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 r be 837/243 + 5/45*-4. Solve r*b = l - 7, 12*b - 2*l - 2 = 10*b for b.\n' | b'-4\n' | b'Let r be 837/243 + 5/45*-4. Solve r*b = l - 7, 12*b - 2*l - 2 = 10*b for b.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (g*g*(g*(g*g**(-2)/g)/g)/g*g*g/g**(6/5))**30 assuming g is positive.\n' | b'g**(-6)\n' | b'Simplify (g*g*(g*(g*g**(-2)/g)/g)/g*g*g/g**(6/5))**30 assuming g is positive.\n' | b'g**(-6)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from bbbbbb. Give prob of picking 3 b.\n' | b'1\n' | b'Three letters picked without replacement from bbbbbb. Give prob of picking 3 b.\n' | b'1\n' | deepmind/math_dataset |
b'Let x be (-1 - 5)/(3/(-2)). Suppose -d - 1 + 0 = b, 21 = x*b - d. Let s = 3 - 0. Solve -s*y + a + a = 3, 4*y + b*a = -4 for y.\n' | b'-1\n' | b'Let x be (-1 - 5)/(3/(-2)). Suppose -d - 1 + 0 = b, 21 = x*b - d. Let s = 3 - 0. Solve -s*y + a + a = 3, 4*y + b*a = -4 for y.\n' | b'-1\n' | deepmind/math_dataset |
b'Let q(p) be the first derivative of 7*p**5/5 - p**3 - 1. Find the third derivative of q(x) wrt x.\n' | b'168*x\n' | b'Let q(p) be the first derivative of 7*p**5/5 - p**3 - 1. Find the third derivative of q(x) wrt x.\n' | b'168*x\n' | deepmind/math_dataset |
b'Suppose -5*c + 15 = -5*t, 4*c = 70*t - 65*t + 10. Solve 2*w + t*w + 11 = 3*s, 5*s = 5*w + 10 for w.\n' | b'-5\n' | b'Suppose -5*c + 15 = -5*t, 4*c = 70*t - 65*t + 10. Solve 2*w + t*w + 11 = 3*s, 5*s = 5*w + 10 for w.\n' | b'-5\n' | deepmind/math_dataset |
b'Let i(j) = -63*j + 240. Let k(c) = 4*c - 15. Let v(s) = 2*i(s) + 33*k(s). What is the derivative of v(n) wrt n?\n' | b'6\n' | b'Let i(j) = -63*j + 240. Let k(c) = 4*c - 15. Let v(s) = 2*i(s) + 33*k(s). What is the derivative of v(n) wrt n?\n' | b'6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jmuiyhh. What is prob of picking 1 i and 1 m?\n' | b'1/21\n' | b'Two letters picked without replacement from jmuiyhh. What is prob of picking 1 i and 1 m?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let d(k) be the third derivative of 0 - 7/3*k**3 + 14*k**2 + 7/24*k**4 + 0*k. Let i be d(2). Solve -5*o - 3*g + 7 = -o, o + 5*g - 6 = i for o.\n' | b'1\n' | b'Let d(k) be the third derivative of 0 - 7/3*k**3 + 14*k**2 + 7/24*k**4 + 0*k. Let i be d(2). Solve -5*o - 3*g + 7 = -o, o + 5*g - 6 = i for o.\n' | b'1\n' | deepmind/math_dataset |
b'Let f be 15/(-20)*4 - (-9 - -1). Solve f*h + 37 = -4*g, 0 = -6*g + 4*g - 4*h - 26 for g.\n' | b'-3\n' | b'Let f be 15/(-20)*4 - (-9 - -1). Solve f*h + 37 = -4*g, 0 = -6*g + 4*g - 4*h - 26 for g.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 2 f when two letters picked without replacement from {e: 3, f: 4}?\n' | b'2/7\n' | b'What is prob of picking 2 f when two letters picked without replacement from {e: 3, f: 4}?\n' | b'2/7\n' | deepmind/math_dataset |
b'Simplify (f**(-2/7)*f*f/((f*f**(-4/7))/f)*f)/(f*f**(-1/5)*f/(f/(f**(3/7)*f)))*((f**1)**18)**(3/11) assuming f is positive.\n' | b'f**(2297/385)\n' | b'Simplify (f**(-2/7)*f*f/((f*f**(-4/7))/f)*f)/(f*f**(-1/5)*f/(f/(f**(3/7)*f)))*((f**1)**18)**(3/11) assuming f is positive.\n' | b'f**(2297/385)\n' | deepmind/math_dataset |
b'Suppose 2*t + 6 + 5 = -5*p, -t + 3*p + 22 = 0. Let f(d) = 161 - 161 - t*d - d. Calculate f(1).\n' | b'-8\n' | b'Suppose 2*t + 6 + 5 = -5*p, -t + 3*p + 22 = 0. Let f(d) = 161 - 161 - t*d - d. Calculate f(1).\n' | b'-8\n' | deepmind/math_dataset |
b'Simplify ((c**13)**(-26))**(-40) assuming c is positive.\n' | b'c**13520\n' | b'Simplify ((c**13)**(-26))**(-40) assuming c is positive.\n' | b'c**13520\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ddyddddddddydyddyd. What is prob of sequence ydyd?\n' | b'91/3060\n' | b'Four letters picked without replacement from ddyddddddddydyddyd. What is prob of sequence ydyd?\n' | b'91/3060\n' | deepmind/math_dataset |
b'What is prob of sequence qik when three letters picked without replacement from iiqkuqii?\n' | b'1/42\n' | b'What is prob of sequence qik when three letters picked without replacement from iiqkuqii?\n' | b'1/42\n' | deepmind/math_dataset |
b'What is prob of picking 2 f and 1 w when three letters picked without replacement from {v: 3, w: 1, f: 7, i: 2, r: 4}?\n' | b'21/680\n' | b'What is prob of picking 2 f and 1 w when three letters picked without replacement from {v: 3, w: 1, f: 7, i: 2, r: 4}?\n' | b'21/680\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xgxxxxgx. Give prob of sequence xgg.\n' | b'1/28\n' | b'Three letters picked without replacement from xgxxxxgx. Give prob of sequence xgg.\n' | b'1/28\n' | deepmind/math_dataset |
b'Let o(z) = 4 - 20 + 5. Let p(q) = q - 10. Let w(y) = -3*o(y) + 4*p(y). Calculate w(5).\n' | b'13\n' | b'Let o(z) = 4 - 20 + 5. Let p(q) = q - 10. Let w(y) = -3*o(y) + 4*p(y). Calculate w(5).\n' | b'13\n' | deepmind/math_dataset |
b'Let u = -30 + 75. Let j be (-2)/9 + 1936/(-198). Let a be (1/4)/((-27)/54)*j. Solve 5*k - a*b - u = -0*b, 0 = 2*b + 8 for k.\n' | b'5\n' | b'Let u = -30 + 75. Let j be (-2)/9 + 1936/(-198). Let a be (1/4)/((-27)/54)*j. Solve 5*k - a*b - u = -0*b, 0 = 2*b + 8 for k.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -k = -4, -7 = -4*o + 3*k + 101. Solve d + 4*v + 25 = 0, -27*v = -o*v - 15 for d.\n' | b'-5\n' | b'Suppose -k = -4, -7 = -4*o + 3*k + 101. Solve d + 4*v + 25 = 0, -27*v = -o*v - 15 for d.\n' | b'-5\n' | deepmind/math_dataset |
b'Let k(p) = p**2 - 3*p - 2. Let w be k(4). Suppose 2*g = -y - 3*g - 13, 0 = -2*y - 5*g - 11. Solve -5*m + 25 = 4*d, d - 5 = -y*m + w for d.\n' | b'5\n' | b'Let k(p) = p**2 - 3*p - 2. Let w be k(4). Suppose 2*g = -y - 3*g - 13, 0 = -2*y - 5*g - 11. Solve -5*m + 25 = 4*d, d - 5 = -y*m + w for d.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((w**0)**(-12))**(-10/9) assuming w is positive.\n' | b'1\n' | b'Simplify ((w**0)**(-12))**(-10/9) assuming w is positive.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 2 z when two letters picked without replacement from {u: 6, z: 12}?\n' | b'22/51\n' | b'What is prob of picking 2 z when two letters picked without replacement from {u: 6, z: 12}?\n' | b'22/51\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 3, k: 11, j: 3, l: 3}. Give prob of picking 1 x and 2 k.\n' | b'11/76\n' | b'Three letters picked without replacement from {x: 3, k: 11, j: 3, l: 3}. Give prob of picking 1 x and 2 k.\n' | b'11/76\n' | deepmind/math_dataset |
b'Simplify ((n*n**(1/7)*n/((n/(n/(n/(((n/n**(5/4))/n)/n))))/n)*n)/(n**18/(n**(-1/5)/n)))**(-6) assuming n is positive.\n' | b'n**(7689/70)\n' | b'Simplify ((n*n**(1/7)*n/((n/(n/(n/(((n/n**(5/4))/n)/n))))/n)*n)/(n**18/(n**(-1/5)/n)))**(-6) assuming n is positive.\n' | b'n**(7689/70)\n' | deepmind/math_dataset |
b'What is prob of sequence lk when two letters picked without replacement from klk?\n' | b'1/3\n' | b'What is prob of sequence lk when two letters picked without replacement from klk?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let q(z) = -3*z - 1. Suppose 3*h + 2*k + 3 = -1, -4 = h + 2*k. Suppose 0 = -5*s - h*s + 55. Suppose 0 = 3*n - a + s, 4*a = 2*n + 3*a + 8. Give q(n).\n' | b'8\n' | b'Let q(z) = -3*z - 1. Suppose 3*h + 2*k + 3 = -1, -4 = h + 2*k. Suppose 0 = -5*s - h*s + 55. Suppose 0 = 3*n - a + s, 4*a = 2*n + 3*a + 8. Give q(n).\n' | b'8\n' | deepmind/math_dataset |
b'Simplify ((m*m*m*m*m**(-1/2))/m)**(-4/3)*m*(m**(5/4)*m)/m*m**(-8/7) assuming m is positive.\n' | b'm**(-187/84)\n' | b'Simplify ((m*m*m*m*m**(-1/2))/m)**(-4/3)*m*(m**(5/4)*m)/m*m**(-8/7) assuming m is positive.\n' | b'm**(-187/84)\n' | deepmind/math_dataset |
b'What is the second derivative of 6*t + 8*t**2 + 2*t**2 + 14*t - 2*t**2 wrt t?\n' | b'16\n' | b'What is the second derivative of 6*t + 8*t**2 + 2*t**2 + 14*t - 2*t**2 wrt t?\n' | b'16\n' | deepmind/math_dataset |
b'Suppose -f + 3*f = 3*v + 185, -f - v = -85. Let y = f + -85. What is the derivative of -7 - 7*w + y*w + 14*w wrt w?\n' | b'10\n' | b'Suppose -f + 3*f = 3*v + 185, -f - v = -85. Let y = f + -85. What is the derivative of -7 - 7*w + y*w + 14*w wrt w?\n' | b'10\n' | deepmind/math_dataset |
b'Simplify ((m/(m*m/m**(-3/14)*m))/m*m*m/(m**(1/21)*m)*(m/((m*m/(m*m/(m/(m*m/(m**(-1/12)*m*m)))))/m))/(m*m*m/m**(-2/17)*m))**(-33) assuming m is positive.\n' | b'm**(83193/476)\n' | b'Simplify ((m/(m*m/m**(-3/14)*m))/m*m*m/(m**(1/21)*m)*(m/((m*m/(m*m/(m/(m*m/(m**(-1/12)*m*m)))))/m))/(m*m*m/m**(-2/17)*m))**(-33) assuming m is positive.\n' | b'm**(83193/476)\n' | deepmind/math_dataset |
b'Simplify ((((t/(t*t**(-18)*t)*t)/t)/t**(-3/2))**(-3/8))**22 assuming t is positive.\n' | b't**(-1221/8)\n' | b'Simplify ((((t/(t*t**(-18)*t)*t)/t)/t**(-3/2))**(-3/8))**22 assuming t is positive.\n' | b't**(-1221/8)\n' | deepmind/math_dataset |
b'Simplify (x**0)**(-49)*x**10*x**(-8) assuming x is positive.\n' | b'x**2\n' | b'Simplify (x**0)**(-49)*x**10*x**(-8) assuming x is positive.\n' | b'x**2\n' | deepmind/math_dataset |
b'Simplify (s**(-12)*s*s**0*(s/s**(-14))**15)**(-12/13) assuming s is positive.\n' | b's**(-2568/13)\n' | b'Simplify (s**(-12)*s*s**0*(s/s**(-14))**15)**(-12/13) assuming s is positive.\n' | b's**(-2568/13)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 1, w: 1, k: 1, v: 2, z: 2, n: 1}. Give prob of picking 1 v and 1 w.\n' | b'1/14\n' | b'Two letters picked without replacement from {s: 1, w: 1, k: 1, v: 2, z: 2, n: 1}. Give prob of picking 1 v and 1 w.\n' | b'1/14\n' | deepmind/math_dataset |
b'Calculate prob of sequence ggg when three letters picked without replacement from {g: 5, w: 7}.\n' | b'1/22\n' | b'Calculate prob of sequence ggg when three letters picked without replacement from {g: 5, w: 7}.\n' | b'1/22\n' | deepmind/math_dataset |
b'Let w(m) = m**2 + 7*m + 4. Let q be ((-2)/(-6))/(6/(-126)). Let s be w(q). Solve -c + 5*i = 3*i - s, c = 4*i + 6 for c.\n' | b'2\n' | b'Let w(m) = m**2 + 7*m + 4. Let q be ((-2)/(-6))/(6/(-126)). Let s be w(q). Solve -c + 5*i = 3*i - s, c = 4*i + 6 for c.\n' | b'2\n' | deepmind/math_dataset |
b'Let k(i) = -i**4 - 5*i**3 + 5*i**2 + 5*i + 13. Let r(q) = q**4 + q**3 - q**2 - q - 1. Let a(v) = -k(v) - 5*r(v). What is the first derivative of a(m) wrt m?\n' | b'-16*m**3\n' | b'Let k(i) = -i**4 - 5*i**3 + 5*i**2 + 5*i + 13. Let r(q) = q**4 + q**3 - q**2 - q - 1. Let a(v) = -k(v) - 5*r(v). What is the first derivative of a(m) wrt m?\n' | b'-16*m**3\n' | deepmind/math_dataset |
b'Let o = -91 + 96. Suppose 5*k = o*s - 30, 94 = s - 3*k + 86. Solve -u + 23 = s*b, -3*b + b - u = -8 for b.\n' | b'5\n' | b'Let o = -91 + 96. Suppose 5*k = o*s - 30, 94 = s - 3*k + 86. Solve -u + 23 = s*b, -3*b + b - u = -8 for b.\n' | b'5\n' | deepmind/math_dataset |
b'Let t(x) = x**3 + 2*x**2 - 2*x + 1. Let d be t(1). Let f(l) = -4*l + 3. Calculate f(d).\n' | b'-5\n' | b'Let t(x) = x**3 + 2*x**2 - 2*x + 1. Let d be t(1). Let f(l) = -4*l + 3. Calculate f(d).\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((l/((l*l**(1/7)*l)/l)*l*l*l**(4/5)*l)/(l**(-2/7)/l)**(1/31))/((l/((l/(l*l**(-6)))/l))/l**3*(l/l**(-2/3))**(6/13)) assuming l is positive.\n' | b'l**(140054/14105)\n' | b'Simplify ((l/((l*l**(1/7)*l)/l)*l*l*l**(4/5)*l)/(l**(-2/7)/l)**(1/31))/((l/((l/(l*l**(-6)))/l))/l**3*(l/l**(-2/3))**(6/13)) assuming l is positive.\n' | b'l**(140054/14105)\n' | deepmind/math_dataset |
b'Calculate prob of sequence gc when two letters picked without replacement from grgggrcrcgrgg.\n' | b'7/78\n' | b'Calculate prob of sequence gc when two letters picked without replacement from grgggrcrcgrgg.\n' | b'7/78\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 1, s: 2, v: 2, u: 2, t: 1}. Give prob of picking 1 t and 1 u.\n' | b'1/14\n' | b'Two letters picked without replacement from {p: 1, s: 2, v: 2, u: 2, t: 1}. Give prob of picking 1 t and 1 u.\n' | b'1/14\n' | deepmind/math_dataset |
b'Simplify ((v*(v/(v/v**(1/16))*v)/v)**(-8)*v**(1/55)/(v/(v*v**41/v)))**0 assuming v is positive.\n' | b'1\n' | b'Simplify ((v*(v/(v/v**(1/16))*v)/v)**(-8)*v**(1/55)/(v/(v*v**41/v)))**0 assuming v is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 2, w: 1, f: 2, t: 4, p: 3, c: 3}. What is prob of picking 1 t and 2 c?\n' | b'12/455\n' | b'Three letters picked without replacement from {x: 2, w: 1, f: 2, t: 4, p: 3, c: 3}. What is prob of picking 1 t and 2 c?\n' | b'12/455\n' | deepmind/math_dataset |
b'Differentiate 11*k**2 + 2 - 4 - 7*k**2 with respect to k.\n' | b'8*k\n' | b'Differentiate 11*k**2 + 2 - 4 - 7*k**2 with respect to k.\n' | b'8*k\n' | deepmind/math_dataset |
b'Simplify (t*(t*t**3)/t*t)/(((t**(-8)/t)/t)/t)*(t/(t**(-1/7)/t)*t)/t**10 assuming t is positive.\n' | b't**(64/7)\n' | b'Simplify (t*(t*t**3)/t*t)/(((t**(-8)/t)/t)/t)*(t/(t**(-1/7)/t)*t)/t**10 assuming t is positive.\n' | b't**(64/7)\n' | deepmind/math_dataset |
b'Suppose 8*j + 1467 = 139. Let r = -162 - j. Solve -3 = -r*p - 5*d + 23, p = 2*d for p.\n' | b'4\n' | b'Suppose 8*j + 1467 = 139. Let r = -162 - j. Solve -3 = -r*p - 5*d + 23, p = 2*d for p.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 4*b = 4*j - 11 - 45, 5*b + 40 = -j. Let x be 2/b + 58/18. What is the third derivative of -5*u + x*u**5 + 8*u - 3*u - u**2 wrt u?\n' | b'180*u**2\n' | b'Suppose 4*b = 4*j - 11 - 45, 5*b + 40 = -j. Let x be 2/b + 58/18. What is the third derivative of -5*u + x*u**5 + 8*u - 3*u - u**2 wrt u?\n' | b'180*u**2\n' | deepmind/math_dataset |
b'Let x(i) = 4*i**3 + 9*i**2 + 2*i + 2. Let d be x(-2). Solve m + 11 - d = 3*j, 5*j - 5 = 5*m for m.\n' | b'3\n' | b'Let x(i) = 4*i**3 + 9*i**2 + 2*i + 2. Let d be x(-2). Solve m + 11 - d = 3*j, 5*j - 5 = 5*m for m.\n' | b'3\n' | deepmind/math_dataset |
b'Find the third derivative of 4*m**5 - 14*m**2 - 4*m**5 + 12*m**5 wrt m.\n' | b'720*m**2\n' | b'Find the third derivative of 4*m**5 - 14*m**2 - 4*m**5 + 12*m**5 wrt m.\n' | b'720*m**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 o and 3 j when four letters picked without replacement from {j: 9, o: 3}.\n' | b'28/55\n' | b'Calculate prob of picking 1 o and 3 j when four letters picked without replacement from {j: 9, o: 3}.\n' | b'28/55\n' | deepmind/math_dataset |
b'Four letters picked without replacement from bbubu. What is prob of sequence buub?\n' | b'1/10\n' | b'Four letters picked without replacement from bbubu. What is prob of sequence buub?\n' | b'1/10\n' | deepmind/math_dataset |
b'Four letters picked without replacement from mmmltlmmllmmmiim. Give prob of picking 3 m and 1 t.\n' | b'3/65\n' | b'Four letters picked without replacement from mmmltlmmllmmmiim. Give prob of picking 3 m and 1 t.\n' | b'3/65\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jjjjjjjfjjjjj. Give prob of sequence fj.\n' | b'1/13\n' | b'Two letters picked without replacement from jjjjjjjfjjjjj. Give prob of sequence fj.\n' | b'1/13\n' | deepmind/math_dataset |
b'Simplify (i*(i*i*i**(-8/7)*i*i)/i*i/i**(-4/9)*i*i**(-3/4)/i*((i*i**(-7))/i)/i)**35 assuming i is positive.\n' | b'i**(-5605/36)\n' | b'Simplify (i*(i*i*i**(-8/7)*i*i)/i*i/i**(-4/9)*i*i**(-3/4)/i*((i*i**(-7))/i)/i)**35 assuming i is positive.\n' | b'i**(-5605/36)\n' | deepmind/math_dataset |
b'Let z(c) = c**3 + c + 16. Let w be z(0). Find the second derivative of 19 - 28 - 37*i**2 + i + w wrt i.\n' | b'-74\n' | b'Let z(c) = c**3 + c + 16. Let w be z(0). Find the second derivative of 19 - 28 - 37*i**2 + i + w wrt i.\n' | b'-74\n' | deepmind/math_dataset |
b'Calculate prob of sequence kkkk when four letters picked without replacement from kkkkkkk.\n' | b'1\n' | b'Calculate prob of sequence kkkk when four letters picked without replacement from kkkkkkk.\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from errerrrerre. What is prob of picking 2 r and 2 e?\n' | b'21/55\n' | b'Four letters picked without replacement from errerrrerre. What is prob of picking 2 r and 2 e?\n' | b'21/55\n' | deepmind/math_dataset |
b'Let r be 36/8 + (2 - 21/6). Suppose r*k + 2*p + p - 6 = 0, -5*k = p - 22. Let i be (-14)/16 - k/40. Let z(v) = 3*v**2 + 2*v + 1. Determine z(i).\n' | b'2\n' | b'Let r be 36/8 + (2 - 21/6). Suppose r*k + 2*p + p - 6 = 0, -5*k = p - 22. Let i be (-14)/16 - k/40. Let z(v) = 3*v**2 + 2*v + 1. Determine z(i).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (c**1/c**(-6))/(c*c**(2/5)*c)**(-4/13)*(c/c**1)/(c/c**3)*(c*c*c**(-8))/(c*(c*c**(2/11))/c) assuming c is positive.\n' | b'c**(1828/715)\n' | b'Simplify (c**1/c**(-6))/(c*c**(2/5)*c)**(-4/13)*(c/c**1)/(c/c**3)*(c*c*c**(-8))/(c*(c*c**(2/11))/c) assuming c is positive.\n' | b'c**(1828/715)\n' | deepmind/math_dataset |
b'Suppose 50 = 3*h + 7*h. Let a(i) = i**2 - 4*i + 4. Suppose 0 = 6*z - 4*z - 8. Let k be a(z). Solve 0 = -4*g + s - 5, -4*g - h*s = k + 19 for g.\n' | b'-2\n' | b'Suppose 50 = 3*h + 7*h. Let a(i) = i**2 - 4*i + 4. Suppose 0 = 6*z - 4*z - 8. Let k be a(z). Solve 0 = -4*g + s - 5, -4*g - h*s = k + 19 for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 2, a: 1, x: 1, h: 2, t: 1, k: 1}. What is prob of sequence ax?\n' | b'1/56\n' | b'Two letters picked without replacement from {r: 2, a: 1, x: 1, h: 2, t: 1, k: 1}. What is prob of sequence ax?\n' | b'1/56\n' | deepmind/math_dataset |
b'Simplify (b**(-4/9)/b**(2/5))/((b/(b*b/(b*b/(b*b**(1/4))*b)*b))/(b/b**(-3/2)))*(b**2)**39*(b**(-1)*b)**(-8) assuming b is positive.\n' | b'b**(14383/180)\n' | b'Simplify (b**(-4/9)/b**(2/5))/((b/(b*b/(b*b/(b*b**(1/4))*b)*b))/(b/b**(-3/2)))*(b**2)**39*(b**(-1)*b)**(-8) assuming b is positive.\n' | b'b**(14383/180)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 s when two letters picked without replacement from {s: 3, o: 4, y: 2}.\n' | b'1/12\n' | b'Calculate prob of picking 2 s when two letters picked without replacement from {s: 3, o: 4, y: 2}.\n' | b'1/12\n' | deepmind/math_dataset |
b'Let a(b) be the third derivative of -b**6/120 + b**5/12 + 5*b**4/24 - 5*b**3/6 + 40*b**2 + b. What is a(6)?\n' | b'-11\n' | b'Let a(b) be the third derivative of -b**6/120 + b**5/12 + 5*b**4/24 - 5*b**3/6 + 40*b**2 + b. What is a(6)?\n' | b'-11\n' | deepmind/math_dataset |
b'Simplify ((y*y/(y**(-3)*y)*y)/y)/y*y**11*y**7/(y*y**0) assuming y is positive.\n' | b'y**20\n' | b'Simplify ((y*y/(y**(-3)*y)*y)/y)/y*y**11*y**7/(y*y**0) assuming y is positive.\n' | b'y**20\n' | deepmind/math_dataset |
b'Suppose -54 + 34 = -2*h + p, -4*h - 5*p = -54. Solve -4*s = -t - 25, h*s = 7*s + 20 for t.\n' | b'-5\n' | b'Suppose -54 + 34 = -2*h + p, -4*h - 5*p = -54. Solve -4*s = -t - 25, h*s = 7*s + 20 for t.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 2*f = 3*x - 0 - 11, -f = x + 3. Solve -4*h = -2*u - 2, -34*u + x = -4*h - 35*u for h.\n' | b'0\n' | b'Suppose 2*f = 3*x - 0 - 11, -f = x + 3. Solve -4*h = -2*u - 2, -34*u + x = -4*h - 35*u for h.\n' | b'0\n' | deepmind/math_dataset |
b'Let a(i) be the second derivative of -19/6*i**3 + 47/2*i**2 + 0 - 88*i. Differentiate a(o) wrt o.\n' | b'-19\n' | b'Let a(i) be the second derivative of -19/6*i**3 + 47/2*i**2 + 0 - 88*i. Differentiate a(o) wrt o.\n' | b'-19\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 z, 1 e, and 1 t when three letters picked without replacement from mmmmmmmmmmetesmzm.\n' | b'1/340\n' | b'Calculate prob of picking 1 z, 1 e, and 1 t when three letters picked without replacement from mmmmmmmmmmetesmzm.\n' | b'1/340\n' | deepmind/math_dataset |
b'What is prob of picking 1 o, 1 c, and 1 k when three letters picked without replacement from {c: 1, o: 2, f: 1, x: 1, k: 2}?\n' | b'4/35\n' | b'What is prob of picking 1 o, 1 c, and 1 k when three letters picked without replacement from {c: 1, o: 2, f: 1, x: 1, k: 2}?\n' | b'4/35\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 h when three letters picked without replacement from hhhhhh.\n' | b'1\n' | b'Calculate prob of picking 3 h when three letters picked without replacement from hhhhhh.\n' | b'1\n' | deepmind/math_dataset |
b'Let c be 0/(3*(-4)/(-12)). Suppose c = 5*b + 5*u - 2*u - 13, b - 4*u = -2. Solve 18 - b = -4*q + 4*p, 3*q - p = -14 for q.\n' | b'-5\n' | b'Let c be 0/(3*(-4)/(-12)). Suppose c = 5*b + 5*u - 2*u - 13, b - 4*u = -2. Solve 18 - b = -4*q + 4*p, 3*q - p = -14 for q.\n' | b'-5\n' | deepmind/math_dataset |
b'Let k(x) = -4*x + 4. Suppose -4*g = -5*r + 18, -4*r + 2*g + 11 = -1. Let t be 52/8 - r/4. Suppose -4*z - 6 = -t*z. Give k(z).\n' | b'-8\n' | b'Let k(x) = -4*x + 4. Suppose -4*g = -5*r + 18, -4*r + 2*g + 11 = -1. Let t be 52/8 - r/4. Suppose -4*z - 6 = -t*z. Give k(z).\n' | b'-8\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ulululuull. Give prob of picking 2 u and 2 l.\n' | b'10/21\n' | b'Four letters picked without replacement from ulululuull. Give prob of picking 2 u and 2 l.\n' | b'10/21\n' | deepmind/math_dataset |
b'Let c(f) = f**3 - 3*f**2 - 2*f. Let t(h) = h**3 - 4*h**2 - h. Let w(b) = -2*c(b) + 3*t(b). Determine w(6).\n' | b'6\n' | b'Let c(f) = f**3 - 3*f**2 - 2*f. Let t(h) = h**3 - 4*h**2 - h. Let w(b) = -2*c(b) + 3*t(b). Determine w(6).\n' | b'6\n' | deepmind/math_dataset |
b'What is prob of picking 1 p and 1 a when two letters picked without replacement from {p: 9, a: 9}?\n' | b'9/17\n' | b'What is prob of picking 1 p and 1 a when two letters picked without replacement from {p: 9, a: 9}?\n' | b'9/17\n' | deepmind/math_dataset |
b'Let y(r) = 2 + 1 + 2*r + 0*r. Suppose -3*f - h + 52 - 39 = 0, -f + 4*h = -26. Give y(f).\n' | b'15\n' | b'Let y(r) = 2 + 1 + 2*r + 0*r. Suppose -3*f - h + 52 - 39 = 0, -f + 4*h = -26. Give y(f).\n' | b'15\n' | deepmind/math_dataset |
b'Simplify ((h/(h**(-1)/h))/(h/h**1))/((h/h**1)/h)**(-1/5)*(h**(-2/5)/(h**(-2/13)/h))/((h/(h/h**4))/(h*h**(-1/3))) assuming h is positive.\n' | b'h**(43/195)\n' | b'Simplify ((h/(h**(-1)/h))/(h/h**1))/((h/h**1)/h)**(-1/5)*(h**(-2/5)/(h**(-2/13)/h))/((h/(h/h**4))/(h*h**(-1/3))) assuming h is positive.\n' | b'h**(43/195)\n' | deepmind/math_dataset |
b'Let f be 1/(-3 + -5) - (-75)/24. Suppose -3*i + 2*i = 4*l - 6, 0 = -4*l + i + 10. Solve -f*d + 8 = -2*t, -4*d = t - l*d - 3 for t.\n' | b'-1\n' | b'Let f be 1/(-3 + -5) - (-75)/24. Suppose -3*i + 2*i = 4*l - 6, 0 = -4*l + i + 10. Solve -f*d + 8 = -2*t, -4*d = t - l*d - 3 for t.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (((x**(-16)/x)/x)/(x*x**16*x))**42/(x**8/x*x*x*((x/(x*x/x**(-6/7))*x)/x)/x)**(4/9) assuming x is positive.\n' | b'x**(-95428/63)\n' | b'Simplify (((x**(-16)/x)/x)/(x*x**16*x))**42/(x**8/x*x*x*((x/(x*x/x**(-6/7))*x)/x)/x)**(4/9) assuming x is positive.\n' | b'x**(-95428/63)\n' | deepmind/math_dataset |
b'Simplify ((a**(2/7)*a**(-8))/((a/a**0*a)/a)**(-7))**(-25) assuming a is positive.\n' | b'a**(125/7)\n' | b'Simplify ((a**(2/7)*a**(-8))/((a/a**0*a)/a)**(-7))**(-25) assuming a is positive.\n' | b'a**(125/7)\n' | deepmind/math_dataset |
b'Suppose -4*u + 9 = -35. Let s = -8 + u. What is the third derivative of 9*d**3 + 11*d**3 - 7*d**2 - 5*d**s wrt d?\n' | b'90\n' | b'Suppose -4*u + 9 = -35. Let s = -8 + u. What is the third derivative of 9*d**3 + 11*d**3 - 7*d**2 - 5*d**s wrt d?\n' | b'90\n' | deepmind/math_dataset |
b'Simplify ((d/(d*d**6))/d*d)**2 assuming d is positive.\n' | b'd**(-12)\n' | b'Simplify ((d/(d*d**6))/d*d)**2 assuming d is positive.\n' | b'd**(-12)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 2, m: 3, f: 1, s: 6}. Give prob of sequence pm.\n' | b'1/22\n' | b'Two letters picked without replacement from {p: 2, m: 3, f: 1, s: 6}. Give prob of sequence pm.\n' | b'1/22\n' | deepmind/math_dataset |
b'Simplify ((y*y**(-1/12)*y**(10/7)*y/(y*((y*y**(-5/6))/y)/y)*y*(y*y**(-12))/y)**(-3/8))**(-18) assuming y is positive.\n' | b'y**(-5157/112)\n' | b'Simplify ((y*y**(-1/12)*y**(10/7)*y/(y*((y*y**(-5/6))/y)/y)*y*(y*y**(-12))/y)**(-3/8))**(-18) assuming y is positive.\n' | b'y**(-5157/112)\n' | deepmind/math_dataset |
b'Let a = 5 + 6. Suppose 2*g - 4*u - a = g, 0 = 2*g + u + 5. Let o be 4 - 3 - (3 + 0)*g. Solve 3*r = 2*q + 19, -o*q + 4*r - r - 23 = 0 for q.\n' | b'-2\n' | b'Let a = 5 + 6. Suppose 2*g - 4*u - a = g, 0 = 2*g + u + 5. Let o be 4 - 3 - (3 + 0)*g. Solve 3*r = 2*q + 19, -o*q + 4*r - r - 23 = 0 for q.\n' | b'-2\n' | deepmind/math_dataset |
b'Let x(y) = -y**3 - 60*y**2 + y + 65. Let w be x(-60). Solve t + 0*m - 4 = m, 0 = -w*m for t.\n' | b'4\n' | b'Let x(y) = -y**3 - 60*y**2 + y + 65. Let w be x(-60). Solve t + 0*m - 4 = m, 0 = -w*m for t.\n' | b'4\n' | deepmind/math_dataset |
b'Let s be (-4)/1 - -3 - -3. Suppose s*v = -v + 9. Solve 0 = 5*n + 2*c + v, 4*n + n - 2*c = 13 for n.\n' | b'1\n' | b'Let s be (-4)/1 - -3 - -3. Suppose s*v = -v + 9. Solve 0 = 5*n + 2*c + v, 4*n + n - 2*c = 13 for n.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 1 x when two letters picked without replacement from uxoxfxox?\n' | b'1/7\n' | b'What is prob of picking 1 u and 1 x when two letters picked without replacement from uxoxfxox?\n' | b'1/7\n' | deepmind/math_dataset |
b'Simplify ((i**(9/5)*i*i)/i*i**4)**17 assuming i is positive.\n' | b'i**(578/5)\n' | b'Simplify ((i**(9/5)*i*i)/i*i**4)**17 assuming i is positive.\n' | b'i**(578/5)\n' | deepmind/math_dataset |
b'Let o(w) = -353 - 351 + 703. Let v(l) = -l**2 + 4*l - 2. Let d(x) = -4*o(x) - v(x). Give d(4).\n' | b'6\n' | b'Let o(w) = -353 - 351 + 703. Let v(l) = -l**2 + 4*l - 2. Let d(x) = -4*o(x) - v(x). Give d(4).\n' | b'6\n' | deepmind/math_dataset |
b'What is prob of sequence sk when two letters picked without replacement from {j: 2, s: 3, t: 1, e: 2, k: 1, u: 3}?\n' | b'1/44\n' | b'What is prob of sequence sk when two letters picked without replacement from {j: 2, s: 3, t: 1, e: 2, k: 1, u: 3}?\n' | b'1/44\n' | deepmind/math_dataset |
b'Simplify g*g**(2/37)*g*g**(-6)*g assuming g is positive.\n' | b'g**(-109/37)\n' | b'Simplify g*g**(2/37)*g*g**(-6)*g assuming g is positive.\n' | b'g**(-109/37)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jcjmjjcjmjjmm. Give prob of picking 2 m and 1 c.\n' | b'6/143\n' | b'Three letters picked without replacement from jcjmjjcjmjjmm. Give prob of picking 2 m and 1 c.\n' | b'6/143\n' | deepmind/math_dataset |
b'Let h be (27/(-2))/9*-74. Suppose h = 5*d + 11. Find the second derivative of 29*v**5 + 25*v + 2*v**4 - d*v**5 - 2*v**4 wrt v.\n' | b'180*v**3\n' | b'Let h be (27/(-2))/9*-74. Suppose h = 5*d + 11. Find the second derivative of 29*v**5 + 25*v + 2*v**4 - d*v**5 - 2*v**4 wrt v.\n' | b'180*v**3\n' | deepmind/math_dataset |
b'Let u be (27/30)/((-15)/(-150)). Let q(w) = -w + 28. What is q(u)?\n' | b'19\n' | b'Let u be (27/30)/((-15)/(-150)). Let q(w) = -w + 28. What is q(u)?\n' | b'19\n' | deepmind/math_dataset |
b'Suppose -s + 77 = 5*f - 0*f, -3*s = -2*f + 41. Let a(v) = -38 - 31*v + 20*v + f*v. Let j be a(9). Solve -3*u - g = 6, -u = -0*u + 2*g + j for u.\n' | b'-1\n' | b'Suppose -s + 77 = 5*f - 0*f, -3*s = -2*f + 41. Let a(v) = -38 - 31*v + 20*v + f*v. Let j be a(9). Solve -3*u - g = 6, -u = -0*u + 2*g + j for u.\n' | b'-1\n' | deepmind/math_dataset |
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