
False
Let o(w) = w**2 + 4*w - 2. Let d = 13 + -19. Is o(d) composite?
True
Is 15224/10 - 63/(-105) composite?
False
Let m = -727 - -143. Let s = m + 875. Is s*(8/(-3) + 3) composite?
False
Suppose -5*k + 640 = x + 2*x, -2*k + 277 = -3*x. Suppose -4*f + 648 = -i, -5*i + k + 215 = 2*f. Is f a prime number?
True
Let u be ((-1)/(-3))/(9/(-189)). Let k(g) be the first derivative of -3*g**2/2 - 7*g - 1. Is k(u) composite?
True
Suppose 9 = -0*a + 3*a. Suppose a*f + 2*f = 375. Suppose -4*y + f = y. Is y a composite number?
True
Let x(v) = -v**3 + 16*v**2 - v + 20. Let q be x(16). Suppose 5*i - q*w - 403 = 0, 2*w - 162 = -2*i + 4*w. Is i composite?
False
Suppose -i - 5*v = -321, -2*i - 4*v = 2*i - 1252. Let b = i - 220. Is b a prime number?
False
Suppose 2*l + 12 = l. Let s(a) = a**2 + 7*a - 5. Is s(l) a prime number?
False
Let s(l) = -4*l**3 + 2*l**2 + 7*l**3 + 2*l + 0 + 1. Suppose -5*y + 5 = -5*i, -5*i + 0*y = -3*y - 5. Is s(i) prime?
True
Let h = 15 + -10. Let n(k) = -81*k + 9. Let g be n(-8). Suppose -v + 90 = -b, h*v + 216 - g = -4*b. Is v a prime number?
True
Suppose -174 - 127 = -7*w. Is w a prime number?
True
Suppose -24 = t + 46. Let p = -33 - t. Is p composite?
False
Let w(l) = 10*l - 3. Let f(i) = 2*i**2 + 6*i + 3. Let m be f(-4). Let s = m - 4. Is w(s) a composite number?
False
Let b = -416 + 63. Let s = -204 - b. Is s prime?
True
Suppose 4*i = 4 + 8. Suppose i*y - 8 = y. Suppose -2*a + y*g = -73 - 97, -4*a = g - 331. Is a a composite number?
False
Let p = 59 - -38. Is p composite?
False
Let p(b) = -b**3 + 17*b**2 - 6*b + 8. Let d be p(8). Let c = -313 + d. Is c a composite number?
False
Let q be (-1 + 0)*1*3. Let l(i) = -i**2 - 8*i + 17. Let v(u) = 2*u - 4. Let o(g) = -2*l(g) - 9*v(g). Is o(q) prime?
False
Is 89 - (-1)/(3/6) composite?
True
Suppose 2*z + 3*a - 32 = 0, -3*a - 20 = 2*a. Is (z/(-3))/((-2)/33) composite?
True
Suppose -4 = -4*m - 2*p - 0, m - 4*p = 19. Suppose 0 = -3*q - m*z + 405, -6*z - 119 = -q - 3*z. Is q a prime number?
True
Suppose 429 = 5*b - 4*w, -w + 3*w - 8 = 0. Is b composite?
False
Suppose 55 = 3*f + 190. Let y = 104 + f. Is y a composite number?
False
Suppose -5*z = -6 + 21. Let o = z + 5. Suppose -j - o*j = -9. Is j a prime number?
True
Let v(r) be the third derivative of r**5/8 - r**4/3 - 2*r**3/3 - r**2. Let k(m) be the first derivative of v(m). Is k(11) prime?
True
Let u(t) = 4*t - 5. Let b be u(-7). Is (-2)/(-2) + 0 - b prime?
False
Suppose -3*t + 379 = -4*j, 0 = -2*t + 2*j + 3*j + 262. Is t a composite number?
True
Let k be (2 + 21/(-9))*0. Let f be k*(9/6 - 1). Let r(n) = n**3 + 97. Is r(f) prime?
True
Let k(q) = -8*q + 1. Suppose 7*g - 4*g - 12 = 0. Let t be (g - 1)*(0 - 1). Is k(t) composite?
True
Let z = 4 + -1. Suppose 2*s + z = -s. Is s/((6/(-28))/3) composite?
True
Let m(x) = -x**3 - 8*x**2 - 6*x + 7. Let n be m(-7). Let t be 4 - (1 + n/(-2)). Is t - 4/(4/(-71)) prime?
False
Let l(y) = 6*y**3 + y**2 + y + 3. Is l(4) a composite number?
True
Let b be 2/(-4)*(-153 + 3). Let z = b + 123. Is ((-1)/3)/((-6)/z) a prime number?
True
Suppose -2605 = 5*c - 10*c. Is c prime?
True
Let v be (0 - (1 + -9))/2. Let t = v + -4. Suppose 0 = -t*b + 3*b - 69. Is b prime?
True
Let n = -4419 + 6242. Is n prime?
True
Suppose 0*d + 4*d - 2*t - 12 = 0, -20 = -5*t. Suppose 131 = 4*y - d*s, 3*y - 97 = 3*s + s. Is y composite?
True
Suppose 4*g + 9 = -d, -3*d = 2*g - 2 + 19. Let f be 2*(g - -2) - 2. Suppose y + f - 25 = 0. Is y prime?
False
Suppose -3*i = -2*i - 3. Let o(d) = 10*d**3 - 11*d**2 - d + 2. Let b(q) = 5*q**3 - 6*q**2 - q + 1. Let r(t) = i*o(t) - 5*b(t). Is r(2) composite?
True
Let r(b) = -4*b**3 - 2*b**2 - 1. Is r(-2) composite?
False
Suppose 0 = -5*r, -5*l = -3*r - 42 - 423. Is l a prime number?
False
Suppose -2*x - 2*y = 58, 139 = -5*x + y + 24. Let d = x + 34. Is d prime?
False
Suppose 0 = 5*c - 3*i + 10, 0 = -3*c + 3*i + 2 - 14. Is (-12)/4 + c + 21 prime?
True
Suppose 4*d = 5*s + 273, -3*s + 205 = 3*d - 7*s. Is d a composite number?
False
Let y(b) = 434*b. Let r be y(8). Suppose 4*z - r = 924. Is z composite?
True
Let i(y) = -y**3 + 11*y**2 - 2*y - 7. Let m be i(6). Suppose -4*l + m = 21. Is l a prime number?
False
Suppose -16263 = -6*d + 43647. Is d composite?
True
Suppose 0 = -2*u - 2*u + 236. Is u a composite number?
False
Is -3 + (1789 - 1)/2 + -4 a prime number?
True
Is (51/15 - 4) + (-2338)/(-5) a composite number?
False
Let t(w) = 94*w**2 + w. Let s = 1 + -2. Is t(s) prime?
False
Let q(j) = j**3 + 5*j**2 - 30*j - 5. Is q(13) prime?
True
Let o(d) = -d**3 - 13*d**2 - 12*d + 22. Is o(-12) a composite number?
True
Suppose 0 = 4*b - 161 - 2263. Let n = b - 175. Is n composite?
False
Suppose 6*z - 2*z = 24. Let s = -20 + 32. Let a = s - z. Is a a prime number?
False
Let l(v) = 3*v. Let g be l(1). Let i(q) = -43*q - 1. Let x be i(g). Let w = -79 - x. Is w a composite number?
True
Is ((-1)/(-3))/((-1)/(-8859)) a prime number?
True
Let b = 16 + -14. Suppose -k = -0*g - 2*g - 67, -4*g + 174 = b*k. Is k a composite number?
True
Let z(o) = 2162*o**2 + 7*o + 6. Is z(-1) composite?
False
Suppose -31*s + 26*s = -10025. Is s composite?
True
Suppose 0 = -3*i - i + 232. Suppose -7*o - i = -8*o. Is o composite?
True
Suppose 6 = 3*g - 18. Suppose -g = -2*n + 4. Is 120*1 + n/(-6) a composite number?
True
Suppose 921 = s - 0*p - 2*p, 4*s - p - 3649 = 0. Is s a prime number?
True
Let f(m) = -2*m**3 - 24*m**2 - 7*m - 7. Is f(-16) prime?
True
Let w be (-856)/(-11) + 2/11. Suppose 4*y - 26 = w. Is y prime?
False
Let n = -19 + 22. Suppose 4*s - 2041 = -n*x, s - 3*s - 1356 = -2*x. Is x composite?
True
Let p = 424 + -213. Is p a composite number?
False
Suppose 21 = 2*c - 27. Suppose 6*r - 2*r = -c. Is (1 - -2)/(r/(-4)) a prime number?
True
Suppose -6*u + 9 = -15. Suppose s - u*s = -573. Is s composite?
False
Let u(l) = 86*l**2 + 3*l. Let o be u(4). Suppose -2*w + 2*c = -694, -o = -4*w - 0*c + c. Is w a prime number?
True
Suppose -28 - 137 = -n - 2*b, 0 = -3*b. Let f(y) = y + 2. Let z be f(2). Suppose -z*d = d - n. Is d a prime number?
False
Let s(t) = -t**3 - 3*t**2 + 6*t. Let u be s(-11). Suppose -u = -0*k - 2*k. Is k composite?
True
Suppose -2*b - 2*b = -844. Is b prime?
True
Suppose -3*r - 2*r = i + 11, i = 3*r + 5. Let n(w) = w. Let l(t) = 16*t**3 + t**2 + 4*t + 1. Let b(p) = -l(p) + 3*n(p). Is b(i) composite?
True
Let w(a) = 2*a**3 - 4*a**2 - 4*a + 2. Suppose -15 = 3*d - 6*d. Let m be w(d). Let h = m - 77. Is h a composite number?
True
Let d be 3/(-6)*(-6 - 0). Suppose b - d*b = -2. Is (-43)/(-2) + b/2 prime?
False
Suppose 0 = -2*t + 992 - 278. Is (-4)/10 - t/(-5) a prime number?
True
Suppose -x = -4*i - 81, i + 10*x + 36 = 5*x. Let o = i + 55. Is o a prime number?
False
Let b = -28 + 241. Is b a prime number?
False
Let h(y) = 6*y**2 - 8*y - 5. Let t(o) be the third derivative of o**6/120 + o**5/60 - o**4/8 + 2*o**3/3 - 3*o**2. Let c be t(-3). Is h(c) prime?
False
Suppose -3*l = 5*b - 1054, 4*l - 2*l + 830 = 4*b. Is b composite?
True
Is (6*1)/(-12 + 14) - -2288 composite?
True
Suppose 8*y = 4*y + 2*w + 2128, -2*w = -4. Is y prime?
False
Let s = -368 + 739. Is s composite?
True
Is (-26)/39*(-387)/2 composite?
True
Suppose -2*j = 3*j. Let p = j + 9. Is 2/3 + 1461/p prime?
True
Let u(o) = o**3 + 4*o**2 - 4*o + 2. Let a(g) = -g**3 - 4*g**2 + 5*g + 3. Let t be a(-5). Is u(t) prime?
True
Let v = 48 - -1069. Is v a prime number?
True
Let f = -9 - -41. Suppose 4*b = -5*p + f + 69, 0 = 4*b + 4*p - 104. Suppose 0*i + b = 5*t - i, -3*i + 21 = 3*t. Is t prime?
False
Suppose -4*k + 21 = -3*x, -3*k - 6 = 4*x + x. Suppose 246 = k*i - 0*i. Is i a composite number?
True
Let v be (-69)/9 + (-1)/3. Is (-287)/(-28) + 2/v a prime number?
False
Suppose -13*y + 9*y = -2348. Is y a prime number?
True
Let u(n) = n**3 - 4*n**2 - 15*n + 1. Is u(11) composite?
False
Suppose 2*a = s - 2*s + 1207, -4*s + a + 4819 = 0. Is s a prime number?
False
Suppose 0 = 4*z - 2*l - 18, 4*l = z - l + 9. Suppose 0 = 4*d - r + 21, 5*r - 45 = z*d - d. Is (-18)/d*6/9 composite?
False
Suppose 3*w = -4*c + 35, -3*c + w = 5*w - 21. Is c a prime number?
True
Suppose 8*a - 2*k - 30 = 3*a, a + 5*k + 21 = 0. Suppose -a = -2*u + 4. Is (5 - u)/(1/37) a composite number?
False
Let k(b) = 168*b**2 + 7*b. Let y(o) = o**2 + o. Let m(u) = k(u) - 6*y(u). Let n = -2 - -1. Is m(n) composit