ime number?
True
Suppose -4*l = -5*w + 51 - 7, 3*l - 29 = -4*w. Let d(k) = 7*k**2 - 11*k - 5. Let z be d(w). Suppose -o = -5*r - 19 - 23, 5*o + 4*r - z = 0. Is o a prime number?
True
Suppose 2*n = -4*r, 7*r - 2*r = -5*n - 25. Let k(f) = -f - 12. Let b(o) = o + 11. Let h(m) = -4*b(m) - 5*k(m). Is h(n) composite?
True
Suppose q = -3*q + 3132. Let p = q + -314. Is p a prime number?
False
Suppose -4*k + 4*g = g, -3*k + g = 0. Suppose f + k*s - 55 = 4*s, -4 = s. Is f a prime number?
False
Let t(v) = 51*v + 5. Let q be t(-4). Let k = 43 - q. Suppose 5*n - 83 - k = 0. Is n a composite number?
True
Let h(u) = -u**2 + u + 246. Let w be h(0). Suppose 0 = -6*s + 3*s + w. Suppose -66 = -4*t + s. Is t a prime number?
True
Let f(i) = i**3 - 3*i**2 + 8*i + 5. Is f(6) a composite number?
True
Suppose 3*u = -4*s + 2*u + 20, 0 = 3*s - 2*u - 4. Let v = s + 8. Let p = v + -6. Is p a composite number?
True
Suppose -9*h + 3717 = -2592. Is h prime?
True
Let l(w) be the first derivative of -w**6/20 - w**5/30 + w**4/12 + w**3/6 + w**2 - 2. Let n(t) be the second derivative of l(t). Is n(-2) composite?
False
Suppose -2*j - 2*j - 3800 = 0. Let h = j + 446. Is 2/(h/(-249) - 2) prime?
True
Suppose -a + 2697 = 3*a + z, -5*a - 4*z = -3385. Is a a composite number?
False
Let r = -4 + 7. Suppose 3*k - 2*u + r*u - 366 = 0, 5*u = -3*k + 354. Is k prime?
False
Is (-1137)/(-3)*((4 - 3) + 0) composite?
False
Suppose 10 + 304 = 2*a + 2*c, 2*a - 324 = 3*c. Suppose 0 = m + 2*r - 47, -3*m + 2*r = -r - a. Is m a prime number?
False
Let y(g) = -g**2 - 6. Let m be y(0). Let j(b) = -58*b - 1. Is j(m) composite?
False
Let c(a) = a**3 + a**2 - a + 2. Let l be c(0). Suppose -5 = -l*p + 65. Is p composite?
True
Let j(u) = 2*u**2 + 17*u + 2. Is j(-13) composite?
True
Let x(w) = 35*w - 4. Let m be 2 - (-2 - -3)*-1. Let q be x(m). Let v = q - 52. Is v a composite number?
True
Let l(m) = m**3 + 6*m**2 + 4*m + 2. Let k(t) = 2*t + 5. Let y be k(-5). Is l(y) a prime number?
True
Let l = 3962 - 2745. Is l a prime number?
True
Is 2 - (-3 - (30 - 2)) composite?
True
Let r(d) = -78*d - 3. Let a be r(-3). Suppose -4*j - 132 = 52. Let w = j + a. Is w a prime number?
False
Let h = 0 - 3. Let p = h + -1. Is 2/(0 + p/(-262)) composite?
False
Suppose 4*y + y - 2035 = 0. Is y composite?
True
Let c = -762 - -1101. Is c a composite number?
True
Let w(x) = 49*x - 6. Let g be w(4). Let a = g - 124. Let d = 17 + a. Is d composite?
False
Suppose 0 = 5*g - 9*g + 10436. Is g a prime number?
True
Suppose 3*v + 0*v - 2*t = 1361, 939 = 2*v + 5*t. Is v prime?
True
Let x = -5 - -7. Let q = x + 0. Suppose -5*r = 3*v - 16, 0 = 4*v + v - 4*r - q. Is v a prime number?
True
Suppose 0 = 5*r - 9*r + 8. Suppose 5*b + k - 32 = 0, r*k + 22 = b - 3*k. Is b composite?
False
Suppose 3*k + k = 292. Suppose 3*b + 2*s = 279, -397 = -5*b - 5*s + k. Is b prime?
False
Let w(k) = -k - 2. Let p(u) = 1. Let m(r) = 2*p(r) + w(r). Let b be m(-5). Suppose 3*s = b*j - 83, 3*j - s = 44 + 9. Is j prime?
True
Is 22*4/8*37 prime?
False
Suppose -4*x + 24 = -2*l, -3*x + 39 = -2*l - l. Let w(m) = m**3 + 13*m**2 - 16*m - 7. Is w(l) a composite number?
True
Let z(u) = 144*u**3 + 2*u**2 - u. Suppose l - 2 + 10 = -3*t, -3*l + 2*t + 9 = 0. Is z(l) a prime number?
False
Let s be (-1 - 2) + (-6 - -1). Let w(a) = 15*a**2 - 2*a + 1. Let i be w(2). Let y = s + i. Is y a prime number?
False
Let y(u) = -4*u**3 + 2*u**2 - 1. Let o be y(-1). Let c(m) = 6*m + o - 3*m + 4*m - 2*m. Is c(4) a prime number?
False
Let r(j) = -11*j - 1. Suppose -3*p + 6*p = -6. Is r(p) a composite number?
True
Suppose 5*f + 30 = -3*k + k, -3*f + 5*k = 18. Let c = 10 + f. Suppose 0*s = -4*g - s + 303, -174 = -2*g + c*s. Is g prime?
False
Let l(c) = -c + 1. Let z be l(-2). Is z/(-4) + (-248)/(-32) composite?
False
Let r = 3 + -5. Is (-5)/((-15)/288) + r a prime number?
False
Suppose -3*r - 188 = -2*d - 2*d, 0 = 4*d - 4*r - 184. Suppose -2*t - 3*t = -d. Is t a composite number?
True
Suppose 313 = 4*w - 111. Suppose w + 48 = 2*n. Is n a composite number?
True
Suppose 0 = 5*k - 631 - 1944. Is k composite?
True
Suppose 0 = 5*x, 0 = 2*p - x - 4*x + 2. Let j be (-1 + -2)/(p - 0). Suppose -4*u + j*u = -149. Is u composite?
False
Let f(r) be the third derivative of 2*r**2 + 0 - 5/6*r**3 - 1/4*r**4 + 0*r. Is f(-4) a composite number?
False
Let g(x) = 2*x**2 - 17*x - 7. Let q(t) = t**2 - 9*t - 3. Suppose -5 = 5*h + 15. Let b(v) = h*g(v) + 7*q(v). Is b(5) a composite number?
False
Is 97 + -3 + 1 - 0 composite?
True
Suppose -3*n - 62 = 10. Let j = 25 + 48. Let p = n + j. Is p prime?
False
Let x = -14 - -19. Suppose q + c - 118 = -0*c, -x*c - 15 = 0. Is q prime?
False
Let p = 121 - -102. Is p prime?
True
Let w be 6/21 + 12/7. Suppose 0*j = -w*j. Is 10 - (j - (1 + 0)) a composite number?
False
Let l = 47 + 89. Suppose -5*k + k = l. Let s = 73 + k. Is s prime?
False
Let y(h) = h**3 - 12*h**2 + 11*h - 5. Let b be y(11). Suppose -6*l = -l, 3*n = -l + 15. Is (-2)/n - 37/b a prime number?
True
Suppose 2*f = -5*a + 4*f + 1249, -6 = 3*f. Is a composite?
True
Let j(s) = s + 3. Let w be j(-3). Suppose -3*q + 483 = -w*q. Is q a composite number?
True
Suppose -c - 75 = -v - 0*v, 0 = -4*v + 5*c + 296. Is v prime?
True
Let m = 2052 - 1123. Suppose 4*n - m = 2027. Suppose n = 4*p - 2*p - g, -2*g = 10. Is p composite?
False
Let j be (10/2)/(1/(-1)). Let v be 9*(1*-2 + j). Let k = v + 152. Is k a prime number?
True
Suppose 15 = 5*m - 5*a, -3*m - m = -a - 21. Let r(c) = c**2 - 2*c + 7. Is r(m) a composite number?
False
Let j(m) = -21*m + 6. Let w(o) = o + 1. Let d(z) = -j(z) + 2*w(z). Is d(7) composite?
False
Suppose 0*r = 6*r - 8292. Is r composite?
True
Let g = 381 + -176. Is g a composite number?
True
Suppose h - 4*h + 2*d = -4, -d - 2 = h. Is 5 - 3 - (-29 - h) prime?
True
Let l = 8 + -6. Let q(t) = 0*t**2 + t**2 - 3*t**2 - 5 + 3*t**l + 4*t. Is q(-6) prime?
True
Let i(z) = -z - 9. Let h be i(-9). Suppose h = 4*s + 2*g - 8, -8 = -0*g + 4*g. Is s a prime number?
True
Let a(n) = -n**2 - 11*n + 4. Let i be a(-11). Is (-2)/i*(2 + -150) a composite number?
True
Let g(b) be the first derivative of 5*b**4/24 - 2*b**3/3 + 3*b**2/2 + 1. Let v(m) be the second derivative of g(m). Is v(7) a prime number?
True
Let z(f) be the first derivative of -29*f**4 - f**3/3 - f**2/2 - f + 1. Is z(-1) composite?
True
Let t = -1 - -6. Suppose -37 = -t*b + 4*b. Is b prime?
True
Suppose 48 = -2*n - 4*x - 108, 4*n = 2*x - 262. Let d = 135 + n. Is d composite?
False
Let m(n) = 4*n + 1. Let w(r) = -5*r. Let f(c) = 4*m(c) + 5*w(c). Let j(b) = -b**2 + 7*b - 5. Let k be j(7). Is f(k) a prime number?
False
Is (-7 + 2)*(-102)/10 a prime number?
False
Let d be (4/5)/(2/5). Suppose 0*i = -d*i + 196. Suppose -340 + i = -2*c. Is c a prime number?
False
Let h = 1197 + -646. Is h prime?
False
Let c(i) = i + 16. Is c(7) composite?
False
Let t(g) = 21*g**3 + 2*g**2 - 2*g. Is t(1) a composite number?
True
Suppose 3*s + 5*i - 146 = 0, 2*s - 6*s + 172 = i. Suppose -2*f + s = -0*f. Is f prime?
False
Suppose -p + 3*k + 3 = -0*p, p + 4*k - 10 = 0. Let o = p - 3. Suppose -o*y = 30 - 108. Is y a prime number?
False
Suppose 4*k = -4*b + 3508, 8*k - 885 = -b + 3*k. Let c = b - 444. Is c composite?
False
Suppose 4*u = -2*n + 8, 4*u = n + n + 8. Suppose -3*m - 24 = 3*k - n*k, 3*k = m + 12. Let o(a) = -a**3 - 7*a**2 + 2*a - 11. Is o(m) a composite number?
True
Let j = -1102 + 2385. Is j a composite number?
False
Suppose 4*q = -q - 2*h - 50, 4*q + 42 = -2*h. Let v(t) = t**2 + 7*t + 3. Is v(q) prime?
True
Suppose -9 = 15*a - 18*a. Suppose -2*q = a*m - 844, 4*q - 347 = -2*m + 1341. Is q a prime number?
False
Suppose 14*f = 8*f + 762. Is f composite?
False
Let b(g) = 5*g - 6*g**2 - 3*g - g**3 + g - 4*g - 1. Is b(-7) composite?
True
Let n(o) = 16*o**2 - 3*o + 1. Is n(2) a prime number?
True
Suppose l + 2*l = 474. Let p = 64 - l. Is 6/(-4)*p/3 a prime number?
True
Is (669/6)/(2/4) a prime number?
True
Suppose 188 + 11 = b + 2*t, -3*t + 796 = 4*b. Suppose 0*h = -h + b. Is h a prime number?
True
Let u be ((-16)/(-5))/(4/20). Let s(f) = 11*f - 3. Let h be s(2). Let w = h + u. Is w a prime number?
False
Suppose 3*w - 94 = -2*a, -a + 28 = 2*w - 33. Let k(q) = 2*q**2 + q - 1. Let u be k(1). Suppose -2*b = 2*p - 120 - w, 3*b = u*p + 237. Is b prime?
False
Suppose -k = 2*a + k, -5*a = 4