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'Two letters picked without replacement from qvqvv. What is prob of picking 2 q?\n' | b'1/10\n' | b'Two letters picked without replacement from qvqvv. What is prob of picking 2 q?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let a(z) be the second derivative of z**4/6 - z**3/2 + 6*z. Let k be a(2). Solve 3*g + k*y = 2*g - 8, -5*g = -y - 4 for g.\n' | b'0\n' | b'Let a(z) be the second derivative of z**4/6 - z**3/2 + 6*z. Let k be a(2). Solve 3*g + k*y = 2*g - 8, -5*g = -y - 4 for g.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify p/((p*p/(p/p**(7/6)))/p)*(p*p*p*p/((p*p**(-27))/p))/p*p*p*p**(-23)*(p**(-32)*p*p)/p assuming p is positive.\n' | b'p**(-133/6)\n' | b'Simplify p/((p*p/(p/p**(7/6)))/p)*(p*p*p*p/((p*p**(-27))/p))/p*p*p*p**(-23)*(p**(-32)*p*p)/p assuming p is positive.\n' | b'p**(-133/6)\n' | deepmind/math_dataset |
b'Suppose 9*f - 2*f = 14. Suppose -2*s - 5*a + 62 = 0, 0 = -0*s + f*s + a - 62. Solve -3*h = -2*k - 9, -5*h = -2*k + 4*k - s for h.\n' | b'5\n' | b'Suppose 9*f - 2*f = 14. Suppose -2*s - 5*a + 62 = 0, 0 = -0*s + f*s + a - 62. Solve -3*h = -2*k - 9, -5*h = -2*k + 4*k - s for h.\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from stroc. What is prob of picking 1 r, 1 o, and 1 t?\n' | b'1/10\n' | b'Three letters picked without replacement from stroc. What is prob of picking 1 r, 1 o, and 1 t?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let q = -12 + 36. Suppose 48*y - 3780 = 3*y. Let g be y/q*(-6)/(-7). Solve -4*w - g*f - 6 = -6*w, -1 = -5*w + 4*f for w.\n' | b'-3\n' | b'Let q = -12 + 36. Suppose 48*y - 3780 = 3*y. Let g be y/q*(-6)/(-7). Solve -4*w - g*f - 6 = -6*w, -1 = -5*w + 4*f for w.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence cd when two letters picked without replacement from ddgc.\n' | b'1/6\n' | b'Calculate prob of sequence cd when two letters picked without replacement from ddgc.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let k(l) = l**2 + l - 1. Let j(g) = -31*g**3 - 16*g**2 - 4*g + 4. Let v(z) = j(z) + 4*k(z). What is the third derivative of v(p) wrt p?\n' | b'-186\n' | b'Let k(l) = l**2 + l - 1. Let j(g) = -31*g**3 - 16*g**2 - 4*g + 4. Let v(z) = j(z) + 4*k(z). What is the third derivative of v(p) wrt p?\n' | b'-186\n' | deepmind/math_dataset |
b'Three letters picked without replacement from fquffffuffffqfu. Give prob of picking 2 u and 1 f.\n' | b'6/91\n' | b'Three letters picked without replacement from fquffffuffffqfu. Give prob of picking 2 u and 1 f.\n' | b'6/91\n' | deepmind/math_dataset |
b'Simplify k**(-12/5)*k*k*k**5/k*(k**(-2)*k)/k**(-2/33) assuming k is positive.\n' | b'k**(439/165)\n' | b'Simplify k**(-12/5)*k*k*k**5/k*(k**(-2)*k)/k**(-2/33) assuming k is positive.\n' | b'k**(439/165)\n' | deepmind/math_dataset |
b'Let n(t) be the third derivative of t**5/60 - t**3/3 + 77*t**2. What is n(-3)?\n' | b'7\n' | b'Let n(t) be the third derivative of t**5/60 - t**3/3 + 77*t**2. What is n(-3)?\n' | b'7\n' | deepmind/math_dataset |
b'Let x(b) be the second derivative of -b**5/20 - b**4/4 - 2*b**3/3 - 2*b**2 + 33*b. Calculate x(-3).\n' | b'8\n' | b'Let x(b) be the second derivative of -b**5/20 - b**4/4 - 2*b**3/3 - 2*b**2 + 33*b. Calculate x(-3).\n' | b'8\n' | deepmind/math_dataset |
b'Four letters picked without replacement from dxxxxdxdxddddddddd. Give prob of sequence dxdd.\n' | b'11/102\n' | b'Four letters picked without replacement from dxxxxdxdxddddddddd. Give prob of sequence dxdd.\n' | b'11/102\n' | deepmind/math_dataset |
b'Two letters picked without replacement from uzuzuuu. What is prob of sequence zz?\n' | b'1/21\n' | b'Two letters picked without replacement from uzuzuuu. What is prob of sequence zz?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let v(o) = -o**2 + 6*o + 8. Let f(m) = -m**2 + 6*m + 9. Let i(y) = -2*f(y) + 3*v(y). Give i(8).\n' | b'-10\n' | b'Let v(o) = -o**2 + 6*o + 8. Let f(m) = -m**2 + 6*m + 9. Let i(y) = -2*f(y) + 3*v(y). Give i(8).\n' | b'-10\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ollllol. What is prob of sequence llo?\n' | b'4/21\n' | b'Three letters picked without replacement from ollllol. What is prob of sequence llo?\n' | b'4/21\n' | deepmind/math_dataset |
b'Let h(a) be the first derivative of -37*a**4/4 - 6*a**2 - 8. What is the second derivative of h(c) wrt c?\n' | b'-222*c\n' | b'Let h(a) be the first derivative of -37*a**4/4 - 6*a**2 - 8. What is the second derivative of h(c) wrt c?\n' | b'-222*c\n' | deepmind/math_dataset |
b'Let y be 2/3 - 200/(-24). Let a(g) = -g**2 + 10*g + 6. Determine a(y).\n' | b'15\n' | b'Let y be 2/3 - 200/(-24). Let a(g) = -g**2 + 10*g + 6. Determine a(y).\n' | b'15\n' | deepmind/math_dataset |
b'Let h(r) = -r + 9. Let o be h(7). Let v(s) = -3 - 7*s + o + s**2 + 2 + 2. Give v(6).\n' | b'-3\n' | b'Let h(r) = -r + 9. Let o be h(7). Let v(s) = -3 - 7*s + o + s**2 + 2 + 2. Give v(6).\n' | b'-3\n' | deepmind/math_dataset |
b'Let b = -221 - -221. Solve -g + 1 = -0, b = -4*p + 3*g + 17 for p.\n' | b'5\n' | b'Let b = -221 - -221. Solve -g + 1 = -0, b = -4*p + 3*g + 17 for p.\n' | b'5\n' | deepmind/math_dataset |
b'Let g(t) = 2*t + 8. Suppose 4*y + 40 = 4*u, 2 = -u - 0*u - 2*y. Determine g(u).\n' | b'20\n' | b'Let g(t) = 2*t + 8. Suppose 4*y + 40 = 4*u, 2 = -u - 0*u - 2*y. Determine g(u).\n' | b'20\n' | deepmind/math_dataset |
b'Simplify (o**(2/5)*o*o**(1/3)*o)**46 assuming o is positive.\n' | b'o**(1886/15)\n' | b'Simplify (o**(2/5)*o*o**(1/3)*o)**46 assuming o is positive.\n' | b'o**(1886/15)\n' | deepmind/math_dataset |
b'What is the third derivative of -4*y**2 - 2*y**2 - 120*y**3 + 140*y**3 wrt y?\n' | b'120\n' | b'What is the third derivative of -4*y**2 - 2*y**2 - 120*y**3 + 140*y**3 wrt y?\n' | b'120\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ommoonmmxm. Give prob of sequence mn.\n' | b'1/18\n' | b'Two letters picked without replacement from ommoonmmxm. Give prob of sequence mn.\n' | b'1/18\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 p and 1 i when three letters picked without replacement from {p: 14, i: 5}.\n' | b'455/969\n' | b'Calculate prob of picking 2 p and 1 i when three letters picked without replacement from {p: 14, i: 5}.\n' | b'455/969\n' | deepmind/math_dataset |
b'Let l(f) = -f**3 - 3*f**2 + 4*f + 7. Let k be (0/2*-1)/(-1). Let w(j) = -2 + 4 + j - 1 + k. Let d(q) = -l(q) + 4*w(q). Calculate d(-3).\n' | b'-3\n' | b'Let l(f) = -f**3 - 3*f**2 + 4*f + 7. Let k be (0/2*-1)/(-1). Let w(j) = -2 + 4 + j - 1 + k. Let d(q) = -l(q) + 4*w(q). Calculate d(-3).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (l**17/l**(2/13))/(((l/l**11)/l)/(l*l*l/(l/l**(-1/3)))) assuming l is positive.\n' | b'l**(1151/39)\n' | b'Simplify (l**17/l**(2/13))/(((l/l**11)/l)/(l*l*l/(l/l**(-1/3)))) assuming l is positive.\n' | b'l**(1151/39)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 10}. Give prob of sequence ss.\n' | b'1\n' | b'Two letters picked without replacement from {s: 10}. Give prob of sequence ss.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 1 g and 1 d when two letters picked without replacement from {k: 1, p: 10, d: 1, g: 1}?\n' | b'1/78\n' | b'What is prob of picking 1 g and 1 d when two letters picked without replacement from {k: 1, p: 10, d: 1, g: 1}?\n' | b'1/78\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 1, k: 1, l: 1}. What is prob of picking 1 k and 1 q?\n' | b'1/3\n' | b'Two letters picked without replacement from {q: 1, k: 1, l: 1}. What is prob of picking 1 k and 1 q?\n' | b'1/3\n' | deepmind/math_dataset |
b'Simplify (s/s**(2/5)*s**(-1)*s*s)/(s*s**(-2/5))**19 assuming s is positive.\n' | b's**(-49/5)\n' | b'Simplify (s/s**(2/5)*s**(-1)*s*s)/(s*s**(-2/5))**19 assuming s is positive.\n' | b's**(-49/5)\n' | deepmind/math_dataset |
b'Simplify ((x**(1/8)*(x*x/(x**6/x)*x)/x)/(x**(-2)*x**(-6)))/((x**(-1/4)*x)/x*(x/(x**(-2/7)*x))/x*x*x/x**(-2/3)*x/x**(3/7)) assuming x is positive.\n' | b'x**(479/168)\n' | b'Simplify ((x**(1/8)*(x*x/(x**6/x)*x)/x)/(x**(-2)*x**(-6)))/((x**(-1/4)*x)/x*(x/(x**(-2/7)*x))/x*x*x/x**(-2/3)*x/x**(3/7)) assuming x is positive.\n' | b'x**(479/168)\n' | deepmind/math_dataset |
b'Simplify ((d/(d**(1/4)/d*d)*d)/d)**(-5/2)/(d*d**(-1))**(2/125) assuming d is positive.\n' | b'd**(-15/8)\n' | b'Simplify ((d/(d**(1/4)/d*d)*d)/d)**(-5/2)/(d*d**(-1))**(2/125) assuming d is positive.\n' | b'd**(-15/8)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 13, j: 2, e: 3}. Give prob of sequence jx.\n' | b'13/153\n' | b'Two letters picked without replacement from {x: 13, j: 2, e: 3}. Give prob of sequence jx.\n' | b'13/153\n' | deepmind/math_dataset |
b'Suppose 5*d - 126 = -3*v - v, 0 = -2*d + v + 53. Let i = 10 - d. Let g = -12 - i. Solve 4*j - 16 = 0, -2*y + 3*j - g*j + 6 = 0 for y.\n' | b'1\n' | b'Suppose 5*d - 126 = -3*v - v, 0 = -2*d + v + 53. Let i = 10 - d. Let g = -12 - i. Solve 4*j - 16 = 0, -2*y + 3*j - g*j + 6 = 0 for y.\n' | b'1\n' | deepmind/math_dataset |
b'Let m be ((-96)/(-8))/(2 + 0). Let r(q) = 6 + 175*q - m - 177*q. Determine r(-4).\n' | b'8\n' | b'Let m be ((-96)/(-8))/(2 + 0). Let r(q) = 6 + 175*q - m - 177*q. Determine r(-4).\n' | b'8\n' | deepmind/math_dataset |
b'Let q(s) = -3*s - 3. Let c(y) = 5*y**3 + 5*y**2 - 4*y - 38. Let o(z) = 6*z**3 + 5*z**2 - 3*z - 37. Let m(d) = -5*c(d) + 4*o(d). Let t be m(-5). Determine q(t).\n' | b'-9\n' | b'Let q(s) = -3*s - 3. Let c(y) = 5*y**3 + 5*y**2 - 4*y - 38. Let o(z) = 6*z**3 + 5*z**2 - 3*z - 37. Let m(d) = -5*c(d) + 4*o(d). Let t be m(-5). Determine q(t).\n' | b'-9\n' | deepmind/math_dataset |
b'Calculate prob of sequence kdr when three letters picked without replacement from {n: 2, k: 1, r: 1, d: 2, h: 1}.\n' | b'1/105\n' | b'Calculate prob of sequence kdr when three letters picked without replacement from {n: 2, k: 1, r: 1, d: 2, h: 1}.\n' | b'1/105\n' | deepmind/math_dataset |
b'Let b be -5*4/(-20) - 95. Let v = 94 + b. Solve 5*z + 2*i - 8 = -v, -5*z = 4*i - 6 for z.\n' | b'2\n' | b'Let b be -5*4/(-20) - 95. Let v = 94 + b. Solve 5*z + 2*i - 8 = -v, -5*z = 4*i - 6 for z.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 3, n: 1, w: 2, a: 1, i: 1, t: 5}. What is prob of picking 1 i and 1 t?\n' | b'5/78\n' | b'Two letters picked without replacement from {m: 3, n: 1, w: 2, a: 1, i: 1, t: 5}. What is prob of picking 1 i and 1 t?\n' | b'5/78\n' | deepmind/math_dataset |
b'Simplify a**(-14/3)/(a*a/(a/(a*a**(-4/3)))) assuming a is positive.\n' | b'a**(-16/3)\n' | b'Simplify a**(-14/3)/(a*a/(a/(a*a**(-4/3)))) assuming a is positive.\n' | b'a**(-16/3)\n' | deepmind/math_dataset |
b'Let d be (-14)/6 + (-10)/15. Let o(q) = -q. Let m(j) = -2*j. Let t(i) = d*o(i) + 2*m(i). Determine t(-6).\n' | b'6\n' | b'Let d be (-14)/6 + (-10)/15. Let o(q) = -q. Let m(j) = -2*j. Let t(i) = d*o(i) + 2*m(i). Determine t(-6).\n' | b'6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qymymmmmymmmmmh. Give prob of sequence my.\n' | b'1/7\n' | b'Two letters picked without replacement from qymymmmmymmmmmh. Give prob of sequence my.\n' | b'1/7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 2, b: 8, e: 4}. What is prob of picking 2 i and 1 e?\n' | b'1/91\n' | b'Three letters picked without replacement from {i: 2, b: 8, e: 4}. What is prob of picking 2 i and 1 e?\n' | b'1/91\n' | deepmind/math_dataset |
b'Let y(u) = -18 - 134 - 65 - 11*u. Let a be y(-20). Solve -1 = -2*r - a*l + 2*l, -r + 4*l = -23 for r.\n' | b'3\n' | b'Let y(u) = -18 - 134 - 65 - 11*u. Let a be y(-20). Solve -1 = -2*r - a*l + 2*l, -r + 4*l = -23 for r.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 9*c - 11 = -47. Suppose -4*a = a + 10. Let g be 5 + a/c*-2. Solve 2 = 3*q - 2*q + g*y, 0 = -3*q + 2*y - 8 for q.\n' | b'-2\n' | b'Suppose 9*c - 11 = -47. Suppose -4*a = a + 10. Let g be 5 + a/c*-2. Solve 2 = 3*q - 2*q + g*y, 0 = -3*q + 2*y - 8 for q.\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qqfgfgggggggfgqygggg. Give prob of sequence ffq.\n' | b'1/380\n' | b'Three letters picked without replacement from qqfgfgggggggfgqygggg. Give prob of sequence ffq.\n' | b'1/380\n' | deepmind/math_dataset |
b'Calculate prob of sequence sqq when three letters picked without replacement from qsqq.\n' | b'1/4\n' | b'Calculate prob of sequence sqq when three letters picked without replacement from qsqq.\n' | b'1/4\n' | deepmind/math_dataset |
b'Let k(z) = -5*z - 8*z**2 - 2*z**3 + 15 - 5 + z**3. Suppose 4*y - u - 3123 = 0, -y - 4*u + 785 = -0*y. Suppose 711 = 10*h + y. Give k(h).\n' | b'-4\n' | b'Let k(z) = -5*z - 8*z**2 - 2*z**3 + 15 - 5 + z**3. Suppose 4*y - u - 3123 = 0, -y - 4*u + 785 = -0*y. Suppose 711 = 10*h + y. Give k(h).\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {n: 3, h: 5, a: 2, b: 1, k: 1}. Give prob of sequence nhak.\n' | b'1/396\n' | b'Four letters picked without replacement from {n: 3, h: 5, a: 2, b: 1, k: 1}. Give prob of sequence nhak.\n' | b'1/396\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 5, c: 4, z: 10}. What is prob of picking 2 c?\n' | b'2/57\n' | b'Two letters picked without replacement from {d: 5, c: 4, z: 10}. What is prob of picking 2 c?\n' | b'2/57\n' | deepmind/math_dataset |
b'Suppose 0*t = t - 5. Let q be (11 + -12)/((-1)/t). Let j(z) = 4*z + 45. Let g be j(-10). Solve 4*b - 15 = -q*r - 5, g*r = 10 for b.\n' | b'0\n' | b'Suppose 0*t = t - 5. Let q be (11 + -12)/((-1)/t). Let j(z) = 4*z + 45. Let g be j(-10). Solve 4*b - 15 = -q*r - 5, g*r = 10 for b.\n' | b'0\n' | deepmind/math_dataset |
b'Let t be (-272)/224 - (-6)/28. Let c(s) = -16*s**2. Give c(t).\n' | b'-16\n' | b'Let t be (-272)/224 - (-6)/28. Let c(s) = -16*s**2. Give c(t).\n' | b'-16\n' | deepmind/math_dataset |
b'Suppose 0 = 96*s - 464 - 208. Solve s*b - 6 = 5*b - 2*q, 4*q = 0 for b.\n' | b'3\n' | b'Suppose 0 = 96*s - 464 - 208. Solve s*b - 6 = 5*b - 2*q, 4*q = 0 for b.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence tj when two letters picked without replacement from jtjjjjttjttt.\n' | b'3/11\n' | b'Calculate prob of sequence tj when two letters picked without replacement from jtjjjjttjttt.\n' | b'3/11\n' | deepmind/math_dataset |
b'What is prob of sequence hoe when three letters picked without replacement from {d: 1, o: 3, e: 5, h: 3}?\n' | b'3/88\n' | b'What is prob of sequence hoe when three letters picked without replacement from {d: 1, o: 3, e: 5, h: 3}?\n' | b'3/88\n' | deepmind/math_dataset |
b'Simplify (q**(1/28)*q*q**(10/3)/q)**(-13/4) assuming q is positive.\n' | b'q**(-3679/336)\n' | b'Simplify (q**(1/28)*q*q**(10/3)/q)**(-13/4) assuming q is positive.\n' | b'q**(-3679/336)\n' | deepmind/math_dataset |
b'Simplify (k**(-29)/(k*k/((k/((k/((k**(1/4)*k)/k))/k*k)*k)/k)))/((k*k**(1/25))/(k*k*k**(-4)/k)) assuming k is positive.\n' | b'k**(-3479/100)\n' | b'Simplify (k**(-29)/(k*k/((k/((k/((k**(1/4)*k)/k))/k*k)*k)/k)))/((k*k**(1/25))/(k*k*k**(-4)/k)) assuming k is positive.\n' | b'k**(-3479/100)\n' | deepmind/math_dataset |
b'Simplify t**12/t*(t**(-12)/t)/t assuming t is positive.\n' | b't**(-3)\n' | b'Simplify t**12/t*(t**(-12)/t)/t assuming t is positive.\n' | b't**(-3)\n' | deepmind/math_dataset |
b'Simplify (y*y**38*y*y**(-4/15)/y*y)/(y**(-2/55))**17 assuming y is positive.\n' | b'y**(6658/165)\n' | b'Simplify (y*y**38*y*y**(-4/15)/y*y)/(y**(-2/55))**17 assuming y is positive.\n' | b'y**(6658/165)\n' | deepmind/math_dataset |
b'What is prob of picking 3 k when three letters picked without replacement from kknkdkkkkd?\n' | b'7/24\n' | b'What is prob of picking 3 k when three letters picked without replacement from kknkdkkkkd?\n' | b'7/24\n' | deepmind/math_dataset |
b'Let x(w) be the first derivative of -w**2 - 4*w + 3. Let i be x(-2). Find the second derivative of i*c**3 + 3*c**3 - 5*c - 3*c**3 + 2*c**3 wrt c.\n' | b'12*c\n' | b'Let x(w) be the first derivative of -w**2 - 4*w + 3. Let i be x(-2). Find the second derivative of i*c**3 + 3*c**3 - 5*c - 3*c**3 + 2*c**3 wrt c.\n' | b'12*c\n' | deepmind/math_dataset |
b'Simplify ((x/(x/(x*x**1)))/x**(-6)*((x/(x**(-1)/x))/x*x)**(-31))/((x**(-5)*x*x**(2/7))/(x**(-2/3)*x*x**5*x*x*x*x)) assuming x is positive.\n' | b'x**(-1511/21)\n' | b'Simplify ((x/(x/(x*x**1)))/x**(-6)*((x/(x**(-1)/x))/x*x)**(-31))/((x**(-5)*x*x**(2/7))/(x**(-2/3)*x*x**5*x*x*x*x)) assuming x is positive.\n' | b'x**(-1511/21)\n' | deepmind/math_dataset |
b'Suppose -13*i = -10*i. Suppose -12 = -i*n - 4*n. Solve 3*b = -3*a - 9, -4*b + n*a - 2*a + 3 = 0 for b.\n' | b'0\n' | b'Suppose -13*i = -10*i. Suppose -12 = -i*n - 4*n. Solve 3*b = -3*a - 9, -4*b + n*a - 2*a + 3 = 0 for b.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((p/(p/(p**(-5/7)/p*p))*p)/(p*p*p*p**(-2/39)*p))**(-48) assuming p is positive.\n' | b'p**(16000/91)\n' | b'Simplify ((p/(p/(p**(-5/7)/p*p))*p)/(p*p*p*p**(-2/39)*p))**(-48) assuming p is positive.\n' | b'p**(16000/91)\n' | deepmind/math_dataset |
b'Let x(r) = -r**2 + 3*r + 7. Let q be x(4). Solve -q*b = 0, -2*l - 2*b = -5*b + 10 for l.\n' | b'-5\n' | b'Let x(r) = -r**2 + 3*r + 7. Let q be x(4). Solve -q*b = 0, -2*l - 2*b = -5*b + 10 for l.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 l, 1 j, and 1 x when three letters picked without replacement from {l: 4, j: 1, x: 4, k: 1}.\n' | b'2/15\n' | b'Calculate prob of picking 1 l, 1 j, and 1 x when three letters picked without replacement from {l: 4, j: 1, x: 4, k: 1}.\n' | b'2/15\n' | deepmind/math_dataset |
b'Let m = 7 - 3. Let o(r) = -r**3 + 3*r**2 + 6*r - 4. Let d be o(m). What is the third derivative of -2*j**d - 2*j**6 + j**2 + 2*j**4 wrt j?\n' | b'-240*j**3\n' | b'Let m = 7 - 3. Let o(r) = -r**3 + 3*r**2 + 6*r - 4. Let d be o(m). What is the third derivative of -2*j**d - 2*j**6 + j**2 + 2*j**4 wrt j?\n' | b'-240*j**3\n' | deepmind/math_dataset |
b'Find the second derivative of 20*q + 187*q**2 - 3237*q**2 - 4569*q**2 + 116*q - 6 + 65*q wrt q.\n' | b'-15238\n' | b'Find the second derivative of 20*q + 187*q**2 - 3237*q**2 - 4569*q**2 + 116*q - 6 + 65*q wrt q.\n' | b'-15238\n' | deepmind/math_dataset |
b'Let n(r) be the first derivative of -208*r**5/5 - 337*r - 1123. Differentiate n(g) with respect to g.\n' | b'-832*g**3\n' | b'Let n(r) be the first derivative of -208*r**5/5 - 337*r - 1123. Differentiate n(g) with respect to g.\n' | b'-832*g**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ywaaiaaawya. Give prob of picking 1 y and 1 a.\n' | b'12/55\n' | b'Two letters picked without replacement from ywaaiaaawya. Give prob of picking 1 y and 1 a.\n' | b'12/55\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 2, j: 1, y: 1, p: 6, u: 1, t: 4}. Give prob of sequence up.\n' | b'1/35\n' | b'Two letters picked without replacement from {w: 2, j: 1, y: 1, p: 6, u: 1, t: 4}. Give prob of sequence up.\n' | b'1/35\n' | deepmind/math_dataset |
b'Suppose 5*c + 2*b - 47 = 0, 2*b = 6*c - c - 43. Let n(u) = -69*u - 32. Let s(y) = -17*y - 8. Let a(f) = c*s(f) - 2*n(f). Differentiate a(w) wrt w.\n' | b'-15\n' | b'Suppose 5*c + 2*b - 47 = 0, 2*b = 6*c - c - 43. Let n(u) = -69*u - 32. Let s(y) = -17*y - 8. Let a(f) = c*s(f) - 2*n(f). Differentiate a(w) wrt w.\n' | b'-15\n' | deepmind/math_dataset |
b'Let j(x) = -x**2 - 7*x + 47. Let n be j(-11). Let f be (-3)/(3/(-5)) - n. Let o(t) be the second derivative of t**4/6 - t**3/2 + 3*t**2/2 + t. Calculate o(f).\n' | b'5\n' | b'Let j(x) = -x**2 - 7*x + 47. Let n be j(-11). Let f be (-3)/(3/(-5)) - n. Let o(t) be the second derivative of t**4/6 - t**3/2 + 3*t**2/2 + t. Calculate o(f).\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from znegeaj. What is prob of picking 1 z and 1 n?\n' | b'1/21\n' | b'Two letters picked without replacement from znegeaj. What is prob of picking 1 z and 1 n?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let k(g) be the third derivative of 0 + 4*g**2 - 1/24*g**4 + 0*g + 0*g**3. Determine k(-4).\n' | b'4\n' | b'Let k(g) be the third derivative of 0 + 4*g**2 - 1/24*g**4 + 0*g + 0*g**3. Determine k(-4).\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from pjjn. Give prob of picking 1 n, 1 p, and 1 j.\n' | b'1/2\n' | b'Three letters picked without replacement from pjjn. Give prob of picking 1 n, 1 p, and 1 j.\n' | b'1/2\n' | deepmind/math_dataset |
b'What is prob of sequence nw when two letters picked without replacement from {n: 1, y: 2, b: 3, w: 1, j: 3}?\n' | b'1/90\n' | b'What is prob of sequence nw when two letters picked without replacement from {n: 1, y: 2, b: 3, w: 1, j: 3}?\n' | b'1/90\n' | deepmind/math_dataset |
b'Calculate prob of sequence uts when three letters picked without replacement from {u: 2, t: 2, s: 4}.\n' | b'1/21\n' | b'Calculate prob of sequence uts when three letters picked without replacement from {u: 2, t: 2, s: 4}.\n' | b'1/21\n' | deepmind/math_dataset |
b'Calculate prob of sequence dhdd when four letters picked without replacement from dhddddhddddhddhddddh.\n' | b'455/3876\n' | b'Calculate prob of sequence dhdd when four letters picked without replacement from dhddddhddddhddhddddh.\n' | b'455/3876\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 2, v: 1, t: 1, n: 4, d: 3, x: 1}. What is prob of picking 1 n, 1 v, 1 x, and 1 y?\n' | b'8/495\n' | b'Four letters picked without replacement from {y: 2, v: 1, t: 1, n: 4, d: 3, x: 1}. What is prob of picking 1 n, 1 v, 1 x, and 1 y?\n' | b'8/495\n' | deepmind/math_dataset |
b'Let g(s) be the first derivative of -2*s**3/3 - 7*s**2/2 - 25. Calculate g(-5).\n' | b'-15\n' | b'Let g(s) be the first derivative of -2*s**3/3 - 7*s**2/2 - 25. Calculate g(-5).\n' | b'-15\n' | deepmind/math_dataset |
b'Let k = -4 - -6. Suppose -1 = k*f - 5. Let o(x) = x**3 + x**2 - 2. Determine o(f).\n' | b'10\n' | b'Let k = -4 - -6. Suppose -1 = k*f - 5. Let o(x) = x**3 + x**2 - 2. Determine o(f).\n' | b'10\n' | deepmind/math_dataset |
b'Let y(v) = 144*v - 2. Let l be y(1). Let w = l - 117. Solve 5*x - 3*d + 4 = -7, 4*x = -3*d - w for x.\n' | b'-4\n' | b'Let y(v) = 144*v - 2. Let l be y(1). Let w = l - 117. Solve 5*x - 3*d + 4 = -7, 4*x = -3*d - w for x.\n' | b'-4\n' | deepmind/math_dataset |
b'Let v(l) = 7*l**2 - 5*l + 8. Let a(u) = -u**3 - 8*u**2 - 12*u + 18. Let f be a(-5). Let m(k) = -5*k**2 + 5*k - 6. Let r(d) = f*v(d) + 4*m(d). Give r(-6).\n' | b'6\n' | b'Let v(l) = 7*l**2 - 5*l + 8. Let a(u) = -u**3 - 8*u**2 - 12*u + 18. Let f be a(-5). Let m(k) = -5*k**2 + 5*k - 6. Let r(d) = f*v(d) + 4*m(d). Give r(-6).\n' | b'6\n' | deepmind/math_dataset |
b'Suppose 0*a + 4 = 2*a. Suppose 0 = -7*x + a*x + 20. Suppose s + x = 3*s. Solve y = 0, -2*m - s - 8 = -y for m.\n' | b'-5\n' | b'Suppose 0*a + 4 = 2*a. Suppose 0 = -7*x + a*x + 20. Suppose s + x = 3*s. Solve y = 0, -2*m - s - 8 = -y for m.\n' | b'-5\n' | deepmind/math_dataset |
b'Let p(y) = 9*y - 17. Let d(t) = 17*t - 34. Let s(m) = -3*d(m) + 7*p(m). Find the first derivative of s(o) wrt o.\n' | b'12\n' | b'Let p(y) = 9*y - 17. Let d(t) = 17*t - 34. Let s(m) = -3*d(m) + 7*p(m). Find the first derivative of s(o) wrt o.\n' | b'12\n' | deepmind/math_dataset |
b'What is prob of sequence vs when two letters picked without replacement from lllslvvv?\n' | b'3/56\n' | b'What is prob of sequence vs when two letters picked without replacement from lllslvvv?\n' | b'3/56\n' | deepmind/math_dataset |
b'What is prob of picking 2 y and 1 b when three letters picked without replacement from {z: 4, y: 3, x: 2, q: 1, b: 9}?\n' | b'9/323\n' | b'What is prob of picking 2 y and 1 b when three letters picked without replacement from {z: 4, y: 3, x: 2, q: 1, b: 9}?\n' | b'9/323\n' | deepmind/math_dataset |
b'Let t = -1 + -5. Let k be (t/(-4))/(3/4). Differentiate -3*h**2 + 2 + 2*h**k - 3 wrt h.\n' | b'-2*h\n' | b'Let t = -1 + -5. Let k be (t/(-4))/(3/4). Differentiate -3*h**2 + 2 + 2*h**k - 3 wrt h.\n' | b'-2*h\n' | deepmind/math_dataset |
b'Three letters picked without replacement from cxhjconhxjjcjjjncnon. Give prob of sequence xnc.\n' | b'4/855\n' | b'Three letters picked without replacement from cxhjconhxjjcjjjncnon. Give prob of sequence xnc.\n' | b'4/855\n' | deepmind/math_dataset |
b'Suppose 3*g + 5 = 3*n + 17, -3*g + 6 = 0. Let y(r) = 16*r - 12. Let b(d) = 15*d - 11. Let q(p) = n*y(p) + 3*b(p). Differentiate q(c) wrt c.\n' | b'13\n' | b'Suppose 3*g + 5 = 3*n + 17, -3*g + 6 = 0. Let y(r) = 16*r - 12. Let b(d) = 15*d - 11. Let q(p) = n*y(p) + 3*b(p). Differentiate q(c) wrt c.\n' | b'13\n' | deepmind/math_dataset |
b'Let a(h) = h**2. Let p(q) = -2*q**4 + 18*q**2. Let f(i) = 5*a(i) - p(i). Find the third derivative of f(n) wrt n.\n' | b'48*n\n' | b'Let a(h) = h**2. Let p(q) = -2*q**4 + 18*q**2. Let f(i) = 5*a(i) - p(i). Find the third derivative of f(n) wrt n.\n' | b'48*n\n' | deepmind/math_dataset |
b'Let v(g) be the first derivative of -13*g**6/6 + 6*g**4 - 5*g**2 + 50*g - 1434. Find the second derivative of v(i) wrt i.\n' | b'-260*i**3 + 144*i\n' | b'Let v(g) be the first derivative of -13*g**6/6 + 6*g**4 - 5*g**2 + 50*g - 1434. Find the second derivative of v(i) wrt i.\n' | b'-260*i**3 + 144*i\n' | deepmind/math_dataset |
b'Let j(p) = -p - 7. Let y(l) = -l. Let m be y(-2). Suppose -44 = -4*h - 4*b, -3*h + b + 18 - 5 = 0. Let f be (3/h*0)/m. Determine j(f).\n' | b'-7\n' | b'Let j(p) = -p - 7. Let y(l) = -l. Let m be y(-2). Suppose -44 = -4*h - 4*b, -3*h + b + 18 - 5 = 0. Let f be (3/h*0)/m. Determine j(f).\n' | b'-7\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 l and 2 u when three letters picked without replacement from zzuubuwuuuubul.\n' | b'1/13\n' | b'Calculate prob of picking 1 l and 2 u when three letters picked without replacement from zzuubuwuuuubul.\n' | b'1/13\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 10, p: 2, g: 4}. Give prob of picking 3 g.\n' | b'1/140\n' | b'Three letters picked without replacement from {v: 10, p: 2, g: 4}. Give prob of picking 3 g.\n' | b'1/140\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 1, a: 11, c: 1, h: 4}. What is prob of sequence paa?\n' | b'11/408\n' | b'Three letters picked without replacement from {p: 1, a: 11, c: 1, h: 4}. What is prob of sequence paa?\n' | b'11/408\n' | deepmind/math_dataset |
b'Two letters picked without replacement from orrrorurorruro. What is prob of picking 1 o and 1 r?\n' | b'32/91\n' | b'Two letters picked without replacement from orrrorurorruro. What is prob of picking 1 o and 1 r?\n' | b'32/91\n' | deepmind/math_dataset |
b'Simplify (x/(x/(x**(-1)/x)))**(-37) assuming x is positive.\n' | b'x**74\n' | b'Simplify (x/(x/(x**(-1)/x)))**(-37) assuming x is positive.\n' | b'x**74\n' | deepmind/math_dataset |
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