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 picking 1 n and 1 a when two letters picked without replacement from {n: 1, m: 1, a: 1}?\n' | b'1/3\n' | b'What is prob of picking 1 n and 1 a when two letters picked without replacement from {n: 1, m: 1, a: 1}?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let q(d) be the second derivative of -2481*d**5/20 - 1387*d**4/3 - 327*d + 9. Find the third derivative of q(n) wrt n.\n' | b'-14886\n' | b'Let q(d) be the second derivative of -2481*d**5/20 - 1387*d**4/3 - 327*d + 9. Find the third derivative of q(n) wrt n.\n' | b'-14886\n' | deepmind/math_dataset |
b'Let s(y) be the second derivative of 3*y + 0*y**6 - 23/21*y**7 - 1/20*y**5 + 0*y**2 - 5/4*y**4 - 31 + 0*y**3. Find the third derivative of s(b) wrt b.\n' | b'-2760*b**2 - 6\n' | b'Let s(y) be the second derivative of 3*y + 0*y**6 - 23/21*y**7 - 1/20*y**5 + 0*y**2 - 5/4*y**4 - 31 + 0*y**3. Find the third derivative of s(b) wrt b.\n' | b'-2760*b**2 - 6\n' | deepmind/math_dataset |
b'Let m(l) be the first derivative of -l**4/4 + 7*l**3/3 - 5*l**2/2 + 3*l + 153. What is m(3)?\n' | b'24\n' | b'Let m(l) be the first derivative of -l**4/4 + 7*l**3/3 - 5*l**2/2 + 3*l + 153. What is m(3)?\n' | b'24\n' | deepmind/math_dataset |
b'Let b(j) = 2*j. Let w(g) = g**2 - g + 1. Let y(q) = -b(q) + 2*w(q). Let v be y(3). Suppose -4*a - v = -5*a. Solve -12 = 5*t + a, k - 3*t = 12 for k.\n' | b'0\n' | b'Let b(j) = 2*j. Let w(g) = g**2 - g + 1. Let y(q) = -b(q) + 2*w(q). Let v be y(3). Suppose -4*a - v = -5*a. Solve -12 = 5*t + a, k - 3*t = 12 for k.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (s**(-3)*s**(1/5))**(-4/19)/((s*s**9*s)/s*s**(-10))**(3/22) assuming s is positive.\n' | b's**(56/95)\n' | b'Simplify (s**(-3)*s**(1/5))**(-4/19)/((s*s**9*s)/s*s**(-10))**(3/22) assuming s is positive.\n' | b's**(56/95)\n' | deepmind/math_dataset |
b'Suppose -21 = 2*m - 5*m. Solve 0 = b + 3*b - j + m, -2*b = j - 1 for b.\n' | b'-1\n' | b'Suppose -21 = 2*m - 5*m. Solve 0 = b + 3*b - j + m, -2*b = j - 1 for b.\n' | b'-1\n' | deepmind/math_dataset |
b'Let s(j) be the first derivative of j**3/3 + 3*j**2 + j - 1. Suppose 4*o = 5*x + 26, -13 = 2*x - 0*x + o. Give s(x).\n' | b'1\n' | b'Let s(j) be the first derivative of j**3/3 + 3*j**2 + j - 1. Suppose 4*o = 5*x + 26, -13 = 2*x - 0*x + o. Give s(x).\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 n and 1 g when two letters picked without replacement from {g: 3, z: 4, n: 5}.\n' | b'5/22\n' | b'Calculate prob of picking 1 n and 1 g when two letters picked without replacement from {g: 3, z: 4, n: 5}.\n' | b'5/22\n' | deepmind/math_dataset |
b'Simplify (m/(m**(1/8)/m)*m*m**5)/((m*m**(3/5))/(m*(m*(m*m*((((m/(m/(m/((m*m**(-1/2))/m*m*m)*m)*m))/m)/m)/m)/m)/m)/m*m)) assuming m is positive.\n' | b'm**(191/40)\n' | b'Simplify (m/(m**(1/8)/m)*m*m**5)/((m*m**(3/5))/(m*(m*(m*m*((((m/(m/(m/((m*m**(-1/2))/m*m*m)*m)*m))/m)/m)/m)/m)/m)/m*m)) assuming m is positive.\n' | b'm**(191/40)\n' | deepmind/math_dataset |
b'Simplify (k/(k/((k**(4/5)/k)/k))*k**(1/4)*k**3/((k*k*k/(k*k**(-1))*k)/k))**38 assuming k is positive.\n' | b'k**(-361/10)\n' | b'Simplify (k/(k/((k**(4/5)/k)/k))*k**(1/4)*k**3/((k*k*k/(k*k**(-1))*k)/k))**38 assuming k is positive.\n' | b'k**(-361/10)\n' | deepmind/math_dataset |
b'Let p be (39 - 20) + ((-16)/88 - 26/(-22)). Solve 8*f = 10*f - 4*g + p, 2 = -3*f - g for f.\n' | b'-2\n' | b'Let p be (39 - 20) + ((-16)/88 - 26/(-22)). Solve 8*f = 10*f - 4*g + p, 2 = -3*f - g for f.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -4535*s = -4521*s - 42. Let m(g) = 2*g**2 + 4*g. Let k be m(-3). Solve -w - 6 = -0*t - s*t, 3*w - k = t for t.\n' | b'3\n' | b'Suppose -4535*s = -4521*s - 42. Let m(g) = 2*g**2 + 4*g. Let k be m(-3). Solve -w - 6 = -0*t - s*t, 3*w - k = t for t.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 3, m: 1, t: 1, s: 2, z: 4}. Give prob of picking 2 z and 1 t.\n' | b'2/55\n' | b'Three letters picked without replacement from {n: 3, m: 1, t: 1, s: 2, z: 4}. Give prob of picking 2 z and 1 t.\n' | b'2/55\n' | deepmind/math_dataset |
b'Let y(c) = 9*c**3 + 7*c**2 + 2*c + 11. Let h(o) = -5*o**3 - 4*o**2 - o - 6. Let n(b) = -11*h(b) - 6*y(b). Determine n(-2).\n' | b'2\n' | b'Let y(c) = 9*c**3 + 7*c**2 + 2*c + 11. Let h(o) = -5*o**3 - 4*o**2 - o - 6. Let n(b) = -11*h(b) - 6*y(b). Determine n(-2).\n' | b'2\n' | deepmind/math_dataset |
b'Let u = -20658 + 20672. Let p(l) = -3*l + 46. Give p(u).\n' | b'4\n' | b'Let u = -20658 + 20672. Let p(l) = -3*l + 46. Give p(u).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (v**(-32)*v**(2/19))/(v**(-23)*v)**(-22) assuming v is positive.\n' | b'v**(-9802/19)\n' | b'Simplify (v**(-32)*v**(2/19))/(v**(-23)*v)**(-22) assuming v is positive.\n' | b'v**(-9802/19)\n' | deepmind/math_dataset |
b'Let p(f) = f + 7. Let c be p(-6). Let x(m) = m - 1. Let u(r) = -r**2 - 9*r + 13. Let k(i) = c*u(i) + 6*x(i). Suppose -20 - 49 - 26 = 19*q. Determine k(q).\n' | b'-3\n' | b'Let p(f) = f + 7. Let c be p(-6). Let x(m) = m - 1. Let u(r) = -r**2 - 9*r + 13. Let k(i) = c*u(i) + 6*x(i). Suppose -20 - 49 - 26 = 19*q. Determine k(q).\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -4*f = -20, -3 = 3*p + 3*f - 27. Suppose 0 = -0*o + p*o. What is the second derivative of -3*h**5 + o*h**5 + 5*h**5 - 3*h wrt h?\n' | b'40*h**3\n' | b'Suppose -4*f = -20, -3 = 3*p + 3*f - 27. Suppose 0 = -0*o + p*o. What is the second derivative of -3*h**5 + o*h**5 + 5*h**5 - 3*h wrt h?\n' | b'40*h**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 q when four letters picked without replacement from qqqqqzqq.\n' | b'1/2\n' | b'Calculate prob of picking 4 q when four letters picked without replacement from qqqqqzqq.\n' | b'1/2\n' | deepmind/math_dataset |
b'What is prob of sequence gq when two letters picked without replacement from {y: 9, r: 2, g: 4, q: 1}?\n' | b'1/60\n' | b'What is prob of sequence gq when two letters picked without replacement from {y: 9, r: 2, g: 4, q: 1}?\n' | b'1/60\n' | deepmind/math_dataset |
b'Suppose h - 382 = -h. Differentiate 8 + 36*g - h*g**4 - 36*g - 126 wrt g.\n' | b'-764*g**3\n' | b'Suppose h - 382 = -h. Differentiate 8 + 36*g - h*g**4 - 36*g - 126 wrt g.\n' | b'-764*g**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 l and 3 w when four letters picked without replacement from lwwwwl.\n' | b'8/15\n' | b'Calculate prob of picking 1 l and 3 w when four letters picked without replacement from lwwwwl.\n' | b'8/15\n' | deepmind/math_dataset |
b'What is prob of picking 2 u and 1 o when three letters picked without replacement from ofohrfkur?\n' | b'0\n' | b'What is prob of picking 2 u and 1 o when three letters picked without replacement from ofohrfkur?\n' | b'0\n' | deepmind/math_dataset |
b'Let j be (-6)/(-4)*(-20160)/1890. Let u(c) = -c**3 - 15*c**2 + 10*c - 28. Calculate u(j).\n' | b'68\n' | b'Let j be (-6)/(-4)*(-20160)/1890. Let u(c) = -c**3 - 15*c**2 + 10*c - 28. Calculate u(j).\n' | b'68\n' | deepmind/math_dataset |
b'Let j(l) = l**2 + 3*l - 2. Suppose -3*a - d = -19, -2*a + 2*d - 1 = -3. Suppose -6 - 9 = a*b. Give j(b).\n' | b'-2\n' | b'Let j(l) = l**2 + 3*l - 2. Suppose -3*a - d = -19, -2*a + 2*d - 1 = -3. Suppose -6 - 9 = a*b. Give j(b).\n' | b'-2\n' | deepmind/math_dataset |
b'Let b be (7 - -1) + (-2 - 0). Let p = 17 - 5. Solve -4*z + 5*i - 4 = b, p = -2*z - i for z.\n' | b'-5\n' | b'Let b be (7 - -1) + (-2 - 0). Let p = 17 - 5. Solve -4*z + 5*i - 4 = b, p = -2*z - i for z.\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 1, n: 1, z: 2, o: 1, p: 1, r: 1}. Give prob of picking 2 z, 1 n, and 1 r.\n' | b'1/35\n' | b'Four letters picked without replacement from {f: 1, n: 1, z: 2, o: 1, p: 1, r: 1}. Give prob of picking 2 z, 1 n, and 1 r.\n' | b'1/35\n' | deepmind/math_dataset |
b'Simplify (j/(j/(j**(-1/5)/j))*j*j/j**(-2/7))**(-41) assuming j is positive.\n' | b'j**(-1558/35)\n' | b'Simplify (j/(j/(j**(-1/5)/j))*j*j/j**(-2/7))**(-41) assuming j is positive.\n' | b'j**(-1558/35)\n' | deepmind/math_dataset |
b'Let l(f) = -f**2 + 8*f + 20. Let g be l(-2). Solve 4*u = 4*s, 0 = -5*s - g*u - 4*u - 18 for s.\n' | b'-2\n' | b'Let l(f) = -f**2 + 8*f + 20. Let g be l(-2). Solve 4*u = 4*s, 0 = -5*s - g*u - 4*u - 18 for s.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 0 = 4*q + t - 52, -3*q - 15 = t - 53. Solve 3*d - 2*c + 13 = 0, q = -4*d - 223*c + 224*c for d.\n' | b'-3\n' | b'Suppose 0 = 4*q + t - 52, -3*q - 15 = t - 53. Solve 3*d - 2*c + 13 = 0, q = -4*d - 223*c + 224*c for d.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence ccs when three letters picked without replacement from {c: 2, s: 2}.\n' | b'1/6\n' | b'Calculate prob of sequence ccs when three letters picked without replacement from {c: 2, s: 2}.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let d(h) = h**2 + 8*h + 28. Let r be d(-8). Suppose 2*n + 2*z = 8, z = -0*n - 5*n + r. Solve 3*u + 25 = t - n*t, 2*u - 15 = 3*t for t.\n' | b'-5\n' | b'Let d(h) = h**2 + 8*h + 28. Let r be d(-8). Suppose 2*n + 2*z = 8, z = -0*n - 5*n + r. Solve 3*u + 25 = t - n*t, 2*u - 15 = 3*t for t.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {e: 1, b: 2, v: 3, r: 1}.\n' | b'1/21\n' | b'Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {e: 1, b: 2, v: 3, r: 1}.\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify (y**(-4)/((y**(3/7)*y)/y)*((y**(-1/3)/y)/y)**(-8/11))/((y/(y*y/(y**3*y*y)*y))/y**(-2/13)*(y/y**(2/5))**(-2/37)) assuming y is positive.\n' | b'y**(-3251672/555555)\n' | b'Simplify (y**(-4)/((y**(3/7)*y)/y)*((y**(-1/3)/y)/y)**(-8/11))/((y/(y*y/(y**3*y*y)*y))/y**(-2/13)*(y/y**(2/5))**(-2/37)) assuming y is positive.\n' | b'y**(-3251672/555555)\n' | deepmind/math_dataset |
b'Simplify ((y**6)**7)**(-47) assuming y is positive.\n' | b'y**(-1974)\n' | b'Simplify ((y**6)**7)**(-47) assuming y is positive.\n' | b'y**(-1974)\n' | deepmind/math_dataset |
b'Suppose 0 = 2*j + 3*j. Suppose 0 = w - 5*q + 25, -3*w - 576*q = -577*q - 9. Solve w*s = m + 11, j = 5*m + 4*s - 2*s - 26 for m.\n' | b'4\n' | b'Suppose 0 = 2*j + 3*j. Suppose 0 = w - 5*q + 25, -3*w - 576*q = -577*q - 9. Solve w*s = m + 11, j = 5*m + 4*s - 2*s - 26 for m.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (n**(-3/13)*n**(-11))/(n*n*n**(3/11)*n*n*(n**(-13)/n)/n) assuming n is positive.\n' | b'n**(-72/143)\n' | b'Simplify (n**(-3/13)*n**(-11))/(n*n*n**(3/11)*n*n*(n**(-13)/n)/n) assuming n is positive.\n' | b'n**(-72/143)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from swuuxhosx. What is prob of sequence su?\n' | b'1/18\n' | b'Two letters picked without replacement from swuuxhosx. What is prob of sequence su?\n' | b'1/18\n' | deepmind/math_dataset |
b'Simplify k**(-25)*k*k*k*k*(k/k**0)/k assuming k is positive.\n' | b'k**(-21)\n' | b'Simplify k**(-25)*k*k*k*k*(k/k**0)/k assuming k is positive.\n' | b'k**(-21)\n' | deepmind/math_dataset |
b'Let h = 359/534 + -1/178. Let l(p) be the third derivative of 6*p**2 + 1/24*p**4 + h*p**3 + 0 + 0*p. Calculate l(4).\n' | b'8\n' | b'Let h = 359/534 + -1/178. Let l(p) be the third derivative of 6*p**2 + 1/24*p**4 + h*p**3 + 0 + 0*p. Calculate l(4).\n' | b'8\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 8, r: 4, a: 4}. Give prob of sequence mrm.\n' | b'1/15\n' | b'Three letters picked without replacement from {m: 8, r: 4, a: 4}. Give prob of sequence mrm.\n' | b'1/15\n' | deepmind/math_dataset |
b'Let s(f) be the first derivative of 5/3*f**3 + 6 - 1/4*f**4 - 2*f + 2*f**2. What is s(5)?\n' | b'18\n' | b'Let s(f) be the first derivative of 5/3*f**3 + 6 - 1/4*f**4 - 2*f + 2*f**2. What is s(5)?\n' | b'18\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 2, t: 4, w: 2}. What is prob of picking 2 t?\n' | b'3/14\n' | b'Two letters picked without replacement from {s: 2, t: 4, w: 2}. What is prob of picking 2 t?\n' | b'3/14\n' | deepmind/math_dataset |
b'Four letters picked without replacement from thbhhvhhhthghgbjhbh. Give prob of picking 1 b and 3 h.\n' | b'30/323\n' | b'Four letters picked without replacement from thbhhvhhhthghgbjhbh. Give prob of picking 1 b and 3 h.\n' | b'30/323\n' | deepmind/math_dataset |
b'Three letters picked without replacement from bddqllnlnbqddlwdd. What is prob of picking 1 d, 1 q, and 1 n?\n' | b'3/85\n' | b'Three letters picked without replacement from bddqllnlnbqddlwdd. What is prob of picking 1 d, 1 q, and 1 n?\n' | b'3/85\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 3 k when four letters picked without replacement from {k: 7, e: 2, n: 2, v: 1}?\n' | b'14/99\n' | b'What is prob of picking 1 e and 3 k when four letters picked without replacement from {k: 7, e: 2, n: 2, v: 1}?\n' | b'14/99\n' | deepmind/math_dataset |
b'Two letters picked without replacement from eebde. Give prob of picking 1 e and 1 d.\n' | b'3/10\n' | b'Two letters picked without replacement from eebde. Give prob of picking 1 e and 1 d.\n' | b'3/10\n' | deepmind/math_dataset |
b'Suppose 40 = 4*g + g - o, 0 = -g - 5*o + 8. Solve -k - 7 = a, -3*a + 29 = -3*k - g*a for k.\n' | b'-3\n' | b'Suppose 40 = 4*g + g - o, 0 = -g - 5*o + 8. Solve -k - 7 = a, -3*a + 29 = -3*k - g*a for k.\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from dkddfddkdykdyyddddfd. What is prob of sequence ykf?\n' | b'1/380\n' | b'Three letters picked without replacement from dkddfddkdykdyyddddfd. What is prob of sequence ykf?\n' | b'1/380\n' | deepmind/math_dataset |
b'Let f be 4/14 + (-2)/7. Let a be 0 + 1 + (1 - f). Let z(s) = -2*s + 2*s + 2 - 2*s - 1 - s**3. Calculate z(a).\n' | b'-11\n' | b'Let f be 4/14 + (-2)/7. Let a be 0 + 1 + (1 - f). Let z(s) = -2*s + 2*s + 2 - 2*s - 1 - s**3. Calculate z(a).\n' | b'-11\n' | deepmind/math_dataset |
b'Let j(y) = -4*y + 15. Let a(w) = 7*w - 20. Let n(l) = -3*a(l) - 5*j(l). Calculate n(8).\n' | b'-23\n' | b'Let j(y) = -4*y + 15. Let a(w) = 7*w - 20. Let n(l) = -3*a(l) - 5*j(l). Calculate n(8).\n' | b'-23\n' | deepmind/math_dataset |
b'Let t(z) = 0*z**2 - 18*z - 9*z + 18*z - z**2 + 8. Let c be t(-9). Suppose 2*r + 4 = c. Solve -2 = 2*x + r*s + 2*s, 4 = -4*x + s for x.\n' | b'-1\n' | b'Let t(z) = 0*z**2 - 18*z - 9*z + 18*z - z**2 + 8. Let c be t(-9). Suppose 2*r + 4 = c. Solve -2 = 2*x + r*s + 2*s, 4 = -4*x + s for x.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (l*l**(-2/13)*l*l**(5/3))/((l/(l**(-1/4)*l))/l)**(-32)*l**(-2/7)/(l*l**0*l*l*l)*l**(2/7)*l*l*l*l**(-2/5)*l*l*l*l assuming l is positive.\n' | b'l**(-3488/195)\n' | b'Simplify (l*l**(-2/13)*l*l**(5/3))/((l/(l**(-1/4)*l))/l)**(-32)*l**(-2/7)/(l*l**0*l*l*l)*l**(2/7)*l*l*l*l**(-2/5)*l*l*l*l assuming l is positive.\n' | b'l**(-3488/195)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 7, y: 1, p: 1}. Give prob of picking 1 w and 1 p.\n' | b'7/36\n' | b'Two letters picked without replacement from {w: 7, y: 1, p: 1}. Give prob of picking 1 w and 1 p.\n' | b'7/36\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b and 1 m when two letters picked without replacement from {m: 1, z: 1, f: 1, s: 1, b: 2, t: 1}.\n' | b'2/21\n' | b'Calculate prob of picking 1 b and 1 m when two letters picked without replacement from {m: 1, z: 1, f: 1, s: 1, b: 2, t: 1}.\n' | b'2/21\n' | deepmind/math_dataset |
b'What is the first derivative of -19 - 18 + 27 - 5*f**4 wrt f?\n' | b'-20*f**3\n' | b'What is the first derivative of -19 - 18 + 27 - 5*f**4 wrt f?\n' | b'-20*f**3\n' | deepmind/math_dataset |
b'Suppose -2*f - 22 = -3*k - 2*k, -1 = 5*f + k. Let q(t) = -3*t**2 + 3*t**2 - 1 - 3*t**3. Let x be q(f). Solve 0 = 3*o, -2*n - 3 = x*o + 3 for n.\n' | b'-3\n' | b'Suppose -2*f - 22 = -3*k - 2*k, -1 = 5*f + k. Let q(t) = -3*t**2 + 3*t**2 - 1 - 3*t**3. Let x be q(f). Solve 0 = 3*o, -2*n - 3 = x*o + 3 for n.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence cf when two letters picked without replacement from {k: 1, c: 1, f: 2}.\n' | b'1/6\n' | b'Calculate prob of sequence cf when two letters picked without replacement from {k: 1, c: 1, f: 2}.\n' | b'1/6\n' | deepmind/math_dataset |
b'Suppose -4 = 4*m + 8, 4*h + 2*m + 34 = 0. Let l(q) = -3*q - 16. Determine l(h).\n' | b'5\n' | b'Suppose -4 = 4*m + 8, 4*h + 2*m + 34 = 0. Let l(q) = -3*q - 16. Determine l(h).\n' | b'5\n' | deepmind/math_dataset |
b'Let k(g) be the first derivative of 0*g**4 + 1/6*g**3 + 0*g + 1/60*g**5 - 2 + 2*g**2. Let j(y) be the second derivative of k(y). Differentiate j(p) wrt p.\n' | b'2*p\n' | b'Let k(g) be the first derivative of 0*g**4 + 1/6*g**3 + 0*g + 1/60*g**5 - 2 + 2*g**2. Let j(y) be the second derivative of k(y). Differentiate j(p) wrt p.\n' | b'2*p\n' | deepmind/math_dataset |
b'What is prob of sequence ww when two letters picked without replacement from {x: 4, w: 3, a: 4, d: 6}?\n' | b'3/136\n' | b'What is prob of sequence ww when two letters picked without replacement from {x: 4, w: 3, a: 4, d: 6}?\n' | b'3/136\n' | deepmind/math_dataset |
b'Three letters picked without replacement from rrviiiiroo. What is prob of sequence rvi?\n' | b'1/60\n' | b'Three letters picked without replacement from rrviiiiroo. What is prob of sequence rvi?\n' | b'1/60\n' | deepmind/math_dataset |
b'Four letters picked without replacement from itwtdtedteetit. What is prob of picking 1 w, 1 t, and 2 i?\n' | b'6/1001\n' | b'Four letters picked without replacement from itwtdtedteetit. What is prob of picking 1 w, 1 t, and 2 i?\n' | b'6/1001\n' | deepmind/math_dataset |
b'Let r be (-5 + 3 - -3)*0. Solve 2*h + 13 = -3*z, r = 3*z - 1 + 16 for h.\n' | b'1\n' | b'Let r be (-5 + 3 - -3)*0. Solve 2*h + 13 = -3*z, r = 3*z - 1 + 16 for h.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (((s/s**5)/(s/(s*s*s**8)))/(s*s**2)**(24/5))**(1/18) assuming s is positive.\n' | b's**(-47/90)\n' | b'Simplify (((s/s**5)/(s/(s*s*s**8)))/(s*s**2)**(24/5))**(1/18) assuming s is positive.\n' | b's**(-47/90)\n' | deepmind/math_dataset |
b'Let y = 0 + 20. Suppose 2*l = 2*i - 0*i - 10, 0 = 4*i + l - y. Solve 2*b = -4, -5*b + i = -8*d + 3*d for d.\n' | b'-3\n' | b'Let y = 0 + 20. Suppose 2*l = 2*i - 0*i - 10, 0 = 4*i + l - y. Solve 2*b = -4, -5*b + i = -8*d + 3*d for d.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify h/(h/(h*h**(3/37)))*h**(-23) assuming h is positive.\n' | b'h**(-811/37)\n' | b'Simplify h/(h/(h*h**(3/37)))*h**(-23) assuming h is positive.\n' | b'h**(-811/37)\n' | deepmind/math_dataset |
b'Let w(q) = -q - 3. Suppose -8*v + 474 + 550 = 0. Suppose 25*f - v = 9*f. Calculate w(f).\n' | b'-11\n' | b'Let w(q) = -q - 3. Suppose -8*v + 474 + 550 = 0. Suppose 25*f - v = 9*f. Calculate w(f).\n' | b'-11\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 13, r: 6}. What is prob of sequence rruu?\n' | b'65/1292\n' | b'Four letters picked without replacement from {u: 13, r: 6}. What is prob of sequence rruu?\n' | b'65/1292\n' | deepmind/math_dataset |
b'Let u(k) = -k**3 + 4*k**2 + 4*k - 7. Suppose 4 = 3*i - 5. Suppose 4*h = -5*d + 85, -3*d = i*h + d - 65. Suppose -4*z + z = -h. Give u(z).\n' | b'-12\n' | b'Let u(k) = -k**3 + 4*k**2 + 4*k - 7. Suppose 4 = 3*i - 5. Suppose 4*h = -5*d + 85, -3*d = i*h + d - 65. Suppose -4*z + z = -h. Give u(z).\n' | b'-12\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 1, k: 1, s: 1, a: 2, c: 1, x: 2}. Give prob of picking 1 c and 1 a.\n' | b'1/14\n' | b'Two letters picked without replacement from {z: 1, k: 1, s: 1, a: 2, c: 1, x: 2}. Give prob of picking 1 c and 1 a.\n' | b'1/14\n' | deepmind/math_dataset |
b'Suppose 0*a - c + 84 = -5*a, 0 = 27*c - 108. Let s(r) = -2*r**2 - 36*r - 71. What is s(a)?\n' | b'-7\n' | b'Suppose 0*a - c + 84 = -5*a, 0 = 27*c - 108. Let s(r) = -2*r**2 - 36*r - 71. What is s(a)?\n' | b'-7\n' | deepmind/math_dataset |
b'Let r(k) = -3*k**2 - k + 1. Let a be -2*((-21)/(-6) + -2). Let m = 4 + a. Calculate r(m).\n' | b'-3\n' | b'Let r(k) = -3*k**2 - k + 1. Let a be -2*((-21)/(-6) + -2). Let m = 4 + a. Calculate r(m).\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from bnb. What is prob of picking 3 n?\n' | b'0\n' | b'Three letters picked without replacement from bnb. What is prob of picking 3 n?\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of sequence rppq when four letters picked without replacement from {q: 2, a: 2, p: 2, h: 1, r: 1}?\n' | b'1/420\n' | b'What is prob of sequence rppq when four letters picked without replacement from {q: 2, a: 2, p: 2, h: 1, r: 1}?\n' | b'1/420\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ggnng. What is prob of sequence ggng?\n' | b'1/10\n' | b'Four letters picked without replacement from ggnng. What is prob of sequence ggng?\n' | b'1/10\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 n when three letters picked without replacement from {n: 8, u: 6, y: 3}.\n' | b'7/85\n' | b'Calculate prob of picking 3 n when three letters picked without replacement from {n: 8, u: 6, y: 3}.\n' | b'7/85\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 a and 1 d when two letters picked without replacement from {d: 3, a: 1, j: 1, e: 4, s: 5}.\n' | b'3/91\n' | b'Calculate prob of picking 1 a and 1 d when two letters picked without replacement from {d: 3, a: 1, j: 1, e: 4, s: 5}.\n' | b'3/91\n' | deepmind/math_dataset |
b'Let w(f) = f**3 - 6*f**2 + 5*f - 15. Let n be w(6). Let s be (-13)/(-5) - n/25. Solve -4*d - 3*m - s = 0, -3*d - 1 - 9 = -2*m for d.\n' | b'-2\n' | b'Let w(f) = f**3 - 6*f**2 + 5*f - 15. Let n be w(6). Let s be (-13)/(-5) - n/25. Solve -4*d - 3*m - s = 0, -3*d - 1 - 9 = -2*m for d.\n' | b'-2\n' | deepmind/math_dataset |
b'Let s(u) be the first derivative of -u**2 + 3*u - 162. Calculate s(2).\n' | b'-1\n' | b'Let s(u) be the first derivative of -u**2 + 3*u - 162. Calculate s(2).\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {l: 1, q: 12, j: 6}. What is prob of picking 3 q?\n' | b'220/969\n' | b'Three letters picked without replacement from {l: 1, q: 12, j: 6}. What is prob of picking 3 q?\n' | b'220/969\n' | deepmind/math_dataset |
b'Calculate prob of sequence pp when two letters picked without replacement from {p: 5}.\n' | b'1\n' | b'Calculate prob of sequence pp when two letters picked without replacement from {p: 5}.\n' | b'1\n' | deepmind/math_dataset |
b'Let h be (9 + 0)*(-19)/(-57). Let c = -336 + 343. Solve 5*t = 4*b - 20, h*b + 2*t + 1 + c = 0 for b.\n' | b'0\n' | b'Let h be (9 + 0)*(-19)/(-57). Let c = -336 + 343. Solve 5*t = 4*b - 20, h*b + 2*t + 1 + c = 0 for b.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence ps when two letters picked without replacement from ppcpptppctsp.\n' | b'7/132\n' | b'Calculate prob of sequence ps when two letters picked without replacement from ppcpptppctsp.\n' | b'7/132\n' | deepmind/math_dataset |
b'Let l = -33 + 34. Let m(d) = -d**3 - 6*d**2 + 2*d + 9. Let k be m(-6). Let t be 108/k*(-6)/8. Solve 4*i = 4*j + t + l, -4*i - 4*j = -12 for i.\n' | b'5\n' | b'Let l = -33 + 34. Let m(d) = -d**3 - 6*d**2 + 2*d + 9. Let k be m(-6). Let t be 108/k*(-6)/8. Solve 4*i = 4*j + t + l, -4*i - 4*j = -12 for i.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 5, x: 5}. What is prob of sequence xhhh?\n' | b'5/84\n' | b'Four letters picked without replacement from {h: 5, x: 5}. What is prob of sequence xhhh?\n' | b'5/84\n' | deepmind/math_dataset |
b'Let z be ((-51)/6 - -2)*-2. Suppose -2*o - 5*d = 0, -2*o + 7*o = -5*d + 15. Solve -o*p + 3 = z, 3*p + 3 = 3*c for c.\n' | b'-1\n' | b'Let z be ((-51)/6 - -2)*-2. Suppose -2*o - 5*d = 0, -2*o + 7*o = -5*d + 15. Solve -o*p + 3 = z, 3*p + 3 = 3*c for c.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {j: 4, u: 6, p: 1, w: 7}. What is prob of sequence jujj?\n' | b'1/510\n' | b'Four letters picked without replacement from {j: 4, u: 6, p: 1, w: 7}. What is prob of sequence jujj?\n' | b'1/510\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 1, r: 1, o: 2, y: 1}. What is prob of sequence ioo?\n' | b'1/30\n' | b'Three letters picked without replacement from {i: 1, r: 1, o: 2, y: 1}. What is prob of sequence ioo?\n' | b'1/30\n' | deepmind/math_dataset |
b'Let q(u) = -6*u**3 + 5 + u - 5. Let s be q(-1). Solve -s*j = -25, 2*n = 6*n + 2*j - 26 for n.\n' | b'4\n' | b'Let q(u) = -6*u**3 + 5 + u - 5. Let s be q(-1). Solve -s*j = -25, 2*n = 6*n + 2*j - 26 for n.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t and 1 p when two letters picked without replacement from ttptvyvvttppvfvp.\n' | b'1/6\n' | b'Calculate prob of picking 1 t and 1 p when two letters picked without replacement from ttptvyvvttppvfvp.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let o = 2 - 6. Suppose -4*p = -2*p - 4, 0 = -2*u - 5*p + 16. Let v(n) = -2 - 2*n + 2 - u. Give v(o).\n' | b'5\n' | b'Let o = 2 - 6. Suppose -4*p = -2*p - 4, 0 = -2*u - 5*p + 16. Let v(n) = -2 - 2*n + 2 - u. Give v(o).\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 i when four letters picked without replacement from ioiiibiobooo.\n' | b'1/99\n' | b'Calculate prob of picking 4 i when four letters picked without replacement from ioiiibiobooo.\n' | b'1/99\n' | deepmind/math_dataset |
b'Suppose k + k = 0. Let y = k - 10. Let w be (-4)/y*(1 - -9). Solve 0 = -3*v - v + w*l + 32, 2*v = -2*l - 4 for v.\n' | b'3\n' | b'Suppose k + k = 0. Let y = k - 10. Let w be (-4)/y*(1 - -9). Solve 0 = -3*v - v + w*l + 32, 2*v = -2*l - 4 for v.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (c**(-8/11)*c**(-2/13))/(c/c**3)**(-33/4) assuming c is positive.\n' | b'c**(-4971/286)\n' | b'Simplify (c**(-8/11)*c**(-2/13))/(c/c**3)**(-33/4) assuming c is positive.\n' | b'c**(-4971/286)\n' | deepmind/math_dataset |
b'Suppose s + 3*s = s. Let g be (-576)/(-126) - (6/(-14) + s). Let z be 3*(3 - g/3). Let t(r) = r**2 - 4*r + 2. Determine t(z).\n' | b'2\n' | b'Suppose s + 3*s = s. Let g be (-576)/(-126) - (6/(-14) + s). Let z be 3*(3 - g/3). Let t(r) = r**2 - 4*r + 2. Determine t(z).\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 1 y and 2 t when three letters picked without replacement from tttycutu?\n' | b'3/28\n' | b'What is prob of picking 1 y and 2 t when three letters picked without replacement from tttycutu?\n' | b'3/28\n' | deepmind/math_dataset |
b'Suppose 9*g - 20 = 5*g. Suppose 0*b + 4*v - 30 = -b, 0 = 3*b - 4*v - 42. Solve -h + g*o = h - b, o = -2 for h.\n' | b'4\n' | b'Suppose 9*g - 20 = 5*g. Suppose 0*b + 4*v - 30 = -b, 0 = 3*b - 4*v - 42. Solve -h + g*o = h - b, o = -2 for h.\n' | b'4\n' | deepmind/math_dataset |
b'Let u be 26 - (4/4)/(-1). Let v = 26 - u. Let l(g) = 7*g**2 + g + 1. Calculate l(v).\n' | b'7\n' | b'Let u be 26 - (4/4)/(-1). Let v = 26 - u. Let l(g) = 7*g**2 + g + 1. Calculate l(v).\n' | b'7\n' | deepmind/math_dataset |
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