e?
True
Let z(d) = 6462*d**2 + 31*d + 2. Is z(-3) prime?
True
Suppose 4*t = -3*f + 11, t - 2*t = 2*f - 4. Let d = -4 - -1. Is f/((d + 1)/(-22)) a prime number?
True
Let r = -20 - -33. Suppose y - 3 = -5*g + 16, 4*y - g = r. Let w(k) = 4*k + 7. Is w(y) composite?
False
Suppose 0 = 11*f - 3*f - 27320. Is f a prime number?
False
Let k = -429 - -12008. Is k a prime number?
True
Let h be (10/(-17))/(-5) + (-253)/(-17). Let n(u) = u**3 + 7*u**2 + 4*u - 1. Let p be n(-6). Suppose h*c - 100 = p*c. Is c a prime number?
False
Let h(w) = 4*w**3 - 50*w**2 + 17*w - 33. Is h(34) composite?
False
Let w(h) = 3*h**2 - 1 - 2*h - 6 + h - 6. Is w(4) composite?
False
Suppose 24*z - 20*z - 58364 = 0. Is z a composite number?
False
Let b(x) be the first derivative of -x - 11 + 109/2*x**2. Is b(2) a prime number?
False
Let l(d) be the third derivative of 3*d**4/2 - 5*d**3/6 + 4*d**2. Let u be l(-7). Let c = u + 378. Is c prime?
False
Suppose 5*d - 17 + 2 = 0. Suppose 0 = -d*i - 5*y - 3 - 1, -4*i + 4 = 2*y. Let a = 19 + i. Is a a composite number?
True
Let o be 1422/2 + -1 + 1. Suppose -x + 207 = 2*t + 3*t, 138 = 3*t - 4*x. Suppose -o = -v + t. Is v a prime number?
False
Suppose -3*c - 1337 = m, -3*m - 1783 = 4*c - 2*m. Let p = 931 + c. Is p composite?
True
Let m(b) = -2*b**2 - 8*b - 2. Let c be 15/(-2)*(-16)/(-24). Let j be m(c). Is 106/j*-3*22 prime?
False
Is 0 - 5 - (85 + -16637) prime?
True
Let b be 2 - 4/(2/(-1)). Suppose -b*w + 0 = -12. Suppose -3*g + 1477 = 5*z, w*z - 3*g - 47 = 820. Is z a prime number?
True
Let g = 2488 + -945. Is g a composite number?
False
Suppose 0 = 4*p + 2*b - 710, 4*p - 701 = b - 0*b. Suppose 5*k + 5*h = 780, -5*h = -k - 2 + p. Is k a prime number?
False
Let c be 3 - (7 - 2) - 10. Let a be 14/6 - c/18. Is (-204)/(0 - a) - 1 composite?
False
Suppose u - 4*p - 142 = -3*p, 5*p + 15 = 0. Suppose 5*m = 4*m + u. Is m a composite number?
False
Suppose 0 = -4*p + n + 19441, p - 5*n = -p + 9707. Is p prime?
True
Is (701412/(-36))/((-3)/(-9)*-1) a prime number?
True
Suppose -2*w = -0*m + m - 6, 2*m + 2*w = 10. Suppose 3*h - 11299 = m*s, -h = -5*s + 3*s - 3769. Is h a prime number?
True
Suppose 5*q - 6*v = -10*v + 74135, 4*q + 4*v - 59304 = 0. Is q prime?
True
Suppose 0 = 15*n - 4*n - 22. Suppose l + l = -n*f + 1598, 3*l - 4*f = 2383. Is l prime?
True
Let k = 104 + 83. Suppose 2*t - 462 + 70 = 5*w, t + 2*w - k = 0. Is t a prime number?
True
Let c(d) be the third derivative of -65*d**4/8 - 2*d**3/3 - 7*d**2. Is c(-3) a composite number?
True
Suppose -4*l = -9546 + 1942. Is l prime?
True
Let s = -13286 + 33769. Is s a composite number?
False
Is (-10 - -12)*(-11586)/(-12) composite?
False
Let v be (-1 + -5 + 8)*1114/(-4). Let i = 2748 + -1772. Let z = v + i. Is z a prime number?
True
Let y be -21*-1*(-2)/(-6). Is ((-2)/6)/((5 - y)/858) composite?
True
Let v(j) = j**3 + 8*j**2 - j + 10. Let a be v(-8). Let z(p) = -10*p + 5 - 20*p + a*p. Is z(-12) a prime number?
True
Let s(t) = -79*t + 17. Let z = 25 + -31. Is s(z) composite?
False
Let s(t) = 2*t - 5. Let h be s(3). Let o = -75 + h. Let x = 129 + o. Is x composite?
True
Is 16620/9 + 26/78 composite?
False
Let i(x) = -x**3 + 5*x**2 - 4*x + 7. Let k be i(4). Let h(n) = 39*n**2 - 16*n. Is h(k) a prime number?
False
Let j = 1119 - 350. Is j a composite number?
False
Let o(p) = -p**3 - 4*p**2 - 27*p - 12. Let a be o(-15). Suppose a = 4*t + 8*t. Is t a prime number?
True
Suppose 0 = -2*n - 5*g + 28547, -3338 = 3*n + 3*g - 46172. Is n a prime number?
True
Suppose 0 = -3*o, 2*o = t + 3*o - 2. Is t/12 - (-69587)/42 a prime number?
True
Let m(z) = 15*z**2 + 15*z + 19. Let h(j) = -7*j**2 - 7*j - 9. Let o = -23 - -18. Let i(x) = o*h(x) - 2*m(x). Is i(-3) prime?
True
Let x = 12 + -10. Is 10308/20 + 36/(-15) + x prime?
False
Let l = -1788 + 10119. Is l prime?
False
Suppose -71 = -7*b + 55. Is (-706)/(-12) + -1*(-3)/b prime?
True
Let f(b) = -b**3 + 4*b**2 + b - 4. Let x be f(3). Is 1/(x/7352*(-1 + 2)) a composite number?
False
Let p(m) = 633*m - 4. Let g = -50 + 51. Is p(g) composite?
True
Let n(c) = 2*c**3 - 22*c**2 - 9*c - 59. Is n(18) composite?
True
Let u(h) = h**3 - 9*h**2 - 9*h - 10. Let s be (-1)/3 + (-62)/(-6). Let d be u(s). Suppose -20 = 4*p, 4*y - 4*p = -d*p + 640. Is y a prime number?
False
Suppose -5*m = -2*c + 18228, -c + 15*m + 9111 = 11*m. Is c prime?
False
Suppose -5*c = 0, -4002 + 522 = 4*p + 2*c. Let n = -613 - p. Is n prime?
True
Suppose 12*j = 66802 + 119690. Is j a composite number?
False
Suppose 3 - 1 = -2*u + 3*m, 0 = -2*m + 4. Let j(s) = 8*s + 3*s**u - 2*s**2 - 3 + 8. Is j(-12) a composite number?
False
Let h be (-4)/6 + 892/6. Let i(g) = 2*g - 15. Let f be i(10). Suppose -f*a = -247 - h. Is a prime?
True
Let c(x) = 651*x + 467. Is c(6) a prime number?
True
Let j = 34 + -31. Suppose -2*h = v - 31, -155 = v - 6*v + j*h. Is v a composite number?
False
Let j(k) = -k**3 + 21*k**2 - 10*k - 27. Let r be j(12). Let y = r + -352. Is y prime?
True
Let f = 57 - 52. Let c(m) = 11*m + 3. Is c(f) prime?
False
Suppose 10876 + 32132 = -12*s. Is (-1 - 1) + s/(-8) prime?
False
Let w be 2/(-12)*-9*146. Suppose -2*k + w = -k. Is k composite?
True
Let x = -4849 + 9008. Is x composite?
False
Is (5/(-2) - -2)/((-42)/60396) a prime number?
True
Let d be 2 + 32 - (3 + 1). Let k = 13 + d. Is k a composite number?
False
Let r(j) = 6*j + 4*j + 0*j + 32 + 7*j. Is r(17) prime?
False
Suppose 2*y + y - 6 = -5*x, 0 = -5*x. Suppose -4*c = y*v - 12, -3 = -0*c - c - 4*v. Suppose 0 = -q - c*q + 3964. Is q prime?
True
Let v be 47/(-1)*(-735)/21. Is ((-2)/(-3))/(-4 + v/411) a composite number?
True
Suppose 185*b = 198*b - 321763. Is b a composite number?
True
Let c(i) = i**3 - 16*i**2 + 39*i + 10. Let f be c(12). Let v = 255 + -75. Let s = f + v. Is s a composite number?
True
Let u = 56074 + -13287. Is u prime?
True
Let w(h) = -h**3 - 2*h**2 + h + 4. Let q be w(3). Is (-3)/(-6)*-13*q composite?
True
Suppose 5*z - 82281 = 2*z. Is z composite?
False
Suppose 5*n + 20 = 0, t + 0*t + 4*n = 5883. Is t prime?
False
Let r = -10347 - -18806. Is r prime?
False
Let k(i) = 171*i**2 + 21*i - 12. Let j(a) = -86*a**2 - 11*a + 6. Let v(x) = -5*j(x) - 3*k(x). Let o be v(8). Is ((-1)/5)/(6/o) prime?
True
Let w = 37 - 33. Suppose -4*v = 5*p - 326, w*p - 3*p - 397 = -5*v. Is v a prime number?
True
Is 48/120 - (-60646)/10 a prime number?
False
Let x(f) = 20*f**3 - 3*f**2 - 4*f - 2. Let c be x(-2). Let u be (-60)/16*2*94/(-3). Let l = c + u. Is l composite?
True
Let h be -1515 + 3/(-7 + 4). Is h/(-5) + (-1)/5 composite?
True
Let v(d) = d**2 - 14*d - 33. Let r be v(17). Is (27/r)/(9/2514) prime?
True
Let d(c) = 5*c - 43. Let b be d(14). Let z(v) = 157*v - 38. Is z(b) a composite number?
False
Is (980 - 3)/(-8 + (-51)/(-6)) composite?
True
Suppose -4*f = -f + 4*q - 4503, 2*f - 3004 = -2*q. Suppose -l - 4*s = -869, -s = -5*l + f + 2840. Is l composite?
True
Let t(u) = u**2 + 2*u + 787. Let r = -48 - -48. Is t(r) a prime number?
True
Suppose 0 = 2*r + 2*r - 320. Suppose r = t + 2*p, 2*t = 3*p - 0*p + 139. Is t composite?
True
Let m(p) = -2*p - 9. Let g be m(-6). Suppose 0 = -0*f + g*f + i - 3616, -4*i = -f + 1188. Suppose -8*y + 4*y + f = 0. Is y a composite number?
True
Suppose 5*t = 3*q - 44, 5*t + 20 + 16 = 2*q. Let f = 10 - q. Suppose -3*g = f*g - 95. Is g prime?
True
Let p = -6650 - -31951. Is p prime?
True
Suppose 5*h + 389 = t - 760, 4*t = 3*h + 4630. Is t a prime number?
False
Suppose 0*u - 3*u = -1032. Let v = 194 + u. Is v prime?
False
Suppose -15*m = -23*m + 58552. Is m a composite number?
True
Let v = -225 - -478. Suppose -k + 2*b + v = -0*k, -253 = -k - 4*b. Is k a composite number?
True
Let g(m) = m - 1. Let j be g(-11). Let d be (48/18)/((-8)/j). Suppose 95 = 3*f + 6*o - o, f - 43 = d*o. Is f composite?
True
Let k = -35 + 68. Let r be k/27*3*-54. Is (-36)/r - 1426/(-22) a composite number?
True
Suppose -4*a - 1288 = -0*a + f, a + 322 = -2*f. Suppose 0*w = -5*w - 3105. Let s = a - w. Is s prime?
False
Let c(l) = -l**3 - 2*l**2 + 15*l - 25. Is c(-9) a prime number?
False
Suppose -1 = 2*b - 3*b, -5*f = 5*b - 16710. Is f prime?
False
Let a be 172/60 - (-4)/30. Suppose -4*q - c + 5*c + 932 = 0, a*c - 486 = -2*q. Is q prime?
False
Suppose -5*j + 30135 = -2*t, -3*j = -3*t - 9688 - 8384. Is j a composite number?
False
Let f be 3 + (3 - (-2 + 