- 22*k**3 + 2. Is l(-2) a composite number?
True
Suppose -13999 = -2*k - 1710 + 36733. Is k a composite number?
True
Let n = 26107 + -4307. Let q = n - 11289. Is q a prime number?
False
Let d = -322 - -1620. Suppose 2954 = -3*u + 7*u - 5*k, -4*u - 5*k + 2974 = 0. Let v = d - u. Is v prime?
True
Let p(r) = -7*r**3 - 13*r**2 + 10*r + 19. Let t(d) = 15*d**3 + 27*d**2 - 21*d - 38. Let g(j) = 13*p(j) + 6*t(j). Is g(-12) a composite number?
False
Suppose 6*x = 21*x - 75. Suppose 3*a + l - 14255 = 0, x*l - 4761 = -4*a + 3*a. Is a a prime number?
True
Suppose 0 = 3*m - 5*i - 251169, -5*i + 63340 + 20383 = m. Is m prime?
False
Suppose -4*l - 48 = -5*c, 4*l - 3*l + 42 = 5*c. Suppose -2*w + 49866 = 4*i, -c*i = -4*w - 9*i + 99739. Is w a composite number?
True
Let r(m) = -3*m - 1. Let n(w) = -19. Let c(x) = -n(x) - 4*r(x). Suppose -4*b = -9*b + 75. Is c(b) composite?
True
Suppose 9*u + 3*u - 1289290 = 368858. Is u prime?
True
Suppose 5*f = 3*c + 39, 7 - 1 = -f - 4*c. Is f/(-1) - (-2 + -1307) a composite number?
False
Let p be -3 + 13/2 + 2/4. Let o be 2 - 1 - (854/(-2) + p). Let w = 315 + o. Is w prime?
True
Suppose -1848 = -3*z + 6*z. Let g = z - -2393. Is g a prime number?
True
Suppose -5*p - 9 = -8*p. Suppose -12 = -5*v - p*a, -4 = -3*v - 2*a + a. Let b(f) = f**2 + 2939. Is b(v) a composite number?
False
Let d be (-22)/33*(-3)/(-2). Let m(z) be the third derivative of -253*z**6/12 + z**5/60 - z**4/12 - z**3/3 - 29*z**2. Is m(d) composite?
False
Let u(n) = n**2 + 4. Let m be u(2). Let r(i) = 91*i + 23. Is r(m) composite?
False
Suppose 4*l - 6 = 2*d, 5*d - 2*l - 3 - 6 = 0. Suppose -d*i + 5*b = -5*i + 6223, 4*i + 4*b = 12440. Is i composite?
False
Let b(o) = -o**2 - 38*o + 13. Suppose -t = 3 + 15. Let a be b(t). Suppose 776 = 2*w - 4*g, 0 = -2*w + w - 3*g + a. Is w composite?
True
Suppose 0 = -2*f + 108 - 16. Suppose -v + 11 = 5*d, 3*d - f = 5*v - 17. Suppose -d*g - 68 = -c, -3*g = -2*c - g + 156. Is c composite?
False
Suppose 4577495 = 84*a - 19*a. Is a a prime number?
True
Suppose -296*a + 17355828 = -212*a. Is a a composite number?
True
Suppose 104*q - 15*q - 1966633 = 0. Is q a composite number?
True
Suppose -126 = 3*k - 0*k. Let i = -37 - k. Let u(p) = 3*p**3 - 6*p**2 + 7*p - 3. Is u(i) prime?
True
Let f(n) = -101027*n - 2128. Is f(-3) a composite number?
False
Let d(v) = -v. Let i be d(-3). Suppose 3*j = i*n - 2*n - 634, 1262 = 2*n - 3*j. Suppose 13*r + n = 17*r. Is r prime?
True
Let a be 99/15 + (-4)/(-10). Suppose -4*c = -4*z - 21104, 2*c - 12*z + a*z = 10543. Is c a prime number?
True
Let f = -129173 - -496336. Is f prime?
True
Let b(u) = 120 - 17*u + 4*u - 10*u. Is b(-9) prime?
False
Suppose -14 = 5*j - 3*l, -3*l + 7 + 1 = j. Let o be 850/4 - (8 + -11)/(-6). Let d = o + j. Is d a prime number?
True
Is -7 + (-10380282)/(-44)*(-2 + 30/9) composite?
True
Suppose 0 = -4*i + 3*y + 32, -2*i - 2 = -3*y - 24. Suppose 15 = 4*a + i*h, -3 = 6*h - 3*h. Suppose 4810 = a*q - 1155. Is q a prime number?
True
Suppose -2*v - 180*q + 178*q = -893822, -5*v - 2*q = -2234531. Is v a prime number?
False
Suppose -2*l + 12518 = -0*l - 5*o, o = -l + 6252. Suppose -13*a - 196237 = 48*a. Let y = l + a. Is y prime?
True
Let y = 206 - 204. Let j(w) = -w**2 - 5*w + 5. Let f be j(-5). Suppose 0 = -4*z + f*n + 6331, -2*z + 3*z + y*n - 1599 = 0. Is z prime?
False
Is ((-103926)/(-8))/(-11*(-39)/572) a composite number?
False
Let x(k) = -k**2 + 4*k. Let l be x(-2). Let p = l + 17. Suppose -p*d + 10362 = d. Is d a composite number?
True
Let p = 136 + -141. Let o(b) = -241*b + 86. Is o(p) composite?
False
Suppose 27*c + 4770 = 33*c. Suppose -11*m + c = 58. Suppose m = -h + 180. Is h composite?
False
Suppose 0 = -13*i + 17*i - f - 13, 2*f = -3*i - 4. Suppose 20*h = -i*h + 881518. Is h prime?
False
Let b = 111406 + -45615. Is b a prime number?
False
Suppose 0*o + 3*o = f + 3945, 3*f + 11840 = 4*o. Let i = f + 10774. Is i a prime number?
False
Suppose 57*y - 120*y = -56*y - 166019. Is y composite?
True
Is (0/1 + 1)/(650/3056950) prime?
True
Let b = -140243 + 218364. Is b a composite number?
False
Let j(a) = -2*a**3 + 47*a**2 - 8*a - 49. Let f(u) = -u. Let v(s) = -3*f(s) + j(s). Is v(21) a composite number?
True
Suppose n = 2*w + 521, -5*n - 4*w + 6*w + 2629 = 0. Is n a prime number?
False
Let m = -661 + 665. Let g(n) = n**2 - n - 3. Let w be g(0). Is m + (1391 - w) - -1 a prime number?
True
Let j = -1132 - -592. Let d = j - -2821. Is d a prime number?
True
Let v(k) = k**3 + 130*k**2 + 116*k + 156. Is v(55) a prime number?
True
Let q(c) = -112*c + 7. Let k = 103 + -119. Let l be q(k). Suppose 7*g = -0*g + l. Is g prime?
True
Suppose 0 = q + 37 - 44, 5*m = q + 4000258. Is m composite?
False
Let v(g) = -4642*g**2 + g - 3. Let y be v(3). Is y/(-9)*(-3)/(-6) prime?
False
Let f = 20 - 17. Let d be f + -1 + (-1)/(-1). Suppose -d*k - 2*z + 1949 = -2*k, z = -k + 1947. Is k a prime number?
False
Let d = 103 - 109. Let y(m) = 101*m**2 - 3*m + 33. Is y(d) composite?
True
Suppose -2*a = 4, -8*a + 508 = 2*b - 3*a. Let u be (0 - -1)/(4/552). Suppose -u = -t + b. Is t a prime number?
True
Is (-4 + 65620/(-6))*((-67)/2 - -5) prime?
False
Let c(q) = -2*q**3 - q**2 - 5*q + 2. Let l be c(-2). Suppose -2*f + 4 = 5*u + 2, 3*f - 3*u - l = 0. Is ((-8457)/9)/((-2)/f) a prime number?
True
Let n = -533 + 479. Let r = 799 - n. Is r prime?
True
Let n(b) = 15104*b + 51. Let g be n(8). Suppose -5*t = -u + 21934 + 2248, 5*u - g = -2*t. Is u composite?
True
Let n be (4/(-9))/2 + 22/18. Let i = n - -6. Is i/(-21) + 598/3 prime?
True
Is (-33*(-3109)/3)/((1 - -2)/3) prime?
False
Let n(w) = 37*w**2 - 136*w + 37. Is n(40) a composite number?
True
Let y = -120 + 116. Let l = -9 + 14. Is ((-2)/y)/(l/(-12660)*-2) prime?
False
Let f be (4803/5)/(36/420). Let j = f - 4350. Is j a prime number?
True
Is (431702 - 2) + 5 - (-54 - -52) composite?
False
Let j(d) = 44*d**2 + d - 362. Is j(-41) a composite number?
False
Let a(d) = -5923*d - 256. Is a(-15) a prime number?
True
Suppose 3*h - 4836 - 5673 = q, 4*h - 14022 = -2*q. Let n be h/(-36) - 1/(-3). Let w = 260 + n. Is w a composite number?
False
Suppose 28*j + 15585 + 34216 = 8781. Let d be (-1)/1 + 2366 + 1. Let g = d + j. Is g composite?
True
Let l(g) be the third derivative of 0*g + 0 + 1/60*g**5 + 7*g**2 + 3/2*g**3 + 1/8*g**4 + 1/12*g**6. Is l(4) composite?
False
Is (71/(-2))/((-22)/110132) prime?
False
Is (96/(-32) + 180459 + -2)*(-1)/(-2) a prime number?
True
Let j = 53787 - 29640. Let t = -13990 + j. Is t a prime number?
False
Suppose 5901 = z + 2*d, 2*d - 17723 = -2*z - z. Is z composite?
True
Suppose 52 = -2*r + 2*g, -3*r + 4*r + 14 = -2*g. Let a(v) = -647*v + 311. Is a(r) a composite number?
True
Suppose 19*b + b = 24200. Suppose 2*w + 2*v - b - 5648 = 0, -6846 = -2*w - 5*v. Is w a prime number?
True
Suppose -2*u - 5*p = -149, 6*p = 2*p - 12. Let r = 79 - u. Is (37653/28 - -1) + r/4 a composite number?
True
Let w(g) = -g**3 + 9*g**2 + g - 11. Let f be w(9). Is 12242*f*(28/(-16))/7 a prime number?
True
Let n(s) = -6*s**2 - 10*s - 2. Let i be n(-8). Let t be i/12*38/(-3). Let u = -229 + t. Is u a prime number?
False
Let j(b) = b**2 + 35*b + 6. Let w be j(-35). Is 8/12 + ((-90724)/w)/(-2) a prime number?
True
Let z = -175 + 98. Let x = z - -58. Let p(w) = -28*w - 39. Is p(x) a composite number?
True
Suppose -4*m - 111*x = -108*x - 3214342, -m + 2*x = -803591. Is m a composite number?
False
Let o be 267/(-39) + 4/(-26). Is (-1)/((21/7278)/o) a composite number?
True
Suppose 24 = 4*h - 3*n, 6 = h + 3*n + 15. Let u be (6/(-4))/(29/(-58)). Suppose 0 = u*s - 4*k - 178, 188 = h*s + k - 0*k. Is s composite?
True
Suppose 56*t - 11212530 - 11500728 = 1857358. Is t a composite number?
False
Let x be 203821 + 3/((-1)/((-12)/18)). Suppose 19*f - x = 81424. Is f a prime number?
True
Is (-4349)/(-4)*214376/422 prime?
False
Let t = 99790 + -56403. Is t prime?
False
Let p(s) = -3309*s**3 + 4*s**2 + 4*s - 4. Is p(-3) a composite number?
False
Suppose 0 = -2*l + 480 + 60. Suppose -4*v + l = -9*v. Is (-4)/(-6) - 13842/v a prime number?
True
Let m = -7 + 14. Suppose 2*f - 2082 = -0*f. Suppose f = m*t - 6*t. Is t a composite number?
True
Let n = -467 - -930. Suppose -4*m - n = -2547. Let s = m + -364. Is s a composite number?
False
Suppose -2*w - 4*y = -5*w + 43492, w - y - 14499 = 0. Supp