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 p be 2/(-5) + (-24)/(-10). What is the third derivative of 3*a**3 + 5*a**2 + a**3 - 2*a**p - 5*a**3 wrt a?\n' | b'-6\n' | b'Let p be 2/(-5) + (-24)/(-10). What is the third derivative of 3*a**3 + 5*a**2 + a**3 - 2*a**p - 5*a**3 wrt a?\n' | b'-6\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k and 2 y when three letters picked without replacement from kyyy.\n' | b'3/4\n' | b'Calculate prob of picking 1 k and 2 y when three letters picked without replacement from kyyy.\n' | b'3/4\n' | deepmind/math_dataset |
b'Let i(f) = 2*f - 2. Let v be (0 - -2) + 3 - -3. What is i(v)?\n' | b'14\n' | b'Let i(f) = 2*f - 2. Let v be (0 - -2) + 3 - -3. What is i(v)?\n' | b'14\n' | deepmind/math_dataset |
b'What is prob of sequence tt when two letters picked without replacement from zvtthtzthvhtrzv?\n' | b'2/21\n' | b'What is prob of sequence tt when two letters picked without replacement from zvtthtzthvhtrzv?\n' | b'2/21\n' | deepmind/math_dataset |
b'Let d = 3 + -1. Find the first derivative of d + 3*r + 0*r - 2*r + 1 wrt r.\n' | b'1\n' | b'Let d = 3 + -1. Find the first derivative of d + 3*r + 0*r - 2*r + 1 wrt r.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence tyt when three letters picked without replacement from {z: 3, t: 5, y: 8}?\n' | b'1/21\n' | b'What is prob of sequence tyt when three letters picked without replacement from {z: 3, t: 5, y: 8}?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let m(u) = u**3 + 2*u**2 + 5*u + 2. Let b be m(-3). Let f be (-81)/4 - (-53)/212. Let j = f - b. Solve -2*y + 4*z - 12 = 0, -2*y - j*z - 16 = -7*z for y.\n' | b'2\n' | b'Let m(u) = u**3 + 2*u**2 + 5*u + 2. Let b be m(-3). Let f be (-81)/4 - (-53)/212. Let j = f - b. Solve -2*y + 4*z - 12 = 0, -2*y - j*z - 16 = -7*z for y.\n' | b'2\n' | deepmind/math_dataset |
b'Find the third derivative of -1621*m**3 - 1 + 407*m**2 + 1350*m**3 + 1 wrt m.\n' | b'-1626\n' | b'Find the third derivative of -1621*m**3 - 1 + 407*m**2 + 1350*m**3 + 1 wrt m.\n' | b'-1626\n' | deepmind/math_dataset |
b'What is prob of picking 1 i and 1 r when two letters picked without replacement from rridrrlci?\n' | b'2/9\n' | b'What is prob of picking 1 i and 1 r when two letters picked without replacement from rridrrlci?\n' | b'2/9\n' | deepmind/math_dataset |
b'Simplify ((q**(-3))**10*((q*q*q**(-2)/q*q*q*q)/q)**(-23))**22 assuming q is positive.\n' | b'q**(-1166)\n' | b'Simplify ((q**(-3))**10*((q*q*q**(-2)/q*q*q*q)/q)**(-23))**22 assuming q is positive.\n' | b'q**(-1166)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from aoodenac. What is prob of picking 2 d and 1 o?\n' | b'0\n' | b'Three letters picked without replacement from aoodenac. What is prob of picking 2 d and 1 o?\n' | b'0\n' | deepmind/math_dataset |
b'Let i(s) = -s**2 - 84*s + 263. Let n be i(3). Solve 2*o + 2 = -n*u + 10, 7 = -2*o + u for o.\n' | b'-1\n' | b'Let i(s) = -s**2 - 84*s + 263. Let n be i(3). Solve 2*o + 2 = -n*u + 10, 7 = -2*o + u for o.\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 1, z: 2, x: 7, q: 4}. What is prob of sequence zqq?\n' | b'1/91\n' | b'Three letters picked without replacement from {t: 1, z: 2, x: 7, q: 4}. What is prob of sequence zqq?\n' | b'1/91\n' | deepmind/math_dataset |
b'Simplify (f**2/f**(-4/7))**(-41)*(f**6*f*f*f/((f/f**(-3/2))/f)*f)/(f**(-1))**(-35/2) assuming f is positive.\n' | b'f**(-801/7)\n' | b'Simplify (f**2/f**(-4/7))**(-41)*(f**6*f*f*f/((f/f**(-3/2))/f)*f)/(f**(-1))**(-35/2) assuming f is positive.\n' | b'f**(-801/7)\n' | deepmind/math_dataset |
b'Let f(a) be the third derivative of -149*a**4/4 + 187*a**3/3 - 246*a**2. Find the first derivative of f(w) wrt w.\n' | b'-894\n' | b'Let f(a) be the third derivative of -149*a**4/4 + 187*a**3/3 - 246*a**2. Find the first derivative of f(w) wrt w.\n' | b'-894\n' | deepmind/math_dataset |
b'Calculate prob of sequence wccc when four letters picked without replacement from {c: 16, w: 2}.\n' | b'14/153\n' | b'Calculate prob of sequence wccc when four letters picked without replacement from {c: 16, w: 2}.\n' | b'14/153\n' | deepmind/math_dataset |
b'Simplify (((k**(1/6)/k)**(-25))**(-16/7))**44 assuming k is positive.\n' | b'k**(-44000/21)\n' | b'Simplify (((k**(1/6)/k)**(-25))**(-16/7))**44 assuming k is positive.\n' | b'k**(-44000/21)\n' | deepmind/math_dataset |
b'Let p(y) = 9*y - 313. Let d be p(35). Let x be (-68)/(-10) - 1/(-5). Solve 5*r = -d*f - x - 0, -5*f - 8 = 3*r for r.\n' | b'-1\n' | b'Let p(y) = 9*y - 313. Let d be p(35). Let x be (-68)/(-10) - 1/(-5). Solve 5*r = -d*f - x - 0, -5*f - 8 = 3*r for r.\n' | b'-1\n' | deepmind/math_dataset |
b'Let j(y) = y**3 - 4*y + 3. Let i be j(2). Let v(x) = -x**3 + 7*x**2 + 1. Let z be v(7). Let m = z - -3. Solve m*p + 12 = 0, i*p + 6 + 0 = -h for h.\n' | b'3\n' | b'Let j(y) = y**3 - 4*y + 3. Let i be j(2). Let v(x) = -x**3 + 7*x**2 + 1. Let z be v(7). Let m = z - -3. Solve m*p + 12 = 0, i*p + 6 + 0 = -h for h.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((u/(u/(u**0*u)))/u)**(-11/4)/(((u*u**(3/10))/u)/u)**44 assuming u is positive.\n' | b'u**(154/5)\n' | b'Simplify ((u/(u/(u**0*u)))/u)**(-11/4)/(((u*u**(3/10))/u)/u)**44 assuming u is positive.\n' | b'u**(154/5)\n' | deepmind/math_dataset |
b'What is prob of sequence kkoe when four letters picked without replacement from {s: 2, e: 1, i: 4, o: 2, m: 1, k: 2}?\n' | b'1/2970\n' | b'What is prob of sequence kkoe when four letters picked without replacement from {s: 2, e: 1, i: 4, o: 2, m: 1, k: 2}?\n' | b'1/2970\n' | deepmind/math_dataset |
b'Let i(x) be the second derivative of -x**5/20 + 5*x**4/12 - 7*x**3/6 + 9*x**2/2 + 3*x - 6. Determine i(6).\n' | b'-69\n' | b'Let i(x) be the second derivative of -x**5/20 + 5*x**4/12 - 7*x**3/6 + 9*x**2/2 + 3*x - 6. Determine i(6).\n' | b'-69\n' | deepmind/math_dataset |
b'Suppose -5*g + 2*g + 69 = 0. Let f = g + -19. What is the derivative of 6*p**f + 10 + 9 - 3 + 4*p**4 wrt p?\n' | b'40*p**3\n' | b'Suppose -5*g + 2*g + 69 = 0. Let f = g + -19. What is the derivative of 6*p**f + 10 + 9 - 3 + 4*p**4 wrt p?\n' | b'40*p**3\n' | deepmind/math_dataset |
b'Simplify o*o**(-4/5)/o*o**(6/11) assuming o is positive.\n' | b'o**(-14/55)\n' | b'Simplify o*o**(-4/5)/o*o**(6/11) assuming o is positive.\n' | b'o**(-14/55)\n' | deepmind/math_dataset |
b'Let k = 15 - 4. Suppose 0 = 3*a + 5 - k. Find the third derivative of -18*j**5 + 219*j**3 - 219*j**3 - 19*j**a wrt j.\n' | b'-1080*j**2\n' | b'Let k = 15 - 4. Suppose 0 = 3*a + 5 - k. Find the third derivative of -18*j**5 + 219*j**3 - 219*j**3 - 19*j**a wrt j.\n' | b'-1080*j**2\n' | deepmind/math_dataset |
b'Suppose 4*r = -0*r + 8. Solve -r*j = h - 0*h + 10, 0 = 4*h - 5*j - 12 for h.\n' | b'-2\n' | b'Suppose 4*r = -0*r + 8. Solve -r*j = h - 0*h + 10, 0 = 4*h - 5*j - 12 for h.\n' | b'-2\n' | deepmind/math_dataset |
b'Let k(r) = -2*r + 3. Let y be k(-5). Solve c = -3*q, 4*c - y = q - 0*q for c.\n' | b'3\n' | b'Let k(r) = -2*r + 3. Let y be k(-5). Solve c = -3*q, 4*c - y = q - 0*q for c.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((d*d*d*d**(-6)*d)/d*d**(-2/3)*(d**0)**(2/65))/((d/(d*d/d**(2/7)))**(2/29))**50 assuming d is positive.\n' | b'd**(-733/609)\n' | b'Simplify ((d*d*d*d**(-6)*d)/d*d**(-2/3)*(d**0)**(2/65))/((d/(d*d/d**(2/7)))**(2/29))**50 assuming d is positive.\n' | b'd**(-733/609)\n' | deepmind/math_dataset |
b'Let b(r) = -6*r**2 + 111*r + 60. Let c be b(19). Solve 26 = 5*m - c*v, m - 3 + 5 = -3*v for m.\n' | b'4\n' | b'Let b(r) = -6*r**2 + 111*r + 60. Let c be b(19). Solve 26 = 5*m - c*v, m - 3 + 5 = -3*v for m.\n' | b'4\n' | deepmind/math_dataset |
b'Let v(y) = -y**3 - 4*y**2 + 3*y + 2. Let q be v(-5). Suppose 0 = -2*c - 2*x + q + 12, 5*x = -c + 32. Solve 4*h + 0*n + n + 13 = 0, 4*h = 3*n + c for h.\n' | b'-2\n' | b'Let v(y) = -y**3 - 4*y**2 + 3*y + 2. Let q be v(-5). Suppose 0 = -2*c - 2*x + q + 12, 5*x = -c + 32. Solve 4*h + 0*n + n + 13 = 0, 4*h = 3*n + c for h.\n' | b'-2\n' | deepmind/math_dataset |
b'Let h(v) be the first derivative of -v**3/3 + 7*v**2/2 - 10*v - 1. Let b(g) = -13*g + 70. Let i be b(11). Let o = i - -80. Determine h(o).\n' | b'-10\n' | b'Let h(v) be the first derivative of -v**3/3 + 7*v**2/2 - 10*v - 1. Let b(g) = -13*g + 70. Let i be b(11). Let o = i - -80. Determine h(o).\n' | b'-10\n' | deepmind/math_dataset |
b'Suppose -3*o = 3 - 12. Solve -5*t = -o*p + p + 10, -4*p = 0 for t.\n' | b'-2\n' | b'Suppose -3*o = 3 - 12. Solve -5*t = -o*p + p + 10, -4*p = 0 for t.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((q*(q*q*(q/q**(-12))/q)/q)/q**(-7))/(q**0/(q/(q**(-1)/q))) assuming q is positive.\n' | b'q**24\n' | b'Simplify ((q*(q*q*(q/q**(-12))/q)/q)/q**(-7))/(q**0/(q/(q**(-1)/q))) assuming q is positive.\n' | b'q**24\n' | deepmind/math_dataset |
b'Differentiate 778 + 184*c - 129*c + 467 + 775*c wrt c.\n' | b'830\n' | b'Differentiate 778 + 184*c - 129*c + 467 + 775*c wrt c.\n' | b'830\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 1, o: 11, p: 2, h: 1, t: 3}. Give prob of sequence pyh.\n' | b'1/2448\n' | b'Three letters picked without replacement from {y: 1, o: 11, p: 2, h: 1, t: 3}. Give prob of sequence pyh.\n' | b'1/2448\n' | deepmind/math_dataset |
b'Let v(l) be the third derivative of 0*l**5 + 0*l**4 + 0*l + 3*l**2 + 0 - 1/60*l**6 + 3/2*l**3. Differentiate v(d) with respect to d.\n' | b'-6*d**2\n' | b'Let v(l) be the third derivative of 0*l**5 + 0*l**4 + 0*l + 3*l**2 + 0 - 1/60*l**6 + 3/2*l**3. Differentiate v(d) with respect to d.\n' | b'-6*d**2\n' | deepmind/math_dataset |
b'Let n(h) = h**3 - 29*h**2 + 1. Let q be n(29). Let v be (4/6)/((-26)/30 + q). Solve v*p - 4*b = -6 - 3, 0 = -5*p - 2*b - 33 for p.\n' | b'-5\n' | b'Let n(h) = h**3 - 29*h**2 + 1. Let q be n(29). Let v be (4/6)/((-26)/30 + q). Solve v*p - 4*b = -6 - 3, 0 = -5*p - 2*b - 33 for p.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of sequence owrl when four letters picked without replacement from olfwllr.\n' | b'1/280\n' | b'Calculate prob of sequence owrl when four letters picked without replacement from olfwllr.\n' | b'1/280\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {e: 4, x: 2}. Give prob of picking 3 e and 1 x.\n' | b'8/15\n' | b'Four letters picked without replacement from {e: 4, x: 2}. Give prob of picking 3 e and 1 x.\n' | b'8/15\n' | deepmind/math_dataset |
b'Let h(j) = 2*j - 1. Suppose 0 = -5*i + 9 + 1. Let b(s) = -7*s + 3. Let q(m) = i*b(m) + 9*h(m). Differentiate q(c) wrt c.\n' | b'4\n' | b'Let h(j) = 2*j - 1. Suppose 0 = -5*i + 9 + 1. Let b(s) = -7*s + 3. Let q(m) = i*b(m) + 9*h(m). Differentiate q(c) wrt c.\n' | b'4\n' | deepmind/math_dataset |
b'Let t(q) be the second derivative of -q**6/72 + 2*q**4 + 23*q**3/3 + 19*q. Let v(l) be the second derivative of t(l). Differentiate v(b) wrt b.\n' | b'-10*b\n' | b'Let t(q) be the second derivative of -q**6/72 + 2*q**4 + 23*q**3/3 + 19*q. Let v(l) be the second derivative of t(l). Differentiate v(b) wrt b.\n' | b'-10*b\n' | deepmind/math_dataset |
b'What is prob of sequence ext when three letters picked without replacement from {a: 2, t: 1, e: 1, x: 1}?\n' | b'1/60\n' | b'What is prob of sequence ext when three letters picked without replacement from {a: 2, t: 1, e: 1, x: 1}?\n' | b'1/60\n' | deepmind/math_dataset |
b'Simplify (((c/(((c/(c*c*(c*c**(-7/2))/c))/c)/c*c))/c*c**(-4))**11)**(-34) assuming c is positive.\n' | b'c**2057\n' | b'Simplify (((c/(((c/(c*c*(c*c**(-7/2))/c))/c)/c*c))/c*c**(-4))**11)**(-34) assuming c is positive.\n' | b'c**2057\n' | deepmind/math_dataset |
b'Let w(j) = 7*j + 2. Let a be w(1). Let s(o) = o**3 + 9*o**2 - 10*o + 13. Let v(n) = 2*n**3 - n**2 - n. Let u(p) = -s(p) + v(p). Determine u(a).\n' | b'-13\n' | b'Let w(j) = 7*j + 2. Let a be w(1). Let s(o) = o**3 + 9*o**2 - 10*o + 13. Let v(n) = 2*n**3 - n**2 - n. Let u(p) = -s(p) + v(p). Determine u(a).\n' | b'-13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qqwpqpkqqqqqwfqqpp. What is prob of sequence qk?\n' | b'5/153\n' | b'Two letters picked without replacement from qqwpqpkqqqqqwfqqpp. What is prob of sequence qk?\n' | b'5/153\n' | deepmind/math_dataset |
b'Two letters picked without replacement from saaagga. What is prob of picking 1 s and 1 g?\n' | b'2/21\n' | b'Two letters picked without replacement from saaagga. What is prob of picking 1 s and 1 g?\n' | b'2/21\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, i: 1, k: 1, n: 4}.\n' | b'1/28\n' | b'Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, i: 1, k: 1, n: 4}.\n' | b'1/28\n' | deepmind/math_dataset |
b'Let d = -951 + 954. Let j = 8 + 2. What is the derivative of j + d - 3 - 1 + 17*a**4 wrt a?\n' | b'68*a**3\n' | b'Let d = -951 + 954. Let j = 8 + 2. What is the derivative of j + d - 3 - 1 + 17*a**4 wrt a?\n' | b'68*a**3\n' | deepmind/math_dataset |
b'Suppose 4*b - 52 = 4*l, -5*b + 74 = -3*l + 27. Let a(w) = 1 + 0*w + 2*w - w. Calculate a(l).\n' | b'-8\n' | b'Suppose 4*b - 52 = 4*l, -5*b + 74 = -3*l + 27. Let a(w) = 1 + 0*w + 2*w - w. Calculate a(l).\n' | b'-8\n' | deepmind/math_dataset |
b'Simplify (f**5/(f*f**(2/9)))/(f**(-3/4)*f**2) assuming f is positive.\n' | b'f**(91/36)\n' | b'Simplify (f**5/(f*f**(2/9)))/(f**(-3/4)*f**2) assuming f is positive.\n' | b'f**(91/36)\n' | deepmind/math_dataset |
b'Simplify (l/(l**(1/6)*l)*l/l**(1/2))/(l**(2/9)/(l*(l**(-8)/l)/l)) assuming l is positive.\n' | b'l**(-80/9)\n' | b'Simplify (l/(l**(1/6)*l)*l/l**(1/2))/(l**(2/9)/(l*(l**(-8)/l)/l)) assuming l is positive.\n' | b'l**(-80/9)\n' | deepmind/math_dataset |
b'Suppose 10*z - 978 = 112. Find the first derivative of -50*x - 53 - z + 105 wrt x.\n' | b'-50\n' | b'Suppose 10*z - 978 = 112. Find the first derivative of -50*x - 53 - z + 105 wrt x.\n' | b'-50\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 z and 2 v when four letters picked without replacement from vvvzvvzvvvzvvvvv.\n' | b'9/70\n' | b'Calculate prob of picking 2 z and 2 v when four letters picked without replacement from vvvzvvzvvvzvvvvv.\n' | b'9/70\n' | deepmind/math_dataset |
b'Let j(c) be the third derivative of -107*c**7/210 - c**5/15 + c**4/8 - 120*c**2. Find the third derivative of j(d) wrt d.\n' | b'-2568*d\n' | b'Let j(c) be the third derivative of -107*c**7/210 - c**5/15 + c**4/8 - 120*c**2. Find the third derivative of j(d) wrt d.\n' | b'-2568*d\n' | deepmind/math_dataset |
b'What is prob of picking 1 d and 1 v when two letters picked without replacement from {b: 1, d: 1, v: 3, o: 1, c: 5}?\n' | b'3/55\n' | b'What is prob of picking 1 d and 1 v when two letters picked without replacement from {b: 1, d: 1, v: 3, o: 1, c: 5}?\n' | b'3/55\n' | deepmind/math_dataset |
b'Suppose 42 = 5*p - 3*a, 9 = -2*p - 5*a + 1. Suppose -6 = p*r - 7*r. Find the third derivative of 6*c**2 + 4*c**6 + 3*c**2 + 3*c**r - 3*c**6 wrt c.\n' | b'480*c**3\n' | b'Suppose 42 = 5*p - 3*a, 9 = -2*p - 5*a + 1. Suppose -6 = p*r - 7*r. Find the third derivative of 6*c**2 + 4*c**6 + 3*c**2 + 3*c**r - 3*c**6 wrt c.\n' | b'480*c**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence hh when two letters picked without replacement from {h: 2, w: 3, r: 4}.\n' | b'1/36\n' | b'Calculate prob of sequence hh when two letters picked without replacement from {h: 2, w: 3, r: 4}.\n' | b'1/36\n' | deepmind/math_dataset |
b'Simplify (x/(x*x**(2/85)*x)*(x/x**24*x)/x*(x**(1/7))**(3/29))**(-37) assuming x is positive.\n' | b'x**(15328027/17255)\n' | b'Simplify (x/(x*x**(2/85)*x)*(x/x**24*x)/x*(x**(1/7))**(3/29))**(-37) assuming x is positive.\n' | b'x**(15328027/17255)\n' | deepmind/math_dataset |
b'Let g be (-2)/(-7) - 721/(-49). Find the third derivative of 269*i**3 - 129*i**2 - 227*i**3 - 15 + g wrt i.\n' | b'252\n' | b'Let g be (-2)/(-7) - 721/(-49). Find the third derivative of 269*i**3 - 129*i**2 - 227*i**3 - 15 + g wrt i.\n' | b'252\n' | deepmind/math_dataset |
b'Simplify (v/(v*v**(6/7))*v/(v*v/(v*v/(v*v**(1/4)*v*v)))*v)/(v**(2/9))**(-10) assuming v is positive.\n' | b'v**(29/252)\n' | b'Simplify (v/(v*v**(6/7))*v/(v*v/(v*v/(v*v**(1/4)*v*v)))*v)/(v**(2/9))**(-10) assuming v is positive.\n' | b'v**(29/252)\n' | deepmind/math_dataset |
b'Let m(u) be the first derivative of u**4 - 5*u + 4. What is the derivative of m(i) wrt i?\n' | b'12*i**2\n' | b'Let m(u) be the first derivative of u**4 - 5*u + 4. What is the derivative of m(i) wrt i?\n' | b'12*i**2\n' | deepmind/math_dataset |
b'Suppose -11 + 44 = 3*t. Solve -5*v = -0*m + 2*m + t, -2*m - 8 = 4*v for v.\n' | b'-3\n' | b'Suppose -11 + 44 = 3*t. Solve -5*v = -0*m + 2*m + t, -2*m - 8 = 4*v for v.\n' | b'-3\n' | deepmind/math_dataset |
b'Let i(p) be the first derivative of -3*p**3 - 4/3*p**6 + 7 + 0*p**2 + 0*p**5 + 0*p + 0*p**4. Find the third derivative of i(u) wrt u.\n' | b'-480*u**2\n' | b'Let i(p) be the first derivative of -3*p**3 - 4/3*p**6 + 7 + 0*p**2 + 0*p**5 + 0*p + 0*p**4. Find the third derivative of i(u) wrt u.\n' | b'-480*u**2\n' | deepmind/math_dataset |
b'Simplify (i/i**1*i)**(-1/11)/((i*i**(-7))/i**(2/15))*i*i/(i/((i/(i*i*i**5/i))/i))*i*i*i**(1/6)*i**(-4/3)/(i*(i*i**(-3/8))/i) assuming i is positive.\n' | b'i**(1651/1320)\n' | b'Simplify (i/i**1*i)**(-1/11)/((i*i**(-7))/i**(2/15))*i*i/(i/((i/(i*i*i**5/i))/i))*i*i*i**(1/6)*i**(-4/3)/(i*(i*i**(-3/8))/i) assuming i is positive.\n' | b'i**(1651/1320)\n' | deepmind/math_dataset |
b'What is prob of sequence td when two letters picked without replacement from tddhdndddmtdvd?\n' | b'8/91\n' | b'What is prob of sequence td when two letters picked without replacement from tddhdndddmtdvd?\n' | b'8/91\n' | deepmind/math_dataset |
b'Let a = -1 - -6. Suppose 0*s - a*t = s - 25, 2*s = t - 5. Let q(d) = 4*d - 4 + s*d - 3*d. What is q(0)?\n' | b'-4\n' | b'Let a = -1 - -6. Suppose 0*s - a*t = s - 25, 2*s = t - 5. Let q(d) = 4*d - 4 + s*d - 3*d. What is q(0)?\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 i, 2 n, and 1 v when four letters picked without replacement from vnnnvvnvvnnni.\n' | b'21/143\n' | b'Calculate prob of picking 1 i, 2 n, and 1 v when four letters picked without replacement from vnnnvvnvvnnni.\n' | b'21/143\n' | deepmind/math_dataset |
b'Let z(v) = -3 + 2*v - 3*v**2 + 2 + 2. Let p(t) = -t - 3. Let x = 7 - 12. Let h be p(x). Calculate z(h).\n' | b'-7\n' | b'Let z(v) = -3 + 2*v - 3*v**2 + 2 + 2. Let p(t) = -t - 3. Let x = 7 - 12. Let h be p(x). Calculate z(h).\n' | b'-7\n' | deepmind/math_dataset |
b'Let a(q) = -5*q**3 + 3*q**2 - 1. Let d be (-7)/(-2)*(-18)/(-21) - 5. Calculate a(d).\n' | b'51\n' | b'Let a(q) = -5*q**3 + 3*q**2 - 1. Let d be (-7)/(-2)*(-18)/(-21) - 5. Calculate a(d).\n' | b'51\n' | deepmind/math_dataset |
b'What is prob of picking 1 m, 1 t, and 1 z when three letters picked without replacement from mtzzpzztrz?\n' | b'1/12\n' | b'What is prob of picking 1 m, 1 t, and 1 z when three letters picked without replacement from mtzzpzztrz?\n' | b'1/12\n' | deepmind/math_dataset |
b'Let d(f) be the second derivative of -f**7/1260 - f**6/40 + 5*f**4/3 - 13*f. Let b(i) be the third derivative of d(i). Find the second derivative of b(t) wrt t.\n' | b'-4\n' | b'Let d(f) be the second derivative of -f**7/1260 - f**6/40 + 5*f**4/3 - 13*f. Let b(i) be the third derivative of d(i). Find the second derivative of b(t) wrt t.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence cb when two letters picked without replacement from ccccccbhc.\n' | b'7/72\n' | b'Calculate prob of sequence cb when two letters picked without replacement from ccccccbhc.\n' | b'7/72\n' | deepmind/math_dataset |
b'Simplify k/k**(5/2)*k**(-2)*k**(-12)*((k*k/(k*k**(2/3)*k)*k*k)/k*k)/k assuming k is positive.\n' | b'k**(-91/6)\n' | b'Simplify k/k**(5/2)*k**(-2)*k**(-12)*((k*k/(k*k**(2/3)*k)*k*k)/k*k)/k assuming k is positive.\n' | b'k**(-91/6)\n' | deepmind/math_dataset |
b'Simplify (((k/(k/((k*k**(-2))/k)))**(-1/31))**(4/21))**6 assuming k is positive.\n' | b'k**(16/217)\n' | b'Simplify (((k/(k/((k*k**(-2))/k)))**(-1/31))**(4/21))**6 assuming k is positive.\n' | b'k**(16/217)\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 g when three letters picked without replacement from {e: 2, g: 8}.\n' | b'7/15\n' | b'Calculate prob of picking 3 g when three letters picked without replacement from {e: 2, g: 8}.\n' | b'7/15\n' | deepmind/math_dataset |
b'Let x(q) be the second derivative of 2*q**7/3 + 7*q**3/3 - 2*q**2 + 5*q. What is the second derivative of x(k) wrt k?\n' | b'560*k**3\n' | b'Let x(q) be the second derivative of 2*q**7/3 + 7*q**3/3 - 2*q**2 + 5*q. What is the second derivative of x(k) wrt k?\n' | b'560*k**3\n' | deepmind/math_dataset |
b'Suppose 0 = -10*i + 14*i - 12. Differentiate -40*l**3 + 68*l**3 + 20 + 15 + 33*l**i with respect to l.\n' | b'183*l**2\n' | b'Suppose 0 = -10*i + 14*i - 12. Differentiate -40*l**3 + 68*l**3 + 20 + 15 + 33*l**i with respect to l.\n' | b'183*l**2\n' | deepmind/math_dataset |
b'What is prob of sequence pm when two letters picked without replacement from {i: 2, f: 1, m: 2, p: 1}?\n' | b'1/15\n' | b'What is prob of sequence pm when two letters picked without replacement from {i: 2, f: 1, m: 2, p: 1}?\n' | b'1/15\n' | deepmind/math_dataset |
b'What is prob of picking 1 v and 1 f when two letters picked without replacement from {v: 3, f: 2, d: 3, l: 11}?\n' | b'2/57\n' | b'What is prob of picking 1 v and 1 f when two letters picked without replacement from {v: 3, f: 2, d: 3, l: 11}?\n' | b'2/57\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {x: 7, c: 4}. What is prob of picking 1 c and 3 x?\n' | b'14/33\n' | b'Four letters picked without replacement from {x: 7, c: 4}. What is prob of picking 1 c and 3 x?\n' | b'14/33\n' | deepmind/math_dataset |
b'Simplify ((((j**(-1/5))**(-33/5))**(-7))**(-36))**(-4/9) assuming j is positive.\n' | b'j**(-3696/25)\n' | b'Simplify ((((j**(-1/5))**(-33/5))**(-7))**(-36))**(-4/9) assuming j is positive.\n' | b'j**(-3696/25)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gciwg. What is prob of sequence gwi?\n' | b'1/30\n' | b'Three letters picked without replacement from gciwg. What is prob of sequence gwi?\n' | b'1/30\n' | deepmind/math_dataset |
b'Find the second derivative of -20*d**2 + 211 - 20*d - 211 wrt d.\n' | b'-40\n' | b'Find the second derivative of -20*d**2 + 211 - 20*d - 211 wrt d.\n' | b'-40\n' | deepmind/math_dataset |
b'Simplify ((u/(u*u**(-8))*u)/u**(-8)*((u*u**(-13))/u)/u*u/(u/(u/(u**(-3)*u*u)))*u)**(4/3) assuming u is positive.\n' | b'u**8\n' | b'Simplify ((u/(u*u**(-8))*u)/u**(-8)*((u*u**(-13))/u)/u*u/(u/(u/(u**(-3)*u*u)))*u)**(4/3) assuming u is positive.\n' | b'u**8\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r and 1 z when two letters picked without replacement from yryfyfzzyrrzyfyrf.\n' | b'3/34\n' | b'Calculate prob of picking 1 r and 1 z when two letters picked without replacement from yryfyfzzyrrzyfyrf.\n' | b'3/34\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yiissqierssssryrese. Give prob of sequence ee.\n' | b'1/57\n' | b'Two letters picked without replacement from yiissqierssssryrese. Give prob of sequence ee.\n' | b'1/57\n' | deepmind/math_dataset |
b'Let f(j) be the first derivative of j**3/3 + 2*j**2 + 15*j + 15. Let m be f(-5). Let a be (m/12 + -3)*-3. Solve -2*i + 0 - 4 = k, a*i + 4*k = 0 for i.\n' | b'-4\n' | b'Let f(j) be the first derivative of j**3/3 + 2*j**2 + 15*j + 15. Let m be f(-5). Let a be (m/12 + -3)*-3. Solve -2*i + 0 - 4 = k, a*i + 4*k = 0 for i.\n' | b'-4\n' | deepmind/math_dataset |
b'Let h(w) = 19*w - 276. Let c be h(22). Suppose c*p - 136*p - 18 = 0. Solve -4*u = 2*n - 4 + 18, -p*n = 4*u + 13 for u.\n' | b'-4\n' | b'Let h(w) = 19*w - 276. Let c be h(22). Suppose c*p - 136*p - 18 = 0. Solve -4*u = 2*n - 4 + 18, -p*n = 4*u + 13 for u.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from sssssssusssssssuussu. Give prob of picking 1 s and 1 u.\n' | b'32/95\n' | b'Two letters picked without replacement from sssssssusssssssuussu. Give prob of picking 1 s and 1 u.\n' | b'32/95\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 1, n: 4, t: 5}. What is prob of sequence nt?\n' | b'2/9\n' | b'Two letters picked without replacement from {p: 1, n: 4, t: 5}. What is prob of sequence nt?\n' | b'2/9\n' | deepmind/math_dataset |
b'What is prob of sequence ox when two letters picked without replacement from {j: 1, x: 2, o: 2, y: 1, u: 1}?\n' | b'2/21\n' | b'What is prob of sequence ox when two letters picked without replacement from {j: 1, x: 2, o: 2, y: 1, u: 1}?\n' | b'2/21\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ssaasannaaaaassnn. Give prob of picking 1 s, 1 n, and 1 a.\n' | b'4/17\n' | b'Three letters picked without replacement from ssaasannaaaaassnn. Give prob of picking 1 s, 1 n, and 1 a.\n' | b'4/17\n' | deepmind/math_dataset |
b'Let t(o) = o**3 - o + 1. Suppose -7*x = 2*x + 17*x. Suppose -71*i - m + 8 = -68*i, x = -i + 4*m + 7. What is t(i)?\n' | b'25\n' | b'Let t(o) = o**3 - o + 1. Suppose -7*x = 2*x + 17*x. Suppose -71*i - m + 8 = -68*i, x = -i + 4*m + 7. What is t(i)?\n' | b'25\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 p, 2 o, and 1 e when four letters picked without replacement from {p: 8, o: 2, e: 8}.\n' | b'16/765\n' | b'Calculate prob of picking 1 p, 2 o, and 1 e when four letters picked without replacement from {p: 8, o: 2, e: 8}.\n' | b'16/765\n' | deepmind/math_dataset |
b'Calculate prob of sequence ap when two letters picked without replacement from {p: 6, a: 4}.\n' | b'4/15\n' | b'Calculate prob of sequence ap when two letters picked without replacement from {p: 6, a: 4}.\n' | b'4/15\n' | deepmind/math_dataset |
b'Calculate prob of sequence rr when two letters picked without replacement from rprrlxrrtxxrrrxpr.\n' | b'9/34\n' | b'Calculate prob of sequence rr when two letters picked without replacement from rprrlxrrtxxrrrxpr.\n' | b'9/34\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {d: 6, s: 2}. What is prob of picking 4 d?\n' | b'3/14\n' | b'Four letters picked without replacement from {d: 6, s: 2}. What is prob of picking 4 d?\n' | b'3/14\n' | deepmind/math_dataset |
b'Let c = 90 - 88. What is the third derivative of 20*g**5 + 9*g**2 + 0*g**2 - 31*g**5 + 15*g**c wrt g?\n' | b'-660*g**2\n' | b'Let c = 90 - 88. What is the third derivative of 20*g**5 + 9*g**2 + 0*g**2 - 31*g**5 + 15*g**c wrt g?\n' | b'-660*g**2\n' | deepmind/math_dataset |
b'Let c = 42 - 30. Solve -3*k = 4*f - 2*k + c, 5*f - 4*k = -36 for f.\n' | b'-4\n' | b'Let c = 42 - 30. Solve -3*k = 4*f - 2*k + c, 5*f - 4*k = -36 for f.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 2, q: 1, m: 1}. Give prob of picking 1 m and 1 d.\n' | b'1/3\n' | b'Two letters picked without replacement from {d: 2, q: 1, m: 1}. Give prob of picking 1 m and 1 d.\n' | b'1/3\n' | deepmind/math_dataset |
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