l. Is n a prime number?
True
Let w = 301 + -309. Is (16/17)/w - 29346/(-34) a composite number?
False
Let o be 11*((-1)/(-1))/1. Let r(u) = 2 - 1 - 63*u - 5*u**2 + 43*u + 15*u**2. Is r(o) a composite number?
False
Let n(s) = 122641*s - 8. Let a be n(2). Is (1 + 0)/(6/a) prime?
True
Suppose -i - 95656 = 18*v - 21*v, -4*v = i - 127525. Is v prime?
True
Suppose 27 = 139*h - 130*h. Suppose 0 = -h*c - x + 8947, 5*c + x = -2008 + 16917. Is c a prime number?
False
Let q be ((-16)/40)/(6/(-236805)). Suppose 3*j - 10545 - q = 5*k, 3*k + 35113 = 4*j. Is j prime?
True
Let t = -22917 + 15367. Let a = -4246 - t. Suppose a + 3628 = 4*y. Is y a composite number?
False
Suppose 3*t + 10796 = -4*l, -4*t - 9853 = 2*l + 4535. Let i = 16435 + t. Is i prime?
False
Suppose -4*d = -4*w + 29280, 0*w + 3 = -w. Let x = -4116 - d. Is x a composite number?
True
Let m(r) = 5571*r + 4150. Is m(23) prime?
True
Let l = 5713 - 3082. Is l composite?
True
Let d(m) = 8*m**2 + 82*m - 100. Let s(z) = 3*z**2 + 33*z - 40. Let h(a) = -5*d(a) + 12*s(a). Let q be h(-15). Let l = 73 - q. Is l a composite number?
False
Let c = 204 + -174. Is (-2)/(-12) - 5/c*-22277 a composite number?
True
Suppose 11*p = 25*p - 1808338. Is p a prime number?
False
Let b(l) = 2*l**3 + 3*l**2 + 5*l - 3. Let u be b(3). Suppose -1874 = -3*c + 2*d, 0 = -2*c + 2*d + 3*d + 1242. Let x = c + u. Is x a prime number?
True
Let m = -251 + 249. Is 1 + (m - 2) - -13704 prime?
False
Let s = 886491 - 499682. Is s a composite number?
False
Suppose -2*x = -4*v - 17986, -4*x - 6*v + 35996 = -2*v. Let i = 1229 + x. Is i composite?
True
Suppose g = p - 2983 - 3250, 4*p - g = 24944. Suppose -7*y + 44534 = p. Is y prime?
True
Suppose -51*h + 2154797 + 6054520 = 0. Is h prime?
True
Let a be (1 - -104) + 9 + -14. Let w = -63 + a. Suppose 0 = 3*u - 68 - w. Is u a prime number?
False
Let f(s) = -18181*s - 838. Is f(-5) prime?
True
Let c(a) = 5*a**2 + 7*a - 931. Let k(g) = g**2 + g + 1. Let v(f) = -c(f) + 6*k(f). Let w be -5 - ((-2)/(-3) + (-136)/24). Is v(w) a composite number?
False
Suppose 3*k + 19 + 5 = 0. Suppose 0 = -5*z + 4*h - 13292, 18*z - 15*z - 2*h + 7976 = 0. Is 15/(-10) + z/k composite?
False
Suppose 8556 = 3*g + 3*s, 0 = 40*g - 36*g + 2*s - 11394. Is g a prime number?
False
Let z be 6/((-1 - (-4)/2) + -3). Let y(u) = -2369*u + 14. Is y(z) a composite number?
False
Let b be 6/(-15)*1*(3 + 2). Let s be ((-24)/9 - b)*-3. Is (-4 - s) + 3 - (1 - 1675) prime?
False
Suppose 76*s = 83*s + 35. Let m(z) be the second derivative of -z**5/5 + 5*z**4/12 - 5*z**3/6 - 15*z**2/2 - 4*z. Is m(s) composite?
True
Suppose 4019*n - 992274 = 3987*n + 401038. Is n composite?
False
Suppose -5*n = f - 404099 + 141939, 3*n = -f + 157294. Is n a composite number?
False
Let m = 115052 - 45470. Is 5/(210/m) - (-2)/7 composite?
False
Is (73447924/(-99) + 6*5/135)/(-2) a prime number?
True
Let s = -115 + 119. Suppose -188 = -4*y + 3*y + s*f, -5*y = 5*f - 1065. Let q = y - 102. Is q a composite number?
True
Let k = 202 - 202. Suppose k = 6*w + 160 - 2098. Is w a composite number?
True
Let a(z) = z**2 - 14*z - 9. Let o be a(15). Let g(m) = o*m - 5*m - 28 + 2*m. Is g(10) a composite number?
False
Let y = 198 - 1003. Let r = 1323 - 7. Let d = r + y. Is d prime?
False
Suppose -3*o = d - 18, 4*d + 1 = -o + 6*d. Suppose -489 = o*f - 19994. Is f prime?
False
Let k be (2 + -4)*(-927 + 5). Suppose w - k - 79 = 0. Is w composite?
True
Suppose -11 - 3 = -2*w. Let i(f) be the second derivative of f**5/10 + f**4/4 + f**3 + f**2 + 240*f. Is i(w) a composite number?
False
Suppose -2*o = 589 + 381. Let v = -966 + 1665. Let w = o + v. Is w a composite number?
True
Let h(q) = 6260*q - 27. Suppose k - 5*l - 14 = 0, -3*k - 13*l = -9*l - 4. Is h(k) a composite number?
False
Let m(f) = 90129*f - 763. Is m(1) composite?
True
Let x(l) = -86*l + 4. Let w be (-9)/(-6) - (-10)/(-4). Let c be x(w). Is (c/(-4))/9*-134 prime?
False
Suppose 0 = 10*b + 6*b - 5392. Suppose 333*c = b*c - 7928. Is c a composite number?
True
Let b = 678 + -606. Suppose b*f = 69*f + 8589. Is f a composite number?
True
Let s = 81 - 79. Let q be 13/(13/6)*s/(-4). Is 115/20*(215 + q) composite?
True
Suppose f + 2*p - 4369 = 5*p, 13131 = 3*f - p. Suppose -3*u - 122 = f. Let c = -817 - u. Is c composite?
False
Suppose -139*w + 138*w + 4 = 0. Suppose -7390 = -4*p + w*v - 6*v, -3*p = 3*v - 5544. Is p prime?
True
Let p(j) = 145*j**2 - 153*j - 5. Is p(23) a prime number?
True
Let j be (-13050)/27*36/(-10). Let u = -1225 + j. Is u a prime number?
False
Let x be (-12)/(-42) - 156/(-42). Suppose 5*l = -15, 5*k - x*k - 2167 = -2*l. Is k a prime number?
False
Let w(m) = -m**3 + 5*m**2 + 7*m - 1. Let f be w(6). Suppose f*y - 25 = -0*y. Suppose y*h + 4*r - 11987 = 0, -3*r = 3*h - 2*r - 7188. Is h prime?
False
Let r(n) = -21966*n - 4673. Is r(-20) composite?
False
Let r(o) = -o**2 + o + 1. Let i be (-2)/(-3)*39/(-26). Let c(m) = 4*m**2 - 14*m + 16. Let z(y) = i*c(y) - 5*r(y). Is z(6) composite?
True
Suppose 0*c + 4*d = -c - 1, 3*c - 5*d - 48 = 0. Suppose c*i - 120 = -10. Is (647/(-2) - 0)/((-5)/i) prime?
True
Let n(q) be the first derivative of -8*q**5/15 + 11*q**4/24 - 3*q**3 - 2. Let k(g) be the third derivative of n(g). Is k(-3) prime?
False
Suppose u - 4*w - 350329 = 0, 0 = 5*u + 3*w + 135715 - 1887429. Is u a prime number?
False
Suppose 47*b - 79*b = -29248. Suppose -b = 7*l - 2573. Is l a prime number?
False
Suppose 3*v + 11184 = 15*v. Suppose -5*i + 10957 - v = 0. Suppose 7*q - 2*q = i. Is q a composite number?
False
Let a = -289 + 6486. Is a prime?
True
Let s be 32/(-20)*(-11)/((-22)/(-21540)). Let j = -6931 + s. Is j a composite number?
False
Let d(g) = 504*g + 192083. Is d(0) a composite number?
True
Let t(m) = m**2 - 2*m - 1. Let x be t(-1). Suppose x*z - 59096 = -6*z. Suppose 2*j + 2*j = -v + z, -5*v = -5*j + 9240. Is j prime?
True
Let m = 91 - 87. Suppose -1 - 31 = -m*i. Suppose 9*n = i + 19. Is n a prime number?
True
Suppose -12 = -2*g - 4. Suppose -5*n - 6786 = -3*j + 10634, 5*j = -g*n + 29095. Is j prime?
False
Let s(w) = -5306*w + 1297. Is s(-5) a composite number?
False
Let p(k) = -104*k**2 + 5*k - 1. Let t be p(7). Is t/6*(3 + 3 + -9) a prime number?
True
Let b = 35304 + 74683. Is b a composite number?
False
Let b(q) = -1. Let w(l) = 5*l - 16. Let m(r) = -b(r) + w(r). Let h be m(6). Let s(t) = 48*t - 11. Is s(h) a prime number?
True
Let v = 387 + -393. Let k(r) = -1138*r - 25. Is k(v) prime?
True
Let v(c) = 1338*c**2 - 9*c + 49. Is v(4) composite?
True
Let m(v) = -v**3 - 16*v**2 + 18*v + 14. Let k be m(-17). Let w be ((-2)/k)/(4 - 6)*0. Suppose 6*s + 220 - 1366 = w. Is s a prime number?
True
Suppose -2*q + 103378 = c - 39886, -2*c = 5*q - 358161. Is q a composite number?
False
Is (-15)/3 - (-13 + -24183) a composite number?
True
Let i be ((-10425)/20)/5*-12. Suppose -i = 6*q - 5277. Is q prime?
False
Let x(n) = 497328*n**3 - 2*n**2 - 562*n + 563. Is x(1) a composite number?
True
Suppose -t + v + 136460 = 0, -166*t - 409386 = -169*t + v. Is t prime?
True
Suppose -2*c = -5*c + 6. Suppose 5*r - 4*m - 8649 = 0, r + c*m - 7*m - 1713 = 0. Is r prime?
True
Let j be (510 + 10)/(2/86) + 4. Suppose v - j = -3*v. Suppose -2*p - 2307 - v = -4*s, 0 = -3*s - p + 5916. Is s a composite number?
False
Suppose 3768*d - 3762*d - 619842 = 0. Is d composite?
False
Suppose -2*t = 4*v - 8, -2*t + v - 6*v = -8. Suppose 1262 = 3*r + 5*y - 509, 3*y = t*r - 2313. Suppose 2*x = -2*n + 566, 3*x - r = x + 2*n. Is x composite?
True
Let y be 20 + (-7 + 1 - -4). Suppose 0 = -y*s + 37*s - 147991. Is s a prime number?
True
Suppose f + 5*x = 2 - 19, -5*x = 0. Let l(s) = 1188*s - 24 - 2524*s + 1215*s. Is l(f) composite?
True
Is 51878/3*(105/(-42) + 4) a composite number?
False
Suppose 3*b + 85218 = -39*b + 317646. Is b a composite number?
True
Let z be 92/(-2) + 4/(-4). Let f = z + -3. Let k = 65 - f. Is k composite?
True
Let q = 5490 + 827. Is q a prime number?
True
Let z = -240815 + 412306. Is z a prime number?
True
Let w(j) = -j + 64*j**2 + 51*j**2 - 17 + 14*j. Is w(5) composite?
True
Suppose 0 = 4*l + 5*r - 31, 2*r - 5*r - 57 = -3*l. Suppose l*z - 4*z - 35730 = 0. Suppose 0 = 4*a - z - 5039. Is a a prime number?
True
Suppose -874020 = -371*i + 351*i + 6500. Is i a prime number?
False
Let x(l) be the first derivative of -3*l**2/2 -