 - 31. Is a prime?
True
Let b be 7 - 1 - 4*1. Suppose -b*w + 0*w = 3*m - 3170, 5*m + 5*w = 5275. Suppose -r + 5*r - m = 0. Is r prime?
False
Let p(k) = 6*k**2 - 21*k + 9*k**2 - 14*k**2 + 27. Is p(-19) composite?
False
Let c be (1 + 1 + -2)/(-1 + 3). Suppose c = -4*a + 696 + 828. Is a composite?
True
Let n(i) = i**2 - 7*i + 8. Let c be n(6). Let t(l) = 396*l**2 - 14*l + 3. Is t(c) a prime number?
True
Suppose m - 115 = 4*m - 5*r, -20 = m + 2*r. Let b = 33 - 41. Let h = b - m. Is h a composite number?
True
Suppose -32 = -4*f - 24. Suppose 2*x - 1313 = -5*d, -x + f*d = -2*d - 663. Is x composite?
False
Let d = -5405 + 53478. Is d a composite number?
False
Let r be (-1)/((-3)/6) - -6. Suppose r*w - 9*w = -2. Suppose 2*p + 764 = 4*u, -2*u + 2*p + w*p + 382 = 0. Is u composite?
False
Suppose -3*i + 2655 = 2*i. Let m = i + -166. Is m composite?
True
Suppose 0 = -2*n + 3*u - 2*u + 502, -3*n - 5*u = -753. Is n a composite number?
False
Suppose 0 = -12*y + 19*y - 22547. Is y a prime number?
True
Let x = 95 - 92. Suppose 1455 = x*m + 2*y, 2*m - 2*y - 971 = 9. Is m composite?
False
Suppose 0 = -6*j + 5*j + 90. Suppose 1497 = 93*o - j*o. Is o prime?
True
Let s(d) = 1565*d + 14. Is s(1) prime?
True
Let u = 1 + 1. Suppose 2*v = -u*v. Suppose v = 2*n - 63 - 51. Is n a prime number?
False
Suppose b - 2 = 3*q, 5*q + 4 = 2*b + 4*q. Suppose -3*c + b*g + 1675 = 0, c + 2*g - 73 = 480. Is c a composite number?
False
Suppose 29942 = 185*l - 183*l. Is l composite?
True
Let k(p) = -18*p**3 + 5*p**2 + 4*p + 3. Let t be k(-6). Let l be t/4 + (-8)/(-32). Suppose 3*y = -4*m + 1225, 3*m - 212 - l = -3*y. Is y composite?
True
Let u = -11119 + 16522. Is u a composite number?
True
Let n be 5 + 1*(-7 + 0). Let u(l) = 59*l**2 + l + 3. Is u(n) composite?
True
Suppose r - 2*r + 13 = 5*k, 0 = 4*k - 4*r - 20. Let q be k/12 + (-21)/(-12). Suppose q*n = 3*v - 149, 4*v + 3*n - 196 = 7*n. Is v a prime number?
False
Suppose -d - 70 = -22. Let c be ((-1040)/d)/((-1)/3). Let b = c - -136. Is b a composite number?
False
Suppose 3*f = 13*f - 10. Let t(y) = 192*y**3 - 2*y**2 + y. Is t(f) a composite number?
False
Suppose 54*p - 50*p + 58962 = 2*j, -3*j = 4*p - 88463. Is j prime?
False
Let p = -96 + 234. Let k(o) = 5*o + 76. Let r be k(-16). Is p/r*(-76)/6 composite?
True
Suppose -4*y - c + 15 + 8 = 0, 3*y + 5*c - 30 = 0. Suppose 2*l - 541 = y*r, 3*r - 134 + 1458 = 5*l. Is l a composite number?
False
Let g(y) = -333*y - 129. Is g(-16) composite?
True
Suppose -583 - 350 = -z. Suppose -z = -2*v + 1021. Is v a prime number?
True
Suppose 0 = -3*n - 4*w - 11, 0 = n - 0*w + 2*w + 7. Suppose n*h = 4*j - 2211, 250 = 5*j + 2*h - 2485. Suppose -1297 = -4*z - j. Is z a prime number?
False
Suppose -4*k = -2*k + 18. Let b = -9 - k. Suppose b = -5*t - 3*d + 1486 - 534, -2*d = 2. Is t composite?
False
Suppose 4*h - 22684 = 19304. Is h prime?
False
Suppose 11*k - 6 = 8*k. Suppose 4*j + 2*z = 13824, -j - 4*z + k*z + 3453 = 0. Is j a composite number?
False
Let f be -6*1*(-4)/(-8). Is f/21*-1338 + 8/(-56) composite?
False
Let i = 39997 + -26388. Is i a prime number?
False
Let s(u) = u**3 - 4*u**2 - 5*u - 1. Let n be s(4). Let l = n + 26. Suppose -4*f + 633 = o, -f - l*o + 211 = 67. Is f composite?
True
Let t(u) = u + 16. Let p be t(-13). Is (-952)/(-3) + p/(-9) a prime number?
True
Let m be -68*3*(-1)/2. Let g = m + 235. Is g composite?
False
Let j(a) = 230 + 247 - 7*a + 172. Is j(0) composite?
True
Suppose 0 = -w, -c + 124 = -2*w - 2*w. Suppose 0 = g + 27 - c. Is g a prime number?
True
Suppose -5*d - 9 = -8*d, 2*t - 17224 = 2*d. Is t a composite number?
True
Let x = -4778 + 7609. Is x a composite number?
True
Let i = 414 + -163. Is i a composite number?
False
Let t be 188/8*(-4)/(-2). Suppose 0 = -l + t + 244. Is l prime?
False
Suppose -8*s = -3*s - 2*t - 160595, 96371 = 3*s - 4*t. Is s a composite number?
False
Suppose -3*i + n - 5*n = -163193, 5*i - 2*n - 271945 = 0. Suppose -14*t + i = 16269. Is t composite?
True
Is ((8 - 4)/4)/(3/15831) prime?
False
Let c be (2 - 2) + 15/3 + -3. Is 2605/(-10)*c*-5 a prime number?
False
Let d(f) = -f**3 - 7*f**2 - 7*f + 3. Let u(i) = -2*i + 10. Let s be u(9). Is d(s) a composite number?
True
Suppose f = 5 - 2, 4*z - 2*f - 130 = 0. Let j = z - -93. Is j composite?
False
Let j(v) = -v**2 - 2*v - 1. Let b be j(-1). Let q be (2 - b)/2 - -3. Suppose 20 = q*r, l = -2*l + 2*r + 8. Is l composite?
True
Suppose -2*c = 3*c - h - 2045, c - 409 = -h. Suppose -4*g + 99 + 129 = 0. Suppose w - c - g = -3*z, 461 = 3*z + 2*w. Is z a composite number?
False
Is 5/3*(-14 - -8873) a prime number?
False
Suppose -2*i = -3*w + 3, 5*w + 3*i - 12 = 4*w. Suppose -7*o - 1859 = -y - 4*o, 4*o + 5557 = w*y. Is y composite?
False
Suppose 5*p = -2*y + 17, 3*y + 4*p = -y + 28. Let s(b) be the second derivative of -b**4/12 + 5*b**3/3 - 5*b**2/2 - 5*b. Is s(y) a composite number?
False
Let l be 8/12*-6 + 2. Let w(r) = 2*r + 1. Let y be w(l). Let u(d) = 2*d**2 - 6*d - 1. Is u(y) a composite number?
True
Suppose 3*h = 4*n - 1591, 0 = -5*h + h - 4. Is n a composite number?
False
Let v = 22 - 17. Suppose 3*n - 3*t + v - 14 = 0, 0 = 5*n + 4*t - 51. Let p(j) = 6*j - 16. Is p(n) a prime number?
False
Suppose -4*b + 47665 = 5*x, 4*x - 38132 = 10*b - 15*b. Is x a composite number?
False
Let s = 38308 + -17991. Is s a prime number?
False
Suppose -8 = -6*c + 2*c. Suppose -27 = -2*v + r, -c*v + 7*v + 2*r = 54. Suppose 7*u - v*u = -1335. Is u a prime number?
False
Let d(g) = -g**3 - 25*g**2 - 16*g - 50. Let i be d(-22). Let f = i + 1649. Is f a composite number?
False
Let b(q) = 12*q**2 + 6*q + 45. Is b(11) a prime number?
False
Let l be (-1 + (-2)/3)*-3. Let y be 0 + (713 - 1) - (-28)/(-14). Suppose 3*h = 4*n + 691, y = l*h + 2*n - 459. Is h composite?
False
Let d(m) = 14*m - 11. Let s(g) = g**3 + 5*g**2 - g. Let l be s(-5). Is d(l) a composite number?
False
Let a(l) = -2*l - 5. Let c be a(-3). Is ((-238810)/(-195))/((-5)/(-3) - c) composite?
True
Is 3*(-7 - (-64208)/6) prime?
True
Is 1 + (-21858)/(-5) - (-4)/10 a composite number?
False
Is (-441)/42*3908/(-6) prime?
False
Suppose -n = 719 + 2207. Is (-10)/(-25) + n/(-10) prime?
True
Let p(c) = c**3 - 17*c**2 - 18*c - 30. Let r be p(16). Let n = 2475 + r. Is n composite?
False
Suppose 22*b = 50585 + 1577. Is b a prime number?
True
Suppose 2*y - 2310 - 144 = 0. Is y a prime number?
False
Suppose 5*y + 2*t - 13604 = 0, 15*y + 5*t = 19*y - 10903. Is y a composite number?
True
Suppose 5*f - 1505 = -5*c, 596 = 2*c - 5*f + 4*f. Is c a prime number?
False
Let m(c) = 5 + 21*c - 9*c - 2*c**2 + 47*c**3 - 11*c. Is m(3) a prime number?
True
Let a(f) = 1 + 1 - 14*f - 4*f + 5*f. Let w = 5 - 10. Is a(w) a prime number?
True
Suppose t + 3*y = 2*t - 91, -2*y = -4*t + 374. Let f = t - -15. Suppose -2*r = -25 - f. Is r a composite number?
False
Let h(p) = 45*p**3 - 15*p**2 - 4*p - 15. Is h(4) prime?
True
Suppose -c = -5*c - 8. Let q be 3 + (-8)/c - 3. Suppose -q*n = -7*n + 141. Is n composite?
False
Let t(s) = 2*s**3 - 3*s**2 + 4*s - 2. Let u be t(2). Suppose 5*q = 7*q + 6. Let z = u + q. Is z a composite number?
False
Suppose 5*d - 10 = 0, n = -2*d - 3 + 5. Let a be n - ((-2)/(-2) - 1). Let y = a - -15. Is y prime?
True
Suppose 2594 + 23440 = 6*y. Is y a prime number?
True
Let r(h) = 179*h**2 + 6*h + 4. Let a be r(7). Let p = a - 5746. Is p a composite number?
True
Suppose 2*x - 135642 = -4*m, -2*m + 6*x + 67824 = 4*x. Is m a composite number?
False
Suppose 0 = 2*r - 2*s - s - 542, 2*r = -2*s + 552. Let k = 588 + r. Is k composite?
True
Let f = -25756 - -36243. Is f a composite number?
False
Suppose -d + 5*d + 1934 = 3*n, 477 = -d + 4*n. Let s = -335 - d. Suppose 363 - s = 3*g. Is g composite?
False
Let j(d) = -795*d + 352. Is j(-5) prime?
True
Suppose 5*a + 8 = -0*a - 4*o, -4*o - 8 = -4*a. Let v(w) = -2*w**2 - 3*w + 223. Is v(a) a composite number?
False
Suppose -2*p = 2*p + c - 2163, -p = 4*c - 522. Let k(f) = 0*f + 93 - 2*f + p. Is k(0) a composite number?
True
Let b(h) = 1329*h - 43. Is b(8) prime?
True
Let a(t) = 7*t**3 - 3*t**2 - 15*t + 27. Is a(8) a composite number?
False
Suppose -70 + 361 = 3*b. Suppose -o - 227 = b. Let q = 767 + o. Is q a composite number?
False
Suppose -10 = 5*p + 3*a - 7*a, -4*p = -3*a + 7. Suppose -5*x = 2*q - 165, p*q + x - 42 = 143. Is q prime?
False
