alse
Let a = 9 + -7. Suppose 0 = a*c + g + 3*g - 122, -c + 4*g + 55 = 0. Is c prime?
True
Suppose -y - 7660 = -6*y - 3*k, 10 = -2*k. Suppose 4*a - y = -3*d, -3*d - 2*d = -2*a - 2541. Is d prime?
True
Let g = 30 + -137. Let w = -33 - g. Is w a prime number?
False
Suppose -d + 92 + 125 = 0. Is d prime?
False
Let s(m) = -m**3 + 12*m**2 - 11*m + 2. Let u be s(11). Suppose -4*l - 880 = -2*f - u*f, 5*f = -5*l + 1090. Is f a composite number?
True
Suppose 2*t = -3*f + 189, -3*t - 6*f = -8*f - 251. Is t composite?
True
Is 16/24*138/4 a prime number?
True
Suppose 5*z - 2*m = 2984, -5*m - 7 = 3. Suppose -3*h = -2*k + z, -4*k - 3*h + 2*h + 1178 = 0. Is k prime?
False
Let i be 7 - 10 - (-26 - 1). Suppose s = -i + 91. Is s a composite number?
False
Is 4/(-18) - 14377/(-99) a composite number?
True
Let j(n) = n**2. Let t be j(5). Suppose -q - 4*q + t = 0. Suppose 0 = -3*r + 5*a + 62, -2*a - q + 3 = 0. Is r prime?
True
Suppose 0 = 2*r - 6, -6*u - 5*r = -u - 25. Suppose 600 = 5*b + 5*i, -3*b - u*b + 597 = 2*i. Is b a composite number?
True
Let c = 16193 - 9042. Is c prime?
True
Let a = 314 + -217. Is a a composite number?
False
Suppose 2*n - 15 = -3*f, 5*n + 3*f - 37 - 23 = 0. Is n prime?
False
Suppose 2*s - 10608 = -2*w, -s = 1 - 0. Is w prime?
False
Let x(m) = -m**3 - m**2 + 10. Let s be x(0). Suppose -t + 122 = k + 20, -4*k + 426 = -2*t. Suppose c - k = -s. Is c a composite number?
True
Suppose 2*r - 2*u - 2*u - 838 = 0, 0 = 5*u. Is r composite?
False
Let j(z) = 34*z**2 + 5*z - 3. Is j(-4) a prime number?
True
Suppose 0*j = 4*j + 140. Let d = j - -108. Suppose 0 = -3*k - d + 268. Is k prime?
False
Let v = 15 + -11. Let x = -4 + v. Suppose -b = -x*b - 22. Is b a composite number?
True
Let j(a) = -a**2 + 11*a - 7. Let t be j(10). Is t/(6/(-58))*-11 a composite number?
True
Let v = -20 + 75. Is v prime?
False
Suppose 2*k + 75 = 5*k. Let h = k + 26. Is h composite?
True
Let v = 40 + -25. Suppose 3*x + v = 4*y, 0 = 5*y - x - 2*x - 15. Suppose y*b = -b + 3*n + 229, -4*b = -2*n - 896. Is b prime?
True
Let k(h) be the third derivative of -h**6/120 + h**5/20 + h**4/4 + 2*h**3/3 - 2*h**2. Let b be k(5). Let j = b - -49. Is j composite?
True
Let d(j) = j**3 + 7*j**2 - 8*j. Let m be d(-8). Let r be (-1 - 0) + 6 - m. Let g = r - -50. Is g a composite number?
True
Let u = 2377 - 1322. Is u a composite number?
True
Let l(n) = n**3 - 7*n**2 + 15*n - 17. Is l(6) a composite number?
False
Is ((-2)/8)/(3/(-6756)) a prime number?
True
Suppose 0*b + 332 = -4*b. Let t = b + 118. Is t a composite number?
True
Let o = 439 + -252. Is o a prime number?
False
Let n(t) = 21*t - 2. Let i(k) = -10*k + 5. Let q(s) = -10*s + 4. Let g(o) = -3*i(o) + 4*q(o). Let a(j) = -5*g(j) - 2*n(j). Is a(2) composite?
True
Is (4764/(-30))/(4/(-10)) a composite number?
False
Suppose 5*i + 0*i - 625 = 0. Let m = 220 - i. Is m a prime number?
False
Let m = -1 + 5. Suppose -5*y + m*y - 105 = -2*i, -4*i + y + 207 = 0. Is i prime?
False
Suppose 5*t - 4*o - 50 = 130, 5*t - 180 = -4*o. Let q be 8/t + (-4)/18. Let b(x) = -x + 6. Is b(q) prime?
False
Suppose -3*r - b + 3*b = 0, 0 = -5*r + 2*b. Suppose -2*i - i - 6 = r, -4*d - 5*i + 730 = 0. Is d prime?
False
Let x(v) = v**2 + 2*v + 307. Let i be 0*3*4/12. Is x(i) a composite number?
False
Suppose p + 3 = -a + 4*p, a + 5*p = 5. Is (-1)/(a - (-2)/(-74)) composite?
False
Suppose 8 = -2*b, 3*b + 42 = -2*p - 3*p. Let m be (-2)/((-4)/p) + 210. Let q = m + -76. Is q prime?
True
Is (68/(-8))/(2/(-148)) a prime number?
False
Suppose 3*k = -k + 388. Is k composite?
False
Suppose -2*w + 2*l - 14 = 0, -3*w + 5*l = w + 32. Is (-1)/3 + (-118)/w a composite number?
True
Let c(m) = 20*m - 11. Is c(6) prime?
True
Let x be (-298)/((-7)/(14/(-4))). Let j = x - -270. Is j a composite number?
True
Let d be 61/3 - 4/12. Let k = -13 + d. Is k prime?
True
Let s(q) = q + 19. Let i(j) = j + 20. Let f(v) = 3*i(v) - 2*s(v). Is f(0) prime?
False
Suppose 0 = -5*s + 5*c - 25, 0 = s + 2*s + 4*c + 15. Let x = s + 10. Let p(f) = f**3 - 6*f**2 + 6*f - 3. Is p(x) prime?
True
Let i = 1688 - 985. Is i a composite number?
True
Let u = 73 - -27. Let t be 4/5*u/8. Is 485/t - 1/(-2) a prime number?
False
Let c = 41 + -21. Suppose -c - 35 = -l. Is l a prime number?
False
Let l(y) = y**2 + 49 - 39 + y - 5*y. Is l(9) a composite number?
True
Suppose -2*m - 12 = -4*m. Let q(i) = 7*i - 5. Is q(m) a prime number?
True
Suppose 5*w + 12786 = 5*v + w, -4*w + 2538 = v. Is v a prime number?
False
Let b(p) = -p**3 + 5*p**2 + 7*p - 6. Let w be b(6). Suppose -5*y - 128 + 488 = w. Let x = y - 38. Is x a prime number?
False
Suppose -3*u + 45 = -123. Let r = u + -33. Is r a prime number?
True
Let v(y) = y - 4 + 5 + 12 + 2*y. Is v(12) a composite number?
True
Let k(n) be the first derivative of 7*n**6/360 + n**5/24 + n**4/24 - 4*n**3/3 - 3. Let a(u) be the third derivative of k(u). Is a(-4) a prime number?
False
Suppose -2*i = 3*i + 15. Is 1 + i + 78 + 3 composite?
False
Let q(d) = 12*d. Let s = -1 + -2. Let r be q(s). Is r/(-3)*1 - -1 prime?
True
Let n = 314 - -1341. Is n a composite number?
True
Suppose 0 = 3*m + 2*w - 10, 0*w + 18 = 4*m + 5*w. Suppose 33 = m*i - i. Is i a prime number?
False
Suppose 343 + 1775 = 2*b. Is b prime?
False
Let r(m) = -m**3 + 5*m**2 + 14*m + 3. Let i be r(7). Suppose 422 = i*u - 2*u. Is u a composite number?
True
Let r be -4 + -1 + 2 + 1. Is r*95/(-2) - -2 composite?
False
Suppose -p + 3*r + 70 + 9 = 0, 179 = 2*p + r. Is p + -2 + (-5)/5 composite?
True
Let r(d) = 276*d - 31. Is r(10) composite?
False
Let l(a) = 214*a**3 + a - 2. Is l(1) a prime number?
False
Let l(h) = h**2 - 4*h - 6. Let k be l(5). Let b(p) = 3*p**2 - 1. Let a be b(k). Suppose 0*x - 3*x = -a*j - 479, 5*j = 25. Is x composite?
False
Suppose -m = -5*d + 27, -2*m + 4*d - 72 = 3*m. Is -1*(-3)/m*-844 a composite number?
False
Is 4/12 - (-98)/3 a prime number?
False
Suppose 5*s - 710 = -0. Is s composite?
True
Let t be 323/13 - 6/(-39). Suppose -x + 34 + t = 0. Is x a composite number?
False
Let h = 873 - -38. Is h a composite number?
False
Let p = 0 - 5. Let o = -1 - p. Suppose 4*d + o*y = 220, -4*y - 164 = -3*d + 1. Is d prime?
False
Is 8/6 - 4774/(-42) composite?
True
Suppose 5*d + 12 = 2*q, -2*d - 4*q - 19 = 5. Let a(z) = 5*z**2 - 4*z + 1. Is a(d) composite?
False
Suppose 5*b - 3196 = -0*b - t, -5*b = -4*t - 3216. Let k = 60 - 329. Let n = b + k. Is n a prime number?
False
Suppose 5*g - 3*i - 75 = 0, -i + 6 = g - 1. Let m(t) = -t**3 + 15*t**2 - 5*t + 1. Is m(g) a composite number?
False
Is 323 - 7/((-28)/(-16)) prime?
False
Let c = 76 + 115. Is c prime?
True
Let p(b) = -752*b - 9. Is p(-1) a prime number?
True
Let z = -87 + 52. Let m = z + 88. Is m a composite number?
False
Let u(a) be the second derivative of 129*a**5/10 - a**4/6 + a**3/6 + 4*a. Let l be (-2)/(2*(1 + -2)). Is u(l) a composite number?
False
Let p(w) = -w**3 + 3*w**2 + 4*w + 2. Let b be p(4). Suppose 2*u - 17 = -3*n, -3*n = -b*n - 3. Suppose 79 = -u*l + 291. Is l prime?
True
Let u(i) = i**2 - 2. Let q be u(2). Suppose -o = q*j - 162, -3*j + 4*o - 332 = -7*j. Is j prime?
True
Suppose 0 = 5*y + 7 - 22. Let b(d) = 5*d**3 - 3*d**2 - 4*d + 1. Is b(y) prime?
True
Let n = 29 + -23. Suppose -y = -5*y + 108. Let c = n + y. Is c a composite number?
True
Let k be (345/6)/((-1)/(-6)). Let d be -3 - (-190 - 9/(-3)). Let l = k - d. Is l prime?
False
Let f = 72 + 10. Is f a prime number?
False
Suppose 0 = d - 4. Suppose -153 = -d*a + o + 315, -4 = -o. Suppose 3*c = -4*r + 171, 2*c - 4*r = 4*c - a. Is c composite?
False
Let a(q) = -4339*q**3 + q**2 + q. Is a(-1) a composite number?
False
Is (-1)/(2/(-31))*2 prime?
True
Let y(g) = -27*g**2 - 4*g - 7. Let s(x) = 28*x**2 + 5*x + 8. Let b(c) = -2*s(c) - 3*y(c). Is b(4) a prime number?
False
Suppose -2*s + q = -1774, 0 = 3*s + 2*q - 3851 + 1176. Is s a composite number?
True
Suppose 3 = 3*d, 3*d = 2*l + 3*l + 3. Suppose -x + 145 - 34 = l. Is x a prime number?
False
Suppose 4*b - 8*b - 4*d + 1524 = 0, -3*b + 1145 = 4*d. Is b composite?
False
Let a(g) = 7*g**2 - 2*g + 2. Let m(r) = 2*r - 3. Let w be m(0). Is a(w) composite?
False
Suppose 3506 = 4*w - 2*y, -5*w - y + 3393 + 993 = 0. Is w a composite number?
False
Suppose 0 = -2*t - 8, 0 = q + 2*t - 5*t - 3. Let d = 44 + q. Is d a prime number?
False
Let v be ((-31)/3)/(2/(-36))