Suppose 61*n - 48*n - 202982 = 0. Suppose 44*s - n = 31774. Is s a prime number?
False
Let y = -732 + 2180. Let o(r) = -119*r - 9. Let t be o(-8). Let g = y - t. Is g a prime number?
False
Let z(q) = 327*q + 29. Let b be z(9). Let v = b + -1069. Is v a composite number?
True
Let h be 1/(-3)*(-7 + -12020). Suppose -29*n + 28*n = -h. Suppose -3*v + n = -128. Is v a composite number?
True
Let g be 0 + (-6)/10 + (-46571)/(-35). Suppose -5*q + 3*c + c + g = 0, -q - 4*c + 290 = 0. Let f = q - -421. Is f a composite number?
False
Suppose -3 = -3*s - 11*d + 12*d, 5*s + 12 = -4*d. Is (-1)/3*(s/2 - 5079) a prime number?
True
Is (-103 - -1)*(-783279)/378 prime?
False
Let i be 496/(-6)*(36228/(-24) - -5). Suppose -17102 = 10*p - i. Is p prime?
False
Let u be 6*(-30)/(-36) + -6. Is (20317 - u) + 2 + 1 prime?
False
Suppose 820*j - 384722 = 807*j. Is j a composite number?
True
Let o be -1 - (6 - 7)*1. Let f(y) = 14*y + 9551. Is f(o) composite?
False
Suppose 0*y + 4*f = -y + 6591, -f + 26319 = 4*y. Let d = y + -4076. Is d composite?
False
Let t = -285 + 300. Suppose -420173 = 2*q - t*q. Is q composite?
False
Let m = -219 + 2493. Let o = m + -1339. Suppose -7*r = -12*r + o. Is r composite?
True
Let z = -63 + 68. Let l be ((-4)/(-6))/(-6*z/(-51165)). Let j = l + 406. Is j a composite number?
False
Suppose -t + 63696 = f, -3*t + 73134 = f - 117956. Is t a composite number?
False
Suppose 20 = 4*f + 872. Let y = -11 + f. Let j = y + 447. Is j a prime number?
True
Let h = 8921 + -1319. Suppose -4*t - h = -4*u - 2*t, -u - 2*t = -1903. Is u a prime number?
True
Let d(z) = 11*z**2 - 399*z + 1811. Is d(-158) composite?
True
Suppose -2*c - 4*a = -c - 22, 0 = -c + a - 3. Let l be 18/c + (0 - 4). Suppose 0 = -l*f - 3*f + 1688. Is f prime?
True
Suppose -3*s - 5289 = -6*s. Let a be (-3)/6*s + 2/(-4). Let j = -5 - a. Is j a composite number?
False
Let n = -112 + 112. Suppose 4*d - 2*j = 1094, -3*d + n*d - 3*j + 816 = 0. Is 23/(6/21 - d/1127) composite?
True
Let u(t) = -t**2 - 2*t - t + 0*t**2 + 6. Let z be u(-4). Suppose z*g + 0*g - 1793 = -3*s, -g + 5*s = -916. Is g a prime number?
False
Suppose 5*h = -139 + 164. Let l(n) = 35*n**2 - 6*n - 4. Is l(h) composite?
True
Suppose -12*r = 514 - 4726. Suppose -4*b - 464 = -2*b. Let k = r + b. Is k prime?
False
Let j(a) = -1981*a - 44. Suppose -7*h - 19 = -2*y - 2*h, 3*y - 2*h - 1 = 0. Is j(y) composite?
True
Let m(f) = f**3 + f**2 - f - 6. Let g be m(0). Let q = -4295 + 4277. Is (g/q)/(2/1122) a composite number?
True
Let o = 102 + -62. Suppose o*y = 37*y + 42369. Is y prime?
False
Let h(r) = 527*r**2 - 55*r - 71. Let u(v) = -176*v**2 + 19*v + 24. Let w(j) = 4*h(j) + 11*u(j). Is w(-3) prime?
False
Suppose 9*h - 3*h - 92970 = 0. Suppose -5*s + h - 980 = 0. Is s a composite number?
False
Suppose n - 20 = -3*j, -5*n + 10 + 64 = 2*j. Suppose 0 = -n*r + 37191 + 25991. Is r prime?
True
Let p be (-12)/9*21/(-7). Let m(k) = -k**3 + 2*k**2 + 11*k - 4. Let l be m(p). Is (-10)/l - (-30015)/60 composite?
False
Let a = 2996 + -1530. Let y = a - -33. Is y prime?
True
Suppose 0 = -u - o + 196255 - 72091, 0 = -u - 3*o + 124166. Is u prime?
False
Let g(j) = 1029*j + 60. Let s be -2*(1 + 15/(-6)) - -3. Let b be g(s). Is (b/30)/((-1)/(-5)) prime?
True
Let b be 95/35 - 4 - (-4)/14. Is 6212/(-8)*(-1 + 3)*b prime?
True
Let u = 6983 - 3473. Suppose 9*d - u = -1224. Is d composite?
True
Let z(w) = 9*w**2 - 297*w - 51. Is z(78) a composite number?
True
Suppose 2*w + 46810 = 4*g, -5*g = 2*w - 2785 - 55750. Is g composite?
True
Let u(g) be the third derivative of -21*g**2 + 0 + 0*g - 2*g**3 + 61/24*g**4. Is u(13) a composite number?
True
Suppose 2*y = 5*y + 3*x - 69, 0 = 2*x. Suppose 15*t + 24 = y*t. Suppose -23 = -4*l - 5*a + 255, 2*l - t*a = 128. Is l a prime number?
True
Suppose 66316667 = 156*x - 26019265. Is x a prime number?
False
Let p = 17113 - 11674. Suppose m + p = 5*k, 2*k = -3*m + 272 + 1890. Is k prime?
True
Suppose -5*t + 31 = -0*t + 2*n, -5*t - 4*n = -37. Suppose 5*k - t*f + 25 = 0, 5*k - f + 11 = -10. Is 3*k/(-36)*3435 composite?
True
Suppose -4*i + 90 = 2*x, -2*i - 3*x + 87 = 2*i. Suppose b = -3*b - i. Is (-4198)/(1*(b + 4)) a composite number?
False
Let n(y) = 6*y**2 + 78*y + 11. Let i be n(-13). Is i + -3 - (-23218)/2 composite?
False
Let z(w) = -6737*w - 1962. Is z(-13) a composite number?
False
Let s(d) = 1344*d - 5. Let m(y) = 336*y - 1. Let o(x) = 9*m(x) - 2*s(x). Is o(30) a prime number?
False
Suppose 1818 = 7*j + 2*j. Suppose -w = -5*x + 8, 0*w = 2*w + 2*x - 8. Suppose j = w*m + 4*i, -4*i + 7 = m - 98. Is m prime?
True
Let h(g) = -14*g**3 - 5*g**2 - 4*g + 6. Suppose 0 = -c + 4*k + 25, -3*k + 3 = -5*c + 43. Suppose b - c = 2*b. Is h(b) prime?
False
Let b = -516 + 1354. Is (-38 - -33) + 2*b prime?
False
Let c = -76 + 69. Is 134*(90/4 - c) a prime number?
False
Suppose 5*p - 135 = 80. Let l = 43 - p. Let x(u) = 2*u + 562. Is x(l) prime?
False
Let d(f) = -f**2 + 2. Let b be d(0). Let l(v) = 44*v - 349. Let g be l(8). Suppose b*s + k + 411 = 2754, g*s + 5*k = 3532. Is s a composite number?
True
Suppose -72 = -4*a - 16. Suppose a*h - 1129 = -l + 17*h, -5 = h. Is l a prime number?
False
Suppose -3*u - 44*u + 36*u = -3532573. Is u prime?
True
Suppose 20 = 2*c + 16. Let q(r) = 47*r**3 - 7*r**2 + 7*r + 2. Let z(u) = 46*u**3 - 8*u**2 + 8*u + 3. Let k(b) = 6*q(b) - 5*z(b). Is k(c) a prime number?
True
Let q = -715426 + 1398477. Is q a prime number?
False
Let i(r) = -135*r + 80 + 38*r + 14*r. Is i(-19) a prime number?
True
Suppose 2*t + 94 = 4*i, 2*t + 3*t = 3*i - 60. Suppose -4*b = i*b - 46139. Is b composite?
True
Suppose 0 = 2*h - 5*h - 18756. Let c = 11089 + h. Is c a composite number?
True
Suppose -5*v - 19195 - 995 = 0. Let j be ((-10)/(-15))/(4/v). Let u = 966 + j. Is u a prime number?
True
Suppose 5*l - 6448 - 5967 = 0. Let g = l + 1502. Suppose -5*c = -j + 797, -3*j = 2*j - c - g. Is j a prime number?
True
Let y be (5 - 3) + 10/6*3. Suppose y*u + 0 = 14. Suppose -2*j = 2*d - 166, -2*d = -u*j + 153 + 29. Is j a composite number?
True
Let o = -51 - -55. Suppose o*n - 15 = 17. Suppose 2814 = -2*j + n*j. Is j prime?
False
Let z be (2/(-4) + 1/2)/(-1). Suppose z = -2*l + 16. Suppose -9*i + 787 = -l*i. Is i a prime number?
True
Is -212*(93/(-20) - (-2)/(-20)) prime?
False
Is 260/(-416) - 17072378/(-16) composite?
False
Let m(g) = -g**2 - 38*g - 19. Let i be m(-18). Let w = -106 + i. Is w composite?
True
Let y = -1890 + 3651. Let q be (2348/6)/((220/(-30))/22). Let r = q + y. Is r composite?
False
Suppose 23*v + 81 = 32*v. Is 67632/v - 75/45 composite?
True
Let d be (-1 - (0 - 1))/(-25*60/1500). Let a(k) be the third derivative of -k**4/24 + 307*k**3/2 - k**2. Is a(d) a prime number?
False
Suppose 4482 = 4*l - 6150. Let x = l - 739. Is x a composite number?
True
Suppose 4*u + 7 = 3*w - 9, -3*u = -w - 3. Let r be (-4)/w - (14/(-6) - -2). Suppose r = 3*j - 8*j + z + 3415, 5*j - 3415 = -2*z. Is j a composite number?
False
Let s(f) = -6*f - 3. Let d be 1*(-1 + (3 - 3)). Let q be s(d). Suppose -8*n + q*n = -5215. Is n composite?
True
Let t(r) = 28 + 2*r - 225*r**2 + 226*r**2 - 4*r. Is t(15) a prime number?
True
Suppose -f = -t - 62110, -f - t + 61872 + 228 = 0. Is f prime?
False
Let s be (-8 - -9)*(-1 + 1)/1. Suppose 2*y + 18 + 0 = s. Is (-3200)/(-3) + y/(-27) prime?
False
Let q(z) = -z**3 + z - 204. Let m be q(0). Let s be -67 - (13 - (-7 - -14)). Let c = s - m. Is c composite?
False
Suppose 0*m - 3*m + 14 = 5*d, 5*m = -10. Suppose 4*v = -5*k + 14811, 0 = 4*k - d*v - 5219 - 6637. Is k prime?
True
Let o(j) = -157*j**3 - j**2 - 35. Is o(-8) prime?
False
Let u(l) = -6*l - 35*l**2 + 3*l + l + 5 + 318*l**3 + 16*l**2 + 13*l**2. Is u(2) composite?
False
Let k(g) = 1663*g + 3554. Is k(107) a prime number?
False
Let r(q) = -q**3 + 6*q**2 + 4*q - 1. Let f be r(7). Let z = -27 - f. Let w(m) = -4*m**3 + m**2 + 8*m + 6. Is w(z) a composite number?
False
Suppose 0 = -85*b + 88*b - 3216. Suppose j - b = -2*p - p, -j + 2*p = -1097. Is j a composite number?
False
Suppose -4*i - 8 = 0, -265*x + 268*x - 662578 = -4*i. Is x a prime number?
False
Let a(z) be the second derivative of 671*z**3/6 + z**2 - 9*z + 1. Is a(7) prime?
False
Let c be -7*18/(-21) - (-65907)/3. Let p = 34217 - c. Is p a composite number?
True
Suppose -4*l = v - 1297, -4*v = -2*l + 54 - 5188. 