 c = 532281 + -361360. Is c a prime number?
True
Let p(m) = -m**3 - 7*m**2 - 5*m - 100. Let k be p(-8). Is (-1059 + 5 + -5 + k)*-1 composite?
True
Suppose 0 = 4*m - 3*m - z - 192807, 2*m - 3*z - 385619 = 0. Is m a composite number?
True
Suppose 25*q - 20*q - 4*r = 1138589, -227724 = -q + 7*r. Is q prime?
False
Let u be (-1)/(-5) - ((-259)/5 - 6). Let a = u + -54. Let p(f) = 416*f - 9. Is p(a) composite?
True
Let x be -5 - (-21 - -21)/(1*-2). Is (351820/(-63))/x - 2/(-18) a prime number?
True
Let j = 6588 - -5423. Is j a prime number?
True
Suppose -2*v = -a, 0 = 3*v - v - 4*a + 6. Is (4 - 5)/(v/(-2521)) a composite number?
False
Is 201932 + -65 - 10*4/8 a composite number?
True
Let q(t) = -291*t - 10. Let o be (22/33)/((-57)/27 + 2). Let r be q(o). Suppose 0 = -p + a + 490, -3*a - 225 = -4*p + r. Is p prime?
True
Let o(i) be the first derivative of 49*i**2 - i + 4. Is o(1) composite?
False
Let b = 30 + -5. Let c be (-4)/(-10) + (-5)/b*-3. Is c/3 + 16536/18 a prime number?
True
Suppose -68*h + 25 = -73*h. Is h - (14/6)/((-12)/17208) a prime number?
False
Let b be (-3 + 3)*(-4)/(-8). Let d be (2 - b - -212) + (3 - 1). Suppose 5*m = -l - 93 + 650, -2*m + 3*l = -d. Is m a composite number?
True
Let s(d) = -33*d + 3. Let y be s(-1). Suppose -y - 15438 = -6*k. Is k a prime number?
True
Let n = 15 - 17. Let z be ((-1)/2)/(n/788). Suppose j = -2*s + 431, -3*j - 3*s - z = -1484. Is j composite?
True
Let b = -131 - -134. Suppose 5*i + 0*i - 25 = 0. Suppose -h + i*w - 10*w = -299, h + b*w - 307 = 0. Is h a composite number?
True
Let c be (-7838)/(-8) + 0 + 2/8. Suppose 3*n - 661 = 764. Suppose n + c = 3*p. Is p prime?
False
Suppose 214572 = -16*b + 73500. Is (-12 + 15)/(2 - (-17625)/b) prime?
True
Suppose -8*n + 156 = -5*n. Let u = n - 50. Let t(w) = 11*w**3 - w**2 + w - 1. Is t(u) a composite number?
True
Is (18681/9)/((-94)/(-282)) a prime number?
False
Let m(f) be the first derivative of -227*f**2 + 21*f - 119. Is m(-10) a composite number?
False
Let i(p) = 233*p**2 - 2*p + 12. Let o be i(-6). Let n = o - -3721. Is n a composite number?
True
Suppose 909*y = 901*y - 592530 + 2779994. Is y a prime number?
True
Suppose 4*h + 20 = 2*c, -4*c + 10 = 3*h - 8. Suppose -m - 2579 = -4*o - c*m, 1920 = 3*o - m. Is o composite?
False
Let z(r) = 2*r**3 - 5*r**2 + 4*r + 1. Let m be z(2). Suppose -3*i + 3621 = 3*j, -23*j - m*i - 2442 = -25*j. Is j prime?
False
Is (-368)/(-16) + -12 + 6948 composite?
False
Let y be (-1)/(1/(-3483)) + (-12 - -9). Let o = 6422 - y. Is o a composite number?
True
Let d(y) = -y**2 - 2*y. Let n(f) = -2*f**3 + 3*f**2 + 10*f + 1618. Let a(m) = 4*d(m) + n(m). Is a(0) prime?
False
Let t = 59 + -27. Suppose -3*z = -4*j - 62, -2*j - t = z - 3*z. Let u(r) = -r**3 - 14*r**2 - 17*r + 13. Is u(j) composite?
False
Let p(l) = -131 + 75 - 3116*l + 71. Is p(-2) a prime number?
True
Let j(w) = -124*w + 57. Let l be -2 - (-112)/(-20) - 20/50. Is j(l) a composite number?
False
Suppose -676453 = b - 24*b. Is b a prime number?
True
Suppose 232*s - 505*s + 15604953 = 0. Is s a composite number?
True
Let m(v) = -9*v**2 + 2*v + 2. Let q be m(-1). Is (q/(-36))/((-6)/(-116664)) composite?
False
Suppose 52*z = 13*z + 44754879. Is z a composite number?
False
Let f(u) = -u**3 + 13*u**2 + 2*u + 6. Let k be f(13). Let c = k + -27. Suppose -3*h - c*t + 7660 = 0, 4*h - 2*t - 2*t = 10160. Is h prime?
False
Let g be -20*(42683/(-20) - (-21)/(-35)). Suppose 4*t - 42680 = -4*h, 4*h - t = -0*t + g. Suppose -5*b = 3688 - h. Is b a prime number?
False
Suppose i = -117 + 306. Let p = 443 - i. Is p prime?
False
Suppose -3*a = -q + 47 + 269, 5*q - 3*a - 1640 = 0. Suppose 330*s = q*s - 2911. Is s a prime number?
False
Let t = -1041452 + 1523935. Is t composite?
False
Suppose -214*n = -215*n + 2. Let y be 1/1 + 531 + -2. Suppose 0*o - 5*o - y = -n*v, -5*o + 530 = 2*v. Is v a composite number?
True
Let d = -40691 - -59082. Is d composite?
True
Let u = -13226 - -22629. Suppose -2*d + 28642 = k, 2*k + 19239 = 2*d - u. Is d prime?
True
Suppose n + 2146 = 3*b - b, 3*b - 5*n - 3233 = 0. Suppose 6750 = 9*j - b. Is j prime?
False
Suppose q - 2*v = -3, 5*q - 4*v = 12 - 3. Let j = q - -1774. Is j a prime number?
False
Suppose 64 = 5*x - 31. Suppose -6*a + 2209 = x. Is a composite?
True
Let t(r) = -89*r - 1. Let h(u) = u. Let b(q) = 4*h(q) - t(q). Let k be -4 + (-6 + (-85)/(-15))*-18. Is b(k) prime?
False
Let n(x) = -x**3 - 7*x**2 + 13*x + 14. Let i be n(-8). Let a = i + 34. Suppose -a*p + 2871 = p. Is p a prime number?
False
Let i(u) = 26*u + 8615. Let q be i(0). Suppose 0 = 5*n - 2*z - q, -5*n + 6879 = -n + z. Is n composite?
False
Let r be 4*(-3)/(-6)*15/10. Suppose -4*o - r*g = -8884 + 2692, -3*g = -3*o + 4665. Suppose -o = -4*h + 389. Is h a composite number?
True
Suppose -5*u = -3*o - 8*u + 15, 0 = -u + 4. Is -3*o + 19778/31 composite?
True
Let m(k) = k**3 + 29*k**2 - 232*k - 9. Is m(-29) a composite number?
False
Suppose -3*x = u + 3*u, x - 10 = 2*u. Let v(j) = -19*j - 3 + 86*j - 1 + 1. Is v(x) a prime number?
False
Let f be 6/(-2)*5*541/1. Is (2 + (-42)/15)*f/6 composite?
True
Let a = -393 - -449. Is 288712/a - 4/7 a prime number?
False
Let o(l) = 361*l + 183. Let a be 35*(8 + 324/(-42)). Is o(a) prime?
True
Suppose -5*m - 10 = 0, -2*v + 5*v + 3*m + 6 = 0. Let s be v + (-4 + 4 + 0 - -3817). Suppose -2*r - 3*h + 958 = -r, 0 = 4*r - 3*h - s. Is r composite?
True
Let b(i) = i**2 - 12*i + 5. Let f be b(11). Let k be (-48)/(-15)*(-1 - f). Is ((-44)/k)/(1/(-116)) a prime number?
False
Let a(t) be the first derivative of -3*t**2/2 - 7*t - 77. Is a(-14) composite?
True
Suppose 2 = s, 3*d - 2 = -s + 12. Suppose 4*x = 3*y - 2049, y - d*y - x = -2049. Is y composite?
False
Let v(u) = 11630*u + 563. Is v(4) composite?
True
Let m = -301 - -305. Suppose m*c + 1881 = z, 3*z - 13*c = -10*c + 5598. Is z a composite number?
False
Suppose -2769760 = 33*b - 65*b. Let h = b - 55572. Is h composite?
False
Suppose 0 = 131*m - 1775959 - 587412. Is m a prime number?
True
Let j(t) = 4*t + 33. Let z = -65 - -80. Let k be j(z). Let v = k - -98. Is v a prime number?
True
Is 5 + -5 + 2 - (1 + 3 + -509583) prime?
True
Suppose -29*c + 3018401 + 97388 = 0. Is c prime?
True
Let m(p) = 11*p - 2. Let f be m(7). Is 4/(-3) + 87925/f a composite number?
False
Let z(a) = 22*a**2 + 31*a - 197. Let r be z(22). Suppose 5*x = t + 36370 - 8534, 0 = -2*x - t + r. Is x prime?
False
Let h be (-11 + -5 + 6)/(2/(-436)). Let u = -1303 + h. Is u a prime number?
True
Let s(o) = 5. Let t(i) = 267*i + 33. Let d(c) = -9*s(c) + t(c). Suppose 12 = -4*x, -3*h + x + 24 = -6. Is d(h) prime?
False
Let x(d) = 85*d**3 + 25*d**2 - 186*d - 1. Is x(10) a prime number?
True
Let y be (1/((-3)/(-43)))/((-7)/21). Let t = 336 + y. Is t composite?
False
Suppose 9*p + 6 = 24. Suppose -1414 = -2*w - p*f, 784 = -2*w - 3*f + 2198. Is w prime?
False
Suppose -51 - 369 = 14*h. Is 11670*1 + (h - -37) prime?
True
Suppose -9*t = 4*w - 4774929, -3*t - 6*w = -w - 1591632. Is t a prime number?
True
Let o(n) = 9998*n**2 - 99*n - 592. Is o(-9) composite?
False
Let y(z) = 187*z**3 + 9*z**2 - 42*z + 11. Is y(5) prime?
False
Let d(p) = -2*p**3 - 14*p**2 - 24*p + 11. Let v be d(-28). Suppose -v = -8*u + 9885. Is u prime?
True
Suppose 5*u - 9345 - 7575 = 0. Suppose 2*k = -4*d + u, 5*d - 3376 = d + 2*k. Suppose -4*n + 3606 = -2*y, 4*n + d = 3*y + 4452. Is n a composite number?
True
Let q = 3505 - 1302. Is q composite?
False
Suppose 581866 + 139308 = 34*z. Let g = -14408 + z. Is g a prime number?
True
Let n(h) = 2299*h**3 - 3*h**2 + 17*h - 34. Is n(3) a composite number?
True
Let c(a) = -3005*a**3 + 9*a**2 + 18*a + 11. Is c(-6) a prime number?
True
Is (-7996)/(-12)*3 + 9/(36/16) a prime number?
True
Suppose -2*k + 316468 = -2*q - 79416, 5*k - 989755 = -4*q. Is k a composite number?
False
Let l = 1435 - 4267. Let x = 5165 + l. Is x composite?
False
Suppose 4*v + 6 = 5*z, 4*v = 3*v + z - 2. Let u = -3 - v. Is (2/3)/((-1)/(-1194)) + u a composite number?
False
Suppose f = 2, 2*d + f = 7*d - 640493. Is d prime?
True
Suppose 567*w - 432 = 573*w. Is 9/w - (-10436)/32 composite?
True
Suppose 2*r + 20*m = 25*m + 6753, m = -4*r + 13561. Is r a prime number?
True
Let f = 6735 - -52456. Is f prime?
False
Let t = 3 + 9. Suppose -t*w + 4*w = -16. Is (11 + -14)/(w/(-226)) composite?
True
