a composite number?
False
Suppose 0 = -2*r, -3*h = 3*r - 453 + 33. Suppose -f = -5*f + h. Is f composite?
True
Suppose 0 + 3 = 3*c - 5*w, -4*c + 5*w + 4 = 0. Is -4 + 5 + 126/c a composite number?
False
Let f(z) = z**3 - 4*z**2 - z - 5. Let n(q) = -q. Let i(h) = f(h) + 5*n(h). Is i(6) prime?
True
Let w(k) = 275*k - 10. Let s be w(4). Suppose -s = -5*q + 1695. Is q composite?
False
Suppose 5*r - 135 = -5*d, d + 135 = 5*r - 0*d. Suppose -r = -3*c - 12. Is 141 - (-2 + c - 3) a prime number?
False
Suppose -2*u - 4*x + 480 = 0, -u + 83 = -x - 166. Suppose u = 5*j - 589. Is j composite?
False
Let f = 1 + -1. Suppose -2*w + 4*w - 8 = f. Is w a prime number?
False
Let k = 4 - -2. Let b = k - 6. Suppose -z + b*z + 57 = 0. Is z a prime number?
False
Is 164 + 3/(-1) + -4 prime?
True
Let s(x) be the first derivative of 13*x**3/3 + x**2 - x + 6. Is s(2) composite?
True
Let z(i) = 7*i**2 - 43*i - 10. Let h(r) = 3*r**2 - 22*r - 5. Let j(g) = 9*h(g) - 4*z(g). Is j(-12) a prime number?
True
Let l(v) = v**2 + 49. Let x be l(0). Suppose 3*a - x = -4. Is a a composite number?
True
Suppose -33 = 4*s - 9. Let a = -2 - s. Is a/(-18) + (-573)/(-27) a prime number?
False
Let m = -91 + 200. Suppose -z + m = -198. Is z a composite number?
False
Let n = 854 + -352. Is n composite?
True
Suppose -5*s + 1407 = -4*g - 626, -g = s - 412. Is s prime?
True
Let s(q) = -q + 7. Suppose 2*j + 15 = 5*j. Let z be s(j). Is 2 + (110 - (z + -3)) composite?
False
Let r be (-11664)/27 + (-2 - 1). Suppose 18 = 5*s - 4*b, -10 = 2*s - 6*s + b. Is (-4 + s)/(6/r) prime?
False
Suppose -25*d + 15865 = -6*d. Is d composite?
True
Let c be (8/(-6))/(8/(-12)). Let l be 132 - ((-12)/3)/c. Suppose -2*w = -48 - l. Is w a prime number?
False
Let k be (-4)/6 - 10/3. Let m be k/(-3)*(2 + 1). Is (-4)/3*(-30)/m a composite number?
True
Let g = -30 - -15. Is (-10)/g*(-45)/(-2) composite?
True
Let j(d) = d**3 + d**2 + d - 89. Let i be j(0). Let l be (4 - -2)*125/3. Let u = l + i. Is u composite?
True
Let x(f) = 8*f - 15. Is x(27) composite?
True
Let t be -12*(-2 + 10/8). Suppose -3*w - 2*w - 2*u + t = 0, 4*w + 4*u = 0. Suppose w*n - 127 - 152 = 0. Is n composite?
True
Let o = -539 + 282. Let t = -144 - o. Is t prime?
True
Let l = 851 + -438. Is l a prime number?
False
Suppose -4*f + 112 = -5*y - 221, -4*f - 219 = 3*y. Let a(g) = 146*g**3 + g**2 - 2*g + 1. Let u be a(1). Let w = y + u. Is w a prime number?
False
Let r(x) = -x**3 + 29*x**2 + 36*x + 29. Is r(28) a composite number?
True
Let v = 1342 - 669. Is v a prime number?
True
Suppose r - 4*t - 87 = -2*t, -4*t = 4*r - 324. Is r prime?
True
Let p = -2 - -81. Is p a composite number?
False
Let o = -6 - -6. Let q be 6*(o - (-2)/(-3)). Is (-987)/(-18) - q/24 prime?
False
Let f = 17 - -1. Let g = f - -1. Is g prime?
True
Suppose b + 2*v - 10 = 0, 3*b - v = 2*v - 15. Suppose 3*u = 3*z + 702, b = -3*u - 3*z + 180 + 528. Is u a composite number?
True
Suppose 0 = -5*k - 0*f + 5*f - 15, -f = 0. Let u(i) be the second derivative of -2*i**3/3 + i**2 + 18*i. Is u(k) a prime number?
False
Suppose 3*i = 5985 + 4638. Is i a prime number?
True
Let k(s) = s**2 + 3 + 7*s + 2*s**2 + 3*s**2. Let w be k(7). Let x = w - 183. Is x composite?
False
Is (-248913)/(-147) + (-4)/14 a prime number?
True
Let k(d) = d**3 - d**2 + d - 92. Let v be k(0). Let a = 250 + v. Is (-7)/21*(-1 - a) a prime number?
True
Let s(z) = 25*z**2 - 9*z - 9. Is s(-4) a prime number?
False
Let i = 10 + -7. Suppose -3*p = p - s - 127, i*p - 4*s = 105. Is p a prime number?
True
Let c(k) = -k**2 - 9*k - 9. Let u be c(-7). Suppose -u*z - 69 = 3*t - 514, z = 3*t + 71. Suppose 4*p - z = 2*p. Is p a prime number?
True
Let a = -42 - -77. Is a composite?
True
Is ((-4)/1 - -4) + 749 composite?
True
Let j = 2656 - 1217. Is j a prime number?
True
Is (-4)/(-2 + -2) + 3592 a prime number?
True
Suppose 6*x - 2*x = 3*d, -4*x + 2*d = 0. Is x - (-32 + 1 + 0) composite?
False
Suppose 0 = -5*f + 3*k + 12, -2*f + 0*k - 3*k = 12. Suppose f = 4*t + x + 4*x - 360, 5*t - x - 479 = 0. Is t prime?
False
Let f(h) = 22*h**2 - 3*h + 2. Is f(3) a composite number?
False
Let a = -421 - -634. Suppose -3*x + 0*x + a = 0. Is x a prime number?
True
Suppose 3*i + 159 = 720. Is i a prime number?
False
Suppose -3*x + 180 = 2*x. Let u = x + 77. Is u prime?
True
Suppose 3*v - 667 - 4 = -c, 4*v + 2*c - 896 = 0. Is v composite?
False
Let f(q) = 27*q**2 + 13*q + 13. Let o(r) = -13*r**2 - 6*r - 6. Let y(a) = -4*f(a) - 9*o(a). Is y(3) composite?
False
Let x(i) = -i**3 + 4*i. Let q be x(-3). Let c be 3*(-5)/(q/(-2)). Suppose c*b - 28 = 10. Is b composite?
False
Suppose -4*h + 457 + 469 = 2*k, -k = -3*h - 448. Is k composite?
False
Let g(v) = v**3 - 14*v**2 + 7*v - 11. Is g(14) a composite number?
True
Let v be 1 + 1 + 4 + -6. Let s = v + -1. Let b(f) = -23*f - 1. Is b(s) prime?
False
Suppose -h + d - 13 = -2*h, -2*d - 19 = -3*h. Let r = h + -6. Let c = r - -4. Is c a prime number?
True
Suppose -4*s = -0*s + 8. Is (s + 3)/((-1)/(-23)) composite?
False
Let o(d) = -d**2 - d. Let g(j) = -7*j**2 - 8*j + 2. Let y(l) = -g(l) + 6*o(l). Is y(6) a composite number?
True
Let a be 8 - 4 - (0 - -3). Let z be (0 + a)/(2/728). Suppose 5*r = 166 + z. Is r a composite number?
True
Suppose 3*c - 2*m - 116 = -m, -3*c - 3*m + 132 = 0. Let w = c + -7. Is w a composite number?
True
Let v = 3 - 3. Suppose -273 = -3*f - 2*n - n, 3*n - 6 = v. Is f a composite number?
False
Suppose -z + 257 = -1542. Is z a composite number?
True
Suppose 0 = -p - 2*n + 5*n + 14, -4*n - 16 = 0. Suppose 2*t + t = 5*v, -3*v - p*t = -19. Suppose -23 = -f + 4*q, -v*f = f + 2*q - 38. Is f prime?
True
Is 2 + 5/((-5)/(-137)) a composite number?
False
Suppose -4*h - k = -2*h - 68, 0 = -2*h + k + 64. Suppose -o = -4*y - h, 0*o - 4*y = -4*o + 192. Is o composite?
False
Let c = 171 + 316. Is c a prime number?
True
Is 66300/48 + (-9)/4 + 2 composite?
False
Suppose 366 + 475 = j - 3*w, 5*j + 5*w = 4165. Is j a prime number?
False
Suppose 2*z = 4*z + 8. Let t = z - -138. Is t a composite number?
True
Suppose 5*l - 3*m = -0*m - 9, 2*l - m + 3 = 0. Is 222 + (l + 1)*1 composite?
False
Let l(c) = c**3 - 2*c + 1. Let f be l(2). Suppose -59 = f*j - 979. Suppose -3*t - j = -3*w - 4, -t = 5*w - 294. Is w a composite number?
False
Let s(k) = k - 4. Let r be s(4). Suppose -i + 4*i + 3*j - 33 = 0, 4*i + 5*j - 46 = r. Is i prime?
False
Suppose -5*x + 2*d = -664, -3*x + 0*x - 4*d = -414. Is x composite?
True
Suppose -6574 = 4*i - 6*i. Is i a prime number?
False
Let w(f) = 4*f**2 + f - 1. Let q be w(1). Suppose -32 = -q*t + 4*o, t - 6*t + o = -20. Suppose 28 = j + 2*p, t*p + 16 = j + p. Is j prime?
False
Let m(b) = -b**3 - 2*b**2 + 10*b + 41. Is m(-12) prime?
True
Let q(y) = -404*y + 1. Is q(-2) composite?
False
Suppose -2 = -m, 2*j - 683 = -3*j + m. Suppose 3*v = -o + j, 0*v = 2*v + 2*o - 86. Is v prime?
True
Let t(y) = y**3 + 14*y**2 - 21*y + 22. Let w be t(-15). Suppose 3*l + w = 4*o + 993, 5*o = 4*l - 1175. Is l a composite number?
True
Let r(c) = 5*c**3 - 5*c**2 - 4*c - 1. Let a be r(-4). Let d be (12/15)/((-7)/2065). Let l = d - a. Is l a prime number?
True
Let w(c) = -56*c**3 + c. Let u be 4*(0 - (-1)/(-4)). Is w(u) a prime number?
False
Let u = 1606 - 1092. Is u a prime number?
False
Suppose 4*v = y + 434, 2*y - 46 = -v + 67. Is v prime?
True
Let z be ((-44)/(-6))/((-2)/(-21)). Is (z/(-2))/((-4)/8) a composite number?
True
Suppose -2*f - f = 4*n + 38, -5*f - 5*n = 55. Let g be (-2)/(-4) - 57/f. Suppose 2*b - g = -4*r, -4*b + 2*r + 70 = -0*b. Is b composite?
True
Let r(i) = -9*i + 3. Let c be r(2). Let n be (-9)/(-6)*176/6. Let b = n - c. Is b a composite number?
False
Suppose g - 3*z = -4, z + 15 - 3 = 3*g. Is 273/g + 2/5 a composite number?
True
Suppose 3*z - 8*z = 2*o - 1049, -3*z = -3*o - 642. Is z prime?
True
Suppose -y + r - 5 = 0, -4*y + 5*y + 10 = 2*r. Suppose -j + y*j = -3. Suppose i - j*w = 77, -3*i + 156 = -i - 5*w. Is i a prime number?
True
Suppose 2*r - 6 = -u, r + 0*r = 0. Let o = 13 - u. Is o a composite number?
False
Let c(d) = -22*d**3 + d**2 + d. Let g be c(-1). Suppose -4*y = 8*t - 3*t + 19, -3*t + 15 = 0. Let j = y + g. Is j prime?
True
Let n(m) = -m**3 + 23*m**2 + 12*m + 11. Is n(17) a composite number?
False
Let y = 1116 - 775. Is y prime?
False
Suppose -s + 402 = -4*j - 118, 0 = -2*s + 4*j + 1