prime?
True
Let j(v) = 27*v**2 - 62*v + 393. Is j(32) composite?
True
Let o(j) = -131*j**3 + 6*j**2 + 17*j + 27. Let y be o(-4). Let w = y + -2000. Is w prime?
False
Let j = -16044 - -25177. Is j composite?
False
Is (7 - 15)/((-8)/(-12)*3) + 125621 a prime number?
True
Let u = 46 - 42. Let h be (u/3 - (1 + 1))*474. Is h/(-3)*9*4/24 a prime number?
False
Let m be ((-23849)/7)/((-1)/8). Suppose -7*z = z - m. Is z a composite number?
False
Suppose 0 = -16*m + 18*m. Let w be (m - 0)/(2 + 3/(-1)). Suppose -4*g + 352 = 4*o, 3*o = g - w*o - 92. Is g composite?
False
Let a(j) = j**3 + 8*j**2 - 6*j + 6. Let h be a(-9). Is 0 + 6/h - (-4012)/28 a prime number?
False
Suppose 0*x - 4*x = -0*x. Let h be (5 + -4)*1*(x - -4). Let l(w) = 4*w**3 + 5*w**2 - w - 5. Is l(h) a prime number?
False
Suppose -l + 1627 = -1526. Suppose l = 5*a + 218. Is a a composite number?
False
Let x(n) = 10942*n + 4893. Is x(8) prime?
False
Is (-3975)/(-1275) - 4/34 - -21659 a prime number?
False
Let u = 82471 - -159300. Is u prime?
True
Suppose -4*z - 4*n + 1108 = 0, -38*n + 43*n = 10. Suppose -z - 67 = -f - 4*s, -f = -s - 362. Is f a prime number?
False
Let p = -92477 - -133354. Is p a composite number?
True
Suppose 0 = -q - q + d - 2, -4 = -5*q - 2*d. Suppose q = l + 2*l - 7071. Is l a prime number?
True
Suppose 4*y + 188200 = 4*d, 0 = 3*d - 19*y + 14*y - 141142. Is d/9 + 6 + (-2)/9 prime?
False
Suppose -5*u = -0*m - 2*m - 2, 0 = u - 2. Suppose -2*x - 3 = -2*v + 9, -3*v + 11 = m*x. Suppose 4*b - 2*t + 636 = 3898, 4*b = -v*t + 3283. Is b prime?
False
Suppose 33*c = 14047688 - 1667771. Is c prime?
True
Let b be 6/14 + (-1010447)/(-203). Suppose 2*p - 5*k - 9923 = 0, -k - 2*k = p - b. Is p a prime number?
True
Let a = 191 - -16594. Let s = a + -7498. Is s composite?
True
Let y(z) = 32935*z**3 - 25*z**2 + 55*z + 7. Is y(2) a prime number?
False
Suppose -19*o = 6313 + 945. Is ((-14)/35 + 1/(-10))*o prime?
True
Let q be (-2)/(-4)*476/2. Let g be 36/5*(-840)/(-504). Let s = q + g. Is s a prime number?
True
Suppose 5*i = 922317 + 496028. Is i composite?
False
Let j = 58172 + -34561. Is j a composite number?
True
Let f be (5 - (8 + -5))/(2 - 1). Let n(u) = 2*u**3 - u**2 - 5*u + 3. Let c be n(f). Suppose -k = c*a - 336, 2*k + 4*a + 331 = 991. Is k a composite number?
True
Suppose p + 5*x = -143, -137 = p - 2*x + x. Let t be (2/(-4))/((-4)/1544). Let u = p + t. Is u a prime number?
False
Is (-1462727)/(-7)*(13 + -12) a composite number?
False
Suppose 3872 = -21*d + 32*d. Suppose 2*s + d = -b + 3*b, -4 = -2*s. Is b composite?
True
Suppose 5*p - k - 171261 = 0, -106*p - 34257 = -107*p - k. Is p a prime number?
True
Let b(j) = 9*j**3 - 2*j**2. Let p be b(1). Let n(l) = 280*l + 19. Is n(p) composite?
False
Let a = 186 + 18. Suppose 3*h = 201 - a. Is ((-1749 - 4)/(-1))/(h + 2) a prime number?
True
Let y be 91*(10/6 - 22/(-3)). Let b = y - 320. Is b composite?
False
Suppose w - 86 - 49 = -4*h, 5*h + 2*w - 168 = 0. Suppose -h*a + 55992 = -10*a. Is a a composite number?
False
Let w(r) = -2*r**3 - 92*r**2 + 274*r - 182. Is w(-62) a composite number?
True
Let t(p) = p**2 + 30*p + 148. Let q be t(-6). Suppose -3*o - 849 = -q*n + 7966, 0 = -4*o - 4. Is n composite?
False
Let w = 3779 + -2333. Let v = w + 211. Is v a composite number?
False
Let u = 8021 + 29321. Is u a composite number?
True
Let f be (-6 + 5)*(-15499 + (-12)/4). Let k = f + -8381. Is k prime?
True
Suppose -11*p = -77147 - 98402. Is p a composite number?
False
Let f(d) = d**3 - 12*d**2 + 14*d - 30. Let h be f(11). Is 13044/(-2)*-3*h/27 prime?
False
Let o(n) = -n**3 + 17*n**2 - 59*n - 22. Let l be o(19). Let y = l + 3124. Is y composite?
False
Is (-9803)/(12/9 - (-217)/(-147)) prime?
False
Let r(p) = -62664*p - 113. Is r(-1) a prime number?
False
Let p(h) = -13*h**2 - 19*h + 4. Let n(i) = -3*i**2 - 5*i + 1. Let m(w) = -9*n(w) + 2*p(w). Let r be m(-8). Suppose r*y - 12*y = -815. Is y a composite number?
False
Suppose -5*k - 146170 = -3*i - 0*k, -i + 48730 = -3*k. Suppose -i = -7*q + 4982. Is q prime?
False
Let o be 60/20 - (0 + 1)*-4. Suppose -12*z = -o*z - 7025. Suppose 5379 - z = 2*m. Is m prime?
True
Let k(x) = -x**3 - 7*x**2 + 2*x + 72. Let r be k(-23). Suppose r - 23643 = -3*g. Is g a composite number?
False
Let w be -6*(6 + -5) - -10. Suppose -4*s = 4*y - 7368, 2*s - s - w*y = 1837. Is s a prime number?
False
Let v(k) = 135*k**2 + 6*k + 521. Is v(-24) composite?
False
Let p = 691 - 1914. Is (-25)/50 - p/2 a prime number?
False
Let n = 18202 + -14903. Is n prime?
True
Suppose z + 4123 = -3*s, s - 5*s + 20653 = -5*z. Let f = z - -5838. Is f composite?
False
Let f(a) = 1 + 27*a + 4 - 3. Suppose 4*s - 7 = 16*v - 17*v, 4*s - 28 = -4*v. Is f(v) a prime number?
True
Let r = 1392006 + -812185. Is r a composite number?
True
Let j = -337409 - -627420. Is j a composite number?
False
Suppose 56*i - 5*c = 51*i + 1506770, 0 = 2*i + 4*c - 602678. Is i a prime number?
True
Let t be ((-12)/(-9))/2*3. Let s be t - (4 - (2 + 2)). Suppose 0 = -s*i - 5*v + 1321, 4*i - v - 678 = 3*i. Is i prime?
True
Let k(c) = -3*c**3 + 12*c - 49. Let w(p) = 4*p**3 - 18*p + 73. Let n(o) = -8*k(o) - 5*w(o). Is n(7) composite?
True
Suppose 4200 = -8*n + 20240. Suppose -6*v - 31 = -n. Is v prime?
False
Suppose 68*b = 59*b + 391113. Is b composite?
False
Suppose -4*f - 191086 = -7*f - a, f - 63717 = 4*a. Is f prime?
True
Suppose 0 = -9*r - 0*r + 18. Suppose 0 = r*y + 1642 + 344. Let g = y + 1730. Is g prime?
False
Let k be -3 + (-6*(-2)/(-3) - -202). Suppose -3*h + 126 = -2*s - 239, 3*s = 2*h - 245. Let q = k - h. Is q a composite number?
True
Let c(y) = -14*y + 26*y + y**3 - 8*y + 13 - 7*y**2. Suppose 9*o - 7*o - 20 = 0. Is c(o) composite?
False
Suppose -455305 + 180956 = -o - 4*m, -2*o + m + 548698 = 0. Is o a composite number?
False
Let d(w) be the second derivative of -1465*w**3/3 + 45*w**2/2 - 176*w. Is d(-7) a composite number?
True
Let w(o) = -912*o**3 - 3*o**2 + 19*o + 37. Is w(-2) a composite number?
False
Let x be (-16)/72 - (-420)/(-54). Is (-1867350)/(-200) - 2/x composite?
False
Let x(i) = i**3 - 18*i**2 + 19*i - 34. Let q be x(17). Suppose q*l - 5*l + 4838 = 3*p, 3*l + 3*p = 2904. Is l prime?
True
Suppose 12547 + 11015 = 2*q. Suppose -4*a - q = -41665. Is a a prime number?
False
Is (-14)/((-42)/(-591))*(-913 + 2) a prime number?
False
Suppose 5*m - 2*b - 139 = 0, -4*m + 4*b + 119 = 5*b. Suppose -5*c = -4*p - m, p + 6 = c - 0. Suppose -c*i = 3*i - 72. Is i composite?
True
Suppose 0 = 18*k + 2*k - 3712378 + 284958. Is k a prime number?
False
Suppose -55*d - 536832 = -71*d. Suppose 3*q + d + 5617 = 4*z, 4*z = -q + 39173. Is z a prime number?
False
Suppose 9*y = 59*y - 16293850. Is y a composite number?
False
Let b(y) be the second derivative of -y**4/6 - 25*y**3/6 - 8*y. Let w be b(-11). Suppose 24*m - w*m + 1449 = 0. Is m a composite number?
True
Suppose 16*a = 19 + 61. Suppose -a*f - t = -8119, 2*f + 0*t + t - 3250 = 0. Is f prime?
False
Suppose 3*z + 5*q = 23, -3*q + 17 = -3*z + 2*q. Suppose -3*w - t + 5*t + z = 0, -3*w + 5 = -5*t. Let j(l) = -39*l + 16. Is j(w) composite?
False
Suppose 97*u = 89*u - 32. Let n(y) be the second derivative of -y**5/10 - y**4/12 - 2*y**3/3 - y**2/2 + y. Is n(u) composite?
False
Suppose -2*i + 3*p - p = 13304, p = 3*i + 19966. Let l = i + 11378. Is l a composite number?
False
Let x(d) = -d**2 + 6*d - 2. Let i be x(4). Suppose 2*h - i*h - 2552 = 0. Let v = h + 1679. Is v prime?
False
Let v(q) = 10*q**2 + 13*q + 5. Let x(p) = -3*p + 38. Let o be x(12). Let i be (-8)/((6 - o)/4). Is v(i) composite?
False
Suppose 0 = -13*t + 10495930 - 2238161. Is t prime?
False
Let i(v) = 11*v**2 + 11*v + 99. Let x be i(-14). Suppose 3*b = 222 - 2130. Let l = b + x. Is l a composite number?
True
Suppose m - 8 = -2*a + 1, -2*a - 3 = -3*m. Let w be -1 + m/9*9. Is ((-3014)/w)/(-5 + (4 - 0)) a prime number?
False
Suppose 2*l = -6*l + 80. Suppose -528 = 4*t - l*t. Is ((-155)/2 - -3)/((-4)/t) a composite number?
True
Let q be (-824916)/(-20) + 2/10. Suppose 10761 = k + 4*c, -4*k + 2*c + 1762 = -q. Is k prime?
True
Let l = -460 - -568. Is (-72241)/(-9) - (-24)/l prime?
False
Suppose -4063512 = -55*x + 894683. Is x a composite number?
False
Suppose 2*c = 5*z - 76, 3*c + 5*z + 76 = c. Let l(v) = 6*v**2 + 55*v + 21. Is l(c) prime?
False
Let t = 7610 - -234