(r) a prime number?
True
Suppose 10*b = -8 - 2. Let h be 2 + -1 + 631 + b + 4. Suppose -5*z + h = 3*m, 4*z = -m + 635 - 127. Is z prime?
True
Let b(y) = -398*y + 27. Let s(c) = -c**3 + 13*c**2 + 15*c - 21. Let i be s(14). Is b(i) a composite number?
True
Let m(h) = 47*h**2 + 8*h + 69. Let s be m(-18). Suppose g - 605 - 3202 = 4*c, 4*g - c = s. Is g a composite number?
True
Is (580/(-3))/(24/(-31140)) - -3 composite?
False
Suppose 24*o + a = 27*o - 949901, -2*a = 4. Is o a composite number?
False
Suppose 1344*p = 1341*p + 282603. Is p prime?
True
Let b = 14928 + -28096. Let t = 22361 + b. Is t prime?
False
Let x be (11/3 + -3)/((-2)/(-15)). Suppose -x*m - 2*c - 11 = 0, 5*m - 4*c + 9*c + 20 = 0. Is (-2708)/(-6) - (-6)/(-17 + m) prime?
False
Let t = 58355 + -17082. Is t composite?
True
Let s(j) = 8*j**2 - 12*j - 1. Let k be 5/20 - (-1 - 219/(-12)). Is s(k) a composite number?
True
Is ((-14373)/27)/((-2)/894) a composite number?
True
Let t(v) = -12*v**3 - 34*v**2 + 2*v - 9. Let s(a) = -4*a**3 - 11*a**2 + a - 3. Let f(z) = 7*s(z) - 2*t(z). Let c = -38 - -31. Is f(c) composite?
False
Let w = 120077 + 21786. Is w a composite number?
False
Let c(b) = 103*b**2 + 19*b + 15. Let d(s) = s**2 + 1. Let j(i) = c(i) - 3*d(i). Let m(x) be the first derivative of j(x). Is m(6) a prime number?
False
Suppose r - 26 = -75. Let b be (-3 - (-11)/3) + r/(-21). Suppose y + 43 = 4*w - b*w, 5*w + 5*y = 245. Is w prime?
False
Let m(s) = -s**3 - 9*s**2 - 23*s - 6. Let v be m(-5). Suppose v*h - 27624 = -3*h. Suppose 34*g = 36*g - h. Is g a prime number?
True
Is (178889484/(-342))/(8/(-12)) composite?
False
Suppose 2*u = a + u - 72792, -2*a - 5*u = -145612. Suppose a = 4*m + 12944. Is m a prime number?
False
Suppose 0 = 6*m + 343 + 191. Let o be ((-48)/(-10))/(-4)*4*45. Let g = m - o. Is g a prime number?
True
Let g(f) be the second derivative of f**3/3 - 33*f**2/2 + 45*f. Let x be g(15). Let k(a) = -130*a + 21. Is k(x) a composite number?
True
Suppose 1 = -f + 3. Suppose 0 = -u + f*u - 4835. Suppose -25*g - u = -30*g. Is g prime?
True
Suppose 453*p - 457*p + 66916 = 0. Is p prime?
True
Let k(o) = o**3 + 2*o**2 + 4*o + 29. Let c be k(-5). Let i = 617 + c. Is i prime?
False
Let j(d) = d**3 + 9*d**2 + 9*d + 10. Let o be j(-8). Suppose 1420 = -o*k + 7*k. Suppose k = 3*h - 757. Is h prime?
True
Let v(q) = 141*q**2 + 7*q + 180. Is v(-14) a composite number?
True
Let u = 38423 - 5084. Is u prime?
False
Suppose 0 = i + 4*s + 4, -4*i - 49*s + 47*s = -12. Is 8/(-20) + 20172*i/20 composite?
True
Let v(y) = 78*y**2 - 128*y - 5249. Is v(-39) a composite number?
True
Let w be (-12)/(-9)*(-21)/(-4). Suppose -4*u + 4129 = -w*n + 12*n, -3*u = -4*n + 3328. Is n a composite number?
False
Let m(a) = a + 11. Let c be m(-7). Suppose c*g - 5053 = 3*p, -2*g - 6290 = -7*g - 5*p. Is g prime?
False
Suppose 139*y - 297 = 142*y. Let i = 99 + y. Is 1138 + i/6 + (-3)/(-3) a composite number?
True
Suppose 66672 = 3*t - 2*a, -a = -2*t - 2*a + 44455. Is t a prime number?
False
Let j(y) = -5*y**2 + 12510. Let i be j(0). Suppose -4*f - f = 5*c - i, -3*f + 2492 = c. Is c prime?
False
Let x be 1097/(-7) + (36/(-28) - -1). Let l = x + 203. Is l prime?
False
Suppose 101690 = 2*b - 104274. Suppose 5*g = 104003 + b. Is g prime?
False
Suppose 143*a - 1765586 - 7083397 = 0. Is a composite?
True
Let k = 94672 + -63703. Suppose -8*m + 4*s = -7*m - k, m - 3*s = 30973. Is m a prime number?
False
Suppose 0 = -5*m - 3*f + 119949 + 278390, -f - 2 = 0. Is m a composite number?
False
Suppose 183120199 = 555*v - 132248006. Is v a composite number?
False
Suppose 80695 + 130337 = 27*n. Suppose 45*a - 85801 = -n. Is a composite?
False
Let y = -305016 - -438199. Is y a prime number?
True
Let i(x) = 1582*x**2 + 26*x - 87. Is i(8) composite?
True
Suppose 3*b - 2*i + 3 + 1 = 0, -i = -5*b + 5. Suppose 0 = b*k + 24 - 28. Suppose 2*z = k, -c + 1260 = 4*c - 5*z. Is c prime?
False
Suppose 124*k - 5066915 = 28*k + 6023869. Is k a prime number?
False
Let p(o) = -335*o - 9. Let m(y) = -1. Suppose -35 = -3*v - 17. Let q(t) = v*m(t) - p(t). Is q(2) a composite number?
False
Let w be (-1 + (4 - 4))/(5/60). Is (-3)/((w/(-401))/(-4)) a prime number?
True
Suppose 33*q = 29*q + 4796. Let w = 337 - -797. Suppose -s + q = -w. Is s prime?
True
Let d(x) = 55*x**2 - 4*x + 10. Let a be -4 + 1 - (-10 - -3 - 4). Suppose z - 4 = -2*m - z, -m = -5*z - a. Is d(m) prime?
False
Suppose 2*m - 7 = 5*h, 9*h = 5*m + 11*h - 3. Is m/(-6)*-6 - -3988 a composite number?
False
Let x = -85 - -166. Let w be 89604/x + (-6)/27. Let u = w - 243. Is u a composite number?
False
Let q = -194417 + 350508. Is q prime?
False
Let m(p) = p - 64. Let b be m(24). Is 5524/10*(-100)/b prime?
True
Suppose -15*p = -9403012 - 10725983. Is p prime?
False
Suppose 0 = 5*j - 5*n - 51515, 4*j - 2*j - 20610 = n. Suppose -5*a + 51493 = -8*k + 4*k, a + 2*k - j = 0. Is a prime?
True
Let a(d) = 2*d**3 - 76*d**2 + 8*d - 303. Is a(41) a composite number?
False
Suppose -67*o = 24955851 - 87218348. Is o a composite number?
True
Let p = 181868 + -126667. Is p composite?
False
Let y = -37293 - -86816. Is y composite?
False
Let f(a) = -11506*a + 1723. Is f(-5) composite?
True
Let p = -46 - -46. Suppose -2*t + 746 = 5*z, p*z - 308 = -2*z + 4*t. Suppose -2 = 2*j, 0 = 2*q - 3*j - 667 + z. Is q a prime number?
True
Let v = -16500 + 68119. Is v a composite number?
True
Let t(n) = -908*n + 329. Is t(-13) a prime number?
False
Let j = -134 + 138. Suppose 0 = 4*o - 5*c - 6083, 0 = j*o + 6*c - 8*c - 6074. Is o a prime number?
False
Suppose 3*h - 4*w = 167389, 2*h = 5*h + 2*w - 167401. Is h a prime number?
True
Suppose 155*j - 157*j = 0. Suppose j = -68*g + 64*g + 4172. Is g a prime number?
False
Let a be -24*(2 - (1 - -2)). Let r be (-1)/(-3 + a/9). Let j(t) = 20*t**3 - 3*t + 2. Is j(r) a composite number?
True
Suppose -6*d = -10*d - 72. Let l(k) = k**2 + 10*k + 57. Is l(d) a prime number?
False
Suppose -9*q + 41091 = -2775. Let x = -1477 + q. Is x a prime number?
False
Suppose 0 = 4*a, -w + 3*a = -2*a - 5499. Suppose 3*l + 3*g - 1689 = w, -4*l = g - 9575. Is l a prime number?
True
Suppose 2*c = 6, -6*c = -4*f - 4*c + 5982. Suppose -10*u + 7*u = -f. Is u composite?
False
Let v(n) = -n**3 + 15*n**2 + 18*n - 28. Let h be v(16). Suppose 4*p = -3*j + 287, 0*p - 286 = -h*p - 2*j. Is p a composite number?
False
Let v = 167 + -168. Is (-25993)/(-3) + v + 45/27 a prime number?
False
Suppose 3*f - 6 = 0, 2*f = -3*j + 2*j + 235047. Is j a prime number?
True
Suppose -11860 = -4*h - 4*s, -h + 0*h - 5*s + 2965 = 0. Let z = h + 421. Is z a composite number?
True
Let h(x) = 6*x**3 + 36*x**2 + 74*x - 27. Is h(19) a prime number?
True
Suppose -4*s - 14801 = -q, -s + 3*s - 5*q + 7405 = 0. Let d = -891 - s. Is d prime?
False
Suppose 152 = -2*b + 202. Suppose 0 = b*s - 24*s - 331. Is s prime?
True
Let h be -2 + (10/4)/((-1)/(-2)). Suppose 4*d = -4*f - f - 70, 0 = -h*f - 4*d - 50. Let b(g) = g**3 + 14*g**2 - g - 1. Is b(f) prime?
True
Suppose -4*i + 329 - 317 = 0. Let u(l) = 88*l**2 + 14*l - 35. Is u(i) a prime number?
False
Let n(a) = -7*a + 4. Let y be n(0). Is 9/((-72)/(-7430))*y prime?
False
Suppose -2*z - 16 = -5*z - i, -3*i = 2*z - 13. Suppose 3*m - 7*t = -2*t + 19172, -z*m + t = -31946. Is m a composite number?
False
Let m = -330333 + 578446. Is m a prime number?
False
Suppose 2*g - 17 = 3*n, 166*n - 171*n - 39 = 2*g. Let y(i) = -184*i + 43. Let h(w) = 46*w - 11. Let k(r) = -9*h(r) - 2*y(r). Is k(n) a composite number?
True
Suppose -3*j + 24286 = -3*k - 31724, -2*k = -4*j + 37348. Let v = 43239 + k. Is v a composite number?
True
Let s(f) = f**2 + 1. Let z be s(-2). Suppose 5*u + v = 7301, 8*v - 4*v = -z*u + 7289. Is 4/(-3) - u/(-9) composite?
True
Let j = -2 + 8. Suppose 11*n = 6*n + 2*q + 4531, j = 3*q. Is n composite?
False
Is 36/(-63) - 8431455/(-105) a composite number?
True
Let o(v) = 1949 + 0*v - v**2 - v**3 + 6631 + v + v. Let u be o(0). Let j = u + -6067. Is j prime?
False
Let r = 35137 - -29568. Is r a composite number?
True
Let h = -4529 + 10440. Suppose h + 354 = 7*p. Is (-6)/8 - p/(-4) composite?
False
Let f(p) = 139*p**2 + 6*p + 13. Let v be f(-4). Let a = 5032 - v. Is a a prime number?
True
Let i(c) = -21*c**2 - 167*c + 11. Let y be i(-8). Let g(a) = -a**3 - a**2 - a + 2. Let d be g(0). Suppose d*h = y*v + 34