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Let p(k) = k**3 + 11*k**2 - 5*k - 4. Suppose 0 = 5*l - 83 + 13. Suppose 5*u = -l - 41. Is p(u) a composite number?
True
Let b(d) be the first derivative of -d**3 - 10*d + 1. Let m be b(-7). Let q = m + 272. Is q a prime number?
False
Let h(m) = 2*m - 12. Let j be h(9). Let k(i) be the second derivative of 5*i**4/12 + 2*i**3/3 - i**2/2 - 15*i. Is k(j) composite?
True
Suppose 2*i = 3*t + 11, -5*t - 16 = -i - 0. Is 658 + i*(-9)/((-9)/4) prime?
False
Suppose -5*w + 0*s + 1783 = -2*s, -5*w + 1795 = -5*s. Let g = -235 + 29. Let j = w + g. Is j a composite number?
False
Let q(p) = 12*p + 21. Let y be q(11). Suppose 3*h - y = 2*d, 115 = 2*h - 0*h + 3*d. Is h a prime number?
True
Let p = -16 - -17. Let h(q) = q - 18. Let y(r) = -r + 1. Let m(c) = p*h(c) - 6*y(c). Is m(7) a prime number?
False
Suppose 2*v + 2*n + 5 = -3*v, -4*v = -5*n - 29. Is -1*((v - 2) + -200) a prime number?
False
Let d be 1/(-1)*(-6 + 13). Let n be 2/d - (-2179)/7. Let k = n + -196. Is k prime?
False
Is 3/6*1*(1250 - -8) prime?
False
Is (-6 - (-8351)/14)/(1/6) a prime number?
False
Suppose -2*a + 99 = -6*a + s, -2*a + 3*s - 57 = 0. Let r be (-4)/a*-3*28. Is 2/7 + (-1354)/r a prime number?
True
Suppose -5*m + 34136 = -35319. Is m a prime number?
False
Let p = 8420 + -4485. Suppose 5*y - 4*y = -p. Is 2/(-5) - y/25 a prime number?
True
Suppose k - 2*k + 2*u + 370 = 0, -u + 5 = 0. Suppose -4*m + 94 = -3*p - 644, 0 = 2*m + 4*p - k. Suppose q = 3*l - 628, l - 3*q - m = 10. Is l prime?
True
Let x = -3 - -6. Is 1/(2262/753 - x) composite?
False
Suppose 3*t - 3*y - 18084 = 0, 5*y + 12059 = 2*t + 6*y. Is t a composite number?
False
Suppose 12 = -m - m. Is 10995/m*6/(-15) a prime number?
True
Let p(d) = 24*d + 11. Let b(k) = 5*k - 12. Let i be b(4). Is p(i) prime?
False
Let u be ((-240)/9)/((-2)/6). Let g = u + -53. Let x = 56 + g. Is x a prime number?
True
Let d(l) = -l**3 + 6*l**2 - 7*l. Let y be d(4). Suppose 5*v - 1450 = -8*x + 7*x, -y*v - 4*x = -1176. Is v a composite number?
True
Let v = 19 - 15. Suppose -4*t = -f + 3100, -4*t + 0*f - v*f = 3100. Let k = -540 - t. Is k a composite number?
True
Let o be (-2)/(-7) - ((-78375)/(-35) + 2). Let z = o + 3184. Is z prime?
False
Suppose -3*d = -3*j - 12, 2*d = -3*d + 2*j + 23. Suppose -4*w + k = -1800, 22 - 2 = d*k. Is w a prime number?
False
Let h(z) = 24*z**2 - 2*z + 1. Let j be 8/72 - (-17)/9. Let s be h(j). Is s/((-9)/(-3)) - 0 prime?
True
Let x = -1049 + -38. Let f = 1538 + x. Is f prime?
False
Let q(d) = 1101*d. Let r be q(1). Suppose 3*a - 8*a - 4*u = 6, -5*a + 14 = -u. Suppose -3*x + 252 = -a*o - r, -x + 462 = 3*o. Is x prime?
False
Let i be ((-60)/(-6))/(4/8006). Suppose -10*k - 1065 = -i. Is k a composite number?
True
Suppose 4 - 14 = -2*v, -d + v - 3 = 0. Suppose -d*p + p - 137 = -2*f, -f + 67 = -2*p. Is f composite?
True
Let j be 2 + -3 + 7 - 2. Let t = 1 - j. Is ((-3)/(-5))/(t/(-105)) a composite number?
True
Suppose -264467 = -23*s + 16*s. Is s prime?
True
Let g = -124 - -127. Suppose 3*a - 789 = -0*x + g*x, -1279 = -5*a - 4*x. Is a a composite number?
True
Suppose -4*m - 1609 + 4749 = 0. Suppose 38*r - 43*r + m = 0. Is r composite?
False
Let r(t) = -t**2 - 12*t + 10. Let a be r(-13). Let o be 1 - (a - 0)/(-1). Is 1/o*(-200 - 6) prime?
True
Let h(y) = -366*y**3 - 2*y**2 + 3*y + 4. Let d(j) = 366*j**3 + 2*j**2 - 2*j - 3. Let a(c) = 3*d(c) + 2*h(c). Is a(1) composite?
False
Suppose -3*c + 4*c + 225 = 3*t, -t - 5*c + 75 = 0. Suppose o - 19 - 187 = 0. Suppose -d - t = -o. Is d composite?
False
Let s = -257 - -183. Let k(a) = -106*a**3 + a**2 + 2*a. Let i be k(-1). Let n = i + s. Is n a prime number?
True
Suppose -2*o + 13914 = 10*k - 8*k, 2*k + 3*o = 13912. Is k prime?
True
Let x(b) = b**2 - 5*b + 6. Let g be x(3). Suppose g = 29*n - 33*n + 1004. Is n composite?
False
Let i = -4579 - -7850. Is i a prime number?
True
Let h(j) = 5924*j + 21. Is h(4) a prime number?
False
Let r(y) = 794*y**2 + 4*y. Let q be r(-2). Suppose 3*f + j + 510 = q, 2*j + 6 = 0. Is f composite?
False
Let v be 3/(-6*1/(-4)). Let x be v/4*(9 - 3). Suppose -c + 3 = -x. Is c prime?
False
Let z be 20/45*-6*9/(-2). Let w(j) = 2*j**2 + 5*j - 22. Is w(z) composite?
True
Let t(j) = -j**3 + 13*j**2 - 10*j + 11. Suppose -l = 78 - 84. Is t(l) a composite number?
True
Suppose -31 = -2*w + 5. Is (-27)/w*794/(-3) prime?
True
Let d = 125 + 244. Let l = -38 + d. Is l prime?
True
Let k(w) = -22*w - 11. Let v be k(-6). Suppose 1390 + v = q. Is q a prime number?
True
Let r(p) = 9*p + 2. Suppose f - 5*f - 8 = 0. Let n be r(f). Is -8*(140/n)/7 prime?
False
Let g(z) = 2*z**3 - 7*z**2 + 8*z + 5. Let r(n) = -4*n - 14. Let b be r(-5). Is g(b) a composite number?
False
Suppose 4*f + 24 = 4. Let g = 10 + f. Suppose 546 = 3*c + g*v, 0 = -2*c - 5*v - 133 + 492. Is c prime?
False
Let k(h) be the third derivative of h**5/20 - 5*h**4/12 + 3*h**3 + 4*h**2. Is k(7) a composite number?
True
Let m = 10 + 5. Let t = m - 7. Is 1 + 736/(t/2) prime?
False
Suppose -4*m = -640 - 1652. Suppose 2*d = -d + m. Is d a composite number?
False
Let k = 10 - 13. Is 508/3*k/(-2) a prime number?
False
Let v = 3044 + -143. Is v prime?
False
Let f(j) = 6715*j + 226. Is f(3) prime?
False
Let i = 1289 + -896. Suppose -4*s = -7*s + i. Is s a composite number?
False
Suppose -10997*u = -10984*u - 728507. Is u composite?
False
Let w = 37219 - 18272. Is w composite?
False
Let q(s) = -2 - 6*s + 4*s + 7*s + 6*s. Let t = -12 + 17. Is q(t) a composite number?
False
Let m = 28948 + -18279. Is m a prime number?
False
Suppose -5*p - w - 7 = -29, -6 = p - 5*w. Suppose -p*h - 726 = -10*h. Is h prime?
False
Is (-50 - -55) + 498*(-1 - -9) a composite number?
False
Let b = 45586 - 21863. Is b a composite number?
True
Let p(m) = 2*m**2 + 3*m - 1. Let c be p(2). Let k = -9 + c. Suppose -5*d + 357 - 17 = 5*f, -k*f = -4*d + 296. Is d a composite number?
False
Suppose 5*d - 7308 = -2*y, 11*y - 2*d = 6*y + 18299. Is y a composite number?
False
Let g = -69026 - -129719. Is g a prime number?
False
Let n(l) = 3*l**3 - 3*l**2 + 23*l - 29. Is n(18) prime?
False
Let r(i) = 7*i**2 - 5*i**2 + 7 + 8*i**2. Is r(5) a composite number?
False
Let k = 58 + -60. Is ((-111)/3)/(k/118) prime?
False
Let p(n) = 385*n + 170. Is p(45) a prime number?
False
Let s = -13 + 16. Suppose -5*o + 4*b = -2947, o + s*b = -2*o + 1752. Is o a prime number?
True
Let r(p) = -1226*p - 78. Let o be r(-6). Is (-1 - (-35)/30)*o prime?
True
Let r(p) = 99*p**3 - 6*p**2 + 3*p - 38. Is r(5) composite?
True
Let r = -19 + 16. Let c be -2*(-4 - 95)/r. Is 3 - 1/(1/c) prime?
False
Let a(p) = 118*p**2 + 4*p + 5. Suppose 0*x + x = -o - 6, -o + 3*x + 6 = 0. Is a(o) prime?
False
Let z(c) be the second derivative of -12*c**3 - c**2 + 6*c. Let x be z(-1). Let r = x + -39. Is r a composite number?
False
Let b(k) = 12*k**2 + k - 6. Let w(q) = -13*q**2 - q + 5. Let h(n) = 5*b(n) + 6*w(n). Let j be h(-2). Is (2 - 1)*j/(-5) prime?
False
Is 1879896/80 + 16 - (-6)/20 composite?
True
Suppose 0 = -12*v + 11 + 25. Suppose -5*c + 5*j = -2*c - 427, 397 = v*c + j. Is c composite?
True
Let j(o) = 25247*o - 18. Let c be j(-2). Is ((-14)/35)/2 + c/(-10) composite?
False
Suppose -n + 3*n + 3608 = -4*c, -n = 4*c + 3612. Let i = c + 2850. Suppose 2*j - i = -0*j + 2*y, 5*y - 1946 = -2*j. Is j a prime number?
False
Let a = 3557 + 6144. Is a a composite number?
True
Let z(v) = 86*v**2 + v + 18. Let k(r) = -r**3 + 9*r**2 - 5*r - 19. Let c be k(8). Is z(c) composite?
True
Let a(k) be the second derivative of 7*k**3/3 - 13*k**2/2 - k. Suppose -72 = 389*b - 397*b. Is a(b) a composite number?
False
Suppose 0 = 4*m + 5*w - 145957, 0 = 4*m - 4*w + w - 145917. Is m prime?
False
Suppose -2*b - 52416 = -8*b. Suppose 2*v + b = 3*p - 14515, -3*p + 3*v + 23250 = 0. Is p a prime number?
False
Let n = 5161 + -3221. Suppose 0 = 12*i - 16*i + n. Is i composite?
True
Let r = -55 - -59. Let b(f) be the first derivative of 22*f**3/3 - 5*f**2/2 + 5*f - 1. Is b(r) composite?
False
Let g = 277 + -113. Suppose 0 = 4*s - 872 - g. Is s a prime number?
False
Suppose i = -i + 1806. Suppose -s + i = -5*t, -5*t = -3*s + 2529 + 200. Is s composite?
True
Let c = 13 + -10. Suppose c*w - 233 = -5*n - 1063, -664 = 4*n - 4*w. Let m = 297 + n. Is m a composite number?
False
Is (267765/10)/(3/2) a prime number?
True
Let k = 10392 - 6959. Is k pri