 p(u) = u**3 - 12*u**2 - 16*u - 1. Let h be p(14). Suppose 5*v = z - 63, -h = -4*z + z + 4*v. Suppose -2*n + z = -301. Is n a composite number?
True
Suppose 164*n - 166*n + 3*w + 30046 = 0, 0 = -n + 4*w + 15033. Is n composite?
False
Let p(k) = -5*k - 2. Let a(y) = 9*y + 4. Let o(i) = -4*a(i) - 7*p(i). Let h be o(-1). Is h + 1 - (-3 - 251) composite?
True
Suppose 0 = -8*i + 2*i + 54. Is (-12234)/(-18) + (-6)/i prime?
False
Suppose -4*f = -f - 750. Suppose -5*n - f = -2*v - 2*v, -323 = -5*v + n. Suppose -1200 - v = -5*s. Is s a composite number?
True
Let o be (-44)/6*(-18)/24*2. Let m(l) = -l**3 + 12*l**2 - 8. Is m(o) a prime number?
True
Suppose -1 = -3*p + 7*l - 3*l, 21 = -p - 4*l. Is (974/p)/(3/30*-4) a composite number?
False
Suppose 58656 = 4*v + 4*o, -6*v + 3*v + 2*o + 43967 = 0. Is v a composite number?
True
Suppose 0 = 3*u + u - 16. Suppose 6*y - 8 = u*y. Suppose -y*c + 77 = -431. Is c composite?
False
Is ((-7114)/4)/((-4)/8) a composite number?
False
Suppose 236*r - 212*r = 117336. Is r composite?
False
Is 0 + (6 - -11730 - 10/2) composite?
False
Let m(t) = -4*t**3 - 13*t - 4. Let r(l) = -7*l**3 - l**2 - 27*l - 9. Let b(s) = -7*m(s) + 3*r(s). Is b(5) prime?
False
Let a = 12420 + 3499. Is a composite?
False
Let b(p) = -172*p + 5. Let g be b(3). Let i = g + 1013. Is i a prime number?
False
Suppose f - 4*b + 20 = 0, 3*b - 15 = -2*f - f. Suppose -3*v + 261 + 93 = f. Is v a prime number?
False
Suppose 7*c - 11547 = 31020. Is c a composite number?
True
Let j = -40 + 39. Is j/(2/2074*-1) a prime number?
False
Let f be 1*((-2)/1 + 2). Suppose f = 17*t - 24*t + 1561. Is t prime?
True
Let b(n) = -5*n**3 - 2*n**2 - 4*n - 3. Let j be b(-1). Is 13494/34 + j/34 a composite number?
False
Let b(q) = -4*q**3 - 4*q**2 - q - 3810. Let j(m) = 7*m**3 + 7*m**2 + m + 7620. Let l(z) = 5*b(z) + 3*j(z). Let x be l(0). Is x/18 - 2/3 a composite number?
False
Suppose -4*x - x = p - 14, -5*p + 1 = 2*x. Let c(u) = -43*u**3 - u**2 - 4*u - 2. Let y be c(p). Let l = 141 - y. Is l prime?
True
Let p(s) = -392*s**3 + s**2 + s - 1. Is p(-3) composite?
False
Let d(a) = a - 6. Let m(k) = -k + 5. Let x(i) = -5*d(i) - 4*m(i). Let y be x(8). Suppose -y*q = -6*q + 852. Is q a composite number?
True
Let x(g) = -226*g - 3. Let f(k) = 225*k + 2. Let u(n) = -5*f(n) - 4*x(n). Is u(-1) prime?
True
Suppose 272*s = 264*s + 97432. Is s prime?
False
Suppose -2*l + l - 3681 = -j, l = -4*j + 14699. Suppose 9*q - 5*q - j = 0. Is q a prime number?
True
Let m be 68/3 - (-5)/15. Let c = m + -47. Let u = 29 - c. Is u a prime number?
True
Suppose 5*r + 275136 = 3*s - s, 4 = -2*r. Is s a composite number?
True
Let w(g) = 13*g**2 + 4 - 1 + 3*g**3 - 10*g - 4*g**3 + 2*g**2. Is w(11) a prime number?
False
Let u = -11974 - -20295. Is u a prime number?
False
Suppose 858 = -2*u + 5*h + 2832, -5*h + 4865 = 5*u. Is u prime?
True
Suppose 276262 = 13*d + d. Is d prime?
False
Let r(x) = 4*x - 1. Let z be r(1). Suppose z*y = 2*q + 109, -18 = -2*y - 3*q + 59. Is y composite?
False
Let m = 570 + -46. Suppose -o = -m - 294. Suppose 0 = -5*f + 1047 + o. Is f composite?
False
Let d be (8/(-24))/(2/24). Let f be 10*3/(-24)*d. Suppose -f*n - 1057 = -2*y, 1045 = 4*y - 2*y - n. Is y a composite number?
False
Let t = 515 + -183. Suppose 0 = n + 119 - t. Let f = -124 + n. Is f a composite number?
False
Let z be (6/(-4))/(1/(-2)). Suppose -j + z = -2*y + 9, -3*j = -2*y + 14. Is 2/(3*j/(-222)) a composite number?
False
Let t(b) = -423*b - 35. Is t(-6) a composite number?
False
Is -1 + (5300/3)/(3/9) prime?
False
Let f be 56/(-12)*(-9)/(-6). Is (0 - -55) + (-28)/f a prime number?
True
Is (2/(-3))/((-318)/49306059) composite?
True
Let x = -9902 - -15283. Is x composite?
False
Let j = -15 - -17. Let i(s) = 0 + s**2 + 2 + 5*s**j - s. Is i(1) prime?
True
Suppose -2*b = b - 3, 5*g = 2*b + 162293. Is g a prime number?
False
Suppose -f = -67*p + 70*p - 15594, -4*p - f + 20791 = 0. Is p composite?
False
Suppose -100*d + 96*d + 37628 = 0. Is d a composite number?
True
Let u be 1/3 + (-258)/18. Is 11/((-539)/(-3297)) - (-4)/u prime?
True
Suppose 4*z + 0*l = -5*l, 0 = -z + l. Suppose -m + 4*p = -35, z*p = 4*m - 5*p - 162. Is m composite?
False
Let q = -43 - -138. Suppose 2*h + q = 549. Let a = 36 + h. Is a a composite number?
False
Let i = 494 - 1087. Let d be 400*(-5)/6 + (-2)/3. Let h = d - i. Is h composite?
True
Suppose 5458*u + 35382 = 5464*u. Is u prime?
True
Let t(k) = -22*k**3 + 3*k**2 + 13. Let p be t(4). Is (-4)/(-2)*p/(-6) a composite number?
False
Suppose -39 = 3*c + 3*h, 10*c + 25 = 5*c + 5*h. Let a be (-137)/(-9) - (-2)/c. Let w = a - 8. Is w a composite number?
False
Let l = 1210 + 107. Is l a composite number?
True
Let r be -53 - -4*(-9)/12. Let g be r/16 + 2/(-4). Is 6/g*(-330)/9 prime?
False
Let a = 278 - -1013. Is a composite?
False
Let n be (-2)/5 - 34/(-10). Suppose -n*g + 190 = -g. Is (-3)/(15/g)*-5 a prime number?
False
Suppose -5*n = 2*f + 27, -f = 2*n - 3*n + 10. Is 1/(-2)*(-623 + f) prime?
True
Is 7/4 - 646646/(-56) composite?
False
Let m(y) = -66*y - 4. Let t be m(1). Is (t + -3)*(0 - 7) a composite number?
True
Let k be 2/6 + (-22)/(-6). Suppose -a - 5 = f, -k*f - 3 = 3*a + 12. Suppose 0 = 5*w - f*w - 125. Is w a prime number?
False
Let g be ((-16)/1)/(1/(-58)). Suppose -394*y + 390*y + 48 = 0. Is (-1)/3 + g/y prime?
False
Let q(o) = o**3 + 11*o**2 + 22*o - 14. Let i be q(-8). Suppose -2734 - 1576 = -i*a. Is a a composite number?
True
Suppose 0 = -3*r - 9, -5*j - 24 + 9 = -5*r. Let x(o) = -121*o - 29. Is x(j) prime?
False
Let t(d) = 22*d**2 + d - 42. Is t(-11) prime?
True
Let a be 6600/(-4 + -7) - -10. Let b(n) = -n**3 + 3*n**2 + n - 7. Let z be b(6). Let g = z - a. Is g a prime number?
False
Let f(k) = -5*k - 3*k + k - 24*k - 24. Let w(j) = -94*j - 71. Let m(y) = 11*f(y) - 4*w(y). Is m(15) a prime number?
False
Let t(j) be the first derivative of 2*j**5/5 - j**4/6 + j**3/3 - j**2 - 5*j - 4. Let r(f) be the first derivative of t(f). Is r(2) a composite number?
True
Let z be 6*(-1)/6*-2. Suppose -5*t + 30279 = 4*k - 17064, 0 = 4*t + 2*k - 37878. Is t/15 - z/5 composite?
False
Let x(k) = -32*k**3 + 8*k**2 + k - 32. Is x(-9) a prime number?
False
Let g = -55095 - -109114. Is g a composite number?
True
Let o(w) = 75*w - 54. Let k be o(26). Suppose 0 = -10*l + k + 154. Is l composite?
True
Let n(m) = 7*m**2 + m - 15. Is n(14) composite?
True
Suppose 52*v = 13*v + 608907. Is v a composite number?
True
Let o(b) = 5*b**3 - b**2. Let j be o(-1). Let s be -16*24/(-3 - j). Let q = s + 202. Is q a prime number?
False
Let x(o) = o**2 - 5*o + 5. Let d be x(5). Suppose -8 = s + 4*k, 0*s - 5*k = -d*s - 15. Let v(f) = 3*f**2 - f + 1. Is v(s) a prime number?
True
Suppose 0 = 5*t - 4*f - 9 - 6, -t = -5*f - 3. Suppose 233 + 444 = 4*w - 5*z, 3*w - t*z - 504 = 0. Is w a composite number?
False
Is (-6)/48*-4 - 197268/(-8) composite?
False
Suppose -12 = -0*v + 3*v. Let b be (477/v)/((-3)/(-8)). Let g = -67 - b. Is g a prime number?
True
Let j = 9 + 8. Let z = -13 + j. Suppose 6*l - z*l = 426. Is l a prime number?
False
Suppose 3 = -3*w + 6*w - f, -w - 9 = 3*f. Suppose 3661 = -w*x + 7*x. Is x a composite number?
False
Suppose 10*r = -o + 7*r + 11606, o + 5*r = 11612. Is o prime?
True
Let i(t) = 94*t**3 - 8*t**2 + 14*t + 7. Is i(4) a composite number?
True
Let q be -4 + 2*(-6)/(-4). Let a = -3 - q. Is a/(-14) - (-10980)/70 composite?
False
Let y = -16828 - -47609. Is y composite?
False
Suppose -2099 = -d - 5*h + 509, -5*h - 7924 = -3*d. Is d prime?
True
Let w(i) = -i**3 - i**2 - i - 349. Let u be w(0). Let v = -56 - u. Is v a composite number?
False
Suppose -4*f + 2435 = f. Let o = -745 + f. Let g = 577 + o. Is g a composite number?
True
Is (-8 - -7701) + (-5 - -9) a prime number?
False
Let q(j) = 8*j - 13*j + 7*j + 2062. Is q(0) a prime number?
False
Let u be 20/8*4/10. Let y be (u - 3)/((-2)/2804). Is 3/(12/y) - 2 a prime number?
False
Suppose 4*u = 2*y, 7 = -u + 2*y + 1. Suppose -u*g - 2*g = -3*h + 593, -3*g - 397 = -2*h. Is h composite?
False
Let t = 347 + -247. Let v be t/(-30)*3/(-2). Suppose 257 = d + m - 105, -d - v*m = -374. Is d a composite number?
False
Suppose -3*l + l + 2988 = -2*d, 5*l - d - 7490 = 0. Is l composite?
False
Let d = -13145 + 25102. Is d a composite number?
True
Let y(c) = 157*c. Let a be y(2). Supp