 1. Suppose 72 = 2*h - n*k + 2*k, -2*k - 173 = -5*h. Is h prime?
False
Is 3/(-5) + 4*(-3174)/(-60) a prime number?
True
Let g = 176 + 497. Is g a composite number?
False
Let v = 10 + -7. Let t be ((-1)/(-3))/((-3)/9) - -25. Suppose 3*i + t = v*a, 3*a - 5*i + 7 - 21 = 0. Is a composite?
False
Let f be (-2)/((20/(-6))/5). Suppose 5*m + 3*a = 2350, f*m - 2*a = m + 924. Is m a composite number?
False
Suppose r - 5 = 0, g = 3*g + 3*r - 15. Let f = g - -2. Is (0 + f)*42/4 a prime number?
False
Suppose 4*h + h = 355. Suppose 2*b - b = -2*s + h, 5*b + 3*s - 341 = 0. Is b a composite number?
False
Is (4/(-10))/((-2)/17635) a composite number?
False
Suppose -p = -8*p + 77. Is p composite?
False
Is (-2 - -1)*167*-1 a composite number?
False
Let m = 8 - 14. Is (2/4)/(m/(-444)) a prime number?
True
Let f be 1*(3 + 5*-2). Let a(s) = 29*s - 15. Let t(d) = 14*d - 7. Let i(o) = 2*a(o) - 5*t(o). Is i(f) composite?
False
Let l(o) = 63*o + 3. Let j be l(2). Is (j - 2) + 2 + -2 prime?
True
Let o = 602 - 1. Let n(j) = j**3 - 13*j**2 - 12*j - 23. Let w be n(14). Suppose -w*a + 194 = -o. Is a prime?
False
Let x be (-412)/(-10) - (-2)/(-10). Let n = 76 - x. Is n a prime number?
False
Suppose -4*c - 33 = -c + w, 3*c = -4*w - 33. Let v = c + -15. Let a = v - -40. Is a prime?
False
Suppose 0*m - 24 = -2*m. Suppose -2*h = h - 12. Is 0 - h/(m/(-165)) a composite number?
True
Let v(x) = x**2 - x + 15. Let j be v(0). Let f(r) = -r**3 - 13*r**2 + 2*r + 16. Let c be f(-13). Is 6/c - (-219)/j composite?
True
Let s(c) = 182*c**2 - 1. Let t be s(-1). Is (t - -7) + 6/2 prime?
True
Let w = 336 + -215. Is w a prime number?
False
Let l = 7 + -2. Suppose 0 = 5*x - 5*o - 1070, -l*x + 714 = 4*o - 383. Is x a composite number?
True
Suppose 0 = 5*c - 167 - 143. Is c a composite number?
True
Suppose 0 = 3*i - 631 - 812. Is i a composite number?
True
Let w(y) = -y**2 - 4*y - 2. Let h be w(-4). Let d = 3 - h. Suppose -t - 4*m - 215 = -4*t, d*t - 305 = -4*m. Is t a prime number?
False
Suppose 4*k = -12, 5*g = g + 3*k + 1501. Is g prime?
True
Let j(o) = 201*o**3 + o. Let d be j(1). Suppose 114 = 4*w - d. Is w prime?
True
Is 1801*(-1 + -3)/(-4) prime?
True
Suppose 0*r + 572 = 4*r. Is r prime?
False
Let n = -6 + 6. Suppose n*h - 447 = -3*h. Is h a composite number?
False
Let j(m) = 262*m**3 + m**2 - m + 1. Let r be 5 - (4 - (0 - 0)). Is j(r) a prime number?
True
Let n = 617 + -396. Is n composite?
True
Let w(m) be the first derivative of -19*m**2/2 - 12*m + 1. Is w(-9) a prime number?
False
Suppose 2821 + 265 = 2*t. Is t a prime number?
True
Let g(k) = -k**3 - 3*k**2 + 5*k + 5. Let b be g(-4). Suppose m = 3*l + 39 + 23, 0 = -l - b. Is m composite?
False
Suppose -r - 300 = -6*r. Let z = -29 + r. Is z/(2 - (0 - -1)) a prime number?
True
Let m be -3*(2 + -2 + 2). Let p = m + 11. Suppose -h = 3*a - 41, -5*a = 5 + p. Is h a prime number?
True
Suppose 8*q = 3*q + 40. Suppose 921 = q*o - 5*o. Is o a composite number?
False
Let k be 1/((-2)/10) + -2. Suppose 2*l - 12 = 3*p, 3*p + 1 = 13. Is (-21)/l*4*k composite?
True
Suppose -4*u - w = -208, u + 4*u = w + 251. Is u a prime number?
False
Let f(l) = -3*l + l - 3 - 5*l. Is f(-6) a composite number?
True
Suppose 1063 = 5*g + 108. Is g prime?
True
Let b be (-7)/1 + (-2 - -2). Let h = b + 12. Suppose h*j - j = 460. Is j prime?
False
Let w be 105*(-1)/(5/6). Is (w + 2 + 1)*-1 prime?
False
Suppose 1 = -4*x + 9. Suppose 5*l + 67 - 6 = x*t, 4*l = -2*t + 34. Let w = 56 - t. Is w composite?
True
Suppose y + 0 = 2. Suppose -4*i + 840 = 4*p, -4*p + 192 = -y*i + 618. Is i composite?
False
Suppose p - 1 = 0, -3*u + 48 = -0*u + 3*p. Is u prime?
False
Suppose -8*j = -4*j + 4*t - 308, j - 4*t - 57 = 0. Let l(z) = 4*z - 10. Let p be l(-8). Let v = p + j. Is v prime?
True
Is 24/(-84) + 1 + 5716/14 composite?
False
Suppose 4*a - 3*a + 4*d = 0, 5*a + d = 19. Suppose v + a*v - 1265 = 0. Is v a composite number?
True
Suppose 0 = 3*t + 4*z - 1053, -t + 4*z + 1376 = 3*t. Suppose 4*i - t = 737. Is i a prime number?
True
Let i(v) = -v. Let w be i(-4). Is (-680)/(-12)*6/w composite?
True
Suppose 0 = -k + 4*k. Suppose 5*b = -k*b + 290. Is b prime?
False
Let q(t) = t + 7*t - t**3 - 1 - 1 - 3 - 8*t**2. Let c be q(-9). Let n(y) = 7*y**2 + y + 5. Is n(c) prime?
False
Let p(g) = 3*g - 25. Let w(t) = 4*t - 37. Let m(x) = 7*p(x) - 5*w(x). Is m(9) composite?
False
Let v = 3 - 11. Let c(y) = 2*y**2 - 6*y - 10. Let k be c(v). Suppose k + 219 = 5*j. Is j a prime number?
False
Suppose -2*h = -415 + 133. Is h composite?
True
Suppose -8*y - 2344 = -16*y. Is y a prime number?
True
Suppose 7*n = 4*n - 522. Let b = n - -251. Is b composite?
True
Suppose 115 + 1161 = 4*f. Is f a composite number?
True
Suppose -2*n + 4 = 2*f + 2*f, -4*n = f - 15. Suppose -43 - 17 = -2*r. Is ((-8)/(-10))/(n/r) prime?
False
Suppose -g - 4*g + 4435 = 0. Is g a composite number?
False
Suppose 6*h - h - 730 = 0. Let z = h + -901. Is (-3)/4 + z/(-20) a composite number?
False
Let q be (6/9)/((-2)/(-42)). Suppose -t + g + q = 2*t, 4*g = t - 23. Is (-12)/(-8)*110/t composite?
True
Let o(n) = n**3 - 5*n**2 + 6*n - 6. Let q be o(4). Let w be ((-1)/2)/(q/(-48)). Let g = w + 3. Is g composite?
True
Suppose z + 4*f - 7 - 5 = 0, -5*z = 3*f - 26. Suppose -z*o = -9*o + 20. Suppose 3*q - 22 = -o*a, -2*a = -0*q + 2*q - 18. Is q a prime number?
False
Let k(u) = u**2 - 3*u + 3. Let v be k(3). Is (0 + -1)/(v/(-483)) a prime number?
False
Let u(s) = -s**3 - 10*s**2 + 11*s - 1. Let j be u(-11). Let d = j + 5. Suppose 83 = 5*c + 4*f, d*c + 4*f = 3*f + 62. Is c a prime number?
False
Let c(y) = -y**3 + 8*y**2 - 5*y - 10. Let i be c(7). Let j = 9 - i. Suppose 3*h - 2*a - 14 = 0, -5*h + j*a = -13 - 7. Is h prime?
False
Suppose 2*a = -y + 16, 3*a + 5*y = -2*a + 30. Let v = -15 + a. Let m = 8 - v. Is m composite?
False
Let d(r) = 6*r**3 + 2*r**2 - 3*r + 1. Let a be d(2). Is (-2 - a/(-2))*2 prime?
True
Let u be -1 - (-2 - -20)/3. Let w(o) = o**2 + 8*o - 1. Let j be w(u). Let l = j - -29. Is l prime?
False
Is ((-76)/6)/(2/(-33)) composite?
True
Let w(y) = 2*y - 212*y**3 + 6*y - 7*y - 2*y - 2*y**2. Is w(-1) composite?
False
Suppose 3*x - 153 = 57. Suppose 5*s + x = -0*s. Is (10/7)/((-2)/s) a prime number?
False
Suppose 4*x - 3*x + 13 = 4*r, -3*x + 9 = 0. Let z(v) = 0 + 3*v**2 - 3*v + 0 - 1. Is z(r) a composite number?
True
Let v = 51 - -320. Suppose 4*p - 89 = v. Suppose 3*d = -2*d + p. Is d a prime number?
True
Let d be ((-218)/(-6))/(1/9). Suppose 8*v = 5*v + d. Is v prime?
True
Suppose -l + 1151 = 4*b, -4*l + 2*b + 4604 = 7*b. Is l a composite number?
False
Let r(j) = -4*j - 5. Is r(-2) a prime number?
True
Let f = -4 - -6. Let z be 2*(0 - (0 - f)). Suppose h = z*y - 139, -h = 3*y - 79 - 20. Is y prime?
False
Let g(k) = -k. Let f be (-6 - -4)*(-1 + 0). Let s be g(f). Is (-158)/((-4)/(4 + s)) composite?
False
Suppose -2*a + a = -153. Is (-2)/7 + a/21 prime?
True
Suppose -2*l - 137 = -3*l + 5*a, -3*a = -12. Is l a composite number?
False
Suppose 5*m - 10 = -u, 2*m + 1 = 2*u + 5. Suppose -t - 1 + 6 = u. Suppose 124 + 221 = t*x. Is x composite?
True
Is 0 - 4/5 - (-1858)/10 a prime number?
False
Let a(n) = -n**2 - 9*n - 3. Is a(-6) a composite number?
True
Let a(m) = 14*m**3 + 3*m**2 + 9*m + 3. Is a(4) composite?
False
Let s = 20 - 13. Let u = s - -24. Is u prime?
True
Let o(r) = 7*r**2 + 16*r - 12. Is o(19) prime?
True
Suppose 7*i - 2165 - 1118 = 0. Is i composite?
True
Suppose s - 5 = 5*o - 31, 3*s = 5*o - 28. Suppose o*t = 136 + 234. Suppose 5*i = -3*r + 382, -2*i - t = -3*i - 3*r. Is i composite?
True
Suppose -11*x - 2153 = -12*x. Is x a prime number?
True
Let g(h) = 402*h + 1. Is g(1) composite?
True
Suppose -5*i + d = 1728, 10*d + 1020 = -3*i + 5*d. Let g = -134 - i. Is g a composite number?
False
Let s = 7 + -4. Suppose -5*f + 0*u + 442 = u, -3*f - s*u + 258 = 0. Is f a prime number?
True
Suppose -318 = -5*f + 5452. Is f prime?
False
Let o be (1 - 0)/(9/18). Is 2385/6 + o/(-4) a composite number?
False
Let l = 2 - -51. Is l prime?
True
Suppose 2*f + 4*j - 3406 = 0, 3*f - 5064 = 9*j - 6*j. Is f a composite number?
False
Is 16806/8 - ((-21)/(-12) - 2) composite?
True
Let p = -11 - -5. Let t be -18*(-1)/((-9)/p). Suppose 0*k - t = -4*k. Is k a composite number?
False
Let k(j) = 759*j**2 + 2*j. Is k(-1) a composite number?
False
Let r = -5 + 8.