alse
Let j(t) = t**3 - 14*t**2 - 14*t + 19. Is j(15) a composite number?
True
Let z = -334 - -853. Is z composite?
True
Suppose 5*t = -2*u + 11, 3*u = -5*t + 24 - 10. Let s(r) = r**2 - 7. Let d be s(0). Let i = u - d. Is i composite?
True
Suppose 0 = -3*c + 4*c - 4. Suppose c*t + 4*p - 364 = 0, -364 = -4*t - 4*p + p. Is t prime?
False
Suppose -3*d - 5*w + 20 + 0 = 0, -4*d - 4*w + 24 = 0. Suppose 4 = 3*z - 4*a + 30, -5*z = 3*a - d. Is z/4*-2*53 composite?
False
Let c(l) = l**3 + 7*l**2 - 8*l - 2. Let o be c(-8). Let b be -5 + 6 + 2/o. Is (b - 0)/(-1) + 14 composite?
True
Let p be 466 + (-2)/(-4)*-2. Suppose 0 = 5*s + 3*j - p, -2*s + 0*s + 200 = 4*j. Suppose 3*f = s + 147. Is f composite?
False
Suppose 2*h - 5*z - 6033 = 0, 4*h - 12080 = -0*z - 4*z. Is h a prime number?
True
Suppose 0*z + h = 5*z - 30338, 4*h + 30347 = 5*z. Is z prime?
True
Suppose -2*c + 5*a = 15, -40 = -7*c + 4*c - 5*a. Suppose 9*q = c*q + 1284. Is q prime?
False
Let w = 243 + -86. Is w composite?
False
Let z be (-4)/14 + 360/35. Let l(a) = -z*a - a**3 + 1 + a**3 + a**3 + 6*a**2. Is l(-7) a prime number?
False
Let c(d) = 14*d - 5. Suppose 0 = 3*t + 5*k - 43, 2*t - 7 = 5*k - 20. Is c(t) prime?
True
Let m(q) = 41*q + 2. Let v(d) = 83*d + 5. Let w(f) = 7*m(f) - 3*v(f). Is w(1) composite?
False
Suppose -3*o = -2*h - h - 135, -2*o = -3*h - 92. Suppose -2*z + o = 5*i, -37 = -2*z + 2*i - 5*i. Is z composite?
True
Suppose -7*g + 6535 = -4*g - a, 3*g + 2*a = 6541. Is g a composite number?
False
Suppose -5669 = -9*x + 100. Is x composite?
False
Suppose -2*z = -2*i + 2340 + 238, -2*i = 3*z - 2598. Is i composite?
True
Let c = -5 - -8. Suppose 4*f + 3*t = 3, f = -f - 3*t + c. Suppose f = 3*p - 5*p + 92. Is p composite?
True
Let y = 5568 - 2935. Is y a composite number?
False
Let a = 2 - 1. Is (-19)/(a/2*-1) a prime number?
False
Suppose 2*c = 4*c + 6. Is (12 - 1)/((-1)/c) a prime number?
False
Suppose -3*j = -c - 1008, 2*c = 3*j + 6*c - 1023. Is j prime?
True
Is (178/4)/((-3)/(-6)) a prime number?
True
Suppose 0*k + 4*k = 5*h + 3172, 2*k = 4*h + 2534. Let d = h + 1101. Is d prime?
False
Suppose -15 = l + 4*t + 4, 8 = -2*t. Let r(f) = f**2 + f + 2. Let m be r(l). Suppose u - 4*u + 271 = g, -m = 4*g. Is u a composite number?
True
Suppose 52 = 2*d + 2*m, -4*m + 22 = 2*d - 8*m. Let t = d + -8. Is t a composite number?
False
Let m(f) = -7*f**3 - 5*f**2 + 4*f - 4. Let z be m(-5). Let n = 1033 - z. Is n a prime number?
True
Let c(k) = 27*k**2 + 3*k - 5. Is c(-5) a prime number?
False
Suppose 5*s = -0*s + 15. Suppose 0 = -m - 5*c - 7, 2*c = -4*m + s*c - 28. Let l(h) = h**2 - 6*h + 4. Is l(m) a composite number?
True
Suppose g - 2331 = -5*r, 481 = 2*r + 2*g - 445. Is r a prime number?
True
Is (-5 + 18/4)*-1814 a composite number?
False
Let w = 116 - -13. Is w prime?
False
Is (-8)/(-12) + 4506/18 a composite number?
False
Let i be 10/(-35) + (-4)/(-14). Suppose i = 3*t - 5*n + 5, 5 = -0*t + t + 5*n. Suppose 5*m = 20, t*z = -2*z + 3*m + 62. Is z a prime number?
True
Let g(i) = -i**3 + 10*i**2 - 12*i + 6. Is g(8) prime?
False
Suppose 5*i - 510 = -5*c, 96 = i + 2*c + c. Let x = -16 + i. Is x a prime number?
True
Let o = -37 + -115. Let d = o - -217. Is d a composite number?
True
Let m(b) = -41*b + 1. Let i be m(-1). Suppose 107 = s - i. Is s composite?
False
Let v(c) = -3*c + 24. Let h = 3 - 1. Let b(y) = 7*y - 47. Let u(q) = h*b(q) + 5*v(q). Is u(0) composite?
True
Let q be 3/3*(-2)/(-1). Suppose 2*a = -3*a - 2*y + 423, a - q*y - 75 = 0. Suppose a + 21 = 4*b. Is b a composite number?
True
Suppose 0 = 4*m - 0*m. Let i be m/2 - (-4)/1. Suppose -k - 3*l + 12 + 14 = 0, 0 = -5*k - i*l + 119. Is k composite?
False
Suppose -5*x + 4 = -6. Suppose x*j - 4*c = -0*c + 192, 4*c = j - 86. Let k = -57 + j. Is k a composite number?
True
Let w = 8 - 8. Suppose 2*s = -w*s + 106. Is s prime?
True
Is 11501/21*(2 + 1) a prime number?
False
Suppose h = -3*h + 1052. Is h a prime number?
True
Let j = 515 + -741. Let t = j - -322. Let m = t + -17. Is m prime?
True
Let p = 1773 + -1036. Is p a prime number?
False
Suppose -608 = 4*z + n, 3*z + 471 = -0*z + 3*n. Let w = 248 + z. Is w composite?
True
Suppose -4*q + 4*d = 5*d - 2297, d - 5 = 0. Is q composite?
True
Let c(u) = u**2 - 4*u - 1. Let a be c(3). Let v be (-18)/a*6/9. Let y(d) = 3*d**3 - 2*d**2 + d + 1. Is y(v) a composite number?
False
Let x be (17/(-3))/(2/(-6)). Suppose -v = 4*v + 100. Let s = x - v. Is s a prime number?
True
Let j = -227 + 341. Let i be 6/(-9)*j/(-2). Suppose v = -v + i. Is v a composite number?
False
Let v be ((-5)/((-5)/(-8)))/(-1). Suppose -4*w = -v*w. Suppose -4*c = -20, -g + 92 = 5*c - w*c. Is g prime?
True
Let m(f) = -f**3 + 8*f**2 - 7*f - 9. Let g be m(7). Let h(v) = -39*v - 2. Let o be h(g). Suppose 4*k + 129 - o = 0. Is k composite?
True
Suppose -2*r + r = -2. Suppose 61 = 2*u + r*x + x, -2*u = 4*x - 56. Is u a composite number?
True
Suppose k + 20 = -25. Let t = k + 78. Is (-6)/(-3)*t/2 prime?
False
Let d(n) = -n**2 - 20*n - 9. Is d(-10) composite?
True
Suppose 0 = -5*l + 10*l - 465. Is l a prime number?
False
Let q = 6203 + -3424. Is q composite?
True
Let j be 14/(-21)*(3 - 0). Let s(f) = 21*f**2 + 3*f + 1. Is s(j) prime?
True
Let l = -5 + 10. Suppose l*a = -0*a - 15. Is 1/(-3) + (-70)/a a composite number?
False
Let c = 558 - -331. Is c a composite number?
True
Suppose 0 = 2*q + 4*j - 5466, 2*q = -5*j + 6020 - 549. Is q a composite number?
True
Suppose 5*c + 4*v = 0, -5*c + 7*v - 4*v = 0. Is (-1)/(-2)*(362 + c) a composite number?
False
Suppose -661 = -2*x + 2587. Suppose x = 4*d - 604. Is d a composite number?
False
Let d(a) = -3*a**3 - 3*a**2 - 5*a + 2. Let q(m) = -m**3 + m**2 + m + 1. Let x(b) = -d(b) + 4*q(b). Let l be x(8). Let p = l + 5. Is p a prime number?
False
Is 885/6*-2*-1 a composite number?
True
Suppose 3*d + a - 10 = 0, 5*a - 9 = 11. Suppose 6 - d = t. Suppose 0 - 8 = -t*f. Is f a prime number?
True
Let x(h) = -22*h + 3. Is x(-4) a prime number?
False
Let d = -499 + 770. Let u = d + -68. Is u composite?
True
Let g be (7 + -1)*(-125)/10. Is 8/10*g/(-6) a composite number?
True
Suppose 0 = -3*x + 4*x - 353. Is x prime?
True
Suppose 3*m - 4*m = 16. Let h = -307 + 185. Is h/(-8) + 4/m a composite number?
True
Let z be 1/((-2)/2)*-925. Let i = z + -444. Is i a composite number?
True
Suppose 0 = -n + 3*u + 369, -3*n + 3*u = -1112 - 19. Is n a prime number?
False
Suppose 4*g - 155 = 2*k + 883, 5*g = k + 522. Let d = k - -824. Is d prime?
True
Let n(q) = q**3 + 6*q**2 + 2*q + 8. Let a be n(-6). Let g = 1 - a. Suppose 3*l = -g*m + 131, 4*m - 4 = -4*l + 176. Is l composite?
False
Let w = 14 + -8. Is 86/w*(1 - -2) composite?
False
Suppose 5*n = -h - 296, 0*h = -3*n + h - 176. Let x be (2 + (-129)/9)*3. Let r = x - n. Is r composite?
True
Let m(n) = 5 - 6 + 6*n**2 + 0. Let z be m(1). Suppose -2*u - 2*p + 106 = -92, 0 = -4*u + z*p + 378. Is u a prime number?
True
Suppose 4*a - 9 = -6*h + h, 5*a - 3*h + 35 = 0. Let c = 23 - a. Let s = c - 6. Is s a composite number?
True
Let k be ((-4)/(-7))/((-8)/(-28)). Suppose -5*p = k*t - 345, -t = p + t - 69. Is p a composite number?
True
Let o(v) = -73*v + 1. Let f be o(-1). Let r = 7 - 4. Suppose -f = -r*z + z. Is z composite?
False
Let w(m) be the third derivative of 11*m**4/24 + 11*m**3/6 + 2*m**2. Let s(l) = l**2 - 3*l + 6. Let j be s(4). Is w(j) a composite number?
True
Suppose -5*v + 51 = -1204. Is v a prime number?
True
Let r(b) = -5*b**2 - 3*b + 7. Let d(l) = 4*l**2 + 4*l - 7. Let o = -5 - -9. Let y(p) = o*d(p) + 3*r(p). Is y(-10) a prime number?
True
Let u = 2102 - 1084. Is u a prime number?
False
Let z = 62 + 338. Let l = z + 277. Is l composite?
False
Let l(p) = 4*p**2 + 2*p + 5. Let m(w) = -5*w**2 - w - 6. Let r(s) = -6*l(s) - 5*m(s). Let v be r(7). Is ((v - -2) + -1)*26 composite?
True
Suppose -7*m - 2*z - 853 = -4*m, 3*z = 3. Suppose 4*h = h - 6. Is (-2)/((-3)/m*h) a composite number?
True
Let o(s) = s**3 - 2*s. Let g(a) = 2 - 5*a - a**2 + 0 - 7 + 2. Let q be g(-3). Is o(q) a composite number?
True
Let r(d) = d + 1. Let y be (-5)/(-2)*4/(-2). Let o be r(y). Is 8 + o + 2 + 1 a prime number?
True
Let v(o) be the first derivative of o**2/2 + 13*o + 3. Suppose 0 = -2*q + q. Is v(q) a composite number?
False
Let f(u) = 370*u**3 + u**2. Is f(1) prime?
False
Let k = -3 + 256. Is k a p