e
Let c be ((-172)/(-12))/((-1)/(-3)) + -2. Suppose -44*m + c*m = -3801. Is m a prime number?
False
Let k be 8/(-36) - 40/(-18). Let o(z) = 3*z**2 - 1 + 2*z - k*z**3 - 6 + 4 + 2. Is o(-2) prime?
True
Suppose 0*j + 20 = 5*k - 3*j, 0 = 5*k + 5*j + 20. Is ((-1)/((-4)/4))/(k/2245) a composite number?
True
Suppose 4*h - o = -2*o + 88431, 0 = -3*o - 15. Is h a composite number?
False
Let v(a) = 76*a**3 - 2*a**2 + 8*a + 3. Is v(7) a prime number?
True
Let w(t) = t**3 - 3*t**2 - 6*t + 8. Let l be w(4). Suppose -8*k + 6*k + 534 = l. Is k a composite number?
True
Suppose -2*h + 24214 = -4*c, -2*c - 2*c - 48408 = -4*h. Is h a prime number?
True
Let h(k) = k**3 - 17*k**2 + 87*k - 19. Is h(20) composite?
True
Suppose -2*p - 4*j = -7860, -3*j + 2111 = -5*p + 21748. Suppose 930 = -2*t + p. Is t a composite number?
False
Suppose 8 = -24*o + 28*o. Suppose a = -5*z - o*a - 45, -3*a = 0. Let x(p) = -4*p - 17. Is x(z) a prime number?
True
Let n(a) be the first derivative of -a**3/3 + 479*a + 10. Is n(0) prime?
True
Let k(y) = -11*y**3 - 10*y**2 + 5*y + 15. Is k(-5) prime?
False
Let a(x) = 764*x**2 + 7*x - 25. Is a(4) composite?
False
Is (-120)/150 + 483858/10 a composite number?
True
Let j = 26 + 14. Let s = 112 + -93. Let t = s + j. Is t a prime number?
True
Let o(m) = 3*m**2 + 6*m. Let g be o(-6). Let l = g + -19. Is l a prime number?
True
Suppose 0 = 2*v + 2*v + 136. Suppose j - 98 = 3*j + q, 2*q = -2*j - 100. Let z = v - j. Is z prime?
False
Is (-375686)/(-12) + (119/42)/(-17) composite?
False
Let f(q) = -q**3 + q**2 + q + 1. Let w be f(2). Is 1*(-2)/w + 531 composite?
True
Let f = 1164 + -505. Suppose -f = -s + 812. Is s a composite number?
False
Suppose 4*q = -3*r - 31, -2*r - 17 = -2*q + 3*r. Let j = -4 + q. Let u(l) = l**3 + 7*l**2 - 7*l + 11. Is u(j) a composite number?
False
Is 2 - (-4 + 4 + 2 + -382) prime?
False
Let z(i) = 2 + i**2 + 0*i**2 - 6*i - 5. Let o be z(7). Suppose 3*w - 30 = -3*q + 3, 53 = o*w + q. Is w prime?
False
Suppose 0 = -92*g + 99*g - 70553. Is g a prime number?
True
Let t(d) = 5*d + 69. Let s be t(-14). Let q(h) = -133*h**3 - h**2 + h - 1. Let f(p) = p**3 + p**2 - p. Let w(x) = f(x) + q(x). Is w(s) a prime number?
True
Let y = -11 + 11. Suppose -j + g + 10 = j, 2 = j + g. Suppose y = -4*c + j, 6*c + 288 = x + c. Is x a prime number?
True
Suppose -3*h - 12 = 0, 2*j - 2*h = 3*h - 710. Let n = j + 556. Is n a prime number?
True
Let g = 30 + -23. Suppose 0 = g*x - 10*x + 111. Suppose 94 = -36*o + x*o. Is o a composite number?
True
Suppose 4*x - 3296 = 4*c, 2*x + 2*c - 4155 = -3*x. Is x a prime number?
True
Suppose -5*d + 2*v + 91703 = 0, -4*d + v - 6*v + 73336 = 0. Is d a prime number?
False
Suppose -6*c = c - 6*c. Suppose -3*r + 4*l + 69 = c, -4*r + 0*l + 82 = -2*l. Is r composite?
False
Let n(o) = -o**3 - 6*o**2 - 6*o - 7. Let j be n(-6). Suppose 36*x - 13573 = j*x. Is x a composite number?
True
Let b(z) = 1084*z - 317. Is b(22) a composite number?
False
Let k(v) = -34*v - 6. Let r be k(-6). Suppose 3*m - 813 - r = 0. Is m a composite number?
False
Let u = -12345 + 18326. Is u prime?
True
Suppose -309 - 231 = -3*t. Suppose 5*q = -5*l + 485 + t, -q = 3*l - 133. Is q a composite number?
True
Suppose 0 = 5*v - 3*h - 19, 0*v + 4*v - 10 = 5*h. Suppose 4*a = 2*m + 16, -v*m + a - 8 = -a. Suppose -5*l + c + 174 = m, -4 = -2*l - 5*c + 44. Is l prime?
False
Let j(t) = -t**3 - 5*t**2 - 5*t. Let u be j(-4). Is (1464/2 - -3) + u a prime number?
True
Is 3/(10/(124940/2)) composite?
True
Let x be ((-41)/2)/((-5)/20). Let n = 1199 - x. Is n prime?
True
Suppose 2*d + l = 9, -3*d - l + 21 = 2*l. Suppose 10 = d*z - 0*z. Suppose c + 3*t - 7*t = 37, 0 = z*c + 5*t - 260. Is c composite?
True
Let n(t) = -7*t - 11. Let d be n(-2). Suppose -6*w = -d*w - 1191. Is w composite?
False
Let b = 12434 + 63177. Is b composite?
False
Suppose -13*m = -74539 - 208458. Is m prime?
False
Let j(l) = 1553*l + 413. Is j(16) prime?
True
Suppose -2*p - 5*c + 182 = 0, 2*p - 182 = -9*c + 6*c. Let z = p - 54. Is z a prime number?
True
Let m = 27 - 25. Is (0 + m)*385/14 a composite number?
True
Let w(q) be the first derivative of q**3 - 4*q**2 - 15*q - 21. Suppose -t = 3*n, -3 = -3*t - 3*n + 21. Is w(t) prime?
False
Let t(x) = 2691*x + 17. Is t(2) a prime number?
True
Let n(k) = -k**3 + 3*k**2 - 2*k. Let j be n(2). Let x(o) = -o**3 - o**2 + 5. Let q be x(j). Suppose -4*b + 99 = -q*s + 3, -b - 3*s = -7. Is b a prime number?
True
Let j = -44 - -52. Is (1*4/j*-634)/(-1) composite?
False
Let m be (-2)/((-5)/(60/8)). Suppose m*t = -2*h + 3749, -2*h - 3*h = -5*t + 6240. Is t a prime number?
True
Suppose -5*i + 3 = -2*i. Let g(v) = -1. Let o(u) = 2*u - 6. Let n(p) = i*o(p) - 5*g(p). Is n(6) a prime number?
True
Let y(n) = -5*n - 2. Let v(g) = -6*g - 2. Let f(b) = -6*v(b) + 7*y(b). Let i be f(4). Suppose i*j - 205 = h - 962, -3*j = -3*h + 2262. Is h prime?
True
Let t be 123/11 - (-2)/(-11). Suppose -7*s = -t*s + 8. Suppose 0 = 2*y - 4*w - 582, 2 + s = w. Is y a composite number?
True
Suppose -3*a - 4 = -25. Let o(h) = 0*h**2 + h**2 - 2*h**2 - a*h - 2. Is o(-4) a prime number?
False
Let f(j) = 13*j**2 + 3*j - 2. Suppose 5*m - 2 - 16 = -h, -2*h = 4*m - 18. Let l(q) = -q. Let z be l(h). Is f(z) a composite number?
True
Let d = -33 - -744. Suppose -3*g + 1388 = 4*z, 3*g = z + 652 + d. Let s = g - 245. Is s a prime number?
True
Suppose -124 = m - 3*m. Suppose -5*s = -233 - m. Is s composite?
False
Let n(i) = 5*i**2 + 5*i - 3. Suppose 0 = 4*d + 3 + 17. Is n(d) prime?
True
Let v be (1 + -3)/(20/(-108610)). Suppose 0 = -9*x + 7544 + v. Is x prime?
False
Suppose 17*l + 103288 = 21*l - 3*m, 0 = -5*l + 2*m + 129103. Is l a composite number?
False
Is (-1 + -19)*(-3 + 2922/(-24)) a composite number?
True
Suppose -5*h - 3*s = -8, -3*h - s = -0*s - 8. Suppose -3 = -d + 5*j - 22, 5*d = -h*j - 8. Is 787/5 - d/(-10) a composite number?
False
Let t = 17124 + 1997. Is t prime?
True
Let u(x) = 9*x - 2. Let y be u(1). Suppose -h - 1088 = -g, -g + y*h + 1092 = 2*h. Is g a composite number?
False
Suppose -4*u + f = -9, 2*f + 4 + 8 = 5*u. Let y(b) = 3*b**2 - b - 7. Let n be y(-6). Suppose u*z - 279 = -5*l, l = z - 3*l - n. Is z composite?
False
Let l(y) = -2171*y + 297. Is l(-16) a composite number?
True
Let b(o) = 22*o**2 + 7*o + 19. Is b(6) prime?
True
Suppose 0 = 6*a - 3*a - 5*h - 34, -h + 10 = 5*a. Suppose -5*w - a*g - 257 = -g, w + 3*g + 54 = 0. Let n = w + 128. Is n prime?
False
Let q = 540 - 264. Suppose 3*f - q = -f. Let h = -14 + f. Is h composite?
True
Let l = 4 + 4. Let o = l + -3. Suppose -o*g = -55 - 690. Is g a composite number?
False
Let j(q) be the first derivative of 19*q**5/120 - q**4/3 - q**3 - 3. Let m(w) be the third derivative of j(w). Is m(9) a prime number?
True
Suppose 3*z - 8773 = j + 3*j, -2*z = 2*j - 5844. Is z composite?
True
Suppose 6 + 14 = 5*a. Suppose a*j = -0*j + 1140. Let m = j - 164. Is m composite?
True
Let i be 2 - (-5)/(-4 + 9). Suppose -c + 3*c - 308 = -3*d, -4*c + i*d = -634. Is c a prime number?
True
Let f = -69 - -71. Suppose -f*k + 94 = -60. Is k prime?
False
Let t(f) = 792*f + 65. Is t(6) prime?
True
Let a(p) = -p**3 - 30*p**2 + 31*p + 2. Let m be a(-31). Is (-1*m + -1)*(-55841)/57 a composite number?
False
Let t = -3 - -5. Suppose -t*r = 3*z - 9, 0 = -4*r - 7*z + 4*z + 9. Is 1465/1 - (0 + r) a prime number?
False
Let x = -4117 + 6194. Is (1 + x)*(-6)/(-12) a prime number?
True
Suppose 2*t + 2*t = -4, 17145 = l + 2*t. Is l composite?
True
Suppose 1692 - 8256 = 4*y. Is (-3)/1 + (5 - y) composite?
True
Is (9/(-63))/((-4)/14)*662 composite?
False
Let d(n) = 1358*n**3 + n**2 - 2*n + 2. Let l be d(1). Let r = l - 658. Is r prime?
True
Let n(a) = 1485*a**3 - 2*a**2 + 2*a - 1. Let q be n(1). Let c be 0 - (-2 - 1) - 0. Suppose -b - c*b = -q. Is b composite?
True
Let u be (-10)/(2/(-10) - (-693)/3815). Suppose -2*b - 2*l + 218 = 0, 3*b = -2*b + 2*l + u. Is b a composite number?
False
Let c = -5103 - -9400. Is c composite?
False
Let s be (-3)/(-12) - (-15)/4. Let a = -75 - -77. Suppose 4*g = -g - s*m + 835, 2*m + 316 = a*g. Is g composite?
False
Let o = 7348 + -4793. Suppose 3*n = c + o, n - 1718 = -n - 3*c. Is n prime?
True
Let q = 198 + 1756. Is q a prime number?
False
Let m = -26039 - -37422. Is m a composite number?
False
Let s = -108 - -108. Suppose s = 4*q - 2617 - 40