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 {o: 6, i: 5, t: 4, f: 1}. What is prob of picking 1 o and 2 i?\n' | b'3/28\n' | b'Three letters picked without replacement from {o: 6, i: 5, t: 4, f: 1}. What is prob of picking 1 o and 2 i?\n' | b'3/28\n' | deepmind/math_dataset |
b'Let j(d) = -7*d - 70. Let k be j(-10). Suppose 2*z + 2*o + o - 26 = 0, -3*z + 33 = 3*o. Let n = z + -1. Solve n*q - 18 = q - h, 2*h + 4 = k for q.\n' | b'4\n' | b'Let j(d) = -7*d - 70. Let k be j(-10). Suppose 2*z + 2*o + o - 26 = 0, -3*z + 33 = 3*o. Let n = z + -1. Solve n*q - 18 = q - h, 2*h + 4 = k for q.\n' | b'4\n' | deepmind/math_dataset |
b'Let y(j) = 7*j - 74. Let b be y(11). Let x be (-9)/(-6)*8/6. Let r(f) = 1 + 1 + 3 - 6 - x*f. Give r(b).\n' | b'-7\n' | b'Let y(j) = 7*j - 74. Let b be y(11). Let x be (-9)/(-6)*8/6. Let r(f) = 1 + 1 + 3 - 6 - x*f. Give r(b).\n' | b'-7\n' | deepmind/math_dataset |
b'Let n(i) = i**3 + 6*i**2 - 2*i - 6. Let r be n(-6). What is the third derivative of -l**r + 2*l**2 + 0*l**2 - 6*l**2 wrt l?\n' | b'-120*l**3\n' | b'Let n(i) = i**3 + 6*i**2 - 2*i - 6. Let r be n(-6). What is the third derivative of -l**r + 2*l**2 + 0*l**2 - 6*l**2 wrt l?\n' | b'-120*l**3\n' | deepmind/math_dataset |
b'Suppose -4*j + 16 = -3*c, j = -0*c + 4*c + 4. Suppose 5*d - b + 14 = c, 2 = -b - b. Let r(t) = t**3 + 5*t**2 + 3*t - 2. Determine r(d).\n' | b'7\n' | b'Suppose -4*j + 16 = -3*c, j = -0*c + 4*c + 4. Suppose 5*d - b + 14 = c, 2 = -b - b. Let r(t) = t**3 + 5*t**2 + 3*t - 2. Determine r(d).\n' | b'7\n' | deepmind/math_dataset |
b'Let o(h) be the first derivative of -43*h**5/5 - 2*h + 60. What is the derivative of o(j) wrt j?\n' | b'-172*j**3\n' | b'Let o(h) be the first derivative of -43*h**5/5 - 2*h + 60. What is the derivative of o(j) wrt j?\n' | b'-172*j**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 3, u: 2, g: 3, q: 1, c: 1}. Give prob of sequence lg.\n' | b'1/10\n' | b'Two letters picked without replacement from {l: 3, u: 2, g: 3, q: 1, c: 1}. Give prob of sequence lg.\n' | b'1/10\n' | deepmind/math_dataset |
b'Suppose b - 18 = -4. Suppose 3*r - 5*r = -b. Let f be (-32)/(-18) + r*4/126. Let n(k) = 3*k**2 - 3*k. Determine n(f).\n' | b'6\n' | b'Suppose b - 18 = -4. Suppose 3*r - 5*r = -b. Let f be (-32)/(-18) + r*4/126. Let n(k) = 3*k**2 - 3*k. Determine n(f).\n' | b'6\n' | deepmind/math_dataset |
b'Let s(b) = b**2 + b - 5. Let w(n) = n**2 - 4. Let x(t) = -3*s(t) + 2*w(t). Let q be x(3). Let y(l) = -l - 2. Determine y(q).\n' | b'9\n' | b'Let s(b) = b**2 + b - 5. Let w(n) = n**2 - 4. Let x(t) = -3*s(t) + 2*w(t). Let q be x(3). Let y(l) = -l - 2. Determine y(q).\n' | b'9\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ssssssns. What is prob of picking 1 s and 2 n?\n' | b'0\n' | b'Three letters picked without replacement from ssssssns. What is prob of picking 1 s and 2 n?\n' | b'0\n' | deepmind/math_dataset |
b'Let a(z) = 14*z + 5. Let w be a(0). Let n(l) = 3*l**2 - 7*l - 1. What is n(w)?\n' | b'39\n' | b'Let a(z) = 14*z + 5. Let w be a(0). Let n(l) = 3*l**2 - 7*l - 1. What is n(w)?\n' | b'39\n' | deepmind/math_dataset |
b'What is prob of sequence rnnn when four letters picked without replacement from acncrlaalacaahnhcln?\n' | b'1/15504\n' | b'What is prob of sequence rnnn when four letters picked without replacement from acncrlaalacaahnhcln?\n' | b'1/15504\n' | deepmind/math_dataset |
b'Calculate prob of sequence giid when four letters picked without replacement from {m: 4, i: 2, g: 1, d: 7}.\n' | b'1/1716\n' | b'Calculate prob of sequence giid when four letters picked without replacement from {m: 4, i: 2, g: 1, d: 7}.\n' | b'1/1716\n' | deepmind/math_dataset |
b'Let g(m) be the second derivative of m**6/2 + 3*m**3/2 + 17*m. Find the second derivative of g(y) wrt y.\n' | b'180*y**2\n' | b'Let g(m) be the second derivative of m**6/2 + 3*m**3/2 + 17*m. Find the second derivative of g(y) wrt y.\n' | b'180*y**2\n' | deepmind/math_dataset |
b'What is the derivative of 3*j**3 + 49 - 82*j + 76*j + 19 wrt j?\n' | b'9*j**2 - 6\n' | b'What is the derivative of 3*j**3 + 49 - 82*j + 76*j + 19 wrt j?\n' | b'9*j**2 - 6\n' | deepmind/math_dataset |
b'Let j(i) = -i**3 + 2*i**2 + 2*i - 1. Let b(l) = -l**4 - 12*l**3 + 2*l**2 + 2*l - 173. Let h(o) = b(o) - j(o). Differentiate h(c) with respect to c.\n' | b'-4*c**3 - 33*c**2\n' | b'Let j(i) = -i**3 + 2*i**2 + 2*i - 1. Let b(l) = -l**4 - 12*l**3 + 2*l**2 + 2*l - 173. Let h(o) = b(o) - j(o). Differentiate h(c) with respect to c.\n' | b'-4*c**3 - 33*c**2\n' | deepmind/math_dataset |
b'Let m(h) = -12*h + 18. Let i(l) = -6*l + 9. Let n(x) = 5*i(x) - 3*m(x). Find the first derivative of n(v) wrt v.\n' | b'6\n' | b'Let m(h) = -12*h + 18. Let i(l) = -6*l + 9. Let n(x) = 5*i(x) - 3*m(x). Find the first derivative of n(v) wrt v.\n' | b'6\n' | deepmind/math_dataset |
b'Let l(x) be the first derivative of -7861*x**6/6 - 12453*x**2/2 - 8024. Find the second derivative of l(s) wrt s.\n' | b'-157220*s**3\n' | b'Let l(x) be the first derivative of -7861*x**6/6 - 12453*x**2/2 - 8024. Find the second derivative of l(s) wrt s.\n' | b'-157220*s**3\n' | deepmind/math_dataset |
b'What is prob of picking 1 i, 1 m, and 2 k when four letters picked without replacement from imiikkkkiiikki?\n' | b'15/143\n' | b'What is prob of picking 1 i, 1 m, and 2 k when four letters picked without replacement from imiikkkkiiikki?\n' | b'15/143\n' | deepmind/math_dataset |
b'Suppose 0 - 4 = 2*p. Let c be (-1)/(-1 - p) + 13. Let x = -15 + c. Let i(f) = 4*f + 3. Calculate i(x).\n' | b'-9\n' | b'Suppose 0 - 4 = 2*p. Let c be (-1)/(-1 - p) + 13. Let x = -15 + c. Let i(f) = 4*f + 3. Calculate i(x).\n' | b'-9\n' | deepmind/math_dataset |
b'What is prob of sequence oof when three letters picked without replacement from offgfgfggfofgf?\n' | b'1/156\n' | b'What is prob of sequence oof when three letters picked without replacement from offgfgfggfofgf?\n' | b'1/156\n' | deepmind/math_dataset |
b'What is prob of sequence kkx when three letters picked without replacement from {r: 9, k: 4, y: 3, x: 4}?\n' | b'2/285\n' | b'What is prob of sequence kkx when three letters picked without replacement from {r: 9, k: 4, y: 3, x: 4}?\n' | b'2/285\n' | deepmind/math_dataset |
b'What is prob of picking 3 x when three letters picked without replacement from {x: 4, f: 6, j: 3}?\n' | b'2/143\n' | b'What is prob of picking 3 x when three letters picked without replacement from {x: 4, f: 6, j: 3}?\n' | b'2/143\n' | deepmind/math_dataset |
b'Two letters picked without replacement from lmmpllm. Give prob of sequence pm.\n' | b'1/14\n' | b'Two letters picked without replacement from lmmpllm. Give prob of sequence pm.\n' | b'1/14\n' | deepmind/math_dataset |
b'Suppose -4*y - 3*j = 15, -4*y + 2*j = -9*y - 10. Solve 0 = -3*i - 3*x + 24, -2*i + 11 = -y*i + x for i.\n' | b'3\n' | b'Suppose -4*y - 3*j = 15, -4*y + 2*j = -9*y - 10. Solve 0 = -3*i - 3*x + 24, -2*i + 11 = -y*i + x for i.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -6 = -4*s + 10. Let v be 10*s/16*2. Find the second derivative of 16*k + 20*k**5 + 7*k**5 + v*k wrt k.\n' | b'540*k**3\n' | b'Suppose -6 = -4*s + 10. Let v be 10*s/16*2. Find the second derivative of 16*k + 20*k**5 + 7*k**5 + v*k wrt k.\n' | b'540*k**3\n' | deepmind/math_dataset |
b'Simplify ((m*(m*m**11)/m*m**5*m)**23)**41 assuming m is positive.\n' | b'm**16974\n' | b'Simplify ((m*(m*m**11)/m*m**5*m)**23)**41 assuming m is positive.\n' | b'm**16974\n' | deepmind/math_dataset |
b'What is prob of sequence iffp when four letters picked without replacement from ijlllffflfplfljl?\n' | b'1/2184\n' | b'What is prob of sequence iffp when four letters picked without replacement from ijlllffflfplfljl?\n' | b'1/2184\n' | deepmind/math_dataset |
b'Simplify ((f**13/f)/f*f**(3/13)*f)**(-6/19)*(f**(6/5)/(f*f**(-5)*f))/((f/f**(5/6))/f**(-6)) assuming f is positive.\n' | b'f**(-43193/7410)\n' | b'Simplify ((f**13/f)/f*f**(3/13)*f)**(-6/19)*(f**(6/5)/(f*f**(-5)*f))/((f/f**(5/6))/f**(-6)) assuming f is positive.\n' | b'f**(-43193/7410)\n' | deepmind/math_dataset |
b'Let o = 223 - 221. Let r be (o/1)/(9/(-90)*-5). Solve 5*h + 0*f - 1 = f, -r*f = -16 for h.\n' | b'1\n' | b'Let o = 223 - 221. Let r be (o/1)/(9/(-90)*-5). Solve 5*h + 0*f - 1 = f, -r*f = -16 for h.\n' | b'1\n' | deepmind/math_dataset |
b'Let s(y) be the third derivative of -y**6/40 + 7*y**5/12 + 11*y**4/24 - y**3/6 - 11*y**2. Find the second derivative of s(g) wrt g.\n' | b'-18*g + 70\n' | b'Let s(y) be the third derivative of -y**6/40 + 7*y**5/12 + 11*y**4/24 - y**3/6 - 11*y**2. Find the second derivative of s(g) wrt g.\n' | b'-18*g + 70\n' | deepmind/math_dataset |
b'What is prob of sequence qca when three letters picked without replacement from {h: 1, a: 1, q: 2, n: 1, g: 2, c: 2}?\n' | b'1/126\n' | b'What is prob of sequence qca when three letters picked without replacement from {h: 1, a: 1, q: 2, n: 1, g: 2, c: 2}?\n' | b'1/126\n' | deepmind/math_dataset |
b'What is prob of picking 1 m and 2 p when three letters picked without replacement from {m: 1, p: 19}?\n' | b'3/20\n' | b'What is prob of picking 1 m and 2 p when three letters picked without replacement from {m: 1, p: 19}?\n' | b'3/20\n' | deepmind/math_dataset |
b'Four letters picked without replacement from arjjayrjyrj. What is prob of picking 1 j and 3 r?\n' | b'2/165\n' | b'Four letters picked without replacement from arjjayrjyrj. What is prob of picking 1 j and 3 r?\n' | b'2/165\n' | deepmind/math_dataset |
b'Let j = 13 - 11. Suppose -u + 18 = j*u. Solve -x = -5*x + 5*v - 27, -v = 3*x + u for x.\n' | b'-3\n' | b'Let j = 13 - 11. Suppose -u + 18 = j*u. Solve -x = -5*x + 5*v - 27, -v = 3*x + u for x.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence mrdm when four letters picked without replacement from msrssbmbsbbsbdbrffr?\n' | b'1/15504\n' | b'What is prob of sequence mrdm when four letters picked without replacement from msrssbmbsbbsbdbrffr?\n' | b'1/15504\n' | deepmind/math_dataset |
b'Let b(x) = -x**3 - 6*x**2 + 6*x - 10. Let p be b(-7). Let o be (-2)/p*(-18)/(-3). Let u(q) = -4 + o - q + 8. What is u(0)?\n' | b'8\n' | b'Let b(x) = -x**3 - 6*x**2 + 6*x - 10. Let p be b(-7). Let o be (-2)/p*(-18)/(-3). Let u(q) = -4 + o - q + 8. What is u(0)?\n' | b'8\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 1, k: 3, m: 4, a: 1, q: 2}. Give prob of picking 1 q, 1 l, and 2 m.\n' | b'2/55\n' | b'Four letters picked without replacement from {l: 1, k: 3, m: 4, a: 1, q: 2}. Give prob of picking 1 q, 1 l, and 2 m.\n' | b'2/55\n' | deepmind/math_dataset |
b'Suppose -17*k = -12*k - 10. Solve 5*f = 3*n + 21, 3*n + 3 = k*f - 9 for n.\n' | b'-2\n' | b'Suppose -17*k = -12*k - 10. Solve 5*f = 3*n + 21, 3*n + 3 = k*f - 9 for n.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 w when two letters picked without replacement from {w: 6, u: 13}.\n' | b'5/57\n' | b'Calculate prob of picking 2 w when two letters picked without replacement from {w: 6, u: 13}.\n' | b'5/57\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 o when two letters picked without replacement from oococooooccoooooooo.\n' | b'35/57\n' | b'Calculate prob of picking 2 o when two letters picked without replacement from oococooooccoooooooo.\n' | b'35/57\n' | deepmind/math_dataset |
b'Suppose -37*v + 5*k - 35 = -41*v, 5 = 4*v - 5*k. Solve -3*q = 14*f - 15*f - 11, v*q - 5 = -f for f.\n' | b'-5\n' | b'Suppose -37*v + 5*k - 35 = -41*v, 5 = 4*v - 5*k. Solve -3*q = 14*f - 15*f - 11, v*q - 5 = -f for f.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of sequence uwm when three letters picked without replacement from {s: 2, u: 3, g: 1, x: 3, w: 5, m: 1}?\n' | b'1/182\n' | b'What is prob of sequence uwm when three letters picked without replacement from {s: 2, u: 3, g: 1, x: 3, w: 5, m: 1}?\n' | b'1/182\n' | deepmind/math_dataset |
b'Three letters picked without replacement from wggooicocgggooogg. What is prob of picking 1 c and 2 o?\n' | b'3/68\n' | b'Three letters picked without replacement from wggooicocgggooogg. What is prob of picking 1 c and 2 o?\n' | b'3/68\n' | deepmind/math_dataset |
b'Let h(k) = -k**2 + k. Let a(j) = -6*j**3 + 3*j**2 - 2*j. Let y(x) = a(x) + 2*h(x). What is the third derivative of y(b) wrt b?\n' | b'-36\n' | b'Let h(k) = -k**2 + k. Let a(j) = -6*j**3 + 3*j**2 - 2*j. Let y(x) = a(x) + 2*h(x). What is the third derivative of y(b) wrt b?\n' | b'-36\n' | deepmind/math_dataset |
b'Let z(d) be the first derivative of 3/5*d**5 - d + 2 + 0*d**4 + 0*d**2 + 0*d**3. Differentiate z(m) wrt m.\n' | b'12*m**3\n' | b'Let z(d) be the first derivative of 3/5*d**5 - d + 2 + 0*d**4 + 0*d**2 + 0*d**3. Differentiate z(m) wrt m.\n' | b'12*m**3\n' | deepmind/math_dataset |
b'Let o(d) = 5*d**3 - 116*d**2 + 24*d - 20. Let l be o(23). Solve 3*c - 5 = -4*q, 3*c + 2*q + l*q = 4 for c.\n' | b'3\n' | b'Let o(d) = 5*d**3 - 116*d**2 + 24*d - 20. Let l be o(23). Solve 3*c - 5 = -4*q, 3*c + 2*q + l*q = 4 for c.\n' | b'3\n' | deepmind/math_dataset |
b'Let j(f) = -f**3 - f**2 + 4*f - 3. Suppose -i - 18 = 5*a, -a - 3*a = 4*i + 8. What is j(i)?\n' | b'-7\n' | b'Let j(f) = -f**3 - f**2 + 4*f - 3. Suppose -i - 18 = 5*a, -a - 3*a = 4*i + 8. What is j(i)?\n' | b'-7\n' | deepmind/math_dataset |
b'Suppose -2*x + 2*v + 0*v + 16 = 0, 3*x + 3*v = -6. Solve -x = 2*h + 3, -4*h = -5*r + 27 for r.\n' | b'3\n' | b'Suppose -2*x + 2*v + 0*v + 16 = 0, 3*x + 3*v = -6. Solve -x = 2*h + 3, -4*h = -5*r + 27 for r.\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from alollahhahlltllta. What is prob of picking 1 l and 3 h?\n' | b'1/340\n' | b'Four letters picked without replacement from alollahhahlltllta. What is prob of picking 1 l and 3 h?\n' | b'1/340\n' | deepmind/math_dataset |
b'Simplify ((i**1*i**(2/9)/i*i)/(i*i**(-1/2))**(5/12))**(-2/111) assuming i is positive.\n' | b'i**(-73/3996)\n' | b'Simplify ((i**1*i**(2/9)/i*i)/(i*i**(-1/2))**(5/12))**(-2/111) assuming i is positive.\n' | b'i**(-73/3996)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 1, p: 1, o: 1, i: 2, b: 1, f: 1}. Give prob of picking 1 o and 1 f.\n' | b'1/21\n' | b'Two letters picked without replacement from {h: 1, p: 1, o: 1, i: 2, b: 1, f: 1}. Give prob of picking 1 o and 1 f.\n' | b'1/21\n' | deepmind/math_dataset |
b'Let d be (-86)/(-8) - (-39)/(-52). Solve -d = -z + 3*t - 12, z = 2*t for z.\n' | b'4\n' | b'Let d be (-86)/(-8) - (-39)/(-52). Solve -d = -z + 3*t - 12, z = 2*t for z.\n' | b'4\n' | deepmind/math_dataset |
b'Let k be (-2*1/2)/((-175)/21 + 8). Let a(t) be the second derivative of 17*t - 1/3*t**4 + 1/2*t**k - 1/2*t**2 - 1/20*t**5 + 0. What is a(-5)?\n' | b'9\n' | b'Let k be (-2*1/2)/((-175)/21 + 8). Let a(t) be the second derivative of 17*t - 1/3*t**4 + 1/2*t**k - 1/2*t**2 - 1/20*t**5 + 0. What is a(-5)?\n' | b'9\n' | deepmind/math_dataset |
b'What is prob of sequence ww when two letters picked without replacement from {y: 2, l: 2, w: 3, k: 6, m: 4}?\n' | b'3/136\n' | b'What is prob of sequence ww when two letters picked without replacement from {y: 2, l: 2, w: 3, k: 6, m: 4}?\n' | b'3/136\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 l, 1 j, and 1 w when four letters picked without replacement from {w: 9, j: 1, l: 4}.\n' | b'54/1001\n' | b'Calculate prob of picking 2 l, 1 j, and 1 w when four letters picked without replacement from {w: 9, j: 1, l: 4}.\n' | b'54/1001\n' | deepmind/math_dataset |
b'Let l(i) = 5*i - 18 - 3*i**2 + 12 - i**3 - 2*i. Let g(w) = 2*w**3 + 2*w**2 - 2*w + 5. Let q(c) = -3*g(c) - 2*l(c). What is the derivative of q(b) wrt b?\n' | b'-12*b**2\n' | b'Let l(i) = 5*i - 18 - 3*i**2 + 12 - i**3 - 2*i. Let g(w) = 2*w**3 + 2*w**2 - 2*w + 5. Let q(c) = -3*g(c) - 2*l(c). What is the derivative of q(b) wrt b?\n' | b'-12*b**2\n' | deepmind/math_dataset |
b'Let d(q) be the first derivative of -q**3/3 + 3*q**2/2 + 3*q - 270. Let l(b) = b**3 + 3*b**2 - b + 1. Let i be l(-3). Determine d(i).\n' | b'-1\n' | b'Let d(q) be the first derivative of -q**3/3 + 3*q**2/2 + 3*q - 270. Let l(b) = b**3 + 3*b**2 - b + 1. Let i be l(-3). Determine d(i).\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -2*c - 3 = c. Let j be (0 + -2)*-1 - c. Find the third derivative of b**4 - b**4 - j*b**4 + b**2 + b**2 wrt b.\n' | b'-72*b\n' | b'Suppose -2*c - 3 = c. Let j be (0 + -2)*-1 - c. Find the third derivative of b**4 - b**4 - j*b**4 + b**2 + b**2 wrt b.\n' | b'-72*b\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 l, 2 f, and 1 w when four letters picked without replacement from wfwuwzwlufnu.\n' | b'4/495\n' | b'Calculate prob of picking 1 l, 2 f, and 1 w when four letters picked without replacement from wfwuwzwlufnu.\n' | b'4/495\n' | deepmind/math_dataset |
b'What is prob of picking 1 t and 1 o when two letters picked without replacement from {s: 1, o: 1, t: 1}?\n' | b'1/3\n' | b'What is prob of picking 1 t and 1 o when two letters picked without replacement from {s: 1, o: 1, t: 1}?\n' | b'1/3\n' | deepmind/math_dataset |
b'Simplify ((b**2/b)/b**(-2/11)*(b**(-1)/b)**(-19))/(b**6/(b/(b/b**(3/8))))**(-8/15) assuming b is positive.\n' | b'b**(464/11)\n' | b'Simplify ((b**2/b)/b**(-2/11)*(b**(-1)/b)**(-19))/(b**6/(b/(b/b**(3/8))))**(-8/15) assuming b is positive.\n' | b'b**(464/11)\n' | deepmind/math_dataset |
b'Let b = -4 + 8. Find the third derivative of 2*r**3 - b*r**3 - 8*r**4 + 7*r**2 + 2*r**3 wrt r.\n' | b'-192*r\n' | b'Let b = -4 + 8. Find the third derivative of 2*r**3 - b*r**3 - 8*r**4 + 7*r**2 + 2*r**3 wrt r.\n' | b'-192*r\n' | deepmind/math_dataset |
b'What is prob of picking 2 k and 1 j when three letters picked without replacement from jjjjkkjjj?\n' | b'1/12\n' | b'What is prob of picking 2 k and 1 j when three letters picked without replacement from jjjjkkjjj?\n' | b'1/12\n' | deepmind/math_dataset |
b'Simplify ((c**20/c)/c)/c**(-20) assuming c is positive.\n' | b'c**38\n' | b'Simplify ((c**20/c)/c)/c**(-20) assuming c is positive.\n' | b'c**38\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b, 1 h, and 2 l when four letters picked without replacement from {b: 1, l: 2, d: 3, h: 4}.\n' | b'2/105\n' | b'Calculate prob of picking 1 b, 1 h, and 2 l when four letters picked without replacement from {b: 1, l: 2, d: 3, h: 4}.\n' | b'2/105\n' | deepmind/math_dataset |
b'Calculate prob of sequence whuw when four letters picked without replacement from {h: 3, m: 6, u: 3, w: 1, f: 1}.\n' | b'0\n' | b'Calculate prob of sequence whuw when four letters picked without replacement from {h: 3, m: 6, u: 3, w: 1, f: 1}.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify v**7*v**0*(v/v**10)**(-34/5) assuming v is positive.\n' | b'v**(341/5)\n' | b'Simplify v**7*v**0*(v/v**10)**(-34/5) assuming v is positive.\n' | b'v**(341/5)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 n when two letters picked without replacement from qlqqqqnqqnlqq.\n' | b'1/78\n' | b'Calculate prob of picking 2 n when two letters picked without replacement from qlqqqqnqqnlqq.\n' | b'1/78\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 6, g: 2, k: 2, z: 1, h: 1}. What is prob of picking 1 g and 1 z?\n' | b'1/33\n' | b'Two letters picked without replacement from {i: 6, g: 2, k: 2, z: 1, h: 1}. What is prob of picking 1 g and 1 z?\n' | b'1/33\n' | deepmind/math_dataset |
b'Simplify ((r*r**(-1/4))/r**(3/7))**(12/5)*(r**3*r**5/r)/(r*((r/r**1)/r)/r*r*r*r/((r*((((r*r**(-1/4)/r*r)/r)/r)/r)/r*r)/r)*r) assuming r is positive.\n' | b'r**(353/140)\n' | b'Simplify ((r*r**(-1/4))/r**(3/7))**(12/5)*(r**3*r**5/r)/(r*((r/r**1)/r)/r*r*r*r/((r*((((r*r**(-1/4)/r*r)/r)/r)/r)/r*r)/r)*r) assuming r is positive.\n' | b'r**(353/140)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zobzzzozzzzzzoz. What is prob of sequence bo?\n' | b'1/70\n' | b'Two letters picked without replacement from zobzzzozzzzzzoz. What is prob of sequence bo?\n' | b'1/70\n' | deepmind/math_dataset |
b'What is prob of sequence wyxf when four letters picked without replacement from yxxyywxxyxkfxwxx?\n' | b'2/1365\n' | b'What is prob of sequence wyxf when four letters picked without replacement from yxxyywxxyxkfxwxx?\n' | b'2/1365\n' | deepmind/math_dataset |
b'Let h(x) = 13*x**2 + 20*x. Let q(n) = -3*n**2 - 5*n. Let d(k) = 2*h(k) + 9*q(k). Let y(a) = a**3 + 1. Let l be y(3). Let o be 2 + l/(-8)*2. Determine d(o).\n' | b'0\n' | b'Let h(x) = 13*x**2 + 20*x. Let q(n) = -3*n**2 - 5*n. Let d(k) = 2*h(k) + 9*q(k). Let y(a) = a**3 + 1. Let l be y(3). Let o be 2 + l/(-8)*2. Determine d(o).\n' | b'0\n' | deepmind/math_dataset |
b'Let g(p) = -2*p**4 + p**2 - p. Let b(m) = -85*m**4 - 76*m**2 - 6*m. Let s(u) = b(u) - 6*g(u). Find the third derivative of s(v) wrt v.\n' | b'-1752*v\n' | b'Let g(p) = -2*p**4 + p**2 - p. Let b(m) = -85*m**4 - 76*m**2 - 6*m. Let s(u) = b(u) - 6*g(u). Find the third derivative of s(v) wrt v.\n' | b'-1752*v\n' | deepmind/math_dataset |
b'Simplify x**1/(x*x**(-16)) assuming x is positive.\n' | b'x**16\n' | b'Simplify x**1/(x*x**(-16)) assuming x is positive.\n' | b'x**16\n' | deepmind/math_dataset |
b'Let h be 62*(26/(-4) + 7). Find the second derivative of -h*v**2 + 4261*v + 3*v**2 + 2 - 4265*v wrt v.\n' | b'-56\n' | b'Let h be 62*(26/(-4) + 7). Find the second derivative of -h*v**2 + 4261*v + 3*v**2 + 2 - 4265*v wrt v.\n' | b'-56\n' | deepmind/math_dataset |
b'Let s be 26/(-52) + 18/4. Let p be (s + 66/(-21))*14/4. Let u(v) = -v**3 + 3*v**2 + v + 3. Give u(p).\n' | b'6\n' | b'Let s be 26/(-52) + 18/4. Let p be (s + 66/(-21))*14/4. Let u(v) = -v**3 + 3*v**2 + v + 3. Give u(p).\n' | b'6\n' | deepmind/math_dataset |
b'Let i = 8 - 5. Suppose -h - 2*h - 21 = -i*l, -5*h - 11 = 3*l. Solve 3*c + v = 12, -v = -3*c + l*v - 3 for c.\n' | b'3\n' | b'Let i = 8 - 5. Suppose -h - 2*h - 21 = -i*l, -5*h - 11 = 3*l. Solve 3*c + v = 12, -v = -3*c + l*v - 3 for c.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -5*d + 3*d = -16. Find the third derivative of d*l**3 + 9*l**3 - 12*l**3 - 3*l**2 wrt l.\n' | b'30\n' | b'Suppose -5*d + 3*d = -16. Find the third derivative of d*l**3 + 9*l**3 - 12*l**3 - 3*l**2 wrt l.\n' | b'30\n' | deepmind/math_dataset |
b'Simplify (((r**(-1/3))**(11/9))**(2/79))**(-49) assuming r is positive.\n' | b'r**(1078/2133)\n' | b'Simplify (((r**(-1/3))**(11/9))**(2/79))**(-49) assuming r is positive.\n' | b'r**(1078/2133)\n' | deepmind/math_dataset |
b'Let r be (-1 - -3)*1320/48. Suppose 1 + r = 8*l. Solve 4*h + 2*j = -14, 2*j - 6 - l = 5*h for h.\n' | b'-3\n' | b'Let r be (-1 - -3)*1320/48. Suppose 1 + r = 8*l. Solve 4*h + 2*j = -14, 2*j - 6 - l = 5*h for h.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 l and 2 q when three letters picked without replacement from qqql.\n' | b'3/4\n' | b'Calculate prob of picking 1 l and 2 q when three letters picked without replacement from qqql.\n' | b'3/4\n' | deepmind/math_dataset |
b'What is prob of sequence jbuv when four letters picked without replacement from {u: 2, b: 1, v: 2, j: 1, e: 1, r: 1}?\n' | b'1/420\n' | b'What is prob of sequence jbuv when four letters picked without replacement from {u: 2, b: 1, v: 2, j: 1, e: 1, r: 1}?\n' | b'1/420\n' | deepmind/math_dataset |
b'Let a(t) be the third derivative of 1/24*t**4 + 0*t + 0 - 4*t**2 + 1/6*t**3. Calculate a(-3).\n' | b'-2\n' | b'Let a(t) be the third derivative of 1/24*t**4 + 0*t + 0 - 4*t**2 + 1/6*t**3. Calculate a(-3).\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify q*q/q**1*(q**6/q)/q*q**(2/5)*q*q*(q/(q/(q*q*q**6*q*q*q))*q)/q*(q**4*q**(-3/4)/q*q*q*q*q)**17 assuming q is positive.\n' | b'q**(2493/20)\n' | b'Simplify q*q/q**1*(q**6/q)/q*q**(2/5)*q*q*(q/(q/(q*q*q**6*q*q*q))*q)/q*(q**4*q**(-3/4)/q*q*q*q*q)**17 assuming q is positive.\n' | b'q**(2493/20)\n' | deepmind/math_dataset |
b'Let r(l) be the first derivative of -l**5/30 + l**4/24 - 4*l**2 + 5. Let p(n) be the second derivative of r(n). What is the second derivative of p(y) wrt y?\n' | b'-4\n' | b'Let r(l) be the first derivative of -l**5/30 + l**4/24 - 4*l**2 + 5. Let p(n) be the second derivative of r(n). What is the second derivative of p(y) wrt y?\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 1 q when two letters picked without replacement from qea?\n' | b'1/3\n' | b'What is prob of picking 1 e and 1 q when two letters picked without replacement from qea?\n' | b'1/3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gwuereu. Give prob of sequence rw.\n' | b'1/42\n' | b'Two letters picked without replacement from gwuereu. Give prob of sequence rw.\n' | b'1/42\n' | deepmind/math_dataset |
b'Let q = 46 - 32. Let h = -31 - -21. Let r = h + q. Solve 0 = 2*x - 2, -2*g + 7 = x - r for g.\n' | b'5\n' | b'Let q = 46 - 32. Let h = -31 - -21. Let r = h + q. Solve 0 = 2*x - 2, -2*g + 7 = x - r for g.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of picking 2 w when two letters picked without replacement from {w: 3, m: 5}?\n' | b'3/28\n' | b'What is prob of picking 2 w when two letters picked without replacement from {w: 3, m: 5}?\n' | b'3/28\n' | deepmind/math_dataset |
b'Calculate prob of sequence jsiq when four letters picked without replacement from {j: 3, s: 1, y: 1, i: 3, q: 3}.\n' | b'3/880\n' | b'Calculate prob of sequence jsiq when four letters picked without replacement from {j: 3, s: 1, y: 1, i: 3, q: 3}.\n' | b'3/880\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 l when three letters picked without replacement from {l: 6}.\n' | b'1\n' | b'Calculate prob of picking 3 l when three letters picked without replacement from {l: 6}.\n' | b'1\n' | deepmind/math_dataset |
b'Let v(o) = 3*o**2 + 2*o - 2. Suppose 0*f = -3*f - 6. Calculate v(f).\n' | b'6\n' | b'Let v(o) = 3*o**2 + 2*o - 2. Suppose 0*f = -3*f - 6. Calculate v(f).\n' | b'6\n' | deepmind/math_dataset |
b'Suppose w - 4*f = -4, -f = 2*w + 2*f - 25. Let o = 11 - w. Differentiate -2*p**o + 2*p - 2*p - 2 - 1 wrt p.\n' | b'-6*p**2\n' | b'Suppose w - 4*f = -4, -f = 2*w + 2*f - 25. Let o = 11 - w. Differentiate -2*p**o + 2*p - 2*p - 2 - 1 wrt p.\n' | b'-6*p**2\n' | deepmind/math_dataset |
b'Let d be 2 + ((-5)/1 - 2). Let f(k) be the third derivative of k**6/120 + k**5/15 - k**4/4 + k**3/3 - 7*k**2. What is f(d)?\n' | b'7\n' | b'Let d be 2 + ((-5)/1 - 2). Let f(k) be the third derivative of k**6/120 + k**5/15 - k**4/4 + k**3/3 - 7*k**2. What is f(d)?\n' | b'7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 9, m: 2}. What is prob of picking 3 n?\n' | b'28/55\n' | b'Three letters picked without replacement from {n: 9, m: 2}. What is prob of picking 3 n?\n' | b'28/55\n' | deepmind/math_dataset |
b'Suppose -2*v = 2*v. Let m = 0 - v. Suppose 0 = -m*n - 3*n. Solve 0 = -2*a - p - 4, a + n*p + 11 = 4*p for a.\n' | b'-3\n' | b'Suppose -2*v = 2*v. Let m = 0 - v. Suppose 0 = -m*n - 3*n. Solve 0 = -2*a - p - 4, a + n*p + 11 = 4*p for a.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence zzzz when four letters picked without replacement from {z: 6}?\n' | b'1\n' | b'What is prob of sequence zzzz when four letters picked without replacement from {z: 6}?\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence ek when two letters picked without replacement from ekkm?\n' | b'1/6\n' | b'What is prob of sequence ek when two letters picked without replacement from ekkm?\n' | b'1/6\n' | deepmind/math_dataset |
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