a prime number?
True
Suppose 658*d = 645*d + 263731. Is d a composite number?
False
Let v = 348220 - 200591. Is v a prime number?
True
Let q(c) be the first derivative of -2*c**3/3 - 5*c**2 + 14*c - 37. Let j be q(-6). Suppose -j*a + 2302 = i, a + 5*i - 1151 = 9*i. Is a a prime number?
True
Let o(d) = -d**3 - 8*d**2 - 11*d + 8. Let t be o(-6). Let w be (t + (30 - -3))*1. Let r = 86 + w. Is r prime?
False
Suppose 7*k = 6*k + 29. Suppose k*q = q + 191044. Is q a prime number?
True
Let g(i) = 62*i**2 + 2*i + 18. Let a be g(-6). Let b be 18/6 - (1 - a - 1). Let n = b - 1292. Is n a prime number?
False
Let i be 132/18 + (-2)/6. Suppose -11*q + i*q + 3756 = 0. Suppose -2*x - 4005 + q = -4*j, -4*x = j - 789. Is j prime?
True
Suppose 5*q + 75378 = 3*u - 525800, -3*u = 4*q - 601223. Is u composite?
False
Let h(k) = k**2 - 15*k + 40. Let d be h(3). Suppose -d*w + 5*w + 5*t = 1292, -t = -3*w + 3796. Is w a composite number?
True
Suppose -100*u - 10030 = -105*u. Let z = u - -2891. Is z a prime number?
False
Suppose 99 = s - 4*s + f, 4*f = -5*s - 148. Let l = s - -519. Is l a composite number?
False
Let s(w) = -2445*w + 2137. Is s(-10) prime?
False
Let q = 28570 + -13730. Suppose -6*b + q = -9418. Is b a prime number?
False
Suppose 12*j - 7*j - 9805 = 0. Let y = j + -1228. Is y prime?
True
Suppose -48*n + 6*n = -10086294 - 9873912. Is n composite?
False
Let c(l) = -l**3 + 11*l**2 - 14*l - 7. Let y(v) = v**2 - v. Let g be (78/39)/(2/(-4)*-1). Let r(h) = g*y(h) - c(h). Is r(9) a prime number?
False
Suppose 4*c + 1 = 3*u, 5*u = -3*c - 2*c + 25. Let k be 0/(-2*u/6). Suppose -5*o + k*o = -345. Is o prime?
False
Let w(h) = 1698*h**3 + 18*h**2 + 23*h + 6. Let f(u) = 3394*u**3 + 36*u**2 + 45*u + 11. Let l(a) = -4*f(a) + 7*w(a). Is l(-1) composite?
True
Suppose -3*i + 4*o = -2240387, 354*i + 4*o - 1493618 = 352*i. Is i a prime number?
False
Let h = -137022 - -200791. Is h a prime number?
False
Let h(v) be the third derivative of -19*v**4/24 - 5*v**3/2 + 2*v**2 + 6. Is h(-26) a prime number?
True
Let g(p) = -110*p + 20. Let b(r) = 1. Let s(n) = -3*b(n) - g(n). Suppose 5*x - 40 = -l, 0 = -4*x + l + 38 + 3. Is s(x) a prime number?
True
Let c = -8 - -11. Let l(p) = 103*p**3 - 5*p**2 + p + 3. Let s be l(c). Suppose n + 3*j = -n + 1817, s = 3*n - j. Is n a composite number?
True
Let o(u) = u + 12. Let m be o(8). Suppose 5*f - b - 2 - m = 0, -f - b = -8. Suppose 2*z - 5*c - 130 = 0, 3*z + 7 - 192 = f*c. Is z a prime number?
False
Let a = 586 - 142. Suppose 15*b - 20 = 10*b. Suppose 2*c = 6, -5*r - b*c = -a - 203. Is r a prime number?
True
Let h = -15 - -19. Suppose 515 = -h*s - s. Let y = s - -194. Is y a prime number?
False
Let j(i) be the third derivative of -199*i**7/5040 - 31*i**6/720 - 2*i**5/15 + 23*i**2. Let m(v) be the third derivative of j(v). Is m(-8) a composite number?
True
Is -1 + 9232 + (74 - 66) composite?
False
Suppose -141 - 15 = 2*b. Let i = -84 - b. Let j(t) = -7*t**3 - 8*t**2 - t - 13. Is j(i) a composite number?
False
Let r(s) = 2*s**3 + 5*s**2 + 102*s - 524. Is r(43) a composite number?
True
Let s(o) = -34*o**2 + 4*o - 17. Let z(a) = -35*a**2 + 5*a - 17. Let b(h) = 2*s(h) - 3*z(h). Is b(3) a prime number?
False
Suppose d + 5*d = -8*d + 3052658. Is d a prime number?
True
Is 244547*3*4*1/12 prime?
True
Suppose -62099 = 3*l - 2*a - 185090, -4*l - 4*a = -163948. Is l a prime number?
True
Let r(u) = 2*u**2 - 8*u + 8. Let g be (-14)/3*(-6)/7. Let c be r(g). Suppose -c*s + 966 = -2*s. Is s prime?
False
Let n(w) = 8419*w + 696. Is n(14) a composite number?
True
Let j be (-2)/(-8)*(-96)/(-8). Is 13295 - ((-54)/30)/(j/(-10)) prime?
False
Let l(d) = d**3 - 56*d**2 - 51*d - 194. Let p be l(57). Suppose -3*h + x = -501, -687 = -5*h - x + p. Is h composite?
False
Let c be (-24)/(-40) + (-994)/(-10). Let w = c - 95. Let z(m) = 22*m**2 + 2*m - 3. Is z(w) composite?
False
Let a(n) = 32*n**2 - 1401*n - 73. Is a(68) a prime number?
True
Suppose -2*x = 6, 2*o + 4*x = 4*o - 30. Is (6/(-84) - o/21)*-49386 composite?
True
Let w = 86 - -16. Let s = w + -98. Suppose -2*k + s = 0, i + 6*k = k + 1427. Is i prime?
False
Suppose -5*b + 5*l + 57910 = 0, -7647 = -2*b - 4*l + 15499. Is b prime?
True
Suppose 25*s - 13*s = 315624. Is -1 + -4 + 8 + s a prime number?
False
Is (442549 - -14) + (-16 - -24) prime?
True
Let v(g) = -2*g**3 - 6*g**2 + 16*g + 10. Let t be v(-9). Let f = t - 165. Is f composite?
False
Let z(s) = -4*s**3 + 30*s**2 - 15*s - 21. Is z(-20) a composite number?
False
Let a(f) = -17*f**2 + f + 4. Suppose c + 1 = 7. Let x be a(c). Let s = x + 913. Is s a prime number?
True
Let g be (2 - 0)/2 - -1. Suppose -g*s - 3133 = -v + 719, -s = -4. Suppose 5*q - 4*t - 3815 = -0*q, 5*q + 5*t = v. Is q a prime number?
False
Let d(n) = n. Let b(v) = -4*v - 13. Let k(w) = -b(w) - 3*d(w). Let j be k(-9). Suppose 0*z - 27 = -z - 4*r, -j*r - 111 = -5*z. Is z a composite number?
False
Suppose -4*c - 16*u + 2565509 = -11*u, -5*c - 3*u = -3206870. Is c composite?
False
Let q be 4 + (-60)/35 + 6/(-21). Suppose -8*f + 3*f - 3*u = -11972, -q*u + 2393 = f. Is f a prime number?
False
Let g(t) = -3454*t + 7. Let y = 74 - 77. Is g(y) a composite number?
False
Let x = -141454 + 210431. Is x a prime number?
False
Suppose -g + 327 = 2*g. Let a = -5905 - -5908. Suppose 436 = 4*m + 3*b, 2*m + g = a*m - b. Is m a composite number?
False
Suppose 40*c - 396545 = -5*u + 36*c, -3*u = 6*c - 237909. Is u prime?
False
Let r(y) = 3*y**2 + 7*y + 5. Let c = 60 - 72. Let l be r(c). Let v = l - 192. Is v a composite number?
True
Is (2*1 - 40/12)*(-58135749)/406 a composite number?
True
Suppose -23*b + 18*b + 986943 = 2*n, -3*b = -5*n + 2467280. Is n a prime number?
False
Let w = 25623 + -640. Let r = w + -7462. Is r a prime number?
False
Let a = -42 + 44. Suppose y - a = 2*z - 6, -11 = 5*y - z. Is 2/(y/(-8) - 62/312) a composite number?
True
Let q = -898219 - -1273626. Is q a composite number?
False
Let p(z) = 1373*z**3 - 27*z**2 + 95*z - 3. Is p(4) composite?
True
Suppose -5*w + 1 + 2 = 3*l, 0 = -4*w - 5*l - 8. Suppose -2*x + t + w = 0, 5*t = 3*x - 0*t + 13. Suppose 13*v = x*v + 6363. Is v prime?
False
Let m(k) = 4 + 7 + 1 + 258*k + 0. Let j(a) = 259*a + 13. Let x(z) = 5*j(z) - 6*m(z). Is x(-2) prime?
True
Suppose 18*j = 2967515 + 2883619. Is j prime?
True
Let t = 45 - 39. Suppose 0 = 15*n - t*n - 38601. Suppose -156 = -5*b + n. Is b a composite number?
True
Suppose 19691103 = -2*a + 187*a - 90419232. Is a a composite number?
True
Let b(w) = 6*w + 3. Let z be b(-2). Let q(r) = -16*r - 1. Let j(c) = -198*c - 19. Let k(t) = j(t) - 2*q(t). Is k(z) composite?
True
Suppose -5*i + 169330 + 23563 = -d, 5*i - 4*d = 192887. Is i composite?
True
Suppose 121*q - 126*q = 4*y - 2417639, -3*q = 5*y - 1450599. Is q a composite number?
False
Let l = -125 + 181. Suppose 0*u + 4*k + 64 = 4*u, 3*u = -5*k + l. Is 10886/8 - u/(-68) a composite number?
False
Let n(z) = 212 + 977 + z + 2264 - 2*z**2 + 6. Let k be n(0). Let j = k - 2060. Is j a composite number?
False
Let h = 65 - 77. Let y = 16 + h. Suppose 0*k + 5*c = -k + 343, -3*k = y*c - 985. Is k prime?
False
Let z = -119 - -122. Is ((-18812)/(-8))/(z/6) prime?
True
Let j be (212/(-12))/((-3)/459 + 0). Let r = j - 1490. Is r a prime number?
True
Let i = 0 - 16. Let o(k) = -k**3 - 18*k**2 - 51*k - 11. Is o(i) composite?
False
Suppose 0 = -5*f + 6686 + 349. Let s = f + -674. Is s a composite number?
False
Let w(n) = -13861*n + 722. Is w(-9) a composite number?
False
Let j(o) = 252*o**2 - 62*o - 21. Let c(m) = -168*m**2 + 41*m + 14. Let l(a) = 7*c(a) + 5*j(a). Is l(6) a composite number?
False
Suppose -4*r - 14 = -6, -5*z = 2*r - 128101. Is z prime?
True
Suppose 39*f - 16*f = 0. Let q be 2 + (-2 - -2) + 3. Suppose -3*k + f*k = 4*h - 49, 110 = q*k + h. Is k a prime number?
True
Let c(u) = -10938*u**3 - 3*u**2 + 25*u + 97. Is c(-4) composite?
True
Let z(u) = 139*u - 3. Let g be z(1). Let d = 347 - g. Is d composite?
False
Let h = 260 + -247. Suppose 2*a = h*a - 18205. Is a composite?
True
Let f = 58 - 820. Let x = 5411 + f. Is x prime?
True
Suppose 182559 - 927773 - 1839603 = -19*h. Is h composite?
False
Suppose 0*h + 12 = 3*h - 2*i, 4*h + i - 16 = 0. Is 3 - h/10*(-24350)/10 a prime number?
True
Suppose 3*q - h = 1, -16 = 12*q - 15*q - 2*h. Suppose 4*d - 8509 = -o, d + 42507 = 5*