 - 4. Let c(g) = -8*g + 12. Let q(w) = 11*b(w) + 4*c(w). Let l be q(-2). Suppose -6*p + l*p + 412 = 0. Is p a composite number?
False
Suppose n = d + 195, n - 4*d = 71 + 118. Suppose 3*o + 376 = -4*v, -v + 138 = -o + 4*v. Let q = o + n. Is q prime?
False
Let v(i) be the first derivative of -6*i**4 + 2*i**3/3 + 13*i**2/2 + 14*i - 56. Is v(-5) a prime number?
True
Suppose 5*k - 12696 = -2*a, 3*k = -2*a + a + 6347. Is a a composite number?
False
Suppose -5*w + 1859 = -1241. Suppose -5*h + 867 - 62 = 5*t, 4*h - 4*t = w. Suppose h = 3*l - 7. Is l composite?
True
Let z be (138/(-12))/(1/(-2)). Suppose 3*j + 4*n = -37, -6*n = j - 2*n + z. Let g = 14 + j. Is g prime?
True
Let t(i) = -5*i**3 - i**2. Let x be t(-1). Suppose x*b - 744 = 320. Suppose -5*v + 70 = n, 0 = -0*n + 5*n - 3*v - b. Is n a prime number?
False
Let s be 1769 + 3*(-12)/(-9). Let i = s - 1088. Is i a composite number?
True
Let y = 9002 + -5731. Is y a composite number?
False
Let o(s) = -39*s + 5. Let d(q) = -q + 1. Let t(y) = -4*d(y) + o(y). Is t(-6) prime?
True
Let g be -6 + 7 + (-4)/2. Let a be ((-18)/21)/(g/1400). Is a/21 + 3/(-21) a composite number?
True
Suppose 472*b - 37535 = 467*b. Is b a composite number?
False
Suppose -3*o - 15044 = -4*y, -2*o + 9556 + 9249 = 5*y. Is y a prime number?
True
Is 1/2*(4 - 4) + 9505 composite?
True
Let j(k) = 48*k**2 + 4 - 1 - 25*k + 27*k**2 + 32*k. Is j(-2) prime?
False
Suppose 2*y - 1 = 3*y + 2*t, y = -4*t - 3. Let z be 5 + -2 + -1 + y. Suppose -z*k - 21 = -90. Is k composite?
False
Let v be (-1828)/20 - 4/(-10). Let s = 239 + v. Is ((-1)/2)/(-1)*s composite?
True
Is 71522/2*(4 - 3) a composite number?
True
Is 3/4 - (-7 + (-75626)/8) composite?
False
Let f(z) = 327*z - 44. Is f(5) a composite number?
True
Suppose -8*b = -10*b + 8. Suppose -b*t = -2*k - 3220, 2*k - 3244 = -4*t - 2*k. Is t composite?
True
Suppose 0 = -3*w + 4*w - 2. Suppose 0 = -c - 2*d - 65, 2*c = 4*c - w*d + 124. Is (11*-1)/(9/c) prime?
False
Let z be (-2)/3*3*18/(-12). Suppose -z*i = 13*i - 53840. Is i a prime number?
False
Suppose -1105 = -4*b + 523. Suppose 2 = 2*z - 4. Suppose -b = -5*f + 4*r, z*r + 33 + 213 = 3*f. Is f a prime number?
True
Let x(l) = 2*l**3 - 21*l**2 + 11*l - 13. Let n be x(6). Let m = -69 - n. Is m a prime number?
False
Let n(o) = 5*o + 1. Let x(s) = -3*s - 1. Let t(u) = -5*n(u) - 8*x(u). Let q be t(-2). Suppose -78 = -q*b + 267. Is b prime?
False
Is (-9)/3 - (-5689 + (12 - 3)) a composite number?
True
Let t(x) = x**3 - 6*x**2 + x - 3. Let k be t(6). Let j(d) = 448*d - 1. Let n be j(k). Suppose -381 = -2*o + w + 155, 5*o - n = w. Is o a prime number?
True
Let l(w) = 420 + 42 - w + 23. Let d be l(0). Let m = d - 300. Is m a prime number?
False
Suppose 65*w - 31*w - 328066 = 0. Is w prime?
True
Suppose -2*m - 76 + 22 = -4*k, 0 = 3*k - 3*m - 39. Suppose -3*p + 6*o + 144 = 3*o, 5*p = -4*o + 195. Suppose -p = -3*r + k. Is r composite?
False
Suppose 2*p = -3*p + 105. Let l = p + -31. Let u = l - -155. Is u a prime number?
False
Suppose 9*j - 4*j - 20 = 0. Suppose j*i + 5 = -5*t, 11 - 38 = -4*t + 3*i. Is 176 + 0 + t + 0 a prime number?
True
Suppose -5*x - 4*t + 11 = 0, -4*x = -4*t - 10 - 6. Suppose -2*y - a + 175 = -145, 470 = x*y + 4*a. Suppose y = 3*w - 84. Is w composite?
True
Let i = 1862 + -1281. Suppose 5*z - 462 = -3*q, 4*q - 2*z - 3*z - i = 0. Is q composite?
False
Suppose 0 = 5*k - k - 768. Suppose f - 2*z = k, -f - 3*z - 22 = -204. Let t = f + 117. Is t a composite number?
True
Let y(m) = m - 17. Let p be y(11). Let o(n) = -n**3 - 5*n**2 + 5*n - 1. Let d be o(p). Suppose 4*g + d*w = 8*g - 2324, 2*g = w + 1162. Is g composite?
True
Let s(k) = 119*k - 377. Is s(36) a prime number?
True
Let d(u) = 3*u**2 - 23*u + 15. Is d(-17) composite?
True
Let b(q) = q + 1. Let i(h) = 4*h. Let g(n) = -3*b(n) + i(n). Let y be g(5). Suppose y*m + 3*k = 32, 3*m - 4*k - 104 = -m. Is m a prime number?
False
Suppose 3*h - 3*d = 3366, 2*h - 2111 = 4*d + 125. Let a = 673 - 326. Suppose 3*y - a = h. Is y a composite number?
False
Suppose -2*w + 118 = -116. Let n = 356 - w. Is n prime?
True
Suppose -9*k + 12*k = 12. Is 239*(k - 3)*(-3)/(-3) a prime number?
True
Suppose 6 + 3 = -3*u, 21 = 3*q - 2*u. Suppose -1 + q = 2*f. Suppose f*l - 105 = -l. Is l composite?
True
Let b be (-4)/(-6) - (-20)/45*3. Suppose 2*q - 3*y + 454 - 1412 = 0, -b*y = 0. Is q a prime number?
True
Is ((-1)/((-7)/7))/((-3)/(-282)) a prime number?
False
Suppose 9*u = 8*u + 95. Is 7/((-38)/u + 4926/12290) composite?
True
Let s(j) = 20*j + 5. Let p(d) = d**3 - 3*d**2 - 2*d. Let r be p(2). Let q be s(r). Is q/(-2) - (-6)/4 a composite number?
False
Is -18041*2/(-4)*10 a composite number?
True
Let j(l) = -l**2 + 5*l + 8. Let z be j(6). Suppose -3*n = -3*g, g - 10*n + 7*n = -8. Suppose 324 = z*o + s, -2*o - g*s + 328 = -s. Is o prime?
False
Let h be -1 - -1 - (-2818 + -4). Suppose 4*z = h - 154. Is z a prime number?
False
Let m = 3620 + 933. Is m composite?
True
Suppose -6*d = -87362 - 17464. Is d composite?
False
Suppose 0 = -33*u + 2719711 - 353644. Is u composite?
False
Suppose w = -4*b + 12, 17 = w + 5*b + 5. Is (14 - 17)*(-2402)/w*2 a prime number?
True
Let k(j) = j**2 + 5*j - 6. Let d be k(3). Suppose -5*x + 55 - 274 = -4*t, -2*t + 2*x = -108. Let u = t - d. Is u composite?
True
Let k(j) = -165*j**2 - 2*j - 2. Let g(q) = -495*q**2 - 5*q - 5. Let n(m) = -3*g(m) + 8*k(m). Let i be n(-1). Let r = i - -92. Is r a prime number?
True
Suppose -8*u + 5 = -3*u. Let q(a) = -174*a - 1. Let t be q(u). Let v = -93 - t. Is v a prime number?
False
Suppose 63 = 5*z + 2*n, -4*n = -z + 3*z - 38. Let m(b) = b**3 - 10*b**2 + 5*b - 9. Is m(z) composite?
False
Let q be -8 - (-3)/(3/4). Is 3 + q + (318 - 0) a composite number?
False
Let j = -7 + -4. Let r(b) = 8*b**2 + 8*b + 9. Is r(j) prime?
False
Let t(r) = -r**3 + 3*r**2 - r + 1. Let i be t(2). Let x(m) = 93*m**3 - 2*m**2 + 8*m - 4. Is x(i) composite?
True
Let i = 136 - -1228. Suppose 2*v + 3*d = v + i, -4*d = -4*v + 5440. Is v prime?
True
Let p(y) = -13475*y - 29. Is p(-2) a composite number?
False
Suppose -75 + 1026 = 3*a. Is a a composite number?
False
Let s = -35 - -16. Let q = 2072 + s. Is q prime?
True
Let f(o) = -54*o**2 + 8*o + 26. Let p be f(-12). Is (-10)/(-25) - p/10 prime?
False
Suppose -3*w + 8941 = 3*h - w, -5958 = -2*h - 4*w. Suppose 0 = -5*q + 3294 + h. Is q composite?
True
Suppose 0 = -12*f - 3*f + 43515. Is f prime?
False
Let m(o) = -33*o**2 + 44*o - 4. Let p be m(12). Let r = p + 7121. Is r a composite number?
True
Let j = -56 - -49. Is (-2919)/(-3) + 14/j composite?
False
Let h(c) = -c**2 + 1. Let o(t) = 30*t**2 + 4*t. Let u(q) = 2*h(q) + o(q). Let d = 16 - 18. Is u(d) a composite number?
True
Let s = 10 - 7. Let g(c) = 0*c + c**3 - 4*c + 5*c**2 + 2*c - s*c. Is g(-5) a composite number?
True
Suppose -160298 = -42*s + 452860. Is s prime?
False
Let q = 33611 - 16840. Is q a prime number?
False
Suppose 0 = -4*g + 4*r + 21080, r = -0*g + 4*g - 21077. Is g a composite number?
True
Let a(h) = 254*h + 367. Is a(56) prime?
True
Let p = 26 + -24. Let j = 15 - 10. Suppose j*v - 48 = -a, -3*a + p*a = -4*v - 39. Is a prime?
True
Let m = -2672 + 7767. Is m composite?
True
Let b(w) be the second derivative of w**4/6 + w**3/3 + 3*w**2 + 5*w. Let k be b(-4). Suppose 3*n - 363 - k = 0. Is n prime?
True
Suppose 5*d - 13 = -5*s + 12, 3*d + 2*s = 10. Suppose d = 2*q - x - 357, x = -4*q - x + 710. Is q composite?
True
Let b(q) = -24*q**3 - 19*q**2 + q + 41. Let i(o) = -5*o**3 - 4*o**2 + 8. Let p(z) = -2*b(z) + 11*i(z). Is p(-7) composite?
True
Let f(u) be the third derivative of 0*u - 1/120*u**6 + 11/6*u**3 + 0 - 7*u**2 - 17/24*u**4 + 7/30*u**5. Is f(11) composite?
True
Suppose o - 4*h = 66927, 7*o = 10*o - 6*h - 200769. Is o a prime number?
True
Let i(g) = g**3 - 9*g**2 - 7*g + 8. Let d be i(10). Suppose -j = -24 - d. Let n = 281 - j. Is n prime?
False
Suppose 0 = d - 4 + 1. Suppose 4*f = 3*k + 365, -f + 2*k = d*f - 370. Is f prime?
False
Let c(r) be the second derivative of -r**3/6 + 2*r**2 + 9*r. Let d be c(3). Is -2 - (d + 2 - 72) prime?
True
Let y(s) = 1157*s - 439. Is y(9) a prime number?
False
Suppose 7*k = 3*k + 1596. Let h = k + 758. Is h composite?
True
Let r(l) = 2*l + 18. Suppose -3*a = -4 + 28. Let p be r(a). Suppose p*k = 8*k - 2478. Is k prime?
False
Suppose -3