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'Calculate prob of picking 1 z, 1 q, and 1 i when three letters picked without replacement from whizzqyziqzh.\n' | b'4/55\n' | b'Calculate prob of picking 1 z, 1 q, and 1 i when three letters picked without replacement from whizzqyziqzh.\n' | b'4/55\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 a and 3 w when four letters picked without replacement from {z: 5, w: 3, a: 3, x: 2}.\n' | b'3/715\n' | b'Calculate prob of picking 1 a and 3 w when four letters picked without replacement from {z: 5, w: 3, a: 3, x: 2}.\n' | b'3/715\n' | deepmind/math_dataset |
b'Let p(g) be the third derivative of 2*g**7/105 + 3*g**6/8 - 25*g**4/6 - 62*g**2 - 4. Find the second derivative of p(d) wrt d.\n' | b'48*d**2 + 270*d\n' | b'Let p(g) be the third derivative of 2*g**7/105 + 3*g**6/8 - 25*g**4/6 - 62*g**2 - 4. Find the second derivative of p(d) wrt d.\n' | b'48*d**2 + 270*d\n' | deepmind/math_dataset |
b'What is prob of sequence iil when three letters picked without replacement from {l: 3, i: 9}?\n' | b'9/55\n' | b'What is prob of sequence iil when three letters picked without replacement from {l: 3, i: 9}?\n' | b'9/55\n' | deepmind/math_dataset |
b'Let z(l) be the first derivative of l**5/5 - 35*l**4/4 + 10*l**3/3 - 2*l + 54. Find the third derivative of z(t) wrt t.\n' | b'24*t - 210\n' | b'Let z(l) be the first derivative of l**5/5 - 35*l**4/4 + 10*l**3/3 - 2*l + 54. Find the third derivative of z(t) wrt t.\n' | b'24*t - 210\n' | deepmind/math_dataset |
b'Let v(f) = -29 - 35 - 4*f + 2*f + 55 + 4*f. What is v(0)?\n' | b'-9\n' | b'Let v(f) = -29 - 35 - 4*f + 2*f + 55 + 4*f. What is v(0)?\n' | b'-9\n' | deepmind/math_dataset |
b'Suppose 3*j = -5*f + 82, -66*f + 2*j = -65*f - 6. Let x(o) = -4*o**2 + 55*o - 13. Calculate x(f).\n' | b'-27\n' | b'Suppose 3*j = -5*f + 82, -66*f + 2*j = -65*f - 6. Let x(o) = -4*o**2 + 55*o - 13. Calculate x(f).\n' | b'-27\n' | deepmind/math_dataset |
b'Simplify (c*c**(4/3)*(c/((c**0/c)/c))/c)**(2/61) assuming c is positive.\n' | b'c**(26/183)\n' | b'Simplify (c*c**(4/3)*(c/((c**0/c)/c))/c)**(2/61) assuming c is positive.\n' | b'c**(26/183)\n' | deepmind/math_dataset |
b'Let y(m) = 7*m - 9. Let o(v) = 6*v - 8. Let g(r) = 4*o(r) - 3*y(r). Calculate g(6).\n' | b'13\n' | b'Let y(m) = 7*m - 9. Let o(v) = 6*v - 8. Let g(r) = 4*o(r) - 3*y(r). Calculate g(6).\n' | b'13\n' | deepmind/math_dataset |
b'Let z(i) = 4*i + 3*i - 2*i - i**2 + 2*i**2 - 3. Let t be z(-6). Solve -t*k - 18 = 5*s - 52, 25 = 2*s + 5*k for s.\n' | b'5\n' | b'Let z(i) = 4*i + 3*i - 2*i - i**2 + 2*i**2 - 3. Let t be z(-6). Solve -t*k - 18 = 5*s - 52, 25 = 2*s + 5*k for s.\n' | b'5\n' | deepmind/math_dataset |
b'Let y(w) = -w**2 - 4*w - 1. Let v be y(-3). Differentiate -2 - 2*k**2 + 0 + 3 + k**v with respect to k.\n' | b'-2*k\n' | b'Let y(w) = -w**2 - 4*w - 1. Let v be y(-3). Differentiate -2 - 2*k**2 + 0 + 3 + k**v with respect to k.\n' | b'-2*k\n' | deepmind/math_dataset |
b'Let k(f) be the first derivative of -2 - 1/2*f**2 + 3*f. Let b(q) = q**2 + 1. Let g be b(2). Give k(g).\n' | b'-2\n' | b'Let k(f) be the first derivative of -2 - 1/2*f**2 + 3*f. Let b(q) = q**2 + 1. Let g be b(2). Give k(g).\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 3 v when three letters picked without replacement from hhvvhvhhvvvh?\n' | b'1/11\n' | b'What is prob of picking 3 v when three letters picked without replacement from hhvvhvhhvvvh?\n' | b'1/11\n' | deepmind/math_dataset |
b'Let f = -7 + 22. Suppose -13*o + 93 = f. Solve 3*a + o = 3*q, 2*a + 12 = 4*q + 2 for q.\n' | b'3\n' | b'Let f = -7 + 22. Suppose -13*o + 93 = f. Solve 3*a + o = 3*q, 2*a + 12 = 4*q + 2 for q.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (b**(-5/7)*b**(-2))/(b**(-2/7))**(1/30) assuming b is positive.\n' | b'b**(-284/105)\n' | b'Simplify (b**(-5/7)*b**(-2))/(b**(-2/7))**(1/30) assuming b is positive.\n' | b'b**(-284/105)\n' | deepmind/math_dataset |
b'Let h(y) = -171*y**3 - 10*y - 42. Let s(t) = t**3 - 10. Let v(q) = h(q) - 5*s(q). What is the derivative of v(u) wrt u?\n' | b'-528*u**2 - 10\n' | b'Let h(y) = -171*y**3 - 10*y - 42. Let s(t) = t**3 - 10. Let v(q) = h(q) - 5*s(q). What is the derivative of v(u) wrt u?\n' | b'-528*u**2 - 10\n' | deepmind/math_dataset |
b'Simplify d**(-11)/d**(4/23) assuming d is positive.\n' | b'd**(-257/23)\n' | b'Simplify d**(-11)/d**(4/23) assuming d is positive.\n' | b'd**(-257/23)\n' | deepmind/math_dataset |
b'Let j(h) be the second derivative of 0 - 52*h + 0*h**2 + 1/12*h**4 + h**3. Determine j(-6).\n' | b'0\n' | b'Let j(h) be the second derivative of 0 - 52*h + 0*h**2 + 1/12*h**4 + h**3. Determine j(-6).\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from thjkmmm. What is prob of sequence jh?\n' | b'1/42\n' | b'Two letters picked without replacement from thjkmmm. What is prob of sequence jh?\n' | b'1/42\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rrkvtiivcrviiri. What is prob of sequence ki?\n' | b'1/42\n' | b'Two letters picked without replacement from rrkvtiivcrviiri. What is prob of sequence ki?\n' | b'1/42\n' | deepmind/math_dataset |
b'Calculate prob of sequence pi when two letters picked without replacement from {p: 1, l: 2, n: 1, o: 7, i: 4}.\n' | b'2/105\n' | b'Calculate prob of sequence pi when two letters picked without replacement from {p: 1, l: 2, n: 1, o: 7, i: 4}.\n' | b'2/105\n' | deepmind/math_dataset |
b'Let x(j) = -2*j**2 - j + 2. Let y(n) = -7*n**2 - 11*n + 23. Let q(a) = 4*x(a) - y(a). Determine q(5).\n' | b'-5\n' | b'Let x(j) = -2*j**2 - j + 2. Let y(n) = -7*n**2 - 11*n + 23. Let q(a) = 4*x(a) - y(a). Determine q(5).\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 0 = -0*s + 16*s - 80. Find the second derivative of -2*m**5 + 7*m**4 - 5*m - m**s - 59*m wrt m.\n' | b'-60*m**3 + 84*m**2\n' | b'Suppose 0 = -0*s + 16*s - 80. Find the second derivative of -2*m**5 + 7*m**4 - 5*m - m**s - 59*m wrt m.\n' | b'-60*m**3 + 84*m**2\n' | deepmind/math_dataset |
b'What is the second derivative of -5*d**2 - 1096*d + 391*d**2 + 86*d**2 + 79*d**2 wrt d?\n' | b'1102\n' | b'What is the second derivative of -5*d**2 - 1096*d + 391*d**2 + 86*d**2 + 79*d**2 wrt d?\n' | b'1102\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 2, g: 9, y: 7}. Give prob of picking 3 y and 1 r.\n' | b'7/306\n' | b'Four letters picked without replacement from {r: 2, g: 9, y: 7}. Give prob of picking 3 y and 1 r.\n' | b'7/306\n' | deepmind/math_dataset |
b'Let o(z) be the third derivative of z**5/60 - 25*z**4/24 - 65*z**3/2 - 37*z**2 + z + 8. What is o(-6)?\n' | b'-9\n' | b'Let o(z) be the third derivative of z**5/60 - 25*z**4/24 - 65*z**3/2 - 37*z**2 + z + 8. What is o(-6)?\n' | b'-9\n' | deepmind/math_dataset |
b'What is prob of picking 3 c when three letters picked without replacement from qcqcqqqccq?\n' | b'1/30\n' | b'What is prob of picking 3 c when three letters picked without replacement from qcqcqqqccq?\n' | b'1/30\n' | deepmind/math_dataset |
b'Let v be 0/(6/6) - -3. Find the third derivative of 256*i - 256*i + v*i**2 + 43*i**3 wrt i.\n' | b'258\n' | b'Let v be 0/(6/6) - -3. Find the third derivative of 256*i - 256*i + v*i**2 + 43*i**3 wrt i.\n' | b'258\n' | deepmind/math_dataset |
b'Simplify (p*p**9)/(p/p**(-2/9))*p**(-19)*p*p**(-6/31) assuming p is positive.\n' | b'p**(-2627/279)\n' | b'Simplify (p*p**9)/(p/p**(-2/9))*p**(-19)*p*p**(-6/31) assuming p is positive.\n' | b'p**(-2627/279)\n' | deepmind/math_dataset |
b'Let k be ((-15)/25)/((-2)/10). Find the second derivative of 10*o**4 - 2*o**4 + 9*o**4 - k*o - o wrt o.\n' | b'204*o**2\n' | b'Let k be ((-15)/25)/((-2)/10). Find the second derivative of 10*o**4 - 2*o**4 + 9*o**4 - k*o - o wrt o.\n' | b'204*o**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bcbcbbbbb. What is prob of picking 2 c?\n' | b'1/36\n' | b'Two letters picked without replacement from bcbcbbbbb. What is prob of picking 2 c?\n' | b'1/36\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 6, i: 4}. What is prob of sequence mi?\n' | b'4/15\n' | b'Two letters picked without replacement from {m: 6, i: 4}. What is prob of sequence mi?\n' | b'4/15\n' | deepmind/math_dataset |
b'Let h = 49 + -33. Let o(g) = g**3 - 15*g**2 - 16*g. Let i be o(h). Let l(a) = a**3 - a + 16. Determine l(i).\n' | b'16\n' | b'Let h = 49 + -33. Let o(g) = g**3 - 15*g**2 - 16*g. Let i be o(h). Let l(a) = a**3 - a + 16. Determine l(i).\n' | b'16\n' | deepmind/math_dataset |
b'Calculate prob of sequence ada when three letters picked without replacement from {a: 2, d: 2}.\n' | b'1/6\n' | b'Calculate prob of sequence ada when three letters picked without replacement from {a: 2, d: 2}.\n' | b'1/6\n' | deepmind/math_dataset |
b'Suppose -25 = -3*p + 8*p. Let n(j) = -17*j**3 + 6*j**2 + 5*j - 2. Let h(l) = -11*l**3 + 6*l**2 + 4*l - 3. Let m(t) = -3*h(t) + 2*n(t). Give m(p).\n' | b'-10\n' | b'Suppose -25 = -3*p + 8*p. Let n(j) = -17*j**3 + 6*j**2 + 5*j - 2. Let h(l) = -11*l**3 + 6*l**2 + 4*l - 3. Let m(t) = -3*h(t) + 2*n(t). Give m(p).\n' | b'-10\n' | deepmind/math_dataset |
b'Let i(n) be the third derivative of 16*n**7/105 + 59*n**4/12 + n**2 - 8. Find the second derivative of i(g) wrt g.\n' | b'384*g**2\n' | b'Let i(n) be the third derivative of 16*n**7/105 + 59*n**4/12 + n**2 - 8. Find the second derivative of i(g) wrt g.\n' | b'384*g**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 f and 1 m when four letters picked without replacement from mfffffffmfff.\n' | b'16/33\n' | b'Calculate prob of picking 3 f and 1 m when four letters picked without replacement from mfffffffmfff.\n' | b'16/33\n' | deepmind/math_dataset |
b'Let j(z) = z**2 + 3. Let n be j(0). Solve -5*r = -n*x - 32, 5*x - 2*r + 35 = 7 for x.\n' | b'-4\n' | b'Let j(z) = z**2 + 3. Let n be j(0). Solve -5*r = -n*x - 32, 5*x - 2*r + 35 = 7 for x.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((z**7*(z/z**3)/z)/(z**(2/5)/z**(-1)))/(z**(6/11)/(z/(z/z**(-16))))**(1/86) assuming z is positive.\n' | b'z**(5694/2365)\n' | b'Simplify ((z**7*(z/z**3)/z)/(z**(2/5)/z**(-1)))/(z**(6/11)/(z/(z/z**(-16))))**(1/86) assuming z is positive.\n' | b'z**(5694/2365)\n' | deepmind/math_dataset |
b'Calculate prob of sequence www when three letters picked without replacement from {h: 9, w: 7}.\n' | b'1/16\n' | b'Calculate prob of sequence www when three letters picked without replacement from {h: 9, w: 7}.\n' | b'1/16\n' | deepmind/math_dataset |
b'Let j be (0 + 3/(-3))/1. Let d = 3 + j. Solve 1 = v - 2*u - 0, -d*u + 11 = 3*v for v.\n' | b'3\n' | b'Let j be (0 + 3/(-3))/1. Let d = 3 + j. Solve 1 = v - 2*u - 0, -d*u + 11 = 3*v for v.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence hf when two letters picked without replacement from {q: 1, w: 1, f: 3, h: 2}?\n' | b'1/7\n' | b'What is prob of sequence hf when two letters picked without replacement from {q: 1, w: 1, f: 3, h: 2}?\n' | b'1/7\n' | deepmind/math_dataset |
b'What is the second derivative of -4751*y - 4750*y + 9500*y + 2857*y**4 - 1040 wrt y?\n' | b'34284*y**2\n' | b'What is the second derivative of -4751*y - 4750*y + 9500*y + 2857*y**4 - 1040 wrt y?\n' | b'34284*y**2\n' | deepmind/math_dataset |
b'What is prob of picking 1 t and 1 r when two letters picked without replacement from tqqtqqtdtyyqyqtdrdqq?\n' | b'1/38\n' | b'What is prob of picking 1 t and 1 r when two letters picked without replacement from tqqtqqtdtyyqyqtdrdqq?\n' | b'1/38\n' | deepmind/math_dataset |
b'Simplify (r**2/((r*r**(3/16)*r)/r))**(14/5)*(r**(1/4))**22/(r**(-1/3)/r)**(-41) assuming r is positive.\n' | b'r**(-5627/120)\n' | b'Simplify (r**2/((r*r**(3/16)*r)/r))**(14/5)*(r**(1/4))**22/(r**(-1/3)/r)**(-41) assuming r is positive.\n' | b'r**(-5627/120)\n' | deepmind/math_dataset |
b'Let i(r) = r**3 + 8*r**2 + 8*r + 7. Let l be i(-7). Suppose 4*g - 5*f + l = 12, 3*g + 2*f - 9 = 0. Solve -3*z + 5*x + 20 = 0, -1 = -z + g*x + 7 for z.\n' | b'5\n' | b'Let i(r) = r**3 + 8*r**2 + 8*r + 7. Let l be i(-7). Suppose 4*g - 5*f + l = 12, 3*g + 2*f - 9 = 0. Solve -3*z + 5*x + 20 = 0, -1 = -z + g*x + 7 for z.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of picking 2 u and 1 s when three letters picked without replacement from utssuusssusstsdusd?\n' | b'15/136\n' | b'What is prob of picking 2 u and 1 s when three letters picked without replacement from utssuusssusstsdusd?\n' | b'15/136\n' | deepmind/math_dataset |
b'Suppose 7*s - 3 = 10*s, 0 = 5*n - 2*s - 42. Solve -v - 2*x + 7*x = n, -4*x = v - 1 for v.\n' | b'-3\n' | b'Suppose 7*s - 3 = 10*s, 0 = 5*n - 2*s - 42. Solve -v - 2*x + 7*x = n, -4*x = v - 1 for v.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 4*y = -2*c + 61 - 19, 3*c + 3*y = 66. Let z = -1 + c. Let h = z - 17. Solve -v + 11 = -4*v - n, h*v = 5*n - 5 for v.\n' | b'-3\n' | b'Suppose 4*y = -2*c + 61 - 19, 3*c + 3*y = 66. Let z = -1 + c. Let h = z - 17. Solve -v + 11 = -4*v - n, h*v = 5*n - 5 for v.\n' | b'-3\n' | deepmind/math_dataset |
b'Let f(n) = -2 + 2 - 2 + n**2 - n. Let l = 2 - 3. Let v(g) = g**3 - g**2 + g. Let m(s) = l*f(s) - v(s). What is the derivative of m(c) wrt c?\n' | b'-3*c**2\n' | b'Let f(n) = -2 + 2 - 2 + n**2 - n. Let l = 2 - 3. Let v(g) = g**3 - g**2 + g. Let m(s) = l*f(s) - v(s). What is the derivative of m(c) wrt c?\n' | b'-3*c**2\n' | deepmind/math_dataset |
b'Suppose -a + k = -10, -2*a + k + 8 + 7 = 0. Suppose -5*w + a*x + 4 + 16 = 0, 4*x = 0. Solve -4*n - 2 = -q - 2*n, 12 = w*q - 4*n for q.\n' | b'4\n' | b'Suppose -a + k = -10, -2*a + k + 8 + 7 = 0. Suppose -5*w + a*x + 4 + 16 = 0, 4*x = 0. Solve -4*n - 2 = -q - 2*n, 12 = w*q - 4*n for q.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 r when two letters picked without replacement from {p: 1, v: 4, r: 2}.\n' | b'1/21\n' | b'Calculate prob of picking 2 r when two letters picked without replacement from {p: 1, v: 4, r: 2}.\n' | b'1/21\n' | deepmind/math_dataset |
b'Suppose -60*h = -58*h - 2. Suppose 31*k - 30*k - h = 0. Let t(b) = -b**2 - 7*b + 3. Let x be t(-7). Solve 4*n - 15 = -3*a, -2*a - x*a + 2*n = k for a.\n' | b'1\n' | b'Suppose -60*h = -58*h - 2. Suppose 31*k - 30*k - h = 0. Let t(b) = -b**2 - 7*b + 3. Let x be t(-7). Solve 4*n - 15 = -3*a, -2*a - x*a + 2*n = k for a.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 2 p when two letters picked without replacement from {u: 3, p: 9}?\n' | b'6/11\n' | b'What is prob of picking 2 p when two letters picked without replacement from {u: 3, p: 9}?\n' | b'6/11\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ygbgggjyj. Give prob of sequence jjy.\n' | b'1/126\n' | b'Three letters picked without replacement from ygbgggjyj. Give prob of sequence jjy.\n' | b'1/126\n' | deepmind/math_dataset |
b'Let y(f) = -f**2 + 9*f + 14. Suppose -353 = -22*l - 67. Determine y(l).\n' | b'-38\n' | b'Let y(f) = -f**2 + 9*f + 14. Suppose -353 = -22*l - 67. Determine y(l).\n' | b'-38\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {j: 3, n: 5, t: 3}. What is prob of picking 1 j and 3 n?\n' | b'1/11\n' | b'Four letters picked without replacement from {j: 3, n: 5, t: 3}. What is prob of picking 1 j and 3 n?\n' | b'1/11\n' | deepmind/math_dataset |
b'Let j(u) = -u**3 + u + 8. Let f be j(0). Suppose 2 = q + f. Let z(m) = 7*m - 6*m + m**2 + 8 + 7*m. Calculate z(q).\n' | b'-4\n' | b'Let j(u) = -u**3 + u + 8. Let f be j(0). Suppose 2 = q + f. Let z(m) = 7*m - 6*m + m**2 + 8 + 7*m. Calculate z(q).\n' | b'-4\n' | deepmind/math_dataset |
b'Let s(k) = k**2 + k - 3. Let z be s(-4). What is the third derivative of -7*j**5 - 17*j**5 + 18*j**2 + z*j**5 wrt j?\n' | b'-900*j**2\n' | b'Let s(k) = k**2 + k - 3. Let z be s(-4). What is the third derivative of -7*j**5 - 17*j**5 + 18*j**2 + z*j**5 wrt j?\n' | b'-900*j**2\n' | deepmind/math_dataset |
b'What is prob of sequence aqa when three letters picked without replacement from {q: 12, a: 6}?\n' | b'5/68\n' | b'What is prob of sequence aqa when three letters picked without replacement from {q: 12, a: 6}?\n' | b'5/68\n' | deepmind/math_dataset |
b'Let v be (-6)/14 - 34/(-14). Differentiate 3 - o**v - 2 + 0 with respect to o.\n' | b'-2*o\n' | b'Let v be (-6)/14 - 34/(-14). Differentiate 3 - o**v - 2 + 0 with respect to o.\n' | b'-2*o\n' | deepmind/math_dataset |
b'Simplify ((m**(-4)/m**(-1/9))**(-11))**(21/8) assuming m is positive.\n' | b'm**(2695/24)\n' | b'Simplify ((m**(-4)/m**(-1/9))**(-11))**(21/8) assuming m is positive.\n' | b'm**(2695/24)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 t when two letters picked without replacement from totxttttttxttxxxtxtx.\n' | b'33/95\n' | b'Calculate prob of picking 2 t when two letters picked without replacement from totxttttttxttxxxtxtx.\n' | b'33/95\n' | deepmind/math_dataset |
b'Simplify ((i*i**(-4))/(i*i**(-6)))/(i**(-1/2))**(-6/13) assuming i is positive.\n' | b'i**(23/13)\n' | b'Simplify ((i*i**(-4))/(i*i**(-6)))/(i**(-1/2))**(-6/13) assuming i is positive.\n' | b'i**(23/13)\n' | deepmind/math_dataset |
b'What is prob of sequence kkz when three letters picked without replacement from zkkkzz?\n' | b'3/20\n' | b'What is prob of sequence kkz when three letters picked without replacement from zkkkzz?\n' | b'3/20\n' | deepmind/math_dataset |
b'Suppose h = 4*p + 23, -2*h + 5*p = 3*h - 40. Let k be (-189)/(-12) - h/(-12). Solve -7*q + 2*q - a + k = 0, 4*q = -3*a + 15 for q.\n' | b'3\n' | b'Suppose h = 4*p + 23, -2*h + 5*p = 3*h - 40. Let k be (-189)/(-12) - h/(-12). Solve -7*q + 2*q - a + k = 0, 4*q = -3*a + 15 for q.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from lujeu. What is prob of picking 1 u, 1 l, and 1 e?\n' | b'1/5\n' | b'Three letters picked without replacement from lujeu. What is prob of picking 1 u, 1 l, and 1 e?\n' | b'1/5\n' | deepmind/math_dataset |
b'Suppose 5*v = 12 - 2. Solve 4*p + 2*x - 6 = 0, x = -2*p + v*x - 3 for p.\n' | b'0\n' | b'Suppose 5*v = 12 - 2. Solve 4*p + 2*x - 6 = 0, x = -2*p + v*x - 3 for p.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from llpllppplllp. What is prob of picking 1 l and 1 p?\n' | b'35/66\n' | b'Two letters picked without replacement from llpllppplllp. What is prob of picking 1 l and 1 p?\n' | b'35/66\n' | deepmind/math_dataset |
b'What is prob of sequence mmd when three letters picked without replacement from wppjmdpmmdmmm?\n' | b'5/143\n' | b'What is prob of sequence mmd when three letters picked without replacement from wppjmdpmmdmmm?\n' | b'5/143\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 x, 1 j, and 2 k when four letters picked without replacement from {x: 8, j: 1, k: 6}.\n' | b'8/91\n' | b'Calculate prob of picking 1 x, 1 j, and 2 k when four letters picked without replacement from {x: 8, j: 1, k: 6}.\n' | b'8/91\n' | deepmind/math_dataset |
b'Let g(b) = -b**3 + 3*b**2 + 13*b - 10. Let w be g(5). Let a(r) = r**3 - 5*r**2 + r - 2. Calculate a(w).\n' | b'3\n' | b'Let g(b) = -b**3 + 3*b**2 + 13*b - 10. Let w be g(5). Let a(r) = r**3 - 5*r**2 + r - 2. Calculate a(w).\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (o/(o*o**(-5/2)))**(3/2)*((o*o*o/(o/o**(-6))*o)/o)/(o/(o/o**(-31))) assuming o is positive.\n' | b'o**(123/4)\n' | b'Simplify (o/(o*o**(-5/2)))**(3/2)*((o*o*o/(o/o**(-6))*o)/o)/(o/(o/o**(-31))) assuming o is positive.\n' | b'o**(123/4)\n' | deepmind/math_dataset |
b'Simplify v**(13/4)/(((v*v**(3/4)*v)/v)/v)*(v*v*v**3/v)**(-2/17) assuming v is positive.\n' | b'v**(69/34)\n' | b'Simplify v**(13/4)/(((v*v**(3/4)*v)/v)/v)*(v*v*v**3/v)**(-2/17) assuming v is positive.\n' | b'v**(69/34)\n' | deepmind/math_dataset |
b'Let z(w) be the first derivative of w**4/4 + 8*w**3/3 + 2*w**2 - 10*w + 19. Let u be z(-7). Solve 4*o = -2*h + 10, 8*o = 3*o - 2*h + u for o.\n' | b'1\n' | b'Let z(w) be the first derivative of w**4/4 + 8*w**3/3 + 2*w**2 - 10*w + 19. Let u be z(-7). Solve 4*o = -2*h + 10, 8*o = 3*o - 2*h + u for o.\n' | b'1\n' | deepmind/math_dataset |
b'Let j be (6/7)/((-5)/35). Let m(s) = s**3 + 5*s**2 - 6*s - 2. Calculate m(j).\n' | b'-2\n' | b'Let j be (6/7)/((-5)/35). Let m(s) = s**3 + 5*s**2 - 6*s - 2. Calculate m(j).\n' | b'-2\n' | deepmind/math_dataset |
b'Let a = -489 + 494. Solve 9*n = 8*n - a*r + 11, -3*r = -4*n - 2 for n.\n' | b'1\n' | b'Let a = -489 + 494. Solve 9*n = 8*n - a*r + 11, -3*r = -4*n - 2 for n.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence uuh when three letters picked without replacement from {q: 1, d: 1, h: 2, u: 1}.\n' | b'0\n' | b'Calculate prob of sequence uuh when three letters picked without replacement from {q: 1, d: 1, h: 2, u: 1}.\n' | b'0\n' | deepmind/math_dataset |
b'Differentiate 149*h - 2749*h**2 - 5353 - 1804*h**2 - 331*h + 182*h with respect to h.\n' | b'-9106*h\n' | b'Differentiate 149*h - 2749*h**2 - 5353 - 1804*h**2 - 331*h + 182*h with respect to h.\n' | b'-9106*h\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 1, u: 2, i: 1, o: 3, b: 5}. Give prob of sequence ibub.\n' | b'1/297\n' | b'Four letters picked without replacement from {a: 1, u: 2, i: 1, o: 3, b: 5}. Give prob of sequence ibub.\n' | b'1/297\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 d and 1 a when two letters picked without replacement from {d: 1, x: 1, m: 2, k: 2, a: 2}.\n' | b'1/14\n' | b'Calculate prob of picking 1 d and 1 a when two letters picked without replacement from {d: 1, x: 1, m: 2, k: 2, a: 2}.\n' | b'1/14\n' | deepmind/math_dataset |
b'Let n(w) = 8*w - 4. Let x(m) be the third derivative of -m**4/8 + m**3/6 - 7*m**2. Let z(u) = 4*n(u) + 11*x(u). Give z(-5).\n' | b'0\n' | b'Let n(w) = 8*w - 4. Let x(m) be the third derivative of -m**4/8 + m**3/6 - 7*m**2. Let z(u) = 4*n(u) + 11*x(u). Give z(-5).\n' | b'0\n' | deepmind/math_dataset |
b'Let j(t) = 3*t**3 + t - 1. Let l be 45/10 - 1/(-2). Suppose -4 = -4*o - 3*r, l*o - 4 = -3*r + 1. Determine j(o).\n' | b'3\n' | b'Let j(t) = 3*t**3 + t - 1. Let l be 45/10 - 1/(-2). Suppose -4 = -4*o - 3*r, l*o - 4 = -3*r + 1. Determine j(o).\n' | b'3\n' | deepmind/math_dataset |
b'Let p(q) = -2*q**2 + 14*q - 1. Let k(g) = g**2 + 39*g - 75. Let y be k(2). What is p(y)?\n' | b'-1\n' | b'Let p(q) = -2*q**2 + 14*q - 1. Let k(g) = g**2 + 39*g - 75. Let y be k(2). What is p(y)?\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (((i**(-11/2))**(-47))**(-6/19))**(-36) assuming i is positive.\n' | b'i**(55836/19)\n' | b'Simplify (((i**(-11/2))**(-47))**(-6/19))**(-36) assuming i is positive.\n' | b'i**(55836/19)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ac when two letters picked without replacement from {a: 8, h: 1, c: 1, y: 7}.\n' | b'1/34\n' | b'Calculate prob of sequence ac when two letters picked without replacement from {a: 8, h: 1, c: 1, y: 7}.\n' | b'1/34\n' | deepmind/math_dataset |
b'Let x(y) be the second derivative of 3*y**10/560 + 7*y**6/90 - y**3/6 - 5*y. Let c(f) be the second derivative of x(f). Find the third derivative of c(g) wrt g.\n' | b'3240*g**3\n' | b'Let x(y) be the second derivative of 3*y**10/560 + 7*y**6/90 - y**3/6 - 5*y. Let c(f) be the second derivative of x(f). Find the third derivative of c(g) wrt g.\n' | b'3240*g**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from podoaykoodkaaok. What is prob of picking 1 k, 1 o, 1 a, and 1 p?\n' | b'3/91\n' | b'Four letters picked without replacement from podoaykoodkaaok. What is prob of picking 1 k, 1 o, 1 a, and 1 p?\n' | b'3/91\n' | deepmind/math_dataset |
b'Simplify y**24*y**(9/5)*y assuming y is positive.\n' | b'y**(134/5)\n' | b'Simplify y**24*y**(9/5)*y assuming y is positive.\n' | b'y**(134/5)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 4, k: 2, m: 4, c: 10}. What is prob of picking 1 k, 1 c, and 1 m?\n' | b'4/57\n' | b'Three letters picked without replacement from {o: 4, k: 2, m: 4, c: 10}. What is prob of picking 1 k, 1 c, and 1 m?\n' | b'4/57\n' | deepmind/math_dataset |
b'Let a(l) = -2*l**3 - 19*l**2 - 3*l + 59. Let z be a(-9). Solve -4 + 8 = -4*q + 4*x, -19 = -z*q - x for q.\n' | b'3\n' | b'Let a(l) = -2*l**3 - 19*l**2 - 3*l + 59. Let z be a(-9). Solve -4 + 8 = -4*q + 4*x, -19 = -z*q - x for q.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((j**(6/11)/j)/((j**(-1/15)/j)/j))/(j*j**(1/6)/j*j**(-6/13)) assuming j is positive.\n' | b'j**(2727/1430)\n' | b'Simplify ((j**(6/11)/j)/((j**(-1/15)/j)/j))/(j*j**(1/6)/j*j**(-6/13)) assuming j is positive.\n' | b'j**(2727/1430)\n' | deepmind/math_dataset |
b'Simplify (((f*f**(16/3)*f*f)/f)/(f/f**16))/((f/f**(4/7))/f*f*f**8/f) assuming f is positive.\n' | b'f**(313/21)\n' | b'Simplify (((f*f**(16/3)*f*f)/f)/(f/f**16))/((f/f**(4/7))/f*f*f**8/f) assuming f is positive.\n' | b'f**(313/21)\n' | deepmind/math_dataset |
b'Let m = 1781 - 1760. Solve 0 = 4*j + y - m, -2*j - 2 = -6*y + 4*y for j.\n' | b'4\n' | b'Let m = 1781 - 1760. Solve 0 = 4*j + y - m, -2*j - 2 = -6*y + 4*y for j.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -3*o = -2*p - 0*p - 27, 5*p = -15. Let f be 3 - ((-52)/117 + (-8)/(-18)). Let a be (o/f)/(6/18). Solve -l - 2*s = -2 - 0, 3*l + 5*s - a = 0 for l.\n' | b'4\n' | b'Suppose -3*o = -2*p - 0*p - 27, 5*p = -15. Let f be 3 - ((-52)/117 + (-8)/(-18)). Let a be (o/f)/(6/18). Solve -l - 2*s = -2 - 0, 3*l + 5*s - a = 0 for l.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (b/(b*b/b**3*b))**(-43) assuming b is positive.\n' | b'b**(-43)\n' | b'Simplify (b/(b*b/b**3*b))**(-43) assuming b is positive.\n' | b'b**(-43)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from pivipgvt. Give prob of picking 1 t, 1 i, and 2 p.\n' | b'1/35\n' | b'Four letters picked without replacement from pivipgvt. Give prob of picking 1 t, 1 i, and 2 p.\n' | b'1/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 5, p: 2, o: 3, a: 3}. Give prob of sequence ok.\n' | b'5/52\n' | b'Two letters picked without replacement from {k: 5, p: 2, o: 3, a: 3}. Give prob of sequence ok.\n' | b'5/52\n' | deepmind/math_dataset |
b'Suppose -7*p - 3 = -10. Let i(x) = x**3 - 2*x**2. What is i(p)?\n' | b'-1\n' | b'Suppose -7*p - 3 = -10. Let i(x) = x**3 - 2*x**2. What is i(p)?\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose 7*d + 7 - 21 = 0. Solve -5*z - 5*f = -d*z + 17, 3*f - 1 = z for z.\n' | b'-4\n' | b'Suppose 7*d + 7 - 21 = 0. Solve -5*z - 5*f = -d*z + 17, 3*f - 1 = z for z.\n' | b'-4\n' | deepmind/math_dataset |
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