- 445. Is j a composite number?
True
Let t = 58081 + -16769. Let b be (t/8)/1 + (-1 - -3). Suppose -o - 5 = -6*o, -i + b = -5*o. Is i a composite number?
False
Suppose 2*d - 13795 - 199853 = 18586. Is d composite?
True
Is (155/(-62))/((3/302942)/(13 + -16)) a prime number?
False
Is ((-942319)/14 - 6)*(0 + -2) a prime number?
False
Let q(s) = -s**3 + 4*s**2 + 4. Let k be q(4). Suppose 4*j - r - 12 = 0, 0 = k*j + 5*r - 2 - 10. Suppose 1160 = j*h - 1087. Is h a composite number?
True
Suppose q = 5, 195*v - 2*q = 193*v + 48600. Is v a composite number?
True
Suppose 13*b - 7112 = 6*b. Suppose -575 - 778 = 4*s - 5*y, 5*y = 3*s + b. Let i = s + 710. Is i a prime number?
True
Suppose -4 = -3*h + 8. Let v(k) = -h + k**2 + 24*k - 27*k + 2. Is v(8) a composite number?
True
Suppose -15*o - 8468 = 18*o + 3676. Let v(j) = 3*j**2 + 3. Let q be v(-6). Let b = q - o. Is b prime?
True
Let w(p) be the first derivative of 8 + 4*p - 9/2*p**2 + 10/3*p**3. Is w(-7) prime?
True
Suppose -j + 22002 = -4*o, 3*j - 5510 = o - 2*j. Is 0 - -5 - o - -4 prime?
False
Let c be 6/(-4)*(-90108)/(-54). Let n = c - -19038. Is n a composite number?
True
Let q = -42 - -20. Let p be 2 + ((-4)/q - (-705)/55). Suppose -4*v = 3*r - 1111, 0 = 2*v - 5 + p. Is r a composite number?
True
Let y(k) = 36*k**2 + 8*k + 1. Let a be y(-4). Let j = a - -119. Suppose 13*n - 12507 + j = 0. Is n composite?
False
Let q(m) = 17394*m + 125. Is q(9) a composite number?
False
Suppose -6*d + 35 = j - 7*d, -d = -5*j + 195. Is 9465/24 + (-15)/j a composite number?
True
Let n(c) = c**2 + 3*c - 49. Let j be n(6). Suppose -22 = -j*i - 6*i. Suppose 0*r - i*r = -4*b + 33236, -b - 4*r = -8327. Is b prime?
True
Let n = 1178707 + -629516. Is n composite?
True
Let r(w) = 1117*w - 40. Let y be r(27). Suppose 26132 + y = 13*q. Is q composite?
False
Let x be (-2)/1*12/(-8). Suppose 8 + 3 = 2*w + x*a, -5*w + a + 2 = 0. Is (84 - 4 - -2) + w prime?
True
Let j be ((-676674)/(-45))/1 - (-1)/(-5). Is -8 + 2 + 3 + j a prime number?
False
Suppose 6*f + 19925419 = 3317359. Is f/(-175) + (-1)/5 a prime number?
True
Let t = 712118 + 126633. Is t a composite number?
False
Let h = 37192 - 24425. Is h composite?
True
Let k be (2 - 3)/(-3 + 78/27). Let v(i) = -k*i + 12*i + 1 - 8*i + 8*i**2. Is v(-10) prime?
False
Suppose -377*u = -376*u - 3*n - 59060, -4*u + 236192 = 4*n. Is u a composite number?
False
Suppose p = 2*p - 35400 - 60119. Is p composite?
True
Let k(g) = 8*g**2 + 8*g + 1. Let m be k(7). Let u = m + 68. Is u composite?
True
Suppose -19 = 4*y - 31. Suppose -2*x - y*a + 7*a + 18586 = 0, 37202 = 4*x + 2*a. Is x a composite number?
True
Let u be 4/(-4) + (3 - 6) - -1. Is (-1042)/u*((8 - 5) + 0) composite?
True
Let c = 804 + -804. Suppose c = 43*t - 31*t - 112872. Is t prime?
False
Let k(c) = -20703*c**3 - c**2 - 14*c - 15. Is k(-1) composite?
True
Suppose 8*m - 86 = 90. Suppose 4*s - m = -14. Suppose -s*j + 106 = -p - 366, -5*p + 721 = 3*j. Is j prime?
False
Let j be 651*790/45*3. Suppose d + 13*d = j. Is d a composite number?
True
Suppose 6*k = 48*k - 1571766. Is k a composite number?
False
Let s(b) = -67*b + 116. Let u be s(-17). Suppose -10 = 5*o, 2*n - 3*o + u = 3*n. Is n prime?
False
Let w(a) = 20*a**2 + 11*a + 12. Let y be -4 + (-6 - 2 - -4). Let o be w(y). Suppose o + 298 = 2*j. Is j a prime number?
True
Suppose 0 = 5*h + 2*m - 1914640 + 539880, 15 = -3*m. Is h prime?
False
Suppose 4*v - 3 = -15. Let b be 5*(v - (-2 + -2)). Suppose -b*s + 0*s = -5*l - 10545, -6343 = -3*s - 5*l. Is s a prime number?
True
Let w be ((-230)/(-4))/((-14)/(-588)). Suppose 0 = -11*d + 8*d + w. Suppose 2*x - 3*t - d = -6*t, 4*t + 12 = 0. Is x prime?
False
Let i(q) be the third derivative of q**6/120 - 3*q**5/10 - 9*q**4/8 + 55*q**3/6 + 15*q**2. Is i(24) composite?
True
Suppose q = f - 7, -3*f - 5*q = -q - 56. Let v(z) be the third derivative of 13*z**4/2 + 11*z**3/6 + 8*z**2 + 2*z. Is v(f) a prime number?
False
Let g(k) = k**3 + 6*k**2 + 6*k + 38. Let q be g(-6). Suppose c - 4*n - 4091 = 0, -3*n - 4088 = -c + q*n. Is c a prime number?
False
Let c(b) = -57*b**2 + 10*b - 102. Let j be c(-7). Suppose 0*s = s - 8166. Let a = j + s. Is a prime?
False
Let l = 82626 - 49019. Is l a prime number?
False
Let v be 6/45 - (-16)/(-120). Suppose 14*z - 20*z - 78 = v. Is (-17)/(1/z + -6 + 6) composite?
True
Let k = -1840 - -16605. Is k a prime number?
False
Suppose 2999316 = 141*u - 26*u - 2083799. Is u a prime number?
True
Let m(n) = 97*n + 35*n**2 - 94*n + 18*n**2 - 16*n**2 + 7. Let l(u) = u**3 - 2. Let x be l(0). Is m(x) a prime number?
True
Let m be 1*(-11 - 0) - 5. Let x be 5/(-50)*m*(-1 - -206). Suppose -5*n = -10, -t + x = 5*n - 151. Is t a composite number?
True
Let f = 440 - 132. Suppose l - 8*l + f = 0. Let q = 295 - l. Is q composite?
False
Suppose -19*a + 16*a + 69 = 0. Let k(d) = -d**3 + 22*d**2 + 33*d - 45. Is k(a) a composite number?
True
Let d = -16 - -19. Let m be 0 - -951 - (-2)/d*3. Suppose -5*a - m = -3048. Is a prime?
True
Suppose -43*g - 23675 = 10338. Let z = -712 - g. Is z prime?
True
Let k(l) = -56107*l - 7059. Is k(-14) a prime number?
True
Let c = 3219 + -1869. Let k = c - -1813. Is k composite?
False
Let o = -538 + 541. Is (-9 - (-1197)/6)*14/o prime?
False
Suppose -15*k + 17*k + 1449748 = 6*k. Is k composite?
True
Suppose 319*r + 137*r = 591385944. Is r a composite number?
False
Let t(q) = 65*q**2 + 3*q - 1. Let p be t(6). Let m = 200 + p. Is m a composite number?
False
Suppose -2*j = -4*i - 235056 + 1836774, 0 = -3*i + 5*j + 1201292. Is i a prime number?
True
Suppose 11*j = -3 + 25. Suppose j*x - 1225 = -s, 0*s - 6167 = -5*s + 4*x. Is s composite?
False
Let p(u) = 23*u + 39. Let z be p(11). Suppose 71 = 3*m - z. Suppose -9286 = 119*g - m*g. Is g composite?
False
Let k(w) = w**2 - 14*w + 19. Let y be k(13). Suppose y - 6 = 4*u. Suppose -2*b + 2 = u, 0 = -4*o + b - 5*b + 2040. Is o a composite number?
False
Suppose -25*f + 1574 = 324. Suppose -70595 = -f*b + 45*b. Is b a prime number?
False
Let u = 1132735 + -682244. Is u a prime number?
False
Suppose -41*u + 38963 + 39638 - 12837 = 0. Suppose -2*r - 55 + 537 = 5*y, -475 = -5*y + 5*r. Suppose -y = 4*b - u. Is b composite?
True
Let u(s) = -s**3 + 3*s**2 + 3*s + 8. Let i be u(4). Suppose -2*a - 2*l = -5258 - 18448, 4*a - i*l = 47396. Is a composite?
True
Let z = 253110 - 23579. Is z a prime number?
False
Let n = -95854 - -222248. Suppose -n = -14*h - 32132. Is h a prime number?
True
Let r(g) = -13 + 551*g**2 - 211*g**2 + 31*g + 405*g**2. Is r(-5) composite?
False
Let k(l) = 279*l + 49. Let u(h) = -278*h - 51. Let n(o) = -4*k(o) - 5*u(o). Is n(11) a composite number?
True
Is (132 - 137) + 3 + 2288323 a composite number?
True
Suppose -95*t = -285*t + 42747542 + 10269108. Is t prime?
False
Let b(u) = -u + 14 - 3*u + u - 3. Let z be b(-11). Suppose 232 = z*v - 40*v. Is v a composite number?
True
Let s(p) = -664*p - 9. Let f be s(-4). Let d = 8786 - f. Is d composite?
True
Suppose -543722 + 15752 = -15*w. Suppose 6*c = w + 75976. Is c a prime number?
False
Suppose -4*p - j = -35, 5*p + j = -j + 40. Suppose -2*r = 3*r - p. Suppose 1924 + 1018 = r*y. Is y prime?
True
Let w(z) = -10 + 489*z - 3*z - 21. Is w(39) prime?
False
Suppose 5*c - 1638 = -208. Let f be (-52)/c + 46/11. Suppose 3*r - r - 2*b = 1358, -f*b = 2*r - 1370. Is r prime?
False
Is 1973342/126 + ((-92)/45 - -2)*10 composite?
False
Is 5/((-10)/545204)*(-10 + (-95)/(-10)) composite?
True
Suppose -12 = s - 3*k, 18 = 3*s + 2*k - 1. Suppose p + 6*t = 4*t - 2, s = 3*p + 3*t. Suppose p*i + x = 2*x + 640, 5*x = -i + 139. Is i a prime number?
False
Suppose 4*r + 4*z = 3*r + 3320, 5*r = -5*z + 16600. Let s be ((-3)/(-2))/(12/r). Suppose -p - 5*c = -s, -4*c + 12 = -c. Is p prime?
False
Let m = -110701 + 268700. Is m composite?
False
Suppose -q + 4 = 0, -4*g = q - 6*q - 116384. Is g a prime number?
True
Is ((-611032)/(-80))/((-10)/(-100)) composite?
False
Let y(o) = -4*o**2 + 65*o + 7. Let r(j) = -8*j**2 + 128*j + 14. Let f(t) = 3*r(t) - 5*y(t). Is f(8) prime?
True
Suppose -16*p = 18*p - 16881238. Is p a prime number?
False
Let c be 2189/2 + (-4)/(-8) - 3. Let v = -117 + c. Suppose -3*p - 3*z + 561 = 0, 5*p - 2*z + 12 = v. Is p a prime number?
True
Let h be (-3)/((-60)/152) + 2/5. Is 3409*(20/h)/(5/2) prime?
False
Let b(d) = d**2 + 33*d +