e
Let m(t) be the second derivative of -34*t**5/5 + t**4/12 + t**3/3 - t**2/2 - 19*t. Is m(-2) composite?
False
Let k(p) = p + 10. Let s be k(-7). Let i(a) = 7*a**2 + 39 + a - 3*a - 37. Is i(s) a prime number?
True
Suppose 5*p = 5*m - 12150, -4*m = 3*p - 5944 - 3755. Is m composite?
True
Suppose 0*x + 2*f - 68 = 2*x, 2*f = 4*x + 134. Is (5863/x)/(1/(-3)) a prime number?
False
Let f = 8 - 5. Let b be 1 - (2 - (f + -3)). Is (-1)/(b + 2) - -20 composite?
False
Let p be (-3)/(-12) - 7/(-4). Suppose 5 = p*j - 1. Is 293 + 4/(-5 + j) a prime number?
False
Let z(r) = -r**3 + 5*r**2 + 3*r + 1. Let b be z(7). Let g = -21 - -23. Is (g/4)/((-2)/b) a prime number?
True
Let f(w) = -w - 386. Let l be f(0). Let y = 883 + l. Is y composite?
True
Suppose 2*y = 2*q + 14, -20 = -0*y - 5*y. Let h = q - -6. Suppose -h*n + 5*a + 1695 = -0*n, 3*n - 1695 = -2*a. Is n prime?
False
Suppose -2*l + 20 - 4 = 0. Suppose 2*p + l + 6 = -2*i, -5 = 5*i - 5*p. Is i/(-8)*29*4 a composite number?
True
Let v be ((-909)/(-4))/(7/28). Suppose 3*b - v = -0*b. Let k = b + -46. Is k composite?
False
Suppose 0 = 4*w - 2*l - 28164, -3877 + 25000 = 3*w - l. Is w a prime number?
False
Let l be -12*(13/(-4) + 3). Suppose 0 = l*j + 119 - 395. Suppose -n = -5*d + 113, j + 25 = 5*d + n. Is d a composite number?
False
Let m(t) = -40*t + 4. Let d(o) be the second derivative of 13*o**3/6 - o**2/2 - 6*o. Let j(f) = 17*d(f) + 6*m(f). Is j(-6) prime?
False
Let d(k) = 5*k**2 - 66*k + 33. Is d(-20) a composite number?
True
Let w(v) = v**3 + 3*v**2 + v - 2. Let h be w(4). Suppose h - 305 = -n. Is n prime?
True
Suppose 2*n - 6753 = -3*y, -2*y + 2*n - 3*n = -4502. Is y composite?
False
Suppose f + 3*f - m = 4, -3*f - 4*m + 22 = 0. Suppose -f*i + i + 51 = 5*k, -k = -4*i + 267. Suppose -3*v + i = -603. Is v composite?
False
Suppose -b - 2 = 0, 2*l + 4*b - 17256 = -b. Is l prime?
False
Suppose 5*b - 2 = -0*k - 2*k, 4*b + 4 = 4*k. Suppose -m - 5*z = 22, 10 = -2*m - 3*z + 1. Suppose 4*p - 668 = 4*a, 3*p - 4*p + m*a + 167 = b. Is p composite?
False
Suppose 18*a - j + 29031 = 23*a, -3*a + 17433 = -3*j. Is a prime?
True
Let w be 303 + 6/(1 - -2). Let r(o) = -8*o - 24. Let z be r(6). Let q = z + w. Is q a composite number?
False
Is (-1484)/42*(113/(-2) + 1) a prime number?
False
Suppose -q = -2*c + 5, 0 = c + 6*q - q + 3. Let l be (c/(-6))/(3/18). Is (4 + (-199)/2)*l a prime number?
True
Is ((-16)/(-12) - 1) + 255138/9 prime?
True
Is 9 - (-33080)/30*3 prime?
False
Let t(w) = -w**2 + 6*w + 16. Let i be t(7). Let n(o) = 12*o**3 - 7*o**2 - 20*o - 8. Is n(i) composite?
False
Let o(j) = -91*j + 34. Is o(-12) prime?
False
Suppose 9*m - 7565 = 3712. Is m a composite number?
True
Suppose -2*n + 4 = 0, 5*k - 49363 = 18*n - 22*n. Is k composite?
False
Suppose -15*y + 1824 = -12*y. Is y/3 - 3/(-9) composite?
True
Suppose -4*q - 6*q + 30 = 0. Suppose 4*j + 5*k = 12629, -q*k = -5*j - 0*k + 15814. Is j prime?
False
Suppose 4*v - 6*v + 92 = 0. Suppose 0 = s - 17 - v. Let w = 244 + s. Is w a composite number?
False
Suppose -694409 + 3106934 = 75*k. Is k prime?
False
Suppose -15*v + 10349 = -59596. Is v a prime number?
True
Let s be (-983836)/(-533) + (15/13 - 1). Let a = s + 2437. Is a a prime number?
True
Suppose -13*j = -3*j + 270. Let z(u) = -u**3 - 24*u**2 - u - 55. Is z(j) a prime number?
False
Suppose 0 = -6*u - 3533 - 4927. Let k = 3584 + u. Is k a composite number?
True
Is (-8)/(-36) - 899248/(-144) a composite number?
True
Let m(a) = 22*a**3 - 5*a**2 - 15*a + 69. Is m(10) prime?
True
Let s = -16527 - -24929. Is s a composite number?
True
Suppose -2*v = -13*u + 9*u - 8678, 2*v - 8666 = u. Is v a prime number?
False
Let v(j) = -3*j**2 + 0*j + 0*j - 3 - 8*j**3 + 3*j. Is v(-4) prime?
True
Suppose 104*i = 105*i + x - 859, -4*i + 3436 = -5*x. Is i a prime number?
True
Suppose 0 = -5*f + 3 + 7, -5*f = 3*k - 34411. Is k composite?
False
Let g(u) be the third derivative of u**5/30 + 17*u**4/24 + u**3/3 + 5*u**2. Let f be g(-12). Suppose -i + 8 = i, -3*a - 5*i = -f. Is a a composite number?
True
Suppose -2*s = -8 - 4. Suppose 3 = -2*q + s*u - u, -u = q + 12. Let i = 71 + q. Is i a prime number?
False
Suppose 1299 + 2409 = 3*x + 5*v, -3*v - 6214 = -5*x. Is x prime?
False
Suppose 10*c = 12909 + 5911. Is c a composite number?
True
Suppose -4*a - k = -33, 3*a + 3*k = 5*a - 27. Let n(o) = -o + 6. Let z be n(a). Is (z/2 - -1)*-1358 composite?
True
Suppose 0 = -3*m + 2*l + 5233, -3*m + 5243 = 11*l - 15*l. Is m a prime number?
True
Let p be 12/(-2)*1/8*-4. Suppose 7*f - 5707 = -p*x + 6*f, 2*f - 8 = 0. Is x a prime number?
True
Is (-54498)/(-10) + (-244)/305 a prime number?
True
Let f(d) = -d**3 - d**2 + 3*d - 1. Let h(w) = -w**2 + 2*w - 5. Let n be h(0). Let t be f(n). Let v = t - 5. Is v prime?
True
Let j = 3284 - 1773. Is j a prime number?
True
Suppose 31*c = 28*c - 11475. Let n = c - -5386. Is n prime?
False
Let g = -25 - -23. Let l = 17 - g. Is l prime?
True
Suppose 0 = 93*k - 89*k - 27748. Is k a prime number?
False
Let w(l) = 4*l + 29. Let v be ((-4)/(-10))/((-9)/(-270)). Let b be w(v). Is 2*3*b/21 composite?
True
Suppose -h = 4*h - 25. Suppose -4*w + 8 = 0, 1 + 1 = o - h*w. Is ((-3)/o)/((-1)/316) composite?
False
Let a(h) = -2*h**2 + 17*h - 15. Let c be a(7). Is 4/c - (-1754)/(-6)*-1 a prime number?
True
Suppose -17*q = -2894 - 8921. Is q composite?
True
Is 12*4/36 - 38746/(-6) a composite number?
True
Let a = -192 + 495. Suppose u = 8 + 32. Let j = a - u. Is j a prime number?
True
Let t(m) = m**2 + 4*m - 2. Let s be t(-13). Suppose -s = 4*h + 2*b + 495, 0 = 4*b + 4. Is (h/20)/(2/(-5)) a prime number?
True
Let y(q) = q - 11. Let u be 9/(-6)*(0 - 8). Let d be y(u). Is d*2/((-6)/(-921)) a prime number?
True
Is (1/(-3))/((-14)/281442) a prime number?
True
Let y(z) be the third derivative of 19*z**4/24 - z**3 - 2*z**2. Let t be y(-12). Let g = 331 + t. Is g a prime number?
True
Suppose -2*z - z + 12 = -3*r, -5*z + 5 = -2*r. Let c = r - -7. Suppose -7*x - 722 = -3*d - c*x, d - x = 240. Is d a composite number?
False
Let k(y) = -y**3 - 2*y**2 - 3*y - 3. Suppose 7*r - 2*r = -10. Let m be k(r). Suppose 0 = -m*i, 2*i - 3*i = -2*v + 14. Is v composite?
False
Let m(w) = 9*w**2 + w - 1. Let y be m(1). Let n = y + -15. Is (-44)/n*180/24 prime?
False
Is (-560)/(-1) + (-57)/19 prime?
True
Let p be 0*3/12*-2. Let g(t) = 2*t**3 - 2*t**2 + 2*t + 1163. Is g(p) a composite number?
False
Let q = 49 + 85. Let t be 118*(-17)/(-12) - (-3)/(-18). Let w = t + q. Is w a prime number?
False
Let f(k) = k**2 - 6. Let h be f(-3). Is -1 + 35 - h/1 prime?
True
Let o be (3 + 1)*(-1545)/(-4). Let c be 2/7 + o/7. Suppose r - c = -0*r. Is r composite?
True
Suppose -3*v + 3 = -3*n, 5*n - 3*v = v. Suppose 0 = -30*g + 31*g. Suppose g*s + n*s = 148. Is s a prime number?
True
Suppose 0*a + a - 19 = 0. Let f be 3 + (a - 1)/2. Suppose m - f = -2*m. Is m composite?
True
Suppose 2*g = 4 + 8. Suppose 5*n - 41 = -5*k + 3*n, -2*n - 40 = -4*k. Is k*29*2/g a prime number?
False
Let h(r) = 249*r - 8. Is h(7) a prime number?
False
Let j = 37091 - 23568. Is j a composite number?
False
Let t(i) = -9*i + 4. Let z(f) = -8*f + 3. Let o(a) = -4*t(a) + 5*z(a). Let k(v) = v - 5. Let r be k(0). Is o(r) a prime number?
True
Let v = -681 - -1180. Is v prime?
True
Suppose -4*a = -0*a - 2*m - 450, -4*a - 2*m = -438. Let u = -25 + a. Let x = u + 105. Is x a composite number?
False
Let o(j) = 263*j - 378. Is o(37) composite?
True
Suppose 17*g - 12488 = 9*g. Is g prime?
False
Let l be (5/(-2) + 2)*-6. Suppose -4*a = 4*v + 120, -l*v = 2*v - 2*a + 122. Let k = 11 - v. Is k a prime number?
True
Let v(k) = k**3 - 5*k**2 - 8*k - 1. Let d be v(9). Suppose 4*f - 12145 = 4*u + d, 4*f - 2*u = 12388. Is f composite?
True
Suppose 9049 = 5*c - 3*t, 3 = 3*t - 3. Is c prime?
True
Suppose 5*u - 5 = -2*y, -3*u - 9 - 9 = -3*y. Let r be (u - -7) + -2 + 2109. Suppose 3*a = -p + r, 4*p = 5*a - a - 2796. Is a prime?
False
Suppose 0 = -3*x - 3*r + 4*r + 5542, 0 = 3*x - 2*r - 5543. Is x a composite number?
False
Let t = 31 + -13. Suppose t*b - 20*b = 0. Suppose -4*c - 5*z + 629 = b, -5*c + 715 + 87 = z. Is c a prime number?
False
Let l = -16536 - -49067. Is l prime?
True
Suppose -1 = 2*c + 5*k, c + 3*k = 2 - 3. Let u(q) = 5*q**2 - 21*q - 3. Let v(s) = 3*s**2 - 10*s - 1. Let h(g) = -6*u(g) + 13*v(g). Is h(c) a prime n