0 = -44*h. Is 166/(7/((-105)/h)) composite?
True
Suppose 4*h - f = 178 + 648, 0 = -4*h + 2*f + 824. Is h - (4/1 + 0) composite?
True
Suppose -601 + 3296 = 5*k. Let p = k + -240. Is p prime?
False
Suppose -5*r - 5 = -0*r. Let c(f) = -2*f. Let m be c(r). Suppose m*v - 506 = 4*n, -5*n + 86 = v - 160. Is v prime?
True
Suppose c + m = 2*m + 9, 3*c - 37 = 5*m. Suppose c*q = -5*a + 3, -5 + 14 = 4*q - a. Is (8 + -15)/(q/(-22)) a prime number?
False
Suppose -4*x = -2*o - 10, -43 + 7 = 4*o - 4*x. Is o*(8/4)/((-2)/107) a composite number?
True
Let f = 4878 + -2749. Is f a composite number?
False
Suppose -5*m + 4 - 1 = 3*a, 36 = 5*a - 2*m. Let r(s) = 6*s**2 - 6 - s**3 + s + 6*s + 2. Is r(a) composite?
True
Suppose -u = -4*f + 181127, 5*f - 148953 - 77457 = u. Is f prime?
False
Let j(g) = 261*g**2 - 1. Let n = -22 + 21. Let c be j(n). Suppose 54 = 2*u - c. Is u a composite number?
False
Suppose p + 182 - 1584 = 0. Suppose -w - p = -3*w. Is w a prime number?
True
Let l(a) = 32*a + 25. Let s be 5*(-9)/(-30)*(-10)/(-3). Is l(s) prime?
False
Let j(p) be the first derivative of -5*p**4/2 + p**3 + p**2 + p - 1. Suppose -i = -3*k - 4*i, 0 = -k + 4*i - 10. Is j(k) composite?
False
Let h = -24425 + 44894. Is h prime?
False
Let o be (-2)/(-2) - -913*8. Suppose -5*l + o = 3*j - 2*j, -2*j = 0. Is l composite?
True
Suppose 6*k - 30 = 11*k. Is ((-10)/k)/(7/5649) a composite number?
True
Suppose -f + 1593 + 7678 = 0. Is f composite?
True
Suppose -5*t - 2079 = -2*o + o, -2*t = 3*o + 818. Let a be (-6818)/11 - (-4)/(-22). Let u = t - a. Is u a prime number?
False
Let g(z) = 34*z**2. Let k(x) = -11*x + 3*x + 9 + 2*x**2 - 1 + 6*x**2 + x**3. Let l be k(-9). Is g(l) a composite number?
True
Suppose 0 = 5*q + j - 18056, 98*q - 3*j = 102*q - 14447. Is q prime?
False
Suppose -2*t - p = -3*t - 129, t = 4*p - 135. Let v = 684 + t. Is v a prime number?
True
Let t = -1008 + -291. Let f = 2124 + t. Let d = 1160 - f. Is d a prime number?
False
Suppose 5*n - 5122 = q, 0 = -2*q + n - 6403 - 3877. Let w be (-1)/(-7) + q/(-21). Let a = w + 256. Is a a composite number?
True
Suppose 0 = 3*u - 2*o + 5932, -9892 = 2*u + 3*u + 2*o. Suppose 11054 + 4681 = -5*v. Let p = u - v. Is p composite?
True
Suppose -35*j + 36 = -31*j. Suppose -6*k + j*k = 147. Is k composite?
True
Let w = 9386 + 7373. Is w a prime number?
True
Suppose -7*s = -2*s. Let z be 1*-1 + 72 + (40 - 39). Suppose s = 5*j - z + 2. Is j composite?
True
Suppose -55*k + 21*k = -421090. Is k a composite number?
True
Suppose 5*p - t + 1395 = 6040, -p = t - 929. Is p a prime number?
True
Let z = 13 + -17. Is ((-107)/z)/((-9)/(-108)) composite?
True
Let c(q) = -q**3 - 3*q**2 - 2*q - 3. Let s be c(-4). Let d = s + 18. Is d prime?
False
Let n(m) = m. Let c be n(9). Let u = 8 - c. Let j(d) = -92*d - 1. Is j(u) a prime number?
False
Let w = 6864 + -3371. Is w composite?
True
Suppose -32 = 4*i - 4*b, 2*i = -5*b + 6 + 13. Let y(r) be the third derivative of 11*r**5/60 + r**4/8 + 2*r**3/3 - r**2. Is y(i) prime?
False
Let j(n) = 14*n**3 - 2*n + 1. Let h be (2 - 1)*(1 + 0). Is j(h) prime?
True
Let g = 9075 - 5414. Is g a prime number?
False
Suppose 0 = -y + 19 - 14. Suppose 61 = -y*w + 316. Is w a prime number?
False
Is ((-14762)/(-44))/(0 + 2/4) a prime number?
False
Suppose -s = -0*s + 241. Let w(o) = -o**2 - 362. Let c be w(0). Let n = s - c. Is n prime?
False
Let v be 54/(-12)*1/(3/2). Is (-11)/v*(-1 - -10) a composite number?
True
Suppose -4*f + 35 - 7 = 0. Let l(c) = 10*c**3 - 7*c**2 - 5*c - 15. Is l(f) a composite number?
False
Suppose -3*a + 3 = -15. Let b be (4/a)/(1/(-81)). Is (-2)/9 - 2010/b prime?
True
Let f = 7 - 6. Let r be f + (-2 - -10*1). Is 2/(-1 + 15/r) a composite number?
False
Suppose 9*a + 7815 = 14*a. Is a a prime number?
False
Is (-1532065)/(-475)*10/2*1 composite?
False
Let d(b) = 60*b**2 + 2*b - 7. Let q be d(3). Suppose q = -g + 8*g. Is g composite?
True
Let p = 61 - 56. Suppose -3*u + 3340 = p*r, 5*u - r - 5577 = r. Is u a composite number?
True
Let n = -39 + 22. Let v be 1/(-3) + n/3. Let i(u) = -u**2 - 19*u + 4. Is i(v) a prime number?
False
Let a = 16483 + 8578. Is a prime?
False
Suppose 5*f = 2 - 22, -3*v + 163 = -f. Let s = v - -62. Is s composite?
True
Suppose y = -3*c - 120 + 4315, -y - 2800 = -2*c. Is c a composite number?
False
Let x = 240 - 109. Let c = -305 + x. Let i = 359 + c. Is i a composite number?
True
Let v(u) = -u**2 + 18*u + 4. Let s = 1 + 8. Is v(s) a composite number?
True
Suppose 16*t = 23*t - 43113. Is t a composite number?
True
Suppose -526*w = -520*w - 60222. Is w a prime number?
True
Suppose 45*k - 280049 - 469156 = 0. Is k prime?
True
Let z(h) = 326*h**2 - 52*h - 5. Is z(-12) composite?
False
Let n(f) = -f**2 - 3*f + 10. Let k be n(-4). Suppose 2690 = k*r + 236. Is r composite?
False
Suppose -31832 = 43*u - 51*u. Is u a composite number?
True
Let l be (-8 + 5)*26/(-6). Is 2/l - 2*62867/(-182) prime?
True
Suppose y + 112 - 959 = 0. Suppose j + 0*o - 3*o = y, 0 = 2*j - 4*o - 1690. Is j prime?
False
Let u(o) = 2*o**3 - 6*o**2 - 5*o + 5. Let h(d) = -5*d**3 + 12*d**2 + 10*d - 11. Let f(z) = -3*h(z) - 7*u(z). Let n be f(-5). Is 55 + n/((-4)/(-4)) prime?
True
Let a(c) be the third derivative of -c**6/120 - 4*c**5/15 - c**4/12 + 7*c**3/3 + 10*c**2. Is a(-17) prime?
True
Let k = -87 - -87. Suppose k = -3*n - 9, x + 858 = 4*x + n. Is x a composite number?
True
Suppose 8*w = 3*w. Suppose w = c - 0*c - 1187. Is c a prime number?
True
Suppose 0*o = 2*q - 3*o - 14, 4*q - 2*o - 28 = 0. Suppose -q*n + n + 138 = 0. Is -2 - ((2 - n) + 4) a composite number?
True
Let v(k) = -4*k - 7. Suppose 6 = -2*m + 4*d, d = -2*m + 2 - 8. Let p be v(m). Suppose 212 = -p*b + 607. Is b a prime number?
True
Suppose -3*g = -6, -j - 3*g - 7902 + 20897 = 0. Is j composite?
True
Let z(x) = -x**2 + x + 1. Let g(t) = -t - 2. Let r(n) = g(n) - z(n). Let f be r(-2). Suppose -5*a = f*l - 325, 2*a - a + 130 = 2*l. Is l composite?
True
Suppose -90 = -2*m - m. Let i = -12 + m. Suppose -i = -u + 1. Is u prime?
True
Let r = -12 - -126. Let c = r + 162. Suppose -5*q + 109 = -c. Is q composite?
True
Suppose -z + 27 = -5*q, 15 = 2*q - 5*q. Suppose 2 = 2*p, 129 = z*s + 5*p - 30. Is s composite?
True
Let u = -14 - -23. Let g = -8 + u. Suppose -155 = -2*s - g. Is s prime?
False
Let a = -4490 + 10429. Is a prime?
True
Suppose 2*a = 27 - 25. Suppose -4 - a = 5*g. Is 52/16*(93 + g) a prime number?
False
Let o(v) = 38*v**3 + 3*v**2 + 4*v - 17. Is o(4) composite?
True
Suppose -v + 3*v = 5*l + 753, 3*l - 1867 = -5*v. Let o = 756 - v. Is o prime?
False
Suppose -4*j + j + 483 = 0. Let z = j + 18. Is z a composite number?
False
Let q(t) be the first derivative of 7*t**3/3 + t**2 - 4*t - 20. Is q(-3) a prime number?
True
Suppose -2*r + 6*r - 4*u = 4988, r + 4*u = 1237. Suppose x = -2*x - 4*c + r, c + 830 = 2*x. Is x composite?
True
Let n = -2 - -7. Suppose 3*m = -n*k + 280, 5*k - k - 202 = 2*m. Let d = k + -18. Is d a composite number?
True
Suppose 2*a + 22 = 3*x, 3*a + 20 = 5*x - 15. Is x/(-8)*(4 - 4718) prime?
True
Let q = -2082 - -3197. Let d = q + -444. Is d a prime number?
False
Let b(j) = 75*j**2 - 3*j + 91. Is b(15) composite?
False
Suppose -z - 3*u = -16, 5*z - 2*u - 29 = -0*u. Suppose z*y - y = 1398. Is y prime?
True
Let y(q) be the third derivative of -q**4/24 + 25*q**3/6 + 10*q**2. Is y(-6) prime?
True
Suppose -11*o + 11107 = -9144. Is o prime?
False
Let v(m) = -28*m + 15. Let q(o) = -o. Let x(w) = 3*q(w) + v(w). Is x(-8) a composite number?
False
Is 12/18*-12 + 4645 prime?
True
Let y(n) = -n**3 + 3*n**2 + 6*n - 6. Let b be y(4). Let x(h) = -3 + 2 + h + 2 + 12*h**b + 5. Is x(-7) prime?
True
Let a be 3 + 0 + 7 + 45. Suppose 2*d + 0*d + 3*u = 85, a = 2*d - 3*u. Is d prime?
False
Let o be (940 + -1)/((9/2)/9). Let h = o + 341. Is h prime?
False
Let u(j) = -12*j**3 - 6*j**2 - 23*j - 23. Is u(-8) prime?
False
Let j = -1 - -15. Suppose 4*p - 6 - j = 0. Suppose 3*r = -2*r - 2*f + 273, 4*r + p*f - 232 = 0. Is r prime?
True
Let p(c) = 2*c**2 + 5*c + 4. Let r be p(-5). Suppose r = m - 26. Is m a prime number?
False
Let c = -7 - -9. Let b = c - 1. Is (-1 - b) + 1 + 44 a prime number?
True
Suppose -26*c = -24*c - 762. Is c prime?
False
Let c(v) = -v**2 + 10*v - 14. Let j be c(8). Suppose -j*n = -4*u - 8, 4*u + 1 = -3. Suppose -157 - 477 = -n*t. Is t prim