
True
Let j = 227 + -1406. Let o = j + 1862. Is o composite?
False
Suppose 2436*d - 2435*d - 52853 = 0. Is d a prime number?
False
Let x(v) = 915*v. Let d be x(-1). Let h be 5342/4 - -3*(-22)/44. Let a = h + d. Is a a composite number?
False
Suppose 23*d - 8*d + 216967 = 2767672. Is d a prime number?
True
Suppose -31851228 = -103*w + 82*w - 12277233. Is w a composite number?
True
Suppose -21*c + 13 = -50. Let k(p) = 328*p**3 + 5*p**2 + 2*p - 4. Is k(c) prime?
False
Suppose -40*o + 41*o = 9. Suppose o*g - 18*g + 214713 = 0. Is g prime?
True
Let j(r) = 9*r + 97. Let o be j(-11). Is o - (4 - 6) - -767 a composite number?
True
Suppose 4*w - 29 = -4*l + 11, 2*w + 15 = 5*l. Suppose l*p = -2*q + 368, 2*q = -5*p - q + 367. Is p a composite number?
True
Suppose 49*g = 2195174 + 376493. Is g a composite number?
True
Suppose -4*b + 5*b = -1. Let a be (-21 + 21)/((b + -1)/1). Suppose -u + a*u - 2*z = -777, 4*u - 3173 = 5*z. Is u composite?
False
Suppose -431 = -b + 3*a, -4*a + 9*a = -10. Let p = b - -98. Is p composite?
False
Let l = 22 - 20. Suppose h = -l*h + p + 6, -4*p + 6 = -2*h. Is 146 + h*(2 + -1) a prime number?
True
Let i = 574041 + -264818. Is i prime?
True
Let l(q) = 32*q**3 - 3*q - 2. Let x be l(3). Suppose -x = -a - 4*h, 1 = -h + 3. Let t = -526 + a. Is t composite?
True
Let w be (33/(-15))/(-4 + (-59)/(-15)). Suppose 0 = -4*u - 20, u + 8913 = w*k - 29*k. Is k composite?
True
Let z(r) = -129*r**2 + 6*r - 17. Let l be z(4). Let x = l - -4359. Is x a composite number?
True
Suppose -131009 = -30*f - 22379. Let r = 1170 + f. Is r a prime number?
False
Suppose 0 = -2*l - 4*i - 6416 - 19988, i = 3. Let f = l - -26057. Is f a prime number?
False
Let h be ((32/(-12))/(-8))/(2/6). Suppose -6*r - h = -25. Suppose 4*w + 1904 - 406 = c, -4*c + r*w = -6040. Is c a prime number?
False
Let b = -2645565 - -4114440. Is (-2)/(-4) - b/(-150) composite?
True
Is 3/(-12)*(-6203376 + -28) prime?
True
Suppose 3*c - 183229 = 4*n - 63440, 5*c = -2*n + 199631. Is c composite?
True
Let d be (39/(-2))/(2/4). Let s = 27 + d. Is (3 - 1)/((s/(-39))/2) a composite number?
False
Suppose -4*p + 4*q - 7*q + 63 = 0, -5*p - q = -65. Suppose -p = -4*l - 2*l. Suppose -2*b + l*z + 762 = 0, 4*b - 1524 = -3*z + 2*z. Is b prime?
False
Let n(x) = x**3 - 8*x**2 + 13*x + 12. Let w be n(5). Suppose -2*v + 361 = -3*v + 2*d, -5*d = -w*v - 718. Let b = -178 - v. Is b composite?
False
Let a = -9787 + 19506. Is a a prime number?
True
Suppose -5*w + 60 = -w. Let m be 5/w*5499/3. Let c = m + -420. Is c prime?
True
Suppose 13*c - 49901 = -7*c + 5239. Is c composite?
True
Let q = 5146 + 1558. Let p = q + -3543. Is p composite?
True
Suppose -569090 = -5*u - 2*s + 285, 3*u = 3*s + 341604. Is u a composite number?
True
Let q = -83 - -86. Suppose -4*p = -3*m - 9, -m + 4 = q*m. Suppose -1336 = -p*n + 3881. Is n composite?
True
Suppose 18*h + 0 = 54. Suppose 107249 = h*m - 107434. Is m a composite number?
True
Suppose 3*d - 534007 = 2*l, d - 117505 = l + 60498. Is d composite?
False
Let u(v) = -75*v - 60. Let m be u(-3). Is (-12)/10 + 35013/m a composite number?
False
Suppose -17*p = -3*p - 753013 + 54399. Is p a prime number?
False
Let c(x) = 311*x + 8. Let u(g) = g**2 + 2*g + 2. Let f be u(0). Let m be c(f). Let y = 901 - m. Is y composite?
False
Suppose -34842*m - 37284842 = -34876*m. Is m composite?
True
Let o(b) = 20*b**3 + 7*b**2 + 7*b + 7. Let d be o(-4). Let j = d - -2037. Let t = -462 + j. Is t a prime number?
False
Suppose -6*p - 26 + 68 = 0. Is (77 - 7)/p*137/2 a prime number?
False
Let a be 2/3 - 59*(-4)/(-12). Let y = 30 + a. Suppose -443 = y*i - 12*i. Is i composite?
False
Let f be 1 - -1530 - -1*2. Suppose 0 = 443*p - 473*p + 92 + 58. Suppose 2*z + f = p*a, -z = -5*a + 2*z + 1532. Is a composite?
False
Let o be (10/4)/(-2*(-1)/4). Suppose -o*r - 3*j = -19984, -7*r + 2*r + 19992 = -j. Suppose -2*p - 3*f = -r, -2*f = -0*p + p - 2001. Is p composite?
False
Let z = -373 - -373. Suppose z = 30*p - 5*p - 94975. Is p prime?
False
Suppose 119*s - 140*s + 92211 = 0. Is s a composite number?
False
Suppose -18*v + 22*v + 1600428 = 0. Is v/(-63) + 6/63 + -4 composite?
True
Suppose -3 = -n - 3*j, j - 5 = 4*n - 4*j. Suppose 2*y + y - 4905 = n. Suppose -2*d - y = -5*d. Is d composite?
True
Suppose 22927 = 4*w - 2*i - 430633, 5*i = -w + 113357. Is w prime?
False
Let q(a) = 196*a - 137. Let w = 173 + -163. Is q(w) a composite number?
False
Suppose -50*g + 23619438 = 112*g. Is g composite?
False
Let r be (1372372/(-927))/((-2)/(-9)). Let m(x) = x**2 + 3*x - 8. Let n be m(-6). Is 44/55 - r/n a prime number?
False
Suppose 36*b = -51*b + 20862861. Is b a prime number?
True
Suppose 3*q = 6*q - 4*k - 7022, -5*q + 4*k + 11714 = 0. Let z(w) = 24*w**2 + w + 13. Let m be z(-10). Suppose -q - m = -3*i. Is i a composite number?
False
Suppose 48*n = 49*n - 996. Suppose -n*x = -1002*x + 22812. Is x a prime number?
False
Let c = 886 - 910. Is c/(-16)*838 - (4 - 0) prime?
False
Let w(u) = -10*u - 43. Let y be w(-5). Is (y - 3 - 5)*1*-6593 prime?
False
Let n(y) = 4*y + 482*y**2 - 1 - 14*y + 3*y + 9*y. Let t be n(1). Suppose -2*j + j + 4*g = -161, -t = -3*j + 4*g. Is j prime?
False
Let y be ((-52)/(-12) + -1)*36/30. Suppose -m - q = 2*q - 947, 5*m + y*q = 4713. Is m a composite number?
False
Suppose -5*t + 7214042 = 166*t - 5159347. Is t a composite number?
True
Suppose -1173994 = -22*k + 156544. Is k a composite number?
True
Let k(z) = -4*z - 21. Let j be k(-6). Suppose -m - j*m = -1368. Suppose -5*u + m = -433. Is u composite?
True
Suppose 5200015 = 5*x + 2*m, 0 = 58*x - 59*x + 4*m + 1040025. Is x a prime number?
False
Suppose 39239204 = 299*u - 25170518 - 75929815. Is u composite?
False
Suppose -3*q + 5*p + 8811 = 0, -6417 = -3*q - p + 2358. Is q composite?
False
Suppose 2*s - g + 2686 = 3*s, g + 10734 = 4*s. Suppose s = 5*a - 4171. Is a prime?
False
Suppose 4*k - 1316581 - 1551943 = 4*r, -5*k + 16*r + 3585567 = 0. Is k a composite number?
False
Suppose -8*b = -59*b + 19135353. Is b a composite number?
False
Let q(n) = n**3 + 6*n**2 - 18*n - 12. Let j(a) = -7*a**2 + a. Let w be j(-1). Let h be q(w). Suppose -y + 101 = r - 5*y, 455 = h*r + y. Is r composite?
False
Let v be 26/((-4938)/(-617) - 8). Suppose -14*f - p = -13*f - v, f + 4*p - 8015 = 0. Is f prime?
False
Suppose -5*h + 23 - 8 = 2*o, -2*o = 2*h - 6. Suppose -3*f - 124 = -r - 0*f, -359 = -h*r - 4*f. Is r prime?
False
Let v = 54904 + 33603. Is v a prime number?
False
Let k = -1246 + 6585. Let p = -3632 + k. Is p prime?
False
Suppose q + 4*q = -t, 0 = 4*q + 20. Suppose 0*a - 5*a = 5*f + 2330, -t = -5*a. Is (-1)/(((-18)/f)/(-6)) a prime number?
True
Suppose -574*i = -540*i - 111214. Is i a prime number?
True
Suppose -c = 26*l - 24*l - 8330, -4*c + 8318 = 2*l. Let o = l + -1988. Is o a composite number?
False
Suppose -24 = -3*w + 186. Let h = -70 + w. Let g(c) = -2*c**3 - c + 1477. Is g(h) composite?
True
Let o(y) = y**3 + 20*y**2 + 31*y - 77. Let b be o(-18). Is (-7944)/(-8)*b/3 a prime number?
False
Let s be (-1)/3 + (-3490)/(-3). Let r = -4570 - -4574. Suppose 1529 + s = r*g. Is g a prime number?
True
Let p(c) = -c**3 - 26*c**2 - 26*c - 27. Let i be p(-25). Let b be i + (-57)/(-6) - (-2)/(-4). Suppose g = b*g - 18390. Is g a prime number?
False
Let i = 6616 + -3256. Let r = i + -5786. Let x = r - -3495. Is x prime?
True
Let g be 1259*(1 + (-2 - 0)). Let d(x) = -4*x**2 - 26*x + 368. Let a be d(-27). Let i = g - a. Is i a prime number?
True
Suppose 0 = j + 4, -3*t - 5*j + 15096 = -2*j. Suppose 44*f - 48*f = -t. Is f a prime number?
True
Let r be (-4)/(-12) + ((-31)/3 - -4). Is 8901 - 1 - (r + 4 - 1) a prime number?
False
Let h(m) = -2*m**2 - 9*m + 84. Let w be h(-23). Let s = w - -2848. Is s a composite number?
False
Let f(d) = -1233*d + 29. Let n be (-3)/(35/(-10) - -5). Is f(n) composite?
True
Is 2846841 + ((-140)/910 - (-6)/39) composite?
True
Suppose -9 = -5*u - 4, -5*k + 520 = 5*u. Let g = k - 106. Is 65/45*g*-15 a composite number?
True
Let t = -88 - -140. Let v = t + 3. Is v a prime number?
False
Suppose -7353 = -2*k + 1259. Is k a composite number?
True
Let y = -413 - -11299. Suppose 19*h + y - 36783 = 0. Is h prime?
False
Let t(v) = 5*v**3 - 3*v**2 - 5*v - 1. Let o be 2 - (3 + -2) - (-2 - 0). Suppose 6*q = o*q + 12. Is t(q) a prime number?
True
Suppose