ue
Let k = -39 + 41. Suppose 0 = -k*n + n + 821. Is n a prime number?
True
Suppose 0 = -h + 5*h. Suppose h = 4*k - 5*k - 2. Is (-358)/(-8)*(2 - k) composite?
False
Suppose 232*z = 245*z - 289055. Is z prime?
False
Suppose -3*z - 2*w = 13, 5*w + 0*w = -2*z - 27. Is 213 + 1 - (4 + z) a composite number?
False
Let u = -141604 + 247355. Is u a prime number?
True
Let j = 1904 + -643. Is j composite?
True
Suppose 0 = -v + k + 35, 23 = v - 3*k - 8. Let q = 116 - v. Is q a prime number?
True
Suppose -n + 878 = -4*j, 3*n - 7*n = -3*j - 3512. Is n a composite number?
True
Let y = 160615 - 69386. Is y a prime number?
True
Suppose -3*n + n = -4. Suppose 0 = n*z - 11*z + 234. Is z composite?
True
Let q(k) = -k**3 + 6*k**2 + k - 2. Let n be q(6). Suppose y - 3*u = -2*y + 21, -4 = -n*y - 4*u. Suppose c - y*c = -1203. Is c prime?
True
Suppose 12 = 8*y - 28. Is (y - 5) + (4/(-2) - -805) prime?
False
Suppose 12 = -0*f + 4*f. Let n be 76 - (f + 3)/2. Let h = n + -6. Is h a prime number?
True
Let y(g) be the second derivative of 29*g**4/12 - g**3 - 8*g**2 - 30*g. Is y(-3) prime?
True
Let p(t) = -889*t**3 + 2*t**2 + t - 1. Let z be p(-1). Is (-6)/(-8) - z/(-4) a composite number?
False
Let c(u) be the first derivative of u**4/4 + u**3 - 7*u**2/2 + 25*u - 25. Is c(10) prime?
False
Let f(m) = m**3 - 11*m**2 + 10*m + 2. Let c be f(10). Suppose -7*r = -6*r - c. Suppose -3*o - r*o + 265 = 0. Is o composite?
False
Let o(q) = q**3 + 11*q**2 + 9*q + 3. Let d be 7 - (1/(-1) - -3). Suppose 4*u = 2*f - 36, u + 13 + 5 = d*f. Is o(u) a prime number?
False
Let j(l) = -2*l**3 - 6*l**2 - l + 5. Let o be j(5). Let d = o + -62. Let r = -211 - d. Is r composite?
False
Let j(w) = w**2 - 4*w - 6. Let l(x) = -x**2 + 3*x + 7. Let f(r) = 4*j(r) + 3*l(r). Is f(-10) composite?
False
Let c(m) = -11*m**2 + 4*m**3 + 1 - 7*m - 5*m**3 + 5. Let g(w) = -6*w + 61. Let d be g(12). Is c(d) prime?
True
Is 30/25*-9257*(-20)/12 a composite number?
True
Let q(v) = 365*v + 12 - 1 - 22. Is q(6) a composite number?
False
Suppose -4*i + 8*i + 24 = 0. Let r be i/(-4) + (-14)/(-4). Suppose r*y - 119 - 626 = 0. Is y a composite number?
False
Suppose 8 = 4*r - 0. Suppose -r*h + 669 = h. Is h composite?
False
Let s be (-7)/56 - (-645)/(-24). Is (-3045)/s + 6/27 a composite number?
False
Let i(u) = -49*u**3 + 0*u**2 + 1 + 50*u**3 - 2*u - 3*u**2. Let k be i(4). Suppose -3*d = -k, 635 = 5*y + 3*d - 689. Is y prime?
True
Let k = 30 + -39. Is 65 - k/((-9)/(-2)) prime?
True
Let h = 18 - 26. Let a(m) = m**2 + 9*m + 11. Let l be a(h). Suppose 190 = l*n + 2*n. Is n composite?
True
Let d(a) = 117*a**2 + 77*a + 221. Is d(-15) a composite number?
False
Let p(v) = -21*v**2 + 4*v - 22. Let f(w) = -w. Let i(c) = -21*c**2 + 2*c - 21. Let o(l) = 2*f(l) - i(l). Let y(h) = 3*o(h) + 2*p(h). Is y(6) composite?
False
Let y be 2/(-4) - (-2704)/32. Let m be 2*-2 - y/(-12). Suppose -z - 1334 = -m*b, b + z = 3*b - 891. Is b composite?
False
Let l = -60 + 49. Let g(f) = -50*f + 36. Is g(l) a prime number?
False
Let n(x) = 14*x**2 + 13*x + 2. Let j be n(-1). Let g be (-4)/(8/6 + -2). Is (-2)/g + 358/j a prime number?
False
Let h(p) = -544*p - 359. Is h(-19) a composite number?
True
Let s(x) = -x - 8. Let c be s(-12). Suppose 4*l - 4*i = 5*l - 163, 0 = -c*l + 2*i + 562. Is l a prime number?
False
Let c(q) = 45*q**2 + 17*q + 5. Let y(p) = 15*p**2 + 6*p + 2. Let o(v) = 6*c(v) - 17*y(v). Let t = 102 + -105. Is o(t) prime?
True
Suppose -12*b - 54685 = -17*b. Is b a composite number?
False
Let y(s) = -13 + s - s**3 + 2 - 3*s + s**2 + 4. Is y(-3) a prime number?
False
Is (36/27)/((-6)/(-279)) a prime number?
False
Suppose 0 = -3*t - t + 612. Suppose 5*j - 221 = 5*x - 971, x - 4*j - t = 0. Is x prime?
True
Is (-8223 - -1)*33/(-66) a prime number?
True
Let q = 2024 - 1353. Is q prime?
False
Let r be 13/4 - 3 - (-2793)/12. Let a = r + 126. Is a a prime number?
True
Let o(r) = -7*r**2 - 11*r + 26 - 5*r + 9*r**2 - 15. Suppose 4*u - 32 = -2*l, 0*u + u = 5*l - 47. Is o(l) a prime number?
False
Let q(n) = -32*n + 21. Is q(-14) a composite number?
True
Suppose -2*p + 2354 = 868. Is p a prime number?
True
Let j be 2/(-4)*(-6 - 0)*1. Suppose 0 = -4*d - 5*z + 3412, -j*d - 3412 = -7*d + 3*z. Is d a composite number?
False
Let d be -1*1*(-15)/5. Suppose 5*u - 195 = 50. Let b = u - d. Is b a prime number?
False
Let w be -18*(2 + 1 - 156/36). Is (-40)/(-15)*-514*(-9)/w a prime number?
False
Suppose -6*a + 8 = -4*a. Suppose -a*l = -5*i + 1889, 0 = 3*l - 7*l + 16. Is i composite?
True
Suppose 4*h = -3*o - 2933, -o = 5*h + 2*o + 3667. Is (h/6)/(1 + (-28)/24) a prime number?
False
Let v(s) = -s + 17. Let l be v(12). Let u = -29 + 135. Let t = l + u. Is t prime?
False
Suppose 0 = -2*q + w - 4 - 0, -5 = -3*q - 4*w. Let z be ((-65)/52)/(q/(-24)). Is 52/6*z/(-4) a composite number?
True
Let c = 5 - 6. Let h be -480*((-9)/6 - c). Suppose 5*n - 235 = -3*o + 352, 2*n = 4*o + h. Is n a composite number?
True
Let g(y) = 24*y**2 + 22*y - 21. Is g(-10) a composite number?
True
Let a(u) = u**3 - 6*u**2 + 4*u + 5. Let h be (1 - 3)*20/(-8). Suppose 0 = 2*k - 19 + h. Is a(k) a prime number?
False
Let m = 20 + -26. Let r be (m - 1)*(-6)/21. Suppose r*u = 287 + 1059. Is u a prime number?
True
Suppose -11*k = 710 + 137. Let i = k + 162. Is i a composite number?
True
Let k(y) = y**3 - y**2 + 2*y - 2. Let p be k(2). Suppose 3941 = p*b - 1573. Is b prime?
True
Let n(x) = 678*x - 87. Is n(6) a prime number?
False
Let j = -5709 - -3362. Let m = j + 4514. Is m composite?
True
Let h(k) = 145*k**2 - k - 131. Is h(16) a composite number?
False
Is (-4846710)/(-297) - (16/18 + -1) a composite number?
False
Suppose 0 = 2*n - a - 0*a - 2403, -2378 = -2*n - 4*a. Suppose 2*i - 71 = n. Is i a prime number?
False
Let f be (-14)/21 + 10810/6. Let o = -1043 + f. Suppose o = 23*k - 21*k. Is k a prime number?
True
Let v(g) = 127*g + 22. Let d = 95 + -86. Is v(d) composite?
True
Let o(g) = 253*g - 2. Let b(v) = 10*v**2 - 3*v. Let m be b(2). Suppose -5*d - 4 = 5*j - m, 0 = -5*d - 2*j + 15. Is o(d) a prime number?
True
Suppose 8 + 8 = 8*f. Suppose -f*l + o + 4635 = 0, -3*o = 4*l - 6814 - 2451. Is l a prime number?
False
Let s = 3419 - 1692. Is s prime?
False
Let g be (-2 + 14)/4 - 3. Suppose 5*i - 10*i + 10 = g. Suppose -5 = l, d + 5*l = i*d - 276. Is d composite?
False
Let m(f) = 378*f - 101. Is m(15) prime?
True
Suppose -3*q + 3*g = -68898, -9*g + 114790 = 5*q - 6*g. Is q prime?
True
Let f(y) = 124*y. Let k(b) = -248*b + 1. Let r(d) = 5*f(d) + 3*k(d). Is r(-1) a composite number?
False
Suppose -u = -4*u + 15, n - 34 = -4*u. Suppose z = 5*l - 18, 3*l = -l + z + n. Suppose 534 = -2*t + l*t. Is t prime?
False
Suppose -3*a = -3*v + 27, 0*a + 2*v = -2*a - 2. Let n = 2 - a. Suppose 6*u - n*u + 259 = 0. Is u prime?
False
Is 4555 + 2 - (-1 + -3) composite?
False
Suppose -394 = 10*a - 12*a. Suppose 0 = -4*h - a + 1041. Is h a composite number?
False
Let n(d) be the first derivative of 3*d**3 - d - 1/4*d**4 - 6 - 4*d**2. Is n(6) prime?
True
Suppose 4*u - b = 17056, 0 = -4*u + 5*b + 19343 - 2303. Is u composite?
True
Let h = -1510 + 2316. Let p = h + -43. Is p a prime number?
False
Let c = 2512 - 1001. Is c a composite number?
False
Let o be 3 - (-32 - 8/(-2)). Suppose 2*y + o = 85. Suppose f = 178 + y. Is f a prime number?
False
Suppose -3*i + 15 = 0, 2*i - 216 - 73 = -3*v. Let j(p) = p**2 - 4*p + 3. Let z be j(2). Is z/((-96)/v - -1) composite?
False
Suppose -3*l + 12 = 15. Let t be 2 - -1*(l + -6). Is 120 - (-4 - (2 + t)) composite?
True
Let d(b) = -b**2 - 10*b - 1. Let i(q) = q**2 + 5*q - 1. Let f be i(-4). Let p be d(f). Let h = 81 - p. Is h a prime number?
False
Let g = 6918 + -2975. Is g a prime number?
True
Suppose 0 = -3*l - 3*u - 12, -3*l + 4*u = 10 - 19. Is (4*2/(-24))/(l/597) prime?
True
Let j(u) = 3*u**3 - 9*u**2 - 7*u - 19. Let z be j(12). Suppose 59*g = 64*g - z. Is g prime?
True
Suppose -2105705 = -24*z - 419441. Is z prime?
False
Let y = 13 + -10. Suppose -3*q = q + y*u, -u = 0. Suppose 345 = 3*m - 4*g, -3*m - 4*g + 328 + 17 = q. Is m prime?
False
Is (-7 + (2 - 3077))/((-8)/4) prime?
False
Is (-9)/(-12)*51344/12 composite?
False
Let t = 122 + -91. Is t prime?
True
Let c(m) = m**3 - 7*m**2 - 2*m + 9. Is c(11) a composite number?
True
Let v(r) be the first derivative of -r**4/4 - 7*r**3/3 + r**2/