10*p + 34655. Let c = 12554 + p. Is c prime?
True
Let j(v) = 2676*v**2 + 1 - 2372*v**2 + 2*v - 2*v. Is j(-2) a prime number?
True
Let x(g) = 36*g**2 + 151*g + 2966. Is x(123) prime?
True
Let d(m) = -16 - 25*m + 14*m**2 + 18 - 7*m**2 + 13*m**2 - 46. Is d(21) composite?
True
Suppose 1171585 = -269*r + 274*r. Is r a composite number?
False
Suppose 35*z = 40*z - 118805. Let k = z - 12730. Is k composite?
True
Let f = 1182063 - 772834. Is f a composite number?
True
Let v(m) be the third derivative of m**6/360 + m**5/24 + 77*m**4/24 - 5*m**3/3 + 3*m**2 + 7*m. Let g(d) be the first derivative of v(d). Is g(-12) prime?
False
Let h(s) = -7*s + 19*s + 2334 + 937. Is h(0) a prime number?
True
Is 4*(-15)/10 + 1710384/6 a composite number?
True
Suppose 0 = -266*n + 196*n + 2797270. Is n prime?
False
Let g(d) = 229*d**3 + 14*d**2 + 33*d + 12. Let y(i) = 114*i**3 + 7*i**2 + 16*i + 7. Let j(x) = -3*g(x) + 5*y(x). Is j(-4) a prime number?
True
Let l be 2*(-75)/(-50)*10/6. Suppose -l*b + 9*b + 4209 = j, -3*b - 6 = 0. Is j composite?
False
Let b = 67 - 60. Suppose -3*z - b = -0*w + 4*w, -z + 23 = -5*w. Let j(r) = 88*r**2 + 12*r - 7. Is j(z) a composite number?
False
Suppose 480744 = 3*u - 5*c, 111*c - 641009 = -4*u + 112*c. Is u composite?
False
Suppose 6*j + 747 = 3*j. Let r = 114 + -56. Let b = r - j. Is b composite?
False
Let c(f) = 3*f**3 - 28*f**2 + 2*f + 19. Let y(i) = 2*i**3 - 28*i**2 + 2*i + 20. Let p(t) = 3*c(t) - 4*y(t). Is p(-24) composite?
True
Let t(x) be the first derivative of -11*x**5/30 - 13*x**4/24 - 8*x**3 + 7. Let r(m) be the third derivative of t(m). Is r(-7) a composite number?
True
Let b = 30 + -24. Let h = 4 - b. Let r(v) = 96*v**2 + v - 1. Is r(h) a composite number?
True
Suppose -46*m - 1411773 = -79*m. Is m prime?
False
Suppose -7*s = 395 + 207. Is ((6249/2)/3)/(s/(-1204)) a composite number?
True
Let f(g) = -4*g**3 - 3*g**2 - 38*g + 20. Let c be f(-11). Let u = c + -1600. Is u composite?
True
Let y be (-2 + (-7)/(-2))*(-42)/9. Is 12/(4 + y) + 9746 composite?
True
Let m(p) = 1349*p**3 - 21*p**2 + 82*p + 99. Is m(6) a prime number?
False
Suppose -28*s = -3*o - 29*s + 857844, -5*s = -5*o + 1429760. Is o prime?
True
Suppose -214*k = -132*k - 4837754. Is k prime?
True
Suppose 7*d = 27 + 15. Suppose 0 = -21*x + 22*x - d. Suppose x*f - 3*f - 5394 = 5*c, 4*f + 4*c - 7160 = 0. Is f composite?
True
Is (29706*22/16)/((-408)/(-544)) a prime number?
False
Suppose 2*c = -22 - 6. Is (1 - 0) + (-3024)/c composite?
True
Let g(j) = -246*j**2 + 3*j + 24. Suppose 3*c - l - 25 = 0, 14*l - 12*l = -4*c + 20. Let h be g(c). Let b = 18238 + h. Is b composite?
False
Suppose -7*h + 18320 = -2*h. Suppose 3816 = -2*u + f, -3768 = 3*u - f + 1955. Let y = h + u. Is y composite?
True
Let m(t) = 4224*t**2 + 16*t - 3. Is m(8) a composite number?
False
Let j be ((-35)/(-10))/(-7)*-2 + -1. Suppose 26293 = 5*s - 3*y, j*s - 2*s + 5*y = -10502. Is s composite?
False
Let t = 11187 - 5333. Is t a composite number?
True
Suppose -m - 3 = -4*m + 4*s, 0 = -m - 4*s + 17. Suppose -5*d + 26440 = -0*w - m*w, d + 5*w - 5282 = 0. Is d prime?
False
Suppose -270571 - 2080162 = -7*m. Is m a composite number?
True
Let t be (2541 + 9)/(-15)*8/(-1). Is (-1 - t)*((-6)/3 + 1) prime?
True
Suppose -7*q + 2*q - 4*f = -1392731, 5*q + f = 1392719. Is q a composite number?
False
Let a(p) = -2*p - 27 + 13 + 10. Let r be a(-14). Suppose -19*q + r*q - 4605 = 0. Is q prime?
False
Let k(t) = 6*t - 2*t - 28*t - 16*t + 47. Is k(-12) prime?
False
Let s = 169 - 96. Suppose 2518 = -71*z + s*z. Is z a prime number?
True
Suppose -5*o - 4*x - 184677 = -578766, 4*x = 4. Is o composite?
True
Suppose x + 14 = 8*m - 3*m, -3*x = -3. Suppose -5*s = m*o - 958, -2*s - 4*o = -3*o - 383. Suppose -t - 2*k = -s, -4*t + 759 - 10 = 3*k. Is t prime?
False
Let j(p) = -p**2 + 12*p - 20. Let i be j(10). Let m(b) = i + 10*b - 26 + 33*b + 14*b. Is m(19) composite?
True
Let m be (-110)/(-16) - 6/(-48). Is 1266/9*(10 - m) a composite number?
True
Let i = -18 - -20. Suppose 3 = d + i*f, -d + 2*f = -0*d - 19. Suppose d*q - 776 = 7*q. Is q composite?
True
Let i(k) = -1202*k - 16. Let v be ((-1)/(-2))/(14/(-168)). Let w be i(v). Let p = w - 3703. Is p a prime number?
False
Let h = -359 + 364. Let q be 5/2*4/(-2). Is (q - -4) + 687 + h a prime number?
True
Let r(a) = 1. Let i(v) = v - 1. Let u(q) = i(q) - 6*r(q). Let t be u(14). Suppose -t*z + 77 = -6*z. Is z prime?
False
Suppose -302*k - 69084768 = -398*k. Is k a prime number?
True
Suppose 5*d + g = 1339383, -d + 332583 - 64714 = 4*g. Is d composite?
False
Let y = -3097 + 8714. Suppose -13*d - 18864 = -y. Let f = -334 - d. Is f a composite number?
True
Is (-4 + -122575)*(9 + 46)/(-11) composite?
True
Let h be (5 + 5 + -9)*3811. Suppose 2*n = 2475 + h. Is n prime?
False
Suppose -5*x = 2*v - 2697, 3*v - 3*x = -v + 5433. Let z be (-3)/(-21) - v/(-14). Suppose 0 = -z*f + 99*f - 4406. Is f prime?
True
Is -2*4049881/44*-2 prime?
True
Let y(p) = 4997*p - 63. Let f be y(15). Suppose f = 9*s + 3*s. Is s a prime number?
False
Let x = 11517 - 7870. Is x a prime number?
False
Let f(x) = -33*x**3 - 7*x**2 + 32*x + 349. Is f(-11) composite?
True
Let s = -968 + 4016. Let c = 2575 + s. Is c prime?
True
Let a(b) = 13*b**2 - 3*b + 23. Let z(h) = 7*h**2 - 2*h + 11. Let t(s) = 6*a(s) - 11*z(s). Is t(-13) composite?
True
Let t = 116 + -109. Let r(s) = 119*s - 46. Is r(t) a prime number?
True
Let r(p) = -60*p**2 + 1. Let k be r(2). Let b(c) = 5*c**2 + c + 2. Let t be b(2). Let w = t - k. Is w a composite number?
False
Suppose 3*j + k = 299125, 2*j - 59546 - 139872 = -k. Is j a composite number?
False
Suppose -2*b - 4*f + 3 = 13, 3*b = f + 20. Suppose -a = -5*v + 3*a + 10373, -10370 = -b*v + 5*a. Is v prime?
False
Let t(q) = 2*q**2 - 2*q - 19. Let p be t(-10). Suppose 0 = 2*h - 4*i - 224, i + i + 478 = 4*h. Let r = p - h. Is r composite?
False
Let l(y) be the third derivative of 3*y**5/20 + 2*y**4/3 - 7*y**3 + y**2 + 23*y. Is l(10) a composite number?
True
Let d = -30 - -33. Let w be (d - 7) + 50/5. Suppose z = -w*z + 1309. Is z a prime number?
False
Let u = 237752 + -137419. Is u a composite number?
False
Let i(z) = 479*z**2 - 32*z + 138. Is i(5) a prime number?
True
Let g(n) = 17*n - 228. Let o be g(14). Is (48305/o)/((-2)/(-4)) prime?
True
Let y(o) = o**2 + 29*o + 139. Let i be y(-25). Suppose 6*k = 3*k + d + 16, 0 = -4*k + 2*d + 18. Let m = i + k. Is m a prime number?
False
Let y(m) = -134*m**3 - 2*m**2 - 5*m + 5. Let x be y(-3). Suppose -22*l = -18*l - x. Is l prime?
False
Suppose -3*n + 3*b + 9 = 0, n - 2*b - 22 = -3*n. Suppose -n*x - 2503 = -6383. Is x a prime number?
False
Let o be 3 + 21/(-7) - (1 + -3). Suppose -6*u + 9176 = -o*u. Suppose 3*h = 2*y + u, -5*h = 3*y + 2*y - 3840. Is h prime?
False
Is (46197/(-522))/((-2)/((-10364)/(-3))) a prime number?
False
Suppose 0 = 2*s - 3*d - 117155, -3*s + 76758 + 98908 = 5*d. Is s a composite number?
False
Suppose 91 = 25*u - 34. Suppose 3802 = -4*r + u*r. Is r a composite number?
True
Suppose -3*n = 3*k - 2*n - 13, 5*n = -5*k + 35. Suppose 0 = -l - k*b + 2605, 3*b + 12940 = 5*l + b. Suppose 5*a = -365 + l. Is a prime?
False
Let k(r) = 149*r**3 + 12*r - 32. Let t be k(3). Suppose 0 = -3*h + t + 596. Is h prime?
False
Suppose -2*j = -4*t - 18, 3 = -t - 0*t. Let k be j*((-28)/6 + 4). Is (-1)/(5660/(-2828) - k) prime?
False
Suppose -7*u + 9*u + 16 = 0. Is ((-4083)/(-2))/((-12)/u) a prime number?
True
Is (-30)/2340*-12 + (-441413)/(-13) a prime number?
False
Suppose 162898 = 4*z - 5*p, 3*z - 2*p - 81448 = z. Is ((-30)/(-35))/3 - z/(-14) prime?
True
Let s(z) = -14*z - 323 - 186 + 104. Is s(-30) a prime number?
False
Let q be (-53)/(2/(-65 + -1)). Let c = 6158 - q. Is c composite?
False
Suppose -2*h - 91111 = 5*o - 470958, -3*o + 2*h = -227889. Is o a composite number?
False
Suppose 287*b - 27295 = 282*b. Suppose 5458 = 2*j + 4*p, 3*p - b = -6*j + 4*j. Is j a prime number?
True
Let s(y) = 7*y**2 - 26*y - 6. Let r(t) = 14*t**2 - 51*t - 13. Let w(p) = 3*r(p) - 5*s(p). Is w(-20) a composite number?
False
Suppose -7*y = -9 - 96. Let c = y + -19. Is (c - -3)*(-3 - -2) - -210 prime?
True
Let p = 320178 - 147875. Is p prime?
False
Is (-5)/(15/(-2)) + 310454/6 composite?
True
Suppose 0 = 5*q - 2*b - 102160, q + 6332 = 3*b + 26751. Suppose 7*m = 24037 + q. Is m composi