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 g(t) = -4*t**2 - 11*t + 4. Let x(u) = 4*u**2 + 10*u - 3. Let d(p) = 5*g(p) + 6*x(p). Let z(y) = -y**2. Let w(r) = d(r) + 5*z(r). Calculate w(6).\n' | b'-4\n' | b'Let g(t) = -4*t**2 - 11*t + 4. Let x(u) = 4*u**2 + 10*u - 3. Let d(p) = 5*g(p) + 6*x(p). Let z(y) = -y**2. Let w(r) = d(r) + 5*z(r). Calculate w(6).\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify n**(-1/8)/n**(-6/11)*(n/n**0)/(n**2*n) assuming n is positive.\n' | b'n**(-139/88)\n' | b'Simplify n**(-1/8)/n**(-6/11)*(n/n**0)/(n**2*n) assuming n is positive.\n' | b'n**(-139/88)\n' | deepmind/math_dataset |
b'Let n(k) = -3*k + 39. Let v(r) = 3*r - 19. Let u(z) = -n(z) - 2*v(z). Let t be -1 + 1 - 1 - 1. What is u(t)?\n' | b'5\n' | b'Let n(k) = -3*k + 39. Let v(r) = 3*r - 19. Let u(z) = -n(z) - 2*v(z). Let t be -1 + 1 - 1 - 1. What is u(t)?\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 i when three letters picked without replacement from {i: 7, d: 12}.\n' | b'35/969\n' | b'Calculate prob of picking 3 i when three letters picked without replacement from {i: 7, d: 12}.\n' | b'35/969\n' | deepmind/math_dataset |
b'Let k(d) = -3 - 15*d**2 - d**3 + 13*d + 3*d**2 + 6. Calculate k(-13).\n' | b'3\n' | b'Let k(d) = -3 - 15*d**2 - d**3 + 13*d + 3*d**2 + 6. Calculate k(-13).\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (r/(r**(6/11)*r))**(-6/5)/((r*r/(r**(7/11)*r))/r)**26 assuming r is positive.\n' | b'r**(86/5)\n' | b'Simplify (r/(r**(6/11)*r))**(-6/5)/((r*r/(r**(7/11)*r))/r)**26 assuming r is positive.\n' | b'r**(86/5)\n' | deepmind/math_dataset |
b'What is prob of sequence bbqb when four letters picked without replacement from {q: 2, b: 8}?\n' | b'2/15\n' | b'What is prob of sequence bbqb when four letters picked without replacement from {q: 2, b: 8}?\n' | b'2/15\n' | deepmind/math_dataset |
b'Let n(u) be the third derivative of 0*u + 38*u**2 + 0*u**4 + 7/20*u**5 + 37/6*u**3 + 0. What is the derivative of n(o) wrt o?\n' | b'42*o\n' | b'Let n(u) be the third derivative of 0*u + 38*u**2 + 0*u**4 + 7/20*u**5 + 37/6*u**3 + 0. What is the derivative of n(o) wrt o?\n' | b'42*o\n' | deepmind/math_dataset |
b'Let r be 2 + (-1 - 10) - -21. Solve 2*v - 8 = 0, 0 = t + t + 5*v - r for t.\n' | b'-4\n' | b'Let r be 2 + (-1 - 10) - -21. Solve 2*v - 8 = 0, 0 = t + t + 5*v - r for t.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence vv when two letters picked without replacement from pvg.\n' | b'0\n' | b'Calculate prob of sequence vv when two letters picked without replacement from pvg.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 2 h when two letters picked without replacement from hhh?\n' | b'1\n' | b'What is prob of picking 2 h when two letters picked without replacement from hhh?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 2*j = -5*z + 7*j - 135, -3*z - j - 101 = 0. Let r = z + 37. Solve -44 + 7 = -r*w - 4*a, 4*w - 26 = -2*a for w.\n' | b'5\n' | b'Suppose 2*j = -5*z + 7*j - 135, -3*z - j - 101 = 0. Let r = z + 37. Solve -44 + 7 = -r*w - 4*a, 4*w - 26 = -2*a for w.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wtpdwibi. What is prob of sequence wwbp?\n' | b'1/840\n' | b'Four letters picked without replacement from wtpdwibi. What is prob of sequence wwbp?\n' | b'1/840\n' | deepmind/math_dataset |
b'Let m be 1/2*(6 - 4). What is the first derivative of -2*o**2 + m + 0 + 3 wrt o?\n' | b'-4*o\n' | b'Let m be 1/2*(6 - 4). What is the first derivative of -2*o**2 + m + 0 + 3 wrt o?\n' | b'-4*o\n' | deepmind/math_dataset |
b'What is prob of sequence jp when two letters picked without replacement from {j: 1, k: 1, v: 3, p: 1, c: 1}?\n' | b'1/42\n' | b'What is prob of sequence jp when two letters picked without replacement from {j: 1, k: 1, v: 3, p: 1, c: 1}?\n' | b'1/42\n' | deepmind/math_dataset |
b'What is prob of sequence ycc when three letters picked without replacement from {a: 2, c: 5, y: 7}?\n' | b'5/78\n' | b'What is prob of sequence ycc when three letters picked without replacement from {a: 2, c: 5, y: 7}?\n' | b'5/78\n' | deepmind/math_dataset |
b'Let u(y) = y**3 + 4*y**2 - 6*y - 3. Let x be 3 + -1 + -8 + 3. Let t = -2 + x. Calculate u(t).\n' | b'2\n' | b'Let u(y) = y**3 + 4*y**2 - 6*y - 3. Let x be 3 + -1 + -8 + 3. Let t = -2 + x. Calculate u(t).\n' | b'2\n' | deepmind/math_dataset |
b'Let f be 12 + 5/(20/(-12)). Suppose 5*v = -3*d + 88, -2*v + 3*d + 61 = f. Solve -5*o - v = -5*c, 4*o + 21 = 4*c - o for c.\n' | b'-1\n' | b'Let f be 12 + 5/(20/(-12)). Suppose 5*v = -3*d + 88, -2*v + 3*d + 61 = f. Solve -5*o - v = -5*c, 4*o + 21 = 4*c - o for c.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (l**(-1/8)/l*((l*l/(l**(-3/4)/l))/l)/l)**7/((l/(l*l*(l/l**(-2/5))/l))**(-15)*l**(-4)/l*(l/(((l**4/l)/l)/l))/l) assuming l is positive.\n' | b'l**(-85/8)\n' | b'Simplify (l**(-1/8)/l*((l*l/(l**(-3/4)/l))/l)/l)**7/((l/(l*l*(l/l**(-2/5))/l))**(-15)*l**(-4)/l*(l/(((l**4/l)/l)/l))/l) assuming l is positive.\n' | b'l**(-85/8)\n' | deepmind/math_dataset |
b'What is prob of picking 1 a and 1 b when two letters picked without replacement from asaabsabb?\n' | b'1/3\n' | b'What is prob of picking 1 a and 1 b when two letters picked without replacement from asaabsabb?\n' | b'1/3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hwwwwwwwwwhwqwh. What is prob of sequence ww?\n' | b'11/21\n' | b'Two letters picked without replacement from hwwwwwwwwwhwqwh. What is prob of sequence ww?\n' | b'11/21\n' | deepmind/math_dataset |
b'Simplify (q/((q/q**(-2))/q))**(-49)/(q**(-2/15)/q**(-2/21)) assuming q is positive.\n' | b'q**(5149/105)\n' | b'Simplify (q/((q/q**(-2))/q))**(-49)/(q**(-2/15)/q**(-2/21)) assuming q is positive.\n' | b'q**(5149/105)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 6, v: 3, y: 3, s: 6}. What is prob of sequence vys?\n' | b'3/272\n' | b'Three letters picked without replacement from {b: 6, v: 3, y: 3, s: 6}. What is prob of sequence vys?\n' | b'3/272\n' | deepmind/math_dataset |
b'Simplify z*z**(-45/7)*z**(-18)*z*z**(-21)/((z/(z**(-3/14)/z*z*z*z*z))/z) assuming z is positive.\n' | b'z**(-569/14)\n' | b'Simplify z*z**(-45/7)*z**(-18)*z*z**(-21)/((z/(z**(-3/14)/z*z*z*z*z))/z) assuming z is positive.\n' | b'z**(-569/14)\n' | deepmind/math_dataset |
b'Let r(c) = -9001*c - 8263. Let n(g) = 8995*g + 8266. Let i(k) = 6*n(k) + 5*r(k). What is the first derivative of i(q) wrt q?\n' | b'8965\n' | b'Let r(c) = -9001*c - 8263. Let n(g) = 8995*g + 8266. Let i(k) = 6*n(k) + 5*r(k). What is the first derivative of i(q) wrt q?\n' | b'8965\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 2, e: 8}. Give prob of sequence efe.\n' | b'7/45\n' | b'Three letters picked without replacement from {f: 2, e: 8}. Give prob of sequence efe.\n' | b'7/45\n' | deepmind/math_dataset |
b'Let q be (3 - (2 + -1)) + 2. Let c(z) be the first derivative of 0*z**3 + 0*z - 2/5*z**5 + z**2 + 0*z**q - 2. What is the second derivative of c(g) wrt g?\n' | b'-24*g**2\n' | b'Let q be (3 - (2 + -1)) + 2. Let c(z) be the first derivative of 0*z**3 + 0*z - 2/5*z**5 + z**2 + 0*z**q - 2. What is the second derivative of c(g) wrt g?\n' | b'-24*g**2\n' | deepmind/math_dataset |
b'Let r(x) be the second derivative of -x**5/20 - 5*x**4/6 - 2*x**3/3 + 3687*x. Determine r(-4).\n' | b'-80\n' | b'Let r(x) be the second derivative of -x**5/20 - 5*x**4/6 - 2*x**3/3 + 3687*x. Determine r(-4).\n' | b'-80\n' | deepmind/math_dataset |
b'Let p(k) = 65*k**2 - 4*k + 23. Let y = -28 + 31. Let n(x) = 64*x**2 - 3*x + 22. Let s(l) = y*p(l) - 4*n(l). What is the first derivative of s(c) wrt c?\n' | b'-122*c\n' | b'Let p(k) = 65*k**2 - 4*k + 23. Let y = -28 + 31. Let n(x) = 64*x**2 - 3*x + 22. Let s(l) = y*p(l) - 4*n(l). What is the first derivative of s(c) wrt c?\n' | b'-122*c\n' | deepmind/math_dataset |
b'Calculate prob of sequence uyof when four letters picked without replacement from ucykfcok.\n' | b'1/1680\n' | b'Calculate prob of sequence uyof when four letters picked without replacement from ucykfcok.\n' | b'1/1680\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vbmbvjbmjjjj. What is prob of sequence jj?\n' | b'5/33\n' | b'Two letters picked without replacement from vbmbvjbmjjjj. What is prob of sequence jj?\n' | b'5/33\n' | deepmind/math_dataset |
b'Let m(q) = -1 + 2 - q - q + q. Let o(v) = -2*v**3 + 11*v**2 - 13*v + 3. Let y be o(4). Let a(b) = 2*b**2 - 3*b + 2. Let f(h) = y*a(h) + 6*m(h). Calculate f(-3).\n' | b'-5\n' | b'Let m(q) = -1 + 2 - q - q + q. Let o(v) = -2*v**3 + 11*v**2 - 13*v + 3. Let y be o(4). Let a(b) = 2*b**2 - 3*b + 2. Let f(h) = y*a(h) + 6*m(h). Calculate f(-3).\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 2, w: 2, r: 1}. What is prob of picking 2 w and 2 z?\n' | b'1/5\n' | b'Four letters picked without replacement from {z: 2, w: 2, r: 1}. What is prob of picking 2 w and 2 z?\n' | b'1/5\n' | deepmind/math_dataset |
b'What is prob of picking 1 l and 1 a when two letters picked without replacement from {l: 1, c: 1, a: 2}?\n' | b'1/3\n' | b'What is prob of picking 1 l and 1 a when two letters picked without replacement from {l: 1, c: 1, a: 2}?\n' | b'1/3\n' | deepmind/math_dataset |
b'Suppose -9*s + 91 - 19 = 0. Let x(h) = -s + 12 - h - 2. Let k(w) = -w**3 - 6*w**2 + 2. Let q be k(-6). Determine x(q).\n' | b'0\n' | b'Suppose -9*s + 91 - 19 = 0. Let x(h) = -s + 12 - h - 2. Let k(w) = -w**3 - 6*w**2 + 2. Let q be k(-6). Determine x(q).\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (b**(4/9))**22/((b**3/b)/b**(1/27)) assuming b is positive.\n' | b'b**(211/27)\n' | b'Simplify (b**(4/9))**22/((b**3/b)/b**(1/27)) assuming b is positive.\n' | b'b**(211/27)\n' | deepmind/math_dataset |
b'Simplify (x**(-1/4))**(-31/4)*(x*x**(-8)*x)/(x**(-3)/x) assuming x is positive.\n' | b'x**(-1/16)\n' | b'Simplify (x**(-1/4))**(-31/4)*(x*x**(-8)*x)/(x**(-3)/x) assuming x is positive.\n' | b'x**(-1/16)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {x: 7, m: 4, z: 1, b: 4, o: 2}. Give prob of picking 1 b and 3 x.\n' | b'7/153\n' | b'Four letters picked without replacement from {x: 7, m: 4, z: 1, b: 4, o: 2}. Give prob of picking 1 b and 3 x.\n' | b'7/153\n' | deepmind/math_dataset |
b'Four letters picked without replacement from afffafddfa. Give prob of sequence aaad.\n' | b'1/420\n' | b'Four letters picked without replacement from afffafddfa. Give prob of sequence aaad.\n' | b'1/420\n' | deepmind/math_dataset |
b'Four letters picked without replacement from cxcxyccccccccccx. What is prob of picking 2 x and 2 c?\n' | b'99/910\n' | b'Four letters picked without replacement from cxcxyccccccccccx. What is prob of picking 2 x and 2 c?\n' | b'99/910\n' | deepmind/math_dataset |
b'Let k(w) = -w**3 + w**2 - w + 9. Let j(z) = 4*z - 9. Let y be j(5). Let p(c) = c + c**2 - 6*c - 7*c + c. Let g be p(y). Give k(g).\n' | b'9\n' | b'Let k(w) = -w**3 + w**2 - w + 9. Let j(z) = 4*z - 9. Let y be j(5). Let p(c) = c + c**2 - 6*c - 7*c + c. Let g be p(y). Give k(g).\n' | b'9\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 2, x: 7, v: 3, l: 8}. What is prob of sequence xvxl?\n' | b'14/1615\n' | b'Four letters picked without replacement from {w: 2, x: 7, v: 3, l: 8}. What is prob of sequence xvxl?\n' | b'14/1615\n' | deepmind/math_dataset |
b'Two letters picked without replacement from fhhffhfffhf. Give prob of sequence fh.\n' | b'14/55\n' | b'Two letters picked without replacement from fhhffhfffhf. Give prob of sequence fh.\n' | b'14/55\n' | deepmind/math_dataset |
b'Simplify ((s*(s/s**6*s)/s*s*s)/s**4*s/((s*s*s**0*s)/s)*s/((s/((s*s*s**(-2/7)/s*s)/s*s))/s))**(-2/25) assuming s is positive.\n' | b's**(12/35)\n' | b'Simplify ((s*(s/s**6*s)/s*s*s)/s**4*s/((s*s*s**0*s)/s)*s/((s/((s*s*s**(-2/7)/s*s)/s*s))/s))**(-2/25) assuming s is positive.\n' | b's**(12/35)\n' | deepmind/math_dataset |
b'Suppose 0 = -3*g - 0*j - 2*j + 20, -j = -5*g + 55. Let r(m) = -m**3 + 9*m**2 + 10*m + 9. Calculate r(g).\n' | b'9\n' | b'Suppose 0 = -3*g - 0*j - 2*j + 20, -j = -5*g + 55. Let r(m) = -m**3 + 9*m**2 + 10*m + 9. Calculate r(g).\n' | b'9\n' | deepmind/math_dataset |
b'Simplify ((l*l**(-2))/l)**(-43)*l**(-2/11)/((l/(l/l**(-3/8)*l))/l) assuming l is positive.\n' | b'l**(7761/88)\n' | b'Simplify ((l*l**(-2))/l)**(-43)*l**(-2/11)/((l/(l/l**(-3/8)*l))/l) assuming l is positive.\n' | b'l**(7761/88)\n' | deepmind/math_dataset |
b'What is the third derivative of -10*v**2 - 6*v - 3*v + 9*v - 9*v**6 wrt v?\n' | b'-1080*v**3\n' | b'What is the third derivative of -10*v**2 - 6*v - 3*v + 9*v - 9*v**6 wrt v?\n' | b'-1080*v**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k and 3 j when four letters picked without replacement from {e: 3, k: 4, t: 2, j: 2, z: 3, f: 1}.\n' | b'0\n' | b'Calculate prob of picking 1 k and 3 j when four letters picked without replacement from {e: 3, k: 4, t: 2, j: 2, z: 3, f: 1}.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zzzzzzzzzz. Give prob of sequence zz.\n' | b'1\n' | b'Two letters picked without replacement from zzzzzzzzzz. Give prob of sequence zz.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 0 = 4*r - 5 - 3. Let u be 9 - (12/r - 3). Solve -2*w + u*b - 2*b - 12 = 0, -5*b + 12 = -4*w for w.\n' | b'2\n' | b'Suppose 0 = 4*r - 5 - 3. Let u be 9 - (12/r - 3). Solve -2*w + u*b - 2*b - 12 = 0, -5*b + 12 = -4*w for w.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 1, j: 1, l: 1, s: 2, e: 2}. What is prob of picking 1 s and 1 e?\n' | b'4/21\n' | b'Two letters picked without replacement from {x: 1, j: 1, l: 1, s: 2, e: 2}. What is prob of picking 1 s and 1 e?\n' | b'4/21\n' | deepmind/math_dataset |
b'Simplify (m*m/(m/(m**6/m*m))*m*m/m**4*(m**2/m)**(4/9))**30 assuming m is positive.\n' | b'm**(490/3)\n' | b'Simplify (m*m/(m/(m**6/m*m))*m*m/m**4*(m**2/m)**(4/9))**30 assuming m is positive.\n' | b'm**(490/3)\n' | deepmind/math_dataset |
b'Let y(d) be the first derivative of -10*d**7/7 - 14*d**3/3 + 7. Find the third derivative of y(o) wrt o.\n' | b'-1200*o**3\n' | b'Let y(d) be the first derivative of -10*d**7/7 - 14*d**3/3 + 7. Find the third derivative of y(o) wrt o.\n' | b'-1200*o**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 h and 1 t when three letters picked without replacement from {h: 4, t: 2}.\n' | b'3/5\n' | b'Calculate prob of picking 2 h and 1 t when three letters picked without replacement from {h: 4, t: 2}.\n' | b'3/5\n' | deepmind/math_dataset |
b'Suppose -b = -6*b - 325. Let r be (-6)/10 - 234/b. Solve 0 = v - 0*v - 3*q, v + r*q = 6 for v.\n' | b'3\n' | b'Suppose -b = -6*b - 325. Let r be (-6)/10 - 234/b. Solve 0 = v - 0*v - 3*q, v + r*q = 6 for v.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -3936 = -180*c + 16*c. Solve 18 = -35*d + 39*d + 2*w, -4*w = -4*d + c for d.\n' | b'5\n' | b'Suppose -3936 = -180*c + 16*c. Solve 18 = -35*d + 39*d + 2*w, -4*w = -4*d + c for d.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((g**(-1/4))**(-2/17)*(g**(-1/2))**(-49))**(-9) assuming g is positive.\n' | b'g**(-3753/17)\n' | b'Simplify ((g**(-1/4))**(-2/17)*(g**(-1/2))**(-49))**(-9) assuming g is positive.\n' | b'g**(-3753/17)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 x and 1 e when two letters picked without replacement from {e: 2, j: 4, x: 1}.\n' | b'2/21\n' | b'Calculate prob of picking 1 x and 1 e when two letters picked without replacement from {e: 2, j: 4, x: 1}.\n' | b'2/21\n' | deepmind/math_dataset |
b'Differentiate 250 + 2651*k + 124 - 3390*k wrt k.\n' | b'-739\n' | b'Differentiate 250 + 2651*k + 124 - 3390*k wrt k.\n' | b'-739\n' | deepmind/math_dataset |
b'Let n = -8 - -22. Let z be (-20)/35 + 64/n. Solve d - 2*d = z*s + 1, s + 14 = -3*d for d.\n' | b'-5\n' | b'Let n = -8 - -22. Let z be (-20)/35 + 64/n. Solve d - 2*d = z*s + 1, s + 14 = -3*d for d.\n' | b'-5\n' | deepmind/math_dataset |
b'Let u(z) = z**3 + 4*z**2 + 3*z + 4. Let x = -131 - -128. Give u(x).\n' | b'4\n' | b'Let u(z) = z**3 + 4*z**2 + 3*z + 4. Let x = -131 - -128. Give u(x).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((c*c**(-2)*c)**(-30))**35*((c**(-1/7)/c)/(c*c**10*c))**36 assuming c is positive.\n' | b'c**(-3312/7)\n' | b'Simplify ((c*c**(-2)*c)**(-30))**35*((c**(-1/7)/c)/(c*c**10*c))**36 assuming c is positive.\n' | b'c**(-3312/7)\n' | deepmind/math_dataset |
b'Simplify o/o**(-9/4)*o/o**(-3/2)*o assuming o is positive.\n' | b'o**(27/4)\n' | b'Simplify o/o**(-9/4)*o/o**(-3/2)*o assuming o is positive.\n' | b'o**(27/4)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nnnmnnynnmmanmyw. Give prob of picking 1 a and 1 w.\n' | b'1/120\n' | b'Two letters picked without replacement from nnnmnnynnmmanmyw. Give prob of picking 1 a and 1 w.\n' | b'1/120\n' | deepmind/math_dataset |
b'Let p(d) = -d + 4. Let r be ((-28)/(-21))/(2/(-6)). What is p(r)?\n' | b'8\n' | b'Let p(d) = -d + 4. Let r be ((-28)/(-21))/(2/(-6)). What is p(r)?\n' | b'8\n' | deepmind/math_dataset |
b'Four letters picked without replacement from mmtmmmmmtmmmmt. Give prob of sequence tmmm.\n' | b'45/364\n' | b'Four letters picked without replacement from mmtmmmmmtmmmmt. Give prob of sequence tmmm.\n' | b'45/364\n' | deepmind/math_dataset |
b'Let x(b) = 1. Let o(d) = 4*d + 4. Let t be o(0). Let w(z) = z**3 - 31*z**2 - 54. Let a(m) = t*x(m) - w(m). What is the first derivative of a(f) wrt f?\n' | b'-3*f**2 + 62*f\n' | b'Let x(b) = 1. Let o(d) = 4*d + 4. Let t be o(0). Let w(z) = z**3 - 31*z**2 - 54. Let a(m) = t*x(m) - w(m). What is the first derivative of a(f) wrt f?\n' | b'-3*f**2 + 62*f\n' | deepmind/math_dataset |
b'Simplify w**(-22)*w*w**(-3) assuming w is positive.\n' | b'w**(-24)\n' | b'Simplify w**(-22)*w*w**(-3) assuming w is positive.\n' | b'w**(-24)\n' | deepmind/math_dataset |
b'Let m be (-4)/(-16) - 14/(-8). Let a be m + (-1 - -2)*-4. Let q = 7 + a. Solve 4*n + 2*t - 5*t - 2 = 0, -2*n - 12 = q*t for n.\n' | b'-1\n' | b'Let m be (-4)/(-16) - 14/(-8). Let a be m + (-1 - -2)*-4. Let q = 7 + a. Solve 4*n + 2*t - 5*t - 2 = 0, -2*n - 12 = q*t for n.\n' | b'-1\n' | deepmind/math_dataset |
b'Let p(y) = 2*y**2 + y + 1. Let i be -3 + (-40)/(-12) + 28/(-12). Calculate p(i).\n' | b'7\n' | b'Let p(y) = 2*y**2 + y + 1. Let i be -3 + (-40)/(-12) + 28/(-12). Calculate p(i).\n' | b'7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 2, s: 4, w: 2, b: 3, l: 1, k: 3}. Give prob of sequence wbs.\n' | b'4/455\n' | b'Three letters picked without replacement from {u: 2, s: 4, w: 2, b: 3, l: 1, k: 3}. Give prob of sequence wbs.\n' | b'4/455\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 w when two letters picked without replacement from {w: 5}.\n' | b'1\n' | b'Calculate prob of picking 2 w when two letters picked without replacement from {w: 5}.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((i/(i*i/(i/((i*i/(i**(1/2)/i))/i))))**(-4/21)/(i**(1/3))**(-13))/((i**(-1/3))**(-19))**20 assuming i is positive.\n' | b'i**(-2563/21)\n' | b'Simplify ((i/(i*i/(i/((i*i/(i**(1/2)/i))/i))))**(-4/21)/(i**(1/3))**(-13))/((i**(-1/3))**(-19))**20 assuming i is positive.\n' | b'i**(-2563/21)\n' | deepmind/math_dataset |
b'Simplify l/l**(-2)*l**(2/21) assuming l is positive.\n' | b'l**(65/21)\n' | b'Simplify l/l**(-2)*l**(2/21) assuming l is positive.\n' | b'l**(65/21)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 x, 1 g, and 2 q when four letters picked without replacement from {g: 5, c: 3, q: 9, x: 1}.\n' | b'1/17\n' | b'Calculate prob of picking 1 x, 1 g, and 2 q when four letters picked without replacement from {g: 5, c: 3, q: 9, x: 1}.\n' | b'1/17\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 1, e: 1, l: 3}. Give prob of picking 1 e, 1 k, and 1 l.\n' | b'3/10\n' | b'Three letters picked without replacement from {k: 1, e: 1, l: 3}. Give prob of picking 1 e, 1 k, and 1 l.\n' | b'3/10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jkwjwjkjwkkkmjzwkj. Give prob of picking 2 j.\n' | b'5/51\n' | b'Two letters picked without replacement from jkwjwjkjwkkkmjzwkj. Give prob of picking 2 j.\n' | b'5/51\n' | deepmind/math_dataset |
b'Simplify (r*((r*(r/(r*r**(-1/9)))/r*r)/r)/r*r)/r**(-23)*(r*r*r/(r*r*(r**(-24)*r*r)/r)*r*r)/r**3 assuming r is positive.\n' | b'r**(424/9)\n' | b'Simplify (r*((r*(r/(r*r**(-1/9)))/r*r)/r)/r*r)/r**(-23)*(r*r*r/(r*r*(r**(-24)*r*r)/r)*r*r)/r**3 assuming r is positive.\n' | b'r**(424/9)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 b when two letters picked without replacement from vvbbnnnnb.\n' | b'1/12\n' | b'Calculate prob of picking 2 b when two letters picked without replacement from vvbbnnnnb.\n' | b'1/12\n' | deepmind/math_dataset |
b'Let f(p) = p**3 + p - 1. Let r be 3*2/12*0. Let b be f(r). Let z(c) = c. Determine z(b).\n' | b'-1\n' | b'Let f(p) = p**3 + p - 1. Let r be 3*2/12*0. Let b be f(r). Let z(c) = c. Determine z(b).\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((o/(o**(-5)/o))/o*o*o/(o/(o/(o*(o*o*(o*(o/(o/(o*o**11))*o)/o*o)/o*o)/o)))*o)**44 assuming o is positive.\n' | b'o**(-308)\n' | b'Simplify ((o/(o**(-5)/o))/o*o*o/(o/(o/(o*(o*o*(o*(o/(o/(o*o**11))*o)/o*o)/o*o)/o)))*o)**44 assuming o is positive.\n' | b'o**(-308)\n' | deepmind/math_dataset |
b'What is prob of picking 4 m when four letters picked without replacement from ggmgguguxmuuxummuu?\n' | b'1/3060\n' | b'What is prob of picking 4 m when four letters picked without replacement from ggmgguguxmuuxummuu?\n' | b'1/3060\n' | deepmind/math_dataset |
b'What is prob of picking 1 i and 1 j when two letters picked without replacement from {b: 1, j: 2, i: 1, v: 1}?\n' | b'1/5\n' | b'What is prob of picking 1 i and 1 j when two letters picked without replacement from {b: 1, j: 2, i: 1, v: 1}?\n' | b'1/5\n' | deepmind/math_dataset |
b'Let c(k) be the first derivative of -4*k**7/105 + 11*k**4/24 - k**2/2 - 2. Let p(l) be the second derivative of c(l). Find the second derivative of p(i) wrt i.\n' | b'-96*i**2\n' | b'Let c(k) be the first derivative of -4*k**7/105 + 11*k**4/24 - k**2/2 - 2. Let p(l) be the second derivative of c(l). Find the second derivative of p(i) wrt i.\n' | b'-96*i**2\n' | deepmind/math_dataset |
b'Simplify (k*(k/k**(2/5))/k)**(-23/5)*(k/k**(2/5))**(-3/37) assuming k is positive.\n' | b'k**(-2598/925)\n' | b'Simplify (k*(k/k**(2/5))/k)**(-23/5)*(k/k**(2/5))**(-3/37) assuming k is positive.\n' | b'k**(-2598/925)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hzlh. Give prob of picking 1 l and 1 h.\n' | b'1/3\n' | b'Two letters picked without replacement from hzlh. Give prob of picking 1 l and 1 h.\n' | b'1/3\n' | deepmind/math_dataset |
b'Calculate prob of sequence oc when two letters picked without replacement from {h: 5, b: 1, c: 1, r: 1, o: 1}.\n' | b'1/72\n' | b'Calculate prob of sequence oc when two letters picked without replacement from {h: 5, b: 1, c: 1, r: 1, o: 1}.\n' | b'1/72\n' | deepmind/math_dataset |
b'Let k(n) = -2*n - n + 6*n - 3. Let d = 144 + -82. Suppose -5*r = d - 77. Give k(r).\n' | b'6\n' | b'Let k(n) = -2*n - n + 6*n - 3. Let d = 144 + -82. Suppose -5*r = d - 77. Give k(r).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify (((i/(i*i**(-3))*i)/i)/i)/i**(1/8)*i**(1/5)*i*i*i**(2/3) assuming i is positive.\n' | b'i**(569/120)\n' | b'Simplify (((i/(i*i**(-3))*i)/i)/i)/i**(1/8)*i**(1/5)*i*i*i**(2/3) assuming i is positive.\n' | b'i**(569/120)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 1, g: 1, v: 2, r: 1, i: 2}. What is prob of sequence vrg?\n' | b'1/105\n' | b'Three letters picked without replacement from {e: 1, g: 1, v: 2, r: 1, i: 2}. What is prob of sequence vrg?\n' | b'1/105\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {j: 8, d: 4, r: 1}. What is prob of picking 1 r and 2 d?\n' | b'3/143\n' | b'Three letters picked without replacement from {j: 8, d: 4, r: 1}. What is prob of picking 1 r and 2 d?\n' | b'3/143\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 9}. What is prob of sequence yy?\n' | b'1\n' | b'Two letters picked without replacement from {y: 9}. What is prob of sequence yy?\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 1 h when two letters picked without replacement from {u: 1, h: 1, r: 1}?\n' | b'1/3\n' | b'What is prob of picking 1 u and 1 h when two letters picked without replacement from {u: 1, h: 1, r: 1}?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let g(r) = -13*r**2 - 43*r - 29. Let s(u) = -16*u**2 - 46*u - 25. Let a(y) = -6*g(y) + 5*s(y). Determine a(15).\n' | b'19\n' | b'Let g(r) = -13*r**2 - 43*r - 29. Let s(u) = -16*u**2 - 46*u - 25. Let a(y) = -6*g(y) + 5*s(y). Determine a(15).\n' | b'19\n' | deepmind/math_dataset |
b'Simplify (i**7)**(1/5) assuming i is positive.\n' | b'i**(7/5)\n' | b'Simplify (i**7)**(1/5) assuming i is positive.\n' | b'i**(7/5)\n' | deepmind/math_dataset |
b'Simplify ((c/(c/(c/(c/c**(1/11)))))/c)**(-5/4) assuming c is positive.\n' | b'c**(25/22)\n' | b'Simplify ((c/(c/(c/(c/c**(1/11)))))/c)**(-5/4) assuming c is positive.\n' | b'c**(25/22)\n' | deepmind/math_dataset |
b'Let l = -117 + 76. Let u = 46 + l. What is the third derivative of 32*n**2 - 15*n**u + 7*n**5 - 9*n**5 + 0*n**5 wrt n?\n' | b'-1020*n**2\n' | b'Let l = -117 + 76. Let u = 46 + l. What is the third derivative of 32*n**2 - 15*n**u + 7*n**5 - 9*n**5 + 0*n**5 wrt n?\n' | b'-1020*n**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from fwffffppppw. Give prob of picking 1 p and 1 w.\n' | b'8/55\n' | b'Two letters picked without replacement from fwffffppppw. Give prob of picking 1 p and 1 w.\n' | b'8/55\n' | deepmind/math_dataset |
b'Let o(y) = -y**3 - 9*y**2 - 7*y + 10. Let n be o(-8). What is the third derivative of 1 - 16011*l**n - 1 + 16119*l**2 - 90*l**5 wrt l?\n' | b'-5400*l**2\n' | b'Let o(y) = -y**3 - 9*y**2 - 7*y + 10. Let n be o(-8). What is the third derivative of 1 - 16011*l**n - 1 + 16119*l**2 - 90*l**5 wrt l?\n' | b'-5400*l**2\n' | deepmind/math_dataset |
b'Suppose 19 = -t - 4*i, 5*t + 43 = t - 5*i. Let w be (t/((-21)/(-2)))/((-2)/9). Let x(c) = c**2 - 2*c + 1. Calculate x(w).\n' | b'4\n' | b'Suppose 19 = -t - 4*i, 5*t + 43 = t - 5*i. Let w be (t/((-21)/(-2)))/((-2)/9). Let x(c) = c**2 - 2*c + 1. Calculate x(w).\n' | b'4\n' | deepmind/math_dataset |
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