 k. Is g a composite number?
True
Let y(v) = v**3 + 8*v**2 - 8*v + 18. Let q(g) = -5*g**3 - 40*g**2 + 39*g - 91. Let a(d) = -2*q(d) - 11*y(d). Is a(-15) composite?
False
Suppose -17*q + 3873 = -19196. Is q a composite number?
True
Let t(u) = u**2 - 13*u - 16. Let d be t(7). Let k = d + 104. Is k a composite number?
True
Let m = -1 + -5. Let z(y) = 16*y**2 + 5*y + 17. Is z(m) a prime number?
True
Suppose -5*a + 16 = 41. Let h = -6 - a. Let g(q) = 499*q**2 - q - 1. Is g(h) a prime number?
True
Let k = -21 + 40. Suppose -b + 778 = 3*z - 683, b = 5*z + 1453. Let p = b + k. Is p a composite number?
True
Let v = 16512 - 2921. Is v composite?
False
Let c(w) = w**3 + 28*w**2 + 11*w + 3. Is c(-19) prime?
False
Suppose -i - i = -3*a + 898, -2*a + 567 = 5*i. Suppose -45*h = -37*h - a. Is h a composite number?
False
Let k(l) = -4*l - 2. Let o be k(-7). Suppose -o*r + 25 = -21*r. Suppose 4*t + 2*a - 322 = 4*a, -2*t - r*a + 191 = 0. Is t composite?
False
Let f(v) = 2*v + 5. Let l be f(-7). Let w be ((-6)/l)/((-2)/(-12)). Suppose 3*y + y - 207 = c, 0 = -w*y + 4*c + 192. Is y prime?
True
Let y = 21 + -16. Suppose 0 = 6*p + 2 - 962. Suppose 0 = -5*g - 3*s + 821, y*g - 3*s = -p + 969. Is g a prime number?
True
Let s be (-336)/70*(3/(-6) + -2). Is ((-1636)/3)/((-8)/s) composite?
True
Let q(z) = 27*z + 52*z**2 - 19 - 23*z + 10. Is q(4) a prime number?
True
Let u(w) = -7*w**3 - 26*w**2 + 57*w + 29. Is u(-20) a prime number?
False
Let k be (-7 + 2)*2/(-5). Suppose 3*o + k*o + 10 = 0. Is o/(-3) + 2028/9 prime?
False
Is (42/9)/((-34)/(-7089)) composite?
True
Let r(v) = -v - 8. Let g be r(-10). Suppose -4*t = g*y - 4384, 2*t - 5*y = 3*t - 1087. Is t a prime number?
True
Suppose -6*d = -10*d - 4, -2*u + 2*d - 14170 = 0. Let y = u + 11947. Is y a prime number?
True
Is (-2)/2*(5 + 0)*-7789 composite?
True
Let k(y) = 159*y**3 - y**2. Suppose -5*n = -2*i - 72, -4*n - i = 27 - 82. Suppose 3*r + 4*v = 8*v - 9, 5*r + 3*v - n = 0. Is k(r) a composite number?
True
Let j(f) = -f**2. Let w(b) = 10*b**2 - 18*b + 7. Let l(t) = -6*j(t) + w(t). Is l(8) a composite number?
False
Let t(z) = 23*z**2 - 27*z + 33. Is t(16) composite?
True
Is (-4739)/56*-1*8 composite?
False
Suppose 0 = -5*n + 4*w + 9787 + 11838, n - 5*w - 4346 = 0. Is n prime?
False
Suppose 181 - 12083 = -22*t. Is t prime?
True
Let x = 11 - 9. Suppose 3*g + x = 2*g. Is (-10 - g)/4 - -293 a prime number?
False
Let b = 816 - -13157. Is b prime?
False
Let p(a) = a**2 + a + 1. Let x(m) = 57*m**2 + 6*m - 8. Let b(n) = -p(n) + x(n). Is b(4) prime?
True
Let i(s) = -84*s - 5. Let q be (54/(-63))/((-2)/28). Let n(m) = -m + 8. Let w be n(q). Is i(w) a composite number?
False
Let p be (-323)/119 - (-2)/(-7). Is (p/(-12))/((-1)/(-1916)) composite?
False
Let f(s) = s**3 + 13*s**2 - 12*s - 3. Let j(q) = 6*q**3 + 66*q**2 - 60*q - 16. Let t(i) = -11*f(i) + 2*j(i). Let h be ((-4)/10)/(6/(-180)). Is t(h) composite?
True
Suppose 3*y - c = 14025, 17165 = 5*y + 4*c - 6210. Let o = -3338 + y. Is o prime?
False
Let z(w) = -15*w - 46. Suppose 3*r - t + 65 = 0, 48 = -3*r + 2*t - 19. Is z(r) a prime number?
True
Let h(j) = -4*j**2 + 4*j - 3. Let f(k) = -5*k**2 + 3*k - 2. Let t(u) = 3*f(u) - 4*h(u). Let n be t(6). Suppose -3*a + 117 = -n*a. Is a a composite number?
True
Let l = -3735 + 5684. Is l a composite number?
False
Suppose -2*b - 387 = -5*b. Suppose 48 = -v + b. Suppose 3*o - 5*q = v, -2 = 5*q + 13. Is o prime?
False
Let s(b) = b - 1. Let l be s(6). Suppose 0 = 3*n - l*n - 6. Let r = n - -37. Is r composite?
True
Let p(q) = -148*q**3 + q**2 - q - 1. Let z be -9 + (3 - (5 - -1)). Let m(w) = w**2 + 13*w + 11. Let r be m(z). Is p(r) a prime number?
True
Suppose 3*u + 4*z = -4, 3*u + 5 = -2*u - 5*z. Suppose -4*x + 7 + 5 = u. Suppose -96 - x = -3*d. Is d a prime number?
False
Let g(v) = -72*v - 44*v + 11 - 4 + 12*v. Is g(-3) a composite number?
True
Let p = 3697 - 1620. Is p composite?
True
Let h(l) = l**2 - l - 7. Suppose -a - 3*c = -c - 12, -5*c = -a - 16. Let x be h(a). Suppose x*v = 2*p - 0*p + 704, -4*v + 553 = -5*p. Is v a composite number?
True
Let y(j) = 233*j - 13. Let v(t) = 116*t - 6. Let q(f) = 10*v(f) - 4*y(f). Let l be q(-3). Let b = l + 1023. Is b composite?
False
Let q = 5171 - 1645. Let c = q - 2429. Is c prime?
True
Let h = -104 - -95. Is (-11215)/(-15) + 6/h - -4 prime?
True
Suppose -6*c + 162 = 3*c. Let k(h) = 16*h - 25. Is k(c) a prime number?
True
Suppose 0*h + 4*u = -4*h + 40, -4*u - 5 = -5*h. Suppose 2*g + 938 = -g + h*t, -2*g - 5*t = 667. Let f = g + 470. Is f composite?
False
Let s be -1047*(-4)/12*1. Suppose -5*a = -2*r + s + 58, 0 = 3*r - a - 630. Is r a prime number?
True
Let b(u) = -u**3 + 8*u**2 - 13*u - 7. Let l be b(5). Is 5542/l + 4/(-12) prime?
True
Suppose -4*c = 92 - 1048. Suppose -h + 5*p + c = 0, -6*h - 3*p + 413 = -4*h. Is h a prime number?
False
Let x(j) = -3*j**3 - j**2. Let i be x(-1). Let v = -365 - -537. Suppose i*k - 246 = v. Is k a prime number?
False
Suppose -4*u + 3 = -17, -3*h - 2*u + 2185 = 0. Suppose 3*m = -4*r + h, 2*m - 446 = 2*r + 14. Is m a composite number?
True
Let t = 1159 + -1769. Let r = t + 1971. Is r composite?
False
Let d be (-4)/(-8)*144/4. Let u(z) = 53*z - 35. Is u(d) a composite number?
False
Suppose -10*d + 133889 = 50359. Is d prime?
True
Suppose -4*d + 43 = v, 5*d + 9 - 50 = 3*v. Let i(z) = -6*z + 23. Let q(o) = 4*o - 15. Let r(k) = 5*i(k) + 8*q(k). Is r(d) prime?
False
Suppose -2 = -3*n - 5*c, c - 2 = n - 2*n. Suppose -n*d + 7*d = 291. Let b = d - -18. Is b a composite number?
True
Suppose 0*s = -2*s + 6. Suppose -18 + 81 = s*g. Is g prime?
False
Let q = 12829 - 926. Is q a prime number?
True
Let c = 30282 + -21011. Is c a composite number?
True
Let c be ((-10)/30)/(0 - 1/(-18)). Suppose -2*i - 4717 = 2*i + 3*n, 5*n - 5 = 0. Is (-15)/c*i/(-25) composite?
True
Suppose -100604 = -7*r - 21*r. Is r a composite number?
False
Let c = 56 - 39. Let l = 19 - c. Suppose 5*i + 3*h - 2029 = 0, l*i = h + 2*h + 820. Is i composite?
True
Let i = -10167 + 24536. Is i a prime number?
True
Suppose -3*b + 2462 = -n, 18*b - 15*b - 2*n - 2461 = 0. Is b composite?
False
Suppose o = 4*c - 3212, 2*o - c + 6451 = -2*c. Let r = -1887 - o. Is r a prime number?
False
Let b be ((-3)/(-1))/(12/(-8)). Let z be b/(-2*(-3)/(-159)). Is (-2 - (2 + -5))*z a composite number?
False
Let n(i) = -i**3 + 9*i**2 + 9*i + 9. Let t be n(10). Let a(x) = x. Let j(g) = g**2 - 20*g + 8. Let r(d) = t*j(d) + 2*a(d). Is r(13) a composite number?
False
Let t = 54 + -100. Let m = -7 - t. Is m prime?
False
Let t = 17420 + -201. Is t a prime number?
False
Let k(u) be the second derivative of u**4/2 + u**3 - 7*u**2/2 + 5*u. Suppose -3*r + 12 = 3. Is k(r) prime?
False
Let f be ((-2)/(-2))/(-1 + 2). Let p(a) = -54*a. Let b be p(f). Is (7/(-3))/(6/b) a composite number?
True
Let a = -829 + -278. Let n = -636 - a. Is n a composite number?
True
Let i be -2857*((-28)/(-20) - 2/5). Let q = -1388 - i. Is q a composite number?
True
Suppose 4*d = 951590 + 382734. Is d a prime number?
True
Suppose d - 126 = -5*l, 2*l - 38 = l + 3*d. Is 417*(l/6 - 4) composite?
False
Let z(r) = r**3 - 2*r + 2. Let m be z(1). Suppose -i - m = 1, 3*s + 4*i = -17. Let n(w) = -10*w**3 + 5*w**2 + 4*w + 4. Is n(s) prime?
True
Suppose 31161 = 4*q + 35*k - 40*k, 23366 = 3*q + k. Is q composite?
False
Suppose -n = -5*n - 12. Let y(g) = -g**2 - 4*g - 3. Let r be y(n). Suppose 5*x = 5*j - 530, 2*x + r*x = 0. Is j a prime number?
False
Let f(l) = -115066*l - 9. Is f(-1) prime?
True
Suppose -438*l - 128963 = -467*l. Is l a prime number?
True
Let l be 0/2*(-1)/2. Suppose l = -4*h - h + 675. Is h + 3/((-9)/(-12)) composite?
False
Let c be 3*1/9 - (-55)/15. Suppose c*p - 12317 = 5*s, 2*s + 12 = 6*s. Is p a prime number?
True
Suppose 11*b + 7084 - 65527 = 0. Suppose -4248 = -4*g + 2*u, 5*g + u - b = 5*u. Is g a prime number?
True
Suppose -2*d = 4*y - 170, 5*y - 39 = 3*d - 305. Suppose -476 - d = -t. Is t a prime number?
True
Suppose 3387 = 3*d + 126. Suppose 0 = -143*v + 144*v - d. Is v a composite number?
False
Let a(u) = u**2 + 6*u - 1. Let d be a(-6). Let t be 1*(-3 + 152 - d). Suppose -2*p + 20 = 3*p, -p - t = -2*c. Is c a composite number?
True
Let a(k) = -k**3 - 2*k**2 - 1. Let q be a(5). Let j = -242 - -131. Let y = j - q. Is y prime?
False
Suppose -8*c = -5*c - 27