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'Simplify k**29/k**36 assuming k is positive.\n' | b'k**(-7)\n' | b'Simplify k**29/k**36 assuming k is positive.\n' | b'k**(-7)\n' | deepmind/math_dataset |
b'Let c(g) = -g**2 + 6*g - 2. Let x(k) = k**2 - 5*k + 3. Let i(y) = -5*c(y) - 6*x(y). What is i(0)?\n' | b'-8\n' | b'Let c(g) = -g**2 + 6*g - 2. Let x(k) = k**2 - 5*k + 3. Let i(y) = -5*c(y) - 6*x(y). What is i(0)?\n' | b'-8\n' | deepmind/math_dataset |
b'Three letters picked without replacement from fccfcvufffcfvf. Give prob of sequence uff.\n' | b'1/52\n' | b'Three letters picked without replacement from fccfcvufffcfvf. Give prob of sequence uff.\n' | b'1/52\n' | deepmind/math_dataset |
b'Calculate prob of sequence nx when two letters picked without replacement from llulnuzjzzulxzx.\n' | b'1/105\n' | b'Calculate prob of sequence nx when two letters picked without replacement from llulnuzjzzulxzx.\n' | b'1/105\n' | deepmind/math_dataset |
b'Let t(r) = -6*r**3 - 2*r - 5. Let n(a) = 18*a**3 + 5*a + 14. Let g(s) = -4*n(s) - 11*t(s). What is g(1)?\n' | b'-5\n' | b'Let t(r) = -6*r**3 - 2*r - 5. Let n(a) = 18*a**3 + 5*a + 14. Let g(s) = -4*n(s) - 11*t(s). What is g(1)?\n' | b'-5\n' | deepmind/math_dataset |
b'Let k(m) = 2*m**2 - 28*m - 141. Let b be k(18). Solve -3*z + 6*z - b = -3*t, 4*t - 8 = -3*z for t.\n' | b'5\n' | b'Let k(m) = 2*m**2 - 28*m - 141. Let b be k(18). Solve -3*z + 6*z - b = -3*t, 4*t - 8 = -3*z for t.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from yjjyccyjj. Give prob of sequence yjyy.\n' | b'1/126\n' | b'Four letters picked without replacement from yjjyccyjj. Give prob of sequence yjyy.\n' | b'1/126\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 5, g: 4, l: 2}. What is prob of sequence gllg?\n' | b'1/330\n' | b'Four letters picked without replacement from {u: 5, g: 4, l: 2}. What is prob of sequence gllg?\n' | b'1/330\n' | deepmind/math_dataset |
b'Let a be (18/10 - 2)*-10. What is the second derivative of -116*y - 2*y**4 - 3 + 20*y**3 + 136*y + a wrt y?\n' | b'-24*y**2 + 120*y\n' | b'Let a be (18/10 - 2)*-10. What is the second derivative of -116*y - 2*y**4 - 3 + 20*y**3 + 136*y + a wrt y?\n' | b'-24*y**2 + 120*y\n' | deepmind/math_dataset |
b'What is prob of sequence xxx when three letters picked without replacement from xxxxxxxxxx?\n' | b'1\n' | b'What is prob of sequence xxx when three letters picked without replacement from xxxxxxxxxx?\n' | b'1\n' | deepmind/math_dataset |
b'Let d(a) = a**3 - 6*a**2 + 7*a - 1. Let f(g) = -g**2 + g. Let o(x) = 3*x**2 - 2. Let w(i) = -5*f(i) - o(i). Let v be w(3). Calculate d(v).\n' | b'9\n' | b'Let d(a) = a**3 - 6*a**2 + 7*a - 1. Let f(g) = -g**2 + g. Let o(x) = 3*x**2 - 2. Let w(i) = -5*f(i) - o(i). Let v be w(3). Calculate d(v).\n' | b'9\n' | deepmind/math_dataset |
b'Suppose -7 + 4 = -w. Let n(m) = -m**3 + 4*m**2 - 2*m - 3. Let x be n(w). Let y be (-14)/(-6) - (-1)/(-3). Solve x = 3*i - 5*v - 1, y*i - v = 2*v + 1 for i.\n' | b'2\n' | b'Suppose -7 + 4 = -w. Let n(m) = -m**3 + 4*m**2 - 2*m - 3. Let x be n(w). Let y be (-14)/(-6) - (-1)/(-3). Solve x = 3*i - 5*v - 1, y*i - v = 2*v + 1 for i.\n' | b'2\n' | deepmind/math_dataset |
b'Let w be (2/(-4))/((-1)/(-8)). Let h(k) = -k**3 - 5*k**2 - 6*k - 4. Give h(w).\n' | b'4\n' | b'Let w be (2/(-4))/((-1)/(-8)). Let h(k) = -k**3 - 5*k**2 - 6*k - 4. Give h(w).\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of sequence umuu when four letters picked without replacement from mmumummmmmmmmmumum.\n' | b'7/1530\n' | b'Calculate prob of sequence umuu when four letters picked without replacement from mmumummmmmmmmmumum.\n' | b'7/1530\n' | deepmind/math_dataset |
b'Suppose -2*v = 4 + 2. Let g = 3 + 2. Let q = g + v. Solve 2*r - 6*r + 10 = 3*o, q*r = 4*o + 16 for o.\n' | b'-2\n' | b'Suppose -2*v = 4 + 2. Let g = 3 + 2. Let q = g + v. Solve 2*r - 6*r + 10 = 3*o, q*r = 4*o + 16 for o.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zzjzzzjzzjjzzj. What is prob of picking 1 z and 1 j?\n' | b'45/91\n' | b'Two letters picked without replacement from zzjzzzjzzjjzzj. What is prob of picking 1 z and 1 j?\n' | b'45/91\n' | deepmind/math_dataset |
b'What is prob of sequence agg when three letters picked without replacement from {g: 5, j: 1, a: 2, v: 4, o: 2}?\n' | b'5/273\n' | b'What is prob of sequence agg when three letters picked without replacement from {g: 5, j: 1, a: 2, v: 4, o: 2}?\n' | b'5/273\n' | deepmind/math_dataset |
b'Let x(s) = 89*s**3 + 6*s**2 - 6*s + 1. Let n(w) = 88*w**3 + 7*w**2 - 7*w + 2. Let d(c) = -6*n(c) + 7*x(c). Differentiate d(f) with respect to f.\n' | b'285*f**2\n' | b'Let x(s) = 89*s**3 + 6*s**2 - 6*s + 1. Let n(w) = 88*w**3 + 7*w**2 - 7*w + 2. Let d(c) = -6*n(c) + 7*x(c). Differentiate d(f) with respect to f.\n' | b'285*f**2\n' | deepmind/math_dataset |
b'Let l(n) be the third derivative of 7*n**6/120 + 5*n**4/24 - n**2. Find the second derivative of l(d) wrt d.\n' | b'42*d\n' | b'Let l(n) be the third derivative of 7*n**6/120 + 5*n**4/24 - n**2. Find the second derivative of l(d) wrt d.\n' | b'42*d\n' | deepmind/math_dataset |
b'Suppose 16*a = 15*a. Solve 4*i = -2*t - 6, a = -4*i + 2*t - 10 for i.\n' | b'-2\n' | b'Suppose 16*a = 15*a. Solve 4*i = -2*t - 6, a = -4*i + 2*t - 10 for i.\n' | b'-2\n' | deepmind/math_dataset |
b'Let h(o) = -o**3 + 3*o**2 - o - 4. Suppose -4*f + 31 = 5*a, 0*f - 16 = -4*f. Let n be h(a). Let u = n - -11. Solve -8 = -u*w, -3*v = -4*w - 9 + 23 for v.\n' | b'-2\n' | b'Let h(o) = -o**3 + 3*o**2 - o - 4. Suppose -4*f + 31 = 5*a, 0*f - 16 = -4*f. Let n be h(a). Let u = n - -11. Solve -8 = -u*w, -3*v = -4*w - 9 + 23 for v.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 1 k and 2 g when three letters picked without replacement from {g: 5, k: 8}?\n' | b'40/143\n' | b'What is prob of picking 1 k and 2 g when three letters picked without replacement from {g: 5, k: 8}?\n' | b'40/143\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 2, b: 2, e: 5}. Give prob of picking 2 b and 1 p.\n' | b'1/42\n' | b'Three letters picked without replacement from {p: 2, b: 2, e: 5}. Give prob of picking 2 b and 1 p.\n' | b'1/42\n' | deepmind/math_dataset |
b'What is the second derivative of 10*r**3 + 106*r**2 - 101*r**2 - 2*r - 28 - 15*r**3 - 13*r**3 wrt r?\n' | b'-108*r + 10\n' | b'What is the second derivative of 10*r**3 + 106*r**2 - 101*r**2 - 2*r - 28 - 15*r**3 - 13*r**3 wrt r?\n' | b'-108*r + 10\n' | deepmind/math_dataset |
b'What is prob of picking 1 p and 1 n when two letters picked without replacement from pccqncnnpn?\n' | b'8/45\n' | b'What is prob of picking 1 p and 1 n when two letters picked without replacement from pccqncnnpn?\n' | b'8/45\n' | deepmind/math_dataset |
b'Let x(o) = 454*o - 319. Let y(v) = 3*v - 1. Let d(n) = -x(n) - 6*y(n). Differentiate d(f) with respect to f.\n' | b'-472\n' | b'Let x(o) = 454*o - 319. Let y(v) = 3*v - 1. Let d(n) = -x(n) - 6*y(n). Differentiate d(f) with respect to f.\n' | b'-472\n' | deepmind/math_dataset |
b'Two letters picked without replacement from fffmmfffffvqfff. What is prob of picking 1 f and 1 m?\n' | b'22/105\n' | b'Two letters picked without replacement from fffmmfffffvqfff. What is prob of picking 1 f and 1 m?\n' | b'22/105\n' | deepmind/math_dataset |
b'Simplify (((x/(x**(-6/7)*x))/x)/(x/x**(1/14))*(x**6/x)**(-2/5))**(-12) assuming x is positive.\n' | b'x**(258/7)\n' | b'Simplify (((x/(x**(-6/7)*x))/x)/(x/x**(1/14))*(x**6/x)**(-2/5))**(-12) assuming x is positive.\n' | b'x**(258/7)\n' | deepmind/math_dataset |
b'Simplify ((d*d*d/(d/(d/d**8))*d**6*d**7/(d**(-1/4)*d))**(-29))**42 assuming d is positive.\n' | b'd**(-17661/2)\n' | b'Simplify ((d*d*d/(d/(d/d**8))*d**6*d**7/(d**(-1/4)*d))**(-29))**42 assuming d is positive.\n' | b'd**(-17661/2)\n' | deepmind/math_dataset |
b'Suppose 47*k = 178 + 10. Let g(n) = n + 16. Let j be g(14). Let m = -26 + j. Solve -5*y - 20 = -0*u - 5*u, -k*y = m*u - 8 for u.\n' | b'3\n' | b'Suppose 47*k = 178 + 10. Let g(n) = n + 16. Let j be g(14). Let m = -26 + j. Solve -5*y - 20 = -0*u - 5*u, -k*y = m*u - 8 for u.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 8*z = 14*z + 24. Let b be (1/1 - 2)/(z/100). Solve -2*y - 25 = -3*d, -5*y - b + 0 = 0 for d.\n' | b'5\n' | b'Suppose 8*z = 14*z + 24. Let b be (1/1 - 2)/(z/100). Solve -2*y - 25 = -3*d, -5*y - b + 0 = 0 for d.\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zdddzzkkdzzkzkd. Give prob of picking 2 z and 1 k.\n' | b'12/91\n' | b'Three letters picked without replacement from zdddzzkkdzzkzkd. Give prob of picking 2 z and 1 k.\n' | b'12/91\n' | deepmind/math_dataset |
b'Let x(p) = 7*p**3 + p**2 - p - 1. Let w(l) = -5*l**2 + 5 - 6*l + 2*l**2 + 2*l**2. Let d be w(-7). Let u be 0/d + 1 + -2. What is x(u)?\n' | b'-6\n' | b'Let x(p) = 7*p**3 + p**2 - p - 1. Let w(l) = -5*l**2 + 5 - 6*l + 2*l**2 + 2*l**2. Let d be w(-7). Let u be 0/d + 1 + -2. What is x(u)?\n' | b'-6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 4, g: 4, r: 4, k: 2, f: 6}. Give prob of sequence kr.\n' | b'2/95\n' | b'Two letters picked without replacement from {z: 4, g: 4, r: 4, k: 2, f: 6}. Give prob of sequence kr.\n' | b'2/95\n' | deepmind/math_dataset |
b'Let i = 15 - 9. Suppose 4 = -i*l + 2*l. Let d = 6 + l. Solve 2*t + 6 = -d*r + 2, -8 = 3*r + 4*t for r.\n' | b'0\n' | b'Let i = 15 - 9. Suppose 4 = -i*l + 2*l. Let d = 6 + l. Solve 2*t + 6 = -d*r + 2, -8 = 3*r + 4*t for r.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 2, b: 4, x: 3, c: 2}. Give prob of sequence xnn.\n' | b'1/165\n' | b'Three letters picked without replacement from {n: 2, b: 4, x: 3, c: 2}. Give prob of sequence xnn.\n' | b'1/165\n' | deepmind/math_dataset |
b'Let k(r) = -112*r**2 + r + 13. Let o(m) = -30 - 37 - 32 - 3*m + 100 + m**2. Let g(w) = -k(w) + 2*o(w). Find the second derivative of g(a) wrt a.\n' | b'228\n' | b'Let k(r) = -112*r**2 + r + 13. Let o(m) = -30 - 37 - 32 - 3*m + 100 + m**2. Let g(w) = -k(w) + 2*o(w). Find the second derivative of g(a) wrt a.\n' | b'228\n' | deepmind/math_dataset |
b'Suppose -9 = -2*p + 5. Let f(y) = -y - 8. Let n be f(-9). Suppose 3*w + 3*b = 6, -8 = 3*b + n. Solve q - 5 = p*t - 3*t, -q + w*t = -5 for q.\n' | b'5\n' | b'Suppose -9 = -2*p + 5. Let f(y) = -y - 8. Let n be f(-9). Suppose 3*w + 3*b = 6, -8 = 3*b + n. Solve q - 5 = p*t - 3*t, -q + w*t = -5 for q.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence kt when two letters picked without replacement from ttttttttktttttt.\n' | b'1/15\n' | b'Calculate prob of sequence kt when two letters picked without replacement from ttttttttktttttt.\n' | b'1/15\n' | deepmind/math_dataset |
b'Let a = -118 + 120. Solve 0 = -a*v + 5*q - 11, -2*q - 3*q + 5 = 0 for v.\n' | b'-3\n' | b'Let a = -118 + 120. Solve 0 = -a*v + 5*q - 11, -2*q - 3*q + 5 = 0 for v.\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {s: 1, a: 2, k: 2, d: 2, u: 4, o: 1}. What is prob of picking 1 a, 1 s, 1 u, and 1 d?\n' | b'16/495\n' | b'Four letters picked without replacement from {s: 1, a: 2, k: 2, d: 2, u: 4, o: 1}. What is prob of picking 1 a, 1 s, 1 u, and 1 d?\n' | b'16/495\n' | deepmind/math_dataset |
b'Let j(l) be the first derivative of -245*l**4/4 + 99*l**3 + 53. What is the third derivative of j(c) wrt c?\n' | b'-1470\n' | b'Let j(l) be the first derivative of -245*l**4/4 + 99*l**3 + 53. What is the third derivative of j(c) wrt c?\n' | b'-1470\n' | deepmind/math_dataset |
b'Three letters picked without replacement from txxtqtqxxqxxqqtoq. What is prob of picking 1 o and 2 t?\n' | b'3/340\n' | b'Three letters picked without replacement from txxtqtqxxqxxqqtoq. What is prob of picking 1 o and 2 t?\n' | b'3/340\n' | deepmind/math_dataset |
b'Calculate prob of sequence azsa when four letters picked without replacement from ssysasaz.\n' | b'1/210\n' | b'Calculate prob of sequence azsa when four letters picked without replacement from ssysasaz.\n' | b'1/210\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 1, v: 5, l: 2, d: 2, j: 2, u: 1}. Give prob of picking 1 v and 1 l.\n' | b'5/39\n' | b'Two letters picked without replacement from {b: 1, v: 5, l: 2, d: 2, j: 2, u: 1}. Give prob of picking 1 v and 1 l.\n' | b'5/39\n' | deepmind/math_dataset |
b'Let n(p) be the third derivative of p**8/20160 - p**7/5040 - p**6/720 - p**5/12 - 5*p**2. Let x(h) be the third derivative of n(h). What is x(-2)?\n' | b'5\n' | b'Let n(p) be the third derivative of p**8/20160 - p**7/5040 - p**6/720 - p**5/12 - 5*p**2. Let x(h) be the third derivative of n(h). What is x(-2)?\n' | b'5\n' | deepmind/math_dataset |
b'Let u = -1 - -4. Suppose 0*a + 2*a = -4*w, 0 = 2*a + u*w - 1. Solve a*l = -3*p - 0*l + 9, 3*l = -3*p + 6 for p.\n' | b'5\n' | b'Let u = -1 - -4. Suppose 0*a + 2*a = -4*w, 0 = 2*a + u*w - 1. Solve a*l = -3*p - 0*l + 9, 3*l = -3*p + 6 for p.\n' | b'5\n' | deepmind/math_dataset |
b'Let o be (-2)/(-1*2/3). Suppose 24 - 10 = 3*b + g, 0 = 2*b - 4*g + 14. Solve u + 4*p = -14 - b, o*p = 5*u - 7 for u.\n' | b'-1\n' | b'Let o be (-2)/(-1*2/3). Suppose 24 - 10 = 3*b + g, 0 = 2*b - 4*g + 14. Solve u + 4*p = -14 - b, o*p = 5*u - 7 for u.\n' | b'-1\n' | deepmind/math_dataset |
b'Let y = 185 - 180. Let d(p) be the second derivative of 5/6*p**3 - y*p + 0*p**4 - 1/10*p**6 + 0*p**2 + 0 + 0*p**5. What is the second derivative of d(u) wrt u?\n' | b'-36*u**2\n' | b'Let y = 185 - 180. Let d(p) be the second derivative of 5/6*p**3 - y*p + 0*p**4 - 1/10*p**6 + 0*p**2 + 0 + 0*p**5. What is the second derivative of d(u) wrt u?\n' | b'-36*u**2\n' | deepmind/math_dataset |
b'Simplify (i/(i**(-7)*i)*i**(1/9)/i)**(-17)*(i**6/(((i**5/i)/i)/i))**(-8/3) assuming i is positive.\n' | b'i**(-1031/9)\n' | b'Simplify (i/(i**(-7)*i)*i**(1/9)/i)**(-17)*(i**6/(((i**5/i)/i)/i))**(-8/3) assuming i is positive.\n' | b'i**(-1031/9)\n' | deepmind/math_dataset |
b'Let z(i) be the first derivative of 3797*i**5/5 + i**4/4 - 5621*i**3/3 + 1043. Find the third derivative of z(y) wrt y.\n' | b'91128*y + 6\n' | b'Let z(i) be the first derivative of 3797*i**5/5 + i**4/4 - 5621*i**3/3 + 1043. Find the third derivative of z(y) wrt y.\n' | b'91128*y + 6\n' | deepmind/math_dataset |
b'Simplify (t/(t*t/(t*t/(t/(t/t**(-3))))*t)*t)**(-23)*(t*t/(t*((t*t/(t*t*t**(1/18)))/t)/t*t))/t*(t/t**(-3/11))/t assuming t is positive.\n' | b't**(-17953/198)\n' | b'Simplify (t/(t*t/(t*t/(t/(t/t**(-3))))*t)*t)**(-23)*(t*t/(t*((t*t/(t*t*t**(1/18)))/t)/t*t))/t*(t/t**(-3/11))/t assuming t is positive.\n' | b't**(-17953/198)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ddd when three letters picked without replacement from ddddddd.\n' | b'1\n' | b'Calculate prob of sequence ddd when three letters picked without replacement from ddddddd.\n' | b'1\n' | deepmind/math_dataset |
b'Let o be (-8)/(-20) - 39/(-15). Solve -o = -2*d - 1, 5*m = d - 11 for m.\n' | b'-2\n' | b'Let o be (-8)/(-20) - 39/(-15). Solve -o = -2*d - 1, 5*m = d - 11 for m.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (f**5)**(-25)/((f**(-20)/f)/(f/(f/f**11))) assuming f is positive.\n' | b'f**(-93)\n' | b'Simplify (f**5)**(-25)/((f**(-20)/f)/(f/(f/f**11))) assuming f is positive.\n' | b'f**(-93)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kvvkkkyvkkky. Give prob of sequence yv.\n' | b'1/22\n' | b'Two letters picked without replacement from kvvkkkyvkkky. Give prob of sequence yv.\n' | b'1/22\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jfjtoojj. Give prob of sequence fto.\n' | b'1/168\n' | b'Three letters picked without replacement from jfjtoojj. Give prob of sequence fto.\n' | b'1/168\n' | deepmind/math_dataset |
b'Simplify ((r/(r**(4/5)*r)*r)**(-8))**(-18) assuming r is positive.\n' | b'r**(144/5)\n' | b'Simplify ((r/(r**(4/5)*r)*r)**(-8))**(-18) assuming r is positive.\n' | b'r**(144/5)\n' | deepmind/math_dataset |
b'Let k(i) = i + 9. Let r be k(-6). Let z be 14 - 0 - 2 - r. Solve 2*m = -x + z, -x - 3*m = -2*x - 11 for x.\n' | b'1\n' | b'Let k(i) = i + 9. Let r be k(-6). Let z be 14 - 0 - 2 - r. Solve 2*m = -x + z, -x - 3*m = -2*x - 11 for x.\n' | b'1\n' | deepmind/math_dataset |
b'Let o(g) = -24*g**2 - 7*g + 15. Let l be o(-3). Let q = l + 184. Solve 3*z + 2*z = -5*w - 15, 0 = q*z + 2*w + 6 for z.\n' | b'0\n' | b'Let o(g) = -24*g**2 - 7*g + 15. Let l be o(-3). Let q = l + 184. Solve 3*z + 2*z = -5*w - 15, 0 = q*z + 2*w + 6 for z.\n' | b'0\n' | deepmind/math_dataset |
b'Let q(l) = l**2 - 8*l + 7. Let t be q(5). Let g = 12 + t. Suppose 7*r - 48 = 22. Solve -k - 4*z + r = 0, 0 = 5*k - 2*z + 4*z + g for k.\n' | b'-2\n' | b'Let q(l) = l**2 - 8*l + 7. Let t be q(5). Let g = 12 + t. Suppose 7*r - 48 = 22. Solve -k - 4*z + r = 0, 0 = 5*k - 2*z + 4*z + g for k.\n' | b'-2\n' | deepmind/math_dataset |
b'Find the first derivative of -3 + 354*h**2 - 6*h**3 - 16*h**3 - 354*h**2 wrt h.\n' | b'-66*h**2\n' | b'Find the first derivative of -3 + 354*h**2 - 6*h**3 - 16*h**3 - 354*h**2 wrt h.\n' | b'-66*h**2\n' | deepmind/math_dataset |
b'Suppose 0 = 2*k - 4*j - 12 - 8, 2*j + 6 = -k. Solve 3*t + k*m = -0*t - 15, 2*t + 10 = 5*m for t.\n' | b'-5\n' | b'Suppose 0 = 2*k - 4*j - 12 - 8, 2*j + 6 = -k. Solve 3*t + k*m = -0*t - 15, 2*t + 10 = 5*m for t.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (((s*s**(-1/4))/s)/s**1*(s*s/((s/(s*s**0))/s))**(-14/5))/((s**2*(s/((s*s**(-2/5))/s*s))/s)/(s**(2/13)*s**(-2/11)/s)) assuming s is positive.\n' | b's**(-34543/2860)\n' | b'Simplify (((s*s**(-1/4))/s)/s**1*(s*s/((s/(s*s**0))/s))**(-14/5))/((s**2*(s/((s*s**(-2/5))/s*s))/s)/(s**(2/13)*s**(-2/11)/s)) assuming s is positive.\n' | b's**(-34543/2860)\n' | deepmind/math_dataset |
b'Suppose 5*q + 0*q - 20 = 0. Suppose q*n - 7 = 1. Suppose b = n*b. Solve 5*h + 4*p + 25 = b, p + 15 = -3*h + 2*p for h.\n' | b'-5\n' | b'Suppose 5*q + 0*q - 20 = 0. Suppose q*n - 7 = 1. Suppose b = n*b. Solve 5*h + 4*p + 25 = b, p + 15 = -3*h + 2*p for h.\n' | b'-5\n' | deepmind/math_dataset |
b'Let n(k) = 13*k + 8. Let r(u) = -13*u - 8. Let d(p) = -2*n(p) - 3*r(p). What is the derivative of d(m) wrt m?\n' | b'13\n' | b'Let n(k) = 13*k + 8. Let r(u) = -13*u - 8. Let d(p) = -2*n(p) - 3*r(p). What is the derivative of d(m) wrt m?\n' | b'13\n' | deepmind/math_dataset |
b'Simplify (b/((b/(b*b**1))/b)*b**(-11)*b*(b*(b/b**(-2/11))/b)**(1/28))**(-3/4) assuming b is positive.\n' | b'b**(6429/1232)\n' | b'Simplify (b/((b/(b*b**1))/b)*b**(-11)*b*(b*(b/b**(-2/11))/b)**(1/28))**(-3/4) assuming b is positive.\n' | b'b**(6429/1232)\n' | deepmind/math_dataset |
b'Let k(v) = 9*v**2 - 68*v - 25. Let g(i) = 5*i**2 - 38*i - 13. Let r(q) = -7*g(q) + 4*k(q). What is r(4)?\n' | b'-17\n' | b'Let k(v) = 9*v**2 - 68*v - 25. Let g(i) = 5*i**2 - 38*i - 13. Let r(q) = -7*g(q) + 4*k(q). What is r(4)?\n' | b'-17\n' | deepmind/math_dataset |
b'Two letters picked without replacement from npfypin. What is prob of picking 1 y and 1 f?\n' | b'1/21\n' | b'Two letters picked without replacement from npfypin. What is prob of picking 1 y and 1 f?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let r(g) = 23*g**3 - 12*g**2 + 35*g + 11. Let n(c) = 46*c**3 - 26*c**2 + 72*c + 23. Let q(t) = 6*n(t) - 13*r(t). What is the second derivative of q(i) wrt i?\n' | b'-138*i\n' | b'Let r(g) = 23*g**3 - 12*g**2 + 35*g + 11. Let n(c) = 46*c**3 - 26*c**2 + 72*c + 23. Let q(t) = 6*n(t) - 13*r(t). What is the second derivative of q(i) wrt i?\n' | b'-138*i\n' | deepmind/math_dataset |
b'Suppose 0 = -44*q + 52*q - 24. Let p(l) be the second derivative of l**3/6 - l. Calculate p(q).\n' | b'3\n' | b'Suppose 0 = -44*q + 52*q - 24. Let p(l) be the second derivative of l**3/6 - l. Calculate p(q).\n' | b'3\n' | deepmind/math_dataset |
b'Let b be (-160)/(-8)*5/20. Let h(d) be the first derivative of b + 1/4*d**4 - 5/3*d**3 + 0*d**2 - 6*d. Calculate h(5).\n' | b'-6\n' | b'Let b be (-160)/(-8)*5/20. Let h(d) be the first derivative of b + 1/4*d**4 - 5/3*d**3 + 0*d**2 - 6*d. Calculate h(5).\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose -17 - 3 = -4*l. Suppose 0*t - 4*j = -3*t + 91, -t = 5*j - l. Suppose -10*i + 15*i = t. Let k(x) = -x + 9. Determine k(i).\n' | b'4\n' | b'Suppose -17 - 3 = -4*l. Suppose 0*t - 4*j = -3*t + 91, -t = 5*j - l. Suppose -10*i + 15*i = t. Let k(x) = -x + 9. Determine k(i).\n' | b'4\n' | deepmind/math_dataset |
b'Let x(u) = u**3 - 2*u**2 - 3*u + 2. Let i be x(3). Suppose -3*s = 5*a, -s = 4*a - i*s. Solve a = 4*d + o + 11, -d = -4*o + 24 for d.\n' | b'-4\n' | b'Let x(u) = u**3 - 2*u**2 - 3*u + 2. Let i be x(3). Suppose -3*s = 5*a, -s = 4*a - i*s. Solve a = 4*d + o + 11, -d = -4*o + 24 for d.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -102 = -7*j + 31. Let x = -37 + j. Let m = -14 - x. Solve -m*h = -2*n + 10, -2*h - 2*h - 19 = -5*n for n.\n' | b'3\n' | b'Suppose -102 = -7*j + 31. Let x = -37 + j. Let m = -14 - x. Solve -m*h = -2*n + 10, -2*h - 2*h - 19 = -5*n for n.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (b/(b**(1/3)/b)*b/(b/b**10))**(35/4) assuming b is positive.\n' | b'b**(1225/12)\n' | b'Simplify (b/(b**(1/3)/b)*b/(b/b**10))**(35/4) assuming b is positive.\n' | b'b**(1225/12)\n' | deepmind/math_dataset |
b'Let r be (-3)/(-9)*-30*(-4 + 3). Suppose 0 = -r*c + 9*c - 1. Let m(x) be the second derivative of -x**4/12 + x. What is m(c)?\n' | b'-1\n' | b'Let r be (-3)/(-9)*-30*(-4 + 3). Suppose 0 = -r*c + 9*c - 1. Let m(x) be the second derivative of -x**4/12 + x. What is m(c)?\n' | b'-1\n' | deepmind/math_dataset |
b'Let u(f) = 0*f + f - 4*f + 2*f. Let n be u(-13). Let q(s) = n - 3*s + 0*s - 5 + 4*s. Determine q(0).\n' | b'8\n' | b'Let u(f) = 0*f + f - 4*f + 2*f. Let n be u(-13). Let q(s) = n - 3*s + 0*s - 5 + 4*s. Determine q(0).\n' | b'8\n' | deepmind/math_dataset |
b'Three letters picked without replacement from aava. Give prob of picking 3 a.\n' | b'1/4\n' | b'Three letters picked without replacement from aava. Give prob of picking 3 a.\n' | b'1/4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 2, j: 1, i: 5, k: 3, c: 1}. Give prob of picking 1 k, 1 i, and 1 c.\n' | b'3/44\n' | b'Three letters picked without replacement from {p: 2, j: 1, i: 5, k: 3, c: 1}. Give prob of picking 1 k, 1 i, and 1 c.\n' | b'3/44\n' | deepmind/math_dataset |
b'Simplify ((t**(-12)*t)/(t*t*t**(-5/6)))/((t*t**(-2/17)*t*t)/t*t/t**(-1/12)) assuming t is positive.\n' | b't**(-1029/68)\n' | b'Simplify ((t**(-12)*t)/(t*t*t**(-5/6)))/((t*t**(-2/17)*t*t)/t*t/t**(-1/12)) assuming t is positive.\n' | b't**(-1029/68)\n' | deepmind/math_dataset |
b'Calculate prob of sequence pc when two letters picked without replacement from {p: 4, c: 6, j: 6, l: 3}.\n' | b'4/57\n' | b'Calculate prob of sequence pc when two letters picked without replacement from {p: 4, c: 6, j: 6, l: 3}.\n' | b'4/57\n' | deepmind/math_dataset |
b'Three letters picked without replacement from lbrbbxlxrbrb. What is prob of picking 1 l and 2 b?\n' | b'1/11\n' | b'Three letters picked without replacement from lbrbbxlxrbrb. What is prob of picking 1 l and 2 b?\n' | b'1/11\n' | deepmind/math_dataset |
b'Let n be ((-1)/(-1))/(2/6). Let r(s) = 4*s - 10. Let a(j) = 11*j - 29. Let m(f) = n*a(f) - 8*r(f). Suppose 4*p = 16 - 4. Give m(p).\n' | b'-4\n' | b'Let n be ((-1)/(-1))/(2/6). Let r(s) = 4*s - 10. Let a(j) = 11*j - 29. Let m(f) = n*a(f) - 8*r(f). Suppose 4*p = 16 - 4. Give m(p).\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify z**(3/10)*z**(-26) assuming z is positive.\n' | b'z**(-257/10)\n' | b'Simplify z**(3/10)*z**(-26) assuming z is positive.\n' | b'z**(-257/10)\n' | deepmind/math_dataset |
b'Simplify ((((((y*(y**(2/5)/y)/y)/y)/y)/y*y)**(-8/15)*(y*y**1/y)**(-2/97))**30)**(-14) assuming y is positive.\n' | b'y**(-278264/485)\n' | b'Simplify ((((((y*(y**(2/5)/y)/y)/y)/y)/y*y)**(-8/15)*(y*y**1/y)**(-2/97))**30)**(-14) assuming y is positive.\n' | b'y**(-278264/485)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 1, w: 1, z: 1, c: 1, g: 1}. What is prob of sequence gs?\n' | b'1/20\n' | b'Two letters picked without replacement from {s: 1, w: 1, z: 1, c: 1, g: 1}. What is prob of sequence gs?\n' | b'1/20\n' | deepmind/math_dataset |
b'What is prob of sequence zyys when four letters picked without replacement from {s: 1, z: 2, y: 2}?\n' | b'1/30\n' | b'What is prob of sequence zyys when four letters picked without replacement from {s: 1, z: 2, y: 2}?\n' | b'1/30\n' | deepmind/math_dataset |
b'Let v(k) be the third derivative of 0*k + 62*k**2 + 1/60*k**5 + k**3 - 7/24*k**4 + 0. Give v(6).\n' | b'0\n' | b'Let v(k) be the third derivative of 0*k + 62*k**2 + 1/60*k**5 + k**3 - 7/24*k**4 + 0. Give v(6).\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((h**(3/8))**(1/12)*(h/(h*h**(2/7))*h)**(-5/3))**25 assuming h is positive.\n' | b'h**(-19475/672)\n' | b'Simplify ((h**(3/8))**(1/12)*(h/(h*h**(2/7))*h)**(-5/3))**25 assuming h is positive.\n' | b'h**(-19475/672)\n' | deepmind/math_dataset |
b'Simplify (j/((j*j**8/j)/j*j*j))**43 assuming j is positive.\n' | b'j**(-344)\n' | b'Simplify (j/((j*j**8/j)/j*j*j))**43 assuming j is positive.\n' | b'j**(-344)\n' | deepmind/math_dataset |
b'Simplify (v*v/(v/v**3)*v)/v*v/((v*v**(2/13))/v)*((v/(v*v*v*v/v**(1/3)*v))/v*v)/v**(2/5) assuming v is positive.\n' | b'v**(152/195)\n' | b'Simplify (v*v/(v/v**3)*v)/v*v/((v*v**(2/13))/v)*((v/(v*v*v*v/v**(1/3)*v))/v*v)/v**(2/5) assuming v is positive.\n' | b'v**(152/195)\n' | deepmind/math_dataset |
b'Let m(y) = 2*y**2 + 2. Let z(j) = -7*j**2 + 10*j - 2. Let u(l) = 5*m(l) + z(l). Determine u(-6).\n' | b'56\n' | b'Let m(y) = 2*y**2 + 2. Let z(j) = -7*j**2 + 10*j - 2. Let u(l) = 5*m(l) + z(l). Determine u(-6).\n' | b'56\n' | deepmind/math_dataset |
b'What is the second derivative of 4598 + 2710*g - 191*g - 4598 - 369*g**2 + 3810*g wrt g?\n' | b'-738\n' | b'What is the second derivative of 4598 + 2710*g - 191*g - 4598 - 369*g**2 + 3810*g wrt g?\n' | b'-738\n' | deepmind/math_dataset |
b'What is prob of picking 1 o and 1 u when two letters picked without replacement from uuoou?\n' | b'3/5\n' | b'What is prob of picking 1 o and 1 u when two letters picked without replacement from uuoou?\n' | b'3/5\n' | deepmind/math_dataset |
b'Let o be 0*((-9)/(-6))/(-3). Let f be (1 + (-9)/6)*o. Solve -p - 3 = -0*p + 2*z, f = -3*p + 2*z - 17 for p.\n' | b'-5\n' | b'Let o be 0*((-9)/(-6))/(-3). Let f be (1 + (-9)/6)*o. Solve -p - 3 = -0*p + 2*z, f = -3*p + 2*z - 17 for p.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose o - 3 - 5 = 0. Suppose u = 3*c - o, 0*u + 4*u = 5*c - 4. Suppose 2*n - c = -2*n. Let w(j) = 7*j**3 + 2*j**2 - 2*j + 1. What is w(n)?\n' | b'8\n' | b'Suppose o - 3 - 5 = 0. Suppose u = 3*c - o, 0*u + 4*u = 5*c - 4. Suppose 2*n - c = -2*n. Let w(j) = 7*j**3 + 2*j**2 - 2*j + 1. What is w(n)?\n' | b'8\n' | deepmind/math_dataset |
b'Suppose 0*n + 4*n = -4*b, -3*b + 2*n = -20. Let d(w) = 4*w + 0 - 1 + 4*w + b. What is d(-2)?\n' | b'-13\n' | b'Suppose 0*n + 4*n = -4*b, -3*b + 2*n = -20. Let d(w) = 4*w + 0 - 1 + 4*w + b. What is d(-2)?\n' | b'-13\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ooootototto. Give prob of sequence ooo.\n' | b'7/33\n' | b'Three letters picked without replacement from ooootototto. Give prob of sequence ooo.\n' | b'7/33\n' | deepmind/math_dataset |
b'Let t(p) = p**2 + 2*p - 31. Let b be t(-7). Suppose -d = -3*d + 62. Let q(s) = -d - 3*s + 4*s + 28. Calculate q(b).\n' | b'1\n' | b'Let t(p) = p**2 + 2*p - 31. Let b be t(-7). Suppose -d = -3*d + 62. Let q(s) = -d - 3*s + 4*s + 28. Calculate q(b).\n' | b'1\n' | deepmind/math_dataset |
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