e
Suppose -16184 = -15*z + 63271. Is z a composite number?
False
Let v = -499 + -9. Let p = v + 1251. Is p a prime number?
True
Suppose 16*h - 17*h + 3 = 0. Let w(y) = 2*y**2 + 2*y + 7. Let a be w(-6). Suppose 2*v = h*v - a. Is v prime?
True
Let z be (1631 - 3)/(1 + 2/(-4)). Suppose 0 = 2*f - z - 306. Is f a prime number?
False
Let r(m) = m**3 - m - 1. Let d(f) = 4*f**3 + 8*f**2 - 14*f + 4. Let s(q) = d(q) - 5*r(q). Let i be s(7). Is ((-138)/6)/(1/i) composite?
True
Suppose -8*f + 12*f + 49876 = 4*d, d - 12453 = 5*f. Is d a prime number?
True
Let v(x) = -3*x**3 + 2. Let b be ((-15)/5 - -4) + -3. Is v(b) prime?
False
Suppose -4*o = -o - 9. Suppose -2*d = 3*v - 1691, 0 = o*d + 2*v + 2*v - 2539. Is d prime?
True
Let h = 7 + -5. Suppose -h*z + 5 = -z. Suppose 618 = 4*o + o + q, 0 = -z*o + 4*q + 603. Is o a composite number?
True
Let p(w) be the second derivative of 5*w - 1/20*w**5 - 5/2*w**2 + 0 + 2/3*w**3 + 1/3*w**4. Is p(4) a prime number?
True
Suppose -5*m + 36 = -39. Let w be 5 - (-4 + m/3). Suppose w*c - 2*c + 162 = 4*v, 0 = 2*v + 4*c - 106. Is v prime?
True
Suppose -27*y = -31*y + 19076. Is y prime?
False
Suppose -22226 = 62*v - 64*v. Is v a composite number?
False
Suppose -3*s - 2*v + 2868 = 0, -4037 - 762 = -5*s + 3*v. Is s a composite number?
True
Let o(i) = -i**3 + 9*i**2 + 11*i + 5. Let d be o(10). Is (-43260)/(-50) + 12/d a prime number?
False
Let f be 0/(-1) + (-95)/(-10)*-130. Let x = 2796 + f. Is x prime?
False
Let j = -6 + 12. Suppose -1940 = -j*b + 2008. Suppose 6*d - 2*d + 864 = 4*k, b = 3*k - 5*d. Is k a prime number?
True
Let m be (-102)/(3*6/(-4584)). Suppose -m + 5704 = -16*c. Is c composite?
True
Suppose -4 + 0 = -2*h. Suppose -4*v - 6*z + 2*z + 12 = 0, -h*z = -5*v - 20. Is 37/v*(0 + -2) a composite number?
False
Is -2*(-6)/2 - -56047 prime?
True
Is -3*3/15 + 11438/5 a prime number?
True
Let g = -81 + 63. Is (-41890)/(-18) + g/81 a prime number?
False
Suppose 0 = f - 2*j - 15, 5*j - 3*j = -5*f + 75. Let s(i) = 4*i + 1. Let b be s(1). Suppose -f = -4*c + 5, -x + b*c + 88 = 0. Is x a prime number?
True
Let y(f) = f**3 - 35*f**2 - 126*f + 73. Is y(39) a composite number?
True
Suppose -3*a + 1996 = -2*k, 0 = -a - 4*a + 3*k + 3325. Is a composite?
True
Let v = -9121 + 21684. Is v composite?
True
Let d = 2 + -2. Let v(r) = 3*r + 57. Let j be v(d). Suppose 4*i = -j + 277. Is i a composite number?
True
Let y = -17 + 20. Suppose 3*p = -14 - 1, y*v = -p + 100. Is v a prime number?
False
Suppose -304359 = -3*f - f - y, -2*y - 304362 = -4*f. Is 2/(30576/f - 2/5) a composite number?
False
Let s = 12965 - -7176. Is s a prime number?
False
Is 2*-5 - (-26025 + 180) prime?
False
Let x be (19 - (-1 + 1))/1. Suppose -x - 64 = -n. Is n composite?
False
Let u = 168 - -716. Suppose 24*m = 20*m + u. Is m a prime number?
False
Is ((-6065)/(-10))/(9/18) prime?
True
Let j be (-12)/15 + 1/(-5) + 5. Is j/14 - ((-28452)/28)/3 prime?
False
Suppose 8*j - 72774 = 17954. Is j composite?
True
Let j(o) = 3*o - 2. Let r(b) = -b. Let d(y) = -j(y) - 2*r(y). Let m be d(0). Suppose 0 = 5*u + 2*p - 421, -160 = -2*u - m*p - 3*p. Is u a prime number?
False
Suppose -u - 5*m - 29 = -3*u, -4*u - 4*m - 12 = 0. Suppose 465 = 2*o - h, -u*o + o + 234 = h. Is o composite?
False
Let c = 26 + -15. Suppose -5*n - 5*j - 15 = 0, -3*j - 32 + c = -3*n. Suppose -3*m + l - 2*l + 479 = 0, -n*m - l + 320 = 0. Is m a prime number?
False
Let m(i) = -368*i - 3. Let w be m(3). Let c = 2324 + w. Is c prime?
True
Let o(w) = w**3 + 5*w**2 + 4*w - 5. Let n be o(-5). Let z be (-1)/(-5) - (-55)/n. Is (-11876)/(-32) + z/16 composite?
True
Suppose -17*w = -511639 + 163377. Is w a composite number?
True
Let f be 6/(-10) - 652/(-20). Is ((-1246)/4)/((-16)/f) a prime number?
False
Is (-13 + 3 + 7)*4259/(-3) a composite number?
False
Let g be 44 - (-2)/4*-4. Let u be 6870/g - (-6)/14. Suppose 0 = q + q - u. Is q a prime number?
False
Let o = 35 - 187. Let f = 11 - o. Is f prime?
True
Let g(h) = h**3 + 56*h**2 - 387*h - 3. Is g(-42) prime?
False
Is 2767/(2 - (3 + -2)) a composite number?
False
Let i(p) = p**3 + 14*p**2 + 12*p - 19. Let f be i(-13). Is 1/(-1) + (-486)/(3 + f) a composite number?
True
Let t = 8736 - 4225. Is t a prime number?
False
Let p be 2/(-9) + (-12)/(-54). Let q(o) = o**2 - o + 37. Is q(p) prime?
True
Let z = 112 + 3. Let x(g) = -g**3 + 30*g**2 - 32*g + 104. Let m be x(29). Suppose 0 = a + 4*y - m, y = 5*a - z + 9. Is a prime?
False
Let f be (3 - 6/3)*3. Suppose -8*y - 215 = -f*y. Let t = 24 - y. Is t a composite number?
False
Let j(m) = m**3 + 2*m**2 - 1. Let y(w) = -3*w**3 - 13*w**2 + 6*w - 6. Let c(o) = j(o) + y(o). Let k(b) = 4*b + 4. Let q be k(-3). Is c(q) a composite number?
True
Let z(o) = -1400*o + 9. Is z(-1) prime?
True
Let d = -952 + 1011. Is d a composite number?
False
Suppose -3*r - 3 = -3*f + 6, -4*r = 5*f - 15. Suppose -5*s = 4*m - 32266, 4*m = -r*m - 3*s + 32270. Is m composite?
False
Suppose 4*y - 5 - 85 = 2*b, 0 = -5*y - 2*b + 99. Suppose -s + 968 = y. Suppose 4*u - 569 - s = 0. Is u composite?
False
Let q = 980 - -1322. Is -2*q*(-1)/4 a composite number?
False
Let g be (18772/16 + -4)/((-3)/(-8)). Suppose 0 = -0*d + 2*d - g. Is d prime?
True
Let x(h) be the second derivative of -h**4/12 + 7*h**3/6 - h**2/2 - 8*h. Let f be x(6). Suppose -2*g = g + f*o - 638, -4*o - 207 = -g. Is g a prime number?
True
Let b be 122*4 - (4 + -4). Suppose -2*m + 0*k = 4*k - b, -m + 269 = -3*k. Is (m + 0)/(3 + -1) a prime number?
True
Let l(j) = j**3 + 52*j**2 - 99*j - 71. Is l(-42) a prime number?
True
Suppose 4*y = 5*m + 3450 + 2722, -m = -2*y + 3086. Is y prime?
True
Let x(a) = 400*a**2 + 15*a + 103. Is x(9) prime?
False
Let l(p) = -p + 4. Let h(d) = d**2 + d - 1. Let r be h(2). Let q be l(r). Is (-7)/((-3)/(-9)*q) prime?
False
Let s = -864 + 2719. Suppose -4*m + s = 183. Suppose 18 = 4*l - m. Is l a prime number?
True
Let y = 6301 + -1544. Is y a prime number?
False
Is 9/(-6)*2230/(-45)*3 composite?
False
Let s be 4/(4/199)*3. Suppose -s = -4*i + 143. Is (i/(-2))/(6/(-12)) prime?
False
Let h(f) = f**3 + 8*f**2 - 10*f - 3. Let d be h(-9). Suppose -d*b + 4055 = -b. Suppose 5*w - 844 = b. Is w composite?
False
Suppose 0 = 3*r + 9*r - 6300. Suppose -5890 = -5*t - r. Is t prime?
False
Let u = 3317 + -1593. Let c be (-6)/(-15) + 2/(-5). Suppose c = -3*i - b + u, -4*i - 2*b = 3*b - 2317. Is i prime?
False
Let n(r) = 4*r**2 - r + 2. Let p be 20/30*6/4. Suppose -m = -2*m + 4, -p = f - m. Is n(f) composite?
True
Suppose -b + 19 = 5*z, -2*z + 6*z + 2*b - 14 = 0. Suppose 3*y - z*d = 24, y - 4*y = 4*d. Suppose -4*x = -y*r - 881 - 135, r = -3*x + 750. Is x composite?
False
Let v = -7363 + 14185. Is 3 - v/(-24) - (-2)/(-8) a prime number?
False
Is 1/((4/(-8))/((-64442)/4)) a prime number?
False
Let b = -24927 - -41804. Is b a composite number?
True
Let u be -2 - 396/(6/(-2)). Let w be 4/(-6) + (-24)/(-9). Suppose w*f = u + 180. Is f a composite number?
True
Let w be (2/(-8))/(4/(-112)). Suppose -w*t + 9*t = 22. Is t a prime number?
True
Suppose 17 = 2*p + 15. Suppose p = 6*y - 7*y. Is y/((16/1676)/(-4)) a prime number?
True
Let d(l) = -2*l**3 - 11*l**2 + 13*l - 43. Is d(-13) a prime number?
False
Let r = 56 - 53. Suppose -l + 3 = -r. Is l composite?
True
Let f(j) = 4*j + 37. Let b be f(-9). Is -934*-3*(4/8)/b a prime number?
False
Let m = 11246 - 7849. Is m prime?
False
Suppose -4*k = -2*q + 26, 5 = 5*q + k - 5. Suppose -23 = -5*d - j, 4*j = 5*d + q*j - 27. Suppose -z = -d*z + 844. Is z a composite number?
False
Let o = 2677 - -4678. Is o composite?
True
Let f = -2547 - -3701. Is f a composite number?
True
Let y be (-1)/6*-1 + 2733/18. Suppose -4*p - 2*j + y = 0, -3*p + 0*j + j = -109. Is p a composite number?
False
Let z = -111 - -72. Let f = -33 - -181. Let b = f + z. Is b prime?
True
Suppose 10*o + 2*o - 44256 = 0. Suppose -4*f = -2*n - o, -4*n - 120 - 1718 = -2*f. Is f a composite number?
True
Suppose 2*m + 2*i = -2, -3*m + 1 + 6 = i. Is 2/1*((-1182)/(-4) + m) a composite number?
False
Let s = 40 + -28. Let t = s - -223. Is t prime?
False
Suppose v - 2 = 24. Let y = v - -25. Is y a composite number?
True
Let a = -21 - -27. Suppose -a*l - 2303 = -13*l. Is l a composite number?
True
Let v(q) = 12934*q**2 - q - 4. Is v(-1) composite?
True
Is (4 + (-9)/2)/(2/(-22676)) composite?
False
Let t