
Let i(h) = h**3 - 32*h**2 + 85*h - 47. Let p be i(25). Let u = p - -7678. Is u a prime number?
True
Let d be 506/88 + (-3)/(-12). Is (-1)/d - (-80430)/36 a composite number?
True
Is 1077346/4 - (17 - 1369/74) composite?
True
Is 3/((-54)/(-9416762)) + 584/(-1314) prime?
False
Let r(x) = -2*x**3 - 16*x**2 - 10. Let v be r(-13). Suppose -d - v = -n - 130, -5*d = 25. Suppose 0 = 5*s - n - 320. Is s composite?
False
Suppose -133*x = 923519 - 6919558. Is x a prime number?
True
Let f(u) = 1943*u**3 - 2*u**2 - 3*u + 1. Let t(a) = -5830*a**3 + 6*a**2 + 8*a - 3. Let h(n) = -8*f(n) - 3*t(n). Is h(1) a composite number?
True
Let g be 2 - (348/(-14))/((-33)/10626). Let n = 37919 + g. Is n a prime number?
True
Let u = -79736 + 332829. Is u a prime number?
False
Suppose -35*d - 3*y - 5468555 = -39*d, -6*y + 2734300 = 2*d. Is d composite?
False
Let z(n) = 410*n + 43. Suppose -f + 60 = 5*t, -4*t + 9 + 39 = 2*f. Is z(t) a composite number?
True
Let q be ((-1)/(-3))/(1/(-12)). Let i(p) = -127*p - 17. Let w be i(q). Let v = 822 - w. Is v prime?
True
Let g = 1 - -8. Suppose w + 5 = -s, -5*w - g = -5*s + 6. Is w + -1 + 374*5 composite?
True
Let z = -36917 - -125944. Is z prime?
False
Let x = -258 - -255. Let t(y) = -1877*y - 8. Is t(x) prime?
True
Let q(y) = y**3 + 19*y**2 - 25*y + 13. Let z be 3960/270 + (-2)/(-6) + -1. Is q(z) a prime number?
True
Let c be 0 + (4 - 8) + 6. Suppose -c*a + 9 = -13. Let q(v) = 250*v - 45. Is q(a) composite?
True
Let v be 4/(3 + 0 + -5) - -5. Let y = v + 83. Let g = 271 - y. Is g composite?
True
Let y be -7 + 6 + (-2)/(-2)*6. Suppose 0 = -5*f + y*p + 61052 + 12938, -f + 3*p + 14800 = 0. Is f a prime number?
True
Let d = -73 + 84. Let p(c) = c**2 - 15*c - 14. Let b be p(d). Is (b/3)/(3/((-126)/4)) prime?
False
Is -5 - (-16357*(7 - 4) - -9) prime?
True
Let h = -67 + 88. Let r(p) = -2*p + 9. Let o be r(h). Is 15602/22 - (-6)/o a prime number?
True
Suppose 0 = -16*f + 48 + 16. Suppose -r + 3*a = -5638, -3*r + f*a = -16230 - 699. Is r a prime number?
True
Suppose -10*s + 56 + 24 = 0. Is (s - (-6)/(-2)) + 118752/6 a composite number?
True
Let q(s) = 77743*s**2 - 5*s - 2. Is q(-1) composite?
True
Let u = -120626 - -170107. Is u composite?
False
Suppose -2*a + 51*i + 1987099 = 48*i, 993525 = a + 2*i. Is a a prime number?
False
Suppose 516*n + 216*n + 162923047 = 843229939. Is n a composite number?
False
Let k be (-15)/(8 - -7) - -2907. Suppose 3*p - 12210 = -3*g, g + p - 6*p = 4088. Let h = g + k. Is h composite?
True
Let i(l) = 4141*l**2 - 128*l + 17. Is i(4) composite?
False
Let o = 14691 + -4746. Suppose -y - 17671 - o = -h, 2*h + y = 55217. Is h prime?
True
Let m = 181 + -181. Let k = 7205 - 4272. Suppose m*s = -7*s + k. Is s composite?
False
Suppose -1672 + 12220 = 3*t. Let v = -1828 + t. Suppose -m + 3*s = -2*s - 434, 4*s + v = 4*m. Is m prime?
True
Let w(j) = 62*j**2 + 5*j - 2. Let k(c) = 63*c**2 + 4*c - 2. Let q(f) = 6*k(f) - 5*w(f). Let d be q(2). Suppose 0 = 10*u - 6*u - d. Is u a prime number?
True
Suppose -2*c + 695106 = -2*l, 151*l = -c + 146*l + 347517. Is c composite?
True
Let s = 30932 - 15363. Is s a composite number?
False
Let r = -1707 - 7083. Let a = 13373 + r. Is a a composite number?
False
Suppose 736*r - 216715 = 731*r. Is r a composite number?
True
Let b(x) = -4022*x + 1089. Is b(-46) composite?
True
Let n be (-10)/(-8) - (-1008)/64. Suppose -4*f + n = 5*z + 5, 0 = -2*z - 8. Is 1121*(-2)/f*(2 + -6) composite?
True
Let g be (0 + (3 - 4))*2. Let h be (20/(-15))/g*6. Suppose -2*x + 4*v + 3125 = 3*x, 4*x - 2496 = h*v. Is x prime?
False
Suppose -318*t + 70616368 = -64*t + 18*t. Is t composite?
False
Let h = -93 + 100. Suppose h*d - 3*d = -8692. Let o = -14 - d. Is o composite?
True
Let k(p) = -989*p + 1. Let f be k(2). Suppose -21357 - 2341 = 17*z. Let t = z - f. Is t a composite number?
True
Is 173245/(-2)*((-510)/15 - -32) a prime number?
False
Let v(n) = -8292*n + 1459. Is v(-5) a composite number?
True
Suppose 4*x - c - 729 = 2*c, 4*x + 2*c - 754 = 0. Let q = -378 + x. Let r = q - -415. Is r prime?
True
Suppose -l = 3, 2*y + 146 = -5*l + 4295. Suppose 0 = -5*a - o + 15381, a - o - 3073 = 2*o. Suppose a = 2*r - y. Is r a prime number?
True
Let y = 8693 + 37680. Is y a prime number?
False
Suppose 218*q - 291100 = 42*q - 29*q. Let b(u) = -u + 11. Let p be b(5). Is (p - 7)*q/(-4) prime?
False
Let t(b) = -2642*b - 17457. Is t(-62) composite?
False
Is 1/((-160)/26 + 6 - (-1159506)/7536282) prime?
False
Let r be 18/8 + 11/(-44). Let v be r*(-3 + (-332)/(-8) + -1). Let q = v + -20. Is q prime?
False
Suppose -10*i = -17*i + 22631. Suppose 6*k = 1045 + i. Is k a prime number?
False
Suppose -3*h = 5*n - 208607, 54*n = 52*n - 5*h + 83458. Is n a composite number?
False
Suppose -5*i - 872518 = -3*a, 2*a - 581647 = -18*i + 15*i. Is a a composite number?
True
Is (3/2)/(350/(-28) + 12) - -131812 composite?
True
Suppose -q + 80301 = -3*c, 5*q - 185*c - 401409 = -182*c. Is q composite?
True
Suppose -81298 = -q - 5*q - 4*c, 4*c + 13545 = q. Is q a composite number?
True
Let u(o) = -o**2 + 7*o + 46. Let x be u(-4). Suppose -9*r - 27299 = -3*y - 8*r, -y + x*r + 9093 = 0. Is y composite?
True
Let f be (1/(-2))/(-4 - 75/(-20)). Suppose 1812 = -4*i - 2*c, -f*c = -3*i - 0*i - 1373. Let u = 748 + i. Is u a composite number?
False
Let k(o) = 7*o**2 + 5*o + 4. Let d(b) = -b**2 - b + 1. Let j(a) = 5*d(a) + k(a). Suppose -9*l = 15*l + 120. Is j(l) prime?
True
Let r = -341970 - -826957. Is r a prime number?
True
Let o(r) = -9*r - 95. Let q be o(-15). Suppose 0 = q*f - 34*f - 6252. Is f a prime number?
False
Let p(t) = -79 + 64 - t + 36. Let i be p(5). Suppose i*q + 672 = 13328. Is q a prime number?
False
Let a(u) = -2*u**3 - 9*u**2 + 10*u - 1. Let q be a(-7). Let v be 0/2 - 1/(-1)*4. Suppose 0 = -v*d + 2*d + q. Is d prime?
False
Suppose 4*r - 1267 = b, -4*b - 448 = -3*r + 512. Let y = r + -101. Is y a prime number?
False
Let f(s) be the first derivative of s**5/12 - s**4/3 - s**3/3 - 6*s**2 + 9. Let a(x) be the second derivative of f(x). Is a(19) a prime number?
False
Let y be (-13506)/(13/(78/9)). Let l = y - -27503. Is l composite?
True
Suppose 31 = 9*g - 5. Suppose -g*r - 26551 = -11*r. Is r prime?
True
Let u(q) = 7*q**3 - 13*q**2 + 21*q - 15. Let l(b) = 3*b**3 - 7*b**2 + 10*b - 7. Let r(a) = -5*l(a) + 2*u(a). Let v be r(8). Is 4 + 5/(v/861) a composite number?
True
Let h(j) = -7*j - 23. Let f be h(-6). Suppose -30691 = -f*t + 10216. Is t composite?
False
Suppose -4*p = 5*v + 7, -3*v = 2*p - 4 + 7. Let x be (-2 - v/1) + 7. Suppose 2*s - 93 = s + x*u, -u = 0. Is s composite?
True
Let b be 5224 - 2 - (3 - 6 - -7). Is (0 - b)*5*(-11)/110 composite?
False
Let l = -334860 + 473111. Is l a prime number?
True
Is 71425 + (-4 + 100/30)*12 a composite number?
True
Let a be (20/(-2))/(2/1). Let h(p) = -p**2. Let y(w) = -3*w - 13. Let m(k) = a*h(k) - y(k). Is m(6) prime?
True
Suppose 2778859 = 3*f + 5*k, -24*k + 25*k = -2*f + 1852582. Is f a composite number?
False
Let t = -4101 + 2163. Let f = -1004 - t. Suppose -f = -2*h - j, 6*h = h - j + 2335. Is h a prime number?
True
Suppose -6*z + 1716272 = -1432462. Is z composite?
False
Suppose 70*d = 79*d - 183501. Is d prime?
True
Let k = -99821 - -55323. Let m = -13027 - k. Is m a prime number?
False
Suppose -14*u - 15*u = -464. Let c(i) = 2*i**3 - 18*i**2 - 6*i - 61. Is c(u) prime?
False
Suppose 5*p - 27*u - 12630757 = -29*u, -4*p + 10104584 = 4*u. Is p prime?
False
Let w be ((-14)/(-3))/((-34)/(-8517)). Let i be 215/(-2)*40/(-25). Let q = w - i. Is q prime?
True
Let r(n) be the second derivative of 341*n**3/6 - 85*n**2 + 35*n. Is r(17) a prime number?
False
Let p = 12 + -8. Suppose p*j - 4764 = -3*q, 2091 + 291 = 2*j - 3*q. Is j composite?
True
Let a = 86 - 83. Suppose 0 = w - a*v - 352 - 423, -3*w + 2341 = -5*v. Is w prime?
True
Suppose 162724 = 4*p + 13*p. Suppose -3*u = u - p. Is u prime?
True
Let k be -5*97*((-216)/(-10))/(-12). Suppose -o + 4*o - 3*w = k, o = 5*w + 307. Is o a prime number?
False
Suppose 2*j + 3*j = 5*n - 395, 3*j = -5*n + 355. Let s be (-1 + (n - 6))*(0 + 15). Suppose 7*y - s = 1004. Is y composite?
True
Suppose 540 = -2*z + 4*t, 0*t + 808 = -3*z + 5*t. Let d = 1517 - z. Is d prime?
True
Let y be (18/5)/(-1 - 68/(-60)). Suppose -28*t + y*t = -647. Is t prime?
True
Suppose -a = -4*a 