
False
Let m(r) = 2*r**2 + 26*r - 3. Is m(19) a prime number?
True
Let n = 193 - 66. Suppose -1207 = -2*q + n. Is q a prime number?
False
Let n be -4 - (-4 + 3 - -517). Let p = n + 1005. Is p composite?
True
Let o be 9*60 + -1 + (2 - 3). Let s = o - 231. Is s a prime number?
True
Let j(v) = -909*v**2 - 2*v + 1. Let c(r) = -910*r**2 - 2*r + 1. Let s(y) = 3*c(y) - 4*j(y). Is s(1) composite?
False
Suppose -2*p + 12 = 4*i, 3*i - 6 = 4*p + 3. Suppose -4*l - i*c + 66 = -7, -l - 5*c = -14. Is l prime?
True
Let r = -2 - -4. Suppose 3*t = 4*t + r. Is 28/35*(-335)/t composite?
True
Suppose 0 = -3*h - 5*u - 1448, -h - 490 = -0*h - 2*u. Let c = h - -865. Is c a prime number?
True
Let n = 2114 - -602. Suppose -j = -f - 2704, j + 3*f = -0*j + n. Is j composite?
False
Let x(k) = 9*k**2 + 6*k + 3. Let j = -29 - -25. Is x(j) composite?
True
Let v(l) = 5*l**2 - 61*l - 41. Is v(40) a composite number?
False
Let d = 36122 + -20307. Is d prime?
False
Let t(m) = m**3 + 2*m**2 + 8*m - 2. Is t(3) a prime number?
True
Suppose q = 5*q - 4*c + 8, -4*q = -5*c + 10. Suppose q = 4*h - 8*h + 676. Suppose 0 = 5*y + h - 954. Is y a composite number?
False
Let o(f) = -6*f**3 - 4*f**2 + 5*f - 106. Is o(-17) a composite number?
True
Suppose 4*n + 7 = 23. Let k(p) = 3*p**2 + 3. Is k(n) composite?
True
Is ((-6)/(-72)*18)/((-3)/(-266898)) a prime number?
False
Let h(j) = 607*j**2 + 7*j - 21. Is h(4) prime?
True
Let u = -21 + 21. Is -1*(-11 - (0 + u)) a composite number?
False
Let t = 23058 + -16325. Is t a composite number?
False
Suppose 4*i - 3*j - 9 = 0, -5*i = -3*i + 2*j - 8. Suppose -369 + 102 = -i*c. Is c prime?
True
Let k(s) = s**3 - 12*s**2 + 15*s + 5. Let x(n) = n**2 + 2*n - 3. Let f be x(-5). Is k(f) a prime number?
False
Suppose 6*k - k - 810 = 0. Let l(d) = 9*d + 17. Let y be l(-10). Let u = k + y. Is u composite?
False
Suppose 9*n + 7*n + 16 = 0. Is ((-4)/12)/(((-2)/(-132))/n) composite?
True
Suppose 3*o + 2*o = 3*c + 50, -4*o + 2*c = -38. Let d(b) = 42*b - 8 + o + 0. Is d(2) a composite number?
False
Let h(c) = 218*c**3 - 3*c**2 + 12*c - 23. Is h(2) a prime number?
True
Let u(t) = t**3 - 6*t**2 - 17*t + 8. Let o be u(14). Suppose 3*w - 9 = 0, 3*m - 2*w = 3*w + o. Is m prime?
False
Let u(o) = 172*o + 10. Let z(r) = 171*r + 8. Let b(s) = 4*u(s) - 3*z(s). Is b(3) prime?
True
Let q(s) = s**3 - 12*s**2 + 12*s - 7. Let d be q(11). Let x(u) = -u + 6. Let g be x(d). Is (623/(-28))/(g/(-8)) composite?
False
Suppose -3*g = -3*k + 12, -5*g - 3*k - 2 - 2 = 0. Is ((-11848)/24)/((g/6)/1) composite?
False
Let s(d) = -4*d + 3. Suppose 1 = 4*p + 13. Let q be s(p). Suppose f = -2*x + 101, 2*f + x - q = 178. Is f composite?
True
Let u(d) = -d**3 - d - 3. Let p be u(0). Is (-30)/((-9)/p)*(-3396)/24 prime?
False
Let k be (-3)/(3/(-1)) + 2. Suppose k*h + 3 = 6*h. Is (h + 3 + -93)*-1 composite?
False
Let l(b) = -196*b**3 - 10*b**2 - 32*b - 1. Is l(-3) composite?
False
Let m(j) = -j + 1. Let f be m(-2). Suppose -16 = 5*b + 9, -3*x = b - 4. Suppose 2982 = f*c + x*c. Is c a prime number?
False
Let x(c) = -2020*c - 739. Is x(-21) a composite number?
False
Let g be (2/(-5))/(3/75). Let f be (g/(-4) - 3)*-8. Suppose -2*u = -3*n - 2*n - 331, -u - f*n = -159. Is u prime?
True
Suppose -3*t - t - 5*l = -87, -2*t + 33 = -l. Let d = t - -13. Is d a composite number?
False
Suppose 0 = 8*s - 81 + 1. Suppose 0 = -s*u + 3*u + 3493. Is u prime?
True
Suppose -3*p + 4536 = -k + 125, 4*p + 5*k - 5894 = 0. Is p prime?
True
Suppose -33*j = 5*j - 302594. Is j a prime number?
True
Let o be -4 + -837 + -2 + 1. Let d = o - -1753. Is d a prime number?
True
Let r(y) = 7*y**2 - y. Let p be r(1). Suppose 433 = -3*b + 442. Suppose -p = -2*t, 5*t - t = b*m - 246. Is m composite?
True
Let c be (-37836)/(-60) + 4/10. Is c - 1/1*-2 a prime number?
False
Let c be -3 + (-1 - (-66 + -1)). Let h = -84 - c. Let u = h - -454. Is u a prime number?
True
Let g be 3 - 37*(-5 + 3). Let k = 300 + g. Is -1*-1*k*1 a prime number?
False
Let j be (-4)/8 + (-18)/4. Let d = j + -2. Is (-6675)/(-35) + (-2)/d a composite number?
False
Let f = 154 + 190. Let q = -196 + f. Is (q/(-6))/((-6)/45) a prime number?
False
Let j be -62*(14/(-4) - 4). Suppose -j = -0*z - 5*z. Is z prime?
False
Let v be (-1 + 1)/(-3 + 24/6). Suppose -2 = s - v*s, -1481 = -3*h + 4*s. Is h prime?
True
Let c be 2 + (2 - ((-12)/6 + 2)). Let m be 622/4 - 1/2. Suppose 815 = 5*p + 5*k, -p - k + m = -c*k. Is p a prime number?
False
Let h be (-34338)/8 - -4 - (-2)/8. Let g = -1179 - h. Is g a prime number?
True
Let i = 7 - 3. Suppose 0 = 4*k + y - 333 + 2254, -3*k = i*y + 1431. Let b = k - -924. Is b composite?
False
Let a(q) = 3034*q**2 - 17*q - 49. Is a(-8) a prime number?
True
Let w(j) = 161*j**2 + 6*j - 107. Is w(10) a prime number?
False
Suppose 0 = 3*j, 4*j + 2 + 2 = 4*k. Is (-9)/(-18)*k*470 a composite number?
True
Is ((-333948)/(-306))/(2/3) prime?
True
Let q be (14/(-8))/(2/(-88)). Let v = 719 - q. Suppose 3*p - v = -4*i - 0*p, -i - 3*p = -165. Is i a prime number?
False
Let a(q) = -11*q**3 + 7*q**2 + 7*q - 7. Is a(-4) composite?
True
Let c = 42 - 4. Suppose 6*d - 46 - c = 0. Is d a prime number?
False
Suppose 2*w - 705 = -191. Let t = -172 + w. Is t a prime number?
False
Suppose 0 = -5*m + 4 + 1. Let y be ((-1 - -4) + 0)*m. Suppose -4*r + 201 = q - 266, -5*q + 2450 = -y*r. Is q prime?
True
Is 41*((-7 - -3) + -445)*-1 prime?
False
Suppose -2*j + 36 = 4*j. Is (j/(-12))/(3/(-4506)) prime?
True
Let d = -72 + 127. Let y be d/7 - 1/(-7). Suppose -8525 = -y*a - 3445. Is a a composite number?
True
Let v(w) = 1295*w**2 - 26*w - 25. Is v(6) a prime number?
True
Let l = 43032 - 15841. Is l prime?
True
Let t = 2927 + -1558. Is t a composite number?
True
Is -7 + (-372150)/(-60)*32/10 composite?
False
Suppose -2 = -2*c + 3*a + 8, -c + a = -5. Suppose 437 = -4*r + 3*l, c*r + 4*l = 3*l - 570. Let h = 200 + r. Is h composite?
True
Suppose 10*c - 626030 + 89220 = 0. Is c a composite number?
False
Let q(m) be the first derivative of -8*m**3/3 - m**2 - 4*m - 2. Let s be q(3). Let h = 209 + s. Is h prime?
True
Let w(k) = -4*k - k + 84 - 5*k - 75. Suppose -3*z + 2 = -4*l + 7, 0 = l + 4. Is w(z) prime?
True
Suppose -1 = 3*l + 5*o, -5*o - 3 = 4*l - 5. Suppose 8*j - 10 = l*j. Suppose 284 = 4*x - j*y + 20, 0 = 4*x + 5*y - 278. Is x a prime number?
True
Let t = 20 - 21. Let i(o) = 619*o**2 + 2*o + 1. Let q be i(t). Suppose -w + q = -271. Is w a prime number?
False
Is 3/(-24)*2 + (-61980)/(-48) a prime number?
True
Is (7/21)/(3/58221) a composite number?
False
Let y = 52 + -16. Suppose -y*u - 1623 = -39*u. Is u a composite number?
False
Let z(l) = -2*l + 0*l**2 - 24*l**3 - l**2 + 19*l**3 - 7 + 0*l. Is z(-6) a prime number?
True
Let o be (-2)/3 + (-298)/3. Suppose 0 = -2*t - 2*w + 764, -213 - 1310 = -4*t - 5*w. Let x = t - o. Is x a prime number?
True
Suppose -3*v - 3*w - 4 = -2*v, 0 = 5*v + 4*w - 2. Suppose 4*d = 3*d + 2*n + 200, -v*d - 2*n + 388 = 0. Suppose 3*b - 5 - d = 0. Is b composite?
False
Suppose 5*o + c - 108833 = 0, 4*o - 3*c - 32923 - 54151 = 0. Is o a prime number?
True
Let z(j) = j + 2567. Let w be z(0). Suppose 2*p - 6*p + w = 5*m, m + 2*p = 511. Is m a composite number?
True
Suppose -9*v + 26316 = 4761. Suppose v = 10*x - 5*x. Is x prime?
True
Suppose 9 = -3*l, 0 = -5*b + 6*l - 9*l + 27226. Is b composite?
True
Let n(r) = 919*r + 32. Let x(h) = -5*h - 12. Let l be x(-3). Is n(l) composite?
False
Let n be (-126)/8 + 3/(-12) + 1. Is 1217*((-6)/(-4) - n/(-30)) a composite number?
False
Suppose -v = -3*z + v + 46, -4*v + 4 = 0. Suppose 19*k - 1878 = z*k. Is k a prime number?
False
Suppose 5 + 1 = -2*c, 5*c = -5*s + 39120. Is s prime?
False
Suppose -255171 + 1129053 = 54*k. Is k composite?
False
Let p be (-2 + -1)*(-6)/12*102. Let h = p - -742. Is h composite?
True
Suppose 3*q - 23 = -i, 2*q - 7 = 3. Let m(n) = i*n - 10*n + 8*n - 7. Is m(5) a composite number?
False
Suppose 2*o - 5 + 1 = 0. Is (330 + -1)*o/2 a composite number?
True
Let s = -11 - -11. Suppose s*n + 3*a - 546 = 5*n, 5*a = -5*n - 570. Let d = -28 - n. Is d composite?
False
Suppose -5*c = -11*c + 108. Suppose -8*f - 4690 = -c*f. Is f a prime number?
False
Let d = 16 + 78. Suppose j + j + d = 0. Let r = j - -93. Is r composite?
True
Let g(l) = -l**2 + 13*l + 1. Let b(u) = -u**3 - 3*u**2 + 38*u + 2. Let c(y) = -6*b(y) + 1