?
False
Let g(u) be the first derivative of -7/3*u**3 + 10 + 16*u + 1/4*u**4 + 3/2*u**2. Is g(9) a prime number?
False
Let j(s) = 50 + 19309*s**3 + 3*s**2 - 19 - 14*s - s**2 - 19. Is j(1) prime?
True
Is ((-784)/(-96) - 9 - 2/12)*-220243 composite?
False
Suppose -13*o + 133785 = -3*o - 101225. Is o a composite number?
True
Suppose 5*d = -7*q + 3*q + 421511, 2*d = -q + 168602. Is d a composite number?
False
Let b(p) = 95*p**2 - 6*p + 6. Let v be (1/4)/((-3)/(-35 + -1)). Let h be b(v). Suppose -h = -2*y - d, -4*y + 691 = -d - 980. Is y prime?
True
Suppose -w + 2*c = -405923, -3*w = 69*c - 74*c - 1217772. Is w a composite number?
True
Suppose -4*u + 27558 = 5*m - 0*u, 4*m - 22047 = -3*u. Suppose -o + m = -11405. Is o prime?
False
Suppose -5*s = -154*s + 6608787 + 12715768. Is s a composite number?
True
Let r = -3866 + 2536. Let h = -833 - r. Is h a composite number?
True
Suppose -86*u = -38*u + 52*u - 12330100. Is u prime?
False
Is (549874/1)/((-115 - -124)*(-4)/(-18)) prime?
False
Let c(o) = 6*o**3 + 21*o**2 + 3*o - 17. Suppose 2*j + 3 = 37. Let y be c(j). Is (-5)/(-2) + y/34 a prime number?
True
Let d be 4 - (-7 - (-6 + -5)). Suppose -4*v + 4*i = -604, 4*i + 753 = 5*v - d*v. Is v a composite number?
False
Is (-2 + 0)/(45/((-19256985)/22)) a composite number?
False
Suppose 2*o - 2*k + 6 = 2, 5*o - 10 = -5*k. Suppose 3*x = -4*u + 6*x + 1388, -3*u + 4*x + 1041 = o. Is u a prime number?
True
Let h be (305/122)/(1/2 - 0). Suppose 4*b = 4*j - 38472, -4*b + 11071 - 59162 = -h*j. Is j a composite number?
False
Is -46*(-12246)/5 - (-4)/((-660)/33) a prime number?
True
Let h(o) = 3*o**2 + 24*o + 6. Let j be h(-8). Let l = j - -121. Is l composite?
False
Suppose 7*v + 907603 = 3*g + 2*v, 5*g - 1512721 = -4*v. Is g a composite number?
True
Let g = 113 + 204. Is g*(-33)/3*-1 composite?
True
Suppose 4*j - 2*j = -5*c + 28, 31 = 3*j + 2*c. Is 6526/6 - (50/(-6) + j) a prime number?
True
Suppose 5*w = 6*w - 3*y + 680, -5*w + 3*y = 3400. Let p = 2349 + w. Is p a composite number?
False
Let n be (-555)/10*(-24)/(-18). Let l = 79 + n. Suppose l*b + 0*b - f = 13948, 2*f - 13939 = -5*b. Is b prime?
True
Let k(u) = -22*u**3 + u**2 + 15*u + 3. Let g be (2 + 0/(-2))/((-3)/(-9)). Suppose -2*w = -g*w - 16. Is k(w) prime?
True
Suppose -36 = -4*x - 12. Suppose 18 + x = -4*m. Let o(i) = -2*i**3 - 4*i**2 - 2*i + 1. Is o(m) prime?
False
Suppose -92*h - 142260798 = -342*h - 21985298. Is h a composite number?
True
Let j = -1041 - -1749. Suppose -1356 = 4*q + j. Let o = 1007 + q. Is o a composite number?
False
Let s = 222 - 320. Suppose m - 638 = 2*z, 3*z + 346 = -4*m - 633. Let l = s - z. Is l a composite number?
False
Suppose 69*p - 162692 = 64*p - a, 3*a + 32548 = p. Is p prime?
False
Suppose -7*t + s + 1865640 = -0*s, -35 = -5*s. Is t prime?
True
Let p be (-2)/(-15) + (-42)/(-135)*6. Suppose -3*k + 14211 = -3*x, -p*x = 3*k - 8*k + 23700. Is k prime?
False
Let d(l) = -5*l**3 + 71*l**2 + 64*l + 183. Is d(-29) a composite number?
True
Let y be ((-125)/2)/(13/(-962)). Suppose -11*u - 1942 - y = 0. Let t = u + 856. Is t a prime number?
False
Suppose 0 = 2*s + r + 3*r - 18, 2*r = -4*s + 18. Suppose d + a + 100 = 531, s*a = 5*d - 2123. Is d prime?
False
Let w = -53 + 59. Suppose -3430 = 4*p - w*p. Let v = p - 564. Is v a composite number?
False
Is (5 + 55/(-22)*(-24)/(-15))*353 composite?
False
Let h = 277926 - 198135. Is h composite?
True
Let s be (1 + -5)*(-2)/4. Suppose -h = 4*k + 10, 2*k + 53 = 47. Suppose 5*t = -o + 427, -h*t - o = -s*o - 168. Is t composite?
True
Let y(t) = 28526*t**2 - 51*t + 176. Is y(3) a prime number?
True
Let d be (-44)/(-6)*222/4. Let m = d + -138. Is m a composite number?
False
Suppose 155*p + 164*p + 4359943 = 326*p. Is p composite?
False
Let d(q) be the third derivative of q**6/40 - q**4/3 - 2*q**3/3 + 8*q**2. Is d(5) prime?
True
Let n(f) = -f**3 - 13*f**2 + 13*f - 10. Let x be n(-14). Suppose -3*y = x - 13. Suppose y*j + h = 1118, 4*j + 2*h + 375 = 5*j. Is j a prime number?
True
Let o(b) = -13*b + 99. Let i(a) = -a + 1. Let w(h) = 2*i(h) + o(h). Is w(-6) prime?
True
Suppose -6*o = -15*o - 162459. Let a = -12764 - o. Is a a prime number?
False
Let v = 261102 + 349129. Is v prime?
False
Suppose 0 = z + 19*g - 18*g - 5, -4 = -2*g. Let s = -15570 - -27883. Suppose 0 = z*h + 4*h - s. Is h prime?
True
Let t = -16379 - -544626. Is t a prime number?
True
Let i(v) = 2*v**2 + 42*v - 71. Let g be i(-23). Suppose 20*w - 3*x = g*w - 6142, -5*x + 12279 = 2*w. Is w composite?
True
Let g be -3 - ((-2)/4 - 21595/(-10)). Let h = 4433 + g. Is h a composite number?
True
Suppose 4*a + 20 = 0, -2*a + 523 = y - 98. Is y*(10 - 3 - 6) prime?
True
Suppose 38 - 128 = -15*h. Suppose -h*m = 3*n - 4*m - 2391, -797 = -n + 4*m. Is n a prime number?
True
Suppose 3*d - 4*o - 5 = 0, o = -5*d - 4*o - 15. Is d - (-5746 + -3 + -1) a prime number?
True
Let v(c) = -16*c**2 + 124*c + 7. Let l(j) = 4*j**2 - 31*j - 2. Let h(g) = 9*l(g) + 2*v(g). Let k(d) be the first derivative of h(d). Is k(19) composite?
True
Suppose -4364804 = -290*t + 11704386. Is t a prime number?
True
Let w(r) be the first derivative of r**4/4 - 7*r**3 - 11*r**2 - 24*r - 7. Let v be w(22). Is (12/v)/(2/(-652)) a prime number?
True
Let l be ((-24)/10)/(-6 - (-57)/10). Suppose -3*z = 4*y - 31, 0 = y - 2*z - 2 + l. Suppose 4*s - 18512 = y*c, 3*s - c = 6*s - 13880. Is s a composite number?
True
Suppose 117*u = -202*u + 268760371. Is u a prime number?
False
Is 2*(-9 + (-24069)/(-6) + -4) prime?
False
Suppose 2*d - 276 = 4*t + 4412, 2*t = -5*d + 11780. Is d + -4 + (3 - -4) prime?
True
Let d(f) = -26908*f - 9. Is d(-5) a prime number?
False
Suppose -101*p + 180*p - 4192451 = 0. Is p prime?
True
Let q(f) = 89*f**2 + 33*f + 3. Let b be q(10). Suppose 2*g - 18463 = -5*s, 0*g - g = 2*s - b. Is g a prime number?
True
Let o be -10*(-10)/(-4)*57603/(-195). Let w be 116*12 + 1 + -3. Suppose -5*g - w = -o. Is g a prime number?
False
Suppose 25*i + 1605425 + 5806875 = 125*i. Is i prime?
False
Suppose 0 = -h - 3*h + 8. Suppose -h*j - 7 = -3. Is j - (-477)/6*2 a composite number?
False
Let u = -532 + 291. Let x = u + 398. Suppose 5*t + 3*o - 1124 = -373, -x = -t - 4*o. Is t composite?
False
Let v(x) = 60*x**2 + 198*x - 5665. Is v(28) a prime number?
True
Let j(l) be the first derivative of 3603*l**3 + 7*l**2 + 27*l + 200. Is j(-2) composite?
True
Let w = 614 - -421. Suppose 0 = 8*b - 13*b + 10, 3*b = l - w. Is l a composite number?
True
Let j(z) = 8*z + 1. Let a be j(-5). Let b = -37 - a. Suppose -l = b*g - 820, 2*l + 407 = g + l. Is g a prime number?
True
Suppose -7*u = 8*u. Let i be 52/20 - 9/15. Suppose 1280 = 2*b - u*b + i*x, 3*b - x - 1924 = 0. Is b composite?
False
Let k be 5*(171759/35 - 1). Suppose -4*f + 49082 = 2*u, 2*f - u - k = u. Is f composite?
False
Suppose 5589 = 2*h + f, h + 121 = -4*f + 2933. Suppose -72 = -21*b - 3*b. Suppose -4*s + b*u + 6614 - 1009 = 0, -h = -2*s - 2*u. Is s prime?
True
Suppose -6*h + 276122 = h. Suppose 2*i + 4*b - h = 0, 0 = -0*i + 2*i - b - 39431. Is i composite?
False
Let j be (13/3 - 5)*-6. Suppose -5*n = j*q - 12518 - 1321, -11067 = -4*n + q. Is n composite?
False
Suppose -8*r = -4*r + 12, -r - 18 = -a. Suppose u - 2951 = -0*u + 4*g, -5*g = a. Is u composite?
False
Let y = -128 + 86. Let c = y + 36. Is 19/((c/27)/((-4)/9)) prime?
False
Suppose -656*s + 12903353 + 19154861 = -82459050. Is s a prime number?
True
Is (-30)/55 - (-4 - 36741131/77) a prime number?
False
Suppose 4*g - 4*y = 3224, 0 = -4*g + 2*g + 5*y + 1621. Let q(l) = l**3 - 8*l**2 + l - 2. Let h be q(8). Is g/5 + h/15 a prime number?
False
Suppose -5*j + 32602 = -3*r, -5*j = -9*j + 4*r + 26080. Is j prime?
True
Let d be 1/(-3*(-6)/360). Suppose -d*u + 14*u + 2334 = 0. Is u a prime number?
True
Suppose -40077 = p - 3*p - y, 0 = 3*p - 4*y - 60143. Suppose 21*f = 28*f - p. Is f prime?
False
Let y = 1188 + -1505. Suppose -1656 = -6*c + 3*c. Let d = c + y. Is d prime?
False
Let u = 81251 + 54450. Is u prime?
True
Let f(t) = -37*t**2 + 2*t - 43. Let o be f(5). Suppose -6602 + 1092 = -4*q - c, -q = -2*c - 1373. Let l = q + o. Is l prime?
True
Suppose 194*j - 159*j - 14351015 = 0. Is j a composite number?
False
Suppose 30 = -19*q + 14*q. Is q/(-3) + 3 - -414 a prime number?
True
Let g(d) = 60*d**2 + 11*d + 106. Let b(c) = 30*c**2 + 6*c +