t u(c) = -c**3 - 21*c**2 - c - 16. Let f(r) = r**2 + r - 1. Let t(z) = s*f(z) - u(z). Is t(-12) a composite number?
False
Let t be (-15 - -16) + (-2)/(-2). Suppose 5*i = -t*i + 14. Is -3*(3 - i)*(-3079)/3 a composite number?
False
Let x = -227933 + 328632. Is x prime?
True
Let r be (-16)/(-3) + 6/(-18). Suppose 0 = k + r*l - 4846, -5*k = -14*l + 11*l - 24314. Is k a composite number?
False
Let h(z) = -106019*z + 4882. Is h(-3) a prime number?
True
Let g be 3*(-2)/(-4)*-4. Is (30/(-20))/(g/10316) a composite number?
False
Let a = -2612 - -5757. Suppose a = 4*y + y. Is y prime?
False
Let v(h) = -h**3 + 25*h**2 - 5*h + 28. Let d be v(14). Suppose -5*k = -3*o - 5320, -2*k = -0*k - 4*o - d. Is k composite?
True
Suppose -18*l + 6*l = -938040. Suppose 0 = -3*k + 13*k - l. Is k a prime number?
True
Let t = 13662 + -4629. Is t composite?
True
Let c be (26/4)/((-2)/((-1092)/(-7))). Let x = c - -6048. Is x composite?
True
Suppose -5*r - 952*s + 949*s + 922030 = 0, 15 = -3*s. Is r a prime number?
True
Let s(r) = -13 - 7*r**2 + 11*r**2 - 2*r**2 - r**2 + 4*r. Let v be s(-6). Is (v - -158)*(-2)/(-4)*2 composite?
False
Let w(m) = m. Let q be w(0). Let j(z) = 3*z**3 + 1733 + q*z**3 + z**2 - 4*z**3 - 2*z. Is j(0) prime?
True
Let n(h) = 1737*h - 1. Let v(q) = 336*q + 39*q + 204*q. Let l(d) = -4*n(d) + 11*v(d). Is l(-1) prime?
False
Let j(b) = b - 12. Let s be j(14). Suppose p + 5*v = 37273, p - s*v - 3*v = 37253. Is p prime?
False
Is ((-23311676)/129)/((2/35)/((-21)/70)) prime?
False
Suppose 8*x = 4*x + 16, x = p. Suppose -k = -3*z - 1, -p*k - 3*z + 25 + 9 = 0. Suppose k*a - 1495 = 934. Is a composite?
False
Suppose 2*x - 428521 = -3*r, 365*x - 369*x = -2*r + 285686. Is r prime?
True
Suppose -15*a + 216 = -17*a. Let q = a - -108. Suppose 2*k - 3*v - 6397 = 0, q*k + 2*k + 5*v - 6421 = 0. Is k prime?
True
Suppose 0 = 22*f - 23*f. Suppose 4*u = -0*u + 5*t + 38303, -u - 3*t + 9580 = f. Suppose u = 5*b - 3*n, 2*n - 5*n - 5751 = -3*b. Is b prime?
True
Suppose 2*r - 11*r + 5*r = 0. Suppose -12*k - 14548 + 80560 = r. Is k a composite number?
False
Suppose 0 = -4*t - 2307 + 38003 + 11972. Is t prime?
False
Let s(v) = 11*v**3 - 18*v**2 + 4*v + 25. Let i(p) = 5*p**3 - 9*p**2 + 2*p + 12. Let d(u) = -13*i(u) + 6*s(u). Let f = -5907 - -5899. Is d(f) composite?
True
Suppose 0 = h - 5*a - 18, -2*a = -2*h - 3*a + 80. Let l = 40 - h. Suppose -l*i + 3245 = -3461. Is i composite?
True
Let m(s) = 297*s**2 + 82*s + 220. Is m(-3) a prime number?
True
Is 450 + -1 - (5/40*0)/1 composite?
False
Let j be (84/10)/(1194/(-240) + 5). Suppose -b - 4*b = 3*v + 512, -j = 2*v - 2*b. Let n = v - -238. Is n composite?
True
Suppose -5*y - 703421 - 562708 = -4*d, 0 = -2*y + 14. Is d composite?
True
Suppose -5*f + 7 - 2 = -4*j, -j - 15 = -4*f. Is 11347/(2 - 5/j) a prime number?
False
Let i(r) = 2*r**2 + 15*r - 11. Let v be i(-16). Let a(k) = k**2 - 265 + k**3 + v - 8*k**2 - k. Is a(9) composite?
False
Let u be 784/30 - (-8)/(-60). Let j(z) = u - 9 - 17 + 3*z**2 - 11 - 14*z. Is j(-18) a composite number?
False
Let o be (2 + (-6327)/6)*2. Let p = o + 467. Let l = p + 2307. Is l prime?
False
Is (1/4)/((-31630140)/31630160 - -1) composite?
False
Let s(j) = 149*j**2 - 304*j - 33. Is s(16) prime?
True
Suppose -5*n = -w - 2*w + 272306, -n = -4*w + 363069. Is w a composite number?
True
Let y = 198 + -194. Suppose 3 = 3*u, 29902 = 9*x - y*x - 3*u. Is x composite?
False
Let u = 57315 - 19708. Is u a prime number?
True
Is ((-25)/75)/(1/(-66678)) a prime number?
False
Suppose 3180 = -9*q - 7386. Is q/(-8)*((-8)/2 - -48) prime?
False
Let m(w) = -427*w - 153. Let d be m(29). Is (d/(-32))/((-4)/(-176)) a composite number?
True
Let j be (3442 - (-3 + 7))/2. Suppose -8*v + 913 + j = 0. Is v a composite number?
True
Let i(l) be the third derivative of 1/12*l**5 + 3/2*l**3 + 0*l + 10*l**2 - 19/24*l**4 + 0. Is i(10) a prime number?
False
Let m(s) = -21*s + 215755. Is m(0) a composite number?
True
Let n(r) = 37*r**2 - 6*r - 4. Suppose -5*d + 3*t = -t - 68, -4*d + 54 = -3*t. Suppose -5*o + d = -o. Is n(o) a prime number?
True
Let u be (128/96)/((-2)/(-42426)). Suppose -d + u = 11*d. Is d a prime number?
True
Let g(f) = -f**3 + f**2 + 2*f - 3. Let j(a) = 2*a**3 - a**2 - 3*a + 6. Let r(m) = 5*g(m) + 3*j(m). Let o be r(0). Is o/4 + 532/16 prime?
False
Let j(c) = -15*c - 16. Let d be j(-2). Suppose d*p = 9*p + 15. Is ((-1)/(-3))/(p/(-9))*-1987 a composite number?
False
Suppose -14*z - 128010 - 68907 = -35*z. Is z composite?
False
Suppose 5*v = 5*q - 1293389 + 117339, 0 = -4*v + 4. Is q a composite number?
False
Let j = -367 - -389988. Is j a prime number?
True
Let c = -3 - 0. Let f(d) = 16*d**3 - 3*d**2 + 9*d - 1. Let a(u) = -16*u**3 + 4*u**2 - 10*u + 1. Let s(k) = -6*a(k) - 7*f(k). Is s(c) composite?
True
Suppose -4*r = -96 + 88, 0 = -5*z + 4*r + 52037. Is z composite?
True
Let k(s) = s**3 - 15*s**2 + 13*s + 32. Let u be k(14). Suppose -3 + u = 3*x. Suppose 5*m = -j + 1114 + 141, -3*m + x*j = -753. Is m composite?
False
Let i = -88087 + 210738. Is i a composite number?
False
Let v be (74/(-3))/(2/123). Let l(z) = -z**2 - 23*z + 106. Let s be l(-27). Is v/(-4) - (-2)/16*s prime?
True
Let a(z) = -9*z + 43*z**3 + 51*z**3 + 44*z**3 - 149*z**3 - z**2 - 13. Is a(-10) a composite number?
True
Let y be 16/10 + -2 - 9469952/320. Is y/(-6 - (-9 + 5)) composite?
False
Let r be 107/7 - -1 - 14/49. Suppose -h + 4 = r. Is 24/(-9) + 3 - 32/h prime?
True
Let m = 572999 - 387108. Is m a composite number?
True
Let r(d) = -2114*d - 254. Let k be r(-4). Suppose -k = -3*y + 29757. Is y prime?
True
Suppose 8*a - 4*a = 0, a = z - 75028 - 45303. Is z a prime number?
True
Suppose -z + 38626 + 10601 = -13436. Is z a prime number?
False
Let d = -205038 + 777244. Is d composite?
True
Suppose 5*d = -4*u + 27662 + 19241, -3*d + 28139 = u. Is d prime?
False
Let b be 2/3 - (-17086125)/(-207). Let c = -57870 - b. Is c a composite number?
False
Let g(h) be the second derivative of 16*h**3/3 - 14*h**2 + 2*h. Let d be g(6). Suppose 0 = q - 573 + d. Is q prime?
True
Suppose 0 = d - 3*v - 70925, -45460 - 309151 = -5*d + v. Is d a prime number?
False
Let t = 1544 + -755. Is (t + 1)*(-54)/(-108) a composite number?
True
Suppose 3*q - 115007 - 64818 = -31166. Is q prime?
False
Suppose -n = -5*o + 287438, 2*o + 247*n - 114980 = 249*n. Is o composite?
False
Suppose 0*c + 2*c + 4*u = 12, 5*u + 15 = 5*c. Suppose -3064 = -4*v + r, -v + c*r + 775 = 6*r. Is v a prime number?
False
Let a(n) = 27*n**2 - 58*n + 817. Is a(30) a prime number?
False
Let g(z) = -11*z + 25*z**2 + 17*z**2 + 4*z**3 - 7 - 3*z**3 - 34*z**2. Let k be g(-9). Suppose -39256 = -k*w + 3*w. Is w a composite number?
True
Let l be 10/(-30) + (-104)/(-6) - 2. Suppose l = 7*k + 1. Suppose -6*d + 1588 = -k*d. Is d a composite number?
False
Let c(y) = 20*y + 64. Let h(q) = -7*q - 22. Let o(t) = 4*c(t) + 11*h(t). Let r(a) = -20*a. Let i be r(-1). Is o(i) a composite number?
True
Let x(o) = 2*o**2 + 4*o + 8. Let n be x(-3). Let q(f) = f - 11. Let r be q(n). Suppose -1193 = -r*d - 155. Is d a composite number?
True
Let r = -572 + 550. Is (1 + 6407 - 2)*(-33)/r prime?
False
Let x = 225401 - 126102. Is x a composite number?
True
Let f(x) = x**3 + 20*x**2 - 23*x - 17. Let k be f(-21). Let z = 50 - k. Suppose -32*p + z*p = -22547. Is p a composite number?
False
Let z(v) = -17470*v - 2748. Is z(-7) composite?
True
Suppose -6 = -4*r + r. Is (r/6)/(-3*(-9)/72009) a composite number?
True
Let z(s) = 30585*s**2 - 15*s + 3. Let d be z(4). Suppose 46*p = d + 1251751. Is p a composite number?
True
Let k = 94 - 82. Let g be (-2)/(-4) - (-18)/k - -3745. Suppose g = -31*d + 34*d. Is d composite?
False
Suppose 231*i - 2358179 - 28614994 = 0. Is i a composite number?
True
Let a be (3280/(-60))/((-4)/6402). Suppose 6*p = -21320 + a. Is p a composite number?
True
Suppose 2*i - 108308 - 387794 = -0*i. Is i composite?
False
Suppose 45*b - 3*o + 33 = 42*b, b = 4*o - 8. Is (5 - 58 - 5)*66/b a composite number?
True
Let u = 87062 + 276219. Is u a prime number?
False
Let l = 166668 + 121274. Is l prime?
False
Is 66/(-44)*809717*(-12)/18 a prime number?
False
Let o be 7/2 - (-9)/(-6). Let i(m) = 879*m**2 + 6*m - 23. Let j(p) = 439*p**2 + 4*p - 13. Let t(h) = 6*i(h) - 11*j(h). Is t(o) a composite number?
True
Let z be -4 + 348/90 - 411/