
Let d(z) = -295*z**2 - 4*z + 16. Let i(q) = 589*q**2 + 9*q - 31. Let b(s) = 5*d(s) + 3*i(s). Suppose -2*n + 0*x + 4 = -5*x, -n = -x - 2. Is b(n) a prime number?
False
Let i(g) = 2*g**3 + 3*g**2 + 17*g - 23. Let y = -255 + 277. Is i(y) composite?
False
Let c(i) be the third derivative of -899*i**4/24 + 65*i**3/2 - 38*i**2 - 1. Is c(-8) composite?
True
Let i(u) = -3*u**2 + 0*u**2 + 7*u**2 - u**2 - 10. Suppose 5*f + 2*t = -25, 5*f + 4*t + 25 = 3*t. Is i(f) prime?
False
Let l(i) = 674*i + 8. Let f be l(-5). Let m = -6816 - f. Is 18/(-42) - m/7 a prime number?
False
Suppose 16*f + 3*f = 9611781 + 2014984. Is f composite?
True
Let p = -8112 + 192245. Is p composite?
False
Let h(f) be the second derivative of 85*f**4/12 + 3*f**3/2 - 71*f**2/2 + 139*f. Is h(5) prime?
True
Suppose -5*m + 9 = 9. Let c(j) = -17*j + 87. Is c(m) a composite number?
True
Let z(n) = 20*n**2 - 10*n + 54. Let q be z(-15). Let m = 18271 - q. Is m composite?
False
Suppose 13*s - 81 = -14*s. Is 1690 - 3/(s - 6) composite?
True
Let y(t) = -5628*t**3 - 133*t**2 - 14*t + 4. Is y(-5) composite?
True
Let f(r) = 933*r + 15. Let n(x) = 1865*x + 30. Let k(o) = 13*f(o) - 6*n(o). Let w be k(5). Is 2 - (-2)/(4/w) a composite number?
False
Suppose -2*x = -3*h - 88834, -186*h = 2*x - 188*h - 88834. Is x a prime number?
True
Let b = 139 + -134. Suppose -4771 - 1750 = -4*d - a, 4*d = -b*a + 6509. Is d a prime number?
False
Let l(i) = -138*i + 29. Let o be 6/(9/(378/(-12))). Is l(o) composite?
False
Let y(v) = -3891*v**3 + v**2 - 34*v - 73. Is y(-2) composite?
True
Let l(n) = 17 + 19 - 377*n - 67 + 24. Let j = -4 + 0. Is l(j) a prime number?
False
Let i(u) = -53*u**3 - 3*u**2 + 3*u - 1. Let c be i(1). Let v = c + -414. Let r = v - -1169. Is r a composite number?
False
Let k(c) = 31*c**2 + 11*c - 35. Let r be k(8). Let s = 3658 - r. Is s prime?
True
Suppose 3853568 = 6*s - 949197 - 3042781. Is s prime?
True
Let j be 1/(5 + (-238722)/47745). Let n = -520 + j. Is n prime?
False
Suppose 5*d - 3*d = 6. Let w(j) = j**2 - 5*j + 8. Let z be w(d). Is (6/(30/(-5)))/(z/(-970)) a composite number?
True
Let r be (-1)/(2/6*(-12)/20). Suppose -3*m - 141 = -r*s - 1115, 4*m + 5*s - 1287 = 0. Is m prime?
False
Let m(d) = 2*d**3 + 20*d**2 - 21*d + 39. Let w be m(-11). Is (-12)/9*(-266427)/w composite?
True
Let f = -650 - -657. Suppose 0 = -f*d + 66528 - 8729. Is d composite?
True
Let l = -225919 - -339368. Suppose -l = -70*a + 51*a. Is a a composite number?
True
Let a = -10 - -10. Suppose -4*w + 590 = 2*n - a*n, 4*w = 5*n - 1405. Suppose -h - 4*o = -n, h + 3*o - 1166 = -3*h. Is h a prime number?
True
Let c = -259740 - -479639. Is c a prime number?
False
Suppose 52 = -4*h + 48. Let r be h*(5/(-15) - 44/(-6)). Let m(v) = 11*v**2 + 4*v + 30. Is m(r) a prime number?
True
Is (-1 + (-4)/(-3))/((-884950)/294987 - -3) prime?
False
Let l(g) = -g**3 - 14*g**2 + 32*g - 2. Let b be l(-16). Is b + 4/(-2) + 2337 prime?
True
Let c = 208 - 213. Is 286391/(-7)*(c - -4) composite?
True
Let i(a) = a**2 - a + 1. Let g(x) = x**3 + 5*x**2 + 12*x - 6. Let h(y) = -g(y) - 3*i(y). Suppose -5*d + 10 = -6*d. Is h(d) prime?
True
Let q(g) = 72*g**2 + 424*g - 311. Is q(49) composite?
False
Let f(q) = 4010*q - 233. Is f(8) a prime number?
True
Suppose -z = -12 + 21. Let j(b) = -44*b**3 + 13*b**2 + 11*b + 7. Is j(z) a prime number?
True
Suppose 3*r - 2573 = 2*i - 105916, -4*i + 206666 = -2*r. Suppose 11*p - i = -5*p. Is p prime?
True
Suppose -5*b - 9 = 6, -5*w = b - 10507. Is w composite?
True
Let d be 453/51 + 6/51. Suppose 0 = d*b + 2 - 20. Suppose -w + 2*w = -4*g + 47, 216 = 4*w + b*g. Is w prime?
False
Let t = -439 - -443. Suppose 26587 = w + 2*j, -t*w = 5*j - 127336 + 20982. Is w composite?
False
Let d = -14206 - -25027. Is d composite?
True
Suppose -p + 11*p = 30. Suppose -p*h = -15*h + 17988. Is h composite?
False
Let c(w) = 6*w - 5. Let m be c(2). Let o(v) = 99*v**2 - 13*v + 23. Is o(m) a composite number?
False
Suppose -w + 0*y = -y - 12215, -4*w + 2*y + 48866 = 0. Let q = w - -12725. Is q composite?
False
Let n(u) = -9*u**3 + 2*u**2 - 6. Let l be n(-2). Suppose 67*r = l*r - 32207. Is r a composite number?
True
Let d be 54/(-12)*(-580)/(-261). Let c(q) = 39*q + 7. Let o be c(-6). Let v = d - o. Is v a prime number?
False
Suppose -3*j + 2*j = -6862. Let s = -3984 + j. Is s prime?
False
Suppose 0 = 6*u + u - 3066. Is (u/(-4))/(36/(-552)) prime?
False
Let c = -6456 + -9658. Is 6/((-3)/(-1)) + c/(-2) a prime number?
True
Suppose -2*s + 1445 + 493 = 0. Let o = s + 5728. Is o prime?
False
Suppose -4*y = -15*o + 20*o - 1257632, 3*o + 1572003 = 5*y. Is y a composite number?
True
Suppose -o = 5*h - 25 + 5, -3*o + 15 = 0. Suppose 0 = 5*w - h*w - 10. Is -2019*((-1)/4 - w/60) composite?
False
Suppose -2*x = -10*x + 9192. Let t = -15 - x. Is (1/(-3))/(4/t) composite?
False
Let z be (-2)/(-1 - -2) + 4. Is (-9172)/(-8)*(z + 0) a prime number?
True
Suppose 2*p = -x + 132, p - 2*x + x = 72. Suppose 5*a - a = 0. Suppose a = f - p - 341. Is f composite?
False
Suppose r - 1406*u + 1410*u - 47051 = 0, -5*r - 2*u + 235255 = 0. Is r composite?
False
Let l be ((-4)/6)/(2/(-21)). Let z(y) = 55*y**3 + y**2 + 4*y + 59. Is z(l) a prime number?
True
Let q be 3/(2 - (-1629)/(-813)). Let t be (-312300)/105 + 4/14. Let o = q - t. Is o a prime number?
True
Let s(n) = 1462*n**3 - 514*n**3 + n + 315*n**3 + n**2 - 1. Let j be s(1). Suppose 0 = 5*o + 3*h - j, -2*o = 5*h - 9 - 508. Is o a prime number?
True
Suppose -88*x + 97*x = 106560. Let m = x + -6801. Is m a composite number?
False
Is 5400395/364 + 3/4 prime?
False
Let c = -36 + -146. Let j = c + 782. Suppose -104 + j = s - 3*u, 5*s - 2492 = 3*u. Is s a composite number?
False
Let p(c) = -996*c - 25. Let t(b) = -50*b**2 - 4*b + 4. Let q be t(1). Let g = -53 - q. Is p(g) prime?
True
Suppose 3*b = 5*d + 22, -d + 5*d = -2*b. Suppose y - 3071 = 5*w + 877, b*y + 3*w - 15769 = 0. Is y a prime number?
True
Let n(x) = 186*x**2 + x + 371549. Is n(0) a prime number?
True
Suppose -73*m + 65*m = -29832. Suppose o + s - m - 6276 = 0, -s - 9997 = -o. Is o a composite number?
True
Let u(y) = -44 + y**2 - 28 + 16*y + 3*y**2 + 50 - 3*y**3. Is u(-8) prime?
False
Let c(i) = 1218502*i**2 - 12*i - 9. Is c(-1) a composite number?
True
Suppose 2*j = 2*p + p + 230, -p - 58 = 4*j. Let t = p - -90. Is t/(-4) + 3 + -2 + 130 prime?
True
Let r(n) = -n**3 + n**2 - n. Let d(i) = 2*i**3 - 34*i**2 - 17*i - 36. Let q(t) = -d(t) - 3*r(t). Is q(-29) a composite number?
True
Let q(v) = -222*v - 23. Let s(p) = 224*p + 23. Let l(j) = -5*q(j) - 6*s(j). Is l(-5) composite?
True
Is (-7844139 + 15)/(-12) + 10 a prime number?
True
Suppose -2*w = 5*k - 1804, 12*k - 7*k + 1764 = 2*w. Suppose 0 = p, -2*d + w = -6*p + 3*p. Is d a composite number?
True
Let a be (-7 - -9)/2 + 1/1. Is a/2*(4708 + 3 + 0) a prime number?
False
Let t(k) be the first derivative of -k**4/2 - 28*k**3/3 + 9*k**2/2 - 8*k - 75. Is t(-15) prime?
True
Let h = 6 + -1. Suppose x - 4*b = -3*x + 5620, -2*x + 2819 = -h*b. Suppose 0 = -3*c + 5*c - x. Is c composite?
False
Let g = 2877728 - 1122243. Is g a prime number?
False
Suppose 0 = 3*r - 4*c - 47, -3*c = -4*r + 57 - 6. Suppose -31280 = -r*k + 33097. Is k prime?
False
Let a be (-3)/(-1) + -4 + 0 + 2731. Suppose 19954 = 8*q + a. Is q a prime number?
True
Is -1*2 - (308135/10 - -7)*-2 a composite number?
True
Suppose 0 = -3*v + 2*o + 4, 2*v - 2 = -4*o + 6. Suppose -2*y + v*p + 4610 = 0, 0 = y - 7*p + 5*p - 2304. Is y prime?
False
Let q = 32990 - -9947. Is q a prime number?
True
Let w(y) = -29*y - 19. Let p(v) = 2*v**3 + v**2 - 4*v - 3. Let s be p(-2). Let f be w(s). Let t = f - 110. Is t composite?
True
Let b(k) = k**3 - 15*k**2 + 13*k. Let h be b(14). Let q be 84003/27 - h/(-63). Suppose 5*m - 4*z + 5*z = q, 4*m - 5*z - 2512 = 0. Is m composite?
True
Suppose 7 + 21 = -4*x. Let p(n) = -41*n - 96. Is p(x) prime?
True
Suppose -1297 = -3*u - 3*b + 77, -b = -5*u + 2266. Let t = 97 + u. Is t a prime number?
False
Suppose -334*u + 1735928 = -326*u. Is u a composite number?
False
Suppose 2*n + 460907 - 4490696 = -3*u, -4*u + 3*n + 5373086 = 0. Is u prime?
False
Let i(z) = -8*z**2 + 69*z - 59. Let y be i(-46). Is (-1*y/4)/(42/168) composite?
False
Suppose -x + 6*x - 35 = -4*p, x + p = 6. Let m(w) = 10*w - 30*w + 13*w + x + 51*w**2. Is m(-6) a composite