ppose 0 = -c + h + 1030. Is c a prime number?
True
Suppose c - 25 = -5*d - 1, -5*c + 5*d = 30. Let s be 1 - (-13)/3 - c/(-3). Suppose -s*o + 8*o = 4113. Is o prime?
False
Suppose 678156 = 58*h + 23974. Is h a prime number?
True
Suppose 663*o - 650*o - 3935243 = 0. Is o a composite number?
False
Let f be 24/32*((-2)/1 - -6). Let s(d) = 5 - 8*d - 3*d**2 + d**3 + d**f - 8*d**3 + 7*d**3. Is s(6) a prime number?
False
Let h be (6 - 6)*(-2)/(-8). Suppose 3*o = 2*i + 16347, h = 15*i - 13*i. Is o prime?
True
Let u(d) = -2*d**3 - 10*d**2 + 28*d - 11. Let n be u(-9). Suppose n = 8*j - 3*j - 2*l, 0 = -5*l. Is j composite?
True
Suppose -p + 6*p + 9 = 4*b, -p = -3*b - 7. Is (2962/b)/(24/(-48)) composite?
False
Let y(q) = -5*q + 20. Let a be y(8). Let g be a/15*(1 - 4) + 1. Suppose -g*p = -6*p + 177. Is p a prime number?
False
Is ((-900)/(-2250))/((-2)/(-772045)) a composite number?
False
Let y be 0 - -3 - (-9 - -8). Let v = 18 + y. Suppose 2348 = -v*s + 26*s. Is s composite?
False
Let q = -1 + 1. Let w be (3 - 1)*390/156. Suppose w*n + 5*y - 3545 = q, 2*y - 16 = 6*y. Is n a composite number?
True
Is ((1256 - 1)/(-5))/(((-30)/(-4295))/(-6)) composite?
True
Suppose 10253619 = 60*k - 3233361. Is k composite?
True
Let q be (-8370)/4 + (-3)/2. Let y = q + 4615. Is y a composite number?
False
Let f(d) = d**3 - 16*d**2 - 18*d + 23. Let b be f(17). Is 8 - 3*(-3358)/b a prime number?
False
Suppose 0 = 14*g - 395468 - 852338. Is g prime?
False
Let o(n) = 3*n**2 + 17*n + 12. Let v be o(-12). Suppose -7*u + v = -19*u. Let g(x) = -16*x + 57. Is g(u) prime?
False
Let r = 143 + 41. Let n = r - -3313. Is n a prime number?
False
Let n be 512/(-18) + 8/18. Suppose -167 = -2*l - 5*j, -4*j - 90 = -3*l + 2*l. Is l*(-3 - n/8) prime?
True
Suppose -u + x - 2 = 0, 0 = -3*u - 7*x + 6*x + 10. Suppose -p + 3330 - 745 = u*c, -4*c = -4*p + 10304. Is p a prime number?
True
Let o(p) = -p**3 + 50*p**2 + 104*p - 7. Let u be o(52). Let v(z) = 9*z**2 - 8*z - 24. Let t(d) = d**2 - d + 1. Let c(i) = 2*t(i) + v(i). Is c(u) prime?
True
Suppose 19*m - 15*m - 8 = 0, -3*t - 5*m + 1042933 = 0. Is t prime?
False
Suppose -997302 = -9*v + 706227. Is v a prime number?
False
Suppose -816 = 4*h + 2*d - 0*d, -4*h = 4*d + 812. Let i be 3 + (-5010)/12 + (-4)/(-8). Let c = h - i. Is c composite?
True
Let w(t) = -3839*t - 4 + 3 + 3. Let i(v) = -v**2 + 47*v - 343. Let a be i(9). Is w(a) composite?
True
Let z be 16483 + (-2 - 3 - 3). Suppose z = 5*a + 5*s, 0 = -3*a + 7*a - 2*s - 13204. Is a a prime number?
True
Let q be ((-1)/(-4))/((-38277)/(-5468) - 7). Suppose 61*f + q = 62*f. Is f a composite number?
False
Let s(l) = -4*l**3 + 4*l**2 + 30*l + 16. Let r be s(-12). Suppose -r = -10*p + 2*p. Is p composite?
True
Suppose -2*y - 1392597 = -5*n + 531858, 1154692 = 3*n - 5*y. Is n a composite number?
False
Suppose -111 + 559 = 8*u. Is 10*1/2 + (2032 - u) composite?
True
Suppose -s - 830296 = y - 4*y, y = -4*s + 276735. Is y a composite number?
False
Suppose 6*k + 72 = 12*k. Suppose k = -9*t - 96. Is (-2)/(((-4)/t)/((-1801)/6)) a composite number?
False
Suppose 29 - 10 = -y + 5*d, 3*y = -3*d - 3. Let n = 7827 + -11660. Is (n/3)/(y/12) a composite number?
False
Is 28/490 + 19666212/140 a composite number?
False
Suppose -566*x + 2864161 = -1544413. Is x a composite number?
False
Suppose 2671381 = -292*c + 311*c. Is c prime?
False
Let q(r) = 4*r**3 - 38*r**2 - 3*r + 33. Let t(j) = 3*j**3 - 25*j**2 - 2*j + 22. Let v(c) = 5*q(c) - 8*t(c). Let p be v(-13). Is 2/(-12) + 5/60*p composite?
True
Is ((-79719)/(-3))/((-14)/(-28)) a composite number?
True
Let m = -199 - -199. Is (-20)/(-10) - (-1899 - m) a prime number?
True
Let w(f) = -f + 17. Let a be w(15). Let t be (-4)/(-4) + -9*a*33. Let p = -252 - t. Is p prime?
False
Let k(j) = -7*j - 135. Let o be k(-20). Suppose -4*y + 5*y - o*a - 15669 = 0, -y + 15657 = a. Is y prime?
False
Let s be ((-1)/3)/(1*(-3)/81). Suppose -5*z - 4 = -s*z. Is (15650/14 - z) + 5/35 prime?
True
Suppose -7*d = 37 - 205. Suppose d*t = -23580 + 210756. Is t a composite number?
True
Let r(p) be the third derivative of p**6/240 + p**5/8 + 5*p**4/12 - 13*p**2. Let q(y) be the second derivative of r(y). Is q(6) a prime number?
False
Let o(g) = -202*g**2 - 22*g + 122. Let c be o(7). Is (c/20)/((-3)/22) prime?
False
Let m = 106942 + 39067. Is m a composite number?
False
Suppose -5*j = -4*g + 553976, 3*g - 23*j = -27*j + 415513. Is g a composite number?
True
Let i be (353600/24)/17 - (-4)/(-6). Suppose 0 = -17*u + 96561 + i. Is u a prime number?
False
Suppose -21*s + 2141006 + 2876534 = -s. Is s prime?
False
Let f = -293 - -297. Suppose -f*l - 576 = -4*p + 11564, 6064 = 2*p - 5*l. Is p composite?
False
Suppose 0 = -4*r + r + 30. Let d = 70 + -57. Suppose -4*l + 6*l - 5*c = d, r = 2*c. Is l a prime number?
True
Suppose -4 = p - 5*q - 5, 3*p - 3 = 4*q. Let w(n) = -25704*n**2 + 2 - 3*n + 27088*n**2 + 0. Is w(p) prime?
False
Let l(v) = -11*v + 187. Let m be l(19). Is m*(50202/4)/(-9) composite?
True
Let b(j) = 82528*j - 2711. Is b(13) composite?
True
Suppose 0 = 2*i - 3*o + 4*o + 1, -5*o - 35 = -5*i. Let h(t) = 25 - 16*t - i + 2. Is h(-13) a prime number?
True
Suppose -21*o + 110518 = -126845. Is o prime?
False
Let t(s) = 6*s**2 - 20*s - 965. Is t(93) composite?
False
Suppose 35*y + 276 = 23*y. Let j(z) = 4*z**2 - 3*z - 5. Let x be j(-5). Let i = x + y. Is i prime?
False
Let y(z) = -z**3 + 10*z**2 - 22*z + 7. Let k be y(7). Is 6 + k + 2 + 879 composite?
False
Let x(v) = -83*v**3 + 2*v**2 - 7*v - 61. Is x(-4) prime?
False
Let i be (3 - 4)/(1/2). Let n(u) = u**2 + 12*u + 3. Let r be n(-12). Is (i - (-2950)/(-6))/((-1)/r) composite?
False
Suppose i - 6 = -2*h, 8*i = 5*i + 3*h. Suppose -7*g = -i*g + 2*z - 52159, -z = -5*g + 52168. Is g prime?
True
Let d = -229494 + 338357. Is d a prime number?
True
Is 266/(-95)*-5 + 35181 prime?
False
Suppose 5*m - 689 = -4*h + 64, -5*h - 2*m = -920. Let k = 107 - h. Let q = k + 142. Is q a composite number?
False
Let j(v) = -150*v**3 + 8*v**2 + 38*v + 347. Is j(-9) a composite number?
True
Let b(d) = d**3 + 3*d**2 + 7*d + 14. Let z be b(-4). Is 4/5 - 2346/z prime?
True
Suppose 19*i = 22*i. Suppose i*x - 2*x + 2794 = -3*b, -3*x = 4*b - 4191. Is x prime?
False
Let x(q) = -349*q - 171. Suppose -304*c = -310*c - 48. Is x(c) a composite number?
False
Let z(j) = 190*j**2 - j - 8. Let r be z(3). Suppose w + 542 - r = -3*a, 0 = w - a - 1149. Is w a composite number?
False
Let n = -94 - -92. Let x be n/(-4) - (8 + (-133)/14). Suppose 5*w + 2*s - s - 5403 = 0, 0 = -x*w - 3*s + 2156. Is w composite?
True
Is (-1006734)/(-57) - (5 + 1/(-3)*0) a prime number?
True
Suppose -4*o - 724 + 116 = 0. Let k = 1818 + -1187. Let i = k + o. Is i composite?
False
Let u = -48 + 52. Suppose 0 = -2*a - u, 0*k - 1852 = -2*k + a. Suppose -k = 4*z - 3953. Is z a composite number?
False
Suppose -30*s - 126*s + 28*s = -73588096. Is s prime?
True
Suppose 6*h = 8*h + 2*l - 38982, -3*h = l - 58465. Suppose 42*m - h = 29*m. Is m prime?
True
Let w = 1050 - 542. Let m be ((-134)/(-3))/(11/66). Suppose 4*v = m + w. Is v composite?
True
Suppose 1557069 = 23*r - 424634. Is r composite?
False
Let p(a) = 134*a + 11*a - 29 + 200*a. Let l(k) = -691*k + 57. Let q(c) = -4*l(c) - 7*p(c). Is q(8) a composite number?
False
Let u(p) = 25920*p**3 - 24*p**2 + 33*p + 19. Is u(2) prime?
False
Suppose 5*t = 4*o - 260643, -144646 + 405294 = 4*o - 4*t. Is o prime?
True
Let n(r) = 40*r + 355. Is n(16) composite?
True
Let h be 7 + 0/(5 - 9). Suppose 16*c - h*c = -9. Is 79 - 0/(c + 2) prime?
True
Let t(f) = 803*f**3 - 6*f + 3. Let n be t(2). Suppose 10*b = 9*b + n. Is b a composite number?
True
Suppose -64*t - 55*t = -35*t - 14717724. Is t composite?
False
Let z(w) = 1006*w**3 + 4*w**2 + 11*w + 9. Let q be z(7). Is (q/28)/5 - 22/(-77) a composite number?
False
Suppose -3705 = -12*r + 7*r. Suppose -r - 6602 = -k. Suppose 0 = -2*u - 5*u + k. Is u a prime number?
True
Let m(v) = 920*v**2 + 7*v + 25. Let u be m(-6). Suppose -u = -3*i + 488. Is i composite?
False
Let n be (24/18)/((-2)/(-6)). Suppose -n*m - 4*k - 4 = 0, 0 = 2*m + k + 3*k - 2. Is (5/(-10))/(m/1902) composite?
False
Let f(v) be the second derivative of 59*v**3 - 41*v**2/2 - 7*v + 2. Is f(20) a prime number?
True
Let n be 6/16 - 213152/(-256). Let r = 2662 - n. Is r composite?
T