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'Suppose 171 = -44*b + 523. Let n(t) be the first derivative of 0*t + 0*t**2 - b + 11/4*t**4 + 2*t**3. Find the third derivative of n(j) wrt j.\n' | b'66\n' | b'Suppose 171 = -44*b + 523. Let n(t) be the first derivative of 0*t + 0*t**2 - b + 11/4*t**4 + 2*t**3. Find the third derivative of n(j) wrt j.\n' | b'66\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gggcccgxgxggcgxc. Give prob of picking 1 c and 1 g.\n' | b'1/3\n' | b'Two letters picked without replacement from gggcccgxgxggcgxc. Give prob of picking 1 c and 1 g.\n' | b'1/3\n' | deepmind/math_dataset |
b'What is prob of sequence la when two letters picked without replacement from {l: 2, i: 2, a: 1}?\n' | b'1/10\n' | b'What is prob of sequence la when two letters picked without replacement from {l: 2, i: 2, a: 1}?\n' | b'1/10\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hyyhhhyh. What is prob of picking 4 h?\n' | b'1/14\n' | b'Four letters picked without replacement from hyyhhhyh. What is prob of picking 4 h?\n' | b'1/14\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ggkggkg. Give prob of sequence ggg.\n' | b'2/7\n' | b'Three letters picked without replacement from ggkggkg. Give prob of sequence ggg.\n' | b'2/7\n' | deepmind/math_dataset |
b'Let i(x) = -16*x**2 + 16*x + 4366. Let o(c) = 3*c**3 + c**2 - 6*c + 1. Let k(y) = -i(y) - o(y). Find the first derivative of k(q) wrt q.\n' | b'-9*q**2 + 30*q - 10\n' | b'Let i(x) = -16*x**2 + 16*x + 4366. Let o(c) = 3*c**3 + c**2 - 6*c + 1. Let k(y) = -i(y) - o(y). Find the first derivative of k(q) wrt q.\n' | b'-9*q**2 + 30*q - 10\n' | deepmind/math_dataset |
b'Let g = -80 - -81. Let w(h) = -2*h - 1. Let z(c) = c - 1. Let j(n) = g*z(n) + w(n). Calculate j(-4).\n' | b'2\n' | b'Let g = -80 - -81. Let w(h) = -2*h - 1. Let z(c) = c - 1. Let j(n) = g*z(n) + w(n). Calculate j(-4).\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence rnr when three letters picked without replacement from rnrrrnnnnnrnn?\n' | b'40/429\n' | b'What is prob of sequence rnr when three letters picked without replacement from rnrrrnnnnnrnn?\n' | b'40/429\n' | deepmind/math_dataset |
b'Let g = 228 - 260. Suppose -116 = 4*a + 8. Let l = g - a. Let n(i) = 11*i + 1. Calculate n(l).\n' | b'-10\n' | b'Let g = 228 - 260. Suppose -116 = 4*a + 8. Let l = g - a. Let n(i) = 11*i + 1. Calculate n(l).\n' | b'-10\n' | deepmind/math_dataset |
b'Let w be 8*((-6)/2 - (-39)/12). Let c(d) be the third derivative of -5*d**w - 1/24*d**4 + 5/6*d**3 + 0 + 0*d. What is the derivative of c(u) wrt u?\n' | b'-1\n' | b'Let w be 8*((-6)/2 - (-39)/12). Let c(d) be the third derivative of -5*d**w - 1/24*d**4 + 5/6*d**3 + 0 + 0*d. What is the derivative of c(u) wrt u?\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((k*k/(k**1/k)*k)/(k**(-7)*k))/(k**(1/2)/(k*k**(1/11)/k)) assuming k is positive.\n' | b'k**(189/22)\n' | b'Simplify ((k*k/(k**1/k)*k)/(k**(-7)*k))/(k**(1/2)/(k*k**(1/11)/k)) assuming k is positive.\n' | b'k**(189/22)\n' | deepmind/math_dataset |
b'Let x(a) = 10*a**3 + 8*a**2 + 16*a + 11. Let i be x(-2). Let j = i - -105. Solve 0 = 3*h + 5*o - 0*o - 8, 5*h - 4*o = -j for h.\n' | b'-4\n' | b'Let x(a) = 10*a**3 + 8*a**2 + 16*a + 11. Let i be x(-2). Let j = i - -105. Solve 0 = 3*h + 5*o - 0*o - 8, 5*h - 4*o = -j for h.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (q*q**(-17))/(q*q**(2/5))*(q*(q**22*q)/q)/(q*q**(-11)/q) assuming q is positive.\n' | b'q**(83/5)\n' | b'Simplify (q*q**(-17))/(q*q**(2/5))*(q*(q**22*q)/q)/(q*q**(-11)/q) assuming q is positive.\n' | b'q**(83/5)\n' | deepmind/math_dataset |
b'Let u(t) be the first derivative of -1305*t**4 - 40*t**3/3 + 5*t**2/2 + 2*t + 6072. What is the third derivative of u(o) wrt o?\n' | b'-31320\n' | b'Let u(t) be the first derivative of -1305*t**4 - 40*t**3/3 + 5*t**2/2 + 2*t + 6072. What is the third derivative of u(o) wrt o?\n' | b'-31320\n' | deepmind/math_dataset |
b'Three letters picked without replacement from rrrrsrrsrrrrr. What is prob of picking 3 r?\n' | b'15/26\n' | b'Three letters picked without replacement from rrrrsrrsrrrrr. What is prob of picking 3 r?\n' | b'15/26\n' | deepmind/math_dataset |
b'What is the first derivative of -276*g - 459 + 4*g + 72*g - 248*g wrt g?\n' | b'-448\n' | b'What is the first derivative of -276*g - 459 + 4*g + 72*g - 248*g wrt g?\n' | b'-448\n' | deepmind/math_dataset |
b'Three letters picked without replacement from hcpcpppphcphh. What is prob of sequence cph?\n' | b'6/143\n' | b'Three letters picked without replacement from hcpcpppphcphh. What is prob of sequence cph?\n' | b'6/143\n' | deepmind/math_dataset |
b'What is prob of picking 2 o and 1 v when three letters picked without replacement from {o: 2, v: 5}?\n' | b'1/7\n' | b'What is prob of picking 2 o and 1 v when three letters picked without replacement from {o: 2, v: 5}?\n' | b'1/7\n' | deepmind/math_dataset |
b'Let l(f) = f**3 - 7*f**2 + 6. Let r = 40 + -45. Let i(y) = 5*y + 6. Let o(g) = -3*g - 4. Let v(u) = -5*i(u) - 8*o(u). Let z be v(r). Calculate l(z).\n' | b'6\n' | b'Let l(f) = f**3 - 7*f**2 + 6. Let r = 40 + -45. Let i(y) = 5*y + 6. Let o(g) = -3*g - 4. Let v(u) = -5*i(u) - 8*o(u). Let z be v(r). Calculate l(z).\n' | b'6\n' | deepmind/math_dataset |
b'Let w(z) = z + 8. Let x be w(-17). Let i(j) = j**3 + 9*j**2 - j - 2. Let n be i(x). Solve -2*k = 3*o - 9, -4*o + n*o - 6 = -3*k for o.\n' | b'5\n' | b'Let w(z) = z + 8. Let x be w(-17). Let i(j) = j**3 + 9*j**2 - j - 2. Let n be i(x). Solve -2*k = 3*o - 9, -4*o + n*o - 6 = -3*k for o.\n' | b'5\n' | deepmind/math_dataset |
b'Let w(j) be the second derivative of -8*j**3/3 - 7*j**2 + 10*j. Differentiate w(y) with respect to y.\n' | b'-16\n' | b'Let w(j) be the second derivative of -8*j**3/3 - 7*j**2 + 10*j. Differentiate w(y) with respect to y.\n' | b'-16\n' | deepmind/math_dataset |
b'What is prob of picking 2 a and 1 l when three letters picked without replacement from wislwaad?\n' | b'1/56\n' | b'What is prob of picking 2 a and 1 l when three letters picked without replacement from wislwaad?\n' | b'1/56\n' | deepmind/math_dataset |
b'Let a(g) = g**2 + g - 3. Let y be a(-3). Let r(z) = -z - 4 + 19 + 4*z**2 - 10. Let s(o) = -7*o**2 + 2*o - 10. Let j(m) = y*s(m) + 5*r(m). Give j(0).\n' | b'-5\n' | b'Let a(g) = g**2 + g - 3. Let y be a(-3). Let r(z) = -z - 4 + 19 + 4*z**2 - 10. Let s(o) = -7*o**2 + 2*o - 10. Let j(m) = y*s(m) + 5*r(m). Give j(0).\n' | b'-5\n' | deepmind/math_dataset |
b'Let q be (-9 - (2 - 1))*-1. Suppose 8 = 3*s + 2. Suppose 0 = -5*j - 3*k + 3, 5*j = s*k + 33 - 10. Solve -3*i = 2*m - 5 + 1, -5*m + q = -j*i for i.\n' | b'0\n' | b'Let q be (-9 - (2 - 1))*-1. Suppose 8 = 3*s + 2. Suppose 0 = -5*j - 3*k + 3, 5*j = s*k + 33 - 10. Solve -3*i = 2*m - 5 + 1, -5*m + q = -j*i for i.\n' | b'0\n' | deepmind/math_dataset |
b'Let t = 7 + -6. Let c(r) = -r - r - t + 3*r - 1. What is c(-2)?\n' | b'-4\n' | b'Let t = 7 + -6. Let c(r) = -r - r - t + 3*r - 1. What is c(-2)?\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (d*d*d**(-3/10))**35 assuming d is positive.\n' | b'd**(119/2)\n' | b'Simplify (d*d*d**(-3/10))**35 assuming d is positive.\n' | b'd**(119/2)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from axasxsaaadadtadadaa. What is prob of picking 1 s and 2 d?\n' | b'4/323\n' | b'Three letters picked without replacement from axasxsaaadadtadadaa. What is prob of picking 1 s and 2 d?\n' | b'4/323\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 7, o: 4, k: 1, x: 2}. What is prob of picking 1 t and 1 k?\n' | b'1/13\n' | b'Two letters picked without replacement from {t: 7, o: 4, k: 1, x: 2}. What is prob of picking 1 t and 1 k?\n' | b'1/13\n' | deepmind/math_dataset |
b'Simplify ((c/((c/c**(3/4))/c))/c)/c*c*c/(c/c**(-4))*(c**(2/3))**(-1) assuming c is positive.\n' | b'c**(-47/12)\n' | b'Simplify ((c/((c/c**(3/4))/c))/c)/c*c*c/(c/c**(-4))*(c**(2/3))**(-1) assuming c is positive.\n' | b'c**(-47/12)\n' | deepmind/math_dataset |
b'Let p(z) be the third derivative of -3*z**7/70 - 14*z**3/3 + 11*z**2. What is the first derivative of p(g) wrt g?\n' | b'-36*g**3\n' | b'Let p(z) be the third derivative of -3*z**7/70 - 14*z**3/3 + 11*z**2. What is the first derivative of p(g) wrt g?\n' | b'-36*g**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence pke when three letters picked without replacement from klnneplkllpplelkk.\n' | b'1/170\n' | b'Calculate prob of sequence pke when three letters picked without replacement from klnneplkllpplelkk.\n' | b'1/170\n' | deepmind/math_dataset |
b'Simplify (p**(-9)/p)**7 assuming p is positive.\n' | b'p**(-70)\n' | b'Simplify (p**(-9)/p)**7 assuming p is positive.\n' | b'p**(-70)\n' | deepmind/math_dataset |
b'Let g(b) = 2*b - 3 - b - 6*b + b**2. Suppose -3*m = -8*m + 60. Let a = m - 6. Give g(a).\n' | b'3\n' | b'Let g(b) = 2*b - 3 - b - 6*b + b**2. Suppose -3*m = -8*m + 60. Let a = m - 6. Give g(a).\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -2*j = -2*l + 14, 0*l - 2*l - 1 = -5*j. Let r(y) = 359*y - 183*y + y**2 - 188*y - l - 10*y**2 - y**3. What is r(-8)?\n' | b'20\n' | b'Suppose -2*j = -2*l + 14, 0*l - 2*l - 1 = -5*j. Let r(y) = 359*y - 183*y + y**2 - 188*y - l - 10*y**2 - y**3. What is r(-8)?\n' | b'20\n' | deepmind/math_dataset |
b'Simplify ((d**(2/11)/d**(2/19))/(d/(d/d**(1/5)))**(1/4))/(d**(-2/23)*d*((d/(d*d*d**(4/11)*d))/d)/d)**(-16/3) assuming d is positive.\n' | b'd**(-1766727/96140)\n' | b'Simplify ((d**(2/11)/d**(2/19))/(d/(d/d**(1/5)))**(1/4))/(d**(-2/23)*d*((d/(d*d*d**(4/11)*d))/d)/d)**(-16/3) assuming d is positive.\n' | b'd**(-1766727/96140)\n' | deepmind/math_dataset |
b'Let h be 1/4 - 126/(-8). Suppose 2 = -b + h. Suppose 5*f + 4*w = b - 3, w + 1 = 0. Solve -25 = -2*o - 5*t, 15 = 3*o - 0*t + f*t for o.\n' | b'0\n' | b'Let h be 1/4 - 126/(-8). Suppose 2 = -b + h. Suppose 5*f + 4*w = b - 3, w + 1 = 0. Solve -25 = -2*o - 5*t, 15 = 3*o - 0*t + f*t for o.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 2 l and 2 d when four letters picked without replacement from ldrld?\n' | b'1/5\n' | b'What is prob of picking 2 l and 2 d when four letters picked without replacement from ldrld?\n' | b'1/5\n' | deepmind/math_dataset |
b'Let n(i) = i + 2 + 8 - 7 + 7. Let u be n(-8). Solve -u*v - 2 + 0 = 3*q, -5*v = -q - 29 for v.\n' | b'5\n' | b'Let n(i) = i + 2 + 8 - 7 + 7. Let u be n(-8). Solve -u*v - 2 + 0 = 3*q, -5*v = -q - 29 for v.\n' | b'5\n' | deepmind/math_dataset |
b'Let r(b) = -b**3 - 10*b**2 - 9*b. Let h be r(-9). Suppose 4*j - 4 = -h*j. What is the derivative of j - 37*u - 3*u**3 + 37*u wrt u?\n' | b'-9*u**2\n' | b'Let r(b) = -b**3 - 10*b**2 - 9*b. Let h be r(-9). Suppose 4*j - 4 = -h*j. What is the derivative of j - 37*u - 3*u**3 + 37*u wrt u?\n' | b'-9*u**2\n' | deepmind/math_dataset |
b'Suppose 2*q = -3*s - 11, 4*q + 18 - 6 = -4*s. Let l(b) = -b + 3. Let o be l(3). Suppose r + 2*r - 18 = o. Solve q*k + 2*a = -0 - 6, 0 = 2*a + r for k.\n' | b'0\n' | b'Suppose 2*q = -3*s - 11, 4*q + 18 - 6 = -4*s. Let l(b) = -b + 3. Let o be l(3). Suppose r + 2*r - 18 = o. Solve q*k + 2*a = -0 - 6, 0 = 2*a + r for k.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (g**(-1/4)*g**(-1/4))**29*(g**(-5)*g**(-3))/(g**1)**(-1/14) assuming g is positive.\n' | b'g**(-157/7)\n' | b'Simplify (g**(-1/4)*g**(-1/4))**29*(g**(-5)*g**(-3))/(g**1)**(-1/14) assuming g is positive.\n' | b'g**(-157/7)\n' | deepmind/math_dataset |
b'Let l(o) = -o + 4. Let j be (3/3)/(3/27). Let k be (-2)/(-3)*(0 + j). Calculate l(k).\n' | b'-2\n' | b'Let l(o) = -o + 4. Let j be (3/3)/(3/27). Let k be (-2)/(-3)*(0 + j). Calculate l(k).\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 j and 2 v when four letters picked without replacement from ojoovvvovj.\n' | b'1/35\n' | b'Calculate prob of picking 2 j and 2 v when four letters picked without replacement from ojoovvvovj.\n' | b'1/35\n' | deepmind/math_dataset |
b'Four letters picked without replacement from zyymlmyylylyyzuzmmym. Give prob of sequence ymyl.\n' | b'7/969\n' | b'Four letters picked without replacement from zyymlmyylylyyzuzmmym. Give prob of sequence ymyl.\n' | b'7/969\n' | deepmind/math_dataset |
b'Find the third derivative of 3*f**2 + 9*f**3 - 53*f**3 - 11*f**2 + 0*f**3 wrt f.\n' | b'-264\n' | b'Find the third derivative of 3*f**2 + 9*f**3 - 53*f**3 - 11*f**2 + 0*f**3 wrt f.\n' | b'-264\n' | deepmind/math_dataset |
b'Let b(q) = q**3 - q. Let x(j) = -8*j**3 - 10*j. Suppose 3 = 2*z + 5. Let d(m) = z*x(m) + 6*b(m). What is the second derivative of d(l) wrt l?\n' | b'84*l\n' | b'Let b(q) = q**3 - q. Let x(j) = -8*j**3 - 10*j. Suppose 3 = 2*z + 5. Let d(m) = z*x(m) + 6*b(m). What is the second derivative of d(l) wrt l?\n' | b'84*l\n' | deepmind/math_dataset |
b'Let j(u) be the second derivative of -45*u**3 - 222*u**2 - 305*u. Differentiate j(c) with respect to c.\n' | b'-270\n' | b'Let j(u) be the second derivative of -45*u**3 - 222*u**2 - 305*u. Differentiate j(c) with respect to c.\n' | b'-270\n' | deepmind/math_dataset |
b'Let z(w) be the second derivative of 0 - 3*w + 0*w**2 + 0*w**4 + 0*w**5 - 1/30*w**6 + 2/3*w**3. What is the second derivative of z(t) wrt t?\n' | b'-12*t**2\n' | b'Let z(w) be the second derivative of 0 - 3*w + 0*w**2 + 0*w**4 + 0*w**5 - 1/30*w**6 + 2/3*w**3. What is the second derivative of z(t) wrt t?\n' | b'-12*t**2\n' | deepmind/math_dataset |
b'Simplify (n*(n*n**0/n)/n)**(-13/4)*(n**(-1)*n)**(-20) assuming n is positive.\n' | b'1\n' | b'Simplify (n*(n*n**0/n)/n)**(-13/4)*(n**(-1)*n)**(-20) assuming n is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((((t*t/t**(-6)*t)/t)/t)/(t*t**7/t))/(t**(-18)*t**29) assuming t is positive.\n' | b't**(-11)\n' | b'Simplify ((((t*t/t**(-6)*t)/t)/t)/(t*t**7/t))/(t**(-18)*t**29) assuming t is positive.\n' | b't**(-11)\n' | deepmind/math_dataset |
b'Let x(q) be the third derivative of -q**5/10 - 2*q**3/3 - 16*q**2. Differentiate x(w) wrt w.\n' | b'-12*w\n' | b'Let x(q) be the third derivative of -q**5/10 - 2*q**3/3 - 16*q**2. Differentiate x(w) wrt w.\n' | b'-12*w\n' | deepmind/math_dataset |
b'Differentiate -6*t**4 + 77*t + 7 - 77*t with respect to t.\n' | b'-24*t**3\n' | b'Differentiate -6*t**4 + 77*t + 7 - 77*t with respect to t.\n' | b'-24*t**3\n' | deepmind/math_dataset |
b'Let k(w) = -w**3 - 5*w**2 - 4*w + 3. Let r be k(-4). Let h(a) = -a + 3*a**3 - 4*a**3 - r*a**2 - 7 + 3. Let p = 9250 - 9253. Determine h(p).\n' | b'-1\n' | b'Let k(w) = -w**3 - 5*w**2 - 4*w + 3. Let r be k(-4). Let h(a) = -a + 3*a**3 - 4*a**3 - r*a**2 - 7 + 3. Let p = 9250 - 9253. Determine h(p).\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 n, 1 p, 1 l, and 1 v when four letters picked without replacement from {v: 1, n: 3, c: 2, f: 8, l: 3, p: 1}.\n' | b'1/340\n' | b'Calculate prob of picking 1 n, 1 p, 1 l, and 1 v when four letters picked without replacement from {v: 1, n: 3, c: 2, f: 8, l: 3, p: 1}.\n' | b'1/340\n' | deepmind/math_dataset |
b'What is prob of picking 1 l, 1 r, and 2 a when four letters picked without replacement from {r: 6, p: 6, y: 2, a: 3, l: 1}?\n' | b'1/170\n' | b'What is prob of picking 1 l, 1 r, and 2 a when four letters picked without replacement from {r: 6, p: 6, y: 2, a: 3, l: 1}?\n' | b'1/170\n' | deepmind/math_dataset |
b'Suppose -55 = -5*t + 25. Suppose 0 = 4*p - 0 + t. Let c(g) = -g**2 - 7*g + 8. Let j be c(p). Solve 0 = -2*d - 4*r - j, -d - 14 = 4*d + r for d.\n' | b'-2\n' | b'Suppose -55 = -5*t + 25. Suppose 0 = 4*p - 0 + t. Let c(g) = -g**2 - 7*g + 8. Let j be c(p). Solve 0 = -2*d - 4*r - j, -d - 14 = 4*d + r for d.\n' | b'-2\n' | deepmind/math_dataset |
b'Let q be (-6 + 2)*2 - -1*(10 + 1). Let w(v) be the third derivative of -1/24*v**4 + 0*v**q - 1/30*v**5 + 0 - 39*v**2 + 0*v. Calculate w(1).\n' | b'-3\n' | b'Let q be (-6 + 2)*2 - -1*(10 + 1). Let w(v) be the third derivative of -1/24*v**4 + 0*v**q - 1/30*v**5 + 0 - 39*v**2 + 0*v. Calculate w(1).\n' | b'-3\n' | deepmind/math_dataset |
b'Let j(q) = q**3 - 5*q**2 + 22*q - 109. Let s be j(5). Let d(a) be the second derivative of -5*a**5/4 - a**2/2 - 2*a. What is d(s)?\n' | b'-26\n' | b'Let j(q) = q**3 - 5*q**2 + 22*q - 109. Let s be j(5). Let d(a) be the second derivative of -5*a**5/4 - a**2/2 - 2*a. What is d(s)?\n' | b'-26\n' | deepmind/math_dataset |
b'Let x(z) be the third derivative of -7*z**6/60 + z**5/60 + 11*z**4/2 - z**2 + 17. Find the second derivative of x(n) wrt n.\n' | b'-84*n + 2\n' | b'Let x(z) be the third derivative of -7*z**6/60 + z**5/60 + 11*z**4/2 - z**2 + 17. Find the second derivative of x(n) wrt n.\n' | b'-84*n + 2\n' | deepmind/math_dataset |
b'What is prob of sequence qq when two letters picked without replacement from ininnqiiqceg?\n' | b'1/66\n' | b'What is prob of sequence qq when two letters picked without replacement from ininnqiiqceg?\n' | b'1/66\n' | deepmind/math_dataset |
b'Differentiate -246 + 268*v**2 + 81 - 210*v**2 with respect to v.\n' | b'116*v\n' | b'Differentiate -246 + 268*v**2 + 81 - 210*v**2 with respect to v.\n' | b'116*v\n' | deepmind/math_dataset |
b'Simplify (b**14*b/((b/b**5)/b)*b)/(b/b**(-1/4)*(b*b*b*b**6*b)/b) assuming b is positive.\n' | b'b**(43/4)\n' | b'Simplify (b**14*b/((b/b**5)/b)*b)/(b/b**(-1/4)*(b*b*b*b**6*b)/b) assuming b is positive.\n' | b'b**(43/4)\n' | deepmind/math_dataset |
b'Simplify ((w*w*w*w**1*w*w)**(-50)/(w*w/(w/w**(-1))*w/(w/(w/((w*w/(w*w*w*(w*w*(w*w*w**(4/5))/w)/w*w))/w*w)))))**10 assuming w is positive.\n' | b'w**(-3058)\n' | b'Simplify ((w*w*w*w**1*w*w)**(-50)/(w*w/(w/w**(-1))*w/(w/(w/((w*w/(w*w*w*(w*w*(w*w*w**(4/5))/w)/w*w))/w*w)))))**10 assuming w is positive.\n' | b'w**(-3058)\n' | deepmind/math_dataset |
b'What is prob of picking 1 r, 2 c, and 1 g when four letters picked without replacement from grxrrrcgrcrr?\n' | b'14/495\n' | b'What is prob of picking 1 r, 2 c, and 1 g when four letters picked without replacement from grxrrrcgrcrr?\n' | b'14/495\n' | deepmind/math_dataset |
b'Let i(n) be the third derivative of 0*n**6 + 0*n + 0*n**3 + 0*n**4 + 0*n**7 - 2/15*n**5 + 0 + 14*n**2 + 1/42*n**8. What is the third derivative of i(c) wrt c?\n' | b'480*c**2\n' | b'Let i(n) be the third derivative of 0*n**6 + 0*n + 0*n**3 + 0*n**4 + 0*n**7 - 2/15*n**5 + 0 + 14*n**2 + 1/42*n**8. What is the third derivative of i(c) wrt c?\n' | b'480*c**2\n' | deepmind/math_dataset |
b'Suppose -d = 2*a - 12, -4*a - 11*d + 6*d = -18. Solve -5 = z - a, 3*p - 10 = -2*z for p.\n' | b'2\n' | b'Suppose -d = 2*a - 12, -4*a - 11*d + 6*d = -18. Solve -5 = z - a, 3*p - 10 = -2*z for p.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from popoooozzooopozp. Give prob of sequence pz.\n' | b'1/20\n' | b'Two letters picked without replacement from popoooozzooopozp. Give prob of sequence pz.\n' | b'1/20\n' | deepmind/math_dataset |
b'Let a = 30975 - 30970. Let z = 7 - 2. Let g(i) = 2*i - 5. Let j be g(z). Solve a*y + 14 = m, -4*m + 10 = m + j*y for m.\n' | b'4\n' | b'Let a = 30975 - 30970. Let z = 7 - 2. Let g(i) = 2*i - 5. Let j be g(z). Solve a*y + 14 = m, -4*m + 10 = m + j*y for m.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -14*v + 9 - 1 + 76 = 0. Solve -j - 4*c + 2 = -7, 5*c = 4*j + v for j.\n' | b'1\n' | b'Suppose -14*v + 9 - 1 + 76 = 0. Solve -j - 4*c + 2 = -7, 5*c = 4*j + v for j.\n' | b'1\n' | deepmind/math_dataset |
b'What is the third derivative of 18681*l**3 + 403*l**3 + 24 - 20*l - 6543*l**3 + l**2 wrt l?\n' | b'75246\n' | b'What is the third derivative of 18681*l**3 + 403*l**3 + 24 - 20*l - 6543*l**3 + l**2 wrt l?\n' | b'75246\n' | deepmind/math_dataset |
b'Let w(f) = f**2 - 6*f. Let x be w(6). Suppose 11 = -z + 3*z + q, -2*z + 3*q - 9 = x. What is the derivative of -z + 0*k + 2*k + 2 wrt k?\n' | b'2\n' | b'Let w(f) = f**2 - 6*f. Let x be w(6). Suppose 11 = -z + 3*z + q, -2*z + 3*q - 9 = x. What is the derivative of -z + 0*k + 2*k + 2 wrt k?\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 471*l - 444*l - 40 = 68. Let a(o) = 0*o + 5 - 4 + 8*o**2 + o. Let d be a(-1). Solve 0 = l*g - f - d, -5*f + 2 = -g + 4 for g.\n' | b'2\n' | b'Suppose 471*l - 444*l - 40 = 68. Let a(o) = 0*o + 5 - 4 + 8*o**2 + o. Let d be a(-1). Solve 0 = l*g - f - d, -5*f + 2 = -g + 4 for g.\n' | b'2\n' | deepmind/math_dataset |
b'Let t = -3/20 - -19/60. Let s(y) be the second derivative of 0*y**2 - 1/30*y**6 + 0*y**5 + t*y**3 + 0 - y + 0*y**4. What is the second derivative of s(k) wrt k?\n' | b'-12*k**2\n' | b'Let t = -3/20 - -19/60. Let s(y) be the second derivative of 0*y**2 - 1/30*y**6 + 0*y**5 + t*y**3 + 0 - y + 0*y**4. What is the second derivative of s(k) wrt k?\n' | b'-12*k**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from mzzmtztm. Give prob of sequence tmmt.\n' | b'1/140\n' | b'Four letters picked without replacement from mzzmtztm. Give prob of sequence tmmt.\n' | b'1/140\n' | deepmind/math_dataset |
b'Let k(f) = -2 - 10*f**2 + 11*f**2 + 3*f - 7*f**2 - 9*f - f**3. Give k(-5).\n' | b'3\n' | b'Let k(f) = -2 - 10*f**2 + 11*f**2 + 3*f - 7*f**2 - 9*f - f**3. Give k(-5).\n' | b'3\n' | deepmind/math_dataset |
b'Let c = 0 - 0. Let u(w) = -5*w**3 - 12*w**2 - 5*w - 13. Let a(s) = 29*s**3 - 10*s**2 - 58*s**3 - 4*s - 11 + 25*s**3. Let p(n) = 6*a(n) - 5*u(n). Give p(c).\n' | b'-1\n' | b'Let c = 0 - 0. Let u(w) = -5*w**3 - 12*w**2 - 5*w - 13. Let a(s) = 29*s**3 - 10*s**2 - 58*s**3 - 4*s - 11 + 25*s**3. Let p(n) = 6*a(n) - 5*u(n). Give p(c).\n' | b'-1\n' | deepmind/math_dataset |
b'Let y(k) be the first derivative of -k**5/60 + 5*k**4/24 - k**3/6 - 3*k**2 + 4. Let l(a) be the second derivative of y(a). Determine l(4).\n' | b'3\n' | b'Let y(k) be the first derivative of -k**5/60 + 5*k**4/24 - k**3/6 - 3*k**2 + 4. Let l(a) be the second derivative of y(a). Determine l(4).\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((o**(-1/4))**(4/9)/((o*o*o/o**(-3)*o*o)/o**(2/9)))/((o**(-1/2))**(-36)*(o*o**(-1/5)/o)/(o**(7/4)/o)) assuming o is positive.\n' | b'o**(-4489/180)\n' | b'Simplify ((o**(-1/4))**(4/9)/((o*o*o/o**(-3)*o*o)/o**(2/9)))/((o**(-1/2))**(-36)*(o*o**(-1/5)/o)/(o**(7/4)/o)) assuming o is positive.\n' | b'o**(-4489/180)\n' | deepmind/math_dataset |
b'Let g(w) be the first derivative of 25/3*w**3 + 18/5*w**5 + 0*w**2 + 0*w - 30 + 0*w**4. What is the third derivative of g(h) wrt h?\n' | b'432*h\n' | b'Let g(w) be the first derivative of 25/3*w**3 + 18/5*w**5 + 0*w**2 + 0*w - 30 + 0*w**4. What is the third derivative of g(h) wrt h?\n' | b'432*h\n' | deepmind/math_dataset |
b'Let z(p) be the first derivative of p**4/4 - 13*p**3/3 + 15*p**2/2 - 35*p - 24. Let j be z(12). Let x(s) = -29*s. Give x(j).\n' | b'-29\n' | b'Let z(p) be the first derivative of p**4/4 - 13*p**3/3 + 15*p**2/2 - 35*p - 24. Let j be z(12). Let x(s) = -29*s. Give x(j).\n' | b'-29\n' | deepmind/math_dataset |
b'Let o(i) = i**2 - 7*i - 6. Let l be o(8). Suppose -l = -2*t, -5*g + 4*t + 37 = -29. Let x(h) = 5 + g*h - 10*h + 0. Give x(-4).\n' | b'-11\n' | b'Let o(i) = i**2 - 7*i - 6. Let l be o(8). Suppose -l = -2*t, -5*g + 4*t + 37 = -29. Let x(h) = 5 + g*h - 10*h + 0. Give x(-4).\n' | b'-11\n' | deepmind/math_dataset |
b'Suppose -13*o - 5 = -31. Solve -5*z = -5*u - 1 - 4, -o*u + 5 = 5*z for u.\n' | b'0\n' | b'Suppose -13*o - 5 = -31. Solve -5*z = -5*u - 1 - 4, -o*u + 5 = 5*z for u.\n' | b'0\n' | deepmind/math_dataset |
b'Let s(i) be the first derivative of 2*i**5/15 + 5*i**4/6 + 7*i**3/3 + 37. Let h(d) be the third derivative of s(d). Differentiate h(c) with respect to c.\n' | b'16\n' | b'Let s(i) be the first derivative of 2*i**5/15 + 5*i**4/6 + 7*i**3/3 + 37. Let h(d) be the third derivative of s(d). Differentiate h(c) with respect to c.\n' | b'16\n' | deepmind/math_dataset |
b'Let k(t) = 1718*t**3 + 1034*t**2 + 17. Let n(z) = -573*z**3 - 341*z**2 - 6. Let b(d) = -6*k(d) - 17*n(d). Find the third derivative of b(u) wrt u.\n' | b'-3402\n' | b'Let k(t) = 1718*t**3 + 1034*t**2 + 17. Let n(z) = -573*z**3 - 341*z**2 - 6. Let b(d) = -6*k(d) - 17*n(d). Find the third derivative of b(u) wrt u.\n' | b'-3402\n' | deepmind/math_dataset |
b'Simplify ((t*t**(-8)*t)**10/(t**(-1/12)/((t*t**7/t*t*t)/t)))**(-19/3) assuming t is positive.\n' | b't**(11837/36)\n' | b'Simplify ((t*t**(-8)*t)**10/(t**(-1/12)/((t*t**7/t*t*t)/t)))**(-19/3) assuming t is positive.\n' | b't**(11837/36)\n' | deepmind/math_dataset |
b'Suppose -a + 17 - 16 = 0. Let i be (6/2 + -4)*(a - 6). Solve -30 = -i*j + 4*z, j + 7 = -2*z - 1 for j.\n' | b'2\n' | b'Suppose -a + 17 - 16 = 0. Let i be (6/2 + -4)*(a - 6). Solve -30 = -i*j + 4*z, j + 7 = -2*z - 1 for j.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j, 2 s, and 1 f when four letters picked without replacement from {q: 5, p: 1, f: 2, j: 1, s: 7}.\n' | b'3/130\n' | b'Calculate prob of picking 1 j, 2 s, and 1 f when four letters picked without replacement from {q: 5, p: 1, f: 2, j: 1, s: 7}.\n' | b'3/130\n' | deepmind/math_dataset |
b'Suppose 0 = -3*c - 2*c + 10. Suppose -7*n + c*n = 0. Let j be (n - 0)/(-2 + 1). Solve 0 = 5*d - 3*p - 2, j = -0*p - 4*p + 4 for d.\n' | b'1\n' | b'Suppose 0 = -3*c - 2*c + 10. Suppose -7*n + c*n = 0. Let j be (n - 0)/(-2 + 1). Solve 0 = 5*d - 3*p - 2, j = -0*p - 4*p + 4 for d.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence zz when two letters picked without replacement from ziviiivvivvvvvzivvv?\n' | b'1/171\n' | b'What is prob of sequence zz when two letters picked without replacement from ziviiivvivvvvvzivvv?\n' | b'1/171\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 3, e: 7}. What is prob of sequence es?\n' | b'7/30\n' | b'Two letters picked without replacement from {s: 3, e: 7}. What is prob of sequence es?\n' | b'7/30\n' | deepmind/math_dataset |
b'Simplify (z**4/z)**(-10/3)*(z/z**(9/4))/(z/((z/((z/(z/z**(5/7)))/z)*z)/z*z)) assuming z is positive.\n' | b'z**(-279/28)\n' | b'Simplify (z**4/z)**(-10/3)*(z/z**(9/4))/(z/((z/((z/(z/z**(5/7)))/z)*z)/z*z)) assuming z is positive.\n' | b'z**(-279/28)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 d and 2 q when three letters picked without replacement from dyyqq.\n' | b'1/10\n' | b'Calculate prob of picking 1 d and 2 q when three letters picked without replacement from dyyqq.\n' | b'1/10\n' | deepmind/math_dataset |
b'Three letters picked without replacement from fgffffgf. What is prob of picking 1 f and 2 g?\n' | b'3/28\n' | b'Three letters picked without replacement from fgffffgf. What is prob of picking 1 f and 2 g?\n' | b'3/28\n' | deepmind/math_dataset |
b'Let j be 1/(15/12*(-12)/(-30)). What is the second derivative of -d**2 + 4*d**3 + d**j - 84*d - 2 + 9*d wrt d?\n' | b'24*d\n' | b'Let j be 1/(15/12*(-12)/(-30)). What is the second derivative of -d**2 + 4*d**3 + d**j - 84*d - 2 + 9*d wrt d?\n' | b'24*d\n' | deepmind/math_dataset |
b'Simplify (i**7/i**(4/9))**(-43) assuming i is positive.\n' | b'i**(-2537/9)\n' | b'Simplify (i**7/i**(4/9))**(-43) assuming i is positive.\n' | b'i**(-2537/9)\n' | deepmind/math_dataset |
b'Let a(z) = 3*z**2 - 6*z - 3. Let j(t) = -t**2 + 2*t + 1. Let d(w) = -6*a(w) - 17*j(w). Determine d(-2).\n' | b'-7\n' | b'Let a(z) = 3*z**2 - 6*z - 3. Let j(t) = -t**2 + 2*t + 1. Let d(w) = -6*a(w) - 17*j(w). Determine d(-2).\n' | b'-7\n' | deepmind/math_dataset |
b'Let d(o) be the second derivative of 1/3*o**3 - 3*o**2 + 2*o + 0. Let m be d(6). Solve 3*p - 2*n + m = 0, 3*n = -2*p - 0 - 4 for p.\n' | b'-2\n' | b'Let d(o) be the second derivative of 1/3*o**3 - 3*o**2 + 2*o + 0. Let m be d(6). Solve 3*p - 2*n + m = 0, 3*n = -2*p - 0 - 4 for p.\n' | b'-2\n' | deepmind/math_dataset |
b'Let o be 76/(-38) - 3/(-3)*4. Solve o*a + 4*h = -18, -h - 4*h - 26 = -a for a.\n' | b'1\n' | b'Let o be 76/(-38) - 3/(-3)*4. Solve o*a + 4*h = -18, -h - 4*h - 26 = -a for a.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (p*p**(-5/7))/(p**(3/16)/p)*(p/p**(-9))/((p*p/(p*p**19)*p)/p*p*p) assuming p is positive.\n' | b'p**(3035/112)\n' | b'Simplify (p*p**(-5/7))/(p**(3/16)/p)*(p/p**(-9))/((p*p/(p*p**19)*p)/p*p*p) assuming p is positive.\n' | b'p**(3035/112)\n' | deepmind/math_dataset |
b'Calculate prob of sequence sc when two letters picked without replacement from scsseneeeqee.\n' | b'1/44\n' | b'Calculate prob of sequence sc when two letters picked without replacement from scsseneeeqee.\n' | b'1/44\n' | deepmind/math_dataset |
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