question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
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b'What is prob of picking 1 g, 2 n, and 1 m when four letters picked without replacement from mznfmmwfwzmgngw?\n' | b'8/1365\n' | b'What is prob of picking 1 g, 2 n, and 1 m when four letters picked without replacement from mznfmmwfwzmgngw?\n' | b'8/1365\n' | deepmind/math_dataset |
b'What is prob of picking 1 y and 1 r when two letters picked without replacement from {n: 1, r: 2, y: 2, q: 4, j: 2, h: 4}?\n' | b'4/105\n' | b'What is prob of picking 1 y and 1 r when two letters picked without replacement from {n: 1, r: 2, y: 2, q: 4, j: 2, h: 4}?\n' | b'4/105\n' | deepmind/math_dataset |
b'Let i(z) = z**2 - 2*z - 4. Suppose -2*c + 14 = 4*v, 0 = -v - 4*c - c + 8. Suppose 0 = v*g - 15, -5*a + 60 = -3*g + g. Suppose -a - 10 = -8*t. Determine i(t).\n' | b'-1\n' | b'Let i(z) = z**2 - 2*z - 4. Suppose -2*c + 14 = 4*v, 0 = -v - 4*c - c + 8. Suppose 0 = v*g - 15, -5*a + 60 = -3*g + g. Suppose -a - 10 = -8*t. Determine i(t).\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {j: 1, y: 1, g: 4, b: 4, z: 3}. What is prob of sequence gzzg?\n' | b'3/715\n' | b'Four letters picked without replacement from {j: 1, y: 1, g: 4, b: 4, z: 3}. What is prob of sequence gzzg?\n' | b'3/715\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 10, w: 4}. Give prob of picking 2 w.\n' | b'6/91\n' | b'Two letters picked without replacement from {p: 10, w: 4}. Give prob of picking 2 w.\n' | b'6/91\n' | deepmind/math_dataset |
b'Simplify (x*x*x**(2/7)*x*x*x)**(-17) assuming x is positive.\n' | b'x**(-629/7)\n' | b'Simplify (x*x*x**(2/7)*x*x*x)**(-17) assuming x is positive.\n' | b'x**(-629/7)\n' | deepmind/math_dataset |
b'Simplify ((j**(-35)*j**(-7/9))/(j**(-4/25)/j**(-27)))**(-18) assuming j is positive.\n' | b'j**(28178/25)\n' | b'Simplify ((j**(-35)*j**(-7/9))/(j**(-4/25)/j**(-27)))**(-18) assuming j is positive.\n' | b'j**(28178/25)\n' | deepmind/math_dataset |
b'Let q(t) = -316*t - 13 + 330*t + 14. Let k = 5 - 6. Give q(k).\n' | b'-13\n' | b'Let q(t) = -316*t - 13 + 330*t + 14. Let k = 5 - 6. Give q(k).\n' | b'-13\n' | deepmind/math_dataset |
b'Suppose 0 = -45*a + 6*a + 117. Suppose 0 = -4*s + 3*v + 75, -a*s + 36 + 23 = -5*v. Solve -3*l - s = -4*t, -3*t + l + 5 = 3*l for t.\n' | b'3\n' | b'Suppose 0 = -45*a + 6*a + 117. Suppose 0 = -4*s + 3*v + 75, -a*s + 36 + 23 = -5*v. Solve -3*l - s = -4*t, -3*t + l + 5 = 3*l for t.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence ntnd when four letters picked without replacement from jtjncjcdcncccjnjct?\n' | b'1/6120\n' | b'What is prob of sequence ntnd when four letters picked without replacement from jtjncjcdcncccjnjct?\n' | b'1/6120\n' | deepmind/math_dataset |
b'Suppose -36 = -4*j - 5*p, 5*p = -5*j + 65 - 20. What is the second derivative of 3*b**3 + b**3 + j*b**2 - 2*b**3 + 143*b - 22*b**2 wrt b?\n' | b'12*b - 26\n' | b'Suppose -36 = -4*j - 5*p, 5*p = -5*j + 65 - 20. What is the second derivative of 3*b**3 + b**3 + j*b**2 - 2*b**3 + 143*b - 22*b**2 wrt b?\n' | b'12*b - 26\n' | deepmind/math_dataset |
b'Calculate prob of sequence ccee when four letters picked without replacement from {c: 5, e: 2}.\n' | b'1/21\n' | b'Calculate prob of sequence ccee when four letters picked without replacement from {c: 5, e: 2}.\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify (r**(2/9)/r*r)/(r/(r*r**(-7)/r))*r**(-2/9)/(r**(-2/13)/r)*(r*(r*r**(-5)*r)/r*r**(-4))/(r/((r*r**1*r)/r))**(4/9) assuming r is positive.\n' | b'r**(-1568/117)\n' | b'Simplify (r**(2/9)/r*r)/(r/(r*r**(-7)/r))*r**(-2/9)/(r**(-2/13)/r)*(r*(r*r**(-5)*r)/r*r**(-4))/(r/((r*r**1*r)/r))**(4/9) assuming r is positive.\n' | b'r**(-1568/117)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from erpsesrser. Give prob of picking 2 r.\n' | b'1/15\n' | b'Two letters picked without replacement from erpsesrser. Give prob of picking 2 r.\n' | b'1/15\n' | deepmind/math_dataset |
b'What is prob of sequence njm when three letters picked without replacement from vzvnnzzzzjmzzmnnzn?\n' | b'5/2448\n' | b'What is prob of sequence njm when three letters picked without replacement from vzvnnzzzzjmzzmnnzn?\n' | b'5/2448\n' | deepmind/math_dataset |
b'Let b(f) = 9*f - f**2 - 1 + 3 - 10*f + 1. Give b(-4).\n' | b'-9\n' | b'Let b(f) = 9*f - f**2 - 1 + 3 - 10*f + 1. Give b(-4).\n' | b'-9\n' | deepmind/math_dataset |
b'Simplify (h**(2/13)*h/((h**(-4)*h)/h))/(((h*(h*h/(h/h**(-7)))/h)/h)/h**4) assuming h is positive.\n' | b'h**(210/13)\n' | b'Simplify (h**(2/13)*h/((h**(-4)*h)/h))/(((h*(h*h/(h/h**(-7)))/h)/h)/h**4) assuming h is positive.\n' | b'h**(210/13)\n' | deepmind/math_dataset |
b'Calculate prob of sequence xbx when three letters picked without replacement from {b: 3, x: 2}.\n' | b'1/10\n' | b'Calculate prob of sequence xbx when three letters picked without replacement from {b: 3, x: 2}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let i be -12 + -5 + 4 + 3969/294. Let g(p) be the second derivative of 0 - i*p**3 + 3/2*p**2 + 27*p. Give g(2).\n' | b'-3\n' | b'Let i be -12 + -5 + 4 + 3969/294. Let g(p) be the second derivative of 0 - i*p**3 + 3/2*p**2 + 27*p. Give g(2).\n' | b'-3\n' | deepmind/math_dataset |
b'Let u be (0 + (-9)/6)*-2. Let h(g) be the first derivative of 0*g**2 - 2/5*g**5 + 1/3*g**u + 0*g**4 + 1 + 0*g. What is the third derivative of h(w) wrt w?\n' | b'-48*w\n' | b'Let u be (0 + (-9)/6)*-2. Let h(g) be the first derivative of 0*g**2 - 2/5*g**5 + 1/3*g**u + 0*g**4 + 1 + 0*g. What is the third derivative of h(w) wrt w?\n' | b'-48*w\n' | deepmind/math_dataset |
b'Let c(h) = -9*h. Let o = 885 - 875. Determine c(o).\n' | b'-90\n' | b'Let c(h) = -9*h. Let o = 885 - 875. Determine c(o).\n' | b'-90\n' | deepmind/math_dataset |
b'Simplify ((v/((v**(2/27)/v)/v*v))/v*v*v**17)/((v/v**(-4))/v*(v*v**(-25)/v)/v) assuming v is positive.\n' | b'v**(1105/27)\n' | b'Simplify ((v/((v**(2/27)/v)/v*v))/v*v*v**17)/((v/v**(-4))/v*(v*v**(-25)/v)/v) assuming v is positive.\n' | b'v**(1105/27)\n' | deepmind/math_dataset |
b'Let w(x) = -70*x**2 + 28*x + 4. Let f(n) = 70*n**2 - 29*n - 3. Let s(m) = -4*f(m) - 3*w(m). What is the second derivative of s(d) wrt d?\n' | b'-140\n' | b'Let w(x) = -70*x**2 + 28*x + 4. Let f(n) = 70*n**2 - 29*n - 3. Let s(m) = -4*f(m) - 3*w(m). What is the second derivative of s(d) wrt d?\n' | b'-140\n' | deepmind/math_dataset |
b'Calculate prob of sequence gugg when four letters picked without replacement from gyyyguugggxyg.\n' | b'2/143\n' | b'Calculate prob of sequence gugg when four letters picked without replacement from gyyyguugggxyg.\n' | b'2/143\n' | deepmind/math_dataset |
b'Simplify (z*z*z/(z**(-2/7)*z)*z)**15/((z**(-1)/z)/z**(-1)) assuming z is positive.\n' | b'z**(352/7)\n' | b'Simplify (z*z*z/(z**(-2/7)*z)*z)**15/((z**(-1)/z)/z**(-1)) assuming z is positive.\n' | b'z**(352/7)\n' | deepmind/math_dataset |
b'Let j(a) be the third derivative of -a**5/60 + 5*a**4/12 - 11*a**3/6 - 3*a**2 - 25*a. Let l be j(8). Solve -4*y = -2*n + 26, l*y + 2*n = 3*y + 2 for y.\n' | b'-4\n' | b'Let j(a) be the third derivative of -a**5/60 + 5*a**4/12 - 11*a**3/6 - 3*a**2 - 25*a. Let l be j(8). Solve -4*y = -2*n + 26, l*y + 2*n = 3*y + 2 for y.\n' | b'-4\n' | deepmind/math_dataset |
b'Let v(u) = 28*u**2 + 181*u - 102. Let f be v(-7). Solve 25 = -f*l + 19, 3*t + 5*l = -10 for t.\n' | b'0\n' | b'Let v(u) = 28*u**2 + 181*u - 102. Let f be v(-7). Solve 25 = -f*l + 19, 3*t + 5*l = -10 for t.\n' | b'0\n' | deepmind/math_dataset |
b'Let a(w) = w + 2. Let d(b) = -13 - 2 - 4*b + 7*b - 4*b. Let o be d(-18). Give a(o).\n' | b'5\n' | b'Let a(w) = w + 2. Let d(b) = -13 - 2 - 4*b + 7*b - 4*b. Let o be d(-18). Give a(o).\n' | b'5\n' | deepmind/math_dataset |
b'Simplify s*s**(-1)*s/((s/s**(-2/47))/s)*(s/s**(2/9)*s)**(-43) assuming s is positive.\n' | b's**(-31931/423)\n' | b'Simplify s*s**(-1)*s/((s/s**(-2/47))/s)*(s/s**(2/9)*s)**(-43) assuming s is positive.\n' | b's**(-31931/423)\n' | deepmind/math_dataset |
b'Simplify ((z**(-1)*z)/(z/(z*(z/(z*((z*(z*z**(-4)*z)/z)/z)/z))/z))*(z**0)**(-27/5))/(z**(-5/2)*z**(2/7)/z)**(1/5) assuming z is positive.\n' | b'z**(51/14)\n' | b'Simplify ((z**(-1)*z)/(z/(z*(z/(z*((z*(z*z**(-4)*z)/z)/z)/z))/z))*(z**0)**(-27/5))/(z**(-5/2)*z**(2/7)/z)**(1/5) assuming z is positive.\n' | b'z**(51/14)\n' | deepmind/math_dataset |
b'Calculate prob of sequence aag when three letters picked without replacement from aigshaagahag.\n' | b'1/22\n' | b'Calculate prob of sequence aag when three letters picked without replacement from aigshaagahag.\n' | b'1/22\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 1, n: 4, h: 2, r: 2, f: 2, t: 3}. What is prob of picking 2 h and 1 r?\n' | b'1/182\n' | b'Three letters picked without replacement from {i: 1, n: 4, h: 2, r: 2, f: 2, t: 3}. What is prob of picking 2 h and 1 r?\n' | b'1/182\n' | deepmind/math_dataset |
b'Let d(m) be the second derivative of m**5/20 - m**4/6 - m**2/2 + 21*m. Let b be ((-102)/85)/(2/(-5)). Calculate d(b).\n' | b'8\n' | b'Let d(m) be the second derivative of m**5/20 - m**4/6 - m**2/2 + 21*m. Let b be ((-102)/85)/(2/(-5)). Calculate d(b).\n' | b'8\n' | deepmind/math_dataset |
b'Let x(f) be the first derivative of -719*f**5/5 + 6*f**2 + 23*f - 579. What is the second derivative of x(k) wrt k?\n' | b'-8628*k**2\n' | b'Let x(f) be the first derivative of -719*f**5/5 + 6*f**2 + 23*f - 579. What is the second derivative of x(k) wrt k?\n' | b'-8628*k**2\n' | deepmind/math_dataset |
b'Suppose 0 = -3*u - 6, u + 3 = 4*z + 13. Let x(q) = -3*q + 4. Calculate x(z).\n' | b'13\n' | b'Suppose 0 = -3*u - 6, u + 3 = 4*z + 13. Let x(q) = -3*q + 4. Calculate x(z).\n' | b'13\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r, 1 h, and 2 l when four letters picked without replacement from cylhhhchichhicrhyhl.\n' | b'2/969\n' | b'Calculate prob of picking 1 r, 1 h, and 2 l when four letters picked without replacement from cylhhhchichhicrhyhl.\n' | b'2/969\n' | deepmind/math_dataset |
b'Let w(c) = -3*c - 1. Let p be w(-2). Suppose 0 = h - p, 6*h = -k + 3*h + 34. Suppose -4*j + k = -1. Solve i - 4 = -4*q - 3, 0 = -j*i - 3*q - 12 for i.\n' | b'-3\n' | b'Let w(c) = -3*c - 1. Let p be w(-2). Suppose 0 = h - p, 6*h = -k + 3*h + 34. Suppose -4*j + k = -1. Solve i - 4 = -4*q - 3, 0 = -j*i - 3*q - 12 for i.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (n**3/n)/(n*n**5/n*n)*(n/n**(-4))/n*n/n**(-4/5)*n**(-7)/n*n/(n/(n*n**4*n))*(n**(-1)/n)**12 assuming n is positive.\n' | b'n**(-121/5)\n' | b'Simplify (n**3/n)/(n*n**5/n*n)*(n/n**(-4))/n*n/n**(-4/5)*n**(-7)/n*n/(n/(n*n**4*n))*(n**(-1)/n)**12 assuming n is positive.\n' | b'n**(-121/5)\n' | deepmind/math_dataset |
b'Let s(t) be the second derivative of -2*t**4/3 + 31*t**3/6 - 19*t**2/2 + 11024*t. Determine s(3).\n' | b'2\n' | b'Let s(t) be the second derivative of -2*t**4/3 + 31*t**3/6 - 19*t**2/2 + 11024*t. Determine s(3).\n' | b'2\n' | deepmind/math_dataset |
b'Let u be 13 + 1 + -4 + 4. Suppose -u = -m - 1. Let b = m + -16. Let t(r) = -r**2 - 4*r + 1. Give t(b).\n' | b'4\n' | b'Let u be 13 + 1 + -4 + 4. Suppose -u = -m - 1. Let b = m + -16. Let t(r) = -r**2 - 4*r + 1. Give t(b).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify s**27*s*s/((s*s**(-2/53)*s)/s*s) assuming s is positive.\n' | b's**(1433/53)\n' | b'Simplify s**27*s*s/((s*s**(-2/53)*s)/s*s) assuming s is positive.\n' | b's**(1433/53)\n' | deepmind/math_dataset |
b'Let h(q) = q**3 - q**2 - q - 2. Let s be h(2). Let m be (-4)/16*s - -2. What is the second derivative of f**m - f - f + 0*f + 0*f**2 wrt f?\n' | b'2\n' | b'Let h(q) = q**3 - q**2 - q - 2. Let s be h(2). Let m be (-4)/16*s - -2. What is the second derivative of f**m - f - f + 0*f + 0*f**2 wrt f?\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xxxyxxyyyyxyxxxuxx. What is prob of sequence yy?\n' | b'5/51\n' | b'Two letters picked without replacement from xxxyxxyyyyxyxxxuxx. What is prob of sequence yy?\n' | b'5/51\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 2, r: 4, f: 1, w: 3, q: 3, d: 6}. What is prob of sequence dfw?\n' | b'1/323\n' | b'Three letters picked without replacement from {s: 2, r: 4, f: 1, w: 3, q: 3, d: 6}. What is prob of sequence dfw?\n' | b'1/323\n' | deepmind/math_dataset |
b'Suppose t = -3*t + 4. Differentiate 9 - t - 6*k**2 - 9 wrt k.\n' | b'-12*k\n' | b'Suppose t = -3*t + 4. Differentiate 9 - t - 6*k**2 - 9 wrt k.\n' | b'-12*k\n' | deepmind/math_dataset |
b'What is prob of picking 3 o when three letters picked without replacement from oooooooooo?\n' | b'1\n' | b'What is prob of picking 3 o when three letters picked without replacement from oooooooooo?\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from vjjjjcvvc. What is prob of sequence cjvc?\n' | b'1/126\n' | b'Four letters picked without replacement from vjjjjcvvc. What is prob of sequence cjvc?\n' | b'1/126\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 4, k: 1, b: 1, t: 2, n: 1}. Give prob of sequence ttba.\n' | b'1/378\n' | b'Four letters picked without replacement from {a: 4, k: 1, b: 1, t: 2, n: 1}. Give prob of sequence ttba.\n' | b'1/378\n' | deepmind/math_dataset |
b'Simplify (((k**(-1/2)/(k*k**(-2/19)))/(k**(1/6)/k*k*k**6))**25)**24 assuming k is positive.\n' | b'k**(-86200/19)\n' | b'Simplify (((k**(-1/2)/(k*k**(-2/19)))/(k**(1/6)/k*k*k**6))**25)**24 assuming k is positive.\n' | b'k**(-86200/19)\n' | deepmind/math_dataset |
b'Simplify (h**(-5/6)*(h*h**(-11))/h*h)/(h*h**(-17)*h*h**2) assuming h is positive.\n' | b'h**(13/6)\n' | b'Simplify (h**(-5/6)*(h*h**(-11))/h*h)/(h*h**(-17)*h*h**2) assuming h is positive.\n' | b'h**(13/6)\n' | deepmind/math_dataset |
b'Simplify (((n/(((n*(((n/(n/((n*n**5)/n)))/n)/n)/n)/n)/n))/n)/n*n*n*n**(2/13)/n*n*n/(n/(n**0*n*n*n*n))*((n/n**6)/n)/n)**(-46) assuming n is positive.\n' | b'n**(1702/13)\n' | b'Simplify (((n/(((n*(((n/(n/((n*n**5)/n)))/n)/n)/n)/n)/n))/n)/n*n*n*n**(2/13)/n*n*n/(n/(n**0*n*n*n*n))*((n/n**6)/n)/n)**(-46) assuming n is positive.\n' | b'n**(1702/13)\n' | deepmind/math_dataset |
b'Let v = 8 + -5. Suppose 2*z = 23 + 7. Solve v*n + 9 = -5*f, -z = 3*f + 5*n - 0 for f.\n' | b'0\n' | b'Let v = 8 + -5. Suppose 2*z = 23 + 7. Solve v*n + 9 = -5*f, -z = 3*f + 5*n - 0 for f.\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {e: 5, y: 8}. Give prob of sequence eeyy.\n' | b'28/429\n' | b'Four letters picked without replacement from {e: 5, y: 8}. Give prob of sequence eeyy.\n' | b'28/429\n' | deepmind/math_dataset |
b'Simplify b*b**(-23)*b*b**22 assuming b is positive.\n' | b'b\n' | b'Simplify b*b**(-23)*b*b**22 assuming b is positive.\n' | b'b\n' | deepmind/math_dataset |
b'Suppose -3*m = -2*f - 8, 0 = m - 6*m - f - 4. Let a(o) = -o - 4*o**2 + 4*o**2 + 2 + m - o**2. Calculate a(-4).\n' | b'-10\n' | b'Suppose -3*m = -2*f - 8, 0 = m - 6*m - f - 4. Let a(o) = -o - 4*o**2 + 4*o**2 + 2 + m - o**2. Calculate a(-4).\n' | b'-10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from swttwbwvst. Give prob of picking 1 w and 1 t.\n' | b'1/5\n' | b'Two letters picked without replacement from swttwbwvst. Give prob of picking 1 w and 1 t.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let c be 345/(-21) + 16 + 3/7. Solve c = 3*b, -4*j - 5*b + 16 = -3*b for j.\n' | b'4\n' | b'Let c be 345/(-21) + 16 + 3/7. Solve c = 3*b, -4*j - 5*b + 16 = -3*b for j.\n' | b'4\n' | deepmind/math_dataset |
b'Let t = 79 + -74. Suppose -t*o + o = 2*v - 30, -3*o - 5*v = -5. Find the first derivative of 6*s**4 + o + 10 - 5 wrt s.\n' | b'24*s**3\n' | b'Let t = 79 + -74. Suppose -t*o + o = 2*v - 30, -3*o - 5*v = -5. Find the first derivative of 6*s**4 + o + 10 - 5 wrt s.\n' | b'24*s**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 2, x: 7, o: 5}. Give prob of picking 3 x and 1 o.\n' | b'25/143\n' | b'Four letters picked without replacement from {z: 2, x: 7, o: 5}. Give prob of picking 3 x and 1 o.\n' | b'25/143\n' | deepmind/math_dataset |
b'Let v = -5 - -8. Solve v*t = 2*g - 21, -t + 10 = 2*g + 3*g for t.\n' | b'-5\n' | b'Let v = -5 - -8. Solve v*t = 2*g - 21, -t + 10 = 2*g + 3*g for t.\n' | b'-5\n' | deepmind/math_dataset |
b'Let z(i) = -40*i**4 - 5*i + 47. Let s(q) = -q**4 - q - 1. Let f(k) = 6*s(k) - z(k). What is the first derivative of f(u) wrt u?\n' | b'136*u**3 - 1\n' | b'Let z(i) = -40*i**4 - 5*i + 47. Let s(q) = -q**4 - q - 1. Let f(k) = 6*s(k) - z(k). What is the first derivative of f(u) wrt u?\n' | b'136*u**3 - 1\n' | deepmind/math_dataset |
b'Simplify ((t/(t/t**6)*t*t**(1/8))**(-5/6))**(11/6) assuming t is positive.\n' | b't**(-1045/96)\n' | b'Simplify ((t/(t/t**6)*t*t**(1/8))**(-5/6))**(11/6) assuming t is positive.\n' | b't**(-1045/96)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mmmmgmgmmmmpumm. Give prob of sequence gp.\n' | b'1/105\n' | b'Two letters picked without replacement from mmmmgmgmmmmpumm. Give prob of sequence gp.\n' | b'1/105\n' | deepmind/math_dataset |
b'Let l(x) = x**3 - 4*x**2 + 5*x - 4. Let o be l(3). Suppose h - 2 = -3*p - 2*p, 4*p + 2 = -o*h. Solve 4*g = -3*s + 4, 3*g - p = 3*s + 2 for g.\n' | b'1\n' | b'Let l(x) = x**3 - 4*x**2 + 5*x - 4. Let o be l(3). Suppose h - 2 = -3*p - 2*p, 4*p + 2 = -o*h. Solve 4*g = -3*s + 4, 3*g - p = 3*s + 2 for g.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nvleolollnlow. Give prob of sequence ooe.\n' | b'1/286\n' | b'Three letters picked without replacement from nvleolollnlow. Give prob of sequence ooe.\n' | b'1/286\n' | deepmind/math_dataset |
b'Suppose 5*b + 4*v - 88 = 0, -2*v + 0 = 6. Suppose 7*x - b = 2*x. Let p(q) = 3*q + 0*q - x*q - 2 + 2*q. Give p(-4).\n' | b'-6\n' | b'Suppose 5*b + 4*v - 88 = 0, -2*v + 0 = 6. Suppose 7*x - b = 2*x. Let p(q) = 3*q + 0*q - x*q - 2 + 2*q. Give p(-4).\n' | b'-6\n' | deepmind/math_dataset |
b'Let v = 6 - -1. Let p = 5580 + -5580. Solve -l + 2 = -a, -4*a + l + v = -p*a for a.\n' | b'3\n' | b'Let v = 6 - -1. Let p = 5580 + -5580. Solve -l + 2 = -a, -4*a + l + v = -p*a for a.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -5*q = 11 - 46. Find the second derivative of 0*w - q*w + 3*w**3 + 4*w**3 wrt w.\n' | b'42*w\n' | b'Suppose -5*q = 11 - 46. Find the second derivative of 0*w - q*w + 3*w**3 + 4*w**3 wrt w.\n' | b'42*w\n' | deepmind/math_dataset |
b'Calculate prob of sequence vgg when three letters picked without replacement from ggggggvgggggv.\n' | b'5/39\n' | b'Calculate prob of sequence vgg when three letters picked without replacement from ggggggvgggggv.\n' | b'5/39\n' | deepmind/math_dataset |
b'Let f = -8 - -12. Let z be -2 - -5 - 10/(-5). Suppose -z*o = 11*o - 21*o. Solve o = t - 4*t - q - 1, -2*q - 2 = f*t for t.\n' | b'0\n' | b'Let f = -8 - -12. Let z be -2 - -5 - 10/(-5). Suppose -z*o = 11*o - 21*o. Solve o = t - 4*t - q - 1, -2*q - 2 = f*t for t.\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from dsmjmdl. Give prob of sequence jddm.\n' | b'1/210\n' | b'Four letters picked without replacement from dsmjmdl. Give prob of sequence jddm.\n' | b'1/210\n' | deepmind/math_dataset |
b'Let l(s) = -2*s + 1. Let x be l(-7). Let y(p) = p**3 - 4*p**2 + p - 1. Let h be y(4). Let w be 5*(-2 + h + 0). Solve 4*j + k + 15 = 2*j, w*j - 2*k = -x for j.\n' | b'-5\n' | b'Let l(s) = -2*s + 1. Let x be l(-7). Let y(p) = p**3 - 4*p**2 + p - 1. Let h be y(4). Let w be 5*(-2 + h + 0). Solve 4*j + k + 15 = 2*j, w*j - 2*k = -x for j.\n' | b'-5\n' | deepmind/math_dataset |
b'Let q(a) = -a - 1. Let k(u) = 5*u**2 + 3*u + 2. Let y(n) = -k(n) - 2*q(n). Calculate y(-1).\n' | b'-4\n' | b'Let q(a) = -a - 1. Let k(u) = 5*u**2 + 3*u + 2. Let y(n) = -k(n) - 2*q(n). Calculate y(-1).\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nnnexnnrc. What is prob of sequence er?\n' | b'1/72\n' | b'Two letters picked without replacement from nnnexnnrc. What is prob of sequence er?\n' | b'1/72\n' | deepmind/math_dataset |
b'Suppose -2*t = 3*m, 2*m = -0*m - t + 1. Suppose m*s - 5 = -1. Let w(x) be the first derivative of x**2/2 + x - 1. Give w(s).\n' | b'3\n' | b'Suppose -2*t = 3*m, 2*m = -0*m - t + 1. Suppose m*s - 5 = -1. Let w(x) be the first derivative of x**2/2 + x - 1. Give w(s).\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (((g**(2/7)/g)/g)/(g*g/(g*g**(1/20))))/((g/(g/g**(-3)*g))/g*g*g*(g/(g**(1/6)/g*g)*g)/g) assuming g is positive.\n' | b'g**(-209/420)\n' | b'Simplify (((g**(2/7)/g)/g)/(g*g/(g*g**(1/20))))/((g/(g/g**(-3)*g))/g*g*g*(g/(g**(1/6)/g*g)*g)/g) assuming g is positive.\n' | b'g**(-209/420)\n' | deepmind/math_dataset |
b'Let q(c) = 12*c + 12. Let r be q(-1). Suppose r = -11*n + 13 + 185. Solve 3*s - o = n, -3*o - 7 - 2 = 0 for s.\n' | b'5\n' | b'Let q(c) = 12*c + 12. Let r be q(-1). Suppose r = -11*n + 13 + 185. Solve 3*s - o = n, -3*o - 7 - 2 = 0 for s.\n' | b'5\n' | deepmind/math_dataset |
b'Let p = 73 + -51. Suppose -72 = -2*r - 4*g, 4*g - 116 = -4*r + 16. Suppose r = -5*d + 8*d. Solve d = -3*j + 3*i - 7*i, 5*j - p = 3*i for j.\n' | b'2\n' | b'Let p = 73 + -51. Suppose -72 = -2*r - 4*g, 4*g - 116 = -4*r + 16. Suppose r = -5*d + 8*d. Solve d = -3*j + 3*i - 7*i, 5*j - p = 3*i for j.\n' | b'2\n' | deepmind/math_dataset |
b'Let d(w) be the second derivative of -13*w**6/30 + w**4 - 35*w. Find the third derivative of d(c) wrt c.\n' | b'-312*c\n' | b'Let d(w) be the second derivative of -13*w**6/30 + w**4 - 35*w. Find the third derivative of d(c) wrt c.\n' | b'-312*c\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 11, c: 5}. What is prob of sequence cvc?\n' | b'11/168\n' | b'Three letters picked without replacement from {v: 11, c: 5}. What is prob of sequence cvc?\n' | b'11/168\n' | deepmind/math_dataset |
b'What is prob of picking 4 e when four letters picked without replacement from {e: 7, p: 7}?\n' | b'5/143\n' | b'What is prob of picking 4 e when four letters picked without replacement from {e: 7, p: 7}?\n' | b'5/143\n' | deepmind/math_dataset |
b'Calculate prob of sequence aw when two letters picked without replacement from uaahuuawawruaaar.\n' | b'7/120\n' | b'Calculate prob of sequence aw when two letters picked without replacement from uaahuuawawruaaar.\n' | b'7/120\n' | deepmind/math_dataset |
b'Let c be 4/(-6 - (-170)/25) + -1. Solve -5*k = -3*l + 8, 4*k = -c*l + k - 28 for l.\n' | b'-4\n' | b'Let c be 4/(-6 - (-170)/25) + -1. Solve -5*k = -3*l + 8, 4*k = -c*l + k - 28 for l.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence lfdd when four letters picked without replacement from dfdlfdd.\n' | b'1/35\n' | b'Calculate prob of sequence lfdd when four letters picked without replacement from dfdlfdd.\n' | b'1/35\n' | deepmind/math_dataset |
b'Let q(g) = -4*g**2 - 6*g + 5. Let j be q(1). Let z be (j - -19)/(6/21). What is the second derivative of -17*b**3 + b + z*b**3 + 9*b wrt b?\n' | b'192*b\n' | b'Let q(g) = -4*g**2 - 6*g + 5. Let j be q(1). Let z be (j - -19)/(6/21). What is the second derivative of -17*b**3 + b + z*b**3 + 9*b wrt b?\n' | b'192*b\n' | deepmind/math_dataset |
b'Let w(d) be the second derivative of 37/3*d**4 + 94*d + 0 + 0*d**3 - 87*d**2. Differentiate w(q) with respect to q.\n' | b'296*q\n' | b'Let w(d) be the second derivative of 37/3*d**4 + 94*d + 0 + 0*d**3 - 87*d**2. Differentiate w(q) with respect to q.\n' | b'296*q\n' | deepmind/math_dataset |
b'Let a(c) = 14*c - 16. Let s be a(4). Suppose -44*b = -s*b - 8. Let l be 4/6 + (-2)/(-6). Solve -29 = -4*p + 3*v, -b*v - l = -p + 2*p for p.\n' | b'5\n' | b'Let a(c) = 14*c - 16. Let s be a(4). Suppose -44*b = -s*b - 8. Let l be 4/6 + (-2)/(-6). Solve -29 = -4*p + 3*v, -b*v - l = -p + 2*p for p.\n' | b'5\n' | deepmind/math_dataset |
b'Let c(r) be the third derivative of -r**6/720 + 13*r**5/60 - 17*r**4/24 - 22*r**2. Let x(u) be the second derivative of c(u). Calculate x(0).\n' | b'26\n' | b'Let c(r) be the third derivative of -r**6/720 + 13*r**5/60 - 17*r**4/24 - 22*r**2. Let x(u) be the second derivative of c(u). Calculate x(0).\n' | b'26\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {n: 2, o: 4, l: 3, j: 1, i: 1, v: 1}. Give prob of sequence jovl.\n' | b'1/990\n' | b'Four letters picked without replacement from {n: 2, o: 4, l: 3, j: 1, i: 1, v: 1}. Give prob of sequence jovl.\n' | b'1/990\n' | deepmind/math_dataset |
b'Suppose 2*v - 6 - 4 = 0. Let f(r) be the first derivative of -1 + r + 4/3*r**3 - 1/4*r**4 + 3*r**2. Determine f(v).\n' | b'6\n' | b'Suppose 2*v - 6 - 4 = 0. Let f(r) be the first derivative of -1 + r + 4/3*r**3 - 1/4*r**4 + 3*r**2. Determine f(v).\n' | b'6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wwuzw. Give prob of sequence wuzw.\n' | b'1/20\n' | b'Four letters picked without replacement from wwuzw. Give prob of sequence wuzw.\n' | b'1/20\n' | deepmind/math_dataset |
b'Simplify ((t*t**(-4/3)*t/(t*t*t**(2/9)/t*t))**(2/5))**35 assuming t is positive.\n' | b't**(-196/9)\n' | b'Simplify ((t*t**(-4/3)*t/(t*t*t**(2/9)/t*t))**(2/5))**35 assuming t is positive.\n' | b't**(-196/9)\n' | deepmind/math_dataset |
b'Let u = -578 + 580. Solve -2*t = a + 7, t - 7 - 2 = u*a for a.\n' | b'-5\n' | b'Let u = -578 + 580. Solve -2*t = a + 7, t - 7 - 2 = u*a for a.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of picking 3 h when three letters picked without replacement from {h: 6, u: 4}?\n' | b'1/6\n' | b'What is prob of picking 3 h when three letters picked without replacement from {h: 6, u: 4}?\n' | b'1/6\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j and 1 e when two letters picked without replacement from njjbnbnbneb.\n' | b'2/55\n' | b'Calculate prob of picking 1 j and 1 e when two letters picked without replacement from njjbnbnbneb.\n' | b'2/55\n' | deepmind/math_dataset |
b'Suppose 2*z + 0 = 4. Suppose -2*j - 12 = 2*j - 4*v, z*v - 11 = -3*j. Let y be -6*2/(-6 + 0). Solve j = u - 2*p, y = 3*p - 4*p for u.\n' | b'-3\n' | b'Suppose 2*z + 0 = 4. Suppose -2*j - 12 = 2*j - 4*v, z*v - 11 = -3*j. Let y be -6*2/(-6 + 0). Solve j = u - 2*p, y = 3*p - 4*p for u.\n' | b'-3\n' | deepmind/math_dataset |
b'Let f(h) = -h - 6. Let g be f(-9). Solve -2*s = -4*p - 15 + 3, 5*p = g*s - 16 for s.\n' | b'2\n' | b'Let f(h) = -h - 6. Let g be f(-9). Solve -2*s = -4*p - 15 + 3, 5*p = g*s - 16 for s.\n' | b'2\n' | deepmind/math_dataset |
b'Let q(o) = o - 1. Let f(y) = -2*y. Let k(x) = 5*f(x) + 35*q(x). Differentiate k(z) wrt z.\n' | b'25\n' | b'Let q(o) = o - 1. Let f(y) = -2*y. Let k(x) = 5*f(x) + 35*q(x). Differentiate k(z) wrt z.\n' | b'25\n' | deepmind/math_dataset |
b'Let f = -5987 - -5993. Let g(c) = -5*c + 41. Give g(f).\n' | b'11\n' | b'Let f = -5987 - -5993. Let g(c) = -5*c + 41. Give g(f).\n' | b'11\n' | deepmind/math_dataset |
b'Let k be 6/27 - 536/(-18). What is the second derivative of -k*l**5 + 4*l - 22*l**4 + 51*l**4 - 29*l**4 wrt l?\n' | b'-600*l**3\n' | b'Let k be 6/27 - 536/(-18). What is the second derivative of -k*l**5 + 4*l - 22*l**4 + 51*l**4 - 29*l**4 wrt l?\n' | b'-600*l**3\n' | deepmind/math_dataset |
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