ue
Let a(c) = -c**3 - c**2 + 5*c + 32093. Is a(0) prime?
False
Let j = 1071 + 44. Is j prime?
False
Suppose -6*x - 3*x = -60813. Is x a prime number?
False
Let w(z) = 204*z**2 - 5*z - 11. Let s be w(-7). Is s/42 - (-9)/21 a prime number?
True
Let p(a) = -a + 6. Let w be p(6). Let c(o) = -o**3 + 179. Is c(w) a prime number?
True
Suppose -3*z - 138 = 2*k, -3*k - 3*z = 144 + 66. Is (-5994)/k - ((-3)/4 - -1) prime?
True
Suppose 0 = -0*n + 2*n - 42. Let a = n + -13. Is 65/20 - 2/a prime?
True
Let r(y) = -y**2 + 6*y - 1. Let m(f) = f**3 - 14*f**2 + 12*f + 17. Let q be m(13). Let z be r(q). Suppose -v = -j + 150, z*j = 4*j - 3*v + 420. Is j prime?
False
Let g be (2 - 1)/((-13)/(-78)). Suppose -g*r + 516 = -6. Is r a composite number?
True
Suppose -k = 5 - 0. Is 334/10 - -2 - (-2)/k composite?
True
Is ((-4)/(16/(-37)))/(8/3232) a composite number?
True
Suppose -9*t = -53*t + 105380. Is t a prime number?
False
Suppose -384 = -5*z + z. Is 10*(3 + z) + 3 prime?
False
Suppose m - 3671 = 3*n, -5*n = -3*m - 3*n + 11041. Is m composite?
True
Let v(l) = -8*l**2 + 2*l. Let i be v(1). Is 14/42 + ((-2878)/i - 1) a composite number?
False
Suppose 2*j = 3*k + 3, -2*j + 7*j = -k - 18. Let g be (1 + -4)/(j/69). Is (3 + g/(-6))*-4 composite?
True
Suppose -5*l - 846 = c - 18425, 3511 = l + 5*c. Suppose 0 = 62*h - 58*h - l. Is h a composite number?
True
Let l(w) = 175*w + 9. Let x(y) be the second derivative of y**2/2 - 4*y. Let j(z) = -l(z) - 2*x(z). Is j(-4) composite?
True
Suppose -5*j + 2*n + 78 = 0, -3*j + 53 = 8*n - 3*n. Let d(s) = s**2 - 16*s + 19. Is d(j) a prime number?
True
Let f be 23045/(-22) - 1/(-2). Let y = f + 1536. Is y a prime number?
False
Suppose -y + 2*c + 54771 = 0, -8*c + 9*c = 3*y - 164333. Is y a composite number?
False
Suppose -4*q + 2*o + 13931 = -4219, 0 = 4*q + 4*o - 18180. Suppose -7*b + 2411 + q = 0. Is b a prime number?
False
Suppose -8*r + 6*r + 236 = 0. Is r a prime number?
False
Suppose -8*d + 33429 = -23635. Is d a prime number?
False
Suppose -3*y + 15250 = 4*x, -2*y + 5*x = -6326 - 3810. Is y a composite number?
True
Let b be 1/(20/(-70) - (-9)/7). Is (-1)/(b*(-1)/233) a composite number?
False
Suppose 3*n - 1 = -2*t, -4*n = -5*t + t + 12. Is t/(-20)*-2 - 12604/(-5) a prime number?
True
Let s = 73 + -71. Suppose 1064 = -3*x + 7*x. Suppose -s*b - 12 = -x. Is b a composite number?
False
Suppose 2*x - 4*f + 1 = -7, -5*f + 28 = 2*x. Suppose -4*a = -5*a - 5, x*u - 3*a - 2099 = 0. Is u prime?
True
Let k(n) = -10*n + 1. Suppose -4*j + 39 - 15 = 0. Suppose 0 = -7*r + 9*r + j. Is k(r) composite?
False
Let o(s) = -s**3 + 22*s**2 - 31*s + 28. Let c be o(20). Let v = c + -81. Is v a composite number?
False
Let r be 85 + 1*(-3 + 2). Suppose 605 = -0*u + 5*u. Let s = u - r. Is s a prime number?
True
Suppose -293 + 93 = -5*f. Suppose -4*t + 4 = -h, -4*t = 2*h - 0*h - f. Let w = 1 + h. Is w a prime number?
True
Let u = 2515 + -362. Is u a prime number?
True
Suppose -426 - 47592 = -6*p. Is p prime?
False
Let b be 10667/3 - -1 - (-6)/(-9). Let q = b + -2157. Is q a composite number?
False
Let b be (-34430)/(-44) + (-6)/(-4). Let j = b - 149. Is j prime?
False
Suppose -4*s - 2*i + 46436 = 0, 0*s + 3*s - i - 34832 = 0. Suppose -4*z - 11625 = -5*c, 3*z - 2*z = 5*c - s. Is c prime?
False
Let w be (6/4)/((-24)/(-160)). Suppose -5*p = -w - 0. Suppose 6*k - 132 = p*k. Is k prime?
False
Let p = -33032 - -52329. Is p composite?
True
Let o be (-2 + 1)/((-9)/265077). Suppose 0 = -9*m - 9374 + o. Is m prime?
False
Let h be 2/(-7) + (-6 - (-39156)/42). Suppose 0 = -3*b + 2*r + 401 + 518, -3*b + h = 5*r. Is b a prime number?
True
Suppose 0 = -c + 1, 3*m + 80020 - 262395 = 4*c. Is m composite?
False
Let m(t) = 2*t + 30. Let v be m(-13). Suppose -v*f - 3834 - 6826 = 0. Is ((-4)/(-2))/((-10)/f) a prime number?
False
Let k = -3429 + 8810. Is k a prime number?
True
Suppose 5*u - 41415 = -5*c, -5*c - 3*u - 41383 = -10*c. Is c a prime number?
False
Suppose 5*z = 6*o - 21853, 3 = -3*z + 6. Is o a prime number?
True
Let h be (20/30)/(4/(-18)). Let n be 4/1 + h + 2. Suppose 0 = -n*i + 7*i - 152. Is i composite?
True
Let v = 1479 + 160. Is v a prime number?
False
Let s(v) = 33*v**3 - 4*v**2 - 4*v + 19. Is s(4) prime?
False
Suppose 22*r - 19*r - 35915 = 2*g, -16 = 4*g. Is r a prime number?
True
Let a(p) = 161*p - 4. Is a(3) a composite number?
False
Is -6 + (5521 - 2) - -6 a prime number?
True
Suppose 3*c = 5*c + 62. Let x be 1 + 2 + -1 + c. Let i = 42 + x. Is i a composite number?
False
Suppose 5*x - 139 = -3*l, -2*l + 92 = -3*x + 6*x. Suppose -5*m + l - 8 = -5*s, 0 = s - 3. Let u(a) = a**3 - 7*a**2 - 15*a + 13. Is u(m) a composite number?
False
Suppose -31*t + 7*t + 26184 = 0. Is t prime?
True
Is 336704/32 - 3/(-1 + 2) a prime number?
False
Is ((-35)/14 - -1)/((-12)/1364872) composite?
False
Let y be (0 + -2)*-4 + -3. Suppose -3*u + y*u = -484. Is 3/4 + u/(-8) a prime number?
True
Let t be (3*(-4)/(-24))/((-3)/(-2382)). Let y = 168 + t. Is y prime?
False
Suppose 624*n = 630*n - 83442. Is n prime?
True
Let o be (-1 - -2)*(-6)/24*-20. Suppose a - o*i - 469 = 0, -5*a - 7*i + 6*i + 2449 = 0. Is a composite?
True
Let a be 1*((1 - -1) + 17869). Suppose a + 30982 = 7*u. Is u prime?
False
Let m = 49 - 47. Is -2 + 2 - (-209 - m) a prime number?
True
Let j(c) = -3214*c + 53. Let z be j(-13). Suppose -4*a + 33456 = -4*b, 5*a - 4*b = -2*b + z. Is a a prime number?
True
Let m(l) = 887*l - 1. Is m(12) prime?
False
Suppose 0 = 5*o - 4*m - 19, 4*o + 3*m = -o + 12. Suppose -2*f + 15 = o*f. Suppose -f*g + 4*g = 67. Is g a composite number?
False
Suppose 0 = 3*f + 2*y - 18982, -6253 - 6397 = -2*f + y. Is f a composite number?
True
Let q be 100/((-2)/(2 - 0)). Let w = q - -40. Is 1/5 - 20208/w composite?
False
Let j be (-18)/27 - 16/(-6). Suppose 309 = 5*d + 3*s, d - 59 = j*s + 8. Suppose 2*q - 5*q = -d. Is q a prime number?
False
Suppose -5387 - 1944 = -5*o + 3*b, 2*b = 2*o - 2934. Is o composite?
True
Suppose -6*k + 20 = -4. Suppose 7 - 3 = k*p. Is 148 - (2 + -3)/p prime?
True
Suppose 680 = -3*x + 182. Let y = 108 - 71. Let p = y - x. Is p composite?
True
Suppose 2*c = -h - 3, 9*c - 4*c = -3*h - 10. Suppose y - 47 = -c. Suppose y = w + 4*v - 1, 5*w + 5*v - 280 = 0. Is w prime?
True
Let o(m) = -35*m - 13. Let b(w) = -23*w - 9. Let n(z) = -8*b(z) + 5*o(z). Let r(v) = 5*v + 4. Let c(k) = -4*n(k) + 7*r(k). Is c(-7) prime?
True
Let u be -3 - (1 - 54)/1. Suppose 5*j + 38 = -4*h + 2, -2*h - 16 = 2*j. Is u + (-4)/(j - 0) a prime number?
False
Let l be 35/1*(1 + 4 + -1). Let o = l + 1265. Is o a composite number?
True
Let r be (-4)/10 - 3/(45/354). Is r/(-15) + -1 - 3724/(-10) composite?
False
Let s(o) = 13963*o**2 + 3*o - 3. Is s(1) composite?
False
Let i be 3 + (-6)/(-2) + 3. Let z be (0 + (-48)/i)*3. Is 4/16 - 556/z a composite number?
True
Suppose -21969 = -15*y + 6*y. Is y prime?
True
Let t(m) = 2*m**2 - 20*m + 1. Let s be t(8). Let w = -29 - s. Suppose -4*g + 246 = w*n, 0 = 2*g + 2*g - 4*n - 216. Is g a prime number?
True
Let s(g) = 2*g + 7. Let w be s(4). Let k(a) be the second derivative of 7*a**3/6 + 11*a**2 + a. Is k(w) prime?
True
Let b(f) = -120*f + 11. Let d be b(-9). Suppose -5*q - d = -3336. Is q a prime number?
True
Suppose -178773 = -50*q + 29*q. Is q a composite number?
False
Let n = -145 + 150. Suppose -3*t - 23047 = -5*m - n*t, t = -3*m + 13828. Is m a prime number?
False
Suppose 108 = 2*w + 4*n - 7*n, n = -4. Suppose 2*d - 2*h - 16 = 0, 4*h - 11 = 5*d - w. Suppose 1434 + 221 = d*f. Is f a composite number?
False
Suppose 112562 = -26*v + 1032780. Is v composite?
False
Let r(i) = 82*i**3 + 4*i**2 - 19*i + 107. Is r(12) composite?
False
Suppose 7*v - 2*v = 0. Suppose -2*x + q - 2*q + 5 = v, -x - 11 = 5*q. Suppose -5*k - 5*d - 126 + 421 = 0, 3*k - x*d = 177. Is k a prime number?
True
Let l be (-10)/(-4)*(0 - -2). Is (-2)/6*-3 + 341 + l composite?
False
Let q(z) = 47*z + 11. Is q(4) a prime number?
True
Let m be (3 - (-2 - -212))*(-1)/3. Let y = 148 + m. Is y composite?
True
Let i(l) = 5*l**2 + 7*l + 7. Suppose -3*k = -h - h, 3*k = 5*h - 9. Let a(x) = -x**2 - x + 1. Let t be a(k). Is i(t) prime?
True
Let j(b) = 42*b**2 + 39*b + 26. Is j(16) composite?
True
Let z(i) = -i**3 + 21*i**2 - 17*i - 32. Let g be z(20). Suppose -4*u = -0*u + 76. Let b = u + g. Is b prime?
False
Suppose -1