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 a(r) = r**2 - 6*r + 6. Let p be 2 + (-4)/(-6)*6. Give a(p).\n' | b'6\n' | b'Let a(r) = r**2 - 6*r + 6. Let p be 2 + (-4)/(-6)*6. Give a(p).\n' | b'6\n' | deepmind/math_dataset |
b'What is prob of picking 1 z and 3 x when four letters picked without replacement from xzzzzxxzxzz?\n' | b'14/165\n' | b'What is prob of picking 1 z and 3 x when four letters picked without replacement from xzzzzxxzxzz?\n' | b'14/165\n' | deepmind/math_dataset |
b'Suppose -2*s + 5*o = 14, 49*s + 4*o = 45*s + 28. Solve 4 = c + 3*j, -2*j = s*c + 3*j - 12 for c.\n' | b'4\n' | b'Suppose -2*s + 5*o = 14, 49*s + 4*o = 45*s + 28. Solve 4 = c + 3*j, -2*j = s*c + 3*j - 12 for c.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (p**0)**(4/3)/(p**(1/3)/p)**37*(p*p**(-2/15)*p*p**2)**(-1/20) assuming p is positive.\n' | b'p**(3671/150)\n' | b'Simplify (p**0)**(4/3)/(p**(1/3)/p)**37*(p*p**(-2/15)*p*p**2)**(-1/20) assuming p is positive.\n' | b'p**(3671/150)\n' | deepmind/math_dataset |
b'Let k(s) be the third derivative of -s**8/56 - s**5/4 - 6*s**2. Find the third derivative of k(p) wrt p.\n' | b'-360*p**2\n' | b'Let k(s) be the third derivative of -s**8/56 - s**5/4 - 6*s**2. Find the third derivative of k(p) wrt p.\n' | b'-360*p**2\n' | deepmind/math_dataset |
b'Suppose -2*t + 5 = -3. Suppose k - 3*k = 2*x - 14, -t*k - 5*x = -32. What is the second derivative of 2*m**4 + 2*m - 6*m - 7*m**4 + k*m wrt m?\n' | b'-60*m**2\n' | b'Suppose -2*t + 5 = -3. Suppose k - 3*k = 2*x - 14, -t*k - 5*x = -32. What is the second derivative of 2*m**4 + 2*m - 6*m - 7*m**4 + k*m wrt m?\n' | b'-60*m**2\n' | deepmind/math_dataset |
b'Let b(x) = x**2 + 5*x + 6. Let v be 3 + 0/(2/1). Suppose -j + 6 = -5*y, v*j + 2 = 4*y - 2. Let h be b(j). Solve h*k + 24 = -2*k + 5*w, -4*k = 2*w - 4 for k.\n' | b'-1\n' | b'Let b(x) = x**2 + 5*x + 6. Let v be 3 + 0/(2/1). Suppose -j + 6 = -5*y, v*j + 2 = 4*y - 2. Let h be b(j). Solve h*k + 24 = -2*k + 5*w, -4*k = 2*w - 4 for k.\n' | b'-1\n' | deepmind/math_dataset |
b'Let b = -2160 + 2171. Solve 2*d - 3*o = -2*d - b, 5*d = o for d.\n' | b'1\n' | b'Let b = -2160 + 2171. Solve 2*d - 3*o = -2*d - b, 5*d = o for d.\n' | b'1\n' | deepmind/math_dataset |
b'Let q(d) = -25*d + 220 - 223 - 55*d + 29*d. Give q(1).\n' | b'-54\n' | b'Let q(d) = -25*d + 220 - 223 - 55*d + 29*d. Give q(1).\n' | b'-54\n' | deepmind/math_dataset |
b'What is prob of picking 3 v when three letters picked without replacement from svsvvssssvvsvvsssvsv?\n' | b'7/95\n' | b'What is prob of picking 3 v when three letters picked without replacement from svsvvssssvvsvvsssvsv?\n' | b'7/95\n' | deepmind/math_dataset |
b'Let v = 12 + -9. Suppose -v*i + 19 = 7. Solve 4*q - 4*l = -0*l + 12, -q + i*l = -9 for q.\n' | b'1\n' | b'Let v = 12 + -9. Suppose -v*i + 19 = 7. Solve 4*q - 4*l = -0*l + 12, -q + i*l = -9 for q.\n' | b'1\n' | deepmind/math_dataset |
b'Let a(u) = -u - 5. Suppose 0 = -5*p - z - 10 - 14, 12 = -5*p + 2*z. Let h be a(p). Let w be h/2 - 18/(-4). Solve w*m - 2*q + 4 = 2*m, -4*q + 4 = -3*m for m.\n' | b'-4\n' | b'Let a(u) = -u - 5. Suppose 0 = -5*p - z - 10 - 14, 12 = -5*p + 2*z. Let h be a(p). Let w be h/2 - 18/(-4). Solve w*m - 2*q + 4 = 2*m, -4*q + 4 = -3*m for m.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 0 = -0*g - 3*g - 9. Let k = -3 - g. Solve 5*v - 3*l = 16, k = 5*v - 5*l + 5 - 15 for v.\n' | b'5\n' | b'Suppose 0 = -0*g - 3*g - 9. Let k = -3 - g. Solve 5*v - 3*l = 16, k = 5*v - 5*l + 5 - 15 for v.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (((j**8)**(-38))**(2/91))**(5/4) assuming j is positive.\n' | b'j**(-760/91)\n' | b'Simplify (((j**8)**(-38))**(2/91))**(5/4) assuming j is positive.\n' | b'j**(-760/91)\n' | deepmind/math_dataset |
b'Simplify (((h/h**(1/6))/h)/h**5)**(-39)/((h**(-4)/(h/h**(-2/9)))/(h**(-1))**11) assuming h is positive.\n' | b'h**(3523/18)\n' | b'Simplify (((h/h**(1/6))/h)/h**5)**(-39)/((h**(-4)/(h/h**(-2/9)))/(h**(-1))**11) assuming h is positive.\n' | b'h**(3523/18)\n' | deepmind/math_dataset |
b'Let c(g) be the second derivative of -5*g**3/6 - 35*g. What is c(-1)?\n' | b'5\n' | b'Let c(g) be the second derivative of -5*g**3/6 - 35*g. What is c(-1)?\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of picking 2 p when two letters picked without replacement from hhhphpxhxphhzpph?\n' | b'1/12\n' | b'What is prob of picking 2 p when two letters picked without replacement from hhhphpxhxphhzpph?\n' | b'1/12\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ffgggggkfgkggkggkfg. Give prob of sequence gg.\n' | b'55/171\n' | b'Two letters picked without replacement from ffgggggkfgkggkggkfg. Give prob of sequence gg.\n' | b'55/171\n' | deepmind/math_dataset |
b'Let r = -36 + 42. Suppose -4*n - 10 = r, -2*w - 2*n = 20. Let t(h) = h**2 + 6*h - 2. Give t(w).\n' | b'-2\n' | b'Let r = -36 + 42. Suppose -4*n - 10 = r, -2*w - 2*n = 20. Let t(h) = h**2 + 6*h - 2. Give t(w).\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from fvfvbvfvvb. Give prob of sequence fb.\n' | b'1/15\n' | b'Two letters picked without replacement from fvfvbvfvvb. Give prob of sequence fb.\n' | b'1/15\n' | deepmind/math_dataset |
b'Simplify (((t**(-29)*t)/(((((t**(16/5)*t)/t*t*t)/t)/t)/t*t*t))/(t**(-2/35))**(2/27))**2 assuming t is positive.\n' | b't**(-12170/189)\n' | b'Simplify (((t**(-29)*t)/(((((t**(16/5)*t)/t*t*t)/t)/t)/t*t*t))/(t**(-2/35))**(2/27))**2 assuming t is positive.\n' | b't**(-12170/189)\n' | deepmind/math_dataset |
b'Let y(l) = 2*l - 3. Let x(m) = -11*m + 12. Let n be x(12). Let t be -1*3/(-2)*n/(-36). Calculate y(t).\n' | b'7\n' | b'Let y(l) = 2*l - 3. Let x(m) = -11*m + 12. Let n be x(12). Let t be -1*3/(-2)*n/(-36). Calculate y(t).\n' | b'7\n' | deepmind/math_dataset |
b'Let f(q) = -525*q + 1500. Let z(h) = -2. Let v(u) = f(u) + 75*z(u). Differentiate v(i) wrt i.\n' | b'-525\n' | b'Let f(q) = -525*q + 1500. Let z(h) = -2. Let v(u) = f(u) + 75*z(u). Differentiate v(i) wrt i.\n' | b'-525\n' | deepmind/math_dataset |
b'Let w(i) be the first derivative of -10/3*i**3 + 0*i**2 + 0*i + 37/4*i**4 - 39. Find the third derivative of w(a) wrt a.\n' | b'222\n' | b'Let w(i) be the first derivative of -10/3*i**3 + 0*i**2 + 0*i + 37/4*i**4 - 39. Find the third derivative of w(a) wrt a.\n' | b'222\n' | deepmind/math_dataset |
b'Let s(w) = w**6 - 11*w**3 - 33*w**2 - 6*w. Let c(z) = -2*z**6 - 2*z**3 - z. Let i(b) = -6*c(b) + s(b). What is the third derivative of i(m) wrt m?\n' | b'1560*m**3 + 6\n' | b'Let s(w) = w**6 - 11*w**3 - 33*w**2 - 6*w. Let c(z) = -2*z**6 - 2*z**3 - z. Let i(b) = -6*c(b) + s(b). What is the third derivative of i(m) wrt m?\n' | b'1560*m**3 + 6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hhhhhhihiiihhh. What is prob of sequence ihhi?\n' | b'45/1001\n' | b'Four letters picked without replacement from hhhhhhihiiihhh. What is prob of sequence ihhi?\n' | b'45/1001\n' | deepmind/math_dataset |
b'Let i(z) be the first derivative of 9*z**2 - 10*z**2 + 0 - 5*z - 1. Give i(-6).\n' | b'7\n' | b'Let i(z) be the first derivative of 9*z**2 - 10*z**2 + 0 - 5*z - 1. Give i(-6).\n' | b'7\n' | deepmind/math_dataset |
b'Simplify j**(3/2)/(j*j/(j/j**(7/6)*j))*(j**2)**(1/8) assuming j is positive.\n' | b'j**(7/12)\n' | b'Simplify j**(3/2)/(j*j/(j/j**(7/6)*j))*(j**2)**(1/8) assuming j is positive.\n' | b'j**(7/12)\n' | deepmind/math_dataset |
b'Let f(u) = -u**3 - 5*u**2 + 3. Let t be f(-5). Let x be 30/4*(-4)/(-6). Differentiate -x*d + 0 - 1 + t*d wrt d.\n' | b'-2\n' | b'Let f(u) = -u**3 - 5*u**2 + 3. Let t be f(-5). Let x be 30/4*(-4)/(-6). Differentiate -x*d + 0 - 1 + t*d wrt d.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 0 = -10*c + 3*c + 14. Solve 0*s - 8 = 4*x - 2*s, -5*s + 4 = -c*x for x.\n' | b'-2\n' | b'Suppose 0 = -10*c + 3*c + 14. Solve 0*s - 8 = 4*x - 2*s, -5*s + 4 = -c*x for x.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of sequence bl when two letters picked without replacement from bbblbbllbbbbbbbb?\n' | b'13/80\n' | b'What is prob of sequence bl when two letters picked without replacement from bbblbbllbbbbbbbb?\n' | b'13/80\n' | deepmind/math_dataset |
b'Three letters picked without replacement from aaazzazzazzaa. What is prob of sequence aza?\n' | b'21/143\n' | b'Three letters picked without replacement from aaazzazzazzaa. What is prob of sequence aza?\n' | b'21/143\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ymzwywzwyzwzwzzywyz. Give prob of picking 2 z, 1 m, and 1 w.\n' | b'21/646\n' | b'Four letters picked without replacement from ymzwywzwyzwzwzzywyz. Give prob of picking 2 z, 1 m, and 1 w.\n' | b'21/646\n' | deepmind/math_dataset |
b'Let o = 484 + -481. Solve -4*t = 4*j - j - 27, o*t = -2*j + 19 for t.\n' | b'3\n' | b'Let o = 484 + -481. Solve -4*t = 4*j - j - 27, o*t = -2*j + 19 for t.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (((n/(n/(((n/(n*(n**(-11)/n)/n)*n)/n)/n)))/(n/(n/(n/n**(2/19)))))**(-2/3))**(-27) assuming n is positive.\n' | b'n**(3798/19)\n' | b'Simplify (((n/(n/(((n/(n*(n**(-11)/n)/n)*n)/n)/n)))/(n/(n/(n/n**(2/19)))))**(-2/3))**(-27) assuming n is positive.\n' | b'n**(3798/19)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 2, v: 2, q: 5}. What is prob of picking 2 v and 1 q?\n' | b'5/84\n' | b'Three letters picked without replacement from {t: 2, v: 2, q: 5}. What is prob of picking 2 v and 1 q?\n' | b'5/84\n' | deepmind/math_dataset |
b'Let g(z) = -z**3 + 8*z**2 + 11*z - 14. Let f be g(9). Suppose f*u = -4*q, -u = 2*q - 0*q. Solve 7*i - 4*n + 9 = 2*i, i + n = u for i.\n' | b'-1\n' | b'Let g(z) = -z**3 + 8*z**2 + 11*z - 14. Let f be g(9). Suppose f*u = -4*q, -u = 2*q - 0*q. Solve 7*i - 4*n + 9 = 2*i, i + n = u for i.\n' | b'-1\n' | deepmind/math_dataset |
b'Let w(l) = -239 - 3*l + 239 + 4*l. Determine w(6).\n' | b'6\n' | b'Let w(l) = -239 - 3*l + 239 + 4*l. Determine w(6).\n' | b'6\n' | deepmind/math_dataset |
b'Let g(u) be the third derivative of 0*u + 0*u**4 + 0 + 9*u**2 + 1/30*u**6 + 31/60*u**5 + 0*u**3. Find the third derivative of g(p) wrt p.\n' | b'24\n' | b'Let g(u) be the third derivative of 0*u + 0*u**4 + 0 + 9*u**2 + 1/30*u**6 + 31/60*u**5 + 0*u**3. Find the third derivative of g(p) wrt p.\n' | b'24\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b, 1 x, and 1 f when three letters picked without replacement from {x: 1, f: 1, g: 3, l: 3, u: 1, b: 5}.\n' | b'5/364\n' | b'Calculate prob of picking 1 b, 1 x, and 1 f when three letters picked without replacement from {x: 1, f: 1, g: 3, l: 3, u: 1, b: 5}.\n' | b'5/364\n' | deepmind/math_dataset |
b'Simplify (j**(-3)*j**(-2/11))/(j**(-1/4))**32*j**(1/5)*j**(-4)*j*(j/j**5*j)/j**(-1/2) assuming j is positive.\n' | b'j**(-53/110)\n' | b'Simplify (j**(-3)*j**(-2/11))/(j**(-1/4))**32*j**(1/5)*j**(-4)*j*(j/j**5*j)/j**(-1/2) assuming j is positive.\n' | b'j**(-53/110)\n' | deepmind/math_dataset |
b'Let r be (-3 - -1)*-2 - 3. Suppose -4 - r = -i. Solve x - m = -3, -i*x + 3*m - 4 - 15 = 0 for x.\n' | b'-5\n' | b'Let r be (-3 - -1)*-2 - 3. Suppose -4 - r = -i. Solve x - m = -3, -i*x + 3*m - 4 - 15 = 0 for x.\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 3, l: 4}. Give prob of picking 4 l.\n' | b'1/35\n' | b'Four letters picked without replacement from {z: 3, l: 4}. Give prob of picking 4 l.\n' | b'1/35\n' | deepmind/math_dataset |
b'Suppose -w + 123 = 3*n - 136, -5*n - 1002 = -4*w. What is the second derivative of -15 + 127*m + 0*m**2 + 125*m - 53*m**4 + 2*m**2 + m**2 - w*m wrt m?\n' | b'-636*m**2 + 6\n' | b'Suppose -w + 123 = 3*n - 136, -5*n - 1002 = -4*w. What is the second derivative of -15 + 127*m + 0*m**2 + 125*m - 53*m**4 + 2*m**2 + m**2 - w*m wrt m?\n' | b'-636*m**2 + 6\n' | deepmind/math_dataset |
b'Let a(x) = x**2 - 25*x + 150. Let t(o) = -3*o**2 + 75*o - 452. Let r(s) = -17*a(s) - 6*t(s). Give r(12).\n' | b'6\n' | b'Let a(x) = x**2 - 25*x + 150. Let t(o) = -3*o**2 + 75*o - 452. Let r(s) = -17*a(s) - 6*t(s). Give r(12).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify (h/((h*h**(-2/5))/h))**(-4/9)*(h**(-2/5))**(-20) assuming h is positive.\n' | b'h**(332/45)\n' | b'Simplify (h/((h*h**(-2/5))/h))**(-4/9)*(h**(-2/5))**(-20) assuming h is positive.\n' | b'h**(332/45)\n' | deepmind/math_dataset |
b'What is prob of sequence tbgb when four letters picked without replacement from ugggyutgbybt?\n' | b'2/1485\n' | b'What is prob of sequence tbgb when four letters picked without replacement from ugggyutgbybt?\n' | b'2/1485\n' | deepmind/math_dataset |
b'Suppose 10 = -b + 14. What is the second derivative of -7*s**4 + 9*s - 5*s + 2*s**b - 9*s**4 wrt s?\n' | b'-168*s**2\n' | b'Suppose 10 = -b + 14. What is the second derivative of -7*s**4 + 9*s - 5*s + 2*s**b - 9*s**4 wrt s?\n' | b'-168*s**2\n' | deepmind/math_dataset |
b'Let d(l) be the first derivative of 7*l**5/40 + 17*l**4/24 + 5*l**3/3 + 23. Let m(o) be the third derivative of d(o). Differentiate m(c) wrt c.\n' | b'21\n' | b'Let d(l) be the first derivative of 7*l**5/40 + 17*l**4/24 + 5*l**3/3 + 23. Let m(o) be the third derivative of d(o). Differentiate m(c) wrt c.\n' | b'21\n' | deepmind/math_dataset |
b'Let w be (-19)/2*-2 + 3575/715. Solve 2 = -3*d + 11, -3*f - w = -3*d for f.\n' | b'-5\n' | b'Let w be (-19)/2*-2 + 3575/715. Solve 2 = -3*d + 11, -3*f - w = -3*d for f.\n' | b'-5\n' | deepmind/math_dataset |
b'Let i = 10 + -14. Let y(s) = -s**2 - 2*s + 5. Let r(x) be the second derivative of -x**3/6 - x**2/2 + 9*x. Let h(n) = -3*r(n) - y(n). Give h(i).\n' | b'-6\n' | b'Let i = 10 + -14. Let y(s) = -s**2 - 2*s + 5. Let r(x) be the second derivative of -x**3/6 - x**2/2 + 9*x. Let h(n) = -3*r(n) - y(n). Give h(i).\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (n*(n*n**(-4/17))/n)/(n**16*n)*(((n**(-17)/n)/n)/n)**(-49) assuming n is positive.\n' | b'n**(16384/17)\n' | b'Simplify (n*(n*n**(-4/17))/n)/(n**16*n)*(((n**(-17)/n)/n)/n)**(-49) assuming n is positive.\n' | b'n**(16384/17)\n' | deepmind/math_dataset |
b'Let p(g) = -2*g + 3. Suppose -2*o + 5*f = -0*f + 15, 3*o + 4*f = 12. Let k = 9 - o. Suppose 5*h = k + 6. What is p(h)?\n' | b'-3\n' | b'Let p(g) = -2*g + 3. Suppose -2*o + 5*f = -0*f + 15, 3*o + 4*f = 12. Let k = 9 - o. Suppose 5*h = k + 6. What is p(h)?\n' | b'-3\n' | deepmind/math_dataset |
b'Let w(b) = 562*b - 8 - 278*b - b**2 - 275*b. Calculate w(6).\n' | b'10\n' | b'Let w(b) = 562*b - 8 - 278*b - b**2 - 275*b. Calculate w(6).\n' | b'10\n' | deepmind/math_dataset |
b'Let l = 8 - 3. Let m(v) = -v**3 - v**2 + 5. Let y be m(0). Suppose 2 - 1 = 5*c - 4*i, -4 = -4*i. Solve y*j + l = 0, 0 = -h - 2*h - j - c for h.\n' | b'0\n' | b'Let l = 8 - 3. Let m(v) = -v**3 - v**2 + 5. Let y be m(0). Suppose 2 - 1 = 5*c - 4*i, -4 = -4*i. Solve y*j + l = 0, 0 = -h - 2*h - j - c for h.\n' | b'0\n' | deepmind/math_dataset |
b'Let i(w) be the first derivative of 588*w**5/5 - w**4/2 + 6*w**3 - 9*w**2/2 - w + 1719. Find the third derivative of i(j) wrt j.\n' | b'14112*j - 12\n' | b'Let i(w) be the first derivative of 588*w**5/5 - w**4/2 + 6*w**3 - 9*w**2/2 - w + 1719. Find the third derivative of i(j) wrt j.\n' | b'14112*j - 12\n' | deepmind/math_dataset |
b'Differentiate 140*t**3 + 688 + 212*t**3 - 65*t**3 wrt t.\n' | b'861*t**2\n' | b'Differentiate 140*t**3 + 688 + 212*t**3 - 65*t**3 wrt t.\n' | b'861*t**2\n' | deepmind/math_dataset |
b'Let f(x) be the first derivative of x**5/5 - 9*x**4/4 - 227*x**2/2 + 77. What is the second derivative of f(c) wrt c?\n' | b'12*c**2 - 54*c\n' | b'Let f(x) be the first derivative of x**5/5 - 9*x**4/4 - 227*x**2/2 + 77. What is the second derivative of f(c) wrt c?\n' | b'12*c**2 - 54*c\n' | deepmind/math_dataset |
b'Let m(y) = y**3 + 7*y**2 + 10*y + 15. Let b be m(-5). Suppose -17*j + 20*j = -b. Let u(p) = 4*p + 7. Calculate u(j).\n' | b'-13\n' | b'Let m(y) = y**3 + 7*y**2 + 10*y + 15. Let b be m(-5). Suppose -17*j + 20*j = -b. Let u(p) = 4*p + 7. Calculate u(j).\n' | b'-13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qvcvvwvvvlqqll. What is prob of sequence cl?\n' | b'3/182\n' | b'Two letters picked without replacement from qvcvvwvvvlqqll. What is prob of sequence cl?\n' | b'3/182\n' | deepmind/math_dataset |
b'Suppose 3*u - 8 = -u. Let i be u*3 + (1 - 3). Solve 3*o = 5*v + i, -2*v - o = -3*o for v.\n' | b'-2\n' | b'Suppose 3*u - 8 = -u. Let i be u*3 + (1 - 3). Solve 3*o = 5*v + i, -2*v - o = -3*o for v.\n' | b'-2\n' | deepmind/math_dataset |
b'Let z be (-3)/12 - 363/(-12). Suppose 5*l + 5*h = z, -2*h = 4*l - h - 18. Solve 0 = -2*m + i, -5*m = -0*m + l*i + 13 for m.\n' | b'-1\n' | b'Let z be (-3)/12 - 363/(-12). Suppose 5*l + 5*h = z, -2*h = 4*l - h - 18. Solve 0 = -2*m + i, -5*m = -0*m + l*i + 13 for m.\n' | b'-1\n' | deepmind/math_dataset |
b'Find the third derivative of -b - 2*b - 63*b**4 + 2*b + b - 133*b**2 wrt b.\n' | b'-1512*b\n' | b'Find the third derivative of -b - 2*b - 63*b**4 + 2*b + b - 133*b**2 wrt b.\n' | b'-1512*b\n' | deepmind/math_dataset |
b'Simplify ((z**5/(z*(z**(-2)/z*z)/z))/((z*z/z**(3/20))/(z/(z**(1/13)/z))))**31 assuming z is positive.\n' | b'z**(57009/260)\n' | b'Simplify ((z**5/(z*(z**(-2)/z*z)/z))/((z*z/z**(3/20))/(z/(z**(1/13)/z))))**31 assuming z is positive.\n' | b'z**(57009/260)\n' | deepmind/math_dataset |
b'Simplify (x/(x**(-6)*x))/x*x*x*x/(x**(-3/8)*x)*x**(-3/8)/(x*x*x/x**(2/5)*x)*(x/(x*(x**(-3/8)*x)/x)*x*(((x/x**(-8))/x)/x)/x)**26 assuming x is positive.\n' | b'x**(3903/20)\n' | b'Simplify (x/(x**(-6)*x))/x*x*x*x/(x**(-3/8)*x)*x**(-3/8)/(x*x*x/x**(2/5)*x)*(x/(x*(x**(-3/8)*x)/x)*x*(((x/x**(-8))/x)/x)/x)**26 assuming x is positive.\n' | b'x**(3903/20)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gmrmggmgmmmrbggggg. Give prob of sequence gm.\n' | b'3/17\n' | b'Two letters picked without replacement from gmrmggmgmmmrbggggg. Give prob of sequence gm.\n' | b'3/17\n' | deepmind/math_dataset |
b'What is prob of sequence rjj when three letters picked without replacement from jcjcrcrrcjcjjjjrrcr?\n' | b'14/323\n' | b'What is prob of sequence rjj when three letters picked without replacement from jcjcrcrrcjcjjjjrrcr?\n' | b'14/323\n' | deepmind/math_dataset |
b'Suppose -2 = -2*u + u. Differentiate 8 - 7*w**2 - w**u - 7 + 7 with respect to w.\n' | b'-16*w\n' | b'Suppose -2 = -2*u + u. Differentiate 8 - 7*w**2 - w**u - 7 + 7 with respect to w.\n' | b'-16*w\n' | deepmind/math_dataset |
b'Let b(g) = -g**2 + 7*g + 2. Suppose 3 = 3*y - 0. Let a be ((-1)/4)/(y/(-28)). Calculate b(a).\n' | b'2\n' | b'Let b(g) = -g**2 + 7*g + 2. Suppose 3 = 3*y - 0. Let a be ((-1)/4)/(y/(-28)). Calculate b(a).\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence us when two letters picked without replacement from {b: 2, e: 7, s: 4, u: 1, h: 1}?\n' | b'2/105\n' | b'What is prob of sequence us when two letters picked without replacement from {b: 2, e: 7, s: 4, u: 1, h: 1}?\n' | b'2/105\n' | deepmind/math_dataset |
b'Suppose 10 = 2*k + 2*s, -k + 57*s = 60*s - 11. Solve -4*a - 5*m = -k*a - 15, 4*a = 2*m - 30 for a.\n' | b'-5\n' | b'Suppose 10 = 2*k + 2*s, -k + 57*s = 60*s - 11. Solve -4*a - 5*m = -k*a - 15, 4*a = 2*m - 30 for a.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((q*q*q**(-39))/q*q**(-2/3)*q**(-3)/(q/q**48))**(-19) assuming q is positive.\n' | b'q**(-304/3)\n' | b'Simplify ((q*q*q**(-39))/q*q**(-2/3)*q**(-3)/(q/q**48))**(-19) assuming q is positive.\n' | b'q**(-304/3)\n' | deepmind/math_dataset |
b'Find the second derivative of 27*l**3 - 8*l**3 - 3*l**3 + 19*l wrt l.\n' | b'96*l\n' | b'Find the second derivative of 27*l**3 - 8*l**3 - 3*l**3 + 19*l wrt l.\n' | b'96*l\n' | deepmind/math_dataset |
b'Let w = 46 - 56. Let j be w*(4/(-8) + -1). What is the third derivative of -8*s**5 + 26*s**5 - j*s**5 + 16*s**2 wrt s?\n' | b'180*s**2\n' | b'Let w = 46 - 56. Let j be w*(4/(-8) + -1). What is the third derivative of -8*s**5 + 26*s**5 - j*s**5 + 16*s**2 wrt s?\n' | b'180*s**2\n' | deepmind/math_dataset |
b'Simplify (q/(q**(-1/9)*q))/q*q*((q*q**(-2))/q)/q*q*(q/(q/q**1*q))**26 assuming q is positive.\n' | b'q**(-17/9)\n' | b'Simplify (q/(q**(-1/9)*q))/q*q*((q*q**(-2))/q)/q*q*(q/(q/q**1*q))**26 assuming q is positive.\n' | b'q**(-17/9)\n' | deepmind/math_dataset |
b'Let g be 5/(5/4) - 1. Suppose -3*h + 3 = p, 0*h = 2*p + g*h - 6. Let m(f) = 1 - f + 3 - p*f. Determine m(3).\n' | b'-8\n' | b'Let g be 5/(5/4) - 1. Suppose -3*h + 3 = p, 0*h = 2*p + g*h - 6. Let m(f) = 1 - f + 3 - p*f. Determine m(3).\n' | b'-8\n' | deepmind/math_dataset |
b'Two letters picked without replacement from imoisosisiiysiihh. Give prob of picking 2 s.\n' | b'3/68\n' | b'Two letters picked without replacement from imoisosisiiysiihh. Give prob of picking 2 s.\n' | b'3/68\n' | deepmind/math_dataset |
b'Simplify z/z**4*z*z/(z**(-2)*z*z) assuming z is positive.\n' | b'1/z\n' | b'Simplify z/z**4*z*z/(z**(-2)*z*z) assuming z is positive.\n' | b'1/z\n' | deepmind/math_dataset |
b'Suppose 5*w + 3*z = -4 + 13, 2*w = -4*z - 2. Let j(m) be the second derivative of 0*m**w - 1/6*m**4 - 2*m**2 + 5*m + 0. What is the derivative of j(k) wrt k?\n' | b'-4*k\n' | b'Suppose 5*w + 3*z = -4 + 13, 2*w = -4*z - 2. Let j(m) be the second derivative of 0*m**w - 1/6*m**4 - 2*m**2 + 5*m + 0. What is the derivative of j(k) wrt k?\n' | b'-4*k\n' | deepmind/math_dataset |
b'Suppose 0 = -3*q - 11 + 98. Let x(p) = 3*p - 28. Let h = 63 - 53. Let s be x(h). Solve -y - u - q = -6*u, -2*y + s*u - 18 = 0 for y.\n' | b'-4\n' | b'Suppose 0 = -3*q - 11 + 98. Let x(p) = 3*p - 28. Let h = 63 - 53. Let s be x(h). Solve -y - u - q = -6*u, -2*y + s*u - 18 = 0 for y.\n' | b'-4\n' | deepmind/math_dataset |
b'Let z = 12 - -3. Let q(n) = n**2 - 2*n - 5. Suppose -w + 2*w - 5 = c, 0 = -5*w - 3*c + 41. Let s be q(w). Solve 0*f = f - 5*h + s, -h = 4*f + z for f.\n' | b'-5\n' | b'Let z = 12 - -3. Let q(n) = n**2 - 2*n - 5. Suppose -w + 2*w - 5 = c, 0 = -5*w - 3*c + 41. Let s be q(w). Solve 0*f = f - 5*h + s, -h = 4*f + z for f.\n' | b'-5\n' | deepmind/math_dataset |
b'Let w be 2427/33 - (-18)/(-33). Let m = -67 + w. Let d(u) = u**3 - 6*u**2 + u + 2. Give d(m).\n' | b'8\n' | b'Let w be 2427/33 - (-18)/(-33). Let m = -67 + w. Let d(u) = u**3 - 6*u**2 + u + 2. Give d(m).\n' | b'8\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 i and 1 c when three letters picked without replacement from ereiekkcieko.\n' | b'1/220\n' | b'Calculate prob of picking 2 i and 1 c when three letters picked without replacement from ereiekkcieko.\n' | b'1/220\n' | deepmind/math_dataset |
b'Suppose k - 12 = -4*f, -2*k - 2*k = -f + 3. Let p(n) = -3*n + 3. What is p(f)?\n' | b'-6\n' | b'Suppose k - 12 = -4*f, -2*k - 2*k = -f + 3. Let p(n) = -3*n + 3. What is p(f)?\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify ((h/h**7*h*h**4)/(h*(h*(h/h**(1/5))/h)/h*h**(1/6)/h))**(-4/3) assuming h is positive.\n' | b'h**(58/45)\n' | b'Simplify ((h/h**7*h*h**4)/(h*(h*(h/h**(1/5))/h)/h*h**(1/6)/h))**(-4/3) assuming h is positive.\n' | b'h**(58/45)\n' | deepmind/math_dataset |
b'Simplify (b**(-1/4))**25 assuming b is positive.\n' | b'b**(-25/4)\n' | b'Simplify (b**(-1/4))**25 assuming b is positive.\n' | b'b**(-25/4)\n' | deepmind/math_dataset |
b'What is prob of picking 4 c when four letters picked without replacement from cncnccccccnccn?\n' | b'30/143\n' | b'What is prob of picking 4 c when four letters picked without replacement from cncnccccccnccn?\n' | b'30/143\n' | deepmind/math_dataset |
b'Let g(l) be the third derivative of l**5/20 + l**4/24 + l**3/3 + 113*l**2. Calculate g(-2).\n' | b'12\n' | b'Let g(l) be the third derivative of l**5/20 + l**4/24 + l**3/3 + 113*l**2. Calculate g(-2).\n' | b'12\n' | deepmind/math_dataset |
b'Let q be (-2 + (0 - -1))*3. Let v = q + 8. Solve 0 = -4*o + v*s - 8, 5*s = -0*s for o.\n' | b'-2\n' | b'Let q be (-2 + (0 - -1))*3. Let v = q + 8. Solve 0 = -4*o + v*s - 8, 5*s = -0*s for o.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 l, 1 v, and 1 u when four letters picked without replacement from {p: 7, v: 3, u: 1, c: 4, l: 2}.\n' | b'3/2380\n' | b'Calculate prob of picking 2 l, 1 v, and 1 u when four letters picked without replacement from {p: 7, v: 3, u: 1, c: 4, l: 2}.\n' | b'3/2380\n' | deepmind/math_dataset |
b'What is prob of sequence fuj when three letters picked without replacement from {f: 1, l: 1, j: 2, u: 1}?\n' | b'1/30\n' | b'What is prob of sequence fuj when three letters picked without replacement from {f: 1, l: 1, j: 2, u: 1}?\n' | b'1/30\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hnttthiiih. Give prob of sequence ti.\n' | b'1/10\n' | b'Two letters picked without replacement from hnttthiiih. Give prob of sequence ti.\n' | b'1/10\n' | deepmind/math_dataset |
b'What is prob of picking 2 x when two letters picked without replacement from {a: 3, z: 1, x: 3, k: 6}?\n' | b'1/26\n' | b'What is prob of picking 2 x when two letters picked without replacement from {a: 3, z: 1, x: 3, k: 6}?\n' | b'1/26\n' | deepmind/math_dataset |
b'Let s(t) be the third derivative of 4*t**7/21 + t**6/120 + 5*t**5/12 - 7*t**3/6 - 64*t**2. Find the third derivative of s(n) wrt n.\n' | b'960*n + 6\n' | b'Let s(t) be the third derivative of 4*t**7/21 + t**6/120 + 5*t**5/12 - 7*t**3/6 - 64*t**2. Find the third derivative of s(n) wrt n.\n' | b'960*n + 6\n' | deepmind/math_dataset |
b'Simplify (i**6/(i/(i**(2/25)*i))*(i**(-2/27)*i)/(i**6/i))**(-20) assuming i is positive.\n' | b'i**(-5416/135)\n' | b'Simplify (i**6/(i/(i**(2/25)*i))*(i**(-2/27)*i)/(i**6/i))**(-20) assuming i is positive.\n' | b'i**(-5416/135)\n' | deepmind/math_dataset |
b'What is prob of picking 1 q, 1 x, 1 y, and 1 v when four letters picked without replacement from {v: 6, x: 5, q: 1, y: 4}?\n' | b'6/91\n' | b'What is prob of picking 1 q, 1 x, 1 y, and 1 v when four letters picked without replacement from {v: 6, x: 5, q: 1, y: 4}?\n' | b'6/91\n' | deepmind/math_dataset |
b'Simplify (a**(2/15)/((a**(-2)*a*a)/a))**(-14) assuming a is positive.\n' | b'a**(-238/15)\n' | b'Simplify (a**(2/15)/((a**(-2)*a*a)/a))**(-14) assuming a is positive.\n' | b'a**(-238/15)\n' | deepmind/math_dataset |
b'Suppose 9*s = 4 - 67. Let y be (-8 - s)*1*3*-1. Solve 0 = 2*j + f - 1 + 3, -2 = 4*j + y*f for j.\n' | b'-2\n' | b'Suppose 9*s = 4 - 67. Let y be (-8 - s)*1*3*-1. Solve 0 = 2*j + f - 1 + 3, -2 = 4*j + y*f for j.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 0*i + 7*i = 77. Find the third derivative of 25*h**4 - i*h**2 + 5*h**2 - h**2 - 8*h**2 wrt h.\n' | b'600*h\n' | b'Suppose 0*i + 7*i = 77. Find the third derivative of 25*h**4 - i*h**2 + 5*h**2 - h**2 - 8*h**2 wrt h.\n' | b'600*h\n' | deepmind/math_dataset |
b'Simplify f**(-1/50)/(f*f/(f/((f/(f/f**25))/f))) assuming f is positive.\n' | b'f**(-1251/50)\n' | b'Simplify f**(-1/50)/(f*f/(f/((f/(f/f**25))/f))) assuming f is positive.\n' | b'f**(-1251/50)\n' | deepmind/math_dataset |
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