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 (((f/(f/(f*f**(-2/5)/f)))**(-2/5))**(6/7))**(-15/4) assuming f is positive.\n' | b'f**(-18/35)\n' | b'Simplify (((f/(f/(f*f**(-2/5)/f)))**(-2/5))**(6/7))**(-15/4) assuming f is positive.\n' | b'f**(-18/35)\n' | deepmind/math_dataset |
b'Let g = -60 - -55. Let a(y) = y - 3. Let w(k) = -3*k + 7. Let c(b) = g*a(b) - 2*w(b). Let m = -15 + 11. Calculate c(m).\n' | b'-3\n' | b'Let g = -60 - -55. Let a(y) = y - 3. Let w(k) = -3*k + 7. Let c(b) = g*a(b) - 2*w(b). Let m = -15 + 11. Calculate c(m).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((y/(y**(-2/7)/y)*y*y)**(-32)/(y**(4/7)*y*y**5/y))/((y**1)**(-2/7)/(((y/((y**2/y)/y)*y)/y)/y**(-3))) assuming y is positive.\n' | b'y**(-969/7)\n' | b'Simplify ((y/(y**(-2/7)/y)*y*y)**(-32)/(y**(4/7)*y*y**5/y))/((y**1)**(-2/7)/(((y/((y**2/y)/y)*y)/y)/y**(-3))) assuming y is positive.\n' | b'y**(-969/7)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from uswwwwwwwgswwgswwgs. Give prob of picking 2 s and 1 u.\n' | b'2/323\n' | b'Three letters picked without replacement from uswwwwwwwgswwgswwgs. Give prob of picking 2 s and 1 u.\n' | b'2/323\n' | deepmind/math_dataset |
b'Let y(f) = -f**2 + 3. Let w(l) = -3 + 4 - 2 - l. Let s be w(2). Give y(s).\n' | b'-6\n' | b'Let y(f) = -f**2 + 3. Let w(l) = -3 + 4 - 2 - l. Let s be w(2). Give y(s).\n' | b'-6\n' | deepmind/math_dataset |
b'Let p(q) be the first derivative of 8*q - 3/2*q**2 - 1/3*q**3 - 132. What is p(-5)?\n' | b'-2\n' | b'Let p(q) be the first derivative of 8*q - 3/2*q**2 - 1/3*q**3 - 132. What is p(-5)?\n' | b'-2\n' | deepmind/math_dataset |
b'Let y(w) = w**3 - 4*w**2 + 5. Let u be y(4). Find the second derivative of 0*g + 10*g + 16*g**4 - 6*g + u*g wrt g.\n' | b'192*g**2\n' | b'Let y(w) = w**3 - 4*w**2 + 5. Let u be y(4). Find the second derivative of 0*g + 10*g + 16*g**4 - 6*g + u*g wrt g.\n' | b'192*g**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 2, j: 3}. Give prob of sequence jb.\n' | b'3/10\n' | b'Two letters picked without replacement from {b: 2, j: 3}. Give prob of sequence jb.\n' | b'3/10\n' | deepmind/math_dataset |
b'Simplify (((t**5*t)/(t/((t/t**4)/t)))/(t*t/((t/t**0)/t))**4)/((t**(1/4))**(-2/17))**(2/115) assuming t is positive.\n' | b't**(-13684/1955)\n' | b'Simplify (((t**5*t)/(t/((t/t**4)/t)))/(t*t/((t/t**0)/t))**4)/((t**(1/4))**(-2/17))**(2/115) assuming t is positive.\n' | b't**(-13684/1955)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 12, u: 6}. What is prob of picking 2 u?\n' | b'5/51\n' | b'Two letters picked without replacement from {r: 12, u: 6}. What is prob of picking 2 u?\n' | b'5/51\n' | deepmind/math_dataset |
b'Simplify (m**(2/15)/m*m**(-3))/(m/(m/(m**(2/3)*m)*m))**(1/32) assuming m is positive.\n' | b'm**(-311/80)\n' | b'Simplify (m**(2/15)/m*m**(-3))/(m/(m/(m**(2/3)*m)*m))**(1/32) assuming m is positive.\n' | b'm**(-311/80)\n' | deepmind/math_dataset |
b'What is prob of sequence sfsz when four letters picked without replacement from ssbtftzsfttststsbb?\n' | b'1/1224\n' | b'What is prob of sequence sfsz when four letters picked without replacement from ssbtftzsfttststsbb?\n' | b'1/1224\n' | deepmind/math_dataset |
b'What is prob of sequence rrg when three letters picked without replacement from {r: 4, g: 3}?\n' | b'6/35\n' | b'What is prob of sequence rrg when three letters picked without replacement from {r: 4, g: 3}?\n' | b'6/35\n' | deepmind/math_dataset |
b'Suppose 0*v - 30 = 5*v + u, -20 = 2*v + 2*u. Let f(o) = o**3 + 5*o**2 + 1. Let y be f(v). Find the first derivative of y - 2*d**3 - 2*d + 2*d wrt d.\n' | b'-6*d**2\n' | b'Suppose 0*v - 30 = 5*v + u, -20 = 2*v + 2*u. Let f(o) = o**3 + 5*o**2 + 1. Let y be f(v). Find the first derivative of y - 2*d**3 - 2*d + 2*d wrt d.\n' | b'-6*d**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 1, d: 1, a: 2, y: 2, k: 2, m: 4}. Give prob of sequence akdy.\n' | b'1/1485\n' | b'Four letters picked without replacement from {z: 1, d: 1, a: 2, y: 2, k: 2, m: 4}. Give prob of sequence akdy.\n' | b'1/1485\n' | deepmind/math_dataset |
b'Find the third derivative of -54*l**3 - 132*l**2 + 216*l**2 - 146*l**3 wrt l.\n' | b'-1200\n' | b'Find the third derivative of -54*l**3 - 132*l**2 + 216*l**2 - 146*l**3 wrt l.\n' | b'-1200\n' | deepmind/math_dataset |
b'Let k(l) be the third derivative of -7*l**5/30 + 33*l**2. What is k(-1)?\n' | b'-14\n' | b'Let k(l) be the third derivative of -7*l**5/30 + 33*l**2. What is k(-1)?\n' | b'-14\n' | deepmind/math_dataset |
b'Suppose -4*h = -o - 10 - 3, 3*h - o - 9 = 0. Suppose 2*i + 3 = -1. Let c be (-182)/(-39) - i/(-3). Solve 5*l + 2*a + 0*a = c, -2*a = h*l - 4 for l.\n' | b'0\n' | b'Suppose -4*h = -o - 10 - 3, 3*h - o - 9 = 0. Suppose 2*i + 3 = -1. Let c be (-182)/(-39) - i/(-3). Solve 5*l + 2*a + 0*a = c, -2*a = h*l - 4 for l.\n' | b'0\n' | deepmind/math_dataset |
b'Let u(j) = j**3 - 4*j**2 - 14*j + 15. Let y be u(6). Suppose 2*g - 8 - 8 = 0. Find the second derivative of -4*h + g*h - 9*h**3 + h**y wrt h.\n' | b'-48*h\n' | b'Let u(j) = j**3 - 4*j**2 - 14*j + 15. Let y be u(6). Suppose 2*g - 8 - 8 = 0. Find the second derivative of -4*h + g*h - 9*h**3 + h**y wrt h.\n' | b'-48*h\n' | deepmind/math_dataset |
b'Simplify (f**(-1/4)*f**(-1/8))**(1/76)/((f**(-2/9)*f)**38/((f*f**(1/2))/f**(-3))) assuming f is positive.\n' | b'f**(-137131/5472)\n' | b'Simplify (f**(-1/4)*f**(-1/8))**(1/76)/((f**(-2/9)*f)**38/((f*f**(1/2))/f**(-3))) assuming f is positive.\n' | b'f**(-137131/5472)\n' | deepmind/math_dataset |
b'What is prob of sequence tth when three letters picked without replacement from {h: 13, t: 6}?\n' | b'65/969\n' | b'What is prob of sequence tth when three letters picked without replacement from {h: 13, t: 6}?\n' | b'65/969\n' | deepmind/math_dataset |
b'What is prob of picking 1 p, 1 d, and 1 t when three letters picked without replacement from {d: 2, i: 1, p: 1, t: 1}?\n' | b'1/5\n' | b'What is prob of picking 1 p, 1 d, and 1 t when three letters picked without replacement from {d: 2, i: 1, p: 1, t: 1}?\n' | b'1/5\n' | deepmind/math_dataset |
b'Let k be 4/(-10) - (-88)/20. What is the derivative of 4*x**3 - 14 - 2*x**3 - k*x**3 + 6 wrt x?\n' | b'-6*x**2\n' | b'Let k be 4/(-10) - (-88)/20. What is the derivative of 4*x**3 - 14 - 2*x**3 - k*x**3 + 6 wrt x?\n' | b'-6*x**2\n' | deepmind/math_dataset |
b'Suppose -3*p + 2*t - 4*t + 40 = 0, 0 = 3*t + 3. Let z(a) = a**2 - 15*a - 1. Give z(p).\n' | b'-15\n' | b'Suppose -3*p + 2*t - 4*t + 40 = 0, 0 = 3*t + 3. Let z(a) = a**2 - 15*a - 1. Give z(p).\n' | b'-15\n' | deepmind/math_dataset |
b'Simplify ((z*z/z**(-5))/(z/(((((z*z/z**(2/5))/z)/z)/z)/z))*z**(-2/9)*z**(2/11))/(z**0/(z**(-1)/z*z))**(2/33) assuming z is positive.\n' | b'z**(1732/495)\n' | b'Simplify ((z*z/z**(-5))/(z/(((((z*z/z**(2/5))/z)/z)/z)/z))*z**(-2/9)*z**(2/11))/(z**0/(z**(-1)/z*z))**(2/33) assuming z is positive.\n' | b'z**(1732/495)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from csscssssscssssssss. What is prob of sequence scc?\n' | b'5/272\n' | b'Three letters picked without replacement from csscssssscssssssss. What is prob of sequence scc?\n' | b'5/272\n' | deepmind/math_dataset |
b'Let z be (6 - 26)*-1*1. Suppose 0 = -5*q + 5*b + z, 0 = -0*b - 4*b - 4. Differentiate 4 - 2 + 7 + q*x - 4 wrt x.\n' | b'3\n' | b'Let z be (6 - 26)*-1*1. Suppose 0 = -5*q + 5*b + z, 0 = -0*b - 4*b - 4. Differentiate 4 - 2 + 7 + q*x - 4 wrt x.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 9, e: 1, y: 1, p: 5}. Give prob of picking 1 e and 1 p.\n' | b'1/24\n' | b'Two letters picked without replacement from {z: 9, e: 1, y: 1, p: 5}. Give prob of picking 1 e and 1 p.\n' | b'1/24\n' | deepmind/math_dataset |
b'What is the second derivative of 762*s + 632*s - 208*s**4 + 381*s + 567*s**4 wrt s?\n' | b'4308*s**2\n' | b'What is the second derivative of 762*s + 632*s - 208*s**4 + 381*s + 567*s**4 wrt s?\n' | b'4308*s**2\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 1 v when two letters picked without replacement from {j: 1, x: 2, v: 1, l: 1, e: 3, t: 3}?\n' | b'3/55\n' | b'What is prob of picking 1 e and 1 v when two letters picked without replacement from {j: 1, x: 2, v: 1, l: 1, e: 3, t: 3}?\n' | b'3/55\n' | deepmind/math_dataset |
b'Four letters picked without replacement from pppupufupppfup. What is prob of sequence pppf?\n' | b'4/143\n' | b'Four letters picked without replacement from pppupufupppfup. What is prob of sequence pppf?\n' | b'4/143\n' | deepmind/math_dataset |
b'Calculate prob of sequence gfqf when four letters picked without replacement from {f: 4, y: 4, g: 5, q: 2, w: 2}.\n' | b'1/476\n' | b'Calculate prob of sequence gfqf when four letters picked without replacement from {f: 4, y: 4, g: 5, q: 2, w: 2}.\n' | b'1/476\n' | deepmind/math_dataset |
b'Suppose -2*n + 10 = 0, 3*r - 3 = 3*n - 0. What is the third derivative of 3*c**2 - 4*c**r + 6*c**2 - 5*c**2 wrt c?\n' | b'-480*c**3\n' | b'Suppose -2*n + 10 = 0, 3*r - 3 = 3*n - 0. What is the third derivative of 3*c**2 - 4*c**r + 6*c**2 - 5*c**2 wrt c?\n' | b'-480*c**3\n' | deepmind/math_dataset |
b'Simplify (i/((i**7*i)/i)*i)**48*(i*(i*i**(-1/12))/i)/i**16 assuming i is positive.\n' | b'i**(-3061/12)\n' | b'Simplify (i/((i**7*i)/i)*i)**48*(i*(i*i**(-1/12))/i)/i**16 assuming i is positive.\n' | b'i**(-3061/12)\n' | deepmind/math_dataset |
b'Calculate prob of sequence jpqd when four letters picked without replacement from rprrqdrdjdrrqdrq.\n' | b'1/3640\n' | b'Calculate prob of sequence jpqd when four letters picked without replacement from rprrqdrdjdrrqdrq.\n' | b'1/3640\n' | deepmind/math_dataset |
b'What is prob of sequence dndn when four letters picked without replacement from ddnnnn?\n' | b'1/15\n' | b'What is prob of sequence dndn when four letters picked without replacement from ddnnnn?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let d be ((-168)/40)/((-16)/5 - -3). Solve -d = -3*o + m + 3*m, 5*o - 3*m - 24 = 0 for o.\n' | b'3\n' | b'Let d be ((-168)/40)/((-16)/5 - -3). Solve -d = -3*o + m + 3*m, 5*o - 3*m - 24 = 0 for o.\n' | b'3\n' | deepmind/math_dataset |
b'Let m(r) = -2*r. Let b(g) = 0 + 22*g - 1 + 3 - 1. Let w(k) = -b(k) + 5*m(k). Differentiate w(h) wrt h.\n' | b'-32\n' | b'Let m(r) = -2*r. Let b(g) = 0 + 22*g - 1 + 3 - 1. Let w(k) = -b(k) + 5*m(k). Differentiate w(h) wrt h.\n' | b'-32\n' | deepmind/math_dataset |
b'Three letters picked without replacement from lollglgmdodoolgloll. What is prob of picking 1 o, 1 g, and 1 m?\n' | b'5/323\n' | b'Three letters picked without replacement from lollglgmdodoolgloll. What is prob of picking 1 o, 1 g, and 1 m?\n' | b'5/323\n' | deepmind/math_dataset |
b'Suppose 35*f - 100 = 6*f - 709. Let x(j) = -j**3 - 18*j**2 + 61*j - 49. Give x(f).\n' | b'-7\n' | b'Suppose 35*f - 100 = 6*f - 709. Let x(j) = -j**3 - 18*j**2 + 61*j - 49. Give x(f).\n' | b'-7\n' | deepmind/math_dataset |
b'Suppose -4*t = -5*s - 4 + 8, -4*s = 5*t - 36. Solve -t*k + 4 = 0, -2*x - 11 = 6*k - 11*k for x.\n' | b'-3\n' | b'Suppose -4*t = -5*s - 4 + 8, -4*s = 5*t - 36. Solve -t*k + 4 = 0, -2*x - 11 = 6*k - 11*k for x.\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from sspppspksps. What is prob of picking 3 s and 1 k?\n' | b'1/33\n' | b'Four letters picked without replacement from sspppspksps. What is prob of picking 3 s and 1 k?\n' | b'1/33\n' | deepmind/math_dataset |
b'Calculate prob of sequence ujjk when four letters picked without replacement from joowjwkjqwwwouu.\n' | b'1/2730\n' | b'Calculate prob of sequence ujjk when four letters picked without replacement from joowjwkjqwwwouu.\n' | b'1/2730\n' | deepmind/math_dataset |
b'Suppose -z = q, z + 0*z = 2*q - 3. Let h = q - 1. Suppose h = 4*k - k - 24. Solve 0*f = 4*j + 2*f - k, -j + 2*f = -7 for j.\n' | b'3\n' | b'Suppose -z = q, z + 0*z = 2*q - 3. Let h = q - 1. Suppose h = 4*k - k - 24. Solve 0*f = 4*j + 2*f - k, -j + 2*f = -7 for j.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of picking 2 f and 1 e when three letters picked without replacement from {t: 4, e: 5, f: 8}?\n' | b'7/34\n' | b'What is prob of picking 2 f and 1 e when three letters picked without replacement from {t: 4, e: 5, f: 8}?\n' | b'7/34\n' | deepmind/math_dataset |
b'Let u(h) = -150*h - 4923. Let r be u(-33). Let n(j) = 4*j - 99. What is n(r)?\n' | b'9\n' | b'Let u(h) = -150*h - 4923. Let r be u(-33). Let n(j) = 4*j - 99. What is n(r)?\n' | b'9\n' | deepmind/math_dataset |
b'Simplify (l**(-29)/l**31)**21 assuming l is positive.\n' | b'l**(-1260)\n' | b'Simplify (l**(-29)/l**31)**21 assuming l is positive.\n' | b'l**(-1260)\n' | deepmind/math_dataset |
b'Suppose -3*f = 9, 0 = -0*g - 5*g - 5*f - 20. Let i be 2 - g/(-3)*-3. What is the derivative of i + 4 - 2 - 12*k**3 wrt k?\n' | b'-36*k**2\n' | b'Suppose -3*f = 9, 0 = -0*g - 5*g - 5*f - 20. Let i be 2 - g/(-3)*-3. What is the derivative of i + 4 - 2 - 12*k**3 wrt k?\n' | b'-36*k**2\n' | deepmind/math_dataset |
b'Simplify (y**(5/4)*y*y*y*y**(-2/7))/(y**8/(y/y**(5/2)))*(y**1/y)**(-2/51)/(y**(5/2)*y/((y*y**(1/8))/y)) assuming y is positive.\n' | b'y**(-499/56)\n' | b'Simplify (y**(5/4)*y*y*y*y**(-2/7))/(y**8/(y/y**(5/2)))*(y**1/y)**(-2/51)/(y**(5/2)*y/((y*y**(1/8))/y)) assuming y is positive.\n' | b'y**(-499/56)\n' | deepmind/math_dataset |
b'Let t be (-4)/(-1 - (-20)/12). Let j(v) = -v - 4. Let p be j(t). Suppose -3*b + y = -16, -b + 2*y + 3 = -4. Solve -a = b*u - 3*a + 33, p = -2*u - 2*a for u.\n' | b'-5\n' | b'Let t be (-4)/(-1 - (-20)/12). Let j(v) = -v - 4. Let p be j(t). Suppose -3*b + y = -16, -b + 2*y + 3 = -4. Solve -a = b*u - 3*a + 33, p = -2*u - 2*a for u.\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xeeiiiilieileiia. What is prob of picking 1 x and 3 i?\n' | b'2/65\n' | b'Four letters picked without replacement from xeeiiiilieileiia. What is prob of picking 1 x and 3 i?\n' | b'2/65\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 1, e: 3, u: 1, j: 5, t: 4}. What is prob of picking 1 t and 1 u?\n' | b'4/91\n' | b'Two letters picked without replacement from {y: 1, e: 3, u: 1, j: 5, t: 4}. What is prob of picking 1 t and 1 u?\n' | b'4/91\n' | deepmind/math_dataset |
b'Suppose 4*s + 45 = s. Let z(l) = -l**3 - 48*l**2 - 91*l + 26. Let x be z(-46). Let v = s - x. Solve 3*m - 4*m - 3*t - 11 = 0, 5*m + 5*t + v = 0 for m.\n' | b'4\n' | b'Suppose 4*s + 45 = s. Let z(l) = -l**3 - 48*l**2 - 91*l + 26. Let x be z(-46). Let v = s - x. Solve 3*m - 4*m - 3*t - 11 = 0, 5*m + 5*t + v = 0 for m.\n' | b'4\n' | deepmind/math_dataset |
b'Let i be ((-21)/(-28))/((-2)/(-8)). Let s = -13 + i. Let j(y) = y + 14. Let p be j(s). Solve -l - 4*m + 17 = 0, p*l - 5*m = -l + 10 for l.\n' | b'5\n' | b'Let i be ((-21)/(-28))/((-2)/(-8)). Let s = -13 + i. Let j(y) = y + 14. Let p be j(s). Solve -l - 4*m + 17 = 0, p*l - 5*m = -l + 10 for l.\n' | b'5\n' | deepmind/math_dataset |
b'Let v(a) be the third derivative of 3*a**7/70 - 11*a**5/20 - 26*a**2. Find the third derivative of v(r) wrt r.\n' | b'216*r\n' | b'Let v(a) be the third derivative of 3*a**7/70 - 11*a**5/20 - 26*a**2. Find the third derivative of v(r) wrt r.\n' | b'216*r\n' | deepmind/math_dataset |
b'Two letters picked without replacement from pmdzmhhzmzxmzxh. Give prob of sequence hp.\n' | b'1/70\n' | b'Two letters picked without replacement from pmdzmhhzmzxmzxh. Give prob of sequence hp.\n' | b'1/70\n' | deepmind/math_dataset |
b'What is prob of sequence ll when two letters picked without replacement from wol?\n' | b'0\n' | b'What is prob of sequence ll when two letters picked without replacement from wol?\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {k: 5, x: 7, m: 2}. What is prob of picking 1 x, 1 k, and 2 m?\n' | b'5/143\n' | b'Four letters picked without replacement from {k: 5, x: 7, m: 2}. What is prob of picking 1 x, 1 k, and 2 m?\n' | b'5/143\n' | deepmind/math_dataset |
b'Let h(i) = 22 + 4*i + i**2 + 18 - 42. Calculate h(-4).\n' | b'-2\n' | b'Let h(i) = 22 + 4*i + i**2 + 18 - 42. Calculate h(-4).\n' | b'-2\n' | deepmind/math_dataset |
b'Let y(i) = -2*i**3 + 42*i**2 - 111*i + 77. Let g be y(18). Solve -g = 5*s + 4*n, -7*s + 3*s + n - 10 = 0 for s.\n' | b'-3\n' | b'Let y(i) = -2*i**3 + 42*i**2 - 111*i + 77. Let g be y(18). Solve -g = 5*s + 4*n, -7*s + 3*s + n - 10 = 0 for s.\n' | b'-3\n' | deepmind/math_dataset |
b'Let c = -431 + 433. Find the third derivative of -3*q**c + q**2 + 4*q**2 + 4 + 0*q**2 + 42*q**6 + q**2 wrt q.\n' | b'5040*q**3\n' | b'Let c = -431 + 433. Find the third derivative of -3*q**c + q**2 + 4*q**2 + 4 + 0*q**2 + 42*q**6 + q**2 wrt q.\n' | b'5040*q**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 2, w: 4}. What is prob of sequence ww?\n' | b'2/5\n' | b'Two letters picked without replacement from {h: 2, w: 4}. What is prob of sequence ww?\n' | b'2/5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 6, b: 6, q: 2, e: 2, n: 1, h: 3}. What is prob of picking 1 b and 2 q?\n' | b'1/190\n' | b'Three letters picked without replacement from {w: 6, b: 6, q: 2, e: 2, n: 1, h: 3}. What is prob of picking 1 b and 2 q?\n' | b'1/190\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 5, p: 13}. Give prob of picking 3 p.\n' | b'143/408\n' | b'Three letters picked without replacement from {q: 5, p: 13}. Give prob of picking 3 p.\n' | b'143/408\n' | deepmind/math_dataset |
b'What is prob of sequence jje when three letters picked without replacement from {j: 2, b: 3, e: 4}?\n' | b'1/63\n' | b'What is prob of sequence jje when three letters picked without replacement from {j: 2, b: 3, e: 4}?\n' | b'1/63\n' | deepmind/math_dataset |
b'Let h(w) be the second derivative of 1/6*w**4 + 0 - 3/2*w**2 - 3*w + 1/3*w**3 - 1/20*w**5. Let v(y) = -23*y + 279. Let j be v(12). Calculate h(j).\n' | b'-6\n' | b'Let h(w) be the second derivative of 1/6*w**4 + 0 - 3/2*w**2 - 3*w + 1/3*w**3 - 1/20*w**5. Let v(y) = -23*y + 279. Let j be v(12). Calculate h(j).\n' | b'-6\n' | deepmind/math_dataset |
b'Let n(a) = a**3 - a**2. Let q be n(0). Let g(s) = 2*s**3 + 2*s**2 - 1. Let x be g(1). Let o(c) = x + c + 3*c - 3*c. What is o(q)?\n' | b'3\n' | b'Let n(a) = a**3 - a**2. Let q be n(0). Let g(s) = 2*s**3 + 2*s**2 - 1. Let x be g(1). Let o(c) = x + c + 3*c - 3*c. What is o(q)?\n' | b'3\n' | deepmind/math_dataset |
b'Let s(j) = 112*j**4 - 5*j**3 - 54. Let l(f) = -336*f**4 + 14*f**3 + 162. Let o(a) = 5*l(a) + 14*s(a). What is the derivative of o(h) wrt h?\n' | b'-448*h**3\n' | b'Let s(j) = 112*j**4 - 5*j**3 - 54. Let l(f) = -336*f**4 + 14*f**3 + 162. Let o(a) = 5*l(a) + 14*s(a). What is the derivative of o(h) wrt h?\n' | b'-448*h**3\n' | deepmind/math_dataset |
b'Let a(h) = -12*h + 4*h**2 + 1 + 9*h**2 - 7*h**2 - 3. Determine a(2).\n' | b'-2\n' | b'Let a(h) = -12*h + 4*h**2 + 1 + 9*h**2 - 7*h**2 - 3. Determine a(2).\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of sequence xxy when three letters picked without replacement from {x: 3, a: 6, y: 1, s: 4, c: 1, k: 1}?\n' | b'1/560\n' | b'What is prob of sequence xxy when three letters picked without replacement from {x: 3, a: 6, y: 1, s: 4, c: 1, k: 1}?\n' | b'1/560\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 5, h: 3}. What is prob of picking 1 h and 1 b?\n' | b'15/28\n' | b'Two letters picked without replacement from {b: 5, h: 3}. What is prob of picking 1 h and 1 b?\n' | b'15/28\n' | deepmind/math_dataset |
b'Let f = 5 + -6. Let u(h) = 1 + 6*h**3 + 0*h**2 - h**2 + 0*h**2. What is u(f)?\n' | b'-6\n' | b'Let f = 5 + -6. Let u(h) = 1 + 6*h**3 + 0*h**2 - h**2 + 0*h**2. What is u(f)?\n' | b'-6\n' | deepmind/math_dataset |
b'Let g(l) be the first derivative of 6*l - 8 + 5/2*l**2. Differentiate g(f) with respect to f.\n' | b'5\n' | b'Let g(l) be the first derivative of 6*l - 8 + 5/2*l**2. Differentiate g(f) with respect to f.\n' | b'5\n' | deepmind/math_dataset |
b'Let c(l) be the third derivative of -346*l**4/3 - 227*l**3/3 + 1566*l**2. Find the first derivative of c(n) wrt n.\n' | b'-2768\n' | b'Let c(l) be the third derivative of -346*l**4/3 - 227*l**3/3 + 1566*l**2. Find the first derivative of c(n) wrt n.\n' | b'-2768\n' | deepmind/math_dataset |
b'What is the second derivative of 1 + 21846*o**2 - 21846*o**2 - o - 36*o**4 wrt o?\n' | b'-432*o**2\n' | b'What is the second derivative of 1 + 21846*o**2 - 21846*o**2 - o - 36*o**4 wrt o?\n' | b'-432*o**2\n' | deepmind/math_dataset |
b'What is prob of sequence zg when two letters picked without replacement from ggvlovooloovvvozolgo?\n' | b'3/380\n' | b'What is prob of sequence zg when two letters picked without replacement from ggvlovooloovvvozolgo?\n' | b'3/380\n' | deepmind/math_dataset |
b'Let n = 17 - 18. Let i(q) = 1. Let z(r) = r + 7. Let o(a) = n*z(a) + 3*i(a). Calculate o(-5).\n' | b'1\n' | b'Let n = 17 - 18. Let i(q) = 1. Let z(r) = r + 7. Let o(a) = n*z(a) + 3*i(a). Calculate o(-5).\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (w*w/(w*w/(w/(w*w**(1/10))))*w/(w/(w/((w/(w/(w*w*w**(-1/17)/w*w*w)))/w)))*w)**2 assuming w is positive.\n' | b'w**(-7/85)\n' | b'Simplify (w*w/(w*w/(w/(w*w**(1/10))))*w/(w/(w/((w/(w/(w*w*w**(-1/17)/w*w*w)))/w)))*w)**2 assuming w is positive.\n' | b'w**(-7/85)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 2, i: 1, n: 1, g: 2}. What is prob of picking 1 i, 1 y, and 2 g?\n' | b'2/15\n' | b'Four letters picked without replacement from {y: 2, i: 1, n: 1, g: 2}. What is prob of picking 1 i, 1 y, and 2 g?\n' | b'2/15\n' | deepmind/math_dataset |
b'Let v be 12/(-42) - 82/7. Suppose 5*l = 3*a + 6, -5*l = -2*a - 2*a - 8. Let s be 4/v + a/(-6). Solve s*u - 7 = 5*u - 4*y, -y + 4 = -2*u for u.\n' | b'-3\n' | b'Let v be 12/(-42) - 82/7. Suppose 5*l = 3*a + 6, -5*l = -2*a - 2*a - 8. Let s be 4/v + a/(-6). Solve s*u - 7 = 5*u - 4*y, -y + 4 = -2*u for u.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 4, e: 10}. What is prob of sequence ee?\n' | b'45/91\n' | b'Two letters picked without replacement from {m: 4, e: 10}. What is prob of sequence ee?\n' | b'45/91\n' | deepmind/math_dataset |
b'Let o(x) be the third derivative of 29*x**6/3 - 572*x**3/3 - 1498*x**2. Differentiate o(s) with respect to s.\n' | b'3480*s**2\n' | b'Let o(x) be the third derivative of 29*x**6/3 - 572*x**3/3 - 1498*x**2. Differentiate o(s) with respect to s.\n' | b'3480*s**2\n' | deepmind/math_dataset |
b'Let h(m) = 15148*m**2 - 11395*m + 1. Let u(r) = 3036*r**2 - 2279*r. Let w(o) = -2*h(o) + 11*u(o). What is the second derivative of w(t) wrt t?\n' | b'6200\n' | b'Let h(m) = 15148*m**2 - 11395*m + 1. Let u(r) = 3036*r**2 - 2279*r. Let w(o) = -2*h(o) + 11*u(o). What is the second derivative of w(t) wrt t?\n' | b'6200\n' | deepmind/math_dataset |
b'Four letters picked without replacement from pnntyynnpp. Give prob of picking 3 n and 1 p.\n' | b'2/35\n' | b'Four letters picked without replacement from pnntyynnpp. Give prob of picking 3 n and 1 p.\n' | b'2/35\n' | deepmind/math_dataset |
b'Let m(t) = 9*t - 1. Let f(l) = 2*l + 1. Let q(d) = -5*f(d) + m(d). What is q(-16)?\n' | b'10\n' | b'Let m(t) = 9*t - 1. Let f(l) = 2*l + 1. Let q(d) = -5*f(d) + m(d). What is q(-16)?\n' | b'10\n' | deepmind/math_dataset |
b'Let y(i) = -i**2 - 6*i + 5. Let f(c) = c - 7. Let l be f(8). Let p(k) = -k**2 + k - 1. Let o(x) = l*y(x) + 5*p(x). Determine o(-1).\n' | b'-5\n' | b'Let y(i) = -i**2 - 6*i + 5. Let f(c) = c - 7. Let l be f(8). Let p(k) = -k**2 + k - 1. Let o(x) = l*y(x) + 5*p(x). Determine o(-1).\n' | b'-5\n' | deepmind/math_dataset |
b'Let v(j) = -j**2 - 7*j - 4. Let a(i) = -1 - 8*i + 8*i - 4 - i**3 - i**2. Let t be a(0). Let q be v(t). Let o(w) = w + 6. Calculate o(q).\n' | b'12\n' | b'Let v(j) = -j**2 - 7*j - 4. Let a(i) = -1 - 8*i + 8*i - 4 - i**3 - i**2. Let t be a(0). Let q be v(t). Let o(w) = w + 6. Calculate o(q).\n' | b'12\n' | deepmind/math_dataset |
b'Let x be -3 + (4 - 2) - -15. Let r(z) = z**3 - 10*z**2 - 22*z - 18. Let o be r(12). Solve -o*f - x = -n - 2*f, 12 = -4*f for n.\n' | b'2\n' | b'Let x be -3 + (4 - 2) - -15. Let r(z) = z**3 - 10*z**2 - 22*z - 18. Let o be r(12). Solve -o*f - x = -n - 2*f, 12 = -4*f for n.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((t/(t*t*t*t**33))/t**(2/61))/((t/(t/(t**(-22)*t*t)*t))/(t*t/(t/(t*t**17)))) assuming t is positive.\n' | b't**(303/61)\n' | b'Simplify ((t/(t*t*t*t**33))/t**(2/61))/((t/(t/(t**(-22)*t*t)*t))/(t*t/(t/(t*t**17)))) assuming t is positive.\n' | b't**(303/61)\n' | deepmind/math_dataset |
b'Calculate prob of sequence evey when four letters picked without replacement from yyeyeyve.\n' | b'1/70\n' | b'Calculate prob of sequence evey when four letters picked without replacement from yyeyeyve.\n' | b'1/70\n' | deepmind/math_dataset |
b'What is the second derivative of 37*w**2 + 5 - 30*w - 5 - 22*w wrt w?\n' | b'74\n' | b'What is the second derivative of 37*w**2 + 5 - 30*w - 5 - 22*w wrt w?\n' | b'74\n' | deepmind/math_dataset |
b'Let u be (2*-9)/(1 - 3). Suppose 1 + u = 5*k. Let n be ((-76)/12)/(k/(-6)). Solve 5*m + 12 = 2*p - 11, -5*m = -p + n for m.\n' | b'-3\n' | b'Let u be (2*-9)/(1 - 3). Suppose 1 + u = 5*k. Let n be ((-76)/12)/(k/(-6)). Solve 5*m + 12 = 2*p - 11, -5*m = -p + n for m.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (x**(-2/9)*x**(-2/7))**(-26)/((x*x**(-4)*x**(-2/5))/((x**6*x)/(x*x**4/x))) assuming x is positive.\n' | b'x**(6176/315)\n' | b'Simplify (x**(-2/9)*x**(-2/7))**(-26)/((x*x**(-4)*x**(-2/5))/((x**6*x)/(x*x**4/x))) assuming x is positive.\n' | b'x**(6176/315)\n' | deepmind/math_dataset |
b'Let o(w) = -w**2 + 6*w + 4. Let s = -6 + 3. Let d be 43/6 - s/(-18). Determine o(d).\n' | b'-3\n' | b'Let o(w) = -w**2 + 6*w + 4. Let s = -6 + 3. Let d be 43/6 - s/(-18). Determine o(d).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (y**(-2/19))**(3/5) assuming y is positive.\n' | b'y**(-6/95)\n' | b'Simplify (y**(-2/19))**(3/5) assuming y is positive.\n' | b'y**(-6/95)\n' | deepmind/math_dataset |
b'What is prob of sequence dii when three letters picked without replacement from {d: 5, i: 11}?\n' | b'55/336\n' | b'What is prob of sequence dii when three letters picked without replacement from {d: 5, i: 11}?\n' | b'55/336\n' | deepmind/math_dataset |
b'Let a(x) be the second derivative of -319*x**7/21 - x**6/30 - x**5/10 + x**4/12 + 155*x**3/3 + x**2/2 + 453*x. Find the third derivative of a(l) wrt l.\n' | b'-38280*l**2 - 24*l - 12\n' | b'Let a(x) be the second derivative of -319*x**7/21 - x**6/30 - x**5/10 + x**4/12 + 155*x**3/3 + x**2/2 + 453*x. Find the third derivative of a(l) wrt l.\n' | b'-38280*l**2 - 24*l - 12\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vmvtavmmmimm. What is prob of sequence ta?\n' | b'1/132\n' | b'Two letters picked without replacement from vmvtavmmmimm. What is prob of sequence ta?\n' | b'1/132\n' | deepmind/math_dataset |
b'Let k be 22/(-55) - 2/(-5). Let c(g) be the third derivative of 3*g**2 + 0*g**5 + 0*g**4 + k*g + 1/60*g**6 + 2/3*g**3 + 0. Differentiate c(b) with respect to b.\n' | b'6*b**2\n' | b'Let k be 22/(-55) - 2/(-5). Let c(g) be the third derivative of 3*g**2 + 0*g**5 + 0*g**4 + k*g + 1/60*g**6 + 2/3*g**3 + 0. Differentiate c(b) with respect to b.\n' | b'6*b**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 u when three letters picked without replacement from {h: 11, g: 2, s: 1, u: 1}.\n' | b'0\n' | b'Calculate prob of picking 3 u when three letters picked without replacement from {h: 11, g: 2, s: 1, u: 1}.\n' | b'0\n' | deepmind/math_dataset |
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