Is -404932*(-15 + (-118)/(-8)) composite?
True
Let h = -226772 + 622773. Is h a prime number?
True
Let r(m) = 24*m**3 - m**2 + m. Let d be r(1). Suppose 31*a + d = 25*a. Is (((-16)/(-12))/a)/((-5)/4485) prime?
False
Let q(p) = 3*p**3 - 3*p**2 + 4*p - 7. Let t(k) = 18*k - 2. Let s be t(2). Let m be (8/(-6))/(s/(-153)). Is q(m) a composite number?
False
Let j(o) = 117 + 19*o**2 + 25*o - 16 - o**3 - 52. Let l be j(20). Suppose -5*r - 298 = k - 3*k, k = 5*r + l. Is k a prime number?
True
Let b = -54 - -71. Suppose 11633 - 85192 = -b*a. Is a composite?
False
Let k be (-285)/57*2/10. Suppose -3*f + 3*m = 9, 0*f + 3*f + 4*m = -23. Is 1084/5 + k/f a prime number?
False
Suppose 8 = -15*c + 38. Let w be (3504/20)/(9/60). Suppose c*o - 4*b - 939 - 1407 = 0, o = -3*b + w. Is o prime?
True
Let s be 4/10 + ((-227259)/(-15) - -5). Suppose 13*q = 9*q - s. Is 6/(-5)*(q/6 + 4) a prime number?
False
Suppose -96*o - 16510 = -31*o. Let a be 104/(-20) + 2/10. Is a/(-10)*o/(1 - 2) prime?
True
Let s(n) = -13483*n**2 - 12*n + 8. Let v be s(2). Let y = -28693 - v. Is y a composite number?
True
Let j(w) = -w**2 + 6*w - 5. Suppose -5*v + 4*v = -6. Let x be j(v). Let k = 82 - x. Is k a prime number?
False
Suppose -826874 = -17*n + 7864553 + 13317606. Is n a composite number?
False
Let n = 15 - 12. Let d be (-4)/(n/(2 - 5)). Suppose 4 = 2*v, -d*v + 2511 = 2*g - g. Is g a prime number?
True
Let d(f) = 124852*f - 1575. Is d(4) a prime number?
False
Let q = 92618 - -202931. Is q a composite number?
True
Suppose -2*z - 1416917 = -5*t, 2*t + 3801*z - 566768 = 3802*z. Is t a prime number?
False
Is 11832/(-1160)*(-267620)/12 a prime number?
False
Let b be (-10)/4*(-30)/3. Let v(c) = -c**3 - 15*c**2 - 9*c + 73. Let w be v(-14). Suppose -4*i = -9*i + b, -w*d + i + 352 = 0. Is d prime?
False
Let q(r) = 13*r**2 + 55*r + 16. Let u(a) = a**2 + 8*a - 51. Let j be u(-13). Is q(j) a prime number?
False
Let y = 133 - 144. Let h = -9 + -14. Is (y - -10)*h*5 a prime number?
False
Let j = 295 - 180. Let v = j + -21. Is v a composite number?
True
Let w be -1*1002/(-1)*7. Let y = w - 4498. Suppose 5*v = 4*b - 2493, -4*v + y = 4*b + 32. Is b prime?
False
Suppose z + 19*y + 18 = 20*y, 5*z + 96 = 3*y. Let s(b) = 126*b**2 - 13*b - 46. Is s(z) a prime number?
True
Let k = 6 + -2. Suppose -b = 2*x - 60 - 196, k*b + 5*x = 1024. Suppose -153 = -d + b. Is d a composite number?
False
Let g(m) = m**2 - 22*m - 112. Let p be g(26). Is (-27687)/6*(-10 - p) a composite number?
True
Suppose -5*w + w = -2*m, -4*w = 20. Is (8836/m)/((-14)/35) composite?
True
Suppose 0 = 117*p - 122*p. Suppose 12*n - 39199 - 18965 = p. Is n prime?
False
Suppose 3223*y = 3218*y + 314695. Is y a prime number?
True
Let o = -75347 + 137166. Is o composite?
False
Suppose 15*m = 166 + 164. Suppose -m*d = -27*d + 1835. Suppose -t - d = -1034. Is t composite?
True
Let r be 626/2 + (4 - 1). Let t = 5416 - 3631. Suppose 1176 = 4*n + s, -5*n + t - r = s. Is n a composite number?
False
Let t(m) = m + 10. Let p be t(-6). Let h = 5735 - 2439. Suppose 0 = 3*v + p*c - 2379, 5*v - 692 = c + h. Is v a prime number?
True
Let l(q) = 43*q - 106. Let h(r) = -43*r + 109. Let a(i) = 4*h(i) + 5*l(i). Is a(9) prime?
True
Suppose 3*h - 431 = -209. Suppose h + 1875 = o. Is o a prime number?
True
Suppose -4822417 = -133*b + 14568850. Is b a prime number?
True
Let r = 3063131 - 1983688. Is r a prime number?
False
Is (-2)/4 - (-7014267)/24*100/75 a composite number?
True
Let o(w) = 1965*w + 14. Let y(r) = -1960*r - 15. Let i(c) = 6*o(c) + 5*y(c). Is i(2) prime?
True
Suppose 5*n + 3*z - 53 = 0, n - 6 = 2*z + 2*z. Suppose -5 = -n*t + 25. Suppose 5213 = t*p - 4*i, -2*p + i = 5*i - 3462. Is p composite?
True
Suppose -b + 14760 = 4*x - 26704, -2*x - 5*b + 20714 = 0. Is x a prime number?
False
Suppose -7*q - q = -35*q + 4303341. Is q a prime number?
False
Suppose 2*z = 2 - 14. Let o = 10 + z. Suppose -2*r + w + 1097 = o*w, -5*r - 5*w = -2730. Is r prime?
True
Let j(s) = 14660*s + 2897. Is j(23) a composite number?
True
Let o be (-68784)/(-20) - (-6)/(-5). Let u = 5900 - o. Is u prime?
False
Let v(q) = -79554*q - 10289. Is v(-25) a composite number?
True
Let r(a) = 1616*a - 63. Let o be r(14). Suppose -5*i - o = -2*w - 4*i, 4*i = -2*w + 22536. Is w composite?
True
Let r = -536 - 1339. Let i = 3449 + r. Is i prime?
False
Suppose 0 = 11*r - 9*r - 6. Suppose -4256 - 9195 = -4*u + r*p, 4*u = -4*p + 13472. Is u composite?
True
Let x(o) = 5 - 4*o + 2*o**2 + 12*o - 3*o**2 + o. Let d be x(9). Suppose z - 5 = 0, -6*p = -7*p - d*z + 566. Is p prime?
True
Suppose 89*w + 4*q = 94*w - 1156819, -w = -3*q - 231377. Is w a prime number?
True
Let n be 6 + (-4 - -6 - -1). Let z(q) = 3268*q**2 - 7. Let c(p) = -6536*p**2 - p + 15. Let j(k) = n*z(k) + 4*c(k). Is j(-1) a prime number?
False
Let v = -23 + -56. Let h = 83 + v. Suppose 2*r = 3*x - 202 + 2561, -h*x + 3581 = 3*r. Is r prime?
True
Let w(k) = -136*k + 9. Let j be (1/3)/(5/45). Suppose j*f - 1 = -13. Is w(f) a composite number?
True
Is (-1 + 18 + -19)*(-1361)/2 a prime number?
True
Suppose 284806 = 12*o - 889186 + 302564. Is o composite?
True
Suppose -3*o = -c - 95059, 758*c - 2 = 757*c. Is o a composite number?
False
Suppose 18*j = 730701 + 328257. Is j composite?
False
Let g = -42 + 7. Let k = 29 + g. Is (-2 + -111)*k - 1 composite?
False
Let y(s) = 40*s**2 - 3*s - 38. Let u be y(16). Suppose 2*n - 5*h - u = 0, 3*n + 6*h = 5*h + 15265. Is n prime?
True
Is (3/(-12))/(16/(-20074432)*7) a prime number?
True
Is 6/(-5) + (37513 - -1)*1075/250 prime?
True
Let y be 7 - (12 - 4) - (0 - 8). Suppose 4316 = 2*i + q, 12*i - 5*q - 10805 = y*i. Is i prime?
False
Suppose 5*o = 5*h - 167 - 8, -3*o + 27 = h. Let s = 53 - h. Is (s + -1)/(((-15)/5)/(-3)) a composite number?
False
Let u(n) = 712*n + 111. Is u(7) composite?
True
Suppose 4*o - 33 - 19 = 0. Suppose d - o*d - 3264 = 0. Let s = 125 - d. Is s composite?
False
Suppose -2*y = -46 + 22. Let j be ((-12)/10)/(y/(-390)). Is ((-6)/(-4))/(j/29926) a prime number?
True
Let m(p) = 369*p**2 - 19*p - 456. Is m(26) prime?
False
Let m = -85151 + 177913. Is m prime?
False
Is (-221)/3315 + 20048268/45 prime?
False
Suppose 27320 = 11*x - x. Suppose -4103 = -3*b - 4*q, -4*b + 2*b - 2*q + x = 0. Is b a prime number?
True
Is (149/(-4))/(11*16/(-1408)) a composite number?
True
Suppose h + 12 - 17 = 0. Let w be 2960 - (-6)/(h + -2). Let r = -1275 + w. Is r composite?
True
Suppose 0 = -2*s - 3*d - 1814 - 1101, -5*d - 5 = 0. Let z = -765 - s. Is z a composite number?
False
Let r(h) = 11145*h + 5252. Is r(43) a prime number?
True
Let q(s) = -6*s**3 + 45371. Is q(0) a prime number?
False
Let s(c) = 631*c + 154. Let t be s(11). Let v = 6196 + t. Is v a prime number?
True
Suppose -73*h = 118*h - 439833177 + 179899558. Is h a prime number?
False
Let z = 23416 - -182522. Suppose 7*p + z - 73414 = 0. Is (-11)/33 - p/6 composite?
True
Suppose -2632*p = -2635*p + 134817. Is p composite?
False
Let m(a) = -2*a + 6. Let q be m(3). Suppose q = 2*v - 4*v + 18. Suppose -5*g = -v*g + 1316. Is g composite?
True
Let g = 35258 - 1711. Is g prime?
True
Let j(a) = -15*a**3 + 14*a**2 + 8*a - 30. Is j(-11) composite?
True
Suppose -22 = 5*d - 2*p + p, -26 = 4*d - 5*p. Let w(l) = 111*l**2 + 6*l + 5. Is w(d) prime?
False
Let r = -229 - -227. Is r/((-17600)/(-80982) - 2/9) prime?
True
Let v be (-1)/(-6) - (-810416)/96. Suppose 4*f - v = 2*f + 5*x, -f = 2*x - 4203. Is f composite?
False
Is 0 + -12 + 196883 + -16 a prime number?
False
Let v(j) = 2*j**3 - j**2 - 8*j + 9. Let i be v(2). Suppose 0 = 5*q - 4*z - 1103, -684 = -i*q + 2*q - 5*z. Is q a composite number?
False
Let w(y) = -50580*y**3 + 49*y**2 + 114*y + 2. Is w(-3) composite?
False
Let j(u) = 20*u - 1. Let m be j(1). Let y = m - 22. Is y/18*3*-94 composite?
False
Suppose -2*z - 12717 = -5*j, -5*j + 0*z + 12705 = -5*z. Is j + (-5 + 4 - 3)/2 a prime number?
True
Let c = 104 - 658. Let v = 807 - c. Is v composite?
False
Let o = 349290 + -224371. Is o prime?
True
Let m(p) = 2*p**2 + 9*p - 1. Let w be m(-5). Let v be (2159/68)/((-1)/w). Is v*((-27)/6 + 3/2) a prime number?
False
Suppose 22 = 2*f - 0*f. Suppose -7*m = -f*m + 1796. Is m prime?
True
Suppose -5*w = w + 582. Let r = -96 - w. Is r/((-2)/10 - 1584/(-7620)) a composite number?
False
Suppose -v - 15 = -4*v. Suppose -26 + 4