1. Let z(p) = -12*p + 5449. Is z(c) composite?
False
Let s = -1432 - -2446. Suppose s = 5*q - 1176. Suppose q = 2*b + b. Is b composite?
True
Let b = 14496 - -1934. Suppose -20*n + 33630 = -b. Is n a prime number?
True
Let c = -163 - -5047. Let y = -2831 + c. Is y a prime number?
True
Suppose 5*h - 116*p = -111*p + 10620735, -4*h = 5*p - 8496570. Is h prime?
False
Let z(a) = a**3 + 13*a**2 + 44*a + 18. Let v be z(-8). Let j(c) = -3552*c + 55. Is j(v) prime?
True
Let k(s) = -2*s**2 + 17*s + 6. Let n be k(8). Suppose -3*d + 6792 = -n*f + 15*f, 0 = -4*d + f + 9049. Is d a composite number?
True
Suppose 448*s - 159312 = 445*s + 5*r, 3*s = -2*r + 159291. Is s composite?
True
Let t be (4 + -3)/(1/2). Let n(h) = -8*h**t - 9 - h**2 + 10 + 2*h + 3*h**3. Is n(9) composite?
True
Is 6/21 + 520/91 - 103120/(-4) a prime number?
False
Let x(d) = -32116*d**3 - 2*d**2 - 8*d - 5. Is x(-1) a composite number?
False
Let i(c) = 2*c**3 - 34*c**2 - 16*c - 32. Let r be i(9). Let w be -3*(-3)/2*558. Let b = r + w. Is b a prime number?
True
Let m(r) = -r**3 - 11*r**2 + 12*r - 11. Suppose -4*q - q + 3*i - 74 = 0, 0 = -5*q + 2*i - 71. Let h be m(q). Is ((-11)/(-33))/(1/h) prime?
False
Let f(a) = -52*a - 103. Let b(i) = -i**3 + 6*i**2 + i + 36. Let d be b(7). Is f(d) a composite number?
True
Let y be (14/3)/(28/42). Suppose -2*a - 3*r - 12 = 0, 4*a - 5*a = -5*r - y. Is a + 190*1 + 4 a prime number?
True
Let b be (9866*(-12)/(-32))/(3/(-12)). Let l be b/(-15) - (-4)/10. Suppose -7*m + l = -4*m. Is m a prime number?
False
Suppose 4*z + 5*k - 197022 = 0, 2*z + 4*k - 2*k - 98510 = 0. Is z a composite number?
False
Suppose 0 = 5*z - 20 - 15. Suppose -z*u + 3*u + 4108 = 0. Let d = u + -44. Is d a prime number?
True
Let h(k) = 35*k + 218. Let y be h(-6). Let g be 492 + 3/((-3)/(-2)). Suppose -2*d + g + y = 0. Is d a composite number?
False
Let b(o) = -147*o - 1058. Is b(-31) prime?
True
Suppose 6*q = 3*q + 51. Let c(i) = 292*i + 203. Is c(q) a composite number?
False
Is (-118 + 12)*(8985/10)/(-3) a prime number?
False
Let o = 394916 - 234491. Is o/21 + (-2)/7 + 0 a composite number?
False
Let z be (-24)/48*(13 + -2 + 3). Let w(q) = -1927*q + 48. Is w(z) prime?
True
Let j(l) = -l**3 + 5*l**2 - 14*l - 5. Let g be j(-13). Suppose -234 = -r + g. Suppose 0 = -3*f + 5*p + r, f - 5*p = -f + 2302. Is f prime?
True
Suppose -2*v + q - 20143 = 0, 6 = -3*q - 3. Is ((0 + 3)/3)/((-7)/v) a prime number?
True
Let a be (-613655)/25 - ((-112)/35 + 3). Is (1/(-1))/(6/a) a prime number?
True
Let j(w) = -25*w**2 + 105*w - 1. Let t be j(14). Let y = -504 - t. Is y a prime number?
True
Let q(c) = -3*c + 21*c + 41*c**2 - 7*c**2 + 13. Is q(8) a prime number?
True
Let u = -144 + 140. Let m(n) be the third derivative of -347*n**4/24 + 3*n**3/2 + 3*n**2. Is m(u) composite?
True
Let x(g) = 1763*g**2 + 3*g + 11. Let v be (-34 + 33)/(2/6). Is x(v) prime?
False
Suppose m - 4*f = 296501, 28 = -17*f + 13*f. Is m a composite number?
False
Let b(v) = 615*v**2 - 90*v + 82. Is b(-29) composite?
False
Suppose 3*k + 5*s + 10 = k, 5*k - 3*s - 37 = 0. Suppose 3*r - h - 27 = -10, k*h - 5 = -3*r. Suppose 0 = -4*q - o + 2838, -r*q + 3*q + 1416 = -o. Is q prime?
True
Suppose -3*u + 1 + 26 = 0. Suppose 9 = -u*z + 6*z. Is (-3)/(-2)*z*20598/(-27) prime?
True
Let h be -12*(1 + (-12)/(-16)). Let k = -19 - h. Suppose 3*z + 1440 = 5*a + 6*z, 0 = k*z + 10. Is a composite?
True
Let v be 0 + (3 - (3 + -1)). Let z be 3 - ((-5961 - 2) + (-2)/v). Is (-2)/10 + z/40 a prime number?
True
Is (207310/25)/((-168)/35 - -5) prime?
False
Suppose -2*d + 10 = 0, -3*o + d + 3*d - 20 = 0. Suppose -36*n + 48*n - 14748 = o. Is n composite?
False
Suppose 3*v + 41*r - 40*r - 1614746 = 0, 2*v + 2*r = 1076504. Is v prime?
True
Let w(q) = 54*q**2 - 2*q - 2. Suppose 2*k + 2*r - 10 = 0, 2*k + 5 = 3*r - 0. Let h be w(k). Is (67/2)/(15/h) a prime number?
False
Let s be 2*(12 + -2) + -2. Suppose -2*b = -4*x - s, b - 4*x = -3*x + 12. Let a = b - -6. Is a composite?
True
Let p = -59 + 56. Let c(l) = -1074*l - 19. Is c(p) a composite number?
False
Let t(p) = -161970*p - 1637. Is t(-10) a composite number?
True
Let n = -1170 - -2878. Suppose -q + 1025 + n = 0. Is q a composite number?
True
Let d(b) = 9635*b**2 - 69*b + 141. Is d(2) prime?
True
Is ((-3813754)/(-42))/(10/(-270)*-9) a prime number?
True
Suppose -c + 2*f = -5*c + 7328, -2*c + 3652 = 4*f. Let p = c - -4845. Is p a prime number?
True
Let f(s) be the first derivative of -9*s**4/2 + 37*s**3/6 - 15*s**2/2 - 1. Let d(n) be the second derivative of f(n). Is d(-10) a prime number?
True
Let x = 7324 + 1333. Is x a prime number?
False
Suppose 1701622 + 598412 = 33*r - 247269. Is r composite?
False
Let a(l) = 15*l**2 - l - 13. Suppose -3*t + 23 = 11. Is a(t) a prime number?
True
Let h be 16/88 + 10349/11. Suppose -682 = -3*i + h. Is i composite?
False
Let s(g) = -2*g + 5. Let f be s(-7). Let o(t) = 58 + f*t + 16*t - 36*t. Is o(-19) composite?
True
Suppose 1365 = 11*x + 1354. Suppose 4*q - 70394 = -2*a, 8 = 3*a - x. Is q a prime number?
True
Suppose l - 2 = 3*l. Let v(z) = 100*z**2 - 4*z - 2. Let m(a) = 50*a**2 - 2*a - 1. Let y(u) = 5*m(u) - 2*v(u). Is y(l) a composite number?
True
Let t(h) = 14*h**2 + 74*h + 1987. Is t(-85) composite?
False
Suppose 2*l + l - 183289 = -4*s, 6*s = 24. Is l prime?
True
Let g(z) = 443*z - 451*z + 2 + 12 + 133*z**2 - 3. Let r(m) = -m**2 - m - 1. Let h(s) = g(s) - 6*r(s). Is h(-6) a prime number?
False
Suppose -32*q - 129 = -1. Is (2 - 45/36) + (-15253)/q composite?
True
Let d(o) = -6*o**3 + 16*o**2 + 47*o + 127. Is d(-26) prime?
False
Is 32749059/35 + (-7 - 198/(-30)) a composite number?
False
Let h be (-6)/(-8) + (-423)/4. Let v be (-106830)/(-11) - (3 - h/(-33)). Suppose -256 = -2*p - 4*s + 9446, 0 = 2*p - s - v. Is p composite?
True
Suppose 213061 = 5*i - j, -13*j - 213079 = -5*i - 9*j. Is i composite?
False
Let u = 1011 - 247. Let w = -550 + u. Is w a prime number?
False
Let o(t) = 7385*t**3 - t**2 - 29*t + 129. Is o(4) prime?
False
Suppose 533*z - 528*z - 47985 = 0. Let y = -4244 + z. Is y a prime number?
False
Let k be (-11 - -3 - -97683)*4. Suppose 13*g + k = 33*g. Is g prime?
False
Let z(f) = 2*f**2 + 5*f - 3. Let i be z(-4). Suppose -12*u + 3888 = -i*u. Suppose 7*n = -u + 6329. Is n composite?
False
Let z = 1815 - -2198. Let b = z + -1960. Is b composite?
False
Suppose -10*z - d - 2139523 = -13*z, -3*z + 2139427 = -13*d. Is z prime?
True
Let f(w) = -2*w**2 + 34*w - 2. Let r be f(17). Let p(o) = -3705*o + 1. Is p(r) a prime number?
True
Let i be (-3 - -4)*0/(-2). Suppose -2*x - 5*d - 1 = 0, -3*x + i*x - 2*d + 4 = 0. Let f(l) = 6*l**3 - 4*l**2 + 2*l + 1. Is f(x) composite?
False
Suppose -16*m - 3*m = 3534. Let o = m + 1153. Is o a composite number?
False
Let w = 13790 + -1597. Is w a prime number?
False
Suppose -119*x = -194*x + 2111325. Is x a prime number?
True
Let f(k) = 3*k**3 - 3*k**2 - 6*k - 13. Suppose 0 = -u + 3*r - 0 + 6, 0 = -5*u - r + 46. Suppose 3*q - 5*h = -0*h + 43, q + u = -3*h. Is f(q) a composite number?
False
Suppose 14*y + 16058 = 163254. Suppose 0 = -5*b + 5, -2*b - y + 2744 = -4*j. Is j prime?
False
Suppose -q = 3*p + 14309 - 72513, -232840 = -4*q - 4*p. Is q prime?
False
Let s = -156190 + 366797. Is s a prime number?
False
Let d = -42915 - -11969. Let b = d + 47279. Is b prime?
True
Let a be (-23387)/(-3) + 4/(-108)*-9. Suppose -a = 183*v - 187*v. Is v a composite number?
False
Suppose 5*n + 1 = 46. Suppose -47888 = -n*m + 119143. Is m a composite number?
True
Suppose 2*p - 5*p + 3417 = 0. Suppose -3*y = -2*v + 6*v - p, -y + 5*v + 367 = 0. Is y composite?
True
Suppose 0 = 5*c + 2*x - 20, 0 = 3*x - 0*x. Is 59216*c/12 - (-5)/15 composite?
False
Suppose -2*s + 7765 = -5*c, 0 = -2*s - 2*c + 2878 + 4908. Suppose 8770 + s = 5*n. Suppose -n - 778 = -10*p. Is p a prime number?
True
Let i(z) = -46*z - 192. Let m be i(-4). Is 8*4/m*4106/(-8) prime?
True
Let q(k) = 8*k**3 - 8*k**2 - 6*k - 45. Is q(8) a prime number?
True
Let g(n) = 4*n**2 + 6*n - 5. Let a be g(4). Let k = 85 - a. Suppose k*v - 713 = 705. Is v composite?
False
Let b(g) = -24*g + 11. Let u be 3*4/(-30) + (-232)/(-5). Let l = u + -53. Is b(l) prime?
True
Let q be 7 - (-1606 - -3 - -3). Suppose 4*h - 4238 = -2*t, 2*t - 3*h - q - 2666 = 0. Is t a prime number?
True
Let d(o) = 8*o**2 - 4*o - 1. Let w 