?
True
Suppose 0 = -4*p + b - 5*b, -3*p = -3*b - 12. Suppose -p*t + 5 = -3. Suppose 3*n - 2065 = -4*j, 0 = -0*n + t*n + 5*j - 2752. Is n prime?
True
Let n be (-41)/(-4)*914 + 31/(-62). Suppose 6*f - n - 19918 = 0. Is f a composite number?
True
Let s(t) = t**2 + t - 4*t**2 + 2 - 5 - 5*t + t**3. Let i be s(3). Is 5/i - (0 + (-2140)/3) prime?
False
Suppose -84 = -5*q - 4*w, 33*q + 68 = 37*q + 4*w. Is 8/(q/10) - -7458 composite?
True
Suppose -o = 3*o - 8. Let k = -302 + 302. Suppose 0 = f - k*f + y - 1012, 4042 = 4*f + o*y. Is f a prime number?
True
Let c = 11377 + -1078. Suppose -c = -164*s + 161*s. Is s prime?
True
Suppose 27*p + 16 = 35*p. Suppose 0 = -p*z - 3 + 239. Is z prime?
False
Let k(y) = 34*y - 27. Let s(a) = a**2 - 4*a - 2. Let u be s(2). Let o be k(u). Let t = o - -488. Is t a prime number?
True
Let k = -50 + 52. Suppose 10*u - k*s - 4662 = 7*u, -3*s = u - 1554. Suppose u = 6*t - 11220. Is t a prime number?
True
Let q = 260026 + 9447. Is q composite?
False
Let u(r) = r**3 - 44*r**2 + 687*r + 157. Is u(66) composite?
True
Let u = 8 - 6. Let o(t) = 2*t**2 - 5*t. Let h be o(3). Suppose -u*f - 5*c = -2394, -7*f + c = -h*f - 4744. Is f prime?
True
Suppose 3*f - 1731974 - 1167916 = 0. Suppose -19*v + f = 23*v. Is v prime?
False
Suppose 4*d - 4*u = 389828, -4*d + 155116 = -2*u - 234704. Is d a composite number?
False
Let s(d) = -21*d**3 - d**2 - 45*d - 531. Is s(-16) a composite number?
True
Let v be 14103/5 - (-7)/((-210)/(-12)). Let l = 95 + v. Let s = l + -395. Is s a composite number?
False
Let s = 339945 + -179726. Is s a prime number?
False
Is 5897145/(-600)*-65 + 6/(-16) a prime number?
True
Let w = 120099 + 11390. Is w a composite number?
False
Suppose 2704828 = 27*n - 765900 - 93299. Is n prime?
True
Let c(j) = -66*j**2 - 60*j**2 + 147*j**2 - 14*j - 25. Is c(6) a composite number?
False
Let q be (-26 - -28)*10/(0 + -1). Let r = 21 + q. Is 4 - (7 - r) - 3*-99 a prime number?
False
Suppose 3*u - 9 = -2*v - 3*v, v + 7 = -5*u. Is (-182574)/(-168) - u/8 composite?
False
Let y = 887 + -526. Let m = -135 + 139. Suppose 2*s + l = m*l + 136, -y = -5*s - 3*l. Is s a prime number?
True
Let b = 520164 - 335302. Is b a composite number?
True
Suppose 2*t = 4*p + 1330 + 3936, 10556 = 4*t - 2*p. Let x = -732 - t. Let d = -2400 - x. Is d a prime number?
False
Suppose 80*b = 4275164 + 3065076. Is b prime?
True
Suppose a - 211887 = -4*h, 302912 = 5*h + 3*a + 38062. Is h a prime number?
True
Let u(i) = i**3 + 11*i**2 - 10*i + 25. Let l be u(-12). Suppose -3*n - 2*v + 19 + l = 0, 4*v = 4*n. Is (2/n)/(14/3304) composite?
True
Let u(r) = 114683*r + 333. Is u(2) a prime number?
True
Let v(g) = 33*g + 8. Let t be v(0). Is -3 - 2224/(-8)*t composite?
False
Let n(w) = 9*w + 24. Let u(h) = -5*h - 11. Let k(i) = -3*n(i) - 5*u(i). Let x be k(-7). Is ((-767)/(-1) + x)*(-14)/(-8) a composite number?
True
Let y = 25 + -24. Let b be 647*(7 + (-3 - y)). Suppose -4*q + 7*q = b. Is q composite?
False
Let w = 108213 + -41767. Is w a composite number?
True
Let n(u) = u. Let q(p) = -p**2 - 4*p + 5. Let v(h) = -3*n(h) - q(h). Let k be v(-4). Suppose k*b + 7676 = 4*m + 3*b, 5*m - 9597 = 4*b. Is m a prime number?
False
Is (-88684)/10*((-475)/30)/19*3 composite?
False
Let x(b) = -2*b**3 - 13*b**2 - 10*b - 47. Let s be x(-7). Suppose 67*t = s*t - 1345. Is t a composite number?
False
Let c(k) = -209*k**3 + 11*k**2 + 34*k + 75. Is c(-5) a composite number?
True
Is (0 + 3)/((5552432/(-326614) - -6) + 11) prime?
True
Is (-6 + 5)*(615856 - -2)/(-6) prime?
True
Let a(b) be the third derivative of 317*b**5/30 + 13*b**4/24 - 2*b**3 - 32*b**2. Is a(1) a prime number?
False
Let v(s) = -7*s**2 + 58*s - 8. Let x be v(8). Is 1/((x/(-5392))/((-7)/2)) prime?
False
Suppose -5*j - 2092343 = -2*y, 4*y = -j - 411672 + 4596391. Is y a prime number?
True
Let w(f) = 2*f**2 - 9*f - 42. Let o be w(11). Suppose o*v = 91*v + 138630. Is v prime?
False
Suppose -50998022 = 246*a - 412*a. Is a composite?
True
Let s(w) = 13176*w**2 + 5*w - 5. Let r be s(1). Suppose -2*t = -0*t + 5*k - 7, 2*k = -2*t + 10. Suppose 4*p = 16, -t*p = -4*g - p + r. Is g prime?
True
Let m be ((-5565)/(-3))/1 + 8/(-2). Suppose 3*u - m = 7206. Is u a prime number?
True
Is (6 - 4) + 398312 + -11 composite?
False
Let a = 102692 - 48565. Is a a prime number?
False
Let x = 3329 + -5612. Let u = 2638 - 4262. Let j = u - x. Is j prime?
True
Suppose 7 - 16 = s + 3*q, 0 = 2*s + 2*q + 2. Is s + (-27340)/15*-3 composite?
False
Let o = 1848 + -619. Suppose 0 = -3*p - 5*m + o, 3*p = -2*m - m + 1233. Suppose -p = -8*z + 3179. Is z a composite number?
False
Let u(k) = 1575*k**3 + 4*k**2 - 17*k + 1. Let n(c) = -787*c**3 - 2*c**2 + 8*c - 1. Let z(f) = -7*n(f) - 3*u(f). Is z(1) composite?
True
Let y(b) = 91*b**3 - 52*b**2 + 56*b - 13. Is y(16) composite?
False
Suppose -3*p - 5*f = -90414, -p + 2*f = -2*p + 30139. Is p composite?
False
Let m = 91 - 88. Let f be 11/22*(2067 + m/(-3)). Let s = f + 366. Is s a prime number?
True
Suppose -9*d + 13*d = 14296. Let w = d - 664. Suppose -5*b = -5*l - w, 5*l = b + 3*b - 2323. Is b a composite number?
False
Let p = -2422 - -58013. Is p prime?
False
Let u be 12*((-2)/(-5))/(52/(-65)). Let s(t) = -461*t - 263. Is s(u) composite?
False
Let m(g) = 109*g - 3. Let u be m(1). Let n = u - 97. Let o(z) = 11*z**2 + 7*z - 31. Is o(n) prime?
False
Let p(b) = -b**3 - b**2 + b + 1299. Suppose -3*y = 3*w - 30, 2*w + 6 - 26 = -5*y. Let l(o) = o**2 - 10*o. Let v be l(w). Is p(v) a composite number?
True
Suppose -3*g = 5*k - 1570711, 11*g = 16*g + 40. Is k composite?
True
Let y(a) = a**3 - 23*a**2 - 7*a + 22. Let j be y(19). Let q = j + 5148. Is q composite?
False
Let v(w) = 7*w + 44. Let m be v(-10). Let o(t) = t**2 - 30*t - 2. Is o(m) a prime number?
False
Let c be (-15)/(-3) - (-14 - 40728). Let x = 4734 + c. Is x prime?
True
Is (10 - 336/36) + 344893/3 composite?
True
Suppose 21*q - 22*q + 425788 = 0. Suppose -6*z + 50*z = q. Is z a composite number?
False
Let i(k) = 2582*k**2 + 101*k - 439. Is i(8) a composite number?
False
Let d = -20240 + 13460. Let n = 13373 + d. Is n a prime number?
False
Let p(v) = 59*v - 5. Let h(x) = -117*x + 10. Let q(l) = -2*h(l) - 5*p(l). Suppose 12*s + 236 + 1072 = -97*s. Is q(s) prime?
False
Let w(p) = 5*p - 31. Let k be w(8). Let f(i) = -6*i + k*i**2 + 69 - 2*i**2 + 19*i**2 + 2*i**2. Is f(7) a prime number?
True
Let v = -112466 - -263002. Suppose -24*h + v = -72784. Is h a composite number?
True
Let v = -47 + 51. Suppose -v*j + 10963 - 87 = 0. Is j a composite number?
False
Let p(b) = 259270*b**3 - 2*b**2 - 47*b + 48. Is p(1) a composite number?
True
Is 14048781/(195/13 + -6) + 16/12 composite?
True
Suppose -5*x - 5 = z, -3*z + 5*x = -0*z - 5. Let o(g) = 168*g**2 + g + 3. Let a be o(-2). Suppose l - a = -z*l. Is l composite?
False
Suppose 5*g = q + 4840858, 2*g - 3*q - 2100455 + 164104 = 0. Is g a composite number?
True
Let h = -966 + 58. Suppose 21*f = 5*u + 26*f - 19220, 3*u = 2*f + 11547. Let m = u + h. Is m a composite number?
False
Suppose 5*j - 796 = j. Let i = j + -94. Suppose i = l + 34. Is l prime?
True
Let d(t) be the first derivative of -2*t**2 + 33*t - 10. Let l be d(7). Suppose 0*n + n = 0, 0 = 5*r + l*n - 530. Is r prime?
False
Let t = 139 + -139. Suppose t = x - 4*y + y - 7337, 2*x = 3*y + 14686. Is x composite?
False
Let i = 537 - 131. Suppose 0 = 18*m - 147 + 57. Suppose m*h - i = 3*h. Is h a prime number?
False
Is 11839932/8 + (-9)/18 composite?
False
Let f = -30612 + 48052. Suppose 13961 = 4*h + s, -5*h - s = 4*s - f. Is h a composite number?
False
Suppose -2*m - 3*g + 14 = 0, m + 3*g - 6 = 2*g. Suppose 0*t - t - 2*n = -557, -4*t + m*n + 2204 = 0. Is t a prime number?
False
Suppose -3*i + 16*z - 15*z + 1449836 = 0, -1933103 = -4*i + 3*z. Is i prime?
True
Suppose 6*d + 132 = -16*d. Suppose 4*k + 1270 = 9*k. Is (d - -9)*k/6 a prime number?
True
Suppose -9*h - 67147 + 188854 = 0. Let y = -7136 + h. Is y prime?
False
Let p = -7298 + 3639. Let q = p + 5248. Is q prime?
False
Let p(k) = 2*k**3 + 11*k**2 + 11*k + 29. Let b be p(-5). Is ((-20517)/(-9) - -1) + b/(-3) a composite number?
False
Let h(t) = -t**2 - t + 1. Let l(w) = -2*w**3 + 12*w**2 + 2*w + 13. Let y(g) = -3*h(g) + l(g). Let j be y(11). Let v = 83 - j. Is v prime?
False
Suppose -4 + 3 = k, -5*m - 27 = -3*k. Let c(a