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Let f(z) = z - 3. Let u be f(6). Suppose -u*r = -0*r + p - 4, -5*r + 14 = -2*p. Suppose b = 2*x + r*b - 254, 0 = -3*x - b + 381. Is x prime?
True
Let a be 32/12 + (-1)/(-3). Suppose 4*v - 2*v = -w + 45, -w - a*v = -50. Suppose -4*q + w = q. Is q composite?
False
Is (-10)/(-90) - (-25468)/18 a composite number?
True
Suppose 2*p + 2*t - 4592 = -1076, p - 2*t - 1755 = 0. Is p composite?
True
Let x(j) = -74*j - 3. Is x(-4) prime?
True
Suppose 4*x = 5*x - 37. Is x a composite number?
False
Let y be (-42)/(-4) + (-2)/(-4). Let v = y + -6. Suppose -125 = -v*c - 4*l, -c + 3*l = c - 27. Is c a prime number?
False
Let u(t) = -8*t**2 - t - 6. Let s(q) = -9*q**2 - q - 7. Let k(c) = 2*s(c) - 3*u(c). Let p be k(5). Suppose 4*d - 7*d = -p. Is d a prime number?
True
Let f = 764 - 447. Is f composite?
False
Let i(q) = -861*q - 94. Is i(-15) a composite number?
False
Let d(h) = -672*h**3 + 1. Is d(-1) a prime number?
True
Let l = -6583 - -10176. Is l a prime number?
True
Let c be 6/(-27) + (-1354)/(-18). Suppose t + c = 340. Is t composite?
True
Suppose 5*d - t + 38 = 0, -5*d - 6*t - 23 = -2*t. Let a = d - -10. Is a a composite number?
False
Let i be 0 - (4/(-2) - -3). Is i/((-1960)/652 - -3) composite?
False
Let n = 10 - 12. Let t(x) = 5*x**3 - 5*x**2 + 15*x + 17. Let g(c) = 2*c**3 - 3*c**2 + 8*c + 9. Let l(m) = 11*g(m) - 6*t(m). Is l(n) composite?
False
Let u(c) = -6*c - 5. Is u(-16) prime?
False
Let u(q) = -8*q + 0*q**2 + 7*q + 0*q + 10 + 2*q**2. Is u(-7) a composite number?
True
Let k = -413 - -892. Is k a prime number?
True
Let o(r) = r**2 - 4*r - 3. Let h be o(5). Suppose 2*l - f = 175, -2*l + 134 + 39 = f. Suppose -2*z = -4*q - z + l, h*q = -5*z + 71. Is q composite?
False
Suppose y - 4 = -1. Suppose 0*i + i - 37 = -2*n, -y*n - 102 = -3*i. Is i composite?
True
Suppose 0 = 4*i - 3*r + 4*r - 28, 0 = 4*i + 2*r - 32. Suppose -2*j + i*j - 3*u = 123, -4*j - 3*u + 141 = 0. Is j a prime number?
False
Let q(u) = -u**2 + 13*u - 3. Let z be (-2 - -5)/(1 - 0). Suppose 20 = 3*p - n, z*p = p + n + 12. Is q(p) a prime number?
True
Suppose 3*v + 0*w = -3*w - 255, -8 = -2*w. Let o = 136 + v. Suppose -4*p - 3*y + 17 = -o, 69 = 3*p - 3*y. Is p a composite number?
False
Suppose -5*t = -3*t - 2018. Is t a prime number?
True
Suppose 3*i + 310 = 1435. Suppose -7*f + 2*f = 5*o - i, -12 = 4*f. Suppose -3*v + 3*a = -o, -5*a - 64 = 3*v - 5*v. Is v composite?
True
Suppose 74 = 16*g - 14*g. Is g prime?
True
Let c = 326 + -150. Let f = c + -250. Is (-1 + 2)/((-1)/f) prime?
False
Let y = 63 + 35. Is 2 + y*1/2 prime?
False
Let l(d) be the third derivative of d**4/3 - 5*d**3/6 - 4*d**2. Let j(p) = -p. Let u(o) = 3*j(o) - l(o). Is u(-10) a composite number?
True
Is (4 + 0)*(-38)/(-8) composite?
False
Let h = -5 + 9. Suppose 0 = 5*o - b - 1256, b = -h*o + 6*b + 1009. Is o prime?
True
Let x(f) be the third derivative of -f**5/60 + 5*f**4/24 + f**2. Let m be x(4). Suppose m*t - 36 = z + 20, -5*z = 3*t - 19. Is t composite?
False
Let b be 12*(2 + (-12)/9). Suppose -4*s = -b, -2*q + 5*s + 167 = -101. Is q composite?
False
Suppose -y = 3*g + 13, y + y = -g - 6. Is -2 + y - -6*4 a prime number?
False
Suppose -6*y + 815 = -y. Suppose y + 74 = 3*l. Is l composite?
False
Is (-6370)/(-4) + 8/(16/(-3)) a composite number?
True
Let n be (-2)/(-6) - (-370)/(-30). Is 3/(-2)*472/n a prime number?
True
Let z(w) be the third derivative of -37*w**4/8 - w**3/6 + 4*w**2. Is z(-2) a composite number?
True
Suppose 2*r = -2*r - 4*c + 168, -4*r = 3*c - 167. Suppose i - r = -7. Is i a prime number?
False
Suppose -29 = -n + 4*f, -3*n + 35 = -0*n + f. Let j = -95 + 134. Let s = j - n. Is s prime?
False
Let s = 1024 - 371. Is s prime?
True
Is -3 + (-7)/(14/(-1472)) a composite number?
False
Let f(h) = -h**3 + 29*h**2 - 18*h + 19. Is f(14) a composite number?
False
Suppose -2*u + 2*n + 2738 = 674, -3*n = 5*u - 5152. Is u a composite number?
False
Let o(b) = b**3 - 4*b**2 - 6*b + 8. Let l be o(7). Suppose -4*s + s + r + l = 0, 0 = 3*s - 3*r - 117. Is s a prime number?
True
Suppose v - 1115 = -4*v. Suppose -5*u - t + 6 = 0, -4*t - 21 + 5 = 0. Suppose d + v = u*d. Is d prime?
True
Suppose -r - 7 = -2*d, 5*r + 2*d = -0 + 1. Let x be r/(-3) + (-14)/(-3). Suppose 2*j + x*g - 260 = 54, -4*j - 2*g = -628. Is j prime?
True
Let h = 177 - 31. Is h a prime number?
False
Let s(t) = 2*t + 1. Let o(u) = -u**3 + 6*u**2 + 7*u + 1. Let p be o(7). Let l be s(p). Is l + (0 - 1) + 0 a prime number?
True
Let g = -16 + 10. Let l = g + 11. Suppose -l*i + 29 = 5*j - 91, 3*i - 4*j - 51 = 0. Is i composite?
True
Let w(g) = 9*g**2 - 2*g**2 - 1 + 1. Is w(-1) composite?
False
Let z = 1501 - 140. Is z a prime number?
True
Let d be 1/(-2) - 20/(-8). Let v(y) = -4*y**2 + 1. Let i be v(d). Is (-4959)/i - 2/(-5) composite?
False
Let l(g) = 2*g - 3*g + 3*g + 1 + 38*g**2. Is l(-1) a composite number?
False
Let k(f) = f**3 - 11*f**2 + 3*f - 2. Is k(11) a prime number?
True
Suppose -25*q = -24*q - 1273. Is q prime?
False
Let b(n) be the first derivative of -15*n**4/4 + n**2/2 - 1. Let x(h) = -h**3 - 9*h**2 + 8*h - 21. Let w be x(-10). Is b(w) a prime number?
False
Is -2 + 955*(0 - -1) a composite number?
False
Let b be ((-258)/4)/((-2)/(-4)). Suppose -23*j + 360 = -27*j. Let y = j - b. Is y composite?
True
Let n = 0 + 6. Let t = n + 4. Is t prime?
False
Suppose -3*v + u = -v - 444, 3*v - 2*u - 665 = 0. Is v a composite number?
False
Let p be (6/(-4))/(-3)*22. Let o = -7 + p. Suppose 2*u = 6*u - o*r - 48, -4*r = -3*u + 37. Is u a prime number?
True
Let q(j) = j**2 - 8*j + 3. Let p be q(7). Let o be 3/(-12) - 17/p. Suppose -h - 2*h = -9, -h = o*r - 159. Is r prime?
False
Suppose -5 - 9 = -2*g. Suppose 1570 = -g*o + 12*o. Is o a prime number?
False
Suppose -d + 2*i + 7 = 3*i, -4*d + 5*i - 8 = 0. Suppose -2*x - 461 = -d*x. Suppose 4*a - 3*c = x, -4*a + 3*c = -c - 456. Is a composite?
True
Let g = 8 - 9. Is 44*2 - (-1)/g a prime number?
False
Suppose 0*n = -n. Suppose n = -l - 1. Let j = l - -4. Is j a prime number?
True
Let b = -758 - -1441. Let v = -4 + b. Is v a prime number?
False
Let o(n) = n**3 - 5*n**2 - 4. Let z be o(5). Is -3 + (12 - z/(-2)) a composite number?
False
Let h be (-1 - 1)/((-2)/(-4)). Let b(t) be the second derivative of -2*t**3 + 5*t**2/2 - 12*t. Is b(h) a composite number?
False
Let m(b) = -b - 3. Let t be m(-3). Suppose t*l - 4 = -l. Suppose x = l*h + 30, 3*x + 4*h - 29 = 45. Is x prime?
False
Let b be (-7)/21 + (-20)/(-6). Let p be ((-2)/(-4))/(b/1308). Suppose 251 = 2*r + 5*l, -4*l = -5*r + p + 459. Is r composite?
True
Let y(i) = 55*i - 29*i + 1 - 35*i. Suppose 2*x - 6*x - 4 = 0. Is y(x) composite?
True
Let a(k) = -k + 2393. Is a(0) composite?
False
Let c(l) = 2*l**2 + 18*l + 9. Is c(-14) composite?
False
Suppose -1862 = -2*u + 5*c, 5*u = 6*u + 5*c - 961. Is u composite?
False
Let k = -1317 - -2432. Is k prime?
False
Let j(q) = 2*q**2 - 3 + 2 - 4*q**2 + 3*q**2. Is j(4) a composite number?
True
Let v(y) = -3*y**3 + 3*y**2 - 4*y + 1. Suppose 4*p + 3*j = 0, -16 + 5 = p - 2*j. Is v(p) prime?
False
Suppose 3*o = 16 - 4. Suppose 0 = o*j - 3*j - 2. Suppose -4*g = -i + 2*i - 341, -j*g - 3*i = -163. Is g a prime number?
False
Suppose -2*t - 3 + 1 = 0. Let a(z) be the first derivative of -17*z**4 - 2*z**3/3 - z**2 - z - 6. Is a(t) composite?
False
Let p(x) = x + 8. Let w be p(-5). Suppose -5 + 1 = -4*j. Is w/(((-2)/(-74))/j) a composite number?
True
Suppose 0*k = k - 25. Is k a prime number?
False
Let w(a) = a + 1 + 0 + 1. Let k be w(-5). Is 830/15 - (-1)/k composite?
True
Let z(r) = -351*r. Let n be z(-2). Let c = 993 - n. Is c*(-3)/27*-3 prime?
True
Suppose 5*z - 75 = -3*c + 2*c, 4*c - 400 = 5*z. Is c composite?
True
Let h(k) be the first derivative of k**3 - 5*k**2 + 7*k - 1. Suppose -3*f + p = -18, -5*f + 0*p = -2*p - 30. Is h(f) prime?
False
Let r = 21 + -18. Suppose -268 = -r*z + 86. Is z a composite number?
True
Let s(r) be the third derivative of r**5/30 - r**4/24 + r**3/6 - 2*r**2. Let h be s(1). Is -2 + h - (-21)/3 prime?
True
Let h(x) be the second derivative of x**6/120 - x**5/20 - x**4/6 + 7*x**3/6 - x**2 - x. Let k(l) be the first derivative of h(l). Is k(5) prime?
True
Suppose -3*f + 30 = 111. Is 136/36 - 6/f a composite number?
True
Let j = -2 - -2. Suppose 3*z + 0*z = q + 268, j = -2*q + 10. Is z composite?
True
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