?
True
Suppose 9*d - 774999 = -2*q, -231502 - 26831 = -3*d + 5*q. Is d composite?
False
Let v(p) = -p - 15. Let o be v(-9). Let u(w) = 205*w + 7. Let g be u(o). Let n = -820 - g. Is n a prime number?
False
Suppose 0 = j + 3*u - 75926, j + 2*u = 93660 - 17737. Is j a prime number?
False
Is 11638773/116 + (35/4)/(-7) composite?
False
Let j = 5 - 8. Let p(m) = -30*m**3 + 9*m**2 - 5*m + 35. Let k be p(5). Is (-3 + k)/(6/j) a composite number?
False
Let w(l) = 2*l**2 - 5*l. Let q be w(2). Is q*-93706*(-4)/(-16) prime?
True
Let n(z) = z**3 + 5*z**2 + 12. Let p be n(-5). Is (-39)/(-30)*5002 - p/20 composite?
True
Suppose 630653 + 502166 = 23*t. Is t a composite number?
False
Let u be (0 + -1)/(41/(-41)). Is (u*508)/(36/9) a prime number?
True
Let u(t) = -8*t**2 + 34*t + 34. Let o be u(-1). Is 1 + 10/o + (-151704)/(-224) a prime number?
True
Is 1370/14385 + (-19365715)/(-21) composite?
True
Let t be (-682)/(-165) - (-14)/(-105). Suppose 0 = -2*s - t*v + 32598, 23*v - 16300 = -s + 22*v. Is s prime?
True
Suppose -5*t = 75671 + 49069. Let a = t + 36187. Is a composite?
False
Suppose 86314 = 3*b + k, 0 = b + k + 1605 - 30377. Is b a composite number?
False
Suppose -8*u = -41010 - 23302. Let r = -5536 + u. Is r a prime number?
True
Let x(i) be the third derivative of i**5/60 - 13*i**4/24 - 14*i**3/3 + 13*i**2. Let n be x(15). Suppose o + n*r - 3*r - 414 = 0, 2*o + r = 843. Is o composite?
False
Let h(l) = -l - 2. Let i be h(-7). Suppose 2*f + 14 = 2*q, 5*q + 2*f - i = 2. Suppose 1005 = -q*u + 6*u. Is u a prime number?
False
Let k be (-4)/8 - 15/(-6). Suppose 5*j + 4*v - 11127 = k*j, 4*j = 3*v + 14861. Is j prime?
False
Is (-1386118)/(6 - 16 - -8) a prime number?
False
Suppose 3*a - 279 = -297, -3*w = 4*a - 974931. Is w a composite number?
True
Let f = 24880 - 16527. Is f a composite number?
False
Let f(u) = -3*u**3 + 7*u**2 - 11*u - 6. Let i be f(-8). Let r = i + -171. Is r a composite number?
True
Let n(o) = 739*o**2 + 11*o + 209. Is n(-32) composite?
False
Let f be (2/(-4))/(85/(-850)). Let q(c) = 13*c**2 + 3*c - 5. Let r be q(5). Suppose 1255 = 5*l - 5*j, l - r = -f*j - 84. Is l a prime number?
True
Let i(m) = -12*m - 51. Let q(w) = -w - 4. Let h(o) = -2*i(o) + 27*q(o). Let p be h(0). Is ((-87)/p)/(-1 + (-94)/(-92)) a composite number?
True
Suppose 7*c = 2*c + 10. Let u(a) = -10 + 7 + 0 + a**3 - a - 10*a + 2*a**c. Is u(10) a composite number?
False
Suppose 3195 - 564 = m. Suppose -3939 = -5*o - z, 5*z - 3208 + 849 = -3*o. Let r = o + m. Is r prime?
False
Suppose -3*z - 3*v = -0*z - 21, -3*z - 2*v + 26 = 0. Let b(l) = 121*l - 195. Is b(z) a composite number?
True
Let u = 96 + -90. Suppose -u*d = -8*d + 4. Is 1/((-5)/d) - (-167)/5 a composite number?
True
Suppose 120 = -2*z + 330. Suppose -96*b = -z*b + 81495. Is b a composite number?
True
Let a(q) = q + 1. Let h(v) = -20*v. Suppose -4*t = 4*j + 3 - 11, 0 = -t + 3. Let i(d) = j*h(d) - 3*a(d). Is i(2) a prime number?
True
Let o(q) be the second derivative of 163*q**4/2 - q**3/6 - 6*q - 2. Suppose f - 1 = -0. Is o(f) prime?
True
Let d be (-130024)/7 - ((-600)/(-84) + -7). Let b = -5266 - d. Is b a prime number?
True
Let n(y) = -67817*y - 1648. Is n(-25) a composite number?
False
Let l(a) = a**3 + 6*a**2 - 10*a - 16. Let d be l(-7). Let t be 698/8 + d/(-20) + 0. Suppose -70 = -4*s - 3*u, 5*s + 2*u + 2*u = t. Is s prime?
True
Let q(y) = y**3 + 11*y**2 + 8*y - 35. Let j be q(-12). Let w = 816 + j. Is w a composite number?
False
Let c(n) = 66*n**2 - 86*n - 1293. Is c(-16) a prime number?
True
Let n(w) = -34*w**2 - 3*w - 1. Let o(y) = 14*y**2 + y. Let j(g) = 2*n(g) + 5*o(g). Let u = 8 + -3. Is j(u) a composite number?
False
Let h(u) be the second derivative of u**4/12 + u**3/3 - 5*u**2 - 20*u. Let d be h(3). Is ((-2616)/(-30))/(2/d) a prime number?
False
Suppose -2*u + 37*d = 35*d - 9552, -u + 4761 = 2*d. Suppose 2*f = 5*t + 14210, -5*t + 0*t - 2*f = 14190. Let o = u + t. Is o composite?
False
Let y(w) be the third derivative of -w**5/60 - 7*w**4/24 - 2*w**3 - 16*w**2. Let v be y(-4). Suppose 5*h + 4*u = 199, u - 211 = -5*h - v*u. Is h composite?
False
Suppose 2118427 = -57*d - 404*d + 14339998. Is d a composite number?
True
Is (1/6)/(9/7578594) - (-24)/36 a prime number?
False
Suppose 9497 - 3751 = 169*k. Is k prime?
False
Let p = -2516 - -5202. Suppose -22*m + p + 1956 = 0. Is m a prime number?
True
Let z = 11 - 18. Let n(t) = -39*t**2 + 3*t + 33. Let k(u) = 77*u**2 - 7*u - 67. Let g(f) = -6*k(f) - 13*n(f). Is g(z) a prime number?
False
Suppose -38*y + 22*y - 8719439 = -87*y. Is y a prime number?
False
Let m = -14299 - -27090. Is m prime?
True
Let g(a) = 3*a**3 + 6*a**2 - 9*a + 1. Let u(d) = -d**3 - d. Let b(k) = -g(k) - 4*u(k). Is b(6) prime?
False
Let s be (-110)/(-11)*(-2)/(-4). Suppose -7*a + s*a + 3331 = h, -2*h + 2*a = -6650. Is h composite?
True
Let g be (-4 - 5595) + (-16)/(-4). Let q = g + 11576. Is q a composite number?
False
Let g = 13713 + -1450. Is g a prime number?
True
Suppose 4*w = 0, 0*z = -2*z + 4*w + 62822. Is z a prime number?
False
Let k = -1486 - -1002. Let j = k + 777. Is j prime?
True
Suppose 3*g = 5*v + 179217, 4*v + 35837 = 4*g - 203135. Is g a prime number?
False
Let d = 221 + -216. Suppose -p = -3*k - 3103, -4*k + 21536 = d*p + 6059. Is p a prime number?
False
Let u(d) = -38535*d - 9700. Is u(-7) a composite number?
True
Let a = 154177 + -86496. Is a a prime number?
False
Let f = -11506 + 110127. Is f prime?
True
Suppose 0 = -5*g + z + 18, 2*g - 15 = -3*z + 6*z. Let b be (166 + -1)/g - 3. Suppose -b*j + 4990 = -47*j. Is j prime?
False
Suppose 42529643 = 52*i - 1504217. Is i a composite number?
True
Suppose -4*p - 3 - 5 = 0, -u + p + 7 = 0. Suppose -4*a + u = b - 35, 5*b = a + 11. Suppose -4*q + a*q - w - 4102 = 0, 4*q = 2*w + 3278. Is q prime?
True
Suppose 0 = 2*c + q - 15641, 5*c - 257*q = -256*q + 39078. Is c a prime number?
True
Suppose 0 = -6*x + 24*x - 72. Suppose 0 = x*d - 40*d + 273096. Is d composite?
True
Let f(t) = -323*t - 94. Let s be f(9). Let q = s - -5438. Is q prime?
True
Let j = 10211 + -1302. Is j composite?
True
Is 86/1161 - 139088565/(-243) a composite number?
True
Suppose -q - x - x + 231 = 0, -3*q + 2*x + 733 = 0. Let w = q + -1095. Let b = -297 - w. Is b composite?
False
Let g = 3454889 - 2352652. Is g a composite number?
False
Let f(i) be the second derivative of -13*i**6/45 - i**5/40 + 4*i**4/3 - 26*i. Let k(s) be the third derivative of f(s). Is k(-1) prime?
False
Let c(t) = -118*t**3 + 28*t**2 + 39*t + 368. Is c(-9) composite?
True
Suppose -138331042 - 133012269 = -379*w - 84044922. Is w composite?
False
Let s(b) = 14*b**2 - 453*b - 58. Is s(53) a prime number?
True
Let d(s) = 20582*s - 887. Is d(3) composite?
False
Let c(l) = -41*l + 2*l**2 - 10 + 6 + 47*l - 3*l**3. Is c(-3) composite?
True
Suppose -6*x - 16 + 28 = 0. Suppose 4*z + x*o - 27122 = 0, -5*z + 20764 = -5*o - 13116. Is z prime?
True
Is -8 - -902855 - (29 - 3) composite?
False
Suppose -161 + 149 = -b. Suppose b*f + 2515 = 6343. Is f a composite number?
True
Let c be -401*(-612 - (-1)/1). Suppose -c = -7*w - 6*w. Suppose -w = -15*a - 952. Is a a composite number?
False
Let m(x) = 3*x - 38. Let i be m(10). Is i/56 - (-108376)/14 composite?
False
Suppose 8312*w - 8317*w = -1520405. Is w prime?
True
Suppose 18*p - 31 = 5. Is (p/(-4))/(-2*1/87852) prime?
False
Let b be ((-32)/20)/((-8)/20). Suppose 0 = -4*m + 5*l - 23 - 2, -3*l + 15 = -b*m. Suppose m = 2*z - 1172 - 966. Is z a prime number?
True
Let l(a) = 4*a - a + 1 - 3*a**2 - 6*a. Let x be l(-2). Is (-44093)/(-35) + 4/x a composite number?
False
Suppose 0 = 3*x + 767 - 62. Is -3 - -1 - x*1 a prime number?
True
Is (-46*4/16)/(5 - 2111/422) a composite number?
True
Let u = -22555 + 85494. Is u a prime number?
True
Suppose 4*y - 281 = -i + 70, 0 = 3*y + 5*i - 242. Let w = 81 - y. Is 3608/w*(1 + -2)/1 a composite number?
True
Suppose 4*o + 3 = -2*t - 1, 4*t = -o + 6. Is o/(-4) - (10 + (-252030)/12) a composite number?
True
Is 161208/2 - (-5 + 70)/13 composite?
False
Let n(u) be the second derivative of u**5/20 + 7*u**4/12 + 7*u**3/6 + 5*u**2/2 + 13*u. Let z be n(-6). Is (-46)/z + -2 + 3 a prime number?
True
Suppose 13*w - 4542 = 16583. Let j = w - 756. Is j prime?
False
Let f = -2197358 + 3119379. Is f composite?
False
Let z(c) = -9*c**3 + c**2 +