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 x(g) = 1140*g + 43 - 9 - 1138*g + 5. Calculate x(28).\n' | b'95\n' | b'Let x(g) = 1140*g + 43 - 9 - 1138*g + 5. Calculate x(28).\n' | b'95\n' | deepmind/math_dataset |
b'Let y be (12/10)/(10/25). Let q be 1/(-1) + 5*5. Suppose 2*r = -4*i - 8, -r + 3*i + q = 2*r. Solve 2*l - 5*c - 17 = -r, 0 = -3*c - y for l.\n' | b'4\n' | b'Let y be (12/10)/(10/25). Let q be 1/(-1) + 5*5. Suppose 2*r = -4*i - 8, -r + 3*i + q = 2*r. Solve 2*l - 5*c - 17 = -r, 0 = -3*c - y for l.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence xlcl when four letters picked without replacement from {a: 3, f: 1, l: 2, c: 4, x: 1}?\n' | b'1/990\n' | b'What is prob of sequence xlcl when four letters picked without replacement from {a: 3, f: 1, l: 2, c: 4, x: 1}?\n' | b'1/990\n' | deepmind/math_dataset |
b'Suppose -4 = -4*k, -15 = 3*b + 2*k - 155. Find the first derivative of 22*t**2 + 79 + 24*t**2 - b*t**2 + 32*t**4 wrt t.\n' | b'128*t**3\n' | b'Suppose -4 = -4*k, -15 = 3*b + 2*k - 155. Find the first derivative of 22*t**2 + 79 + 24*t**2 - b*t**2 + 32*t**4 wrt t.\n' | b'128*t**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 s and 2 i when four letters picked without replacement from {e: 3, a: 7, z: 1, s: 2, i: 5}.\n' | b'1/306\n' | b'Calculate prob of picking 2 s and 2 i when four letters picked without replacement from {e: 3, a: 7, z: 1, s: 2, i: 5}.\n' | b'1/306\n' | deepmind/math_dataset |
b'Suppose -c + 3*r = -r + 4, 0 = -4*r + 4. Let a = c - 1. Let s be 1 - (a + 0 + -2). Solve -23 = m - 4*j, -s*m + 0*m - 5*j + 13 = 0 for m.\n' | b'-3\n' | b'Suppose -c + 3*r = -r + 4, 0 = -4*r + 4. Let a = c - 1. Let s be 1 - (a + 0 + -2). Solve -23 = m - 4*j, -s*m + 0*m - 5*j + 13 = 0 for m.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 g and 1 e when two letters picked without replacement from yyvvgevov.\n' | b'1/36\n' | b'Calculate prob of picking 1 g and 1 e when two letters picked without replacement from yyvvgevov.\n' | b'1/36\n' | deepmind/math_dataset |
b'Let u(x) = x - 38. Let k(r) = -r + 86 - r + 28. Let b(m) = -2*k(m) - 7*u(m). Let n be b(11). Solve 3*i = -3*g + 15, -4*g - 5 + 25 = -n*i for g.\n' | b'5\n' | b'Let u(x) = x - 38. Let k(r) = -r + 86 - r + 28. Let b(m) = -2*k(m) - 7*u(m). Let n be b(11). Solve 3*i = -3*g + 15, -4*g - 5 + 25 = -n*i for g.\n' | b'5\n' | deepmind/math_dataset |
b'What is the first derivative of 2164 + 3604 - 1450 + m + 4117*m**2 + 1687 wrt m?\n' | b'8234*m + 1\n' | b'What is the first derivative of 2164 + 3604 - 1450 + m + 4117*m**2 + 1687 wrt m?\n' | b'8234*m + 1\n' | deepmind/math_dataset |
b'Suppose 20 = -5*b + 65. Suppose 10*o = b*o. Let i(g) = g**2 - 6. What is i(o)?\n' | b'-6\n' | b'Suppose 20 = -5*b + 65. Suppose 10*o = b*o. Let i(g) = g**2 - 6. What is i(o)?\n' | b'-6\n' | deepmind/math_dataset |
b'Let z(f) = f**3 - 4*f**2 - 9*f + 17. Let s be z(5). Let r be s/((-54)/6)*75. Solve -4*o + 60 = -5*b + 15, -r = -4*o + b for o.\n' | b'5\n' | b'Let z(f) = f**3 - 4*f**2 - 9*f + 17. Let s be z(5). Let r be s/((-54)/6)*75. Solve -4*o + 60 = -5*b + 15, -r = -4*o + b for o.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -o = 5*y - 2*o - 129, y - 24 = 2*o. Let s = 29 - y. Let n(j) = -j**2 + 4*j + 1. Let f be n(s). Let h(u) = u**3 - 3*u**2 - 4*u - 5. What is h(f)?\n' | b'-5\n' | b'Suppose -o = 5*y - 2*o - 129, y - 24 = 2*o. Let s = 29 - y. Let n(j) = -j**2 + 4*j + 1. Let f be n(s). Let h(u) = u**3 - 3*u**2 - 4*u - 5. What is h(f)?\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (a**(-6))**(-1/52)/(a/(a*a**(-11)))**27 assuming a is positive.\n' | b'a**(-7719/26)\n' | b'Simplify (a**(-6))**(-1/52)/(a/(a*a**(-11)))**27 assuming a is positive.\n' | b'a**(-7719/26)\n' | deepmind/math_dataset |
b'Let x(i) be the third derivative of 0 + 0*i**5 + 0*i**6 - 3*i**2 - 1/105*i**7 + 0*i + 0*i**3 + 1/6*i**4. Find the second derivative of x(u) wrt u.\n' | b'-24*u**2\n' | b'Let x(i) be the third derivative of 0 + 0*i**5 + 0*i**6 - 3*i**2 - 1/105*i**7 + 0*i + 0*i**3 + 1/6*i**4. Find the second derivative of x(u) wrt u.\n' | b'-24*u**2\n' | deepmind/math_dataset |
b'Let b(i) be the third derivative of 38*i**2 + 0 - 11/20*i**6 - 11/30*i**5 + 0*i**3 - 2*i + 0*i**4. Find the third derivative of b(y) wrt y.\n' | b'-396\n' | b'Let b(i) be the third derivative of 38*i**2 + 0 - 11/20*i**6 - 11/30*i**5 + 0*i**3 - 2*i + 0*i**4. Find the third derivative of b(y) wrt y.\n' | b'-396\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 h when three letters picked without replacement from {h: 6, z: 3, p: 4}.\n' | b'10/143\n' | b'Calculate prob of picking 3 h when three letters picked without replacement from {h: 6, z: 3, p: 4}.\n' | b'10/143\n' | deepmind/math_dataset |
b'Let c be 1/(3 - 105/36). Let p = 15 - c. Solve -4*v = p*g, 2*v - 5 = 5*g + 21 for g.\n' | b'-4\n' | b'Let c be 1/(3 - 105/36). Let p = 15 - c. Solve -4*v = p*g, 2*v - 5 = 5*g + 21 for g.\n' | b'-4\n' | deepmind/math_dataset |
b'Let u(b) = -11*b - 72. Let c be u(-7). Solve -3*v - c + 23 = 3*a, 4*a - 4*v = -8 for a.\n' | b'2\n' | b'Let u(b) = -11*b - 72. Let c be u(-7). Solve -3*v - c + 23 = 3*a, 4*a - 4*v = -8 for a.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jafaaaajaakfaakaaa. Give prob of sequence kk.\n' | b'1/153\n' | b'Two letters picked without replacement from jafaaaajaakfaakaaa. Give prob of sequence kk.\n' | b'1/153\n' | deepmind/math_dataset |
b'Let x be 14/(-35) + 24/10. Suppose 0 = 5*n + 5*d - 93 - 32, -x*n - 3*d + 55 = 0. Suppose -47*b - n = -43*b. Let t(o) = o + 6. Give t(b).\n' | b'1\n' | b'Let x be 14/(-35) + 24/10. Suppose 0 = 5*n + 5*d - 93 - 32, -x*n - 3*d + 55 = 0. Suppose -47*b - n = -43*b. Let t(o) = o + 6. Give t(b).\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 a when two letters picked without replacement from {t: 9, a: 5}.\n' | b'10/91\n' | b'Calculate prob of picking 2 a when two letters picked without replacement from {t: 9, a: 5}.\n' | b'10/91\n' | deepmind/math_dataset |
b'Simplify (i/(i/i**(4/5)))**(-30) assuming i is positive.\n' | b'i**(-24)\n' | b'Simplify (i/(i/i**(4/5)))**(-30) assuming i is positive.\n' | b'i**(-24)\n' | deepmind/math_dataset |
b'Simplify ((s*((s*s/(s*s**(-1)))/s*s)/s)**34/((s*(s*s/s**(-4))/s)/(s*s**(-3))))/((s*s/(s/(s*s*s**1/s)))**(-1))**(3/32) assuming s is positive.\n' | b's**(1929/32)\n' | b'Simplify ((s*((s*s/(s*s**(-1)))/s*s)/s)**34/((s*(s*s/s**(-4))/s)/(s*s**(-3))))/((s*s/(s/(s*s*s**1/s)))**(-1))**(3/32) assuming s is positive.\n' | b's**(1929/32)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {t: 1, i: 2, o: 2, z: 3, a: 2, u: 4}. Give prob of sequence uutu.\n' | b'1/1001\n' | b'Four letters picked without replacement from {t: 1, i: 2, o: 2, z: 3, a: 2, u: 4}. Give prob of sequence uutu.\n' | b'1/1001\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 q when four letters picked without replacement from qqqqqqq.\n' | b'1\n' | b'Calculate prob of picking 4 q when four letters picked without replacement from qqqqqqq.\n' | b'1\n' | deepmind/math_dataset |
b'Let b(d) = -3*d**2 - d + 3. Let y be (-11 + 10)/((-1)/(-3)). Let g(q) = -3*q**2 - q + 2. Let h(x) = y*g(x) + 2*b(x). Determine h(1).\n' | b'4\n' | b'Let b(d) = -3*d**2 - d + 3. Let y be (-11 + 10)/((-1)/(-3)). Let g(q) = -3*q**2 - q + 2. Let h(x) = y*g(x) + 2*b(x). Determine h(1).\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -5*h - 10 = 3*t, h + t + 4 = -h. Let q be (0 - (0 - -3)) + h. Let i(g) = -46*g - 45*g + 139*g + 7 - 49*g. Determine i(q).\n' | b'12\n' | b'Suppose -5*h - 10 = 3*t, h + t + 4 = -h. Let q be (0 - (0 - -3)) + h. Let i(g) = -46*g - 45*g + 139*g + 7 - 49*g. Determine i(q).\n' | b'12\n' | deepmind/math_dataset |
b'Suppose -2*l = -u + 15, -3*l - 22 - 13 = -4*u. Let f(z) be the first derivative of 5/2*z**2 - 5*z + 1 - 1/3*z**3. Calculate f(u).\n' | b'-5\n' | b'Suppose -2*l = -u + 15, -3*l - 22 - 13 = -4*u. Let f(z) be the first derivative of 5/2*z**2 - 5*z + 1 - 1/3*z**3. Calculate f(u).\n' | b'-5\n' | deepmind/math_dataset |
b'Let t(f) = -f**2 - 7*f - 6. Let i(w) = -w**2 + 4*w + 7. Let g be i(6). Let v be t(g). Let m(k) = -2 - 3*k**2 - 2*k**2 + v*k**2 + 6*k. Calculate m(4).\n' | b'6\n' | b'Let t(f) = -f**2 - 7*f - 6. Let i(w) = -w**2 + 4*w + 7. Let g be i(6). Let v be t(g). Let m(k) = -2 - 3*k**2 - 2*k**2 + v*k**2 + 6*k. Calculate m(4).\n' | b'6\n' | deepmind/math_dataset |
b'Let n be (-32)/(-80) + -3*(-14)/(-5). Let f be (-20)/8*n/10 + -1. Solve 0 = -5*w - 0*a + 4*a + f, w - 3 = -2*a for w.\n' | b'1\n' | b'Let n be (-32)/(-80) + -3*(-14)/(-5). Let f be (-20)/8*n/10 + -1. Solve 0 = -5*w - 0*a + 4*a + f, w - 3 = -2*a for w.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((p*p**(-6)*p)/((p**(2/11)*p)/p))**(1/11)*(p**(-1/2)*p)**(-41)*(p**(-1/3))**(1/3) assuming p is positive.\n' | b'p**(-45719/2178)\n' | b'Simplify ((p*p**(-6)*p)/((p**(2/11)*p)/p))**(1/11)*(p**(-1/2)*p)**(-41)*(p**(-1/3))**(1/3) assuming p is positive.\n' | b'p**(-45719/2178)\n' | deepmind/math_dataset |
b'Let d(a) = 8*a**2 - a. Let h be d(-1). Suppose 0 = -2*p + 11*y - h*y + 36, -2*y = -4*p + 64. Solve 2*i - i - p = -4*v, 4 = 2*v - i for v.\n' | b'3\n' | b'Let d(a) = 8*a**2 - a. Let h be d(-1). Suppose 0 = -2*p + 11*y - h*y + 36, -2*y = -4*p + 64. Solve 2*i - i - p = -4*v, 4 = 2*v - i for v.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 3, p: 2, g: 4}. What is prob of picking 2 p?\n' | b'1/36\n' | b'Two letters picked without replacement from {y: 3, p: 2, g: 4}. What is prob of picking 2 p?\n' | b'1/36\n' | deepmind/math_dataset |
b'Suppose 0 = -4*o + 4*b + 26 + 34, -5*o - 2*b + 33 = 0. Solve 141*a = -3*s + 138*a + o, 4*s - a = -8 for s.\n' | b'-1\n' | b'Suppose 0 = -4*o + 4*b + 26 + 34, -5*o - 2*b + 33 = 0. Solve 141*a = -3*s + 138*a + o, 4*s - a = -8 for s.\n' | b'-1\n' | deepmind/math_dataset |
b'Let m(q) be the first derivative of -17*q**6/10 + 87*q**2/2 - 146*q + 15. Let a(u) be the first derivative of m(u). Differentiate a(o) wrt o.\n' | b'-204*o**3\n' | b'Let m(q) be the first derivative of -17*q**6/10 + 87*q**2/2 - 146*q + 15. Let a(u) be the first derivative of m(u). Differentiate a(o) wrt o.\n' | b'-204*o**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nokyrnnyynyrnyrnno. Give prob of sequence nnnn.\n' | b'7/612\n' | b'Four letters picked without replacement from nokyrnnyynyrnyrnno. Give prob of sequence nnnn.\n' | b'7/612\n' | deepmind/math_dataset |
b'Suppose -19*t = -26*t - 3*k + 3, 0 = 2*k - 2. Let w(r) be the second derivative of t*r**3 + 0 + 3*r**2 + 22*r + 7/4*r**4. What is the derivative of w(n) wrt n?\n' | b'42*n\n' | b'Suppose -19*t = -26*t - 3*k + 3, 0 = 2*k - 2. Let w(r) be the second derivative of t*r**3 + 0 + 3*r**2 + 22*r + 7/4*r**4. What is the derivative of w(n) wrt n?\n' | b'42*n\n' | deepmind/math_dataset |
b'Simplify (n**(-2/7)/n**2)/(n**2/((n**(-5)*n)/n))*n**1/n*n*n*n**1*(n*n**(-1))**33 assuming n is positive.\n' | b'n**(-44/7)\n' | b'Simplify (n**(-2/7)/n**2)/(n**2/((n**(-5)*n)/n))*n**1/n*n*n*n**1*(n*n**(-1))**33 assuming n is positive.\n' | b'n**(-44/7)\n' | deepmind/math_dataset |
b'Let k be (-1 + 2)/(2/8). Solve y - 2*f + 0 - k = 0, 2*f + 8 = 2*y for y.\n' | b'4\n' | b'Let k be (-1 + 2)/(2/8). Solve y - 2*f + 0 - k = 0, 2*f + 8 = 2*y for y.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 5 = 4*f - 3. Find the second derivative of 9*h**4 - 2*h**2 + 2*h**f - 6*h wrt h.\n' | b'108*h**2\n' | b'Suppose 5 = 4*f - 3. Find the second derivative of 9*h**4 - 2*h**2 + 2*h**f - 6*h wrt h.\n' | b'108*h**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from fhhplhnhhppfhfphppp. What is prob of picking 1 f and 3 h?\n' | b'35/1292\n' | b'Four letters picked without replacement from fhhplhnhhppfhfphppp. What is prob of picking 1 f and 3 h?\n' | b'35/1292\n' | deepmind/math_dataset |
b'What is the third derivative of -1 - 118*v**2 - 24*v**6 + 2*v**2 + 202*v**6 wrt v?\n' | b'21360*v**3\n' | b'What is the third derivative of -1 - 118*v**2 - 24*v**6 + 2*v**2 + 202*v**6 wrt v?\n' | b'21360*v**3\n' | deepmind/math_dataset |
b'Let b(z) = 4*z**3. Let l(h) = -9*h**3 + 1. Let d(a) = 5*b(a) + 2*l(a). What is d(-2)?\n' | b'-14\n' | b'Let b(z) = 4*z**3. Let l(h) = -9*h**3 + 1. Let d(a) = 5*b(a) + 2*l(a). What is d(-2)?\n' | b'-14\n' | deepmind/math_dataset |
b'Simplify (((j*j**(1/7))/j**(-1)*(j/(j/(j**(-1)*j)))**(23/2))**(-3/34))**(-39) assuming j is positive.\n' | b'j**(1755/238)\n' | b'Simplify (((j*j**(1/7))/j**(-1)*(j/(j/(j**(-1)*j)))**(23/2))**(-3/34))**(-39) assuming j is positive.\n' | b'j**(1755/238)\n' | deepmind/math_dataset |
b'What is the first derivative of -588947 - f**2 + 588779 - 386*f + 2*f**2 wrt f?\n' | b'2*f - 386\n' | b'What is the first derivative of -588947 - f**2 + 588779 - 386*f + 2*f**2 wrt f?\n' | b'2*f - 386\n' | deepmind/math_dataset |
b'Let v(c) = -3*c. Let t be v(-1). Find the third derivative of d**2 - 4*d + d**2 + 4*d - t*d**3 wrt d.\n' | b'-18\n' | b'Let v(c) = -3*c. Let t be v(-1). Find the third derivative of d**2 - 4*d + d**2 + 4*d - t*d**3 wrt d.\n' | b'-18\n' | deepmind/math_dataset |
b'Calculate prob of sequence mo when two letters picked without replacement from {b: 1, z: 1, o: 1, e: 1, m: 2, x: 1}.\n' | b'1/21\n' | b'Calculate prob of sequence mo when two letters picked without replacement from {b: 1, z: 1, o: 1, e: 1, m: 2, x: 1}.\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify ((b/b**(-1/5))/(b/b**(6/11)))/((((b**11*b)/b)/b)/b*b/(b**(-4/9)/b)*b) assuming b is positive.\n' | b'b**(-5791/495)\n' | b'Simplify ((b/b**(-1/5))/(b/b**(6/11)))/((((b**11*b)/b)/b)/b*b/(b**(-4/9)/b)*b) assuming b is positive.\n' | b'b**(-5791/495)\n' | deepmind/math_dataset |
b'Simplify ((f*f*(f/(f*(f*f**(2/7)*f)/f))/f*f)**48/(f**(2/21)*f*f/((f*f**4)/f)*f))/((f**(2/7))**(-8/9)/(f**2/(f**4*f))) assuming f is positive.\n' | b'f**(292/9)\n' | b'Simplify ((f*f*(f/(f*(f*f**(2/7)*f)/f))/f*f)**48/(f**(2/21)*f*f/((f*f**4)/f)*f))/((f**(2/7))**(-8/9)/(f**2/(f**4*f))) assuming f is positive.\n' | b'f**(292/9)\n' | deepmind/math_dataset |
b'Let w(z) = -z**3 + 5*z**2 - 6*z + 7. Let l be w(4). Let y(q) = 12*q**2 + 1 - 16*q**2 + 0*q + 2*q. Calculate y(l).\n' | b'-5\n' | b'Let w(z) = -z**3 + 5*z**2 - 6*z + 7. Let l be w(4). Let y(q) = 12*q**2 + 1 - 16*q**2 + 0*q + 2*q. Calculate y(l).\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (v/(v**(4/7)/v))**4/(v/(v*v*v*v**(-3/2)))**(2/19) assuming v is positive.\n' | b'v**(767/133)\n' | b'Simplify (v/(v**(4/7)/v))**4/(v/(v*v*v*v**(-3/2)))**(2/19) assuming v is positive.\n' | b'v**(767/133)\n' | deepmind/math_dataset |
b'Simplify (s/(s*s/(((s*s**1/s*s)/s)/s)*s))**(1/8)/(s/(s**(-4/5)/s)*s**(-2/3))*(s**8/s**(1/7))/(s**1)**(-6) assuming s is positive.\n' | b's**(4819/420)\n' | b'Simplify (s/(s*s/(((s*s**1/s*s)/s)/s)*s))**(1/8)/(s/(s**(-4/5)/s)*s**(-2/3))*(s**8/s**(1/7))/(s**1)**(-6) assuming s is positive.\n' | b's**(4819/420)\n' | deepmind/math_dataset |
b'Let s(u) = 7*u**2 - 15*u - 11. Let k(q) = -30*q**2 + 60*q + 45. Let m(b) = 2*k(b) + 9*s(b). What is m(7)?\n' | b'33\n' | b'Let s(u) = 7*u**2 - 15*u - 11. Let k(q) = -30*q**2 + 60*q + 45. Let m(b) = 2*k(b) + 9*s(b). What is m(7)?\n' | b'33\n' | deepmind/math_dataset |
b'Simplify u**(3/32)*u*u**(3/4)*u**(-24)/u**30 assuming u is positive.\n' | b'u**(-1669/32)\n' | b'Simplify u**(3/32)*u*u**(3/4)*u**(-24)/u**30 assuming u is positive.\n' | b'u**(-1669/32)\n' | deepmind/math_dataset |
b'Let l = 6 + -4. Let u be l + (-1 - 3/(-3)). Solve 31 = 2*p + 5*y, u*y - 2 - 5 = p for p.\n' | b'3\n' | b'Let l = 6 + -4. Let u be l + (-1 - 3/(-3)). Solve 31 = 2*p + 5*y, u*y - 2 - 5 = p for p.\n' | b'3\n' | deepmind/math_dataset |
b'Let g be 2 - 2 - ((3 - 2) + 3). Let z be (-9)/g + 0 - (-90)/120. Solve 5*t + 3*u = 10, 18 = t - 2*u + z for t.\n' | b'5\n' | b'Let g be 2 - 2 - ((3 - 2) + 3). Let z be (-9)/g + 0 - (-90)/120. Solve 5*t + 3*u = 10, 18 = t - 2*u + z for t.\n' | b'5\n' | deepmind/math_dataset |
b'Let l(b) = -b**2 + 12*b + 23. Let f be (3850/875)/((-4)/(-10)). Determine l(f).\n' | b'34\n' | b'Let l(b) = -b**2 + 12*b + 23. Let f be (3850/875)/((-4)/(-10)). Determine l(f).\n' | b'34\n' | deepmind/math_dataset |
b'Calculate prob of sequence xx when two letters picked without replacement from xhhhxhxxhhxx.\n' | b'5/22\n' | b'Calculate prob of sequence xx when two letters picked without replacement from xhhhxhxxhhxx.\n' | b'5/22\n' | deepmind/math_dataset |
b'Suppose -4*h + 6 = -h. Find the third derivative of -6*z**h + z**6 - z**4 + 4*z**2 + z**4 wrt z.\n' | b'120*z**3\n' | b'Suppose -4*h + 6 = -h. Find the third derivative of -6*z**h + z**6 - z**4 + 4*z**2 + z**4 wrt z.\n' | b'120*z**3\n' | deepmind/math_dataset |
b'Let q be 140/25 + ((-36)/(-10))/(-6). Solve -3*x - q*h - 13 = 9, -4*x = -5*h + 6 for x.\n' | b'-4\n' | b'Let q be 140/25 + ((-36)/(-10))/(-6). Solve -3*x - q*h - 13 = 9, -4*x = -5*h + 6 for x.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -48 = -37*b + 33*b + 4*u, 5*u - 50 = -6*b. Let d = 11 - 16. Let v be (d/2)/(9/(-18)). Solve 5*i - 5*j = -b, -v*i = -0*j + 4*j + 28 for i.\n' | b'-4\n' | b'Suppose -48 = -37*b + 33*b + 4*u, 5*u - 50 = -6*b. Let d = 11 - 16. Let v be (d/2)/(9/(-18)). Solve 5*i - 5*j = -b, -v*i = -0*j + 4*j + 28 for i.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (g*g**(-9)*g)/g*g/g**(-8)*(g**1*g)**(1/32) assuming g is positive.\n' | b'g**(17/16)\n' | b'Simplify (g*g**(-9)*g)/g*g/g**(-8)*(g**1*g)**(1/32) assuming g is positive.\n' | b'g**(17/16)\n' | deepmind/math_dataset |
b'Let v(z) = z. Let w be (-1 + -1)*(-2)/4. Suppose w = -i + 2. Let y = i - 1. Give v(y).\n' | b'0\n' | b'Let v(z) = z. Let w be (-1 + -1)*(-2)/4. Suppose w = -i + 2. Let y = i - 1. Give v(y).\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of sequence miqq when four letters picked without replacement from {i: 2, m: 7, q: 4}?\n' | b'7/715\n' | b'What is prob of sequence miqq when four letters picked without replacement from {i: 2, m: 7, q: 4}?\n' | b'7/715\n' | deepmind/math_dataset |
b'Suppose 37 = -3*d - 5*c, 9*d - 23 = 11*d + 3*c. Let g(s) = -s + 2. Give g(d).\n' | b'6\n' | b'Suppose 37 = -3*d - 5*c, 9*d - 23 = 11*d + 3*c. Let g(s) = -s + 2. Give g(d).\n' | b'6\n' | deepmind/math_dataset |
b'Let r(p) = -p**3 - p**2 + 1. Let o(t) = t**2 + 16*t + 15. Let q be o(-15). Calculate r(q).\n' | b'1\n' | b'Let r(p) = -p**3 - p**2 + 1. Let o(t) = t**2 + 16*t + 15. Let q be o(-15). Calculate r(q).\n' | b'1\n' | deepmind/math_dataset |
b'Let f = 590 + -590. Solve -3*c = 3*s, f*s = 2*s + 10 for c.\n' | b'5\n' | b'Let f = 590 + -590. Solve -3*c = 3*s, f*s = 2*s + 10 for c.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (y/y**(-6)*(y*y*y**(2/13))/y)**43 assuming y is positive.\n' | b'y**(4558/13)\n' | b'Simplify (y/y**(-6)*(y*y*y**(2/13))/y)**43 assuming y is positive.\n' | b'y**(4558/13)\n' | deepmind/math_dataset |
b'What is prob of picking 1 g and 1 k when two letters picked without replacement from {b: 4, i: 2, k: 1, p: 2, g: 8, d: 2}?\n' | b'8/171\n' | b'What is prob of picking 1 g and 1 k when two letters picked without replacement from {b: 4, i: 2, k: 1, p: 2, g: 8, d: 2}?\n' | b'8/171\n' | deepmind/math_dataset |
b'Let p(w) = 7*w**2 + 6*w. Let a(v) = 8*v**2 + 5*v. Let r(n) = 2*a(n) - 3*p(n). Find the second derivative of r(o) wrt o.\n' | b'-10\n' | b'Let p(w) = 7*w**2 + 6*w. Let a(v) = 8*v**2 + 5*v. Let r(n) = 2*a(n) - 3*p(n). Find the second derivative of r(o) wrt o.\n' | b'-10\n' | deepmind/math_dataset |
b'Let q(s) = -s**3 + s**2 + 8*s. Let a be q(-3). Let b be ((-6)/9)/(3 + (-37)/a). Find the second derivative of -b*i + 2*i - 8*i**3 - 2*i + 0*i wrt i.\n' | b'-48*i\n' | b'Let q(s) = -s**3 + s**2 + 8*s. Let a be q(-3). Let b be ((-6)/9)/(3 + (-37)/a). Find the second derivative of -b*i + 2*i - 8*i**3 - 2*i + 0*i wrt i.\n' | b'-48*i\n' | deepmind/math_dataset |
b'Let a(f) be the second derivative of -f**3/6 - f**2/2 - 3*f. Give a(-5).\n' | b'4\n' | b'Let a(f) be the second derivative of -f**3/6 - f**2/2 - 3*f. Give a(-5).\n' | b'4\n' | deepmind/math_dataset |
b'Let l(q) be the third derivative of q**4/24 - 5*q**3/6 - 21*q**2 + 2*q. What is l(8)?\n' | b'3\n' | b'Let l(q) be the third derivative of q**4/24 - 5*q**3/6 - 21*q**2 + 2*q. What is l(8)?\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((i**(-2/7)/i*i)/i)**15/((i**(-1/5)*i)/(i/i**9)) assuming i is positive.\n' | b'i**(-983/35)\n' | b'Simplify ((i**(-2/7)/i*i)/i)**15/((i**(-1/5)*i)/(i/i**9)) assuming i is positive.\n' | b'i**(-983/35)\n' | deepmind/math_dataset |
b'Calculate prob of sequence lll when three letters picked without replacement from lillllil.\n' | b'5/14\n' | b'Calculate prob of sequence lll when three letters picked without replacement from lillllil.\n' | b'5/14\n' | deepmind/math_dataset |
b'Suppose g + 2 = 2*g. Let b(k) = k + 11. Let u be b(-7). What is the third derivative of -2*j**2 - u*j**g + 5*j**2 - j**3 wrt j?\n' | b'-6\n' | b'Suppose g + 2 = 2*g. Let b(k) = k + 11. Let u be b(-7). What is the third derivative of -2*j**2 - u*j**g + 5*j**2 - j**3 wrt j?\n' | b'-6\n' | deepmind/math_dataset |
b'Let o(z) be the first derivative of -3 + 0*z + 4/5*z**5 + 0*z**4 + 4/3*z**3 + 0*z**2. Find the third derivative of o(h) wrt h.\n' | b'96*h\n' | b'Let o(z) be the first derivative of -3 + 0*z + 4/5*z**5 + 0*z**4 + 4/3*z**3 + 0*z**2. Find the third derivative of o(h) wrt h.\n' | b'96*h\n' | deepmind/math_dataset |
b'Simplify (r**(-1))**(1/21)/(r**4*r/r**(-10)*r*r) assuming r is positive.\n' | b'r**(-358/21)\n' | b'Simplify (r**(-1))**(1/21)/(r**4*r/r**(-10)*r*r) assuming r is positive.\n' | b'r**(-358/21)\n' | deepmind/math_dataset |
b'What is prob of sequence fe when two letters picked without replacement from {e: 1, l: 1, f: 1, x: 1, v: 2, n: 1}?\n' | b'1/42\n' | b'What is prob of sequence fe when two letters picked without replacement from {e: 1, l: 1, f: 1, x: 1, v: 2, n: 1}?\n' | b'1/42\n' | deepmind/math_dataset |
b'Let o(n) = -384*n + 9987. Let v be o(26). Solve -4 = -4*f, -14*f = v*l - 9*f + 1 for l.\n' | b'-2\n' | b'Let o(n) = -384*n + 9987. Let v be o(26). Solve -4 = -4*f, -14*f = v*l - 9*f + 1 for l.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 3*t - 5 = 10. What is the third derivative of 11*d**2 + 11*d**t - 15*d**2 - 7*d**2 wrt d?\n' | b'660*d**2\n' | b'Suppose 3*t - 5 = 10. What is the third derivative of 11*d**2 + 11*d**t - 15*d**2 - 7*d**2 wrt d?\n' | b'660*d**2\n' | deepmind/math_dataset |
b'Let v = -11 - -19. Let s = v - -7. Suppose 0*m - 5*m = -s. Solve 9*q = 4*q + 2*b + 8, 3*q + m*b + 12 = 0 for q.\n' | b'0\n' | b'Let v = -11 - -19. Let s = v - -7. Suppose 0*m - 5*m = -s. Solve 9*q = 4*q + 2*b + 8, 3*q + m*b + 12 = 0 for q.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 1 y when two letters picked without replacement from ppuyf?\n' | b'1/10\n' | b'What is prob of picking 1 u and 1 y when two letters picked without replacement from ppuyf?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let x(a) be the second derivative of 6*a + 0 - 3*a**2 - 1/2*a**3. Differentiate x(b) wrt b.\n' | b'-3\n' | b'Let x(a) be the second derivative of 6*a + 0 - 3*a**2 - 1/2*a**3. Differentiate x(b) wrt b.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence hhn when three letters picked without replacement from ffnnfhhnnfhfnnnfh?\n' | b'7/340\n' | b'What is prob of sequence hhn when three letters picked without replacement from ffnnfhhnnfhfnnnfh?\n' | b'7/340\n' | deepmind/math_dataset |
b'Simplify ((s*s**6)/(s*s/s**(-5/8)))**(-32) assuming s is positive.\n' | b's**(-140)\n' | b'Simplify ((s*s**6)/(s*s/s**(-5/8)))**(-32) assuming s is positive.\n' | b's**(-140)\n' | deepmind/math_dataset |
b'Let s be -2 - (-3)/((-3)/2). Let f be s/18 + (-38)/(-9). Suppose o - 2 = -5*i, 2 = o - 3*i + 7*i. Solve 2*u - m = o*m + 2, 4*u + 5*m - f = 0 for u.\n' | b'1\n' | b'Let s be -2 - (-3)/((-3)/2). Let f be s/18 + (-38)/(-9). Suppose o - 2 = -5*i, 2 = o - 3*i + 7*i. Solve 2*u - m = o*m + 2, 4*u + 5*m - f = 0 for u.\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 2, m: 3, h: 5}. What is prob of sequence fmhh?\n' | b'1/42\n' | b'Four letters picked without replacement from {f: 2, m: 3, h: 5}. What is prob of sequence fmhh?\n' | b'1/42\n' | deepmind/math_dataset |
b'Calculate prob of sequence tz when two letters picked without replacement from zzzzzztztt.\n' | b'7/30\n' | b'Calculate prob of sequence tz when two letters picked without replacement from zzzzzztztt.\n' | b'7/30\n' | deepmind/math_dataset |
b'Calculate prob of sequence mco when three letters picked without replacement from cbbccppmmcpopb.\n' | b'1/273\n' | b'Calculate prob of sequence mco when three letters picked without replacement from cbbccppmmcpopb.\n' | b'1/273\n' | deepmind/math_dataset |
b'Let z(o) = o**3 - 4*o**2 - 3*o + 4. Suppose 2*h + 32 = 6*h + 4*w, 14 = 4*h - 2*w. What is z(h)?\n' | b'14\n' | b'Let z(o) = o**3 - 4*o**2 - 3*o + 4. Suppose 2*h + 32 = 6*h + 4*w, 14 = 4*h - 2*w. What is z(h)?\n' | b'14\n' | deepmind/math_dataset |
b'Four letters picked without replacement from fdjyfjdccfdcdf. What is prob of picking 2 y and 2 d?\n' | b'0\n' | b'Four letters picked without replacement from fdjyfjdccfdcdf. What is prob of picking 2 y and 2 d?\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rrrereerrrreereqerr. What is prob of picking 1 r and 1 q?\n' | b'11/171\n' | b'Two letters picked without replacement from rrrereerrrreereqerr. What is prob of picking 1 r and 1 q?\n' | b'11/171\n' | deepmind/math_dataset |
b'Suppose -3*z + 23 = 4*h, -3*z = 2*z + 2*h - 29. Let a(l) be the first derivative of 1 + z*l**2 - 3*l**2 - l**2. Determine a(1).\n' | b'2\n' | b'Suppose -3*z + 23 = 4*h, -3*z = 2*z + 2*h - 29. Let a(l) be the first derivative of 1 + z*l**2 - 3*l**2 - l**2. Determine a(1).\n' | b'2\n' | deepmind/math_dataset |
b'Let g(l) be the first derivative of 54*l**3 - 66*l - 71. What is the derivative of g(a) wrt a?\n' | b'324*a\n' | b'Let g(l) be the first derivative of 54*l**3 - 66*l - 71. What is the derivative of g(a) wrt a?\n' | b'324*a\n' | deepmind/math_dataset |
b'What is prob of picking 2 l when two letters picked without replacement from {x: 1, l: 2}?\n' | b'1/3\n' | b'What is prob of picking 2 l when two letters picked without replacement from {x: 1, l: 2}?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let o(a) be the third derivative of -631*a**5/60 + 187*a**4/6 - 6*a**2 + 15. Find the second derivative of o(v) wrt v.\n' | b'-1262\n' | b'Let o(a) be the third derivative of -631*a**5/60 + 187*a**4/6 - 6*a**2 + 15. Find the second derivative of o(v) wrt v.\n' | b'-1262\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qaasseqqhzease. Give prob of sequence zq.\n' | b'3/182\n' | b'Two letters picked without replacement from qaasseqqhzease. Give prob of sequence zq.\n' | b'3/182\n' | deepmind/math_dataset |
b'Suppose 0*b - 52 = -4*b. Solve 0 = 5*z + h + 4 - 11, -3*z = 5*h - b for z.\n' | b'1\n' | b'Suppose 0*b - 52 = -4*b. Solve 0 = 5*z + h + 4 - 11, -3*z = 5*h - b for z.\n' | b'1\n' | deepmind/math_dataset |
b'Let c(w) be the first derivative of w**3/3 + 5*w**2/2 - 5*w - 2. Suppose 40 = -5*x - 30. Let h(b) = -b**3 - 15*b**2 - 14*b - 6. Let t be h(x). Calculate c(t).\n' | b'1\n' | b'Let c(w) be the first derivative of w**3/3 + 5*w**2/2 - 5*w - 2. Suppose 40 = -5*x - 30. Let h(b) = -b**3 - 15*b**2 - 14*b - 6. Let t be h(x). Calculate c(t).\n' | b'1\n' | deepmind/math_dataset |
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