e
Is (253/33)/((-8)/(-4728)) composite?
True
Suppose d - u - 11 = 0, 3*u + 20 = -2*u. Let h(i) = i**2 - 14*i - 13. Let k(n) = -2*n**2 + 10*n + 17. Let l(g) = -2*h(g) - 3*k(g). Is l(d) prime?
True
Let t(w) = -103*w**2 + 17*w + 135. Let g(l) = l**2 + l - 2. Let r(c) = 5*g(c) - t(c). Is r(-12) composite?
False
Let v = -20629 + 7452. Let u = v - -9276. Let c = u + 7084. Is c composite?
True
Let n(t) = 36*t - 47. Suppose 4*a + 63 = -13. Let d be n(a). Let l = d + 1210. Is l a prime number?
True
Let f be 0 - 169/(-5) - (-1)/5. Suppose 2*x + 42 = f. Is -8 + 313 + 4/2 + x a composite number?
True
Let t = 243889 - 142466. Is t composite?
True
Suppose 2011*p + 4885276 = 2055*p. Is p a prime number?
True
Let q(s) = 5*s - 19 + s**2 + 10*s - 48*s + 13*s + 21*s. Let o = -9 - -17. Is q(o) a prime number?
True
Suppose -261*s = -503*s + 259*s - 2468009. Is s a prime number?
True
Let v(x) = -7*x**3 - 133*x**2 + 58*x - 45. Is v(-47) a composite number?
False
Let q = 694 + -692. Suppose 0 = -2*h - q, -h + 684 = j - 2958. Is j a prime number?
True
Suppose -6*i + 11*i - 10 = 0. Let b(l) = -l**3 + 3*l**2 - 2*l - 1. Let r be b(i). Is 18942/35 + r/5 a composite number?
False
Let v = 150248 - 56769. Is v a prime number?
True
Let j = 268417 + 958498. Is j a prime number?
False
Suppose 4*m + 147 = 25*m. Is ((-46193)/(-21))/(m/21) composite?
False
Let q be 2920 + 0/(-5) + 3. Suppose -4571 - q = -6*j. Suppose -j = -3*t + 752. Is t composite?
True
Let n(s) = -3*s**2 + 1. Let a be n(10). Let b(p) = -5*p**2 - 7*p + 8. Let i be b(-3). Is i/4*a/4 a composite number?
True
Is (28/63)/(9383545/1340505 + -7) prime?
False
Let j(q) = -27599*q + 534. Is j(-17) prime?
True
Suppose 4*n + 4629 = 3*u, -3*u - 4634 = 4*n - u. Let i = n - -5905. Is i a composite number?
True
Let r = -35 + 29. Let u(p) = -22*p - 18. Let k be u(r). Let g = k - 79. Is g composite?
True
Suppose 4*c + 72 = 22*c. Let y(s) = 22*s**2 - 10*s + 2. Is y(c) a composite number?
True
Suppose -59940 = -2*t + 5*l + 420274, 3*t - 5*l - 720341 = 0. Is t a prime number?
False
Suppose -44 = -16*i + 14*i. Is (-22)/(-121) - (-64258)/i a prime number?
False
Let l(f) = 2*f**3 - 2*f**2 + 4*f - 12035. Let c(r) = 2*r**3 - 2*r**2 + 5*r - 12033. Let i(n) = 6*c(n) - 7*l(n). Is i(0) a prime number?
False
Suppose 0 = 4*p + 4, 27*k - 29*k + 3*p = -2701. Suppose 0 = -m - k + 6496. Is m a composite number?
False
Suppose 62 + 13 = 3*b. Suppose -19 = 2*t - 5*k, k + k = -5*t + b. Is (t/9)/((-5)/(-23415)) a composite number?
True
Let o(z) = 529*z + 15. Let u be o(-7). Is 21/3 - u - (0 - -4) prime?
True
Let z = -4839 + 1694. Let r = z + 5076. Is r prime?
True
Let a = 3670139 - 2162292. Is a a composite number?
True
Let b(k) = -7*k - 31. Let y be b(-9). Suppose 5*f = f - y. Is 6/f - (0 - 14686/8) prime?
False
Suppose -30*i - 101555 = -35*i. Is i a composite number?
True
Let x(r) = 9 + 18*r**3 - 8*r - 19 + 15. Is x(6) a composite number?
True
Let d(x) = 82*x**2 - 20*x + 395. Is d(-33) a prime number?
True
Suppose 53 = -13*r + 846. Suppose r*b - 60*b = 5*y - 28200, 2*b = y - 5649. Is y a prime number?
True
Let n = -216 - -220. Suppose -50181 = -5*v + 4*o, 2*o - 50187 = -9*v + n*v. Is v a prime number?
True
Let f(s) = 19113*s**2 + 27*s - 155. Is f(5) composite?
True
Suppose 2*d = 1646599 + 51640 + 1743923. Is d prime?
True
Is (23 - 19)*1/(-4)*-196073 prime?
True
Let g(c) = 4*c**2 + 85*c + 32. Let n be g(-21). Suppose -5*z - 5*u = 2150, -3*z + 5*u - 1168 = 90. Is -1 - n/((-77)/z)*-21 a prime number?
True
Suppose -123*y + 298691 + 76257 = -25*y. Is y a composite number?
True
Suppose -8 + 26 = -3*n. Let m be n*166/3*(0 - 1). Suppose 69*k + m = 73*k. Is k a composite number?
False
Suppose 0 = -3*w - 0*n - 2*n - 22766, -4*w + 2*n = 30378. Let k = w + 12283. Is k a composite number?
False
Suppose 5*x - 1380 = -3*o + 6*o, -844 = -3*x + 5*o. Let b = x - 595. Let c = b + 953. Is c a prime number?
True
Let p(l) = 18*l + l**2 - 4*l**2 - 8 - 6*l**2 + 2*l**2 + 17*l**3 - 13*l. Is p(5) prime?
False
Suppose -3*v - 2*h - 22 = 2*h, -4*v - 2*h = 26. Let r be -2 + 4 - (v - -6). Let a(y) = 56*y**3 - 2*y**2 - 1. Is a(r) a prime number?
True
Suppose -3*t + 7*t = -3*d + 312370, d - 2 = 0. Is t a composite number?
True
Suppose 3*y - 5*u - 13479 = 0, 3*u = -10*y + 9*y + 4493. Is y a composite number?
False
Is ((-48)/216 + (-11759)/18)/(1/(-346)) a composite number?
True
Suppose -7*x + 2*x + 20 = 0, -2*x = -q - 10. Let c be q/3*3 + -395 + -3. Let i = c + 1469. Is i composite?
False
Let r be (71378/4)/(11/(-22)). Let x = 61526 + r. Is x prime?
False
Let g = -229059 + 358040. Is g a composite number?
False
Let m be (4/10)/(4*(-10)/(-37800)). Let l = 1007 - m. Is l composite?
True
Let s = 33340 + 7399. Is s composite?
False
Let y(h) = 981*h**3 + 6*h**2 + 5*h - 295. Is y(15) composite?
True
Is -4 + 3/((6/(-20))/(215010/(-50))) composite?
True
Let f(l) = l**3 + 5*l**2 + 5*l + 9. Let q be f(-4). Suppose 7*x + q*x - 60 = 0. Suppose 581 = 2*d + d + x*c, 0 = -d - 5*c + 207. Is d composite?
True
Let k(c) = 54*c**2 + 45*c - 156. Let l(n) = -28*n**2 - 23*n + 77. Let a(p) = 3*k(p) + 5*l(p). Is a(18) prime?
False
Suppose -476 = 6*o - 80. Let v = -65 - o. Is 89/(-1)*v*-1 a composite number?
False
Let x = 139663 + -35047. Suppose -g - 35*g + x = 0. Is g a prime number?
False
Let q(g) = -4*g - 36. Let l be q(-10). Let p = 9 - l. Suppose 2*k + 4*y - 116 - 802 = 0, -y = p*k - 2250. Is k a composite number?
False
Suppose -17*s + 15*s + 6 = 0. Is (-5762)/(-2) + (s - -3) composite?
False
Let w = -232540 - -325679. Is w a prime number?
True
Let y(r) = -r**3 - 18*r**2 + 13*r - 5. Let a be 76/(3/((-9)/(-2))). Let z = 94 - a. Is y(z) a prime number?
False
Let h = 65010 + 10493. Is h a composite number?
False
Let q(z) = 3*z**2 + 33 + 38 - 3*z - 2*z - 76 + 2*z**3. Let j be q(-3). Let l(h) = -29*h + 24. Is l(j) a prime number?
False
Let m = -8000 + 22509. Suppose -m = -5*x + 14236. Is x a prime number?
True
Let r(x) = 6*x - 70. Let v be r(12). Suppose -v*b - 1184 = -4986. Is b a composite number?
False
Let s(i) = 3*i**2 - 3*i - 31. Let k(v) = -12*v + 4. Suppose -4*p + 45 - 49 = 0. Let c be k(p). Is s(c) composite?
True
Let r = 6 + -8. Let u be 2/(-3) - (66/9)/r. Suppose -l = u*l - 20, 0 = 3*k + 4*l - 3317. Is k a prime number?
False
Let w be -3*15/18*(-4)/5. Suppose 2 = -w*g + 6. Suppose -5*f = -g*f - 477. Is f a composite number?
True
Let w(q) = -3*q + 1. Let i be w(1). Suppose 35*a + 149*a + 184 = 0. Is (a - 1 - -4) + (i - -3541) a prime number?
True
Let x be (11 - 2) + ((-32)/2)/4. Suppose 20215 = 3*a - s, -a + x*s + 4303 = -2426. Is a composite?
True
Let l = 43662 - 22238. Suppose -4*t = -4*y - 17136, -3*t + 8*t = 3*y + l. Is t a composite number?
True
Suppose 0 = 2*u - 3*u + 71. Let g = 80 - u. Suppose g*n = 4088 + 3895. Is n a composite number?
False
Let w be ((-9)/6)/(3/(-8)). Let l(b) = 121*b**2 - 11*b + 9. Is l(w) prime?
True
Let o be (103278/35)/(964/(-240) - -4). Is (0 - 5/(-4))/((-18)/o) a composite number?
True
Is 61278 + (15 + -12 - (1 + -3)) a prime number?
True
Let n(g) = 336*g**2 + 3*g + 2. Let q be n(-2). Suppose 4*c = -3*b + 73, b + 3*c - 26 - 5 = 0. Suppose b*x = 15*x + q. Is x prime?
False
Let g = -771234 - -1592553. Is g a composite number?
True
Let c(j) = j**3 + 28*j**2 + 2*j + 62. Let p be c(-28). Suppose -4*w - 2 - p = 0, -4*a = -4*w - 17772. Is a prime?
True
Let o(y) = 35651*y - 99. Let m be o(14). Suppose -30*x = -20435 - m. Is x a prime number?
False
Suppose 0 = 20*p - 25*p - 300. Let f = -61 - p. Is (f/(-4))/(5*(-5)/(-44300)) a composite number?
False
Let q = -236 + 238. Is (5 - 4) + 2306/q a prime number?
False
Let m(j) = 1825*j**2 - 19. Let r be m(7). Suppose r = -a + 19*a. Is a prime?
True
Let h = 25334 + -7321. Is h prime?
True
Suppose y - 1350 = 4539. Suppose 0*i - y = -3*p - i, 5*p - 9815 = i. Let g = -1184 + p. Is g prime?
False
Let u(p) = 31*p**3 + 16*p**2 - 68*p - 43. Is u(10) a prime number?
False
Let l = 11503 - 17149. Let z = 10115 + l. Is z a composite number?
True
Suppose 3*g - 533 = 2290. Let h be 3/(-2)*90/(-27). Suppose h*d - g = 254. Is d composite?
False
Is 19137436/68 + 34/289 + 10 composite?
True
Is (17770/(-3))/(102/(-153)) a composite number?
True
Let a(k) = 61*k**2 - 80*k + 26. Let r be (28/35 - (-1)/5) + 16. Is a(r) a prime number?
False
Let g(l) =