1 - g. Is j(d) a prime number?
True
Let i(b) = -210*b - 247. Let d(j) = -107*j - 124. Let g(y) = 5*d(y) - 2*i(y). Is g(-19) a composite number?
True
Let y(r) = -106*r**3 - 3*r**2 + 2*r + 6. Let t be y(-3). Suppose 0 = 3*v - 5*g - t, -g - 2*g = 3*v - 2811. Suppose -8*x + 4*x = -v. Is x prime?
False
Suppose -2029*i + 2027*i + 476158 = 0. Is i a prime number?
True
Is (-62)/(-2387) - (-7781154)/154 prime?
True
Let y = 28500 + 34037. Is y a prime number?
False
Is (3/(-9) + 22/12)/(873/73286022) a prime number?
True
Let b = -118398 - -207241. Is b prime?
True
Let w(m) = -m**2 + 18*m - 140. Let r be w(16). Is -1*24/r + (-184993)/(-9) a prime number?
False
Suppose -10*f + 35 + 5 = 0. Let w(v) = 34*v**3 + 9*v**2 - v + 1. Is w(f) a prime number?
False
Let n = -28441 + 81662. Is n a composite number?
True
Suppose -16*f = 24*f - 3710600. Is f composite?
True
Let r(y) = 497*y - 149 + 238 - 132. Is r(6) composite?
False
Let s be (166845/(-20))/(-21) - (-2)/(-8). Let k = s + 2344. Is k a prime number?
True
Let j(g) = 9*g**3 + 14*g**2 + 10*g + 31. Let f = 293 - 279. Is j(f) a prime number?
True
Suppose -20*m + 2*p = -22*m + 221280, 3*m = 5*p + 331960. Is m a composite number?
True
Let b(l) = -29*l**2 + l + 22. Let t be b(4). Let f = 1043 - t. Is f a composite number?
False
Let b(h) = 13*h**2 + 82*h + 75. Let n be b(36). Suppose r - 3195 = -2*a, 2*a - 3852 = 5*r - n. Is r composite?
False
Let x = 4046 - 1161. Suppose -2*g + x = 25. Suppose -887 = -7*j + g. Is j a prime number?
True
Suppose -5*o = p - 65, 25 = -0*p - 5*p. Suppose 19*f - 21*f = -o. Suppose -2607 - 326 = -f*i. Is i a prime number?
True
Suppose 0 = 4*d + 2*m - 1146, -m = 4*d - 919 - 232. Suppose 3*t = 287 - 707. Let s = d + t. Is s a prime number?
True
Let d = 61 - 61. Suppose d = 5*t - 3 - 22. Suppose 1004 + 911 = t*n. Is n a composite number?
False
Suppose -13*h + 11897738 = 8*h + 41*h. Is h composite?
False
Suppose -12*r + 399 = -417. Suppose -r*w + 72*w - 4324 = 0. Is w composite?
True
Let t be (0 + 1)*(-352 + 11). Let w = 1452 - t. Is w composite?
True
Let b(a) be the third derivative of 2*a**6/3 + a**5/60 + a**4/12 + a**3/6 + 2*a**2. Let m = -658 - -660. Is b(m) prime?
False
Suppose 0 = 4*j + z - 184775, 5*j = -z + 81919 + 149049. Is j composite?
True
Suppose 2*u - u = m + 2, -3*u = m + 2. Suppose -g - 5 = u, -4*j = -j + 4*g + 2267. Let k = 2152 + j. Is k a composite number?
True
Suppose 4*h - 3*h = 30082. Let u be (-8)/36 - (0 + h/(-18)). Suppose -u = f - 4*f. Is f a composite number?
False
Let p(g) = -5*g - 32. Let s be p(-26). Suppose s*j - 106*j = -60936. Is j composite?
True
Let w = 96983 - -46070. Is w a prime number?
True
Let h(a) = -8*a + 92. Let q be h(11). Suppose 5*w - 1475 = 4*o, -q*o + 885 = -2*w + 5*w. Is w prime?
False
Suppose -2949682 = -1838*d + 1833*d + l, -3*d = l - 1769814. Is d composite?
True
Suppose 5*i + 3 = 2*z + 7, 3*z = -i + 11. Is (4 + z + -6494)/(-1) a prime number?
False
Is 95537 + 20/(15 - 17) a prime number?
True
Let n(b) = -1195*b**2 - b + 1. Let p be n(-1). Let o = p - -2186. Is o composite?
True
Let r(h) = -568*h**3 - 2*h**2 - 14*h - 3. Is r(-2) prime?
True
Let o = -64520 + 234993. Is o composite?
False
Let a(b) = b**3 - 2*b**2 - 6*b - 8. Suppose 0*g = -n - g + 5, -21 = -3*n - g. Let f be a(n). Suppose k + 1656 = 5*q, 5*q + f = 6*q + 3*k. Is q prime?
True
Is (-9)/(-1) - (320/224 + 522612/(-14)) a composite number?
False
Is 6 - ((9100/(-8))/25)/(1/242) a prime number?
False
Let d be (-11 + 3)/((-6)/36). Is (d/18)/4*16446/4 a composite number?
False
Is (143/(-11))/(-182)*2891266 composite?
False
Let t(o) = 4286*o - 159. Let w be t(20). Suppose -31*s + 24*s = -w. Is s composite?
True
Suppose 2*g = -2*c - 0*g - 34, 0 = -3*c + 4*g - 65. Let x = c - 32. Let t = 106 + x. Is t a prime number?
False
Suppose -4*g + 477232 + 1612545 - 652269 = 0. Is g prime?
True
Let p be (-6)/(-4)*38/(-57)*-59. Suppose -13*q + p*q - 47978 = 0. Is q a composite number?
True
Suppose 262559 = 24*k - 76469 + 47452. Is k a composite number?
False
Let h = 937528 - 622581. Is h a prime number?
False
Let y(z) be the second derivative of -133*z**3 - 11*z**2/2 + 13*z - 2. Is y(-12) a composite number?
True
Suppose -5*w + 15 = -0. Let d be 45/10*(-3 + 33/9). Suppose 3*q = -w*c + 3369, -q + 0*q = d. Is c a prime number?
False
Suppose 4*u + 1014395 = -11*u + 5591420. Is u prime?
False
Let y = -48 - -52. Let h be -3*(y/(-1))/12 - -1. Suppose 744 = h*a - 1634. Is a a composite number?
True
Suppose 0 = a + 4*j - 150, a = -2*a + 3*j + 525. Let q = 192 - a. Is q composite?
True
Let q = -7 + 2. Let p be -12 + 993 - (-1 - q). Suppose -5*w + 746 + p = 3*x, w + 3*x - 335 = 0. Is w prime?
True
Suppose 55*g = 50*g + 300. Suppose 57*h + 3009 = g*h. Is h prime?
False
Suppose 0 = -8*g - 2*g. Let y(s) = -s + 8813. Is y(g) a prime number?
False
Let b(d) = 587*d - 121. Let f be 2/((-12)/(-110)) - 6/18. Is b(f) composite?
True
Let n(a) = -4*a - 22. Let b be n(-6). Suppose 0 = -2*i - b*u + 508, -2*u - u = -5*i + 1270. Is i composite?
True
Suppose -4*u + 137263 = 7*c - 2*c, -4*u = 3*c - 137257. Is (u + -1)*4/12 a composite number?
False
Suppose -k - 116763 = -3*v - 27861, -3*k = 0. Suppose -o = -0*s + s - 7406, 0 = -4*o - 2*s + v. Is o prime?
True
Let r be (-5 - -7) + 7/((-21)/6). Is (212/6 + r)*918/36 a composite number?
True
Let m(i) = -i. Let y be m(-4). Suppose -13 = -y*p + 3. Is (-6459)/4*p/(-3) a composite number?
False
Let a(v) = 28032*v + 79. Is a(19) prime?
True
Let x(t) = 22*t**3 - 21*t**2 + 172*t - 62. Is x(21) prime?
True
Suppose 0 = -4*i - 3*y + 1070422, -2*i + 74*y + 535196 = 73*y. Is i prime?
True
Let a(m) = 37*m**2 + 9*m - 14. Let t be a(4). Suppose -17*h + t = -15*h. Is h a composite number?
False
Let j = 4522 - 3060. Let p = -761 + j. Is p a prime number?
True
Let s = -103 - -131. Let u be -5*((-20)/s + (-4)/14). Suppose -4*p + 6307 = -p + u*d, -4*d = p - 2107. Is p a prime number?
True
Let a(r) = -1010*r - 481. Is a(-129) prime?
False
Let f(q) = 18*q + 64. Let z(n) = 34*n + 129. Let h(x) = 5*f(x) - 3*z(x). Is h(-12) a prime number?
False
Suppose 0 = -3*b - 3*q - q + 80735, 3*q - 26900 = -b. Is b a composite number?
False
Suppose 0 = 2*g - 4*s - 126, -s - 39 = -g + 26. Suppose -3*h + g = -32. Suppose 2*n = r - h, 0 = -5*r + n - 6*n + 180. Is r a composite number?
True
Let j = 261700 - -32863. Is j a prime number?
True
Let g = 13745 + -9151. Let j = g - 2391. Is j prime?
True
Let r(t) = 5*t**2 - 2*t + 14. Let o(d) = 4*d**2 - 3*d + 14. Let g(q) = 4*o(q) - 3*r(q). Let w be g(-6). Suppose -5*l = -3*p - 491 - w, -2*p - 8 = 0. Is l prime?
True
Let r(m) = -40307*m + 3065. Is r(-6) prime?
False
Let i = 45334 - 1331. Is i a composite number?
True
Suppose -3258 + 1347 = -y. Let v = y - 1142. Is v a prime number?
True
Let j(v) = -51*v**3 - 23*v**2 - 47*v + 8. Is j(-11) prime?
False
Let z(n) = 2*n**2 + 2*n + 2. Let v be z(-2). Suppose 7*t - 13751 = -3*a + v*t, -4 = -2*t. Is a composite?
False
Suppose 2*o - 2*c - 14126 = 0, -o - 5*c + 7051 = -0*c. Is o composite?
True
Let m be (86/6 - 10/(-15)) + 3. Suppose -37 + 2 = 4*h + q, 3*h = 2*q - m. Is (-61305)/(-20) + 2/h prime?
False
Let d = 2 + 8. Suppose 6468 = -d*w + 15688. Is w a composite number?
True
Let t = 241200 + 143953. Is t a composite number?
False
Suppose -425231 = -3*w + 2*c, -5*w + c + 230178 = -478524. Is w a prime number?
False
Suppose 54*m - 68*m = 875060 - 3841702. Is m a composite number?
True
Let p = -1323594 - -2014061. Is p a prime number?
True
Let t(w) = -w**3 + 17*w**2 + 2*w + 1904407. Is t(0) a prime number?
True
Suppose 8 = 4*f - 2*j, -3*f - 6 = -6*f - 3*j. Suppose -2*p = -3*y - 3812, 2*y = f*p - 2296 - 1516. Is (4 - 14/4)*p composite?
False
Let l be (-26)/(-3)*(3 - 0). Let n = 660 + -670. Is l/65 + (-566)/n prime?
False
Let d(w) = 35*w**3 - 4*w**2 - 3*w - 13. Suppose l - 18 = 3*q, 0 = -l - 4*q - 9 - 8. Is d(l) prime?
True
Let u be -5 + 2 - (0 - 30). Suppose i + 0*i - 5*b = u, -4*i = b - 3. Let v(y) = 104*y - 9. Is v(i) a prime number?
True
Suppose -63 = -3*m + 2*w, -3*w - 104 = -5*m - 0*w. Suppose -m*i + 2461 = -18*i. Is i a prime number?
False
Suppose -4*q + 4*d = 6*d - 362648, q - d - 90653 = 0. Is q a prime number?
True
Let g = 7 + -2. Suppose -g*u + 6 = -2*u. Suppose 3*l - 31 = u*l. Is l a composite number?
False
Suppose 0 = 5*x +