rue
Is 25009 + 3 + -6 + 7 prime?
True
Suppose -35*j = -74*j + 2584803. Is j a composite number?
True
Is 7/5 + -1 + (-11663)/(-5) a composite number?
False
Let p be 0/((12/8)/(6/(-8))). Let l(i) = -2*i**3 - 2*i**2 - i + 181. Is l(p) a prime number?
True
Let a(b) be the first derivative of -b**4/4 - 26*b**3/3 - 8*b**2 - 60*b + 25. Is a(-27) a prime number?
False
Suppose 5*k = 32 + 8. Let n(s) = -s**3 - 5*s**2 + 5*s - 1. Let w be n(-6). Suppose w*j = k*j - 903. Is j a composite number?
True
Let k be 28/6 + (-10)/15. Suppose 0 = 4*o - 8, 0*f - 5*f + 182 = -k*o. Is f a composite number?
True
Let v = -40037 - -58494. Is v composite?
False
Suppose -13*f + 883 = -2146. Is f a prime number?
True
Suppose -3*u = t + 11, -3*t + 2 = -2*u - 20. Let x(y) = -y**3 - y**2 + 3*y + 4. Let b be x(0). Suppose -3*f = -t*h - 1631, b*f - 2*h - 2709 = -f. Is f prime?
True
Let x(t) = 11*t**3 + 6*t**2 + 6*t - 9. Let b be x(5). Suppose 10*i - b = 4804. Is i prime?
False
Let i(w) = -w + 14. Let y be i(-6). Let k(t) = 2*t**2 - 14*t - 33. Is k(y) a composite number?
False
Suppose 12*f - 10*f = 1074. Is f a prime number?
False
Let n = -38 - -39. Let s(o) = 612*o**2 + 1. Is s(n) composite?
False
Let j = 327395 + -215934. Is j prime?
False
Let t(o) = -3*o + 39. Let h be t(13). Suppose -3*k - 2*q + 584 - 19 = h, -2*k + 362 = 5*q. Is k composite?
False
Suppose 0 = 850*b - 852*b + 142238. Is b composite?
False
Let o(q) = 26*q**3 + q**2 - q + 2. Let p be o(3). Let x(c) = -335*c + 4. Let n be x(1). Let f = n + p. Is f a composite number?
False
Let t(f) be the third derivative of f**7/120 - f**6/120 + f**4/12 + 5*f**3/6 + 4*f**2. Let p(b) be the first derivative of t(b). Is p(2) a composite number?
True
Let b = 2041 - -212. Suppose 5*o - 3*x = 5308, 3*x + b = 4*o - 1994. Is o a composite number?
False
Suppose 113*i + v = 116*i - 19316, 0 = 4*i - v - 25755. Is i composite?
True
Let l be (-2 - -1)*(-20 + 0). Let v be -5 - (-2 - 2) - -104. Let k = l + v. Is k composite?
True
Let d(g) = -g**3 - 7*g**2 + 23*g + 4. Is d(-17) composite?
False
Let n = 15589 - 7050. Is n a prime number?
True
Let n(q) = -2096*q**3 - 3*q**2 - 7*q - 9. Is n(-3) prime?
False
Let f be (-5)/(-2 - (-181)/91). Let q be (2 + 1 + -3)/2. Suppose q = -z + 6*z - f. Is z a composite number?
True
Let j = 70 - -43. Let x = j - 14. Let d = -50 + x. Is d composite?
True
Suppose 19 - 5 = 2*b. Suppose b*o + 40 = 2*o. Is (-4)/(o/530) - 0 a prime number?
False
Let d = -1248 - -101. Let l = 2264 + d. Is l a prime number?
True
Is (-15394)/1*(-51)/102 prime?
False
Suppose -r + z - 9831 = -5*r, 0 = 4*r - 3*z - 9851. Is r composite?
False
Suppose d + 12 = 5*d - q, 16 = -d + 5*q. Suppose -5*h + 16763 = c, 7*c = d*c - 6. Is h a composite number?
True
Suppose -182581 = -131*q + 124*q. Is q composite?
False
Let d be (10/(-4))/((-11)/22). Suppose -3*r + 47444 = r - 4*k, -23716 = -2*r + d*k. Is r/15 - 4/(-30) a prime number?
False
Suppose -30 = 4*f + 2*d, -d + 38 = -5*f - 4*d. Let m be 328/(-4 - (f - -2)). Suppose 2*c - m = 486. Is c a prime number?
False
Let n = -300 - -108. Let z = n - -56. Let b = z + 205. Is b a composite number?
True
Let r(u) be the third derivative of u**9/60480 + u**8/3360 - u**7/630 - u**6/360 - u**5/60 + 3*u**2. Let c(n) be the third derivative of r(n). Is c(-6) prime?
False
Suppose i - 5*x = -1294, x = 4*i + 6*x + 5251. Let u = -882 - i. Is u a composite number?
True
Suppose 231*x + 1225475 = 256*x. Is x a composite number?
False
Let q(x) = x**2 + x + 1. Let f be q(-10). Suppose 3*m + m + f = 3*l, 4*m - 140 = -4*l. Let t = 52 - l. Is t a composite number?
False
Let n = -31 + 24. Let u(x) = -x**3 - 4*x**2 + 6*x + 8. Is u(n) a composite number?
False
Let s = 1911 + -1004. Is s a prime number?
True
Is 1 + 12/(-14) - (-347832)/84 prime?
False
Let c = 98 + 28. Suppose -55 = -2*d - 0*d + 5*b, 5*d - b = c. Let v = d - 14. Is v composite?
False
Let o = -166 + 289. Suppose 3*n + h - 111 = 0, 3*n = h + 2*h + o. Is n a prime number?
False
Let t = -97 + 732. Is t a prime number?
False
Suppose 0 = 6*q + 1117 - 5215. Is q a prime number?
True
Let p(s) be the third derivative of s**4/24 - 5*s**3/3 + 2*s**2. Let f be p(5). Let l = f - -15. Is l a prime number?
False
Suppose 5*s = 1323 - 38. Let m = 60 + s. Is m a composite number?
False
Let t = -49237 - -89696. Is t prime?
True
Let b(m) = 2*m**2 - 7*m - 5. Let g be b(7). Suppose f = 5*f - g. Is f a composite number?
False
Let g = -133 + 238. Let x(l) = -114*l + 1 - 11*l**2 + g*l + 0*l**3 - 2*l**3. Is x(-7) composite?
False
Suppose 0 = 347*v - 340*v - 9779. Is v a composite number?
True
Suppose 4*n - 7398 = -2*f, -778 - 2906 = -f - 5*n. Is f a composite number?
False
Suppose 10*h = 5*h + 63715. Is h prime?
True
Suppose -20*m + 6 = -18*m. Suppose 0 = 4*z + 4*u - 2*u - 5632, -z = -m*u - 1415. Is z a prime number?
True
Let u = 827 + -1263. Let k = -237 - u. Is k a composite number?
False
Is 103608/(-108)*(-3)/2 composite?
False
Let u(j) = 1475*j**2 + 4*j - 62. Is u(5) a composite number?
False
Let n(l) = 80*l + 14. Let i(o) = 159*o + 27. Let k(j) = 3*i(j) - 5*n(j). Is k(4) a composite number?
True
Let a(w) = -5*w**3 - 6*w**2 - 76. Is a(-9) a composite number?
False
Let d be (-44)/55 - (-28)/10. Let n = 13 + -9. Suppose z + 355 = 4*r + 86, d*z + 270 = n*r. Is r composite?
False
Let h = 513 + -1129. Is 4 - (h/2 + 1) a prime number?
True
Let s(i) = -29*i + 4. Let b be s(-2). Let u = b - 40. Is u composite?
True
Is (6418/(-8))/(7/(-3 - 305)) prime?
False
Let b = -2169 - -130. Suppose 2*k + 7020 = -3*k. Let j = k - b. Is j prime?
False
Let y be (16/(-10))/(8/(-5620)). Let v = -771 + y. Is v composite?
False
Suppose 5*v = 10*v - 925. Let c = v + 378. Is c composite?
False
Suppose 2 = -2*l + 42. Suppose 16*c - l*c = -1228. Is c composite?
False
Suppose -5*i + 9 = 2*d, -4*d = 3*i + i - 12. Suppose -d - 13 = -5*b. Suppose -3*z = -b*a - 678, 2*z + z = -3*a + 660. Is z a prime number?
True
Let b be (-4)/(12/3)*-5. Suppose -2*d + 23 + 12 = b*s, -5*d + 2*s = -15. Suppose 165 = 5*f + d*y, 4*y = 2*y - 8. Is f prime?
True
Let m(c) = 36*c + 12. Let w be m(6). Suppose 4*l + 4*p - w = 0, 0 = -p + 2*p + 2. Is l a prime number?
True
Is (-54548)/104*(-52)/2 prime?
False
Suppose 115*p = 117*p - 3454. Is p a prime number?
False
Let f = 7511 + -2676. Is f composite?
True
Let d(m) = -13*m**3 - 10*m**2 - 5*m - 5. Let b be 19*3/(-15) + (-3)/15. Is d(b) a composite number?
True
Suppose -3*l = -0*l. Suppose r - 3*r + 2*i + 940 = l, i = 2*r - 945. Suppose -3*v + h + r = 0, 2*v = -2*v - h + 631. Is v a composite number?
True
Let t = -13 - 2. Let m(p) = -2*p**3 - 15*p**2 + p + 5. Is m(t) prime?
False
Let s = -12373 + 21960. Is s a composite number?
False
Is ((-2)/(-3))/((-18)/(-216945)) a prime number?
False
Let k(g) = 4*g**3 - 19*g**2 + 19*g + 17. Let s be k(16). Suppose 0 = t - 4*u + 3932, -6*t - s = -3*t + 3*u. Is t/(-120) - 4/(-30) prime?
False
Let b be (-4)/(-10) + 0 - (-6384)/240. Is ((-18)/b)/((-4)/10542) a composite number?
True
Suppose a - 639 = -4*x + 620, -1244 = -a - x. Let c = a + -370. Is c prime?
False
Suppose -5*t = 5*g - 15, 0 - 8 = -3*g - 2*t. Suppose 4*x = -5*z + 2049, 6*z - g*z - 3*x - 1633 = 0. Is z a composite number?
False
Let b(q) = -q**2 - q + 17. Let r be b(6). Let m(g) = g**3 + 26*g**2 + 5*g - 19. Is m(r) composite?
True
Suppose 4*c + 4*a = 0, 0*a + 10 = -2*a. Let q(s) = -19*s + 12. Let j be q(-9). Suppose -3*d = -d + h - j, d = c*h + 64. Is d a prime number?
True
Let j = 31 + -27. Suppose 6*y - 4*h = j*y + 546, -5*y + 1329 = -h. Is y a prime number?
False
Suppose 0 = -5*o + 1 + 74. Let g = -10 - o. Is 5/g + 1676/5 prime?
False
Suppose -87 = -4*c - 1695. Let w = c - -593. Is w a composite number?
False
Suppose -10*b - 10096 = -32766. Is b prime?
True
Suppose 90*q = 83*q + 38591. Is q a prime number?
False
Let s = 4 - 6. Let h be (-82)/s*2 + 1. Suppose -h = -4*m + 3*m. Is m a prime number?
True
Let v(s) = 3*s**3 - 2*s**2 + s. Let j be v(1). Suppose 0 = j*t + 12 - 22. Suppose -t*c = 4*x - 844 + 41, 0 = 2*c - x - 316. Is c a composite number?
True
Let g(x) = 5*x**3 - 37*x**2 + x + 19. Is g(18) a composite number?
False
Let h = 21322 + -12209. Is h prime?
False
Let y = 2308 - 1625. Is y a prime number?
True
Let z(d) = -7*d + 5. Let v = 16 - 13. Suppose 0 = -v*j + 4*o - 7*o - 18, 9 = j - 4*