umber?
True
Let u(b) = -2*b - 2. Let w(d) = d**3 + d**2 - 2*d - 1. Let k be w(-2). Let q be u(k). Let h(p) = -2*p**2 - p + 127. Is h(q) prime?
True
Is (443/2)/((15/(-40))/((-6054)/8)) prime?
False
Let g(c) be the third derivative of c**4/3 - 23*c**3/3 - 27*c**2. Let x be g(6). Suppose 0 = 4*h - x*r - 1370, 3*h - 1011 = -4*r - 0*r. Is h a composite number?
True
Is 42835/(-2)*((-304)/(-40) + -8) prime?
False
Let c(p) = 4*p**3 - 73*p**2 - 94*p + 65. Is c(31) a prime number?
False
Suppose 2*k + 1054 = 2*q - q, -3*q = 3*k + 1590. Let u = k + 2012. Let p = -531 + u. Is p composite?
False
Suppose 10*p - 362 = -1162. Let g = p + 88. Let s(a) = 3*a**3 - 9*a**2 - 6*a - 11. Is s(g) a prime number?
False
Suppose 50*k - 5443342 - 27860608 = 0. Is k composite?
False
Let g(t) = 3*t**2 + 4*t - 3. Let o be g(-8). Let f be 5 + 0 - (11 + 48). Let s = f + o. Is s prime?
True
Suppose 5*y = n + 420604, 56*y - 51*y - 420600 = 5*n. Is y a composite number?
False
Let i = 73037 - -11568. Is i prime?
False
Let t(k) = -k**3 - 4*k**2 + 31*k - 8. Let i be t(-8). Suppose 2*v + 0*v - 22702 = i. Is v a composite number?
False
Suppose -4*z = 2*h + 38, -4*h - 31 - 13 = 4*z. Let q(a) = a**3 + 7*a**2 - 11*a - 20. Let l be q(z). Suppose 0 = -l*u + u + 3951. Is u prime?
False
Let r be -2334*9/(-3) - 5/(-5). Suppose 3*z = -p + r, -3*p - 11681 = 5*z - 10*z. Is z composite?
True
Suppose 2*p - 1292 + 290 = 0. Suppose 16*s - 21*s + 530 = 0. Let k = p - s. Is k a prime number?
False
Let c be 4/2*(20/(-5) - -2369). Let q = c + 1877. Is q prime?
True
Suppose 16*g = -160*g + 28*g + 9531052. Is g prime?
True
Let o(u) be the second derivative of -79*u**3/2 - 4*u**2 - u. Let t = 104 - 111. Is o(t) prime?
False
Suppose 0 = -3*d + 5*d - 6. Suppose -2*k - 2*c = k - 8977, 0 = d*k - c - 8989. Is k a composite number?
True
Let m(x) = 914*x**3 - 5*x**2 + 25*x - 99. Is m(5) a prime number?
False
Suppose 2*k = -2*z + 11 + 5, -k + 14 = 3*z. Suppose -k*d + 38546 = 3*c, -9*d + 4*c = -4*d - 38567. Is d composite?
True
Suppose 13017802 = 33*w + 6*w - 3562931. Is w prime?
True
Let z(b) = 13*b**2 + 245*b + 9. Let g be z(-60). Suppose -g = -21*d - 0*d. Is d a composite number?
True
Suppose 3257 = 5*i + w, 4*w = -4*i + 3*i + 640. Suppose -14*s - i = -16*s. Is s a composite number?
True
Suppose -494*a + 499*a = -2*t + 474595, -5*a + t + 474610 = 0. Is a a prime number?
False
Suppose 206 = -12*n - 10. Is 3/(n/4786)*-3 a prime number?
True
Let a = 434900 + -308077. Is a prime?
True
Suppose -k = -3*c + 303058, 3*k - 456205 = -4*c - 52106. Is c a composite number?
False
Let b = 8 - 8. Suppose -12*s - s + 65 = b. Is s/30 - (-1145)/6 a composite number?
False
Let o(n) = -274*n - 9. Let b(z) = 2*z**2 - 9*z - 4. Let d be b(5). Let l be o(d). Let y = l + 468. Is y a prime number?
False
Suppose -3*z + 17*z - 756 = 0. Is z - 56 - (-5275)/1 prime?
True
Suppose 0 = -10*q + 3266718 + 4912. Is q prime?
True
Let w(p) = 130*p**3 + 34*p**2 + 18*p + 14. Is w(6) a prime number?
False
Suppose 0 = -3*q - 4*q - 49. Let n(r) = -709*r - 26. Is n(q) a prime number?
True
Let x be (21/(-28) - 4/(-16))*-2186. Let r = x - 180. Is r prime?
False
Let u(v) = 42400*v + 719. Is u(11) composite?
False
Let i = 48323 - -65978. Is i a prime number?
False
Let g(v) = 5242*v**3 - 13*v**2 + 15*v + 5. Is g(3) a prime number?
False
Let r = -19216 - -41639. Is r a composite number?
True
Let t be (-20)/(-160) - 72790/(-80). Suppose 5*i - v = -0*v - 1615, -2*v = 0. Let g = i + t. Is g a prime number?
True
Let v = -61 - -59. Let o(y) = -181*y**2 - y. Let m be o(v). Is -7 + 9 + -5 - m composite?
False
Suppose -2*g + 11509 = 3*d, 3*g = d + 12799 + 4481. Is 28/(-35) + g/5 a prime number?
True
Suppose 4*j + 201890 = 820174. Is j a composite number?
False
Let y be 25 - (-8 + 4 + 5). Let t be (15/6 - 3)*y. Let x(s) = -166*s + 13. Is x(t) composite?
True
Suppose -34*p - 5*p + 13182 = 0. Let l = -283 + p. Is l a composite number?
True
Let x = 28 - 32. Let j be 623 - (9 + x) - (2 - 2). Suppose -10*w - j = -16*w. Is w composite?
False
Is 17862550/4350*(3 + (0 - 0/1)) prime?
False
Suppose 0 = 4*t + 8 - 832. Suppose -t*d + 204*d + 48454 = 0. Is d composite?
True
Let i = -280 + 287. Suppose -3*x - 8552 = -i*o + 2*o, -o + 1714 = 3*x. Is o a prime number?
False
Let m be -110 + (0/1 - -1). Let z(u) = -4*u - 144. Let t be z(-28). Let k = t - m. Is k composite?
True
Let t(h) = -5*h**2 - 14*h**2 - 19*h + 16 + 15*h**2 + 4*h**3. Is t(7) prime?
False
Let p = 33779 - 20583. Suppose 9*c + p = 13*c. Is c a prime number?
True
Let r be (-24)/(-36) + 590/(-3). Let h = r - -353. Is h a composite number?
False
Let n = 153 + -100. Suppose 4*x = a + 483, -x - 2*a + n = -79. Suppose -q + x = 3*v - 676, 5*v = -25. Is q composite?
True
Let i(d) = 38*d**2 - 19*d - 1558. Is i(-25) prime?
False
Let b(t) = 32694*t**2 + 182*t + 1221. Is b(-7) a composite number?
False
Let s be (-3)/(1/3*1). Let w be (-1)/s*-3*489. Is (w/(-3))/(31/93) a composite number?
False
Suppose 0 = 21*l - 25*l - s + 370503, 185269 = 2*l - 3*s. Is l a composite number?
False
Is (-14)/35*10 + 8/((-40)/(-2012505)) a prime number?
False
Is 17422140/100 - (-14)/(-35) a prime number?
True
Let f(s) = -174*s - 19 + 139*s + 2*s**2 - 4. Let p be (-2 - 12/(-5))*-45. Is f(p) a composite number?
True
Let b(n) = -3*n**3. Let o be b(-1). Let s(c) = -15*c**3 + 6*c**2 + c + 3 + 33*c**o - 15*c**3. Is s(5) composite?
True
Let o(n) = n**3 + 3*n**2 + 3*n + 4. Let p be o(-2). Suppose 0 = -2*u + p, 3*u = 4*v + 279. Let g = v - -146. Is g a composite number?
True
Let i = -2168 + 2668. Let s = -87 - -60. Let l = i - s. Is l a composite number?
True
Let m(a) = -11*a + 59. Let c be m(14). Suppose u + 2*b = -5 - 9, -u = -2*b + 18. Is u/6 + 2 - c/3 a composite number?
False
Suppose -19*p + 27*p - 88 = 0. Suppose -3*i = 12, w - 8*i = -p*i + 18675. Is w composite?
True
Let q be (259 - 0 - 0) + (22 - 25). Suppose -q*w + 260*w = 60708. Is w prime?
False
Let c = -92 + -105. Let y = 408 + c. Is y a prime number?
True
Let q be 16/12 + -1 + 107646/9. Suppose -7*l + q = -4888. Is l prime?
False
Suppose -4*c - f + 0 + 9 = 0, 5*c - 2*f - 8 = 0. Suppose 0 = -7*v + 2*v + 6950. Suppose -k + 693 = -m + c*m, 2*m = -3*k + v. Is m a composite number?
True
Let a = 36303 + 6338. Is a composite?
False
Suppose 0 = n - 2, -8*a + 11590 = -4*a - 3*n. Is a composite?
True
Is (2/(-2) - 614427)*(-863)/3452 a composite number?
False
Let d = -41 - -43. Suppose 29*c = -d*o + 30*c + 16097, 0 = 3*o - 4*c - 24133. Is o a composite number?
True
Let t = 61901 + 17170. Is t composite?
True
Let p(t) = -3*t**3 - 10*t**2 - 9*t + 11. Let c(d) = d**3 + 10*d**2 - 10*d + 1. Let j be c(-11). Is p(j) composite?
True
Let j(y) = 515*y**3 - 9*y**2 - 11*y - 8. Is j(7) prime?
False
Suppose 3*w - 12 + 1 = 5*r, 5*w - 25 = 5*r. Suppose 33834 = -d + w*d. Is d composite?
False
Let g = 149 - 144. Suppose -5*z = -5*c + 7565, z = -2*c + g*c - 4535. Is c a composite number?
False
Let w(d) = 22*d + 13. Let k be 2 - (25/10)/(1/2). Let b be w(k). Is (2 - 5) + b*2*-11 prime?
True
Let y(b) = 1717*b**2 - b + 2. Let r be y(2). Suppose 0 = -11*n + r - 1973. Is n a composite number?
True
Let t(j) = -j**3 + 10*j**2 - j + 13. Let x be t(10). Suppose -23527 = x*f - 6412. Let r = 9694 + f. Is r a prime number?
True
Let x = -387336 - -557907. Is x a prime number?
False
Let w be -1*(-2 + 1 + 6) + 11. Is (6/(-12))/(w/(-160404)) a composite number?
False
Let c(y) = y**2 + 7*y - 15. Let s be c(-8). Let k(r) = -4*r**2 + 2*r - 47. Let z(w) = -9*w**2 + 4*w - 94. Let t(p) = s*k(p) + 3*z(p). Is t(-20) prime?
True
Let z(p) = 10*p - 186. Let c be z(19). Suppose c*k + 12363 = h - 10228, 3*k - 112909 = -5*h. Is h a prime number?
False
Let g = -289 + 295. Suppose 0 = -g*s - 2*s + 41304. Is s composite?
True
Let y(t) = -2*t + 20. Let g be y(10). Suppose p - 3*q = 8, -3*q + 6 = -g*q. Suppose 0 = -16*a + p*a + 298. Is a composite?
False
Let k(i) = i**2 - 9*i + 11. Let c be k(8). Suppose 7*q + c = 8*q. Suppose -t - d = -371, 1 = -q*d + 13. Is t prime?
True
Let d = 1181 - 360. Suppose 7*i - d = 495. Is -5*9/3*i/(-12) composite?
True
Let k be (-4)/14 - (-360)/35. Let f(b) = -k - 269*b + 5 - 501*b. Is f(-2) a composite number?
True
Let i = 74 + -76. Is i/4 - ((-922668)/24)/23 a prime number?
False
Let v(x) = -2*x**3 + 629*x**2 + 294629. Is v(0