True
Let h(k) = 18*k**2 - 9*k - 2. Is h(-5) prime?
False
Is (-9 + (-74000)/30)*-1*3 a composite number?
True
Let j(r) = -6*r**3 + 7*r**2 - 8. Suppose 0 = -4*y + 1 - 21. Is j(y) a prime number?
False
Suppose 4*c = -q - 107, 4*c = 3*q + q - 132. Let t be 1/(-3) + c/(-12). Is t/(5/(1395/6)) composite?
True
Suppose f = 2*v + 2744, f - 366 = -2*v + 2358. Is f prime?
False
Suppose -6*t = -8*t - 6. Let v(l) = -553*l - 20. Is v(t) composite?
True
Let n(g) = g**3 - 7*g**2 + 6*g + 4. Let p be n(6). Suppose -2*w = -j + p, 3*w + 4 = 4*w + j. Suppose l + 3*l - 316 = w. Is l a composite number?
False
Suppose 2*m + 28553 = 9*m. Is m a composite number?
False
Suppose 2*t = -2*v - t + 16, -3*v = t - 17. Suppose -v*w = 137 - 972. Is w a composite number?
False
Is 44*(-11)/44 - -3510 a composite number?
False
Let q = -29 - -30. Let h be 3015/(-36) + q/(-4). Let u = h + 121. Is u composite?
False
Let c = -1047 - -2677. Suppose 1133 = 9*b - c. Is b a composite number?
False
Let f = -3500 - -10503. Is f composite?
True
Let t(n) = 18*n**2 - 14*n - 25. Is t(-13) a prime number?
False
Is (5 - -1978) + 5/(-15)*-12 a prime number?
True
Let c(g) = -53*g**2 - g + 2. Let w be c(-3). Let p = 701 + w. Let v = p - 18. Is v composite?
False
Let i = 8 + -3. Suppose i*t + h = 3666, 5*t - t - 5*h = 2927. Is t a prime number?
True
Let g be ((-3 + 3)/(-2))/(-1). Suppose 211 = u - 4*y + 6*y, g = -2*u - y + 428. Is u composite?
True
Suppose 2*m - 16 = -b + 5*m, 0 = -b - 4*m - 19. Suppose y + 2*y = -4*n + 19, -n - 2*y + b = 0. Suppose -249 = n*a - 10*a. Is a a composite number?
False
Suppose 3*f = -5*o + 11832, -3*f - 7*o = -12*o - 11862. Is f prime?
False
Suppose 22798 = 2*c - 2*r, 4*c - 3*r - 45596 = -0*c. Is c a composite number?
False
Is (19/(-57))/((-1)/27273) a composite number?
False
Suppose n - 4*j + 201 = 0, -2*n - 4*j - 350 = j. Let h = -104 - n. Suppose -5*c - 5*q + 559 = -h, q + 658 = 5*c. Is c a prime number?
True
Let d be (26/(-39))/(4/(-90)). Is (1115/d)/((-2)/(-6)) a prime number?
True
Let k = 0 - -2. Let r(u) = -8*u + 3*u**3 + k*u**3 + 4 - 4*u**3. Is r(5) a composite number?
False
Let s(k) = 25*k**2 + 12*k - 3. Let o be ((-8)/3)/(3/(-9)). Is s(o) composite?
False
Let a(c) = c**2 + c - 1. Let f = 13 + -17. Let i be a(f). Let m(k) = 7*k + 6. Is m(i) a prime number?
True
Suppose -89 = -s - 2. Suppose 4*h = 2*j - 500, -3*h - 216 = -2*j + 281. Let w = j - s. Is w composite?
False
Suppose 302096 = 77*u - 967403. Is u composite?
False
Let r(w) = 3*w - 3. Let t be r(3). Suppose t*p - 967 = 575. Is p a composite number?
False
Suppose -m + 4*j + 434 = -490, -3*j - 2772 = -3*m. Let v = m + -69. Suppose -4*r + v = -161. Is r composite?
True
Is 35/7*-1 + 14699 + -1 prime?
False
Let r(o) = 559*o - 2. Let u be r(8). Let z = 7301 - u. Is z prime?
False
Let q(k) = -k**3 - 12*k**2 - 12*k. Let x be q(-9). Let v = x + -47. Let c = 511 + v. Is c composite?
True
Let c be (2 + -10)*1818/(-4). Suppose 5*x - 2568 + 392 = -3*w, 5*w = x + c. Suppose -w - 268 = -5*z. Is z composite?
False
Let p = 96 - 86. Suppose 0*h + 1490 = p*h. Is h composite?
False
Suppose -5*x + 2235 = -3*d + 13207, d = 4*x + 3655. Is d a composite number?
False
Let c(l) be the second derivative of -l**4/24 + 35*l**3/6 + 7*l**2/2 - l. Let d(o) be the first derivative of c(o). Is d(0) prime?
False
Let s(k) = -k**2 - 20*k. Let f be s(-20). Let j(u) = -u - 3. Let x be j(f). Is -3 - (x - -2) - -415 composite?
True
Is (2 + 16/(-10))*(1384 - -1) a composite number?
True
Let x = 6906 - 4427. Is x a prime number?
False
Let k(w) = -150*w + 69613. Is k(0) a composite number?
True
Let r = 511 + -302. Is r composite?
True
Suppose 0 = 11*s + 442 + 53. Suppose -42 = -j + 61. Let b = s + j. Is b a composite number?
True
Suppose 25 = -3*i - 14. Let u = 8 + i. Let x(p) = p**3 + 11*p**2 + 6*p - 5. Is x(u) composite?
True
Suppose 3*n - 7*n - 180 = 0. Is (-410)/(-18) + 1 + 35/n composite?
False
Let c be -25*(24/(-15) - -1). Suppose 0 = 5*y - c, -y + 11 = -6*n + 2*n. Is (n/1)/2 + 288 composite?
True
Let w = -5 + 5. Suppose w = 4*d + 14 + 6, 5*d + 163 = 2*l. Is l composite?
True
Let l(p) = -96*p**3 + 8*p**2 + 12*p + 37. Is l(-6) a composite number?
True
Let c(l) = -19*l**2 - 3*l - 4. Let d be c(-3). Let i(u) = 60*u**2 + u + 3. Let x be i(2). Let p = d + x. Is p composite?
False
Let q be (4/8)/1*-610. Let r = 211 + q. Is r*(0 + 4 + -5) a prime number?
False
Let k be ((-4)/2)/(-4)*10. Let t be -3 + 2 + -1 + 15/3. Suppose -2*z = -2, -5*p - t*z + k*z = -1883. Is p a composite number?
True
Suppose -5*i = -0*i - 280. Let z = -23 + i. Is z a prime number?
False
Suppose -5*r - 16 = 189. Let b = 961 + -651. Let t = b + r. Is t a composite number?
False
Is (-206410)/(-18) + (-44)/198 a composite number?
False
Suppose 0 = d - 128 - 109. Let u = -74 + d. Is u a composite number?
False
Let k be (3/2)/((-3)/4). Let n be (-1)/(-1) + k + -24. Let q = n - -243. Is q prime?
False
Let w(i) = 72*i**2 - 30*i - 155. Is w(-15) prime?
False
Let p be 2 - (6/2 - 1313). Let d = p + -494. Suppose 0 = 3*u - d + 257. Is u a composite number?
True
Suppose 0 = 2*c + 733 - 2889. Let k = 3069 - c. Let n = k - 630. Is n a prime number?
True
Suppose 8 = 5*h - 12. Let i be 4 + 639 + (3 - h). Let z = -391 + i. Is z composite?
False
Let l(g) = 16*g**2 + 4*g + 1. Suppose 0 = i + 5*i + 18. Is l(i) a prime number?
False
Suppose 2*t - 1982 = 2204. Let h = t + -1024. Is h a composite number?
False
Suppose v = -4*y + 4*v + 25616, 0 = -2*y - v + 12798. Is y prime?
False
Suppose -31*s - 2*s = -410883. Is s composite?
False
Let b = 149 + 987. Suppose -3*g + b = g. Suppose 0 = 5*p - 4*h - 710, -h = -2*p + h + g. Is p a composite number?
True
Suppose 3*l - 25 = -2*l. Suppose 2*v = 2*b - b - 3, -2*v = l*b - 15. Suppose -4*x - 71 = -z, v = x - 5. Is z a composite number?
True
Let t(v) = -v**3 + 5*v**2 + 5*v + 8. Let i be t(6). Suppose -i*z = -z + 417. Is z/(-5) + (-4)/10 a composite number?
False
Suppose 5*x + h + 45 = 0, 2*x + 2*x + 2*h + 42 = 0. Let q(r) = r + 11. Let p be q(x). Suppose -2*l - o + 1144 = l, -2*l - p*o = -765. Is l a composite number?
True
Let a be ((-12)/(-20))/((-1)/(-5)). Suppose 0 = 2*u - 4*k - 152, a*k = -5*u - 2*k + 425. Let g = 139 - u. Is g prime?
False
Let m be 233 + (7 + -4 - 0). Suppose 0 = -3*n + 7*n - m. Is n prime?
True
Suppose -n = 3*m - 35437 + 8006, 4*m = -16. Is n a prime number?
False
Is (-420983)/(-285) - (2 + 84/(-45)) prime?
False
Let j(s) = 37*s**2 - 30*s**2 + 11*s**2 + 14 + 3*s. Is j(5) composite?
False
Let x(i) = 1392*i**2 + 5. Let h be x(-4). Suppose -h + 3367 = -10*y. Is y prime?
False
Suppose 0 = m - 2, 3204 = -3*s + 2*m + 17363. Is s a prime number?
True
Suppose -4*s = -2*r - 2666, -s + r = -6*s + 3350. Is s prime?
False
Suppose k = -3*o - 4*k + 6, -o + 2*k = -2. Suppose 122 = o*h + 5*i - 3*i, 0 = -5*h - i + 297. Is h composite?
False
Let p = 15815 + -9445. Suppose -5*r - 3*y + p = 0, 0 = -4*r - 2*y + 6546 - 1448. Is r a composite number?
False
Let d(a) = 160*a**3 + 7*a**2 + 9*a + 17. Is d(8) a composite number?
False
Let p = -5 + 3. Is (22/(-44))/(p/332) a prime number?
True
Suppose 48 = -16*x + 19*x. Let h(g) = 30*g + 13. Is h(x) a prime number?
False
Let g(s) be the third derivative of 19*s**5/60 + s**4/24 + 19*s**3/6 - 33*s**2. Is g(-13) a composite number?
False
Let q(a) = 11*a**2 - 9*a + 7. Is q(-4) a composite number?
True
Suppose 121549 = 10*d - 168021. Is d composite?
True
Let l(u) be the third derivative of -3*u**2 + 11/8*u**4 + 0*u - 5/6*u**3 + 0. Is l(7) a prime number?
False
Let h be (-30)/20*46/(-3). Suppose -4*j + 1211 = h. Suppose -4*a = -c + j, 0 = 3*a - 2 - 4. Is c composite?
True
Let r = 916 + -402. Is r composite?
True
Suppose 2*g - g + 172 = 0. Let s = -85 - g. Suppose -26 = -j + s. Is j a prime number?
True
Suppose 6*o = -0*o + 287598. Is o a prime number?
True
Suppose -f - 7 = 5*q - 3, 0 = 2*q + 4*f + 16. Suppose u - 21 = -6*u. Suppose 4*x - 2*b - 403 - 629 = 0, q = -u*x - 5*b + 787. Is x a composite number?
True
Let b(r) = -2*r + 16. Let i be b(-13). Suppose -i*f + 1338 = -36*f. Is f prime?
True
Let w(k) = -k**2 - 5*k + 8. Let i be w(-6). Let f be -2*i*(-2)/8. Is f - (-20)/(-1 - -2) composite?
True
Suppose 10*o = 12*o - 268. Suppose 0 = -i - i + o. Is i a composite number?
False
Let y(i) = 7085*i - 249. Is y(10) composite