-4*w = -w - 5*w. Let v be 20/8*(2 + w). Suppose 0 = 4*n + v*n - 6651. Is n a prime number?
True
Suppose 17*q - 22116 - 13360 = 25639. Is q composite?
True
Let s(z) be the third derivative of z**6/30 + z**5/15 + z**4/12 - z**3/6 - 22*z**2. Let o be s(-1). Is (1 - 572)*(-3 - (o - -1)) composite?
False
Let t(i) = 2*i**2 + 6*i + 7. Suppose 0 = -8*k + 3*k + 80. Let q = k - 25. Is t(q) prime?
False
Let n(v) = -v**2 - 6*v - 5. Let w be n(-3). Suppose 2*f - f = 5*i + 65, 52 = -w*i + f. Is -3 - ((i - 0) + -3) a prime number?
True
Let f(r) = 89*r**3 + 13*r**2 + 42*r - 255. Is f(12) a prime number?
False
Let g = 27757 - -173750. Is g a composite number?
True
Let z be 4/(-8) + 12/(-8). Is (-5 + (-1987)/z + 5)*2 composite?
False
Suppose 162195 = y + 2*h, y + 168*h = 173*h + 162132. Is y prime?
False
Let d(u) = -3*u + 3. Let b be -2*(16/96 - (-4)/(-6)). Let i be d(b). Suppose 3*f = -3*n - i*n + 32718, 2*n - 21827 = -5*f. Is n prime?
False
Let a(p) = -4*p - 16. Let l be a(-9). Let t(x) = -491*x + 547*x - l + 7. Is t(7) a prime number?
True
Is (21/(-210)*10)/(1/(-165811)) composite?
False
Let t(n) = -2*n**2 + 35*n - 3. Let f be t(-22). Let h = f + 2936. Is h prime?
False
Let a(r) = -995*r**3 - 6*r**2 - 10*r - 34. Is a(-7) a prime number?
True
Suppose -4*m = 11*m + 10*m - 4114225. Is m a composite number?
False
Let k = -376 - -371. Let s(i) = -i**3 + 6*i**2 - 4*i + 12. Is s(k) a prime number?
True
Suppose g + 3*g = 0, -3*l = -5*g - 12. Suppose 3*d - 309 = -l*h, d - 204 = -d - 2*h. Suppose -100 = -c - 3*f, -2*f = c - 0*c - d. Is c a prime number?
True
Let k(x) = 25218*x - 773. Is k(4) a composite number?
True
Suppose 37 = -58*h - 21. Let u = 7 + -11. Is ((-197)/u)/(h/(7*-4)) prime?
False
Let p(g) = -19*g**3 - 3*g**2 + 2*g - 4. Let s(q) = -20*q**3 - 3*q**2 + 2*q - 4. Let h(k) = 6*p(k) - 5*s(k). Is h(-7) prime?
True
Suppose 0 = t - 4*z - 61, -4*t - z + 261 = -0*z. Suppose -3*k + 2*c = -3 - 44, -5*c = -4*k + t. Is (-292)/(-3) + k/(-45) a composite number?
False
Let p(l) = 32*l**2 - 5*l - 7. Let o(u) = -2*u + 22. Suppose -6 = -r + 6. Let k be o(r). Is p(k) a composite number?
False
Suppose 20*m - 3*k = 24*m - 539935, 3*k = -2*m + 269969. Is m a composite number?
True
Let o(n) = -444*n + 7. Suppose 3*y + 96 = -3*l, -2*y - 132 = 3*y - 2*l. Let t = 24 + y. Is o(t) composite?
False
Let g(c) = -3*c**3 + 178*c**2 + 47*c + 1901. Is g(57) composite?
True
Suppose -3*q + 593127 = 6*y, 3*q + 296532 = 163*y - 160*y. Is y composite?
True
Let b = -46251 + 66110. Is b a composite number?
True
Let d(h) be the first derivative of 22*h**3 - 3*h**2 + 11*h + 45. Is d(8) a composite number?
True
Suppose 5*m = -15*m + 1100. Let x(u) = 27*u**2 + 20*u**2 - 38*u - m - u - 44*u**2. Is x(24) composite?
True
Suppose 9*h - 95517 = 68400. Suppose 12*a - 43479 = h. Is a prime?
False
Let s = 0 - -5. Suppose 2763 = 4*y + s*y. Is y composite?
False
Let z = 66 + -63. Suppose -5*i - 4*g - 55 = 0, z*i + 3*g + 43 = -i. Let t(q) = -150*q - 7. Is t(i) a composite number?
True
Is (-917886)/(-8)*(-19)/((-342)/24) prime?
True
Let g be (-187332)/(-2) - -3*16/(-12). Suppose -5*s - 4308 = i - 121371, 4*s - g = 5*i. Is s prime?
False
Suppose 2*u = 4, -u + 13942 = -3*g - 2*g. Let f = g - -4760. Suppose -p - 2*m + f = p, 4*p + 2*m = 3938. Is p a composite number?
False
Suppose -k = 4*i - 1498, 8*k + 6 = 5*k. Let m = 1342 - i. Is m prime?
True
Suppose -7*x - 139942 = -18*x. Is x a prime number?
False
Suppose -2*c + 102102 = -x - 818883, -2302468 = -5*c - 3*x. Is c a prime number?
False
Let o be (-6)/(-9) + (-102176)/12. Let s = o - 2592. Is 3/4 - s/8 a composite number?
True
Let q(j) = -8 + 3*j**2 + 34 + 2 + 28*j + 18*j. Is q(-25) prime?
False
Let q = 48938 - 32118. Let g = 11463 + q. Is g a composite number?
False
Let x(k) = -18 - 9 + 35 - 9 + 142*k**2 - 11*k. Is x(-2) prime?
False
Let t = -1945 - -3772. Let u = t - -944. Is u a prime number?
False
Let t(k) = 85*k - 27. Let s(y) = -212*y + 68. Let d(v) = -5*s(v) - 12*t(v). Let a be d(-11). Is 11662/38 - 48/a a prime number?
True
Let p be (-24)/4 - (-8)/((-32)/(-130668)). Let h = 48050 - p. Is h a prime number?
False
Let k = -467 + 1175. Suppose 5*v + 717 - 2802 = 0. Let q = k - v. Is q prime?
False
Let l = -554 + 302. Let t = 4704 + -2721. Let y = l + t. Is y composite?
True
Let u = -58992 + 84401. Is 3*22/33*u/2 composite?
False
Let a(l) = 36*l**2 - l - 22. Let b(g) = 21*g**2 - 12. Let n(f) = -4*a(f) + 7*b(f). Suppose 4*x + 21 + 47 = 0. Is n(x) a prime number?
False
Suppose 3*v = -a + 14, 8*v + 2 = 11*v - 5*a. Suppose 2*o - p - 11844 = 0, 0 = v*o - 3*p - 3249 - 20441. Is o composite?
True
Let p(h) = 1274*h - 79. Suppose -3*i + 4*o = -33, 4*i - o = 39 + 18. Is p(i) prime?
True
Let h(p) = -7*p + 30. Let u be h(3). Suppose 0 = -v + d + 29695, 0 = -4*d + u*d. Is v composite?
True
Let v(m) be the second derivative of 2230*m**4/3 + m**3/3 + m**2/2 - m + 7. Is v(1) a prime number?
True
Let z be (186/(-4))/((-24)/32). Suppose -11*a - z = -172. Suppose -8*b + a*b = 1174. Is b a composite number?
False
Let n = 4 + -4. Suppose n = 5*g - 6*g. Is g - 4/((-12)/69) composite?
False
Suppose 3*n - 4*s + 4 = 0, -3*n = 2*n - 2*s + 16. Let v(b) = -4*b**3 + 50*b**2 + 25*b - 3. Let w be v(13). Is (-4149)/n + 2 + w/64 a composite number?
False
Let p(s) = -4*s - 36. Let x be p(-8). Is 0 + (9545/5 - x) prime?
True
Let i = 168 + -176. Is 92 - 29 - i/(-2) a composite number?
False
Let o(d) be the second derivative of 11*d**3/3 - 31*d**2/2 + 2*d + 300. Suppose 0 = -3*p - 0*p + 33. Is o(p) prime?
True
Let j be (-1442 + 2)*(133/(-28) + 4). Let b = 2111 - j. Is b a composite number?
False
Suppose -10*x + 106029 = x. Suppose 0 = 4*m + 5*i - 15389, 5*m - 9591 = -5*i + x. Is m a prime number?
False
Let x be 4/(-12)*-3 + 19. Suppose 22*m - 8 = x*m. Suppose -7126 = -6*l + m*l. Is l prime?
False
Let n = 181110 + -69539. Is n a composite number?
True
Suppose -19*c - 5*c + 144 = 0. Suppose -2*k + 758 = c*h - 8*h, -5*k + 1895 = -h. Is k prime?
True
Let a(l) = 150748*l**2 + 4*l - 3. Is a(1) a prime number?
False
Suppose 347 - 3353 = 6*a. Suppose -4*y - 50 = -5*y. Let q = y - a. Is q a prime number?
False
Let j(g) be the second derivative of -1401*g**5/20 - g**4/12 - g**3/2 - g**2 - 54*g. Is j(-1) composite?
True
Suppose -15*s = -5*s. Suppose -v - 3*h = -62, s = 8*v - 6*v - 5*h - 157. Is v prime?
True
Suppose c = -0*c + 275. Let p = 223 - -177. Suppose -5*h + 5*b + p = 0, c = 4*h - h + 4*b. Is h composite?
True
Let g(f) = -58*f**3 - f**2 + 3*f + 28. Let s(u) = -28*u**3 - u**2 + u + 15. Let n(t) = 4*g(t) - 9*s(t). Let d be (14/6)/(1/3). Is n(d) a prime number?
True
Is (-1 + (728/39)/14)/(1/2231457) a prime number?
True
Let j = -738 + 747. Suppose -2*o + 3526 = 3*l - 48397, -3*l = -j. Is o prime?
False
Let b = -22045 - -31734. Let g = b - 6716. Let z = -1724 + g. Is z a prime number?
True
Let r be ((-4)/9)/(((-24)/27)/4). Suppose 0 = -r*n + s + 3*s + 9422, 2*s + 14117 = 3*n. Is n composite?
False
Suppose d - 77 + 91 = 0. Let v(q) = q**3 + 18*q**2 + 18*q + 32. Let p be v(d). Suppose n = -r + 74 + p, 0 = -2*n + 5*r + 1255. Is n composite?
True
Suppose -t + 117101 = 4*y, 14*y = -7*t + 9*y + 819615. Is t a prime number?
False
Let s = 67929 - -178760. Is s composite?
False
Suppose 0 = -5*c + 35, 11*k - 6904277 = -8*c + 4*c. Is k a prime number?
True
Suppose -55*n + 50*n = 10. Is (-44 - -49) + (-5868)/n a composite number?
False
Is (160/(-25))/(-16)*80285 prime?
False
Let w(i) = 34*i - 31. Let n be w(1). Suppose 0 = 5*a + n*o - 36488, 3*a + 8*o = 11*o + 21888. Is a a composite number?
False
Let g(p) = -3502*p + 415. Is g(-58) prime?
True
Is ((-10788812)/(-136))/((-7)/(-14)) prime?
False
Is (-10)/(-6) + (-466334960)/(-735) prime?
True
Let n = -556 - -561. Suppose -2*f + 5*t = -2717, f - n*t - 1366 = -10*t. Is f prime?
True
Let x be (-44)/(-99)*4/((-8)/(-9)). Suppose x*i - 266 = r + 317, -2*r = -3*i + 873. Is i a prime number?
True
Suppose -5*h + 2*d + 959477 = 0, -281503 = -3*h + 4*d + 294172. Is h prime?
False
Let f be (5088 - -8)/4 + 7. Let c = f - 580. Is c prime?
True
Suppose -2*l - 3653 = g, 4*g - 2*l = 2*l - 14576. Let c = g + 6462. Is c a composite number?
True
Suppose -4*h = -845 - 16123. Let w = h + 9407. Is w composite?
False
Let q(n) = n + 179. Let z be q(14). Suppose -z - 6817 = -10*g. Is g comp