- 3*w + 151, -3*n - 3*w + 228 = 0. Is n a prime number?
False
Let r(h) = 3*h**2 + 4*h + 5. Let m be r(-9). Let u = 357 - m. Is u prime?
False
Let q(z) = -z**2. Let s(b) = 13*b**2 + b + 1. Let h(m) = 6*q(m) + s(m). Is h(3) prime?
True
Let k(w) = w**3 + 9*w**2 - 5*w - 6. Is k(-7) a composite number?
False
Let i(a) = a**2 + a. Let l(b) = 5*b**2 - 3*b - 10. Let s(d) = 4*i(d) - l(d). Let x be s(8). Suppose x*u = g + 5*u - 22, g - 5*u - 54 = 0. Is g prime?
False
Suppose 1 + 3 = s. Let g = -2 + s. Suppose -187 = -2*a - g*a + v, -92 = -2*a + 2*v. Is a a composite number?
False
Suppose -594 = 5*s - 7349. Is s prime?
False
Let w(r) = 5*r**3 + 7*r**2 + 2*r + 11. Let s(p) = 2*p**3 + 3*p**2 + p + 5. Let o(n) = -7*s(n) + 3*w(n). Is o(5) a composite number?
True
Let f be (-9)/(-3)*1 + 2. Suppose k = 3*j + 3*k - 3, 0 = f*j + 4*k - 5. Is (2 + -39)/((-1)/j) a prime number?
True
Is (-404)/(-5)*5/2 a composite number?
True
Let h = 12 + -8. Suppose 5*u - 3*z = 1005, -3*u + h*z + 565 = -38. Is u composite?
True
Let m be (-2)/4 - 33/(-6). Let d be m*(1 - (-2)/(-1)). Is d/(-20) + (-267)/(-4) prime?
True
Suppose 0 = l + 3*n - 10, 2*n - 40 = 3*l - 3*n. Let g(c) = -5*c. Let f be g(l). Let i = f - 11. Is i prime?
False
Suppose -4*c - 3*a - 2*a + 194 = 0, 4*c - 192 = -4*a. Is c a composite number?
True
Suppose 0 = -c + 4*v + 21, -3*v - 4 = c + 10. Let k(i) be the second derivative of 4*i**4/3 - i**2/2 - 2*i. Is k(c) prime?
False
Let z(q) = 5*q**3 + q**2 - 1. Let o be z(1). Suppose -o*g = 5, -2*s + 147 = -s - g. Is s composite?
True
Suppose -m - 167 = 4*a, 3*a = -3 + 12. Let p = m + 306. Is p a composite number?
False
Let x(p) = -34*p + 1. Let m be (-2)/3*21/14. Is x(m) composite?
True
Suppose 3*v - 25 - 344 = 0. Let w = v - 88. Is w a prime number?
False
Suppose -4*t - 159 = -3*i - 7*t, 5*t = i - 41. Is i prime?
False
Let l be 922/7 + (-16)/(-56). Suppose 0 = -2*d - 26 + l. Is d a composite number?
False
Is (2149 - (2 + 1)) + 3 composite?
True
Suppose -3*s + 93 + 18 = 0. Suppose -55 + 21 = -d. Suppose 0 = -3*c - 4*x + s, -4*c + 6 = 3*x - d. Is c a prime number?
True
Let q = 427 - 173. Is q a composite number?
True
Suppose 62*r - 66*r + 1524 = 0. Is r composite?
True
Suppose -13 = -2*u + 205. Is u prime?
True
Suppose -5*j - f = -5*f - 23, -3*f = -j + 9. Suppose 0 = -5*g + 2*g - j*v - 1950, 0 = 5*g - v + 3268. Let n = g - -1152. Is n composite?
False
Suppose -2*v + 0*t = t - 21, 5*t = -3*v + 21. Suppose -v = 2*y - 6*y. Is y composite?
False
Suppose -3*m + 8*m - 5 = b, 5*b - 25 = 0. Suppose 3*f + 76 = u, u - m*f - 10 - 71 = 0. Is u a prime number?
False
Let c(a) = -a**3 - 5*a**2 + 10*a + 3. Is c(-9) a prime number?
False
Is 82 - (-1 + (-4 - -2)) composite?
True
Let x(f) = f**3 + 11*f**2 + 6*f + 5. Is x(-7) composite?
True
Is ((-1)/(-3))/(4/11148) a prime number?
True
Suppose 0 = -4*g - 2*u - 18, 0 = -4*g + 3*u + 3 + 4. Let o be (g/5)/(5/(-25)). Suppose o*m = m + 19. Is m a prime number?
True
Let m(v) = -v + 1. Let y be m(-3). Suppose 0*z + y*z = 572. Is z a composite number?
True
Let u be 2/3*-3*1. Let b be 117/(u + -1 - -2). Is ((-2)/(-3))/((-3)/b) composite?
True
Suppose -2*n = -k + 53 + 36, -5*n = 5*k - 370. Is k prime?
True
Let p = -524 - -223. Suppose 471 = -3*h - 3*g, -4*h + 4*g + 160 = -5*h. Let f = h - p. Is f a composite number?
True
Let o(b) = 495*b - 66. Let y(r) = -38*r + 5. Let p(m) = 5*o(m) + 66*y(m). Is p(-1) composite?
True
Let c(s) = 23*s - 6. Suppose -2*h + f + 2 = -9, -f - 16 = -3*h. Is c(h) a composite number?
False
Suppose -3*i - 3*b = b + 2910, 0 = -3*i + 4*b - 2886. Let v = -569 - i. Is v prime?
True
Suppose -3*t + 684 = -0*t + 4*f, -3*t = -f - 699. Suppose -5*r = 5*q - t - 28, 5*r - 2*q = 281. Is r a composite number?
True
Suppose 0 = i - 5 - 7. Suppose -2*x - 16 = -7*x - 2*z, -2*x + i = -2*z. Suppose 5*c + 4*d - 46 = 0, 2*d - 7*d - 4 = -x*c. Is c composite?
True
Let u(w) = w - 1. Let o(n) = -5*n**2 + 2*n + 8. Let t(r) = -o(r) - 4*u(r). Is t(5) composite?
True
Let t(p) = 7*p**2 - 2*p - 2. Let o be t(3). Let y = 1 - -1. Suppose c - 2*u - 140 = -c, o = c + y*u. Is c composite?
True
Suppose 3 = 3*b - 4*b. Let a = -3 - b. Suppose a = -w - 1 + 8. Is w composite?
False
Suppose -2*s - 4*d = s + 25, 3*d = 4*s. Let a(f) be the second derivative of -f**3 + f**2/2 - f. Is a(s) prime?
True
Suppose 4*c - v + 309 = 5*c, 4*c - 1234 = -3*v. Is c prime?
True
Let l = 527 + -322. Is l a prime number?
False
Suppose 0 = 3*z + 271 - 31. Let k = 159 + z. Is k a prime number?
True
Suppose -2*l + 116 = -150. Is l a prime number?
False
Let u = 83 + -31. Let t = 87 - u. Is t composite?
True
Let z be 0 - 1 - (4 - 4). Is 6*z*-6 - -1 a composite number?
False
Suppose -l - 1 = 2. Let s(i) = -i**3 - 4*i**2 - 4*i - 4. Let p be s(l). Is -37*-1*(p + 2) a composite number?
False
Is 454 + (-3)/(3/3) a composite number?
True
Let x(t) = t**2 - 3*t - 1. Is x(-6) a composite number?
False
Let f(l) = l. Let u be f(5). Suppose 2139 - 824 = u*b. Is b prime?
True
Suppose -5*a = -4037 - 6748. Is a a prime number?
False
Let t(y) = -y**3 + 28*y**2 + 6*y + 2. Is t(25) a prime number?
True
Let o(k) = -k**3 - 10*k**2 - 5*k + 11. Is o(-12) prime?
True
Let a(j) = -12*j**3 - 2*j - 3. Suppose -17 = 3*t - 5*p + 4, 4*t + p = -5. Is a(t) prime?
True
Suppose -4*t + 4 = 0, -i = i + 5*t - 951. Is i a prime number?
False
Suppose -f = -q + 5, 3*q - 19 = -2*q + 2*f. Let t = q + -1. Suppose 0*u + 77 = 4*u + x, t*u + 3*x = 41. Is u composite?
False
Let r = 3 - -4. Let k = 16 - 11. Suppose -4*d - r*z + 2*z + 37 = 0, -4*z + 53 = k*d. Is d a prime number?
True
Let b be (-3)/((18/(-4))/(-3)). Let g be ((-1)/b)/(1/6). Suppose p = 6 + g. Is p a composite number?
True
Let p be ((-27)/2)/1*6. Let l = p - -56. Let k = l + 62. Is k a prime number?
True
Suppose -2*s = g - 4, 6*s - 2*s - 10 = -3*g. Suppose -m - g*o = -63, m + 18 = -5*o + 75. Is m prime?
True
Suppose -133 = -y - 0*y - 5*b, -y = 2*b - 136. Suppose -2*c + 3*h + 75 = -c, -4*h = 3*c - 173. Suppose 0 = -3*z + c + y. Is z composite?
False
Let r(b) = 2*b + 9. Suppose -3*v = -29 - 4. Is r(v) a composite number?
False
Let z(n) = n + 2. Let r = 2 + -2. Let t be z(r). Suppose -l + 26 = 3*g, 3*g - 26 = -l + t*g. Is l composite?
True
Suppose 23*z = 19*z + 6620. Is z a composite number?
True
Suppose -2*n = 6, 4*n + 5 + 5 = 2*u. Let p = 1 - u. Suppose -34 - 8 = -p*d. Is d composite?
True
Let g = 1284 + -697. Is g composite?
False
Let w(v) = v + 3 + 1 - 1. Let f be w(-4). Is -2 - 0/f - -25 prime?
True
Let x(y) = -2*y + 32*y - 1 + 37*y - 1. Is x(1) a composite number?
True
Let o be (-9 - -3)*(-1)/(-3). Is 431/2 - (-1)/o composite?
True
Let h = 260 - 21. Suppose 0 = y + 4*y - 3*l - 377, 0 = -3*y + 5*l + h. Let q = y - 42. Is q prime?
True
Is 455/15 - (-6)/9 a prime number?
True
Suppose -i + 23 = 4*t, 22 = -i + 3*t + 2*t. Suppose 5*n - i*n = 4. Is 240/3 - n - -1 a prime number?
True
Let b be 8/6*(19 - 1). Let f = b + 55. Is f a prime number?
True
Suppose 0 = 3*f - 1812 + 189. Is f a composite number?
False
Suppose -2*l = -6*l + 8. Suppose l*j + k - 151 = 0, 71 = j + 4*k - 2*k. Is j a prime number?
False
Suppose 4*u - 112 = -0*u. Let a be 19/(-7) - 8/u. Is (-2 - a)*(-62)/(-2) composite?
False
Let c(a) = -17*a**3 - 6*a**2 - 3*a + 5. Is c(-4) prime?
True
Let b(h) = 2*h**3 - 13*h**2 + h - 9. Let l = 15 + -10. Let j(n) = -n**3 + 7*n**2 + 4. Let v(m) = l*j(m) + 3*b(m). Is v(5) a prime number?
False
Suppose 44*d = 41*d + 2613. Is d prime?
False
Suppose -3*y = 29 + 10. Suppose 4*j - 46 = -b, -130 + 11 = -4*b - 3*j. Let w = y + b. Is w composite?
False
Suppose 0 = a - 4*a + 1893. Is a a prime number?
True
Let n(v) = 4*v + 5. Let t(g) = -11*g - 14. Let i(r) = -8*n(r) - 3*t(r). Is i(4) a prime number?
False
Is (-3 - (-76 + -4))*1 a prime number?
False
Let o(j) = 2*j**2 - j + 5. Let p be o(-4). Suppose 2*c - 4*l = -0*c + 34, p = 3*c - l. Is c composite?
False
Let s = -42 + 62. Suppose -5*c = 5*l + s, -3*l - 7 = 3*c - c. Let j(x) = x + 12. Is j(c) composite?
False
Is -4 - (-253 + (-2)/1) composite?
False
Let f = 204 - -549. Is f composite?
True
Suppose 6766 - 2316 = 5*w. Suppose -2*k + l = k - w, 4*l = -3*k + 910. Is k a composite number?
True
Let u = -1049 - -1612. Is u a composite number?
False
Let g(u) = -183*u + 1. Let l be g(-1). Let p = l + -65. Is p a prime number?
False
Suppose -2