 g(f) = -f**3 + 3*f**2 - 9*f + 11. Let p be g(8). Let k = p - -1068. Suppose -2*s - 983 = -3*u, 6*u - k = 4*u - 5*s. Is u a composite number?
False
Let a(o) be the second derivative of o**4/12 - 5*o**3/6 + 11*o**2/2 + 4*o + 2. Is a(15) prime?
False
Let n be 1*(-7323)/9*-3. Let w = -55 + n. Is w prime?
False
Suppose -4*l + 1240271 = -31*d + 36*d, -1240251 = -5*d + l. Is d prime?
True
Is 20446329/124 + 10/8 composite?
True
Suppose 0 = -7*r - 0*r. Suppose -l = -5*c + 5982, 4*c - 4797 = -r*l - 3*l. Let u = 1720 - c. Is u a composite number?
False
Let m(a) = 4*a - 2. Let z be m(1). Let g(n) = n - 2. Let q be g(z). Suppose q = y - 5*w - 292, -3*y + 1303 = -4*w + 372. Is y a composite number?
False
Let s(a) = 83 - 4*a**2 + 55 + 5*a**2 + 12539*a - 12531*a. Is s(-31) a composite number?
True
Let n = 5605 + -12430. Let c = n + 15523. Is c composite?
True
Suppose 66 = 5*o - 54. Let z = -431 - o. Let h = -244 - z. Is h prime?
True
Suppose 3*m - 3*l - 884275 = -73831, -2*m + 540332 = 4*l. Is m prime?
False
Suppose -10*o - 197 + 137 = 0. Is (o - -3761 - -1) + 2/(-2) composite?
True
Let i(y) = -2348*y - 4441. Is i(-10) a prime number?
False
Suppose -51*y + 3557725 = -26*y. Is y a composite number?
True
Let y be 2/(-23) + 44487/(-207). Let x = y - -10006. Is x a composite number?
False
Suppose 5*a = 11402 + 3213. Let n = a + -1874. Is n prime?
True
Suppose -13*t + 20*t = 7. Is (176451/22)/((-2)/(-4)*t) prime?
False
Let p(r) = -r**3 + 37*r**2 + 41*r - 122. Let z be p(38). Is (z/(-14))/(28/2254) composite?
True
Suppose -41*f - 81*f = -11*f - 21783417. Is f composite?
False
Let u be 9/(-24) + (-11445)/(-120). Is 19/(u/30) + 5027 a prime number?
False
Let l(y) = y**3 + 5*y**2 + 4*y - 2. Let i be l(-2). Let m be -30 - -31 - (i + 1). Is m/4*-1*(-476)/(-2) a composite number?
True
Let x(t) = 4250*t**2 + 372*t + 4175. Is x(-11) composite?
False
Suppose 0 = -56*r + 49*r + 780682. Is r prime?
False
Suppose -15*t + 90 = 15*t. Suppose 0 = 3*z - 9, -4*g - z = t*z - 2536. Is g a prime number?
True
Let l(i) be the first derivative of -i**5/8 - 4*i**4/3 - 2*i**3/3 + 19. Let u(z) be the third derivative of l(z). Is u(-17) a composite number?
False
Let y be ((-23705)/22)/((-3)/18). Suppose -3*f - y = -2*m - 47688, 5*f = 3*m + 68704. Is f composite?
True
Let q be (-818)/(-8) - 15/(-20). Let g = q + -87. Suppose 12*o + 14988 = g*o. Is o composite?
True
Let q(z) = -8*z**3 + z**2 - 70*z + 30. Is q(-17) a composite number?
False
Suppose 4*r - 4 = 5*r. Let n be (6/r)/(24/(-80)). Suppose d - 1593 = -5*x, 5*d = -n*x + 1231 + 354. Is x prime?
False
Is (-4)/(-38) + (-206299050)/(-950) composite?
False
Suppose 2*h + 51337 = -5*n + 400598, 0 = 4*n + 2*h - 279410. Is n composite?
True
Let x(a) = -113*a**2 + 5*a + 7. Let v(y) = 7*y + 23. Let l be v(-3). Let u(r) = -114*r**2 + 6*r + 7. Let i(j) = l*u(j) - 3*x(j). Is i(4) prime?
False
Let t be 19668/(-8) - 3/2. Let j = t - -3497. Is j a composite number?
True
Let w(y) = y**2 - 5*y - 7. Let l be w(6). Let q be (1 - (2 - l))*1. Is (1/q)/(8/(-16))*3163 a composite number?
False
Suppose -157*n + 158*n + 61243 = 2*q, -3*q + 3*n + 91872 = 0. Is q prime?
False
Let p be 0 + 12/21 + 15328/28. Let n = p - -890. Let s = n - 999. Is s a composite number?
False
Let q(b) be the second derivative of -703*b**3/3 + 23*b**2/2 - 49*b. Is q(-3) composite?
False
Let z be 1 - (2 - (0 + 2 + 2)). Suppose -z*x - 2 = -2*x, -2052 = -5*h - 4*x. Let s = 649 - h. Is s a composite number?
True
Suppose 4*f + 12 = 0, 3*k + 20*f - 23*f + 35349 = 0. Let w = k + 18323. Is w a prime number?
False
Let t = -33093 + 68764. Is t composite?
False
Let o(d) = 65127*d + 259. Is o(2) prime?
True
Let x(i) = 4*i**2 + 54 - 3*i**2 + 7*i - 47. Let h be x(-2). Is ((-2)/h)/((-8)/(-17412)) a composite number?
False
Suppose -o + 18723 = u - 11567, 5*o + 4*u = 151449. Is o a prime number?
False
Let b(v) = 164984*v + 16175. Is b(7) prime?
False
Suppose 0 = 10*u - 60 - 10. Suppose 0*a = -u*a + 21. Suppose 0 = -y + j - 86 + 567, 6 = -a*j. Is y composite?
False
Suppose 8*m + 5 = -35. Let t be (m/10)/(7/(-8) + 1). Is (7446/24)/((-1)/t) a prime number?
False
Let l(q) be the third derivative of -52*q**4/3 - 15*q**3/2 + 2*q**2 - 22. Is l(-2) prime?
True
Let r be 18/(-27) + 25679/3. Let u = 18422 - r. Is u prime?
False
Let u(p) = -3*p**2 - 41*p - 3. Let c = -73 + 63. Let o be u(c). Suppose o*y = 105*y + 4146. Is y a composite number?
True
Let w(f) = 11*f**2 - 64*f - 241. Is w(53) a composite number?
True
Let r(v) = 39390*v + 7651. Is r(9) a composite number?
False
Let l be 1*5241 - 40/(-10). Suppose 0 = -7*o - l + 24950. Is o a prime number?
False
Let a(c) = -662*c - 1059. Is a(-23) composite?
True
Suppose -683 - 457 = -2*u. Suppose 3*s + 3*s - u = 0. Suppose -2*m + 2 = 0, 2*i + m - s = 502. Is i composite?
True
Let k = 132 - 127. Suppose 3*u - 1181 = -k*n, 2*u = -0*u + 4*n + 802. Is u prime?
True
Suppose -15*u = -4*u - 22891. Let m = u - -2298. Is m prime?
False
Suppose -32923538 - 44847976 = -650*o + 13628236. Is o a composite number?
True
Let q(h) = -1945*h - 2347. Is q(-38) a prime number?
True
Suppose -5*q - 29804 - 24544 = -2*s, -4*q - 135887 = -5*s. Is s composite?
False
Suppose -4*k = -9*k - 3*o - 12, -3*o - 12 = -5*k. Suppose k = -2*p - 3*l + 770, -4*p - 6*l + 1500 = -10*l. Is p prime?
True
Suppose 12745*o - 12683*o = 23722502. Is o prime?
True
Suppose o - 1 = 4*h + 24, 4*o = -h + 32. Suppose -5*n = -o*n. Suppose n = -4*w - 3*w + 12859. Is w prime?
False
Let a = -33916 - -37765. Let l = -1363 - -3813. Let b = a - l. Is b a prime number?
True
Suppose 133*z - 1901942 = -228*z + 47968764. Is z prime?
False
Suppose a - 3*z = 17215 + 18315, 4*a = -3*z + 142075. Is a a composite number?
False
Let r be 18932/14 - 2/7. Let s = 1385 - 2328. Let m = r + s. Is m prime?
True
Suppose 3*b + 2*u + 21 = 0, 7*u - 28 = 4*b + 2*u. Let f be (-3 - -4)*(b - (-4 + 3)). Let z(a) = -24*a**3 - 11*a**2 - 10*a + 13. Is z(f) composite?
False
Suppose -162*f + 167*f = -465. Let v = f - -4784. Is v a prime number?
True
Is 0 + (-12)/(-26) - (-1774741)/13 a composite number?
False
Suppose 108084 - 357903 = -2*l - 5*c, 124912 = l + 3*c. Is l prime?
True
Let i(v) = 381*v**2 + 144*v - 323. Is i(21) a prime number?
False
Let i(u) be the second derivative of u**5/12 + 17*u**4/24 + 8*u**3/3 + 11*u. Let w(m) be the second derivative of i(m). Is w(7) a composite number?
True
Suppose -5*t - 48 = 5*r + 12, 41 = -3*t - 2*r. Let f = t + 17. Suppose 3*i - 2*i - 141 = f. Is i a composite number?
True
Let d(u) = 49*u + 4. Suppose 0 = 4*z + 3*h - 237, 0 = 5*z - 0*h + 3*h - 294. Suppose -6*p - 15 = -z. Is d(p) prime?
True
Let d = 3142 - 2155. Let x = 2514 - d. Is x a composite number?
True
Let k(y) = -27*y**2 + 72*y**2 + 10*y + 1 - 9*y + 104*y**2. Let p be 4/(-1) - 12/(-4). Is k(p) a prime number?
True
Let g(d) = 1361*d - 9*d**2 + 39*d**3 - 1367*d + 2 + 3. Is g(4) a composite number?
False
Let a be ((-8)/6)/((-4)/3). Is a*-1*(-6 - 1815) a composite number?
True
Suppose 53*y - 2655884 = 9*y. Suppose 0 = 5*u - 2*j - y, 4 - 16 = 4*j. Is u a prime number?
True
Suppose 4*d + 4*n + 9576 = 0, -4*d - 5*n = 2944 + 6628. Let y = d - -9247. Suppose -88*b + 91*b - y = 0. Is b a composite number?
True
Let k(l) = 4*l + 14. Let s be 63 + (-4)/10*(-55)/(-11). Suppose 0 = -5*p + 2*u + 136, p + p = 3*u + s. Is k(p) composite?
True
Let k = -612 + 625. Suppose -12*l + k*l - 5*d = 8892, -5*l - d + 44408 = 0. Is l a prime number?
False
Let l(t) = -t**2 + 6*t - 23. Let i be l(10). Let r = 67 + i. Suppose r*j = 6338 + 946. Is j prime?
False
Suppose -5*q - 4*w + 417493 = 0, -q + 282*w + 83507 = 287*w. Is q composite?
False
Let r(i) = -32*i**2 + 25*i + 26. Let h(t) = -48*t**2 + 37*t + 39. Let b(q) = -5*h(q) + 7*r(q). Suppose 3*p + 30 = -2*p. Is b(p) a composite number?
True
Suppose -3*j = -0*z - 5*z - 62, -4*j + 48 = 2*z. Suppose 2*u - 12 - j = 0. Is 150879/247 - (-2)/u a composite number?
True
Suppose -4*u + 2*s = -353728, 13*u = 18*u - 4*s - 442169. Is u prime?
False
Is (-10398355)/(-209) + -6 - -4*1/38 a composite number?
False
Suppose -369 - 606 = -25*g. Let b(t) = t**3 - 35*t**2 - 6*t - 17. Is b(g) prime?
False
Let i(g) = 101*g**2 + 69*g + 947. Is i(-21) prime?
False
Suppose -2744095 = -5*d - 5*n, 83*d - 4*n = 78*d + 2744167. Is d prime?
True
Is (1754/(-6))/(96/(