e
Let c = 10757 + -5081. Suppose 5662 = -4*m - 5*o, c = -4*m - o + 3*o. Let l = 1085 - m. Is l prime?
True
Suppose 7*v = 7, -10*v + 22652 = 2*f - 12*v. Is f a prime number?
False
Let k = 1033450 - 446349. Is k composite?
False
Let t = -135095 - -205436. Is t a composite number?
True
Let o(q) = 138*q**2 - 7*q - 4. Let u(n) = n**2 + 18*n + 3. Let p(d) = -2*d**2 - 35*d - 6. Let m(v) = 4*p(v) + 7*u(v). Let f be m(-14). Is o(f) composite?
False
Suppose -2*q - 13 = 35. Let w be -1 + (-28)/q - (-1)/(-6). Suppose -7*p + 102 + 80 = w. Is p prime?
False
Suppose -16*c - 220*c + 4212836 = 0. Is c a prime number?
True
Let g(a) = -12*a**3 + 5*a**2 - 10*a - 18. Suppose 9*p = 8*p - 3*v - 5, 5*p - 3*v = -25. Is g(p) composite?
False
Is 1043370 - ((-5)/(-3 + -2))/1 a prime number?
True
Is 200436/5 + ((-494)/95)/26 composite?
False
Let v(l) = 1380*l + 1553. Is v(37) a composite number?
True
Let s = 9 + 36. Let k = 36 - s. Let w(c) = -c**3 - 9*c**2 - 10*c + 7. Is w(k) composite?
False
Let d(l) = 15*l + 111*l + 184*l + 31*l. Let y be d(5). Let s = y + -462. Is s a prime number?
False
Let y = -8 - -15. Suppose -3*j + 5*l - y = 14, 5*j + 25 = 5*l. Is -1*(451 - j)*(-10)/6 a composite number?
True
Let b be ((-40972)/(-10))/(5/25). Suppose 44 + b = 10*h. Is h prime?
True
Is 19/(76/24)*(-242241)/(-6) a prime number?
False
Let c = -44 + 50. Suppose -c = -2*g, -b - 2*g - 3079 = -6*b. Let h = b + -240. Is h a composite number?
True
Let r(m) = 8*m**2 - 41*m + 333. Is r(-28) prime?
True
Suppose -1448*f - 5*x = -1452*f + 62002, -77441 = -5*f - 4*x. Is f composite?
False
Suppose -4*i - f = -2464397, 4*f + 1232158 = 520*i - 518*i. Is i composite?
True
Let y = 3081 - -637. Let j be (-14574)/9 + (-2)/(-6). Let l = y + j. Is l composite?
False
Suppose 5*w = 12*w + 8*w. Suppose 7*i - 5*j + 12980 = 12*i, w = 4*i + 3*j - 10379. Is i composite?
False
Let r(h) = 6*h**2 - 4*h + 1. Let t(y) = -7*y**2 + 4*y - 2. Let a(m) = -6*r(m) - 5*t(m). Let s be a(5). Let u(b) = -851*b - 2. Is u(s) prime?
False
Suppose 22231486 = -28*b + 69186674. Is b prime?
True
Suppose 74 + 19 = 3*m. Let n = m - 11. Suppose 2*x = -0*r - 4*r + 2322, 0 = 4*r - n. Is x a composite number?
False
Let x(u) = 100*u**2 - 56*u + 1. Is x(15) a composite number?
False
Let g = -20 - -21. Is g + 1 + 1 - (-743 - 5) composite?
False
Let p be (-3)/9 + (-3536)/(-6). Suppose 2365 = -5*o + o - 3*u, -3*u = o + p. Let j = o - -1071. Is j composite?
False
Let q(g) = g - 10. Let w be 15*(230/225 + 4/(-18)). Let b be q(w). Suppose -3636 = -4*n - b*k - 0*k, -4*k = -3*n + 2705. Is n composite?
False
Let f(y) = 9*y + 4 + 0 + 9*y - 8*y**2 + 4*y**2. Let n be f(6). Let r = n - -99. Is r composite?
False
Let i(b) be the first derivative of 3*b**2 - 2*b + 6. Let m be i(1). Let r(h) = 68*h + 15. Is r(m) a composite number?
True
Let v be (150 - (-16)/(-8)) + 12/2. Suppose -r + v = -1968. Is r a composite number?
True
Let k = 112 - 31. Suppose -k*n = -82*n + 1561. Is n composite?
True
Let u = -7479 - -15086. Is u a prime number?
True
Let z = -38359 + 284582. Is z a composite number?
False
Let n be ((-12)/(-14))/(5/35). Suppose -n*g + 7*g = 2. Suppose 59 = c - z, 3*c = 6*c - g*z - 173. Is c composite?
True
Let i be 1/(-3) + (-19)/(-3). Let w = 41 - -2590. Suppose 3*n - i = 0, a + 3*n = 4*a - w. Is a a prime number?
False
Let o(s) = 40*s - 2 + 7*s**3 + 51*s**3 - 32*s - 5*s**2. Is o(3) composite?
False
Suppose -2*x + 3*p + 23 = -0*p, 4*p = -2*x - 12. Suppose a + x = 2*y, -y = 2*a + a + 12. Let v(m) = m + 457. Is v(y) a composite number?
False
Suppose p + 18 = 2*u, 3*p - 4*p = -u + 11. Suppose -t - u*t + 144 = 0. Is ((-345)/20)/(t/(-48)) a prime number?
False
Is (-5 - (-342)/54)/(4/1114827) composite?
True
Suppose 9*a - 98 = -35. Let d be 4 - (a + -3)/(-4). Suppose 181 = o + 5*p, 6*p - 2*p + 789 = d*o. Is o a prime number?
False
Let g(i) = -i**3 - 5*i**2 + 28*i - 22. Let r be g(-20). Let p be (-10)/(-1)*673/2. Let k = r - p. Is k a prime number?
True
Let v(c) = -609*c - 5578. Is v(-15) composite?
False
Is 3 + 1 + -331*(-12 - 27) composite?
True
Is 6297000/312 + (-32)/(-104) prime?
True
Let y(u) = 2*u**3 - 87*u**2 + 39*u + 172. Let s be y(43). Let p(l) = -l + 14. Let z be p(6). Suppose 4*h + z = s, -2629 - 6156 = -5*w - 5*h. Is w prime?
True
Let p(k) be the second derivative of k**4/4 + 3*k**3/2 + 77*k**2/2 - 16*k. Let r(f) = 2*f**2 - 13*f - 3. Let j be r(4). Is p(j) prime?
False
Suppose -u + 5*k = -5918 - 2687, -17205 = -2*u + 5*k. Let v = u + -5011. Is v prime?
False
Suppose 0 = 2*i - a + 1676 - 8685, 0 = 5*i - 5*a - 17520. Is i composite?
True
Let k = 291822 - 203319. Is k prime?
False
Let c(i) = -815*i**3 + i**2 + i. Let f be ((-9)/6)/((-3)/6). Suppose v - 4 = 3*r - 1, f*r = 4*v - 3. Is c(r) a composite number?
True
Suppose -595641 + 222948 = -15*s + 1520472. Is s a prime number?
True
Let u(w) = 21*w + 5. Suppose 5 + 12 = s + 5*y, -6 = -2*s + 4*y. Suppose 30 = s*b - 12. Is u(b) composite?
False
Let l = -11362 - -54129. Is l a composite number?
False
Let p(h) = h**2 + 19*h + 73. Let w be p(-14). Let o be (1 + -650)*7/(-1). Suppose w*j + o = 14*j. Is j a prime number?
False
Suppose 0 = -7*n + 170883 - 23841. Suppose 8*g + n = 2*k + 12*g, k - 4*g = 10527. Is k a composite number?
True
Let d = 24 - -921. Suppose -3*r = 9, r + 1609 + d = a. Is a a prime number?
True
Is ((-1)/3)/((30 + -14)/(-1262832)) prime?
True
Let j(f) be the third derivative of 19*f**5/6 - 19*f**4/24 + 6*f**3 - 3*f**2 - 2. Is j(5) composite?
False
Suppose -79*s + 852454 = -148*s + 10498999. Is s a prime number?
False
Let f = 61665 - 25978. Is f a composite number?
True
Let f be -46139*(-3)/30 - (-2)/20. Suppose 4617 = j + k, -4*k = -0*j + j - f. Is j composite?
True
Is (14/63 - 3518/(-18))*(-103617)/(-87) prime?
False
Let p(u) = 279*u - 53. Let d(m) = -m**3 + 9*m**2 + 9*m + 18. Let s be d(10). Is p(s) a composite number?
False
Suppose -6*f = -4*f + 5*k - 1596, -3944 = -5*f - k. Let g = 4479 - f. Is g a composite number?
False
Let u be -4*((-418565)/(-28))/(-5). Suppose 2*f = p - u, -p + 48*f - 51*f + 11954 = 0. Is p a prime number?
False
Suppose 2*l + 27 = 37. Suppose 2*o - 28883 = -2*o + 3*i, 0 = -3*o - l*i + 21626. Is o prime?
False
Let f = 60 + -55. Suppose -5 = f*o - 25. Suppose o*t + 91 = 3903. Is t prime?
True
Let a = -595527 - -844838. Is a a prime number?
True
Let a = -6125 + 366. Let d = -2542 - a. Is d a prime number?
True
Let g = -160 - -165. Suppose 3*a = 4*c + 27079, -a + g*a = 2*c + 36112. Is a composite?
False
Let n be (4/(-3))/(-5 - (-223)/45). Suppose -4*m + n = m. Is (395/(-10) + m)*(-1 - 33) a prime number?
False
Suppose -5*q = -3*q - 94. Suppose -18 - q = -5*t. Is (t/((-234)/1740))/(4/(-6)) a composite number?
True
Let b(h) = -1075*h - 22. Let l be b(-13). Suppose 2*g = z - 6891, -l = -5*z + 2*g + 20470. Is z a prime number?
True
Let g = 2538135 + -1474818. Is g a composite number?
True
Let m = 157 - 227. Let k = m + 68. Is (-646)/(1 - 3)*k/(-2) a composite number?
True
Let o(a) = 4*a**2 + 5*a + 8. Suppose -107 = 2*t + 43. Let j = 66 + t. Is o(j) composite?
True
Let b(z) = 54*z**2 + 42*z - 50. Let g be b(25). Suppose -5*k + 3*d = -g, 5*k - 4*d - 46269 = -11524. Is k prime?
False
Suppose 2*t - 5*t - 3 = 0. Let n be 0 + (1 - (t - 1)). Let z(a) = 18*a**3 - 6*a**2 + 7*a - 6. Is z(n) a prime number?
False
Let q = 2728845 + -1777082. Is q a prime number?
False
Let k(q) = -2*q**2 - 12*q + 18. Let n be k(-6). Suppose -10542 = -n*f + 12*f. Is f a prime number?
False
Let v(n) = n**3 + 7*n**2 + 2*n + 19. Let g be v(-7). Suppose 0 = -g*b - o + 10506, o - 608 = -3*b + 5696. Is b a composite number?
True
Suppose u = -p + 8, -1 = -u - 3*p - 3. Suppose 2*t - n + u = 0, 0 = -5*t + 6*n - 10*n. Is 3478/(44/16 - (-3)/t) prime?
False
Let g = -13828 - -5980. Let x = 13949 + g. Is x prime?
True
Suppose -2*p + 106554 = -4*a, 130782 = -5*p + 2*a + 397127. Is p prime?
True
Let o(h) = -14 - 2*h + 2*h + 6*h - 17. Let n be o(6). Suppose n*s = 334 + 36. Is s a prime number?
False
Let a be (-27)/4 + (-2)/8. Let n(y) = 2*y**3 + 2*y**2 + y + 1. Let i(j) = -14*j**3 - 20*j**2 + 2*j + 7. Let s(l) = i(l) + 6*n(l). Is s(a) a prime number?
True
Suppose 4*w - 43 = 5*n - 14, -n = -2*w + 7. Is 1578/4*(n - 148/(-12)) a composite number?
True
Let r = 4504 + -4677. Let h be (-4)/(-1)*(-9)/(-6). Let q = h