 Is k composite?
False
Let w(j) = -j**3 + 18*j**2 + 2*j - 36. Let m be w(18). Suppose m = -3*i + 15, 4*u - 12627 = 8*i - 3*i. Is u prime?
True
Let c(k) = k**3 - 7*k**2 - 15*k - 18. Let y be c(9). Suppose -1717 = -r + t, -y*r - 8617 = -14*r - 3*t. Is r a prime number?
True
Is 65/((-1625)/(-1392075)) + (-3*1 - -1) composite?
False
Suppose 5*j - 2*h = 247403, -86659 = -4*j - 2*h + 111285. Is j a composite number?
True
Let y(q) = 4589*q**2 - 104*q + 113. Is y(6) a prime number?
False
Let t(f) = f**2 - 10*f - 8. Let y be t(11). Let u be 2*(4 - 7)*(-2)/y. Suppose x = 4*w + 1679, 2*x - u*w - 1807 - 1559 = 0. Is x a prime number?
False
Suppose 5*a + 299 = 14389. Is (a/4)/((-7)/(-98)) a prime number?
False
Let x be (-16)/(-20) + (-16612)/(-10). Let l = -1183 + x. Suppose 34*a = 35*a - l. Is a a composite number?
False
Let v = -302 + 254. Let o = 50 - -153. Let z = v + o. Is z a prime number?
False
Let b(l) = 1098*l + 220. Let t(n) = 548*n + 111. Let j(i) = 2*b(i) - 5*t(i). Is j(-3) prime?
False
Suppose 1926*y = 1936*y - 10660. Let j(p) = -117*p + 5. Let w be j(-6). Let l = y - w. Is l composite?
False
Let k(d) = -208*d - 15. Let s = -450 - -427. Is k(s) a composite number?
True
Let v(w) = -4*w**3 - 7*w - 6. Let j be v(-1). Suppose 11*g - j*g = 6906. Is g prime?
True
Let c(l) = 11*l**3 - l**2 + 3*l - 14. Let g be c(12). Suppose -i - i + g = 0. Is (i/(-28) + -3)/(1/(-4)) a prime number?
True
Is 986029296/2912 + 4/104 a prime number?
True
Let j be (3 - 1/(-1))*5/10. Is 138974/18 + j/9 prime?
False
Suppose 0 = 115*r - 123*r. Suppose -z + 476 + 4811 = r. Is z a prime number?
False
Suppose 4*w = -8*w - 2*w + 517454. Is w composite?
True
Let s(v) = -5919*v**3 - 11*v**2 - 13*v + 32. Is s(-3) a prime number?
False
Let y(x) = 4*x**2 + 8*x - 5 + 7 - 4*x**2 + 8*x**2 + x**3. Let w be y(-7). Is w*4/(-20) - -82 a prime number?
True
Let o = 1747 - 2485. Let b = o + 4377. Is b composite?
True
Suppose 4486 = j - r - 3778, 4*j - 33049 = -3*r. Is j prime?
True
Suppose 19*f - 46722 - 512315 = 0. Is f a composite number?
False
Let p = -17 - -19. Suppose 6345 = 3*y + p*j, -5*y - 4*j + 10568 = -3*j. Suppose 0 = -2*b - 4*l + 1422, 5*b + 2*l - y = 2*b. Is b a prime number?
True
Suppose -496 - 7997 = 3*t. Let j = t + 3982. Is j prime?
True
Let i = -664 - -3780. Suppose 3*v + 707 = -5*k + i, 0 = -v + 4*k + 786. Suppose 2*o = w - v + 291, 0 = -5*w - 5*o + 2610. Is w composite?
True
Let k(c) = 245*c**2 + 89*c - 153. Is k(25) prime?
False
Let h be 15/(-6)*(-8)/10. Suppose 5195 = h*b + 545. Suppose 5*j - 1593 - b = -2*p, -5*p = 3*j - 9833. Is p prime?
False
Let w(j) = j**3 - 34*j**2 - 37*j + 575. Is w(39) prime?
True
Is 968217/21 + 32/(-168)*3 a prime number?
False
Let l(w) = 29*w**2 - 14*w - 101. Is l(-14) prime?
True
Let n = 61074 + 18497. Is n a prime number?
False
Let j(n) be the third derivative of n**4/12 + 10*n**3/3 + 33*n**2. Let g be j(-10). Suppose 2*z - 2342 = -g*z. Is z prime?
True
Let q be 24312/96 + 2/(-8). Suppose -3*k - 834 = -p + q, 0 = -3*p + 2*k + 3233. Suppose 0*j - p = -5*j. Is j a prime number?
False
Let j = -250 - -255. Suppose -3*h = j*d - 5528 - 1981, -3*d = h - 2503. Is h a composite number?
False
Let s(j) be the third derivative of -77*j**4/12 - j**3/6 + 4*j**2 + 3. Suppose -4*y - 8 = -0. Is s(y) a composite number?
False
Let a be 2 + -6 + 11 + 1. Let p be 0 + (-1 - 2) - (-1 - a). Is p/8*(-126)/27*-122 composite?
True
Let t(p) = 846*p**2 + 28*p - 3. Let m be t(-3). Let b = -4600 + m. Is b prime?
True
Let o = -75074 + 172063. Is o a composite number?
False
Suppose h - 9013 = 5*m, m + 24 = -3*m. Is h prime?
False
Let r be 5/(165/(-534)) - (-4)/22. Let i = 36 + r. Suppose -i*b = -15*b - 13265. Is b prime?
False
Suppose 5*m + 47 = -28. Let v be 3*2/m*-5. Is (v/(-6))/((-1)/1461) a composite number?
False
Let p(i) = 3483*i**2 + 555*i + 137. Is p(-13) a prime number?
True
Let k(g) = -2*g + 21. Let i(y) = -6*y - 32. Let t = -45 + 41. Let l be i(t). Is k(l) composite?
False
Let c(x) = -1511*x - 10243. Is c(-30) a composite number?
True
Let q(b) = 36*b**2 - 72*b + 92. Let j(w) = 9*w**2 - 18*w + 23. Let c(m) = 9*j(m) - 2*q(m). Suppose -10*h = 81 + 39. Is c(h) a prime number?
False
Suppose -160*s + 20 = -150*s. Is ((-24205)/(-10) - s) + 3/(-2) a prime number?
True
Let p(m) = 218*m**2 + 16*m + 451. Is p(28) prime?
True
Let q = 272644 + -37371. Is q prime?
True
Let r = 367989 + -165092. Is r composite?
True
Is (3 - 331736)*(40 + -41) a prime number?
False
Suppose -10*b - 19 + 39 = 0. Suppose 3*a = 5*k - 32285, -k + 3603 = -b*a - 2854. Is k composite?
True
Let j(f) = -f**3 + 5*f**2 - 4*f - 1. Let u be j(3). Suppose -2*b + 24008 = -2*g, 2*g - 31417 = -u*b + 28624. Is b composite?
False
Let g(u) = 130*u**3 + 5*u**2 + 24*u - 184. Is g(7) prime?
True
Let b(k) = -k. Let c(m) = 4*m**3 + 6*m**2 + 5*m - 1. Let d(j) = 6*b(j) + c(j). Is d(10) a prime number?
False
Let m = 1044 + -610. Let a = 309 + m. Is a a composite number?
False
Let a(n) = -370*n - 6. Let d(y) = y**3 - y - 2. Suppose 6*o = 5*o. Let k be d(o). Is a(k) prime?
False
Let u = 175172 + -45535. Is u a prime number?
False
Let l = 759620 - 314746. Is l a composite number?
True
Let s be (4631/(-33))/((-1)/(-27)). Let f be (-3)/(21/2)*(2 + s). Let m = -700 + f. Is m prime?
False
Let c(a) = 1292*a**2 + 991*a - 16. Is c(-23) prime?
True
Let x(o) = 3247*o**3 - 2*o**2 + o + 1. Is x(1) a prime number?
False
Suppose 0 = 4*i - 28 + 4. Suppose 0 = i*s - 3*s. Suppose s = 3*j + z + z - 3781, -j + 1249 = -5*z. Is j composite?
False
Let q(a) = 2*a**2 - 48*a + 203. Let m be q(6). Let i(l) = 126*l - 7. Let s(k) = -k - 1. Let o(v) = -i(v) - 4*s(v). Is o(m) composite?
False
Let r(q) = -18*q + 3. Let z be r(1). Let x be -2 - (6/2 + z/3). Suppose -4*h + 5692 = -0*h + 3*o, x = 5*o. Is h a composite number?
False
Let x(m) = -2*m**2 - 27*m - 31. Let g be x(-12). Suppose -g*u - 23113 = -155688. Is u a composite number?
True
Is 6/(-60) + (-7388145 - -3)*(-4)/80 a prime number?
True
Is (-8 - (-42)/18*(-6 - -9)) + 15564 a composite number?
True
Suppose -160362 = -3*c - 56*c. Suppose -z - o + 1362 = -2*o, 4*o - c = -2*z. Is z a prime number?
True
Let s = -13 + 19. Suppose -3*u + s = -c - 1, -2*u + 2 = 2*c. Is (-6 - 1)/(c/2*2) composite?
False
Let v(l) be the second derivative of -l**5/20 + l**4/4 - l**3/2 + l**2 + 34*l. Let w be v(5). Is 1/(14/(-4)) + (-62577)/w prime?
False
Suppose t - 51 = 464. Suppose 7*j + t = 9566. Is j prime?
False
Suppose -2*s + 253 + 230 = -5*a, -3*s + 662 = 5*a. Let d = 610 - s. Is d prime?
False
Suppose 2*m - d = -0*d + 640, -3*d - 1282 = -4*m. Let f = m - -330. Is f composite?
True
Let d = -242 + 250. Suppose 424979 = 23*x + d*x. Is x a composite number?
False
Suppose -2*o + 22848 = 2*a, 2*a = 4*o - 58446 + 12780. Is o a prime number?
False
Let m be 248/(-310)*10/1. Is (((-23768)/1)/m)/(-2 - -3) a composite number?
False
Let u(f) = -f**3 - 10*f**2 - 4*f + 33961. Is u(0) a prime number?
True
Is (254642/(-2))/(-1 + -3 + -2 - -5) prime?
True
Let m(i) = 3*i**2 - i - 4679. Let z be m(0). Let r = z + 8668. Is r composite?
False
Suppose 12*a - 17*a - 90 = 5*j, -5*j - 84 = -a. Is 2/8*(j + 86869) composite?
False
Let o = 14698 - -48051. Is o a prime number?
False
Suppose -3 = 3*v - 6. Let z be (28 - 26) + v*2*1. Suppose -2*l = -z*l + 3*x + 2449, -5*l - x = -6080. Is l a composite number?
False
Let b(s) be the first derivative of 12*s**2 - 15*s**2 - 1 + 47*s**3 + 6 - 4*s. Is b(-3) a composite number?
False
Let v be 1638/16 + 30/(-80). Is (37893/v)/((-1)/(-2)) prime?
True
Let m(v) = 3*v - 39. Let u be m(26). Suppose -w - u = -14*w. Suppose -w*r + 50 = -43. Is r a composite number?
False
Suppose -8*s = -112 + 16. Suppose -3*g + 14 = 4*w, -4*g = g + w - s. Suppose -g*m = m - 7377. Is m a composite number?
False
Let d be (-5512)/6*((-12)/8)/1. Let a = d + -787. Is a a composite number?
True
Let f = 175819 + -86778. Is f prime?
True
Let r = 74 - 71. Suppose 0 = 2*g - 2, g = 3*t + r*g + 142. Let l = t + 131. Is l a composite number?
False
Is 36 + -37 - ((-20)/8)/(-5)*-208564 a prime number?
True
Is (-12053954)/(-38) - 3702/11723 a prime number?
True
Suppose 152*m - 6577890 - 2947798 = 0. Is m a prime number?
False
Suppose -265 = -x + 3*m, 8*x + 1060 = 12*x + 2*m. Suppose -4185 = -5*k - d - x, 4*k = 5*d + 3165. Is k a composite numb