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 ((s/(s/(s**(-9)*s))*s)/(s*s/(s**27*s*s)))/(s**(2/47))**(-7) assuming s is positive.\n' | b's**(954/47)\n' | b'Simplify ((s/(s/(s**(-9)*s))*s)/(s*s/(s**27*s*s)))/(s**(2/47))**(-7) assuming s is positive.\n' | b's**(954/47)\n' | deepmind/math_dataset |
b'Suppose 2*t - 9 - 5 = -2*a, 0 = -2*t - 3*a + 18. Let b = 5 - t. Find the third derivative of -p**2 + 2*p**b - p**6 - 2*p**6 wrt p.\n' | b'-360*p**3\n' | b'Suppose 2*t - 9 - 5 = -2*a, 0 = -2*t - 3*a + 18. Let b = 5 - t. Find the third derivative of -p**2 + 2*p**b - p**6 - 2*p**6 wrt p.\n' | b'-360*p**3\n' | deepmind/math_dataset |
b'What is prob of picking 2 z when two letters picked without replacement from bzjzbezkebzbzzej?\n' | b'1/8\n' | b'What is prob of picking 2 z when two letters picked without replacement from bzjzbezkebzbzzej?\n' | b'1/8\n' | deepmind/math_dataset |
b'Let j(x) = -x**3 + 2 + 1 + 19*x**2 - 27*x**2. Determine j(-8).\n' | b'3\n' | b'Let j(x) = -x**3 + 2 + 1 + 19*x**2 - 27*x**2. Determine j(-8).\n' | b'3\n' | deepmind/math_dataset |
b'Let s be (61 - 62)/((-2)/666). Suppose 5*h = -32*h + s. Let k(a) = 1 + 2 + a - 2*a. Calculate k(h).\n' | b'-6\n' | b'Let s be (61 - 62)/((-2)/666). Suppose 5*h = -32*h + s. Let k(a) = 1 + 2 + a - 2*a. Calculate k(h).\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify ((h**0)**8)**(-3/2)*(h*h/h**(1/9)*h*h**(4/3))**(-1/60) assuming h is positive.\n' | b'h**(-19/270)\n' | b'Simplify ((h**0)**8)**(-3/2)*(h*h/h**(1/9)*h*h**(4/3))**(-1/60) assuming h is positive.\n' | b'h**(-19/270)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 7, f: 2, g: 6}. What is prob of sequence fd?\n' | b'1/15\n' | b'Two letters picked without replacement from {d: 7, f: 2, g: 6}. What is prob of sequence fd?\n' | b'1/15\n' | deepmind/math_dataset |
b'Four letters picked without replacement from oosohsi. Give prob of picking 1 o, 2 i, and 1 s.\n' | b'0\n' | b'Four letters picked without replacement from oosohsi. Give prob of picking 1 o, 2 i, and 1 s.\n' | b'0\n' | deepmind/math_dataset |
b'Let t(r) = -r**2 + 2*r + 2. Let i(m) = -m**2 + 3*m + 3. Let w(c) = -5*i(c) + 6*t(c). Suppose -204*y + 38 = -4*z - 203*y, -2*z = y + 10. Give w(z).\n' | b'-43\n' | b'Let t(r) = -r**2 + 2*r + 2. Let i(m) = -m**2 + 3*m + 3. Let w(c) = -5*i(c) + 6*t(c). Suppose -204*y + 38 = -4*z - 203*y, -2*z = y + 10. Give w(z).\n' | b'-43\n' | deepmind/math_dataset |
b'Simplify (b/(b*b*b**(1/30)))/b**13 assuming b is positive.\n' | b'b**(-421/30)\n' | b'Simplify (b/(b*b*b**(1/30)))/b**13 assuming b is positive.\n' | b'b**(-421/30)\n' | deepmind/math_dataset |
b'Simplify (l**0/l**(3/5))**(-22/7)*((l**(4/5)/l)/((l*l**(2/3)*l*l)/l))/(l**(-3/7)*l**7) assuming l is positive.\n' | b'l**(-793/105)\n' | b'Simplify (l**0/l**(3/5))**(-22/7)*((l**(4/5)/l)/((l*l**(2/3)*l*l)/l))/(l**(-3/7)*l**7) assuming l is positive.\n' | b'l**(-793/105)\n' | deepmind/math_dataset |
b'Let b(t) be the third derivative of 551*t**8/336 - 511*t**4/24 + 4*t**2 + 35*t - 2. What is the second derivative of b(m) wrt m?\n' | b'11020*m**3\n' | b'Let b(t) be the third derivative of 551*t**8/336 - 511*t**4/24 + 4*t**2 + 35*t - 2. What is the second derivative of b(m) wrt m?\n' | b'11020*m**3\n' | deepmind/math_dataset |
b'Simplify ((((h*h/(h*h/h**(11/4)*h))/h)/h)/(h/h**(-2/3)))/(((h/h**(-10))/h)/((h**3/h*h)/h)) assuming h is positive.\n' | b'h**(-119/12)\n' | b'Simplify ((((h*h/(h*h/h**(11/4)*h))/h)/h)/(h/h**(-2/3)))/(((h/h**(-10))/h)/((h**3/h*h)/h)) assuming h is positive.\n' | b'h**(-119/12)\n' | deepmind/math_dataset |
b'Let u(c) = -77*c - 90. Suppose -2*k + 31 = 23. Let y(t) = -37*t - 45. Let i(j) = k*u(j) - 7*y(j). What is the derivative of i(z) wrt z?\n' | b'-49\n' | b'Let u(c) = -77*c - 90. Suppose -2*k + 31 = 23. Let y(t) = -37*t - 45. Let i(j) = k*u(j) - 7*y(j). What is the derivative of i(z) wrt z?\n' | b'-49\n' | deepmind/math_dataset |
b'Simplify ((h*h**(-8)*h)/h)/((h/(h/(h**(-4/7)*h*h*h)))/h) assuming h is positive.\n' | b'h**(-59/7)\n' | b'Simplify ((h*h**(-8)*h)/h)/((h/(h/(h**(-4/7)*h*h*h)))/h) assuming h is positive.\n' | b'h**(-59/7)\n' | deepmind/math_dataset |
b'Suppose 20 = 4*u + 16, 3*x = -5*u - 31. Let j be (44/x + 5 + -2)*-3. Solve 4 = -4*l - 4*p, 3*l + p + 1 = -j for l.\n' | b'-1\n' | b'Suppose 20 = 4*u + 16, 3*x = -5*u - 31. Let j be (44/x + 5 + -2)*-3. Solve 4 = -4*l - 4*p, 3*l + p + 1 = -j for l.\n' | b'-1\n' | deepmind/math_dataset |
b'Let f(t) = -29*t**3 + 6*t**2 + 149*t. Let x(l) = 59*l**3 - 11*l**2 - 298*l. Let y(w) = 7*f(w) + 4*x(w). Find the second derivative of y(j) wrt j.\n' | b'198*j - 4\n' | b'Let f(t) = -29*t**3 + 6*t**2 + 149*t. Let x(l) = 59*l**3 - 11*l**2 - 298*l. Let y(w) = 7*f(w) + 4*x(w). Find the second derivative of y(j) wrt j.\n' | b'198*j - 4\n' | deepmind/math_dataset |
b'Let p be (10/(-7))/(4/(-7)). Let w(f) be the first derivative of 2*f - p*f**2 - 4. Find the first derivative of w(r) wrt r.\n' | b'-5\n' | b'Let p be (10/(-7))/(4/(-7)). Let w(f) be the first derivative of 2*f - p*f**2 - 4. Find the first derivative of w(r) wrt r.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 q when two letters picked without replacement from {q: 16, p: 2}.\n' | b'40/51\n' | b'Calculate prob of picking 2 q when two letters picked without replacement from {q: 16, p: 2}.\n' | b'40/51\n' | deepmind/math_dataset |
b'Suppose 65 = 20*k + 445. Let x(g) = g**2 + 21*g + 38. Calculate x(k).\n' | b'0\n' | b'Suppose 65 = 20*k + 445. Let x(g) = g**2 + 21*g + 38. Calculate x(k).\n' | b'0\n' | deepmind/math_dataset |
b'Find the third derivative of 414*i**5 - 17*i**6 - 414*i**5 + 30*i**2 wrt i.\n' | b'-2040*i**3\n' | b'Find the third derivative of 414*i**5 - 17*i**6 - 414*i**5 + 30*i**2 wrt i.\n' | b'-2040*i**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kgmcs. What is prob of picking 1 k and 1 g?\n' | b'1/10\n' | b'Two letters picked without replacement from kgmcs. What is prob of picking 1 k and 1 g?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let n(x) = -x + 1. Let c(i) = -3*i - 12. Let s(j) = 2*c(j) - 2*n(j). Determine s(-4).\n' | b'-10\n' | b'Let n(x) = -x + 1. Let c(i) = -3*i - 12. Let s(j) = 2*c(j) - 2*n(j). Determine s(-4).\n' | b'-10\n' | deepmind/math_dataset |
b'What is prob of sequence eqee when four letters picked without replacement from eeeeyyyeqyeeyry?\n' | b'1/156\n' | b'What is prob of sequence eqee when four letters picked without replacement from eeeeyyyeqyeeyry?\n' | b'1/156\n' | deepmind/math_dataset |
b'Suppose -2*r + 30 = -4. Let q = r + -5. Solve -2*n = k + q, 4*n - k + 23 = -n for n.\n' | b'-5\n' | b'Suppose -2*r + 30 = -4. Let q = r + -5. Solve -2*n = k + q, 4*n - k + 23 = -n for n.\n' | b'-5\n' | deepmind/math_dataset |
b'Let w be 5/10*(2 + -4)*12. Let c(n) = -n + n**3 - 14 - 11*n**2 - 20*n**2 + 65*n**2 - 22*n**2. Calculate c(w).\n' | b'-2\n' | b'Let w be 5/10*(2 + -4)*12. Let c(n) = -n + n**3 - 14 - 11*n**2 - 20*n**2 + 65*n**2 - 22*n**2. Calculate c(w).\n' | b'-2\n' | deepmind/math_dataset |
b'Let g(t) = t**3 + 2*t**2 - 14*t - 20. Let n be g(-4). Solve 2*d - 4 = -n*w, -11*w + 5 = -3*d - 6*w for d.\n' | b'0\n' | b'Let g(t) = t**3 + 2*t**2 - 14*t - 20. Let n be g(-4). Solve 2*d - 4 = -n*w, -11*w + 5 = -3*d - 6*w for d.\n' | b'0\n' | deepmind/math_dataset |
b'Let f(j) = 174*j + 421. Let x(u) = 85*u + 195. Let r(z) = -6*f(z) + 13*x(z). Calculate r(2).\n' | b'131\n' | b'Let f(j) = 174*j + 421. Let x(u) = 85*u + 195. Let r(z) = -6*f(z) + 13*x(z). Calculate r(2).\n' | b'131\n' | deepmind/math_dataset |
b'Simplify (a**(-2/53))**(-48) assuming a is positive.\n' | b'a**(96/53)\n' | b'Simplify (a**(-2/53))**(-48) assuming a is positive.\n' | b'a**(96/53)\n' | deepmind/math_dataset |
b'Let m be (-4)/(-2) + -9 + 11. Let o(y) = -2*y**3 - 4*y**2 - 5*y - 5. Let h be o(-3). Let b be 3/12 + 21/h. Solve -w - i - 4 = b, -8 = m*i for w.\n' | b'-3\n' | b'Let m be (-4)/(-2) + -9 + 11. Let o(y) = -2*y**3 - 4*y**2 - 5*y - 5. Let h be o(-3). Let b be 3/12 + 21/h. Solve -w - i - 4 = b, -8 = m*i for w.\n' | b'-3\n' | deepmind/math_dataset |
b'Let i = 14 - 8. Suppose i - 4 = k. Suppose k*m + 20 = -2*m. Let s(f) = f + 7. Give s(m).\n' | b'2\n' | b'Let i = 14 - 8. Suppose i - 4 = k. Suppose k*m + 20 = -2*m. Let s(f) = f + 7. Give s(m).\n' | b'2\n' | deepmind/math_dataset |
b'Let s(d) = d**2 + 13*d + 16. Let c be s(-12). Let a = -2 + c. Find the second derivative of -5*r**2 + 8*r - 2*r**a + 18*r - 10*r wrt r.\n' | b'-14\n' | b'Let s(d) = d**2 + 13*d + 16. Let c be s(-12). Let a = -2 + c. Find the second derivative of -5*r**2 + 8*r - 2*r**a + 18*r - 10*r wrt r.\n' | b'-14\n' | deepmind/math_dataset |
b'Simplify (d**(2/7))**(-39)/(d*d/(d/d**(-1))*d)**(-9) assuming d is positive.\n' | b'd**(-15/7)\n' | b'Simplify (d**(2/7))**(-39)/(d*d/(d/d**(-1))*d)**(-9) assuming d is positive.\n' | b'd**(-15/7)\n' | deepmind/math_dataset |
b'Suppose -5*u - 8 + 83 = 0. Let p(o) = 0 + u*o**3 - 8*o**3 - 6*o**3 - 6*o**2 - 12. Give p(6).\n' | b'-12\n' | b'Suppose -5*u - 8 + 83 = 0. Let p(o) = 0 + u*o**3 - 8*o**3 - 6*o**3 - 6*o**2 - 12. Give p(6).\n' | b'-12\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 l and 2 i when three letters picked without replacement from {s: 1, i: 1, l: 1, k: 2, v: 2}.\n' | b'0\n' | b'Calculate prob of picking 1 l and 2 i when three letters picked without replacement from {s: 1, i: 1, l: 1, k: 2, v: 2}.\n' | b'0\n' | deepmind/math_dataset |
b'Let g(p) = -2 + 0 - p**3 - 18*p**2 + 13*p**2 - 1. Determine g(-4).\n' | b'-19\n' | b'Let g(p) = -2 + 0 - p**3 - 18*p**2 + 13*p**2 - 1. Determine g(-4).\n' | b'-19\n' | deepmind/math_dataset |
b'Let i be 2/(-3) - (-3 - (-113)/(-3)). Suppose 4*x = -5*a + 106, 4*a = 2*x + x - 95. Let s = i - x. Solve -s = 3*o + d, -2*d + 5 = -o - 3*d for o.\n' | b'-3\n' | b'Let i be 2/(-3) - (-3 - (-113)/(-3)). Suppose 4*x = -5*a + 106, 4*a = 2*x + x - 95. Let s = i - x. Solve -s = 3*o + d, -2*d + 5 = -o - 3*d for o.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 1 r when two letters picked without replacement from xrxuulhxxl?\n' | b'2/45\n' | b'What is prob of picking 1 u and 1 r when two letters picked without replacement from xrxuulhxxl?\n' | b'2/45\n' | deepmind/math_dataset |
b'Let u(d) be the first derivative of -2*d**3/3 + d**2/2 + d + 3. Let z = -8 - -4. Let j be z*((-6)/(-4))/(-11 + 8). Give u(j).\n' | b'-5\n' | b'Let u(d) be the first derivative of -2*d**3/3 + d**2/2 + d + 3. Let z = -8 - -4. Let j be z*((-6)/(-4))/(-11 + 8). Give u(j).\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 4*t + 2*x + 4 = 0, -4*t - 11 = -x - 1. Let q be t/(-6) - (-70)/(-180)*6. Let r(a) = 5*a**2 + a + 2. Determine r(q).\n' | b'20\n' | b'Suppose 4*t + 2*x + 4 = 0, -4*t - 11 = -x - 1. Let q be t/(-6) - (-70)/(-180)*6. Let r(a) = 5*a**2 + a + 2. Determine r(q).\n' | b'20\n' | deepmind/math_dataset |
b'Let z(w) be the second derivative of -w**6/360 + w**5/60 - w**4/6 + w. Let b(g) be the third derivative of z(g). Let q be 4/10 + (-32)/(-20). Give b(q).\n' | b'-2\n' | b'Let z(w) be the second derivative of -w**6/360 + w**5/60 - w**4/6 + w. Let b(g) be the third derivative of z(g). Let q be 4/10 + (-32)/(-20). Give b(q).\n' | b'-2\n' | deepmind/math_dataset |
b'Let o be 6/(-3)*(-1 - 5). Solve -5 = 5*c + 2*q + 7, 4*c + o = -q for c.\n' | b'-4\n' | b'Let o be 6/(-3)*(-1 - 5). Solve -5 = 5*c + 2*q + 7, 4*c + o = -q for c.\n' | b'-4\n' | deepmind/math_dataset |
b'Let w(u) = -u - 9. Let z be 3 + (-4)/12*-3. Suppose -k - r = 2*k + 4, -2*k - 16 = z*r. Determine w(k).\n' | b'-9\n' | b'Let w(u) = -u - 9. Let z be 3 + (-4)/12*-3. Suppose -k - r = 2*k + 4, -2*k - 16 = z*r. Determine w(k).\n' | b'-9\n' | deepmind/math_dataset |
b'Simplify (f/(f*f**(-8))*f*f**(-6/5))/(f*f*f/(f**(1/5)/f*f)*f)**43 assuming f is positive.\n' | b'f**(-778/5)\n' | b'Simplify (f/(f*f**(-8))*f*f**(-6/5))/(f*f*f/(f**(1/5)/f*f)*f)**43 assuming f is positive.\n' | b'f**(-778/5)\n' | deepmind/math_dataset |
b'Calculate prob of sequence vv when two letters picked without replacement from {j: 2, b: 6, m: 4, t: 2, c: 1, v: 3}.\n' | b'1/51\n' | b'Calculate prob of sequence vv when two letters picked without replacement from {j: 2, b: 6, m: 4, t: 2, c: 1, v: 3}.\n' | b'1/51\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 2, v: 3, y: 3, b: 3, h: 2}. What is prob of sequence bh?\n' | b'1/26\n' | b'Two letters picked without replacement from {e: 2, v: 3, y: 3, b: 3, h: 2}. What is prob of sequence bh?\n' | b'1/26\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 o and 1 f when two letters picked without replacement from {k: 9, o: 2, m: 8, f: 1}.\n' | b'1/95\n' | b'Calculate prob of picking 1 o and 1 f when two letters picked without replacement from {k: 9, o: 2, m: 8, f: 1}.\n' | b'1/95\n' | deepmind/math_dataset |
b'Let p be (-1)/2 + 14/4. Suppose 2*j - 2 = 5*w - 8, -6 = -p*w. What is the second derivative of 4*t**j - 6*t**2 - t + 0*t wrt t?\n' | b'-4\n' | b'Let p be (-1)/2 + 14/4. Suppose 2*j - 2 = 5*w - 8, -6 = -p*w. What is the second derivative of 4*t**j - 6*t**2 - t + 0*t wrt t?\n' | b'-4\n' | deepmind/math_dataset |
b'Let o(t) = -7*t**2 - 42*t + 389. Let k be o(-11). Solve -2 = -c - 23*w + 19*w, -8 = -k*c + 3*w for c.\n' | b'2\n' | b'Let o(t) = -7*t**2 - 42*t + 389. Let k be o(-11). Solve -2 = -c - 23*w + 19*w, -8 = -k*c + 3*w for c.\n' | b'2\n' | deepmind/math_dataset |
b'Let k(s) = 2*s**2 + 2*s - 1. Let a be k(1). Differentiate a*c - 5*c - 3*c - 10 + 2*c wrt c.\n' | b'-3\n' | b'Let k(s) = 2*s**2 + 2*s - 1. Let a be k(1). Differentiate a*c - 5*c - 3*c - 10 + 2*c wrt c.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (c**(-2/53)*c)**0/(c*c**(-12/7)*c*c/(c/(c*c**(-1/6))*c)) assuming c is positive.\n' | b'c**(-5/42)\n' | b'Simplify (c**(-2/53)*c)**0/(c*c**(-12/7)*c*c/(c/(c*c**(-1/6))*c)) assuming c is positive.\n' | b'c**(-5/42)\n' | deepmind/math_dataset |
b'Let z be (2 - 3/2)*10. Suppose 0 = -3*r + c + 9, -z*r - c - 4*c + 35 = 0. Let s be (-8)/2*(-3)/2. Solve 2*i + s*b = b - 6, i + 6 = -r*b for i.\n' | b'2\n' | b'Let z be (2 - 3/2)*10. Suppose 0 = -3*r + c + 9, -z*r - c - 4*c + 35 = 0. Let s be (-8)/2*(-3)/2. Solve 2*i + s*b = b - 6, i + 6 = -r*b for i.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 2 p when two letters picked without replacement from kkkkkpkkkpkkppkkkk?\n' | b'2/51\n' | b'What is prob of picking 2 p when two letters picked without replacement from kkkkkpkkkpkkppkkkk?\n' | b'2/51\n' | deepmind/math_dataset |
b'Suppose -j - 2 = -12. Find the third derivative of -31*z**6 - 9*z**2 + j*z**2 + 24*z**6 wrt z.\n' | b'-840*z**3\n' | b'Suppose -j - 2 = -12. Find the third derivative of -31*z**6 - 9*z**2 + j*z**2 + 24*z**6 wrt z.\n' | b'-840*z**3\n' | deepmind/math_dataset |
b'What is the second derivative of -25*r**3 + 25*r**3 + 13*r**5 + 2*r**5 - 14*r wrt r?\n' | b'300*r**3\n' | b'What is the second derivative of -25*r**3 + 25*r**3 + 13*r**5 + 2*r**5 - 14*r wrt r?\n' | b'300*r**3\n' | deepmind/math_dataset |
b'Let c = 32 - 24. Let r be c - -6*(-3)/6. Solve 1 = -2*z - 2*m + 5, -r = -z + 2*m for z.\n' | b'3\n' | b'Let c = 32 - 24. Let r be c - -6*(-3)/6. Solve 1 = -2*z - 2*m + 5, -r = -z + 2*m for z.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence qqjy when four letters picked without replacement from qqqqqqqqqqjqqyqqqq.\n' | b'1/306\n' | b'Calculate prob of sequence qqjy when four letters picked without replacement from qqqqqqqqqqjqqyqqqq.\n' | b'1/306\n' | deepmind/math_dataset |
b'Let l(o) be the first derivative of o**3/3 - 8*o**2 + 3*o - 26. What is the derivative of l(q) wrt q?\n' | b'2*q - 16\n' | b'Let l(o) be the first derivative of o**3/3 - 8*o**2 + 3*o - 26. What is the derivative of l(q) wrt q?\n' | b'2*q - 16\n' | deepmind/math_dataset |
b'Two letters picked without replacement from dibbdsgsiibdadd. What is prob of picking 2 s?\n' | b'1/105\n' | b'Two letters picked without replacement from dibbdsgsiibdadd. What is prob of picking 2 s?\n' | b'1/105\n' | deepmind/math_dataset |
b'Let m(v) be the first derivative of v**2/2 - 3*v - 2. Suppose 2*i + 2 + 19 = 3*n, -2*n + 14 = 5*i. Let b be m(n). Solve 4*x + 3 = 3*c, -5*c + b = x - c for x.\n' | b'0\n' | b'Let m(v) be the first derivative of v**2/2 - 3*v - 2. Suppose 2*i + 2 + 19 = 3*n, -2*n + 14 = 5*i. Let b be m(n). Solve 4*x + 3 = 3*c, -5*c + b = x - c for x.\n' | b'0\n' | deepmind/math_dataset |
b'Let u(t) be the second derivative of -34*t**7/21 - t**4/12 - 14*t**2 + 4*t - 2. Find the third derivative of u(a) wrt a.\n' | b'-4080*a**2\n' | b'Let u(t) be the second derivative of -34*t**7/21 - t**4/12 - 14*t**2 + 4*t - 2. Find the third derivative of u(a) wrt a.\n' | b'-4080*a**2\n' | deepmind/math_dataset |
b'Suppose -3*q - 2*q + 40 = 0. Find the third derivative of 25*h**4 - 57*h**4 + 32*h**4 + q*h**2 + 2*h**5 wrt h.\n' | b'120*h**2\n' | b'Suppose -3*q - 2*q + 40 = 0. Find the third derivative of 25*h**4 - 57*h**4 + 32*h**4 + q*h**2 + 2*h**5 wrt h.\n' | b'120*h**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zzzzzdjzzzxxz. Give prob of sequence jdz.\n' | b'3/572\n' | b'Three letters picked without replacement from zzzzzdjzzzxxz. Give prob of sequence jdz.\n' | b'3/572\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 1, c: 1, i: 4, e: 1, l: 2}. Give prob of sequence ic.\n' | b'1/18\n' | b'Two letters picked without replacement from {f: 1, c: 1, i: 4, e: 1, l: 2}. Give prob of sequence ic.\n' | b'1/18\n' | deepmind/math_dataset |
b'Simplify ((z*z*z/z**(10/3)*z*z)**42*(((z/(((z/z**24)/z)/z))/z)/z)/z*(z**(-2/7)*z)/z)**(-36) assuming z is positive.\n' | b'z**(-23364/7)\n' | b'Simplify ((z*z*z/z**(10/3)*z*z)**42*(((z/(((z/z**24)/z)/z))/z)/z)/z*(z**(-2/7)*z)/z)**(-36) assuming z is positive.\n' | b'z**(-23364/7)\n' | deepmind/math_dataset |
b'Suppose -3*v - 5*p + 14 = 0, -v + 0*v + 6 = 3*p. Solve -13 = j - v*q - 3, 0 = 5*j - 4*q + 28 for j.\n' | b'-4\n' | b'Suppose -3*v - 5*p + 14 = 0, -v + 0*v + 6 = 3*p. Solve -13 = j - v*q - 3, 0 = 5*j - 4*q + 28 for j.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of picking 1 g, 1 f, and 2 h when four letters picked without replacement from gghrsrghgfghmgfhgf?\n' | b'7/170\n' | b'What is prob of picking 1 g, 1 f, and 2 h when four letters picked without replacement from gghrsrghgfghmgfhgf?\n' | b'7/170\n' | deepmind/math_dataset |
b'Let v be (-9 + -1)*1*(-1712)/40. Find the second derivative of q**3 - 858*q**2 - 178*q + v*q**2 - 4*q**3 + 431*q**2 wrt q.\n' | b'-18*q + 2\n' | b'Let v be (-9 + -1)*1*(-1712)/40. Find the second derivative of q**3 - 858*q**2 - 178*q + v*q**2 - 4*q**3 + 431*q**2 wrt q.\n' | b'-18*q + 2\n' | deepmind/math_dataset |
b'Let o = -427 + 431. Solve -5*c - 2*u - o = 0, 5*c = 2*u - 0*u - 16 for c.\n' | b'-2\n' | b'Let o = -427 + 431. Solve -5*c - 2*u - o = 0, 5*c = 2*u - 0*u - 16 for c.\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from pprepopoorerrrr. Give prob of picking 1 o, 1 r, and 1 p.\n' | b'72/455\n' | b'Three letters picked without replacement from pprepopoorerrrr. Give prob of picking 1 o, 1 r, and 1 p.\n' | b'72/455\n' | deepmind/math_dataset |
b'Let b be 20/15*(-6)/(-4). Let f(h) = h - 6. Let u(c) = 3*c - 13. Let t(j) = b*u(j) - 5*f(j). Suppose a - d = 4*a + 10, d - 5 = 0. Calculate t(a).\n' | b'-1\n' | b'Let b be 20/15*(-6)/(-4). Let f(h) = h - 6. Let u(c) = 3*c - 13. Let t(j) = b*u(j) - 5*f(j). Suppose a - d = 4*a + 10, d - 5 = 0. Calculate t(a).\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose 5*t = -0*t - 10. Let d = 0 - t. Find the third derivative of 2*x**2 + 0*x**5 + x**5 + 0*x**d + x**5 wrt x.\n' | b'120*x**2\n' | b'Suppose 5*t = -0*t - 10. Let d = 0 - t. Find the third derivative of 2*x**2 + 0*x**5 + x**5 + 0*x**d + x**5 wrt x.\n' | b'120*x**2\n' | deepmind/math_dataset |
b'Let l = -22 - -24. Let f be -8*(-1)/l - -6. Solve -5*o = -5*b + f, -10 = -2*o - 2*o - 2*b for o.\n' | b'1\n' | b'Let l = -22 - -24. Let f be -8*(-1)/l - -6. Solve -5*o = -5*b + f, -10 = -2*o - 2*o - 2*b for o.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 1, f: 1, b: 1, u: 2, i: 3, z: 4}. Give prob of picking 1 f and 1 u.\n' | b'1/33\n' | b'Two letters picked without replacement from {c: 1, f: 1, b: 1, u: 2, i: 3, z: 4}. Give prob of picking 1 f and 1 u.\n' | b'1/33\n' | deepmind/math_dataset |
b'Let a(x) = -10*x**2 - 84*x - 142. Let p be a(-6). Solve q + 5*u + 4 + 9 = 0, p*q - 3*u = 0 for q.\n' | b'-3\n' | b'Let a(x) = -10*x**2 - 84*x - 142. Let p be a(-6). Solve q + 5*u + 4 + 9 = 0, p*q - 3*u = 0 for q.\n' | b'-3\n' | deepmind/math_dataset |
b'Let j(o) = o**3 + 25*o**2 + 23*o - 2. Let c be j(-1). Let t(f) = -3*f - 1. What is t(c)?\n' | b'2\n' | b'Let j(o) = o**3 + 25*o**2 + 23*o - 2. Let c be j(-1). Let t(f) = -3*f - 1. What is t(c)?\n' | b'2\n' | deepmind/math_dataset |
b'Let k(l) be the first derivative of 0*l - 3/5*l**5 - 3 + 0*l**3 + 0*l**4 + 2*l**2. What is the second derivative of k(z) wrt z?\n' | b'-36*z**2\n' | b'Let k(l) be the first derivative of 0*l - 3/5*l**5 - 3 + 0*l**3 + 0*l**4 + 2*l**2. What is the second derivative of k(z) wrt z?\n' | b'-36*z**2\n' | deepmind/math_dataset |
b'Let r = 369 - 364. Solve 3*a = r*q + 25, a - 1 = -4*q - 4 for a.\n' | b'5\n' | b'Let r = 369 - 364. Solve 3*a = r*q + 25, a - 1 = -4*q - 4 for a.\n' | b'5\n' | deepmind/math_dataset |
b'Let m(u) = -u**4 + u**3 + u**2 + 1. Let w(h) = -20*h**4 + 10*h**3 + 10*h**2 - 6. Let j(s) = -20*m(s) + 2*w(s). Find the first derivative of j(b) wrt b.\n' | b'-80*b**3\n' | b'Let m(u) = -u**4 + u**3 + u**2 + 1. Let w(h) = -20*h**4 + 10*h**3 + 10*h**2 - 6. Let j(s) = -20*m(s) + 2*w(s). Find the first derivative of j(b) wrt b.\n' | b'-80*b**3\n' | deepmind/math_dataset |
b'Let f(b) be the first derivative of b**3/3 - 3*b**2 - 7*b - 13. Let l be f(-3). What is the second derivative of 18*p - 22*p**5 - 11*p - l*p wrt p?\n' | b'-440*p**3\n' | b'Let f(b) be the first derivative of b**3/3 - 3*b**2 - 7*b - 13. Let l be f(-3). What is the second derivative of 18*p - 22*p**5 - 11*p - l*p wrt p?\n' | b'-440*p**3\n' | deepmind/math_dataset |
b'Suppose 2*g - 2*z - 1 = 3, -2*z = g - 5. Solve -5*x = -3*n - 6, 0 = -8*n + g*n - 4*x - 10 for n.\n' | b'-2\n' | b'Suppose 2*g - 2*z - 1 = 3, -2*z = g - 5. Solve -5*x = -3*n - 6, 0 = -8*n + g*n - 4*x - 10 for n.\n' | b'-2\n' | deepmind/math_dataset |
b'Let w(x) be the first derivative of 104*x**7/7 - 40*x**3/3 - 9. Find the third derivative of w(z) wrt z.\n' | b'12480*z**3\n' | b'Let w(x) be the first derivative of 104*x**7/7 - 40*x**3/3 - 9. Find the third derivative of w(z) wrt z.\n' | b'12480*z**3\n' | deepmind/math_dataset |
b'Let p = -17 + 17. Let l(a) = a**3 - 2*a**2 + 2. Let t be l(p). Let s(h) = -t - 4 + 0 - 11 - h. Calculate s(-7).\n' | b'-10\n' | b'Let p = -17 + 17. Let l(a) = a**3 - 2*a**2 + 2. Let t be l(p). Let s(h) = -t - 4 + 0 - 11 - h. Calculate s(-7).\n' | b'-10\n' | deepmind/math_dataset |
b'Simplify (y*y/y**(-5)*y**23*y)**(-15) assuming y is positive.\n' | b'y**(-465)\n' | b'Simplify (y*y/y**(-5)*y**23*y)**(-15) assuming y is positive.\n' | b'y**(-465)\n' | deepmind/math_dataset |
b'Find the second derivative of -c**4 + 29*c - 1517*c**2 + 1525*c**2 - 3*c wrt c.\n' | b'-12*c**2 + 16\n' | b'Find the second derivative of -c**4 + 29*c - 1517*c**2 + 1525*c**2 - 3*c wrt c.\n' | b'-12*c**2 + 16\n' | deepmind/math_dataset |
b'Simplify ((o**(3/17)*o**(-11))**(-12))**(21/8) assuming o is positive.\n' | b'o**(5796/17)\n' | b'Simplify ((o**(3/17)*o**(-11))**(-12))**(21/8) assuming o is positive.\n' | b'o**(5796/17)\n' | deepmind/math_dataset |
b'Let i(z) = 3356*z - 40269. Let s be i(12). Let l = 4 + -3. Let a = l - -2. Solve -j + 5*k + 5 = a*j, 3*j = -s*k - 3 for j.\n' | b'0\n' | b'Let i(z) = 3356*z - 40269. Let s be i(12). Let l = 4 + -3. Let a = l - -2. Solve -j + 5*k + 5 = a*j, 3*j = -s*k - 3 for j.\n' | b'0\n' | deepmind/math_dataset |
b'Let w be 54/(-10) + 14/35. Let u(r) = -3*r**3 + 13*r**2 - 14*r - 13. Let k(t) = -4*t**3 + 19*t**2 - 21*t - 19. Let x(p) = 5*k(p) - 7*u(p). Give x(w).\n' | b'6\n' | b'Let w be 54/(-10) + 14/35. Let u(r) = -3*r**3 + 13*r**2 - 14*r - 13. Let k(t) = -4*t**3 + 19*t**2 - 21*t - 19. Let x(p) = 5*k(p) - 7*u(p). Give x(w).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify ((s/(s/(s**(1/32)/s))*s**2)**(-35))**(3/26) assuming s is positive.\n' | b's**(-3465/832)\n' | b'Simplify ((s/(s/(s**(1/32)/s))*s**2)**(-35))**(3/26) assuming s is positive.\n' | b's**(-3465/832)\n' | deepmind/math_dataset |
b'Simplify (j*j*j**(-4))/((j**(-7/3)/j)/j)*(j*j*j**9*j)/(j*j/(j*j*j*j/j**(-3/10))*j*j) assuming j is positive.\n' | b'j**(439/30)\n' | b'Simplify (j*j*j**(-4))/((j**(-7/3)/j)/j)*(j*j*j**9*j)/(j*j/(j*j*j*j/j**(-3/10))*j*j) assuming j is positive.\n' | b'j**(439/30)\n' | deepmind/math_dataset |
b'Let f(g) = 36*g - 5*g - 8*g - 21*g + 6 - 3*g. Give f(11).\n' | b'-5\n' | b'Let f(g) = 36*g - 5*g - 8*g - 21*g + 6 - 3*g. Give f(11).\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((r**(-2/23))**13)**(-18) assuming r is positive.\n' | b'r**(468/23)\n' | b'Simplify ((r**(-2/23))**13)**(-18) assuming r is positive.\n' | b'r**(468/23)\n' | deepmind/math_dataset |
b'Let j(i) = -i**2 - 1. Let v(s) = -7. Suppose 5*a - 2 = 8. Let n(x) = a*j(x) - v(x). Differentiate n(t) with respect to t.\n' | b'-4*t\n' | b'Let j(i) = -i**2 - 1. Let v(s) = -7. Suppose 5*a - 2 = 8. Let n(x) = a*j(x) - v(x). Differentiate n(t) with respect to t.\n' | b'-4*t\n' | deepmind/math_dataset |
b'Let i(a) be the first derivative of a**4/4 - a**3/3 + 11. Let w be i(1). Suppose -2*g = -w*g - 4. Solve f - 28 = 5*r - 0*f, -4*f + 22 = -g*r for r.\n' | b'-5\n' | b'Let i(a) be the first derivative of a**4/4 - a**3/3 + 11. Let w be i(1). Suppose -2*g = -w*g - 4. Solve f - 28 = 5*r - 0*f, -4*f + 22 = -g*r for r.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of picking 2 g when two letters picked without replacement from qgddgqgqgtagggqqtg?\n' | b'28/153\n' | b'What is prob of picking 2 g when two letters picked without replacement from qgddgqgqgtagggqqtg?\n' | b'28/153\n' | deepmind/math_dataset |
b'Let f be (-352)/(-18) + (-13)/((-351)/12). Solve -3*r = -0*r - 2*m + f, -4 = -m for r.\n' | b'-4\n' | b'Let f be (-352)/(-18) + (-13)/((-351)/12). Solve -3*r = -0*r - 2*m + f, -4 = -m for r.\n' | b'-4\n' | deepmind/math_dataset |
b'Let b(h) = -h - 6. Let u(i) = 152*i - 89. Let d(n) = -2*b(n) - u(n). Let c(a) = -151*a + 101. Let j(r) = -2*c(r) + 3*d(r). Differentiate j(g) with respect to g.\n' | b'-148\n' | b'Let b(h) = -h - 6. Let u(i) = 152*i - 89. Let d(n) = -2*b(n) - u(n). Let c(a) = -151*a + 101. Let j(r) = -2*c(r) + 3*d(r). Differentiate j(g) with respect to g.\n' | b'-148\n' | deepmind/math_dataset |
b'Let u(q) be the third derivative of 0*q**5 + 1/24*q**4 + 0*q**3 + q**2 + 0*q**6 + 1/70*q**7 + 0*q + 0. Find the second derivative of u(h) wrt h.\n' | b'36*h**2\n' | b'Let u(q) be the third derivative of 0*q**5 + 1/24*q**4 + 0*q**3 + q**2 + 0*q**6 + 1/70*q**7 + 0*q + 0. Find the second derivative of u(h) wrt h.\n' | b'36*h**2\n' | deepmind/math_dataset |
b'What is the third derivative of -57*d**3 + 2668*d**2 + 1850*d**2 - 4217*d**3 - d**6 + 3586*d**2 wrt d?\n' | b'-120*d**3 - 25644\n' | b'What is the third derivative of -57*d**3 + 2668*d**2 + 1850*d**2 - 4217*d**3 - d**6 + 3586*d**2 wrt d?\n' | b'-120*d**3 - 25644\n' | deepmind/math_dataset |
b'Let b(z) = 33*z - 26. Let v(m) = 17*m - 13. Let h(r) = 6*b(r) - 11*v(r). Differentiate h(w) wrt w.\n' | b'11\n' | b'Let b(z) = 33*z - 26. Let v(m) = 17*m - 13. Let h(r) = 6*b(r) - 11*v(r). Differentiate h(w) wrt w.\n' | b'11\n' | deepmind/math_dataset |
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