question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Calculate prob of picking 2 m and 1 f when three letters picked without replacement from crmmcefx.\n' | b'1/56\n' | b'Calculate prob of picking 2 m and 1 f when three letters picked without replacement from crmmcefx.\n' | b'1/56\n' | deepmind/math_dataset |
b'Let s(z) be the second derivative of z**8/560 - z**4/3 - 17*z**3/6 - 13*z. Let i(a) be the second derivative of s(a). What is the derivative of i(v) wrt v?\n' | b'12*v**3\n' | b'Let s(z) be the second derivative of z**8/560 - z**4/3 - 17*z**3/6 - 13*z. Let i(a) be the second derivative of s(a). What is the derivative of i(v) wrt v?\n' | b'12*v**3\n' | deepmind/math_dataset |
b'Let z(w) = w**3 + 6*w**2 + 4*w + 9. Suppose -1 = -2*h - 13. Determine z(h).\n' | b'-15\n' | b'Let z(w) = w**3 + 6*w**2 + 4*w + 9. Suppose -1 = -2*h - 13. Determine z(h).\n' | b'-15\n' | deepmind/math_dataset |
b'Suppose 1 - 6 = 5*q, 5*q + 15 = 2*n. Solve 0*v - 2*v + 8 = -5*x, 2*v = -n*x - 12 for x.\n' | b'-2\n' | b'Suppose 1 - 6 = 5*q, 5*q + 15 = 2*n. Solve 0*v - 2*v + 8 = -5*x, 2*v = -n*x - 12 for x.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (s/s**(3/11))**(-10/7)/(((s/((s**(-1/2)*s)/s))/s)/((s/s**15)/s)) assuming s is positive.\n' | b's**(-2547/154)\n' | b'Simplify (s/s**(3/11))**(-10/7)/(((s/((s**(-1/2)*s)/s))/s)/((s/s**15)/s)) assuming s is positive.\n' | b's**(-2547/154)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 w and 2 i when three letters picked without replacement from irirwirrr.\n' | b'1/28\n' | b'Calculate prob of picking 1 w and 2 i when three letters picked without replacement from irirwirrr.\n' | b'1/28\n' | deepmind/math_dataset |
b'Let i(j) = -9*j - 2. Suppose 3*b + 1 = 2*b. Let n(r) = r + 1. Let v(l) = b*i(l) - 4*n(l). What is v(2)?\n' | b'8\n' | b'Let i(j) = -9*j - 2. Suppose 3*b + 1 = 2*b. Let n(r) = r + 1. Let v(l) = b*i(l) - 4*n(l). What is v(2)?\n' | b'8\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 3, c: 8, p: 2, e: 1, t: 1, l: 1}. What is prob of sequence ptc?\n' | b'1/210\n' | b'Three letters picked without replacement from {u: 3, c: 8, p: 2, e: 1, t: 1, l: 1}. What is prob of sequence ptc?\n' | b'1/210\n' | deepmind/math_dataset |
b'Let l(d) be the first derivative of 5*d**5 + 9 - 5*d - 20*d**5 + 14*d**5. Differentiate l(b) wrt b.\n' | b'-20*b**3\n' | b'Let l(d) be the first derivative of 5*d**5 + 9 - 5*d - 20*d**5 + 14*d**5. Differentiate l(b) wrt b.\n' | b'-20*b**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from bbnbbbbnnnngnbgbnbbb. What is prob of picking 1 b and 3 n?\n' | b'77/969\n' | b'Four letters picked without replacement from bbnbbbbnnnngnbgbnbbb. What is prob of picking 1 b and 3 n?\n' | b'77/969\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 4, m: 9, g: 3, s: 4}. What is prob of picking 1 r, 1 s, and 2 m?\n' | b'192/1615\n' | b'Four letters picked without replacement from {r: 4, m: 9, g: 3, s: 4}. What is prob of picking 1 r, 1 s, and 2 m?\n' | b'192/1615\n' | deepmind/math_dataset |
b'Let b be ((-6)/4)/((-3)/4). Let d(u) be the first derivative of -4 + 0*u - 3/2*u**2 + 1/3*u**3. Calculate d(b).\n' | b'-2\n' | b'Let b be ((-6)/4)/((-3)/4). Let d(u) be the first derivative of -4 + 0*u - 3/2*u**2 + 1/3*u**3. Calculate d(b).\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 3, p: 5, q: 5}. Give prob of sequence ssp.\n' | b'5/286\n' | b'Three letters picked without replacement from {s: 3, p: 5, q: 5}. Give prob of sequence ssp.\n' | b'5/286\n' | deepmind/math_dataset |
b'Let w(s) be the first derivative of -s**4/4 - s**3/3 + s**2 - s - 19. Calculate w(2).\n' | b'-9\n' | b'Let w(s) be the first derivative of -s**4/4 - s**3/3 + s**2 - s - 19. Calculate w(2).\n' | b'-9\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 5, a: 1, v: 3, b: 1, m: 1}. Give prob of sequence ave.\n' | b'1/66\n' | b'Three letters picked without replacement from {e: 5, a: 1, v: 3, b: 1, m: 1}. Give prob of sequence ave.\n' | b'1/66\n' | deepmind/math_dataset |
b'What is prob of picking 3 j when three letters picked without replacement from {j: 3, u: 7}?\n' | b'1/120\n' | b'What is prob of picking 3 j when three letters picked without replacement from {j: 3, u: 7}?\n' | b'1/120\n' | deepmind/math_dataset |
b'What is prob of sequence wj when two letters picked without replacement from njnnwwnwnjnn?\n' | b'1/22\n' | b'What is prob of sequence wj when two letters picked without replacement from njnnwwnwnjnn?\n' | b'1/22\n' | deepmind/math_dataset |
b'Let v(q) be the third derivative of -5*q**5/12 - q**3/2 - 18*q**2. Differentiate v(m) wrt m.\n' | b'-50*m\n' | b'Let v(q) be the third derivative of -5*q**5/12 - q**3/2 - 18*q**2. Differentiate v(m) wrt m.\n' | b'-50*m\n' | deepmind/math_dataset |
b'Simplify ((i*i/i**(-2)*i)/i**(-8)*i**(-4/7)/((i/(i/(i/((i*i**(8/9))/i)))*i)/i))**22 assuming i is positive.\n' | b'i**(17072/63)\n' | b'Simplify ((i*i/i**(-2)*i)/i**(-8)*i**(-4/7)/((i/(i/(i/((i*i**(8/9))/i)))*i)/i))**22 assuming i is positive.\n' | b'i**(17072/63)\n' | deepmind/math_dataset |
b'Let k = -26 + 25. Let t be 7 - (k + 4) - (-1 - -2). Solve i = 5*r + 3, 4*r + i - t*i = 0 for r.\n' | b'-1\n' | b'Let k = -26 + 25. Let t be 7 - (k + 4) - (-1 - -2). Solve i = 5*r + 3, 4*r + i - t*i = 0 for r.\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qhhqqqhhqhhqh. Give prob of sequence qhh.\n' | b'21/143\n' | b'Three letters picked without replacement from qhhqqqhhqhhqh. Give prob of sequence qhh.\n' | b'21/143\n' | deepmind/math_dataset |
b'Let y(k) = 2*k. Suppose 21 = h - 4*p, 6*p + 25 = 5*h + 2*p. Determine y(h).\n' | b'2\n' | b'Let y(k) = 2*k. Suppose 21 = h - 4*p, 6*p + 25 = 5*h + 2*p. Determine y(h).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((((g**0/g)/g)/g)/g*g*g*g)**(-16/11)/((g**(-9)/g)/(g*g*g**(2/19))) assuming g is positive.\n' | b'g**(2834/209)\n' | b'Simplify ((((g**0/g)/g)/g)/g*g*g*g)**(-16/11)/((g**(-9)/g)/(g*g*g**(2/19))) assuming g is positive.\n' | b'g**(2834/209)\n' | deepmind/math_dataset |
b'Let p = 45 + -40. What is the second derivative of 18*i**p + 77*i - 75*i + 40*i**5 wrt i?\n' | b'1160*i**3\n' | b'Let p = 45 + -40. What is the second derivative of 18*i**p + 77*i - 75*i + 40*i**5 wrt i?\n' | b'1160*i**3\n' | deepmind/math_dataset |
b'Let q(d) be the third derivative of -d**5/40 + 5*d**4/24 + d**3 - 7*d**2. Let m(w) be the first derivative of q(w). Determine m(5).\n' | b'-10\n' | b'Let q(d) be the third derivative of -d**5/40 + 5*d**4/24 + d**3 - 7*d**2. Let m(w) be the first derivative of q(w). Determine m(5).\n' | b'-10\n' | deepmind/math_dataset |
b'Let j = -822 - -826. Solve -u + j*u - 3*x = 0, -2*u + 4*x = 4 for u.\n' | b'2\n' | b'Let j = -822 - -826. Solve -u + j*u - 3*x = 0, -2*u + 4*x = 4 for u.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (((j/(j/(j*j**(-3/10))))/j)**(2/15)/(j**(-2/41)/((j/(j**(-15)*j))/j)))**(-2/149) assuming j is positive.\n' | b'j**(-28718/152725)\n' | b'Simplify (((j/(j/(j*j**(-3/10))))/j)**(2/15)/(j**(-2/41)/((j/(j**(-15)*j))/j)))**(-2/149) assuming j is positive.\n' | b'j**(-28718/152725)\n' | deepmind/math_dataset |
b'Simplify (q*q*q**(-1/15)*q*q)**(2/93)/(q**(-1/3)/(q/((q/(q*q/q**(-20)))/q))) assuming q is positive.\n' | b'q**(32668/1395)\n' | b'Simplify (q*q*q**(-1/15)*q*q)**(2/93)/(q**(-1/3)/(q/((q/(q*q/q**(-20)))/q))) assuming q is positive.\n' | b'q**(32668/1395)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 h and 3 b when four letters picked without replacement from bdqhhdhdhbsbddh.\n' | b'1/273\n' | b'Calculate prob of picking 1 h and 3 b when four letters picked without replacement from bdqhhdhdhbsbddh.\n' | b'1/273\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ddddpdpdddpd. Give prob of picking 2 p and 1 d.\n' | b'27/220\n' | b'Three letters picked without replacement from ddddpdpdddpd. Give prob of picking 2 p and 1 d.\n' | b'27/220\n' | deepmind/math_dataset |
b'Simplify (f**0*f)**(-24) assuming f is positive.\n' | b'f**(-24)\n' | b'Simplify (f**0*f)**(-24) assuming f is positive.\n' | b'f**(-24)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r and 2 q when three letters picked without replacement from blclbrylqqcccbllbl.\n' | b'1/816\n' | b'Calculate prob of picking 1 r and 2 q when three letters picked without replacement from blclbrylqqcccbllbl.\n' | b'1/816\n' | deepmind/math_dataset |
b'Let p(r) = -2*r - 18. Let v be p(-12). Suppose 2 - v = -c. Solve 5*o - o - c = 0, -2*l - o = -7 for l.\n' | b'3\n' | b'Let p(r) = -2*r - 18. Let v be p(-12). Suppose 2 - v = -c. Solve 5*o - o - c = 0, -2*l - o = -7 for l.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((o**(-1/3))**(-33)/(((o**(-3)/o)/o)/(o/(o*o**4))))/((o**(2/3))**21*((o*o**(-2/9)/o*o*o)/o)/((o**(-2/9)/o)/o)) assuming o is positive.\n' | b'o**(-5)\n' | b'Simplify ((o**(-1/3))**(-33)/(((o**(-3)/o)/o)/(o/(o*o**4))))/((o**(2/3))**21*((o*o**(-2/9)/o*o*o)/o)/((o**(-2/9)/o)/o)) assuming o is positive.\n' | b'o**(-5)\n' | deepmind/math_dataset |
b'Let h = 138 + -104. Suppose 0 = 5*s - 41 - h. Solve -6 + 1 = -l, -3*l + s = -4*k for k.\n' | b'0\n' | b'Let h = 138 + -104. Suppose 0 = 5*s - 41 - h. Solve -6 + 1 = -l, -3*l + s = -4*k for k.\n' | b'0\n' | deepmind/math_dataset |
b'Let d = -16 + 30. Solve -l = 6*k - 2*k - d, 0 = 3*l - 6 for k.\n' | b'3\n' | b'Let d = -16 + 30. Solve -l = 6*k - 2*k - d, 0 = 3*l - 6 for k.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 3 = -4*w + r - 2*r, -4*r - 12 = -5*w. Let x(p) = 2*p - 10. Let j be x(9). Suppose 4*o - j - 8 = w. Solve 0 = o*q + 3*s - s - 2, -3*q + s - 11 = 0 for q.\n' | b'-2\n' | b'Suppose 3 = -4*w + r - 2*r, -4*r - 12 = -5*w. Let x(p) = 2*p - 10. Let j be x(9). Suppose 4*o - j - 8 = w. Solve 0 = o*q + 3*s - s - 2, -3*q + s - 11 = 0 for q.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -13*c - 480 = -45*c. Solve 0 = o, 3*m + 2*o - c = 4*o for m.\n' | b'5\n' | b'Suppose -13*c - 480 = -45*c. Solve 0 = o, 3*m + 2*o - c = 4*o for m.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from akkaaab. What is prob of sequence aaak?\n' | b'2/35\n' | b'Four letters picked without replacement from akkaaab. What is prob of sequence aaak?\n' | b'2/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 1, v: 2, d: 4, r: 2, j: 5}. Give prob of picking 1 v and 1 o.\n' | b'2/91\n' | b'Two letters picked without replacement from {o: 1, v: 2, d: 4, r: 2, j: 5}. Give prob of picking 1 v and 1 o.\n' | b'2/91\n' | deepmind/math_dataset |
b'Let u(p) = -p - 4. Let m be (8 - 152/20)/((-2)/(-40)). Suppose 7*s = -s + m. Let f(k) = -k - 2. Let q be f(s). Give u(q).\n' | b'-1\n' | b'Let u(p) = -p - 4. Let m be (8 - 152/20)/((-2)/(-40)). Suppose 7*s = -s + m. Let f(k) = -k - 2. Let q be f(s). Give u(q).\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of sequence oo when two letters picked without replacement from {o: 2, f: 2}?\n' | b'1/6\n' | b'What is prob of sequence oo when two letters picked without replacement from {o: 2, f: 2}?\n' | b'1/6\n' | deepmind/math_dataset |
b'Let m(b) = -44*b - 12. Let q(p) = 10 + 10 + 7 + 5 - 30. Let x(o) = -2*m(o) - 44*q(o). Find the first derivative of x(h) wrt h.\n' | b'88\n' | b'Let m(b) = -44*b - 12. Let q(p) = 10 + 10 + 7 + 5 - 30. Let x(o) = -2*m(o) - 44*q(o). Find the first derivative of x(h) wrt h.\n' | b'88\n' | deepmind/math_dataset |
b'Let r(q) = q**3 - 2*q**2 - 3*q + 3. Let z(j) = 3*j**2. Let b be z(-1). Let f be r(b). Let n(p) = -p**2 + 4 + p - f + 1. Calculate n(-3).\n' | b'-10\n' | b'Let r(q) = q**3 - 2*q**2 - 3*q + 3. Let z(j) = 3*j**2. Let b be z(-1). Let f be r(b). Let n(p) = -p**2 + 4 + p - f + 1. Calculate n(-3).\n' | b'-10\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 f when four letters picked without replacement from fyffyfffyff.\n' | b'7/33\n' | b'Calculate prob of picking 4 f when four letters picked without replacement from fyffyfffyff.\n' | b'7/33\n' | deepmind/math_dataset |
b'Let z be ((-12)/(-14))/((-1)/7). Suppose -2*y = -q - 1 + 4, -q - 4*y - 21 = 0. Let b = z - q. Let n(c) = 6*c. Determine n(b).\n' | b'-6\n' | b'Let z be ((-12)/(-14))/((-1)/7). Suppose -2*y = -q - 1 + 4, -q - 4*y - 21 = 0. Let b = z - q. Let n(c) = 6*c. Determine n(b).\n' | b'-6\n' | deepmind/math_dataset |
b'Differentiate 83*g - 627 - 5*g + 634 with respect to g.\n' | b'78\n' | b'Differentiate 83*g - 627 - 5*g + 634 with respect to g.\n' | b'78\n' | deepmind/math_dataset |
b'Let l be ((-5)/3)/(45/(-54)). Let s = 143 - 143. What is the first derivative of -g**l + g**2 - 23*g**3 + s*g**3 - 24 wrt g?\n' | b'-69*g**2\n' | b'Let l be ((-5)/3)/(45/(-54)). Let s = 143 - 143. What is the first derivative of -g**l + g**2 - 23*g**3 + s*g**3 - 24 wrt g?\n' | b'-69*g**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u and 1 q when two letters picked without replacement from uqccx.\n' | b'1/10\n' | b'Calculate prob of picking 1 u and 1 q when two letters picked without replacement from uqccx.\n' | b'1/10\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xzxvzxzvdt. Give prob of picking 1 z, 2 v, and 1 x.\n' | b'3/70\n' | b'Four letters picked without replacement from xzxvzxzvdt. Give prob of picking 1 z, 2 v, and 1 x.\n' | b'3/70\n' | deepmind/math_dataset |
b'Suppose -6*p - 3 = -3*j - 3*p, -5*j = -4*p - 7. Let m(t) = -78 - 2*t + 77 - 17*t**3 + 5*t**2 + 16*t**3. Determine m(j).\n' | b'11\n' | b'Suppose -6*p - 3 = -3*j - 3*p, -5*j = -4*p - 7. Let m(t) = -78 - 2*t + 77 - 17*t**3 + 5*t**2 + 16*t**3. Determine m(j).\n' | b'11\n' | deepmind/math_dataset |
b'Suppose 7*w + 6 = 13. Let y be w + (-12)/(-8) - (-6)/(-12). Solve -5*d + 2*u - 15 = 0, 0*d = 4*d + y*u + 30 for d.\n' | b'-5\n' | b'Suppose 7*w + 6 = 13. Let y be w + (-12)/(-8) - (-6)/(-12). Solve -5*d + 2*u - 15 = 0, 0*d = 4*d + y*u + 30 for d.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of sequence oto when three letters picked without replacement from xovxvosscxtscvsxc.\n' | b'1/2040\n' | b'Calculate prob of sequence oto when three letters picked without replacement from xovxvosscxtscvsxc.\n' | b'1/2040\n' | deepmind/math_dataset |
b'Let p(r) be the first derivative of r**7/840 - r**6/120 - r**5/40 + r**4/8 + 2*r**3 + 4. Let t(c) be the third derivative of p(c). Calculate t(4).\n' | b'7\n' | b'Let p(r) be the first derivative of r**7/840 - r**6/120 - r**5/40 + r**4/8 + 2*r**3 + 4. Let t(c) be the third derivative of p(c). Calculate t(4).\n' | b'7\n' | deepmind/math_dataset |
b'Suppose 3*i - 16 = -1. Suppose 0*u - 10 = -i*u. Solve 2*w - 10 = 2*y, 3*y + 0*y + 10 = -u*w for y.\n' | b'-4\n' | b'Suppose 3*i - 16 = -1. Suppose 0*u - 10 = -i*u. Solve 2*w - 10 = 2*y, 3*y + 0*y + 10 = -u*w for y.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((s/s**0)**(1/8)/((s*(s/s**(1/8))/s)/(s/(s*s**(-2/7)))))**(1/3) assuming s is positive.\n' | b's**(-13/84)\n' | b'Simplify ((s/s**0)**(1/8)/((s*(s/s**(1/8))/s)/(s/(s*s**(-2/7)))))**(1/3) assuming s is positive.\n' | b's**(-13/84)\n' | deepmind/math_dataset |
b'Let t(h) = -h**2. Let j(z) = 2. Let b(w) = j(w) + 3*t(w). What is the first derivative of b(y) wrt y?\n' | b'-6*y\n' | b'Let t(h) = -h**2. Let j(z) = 2. Let b(w) = j(w) + 3*t(w). What is the first derivative of b(y) wrt y?\n' | b'-6*y\n' | deepmind/math_dataset |
b'Calculate prob of sequence gtjt when four letters picked without replacement from nlgngtgljtlggggljlg.\n' | b'1/2907\n' | b'Calculate prob of sequence gtjt when four letters picked without replacement from nlgngtgljtlggggljlg.\n' | b'1/2907\n' | deepmind/math_dataset |
b'Two letters picked without replacement from lmommfrrmfmmfm. What is prob of picking 1 f and 1 r?\n' | b'6/91\n' | b'Two letters picked without replacement from lmommfrrmfmmfm. What is prob of picking 1 f and 1 r?\n' | b'6/91\n' | deepmind/math_dataset |
b'Let f(z) = -7*z + 96. Let s be f(13). Suppose 2*n + 2*a - a = 5, -s*n = -a - 30. Solve -4*q - m = -n, -7 = -0*q - 2*q + m for q.\n' | b'2\n' | b'Let f(z) = -7*z + 96. Let s be f(13). Suppose 2*n + 2*a - a = 5, -s*n = -a - 30. Solve -4*q - m = -n, -7 = -0*q - 2*q + m for q.\n' | b'2\n' | deepmind/math_dataset |
b'Let u(w) = 8*w + 1547*w**2 - 1545*w**2 - 3*w + 32*w + 19*w - 33. What is u(-29)?\n' | b'25\n' | b'Let u(w) = 8*w + 1547*w**2 - 1545*w**2 - 3*w + 32*w + 19*w - 33. What is u(-29)?\n' | b'25\n' | deepmind/math_dataset |
b'Simplify (q**(-1/2)*q)**2/(q**(-2/13)*q/(q**(-2)*q)*q*q) assuming q is positive.\n' | b'q**(-37/13)\n' | b'Simplify (q**(-1/2)*q)**2/(q**(-2/13)*q/(q**(-2)*q)*q*q) assuming q is positive.\n' | b'q**(-37/13)\n' | deepmind/math_dataset |
b'Suppose -276 = -x - 2*z, 7*x + 5*z + 948 = 2880. Solve -4*g + 289 = -3*l + x, -8 = -2*g for l.\n' | b'1\n' | b'Suppose -276 = -x - 2*z, 7*x + 5*z + 948 = 2880. Solve -4*g + 289 = -3*l + x, -8 = -2*g for l.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from wwwwwvvvvvwvwwwwvww. Give prob of sequence wvw.\n' | b'154/969\n' | b'Three letters picked without replacement from wwwwwvvvvvwvwwwwvww. Give prob of sequence wvw.\n' | b'154/969\n' | deepmind/math_dataset |
b'Let c be 50/125 + (-4 - -3)*69/(-15). Solve -3*d + c*v = -32, -d - 22 = -0*d + 3*v for d.\n' | b'-1\n' | b'Let c be 50/125 + (-4 - -3)*69/(-15). Solve -3*d + c*v = -32, -d - 22 = -0*d + 3*v for d.\n' | b'-1\n' | deepmind/math_dataset |
b'Let r(d) be the second derivative of -d**3/3 - d**2 + 2*d. Let b(j) be the third derivative of -j**4/24 + 2*j**3 + 6*j**2. Let x be b(15). Determine r(x).\n' | b'4\n' | b'Let r(d) be the second derivative of -d**3/3 - d**2 + 2*d. Let b(j) be the third derivative of -j**4/24 + 2*j**3 + 6*j**2. Let x be b(15). Determine r(x).\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 1 = -12*y + 61. Suppose -y*g - 4*r = -2, 22 - 8 = 2*g - 5*r. Solve 10 = 4*s - g*s, -5*s = -3*l - 40 for l.\n' | b'-5\n' | b'Suppose 1 = -12*y + 61. Suppose -y*g - 4*r = -2, 22 - 8 = 2*g - 5*r. Solve 10 = 4*s - g*s, -5*s = -3*l - 40 for l.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose i + 13 = 5*w - w, 3*w = -5*i + 27. Suppose o = 2*z - 6, z - 3*o - 12 = -w. Let p(r) = r**2 + 3*r - 2*r - z*r - 2. Determine p(4).\n' | b'10\n' | b'Suppose i + 13 = 5*w - w, 3*w = -5*i + 27. Suppose o = 2*z - 6, z - 3*o - 12 = -w. Let p(r) = r**2 + 3*r - 2*r - z*r - 2. Determine p(4).\n' | b'10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 1, x: 1, q: 5, z: 2}. Give prob of sequence qe.\n' | b'5/72\n' | b'Two letters picked without replacement from {e: 1, x: 1, q: 5, z: 2}. Give prob of sequence qe.\n' | b'5/72\n' | deepmind/math_dataset |
b'What is the second derivative of 234*o**2 + 271*o**2 + 0*o + o + 323*o**2 + 515 + 1067 wrt o?\n' | b'1656\n' | b'What is the second derivative of 234*o**2 + 271*o**2 + 0*o + o + 323*o**2 + 515 + 1067 wrt o?\n' | b'1656\n' | deepmind/math_dataset |
b'Let m(l) be the second derivative of 0 - 4/3*l**3 - 3/2*l**2 - 1/12*l**4 - 7*l. What is m(-6)?\n' | b'9\n' | b'Let m(l) be the second derivative of 0 - 4/3*l**3 - 3/2*l**2 - 1/12*l**4 - 7*l. What is m(-6)?\n' | b'9\n' | deepmind/math_dataset |
b'Let n(f) = f. Suppose 2*s + 6 = 4*s. Let v be (s/(-2))/((-15)/20). Suppose 0 = -2*a - 2*x + v, -4*a - 2*x = -0 + 2. What is n(a)?\n' | b'-2\n' | b'Let n(f) = f. Suppose 2*s + 6 = 4*s. Let v be (s/(-2))/((-15)/20). Suppose 0 = -2*a - 2*x + v, -4*a - 2*x = -0 + 2. What is n(a)?\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 0 = 2*d - 5*c + 18, 0 = 2*d + 10*c - 12*c + 18. Let q(v) = 3*v + 16. Determine q(d).\n' | b'-11\n' | b'Suppose 0 = 2*d - 5*c + 18, 0 = 2*d + 10*c - 12*c + 18. Let q(v) = 3*v + 16. Determine q(d).\n' | b'-11\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u and 1 d when two letters picked without replacement from {d: 4, u: 1, l: 2, k: 1}.\n' | b'1/7\n' | b'Calculate prob of picking 1 u and 1 d when two letters picked without replacement from {d: 4, u: 1, l: 2, k: 1}.\n' | b'1/7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kwwbbkkkwwwkk. What is prob of sequence bb?\n' | b'1/78\n' | b'Two letters picked without replacement from kwwbbkkkwwwkk. What is prob of sequence bb?\n' | b'1/78\n' | deepmind/math_dataset |
b'Let p(l) be the second derivative of l**7/42 - 31*l**6/15 + 61*l**4/6 - 13*l + 3. What is the third derivative of p(y) wrt y?\n' | b'60*y**2 - 1488*y\n' | b'Let p(l) be the second derivative of l**7/42 - 31*l**6/15 + 61*l**4/6 - 13*l + 3. What is the third derivative of p(y) wrt y?\n' | b'60*y**2 - 1488*y\n' | deepmind/math_dataset |
b'Simplify (j*j/(j/(j*j*(j**(1/6)*j)/j)))/j**(-2/11)*j*j**1*j**(-1) assuming j is positive.\n' | b'j**(287/66)\n' | b'Simplify (j*j/(j/(j*j*(j**(1/6)*j)/j)))/j**(-2/11)*j*j**1*j**(-1) assuming j is positive.\n' | b'j**(287/66)\n' | deepmind/math_dataset |
b'What is prob of sequence jzji when four letters picked without replacement from {j: 2, w: 1, z: 1, r: 2, o: 2, i: 1}?\n' | b'1/1512\n' | b'What is prob of sequence jzji when four letters picked without replacement from {j: 2, w: 1, z: 1, r: 2, o: 2, i: 1}?\n' | b'1/1512\n' | deepmind/math_dataset |
b'Let q(x) = 52185*x**2 - 31*x - 30. Let j be q(-1). What is the second derivative of -34*v**2 + 52186 + 7*v - 13*v - 54*v - j wrt v?\n' | b'-68\n' | b'Let q(x) = 52185*x**2 - 31*x - 30. Let j be q(-1). What is the second derivative of -34*v**2 + 52186 + 7*v - 13*v - 54*v - j wrt v?\n' | b'-68\n' | deepmind/math_dataset |
b'Let d be 117/(-18)*2*-1. Suppose d = 2*o - 1. Let z = 13 - o. Solve -2*p - n = 4*n + 6, 0 = -p - 4*n - z for p.\n' | b'2\n' | b'Let d be 117/(-18)*2*-1. Suppose d = 2*o - 1. Let z = 13 - o. Solve -2*p - n = 4*n + 6, 0 = -p - 4*n - z for p.\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {z: 5, n: 1, o: 2, b: 3, y: 1, d: 3}. Give prob of picking 2 d and 1 y.\n' | b'3/455\n' | b'Three letters picked without replacement from {z: 5, n: 1, o: 2, b: 3, y: 1, d: 3}. Give prob of picking 2 d and 1 y.\n' | b'3/455\n' | deepmind/math_dataset |
b'What is prob of sequence bob when three letters picked without replacement from bbbooooo?\n' | b'5/56\n' | b'What is prob of sequence bob when three letters picked without replacement from bbbooooo?\n' | b'5/56\n' | deepmind/math_dataset |
b'Four letters picked without replacement from aaaxaxaaaaaa. Give prob of sequence axaa.\n' | b'4/33\n' | b'Four letters picked without replacement from aaaxaxaaaaaa. Give prob of sequence axaa.\n' | b'4/33\n' | deepmind/math_dataset |
b'Simplify (n**(2/9))**(-38)/((n**5*n)/(n/(n**5*n))) assuming n is positive.\n' | b'n**(-175/9)\n' | b'Simplify (n**(2/9))**(-38)/((n**5*n)/(n/(n**5*n))) assuming n is positive.\n' | b'n**(-175/9)\n' | deepmind/math_dataset |
b'What is the derivative of 1670*r**2 + 2*r**3 - 10*r**3 - 2*r**3 + 8*r**3 - 3061 wrt r?\n' | b'-6*r**2 + 3340*r\n' | b'What is the derivative of 1670*r**2 + 2*r**3 - 10*r**3 - 2*r**3 + 8*r**3 - 3061 wrt r?\n' | b'-6*r**2 + 3340*r\n' | deepmind/math_dataset |
b'Simplify ((l*l**(-14))/l)**(-18)*l**(-4/13)*l**(2/17)/l assuming l is positive.\n' | b'l**(55429/221)\n' | b'Simplify ((l*l**(-14))/l)**(-18)*l**(-4/13)*l**(2/17)/l assuming l is positive.\n' | b'l**(55429/221)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from axxaaaxanxaaa. What is prob of picking 3 a and 1 x?\n' | b'224/715\n' | b'Four letters picked without replacement from axxaaaxanxaaa. What is prob of picking 3 a and 1 x?\n' | b'224/715\n' | deepmind/math_dataset |
b'Let k(f) = -2*f**2 + 7*f - 5. Let h = 14261 + -14259. Give k(h).\n' | b'1\n' | b'Let k(f) = -2*f**2 + 7*f - 5. Let h = 14261 + -14259. Give k(h).\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence ww when two letters picked without replacement from dgwmmwwwddwwq?\n' | b'5/26\n' | b'What is prob of sequence ww when two letters picked without replacement from dgwmmwwwddwwq?\n' | b'5/26\n' | deepmind/math_dataset |
b'Let m(q) be the third derivative of -31*q**7/210 + 11*q**4/24 + 1231*q**3/3 - 2315*q**2. What is the derivative of m(j) wrt j?\n' | b'-124*j**3 + 11\n' | b'Let m(q) be the third derivative of -31*q**7/210 + 11*q**4/24 + 1231*q**3/3 - 2315*q**2. What is the derivative of m(j) wrt j?\n' | b'-124*j**3 + 11\n' | deepmind/math_dataset |
b'Simplify r**(-29)*r**33*r assuming r is positive.\n' | b'r**5\n' | b'Simplify r**(-29)*r**33*r assuming r is positive.\n' | b'r**5\n' | deepmind/math_dataset |
b'Let h(a) = -2*a - 2. Suppose 4*l = -2*l + 486. Suppose 0 = 3*t - l + 63. Determine h(t).\n' | b'-14\n' | b'Let h(a) = -2*a - 2. Suppose 4*l = -2*l + 486. Suppose 0 = 3*t - l + 63. Determine h(t).\n' | b'-14\n' | deepmind/math_dataset |
b'Suppose 4*a + 0 = -68. Let o(i) = -i**2 - 17*i + 1. Calculate o(a).\n' | b'1\n' | b'Suppose 4*a + 0 = -68. Let o(i) = -i**2 - 17*i + 1. Calculate o(a).\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((g/g**(-1/4))/g**(-2))/(g*g**4*g**(-2/13)) assuming g is positive.\n' | b'g**(-83/52)\n' | b'Simplify ((g/g**(-1/4))/g**(-2))/(g*g**4*g**(-2/13)) assuming g is positive.\n' | b'g**(-83/52)\n' | deepmind/math_dataset |
b'Simplify ((z/z**(1/2))**(4/9))**(31/3) assuming z is positive.\n' | b'z**(62/27)\n' | b'Simplify ((z/z**(1/2))**(4/9))**(31/3) assuming z is positive.\n' | b'z**(62/27)\n' | deepmind/math_dataset |
b'Simplify (f**(3/7)/f)**(-1/8) assuming f is positive.\n' | b'f**(1/14)\n' | b'Simplify (f**(3/7)/f)**(-1/8) assuming f is positive.\n' | b'f**(1/14)\n' | deepmind/math_dataset |
b'Suppose -23 = -5*t - 8. Solve i = -5*g - 30, g + 12 = -2*i - t for g.\n' | b'-5\n' | b'Suppose -23 = -5*t - 8. Solve i = -5*g - 30, g + 12 = -2*i - t for g.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose f = -5*b + 2 + 18, -4*f = 0. Differentiate -24*r**4 + 51*r**b - r - 15 + r wrt r.\n' | b'108*r**3\n' | b'Suppose f = -5*b + 2 + 18, -4*f = 0. Differentiate -24*r**4 + 51*r**b - r - 15 + r wrt r.\n' | b'108*r**3\n' | deepmind/math_dataset |
b'Let h(u) = 3*u**4 - 3*u**2 + 2. Let c(l) = -l**2 + 1. Let s = 0 + 1. Let v be (-4)/(-8)*s*-2. Let f(r) = v*h(r) + 3*c(r). What is the derivative of f(m) wrt m?\n' | b'-12*m**3\n' | b'Let h(u) = 3*u**4 - 3*u**2 + 2. Let c(l) = -l**2 + 1. Let s = 0 + 1. Let v be (-4)/(-8)*s*-2. Let f(r) = v*h(r) + 3*c(r). What is the derivative of f(m) wrt m?\n' | b'-12*m**3\n' | deepmind/math_dataset |
b'Suppose 0 = 38*u - u - 148. Solve -5*r + 1 = -3*g - 16, r = -u*g + 8 for g.\n' | b'1\n' | b'Suppose 0 = 38*u - u - 148. Solve -5*r + 1 = -3*g - 16, r = -u*g + 8 for g.\n' | b'1\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.