225819. Is y a prime number?
True
Suppose 0 = 23*f - 279309 - 94970. Is f composite?
False
Let q(a) = 6*a**3 + 7*a**2 + 68*a + 55. Is q(12) composite?
True
Let n = 148 - 142. Suppose 40815 = 3*g + n*g. Is g a composite number?
True
Let v = 10 - 23. Let o(j) = j**2 + 11*j - 22. Let w be o(v). Suppose 9*z = w*z + 4145. Is z a prime number?
True
Let u be (-2)/((-2)/5*(-55)/22). Is (-762 + (0 - -4))/(u/17) composite?
True
Let q be 1*(6 + 164/4). Suppose 1021 + q = 4*a. Is a prime?
False
Suppose 118*a - 31*a = 58*a + 16448191. Is a a composite number?
False
Suppose 0 = 41*f + 49 - 336. Let o(p) = 7*p**2 + 11*p - 14. Let k(u) = -8*u**2 - 11*u + 15. Let s(c) = 6*k(c) + 7*o(c). Is s(f) prime?
False
Let q be (-2)/((24/46)/(-6)). Let v be -16 + q - (1 + 3). Suppose v*r = 5*r - 148. Is r a composite number?
True
Let j be 2/3*(-411)/(-2). Suppose -74 = -p + j. Is p prime?
True
Suppose -4*i - 639 = 3*l - 1854, 1218 = 4*i + 2*l. Let v = i + -529. Let u = v - -708. Is u composite?
True
Suppose 0*f - f = -575. Suppose -1028*l + 1034*l = 12. Suppose -l*k = 3*k - 2*x - 2907, -2*x = -k + f. Is k a prime number?
False
Suppose 6*l - 84 = -l. Let b be (-10)/(-25)*2*-5. Is 1 + b - (l + -858) composite?
True
Suppose -124*z - 652456 = -129*z - 3*p, 5*p = 3*z - 391494. Is z a prime number?
False
Let c = 33 + -25. Let b(o) = -o + 4. Let r be b(c). Is (-17)/(-34) + (-2674)/r a composite number?
True
Suppose 9*k + 48285 = 418302. Is k prime?
True
Let y(w) = -w**3 - 8*w**2 - w + 5. Let i be y(-8). Let s = i + 37. Suppose s = 3*m - 16. Is m a composite number?
True
Let a(b) be the third derivative of 41*b**4/8 + b**3/3 - b**2. Let d be a(-1). Let n = -83 - d. Is n a prime number?
False
Let p = -14633 - -72072. Is p composite?
True
Let q(v) be the second derivative of -3*v**5/5 + v**4 + v**3/3 + 65*v**2/2 - 4*v - 9. Is q(-11) a prime number?
True
Let u = 18 - 14. Suppose v + u = 7. Is (3/v)/(11/7711) composite?
False
Suppose -3*r + 3*z = 2*z - 44899, -2*r = 2*z - 29922. Suppose 7*i - 2*i = r. Is i composite?
True
Let i(t) = -10*t + 88. Let s be i(8). Let l(a) = 96*a**2 - 7*a + 57. Is l(s) prime?
False
Let v(y) = -119*y + 532 - 262 - 268 + 22*y**2 + 120*y. Let p(s) = -s**2 - 2*s + 1. Let x be p(2). Is v(x) a prime number?
False
Let x(d) = -d**2 - 13*d - 35. Let t be x(-7). Suppose t*z - 3662 = 6719. Is z a prime number?
True
Is (-14)/(196/(-282163))*2 prime?
False
Suppose 44 - 69 = -5*n - 3*b, 5*n - 15 = -b. Is 11/n*25156/38 prime?
False
Let j(u) be the second derivative of -u**5/20 - 5*u**4/6 - 2*u**3/3 - 8*u**2 + 14*u. Let c be j(-10). Is 0 + (-11514)/(-8) - 6/c a prime number?
True
Let x = 569 + -565. Suppose n + 5*d = 1969, -5*n - x*d + 10866 - 1105 = 0. Is n a prime number?
True
Suppose 91*v - 95*v + 1304617 = 5*u, v = -2*u + 521845. Is u prime?
True
Let q(m) = 3*m + 10. Let r be q(-6). Is 34561/76*1/((-2)/r) a prime number?
False
Let g = 91 - 87. Suppose 215 = 2*r + r - g*f, -4*r = 3*f - 245. Is r a composite number?
True
Suppose -5*s = -3*j - 18, -5*s + 34 = 6*j - 5*j. Is -2*s/12 + 1760 a composite number?
False
Let g = -426 + 399. Is 1*9/g*-30633 a prime number?
True
Suppose -2*q + 182262 = 4*s, q - 160236 = -5*s + 67602. Is s a composite number?
False
Let j = -4068 - -5923. Let b = 478 + j. Is b prime?
True
Let s = 15229 - 3808. Let j = -7424 + s. Is j prime?
False
Suppose 0 = 6*s + 3 + 9. Let a be s/(-3) - (-54468)/27. Suppose 0 = -2*t - 0*t + a. Is t prime?
True
Let f(c) = 11*c**3 + 6*c**2 - 4*c - 3. Let t be f(2). Suppose 121*h - 32820 = t*h. Is h a prime number?
False
Let t be 82/(-205) + 12/5. Is (-1 - 805)/(t/(-1)) a composite number?
True
Let h(x) = 78*x**2 - 27*x - 131. Is h(-8) composite?
False
Suppose 0 = 5*l - 3*z - 17, 2*z = -l + 3*z + 3. Let r be (-6)/10 - (l - 24536/10). Let o = r + -1262. Is o composite?
False
Let g(w) = -23 + 613*w**2 + 603*w**2 + 10*w - 1208*w**2 + 24*w**3. Is g(5) composite?
True
Let d = -1719526 - -3204717. Is d composite?
False
Let h = 387 + -382. Suppose 4*j + 23912 = 9*j - n, -23903 = -h*j + 4*n. Is j a composite number?
False
Let y = -166 - -170. Suppose y*n = -2*w + 3138, 9*n - 5*n = 2*w + 3158. Is n a prime number?
True
Suppose -3*j = 2*y - 332691, -746*y + 739*y = 21. Is j a composite number?
False
Let u(c) = 18061*c**2 + 12*c + 166. Is u(-9) composite?
False
Let c(l) = -261*l - 4. Let b(k) = k - 9 + 2*k + 0 - 2*k. Let z be b(2). Is c(z) prime?
True
Is (-2)/(-24) + (-65342446)/(-312) composite?
False
Let v = -205 - -209. Suppose 17666 = v*b - 2*t, 2*t - 8836 = -5*b + 3*b. Is b composite?
True
Suppose -330464 = -2*m + 3*n, -m - 55*n + 165227 = -54*n. Is m a prime number?
True
Suppose 4*p + 2*d = p + 9, -4*p + 3*d = 5. Suppose -p + 55 = -6*j. Is (-4206)/j + 5/(-15) prime?
True
Suppose -k - 4*o = -7*o - 73, -k - 4*o + 59 = 0. Let i = 71 - k. Suppose 6*a = -5*r + 2*a + 4326, 16 = i*a. Is r composite?
True
Suppose 0 = -65*i + 965933 - 23368. Is i composite?
True
Let h = -58359 + 101322. Is h a composite number?
True
Let o(k) = -7*k**3 - 27*k**2 + 19*k + 17. Let y be o(-19). Is 3/24*y - (-6)/8 prime?
False
Let f(r) = r**3 - 16*r**2 - 37*r + 32. Let g be f(18). Suppose -5428 = g*y - 27464. Is y prime?
False
Let k be 1 + (-82555)/15 - 2/6. Let l = k - -9704. Is l prime?
True
Let p(c) = -6*c**3 - 43*c**2 + 3*c - 5. Let u(s) = -6*s**3 - 44*s**2 + 3*s - 6. Let o(t) = 5*p(t) - 4*u(t). Is o(-9) a prime number?
True
Let r = -8881 - -10094. Is r prime?
True
Suppose -9 + 5 = -2*z. Suppose -9 + 1 = z*h. Is -11*((-1)/h - (-948)/(-16)) a composite number?
True
Let s(b) = 225*b**2 + 75*b - 4081. Is s(41) composite?
False
Let o(a) = -a**3 - 32*a**2 - 164*a - 365. Is o(-66) prime?
True
Let x(m) = -209*m + 73. Let z be x(-12). Suppose -3*g + 36 = g. Suppose -g*s + 1424 + z = 0. Is s composite?
True
Let r = 116640 + -69667. Is r composite?
True
Let t(g) = -72 + 32 - 2*g + 22 - 3*g**3 + 37. Suppose -2*a + 2*h - 3*h = 21, -3*a + 2*h = 14. Is t(a) a composite number?
False
Let w(d) = -2*d**3 - 31*d**2 - 197*d - 29. Is w(-36) prime?
False
Suppose 0 = -5*d, -2*g - 3*d = -4*g + 26. Suppose -g*f = -4*f - 3393. Let n = -199 + f. Is n composite?
True
Let m(q) = 2*q**3 - 45*q**2 - 24*q + 17. Let r be m(23). Is (-2092)/(-2) - r*7/14 a prime number?
True
Let w = 2873 - -4130. Is w a prime number?
False
Let v = 164847 - 101176. Is v composite?
False
Let v(p) = 4*p - 226*p**3 + 0*p**2 - 10*p**2 + 3*p**2 - 4. Let h be v(3). Let i = -4215 - h. Is i a composite number?
True
Let o = -45 + 45. Suppose 2*r - 5*k = -o*k + 24, 0 = 3*r - k - 10. Is 4/r*492/8 a prime number?
False
Let a = 7 + -2. Suppose -3*u + 1 = -a. Suppose u*b - 255 = -3*b. Is b composite?
True
Let p be -1 + 51/45 - (-343064)/120. Let j = p - 1988. Suppose -2*q - 289 = -m, 4*m - m - 4*q = j. Is m a composite number?
False
Suppose -3*j - 251 = -r, -69 = 3*r - 4*j - 797. Is (195/12 + -6)/(1/r) composite?
True
Suppose -k = -3*w - 692615, 2*k = 2*w + 1184345 + 200893. Is k a composite number?
False
Is 2/(-24) + (-2088696940)/(-2640) + 0 + -14 composite?
False
Suppose 386*f - 45323139 = 188*f + 42183555. Is f composite?
False
Let z be (-10)/(-3) + 6/9. Suppose -2*c = -5*w - 3*c + 215, -3*c + 183 = z*w. Let a = 116 - w. Is a composite?
True
Let n be 25*((-11)/(55/513098) + -2). Is (7/(-2) + 1)*n/675 a composite number?
True
Suppose o - 5*r - 231234 - 176943 = 0, 10*r = 5*o - 2040765. Is o a composite number?
False
Suppose -16*a = -17*a - 5292. Let q = a + 2403. Let j = q + 4132. Is j composite?
True
Let j(z) = z**3 + 46*z**2 - 17*z + 43. Is j(-33) prime?
False
Let x be 17*2/(-6)*-93. Suppose x = 2*c - 1067. Is c a composite number?
False
Let d be 33 + -27 - 3144/(-2). Let q = d + -884. Is q composite?
True
Let n(k) = k**2 + 3*k - 9. Let f be n(-10). Let c = f + -52. Is c/45 + -11*(-1332)/15 a prime number?
True
Let h be (70 - -2)*(-4)/(-6). Let d(s) = 4 + 86*s - 46*s - h*s + 27*s**2. Is d(3) a prime number?
True
Let n(b) = 30*b**2 - 10*b + 33. Let j be 6/51 - 1720/170. Let t be n(j). Suppose 3*k = 4*p - t, 778 - 6 = p - 3*k. Is p prime?
True
Suppose -5*s + 1926126 = a, 45*a - 43*a - 770452 = -2*s. Suppose -21*v - 13672 = -s. Is v a composite number?
True
Let t = 20991 - 14603. Suppose 10*w = 6*w + t. Is w a prime number?
True
Let a = 60 - 50. Suppose a*l = -10 + 40. Suppose 573 = l*t + 3*j, t + 2*j + 3