/x). Let m = 363 - q. Is m prime?
True
Let d be 1*3*(-2 + -7). Let l = d - -30. Suppose l*q + 3*q - 1770 = 0. Is q a prime number?
False
Let q = 3509 + 1872. Is q composite?
False
Let h(z) = 222*z - 17. Let m be h(7). Suppose -m = -2*k + 561. Is k prime?
True
Let p be (318/2)/(9/(-42)). Let r = p - -489. Let o = -42 - r. Is o prime?
True
Suppose -4*w = 5*z - 24, 0 = z - 0*z - 4*w. Is (z - (481 + 2))/(-1) a composite number?
False
Let j(q) = 14*q**3 - 29*q**2 + 3*q + 14. Let g(p) = -5*p**3 + 10*p**2 - p - 5. Let d(x) = 17*g(x) + 6*j(x). Is d(-7) a composite number?
False
Is (8/(-20))/(-3 + 27163/9055) a composite number?
False
Suppose 0 = 9*y - 6*y - 6. Suppose 0*f - 3 = r - 3*f, -r + y*f - 3 = 0. Is (-12)/r - (-68)/4 prime?
False
Let n be (1/15 - 6/15)*-15. Is 3 - (n/(-30) - 10918/12) a prime number?
False
Suppose -5*r - 2305 = 36210. Let j = -5134 - r. Is j a prime number?
False
Let m be 47/2 + (5/(-10))/1. Suppose u + m = 150. Is u composite?
False
Is 12905/2*(-212)/(-530) prime?
False
Let r(u) = 30*u**2 + u + 1. Let x be r(-1). Is x/(-24) + 2/8 - -3660 a composite number?
False
Let l = -26 - -23. Let h be 36/(-4)*(-1)/l. Is (-1 - h)*467/2 composite?
False
Suppose 4*o = -5*y - 90 + 323, 181 = 4*y + 5*o. Suppose -8 = -4*w, 0 = -g + 5*g + 5*w - 234. Suppose -7*a + y = -g. Is a a composite number?
True
Let k(f) = -4*f - 8. Let i be k(-3). Suppose 0 = i*m - 5219 - 953. Is m a composite number?
False
Suppose 0 = -5*f - 4*x + 12, 3*f + 5*x - 5 = -3. Suppose -2*l - f*y + 295 = -751, 3*l - 5*y - 1602 = 0. Is l prime?
False
Suppose -x - 2*p = 2*p - 7, 5*x = -3*p + 18. Suppose 0*r - 5711 = -x*r + 5*m, 4*m = r - 1913. Is r a prime number?
False
Is -2 + (-1 - -5) - (-4 + -1663) a composite number?
False
Suppose y - p + 291 = -6*p, 2*p + 886 = -3*y. Let w = y + 487. Is w a composite number?
False
Is 4112 - 3 - (-5 + (0 - -3)) prime?
True
Let o(m) = -283*m**3 + 7*m**2 + 5. Let r(t) = -141*t**3 + 4*t**2 + 3. Let z(i) = -3*o(i) + 5*r(i). Let u(f) = f + 4. Let c be u(-3). Is z(c) a prime number?
False
Let z be 84/(-10) - (-6)/(-10). Is (5034/z)/(10/(-6) - -1) a composite number?
False
Suppose 3716 = o - m, -m + 3710 = 2*o - o. Suppose -7*r = -1334 - o. Is r prime?
False
Let a = 243 + -379. Let d = a + 563. Is d composite?
True
Suppose 0 = 3*p, 2*p + 19 = 3*m + 7. Suppose m*a = 6*a - 1346. Is a a prime number?
True
Suppose -4*i - 12 = 0, -3*t - 4*i = 2*t - 2828. Suppose -w = -393 - 440. Let p = w - t. Is p a prime number?
False
Let s = 5 - -3. Suppose -6*p - 298 = -s*p. Is p a composite number?
False
Let n = 1432 - -9871. Is n a prime number?
False
Let y(d) = 80*d**3 + d**2 - 2*d + 1. Suppose -5*c + 3 = -2*c. Let j be y(c). Let r = j + 297. Is r a prime number?
False
Suppose -3*q = -13*q + 33770. Is q a composite number?
True
Let y = -72 + 84. Suppose 20*g - y*g = 1592. Is g prime?
True
Suppose -10 = 4*u + 2*y, -4*y + 3*y = 3. Let k = 8 + u. Let w = k + 30. Is w composite?
False
Let s(x) = -2 + 0*x**2 + 3*x**2 + 0 - x - 5*x - 262*x**3. Let c(f) = -261*f**3 + 2*f**2 - 5*f - 2. Let a(w) = 4*c(w) - 3*s(w). Is a(-1) composite?
False
Let a(p) = 17*p - 7. Let k(h) be the second derivative of 17*h**3/6 - 7*h**2/2 + 5*h. Let g(j) = 4*a(j) - 5*k(j). Is g(-6) a composite number?
False
Suppose -4*i = 2*o - 30394, 2*i + 47018 = 5*o - 28931. Is o prime?
False
Let y(x) = -x - 2. Let f be y(-8). Suppose -f*n = -2*n + 228. Is (-4)/8*-4 - n prime?
True
Suppose -246*z = -258*z + 318204. Is z prime?
False
Suppose 2*n + 40 = v, -3*v = n - 5*v + 17. Is 10/(-35) + (-3429)/n a composite number?
False
Let j be (399/49)/3 + 2/7. Suppose -j*z - 8*z + 7469 = 0. Is z composite?
True
Let q = 3 - 1. Let c be (0 + 7/q)*118. Suppose -4*f + 279 = 3*m - 279, 3*f + 5*m = c. Is f composite?
True
Let x(b) = -b**3 - 4*b**2 - 2*b + 10. Let i = -20 + 14. Is x(i) prime?
False
Let t(x) = 32*x**3 - 2*x**2 + 2*x - 47. Is t(9) a composite number?
True
Suppose -4*j + m + 44 = -0*m, 0 = 3*j + 5*m - 33. Let z = j - 8. Suppose -2*b = -z*b + 335. Is b a composite number?
True
Let i(o) = -7*o + 4. Let t(a) = 15*a - 8. Let j(r) = -13*i(r) - 6*t(r). Let n be j(7). Suppose 0 = -n*c - 0*c + 114. Is c a composite number?
True
Suppose 5*w - 142306 = 20079. Is w a prime number?
False
Suppose -5*g = -4*m + 37, -5 = 3*g + m + 24. Let t be (-57)/g*(-18)/3. Let d = t - -73. Is d prime?
False
Is (0 + 55434/(-4))/((-69)/46) a prime number?
True
Suppose -6*c - 665 = -c. Let t = 262 + c. Suppose -2*z + 3*z - 2 = 0, -2*z - t = -m. Is m a composite number?
True
Let f be -9*(-20 + -4) - -1. Suppose f = 2*w + 55. Suppose -103 = -b + 2*t - 34, -t = b - w. Is b composite?
True
Suppose 0 = -5*x + 4*n - 8*n + 8991, -3602 = -2*x + 4*n. Is x prime?
False
Suppose 0 = -87*t + 77*t + 68830. Is t prime?
True
Let y be 4*5/(-10)*107. Let g = y - -419. Is g a prime number?
False
Let v = -5 + 10. Suppose -2*b = 0, v*b + 48 = -6*f + 3*f. Let h = 49 - f. Is h composite?
True
Is (-5)/((-5)/13564) - (-175)/35 prime?
False
Let v(t) = t**2 + t - 1. Let b(w) = 34*w**2 + 8*w + 9. Let r(i) = b(i) - 4*v(i). Is r(-6) a composite number?
False
Suppose 4*h = -20, k = 6*k + 3*h + 35. Is k/(4 + 9750/(-2435)) a composite number?
True
Let s(k) = -k**3 + 9*k**2 - 16*k + 6. Let v be s(5). Suppose -r = 2*a - 8, -v = 3*r - 0*a - 4*a. Is r/(-4) + 3988/8 composite?
False
Let m = -10 + 7. Let r = 9 + m. Is ((-3)/2)/(r/(-76)) composite?
False
Let z = 1 + 3. Suppose z*j - 3*d = -12, 16 = 4*j + 2*d + 2*d. Suppose j*n = -2*n + 134. Is n a composite number?
False
Let k(n) = 39*n + 46. Let a be ((-15)/(-25))/((-2)/(-10)) - -16. Is k(a) composite?
False
Suppose -2*c + 4*x - 203 = -c, -211 = c + 4*x. Let y = c + 418. Is y a composite number?
False
Suppose 0 = -4*m + 4, 0*m - 16 = -3*r - m. Suppose 2*k - 3*k - r = 0. Is (k/(-15))/(1/633) composite?
False
Let a(n) = 125*n**2 + 2*n + 1. Let d be a(-1). Let l(x) = 6*x**3 - 7*x**2 + 17*x - 5. Let p be l(6). Suppose -d - p = -5*h. Is h prime?
False
Suppose -5*q + 5*g - 11135 = 0, 6*g - 2231 = q + g. Let x = q - -3985. Is x a prime number?
True
Let z be (-22310)/(-20) + 1/2. Suppose -z = -4*h - 248. Let b = h + 102. Is b a composite number?
True
Suppose 0 = 3*s + n - 79676, -2*n + 79661 = 3*s - 4*n. Is s a prime number?
True
Suppose 0 = 5*g + 4*f - 2104, 4*f + 12 = -4. Let o(i) = 7897*i - 424. Let n(b) = -56*b + 3. Let d(q) = g*n(q) + 3*o(q). Is d(-1) composite?
False
Suppose 5*i + 32 = 9*i. Let h(k) = k + 8 - 4*k - i*k. Is h(-7) a prime number?
False
Let o = 2206 - 198. Let i = o - 37. Suppose -6*m + i = -33. Is m a prime number?
False
Suppose -5*a - 235 = -0*a + 5*m, 0 = -a - 3*m - 37. Let b = -73 + 67. Is b/8 - 4979/a a composite number?
True
Suppose -35417 = -9*k + 7*k - n, 4*k - 2*n - 70822 = 0. Is k a prime number?
True
Suppose 5*v - 141 = 3*y, 5*y = 8*v - 4*v - 105. Suppose 35*r - v*r = 1465. Is r a prime number?
True
Let k(m) = 12*m**2 - 8*m + 97. Is k(-13) composite?
True
Let r(o) = 64*o**3 + 2*o**2 - o. Suppose -16*c - 5 = -21*c. Is r(c) a prime number?
False
Suppose 2*y + 4*v = -0*y + 11794, -5*y + 29461 = -2*v. Is y prime?
False
Let a be ((-24)/(-28))/((-76)/28 + 3). Suppose -a*t - 6*t = -8631. Is t prime?
False
Let o = -6946 - -10169. Is o a prime number?
False
Let n be -3 + 0/(-4) + -24. Is n/(-9) + 812/2 a composite number?
False
Suppose -t = -5*v + 863, 0*t = t + 2*v + 856. Let p = t + 1571. Is p a composite number?
True
Let h(n) = 5*n + 9. Let o be h(-5). Let p = 17 + o. Is ((-1)/3)/p*-465 a composite number?
True
Let l(c) = -4*c**2 - 21*c - 19. Let z be l(-16). Is (z/(-2))/(0 - (-1)/2) a composite number?
True
Suppose -2*g - 424 + 5420 = 0. Is g a composite number?
True
Let s(d) = d + 438. Let j be s(0). Let r = -145 + j. Is r prime?
True
Let l(v) = 387*v - 56. Let p be l(-7). Let g = p + 5526. Is g a composite number?
True
Let y be 46/(-4) - (-3)/6. Let p(u) be the second derivative of -u**3 + u**2/2 + u. Is p(y) composite?
False
Suppose 12*t - 311689 - 52619 = 0. Is t a composite number?
True
Let u(p) = -p**3 + p**2 - 3*p - 2. Let m(j) = -j. Let r(a) = -6*m(a) + u(a). Let z be r(2). Suppose -5*y + 221 = -z*x + 4*x, -4*y = 2*x - 118. Is x composite?
True
Let n(q) = 40*q + 14953. Is n(0) a prime number?
False
Let c(w) = 2 + w**2 - 2*w + w - 2*w**2. Let u be c(0). Let a = 69 + u. Is a composite?
False
Suppos