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 d(i) = i**2 - 15*i + 4. Let f be d(13). Let z be 2/11 + (-40)/f. Find the second derivative of z*s - 9*s + 11*s**5 - 16*s**5 wrt s.\n' | b'-100*s**3\n' | b'Let d(i) = i**2 - 15*i + 4. Let f be d(13). Let z be 2/11 + (-40)/f. Find the second derivative of z*s - 9*s + 11*s**5 - 16*s**5 wrt s.\n' | b'-100*s**3\n' | deepmind/math_dataset |
b'Suppose 10*v + 140 = 45*v. Find the third derivative of 22*p**3 - 18*p**4 - 10*p**4 - 17*p**v + 46*p**4 - 6 - 7*p**2 wrt p.\n' | b'24*p + 132\n' | b'Suppose 10*v + 140 = 45*v. Find the third derivative of 22*p**3 - 18*p**4 - 10*p**4 - 17*p**v + 46*p**4 - 6 - 7*p**2 wrt p.\n' | b'24*p + 132\n' | deepmind/math_dataset |
b'What is prob of picking 1 g and 3 i when four letters picked without replacement from {o: 2, i: 10, g: 4}?\n' | b'24/91\n' | b'What is prob of picking 1 g and 3 i when four letters picked without replacement from {o: 2, i: 10, g: 4}?\n' | b'24/91\n' | deepmind/math_dataset |
b'Let j = -5 - -7. Let p(s) = -6 - 2*s + 4*s + 0*s**2 - s**j - s. Determine p(0).\n' | b'-6\n' | b'Let j = -5 - -7. Let p(s) = -6 - 2*s + 4*s + 0*s**2 - s**j - s. Determine p(0).\n' | b'-6\n' | deepmind/math_dataset |
b'What is prob of sequence rvi when three letters picked without replacement from {e: 3, m: 6, v: 1, i: 1, r: 2}?\n' | b'1/858\n' | b'What is prob of sequence rvi when three letters picked without replacement from {e: 3, m: 6, v: 1, i: 1, r: 2}?\n' | b'1/858\n' | deepmind/math_dataset |
b'Suppose 24 = 9*u + 2*g, 3*u - u + 2*g = -4. Solve 9*t - 4*t = -u*n - 17, 3*n = 3*t - 6 for t.\n' | b'-1\n' | b'Suppose 24 = 9*u + 2*g, 3*u - u + 2*g = -4. Solve 9*t - 4*t = -u*n - 17, 3*n = 3*t - 6 for t.\n' | b'-1\n' | deepmind/math_dataset |
b'Let k = -6 + 8. Let j be (1 - 1)/((-24 - -20) + 5). Solve 4*z - k*r = -12 + 30, -4*r - 4 = j for z.\n' | b'4\n' | b'Let k = -6 + 8. Let j be (1 - 1)/((-24 - -20) + 5). Solve 4*z - k*r = -12 + 30, -4*r - 4 = j for z.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (t**(-13/5))**31 assuming t is positive.\n' | b't**(-403/5)\n' | b'Simplify (t**(-13/5))**31 assuming t is positive.\n' | b't**(-403/5)\n' | deepmind/math_dataset |
b'Let g(v) = v**3 + v**2 + v - 13. Suppose 3 + 6 = -5*c + 3*o, 2*o = 5*c + 11. Let q be 6/12*0/c. Calculate g(q).\n' | b'-13\n' | b'Let g(v) = v**3 + v**2 + v - 13. Suppose 3 + 6 = -5*c + 3*o, 2*o = 5*c + 11. Let q be 6/12*0/c. Calculate g(q).\n' | b'-13\n' | deepmind/math_dataset |
b'What is prob of sequence nnun when four letters picked without replacement from {s: 2, e: 2, c: 3, u: 1, t: 1, n: 3}?\n' | b'1/1980\n' | b'What is prob of sequence nnun when four letters picked without replacement from {s: 2, e: 2, c: 3, u: 1, t: 1, n: 3}?\n' | b'1/1980\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ymxxyu. What is prob of sequence ux?\n' | b'1/15\n' | b'Two letters picked without replacement from ymxxyu. What is prob of sequence ux?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let z be 1 + -3 + 1*5. Let x be ((-38)/(-133) - -15*(-1)/28)*-48. Solve 2*t + 4 = t - i, x = -z*i for t.\n' | b'0\n' | b'Let z be 1 + -3 + 1*5. Let x be ((-38)/(-133) - -15*(-1)/28)*-48. Solve 2*t + 4 = t - i, x = -z*i for t.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 1, i: 2, u: 3, g: 1, s: 7}. What is prob of picking 1 u, 1 i, and 1 s?\n' | b'3/26\n' | b'Three letters picked without replacement from {m: 1, i: 2, u: 3, g: 1, s: 7}. What is prob of picking 1 u, 1 i, and 1 s?\n' | b'3/26\n' | deepmind/math_dataset |
b'Let c = 2 - 0. Solve 3*g = 6, 7*f - 2*f - c*g - 21 = 0 for f.\n' | b'5\n' | b'Let c = 2 - 0. Solve 3*g = 6, 7*f - 2*f - c*g - 21 = 0 for f.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence cocc when four letters picked without replacement from {c: 12, o: 7}.\n' | b'385/3876\n' | b'Calculate prob of sequence cocc when four letters picked without replacement from {c: 12, o: 7}.\n' | b'385/3876\n' | deepmind/math_dataset |
b'Let f be (-16)/10*(-115)/46. Solve -w = -f*w - 3*x + 15, -5*w + 17 = 3*x for w.\n' | b'1\n' | b'Let f be (-16)/10*(-115)/46. Solve -w = -f*w - 3*x + 15, -5*w + 17 = 3*x for w.\n' | b'1\n' | deepmind/math_dataset |
b'Let u = -56 - -82. Let t be (-4)/u - (-56)/26. Suppose 5 = 4*n + 3*d, -4*n - 3*d + 7 = n. Solve -4*c + 20 = 0, -c = -t*k - n*k - 17 for k.\n' | b'-3\n' | b'Let u = -56 - -82. Let t be (-4)/u - (-56)/26. Suppose 5 = 4*n + 3*d, -4*n - 3*d + 7 = n. Solve -4*c + 20 = 0, -c = -t*k - n*k - 17 for k.\n' | b'-3\n' | deepmind/math_dataset |
b'Let d(q) be the first derivative of -3*q**2/2 + 70*q - 8233. Determine d(18).\n' | b'16\n' | b'Let d(q) be the first derivative of -3*q**2/2 + 70*q - 8233. Determine d(18).\n' | b'16\n' | deepmind/math_dataset |
b'Simplify ((q**0)**(-14/9))**(-7)*q**(-2/9)*q/(q/q**6)*q**3/q**(4/3) assuming q is positive.\n' | b'q**(67/9)\n' | b'Simplify ((q**0)**(-14/9))**(-7)*q**(-2/9)*q/(q/q**6)*q**3/q**(4/3) assuming q is positive.\n' | b'q**(67/9)\n' | deepmind/math_dataset |
b'Let j(u) be the third derivative of -u**4/8 - 7*u**3/6 - 7*u**2. Differentiate j(k) wrt k.\n' | b'-3\n' | b'Let j(u) be the third derivative of -u**4/8 - 7*u**3/6 - 7*u**2. Differentiate j(k) wrt k.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (s/(s/s**(-1/3)))**(-5/7)/(s**(-2/5))**(1/10) assuming s is positive.\n' | b's**(146/525)\n' | b'Simplify (s/(s/s**(-1/3)))**(-5/7)/(s**(-2/5))**(1/10) assuming s is positive.\n' | b's**(146/525)\n' | deepmind/math_dataset |
b'What is prob of picking 1 d and 1 l when two letters picked without replacement from mtlltddultf?\n' | b'6/55\n' | b'What is prob of picking 1 d and 1 l when two letters picked without replacement from mtlltddultf?\n' | b'6/55\n' | deepmind/math_dataset |
b'Simplify (h**3/h**8*h**(-5)*h/(h/(h**(1/7)/h)))**(-42) assuming h is positive.\n' | b'h**456\n' | b'Simplify (h**3/h**8*h**(-5)*h/(h/(h**(1/7)/h)))**(-42) assuming h is positive.\n' | b'h**456\n' | deepmind/math_dataset |
b'Let x(o) = 2 + 6 - 10 + 3. Let t(v) be the third derivative of 17*v**5/60 + v**4/24 + 5*v**3/6 + 4*v**2. Let g(s) = t(s) - 5*x(s). Determine g(1).\n' | b'18\n' | b'Let x(o) = 2 + 6 - 10 + 3. Let t(v) be the third derivative of 17*v**5/60 + v**4/24 + 5*v**3/6 + 4*v**2. Let g(s) = t(s) - 5*x(s). Determine g(1).\n' | b'18\n' | deepmind/math_dataset |
b'Suppose 3*i - 27 = -4*a, -3*a = -2*i - 0*i + 18. Let d(m) = m**2 - 9*m + 2. Let x be d(i). Solve 0 = -2*k + x*j - 4, 3*k + 5*j = 3*j + 14 for k.\n' | b'2\n' | b'Suppose 3*i - 27 = -4*a, -3*a = -2*i - 0*i + 18. Let d(m) = m**2 - 9*m + 2. Let x be d(i). Solve 0 = -2*k + x*j - 4, 3*k + 5*j = 3*j + 14 for k.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 4 y when four letters picked without replacement from {y: 4, k: 2, i: 2}?\n' | b'1/70\n' | b'What is prob of picking 4 y when four letters picked without replacement from {y: 4, k: 2, i: 2}?\n' | b'1/70\n' | deepmind/math_dataset |
b'Let r(u) be the second derivative of 79*u**5/10 - 101*u**4/12 - 165*u. What is the third derivative of r(g) wrt g?\n' | b'948\n' | b'Let r(u) be the second derivative of 79*u**5/10 - 101*u**4/12 - 165*u. What is the third derivative of r(g) wrt g?\n' | b'948\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 6, h: 2, b: 1, o: 3, p: 1}. Give prob of sequence ohb.\n' | b'1/286\n' | b'Three letters picked without replacement from {x: 6, h: 2, b: 1, o: 3, p: 1}. Give prob of sequence ohb.\n' | b'1/286\n' | deepmind/math_dataset |
b'Let a(w) = -w**3 + 7*w**2 - 6*w. Let o be a(6). Suppose o = -2*h - 3*h. Solve -2*f = -h*r - 3*r + 16, 0 = 2*f + 3*r - 8 for f.\n' | b'-2\n' | b'Let a(w) = -w**3 + 7*w**2 - 6*w. Let o be a(6). Suppose o = -2*h - 3*h. Solve -2*f = -h*r - 3*r + 16, 0 = 2*f + 3*r - 8 for f.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 2*f - 28 = -0*f. Suppose -4*o + 8*o = 5*w - 12, -f = -o - 3*w. Let x(z) = 3*z - 2*z + o - 2*z - 1. Determine x(2).\n' | b'-1\n' | b'Suppose 2*f - 28 = -0*f. Suppose -4*o + 8*o = 5*w - 12, -f = -o - 3*w. Let x(z) = 3*z - 2*z + o - 2*z - 1. Determine x(2).\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (z*z**(-11)*z*z**16/z)**(-7/10) assuming z is positive.\n' | b'z**(-21/5)\n' | b'Simplify (z*z**(-11)*z*z**16/z)**(-7/10) assuming z is positive.\n' | b'z**(-21/5)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from fbffbbffbbzbzzfbb. Give prob of picking 2 z and 1 b.\n' | b'3/85\n' | b'Three letters picked without replacement from fbffbbffbbzbzzfbb. Give prob of picking 2 z and 1 b.\n' | b'3/85\n' | deepmind/math_dataset |
b'Let q be (-942)/(-9) + (-2)/3. Suppose 5*t - 4*a - q = 0, t + a = -t + 39. Suppose -4*r + 10 = r. Solve m - r*i - 9 = 0, 5*m + 0*i + 3*i = -t for m.\n' | b'-1\n' | b'Let q be (-942)/(-9) + (-2)/3. Suppose 5*t - 4*a - q = 0, t + a = -t + 39. Suppose -4*r + 10 = r. Solve m - r*i - 9 = 0, 5*m + 0*i + 3*i = -t for m.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (p*p**(-1/5)*(((p*p**5)/p*p)/p)/p)/(p**(-10/7)*p*p/(p/(p*(p/((((p/((p/((p*p*p**12*p*p)/p)*p)/p))/p*p*p)/p)/p)*p)/p*p))*p) assuming p is positive.\n' | b'p**(533/35)\n' | b'Simplify (p*p**(-1/5)*(((p*p**5)/p*p)/p)/p)/(p**(-10/7)*p*p/(p/(p*(p/((((p/((p/((p*p*p**12*p*p)/p)*p)/p))/p*p*p)/p)/p)*p)/p*p))*p) assuming p is positive.\n' | b'p**(533/35)\n' | deepmind/math_dataset |
b'Simplify (((a*a**(-4/23))/a)/((a/(a/a**27))/a))/(a**3/a*a*a/(a/a**(-17/3))) assuming a is positive.\n' | b'a**(-1622/69)\n' | b'Simplify (((a*a**(-4/23))/a)/((a/(a/a**27))/a))/(a**3/a*a*a/(a/a**(-17/3))) assuming a is positive.\n' | b'a**(-1622/69)\n' | deepmind/math_dataset |
b'Suppose 3*i = n - 0*n + 3, 4*n = 4*i + 4. Let w(q) be the first derivative of 1/3*q**3 - 5*q + 0*q**i - 2. What is w(0)?\n' | b'-5\n' | b'Suppose 3*i = n - 0*n + 3, 4*n = 4*i + 4. Let w(q) be the first derivative of 1/3*q**3 - 5*q + 0*q**i - 2. What is w(0)?\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {j: 1, s: 11, n: 8}. Give prob of sequence nnnn.\n' | b'14/969\n' | b'Four letters picked without replacement from {j: 1, s: 11, n: 8}. Give prob of sequence nnnn.\n' | b'14/969\n' | deepmind/math_dataset |
b'Simplify ((w**(1/4))**26*w**5*(w/(w/(w/w**(4/5))))/w*w)**(-13/7) assuming w is positive.\n' | b'w**(-1521/70)\n' | b'Simplify ((w**(1/4))**26*w**5*(w/(w/(w/w**(4/5))))/w*w)**(-13/7) assuming w is positive.\n' | b'w**(-1521/70)\n' | deepmind/math_dataset |
b'What is prob of picking 1 j and 3 n when four letters picked without replacement from jjjjjnjncnjnnnjncj?\n' | b'7/68\n' | b'What is prob of picking 1 j and 3 n when four letters picked without replacement from jjjjjnjncnjnnnjncj?\n' | b'7/68\n' | deepmind/math_dataset |
b'Let n be (8 - 12)*(2 + -3). Solve d - n = -3*l + 8, -2*d = 0 for l.\n' | b'4\n' | b'Let n be (8 - 12)*(2 + -3). Solve d - n = -3*l + 8, -2*d = 0 for l.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -d + 2*j = 3*j - 15, 4*j = -3*d + 42. Let o = 18 - d. What is the first derivative of -6*f + 4 + 5 + o - 4 wrt f?\n' | b'-6\n' | b'Suppose -d + 2*j = 3*j - 15, 4*j = -3*d + 42. Let o = 18 - d. What is the first derivative of -6*f + 4 + 5 + o - 4 wrt f?\n' | b'-6\n' | deepmind/math_dataset |
b'Let u(x) = -3*x**2 - 18*x**3 + 1 + 9*x**3 - 2*x + 8*x**3 - 5. Let y(j) = -2*j**3 - 3*j**2 - 3*j - 5. Let c(g) = 4*u(g) - 3*y(g). Determine c(2).\n' | b'5\n' | b'Let u(x) = -3*x**2 - 18*x**3 + 1 + 9*x**3 - 2*x + 8*x**3 - 5. Let y(j) = -2*j**3 - 3*j**2 - 3*j - 5. Let c(g) = 4*u(g) - 3*y(g). Determine c(2).\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {p: 3, r: 8}. Give prob of sequence rrrp.\n' | b'7/55\n' | b'Four letters picked without replacement from {p: 3, r: 8}. Give prob of sequence rrrp.\n' | b'7/55\n' | deepmind/math_dataset |
b'What is prob of picking 2 y when two letters picked without replacement from {s: 7, n: 2, y: 5}?\n' | b'10/91\n' | b'What is prob of picking 2 y when two letters picked without replacement from {s: 7, n: 2, y: 5}?\n' | b'10/91\n' | deepmind/math_dataset |
b'Let b be 3 - (3 + 5 + 0 + -7). Suppose 3*d + 111 = 120. Solve -v - 1 = -b*v, d*p - v = 14 for p.\n' | b'5\n' | b'Let b be 3 - (3 + 5 + 0 + -7). Suppose 3*d + 111 = 120. Solve -v - 1 = -b*v, d*p - v = 14 for p.\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from tnttgntc. What is prob of picking 2 c?\n' | b'0\n' | b'Two letters picked without replacement from tnttgntc. What is prob of picking 2 c?\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {j: 3, b: 1, a: 1, g: 5, u: 2}. What is prob of picking 1 a and 2 u?\n' | b'1/220\n' | b'Three letters picked without replacement from {j: 3, b: 1, a: 1, g: 5, u: 2}. What is prob of picking 1 a and 2 u?\n' | b'1/220\n' | deepmind/math_dataset |
b'What is prob of picking 1 g and 3 j when four letters picked without replacement from kgjjggkjgjgkggkjjjgj?\n' | b'448/4845\n' | b'What is prob of picking 1 g and 3 j when four letters picked without replacement from kgjjggkjgjgkggkjjjgj?\n' | b'448/4845\n' | deepmind/math_dataset |
b'Let q(d) = 0 - d**2 + 3 + 6 + 5*d - 3. Let o be (111/24)/1 - (-6)/16. Give q(o).\n' | b'6\n' | b'Let q(d) = 0 - d**2 + 3 + 6 + 5*d - 3. Let o be (111/24)/1 - (-6)/16. Give q(o).\n' | b'6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from prpbjzfbbbzf. Give prob of picking 1 j and 1 z.\n' | b'1/33\n' | b'Two letters picked without replacement from prpbjzfbbbzf. Give prob of picking 1 j and 1 z.\n' | b'1/33\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 i, 1 s, and 1 q when three letters picked without replacement from qzqqzszqqiszszz.\n' | b'3/91\n' | b'Calculate prob of picking 1 i, 1 s, and 1 q when three letters picked without replacement from qzqqzszqqiszszz.\n' | b'3/91\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 c and 1 a when three letters picked without replacement from aaaaaccacavaaaacaaca.\n' | b'7/57\n' | b'Calculate prob of picking 2 c and 1 a when three letters picked without replacement from aaaaaccacavaaaacaaca.\n' | b'7/57\n' | deepmind/math_dataset |
b'What is prob of sequence ee when two letters picked without replacement from eooweeoeoeeeoezea?\n' | b'9/34\n' | b'What is prob of sequence ee when two letters picked without replacement from eooweeoeoeeeoezea?\n' | b'9/34\n' | deepmind/math_dataset |
b'Simplify ((h*h/((h*(h*h/h**(-3/7)*h)/h*h)/h)*h)**26*(h**(-3/5)*h)**(-28))**(24/7) assuming h is positive.\n' | b'h**(-18768/245)\n' | b'Simplify ((h*h/((h*(h*h/h**(-3/7)*h)/h*h)/h)*h)**26*(h**(-3/5)*h)**(-28))**(24/7) assuming h is positive.\n' | b'h**(-18768/245)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 3, c: 2}. What is prob of picking 2 g?\n' | b'3/10\n' | b'Two letters picked without replacement from {g: 3, c: 2}. What is prob of picking 2 g?\n' | b'3/10\n' | deepmind/math_dataset |
b'Simplify (i**(-3/2)*i/(i/(i/((i**0*i)/i)))*i)/(i**(-8/5))**(-4) assuming i is positive.\n' | b'i**(-59/10)\n' | b'Simplify (i**(-3/2)*i/(i/(i/((i**0*i)/i)))*i)/(i**(-8/5))**(-4) assuming i is positive.\n' | b'i**(-59/10)\n' | deepmind/math_dataset |
b'Find the third derivative of 65*g + g**4 + 30*g - g**2 - 90*g - 90*g**3 wrt g.\n' | b'24*g - 540\n' | b'Find the third derivative of 65*g + g**4 + 30*g - g**2 - 90*g - 90*g**3 wrt g.\n' | b'24*g - 540\n' | deepmind/math_dataset |
b'Suppose -q - q = z - 10, z - 3*q = -5. Let y(k) = k**3 - 4*k**2 + k - 1. Let f be y(z). Solve 4*l + 4 = -v + 10, -l = v - f for v.\n' | b'2\n' | b'Suppose -q - q = z - 10, z - 3*q = -5. Let y(k) = k**3 - 4*k**2 + k - 1. Let f be y(z). Solve 4*l + 4 = -v + 10, -l = v - f for v.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (y/y**(2/15))/y*y*y/y**(-6) assuming y is positive.\n' | b'y**(118/15)\n' | b'Simplify (y/y**(2/15))/y*y*y/y**(-6) assuming y is positive.\n' | b'y**(118/15)\n' | deepmind/math_dataset |
b'Let x(i) = -4*i**3 + 12*i**2 - 16*i + 25. Let s be x(2). Solve -50*y + 45*y = -3*h, 3*h - 2*y = -s for h.\n' | b'-5\n' | b'Let x(i) = -4*i**3 + 12*i**2 - 16*i + 25. Let s be x(2). Solve -50*y + 45*y = -3*h, 3*h - 2*y = -s for h.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify j/(((j*j*j**(-4/5))/j)/j)*j*j**(2/5)*((j*j*j**(-2/21))/j)**(-31) assuming j is positive.\n' | b'j**(-2609/105)\n' | b'Simplify j/(((j*j*j**(-4/5))/j)/j)*j*j**(2/5)*((j*j*j**(-2/21))/j)**(-31) assuming j is positive.\n' | b'j**(-2609/105)\n' | deepmind/math_dataset |
b'What is prob of picking 2 x when two letters picked without replacement from xxxxxxffxfxfxx?\n' | b'45/91\n' | b'What is prob of picking 2 x when two letters picked without replacement from xxxxxxffxfxfxx?\n' | b'45/91\n' | deepmind/math_dataset |
b'Let t(i) be the second derivative of -i**6/30 - 7*i**3/6 - 7*i. Find the second derivative of t(p) wrt p.\n' | b'-12*p**2\n' | b'Let t(i) be the second derivative of -i**6/30 - 7*i**3/6 - 7*i. Find the second derivative of t(p) wrt p.\n' | b'-12*p**2\n' | deepmind/math_dataset |
b'Simplify (u**(-3)/((u*u/(u*(u*u**(-11)/u)/u))/u)*(u*u/(u**(-17)/u*u))/u*u**6)**(-2/159) assuming u is positive.\n' | b'u**(-6/53)\n' | b'Simplify (u**(-3)/((u*u/(u*(u*u**(-11)/u)/u))/u)*(u*u/(u**(-17)/u*u))/u*u**6)**(-2/159) assuming u is positive.\n' | b'u**(-6/53)\n' | deepmind/math_dataset |
b'Let i(a) = -43*a - 210. Let b be i(-5). Let o(c) = c**2 - 4*c - 8. Determine o(b).\n' | b'-3\n' | b'Let i(a) = -43*a - 210. Let b be i(-5). Let o(c) = c**2 - 4*c - 8. Determine o(b).\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from sblbbhlllbh. Give prob of picking 1 l and 1 b.\n' | b'16/55\n' | b'Two letters picked without replacement from sblbbhlllbh. Give prob of picking 1 l and 1 b.\n' | b'16/55\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r, 2 v, and 1 x when four letters picked without replacement from rxrv.\n' | b'0\n' | b'Calculate prob of picking 1 r, 2 v, and 1 x when four letters picked without replacement from rxrv.\n' | b'0\n' | deepmind/math_dataset |
b'Let w be 3 - (-2 + 13 - 2). Let t(h) = -2*h + 10. Let b(c) = -c + 5. Let r = -4 - 5. Let n(f) = r*b(f) + 4*t(f). Give n(w).\n' | b'-11\n' | b'Let w be 3 - (-2 + 13 - 2). Let t(h) = -2*h + 10. Let b(c) = -c + 5. Let r = -4 - 5. Let n(f) = r*b(f) + 4*t(f). Give n(w).\n' | b'-11\n' | deepmind/math_dataset |
b'Simplify (s**(-1/8)/s*s*s*s*s**(-2/13))/(((s/((s*s**(2/15))/s))/s)/s**(-3)) assuming s is positive.\n' | b's**(-1787/1560)\n' | b'Simplify (s**(-1/8)/s*s*s*s*s**(-2/13))/(((s/((s*s**(2/15))/s))/s)/s**(-3)) assuming s is positive.\n' | b's**(-1787/1560)\n' | deepmind/math_dataset |
b'Let s(k) = 2*k + 1. Let r(o) = 2*o + 1. Let d(h) = -5*r(h) + 6*s(h). Let c(a) = a**2 - 4*a + 2. Let m be c(4). Determine d(m).\n' | b'5\n' | b'Let s(k) = 2*k + 1. Let r(o) = 2*o + 1. Let d(h) = -5*r(h) + 6*s(h). Let c(a) = a**2 - 4*a + 2. Let m be c(4). Determine d(m).\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((b*b**(-4)*b**(2/51))/((b**(-5/6)*b)/b)**16)**(1/51) assuming b is positive.\n' | b'b**(529/2601)\n' | b'Simplify ((b*b**(-4)*b**(2/51))/((b**(-5/6)*b)/b)**16)**(1/51) assuming b is positive.\n' | b'b**(529/2601)\n' | deepmind/math_dataset |
b'Simplify ((o/(o*o*o**(-3/11)*o*o*o))/o**(-1/4))/(o**4*o)**(-2/97) assuming o is positive.\n' | b'o**(-14401/4268)\n' | b'Simplify ((o/(o*o*o**(-3/11)*o*o*o))/o**(-1/4))/(o**4*o)**(-2/97) assuming o is positive.\n' | b'o**(-14401/4268)\n' | deepmind/math_dataset |
b'Let h(v) = v**2 + 12*v - 68. Let j be h(4). Let o be ((-23)/184)/((-2)/(-20))*j. Let l(y) = 2*y + 1. Determine l(o).\n' | b'11\n' | b'Let h(v) = v**2 + 12*v - 68. Let j be h(4). Let o be ((-23)/184)/((-2)/(-20))*j. Let l(y) = 2*y + 1. Determine l(o).\n' | b'11\n' | deepmind/math_dataset |
b'Let x be -2 + 5 - 9/(27/6). Let u be -10 - (1 + -8) - (-9 - x). Solve 0 + 14 = 4*r + 2*v, -r + u = -3*v for r.\n' | b'4\n' | b'Let x be -2 + 5 - 9/(27/6). Let u be -10 - (1 + -8) - (-9 - x). Solve 0 + 14 = 4*r + 2*v, -r + u = -3*v for r.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from oooooossttststoo. What is prob of picking 1 s, 1 t, and 1 o?\n' | b'8/35\n' | b'Three letters picked without replacement from oooooossttststoo. What is prob of picking 1 s, 1 t, and 1 o?\n' | b'8/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from eiemiimktie. What is prob of picking 1 k and 1 e?\n' | b'3/55\n' | b'Two letters picked without replacement from eiemiimktie. What is prob of picking 1 k and 1 e?\n' | b'3/55\n' | deepmind/math_dataset |
b'Let b(h) = h**3 - 2*h**2 - 4. Let g be (-34)/(-12) - (-8 + 7*376/336). Determine b(g).\n' | b'5\n' | b'Let b(h) = h**3 - 2*h**2 - 4. Let g be (-34)/(-12) - (-8 + 7*376/336). Determine b(g).\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence pw when two letters picked without replacement from {p: 4, n: 3, u: 1, y: 2, z: 1, w: 4}.\n' | b'8/105\n' | b'Calculate prob of sequence pw when two letters picked without replacement from {p: 4, n: 3, u: 1, y: 2, z: 1, w: 4}.\n' | b'8/105\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m and 1 p when two letters picked without replacement from kpnmmnpnny.\n' | b'4/45\n' | b'Calculate prob of picking 1 m and 1 p when two letters picked without replacement from kpnmmnpnny.\n' | b'4/45\n' | deepmind/math_dataset |
b'Suppose -11 = -u - 5. Let j be (-3)/u - (-15)/10. Solve -4*w - 2 = 5*q, -2*q - j = 3 for w.\n' | b'2\n' | b'Suppose -11 = -u - 5. Let j be (-3)/u - (-15)/10. Solve -4*w - 2 = 5*q, -2*q - j = 3 for w.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence htt when three letters picked without replacement from {t: 8, k: 2, h: 4, f: 3}?\n' | b'14/255\n' | b'What is prob of sequence htt when three letters picked without replacement from {t: 8, k: 2, h: 4, f: 3}?\n' | b'14/255\n' | deepmind/math_dataset |
b'Let p(s) = -s**2 - 31*s - 24. Suppose -1190 = 24*c - 470. What is p(c)?\n' | b'6\n' | b'Let p(s) = -s**2 - 31*s - 24. Suppose -1190 = 24*c - 470. What is p(c)?\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of sequence gm when two letters picked without replacement from {z: 1, j: 1, m: 1, u: 1, g: 1}.\n' | b'1/20\n' | b'Calculate prob of sequence gm when two letters picked without replacement from {z: 1, j: 1, m: 1, u: 1, g: 1}.\n' | b'1/20\n' | deepmind/math_dataset |
b'Let b = 37982 + -37970. Solve 6 + 9 = 5*d + c, 4*d = -4*c + b for d.\n' | b'3\n' | b'Let b = 37982 + -37970. Solve 6 + 9 = 5*d + c, 4*d = -4*c + b for d.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence tjn when three letters picked without replacement from {j: 2, n: 2, t: 5}.\n' | b'5/126\n' | b'Calculate prob of sequence tjn when three letters picked without replacement from {j: 2, n: 2, t: 5}.\n' | b'5/126\n' | deepmind/math_dataset |
b'Suppose -b + 13 = 5*y, -4*b - 5 - 6 = -y. Solve 4*o - y*m - 20 = -8, 4*m + 15 = 5*o for o.\n' | b'3\n' | b'Suppose -b + 13 = 5*y, -4*b - 5 - 6 = -y. Solve 4*o - y*m - 20 = -8, 4*m + 15 = 5*o for o.\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from cccxcxddxdx. Give prob of sequence dxxx.\n' | b'1/110\n' | b'Four letters picked without replacement from cccxcxddxdx. Give prob of sequence dxxx.\n' | b'1/110\n' | deepmind/math_dataset |
b'Let f(x) be the second derivative of 211*x**6/30 - 7*x**3/3 - x**2/2 + 124*x. What is the second derivative of f(a) wrt a?\n' | b'2532*a**2\n' | b'Let f(x) be the second derivative of 211*x**6/30 - 7*x**3/3 - x**2/2 + 124*x. What is the second derivative of f(a) wrt a?\n' | b'2532*a**2\n' | deepmind/math_dataset |
b'Let n(t) = 2*t + 45. Let o be n(-18). Let q(f) = f**2 - 11*f + 9. Give q(o).\n' | b'-9\n' | b'Let n(t) = 2*t + 45. Let o be n(-18). Let q(f) = f**2 - 11*f + 9. Give q(o).\n' | b'-9\n' | deepmind/math_dataset |
b'What is the second derivative of -580*s + 350*s + 37*s**4 - 39*s**4 - 614*s + 938*s**2 wrt s?\n' | b'-24*s**2 + 1876\n' | b'What is the second derivative of -580*s + 350*s + 37*s**4 - 39*s**4 - 614*s + 938*s**2 wrt s?\n' | b'-24*s**2 + 1876\n' | deepmind/math_dataset |
b'Simplify (s*s**(1/5)*s**(-2/3))**32/((s**(1/4))**(-4/7))**(-6/11) assuming s is positive.\n' | b's**(19622/1155)\n' | b'Simplify (s*s**(1/5)*s**(-2/3))**32/((s**(1/4))**(-4/7))**(-6/11) assuming s is positive.\n' | b's**(19622/1155)\n' | deepmind/math_dataset |
b'Simplify ((a/(a/a**1))/a)**(-25/3)/((a/a**1)/a)**(-40)*a**(-1/7)/a**(-1/5)*(a**(-2)*a)/(a*a**(-2/9)) assuming a is positive.\n' | b'a**(-13142/315)\n' | b'Simplify ((a/(a/a**1))/a)**(-25/3)/((a/a**1)/a)**(-40)*a**(-1/7)/a**(-1/5)*(a**(-2)*a)/(a*a**(-2/9)) assuming a is positive.\n' | b'a**(-13142/315)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 1, o: 1, a: 1, p: 1, q: 1}. Give prob of picking 1 o, 1 f, and 1 q.\n' | b'1/10\n' | b'Three letters picked without replacement from {f: 1, o: 1, a: 1, p: 1, q: 1}. Give prob of picking 1 o, 1 f, and 1 q.\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify ((w*w/((w/w**(-2))/w)*w)/w)/(w*w/((w/(w/(w/(w*w*w/w**(-7/3)*w*w)*w)))/w))*w**(-2)*w/((w**(-10)/w)/w) assuming w is positive.\n' | b'w**(8/3)\n' | b'Simplify ((w*w/((w/w**(-2))/w)*w)/w)/(w*w/((w/(w/(w/(w*w*w/w**(-7/3)*w*w)*w)))/w))*w**(-2)*w/((w**(-10)/w)/w) assuming w is positive.\n' | b'w**(8/3)\n' | deepmind/math_dataset |
b'What is prob of sequence ww when two letters picked without replacement from zwfyw?\n' | b'1/10\n' | b'What is prob of sequence ww when two letters picked without replacement from zwfyw?\n' | b'1/10\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 3, s: 1}. What is prob of sequence gsgs?\n' | b'0\n' | b'Four letters picked without replacement from {g: 3, s: 1}. What is prob of sequence gsgs?\n' | b'0\n' | deepmind/math_dataset |
b'Let h(p) = 20*p + 323. Let t be h(-16). Solve -3*u + 14 = -4*w, 0 = t*u + 5*w - 10 + 41 for u.\n' | b'-2\n' | b'Let h(p) = 20*p + 323. Let t be h(-16). Solve -3*u + 14 = -4*w, 0 = t*u + 5*w - 10 + 41 for u.\n' | b'-2\n' | deepmind/math_dataset |
b'Let y = 25 - 16. What is the derivative of 7 - y*j + 3 - 8*j**4 + 9*j wrt j?\n' | b'-32*j**3\n' | b'Let y = 25 - 16. What is the derivative of 7 - y*j + 3 - 8*j**4 + 9*j wrt j?\n' | b'-32*j**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from rkkrkkkrkrkkkkkkkkk. What is prob of sequence rkkr?\n' | b'35/1292\n' | b'Four letters picked without replacement from rkkrkkkrkrkkkkkkkkk. What is prob of sequence rkkr?\n' | b'35/1292\n' | deepmind/math_dataset |
b'Let r(j) = j - 4. Let v = 37 - 43. Let l be ((-2)/(-2))/(2/v). Calculate r(l).\n' | b'-7\n' | b'Let r(j) = j - 4. Let v = 37 - 43. Let l be ((-2)/(-2))/(2/v). Calculate r(l).\n' | b'-7\n' | deepmind/math_dataset |
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