z = -5*x + 4*w + 25073, 2*w - 9104 - 936 = -2*x. Is x a prime number?
False
Let v(a) = a**3 + 20*a**2 + 38*a - 6. Let q be v(-17). Let s = 14 - 7. Suppose -2*p + s*p = q. Is p prime?
True
Let q be (-17 - -15) + (-1 - -16812). Let m = q - 7582. Is m a prime number?
True
Suppose 0 = -2*o - 3*o + 5. Is (-2 + 25/15)/(o/(-3819)) prime?
False
Let h(v) = -6833*v + 65. Is h(-4) a composite number?
False
Let h(w) = -w**2 - 40*w - 202. Let b be h(-34). Suppose o = 4*z + 8139, -15428 - 815 = -b*o + z. Is o a composite number?
True
Let u = 53 - 49. Suppose 5*q + 310 = 3*o + u*q, 2*q - 535 = -5*o. Is (-2)/24*-4*o a prime number?
False
Suppose 0 = j + 2*h + 4, 2*j + 2*j + 4*h = 0. Let c(b) = -11*b + 17 - 3*b**3 - 11*b**2 + 15*b + j*b**3. Is c(12) composite?
True
Let a = 155675 + -49084. Is a prime?
True
Suppose 3*i - 127231 = -u - 0*u, 636071 = 5*u + i. Is u a prime number?
False
Suppose -a + 10 = -0*g - 3*g, -4*a - 3*g - 5 = 0. Let b be 28/(-70) + (a - (-3)/(-5)). Suppose -6*p + 797 + 2359 = b. Is p composite?
True
Let n = -31 + 36. Suppose n*f = -3*c + 41 - 122, -5*c + 105 = -5*f. Is (1/(-2) + (-3)/f)*-3513 a composite number?
False
Let x = -73 - -67. Let v be (x/(-9))/((-7)/(-23163)). Suppose -2*u = -2*f - 1484, -f + 2*f = -3*u + v. Is u composite?
True
Let u(t) = t**3 + 70*t**2 + 203*t + 19. Is u(-50) composite?
False
Let i = 993 + 79. Suppose -9237 = i*o - 1075*o. Is o a prime number?
True
Let x(b) = 7*b**2 - 3*b + 37. Suppose -5*s + 2 = 2*u, 0*u + 4*u - 2*s = -44. Is x(u) prime?
True
Let q(a) = 4416*a**2 + 558*a + 23. Is q(-8) a prime number?
False
Let w be -1*(-6 + -1 - -2). Let r = 56 + -52. Suppose 0 = -j + w*t + 1691, -2*j = -6*t + r*t - 3414. Is j a prime number?
False
Suppose -l - 44 = -336. Suppose 3*f - 1513 = z, l + 207 = f + z. Is f prime?
True
Suppose -5*r = -t - 230816, -5*t - 32038 = 4*r - 216656. Is r a prime number?
False
Let l = 24807 + -14143. Suppose -2*h + l = 3556. Is h a composite number?
True
Suppose 0*f = 2*f - 10. Suppose 0 = f*v - 3*j - 1249 - 122, -275 = -v + j. Suppose 5*k + 250 + v = 4*l, -4*k = -4*l + 520. Is l a prime number?
True
Suppose 2*u - 30 = -12. Is -3 + -3*30/u*-277 composite?
False
Let c = -617 - -891. Let q = 917 + c. Is q a composite number?
True
Let r(h) = 6*h + 50. Let n be r(-10). Let b = n + 15. Suppose -5*c + 5*i = -3810, 4*i + 1552 = b*c - 2263. Is c composite?
True
Let h(c) = 2*c**3 - 3*c**2 + 3*c - 6. Let u be h(3). Suppose 0 = -u*f + 38*f - 5608. Is f prime?
True
Let r(h) = 22*h**2 - 44*h + 677. Is r(23) composite?
True
Suppose 106*c - 3*b - 901928 = 105*c, -b = 4*c - 3607647. Is c composite?
True
Suppose 0 = 7*m + 252 + 49. Let q = m - -43. Suppose 0 = 3*k + 10 - 4, -3*y + 5*k + 3451 = q. Is y a composite number?
True
Let y(p) = p**2 - 3*p + 1. Let z(o) = -33*o**2 - 41*o + 3. Let a(g) = 5*y(g) - z(g). Is a(-6) a composite number?
True
Suppose a - 89211 = -4*c + 5798, -94981 = -a + 3*c. Is a a prime number?
True
Suppose 212*p - 12812804 = 64*p. Is p prime?
True
Let k be (-1)/2*(-749 - 5). Let y(a) = -152*a + 528. Let w be y(5). Let d = w + k. Is d composite?
True
Let b = 46276 + 5777. Is b a composite number?
True
Let n(s) = 2*s**3 - 5*s**2 - s - 8. Let y be n(4). Suppose -3*r = -2*x - 14, 4*x - 8 = -3*r + y. Suppose -r*d - 1009 + 7305 = 0. Is d composite?
False
Suppose -5*r = 5*n + 5, -2 = -5*n - 3*r - 5. Suppose n = 4*k - d - 6931, 2*k - 5*k = 2*d - 5201. Is k a prime number?
True
Let x be 7/(154/16056) + (-18)/(-99). Suppose -761 - 1354 = -5*m. Let q = x - m. Is q prime?
True
Suppose -53*x + 28*x - 37200018 = -31*x. Is x prime?
True
Suppose 8*m = 3*m + 2*f + 166118, 2 = 2*f. Suppose -310*c - m = -318*c. Is c prime?
True
Let s(a) = 5*a - 75. Let b be s(16). Suppose -12 + 32 = b*k, -2*k = 4*u - 2812. Is u a composite number?
False
Let o be (-9)/3 + (-7)/((-7)/220). Let i = 528 - o. Is i a prime number?
True
Let d be ((-4)/12)/(1/(-12)). Let l = 9 - 5. Suppose l = -d*s, -2*p = s + 3*s - 1042. Is p prime?
True
Is ((-2)/(-8) - (-1589060)/48)/(12/36) a prime number?
True
Is 36902450/(-52)*16/(-40) a composite number?
True
Let u = 123158 - 68871. Is u a prime number?
True
Suppose 17*v + 14*v + 1764551 = 8355988. Is v composite?
False
Let m = 222724 + -139227. Is m composite?
False
Suppose -56869 = -2*h + x, 16*h - 3*x + 113713 = 20*h. Let o = -9339 + h. Is o a composite number?
True
Suppose -9 = 3*l + 12. Let s = l + 9. Suppose 0 = -5*w + s*w - 12, 2*w = -4*x + 1476. Is x prime?
False
Let o(u) = u**3 - 25*u**2 - 7*u - 5. Let n be (-2853)/39 - (-4)/26. Let x = n - -99. Is o(x) prime?
False
Let m(g) = 28720*g**2 - 23*g + 47. Is m(2) a prime number?
False
Suppose -62077 = -3*v + 5*z - 6808, 3*v = -3*z + 55221. Is v prime?
True
Let m be (-5 - -7)/(-4 + (3 - -3)). Is (m - (-11863 - -1))/1 a prime number?
True
Let g be (20/(-6) - -2)/((-2)/6). Is 4389/4 + 3/g + -1 composite?
False
Let s = -37 - -34. Let n(c) = c**2 + c + 3. Let u be n(s). Suppose u*q = -3*q + 3684. Is q a prime number?
True
Let p = 11681 - 27845. Let o be (-20)/(-6)*(p/(-10))/3. Suppose q - o = -b, 3*q + 356 + 5062 = 3*b. Is b a composite number?
False
Suppose 9*j + 14279 = -68854. Let t = 14750 + j. Is t a prime number?
False
Let x(m) = -25*m**3 - 3*m**2 + 5*m - 20. Let t(i) = -37*i**3 - 4*i**2 + 8*i - 30. Let r(w) = -5*t(w) + 8*x(w). Is r(-6) prime?
False
Let y(k) = -11 - 16 + 16 - 8051*k - 5. Is y(-1) a composite number?
True
Let p = -120 - -111. Let q be 40/180 - 61/p. Suppose 13*i = q*i + 4302. Is i a composite number?
True
Let a = 111933 - 51728. Is a prime?
False
Let l(b) = 5*b**3 - 7*b**2 + 3*b - 7. Let k(h) = 11*h**3 - 15*h**2 + 6*h - 15. Let o(c) = 6*k(c) - 13*l(c). Let p be o(2). Suppose 5*u - p*u = -292. Is u prime?
False
Suppose -2*p + 44 = 4*n, 2*n - p = p + 28. Let r = 5485 + -3499. Suppose -6*c - r = -n*c. Is c composite?
False
Let b = 16016 + 59441. Is b composite?
True
Suppose -5*r - 22290 = -11*r. Suppose 0 = -4*g + 2109 + r. Suppose o - g = -0*o + 3*f, -5834 = -4*o + 2*f. Is o a prime number?
True
Suppose -c = -3*l + 101170 - 11012, -4*l + 120210 = -c. Let i = l - 7503. Is i prime?
True
Let r = -4338 + 11895. Suppose -5*o = 4*c - r, 0 = -5*o - 0*o + 25. Is c a prime number?
False
Let a(p) = 15*p + 204*p**2 - 41 + 270*p**2 + 181*p**2. Is a(3) a composite number?
True
Let m(q) = -83919*q - 6509. Is m(-8) prime?
True
Let k(i) = 1702*i - 161. Let z(v) = -v**3 + 3*v**2 + 54*v + 9. Let a be z(-6). Is k(a) composite?
True
Let k(w) = -w + 996. Let h be k(0). Suppose -4*j + 3*x = -0*x - 2111, 3*j + 3*x - 1578 = 0. Let f = h - j. Is f a composite number?
True
Suppose 3*b - 92430 = -3*t + 6*t, -2*b + 3*t = -61615. Is b prime?
False
Let w = -29753 - -51456. Is w prime?
False
Let n(h) = -h + 20. Suppose 10*u - 121 - 419 = 0. Suppose -5*s + u = 19. Is n(s) prime?
True
Suppose 29 = 6*b - 13. Suppose 0 = 12*r + b - 43. Is 1/r*-76*6/(-4) composite?
True
Suppose -5*f = -2*v - 27, -2*v = -4*f + 3*v + 25. Suppose -f*g + 6*g = 4*w - 5, 6 = -g + 5*w. Is 16336/12 - (g - (-12)/9) a composite number?
False
Let d(s) be the third derivative of 7*s**5/15 - 5*s**4/6 + 11*s**3/6 - 2*s**2 - 157. Let v(n) = -10*n**3 - n**2 - n. Let x be v(-1). Is d(x) prime?
False
Let c = -228 + 230. Suppose 0*i - v = 2*i - 2516, 4*i - c*v = 5040. Is i a prime number?
True
Let q(p) = 32*p**3 + p**2 - 2*p + 2. Let w be q(1). Let c be (w/9 - 4)/(3/20637). Let x = c - -3284. Is x a composite number?
False
Let l(a) = a**3 + 47*a**2 - 67*a - 42. Suppose 221 = -17*x - 68. Is l(x) a composite number?
False
Let x = -17301 - -8718. Let k = -2 - 5. Is (-6 - k)*x/(-3) prime?
True
Let s(c) = 3*c**3 - 179*c**2 - 115*c - 244. Is s(75) a prime number?
True
Let i(d) = 173*d - 1. Let t be i(3). Let b be (723/(-4))/((-117)/312). Suppose -b = -3*p + 2*h + 44, -3*p + 4*h + t = 0. Is p composite?
True
Let u(r) = -932*r + 3129. Is u(-43) composite?
True
Suppose -66260 = -4*g - 5*m + 169716, g - 59007 = 2*m. Is g a composite number?
True
Let c = 6190 + 17052. Is c composite?
True
Suppose -112*y - 140281 + 3945257 = 0. Is y a composite number?
True
Suppose 8*h - 7*h = 2374. Let d = 8345 - 4238. Let t = d - h. Is t a composite number?
False
Let b(i) = -5. Let g(n) = -432*n + 328. Let r(u) = 3*b(u) - g(u). Is r(23) a composite number?
True
Let t = 782741 + -305280. Is t a prime number?
True
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