r**(-1/3)*(r**(-1)*r)**41) assuming r is positive.\n' | b'r**(-11/12)\n' | deepmind/math_dataset |
b'Simplify (h*h**(-5/2)*(h**(-3)/h)/h*h*h)/(h**0)**(3/29) assuming h is positive.\n' | b'h**(-9/2)\n' | b'Simplify (h*h**(-5/2)*(h**(-3)/h)/h*h*h)/(h**0)**(3/29) assuming h is positive.\n' | b'h**(-9/2)\n' | deepmind/math_dataset |
b'Simplify (h**(-1/4))**(-8/11)/(h*h**(-1))**(7/6) assuming h is positive.\n' | b'h**(2/11)\n' | b'Simplify (h**(-1/4))**(-8/11)/(h*h**(-1))**(7/6) assuming h is positive.\n' | b'h**(2/11)\n' | deepmind/math_dataset |
b'Let c(z) = 1292*z + 1467. Let p(y) = -8*y + 2. Let t(v) = -c(v) - 6*p(v). Differentiate t(j) wrt j.\n' | b'-1244\n' | b'Let c(z) = 1292*z + 1467. Let p(y) = -8*y + 2. Let t(v) = -c(v) - 6*p(v). Differentiate t(j) wrt j.\n' | b'-1244\n' | deepmind/math_dataset |
b'Let b(z) = -14*z. Let g(p) = p**2 - 3*p - 5. Let w be g(4). Let v be b(w). Let f = -10 + v. Solve 0 = -3*u - f*l - 9, -5*u - 8*l - 15 = -3*l for u.\n' | b'-3\n' | b'Let b(z) = -14*z. Let g(p) = p**2 - 3*p - 5. Let w be g(4). Let v be b(w). Let f = -10 + v. Solve 0 = -3*u - f*l - 9, -5*u - 8*l - 15 = -3*l for u.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence kn when two letters picked without replacement from {k: 4, j: 5, n: 2}.\n' | b'4/55\n' | b'Calculate prob of sequence kn when two letters picked without replacement from {k: 4, j: 5, n: 2}.\n' | b'4/55\n' | deepmind/math_dataset |
b'Simplify ((y/y**(2/9))**(-37)/(y**(-1/2))**(13/2))**(-18) assuming y is positive.\n' | b'y**(919/2)\n' | b'Simplify ((y/y**(2/9))**(-37)/(y**(-1/2))**(13/2))**(-18) assuming y is positive.\n' | b'y**(919/2)\n' | deepmind/math_dataset |
b'Let x(a) = a**3 - 26*a**2 + 22*a + 77. Let u be x(25). Suppose 0 = 4*b, 2*b = -u*c + c + 3. Solve c*k - 11 = -j, 0 = k - 6*k + 20 for j.\n' | b'-1\n' | b'Let x(a) = a**3 - 26*a**2 + 22*a + 77. Let u be x(25). Suppose 0 = 4*b, 2*b = -u*c + c + 3. Solve c*k - 11 = -j, 0 = k - 6*k + 20 for j.\n' | b'-1\n' | deepmind/math_dataset |
b'Let m be 44/10 - (-36)/60. Let c(f) = 3*f**3 + 38*f + m*f**3 - 39*f. Calculate c(1).\n' | b'7\n' | b'Let m be 44/10 - (-36)/60. Let c(f) = 3*f**3 + 38*f + m*f**3 - 39*f. Calculate c(1).\n' | b'7\n' | deepmind/math_dataset |
b'Let c = -8844 + 8849. Solve 16 = c*m - 4*g, -105*m = -100*m + 5*g - 25 for m.\n' | b'4\n' | b'Let c = -8844 + 8849. Solve 16 = c*m - 4*g, -105*m = -100*m + 5*g - 25 for m.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of picking 1 w and 1 e when two letters picked without replacement from {i: 1, h: 4, w: 3, e: 3, s: 2, m: 6}?\n' | b'1/19\n' | b'What is prob of picking 1 w and 1 e when two letters picked without replacement from {i: 1, h: 4, w: 3, e: 3, s: 2, m: 6}?\n' | b'1/19\n' | deepmind/math_dataset |
b'Differentiate -2*t**2 - 2*t**2 + 0*t**2 - 1 - 3 with respect to t.\n' | b'-8*t\n' | b'Differentiate -2*t**2 - 2*t**2 + 0*t**2 - 1 - 3 with respect to t.\n' | b'-8*t\n' | deepmind/math_dataset |
b'Simplify (i**(1/9)/i)/(i/(i*i**(-2/33)))*(i/(((i*i**(-2/5))/i)/i))**(-47) assuming i is positive.\n' | b'i**(-56306/495)\n' | b'Simplify (i**(1/9)/i)/(i/(i*i**(-2/33)))*(i/(((i*i**(-2/5))/i)/i))**(-47) assuming i is positive.\n' | b'i**(-56306/495)\n' | deepmind/math_dataset |
b'Simplify ((((r**4*r)/r)/r)/r**0)**(-6/5)*(((r**(-2/9)/r)/r)/r*r*r**(1/5)/r)/(r**(-4/5)*r**1) assuming r is positive.\n' | b'r**(-307/45)\n' | b'Simplify ((((r**4*r)/r)/r)/r**0)**(-6/5)*(((r**(-2/9)/r)/r)/r*r*r**(1/5)/r)/(r**(-4/5)*r**1) assuming r is positive.\n' | b'r**(-307/45)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 7, m: 4, s: 3, u: 3, q: 3}. What is prob of sequence uq?\n' | b'9/380\n' | b'Two letters picked without replacement from {a: 7, m: 4, s: 3, u: 3, q: 3}. What is prob of sequence uq?\n' | b'9/380\n' | deepmind/math_dataset |
b'Simplify (d**9*d)/d**12 assuming d is positive.\n' | b'd**(-2)\n' | b'Simplify (d**9*d)/d**12 assuming d is positive.\n' | b'd**(-2)\n' | deepmind/math_dataset |
b'Let u(q) = -q**3 - q**2 + 2*q - 1. Let i be u(-2). Let x be (2/(-5))/(11/(-10) - i). What is the derivative of -17*a**3 - 4*a - 1 + x*a + 0*a wrt a?\n' | b'-51*a**2\n' | b'Let u(q) = -q**3 - q**2 + 2*q - 1. Let i be u(-2). Let x be (2/(-5))/(11/(-10) - i). What is the derivative of -17*a**3 - 4*a - 1 + x*a + 0*a wrt a?\n' | b'-51*a**2\n' | deepmind/math_dataset |
b'Suppose -3*u - 35 = 2*u. Let l = -1 - u. Find the second derivative of -n**3 + l*n**3 - n**3 - n**3 + 6*n wrt n.\n' | b'18*n\n' | b'Suppose -3*u - 35 = 2*u. Let l = -1 - u. Find the second derivative of -n**3 + l*n**3 - n**3 - n**3 + 6*n wrt n.\n' | b'18*n\n' | deepmind/math_dataset |
b'Let l(g) = -g**3 - 8*g**2 + 6. Let x be l(-8). Suppose -x*c + 40 = -c. Let k = c + -12. Let q(o) = -o**2 - 5*o + 2. Give q(k).\n' | b'6\n' | b'Let l(g) = -g**3 - 8*g**2 + 6. Let x be l(-8). Suppose -x*c + 40 = -c. Let k = c + -12. Let q(o) = -o**2 - 5*o + 2. Give q(k).\n' | b'6\n' | deepmind/math_dataset |
b'Let l(q) be the third derivative of -q**7/5 + 19*q**3/6 - 24*q**2. What is the first derivative of l(k) wrt k?\n' | b'-168*k**3\n' | b'Let l(q) be the third derivative of -q**7/5 + 19*q**3/6 - 24*q**2. What is the first derivative of l(k) wrt k?\n' | b'-168*k**3\n' | deepmind/math_dataset |
b'Suppose 3 = -q + 5. Let o be ((-4)/(-6))/(4/6). Differentiate q - o + k**4 + k**4 with respect to k.\n' | b'8*k**3\n' | b'Suppose 3 = -q + 5. Let o be ((-4)/(-6))/(4/6). Differentiate q - o + k**4 + k**4 with respect to k.\n' | b'8*k**3\n' | deepmind/math_dataset |
b'Let y(s) = -s**3 - 8*s**2 - 6*s + 4. Let v = -206 - -199. Give y(v).\n' | b'-3\n' | b'Let y(s) = -s**3 - 8*s**2 - 6*s + 4. Let v = -206 - -199. Give y(v).\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -28*b - 21*b = -14*b - 70. Solve -7*t = -9*t + 4, 0 = 5*n + b*t - 14 for n.\n' | b'2\n' | b'Suppose -28*b - 21*b = -14*b - 70. Solve -7*t = -9*t + 4, 0 = 5*n + b*t - 14 for n.\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from zzsrzszs. What is prob of sequence szsr?\n' | b'1/70\n' | b'Four letters picked without replacement from zzsrzszs. What is prob of sequence szsr?\n' | b'1/70\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ymmmcgcgnhmcgmmc. Give prob of picking 1 g, 1 n, and 1 y.\n' | b'3/560\n' | b'Three letters picked without replacement from ymmmcgcgnhmcgmmc. Give prob of picking 1 g, 1 n, and 1 y.\n' | b'3/560\n' | deepmind/math_dataset |
b'Simplify (t**(5/7))**(-22/5)/(t**(-5))**(-21/5) assuming t is positive.\n' | b't**(-169/7)\n' | b'Simplify (t**(5/7))**(-22/5)/(t**(-5))**(-21/5) assuming t is positive.\n' | b't**(-169/7)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xkkfxxxkkkk. What is prob of sequence kxkk?\n' | b'2/33\n' | b'Four letters picked without replacement from xkkfxxxkkkk. What is prob of sequence kxkk?\n' | b'2/33\n' | deepmind/math_dataset |
b'What is prob of sequence sfs when three letters picked without replacement from {s: 3, f: 12}?\n' | b'12/455\n' | b'What is prob of sequence sfs when three letters picked without replacement from {s: 3, f: 12}?\n' | b'12/455\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 3, c: 2, r: 5}. Give prob of sequence rrc.\n' | b'1/18\n' | b'Three letters picked without replacement from {m: 3, c: 2, r: 5}. Give prob of sequence rrc.\n' | b'1/18\n' | deepmind/math_dataset |
b'What is prob of sequence lb when two letters picked without replacement from {l: 1, i: 6, k: 2, g: 1, p: 5, b: 1}?\n' | b'1/240\n' | b'What is prob of sequence lb when two letters picked without replacement from {l: 1, i: 6, k: 2, g: 1, p: 5, b: 1}?\n' | b'1/240\n' | deepmind/math_dataset |
b'Let p(h) be the first derivative of -239*h**6/2 - h**3 + 11585*h**2/2 - 5909. Find the second derivative of p(q) wrt q.\n' | b'-14340*q**3 - 6\n' | b'Let p(h) be the first derivative of -239*h**6/2 - h**3 + 11585*h**2/2 - 5909. Find the second derivative of p(q) wrt q.\n' | b'-14340*q**3 - 6\n' | deepmind/math_dataset |
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