
True
Let v(t) = -t**2 - 33*t + 39. Let n be v(-34). Suppose -12388 = -3*d - n*r, 0*d - 4*r + 20625 = 5*d. Is d a prime number?
False
Let m(f) = 2*f**3 - 3*f**2 + 2*f - 3. Let o be m(2). Suppose o*s - 3233 = -3*h, s = -3*h + 2576 + 665. Is h prime?
False
Let f(x) = -59*x + 171. Let m be f(3). Let o(c) = 2*c**2 + 33*c + 244. Is o(m) a prime number?
False
Let s(n) = -6280*n**3 - 18*n**2 - 3*n - 2. Is s(-1) composite?
False
Let w(g) = 506*g**2 + 138*g + 2953. Is w(-18) composite?
False
Is 60770/(-2575)*955/(-2) a prime number?
False
Let i = -4296 + 4457. Is i a prime number?
False
Let h = -597233 + 1033298. Suppose -6*f = 15*f - h. Is f a composite number?
True
Let p(f) = 7*f**3 + 8*f + 911 + f - 898 - 4*f**2 + 3*f**2. Is p(6) prime?
True
Let i(r) = 140*r**2 + 13*r + 678. Is i(-25) composite?
False
Suppose x = -3*q + 328211, -12*x - 3*q = -14*x + 656440. Is x prime?
False
Suppose 8*n - 15 = 9. Suppose -9*i + 4*i + n*b = -16774, -b + 3350 = i. Is i a composite number?
True
Let t = -12244 + 18651. Suppose -3*p + 4926 = -4*h, -h + t = 4*p - 180. Suppose -240 = -2*m - 5*v + 407, 0 = 5*m + 3*v - p. Is m a prime number?
True
Suppose 0 = -3*t - 5*l + 2, 0 = 5*l + 23 + 2. Suppose t*j - 92944 - 47312 = 0. Suppose 0 = -3*s + j - 4043. Is s a prime number?
True
Let p(s) = 13*s**2 - 7*s - 1 + 0*s + s**3 + 0*s**3 + 9. Let l be p(-13). Let w = 490 - l. Is w prime?
False
Let z = -836 - -6799. Is z prime?
False
Let c(b) = b**3 - b - 1. Let x(k) = 10*k**3 + 4*k**2 + 2*k - 1. Let o(w) = w + 1. Let f be o(-2). Let q(m) = f*x(m) + 4*c(m). Is q(-7) composite?
False
Suppose 8 = 6*g - 82. Suppose -9*j + g = -8*j. Let n(f) = 4*f**2 - 21*f + 6. Is n(j) a prime number?
False
Suppose 0 = 3*g + 3*f - 600207, 3*g - 4*f - 964769 = -364604. Is g composite?
False
Suppose -5*k + 2347125 = 5*n, -3*k - 374734 = -3*n + 1033565. Is n composite?
False
Let i(p) = 149*p + 412*p - 59*p - 122 - 67 - 165*p. Is i(10) a prime number?
True
Suppose 8*h - 115 = 45. Suppose 2*j = 2*p + h, -p = 4*p + 25. Suppose -376 = -4*f - j*w, 118 = 3*f - 5*w - 129. Is f a prime number?
True
Let n = 49 + -41. Suppose 5*f - a - 15 = 0, 1 - n = 4*f + 3*a. Suppose 66 = f*d - 32. Is d a composite number?
True
Let r be (5 - (1 - -4))/1. Suppose k - 1623 = -r*k. Let d = k + -1072. Is d composite?
True
Suppose 214*w - 114854043 = 50576400 + 69171979. Is w composite?
True
Let n = -190 + 208. Is 51778/12 - ((-6)/2)/n composite?
True
Let k be 3/(-2)*192/(-36)*1. Suppose r - 3*i - 1460 = 0, -13*i - 5 = -k*i. Is r a composite number?
True
Let f = -2053 + 3261. Let y = 209 + -205. Suppose y*d + 4*h - f = 0, 0*d + 4*d + 3*h = 1213. Is d composite?
False
Let c = -87 - -94. Let a be (c - 3)/4*1. Is (-3 - (4310/4)/a)*-2 composite?
False
Let h = 4 + -2. Let a(w) = 2*w**3 - 3*w**2 - w + 2. Let d be a(h). Is (-1173 - -1)*(-1)/d a prime number?
True
Let d(p) = p**2 + 1. Let h(f) = -6*f**3 - 18*f**2 + 18*f - 3. Let s(w) = 2*d(w) + h(w). Is s(-8) a prime number?
False
Let j(y) = -28*y**3 - 6*y**2 + 4*y + 10. Let c be j(-8). Suppose 29*d - 113260 = -395575. Let k = c + d. Is k a prime number?
False
Suppose 0*t - 2*t = -8. Let p be (3 + 7672)/(-5) - t. Let m = 2600 + p. Is m prime?
True
Let z(f) = f**2 + 4*f - 25. Let m be z(18). Suppose 4*g - 864 = -2*x, -x + m + 46 = -g. Is x prime?
False
Suppose 4*p - 197880 = -11*p. Suppose -22417 = -7*q + p. Is q a composite number?
False
Let t = -64186 - -117307. Is t composite?
True
Let h = -552414 + 366786. Is 8/(-14) + h/(-28) a prime number?
False
Let y(g) = -g + 13. Let s be y(9). Suppose -7*x + s*x = 3*k - 9, 19 = -3*x + 4*k. Is (8504/(-16))/(x/6) prime?
False
Let f = 168 + -164. Let r be (1 + -1)/(-1 - 0). Suppose r = -f*b + 1704 - 364. Is b a composite number?
True
Suppose g + 13718 = 3*y, 4343 = y - 3*g - 227. Is y a composite number?
True
Let h(a) = -1346*a - 18. Let t be h(-3). Suppose 2*c = -3*g + t, -5*g = -0 + 10. Suppose -15*r + 12*r = -c. Is r prime?
False
Suppose -4*q + 127 = 119. Suppose 2*t = 2*l + 10086, q*l - 3*l = -4*t + 20178. Is t prime?
False
Let h(j) = -j**3 - 39*j**2 - 15*j - 44. Suppose -12*v - 585 = 3*v. Is h(v) a prime number?
True
Let d(x) = 66*x - 5. Suppose 10 = 4*t + 10. Let c be (1 + t)*(-5 + 14). Is d(c) a composite number?
True
Suppose 10*s - 6 = 11*s. Let r be (-3 - (-7803)/15)*(-20)/s. Suppose -3*m + r = m. Is m a prime number?
True
Suppose n - 2*f = -2*n + 25771, 5*f - 8562 = -n. Is n prime?
False
Suppose -x + 2*x = 4*i + 6354, 4*i + 6356 = 2*x. Let z be ((-8)/(-16))/((-2)/i). Suppose -1448 = -9*c + z. Is c prime?
False
Let j(z) = 1089*z**2 + 87*z - 1481. Is j(15) composite?
True
Let g(n) be the first derivative of 2*n**3/3 + 5*n**2/2 + 2*n + 38. Let k be g(-2). Suppose k*f = f - 3314. Is f a composite number?
True
Let n(h) = 0 - 3*h + 1 + 16*h**2 + 7. Let o = -91 - -100. Is n(o) prime?
True
Suppose 28223 = 26*z - 256425. Suppose -z - 4083 = -d. Is d a composite number?
False
Let n = 28307 - -12946. Is n composite?
True
Let a = 45930 - -244271. Is a composite?
False
Let x be 8/(-56) + 36/7. Suppose g + x*w - 471 = 7*w, -3*w = g - 491. Is g a composite number?
False
Let p = -527 - -727. Let x be 1 + 896 + 4/(-2). Suppose p*l = 205*l - x. Is l prime?
True
Let t(o) = -6 + o**2 - 16 - o - 8*o**3 + 3*o - 3 + 0*o**2. Is t(-6) a composite number?
True
Suppose 12*z - 13*z + 2*a + 8377 = 0, 4*a = 5*z - 41915. Is z a composite number?
False
Let z(k) be the third derivative of -7*k**6/6 - k**5/30 - k**4/12 + 5*k**3/6 - 34*k**2. Is z(-4) a composite number?
False
Is 1/(3*20/67709820) composite?
False
Let l(a) = -a**3 - 22*a**2 + 48*a + 4. Let d be l(-24). Let w be 11/(-4 + d - -1). Suppose -2442 = -w*y + 5*y. Is y prime?
False
Let p(n) = 3*n**2 + 79*n - 26. Let z be p(-12). Let t = 1029 + z. Is t a composite number?
False
Let p(u) = -3840*u**2 + u + 13. Let g be p(5). Let l = -51371 - g. Is l composite?
True
Let g = -2338 + 8885. Suppose -6507 = -2*u - 0*s + 3*s, 2*u = -5*s + g. Is u composite?
True
Let u(a) = -37*a**3 + 15*a**2 - 20*a - 55. Is u(-21) prime?
True
Let p(d) = 5*d - 13*d**2 + 0*d + 15*d + 5*d + 0*d**2 + 34 - d**3. Is p(-21) prime?
True
Suppose 38*s - 1791524 = 2645774. Is s a prime number?
False
Let c be (-1707)/(-9)*402 - 5*-1. Is (3 - 5)*(-5 + c/(-14)) prime?
True
Suppose 6*n - 214813 = 163907. Suppose 14*i = n + 62866. Is i a composite number?
False
Suppose 8*h + 2*b = 10*h - 37718, -2*h - 3*b + 37708 = 0. Is h a prime number?
False
Let n = -211 + 216. Suppose 8*p - 6*p + 19565 = 3*l, -l - n*p + 6516 = 0. Is l a prime number?
True
Let o(t) = 91403*t**2 - 29*t - 23. Is o(3) composite?
False
Let w(a) = -41*a**3 - 6*a**2 + 6*a + 2. Let h be w(3). Let k = 270 + h. Let x = 1462 - k. Is x a composite number?
False
Suppose -5*z + 2*z - 651 = -3*o, -4*o - 4*z + 908 = 0. Let x = o + -1200. Is (-2)/(4/x) - 4 prime?
False
Suppose 5*b + d = 6*d + 34040, 4*d = -5*b + 34058. Let v be b + 5*(-4)/(-4). Suppose -v = -5*u - 2*y, 3*u + y - 2727 = u. Is u composite?
False
Let z(y) = -13*y + 39. Let g be z(-35). Let s = g + -259. Is s prime?
False
Let b(r) = r**2 + 18*r + 51. Let l be b(-15). Suppose -l*f = f. Suppose 0 = 2*w - 10*h + 6*h - 536, -3*h - 9 = f. Is w a composite number?
True
Let r(q) = -2765*q - 467. Let u(a) = 923*a + 156. Let i(d) = 4*r(d) + 11*u(d). Is i(-9) prime?
True
Suppose 0 = -7*f + 3*f + 12. Let s(p) = 1 - 1 + 121*p**2 - p + 4 - f. Is s(3) prime?
True
Let n(a) be the second derivative of 424*a**3/3 - 63*a**2/2 + 18*a. Is n(10) prime?
False
Let r(p) = -1219*p - 5526. Is r(-11) prime?
True
Let c(g) = -g**3 + 36*g**2 + 98*g - 45. Let j be (816/(-340))/(3/(-40)). Is c(j) a prime number?
True
Let o be (7 + 35)/7 + 30699. Suppose -2*z - 4*v = -12306, 9*v - o = -5*z + 11*v. Is z a prime number?
True
Let y(k) = -2*k**2 - 9*k + 9. Let w be y(1). Is 5097951/162 + w/(-12) prime?
True
Suppose 3*g + 4 = 2*y, -g + 5*y = 6*y - 7. Suppose -6*a = -g*a - 11268. Suppose 638 = -c + a. Is c a prime number?
True
Suppose -2*k + 7682 = -4*l, -7*k + 2*k + 19190 = 5*l. Is k a composite number?
True
Let b = 218244 + -105565. Is b a prime number?
False
Suppose 210*l - 23*l = 17794733. Is l composite?
True
Let k(s) = -s**2 - 7*s - 1. Let l be k(-7). Let q = 5 + l. Suppose 0 = -q*c + 8*c - 628. Is c prime?
True
Let j(r) be the second derivative of -629*r**3/6 + 47*r**2/2