 4109. Is p a prime number?
False
Suppose -89*o + 146*o - 526623 = 0. Is o composite?
False
Suppose -8*v + 30593 = -3*v - q, -2*v + 12228 = -5*q. Is v a composite number?
True
Let z(i) = -268*i + 187. Is z(-9) composite?
True
Let j(p) be the third derivative of p**6/20 - p**5/20 - p**4/6 + p**3/6 - 9*p**2. Let q be j(6). Suppose 6*s - q = s. Is s a prime number?
True
Let v(y) = -69*y**3 + 7*y**2 - 2*y + 3. Is v(-5) prime?
False
Suppose 4*x - 9436 = 6392. Is x prime?
False
Is 1*-3149*(-1)/1 a prime number?
False
Let w(t) = -8*t**3 + 3*t**3 + 4*t + 1 + 7*t**3 - 14. Is w(6) prime?
True
Suppose -z - 6*s + 3*s = 14, 5*z = -s - 56. Let x = 19 + z. Is (6 - 11)*x/(-10) composite?
True
Suppose 8178 = x - 3*c, 20497 = -5*x + 3*c + 61411. Is (x/5 - (-16)/80)/1 prime?
True
Suppose 72 = 2*u - 3*u. Is (97/(-3))/(8/u) a prime number?
False
Is 5/(-20)*-4*139 a composite number?
False
Let w = -54 - -54. Suppose w = j, 3*r + 2*r = 5*j + 4015. Is r a composite number?
True
Suppose 0 = 16*a - 3 + 3. Suppose -5*z = 5*p - 245, 4*p = -z - a*z + 190. Is p a composite number?
False
Suppose 5*d - 118925 = 85010. Is d a prime number?
True
Suppose -2*w - 5*m + 18 = -m, -2*w = -m + 7. Is 419/((-4 + 5)/(w - -2)) prime?
True
Let b(i) be the second derivative of i**4/12 - i**3/2 + i**2 + 3*i. Let h be b(1). Is h + (1 - -148)/1 composite?
False
Let i(k) = -k - 11. Let l be i(-13). Suppose -6 = -l*j - 0*j + x, -4*x = -j - 11. Is -1*(-1 - 4)*j a composite number?
True
Suppose 2*p + 6*r = 3*r + 203042, 4*p - 4*r = 406084. Is p prime?
False
Suppose -2*h + 41698 = 3*b - 5757, -4*b = 5*h - 63285. Is b prime?
False
Suppose 0 = 8*n - 6*n. Suppose 3*h + n*h = 1623. Is h prime?
True
Let q(y) = -y**3 - 4*y**2 - 4*y + 3. Let j be q(-5). Let c = j - 23. Is c + 0/2 + 1 composite?
True
Let c be -7*(2 + (-88)/14). Suppose 0 = 5*f + 3*s - 16 - 19, -2*f + c = -2*s. Is f/5*(-955)/(-2) composite?
True
Let b be 5/(-15)*-9 + 0. Suppose b*m - 6 = 0, -5*m + 930 = -5*j + 3325. Is j composite?
True
Suppose 3*w - 185631 = 41046. Is w prime?
False
Suppose -2*t + 221 = 37. Suppose -3*s = -4*c + t, -s + 23 = c - 0*s. Is (2 + -4)/((-2)/c) composite?
False
Suppose -2*n = 3*y - 49, 2*y - 16 - 5 = n. Suppose -11*s + y*s - 52 = 0. Is s a prime number?
False
Let h(o) = 2*o**2 - 4*o + 1. Let g be h(3). Let v(y) = y - 7. Let n be v(g). Is n/((-2)/2) - -34 composite?
True
Suppose 0 = -2*m - 4*o, 2*o - 6 = 3*m + 6*o. Is ((-3)/m)/(-5 + (-1911)/(-382)) prime?
True
Suppose -5*m = -2*q + 15243, -4*m = 2*q + 2*q - 30416. Is q prime?
False
Let p = 11500 + 16433. Is p composite?
True
Suppose -2*n = 3*n + 100. Let s(y) = -y**3 + 13*y**2 + 15*y - 4. Let x be s(14). Is (-1464)/n - (-8)/x prime?
False
Let v be -1 - (-4)/(12/(-189)). Let u be (1089/(-2))/(24/v). Let o = u + -866. Is o prime?
False
Let l(k) = 4 + 5*k**2 - 2*k - 2*k**2 - 3*k**3 - 3 + 2. Is l(-4) composite?
False
Suppose 0 = -4*h + 17 - 25. Let s(u) = -114*u**3 + 5*u**2 + 8*u + 3. Is s(h) a prime number?
True
Suppose 3*a = x - 1676, 4*x - 2*x = -5*a + 3363. Suppose 2*s = -3*j - x, -2*j - j = 4*s + 3349. Is 12/8 - s/2 a composite number?
False
Let x = 6246 - 4453. Is x a composite number?
True
Suppose -33*w - 46708 = -37*w. Is w prime?
True
Let n = 2509 + -427. Suppose -p + 3*p + 3*q - 2098 = 0, q = 2*p - n. Is p composite?
True
Suppose -5*v = 3*j - 31, -2*j + 23 = 2*j + 3*v. Suppose -a = j*a + 825. Let r = 388 + a. Is r composite?
False
Suppose -53*i = -48*i - 98305. Is i a composite number?
False
Let q be (-8)/(-36) + 2230/9. Let m = -15 + q. Is m a composite number?
False
Let o = 19 - 15. Let x(j) = -1959*j + 3. Let u be x(o). Is (u/(-12))/(-7)*-4 prime?
True
Let o = -135 + 140. Suppose -2*b + 4*b = -o*k + 1585, -2*b - 1268 = -4*k. Is k composite?
False
Let c = -277 - -514. Suppose a = -5*f - 824, -c + 729 = -3*f - 3*a. Let k = 299 + f. Is k a composite number?
True
Let y(s) = s - 3. Let q be y(7). Suppose q*m - 2*t - 32081 + 8197 = 0, 2*t = -4*m + 23884. Is m prime?
False
Let j(d) = 754*d**2 - 11*d + 31. Is j(8) a composite number?
True
Let q(n) = 3*n + 127. Let a(w) = -2*w - 20. Let c be a(-10). Is q(c) composite?
False
Suppose -2*w - 4*u + 1842 = 0, -2*u - 25 = 3*u. Suppose -7*l + w = -112. Is l a composite number?
False
Let j = 1170 - 349. Is j prime?
True
Is 2 - (-12)/(-3) - (-2819 - 2) a prime number?
True
Suppose -666 = -5*h + 349. Is h - 10/(-5) - 0 composite?
True
Let a(i) = 3*i**2 - 18*i - 5. Suppose 3*j - u = 2*u - 24, 3*j - 2*u + 22 = 0. Is a(j) composite?
False
Is 1085 + 0 + 4/(0 - -2) a prime number?
True
Is (-5)/(2/(-7) - (-342)/1246) a prime number?
False
Let k(g) = 3*g**3 - g**2 - 3*g + 3. Let u be k(-3). Let y = u + 167. Is y prime?
True
Let u = -21 - -21. Suppose -f + 3 = -u. Suppose -f*r + 2*i = -281, r - 2*i - 87 = -3*i. Is r a composite number?
True
Suppose -4*j + 3*j - 1070 = 0. Let m = 3001 + j. Is m a prime number?
True
Let i be ((-186)/(-1))/((-12)/18). Let q be 4 - (i + -4 + 3). Let t = q - 27. Is t a composite number?
False
Suppose 0 = k - 5*u, 0*k = -2*k + 4*u. Is (5 + -4)*(309 + k) prime?
False
Suppose -28 + 206 = -i. Let o = -144 - -100. Let g = o - i. Is g a composite number?
True
Let w = -6064 + 15797. Is w composite?
False
Suppose -100*l + 87*l = -90311. Is l a prime number?
True
Let x = -38 - -67. Suppose x = 5*o - 11. Let h(y) = 18*y + 13. Is h(o) composite?
False
Suppose 0 = 7*x - 11421 - 18308. Is x a prime number?
False
Suppose 0 = -2*z - r + 33687, z - 6*r = -r + 16816. Is z composite?
True
Let g(z) = 4*z - 26. Let a be g(8). Let q = -119 + 184. Suppose -q = d - a*d. Is d a prime number?
True
Let n(u) = 35*u**2 + 5*u + 16 - 17*u + 8*u. Is n(-7) prime?
True
Suppose -5*g - 100 = -5*p, p + g = -3*p + 55. Is 17/5 + -3 - (-7299)/p composite?
False
Suppose 8*k - 20274 = 2*k. Is k composite?
True
Is (6828/8)/(24/32) composite?
True
Suppose w = -55 - 0. Let y(z) = -z**3 - 15*z**2 + 2*z + 6. Let q be y(-15). Let x = q - w. Is x prime?
True
Let z = -3 + -3. Let u(s) = 10*s**2 - 4*s + 7. Is u(z) composite?
True
Let u be (4 + -1)*4/(-3). Is 2/(u/(-574)) + 0 a prime number?
False
Let d = -6 + 8. Is (d + -7)*(-141)/5 a prime number?
False
Suppose -16*q + 270 = 11*q. Is q a prime number?
False
Suppose -2365*l + 2359*l + 119982 = 0. Is l a composite number?
False
Suppose 2*s + 30 = 17*s. Suppose 5*y = 2*u - 223, s*u = 3*u - 5*y - 114. Is u a composite number?
False
Let x = -129 + 234. Suppose 3*c + 1051 = 4*b - x, -3*c = -3*b + 867. Is b prime?
False
Let o = 2249 - 987. Is o/34 - (-2)/(-17) composite?
False
Suppose -3*v = 5*o - 3, -2*v = 6*o - 2*o - 2. Is o + -4 - (1 - 592) composite?
False
Suppose -n + 56 = 2*r, -2*r + n - 5*n = -50. Suppose 64 = r*o - 27*o. Is (87/4)/(12/o) a prime number?
False
Let t(i) = -10 - 9*i**2 + 4*i + 5 + i. Let s(a) = 18*a**2 - 9*a + 9. Let c(d) = 6*s(d) + 11*t(d). Is c(3) composite?
False
Suppose -u = -0*u + 695. Let w = u - 563. Let x = w + 1803. Is x composite?
True
Let w be (-5)/5*(-6 - -1). Suppose 16*v - 17*v = -w. Suppose v*s - 1055 = -0*s. Is s a composite number?
False
Is (-988)/(-3) + -2 + (-20)/15 a prime number?
False
Let k = -25930 + 43451. Is k prime?
False
Let y(f) = -f**3 + 2*f**2 - 12*f - 9. Is y(-14) a prime number?
False
Suppose -3*l = -b - 59, -l = -4*l - 3*b + 75. Suppose 2*z - z - 5*w = 10, -4*z = -w - l. Suppose -3*x - z*f = -633, -2*x = -3*f + 34 - 456. Is x a prime number?
True
Let l(u) = -62*u + 38. Let n be l(-27). Is 6/(-9) - n/(-12) a composite number?
True
Let y be 3 - 0 - (-1 - -1). Suppose 4*k - 5939 = -y*b, -5843 = -3*b + 4*k + 56. Is b a prime number?
True
Is 33/99 + (-44675)/(-3) + -1 a prime number?
True
Let k = -2425 - -3896. Is k a composite number?
False
Let c = 590 + 1613. Is c a prime number?
True
Let d(m) = 13*m - 7. Suppose 5*k = 20, 14 = -3*c + 2*k - 0*k. Let t be c/(-3) + (-16)/(-3). Is d(t) a prime number?
True
Let k(h) = -h**3 + 22*h**2 + h + 29. Is k(22) a prime number?
False
Suppose 4*h + 481 = -1011. Let q = -164 - h. Is q a composite number?
True
Suppose -2*o + 6 = -k, 5*o - 5 = 3*k + 2*k. Suppose r - 15 = k*r. Is (r + 2)/(-4 - -3) composite?
False
Suppose -14612 = -35*r + 9923. Is r a prime number?
True
Let y(n) = 1. Let g(q) = 1184*q - 9. Let x(b) = g(b) + 4*y(b). Let j(o) = -296*o + 1. Let s(p) = -9*j(p) - 2*x(p). Is s(5) composite?
False
Suppose -3*u