ue
Let n be -62*((-1917)/(-15) + 1/5). Let s = n - -5663. Let c = s - -3268. Is c a composite number?
True
Let b = 302254 + -163795. Is b a prime number?
False
Suppose -9193*p = -9150*p - 4601903. Is p a composite number?
False
Let b = 186 - 181. Suppose 3*o - b*f = 2657, -14*f + 4447 = 5*o - 13*f. Is o a composite number?
True
Let d = 87 + -70. Suppose d*u + 0*u = 39695. Is u composite?
True
Suppose 824702 = 287*d - 169*d. Is d prime?
False
Suppose 6*l - 3*l - 6 = 0. Suppose -l*i = -x + 2344 + 1343, 2*x - 7356 = -5*i. Is x a composite number?
True
Suppose 171 = 24*t - 5*t. Is t - (-9917 - (5 + -8)) prime?
True
Let s(p) = p**3 - 18*p**2 + 35. Let k be s(18). Is (k - 40)*(-3086)/10 a prime number?
True
Is -2*((-175170)/20 - 1) composite?
False
Let g = 322 - 316. Suppose 9*k = g*k - 2*v + 2391, -2391 = -3*k - 5*v. Is k composite?
False
Let p = 61 - 35. Suppose 4*m + 10 = p. Suppose -726 = m*n - 6*n + 5*y, 0 = 4*n + 4*y - 1508. Is n a prime number?
True
Suppose -135*u - 51*u = -18472962. Is u a prime number?
True
Let b(s) = -s**3 + 15*s**2 - 26*s + 10. Let z be b(13). Let r be (-12)/(-40)*-2 - 5234/z. Let i = 1207 + r. Is i prime?
True
Let h = -63 + 65. Suppose 5*m - 708 = -4*i, -3*i + 885 = h*i - 5*m. Suppose -1147 = -4*t + i. Is t prime?
True
Is (2 + -5 - (-39)/12)/((-5)/(-43580)) composite?
False
Let u(f) = 542*f. Let p(q) = 407583*q. Let v(s) = -5*p(s) + 3759*u(s). Let j(w) = -2*w**3 + 15*w**2 - 5*w - 15. Let g be j(7). Is v(g) a prime number?
False
Let i(n) = 44843*n**2 - 560*n + 2243. Is i(4) a prime number?
True
Suppose 22*f = 27*f - 70500. Suppose -2*n = -4*a + f, 4*n - 14120 = -4*a + n. Is a a composite number?
False
Is 30/50 - (-407384)/10 a prime number?
True
Suppose -4*v + 5984 = 21*k - 17*k, -2*v + 4*k + 3022 = 0. Let x = v + 868. Is x a prime number?
False
Suppose 397*u + 7122 = 400*u. Suppose -3960 = -5*g + 5*l, 5*g - 8*g + u = -4*l. Is g a prime number?
False
Let u(d) = 33*d**3 - 8*d**2 - 9*d + 75. Let i be u(5). Suppose -2971 = -2*v + i. Is v a prime number?
True
Is 4/10 + -2 + 14160075/125 a composite number?
False
Let m = 6394 - 1870. Let o = -2075 + m. Is o prime?
False
Suppose c = -4*c + 25. Suppose -4*n + 1095 = c*p, -185 - 5 = -p + 5*n. Suppose -f + p = -584. Is f a composite number?
True
Suppose 0 = -5*m - 4*d + 6027, 0 = -3*m - 3*d + 3523 + 92. Suppose -3*i + 0*i - 4*v + m = 0, 5*i = 5*v + 1965. Is i a prime number?
True
Let k(d) = -d**3 + 124*d**2 + 923*d + 167. Is k(51) composite?
True
Let h(p) = -77*p - 64. Let i(y) = 78*y + 63. Let u(k) = -4*h(k) - 5*i(k). Let v(r) = -246*r - 177. Let d(w) = -17*u(w) + 6*v(w). Is d(-10) prime?
True
Let l = 7179 + -58460. Let x be 3/(-2) - l/38. Suppose 0 = -45*t + 41*t + x. Is t a composite number?
False
Let f(l) = -7*l + 6 + 2104*l**2 + 3976*l**2 - 460*l**2 - 118*l**2. Is f(1) a composite number?
False
Let v be (73/(-3))/((-4)/60). Suppose 0 = 3*g - 5*h - 1165, -g + 405 = -14*h + 9*h. Suppose i - 6*i - 4*s = -v, 5*i - g = -s. Is i a composite number?
True
Suppose -5*p + 84885790 = 27*p + 78*p. Is p prime?
False
Let z(a) = -681*a**3 - 85*a**2 - 489*a + 13. Is z(-6) prime?
True
Let u = 4485 + 9916. Is u composite?
False
Let p be 26/(-10) - 6/(-10). Let x be 2 + (4 + -4)/p. Suppose 0 = 2*d + 3*s - 2243, 0*d + 5*s - 2249 = -x*d. Is d prime?
True
Suppose 2*g - 10972 = 14340. Let k = g - 417. Is k a composite number?
False
Suppose 18 = o - 3*o + 2*q, 0 = -q + 5. Let t = 6 + o. Suppose 5*f + 147 = -2*x + 563, t = f. Is x a prime number?
False
Let s be (0/1 + 1)/((-6)/60). Let c = -2 + s. Is ((-741)/6)/(2/c) - -2 prime?
True
Let x = -15988 + 60935. Is x composite?
True
Let w be 30/(-8)*-12*(4 + -2). Suppose 23*f = 20*f - w. Is ((-27024)/9 - -2)/(20/f) a composite number?
True
Suppose 37*n - 480 = -23*n. Let x(g) = 227*g + 12. Let y(v) = v - 1. Let t(c) = x(c) - 2*y(c). Is t(n) composite?
True
Suppose 5*x = 149 + 351. Let o be (x/60)/(1/3). Suppose 4*m - 64 = -o*j + 917, 0 = 5*m + 4*j - 1215. Is m a prime number?
True
Suppose -32*q - 4*q + 108 = 0. Suppose 3*w + 3*n - 6*n = 15687, 5*w - q*n = 26141. Is w a composite number?
False
Let r be -7 + (-12)/((-12)/(-2)). Let u(d) = -312*d + 173. Is u(r) prime?
False
Suppose -28*k = -27*k + 2150. Let y = k - -3621. Is y a prime number?
True
Let v(z) = 28*z + 4. Let h be v(-1). Is ((-29031)/(-6))/((-6)/h*2) composite?
False
Let i be -12 + 18/3 - -249. Let g = 422 - i. Is g a composite number?
False
Suppose 4*m - 21 = -1, 5*v - 2*m + 10 = 0. Suppose 5*q + 658 - 4023 = v. Is q composite?
False
Let z(t) = -5*t**3 - 9*t**2 + 17*t + 23. Let u(h) = -9*h**3 - 18*h**2 + 33*h + 45. Let x(y) = 6*u(y) - 11*z(y). Let o = 331 + -317. Is x(o) prime?
True
Suppose -15*u - 2235276 = -9*u. Is u/(-90) - (-2)/(-5) prime?
True
Let n be (-3 + (-99)/(-22))/(6/20). Let b(z) = 41*z**3 + 6*z**2 + 23*z - 129. Is b(n) a prime number?
True
Suppose -4*v + 51 = 5*n, 3*v - n - 81 = -v. Is (v + -48)/((-2)/526) composite?
True
Suppose -54601 - 50079 = -4*o - 3*t, 0 = 3*o - 4*t - 78485. Is o prime?
False
Let a = 89 + -170. Let g = -79 - a. Suppose -4*s + 4*l + 2162 = 3*l, -2168 = -4*s - g*l. Is s a prime number?
True
Suppose 49*a - 18*a = 12*a + 8143951. Is a a composite number?
False
Suppose 79*t = -4*t + 16*t + 10732529. Is t composite?
True
Let u(b) = 3*b**3 + 66*b**2 + 11*b + 57. Let g be u(-19). Suppose -c - 1128 = -g. Is c composite?
True
Suppose 0*b + 107280 = 3*b. Let l = -14842 + b. Suppose 2*f - l = -4*o, -3*o - 4*f + 15656 = -9*f. Is o a prime number?
True
Let a be (-22)/(-5) + ((-10)/25)/1. Suppose 2*t = 5*r + 6936, -3*t + a*t = 4*r + 3471. Is t composite?
False
Let p(l) = 29626*l - 399. Is p(8) a composite number?
False
Let y = 180 - 56. Let v(f) = 4*f - 28. Let h be v(8). Suppose 2*x + 3*j - 419 = -y, 2*x - h*j - 274 = 0. Is x prime?
False
Let q be 12/(-8)*282/(-9). Let d = q + -38. Suppose 14127 = d*b + 4740. Is b a composite number?
True
Let z be (-1)/(-4)*(-3 - -3). Suppose -5*a + w - 4*w + 9020 = z, 5*a = -w + 9010. Is a composite?
False
Let o = 11102 + -7807. Let i = o - -2176. Is i composite?
False
Let w = 4229 - 3002. Is (w/(-12))/((-9)/36) prime?
True
Let i be 9112/(-20) + (0 - 9/(-15)). Let d = -73 + i. Let n = -371 - d. Is n a composite number?
False
Let w(q) = 42*q**2 - 3*q. Suppose 28 = -5*h - o + 91, 4*o = 4*h - 36. Let n be w(h). Let g = -2507 + n. Is g composite?
True
Let v(s) = 136*s + 19. Let j be v(11). Let z = 4222 + j. Is z a composite number?
False
Let i(o) = o**2 + 2*o - 22. Let l be i(-6). Suppose -l*y + 1041 = -2*r + y, -2630 = 5*r - 2*y. Is (7 + r)/((-1)/1) prime?
True
Let w(q) = -1707*q + 1475. Is w(-6) a composite number?
False
Suppose 5*x = -2*d + 10, 2*x = 4*d - 2*x + 8. Suppose -5*u + 2*t + 51585 = d, -u - 3*t + 7*t = -10299. Is u a composite number?
True
Let q(i) = -16*i - 107. Let z be q(-7). Suppose 4*h - 181809 = -z*h. Is h composite?
False
Let x(j) be the second derivative of j**4 + 5*j**3/2 - 5*j**2 - j - 16. Is x(-7) composite?
True
Let i(q) = -13*q + 898. Let u be i(-2). Suppose 1622 = 4*s - 486. Let j = u - s. Is j composite?
False
Is (-4)/6*(-57)/19*(-382678)/(-4) a prime number?
True
Suppose 0 = 12*s - 7*s - 85. Is ((-1802)/s)/(3 - (-53)/(-17)) prime?
False
Suppose -4270 = -3*t - 487. Let h = 5072 + -5073. Is h*(-1 - (t - 3)) prime?
True
Is (-1 + 0)*-7 + -196984*90/(-40) a prime number?
True
Suppose 1874*r = 1902*r - 324548. Is r composite?
True
Let n(k) = 153*k**2 + 2*k - 55. Let m(y) = 7*y - 90. Let g be m(14). Is n(g) a prime number?
False
Let x = 16 - 13. Suppose x*b - 42 = -t, 2*t + 81 = 5*b - 0*b. Is ((-12)/b)/(2/(-335)) composite?
True
Let l(q) = -4004*q**3 + 4*q**2 - 6. Let u be l(-2). Suppose 71390 + u = 8*n. Suppose 7*v - n = -0*v. Is v a prime number?
True
Suppose 0 = -4*d - 4*n + 1202932, -d - 63*n + 300763 = -67*n. Is d a composite number?
False
Is (-39)/9 - (-2)/6 - (-101 - 12122) prime?
False
Let a(f) = 2*f**2 - 4*f + 2. Let j be a(2). Suppose -9*h + 4*h = -o - 25, -2*h + 10 = 8*o. Suppose 0*r = -h*r - 10, 4*y - 18328 = -j*r. Is y a composite number?
False
Let f = -38 - -41. Suppose -2*h - f*h + 28 = q, -2*q = -2*h + 4. Let w(p) = 14*p - 5. Is w(q) prime?
True
Is 584672/8 - (-4 - (1 + 2)) prime?
True
Suppose 82*a - 5497534 = -100550 - 679770. Is a composite?
False
Let s = 116 + -62. Let c = s + -50. Suppose -5*k 