
Suppose 22 = 2*b + 14. Suppose 3*a = -b*j - 0*a + 642, -165 = -j - 3*a. Is j a prime number?
False
Suppose 5*u = p - 39, 3*p - 3*u = 2*p + 29. Let f be 7/(p/72) + -1. Let z = f - -114. Is z composite?
False
Suppose -84203 = 113*p - 120*p. Is p prime?
False
Suppose -4*z = 4*y - 4612, 0 = 5*y - 3*y - z - 2306. Let v = -522 + y. Is v prime?
True
Suppose 8*i + 6*i = 105826. Is i prime?
True
Suppose 0*a - 4*a + 48835 = 3*p, -5*p - 5*a = -81390. Is p a composite number?
True
Suppose -3*m + 52 = 4*s, -s - 28 = -5*s + 3*m. Let f = -5 + s. Suppose -5*n + 5*y + 65 = 0, f*y - 2*y = -2*n + 16. Is n a prime number?
True
Let d be 34/153 + (-2050)/(-9) - 2. Let a = d - 92. Is a a prime number?
False
Is (10/(-1))/(4/(-2326)) a composite number?
True
Suppose -2*h + 6 = -2*x, 0 = 5*x - 0*x - 2*h. Is 25 + -25 - (x/1 - 391) composite?
False
Let h(g) = 16 - 71*g - 6 - 67*g + 1. Let c = 13 + -19. Is h(c) prime?
True
Suppose 0 = -2*q - 5*g + 131, -q - 23 + 82 = -4*g. Let r be q/(-28)*(-5 - -1). Let w(b) = -b**3 + 8*b**2 + 12*b - 8. Is w(r) a composite number?
False
Is -7 - 5230/5*-9 composite?
True
Let u(d) be the third derivative of 7*d**5/60 - 19*d**4/24 + 25*d**3/6 + 17*d**2. Is u(15) composite?
True
Let p = -70 - -80. Suppose 0 = -p*c + 1730 + 620. Is c a composite number?
True
Suppose -8*r - 6*r + 140098 = 0. Is r a prime number?
True
Is -3*((-535390)/30 - -4) prime?
True
Suppose 0 = 29*i - 23*i - 65820. Suppose i = q + 9*q. Is q prime?
True
Let n(k) = -9*k**3 - k**2 + 13*k. Let p(f) = -f**3 - f**2 - 1. Let x(b) = n(b) - 3*p(b). Is x(-6) prime?
False
Suppose -16*m + 19809 = -7*m. Is m a prime number?
False
Let p = 11 + -9. Let m be p/10 - (-28)/10. Suppose 3*z = -12, -m*z - 80 = -4*u - 5*z. Is u a composite number?
True
Let d be (0 + (-36)/(-15))*-5. Let v be (-5)/10*d/2. Suppose h - 1447 = -2*h + 4*j, 4*j - 1463 = -v*h. Is h composite?
True
Let z be (-6)/14 + 248/7. Suppose 38 = -5*b - 2*j, -5*b - 5*j = -0*j + z. Is b/(-44) - (-5914)/22 composite?
False
Let t = -114 + 259. Suppose -t - 115 = m + 5*f, -481 = 2*m - 3*f. Is (m/(-20))/(3/12) prime?
False
Suppose 4 = 2*k - 2*i - 2, -5*i + 15 = 5*k. Suppose 4 = p - k*n, 0*p - 5*p - n + 20 = 0. Suppose 4*b - l = 216, b - l = p*b - 155. Is b composite?
False
Is (-346)/(-7) - ((-297)/63)/(-11) a composite number?
True
Suppose -z + 5*v = 10, 3*z - 6 = 4*v - 3. Let s = 7 - 2. Suppose 2*w - 16 = 2*t - 652, -s*t = z*w - 1580. Is t prime?
True
Suppose 0 = 5*d - 47 - 48. Let a(o) = 2*o**2 - 8*o + 6. Let g be a(5). Let q = g + d. Is q composite?
True
Let j(h) be the first derivative of -27*h**2/2 - 3*h + 3. Is j(-6) a prime number?
False
Let n = 634 + -100. Let j = 1099 + n. Is j a prime number?
False
Let t(u) = u**3 - 8*u**2 - u + 6. Let x be t(8). Let i be (-9)/x - 6/4. Is 5/5*(124 + i) a composite number?
False
Let k be 0 - (-54)/(-3)*14/4. Let u = -37 - k. Is u prime?
False
Suppose 4*v - 12 = -5*y, 5*y - v = -0*v - 3. Let a be (2 - -1) + 0 - y. Is a - 68*4/(-4) prime?
True
Let x(w) = 2*w - 14. Let p be x(13). Let o(q) = -q**2 + 12*q - 1. Let j(f) = -2*f**2 + 25*f - 2. Let t(d) = 3*j(d) - 7*o(d). Is t(p) a composite number?
False
Suppose 0 = -3*d + t + 87, 0*d - 3*t + 19 = d. Suppose 4*x - 202 = -5*y - 17, -135 = -3*x - 5*y. Let m = x - d. Is m a composite number?
True
Let k = -52276 - -30712. Is k/(-10) - 27/(-45) a prime number?
False
Suppose -l = -2 - 8. Is -5 - (-1749 + -5 + l) a composite number?
True
Suppose 3*n - p - 258 = 2*n, -2*n - 4*p = -492. Let i be (-92)/(-22) + 4/(-22). Suppose -i*v + n = -2*v. Is v a composite number?
False
Let o = 10 + 25. Let i = o + 16. Suppose z - 2*z + i = 0. Is z prime?
False
Let j be (-2)/12 - (-226)/(-12). Let n = 16 + j. Is (12614/(-7))/(n + 1) composite?
True
Suppose 0 = -8*i - 11575 + 83823. Is i composite?
True
Let n = -1 - -5. Let q be (3/n)/(1/1432). Suppose -4*r + q = 3*v - 2083, -r - 4*v = -799. Is r a prime number?
True
Suppose -k = -4*d + 15413, -3*k + 5065 = -4*d + 20480. Suppose -l + d = 5*o - 5*l, 4 = -2*l. Is o a composite number?
False
Suppose -4*o + 6 = o - 3*h, -8 = -3*o + 4*h. Let f = o - -4. Suppose 5*r + 82 = f*d + 241, -3*d - 3 = 0. Is r a composite number?
False
Let g be 2/7 + (-450)/(-42). Suppose g - 103 = -4*k. Is k prime?
True
Suppose 2*q + 2 = 0, 4*v + 70 = 6*v - 2*q. Suppose 5*p - 1 = v. Suppose 2*r = p*r - 185. Is r prime?
True
Let a(m) = -35 + 6*m + 33 + 5*m**2 + 12*m**2. Is a(-3) composite?
True
Suppose -2*x = 2*x + 20. Let k(u) = -u**3 - 5*u**2 - u - 6. Let o be k(x). Is 69 + (o - (0 + -3)) a composite number?
False
Suppose 9411 = 3*z - 5*l, -l + 1850 + 1287 = z. Is z a composite number?
False
Suppose 0 = 12*q - 14 - 22. Suppose -5*l = -2*s - 3583, -5*l + 1431 = -q*l - 3*s. Is l a prime number?
False
Suppose -274 = -d - 3*z, -5*z + 1043 = 4*d - 74. Suppose 2*b - m - 33 = 159, 0 = -3*b + 4*m + d. Is b composite?
False
Let p(k) = 280*k**2 - 52*k + 575. Is p(21) a prime number?
True
Suppose 9301 = 10*f - 4689. Is f prime?
True
Let z = 154 + -280. Is (-6 - z/24) + (-2231)/(-4) a prime number?
True
Let m(g) = -3*g + 12. Let w(v) = v**3 + v**2 - 4*v - 3. Let b be w(-3). Is m(b) composite?
True
Let n(r) = 184*r - 185. Is n(27) a composite number?
False
Suppose -7*q - 230 = -9*q. Is q prime?
False
Suppose 0 = -7*x + 10*x - 6. Suppose h + 4*h - x*q = 893, -2*q = -h + 185. Is h a composite number?
True
Let b(m) = m**2 - 8*m - 4. Let g be b(9). Suppose g*u - 2324 = u. Is u composite?
True
Let r be 2/11 - (2795720/110)/(-2). Suppose 2*u - a - 4*a = 12716, -a - r = -2*u. Is u a prime number?
True
Let u = 7865 + -5410. Suppose 0 = 5*l + 5*b - u, -2*b - 1928 = -4*l + 3*b. Is l a prime number?
True
Let n be (16/(-10))/((-20)/50). Suppose g + 2050 = 6*g - 5*y, n*y = -g + 425. Is g prime?
False
Let d(w) be the second derivative of w**6/60 + w**5/20 - w**4/24 - 5*w**3/3 + 2*w. Let g(z) be the second derivative of d(z). Is g(3) prime?
True
Suppose 11*w - 15*w + 8 = 0. Is w/3*(-18981)/(-18) a prime number?
False
Suppose 0 = 3*n + 5*a - 1043, 5*n - 1685 = 3*a + 2*a. Let s = n + 614. Is s a composite number?
True
Let r(v) = -v + 17. Let s be r(4). Let z(a) = -a**3 + 14*a**2 + 19*a + 3. Is z(s) composite?
False
Is (-24420)/(-39) + 52/(-338) a prime number?
False
Let h(b) = -16*b - 1. Let c be h(-1). Is ((-233)/4)/(c/4 + -4) prime?
True
Let x = 99 + -95. Suppose 0 = 2*m + 2*r + r - 245, -457 = -x*m + 5*r. Is m a prime number?
False
Let g = -8508 - -17701. Is g prime?
False
Let y = 102 - 102. Suppose y = -5*c + 3815 + 5070. Is c a prime number?
True
Let l = 1428 - 1630. Let h be 2/8 + (-62)/(-8). Is -12*(l/h + 1) a composite number?
True
Suppose -53*b = -55*b + 1378. Is b composite?
True
Suppose -4*b = 5*i - 136, 6*i - 2*i + 5*b - 116 = 0. Suppose l = -i - 38. Let c = 117 + l. Is c composite?
True
Let m = -6 - -3. Suppose 4*s + 544 = -2*p - 68, 0 = -4*s - 3*p - 612. Is (74/m)/(6/s) prime?
False
Suppose 3*v - 7355 = -g + 2*g, 5*g = 20. Is v a composite number?
True
Let z(i) be the second derivative of i**3/2 + 701*i**2/2 - 15*i. Is z(0) a composite number?
False
Is 8/4*-2 - -20223 prime?
True
Let v(z) = 36*z**2 - 19*z + 21. Is v(4) prime?
True
Let w(h) = 50*h**2 - h + 4. Let j be w(-4). Let q = -477 + j. Is q prime?
True
Is (99582/9)/(((-16)/3)/(-8)) a prime number?
False
Suppose -1499 = -13*a + 12*a. Suppose -3*l = -2*n - a, 1258 - 265 = 2*l + 5*n. Is l prime?
True
Suppose -6*w + 2*w + 13796 = 0. Is w a prime number?
True
Suppose f + 2 - 6 = 0. Suppose -686 = -2*h + 4*l, -f*l - 608 = -5*h + 1089. Is h a prime number?
True
Let p(j) = 3253*j - 38. Is p(7) composite?
True
Suppose -3*i - 3965 = -112076. Is i a prime number?
True
Let t(j) = 205*j + 9. Let y be t(6). Suppose 4*i = -w + 1000, 4*w - y = -9*i + 4*i. Is i a composite number?
False
Let t(j) = -j**2 - 6*j - 3. Let z be t(-4). Suppose 0 = z*k - 83 - 102. Is k a composite number?
False
Let w = 20 + -18. Suppose -w*a + 194 = -564. Is a a prime number?
True
Let n be (329 - -26) + 0/2. Let c = 504 - n. Is c a composite number?
False
Is (-12)/(-54) - (-5056)/9 a prime number?
False
Suppose 15 = -2*c - c. Let w be (-18)/c - 4/(-10). Suppose -o + 3*x + 86 = 0, -5*x + 249 + 112 = w*o. Is o prime?
True
Suppose -z - f = -1229, 0 = -4*f + 2 + 10. Suppose -13*x + 15*x = z. Is x a prime number?
True
Let d(g) = 6*g + 2. Let c be d