(f) = f**3 + 3*f**2 + 2*f + 2. Let q = -5 - -3. Let z be p(q). Suppose -37 = z*c - 143. Is c a composite number?
False
Suppose n + 4*z - 126 - 48 = 0, -3*z + 9 = 0. Suppose 0 = -5*q - 11 + 36, -3*q = 3*s - n. Is s prime?
False
Let i = 3139 - 1604. Is i composite?
True
Suppose 4*h = 3*s - 3023, h - 1 = -0. Is s composite?
False
Let m(w) = w**3 + 12*w**2 - 4*w - 1. Is m(6) a composite number?
True
Let t be -3*(2 - 3) + 60. Suppose 4*v - 3*h - 274 = 0, -5*v + t = -4*v + 2*h. Is v prime?
True
Suppose -2*w - 3*w = -25. Let m(s) = 6*s - 4. Let u be m(w). Is (1 - (-3)/(-6))*u a prime number?
True
Let o be -31 - (-2 - (-3 + 2)). Let k = 63 + o. Is k a prime number?
False
Is (482 - -4) + -1 - 0 composite?
True
Is (5/15)/(1/3873) a composite number?
False
Let f be 4*1*(0 - -1). Suppose 3*n = -2*p + 59, -2*p - f*n = -7*p + 90. Is p prime?
False
Suppose -4*g + 480 = -264. Suppose -5*c + g = -199. Is c prime?
False
Let q(n) = -2*n**2 + 5*n - 4. Let p be q(3). Let w(i) = 4*i**2 + 5*i - 4. Is w(p) prime?
True
Is (-7*(-1)/4)/((-2)/(-136)) composite?
True
Suppose 2*c - 1353 = a, 2*c - 5*a - 3380 = -3*c. Is c a composite number?
False
Let o(g) be the second derivative of -2*g + 0 - 2/3*g**3 - 5/2*g**2 + 1/3*g**4. Is o(-5) composite?
True
Let v(j) = j**2 + 3*j + 1. Let f be v(-4). Let l be f - (-2 + (2 - -3)). Suppose -l*y + 92 = -2*a, y + a - 40 = 4*a. Is y a composite number?
True
Suppose c = 6*c - 645. Suppose 4*g - c = 635. Is g a composite number?
False
Suppose 2*m + 23 = -5*g - 22, -2*m - 31 = 3*g. Let k = 13 + g. Is (26/k)/(2/6) composite?
False
Let p(h) = -3*h + 749. Is p(0) prime?
False
Let s(k) = 6 + 0*k + 4*k**2 - k - 4*k + k**3. Let g be s(-5). Is ((-8)/6)/(g/(-45)) composite?
True
Let m(d) = 2*d**2 - 3*d + 3. Let c be m(2). Suppose -5*f + a + 11 = 0, c*f + a = 5 + 4. Is (-186)/(-9)*3/f prime?
True
Is -13*(0 - (-2 - -3)) a prime number?
True
Let k(o) = 7*o**3 - 2*o**2 + 4*o - 3. Is k(2) prime?
True
Let s(f) = -2*f - 6*f**3 + 1 + 6*f**3 + 3*f**2 + 17*f**3. Is s(2) a composite number?
True
Suppose 2*o - 3*o - 1 = 4*j, 0 = 5*o - j + 47. Is 329/(-2)*(o + 7) prime?
False
Suppose n + v - 8 = 0, -6 = 3*n - 5*v - 22. Let p = -28 - n. Let h = 62 - p. Is h composite?
False
Suppose -7*w = -4*w + 12. Let v = -1 - w. Suppose -v*a - 15 = -114. Is a composite?
True
Is 6/30 + (-1902)/(-15) composite?
False
Suppose -q = -1148 - 1311. Is q a composite number?
False
Suppose -2361 = -3*g - q - 202, 3*q = 4*g - 2870. Is g a prime number?
True
Suppose -4*r + k = -2714, 2*r + 5*k = -0*k + 1368. Is r a prime number?
False
Suppose -3*m = -4*b - 5, -3*b + 3*m = -b + 1. Is 1/(2*b/(-764)) a prime number?
True
Let o = 0 + -2. Let r = 75 - o. Is -1 - ((-1 - r) + 0) composite?
True
Let b = 0 - -2. Let h(j) = j**2 - 7*j + 6. Let s be h(6). Suppose 4*g + 323 = -b*z + 7*z, s = z - 4*g - 55. Is z a composite number?
False
Suppose -4*c - 1 = -9. Suppose -c*k = -3*i + 6 + 3, -2*i + 10 = 0. Suppose 5*t - k*t - 3*d - 112 = 0, 4*t + 5*d - 202 = 0. Is t prime?
True
Suppose 3*q - 2245 = -2*g, 4*g - 5*q + 3*q = 4450. Is g a composite number?
True
Let b = 119 + -84. Is b a prime number?
False
Let b = 952 - -741. Is b prime?
True
Suppose -2*g = -m - 2, 2*m - 55 = -5*g - 14. Let x = m + -2. Is x a prime number?
False
Suppose v + 1 = -z, -3*v = -4*v - 4*z - 10. Suppose 3*g = -g - 3*n + 320, -v*n + 75 = g. Is g a composite number?
False
Suppose -2*s = -2*t + t + 122, -2*t - 3*s = -209. Suppose 3*v + 76 = 2*z, 2*v + 2*v - t = -4*z. Suppose -g = -6*g - 3*a + z, g - a = 8. Is g prime?
True
Suppose 1 = -a - 1. Let l be (-8)/(-6)*(-3)/a. Suppose l*u = -3*u + 335. Is u a composite number?
False
Is (-4060)/(-7) + 5 + -2 prime?
False
Let f(t) = 3*t**2 + 4*t - 5. Let v(o) = 4*o**2. Let r be v(1). Let q be f(r). Suppose 4*i - 164 = 4*m, 4*i + 2*m - q - 81 = 0. Is i composite?
False
Is (-2)/9 + (-8750)/(-9) + -1 prime?
True
Let b be -91 + (-3 - -2) + -1. Is -1*(-3)/(-9)*b composite?
False
Let h = -540 - -1084. Let x be h/18 + (-8)/36. Let g = x + 7. Is g composite?
False
Suppose 2*b + 6094 = 3*r + 441, -4*r + 7542 = -5*b. Is r prime?
False
Suppose v = 4*v - 12. Is 1310/(-25)*(-10)/v prime?
True
Let l(a) = 13*a**2 + 7*a + 5. Is l(-6) a prime number?
True
Suppose 0 = 2*z - 4*f + 18, f + 8 = 4*z + 4*f. Is ((-12)/2 + z)/(-1) a prime number?
True
Suppose 4*w + 2532 = 524. Is (w/4)/(3/(-6)) prime?
True
Let n be (-3)/6 - 17/(-2). Let i be ((-131)/(-2))/(n/16). Suppose -i = -3*l + 10. Is l a prime number?
True
Is ((-12166)/66)/(1/(-3)) prime?
False
Suppose 5*t - t + 17 = -5*n, 0 = 2*t - n + 19. Let y be 14/4 + 4/t. Suppose 0*q + y*q = 171. Is q prime?
False
Let y(s) = -5*s**2 + 2*s. Let t be y(5). Let u = -80 - t. Is u prime?
False
Let a = 117 + 16. Is a composite?
True
Is ((-6)/9)/(2/(-9663)) prime?
True
Let j be 2/6 + (-1018)/(-6). Let w = -81 + j. Is w composite?
False
Suppose -3*i = -i - 238. Suppose -25 = 3*w - k - i, 3*w - 2*k = 95. Is w a composite number?
False
Suppose 0 = -4*h + 4 + 4. Suppose -4*x - x - 2*f - 4 = 0, 6 = h*x - 3*f. Suppose 62 = -x*l + 2*l. Is l composite?
False
Suppose -5*v + 8574 = -4046. Let z be v/14 + 4/(-14). Let u = z + -101. Is u a composite number?
False
Suppose 0 = -11*m + 16*m - 955. Let v = m - 52. Is v a prime number?
True
Let m(c) = 4*c + 6*c + 39*c - 1. Is m(2) a composite number?
False
Let q = -449 + 2736. Is q composite?
False
Suppose -5*y = -5*u, 5 = 4*y - 3*u - 2*u. Let m be y - (-2 - 0/3). Is ((-7)/2)/(m/6) a composite number?
False
Suppose 4*m = -2*s - 36, -3*s = m - 19 + 48. Let x = 228 - s. Suppose 6*r - x = 2*r. Is r prime?
True
Let u(b) = -b**2 + 13*b - 11. Let a be u(12). Let k(w) = -a + 6 + 3 + w**2. Is k(-9) composite?
False
Suppose -5*s + 30 = 3*y + 2*y, -4*s + 32 = 5*y. Suppose -h = 2*d - 2*h + 8, 0 = 2*d + 3*h - y. Is 68 + d*(-1)/2 composite?
True
Suppose -3*k = -0*i - 5*i - 1466, -k + 489 = -2*i. Is k a prime number?
True
Suppose -4*w + 2*w = 66. Let g = 76 - w. Is g a prime number?
True
Suppose -5*h = -3*o - 278, -2*h = 2*h - o - 221. Is h composite?
True
Let b(w) = -w**3 - 6*w**2 - 6*w + 2. Let q be b(-5). Let i be (-2)/q - (-108)/(-14). Let n(u) = -u**3 - 8*u**2 - 3*u - 5. Is n(i) composite?
False
Let j be 16/10*(6 - 1). Suppose j*y = 3*y - m + 5, y = 5*m + 27. Suppose -3*k = -y*k - 35. Is k a prime number?
False
Let b = 305 - -104. Is b prime?
True
Let u(l) be the third derivative of -2*l**2 + 1/24*l**4 + 0*l + 32/15*l**5 + 0*l**3 + 0. Is u(-1) a composite number?
False
Suppose 5*m - 1361 = 4*m. Is m a prime number?
True
Suppose -500 = -5*k + 1155. Is k prime?
True
Suppose 25*i - 42258 = 19*i. Is i a prime number?
True
Let y(l) = 2*l**2 + l + 4. Let b be y(3). Suppose 4*n - 8*n - 46 = 3*d, 2*d - 3*n + 25 = 0. Let x = d + b. Is x a composite number?
False
Let h(n) be the second derivative of n**5/20 + n**4/2 - 5*n**3/6 - 2*n**2 + 11*n. Suppose x = 4*x - 3*z + 21, 5*z + 7 = -2*x. Is h(x) a composite number?
True
Let r(w) = -24*w + 19. Is r(-6) a prime number?
True
Suppose 0 = -3*j + 2*v - 3*v + 323, 2*j + v - 216 = 0. Let b = j + -74. Suppose 4*q - q = b. Is q composite?
False
Let b(m) = -3*m**2 - 4 + 2*m**2 + m**3 + 5 - 2*m. Let d be b(-2). Is (0 - (d - -2)) + 1 a composite number?
True
Let t = -9 - -15. Let o(q) = -2*q - 1 - 3*q + 6*q + 5. Is o(t) composite?
True
Suppose 5*z + 183 = 4*t, z = -2*z - 5*t - 95. Is z*(1 - 16/10) a prime number?
False
Let j = -4 + 1. Let n = 8 - j. Is n composite?
False
Suppose 3*x - 446 = -5*w, -4*x - 134 = -3*w + 151. Let h = -26 + w. Is h a prime number?
False
Suppose -w - w = -4. Let p = 6 - 4. Suppose p*d = 20 - w. Is d composite?
True
Suppose 4*p = -0*z + 3*z + 17, -2*z - 6 = 0. Let o = p + 31. Is o prime?
False
Let i(k) = k**2 - 6*k - 7. Let h be i(8). Let s = h + 12. Is s composite?
True
Suppose 15*u - 11*u - 16 = 0. Suppose 4*b = u*w - b - 1258, -2*b = -5*w + 1581. Is w a prime number?
True
Let p(w) = w**3 + w**2 - w + 71. Is p(0) a prime number?
True
Let i(m) = 460*m - 1. Is i(2) a prime number?
True
Let s be (3 - -12)/(-1) + 0. Let h = s + 160. Is h composite?
True
Is (-12 - -9)/((-9)/3261) a composite number?
False
Let n be (-2)/(-9) - 20/9. Is (1*86/n)/(-1) composite?
False
Let c(q) = 52*q. Let l be c(-4). Let h = l - -459. Is h a prime number?
True
Suppose 24*v - 4316 - 58828 = 0. Is v composite?
True
Suppose