ppose 3*s = -w - 460, -3*w - 2*s - 698 = 689. Let z = 2984 + w. Is z prime?
True
Is 142147/3 - ((-30)/(-90) + 1) composite?
False
Let j(w) = -w**3 - 8*w**2 + 10*w + 7. Suppose 3*a + 42 = -3*t, -4*t - 11 = -4*a - a. Let n be j(t). Is 1473 + -1*(n - 2) a prime number?
False
Suppose -5*j + 3*p = -3907846, j + 96*p - 781574 = 95*p. Is j prime?
False
Let g(c) = 513*c**3 + 16*c**2 - 27*c + 9. Is g(5) a prime number?
True
Suppose 9123*w = 9075*w + 63575856. Is w a composite number?
True
Suppose 3*n - 4*n = 0. Suppose 5*w = n, -w - 118 = 3*m - 2335. Is m composite?
False
Is ((0 - -4) + (5 - 9))/2 - -782929 composite?
True
Let f(l) be the first derivative of 389*l**2/2 - 2*l + 6. Let x be f(3). Suppose 0 = -10*h + 5*h + x. Is h composite?
False
Suppose 0*z + z - 4 = 0. Suppose -z*l - 501 + 3769 = 0. Let i = -140 + l. Is i prime?
True
Let c = 966 - -668. Suppose -62611 - c = -3*l. Is l a prime number?
False
Let l = -573 - -8881. Suppose -l = -3*q - q. Is q composite?
True
Suppose z - 285 = 5*d, 7*z - 10*z - 41 = d. Is -1*(-1)/2*(d - -778) a prime number?
False
Let b(z) = -z - 7. Let r be b(-9). Suppose 3*h = 4*s + 50, 0 = -r*h + h - 3*s - 5. Is 2974/h - (-12)/40*2 composite?
True
Suppose -2*w - 4*b + 6 = 0, -w + 4*b + 16 = -17. Let p = -2411 + 4426. Suppose 18*h - p = w*h. Is h composite?
True
Suppose -a + 29 = -5*f, 3*a + 2*f = -2*f - 8. Suppose -3*j = 5*o - 2765, -4*j + 5*o = -5*j + 915. Suppose r - j = -a*r. Is r composite?
True
Let b = 2741 + -724. Let i = 3674 - b. Is i prime?
True
Let s(t) = -13 + 25 - t + 3*t - 4*t**2. Let b be s(10). Let a = b + 559. Is a prime?
True
Suppose -2*a - 55 = -65. Suppose 3*g = 0, 0*g + 325 = a*c - 5*g. Suppose -2*j + c = -93. Is j prime?
True
Suppose -5159 = -372*j + 365*j. Let u be ((-4)/2 + 1)*0. Suppose u = 5*i - 2*r - j, -2*r - 588 = -6*i + 2*i. Is i a prime number?
True
Let q(t) = -9167*t + 439. Is q(-2) composite?
False
Let m = 150 + -150. Suppose 0*h + 7*h - 15113 = m. Is h prime?
False
Let m(s) = -2*s + 7. Let q be m(0). Suppose 4*b + 9 = -q. Is b - 20/(-4 + 2) composite?
True
Suppose -n + 2*m = -1375 - 13304, n = -m + 14679. Suppose -23*f = -61898 + n. Is f a prime number?
True
Let y(i) = 22 - 8*i + 8*i - 31*i + 8*i - 54*i. Let u = 8 - 13. Is y(u) a composite number?
True
Suppose 0 = -2*h + h + 2*d + 36655, 2*h = -3*d + 73289. Is h a composite number?
True
Suppose 4*t - 3*c = 1, 8 - 2 = -2*c. Is -4967*(t/4 - 1/2) a prime number?
True
Suppose -5*r = -3*i - 615, 0*i = 4*i - r + 837. Let z = 134 - 205. Let j = z - i. Is j prime?
True
Suppose -2*n - 100 = -5*t, 0 = -4*t - 3*n + 61 - 4. Suppose 2*b - 14506 = 4*h, -5*b = -14*h + t*h - 36237. Is b prime?
False
Suppose 535*x + 20128877 = 3476283 + 635983039. Is x composite?
False
Let a(m) = 2*m**2 - 5*m**2 + 40*m**2. Is a(1) a prime number?
True
Suppose -2*k + q + 36 = 24, 4*k - 4*q - 16 = 0. Let d(z) = 20*z + 4*z**2 - 9 - z - 20. Is d(k) a composite number?
False
Suppose 2*w = 4*w - 3*s - 334, -4*w - 3*s + 686 = 0. Suppose 2*z + w = 2108. Suppose 2*t = 2*n + 390, -4*t + 3*n - 193 + z = 0. Is t a prime number?
True
Let j(q) = -2*q**3 - 2*q**2 + 3*q + 6. Let w(h) = h**3 - 13*h**2 + 12*h + 16. Let p be w(12). Suppose -3*i - p = -7. Is j(i) prime?
False
Suppose 9161086 = 30*c + 260064 + 340732. Is c composite?
False
Suppose 10*f + 47639 = 174069. Is f prime?
False
Suppose 0 = 332*n - 313*n - 218633. Is n composite?
True
Let i(b) = 110*b + 203*b - 66 - 33*b. Let o be i(6). Let w = -673 + o. Is w composite?
False
Let w = 55 + -51. Suppose -8*g - 64 = -w*g. Let u = g + 335. Is u a prime number?
False
Suppose 97*s - 4 + 4 = 27*s. Let f(v) be the first derivative of -v**4/4 - v**3/3 + 2167*v + 1. Is f(s) a composite number?
True
Let r(y) = 4*y**3 - 2*y**2 - 7. Let v = -33 + 35. Suppose 5*s + 3*a = 32 - v, 0 = -2*a. Is r(s) composite?
True
Let w(v) = 175*v**3 - 5*v**2 + 52*v - 91. Is w(11) composite?
False
Suppose 19220 = 32*w - 30*w + 2*v, -v - 19229 = -2*w. Is w composite?
False
Let p(b) = -b. Let z(o) = o**2 + o + 1. Let d(s) = -2*p(s) - z(s). Let c(j) = 253*j**2 + 5*j - 7. Let y(u) = c(u) - 6*d(u). Is y(-2) composite?
True
Let u(a) = 2876*a**2 - 92*a - 739. Is u(-11) composite?
False
Let s(u) = -6*u - 2. Let i = 26 + -27. Let y be s(i). Is (2582/(-3))/(y/(-6)) a composite number?
False
Let f(w) = 165*w**3 - 27*w**2 + 49*w + 51. Is f(16) a composite number?
False
Let t(m) = m**3 + 24*m**2 - 11*m - 1. Let g be (2 - 0) + (8 - 6). Suppose -3*h - 54 - 2 = g*a, -h = 4*a + 48. Is t(a) prime?
True
Suppose 15 = 3*p + 3*y, 2*p - 10 = -2*p + y. Suppose -p*x = -9904 + 2575. Is x a composite number?
True
Suppose 0 = -a - 2, 89*y - a = 87*y + 6228028. Is y a prime number?
False
Let s = 8318 + 2749. Suppose 5*b + 2*m = s, -5*m = b - 4*m - 2211. Is b composite?
True
Suppose 612 = 19*x - 36*x. Is 40/x - -1 - (-42328)/9 a composite number?
False
Let y = -14904 + 91111. Is y prime?
True
Suppose -4*k + 3*k - 281519 = -8*k. Is k a prime number?
False
Suppose 0 = 65*w - 59*w + 18. Let p(x) = x**3 + 3*x**2 - x + 2. Let n be p(w). Is (n - (-1 - -2))/((-4)/(-478)) composite?
True
Suppose 3*d = b + 155515, b = -12*d + 14*d - 103676. Is d a prime number?
True
Is 56305 + -1 + 355/(-71) prime?
True
Let l(s) = -s**3 + 118*s**2 - 1502*s - 8. Is l(91) a prime number?
False
Suppose 0 = -2*o - 78 + 54. Let q = o + -5. Is (-1)/1*(q + -2190) prime?
True
Suppose 0 = -282*c + 28578719 + 43935209 + 65211206. Is c a prime number?
False
Suppose -5*v + 402304 = z + 136383, -v = 0. Is z prime?
True
Suppose -g + 129 = 5*m, 2*g - 441 = -2*g - 5*m. Let n = g + 789. Is n a prime number?
False
Suppose w - 35 = -4*z, z = w + 11 + 4. Let f(a) = -a**3 - 29*a**2 + 97*a + 34. Let r be f(-32). Suppose 88 = z*p - r*p. Is p prime?
True
Let n(g) = 36*g**2 - 16*g + 53. Let q be (-4)/(-3)*(-450)/(-60). Is n(q) prime?
False
Let a(n) = -8*n - 12. Let w be a(-3). Suppose w*p + 20 = 7*p, 0 = -3*m + 4*p + 36307. Is m a prime number?
True
Suppose 0 = -5*c + 2*u + 403175, 5*u = 19*c - 17*c - 161249. Is c a prime number?
False
Suppose -6*q - 1 = -13. Let k(a) = -2 - 13 + 6 - 21*a**3 - 2*a + a**2 + 5*a**q. Is k(-4) a composite number?
False
Let y = -12 + 13. Let h be (-3*4/10)/(y/2790). Is 0 + (-2)/(-4) - h/8 composite?
False
Let b(c) be the third derivative of 23*c**5/30 + c**4/4 - 29*c**3/6 + 5*c**2 - 4. Is b(-10) a prime number?
False
Let j = 131 - 96. Let s = j - 31. Suppose -s*z + 541 = -199. Is z prime?
False
Suppose -2*z - w + 1897 = -z, 2*z = -w + 3792. Suppose -5*i = -10*i + z. Is i a composite number?
False
Suppose n = 3*y + 21, 2*y - 36 = 5*y + 4*n. Is 78444/(-24)*(y/3)/4 a prime number?
True
Let s be 15/(0 - (-12)/8). Is (2 + (-14)/s)/(5/34975) a composite number?
True
Suppose -3*r + 8 = b, 2*b - 5 + 3 = r. Suppose 2*l = 3*t - b*t + 5810, -3*l = -5*t - 8729. Is l composite?
False
Suppose -5*x - 301 + 1306 = 0. Let u = -42 - x. Let b = 510 + u. Is b composite?
True
Suppose 2*a - 5*u - 5 = 0, 5*u + 50 = -0*a + 5*a. Let y(v) = -v**3 - 9*v**2 - 18*v + 1. Let g be y(-6). Is g - 3*(-12290)/a composite?
False
Let k(j) = 65*j**2 - 21*j + 45. Is k(16) prime?
True
Let q(s) be the third derivative of 47*s**7/5040 - s**6/40 - 11*s**5/60 + 24*s**2. Let g(i) be the third derivative of q(i). Is g(8) prime?
False
Let a(w) = 10*w**2 - 27. Let p be a(22). Suppose -b = -p + 996. Is b composite?
True
Suppose 4*b - 7*b + 2*n = -9114, 9114 = 3*b + n. Let x = -1677 + b. Is x composite?
False
Let n(l) = l + 1. Let g(c) = 1. Let q(y) = g(y) + 4*n(y). Let t be q(0). Suppose -t*f + 5*s + 3785 = 0, -s = f - 4*s - 755. Is f composite?
True
Let w(f) be the third derivative of 95*f**4 - 199*f**3/6 - 2*f**2 - 21*f. Is w(8) a prime number?
True
Let k(y) be the second derivative of 3*y**5/10 + y**4/4 - 7*y**3/6 + 7*y**2/2 + 83*y. Suppose -t - 2*j + 0*j + 1 = 0, 0 = 5*t + 3*j - 19. Is k(t) composite?
False
Let b(a) = 397*a**3 - 1 + 93*a**3 + 13*a**3 + 247*a**3. Suppose -1 = -4*l - d + 2, 0 = 4*l + 2*d - 2. Is b(l) composite?
True
Let c = 82 - 94. Is -2*(-3)/c*(-2 - 7976) a composite number?
False
Let t = 3260444 + -1760563. Is t a prime number?
True
Let y(l) be the first derivative of -75*l**3/2 + 13*l**2 - 37*l + 10. Let k(z) be the first derivative of y(z). Is k(-5) composite?
False
Let x(j) = -394*j + 45. Let q(t) be the third derivative of t**4/24 + t