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'Let q(t) = -373*t**3 - 120*t**2 - 4*t - 4. Let l(r) = 1119*r**3 + 360*r**2 + 11*r + 11. Let j(v) = -4*l(v) - 11*q(v). Find the third derivative of j(k) wrt k.\n' | b'-2238\n' | b'Let q(t) = -373*t**3 - 120*t**2 - 4*t - 4. Let l(r) = 1119*r**3 + 360*r**2 + 11*r + 11. Let j(v) = -4*l(v) - 11*q(v). Find the third derivative of j(k) wrt k.\n' | b'-2238\n' | deepmind/math_dataset |
b'What is prob of picking 1 b, 1 u, and 2 s when four letters picked without replacement from {s: 2, b: 1, u: 1, o: 1}?\n' | b'1/5\n' | b'What is prob of picking 1 b, 1 u, and 2 s when four letters picked without replacement from {s: 2, b: 1, u: 1, o: 1}?\n' | b'1/5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {j: 3, b: 4, n: 1, q: 4, c: 3, y: 5}. What is prob of picking 2 q and 1 y?\n' | b'1/38\n' | b'Three letters picked without replacement from {j: 3, b: 4, n: 1, q: 4, c: 3, y: 5}. What is prob of picking 2 q and 1 y?\n' | b'1/38\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {t: 1, x: 2, i: 7}. What is prob of sequence iixi?\n' | b'1/12\n' | b'Four letters picked without replacement from {t: 1, x: 2, i: 7}. What is prob of sequence iixi?\n' | b'1/12\n' | deepmind/math_dataset |
b'Four letters picked without replacement from kkkikkkkkkkk. What is prob of picking 4 k?\n' | b'2/3\n' | b'Four letters picked without replacement from kkkikkkkkkkk. What is prob of picking 4 k?\n' | b'2/3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 7, t: 2, s: 6}. Give prob of picking 2 s and 1 e.\n' | b'3/13\n' | b'Three letters picked without replacement from {e: 7, t: 2, s: 6}. Give prob of picking 2 s and 1 e.\n' | b'3/13\n' | deepmind/math_dataset |
b'Suppose 5*t - d = -3*d - 5, 3 = -3*t - 2*d. Let q(c) = 8*c**2 + c + 1. Calculate q(t).\n' | b'8\n' | b'Suppose 5*t - d = -3*d - 5, 3 = -3*t - 2*d. Let q(c) = 8*c**2 + c + 1. Calculate q(t).\n' | b'8\n' | deepmind/math_dataset |
b'Four letters picked without replacement from mccmmcllglcmllcmmclc. Give prob of sequence lllm.\n' | b'2/323\n' | b'Four letters picked without replacement from mccmmcllglcmllcmmclc. Give prob of sequence lllm.\n' | b'2/323\n' | deepmind/math_dataset |
b'Suppose 0 = -141*s + 125*s + 272. Suppose -4*x + m = -10, -5*x - s*m = -14*m - 4. Solve x*n - 9 = -i, 2*n - 4 = -4*i + 8 for i.\n' | b'1\n' | b'Suppose 0 = -141*s + 125*s + 272. Suppose -4*x + m = -10, -5*x - s*m = -14*m - 4. Solve x*n - 9 = -i, 2*n - 4 = -4*i + 8 for i.\n' | b'1\n' | deepmind/math_dataset |
b'Find the third derivative of 2715*k**2 + 2313*k**3 - 972*k**3 - 1203*k**3 - 1890*k**3 - 1 + k**5 + 2*k**4 wrt k.\n' | b'60*k**2 + 48*k - 10512\n' | b'Find the third derivative of 2715*k**2 + 2313*k**3 - 972*k**3 - 1203*k**3 - 1890*k**3 - 1 + k**5 + 2*k**4 wrt k.\n' | b'60*k**2 + 48*k - 10512\n' | deepmind/math_dataset |
b'What is the derivative of -10741*t**2 - 3918 - 5537 - 4519 wrt t?\n' | b'-21482*t\n' | b'What is the derivative of -10741*t**2 - 3918 - 5537 - 4519 wrt t?\n' | b'-21482*t\n' | deepmind/math_dataset |
b'Two letters picked without replacement from usuususuuusuuu. What is prob of sequence uu?\n' | b'45/91\n' | b'Two letters picked without replacement from usuususuuusuuu. What is prob of sequence uu?\n' | b'45/91\n' | deepmind/math_dataset |
b'Simplify (x**(-3/4)*x)**(-27)/(x*(x**(1/5)*x)/x*x*x)**(-38) assuming x is positive.\n' | b'x**(2297/20)\n' | b'Simplify (x**(-3/4)*x)**(-27)/(x*(x**(1/5)*x)/x*x*x)**(-38) assuming x is positive.\n' | b'x**(2297/20)\n' | deepmind/math_dataset |
b'Suppose 0 = v + 4*p - 1, 2*v - 3*p - p - 14 = 0. Solve -g + 4 = 3*l, 2*l - v*l = 3*g for l.\n' | b'2\n' | b'Suppose 0 = v + 4*p - 1, 2*v - 3*p - p - 14 = 0. Solve -g + 4 = 3*l, 2*l - v*l = 3*g for l.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 3 l when three letters picked without replacement from {l: 3, p: 3}?\n' | b'1/20\n' | b'What is prob of picking 3 l when three letters picked without replacement from {l: 3, p: 3}?\n' | b'1/20\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 y and 2 a when three letters picked without replacement from {d: 4, a: 2, y: 4, z: 6, j: 1}.\n' | b'1/170\n' | b'Calculate prob of picking 1 y and 2 a when three letters picked without replacement from {d: 4, a: 2, y: 4, z: 6, j: 1}.\n' | b'1/170\n' | deepmind/math_dataset |
b'Let y(r) = -4 + 1 + 405*r - 406*r. Calculate y(-3).\n' | b'0\n' | b'Let y(r) = -4 + 1 + 405*r - 406*r. Calculate y(-3).\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -39 = -62*p + 49*p. Solve 2*w - 3*w - j = 3, 5*w + p*j = -17 for w.\n' | b'-4\n' | b'Suppose -39 = -62*p + 49*p. Solve 2*w - 3*w - j = 3, 5*w + p*j = -17 for w.\n' | b'-4\n' | deepmind/math_dataset |
b'Let p(y) = -y**3 - 2*y + 7 + 11*y**2 - 6*y**2 + 0*y**3. Let q = 9 + -4. Suppose h = 3*c - 4 - 0, 35 = 4*h + q*c. Determine p(h).\n' | b'-3\n' | b'Let p(y) = -y**3 - 2*y + 7 + 11*y**2 - 6*y**2 + 0*y**3. Let q = 9 + -4. Suppose h = 3*c - 4 - 0, 35 = 4*h + q*c. Determine p(h).\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 1, f: 14, v: 2}. What is prob of sequence fv?\n' | b'7/68\n' | b'Two letters picked without replacement from {l: 1, f: 14, v: 2}. What is prob of sequence fv?\n' | b'7/68\n' | deepmind/math_dataset |
b'Simplify (c/(c*c**(-3/5))*c**(2/5))**(-2/7)*c**(-3)*(c/((c**(-3)*c)/c)*c)/c*(c**(-1/3))**(-1/38) assuming c is positive.\n' | b'c**(577/798)\n' | b'Simplify (c/(c*c**(-3/5))*c**(2/5))**(-2/7)*c**(-3)*(c/((c**(-3)*c)/c)*c)/c*(c**(-1/3))**(-1/38) assuming c is positive.\n' | b'c**(577/798)\n' | deepmind/math_dataset |
b'Let k(o) = -2*o**3 - 2*o**2 - 31*o + 54. Let h(i) = i**2 - 1. Let x(y) = 2*h(y) + k(y). Differentiate x(f) with respect to f.\n' | b'-6*f**2 - 31\n' | b'Let k(o) = -2*o**3 - 2*o**2 - 31*o + 54. Let h(i) = i**2 - 1. Let x(y) = 2*h(y) + k(y). Differentiate x(f) with respect to f.\n' | b'-6*f**2 - 31\n' | deepmind/math_dataset |
b'Two letters picked without replacement from aaaaaaaaaaaaaaaaaara. Give prob of sequence ra.\n' | b'1/20\n' | b'Two letters picked without replacement from aaaaaaaaaaaaaaaaaara. Give prob of sequence ra.\n' | b'1/20\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {x: 9, i: 2, v: 2, r: 1, f: 4, l: 2}. What is prob of picking 1 x, 1 r, and 2 v?\n' | b'3/1615\n' | b'Four letters picked without replacement from {x: 9, i: 2, v: 2, r: 1, f: 4, l: 2}. What is prob of picking 1 x, 1 r, and 2 v?\n' | b'3/1615\n' | deepmind/math_dataset |
b'What is prob of sequence tfft when four letters picked without replacement from fiyyfty?\n' | b'0\n' | b'What is prob of sequence tfft when four letters picked without replacement from fiyyfty?\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (y**(-1/3)*y**(-29/4)/y)**(-34) assuming y is positive.\n' | b'y**(1751/6)\n' | b'Simplify (y**(-1/3)*y**(-29/4)/y)**(-34) assuming y is positive.\n' | b'y**(1751/6)\n' | deepmind/math_dataset |
b'Let t(q) = -9*q - 25. Let u be t(-4). Solve 0*n - 3*o = 4*n - 11, u = 3*n + 5*o for n.\n' | b'2\n' | b'Let t(q) = -9*q - 25. Let u be t(-4). Solve 0*n - 3*o = 4*n - 11, u = 3*n + 5*o for n.\n' | b'2\n' | deepmind/math_dataset |
b'Let i(s) = -8*s**2 + s + 5 + 0*s**3 - 1 + 2 - s**3. What is i(-8)?\n' | b'-2\n' | b'Let i(s) = -8*s**2 + s + 5 + 0*s**3 - 1 + 2 - s**3. What is i(-8)?\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 1 i and 1 m when two letters picked without replacement from daimtlt?\n' | b'1/21\n' | b'What is prob of picking 1 i and 1 m when two letters picked without replacement from daimtlt?\n' | b'1/21\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m and 3 t when four letters picked without replacement from {m: 14, t: 4}.\n' | b'14/765\n' | b'Calculate prob of picking 1 m and 3 t when four letters picked without replacement from {m: 14, t: 4}.\n' | b'14/765\n' | deepmind/math_dataset |
b'Let m(w) = 14*w**4 + 30*w + 11. Let g(k) = 3*k**4 + 6*k + 2. Let z(c) = -11*g(c) + 2*m(c). What is the second derivative of z(b) wrt b?\n' | b'-60*b**2\n' | b'Let m(w) = 14*w**4 + 30*w + 11. Let g(k) = 3*k**4 + 6*k + 2. Let z(c) = -11*g(c) + 2*m(c). What is the second derivative of z(b) wrt b?\n' | b'-60*b**2\n' | deepmind/math_dataset |
b'Let n(g) = g + 3. Let r be n(6). Let p be -3 + (0 - r/3). Let m = p - -8. Solve y - m*s = -0*s - 12, 4 = s for y.\n' | b'-4\n' | b'Let n(g) = g + 3. Let r be n(6). Let p be -3 + (0 - r/3). Let m = p - -8. Solve y - m*s = -0*s - 12, 4 = s for y.\n' | b'-4\n' | deepmind/math_dataset |
b'Let r(c) = -4*c**3 + 137*c - 5. Let t = 740 - 745. Let o(i) = -3*i**3 + 137*i - 4. Let g(w) = t*o(w) + 4*r(w). Find the second derivative of g(j) wrt j.\n' | b'-6*j\n' | b'Let r(c) = -4*c**3 + 137*c - 5. Let t = 740 - 745. Let o(i) = -3*i**3 + 137*i - 4. Let g(w) = t*o(w) + 4*r(w). Find the second derivative of g(j) wrt j.\n' | b'-6*j\n' | deepmind/math_dataset |
b'Simplify (w*w/(w*w**3)*w*(w**(-2)/w)/w)/(w**(1/4)/w)**(-21) assuming w is positive.\n' | b'w**(-83/4)\n' | b'Simplify (w*w/(w*w**3)*w*(w**(-2)/w)/w)/(w**(1/4)/w)**(-21) assuming w is positive.\n' | b'w**(-83/4)\n' | deepmind/math_dataset |
b'Let g(x) = 29 + 172 + 21*x + 10*x**2 + 91 + 3. Let i(f) = 6*f**2 + 11*f + 147. Let b(k) = 2*g(k) - 5*i(k). Differentiate b(m) wrt m.\n' | b'-20*m - 13\n' | b'Let g(x) = 29 + 172 + 21*x + 10*x**2 + 91 + 3. Let i(f) = 6*f**2 + 11*f + 147. Let b(k) = 2*g(k) - 5*i(k). Differentiate b(m) wrt m.\n' | b'-20*m - 13\n' | deepmind/math_dataset |
b'Suppose 5*d - 2*l = 72, 4*l - 9 - 7 = 0. What is the first derivative of 4 - 16*h + 3*h**4 + d*h + 2 wrt h?\n' | b'12*h**3\n' | b'Suppose 5*d - 2*l = 72, 4*l - 9 - 7 = 0. What is the first derivative of 4 - 16*h + 3*h**4 + d*h + 2 wrt h?\n' | b'12*h**3\n' | deepmind/math_dataset |
b'Let z(y) be the third derivative of y**5/60 + y**4/8 - 5*y**3/6 - 5*y**2. Let c be z(2). Solve 4*n - 3*n = 4*v - c, -v = -2*n - 10 for v.\n' | b'0\n' | b'Let z(y) be the third derivative of y**5/60 + y**4/8 - 5*y**3/6 - 5*y**2. Let c be z(2). Solve 4*n - 3*n = 4*v - c, -v = -2*n - 10 for v.\n' | b'0\n' | deepmind/math_dataset |
b'Let f(d) = -d**3 - 2*d**2 + d - 2. Let v be f(-3). What is the second derivative of -v*h + h + h - 3*h**2 wrt h?\n' | b'-6\n' | b'Let f(d) = -d**3 - 2*d**2 + d - 2. Let v be f(-3). What is the second derivative of -v*h + h + h - 3*h**2 wrt h?\n' | b'-6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {n: 4, t: 3, m: 2, g: 2}. What is prob of picking 2 t, 1 m, and 1 n?\n' | b'4/55\n' | b'Four letters picked without replacement from {n: 4, t: 3, m: 2, g: 2}. What is prob of picking 2 t, 1 m, and 1 n?\n' | b'4/55\n' | deepmind/math_dataset |
b'Four letters picked without replacement from eyvhuvjj. What is prob of sequence ejjy?\n' | b'1/840\n' | b'Four letters picked without replacement from eyvhuvjj. What is prob of sequence ejjy?\n' | b'1/840\n' | deepmind/math_dataset |
b'Let x(v) = v**2 + 4*v - 6. Let a be -1 + -3*16/(-3). Suppose -4*z + a = z. Suppose 0 = -i - z - 2. Calculate x(i).\n' | b'-1\n' | b'Let x(v) = v**2 + 4*v - 6. Let a be -1 + -3*16/(-3). Suppose -4*z + a = z. Suppose 0 = -i - z - 2. Calculate x(i).\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of picking 1 d, 1 z, and 1 r when three letters picked without replacement from {f: 1, z: 3, i: 1, r: 1, d: 1}?\n' | b'3/35\n' | b'What is prob of picking 1 d, 1 z, and 1 r when three letters picked without replacement from {f: 1, z: 3, i: 1, r: 1, d: 1}?\n' | b'3/35\n' | deepmind/math_dataset |
b'Let b(x) = x**2 - 10*x + 11. Let l be b(8). Let a(r) = -r**2 - 4*r + 9. Let j be a(l). Solve -3*y = -j*z - 6 - 17, -11 = -3*y - 2*z for y.\n' | b'5\n' | b'Let b(x) = x**2 - 10*x + 11. Let l be b(8). Let a(r) = -r**2 - 4*r + 9. Let j be a(l). Solve -3*y = -j*z - 6 - 17, -11 = -3*y - 2*z for y.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 0*g = -4*g - 4*p + 16, 3*g = 4*p - 2. Suppose -g = -3*o + 13. What is the second derivative of 0*q - q - q + q**o wrt q?\n' | b'20*q**3\n' | b'Suppose 0*g = -4*g - 4*p + 16, 3*g = 4*p - 2. Suppose -g = -3*o + 13. What is the second derivative of 0*q - q - q + q**o wrt q?\n' | b'20*q**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 9, a: 11}. Give prob of picking 4 a.\n' | b'22/323\n' | b'Four letters picked without replacement from {g: 9, a: 11}. Give prob of picking 4 a.\n' | b'22/323\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 e and 1 w when two letters picked without replacement from {u: 1, w: 2, f: 10, e: 1}.\n' | b'2/91\n' | b'Calculate prob of picking 1 e and 1 w when two letters picked without replacement from {u: 1, w: 2, f: 10, e: 1}.\n' | b'2/91\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 e, 2 q, and 1 t when four letters picked without replacement from emettqemeimmeqqmm.\n' | b'3/238\n' | b'Calculate prob of picking 1 e, 2 q, and 1 t when four letters picked without replacement from emettqemeimmeqqmm.\n' | b'3/238\n' | deepmind/math_dataset |
b'Let h(p) be the second derivative of -p**6/40 + 5*p**4/24 + p**2 - 2*p. Let b(m) be the first derivative of h(m). Find the second derivative of b(o) wrt o.\n' | b'-18*o\n' | b'Let h(p) be the second derivative of -p**6/40 + 5*p**4/24 + p**2 - 2*p. Let b(m) be the first derivative of h(m). Find the second derivative of b(o) wrt o.\n' | b'-18*o\n' | deepmind/math_dataset |
b'Suppose 0 = -5*b + 3 + 12. Suppose -b*f + 7 = y, -y - 4*y - 5*f + 35 = 0. Find the third derivative of -11*v**6 - y*v**2 - v**2 + 7*v**2 + 9*v**2 wrt v.\n' | b'-1320*v**3\n' | b'Suppose 0 = -5*b + 3 + 12. Suppose -b*f + 7 = y, -y - 4*y - 5*f + 35 = 0. Find the third derivative of -11*v**6 - y*v**2 - v**2 + 7*v**2 + 9*v**2 wrt v.\n' | b'-1320*v**3\n' | deepmind/math_dataset |
b'Let g(y) be the second derivative of 25*y + 37/20*y**5 + 15*y**2 + 0 + 0*y**3 + 0*y**4. What is the derivative of g(u) wrt u?\n' | b'111*u**2\n' | b'Let g(y) be the second derivative of 25*y + 37/20*y**5 + 15*y**2 + 0 + 0*y**3 + 0*y**4. What is the derivative of g(u) wrt u?\n' | b'111*u**2\n' | deepmind/math_dataset |
b'What is prob of picking 1 h, 1 u, and 1 e when three letters picked without replacement from ehhesou?\n' | b'4/35\n' | b'What is prob of picking 1 h, 1 u, and 1 e when three letters picked without replacement from ehhesou?\n' | b'4/35\n' | deepmind/math_dataset |
b'Let y(i) = -2*i**2 + 7*i + 4. Suppose o - 8 = -n - o, -14 = -2*n - 2*o. Let v be y(n). Let w = -24 - v. Solve 0 = c + 4*z - 2, w*c - c = -2*z for c.\n' | b'-2\n' | b'Let y(i) = -2*i**2 + 7*i + 4. Suppose o - 8 = -n - o, -14 = -2*n - 2*o. Let v be y(n). Let w = -24 - v. Solve 0 = c + 4*z - 2, w*c - c = -2*z for c.\n' | b'-2\n' | deepmind/math_dataset |
b'Find the third derivative of -689 - 691 - 8403*v**4 + 2070 - 1067*v**4 + 6353*v**2 - 691 wrt v.\n' | b'-227280*v\n' | b'Find the third derivative of -689 - 691 - 8403*v**4 + 2070 - 1067*v**4 + 6353*v**2 - 691 wrt v.\n' | b'-227280*v\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 8, w: 1, v: 11}. Give prob of sequence wwy.\n' | b'0\n' | b'Three letters picked without replacement from {y: 8, w: 1, v: 11}. Give prob of sequence wwy.\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from zrxuv. Give prob of picking 1 v, 1 r, 1 z, and 1 u.\n' | b'1/5\n' | b'Four letters picked without replacement from zrxuv. Give prob of picking 1 v, 1 r, 1 z, and 1 u.\n' | b'1/5\n' | deepmind/math_dataset |
b'Simplify ((s/s**(-3/14))/s**7*(((s**(2/45)*s)/s)/s)/s**(-5))**(-1) assuming s is positive.\n' | b's**(1097/630)\n' | b'Simplify ((s/s**(-3/14))/s**7*(((s**(2/45)*s)/s)/s)/s**(-5))**(-1) assuming s is positive.\n' | b's**(1097/630)\n' | deepmind/math_dataset |
b'Let x = 11095 + -11092. Solve 0 = -3*m + 41*n - 43*n - 16, -2*m + x*n + 11 = 0 for m.\n' | b'-2\n' | b'Let x = 11095 + -11092. Solve 0 = -3*m + 41*n - 43*n - 16, -2*m + x*n + 11 = 0 for m.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((x**14/x)/x**(1/8))/(x**(-5/4))**(44/7) assuming x is positive.\n' | b'x**(1161/56)\n' | b'Simplify ((x**14/x)/x**(1/8))/(x**(-5/4))**(44/7) assuming x is positive.\n' | b'x**(1161/56)\n' | deepmind/math_dataset |
b'Let z = 309 - 239. Let f be 10/(-12) + z/84. Solve 2*l - 5*b - 7 + 29 = f, 3*l + 4*b = 13 for l.\n' | b'-1\n' | b'Let z = 309 - 239. Let f be 10/(-12) + z/84. Solve 2*l - 5*b - 7 + 29 = f, 3*l + 4*b = 13 for l.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (p**(-1/3))**42*p**0*(p**6/p)/p*p**3/p**(-2/7)*p*(p*p*p*p*p**(-3)*p)/p*p**(-2)*p assuming p is positive.\n' | b'p**(-40/7)\n' | b'Simplify (p**(-1/3))**42*p**0*(p**6/p)/p*p**3/p**(-2/7)*p*(p*p*p*p*p**(-3)*p)/p*p**(-2)*p assuming p is positive.\n' | b'p**(-40/7)\n' | deepmind/math_dataset |
b'Simplify (((b/(b/b**(2/11)))**(-5/4))**(-2/43))**(1/29) assuming b is positive.\n' | b'b**(5/13717)\n' | b'Simplify (((b/(b/b**(2/11)))**(-5/4))**(-2/43))**(1/29) assuming b is positive.\n' | b'b**(5/13717)\n' | deepmind/math_dataset |
b'Let j(l) be the third derivative of -l**6/120 - l**4/8 - 5*l**2. Let h(b) be the second derivative of j(b). What is h(-1)?\n' | b'6\n' | b'Let j(l) be the third derivative of -l**6/120 - l**4/8 - 5*l**2. Let h(b) be the second derivative of j(b). What is h(-1)?\n' | b'6\n' | deepmind/math_dataset |
b'Let h(i) be the first derivative of -i**4/4 - 2*i**3 - 3*i**2/2 + 6*i - 1. Suppose -2*g = -2*s + 3*g + 55, 26 = s - 2*g. Suppose 0*o - s = 4*o. What is h(o)?\n' | b'-4\n' | b'Let h(i) be the first derivative of -i**4/4 - 2*i**3 - 3*i**2/2 + 6*i - 1. Suppose -2*g = -2*s + 3*g + 55, 26 = s - 2*g. Suppose 0*o - s = 4*o. What is h(o)?\n' | b'-4\n' | deepmind/math_dataset |
b'Let j = 53 + -49. Suppose y = k + 2, k + 6 = j*y - 8. Suppose 3*g = -3*t + 6, -t = -3*g - 5*t + 6. Solve 3*q + 2*q = 2*n - 2, -y*n = g*q - 4 for n.\n' | b'1\n' | b'Let j = 53 + -49. Suppose y = k + 2, k + 6 = j*y - 8. Suppose 3*g = -3*t + 6, -t = -3*g - 5*t + 6. Solve 3*q + 2*q = 2*n - 2, -y*n = g*q - 4 for n.\n' | b'1\n' | deepmind/math_dataset |
b'Let h(u) = -u**2 + 152*u + 0*u**2 - 151*u. What is h(1)?\n' | b'0\n' | b'Let h(u) = -u**2 + 152*u + 0*u**2 - 151*u. What is h(1)?\n' | b'0\n' | deepmind/math_dataset |
b'Let r(f) = f - 6. Let b(j) = 2*j**2 - 2*j - 8. Let q be b(6). Suppose -2*h + q = -2*y + 3*y, 4*y + 92 = 4*h. Suppose -h = -2*p - 3*p. What is r(p)?\n' | b'-1\n' | b'Let r(f) = f - 6. Let b(j) = 2*j**2 - 2*j - 8. Let q be b(6). Suppose -2*h + q = -2*y + 3*y, 4*y + 92 = 4*h. Suppose -h = -2*p - 3*p. What is r(p)?\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((w/((w*w/(w*w**(-1))*w*w*w*w)/w))**(-31))**(-9/5)*w*w**(-5/4)*(w**(1/2)*w)/w*(w**(2/5))**(-2/69) assuming w is positive.\n' | b'w**(-307687/1380)\n' | b'Simplify ((w/((w*w/(w*w**(-1))*w*w*w*w)/w))**(-31))**(-9/5)*w*w**(-5/4)*(w**(1/2)*w)/w*(w**(2/5))**(-2/69) assuming w is positive.\n' | b'w**(-307687/1380)\n' | deepmind/math_dataset |
b'Simplify (n**(-5/3))**(-2) assuming n is positive.\n' | b'n**(10/3)\n' | b'Simplify (n**(-5/3))**(-2) assuming n is positive.\n' | b'n**(10/3)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from igbgggvbll. Give prob of sequence vlbg.\n' | b'1/315\n' | b'Four letters picked without replacement from igbgggvbll. Give prob of sequence vlbg.\n' | b'1/315\n' | deepmind/math_dataset |
b'Suppose -3*y - 14 = 10. Let n be 6/4*y/(-6). Suppose 2 = -n*s + 26. Solve -2*b = -2*r - 2 - 10, -s = 4*b + 5*r for b.\n' | b'2\n' | b'Suppose -3*y - 14 = 10. Let n be 6/4*y/(-6). Suppose 2 = -n*s + 26. Solve -2*b = -2*r - 2 - 10, -s = 4*b + 5*r for b.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence mkmk when four letters picked without replacement from {k: 2, v: 4, m: 6}?\n' | b'1/198\n' | b'What is prob of sequence mkmk when four letters picked without replacement from {k: 2, v: 4, m: 6}?\n' | b'1/198\n' | deepmind/math_dataset |
b'Simplify ((y**(-1))**(-2/31))**(1/2)/((y*y*y**(2/19))/(y/(y/(((y/(y*y**(5/4)))/y)/y))))**(2/5) assuming y is positive.\n' | b'y**(-12427/5890)\n' | b'Simplify ((y**(-1))**(-2/31))**(1/2)/((y*y*y**(2/19))/(y/(y/(((y/(y*y**(5/4)))/y)/y))))**(2/5) assuming y is positive.\n' | b'y**(-12427/5890)\n' | deepmind/math_dataset |
b'Let h(k) = -13*k - 10. Let a(w) = -w - 1. Let j(t) = 40*a(t) - 5*h(t). Differentiate j(v) with respect to v.\n' | b'25\n' | b'Let h(k) = -13*k - 10. Let a(w) = -w - 1. Let j(t) = 40*a(t) - 5*h(t). Differentiate j(v) with respect to v.\n' | b'25\n' | deepmind/math_dataset |
b'Three letters picked without replacement from hhmmmmmmmmmmmmmmhm. What is prob of sequence hmm?\n' | b'35/272\n' | b'Three letters picked without replacement from hhmmmmmmmmmmmmmmhm. What is prob of sequence hmm?\n' | b'35/272\n' | deepmind/math_dataset |
b'Let q(u) = -18*u**4 + 4*u**3 - 14*u**2 + 4. Let b(j) = 19*j**4 - 5*j**3 + 15*j**2 - 5. Let l(t) = -4*b(t) - 5*q(t). What is the third derivative of l(f) wrt f?\n' | b'336*f\n' | b'Let q(u) = -18*u**4 + 4*u**3 - 14*u**2 + 4. Let b(j) = 19*j**4 - 5*j**3 + 15*j**2 - 5. Let l(t) = -4*b(t) - 5*q(t). What is the third derivative of l(f) wrt f?\n' | b'336*f\n' | deepmind/math_dataset |
b'Let z(a) = -5*a - 4. Let n = -235 + 233. Let u be n/6 + (-66)/18. Calculate z(u).\n' | b'16\n' | b'Let z(a) = -5*a - 4. Let n = -235 + 233. Let u be n/6 + (-66)/18. Calculate z(u).\n' | b'16\n' | deepmind/math_dataset |
b'Suppose 37*l = -138*l + 80*l - 380. Let s(f) be the first derivative of -1/3*f**3 + 1 + 4*f - 1/2*f**2. Give s(l).\n' | b'-8\n' | b'Suppose 37*l = -138*l + 80*l - 380. Let s(f) be the first derivative of -1/3*f**3 + 1 + 4*f - 1/2*f**2. Give s(l).\n' | b'-8\n' | deepmind/math_dataset |
b'Simplify (h**(-6/11)*h*h*h)**(-30)*h/(h/h**(-26))*h**(-29)*h assuming h is positive.\n' | b'h**(-1404/11)\n' | b'Simplify (h**(-6/11)*h*h*h)**(-30)*h/(h/h**(-26))*h**(-29)*h assuming h is positive.\n' | b'h**(-1404/11)\n' | deepmind/math_dataset |
b'What is prob of picking 1 z and 1 v when two letters picked without replacement from {v: 3, z: 6, e: 5, m: 3}?\n' | b'9/68\n' | b'What is prob of picking 1 z and 1 v when two letters picked without replacement from {v: 3, z: 6, e: 5, m: 3}?\n' | b'9/68\n' | deepmind/math_dataset |
b'Suppose -5*n = 2*u - 7*u + 175, -3*u + 101 = n. Let i = u + -30. Solve i*k - 3*z = -2, -2*k + 3 = -k + z for k.\n' | b'1\n' | b'Suppose -5*n = 2*u - 7*u + 175, -3*u + 101 = n. Let i = u + -30. Solve i*k - 3*z = -2, -2*k + 3 = -k + z for k.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify p**(-7)*p**(-5/4)*(p*p/p**(2/3))**(-12) assuming p is positive.\n' | b'p**(-97/4)\n' | b'Simplify p**(-7)*p**(-5/4)*(p*p/p**(2/3))**(-12) assuming p is positive.\n' | b'p**(-97/4)\n' | deepmind/math_dataset |
b'What is prob of picking 1 t and 2 d when three letters picked without replacement from {e: 1, h: 1, d: 5, t: 2}?\n' | b'5/21\n' | b'What is prob of picking 1 t and 2 d when three letters picked without replacement from {e: 1, h: 1, d: 5, t: 2}?\n' | b'5/21\n' | deepmind/math_dataset |
b'Simplify ((o**(1/23)*o)/((o*o**(-1/42))/o))/(((o*o*((o*o**(2/61))/o)/o)/o*o)/(o*o*o**(10/3)*o)) assuming o is positive.\n' | b'o**(125077/19642)\n' | b'Simplify ((o**(1/23)*o)/((o*o**(-1/42))/o))/(((o*o*((o*o**(2/61))/o)/o)/o*o)/(o*o*o**(10/3)*o)) assuming o is positive.\n' | b'o**(125077/19642)\n' | deepmind/math_dataset |
b'Let m = -692 - -699. Let z = 6 + -3. Suppose -2*w + m = -z. Solve -3*h + 3*a = 2*h + 35, -w*h - 15 = a for h.\n' | b'-4\n' | b'Let m = -692 - -699. Let z = 6 + -3. Suppose -2*w + m = -z. Solve -3*h + 3*a = 2*h + 35, -w*h - 15 = a for h.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence ww when two letters picked without replacement from {w: 7, p: 3}?\n' | b'7/15\n' | b'What is prob of sequence ww when two letters picked without replacement from {w: 7, p: 3}?\n' | b'7/15\n' | deepmind/math_dataset |
b'Let x(y) = -4*y + 4*y - y**2 - 1 + 0*y. Let o(d) = 2*d**2 + 7*d + 1. Let f(k) = o(k) + x(k). What is the second derivative of f(g) wrt g?\n' | b'2\n' | b'Let x(y) = -4*y + 4*y - y**2 - 1 + 0*y. Let o(d) = 2*d**2 + 7*d + 1. Let f(k) = o(k) + x(k). What is the second derivative of f(g) wrt g?\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 1, v: 5, a: 9, g: 5}. Give prob of picking 1 u and 1 a.\n' | b'9/190\n' | b'Two letters picked without replacement from {u: 1, v: 5, a: 9, g: 5}. Give prob of picking 1 u and 1 a.\n' | b'9/190\n' | deepmind/math_dataset |
b'Let f(o) = 5*o**2 + 2*o + 2. Let h(m) = -3*m**3 + 8*m**2 - 6*m - 4. Let k(u) = -f(u) - h(u). Determine k(5).\n' | b'72\n' | b'Let f(o) = 5*o**2 + 2*o + 2. Let h(m) = -3*m**3 + 8*m**2 - 6*m - 4. Let k(u) = -f(u) - h(u). Determine k(5).\n' | b'72\n' | deepmind/math_dataset |
b'Suppose 2*n - 6 = -0*n. Let x be ((-6)/4)/((-18)/60). Find the third derivative of -3*t**3 - x*t**3 + 3*t**3 - 2*t**n - 5*t**2 wrt t.\n' | b'-42\n' | b'Suppose 2*n - 6 = -0*n. Let x be ((-6)/4)/((-18)/60). Find the third derivative of -3*t**3 - x*t**3 + 3*t**3 - 2*t**n - 5*t**2 wrt t.\n' | b'-42\n' | deepmind/math_dataset |
b'Let f(z) = 6*z + 1. Let n be (-1)/(-1)*(0 - -1). What is f(n)?\n' | b'7\n' | b'Let f(z) = 6*z + 1. Let n be (-1)/(-1)*(0 - -1). What is f(n)?\n' | b'7\n' | deepmind/math_dataset |
b'Let o(t) = 21 - 650*t + 1282*t - 634*t + 2*t**2. Calculate o(5).\n' | b'61\n' | b'Let o(t) = 21 - 650*t + 1282*t - 634*t + 2*t**2. Calculate o(5).\n' | b'61\n' | deepmind/math_dataset |
b'Suppose -4*n = -4*f + 308, -102 - 125 = 3*n - 2*f. Let t = n - -105. What is the derivative of t - 16 + 2*a**3 + a**3 + 4*a**3 wrt a?\n' | b'21*a**2\n' | b'Suppose -4*n = -4*f + 308, -102 - 125 = 3*n - 2*f. Let t = n - -105. What is the derivative of t - 16 + 2*a**3 + a**3 + 4*a**3 wrt a?\n' | b'21*a**2\n' | deepmind/math_dataset |
b'Suppose 4*w - 2*g + 918 = -5*g, -5*g = -5*w - 1165. Let q = w - -233. Solve 3*k - p + 7 = -5*p, q*k = -2*p - 6 for k.\n' | b'-5\n' | b'Suppose 4*w - 2*g + 918 = -5*g, -5*g = -5*w - 1165. Let q = w - -233. Solve 3*k - p + 7 = -5*p, q*k = -2*p - 6 for k.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of sequence eete when four letters picked without replacement from {n: 4, t: 2, e: 3}?\n' | b'1/252\n' | b'What is prob of sequence eete when four letters picked without replacement from {n: 4, t: 2, e: 3}?\n' | b'1/252\n' | deepmind/math_dataset |
b'What is prob of sequence upm when three letters picked without replacement from {u: 2, k: 3, m: 1, p: 4}?\n' | b'1/90\n' | b'What is prob of sequence upm when three letters picked without replacement from {u: 2, k: 3, m: 1, p: 4}?\n' | b'1/90\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 e, 1 j, and 1 w when four letters picked without replacement from wejj.\n' | b'0\n' | b'Calculate prob of picking 2 e, 1 j, and 1 w when four letters picked without replacement from wejj.\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from gijqggiijicqigqg. What is prob of sequence iqig?\n' | b'5/728\n' | b'Four letters picked without replacement from gijqggiijicqigqg. What is prob of sequence iqig?\n' | b'5/728\n' | deepmind/math_dataset |
b'Suppose -8 = -4*u, 33 = 5*z - 5*u + 8. Let k(q) = -3*q + z*q**2 + 0*q**2 + 3 - 4 + 4*q. Let n(f) = f - 3. Let i be n(4). Determine k(i).\n' | b'7\n' | b'Suppose -8 = -4*u, 33 = 5*z - 5*u + 8. Let k(q) = -3*q + z*q**2 + 0*q**2 + 3 - 4 + 4*q. Let n(f) = f - 3. Let i be n(4). Determine k(i).\n' | b'7\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 i and 1 j when four letters picked without replacement from {i: 3, j: 7}.\n' | b'1/30\n' | b'Calculate prob of picking 3 i and 1 j when four letters picked without replacement from {i: 3, j: 7}.\n' | b'1/30\n' | deepmind/math_dataset |
b'What is prob of sequence ff when two letters picked without replacement from {v: 6, f: 6}?\n' | b'5/22\n' | b'What is prob of sequence ff when two letters picked without replacement from {v: 6, f: 6}?\n' | b'5/22\n' | deepmind/math_dataset |
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