31. Let z = d - 4488. Suppose 5*c + 52 = 3*r - 2869, -3*c = 3*r - z. Is r composite?
False
Let q(v) = 1. Let b(m) = 630*m + 12. Let r(p) = -b(p) + 5*q(p). Is r(-4) a prime number?
False
Let f = -31 + 33. Let x(g) = 14*g + 5*g**2 - 6 - 4*g - g**3 + 2*g**f. Is x(8) a composite number?
True
Suppose i - 4*c = 708 + 1119, -4*c = -5*i + 9151. Is i a prime number?
True
Let k be ((-14)/5)/((-6)/2460). Suppose -s + 594 = d, 5*s - 1813 = -2*d + k. Let m = 1004 - s. Is m a prime number?
False
Suppose -4*p + 298 = 3*y - 5*y, -4*p + 3*y + 295 = 0. Suppose -d + 5*x + p = -147, 4*d - 4*x = 892. Is d a composite number?
False
Let v be (-2 - 4765/(-15)) + 6/(-9). Let m be 0 + (2 - 0) - -498. Let g = m - v. Is g a prime number?
False
Let y = -516 - -2165. Is y prime?
False
Suppose 100*w + 1556 = 104*w. Is w a composite number?
False
Suppose -5*f = 5*f - 6010. Let q = -20 + f. Is q a prime number?
False
Let d(j) = -11*j**2 + j - 4. Let w(r) = 1. Let o(h) = -d(h) - 3*w(h). Let t = 7 - 9. Is o(t) prime?
True
Let t(x) = 153*x + 2. Let u = -20 - -25. Let m be t(u). Suppose 2*j + r - 3*r = 380, 4*j - m = -3*r. Is j prime?
True
Suppose -7 = 4*t + 5. Let q(y) = -211*y - 2. Is q(t) prime?
True
Let z(p) = 732*p - 429. Is z(9) a prime number?
False
Suppose 22*s - 11*s - 16621 = 0. Is s a prime number?
True
Suppose -2*b + 2*i + 3 + 3 = 0, 0 = -4*b - i - 8. Let d be 391/4 - b/4. Suppose 5*z = -5*o + 398 - d, -3*o - 2*z = -179. Is o a composite number?
False
Suppose -24 = -3*f - 0*f. Suppose 2 = -2*d - f, -2*v = d - 377. Is v a prime number?
True
Suppose 42*o - 41*o = 4. Suppose -u = -o*c + 3*u + 13020, 0 = -2*u + 8. Is c a prime number?
True
Let w(r) = -4262*r + 231. Is w(-8) prime?
True
Let k(c) = 6*c**2 + 3*c - 4. Suppose n + 5 = -0*n. Is k(n) composite?
False
Let n(f) = -f**2 + 18*f + 5. Let c be n(18). Suppose -c - 1 = 3*a. Is (159 - a) + 20/(-10) prime?
False
Let z(s) = s. Let r(u) = -2*u + 10. Let x(f) = r(f) + 3*z(f). Let h be x(-5). Suppose 0 = -h*l - a + 560, 0 = 2*a - 7 - 3. Is l prime?
False
Suppose 2*f + 4*o - 2 = 0, -4*f + 26 = -o - 2*o. Suppose 10 = 2*n, 4*n - 2*n = f*u - 11415. Is u composite?
True
Let x = 171 - -32. Is x a composite number?
True
Suppose -2*q + 3878 = -4*p - 0*p, 2*q + 4*p = 3846. Is q a prime number?
True
Suppose -2*c + 27 = -3. Suppose -c = -5*y, 2*x - 2*y = 3*y + 571. Is x composite?
False
Let o(v) = -694*v - 81. Is o(-8) composite?
False
Let d = -3 - 1. Let x be 30/d*(-4)/6. Suppose -249 = -x*r + 86. Is r composite?
False
Let p(k) = -296*k + 77. Is p(-10) prime?
True
Let j(o) = o**2 - 2*o + 2. Let t be j(2). Let i = t - -4. Is 254*(2 + 3/i) a prime number?
False
Suppose -4*g = -0*g - 16. Suppose l - g*t - 2237 = -6*t, 8981 = 4*l - 3*t. Is l a composite number?
False
Suppose 0 = -4*d + 3*i + 2*i + 45547, 3*d - 3*i - 34158 = 0. Suppose v - 2*r = 3795, 4*r + d = 3*v - 0*r. Is v composite?
False
Suppose -200*s + 17896 = -196*s. Is s a composite number?
True
Let q(b) = -154*b**3 + b**2 + 2*b + 1. Let k(p) = 36*p**2 + 1 - 26*p**3 - 35*p**2 + 2*p - 129*p**3. Let w(v) = 3*k(v) - 2*q(v). Is w(-1) a prime number?
True
Suppose -425 + 93 = -2*t. Let r = t + -69. Suppose 2*s = s + r. Is s composite?
False
Let p = 7891 - 2040. Is p a composite number?
False
Let k(a) = -1 - 55*a - 112*a + 27*a. Is k(-3) prime?
True
Let m(i) = -972*i. Let x be m(-3). Suppose -2329 - x = -f. Is f a composite number?
True
Suppose 0*r + 2*y = -3*r - 1073, -5*y = r + 375. Let d = -1435 - -866. Let v = r - d. Is v composite?
True
Is 18854 + 5*2/(-10) composite?
True
Is (-30)/180 - (-105331)/6 prime?
False
Let y be (2 - (6 + -1)) + 247. Let z = 59 + y. Suppose -1132 = -5*t + z. Is t a prime number?
False
Suppose 3 = -7*v + 45. Let b(u) = -u**3 + 9*u**2 + u + 13. Is b(v) prime?
True
Let b(i) = -i**2 + 8*i + 9. Let d be b(9). Let o(j) = -j**2 + 2*j + 451. Is o(d) prime?
False
Let w(g) = 40*g**2 - 21*g + 220. Is w(9) composite?
False
Suppose 38968 = -0*j + 8*j. Is j composite?
False
Let p(u) = 67*u + 8. Let v be p(4). Let w be (18/8)/(4/592). Suppose 0 = -3*r + w + v. Is r prime?
False
Let u(t) = -t**3 - 5*t**2 - 5*t - 1. Let z be u(-14). Suppose 9*k = 6*k + z. Suppose 2*j - w - k = 0, j = -w + 138 + 172. Is j prime?
True
Let j = 13 - 8. Suppose 12 + 43 = j*w. Suppose -89 = -4*o + w. Is o composite?
True
Let j(h) = 3*h**2 - 2*h. Let k be j(-1). Suppose -461 = -i - 3*n, 2*i - 4*i = k*n - 918. Is i a composite number?
False
Let b = 19077 - 11068. Is b a composite number?
False
Suppose 7 + 13 = 4*r. Suppose r = 2*h - 1. Suppose -w + 252 = 2*w - 3*o, 0 = -h*w + o + 250. Is w composite?
False
Let k(l) = -2*l + 34. Suppose -b - 1 = -4*j, -4*b = -6*j + 2*j + 4. Is k(j) a prime number?
False
Suppose o + 21 = 5*o + a, 3*o - 5*a = 10. Suppose -2*k - o*w + 4063 = 812, -3*w = 3*k - 4890. Is k prime?
False
Let q be -558 + (-2 - (0 + -3)). Let i = q - -810. Suppose 5*k - i - 182 = 0. Is k a composite number?
True
Suppose m + 5 = -3. Let y = 12 + m. Suppose y*z = -w + 432, 4*z - 538 = -4*w - 118. Is z prime?
True
Let z be 2/(9/(-4) - -2). Is ((-1)/(-3))/(z/(-7272)) a composite number?
True
Suppose 889712 - 3300320 = -48*l. Is l composite?
False
Let w be (1 + -5)*13/(-26). Is 527 + (2 - w)/4 a prime number?
False
Let c(n) = 2981*n**2 - 34*n - 146. Is c(-7) composite?
False
Let w(m) = -111*m**3 + 3*m**2 + 5*m + 8. Let v be w(-4). Suppose -5*l + v = -2*c + 7*c, -4*l + 7135 = 5*c. Is c prime?
True
Suppose 1 = 8*y - 7*y. Suppose -15 = -4*c + y. Is (-7 - -214) + (c - 0) composite?
False
Suppose 7 + 3 = 5*k. Suppose 3*m = -2*n - 160, n + k*m + 79 = -0*n. Let l = n + 120. Is l composite?
False
Suppose -t + 45 = -113. Let v = t + 483. Suppose -r - 3*r + i + v = 0, -i - 480 = -3*r. Is r composite?
True
Suppose 7*g - 312 - 38 = 0. Suppose g = -3*u + 407. Is u composite?
True
Is ((-6)/(-4))/(18/1500936) prime?
False
Let r = -377 - -451. Is r prime?
False
Let d(r) = -47*r - 1. Let w be d(5). Let v = -166 - w. Is (-6)/(7/(v/(-4))) a prime number?
False
Suppose h - 4*h = -9. Let d(l) be the second derivative of 3*l**5/10 - l**4/12 + l**3/2 - 3*l**2/2 - 33*l. Is d(h) prime?
False
Let a = -68 - -72. Suppose 0 = a*o - 14994 + 4814. Is o prime?
False
Is -4 - 0 - (-2162 - 1) a composite number?
True
Let i be (112 - 26)*(1/(-2) - -1). Suppose -754 = -d + i. Is d a prime number?
True
Let y(w) = -w**2 + 19*w. Let n be y(17). Let x(c) = c - 6. Let q be x(6). Is n - (-1 + (-2 - q)) prime?
True
Let c be (-1 - 452)/((-27)/(-18)). Let p = 1681 + c. Is p a prime number?
False
Let f(x) = 69*x**2 + 10*x - 4. Is f(-3) prime?
True
Let g = 2507 + 716. Is g composite?
True
Is (-9)/(-12) + (-194418)/(-8) prime?
False
Let i(l) = -5*l - 5. Let s be i(12). Let c = 118 + s. Is c a composite number?
False
Suppose 20*m + 29979 = 134159. Is m prime?
True
Suppose -24 = -4*k + 2*k. Suppose -2*x - k = -5*x. Suppose -4*c - 939 = -5*b, x*b = -4*c + 156 + 624. Is b a prime number?
True
Let k be (87/4)/((-4)/(-16)). Suppose 4*p = -3*l + 314, -l - 4*l + k = p. Is p a composite number?
True
Let g = 304 - -700. Suppose 8*a - g = 4*a. Is a prime?
True
Suppose -7*p - 2*p = 0. Suppose p = 4*m - 8*m + 3508. Is m a composite number?
False
Let i(m) = -22*m - 9. Let n(s) = -3*s**2 + s. Let f = -28 - -30. Let x be n(f). Is i(x) prime?
True
Suppose -5*d = 4*y - 3648, -5*d + 3*y - 4*y + 3657 = 0. Let i = d - 131. Suppose -158 + i = 3*c + 2*o, 5*c = 4*o + 753. Is c composite?
False
Let v(k) = 2*k**2 - 3*k - 5. Let l be v(13). Let n = l + -131. Is n a prime number?
True
Suppose -5*m = 4*h + 12003, -m + 49 + 2945 = -h. Let v = 4532 + h. Is v a prime number?
False
Let o(k) = 57*k**2 - 6*k - 10. Suppose 4*n = 16 + 16. Let r(z) = -z**2 + 7*z + 5. Let v be r(n). Is o(v) composite?
False
Let z = 5544 + -2645. Is z prime?
False
Let r(n) = -63*n - 80. Is r(-3) a prime number?
True
Suppose -36 = 3*o + 156. Let b = 119 + o. Is b composite?
True
Suppose 0 = -a - 2*o + 5*o - 7, -a + 11 = 3*o. Suppose -2929 = 3*q + 5*x, -3*q = a*q - 5*x + 4895. Is (q/(-10))/((-1)/(-5)) composite?
True
Let v = 32 + -28. Is 2103*(4/v)/3 a composite number?
False
Suppose -2923 = -5*a - 943. Is 13/(26/a) + 1 prime?
True
Suppose 0 = 4*g - 2*b - 5478, 4716 = 5*g - 2*b - 2131. Is g composite?
True
Suppose -3*f = -5*d + 130, 0 = -3*d + 3*f - 47 + 125. Let o be d*-15 + 34/(-17). Let j = -201