False
Suppose -70*b = -42*b - 2884. Let n = b - -4431. Is n composite?
True
Suppose -15*m - 10*m = -1451475. Suppose -4 = 2*u, 5*b + 12904 = 5*u + m. Is b a prime number?
True
Suppose -5*v = 3*b + 824 + 91, 2*v = 0. Let m = 855 + b. Let d = m + 133. Is d a composite number?
False
Suppose 150*g - 145*g = -3*z + 1710239, 5*g - 4*z = 1710218. Is g a prime number?
False
Let m(u) = 598*u - 39. Suppose -5*i + 2*r = -0*i + 28, 0 = i + 5*r + 11. Let j be m(i). Is (-2 + (-28)/(-16))*(j - 1) composite?
False
Suppose 3*t - 52221 - 108343 = 307703. Is t a composite number?
False
Let d = 30 - 8. Let s = 34 - d. Is -2 - 57*(-16)/s prime?
False
Suppose 3*l + 4 = 13. Let j(v) = -3*v**2 + 40*v - 11. Let b be j(13). Suppose b*w = l*o + 1129, -3*o = w - 412 - 148. Is w a composite number?
False
Let u = -12618 + 71683. Is u a composite number?
True
Let g = 364235 - 67200. Is g prime?
False
Let w be -3 - (196/21 + -9)*-15. Let q(j) be the first derivative of 20*j**4 + j**3/3 - 3*j**2/2 + 3*j + 1. Is q(w) composite?
False
Let y(z) = 251*z + 8. Let s(a) = 252*a + 7. Let u be (4 + -1)*(6/18 + -2). Let p(x) = u*s(x) + 4*y(x). Is p(-8) a prime number?
False
Let b be (-3 + 4 - -1)*(-2 + 3). Let v be (15/(-6))/(b/4 - 1). Suppose 5*k = -4*m + 1394, k - 1736 = -v*m - 2*k. Is m a prime number?
False
Let k = 229 - 222. Suppose -k*o - 13684 = -11*o. Is o prime?
False
Suppose -18205 = -13*u + 8*u + 5*p, -3*u = -4*p - 10920. Let f = u - -10998. Is f composite?
True
Let x = 102 - 36. Let h be 2/(-3) + x/18. Suppose 8*u - h*u - 4*p - 1483 = 0, 4*p = u - 287. Is u composite?
True
Let t be (5 - 7) + (-20)/(-5). Suppose -2*r + 5860 = -3*s - 2539, -r - t*s = -4203. Is r prime?
True
Let f = -2552 - -949. Let k = 4730 + f. Is k prime?
False
Let n(d) = d**3 + 16*d**2 + 14*d - 22. Let i = 3 - 18. Let z be n(i). Let j(f) = 6*f**2 + 2*f + 27. Is j(z) composite?
False
Let p be 3 + -2 - -2 - -2. Let w be ((-306)/p)/(3/(-50)). Suppose 227 = 3*a - 3*v - 532, -w = -4*a - 4*v. Is a a composite number?
True
Let t(z) = 3*z + 10. Let m be t(-6). Let y be ((-2298)/m)/((-12)/(-16)). Suppose -4*i = y - 4491. Is i prime?
False
Let o = 383570 + -243243. Is o a composite number?
True
Suppose 0 = -134*w + 137*w - 5*z - 363766, 121239 = w - 4*z. Is w prime?
True
Suppose 8*b + 29692 = -5*b. Let m = 4863 + b. Is m composite?
False
Let j(q) = -9*q - 53. Let p be j(-6). Let u be (-16778)/(-4) - p/(-2). Suppose -10*k + u = -5*k. Is k prime?
True
Suppose 0 = l - 5, 3*l = -t - l + 80. Let q = 431 - t. Is q prime?
False
Is (-11846)/8*(58 + -150) composite?
True
Let p = -91921 - -158532. Is p a composite number?
True
Let n(x) = -255*x**3 + 2*x**2 + 7*x + 7. Let j(m) = -6*m + 4*m - 3*m + 10 - m. Let r be j(2). Is n(r) a composite number?
True
Let x(l) = -33*l**3 + 13*l**2 + 62*l + 155. Is x(-7) prime?
True
Let u(b) = 453*b**2 - 423*b**2 + 4*b - b**3 + 33 + 31*b. Is u(31) composite?
False
Suppose -5*p - 4*n + 16 + 16 = 0, 5*p - 4*n = 8. Suppose y + 4947 = p*y. Is y composite?
True
Suppose 11*s = -0*s + 6226. Let d = -445 + s. Is d prime?
False
Let l(z) = z**3 - 2*z**2 + 3*z + 28. Let i be l(0). Let o = -26 + i. Suppose -6 = 4*h + 2, m - o*h = 1442. Is m prime?
False
Is -1514*(-3050)/20 + (0 - 1) + -3 a composite number?
True
Let a(u) = -87*u + 173. Let o be a(2). Let n be ((-2 - -3) + -1)*1. Is (o - n - -2) + 352 a prime number?
True
Let i(s) be the third derivative of 26*s**2 - 1/24*s**4 + 0 + 23/30*s**5 + 0*s + 2/3*s**3. Is i(5) composite?
True
Suppose 0 = -9*m + 157241 + 35080. Suppose 3*k - 18390 = m. Is k a composite number?
True
Let g = 35192 - 20713. Is g a composite number?
False
Let m = 190593 + -329145. Let j = -61223 - m. Is j prime?
False
Let s = 837 - 825. Is 5541*((-10)/s)/((-120)/48) prime?
True
Let k(g) = -111*g - 178. Let q(j) = 14*j + 65. Let w be q(-6). Is k(w) a prime number?
True
Let y(q) = 2*q**3 - 17*q**2 - 9*q - 1. Let j be y(9). Is (j - -2)*(1854 - 7) a composite number?
False
Let r(z) = -13*z**3 - 5*z**2 + 24*z + 83. Is r(-18) prime?
True
Let o be -2 + -1 - -2 - -9. Suppose 14*s - o*s - 1782 = 0. Suppose 5*w = 2408 + s. Is w a composite number?
False
Let r(y) = -y**3 + 7*y**2 + 2*y - 15. Suppose -2*g + u + 34 = 6*u, -5*u + 55 = 5*g. Let o be r(g). Is ((-226)/6)/(o/3) composite?
False
Suppose -3*g + 3*z = 7*z + 29, -z - 20 = 5*g. Let o be g/(1 + (-5960)/5948). Suppose 2*r - o = -73. Is r prime?
False
Suppose g = -3*g + 16. Let d be g*((-16865)/(-20) + 3). Let m = -1874 + d. Is m prime?
True
Suppose -5*s - 116 = -7*s. Let n = s + -50. Let k(z) = z**3 - 4*z**2 + 9*z + 9. Is k(n) composite?
False
Let f(o) = 6*o + 28. Let i be f(-5). Let z(d) = -d**3 - d**2 - d - 1. Let c be z(i). Suppose -k - q = -250, 0*k = 4*k + c*q - 996. Is k composite?
True
Let d(f) be the third derivative of 67*f**5/60 + 13*f**4/24 - 79*f**3/6 + 70*f**2. Is d(5) prime?
False
Is (4*1040307/(-152))/(6/(-4)) prime?
True
Suppose -416 + 404 = 3*h, -228160 = -4*c + 3*h. Is c a prime number?
True
Suppose 2*k = -15*k + 5661. Is (-1)/((-5)/10) + k composite?
True
Let m = 40688 - 3682. Is m a prime number?
False
Let i = 43932 - -55039. Is i composite?
True
Let q = 263 - 116. Let f = 2 + q. Is f a prime number?
True
Let a be (-10)/6*9/(-15)*5. Suppose 4*m = a*m - 8803. Is m a prime number?
True
Is 30364621/91 - (7 - (-623)/(-91)) prime?
False
Let o(p) = 2*p**3 - 151*p**2 - 79*p - 275. Is o(81) composite?
False
Suppose -286625 - 14527 = -32*c. Is c prime?
False
Let i(x) = 2*x**2 + 23*x - 9. Let u be i(-12). Suppose -5*r + u*f + 1180 = 0, 5*r = -4*f - f + 1140. Suppose 0 = -y + r + 16. Is y a prime number?
False
Suppose -q + 3*r = -499586, 3*q + 408848 = -5*r + 1907620. Is q composite?
True
Let x be (-4)/(-10) - (6 + (-190)/25). Suppose 2*w = -2*y + 11190, 0*y + 5*w + 11162 = x*y. Is y composite?
False
Let s(t) = t**3 + 25*t**2 - 25*t + 30. Let q be s(-26). Suppose -20 = -q*k - 6*k. Suppose k*a - 1358 = 4*b, 3*a - 6*b + 4*b - 2025 = 0. Is a a composite number?
False
Suppose -639*t = -635*t + 336. Is (t - -83)/(2/(-109046)) prime?
False
Let u(l) = -l**3 - 6*l**2 + l - 39. Let p be u(-7). Suppose -p*n - 2*v = -22829, 3*n + 2*n - 3*v = 38042. Is n a composite number?
True
Let o be 4/(-18) + -21*328/108. Let z = o + 76. Is (1 - 75)*(-6)/z a prime number?
True
Let w = 313383 + -188252. Is w prime?
True
Let i(m) = -2889*m - 19. Let k(v) = -3*v**2 + 32*v + 42. Let l be k(12). Is i(l) composite?
True
Let d(o) = o**3 + 116*o**2 + 212*o + 195. Is d(-82) composite?
False
Is (7 + (-1738)/242 - 14/44)*-280766 a composite number?
True
Suppose 3*g = k - 820 - 66, 0 = 4*g - 28. Is k a prime number?
True
Let k(q) = 22*q**3 + 3*q**2 + 15*q + 31. Is k(6) prime?
False
Let n(o) = 1695*o + 13. Let d be n(9). Suppose 0 = 32*t - 28*t - d. Is t prime?
False
Suppose 43*s = 12216459 - 2426200 + 14706110. Is s a prime number?
True
Suppose -386500 = -4*b - 2*w, 5*w + 303275 = 4*b - 83197. Is b a prime number?
False
Let q(v) = 2986*v**3 + 2*v**2 + 13*v - 25. Let k = 144 + -142. Is q(k) prime?
False
Suppose 2*u - 2*m - 30 = m, -4*u - 4*m + 100 = 0. Let q be (-6)/u - 51837/(-7). Suppose -4*n = -3855 - q. Is n prime?
False
Let q(t) = -88*t**3 + 9*t**2 + 19*t - 9. Is q(-10) a prime number?
False
Is 32/(-14) + 2 + (-23853805)/(-1015) a composite number?
True
Let v be 1/(4/12) + -3369. Let h = 2251 + v. Is h/(-2)*(-7 - 259/(-35)) a composite number?
False
Suppose 8*j - 43 = -11. Suppose -j*f = -2414 - 9158. Is f composite?
True
Let o = -123559 - -253188. Is o a prime number?
True
Let q be (-5)/(-30) - (-1)/24*-4. Is (1282/(-10) - q)/(19/(-95)) composite?
False
Let a(w) = 324*w**2 + 265*w + 171. Is a(-40) prime?
True
Let p(b) = 20643*b**2 - 3*b - 7. Is p(2) composite?
False
Let y = -695534 + 1068553. Is y a composite number?
False
Suppose 0 = 19*r - 6*r - 52. Suppose 3*g - 3230 - 6264 = d, -3*d + 12637 = r*g. Is g a composite number?
False
Let c(n) = 43*n - 12*n - 35 - 12 + 22*n + 3*n**2 + 36*n. Is c(36) composite?
True
Let f = 260 + -258. Is f*(-559)/(-2) + 0 a composite number?
True
Suppose 0*l + 5*l = 40840. Suppose 0 = -0*i + 4*i - 4*o - l, 3*i - 6123 = 2*o. Is i prime?
True
Suppose -7787542 = -181*j + 83*j + 84*j. Is j prime?
True
Suppose 16*j - 2944593 = -13*j - 52*j. Is j composite?
False
Suppose 8433 = -2*s + 11*s. Suppose -6*i - 5*w = -7*i + s, -5*i - 4*w = 