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'Three letters picked without replacement from {t: 1, w: 1, i: 3}. Give prob of sequence twi.\n' | b'1/20\n' | b'Three letters picked without replacement from {t: 1, w: 1, i: 3}. Give prob of sequence twi.\n' | b'1/20\n' | deepmind/math_dataset |
b'Let d(q) = q**3 - 4*q**2 + 3*q + 3. Let s be d(3). Let m be 0 - (17 + -2)/s. Let u(y) = -3 + 1 - 2*y - 3. What is u(m)?\n' | b'5\n' | b'Let d(q) = q**3 - 4*q**2 + 3*q + 3. Let s be d(3). Let m be 0 - (17 + -2)/s. Let u(y) = -3 + 1 - 2*y - 3. What is u(m)?\n' | b'5\n' | deepmind/math_dataset |
b'Let m be 14/(-4)*(-8 + (0 - 468/(-63))). Solve -6*c = -m*c + 5*q + 33, 5*c - 4*q - 10 = 0 for c.\n' | b'-2\n' | b'Let m be 14/(-4)*(-8 + (0 - 468/(-63))). Solve -6*c = -m*c + 5*q + 33, 5*c - 4*q - 10 = 0 for c.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (j**(-2/3)*j*j*j**(1/3))/(j**(2/11))**17 assuming j is positive.\n' | b'j**(-47/33)\n' | b'Simplify (j**(-2/3)*j*j*j**(1/3))/(j**(2/11))**17 assuming j is positive.\n' | b'j**(-47/33)\n' | deepmind/math_dataset |
b'Let z(p) = 2*p + 24. Let t be z(-11). Let j = 17 - 17. Solve -y - b = 0, j = t*y - y - 2*b + 6 for y.\n' | b'-2\n' | b'Let z(p) = 2*p + 24. Let t be z(-11). Let j = 17 - 17. Solve -y - b = 0, j = t*y - y - 2*b + 6 for y.\n' | b'-2\n' | deepmind/math_dataset |
b'Let i = -47 - -56. Solve 5*r - 2 = -3*x, i = -5*x + x + 5*r for x.\n' | b'-1\n' | b'Let i = -47 - -56. Solve 5*r - 2 = -3*x, i = -5*x + x + 5*r for x.\n' | b'-1\n' | deepmind/math_dataset |
b'Let z(t) be the third derivative of -t**4/24 - t**3/3 + 2*t**2. What is z(-2)?\n' | b'0\n' | b'Let z(t) be the third derivative of -t**4/24 - t**3/3 + 2*t**2. What is z(-2)?\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -6*l = -5*l - 11. Suppose u + 5 = 2*n - 5*n, -2*u + l = -n. Let m = -1 + u. Solve -5 = 5*x - m*o, -2*x - 5*o = -4*x + 17 for x.\n' | b'-4\n' | b'Suppose -6*l = -5*l - 11. Suppose u + 5 = 2*n - 5*n, -2*u + l = -n. Let m = -1 + u. Solve -5 = 5*x - m*o, -2*x - 5*o = -4*x + 17 for x.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 63 = 33*w - 24*w. Suppose 0 = 2*i + 5*f + 8, -3*i = f + w - 21. Solve -r = -y + 4, 2*y + 0*r = 4*r + i for y.\n' | b'5\n' | b'Suppose 63 = 33*w - 24*w. Suppose 0 = 2*i + 5*f + 8, -3*i = f + w - 21. Solve -r = -y + 4, 2*y + 0*r = 4*r + i for y.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (((i*i**(-9))/i*i*i**7)**(2/31))**(-34) assuming i is positive.\n' | b'i**(68/31)\n' | b'Simplify (((i*i**(-9))/i*i*i**7)**(2/31))**(-34) assuming i is positive.\n' | b'i**(68/31)\n' | deepmind/math_dataset |
b'Let g be 3 + (-28)/1 + 3. Let d be g/(-55) - 118/(-5). Let h = d - 20. Solve 0 = 4*c + h*y + 24, 21 = -3*c - 8*y + 4*y for c.\n' | b'-3\n' | b'Let g be 3 + (-28)/1 + 3. Let d be g/(-55) - 118/(-5). Let h = d - 20. Solve 0 = 4*c + h*y + 24, 21 = -3*c - 8*y + 4*y for c.\n' | b'-3\n' | deepmind/math_dataset |
b'Let a = 9 + -5. Let d(j) = 4*j. Let g be d(1). Suppose 0 = -h + g*h - 15. Solve -3*w + a*t + 20 = w, 1 = h*w + t for w.\n' | b'1\n' | b'Let a = 9 + -5. Let d(j) = 4*j. Let g be d(1). Suppose 0 = -h + g*h - 15. Solve -3*w + a*t + 20 = w, 1 = h*w + t for w.\n' | b'1\n' | deepmind/math_dataset |
b'Let g(z) be the third derivative of -5*z**6/24 + z**5/30 + 17*z**3/6 - 42*z**2 + z. Find the third derivative of g(j) wrt j.\n' | b'-150\n' | b'Let g(z) be the third derivative of -5*z**6/24 + z**5/30 + 17*z**3/6 - 42*z**2 + z. Find the third derivative of g(j) wrt j.\n' | b'-150\n' | deepmind/math_dataset |
b'Let u(c) = -c + 13. Let b be u(6). Let v = -3 + b. What is the second derivative of d - v + 4 + 4*d - 5*d**4 wrt d?\n' | b'-60*d**2\n' | b'Let u(c) = -c + 13. Let b be u(6). Let v = -3 + b. What is the second derivative of d - v + 4 + 4*d - 5*d**4 wrt d?\n' | b'-60*d**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 1, d: 1, t: 11, o: 2, k: 5}. What is prob of picking 1 t, 1 b, and 1 o?\n' | b'11/570\n' | b'Three letters picked without replacement from {b: 1, d: 1, t: 11, o: 2, k: 5}. What is prob of picking 1 t, 1 b, and 1 o?\n' | b'11/570\n' | deepmind/math_dataset |
b'Two letters picked without replacement from spbbbpbpbppbkbmspppp. What is prob of sequence mp?\n' | b'9/380\n' | b'Two letters picked without replacement from spbbbpbpbppbkbmspppp. What is prob of sequence mp?\n' | b'9/380\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xxxxtxtxxxtttxxxxx. What is prob of picking 3 t and 1 x?\n' | b'13/306\n' | b'Four letters picked without replacement from xxxxtxtxxxtttxxxxx. What is prob of picking 3 t and 1 x?\n' | b'13/306\n' | deepmind/math_dataset |
b'Let k(f) = f**2 + 2*f. Let h(y) = y**3 - y**2 - y - 1. Let l(x) = x**2 + 28*x + 26. Let q be l(-27). Let z(v) = q*k(v) - 2*h(v). What is z(2)?\n' | b'-10\n' | b'Let k(f) = f**2 + 2*f. Let h(y) = y**3 - y**2 - y - 1. Let l(x) = x**2 + 28*x + 26. Let q be l(-27). Let z(v) = q*k(v) - 2*h(v). What is z(2)?\n' | b'-10\n' | deepmind/math_dataset |
b'Let r(p) be the third derivative of p**5/60 + p**4/24 - p**3 + 251*p**2. Determine r(0).\n' | b'-6\n' | b'Let r(p) be the third derivative of p**5/60 + p**4/24 - p**3 + 251*p**2. Determine r(0).\n' | b'-6\n' | deepmind/math_dataset |
b'Let i(n) = -5*n**2 - n. Suppose 2*d + d + 5*v = 13, 3*d = -2*v + 7. What is i(d)?\n' | b'-6\n' | b'Let i(n) = -5*n**2 - n. Suppose 2*d + d + 5*v = 13, 3*d = -2*v + 7. What is i(d)?\n' | b'-6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from oyapypyyyymyyyyapp. What is prob of sequence pom?\n' | b'1/1224\n' | b'Three letters picked without replacement from oyapypyyyymyyyyapp. What is prob of sequence pom?\n' | b'1/1224\n' | deepmind/math_dataset |
b'Three letters picked without replacement from yqyyqy. Give prob of sequence yqy.\n' | b'1/5\n' | b'Three letters picked without replacement from yqyyqy. Give prob of sequence yqy.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let j be -6 + (14 - 4) - (0 + 1). Find the third derivative of -172*l + 172*l - j*l**4 + 9*l**2 - 2 + 7*l**4 wrt l.\n' | b'96*l\n' | b'Let j be -6 + (14 - 4) - (0 + 1). Find the third derivative of -172*l + 172*l - j*l**4 + 9*l**2 - 2 + 7*l**4 wrt l.\n' | b'96*l\n' | deepmind/math_dataset |
b'Suppose -27 = 5*c + s, -6 = -4*s + 7*s. Let v(x) = x**3 + 6*x**2 + 4*x - 1. Calculate v(c).\n' | b'4\n' | b'Suppose -27 = 5*c + s, -6 = -4*s + 7*s. Let v(x) = x**3 + 6*x**2 + 4*x - 1. Calculate v(c).\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of picking 1 c, 1 t, and 1 d when three letters picked without replacement from tpdcgup?\n' | b'1/35\n' | b'What is prob of picking 1 c, 1 t, and 1 d when three letters picked without replacement from tpdcgup?\n' | b'1/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ssduwcrcdudcddcdr. Give prob of sequence rw.\n' | b'1/136\n' | b'Two letters picked without replacement from ssduwcrcdudcddcdr. Give prob of sequence rw.\n' | b'1/136\n' | deepmind/math_dataset |
b'Let h(o) = 5*o**2 + 27*o - 7. Let w be h(-6). Let i(z) = 5 + 31*z - 26*z - 12*z**2 + w*z**2. Calculate i(6).\n' | b'-1\n' | b'Let h(o) = 5*o**2 + 27*o - 7. Let w be h(-6). Let i(z) = 5 + 31*z - 26*z - 12*z**2 + w*z**2. Calculate i(6).\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 h, 1 z, 1 q, and 1 k when four letters picked without replacement from {h: 1, f: 7, z: 3, k: 7, q: 1}.\n' | b'7/1292\n' | b'Calculate prob of picking 1 h, 1 z, 1 q, and 1 k when four letters picked without replacement from {h: 1, f: 7, z: 3, k: 7, q: 1}.\n' | b'7/1292\n' | deepmind/math_dataset |
b'Let b be (-6)/21 - (-16)/7. Let z = 100 + -94. Find the third derivative of 4*k**b - 2*k**3 + z*k**3 - 5*k**3 wrt k.\n' | b'-6\n' | b'Let b be (-6)/21 - (-16)/7. Let z = 100 + -94. Find the third derivative of 4*k**b - 2*k**3 + z*k**3 - 5*k**3 wrt k.\n' | b'-6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from emmmmem. What is prob of picking 1 e and 3 m?\n' | b'4/7\n' | b'Four letters picked without replacement from emmmmem. What is prob of picking 1 e and 3 m?\n' | b'4/7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 1, t: 1, u: 3, j: 4, o: 1, p: 5}. What is prob of sequence pt?\n' | b'1/42\n' | b'Two letters picked without replacement from {v: 1, t: 1, u: 3, j: 4, o: 1, p: 5}. What is prob of sequence pt?\n' | b'1/42\n' | deepmind/math_dataset |
b'Let s be (3 - -2 - 4)*11. Let a(m) = -5 - m**2 - 2 + 10*m + 4*m - s. What is a(12)?\n' | b'6\n' | b'Let s be (3 - -2 - 4)*11. Let a(m) = -5 - m**2 - 2 + 10*m + 4*m - s. What is a(12)?\n' | b'6\n' | deepmind/math_dataset |
b'Let l(k) be the third derivative of 92*k**7/15 + 823*k**5/60 + 774*k**2. Find the third derivative of l(h) wrt h.\n' | b'30912*h\n' | b'Let l(k) be the third derivative of 92*k**7/15 + 823*k**5/60 + 774*k**2. Find the third derivative of l(h) wrt h.\n' | b'30912*h\n' | deepmind/math_dataset |
b'Simplify ((u*u**(-8))/u**(-7))**(-50)/(((u*u**(7/4))/u*u)/(u*(u/(u**(-6)*u))/u))**(3/7) assuming u is positive.\n' | b'u**(39/28)\n' | b'Simplify ((u*u**(-8))/u**(-7))**(-50)/(((u*u**(7/4))/u*u)/(u*(u/(u**(-6)*u))/u))**(3/7) assuming u is positive.\n' | b'u**(39/28)\n' | deepmind/math_dataset |
b'Let o(j) be the second derivative of -37*j**6/30 - 20*j**2 + 10*j. Differentiate o(t) wrt t.\n' | b'-148*t**3\n' | b'Let o(j) be the second derivative of -37*j**6/30 - 20*j**2 + 10*j. Differentiate o(t) wrt t.\n' | b'-148*t**3\n' | deepmind/math_dataset |
b'Let r = -31 - -26. Let l(t) = t + 7. Let s be l(r). Solve -5*i - 1 + 7 = s*d, d - 3 = -5*i for d.\n' | b'3\n' | b'Let r = -31 - -26. Let l(t) = t + 7. Let s be l(r). Solve -5*i - 1 + 7 = s*d, d - 3 = -5*i for d.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify k*(k**(-27)/k)/k*k*k**(36/11)*k assuming k is positive.\n' | b'k**(-250/11)\n' | b'Simplify k*(k**(-27)/k)/k*k*k**(36/11)*k assuming k is positive.\n' | b'k**(-250/11)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {d: 1, n: 1, o: 1, r: 2}. What is prob of picking 1 o, 1 r, 1 n, and 1 d?\n' | b'2/5\n' | b'Four letters picked without replacement from {d: 1, n: 1, o: 1, r: 2}. What is prob of picking 1 o, 1 r, 1 n, and 1 d?\n' | b'2/5\n' | deepmind/math_dataset |
b'Simplify (a/a**18*a)**23/(((a/a**(1/42))/a)/a*a*a**(-12)*a) assuming a is positive.\n' | b'a**(-14993/42)\n' | b'Simplify (a/a**18*a)**23/(((a/a**(1/42))/a)/a*a*a**(-12)*a) assuming a is positive.\n' | b'a**(-14993/42)\n' | deepmind/math_dataset |
b'Simplify (z**(2/7))**(-27)/((z*z/z**(-1))/z*z*z**(-3/7)/z) assuming z is positive.\n' | b'z**(-65/7)\n' | b'Simplify (z**(2/7))**(-27)/((z*z/z**(-1))/z*z*z**(-3/7)/z) assuming z is positive.\n' | b'z**(-65/7)\n' | deepmind/math_dataset |
b'Let a(d) be the first derivative of -7*d**2 + d + 9. Determine a(1).\n' | b'-13\n' | b'Let a(d) be the first derivative of -7*d**2 + d + 9. Determine a(1).\n' | b'-13\n' | deepmind/math_dataset |
b'Simplify (n**(-1/3))**34*((n*n/(n*n**2)*n)/n)/n**(-7) assuming n is positive.\n' | b'n**(-16/3)\n' | b'Simplify (n**(-1/3))**34*((n*n/(n*n**2)*n)/n)/n**(-7) assuming n is positive.\n' | b'n**(-16/3)\n' | deepmind/math_dataset |
b'Let o(k) = -k**2 + 17*k + 43. Let j = 37 + -18. Let d be o(j). Suppose -74 = -d*m - 29. Solve 0 = -3*r - 4*a + 15, 4*r - 5*a - 11 = m for r.\n' | b'5\n' | b'Let o(k) = -k**2 + 17*k + 43. Let j = 37 + -18. Let d be o(j). Suppose -74 = -d*m - 29. Solve 0 = -3*r - 4*a + 15, 4*r - 5*a - 11 = m for r.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence mamm when four letters picked without replacement from tzttamtzmmm.\n' | b'1/330\n' | b'Calculate prob of sequence mamm when four letters picked without replacement from tzttamtzmmm.\n' | b'1/330\n' | deepmind/math_dataset |
b'Let v(m) be the first derivative of m**3/3 + 4*m**2 - 6*m + 43. What is v(-8)?\n' | b'-6\n' | b'Let v(m) be the first derivative of m**3/3 + 4*m**2 - 6*m + 43. What is v(-8)?\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify ((j/j**(3/5))/j*j*j**24)/(j**(-2)/(j/(j/(j*j*j*j*j/j**(-3/14)*j*j*j*j)*j)*j)) assuming j is positive.\n' | b'j**(2493/70)\n' | b'Simplify ((j/j**(3/5))/j*j*j**24)/(j**(-2)/(j/(j/(j*j*j*j*j/j**(-3/14)*j*j*j*j)*j)*j)) assuming j is positive.\n' | b'j**(2493/70)\n' | deepmind/math_dataset |
b'Simplify (b**(1/5)/b*b**10*b*b/b**(4/3)*(b/((b*b**(5/3)*b)/b)*b*b)/b)**(-36) assuming b is positive.\n' | b'b**(-1656/5)\n' | b'Simplify (b**(1/5)/b*b**10*b*b/b**(4/3)*(b/((b*b**(5/3)*b)/b)*b*b)/b)**(-36) assuming b is positive.\n' | b'b**(-1656/5)\n' | deepmind/math_dataset |
b'Let a(w) be the second derivative of w**5/20 - w**4/3 - w**3 + 3*w**2/2 - 22*w. Give a(5).\n' | b'-2\n' | b'Let a(w) be the second derivative of w**5/20 - w**4/3 - w**3 + 3*w**2/2 - 22*w. Give a(5).\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 1, e: 1, r: 1, o: 2, s: 1, c: 1}. What is prob of picking 1 s and 1 l?\n' | b'1/21\n' | b'Two letters picked without replacement from {l: 1, e: 1, r: 1, o: 2, s: 1, c: 1}. What is prob of picking 1 s and 1 l?\n' | b'1/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 1, b: 4, d: 9}. Give prob of picking 1 b and 1 d.\n' | b'36/91\n' | b'Two letters picked without replacement from {e: 1, b: 4, d: 9}. Give prob of picking 1 b and 1 d.\n' | b'36/91\n' | deepmind/math_dataset |
b'Simplify ((i/i**(-18/7))/i**(-7))/(i**6/(i**18*i)) assuming i is positive.\n' | b'i**(165/7)\n' | b'Simplify ((i/i**(-18/7))/i**(-7))/(i**6/(i**18*i)) assuming i is positive.\n' | b'i**(165/7)\n' | deepmind/math_dataset |
b'Let c(f) = 4*f**2 + 24*f + 2. Let i(k) = 15*k**2 + 108*k + 9. Let t(y) = -9*c(y) + 2*i(y). Calculate t(-1).\n' | b'-6\n' | b'Let c(f) = 4*f**2 + 24*f + 2. Let i(k) = 15*k**2 + 108*k + 9. Let t(y) = -9*c(y) + 2*i(y). Calculate t(-1).\n' | b'-6\n' | deepmind/math_dataset |
b'What is prob of picking 1 a, 1 p, and 1 f when three letters picked without replacement from xapqfssf?\n' | b'1/28\n' | b'What is prob of picking 1 a, 1 p, and 1 f when three letters picked without replacement from xapqfssf?\n' | b'1/28\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j, 2 e, and 1 t when four letters picked without replacement from vetvxexjteeejve.\n' | b'4/91\n' | b'Calculate prob of picking 1 j, 2 e, and 1 t when four letters picked without replacement from vetvxexjteeejve.\n' | b'4/91\n' | deepmind/math_dataset |
b'Let b(y) = -y**3 - y**2 + y - 1. Let t(h) = -11*h**3 - 5*h**2 - 12*h - 5. Let i(w) = -5*b(w) + t(w). What is the second derivative of i(j) wrt j?\n' | b'-36*j\n' | b'Let b(y) = -y**3 - y**2 + y - 1. Let t(h) = -11*h**3 - 5*h**2 - 12*h - 5. Let i(w) = -5*b(w) + t(w). What is the second derivative of i(j) wrt j?\n' | b'-36*j\n' | deepmind/math_dataset |
b'Let x = 123 + -120. Solve -x*z + z - 7 = -3*b, -5*b = 5 for z.\n' | b'-5\n' | b'Let x = 123 + -120. Solve -x*z + z - 7 = -3*b, -5*b = 5 for z.\n' | b'-5\n' | deepmind/math_dataset |
b'Let c = 883 + -883. Let l(p) be the first derivative of 1 + c*p**4 - 10/3*p**3 - 2*p**5 + 0*p**2 + 0*p. Find the third derivative of l(u) wrt u.\n' | b'-240*u\n' | b'Let c = 883 + -883. Let l(p) be the first derivative of 1 + c*p**4 - 10/3*p**3 - 2*p**5 + 0*p**2 + 0*p. Find the third derivative of l(u) wrt u.\n' | b'-240*u\n' | deepmind/math_dataset |
b'Let a(r) be the second derivative of r**3 - 1/10*r**5 + 0*r**2 + 3 + 11/21*r**7 + 6*r + 0*r**4 + 0*r**6. What is the second derivative of a(g) wrt g?\n' | b'440*g**3 - 12*g\n' | b'Let a(r) be the second derivative of r**3 - 1/10*r**5 + 0*r**2 + 3 + 11/21*r**7 + 6*r + 0*r**4 + 0*r**6. What is the second derivative of a(g) wrt g?\n' | b'440*g**3 - 12*g\n' | deepmind/math_dataset |
b'Suppose -2*w = -0*z + 4*z + 14, 0 = 3*w - 2*z + 21. Let i(v) = -v - 5. Determine i(w).\n' | b'2\n' | b'Suppose -2*w = -0*z + 4*z + 14, 0 = 3*w - 2*z + 21. Let i(v) = -v - 5. Determine i(w).\n' | b'2\n' | deepmind/math_dataset |
b'Let c(i) = 6*i**2 + 7*i**2 + i + 9 - 21*i**2 + 7*i**2. Let q be c(-2). Solve -f + 4*g = -g - 21, 0 = 4*f - q*g - 16 for f.\n' | b'1\n' | b'Let c(i) = 6*i**2 + 7*i**2 + i + 9 - 21*i**2 + 7*i**2. Let q be c(-2). Solve -f + 4*g = -g - 21, 0 = 4*f - q*g - 16 for f.\n' | b'1\n' | deepmind/math_dataset |
b'Let j = 77563 - 77559. Let c(s) = 5*s + 1 - s - s - s**2. Calculate c(j).\n' | b'-3\n' | b'Let j = 77563 - 77559. Let c(s) = 5*s + 1 - s - s - s**2. Calculate c(j).\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 1, d: 5, w: 5}. Give prob of picking 2 d.\n' | b'2/11\n' | b'Two letters picked without replacement from {q: 1, d: 5, w: 5}. Give prob of picking 2 d.\n' | b'2/11\n' | deepmind/math_dataset |
b'Suppose -b = 2*b + 15. Let j = 45 + b. Let w be 472/j + 1/5. Solve 0 = 2*v + 5*s - 15, 3*s - w = 3 for v.\n' | b'-5\n' | b'Suppose -b = 2*b + 15. Let j = 45 + b. Let w be 472/j + 1/5. Solve 0 = 2*v + 5*s - 15, 3*s - w = 3 for v.\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {q: 1, b: 5, e: 4, d: 1, m: 1}. What is prob of picking 1 b, 1 q, 1 m, and 1 d?\n' | b'1/99\n' | b'Four letters picked without replacement from {q: 1, b: 5, e: 4, d: 1, m: 1}. What is prob of picking 1 b, 1 q, 1 m, and 1 d?\n' | b'1/99\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {n: 3, h: 3, i: 2, t: 1, o: 9}. Give prob of picking 4 n.\n' | b'0\n' | b'Four letters picked without replacement from {n: 3, h: 3, i: 2, t: 1, o: 9}. Give prob of picking 4 n.\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wwwwawwowww. What is prob of sequence owoo?\n' | b'0\n' | b'Four letters picked without replacement from wwwwawwowww. What is prob of sequence owoo?\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -d + 5*l = 42, -4*d + 7*l = 9*l - 30. Solve 4*k = -3*j + d, -15*j - 5 = -k - 20*j for k.\n' | b'0\n' | b'Suppose -d + 5*l = 42, -4*d + 7*l = 9*l - 30. Solve 4*k = -3*j + d, -15*j - 5 = -k - 20*j for k.\n' | b'0\n' | deepmind/math_dataset |
b'Let m(p) = -p + 10. Let s(j) = -1. Let b(v) = m(v) + 3*s(v). Suppose 0 = -f + 2*h + 14, 0*f = -f - 2*h - 2. Give b(f).\n' | b'1\n' | b'Let m(p) = -p + 10. Let s(j) = -1. Let b(v) = m(v) + 3*s(v). Suppose 0 = -f + 2*h + 14, 0*f = -f - 2*h - 2. Give b(f).\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((r*r**1*r)**(-1)/(r**(-4)*r*r*r**1))**(-2/101) assuming r is positive.\n' | b'r**(4/101)\n' | b'Simplify ((r*r**1*r)**(-1)/(r**(-4)*r*r*r**1))**(-2/101) assuming r is positive.\n' | b'r**(4/101)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from zkllakpopkl. Give prob of picking 2 l and 2 p.\n' | b'1/110\n' | b'Four letters picked without replacement from zkllakpopkl. Give prob of picking 2 l and 2 p.\n' | b'1/110\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ohhhbqlhq. Give prob of picking 1 b and 1 o.\n' | b'1/36\n' | b'Two letters picked without replacement from ohhhbqlhq. Give prob of picking 1 b and 1 o.\n' | b'1/36\n' | deepmind/math_dataset |
b'Let n(q) be the first derivative of -q**4/4 + 4*q**3/3 + 2*q**2 + 4*q - 21232. Let z = 12 - 7. What is n(z)?\n' | b'-1\n' | b'Let n(q) be the first derivative of -q**4/4 + 4*q**3/3 + 2*q**2 + 4*q - 21232. Let z = 12 - 7. What is n(z)?\n' | b'-1\n' | deepmind/math_dataset |
b'Let q(i) be the first derivative of -i**6/15 + i**3/2 + 4*i + 2. Let m(d) be the first derivative of q(d). Find the second derivative of m(l) wrt l.\n' | b'-24*l**2\n' | b'Let q(i) be the first derivative of -i**6/15 + i**3/2 + 4*i + 2. Let m(d) be the first derivative of q(d). Find the second derivative of m(l) wrt l.\n' | b'-24*l**2\n' | deepmind/math_dataset |
b'Suppose 0 = 53*s - 58*s + 200. Suppose f - 56 = -4*m - 3*f, 0 = -5*m + f + s. Suppose 19 = 2*i + m. Solve i*r = 4*q + 8, -2*q - 8 = -4*r + 2*q for r.\n' | b'0\n' | b'Suppose 0 = 53*s - 58*s + 200. Suppose f - 56 = -4*m - 3*f, 0 = -5*m + f + s. Suppose 19 = 2*i + m. Solve i*r = 4*q + 8, -2*q - 8 = -4*r + 2*q for r.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from udmdddddddqd. What is prob of picking 1 u and 1 m?\n' | b'1/66\n' | b'Two letters picked without replacement from udmdddddddqd. What is prob of picking 1 u and 1 m?\n' | b'1/66\n' | deepmind/math_dataset |
b'Simplify ((w**18*w**(-10))/(w**(-24)/w*w*w*w*w**(1/8)*w*w))**7 assuming w is positive.\n' | b'w**(1561/8)\n' | b'Simplify ((w**18*w**(-10))/(w**(-24)/w*w*w*w*w**(1/8)*w*w))**7 assuming w is positive.\n' | b'w**(1561/8)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nbbbzbbzbbzzbbbzbz. What is prob of picking 1 b and 2 z?\n' | b'55/272\n' | b'Three letters picked without replacement from nbbbzbbzbbzzbbbzbz. What is prob of picking 1 b and 2 z?\n' | b'55/272\n' | deepmind/math_dataset |
b'Let f(j) = -j**2 - 12. Let n(t) = -t**2 - 3*t + 4. Suppose -9*d - 23 = 13. Let x be n(d). Determine f(x).\n' | b'-12\n' | b'Let f(j) = -j**2 - 12. Let n(t) = -t**2 - 3*t + 4. Suppose -9*d - 23 = 13. Let x be n(d). Determine f(x).\n' | b'-12\n' | deepmind/math_dataset |
b'Simplify (k*k*k*k*(((k*k*k*(k**5*k)/k*k*k)/k)/k*k)/k*k)/(k/k**(3/7))*((k*((k/k**(-1)*k)/k)/k)/k)**32 assuming k is positive.\n' | b'k**(311/7)\n' | b'Simplify (k*k*k*k*(((k*k*k*(k**5*k)/k*k*k)/k)/k*k)/k*k)/(k/k**(3/7))*((k*((k/k**(-1)*k)/k)/k)/k)**32 assuming k is positive.\n' | b'k**(311/7)\n' | deepmind/math_dataset |
b'What is prob of picking 2 o when two letters picked without replacement from {o: 2, x: 1}?\n' | b'1/3\n' | b'What is prob of picking 2 o when two letters picked without replacement from {o: 2, x: 1}?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let b(v) = 84 + 85 - 248 + 83 + 72*v**2. Let x(k) = k**2 + k - 1. Let w(m) = -b(m) - 4*x(m). What is the second derivative of w(d) wrt d?\n' | b'-152\n' | b'Let b(v) = 84 + 85 - 248 + 83 + 72*v**2. Let x(k) = k**2 + k - 1. Let w(m) = -b(m) - 4*x(m). What is the second derivative of w(d) wrt d?\n' | b'-152\n' | deepmind/math_dataset |
b'What is the third derivative of 1375*a**2 - 857*a**4 + 184*a**4 - 75 - 185 + 259 wrt a?\n' | b'-16152*a\n' | b'What is the third derivative of 1375*a**2 - 857*a**4 + 184*a**4 - 75 - 185 + 259 wrt a?\n' | b'-16152*a\n' | deepmind/math_dataset |
b'Four letters picked without replacement from iiics. Give prob of sequence iiis.\n' | b'1/20\n' | b'Four letters picked without replacement from iiics. Give prob of sequence iiis.\n' | b'1/20\n' | deepmind/math_dataset |
b'Let d = 4679 - 9357/2. Let n(w) be the first derivative of 0*w - d*w**2 - 6. Calculate n(2).\n' | b'-2\n' | b'Let d = 4679 - 9357/2. Let n(w) be the first derivative of 0*w - d*w**2 - 6. Calculate n(2).\n' | b'-2\n' | deepmind/math_dataset |
b'Let t(f) be the third derivative of -71*f**7/105 - 3*f**4/8 - f**3/6 - f**2 - 143*f. Find the second derivative of t(h) wrt h.\n' | b'-1704*h**2\n' | b'Let t(f) be the third derivative of -71*f**7/105 - 3*f**4/8 - f**3/6 - f**2 - 143*f. Find the second derivative of t(h) wrt h.\n' | b'-1704*h**2\n' | deepmind/math_dataset |
b'Let o(h) be the third derivative of 0*h**6 - 4/105*h**7 + 0*h + 0*h**4 + 0*h**3 + 0 + 8*h**2 - 2/5*h**5. What is the third derivative of o(s) wrt s?\n' | b'-192*s\n' | b'Let o(h) be the third derivative of 0*h**6 - 4/105*h**7 + 0*h + 0*h**4 + 0*h**3 + 0 + 8*h**2 - 2/5*h**5. What is the third derivative of o(s) wrt s?\n' | b'-192*s\n' | deepmind/math_dataset |
b'Let x(t) = 8*t**3 + 2*t - t - 21*t**3. Suppose 3*r - 22 = 4*v, -69 = -15*v + 18*v - 11*r. What is x(v)?\n' | b'12\n' | b'Let x(t) = 8*t**3 + 2*t - t - 21*t**3. Suppose 3*r - 22 = 4*v, -69 = -15*v + 18*v - 11*r. What is x(v)?\n' | b'12\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mnmmnm. Give prob of picking 1 n and 1 m.\n' | b'8/15\n' | b'Two letters picked without replacement from mnmmnm. Give prob of picking 1 n and 1 m.\n' | b'8/15\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xxoooyooooxxyxx. Give prob of picking 3 o and 1 y.\n' | b'2/39\n' | b'Four letters picked without replacement from xxoooyooooxxyxx. Give prob of picking 3 o and 1 y.\n' | b'2/39\n' | deepmind/math_dataset |
b'Let r(g) = -16. Let k(z) = -5. Let q(l) = 10*k(l) - 3*r(l). Let h(j) = j + 6. Let n(c) = -2*h(c) - 7*q(c). What is n(3)?\n' | b'-4\n' | b'Let r(g) = -16. Let k(z) = -5. Let q(l) = 10*k(l) - 3*r(l). Let h(j) = j + 6. Let n(c) = -2*h(c) - 7*q(c). What is n(3)?\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence pttt when four letters picked without replacement from pttpptpppt.\n' | b'1/35\n' | b'Calculate prob of sequence pttt when four letters picked without replacement from pttpptpppt.\n' | b'1/35\n' | deepmind/math_dataset |
b'What is prob of picking 2 v and 1 m when three letters picked without replacement from {v: 6, m: 2}?\n' | b'15/28\n' | b'What is prob of picking 2 v and 1 m when three letters picked without replacement from {v: 6, m: 2}?\n' | b'15/28\n' | deepmind/math_dataset |
b'What is prob of sequence fuyy when four letters picked without replacement from {y: 3, u: 1, f: 1}?\n' | b'1/20\n' | b'What is prob of sequence fuyy when four letters picked without replacement from {y: 3, u: 1, f: 1}?\n' | b'1/20\n' | deepmind/math_dataset |
b'Let t(w) = -4 + 5 + 3*w + 14*w - 5*w. Calculate t(1).\n' | b'13\n' | b'Let t(w) = -4 + 5 + 3*w + 14*w - 5*w. Calculate t(1).\n' | b'13\n' | deepmind/math_dataset |
b'Simplify (d**9/d)**49 assuming d is positive.\n' | b'd**392\n' | b'Simplify (d**9/d)**49 assuming d is positive.\n' | b'd**392\n' | deepmind/math_dataset |
b'Simplify t/t**(-1/18)*t/(t/t**(-27)) assuming t is positive.\n' | b't**(-467/18)\n' | b'Simplify t/t**(-1/18)*t/(t/t**(-27)) assuming t is positive.\n' | b't**(-467/18)\n' | deepmind/math_dataset |
b'Let p be -1*0*4/20. Suppose -10*y + 9*y - 13*y = p. Solve 2*x + 3*k = 6, y = 2*k - 4*k for x.\n' | b'3\n' | b'Let p be -1*0*4/20. Suppose -10*y + 9*y - 13*y = p. Solve 2*x + 3*k = 6, y = 2*k - 4*k for x.\n' | b'3\n' | deepmind/math_dataset |
b'Let g(u) = -u**2 - 3*u - 2. Suppose 17*b = 10*b - 14. Calculate g(b).\n' | b'0\n' | b'Let g(u) = -u**2 - 3*u - 2. Suppose 17*b = 10*b - 14. Calculate g(b).\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 s, 2 j, and 1 w when four letters picked without replacement from sssssssssjwwssjwssss.\n' | b'3/323\n' | b'Calculate prob of picking 1 s, 2 j, and 1 w when four letters picked without replacement from sssssssssjwwssjwssss.\n' | b'3/323\n' | deepmind/math_dataset |
b'What is prob of sequence vvfa when four letters picked without replacement from vfffvpffpffpapf?\n' | b'2/4095\n' | b'What is prob of sequence vvfa when four letters picked without replacement from vfffvpffpffpapf?\n' | b'2/4095\n' | deepmind/math_dataset |
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