s + 11 - 145. Is s prime?
True
Is 3/2*-2 - -302 composite?
True
Let p = 943 - 564. Is p prime?
True
Suppose -2*r = -3078 + 572. Is r prime?
False
Let l(a) = a + 8. Let n be l(-6). Suppose -3*g + 11 = -n*g. Is g a prime number?
True
Let b = -6 + 4. Let x be (9/b)/3*-2. Suppose -x*f + 148 = f. Is f prime?
True
Suppose 0 = 5*f + 5*a - 20, -2*f - 3*a - a = -6. Let i(k) = 5*k + 6. Is i(f) composite?
False
Suppose -5*r - 5*s + 5 = -5, -10 = -5*s. Suppose -2*x + 4 + 6 = p, -5*p - 3*x + 22 = r. Is p a composite number?
False
Suppose -2 - 14 = 2*q + 4*k, -5*k = -4*q + 33. Suppose 0 = 3*g + q*c - 3, 2*g + 0*g - 5*c = 21. Is 1/g + 1014/9 prime?
True
Let j(p) = p**2 - 16*p + 18. Let v be j(15). Suppose v*x - 1885 = -2*x. Is x prime?
False
Suppose -2*d - 3*d = 5*t - 95, -3*d - 5*t + 65 = 0. Suppose -x = 4*x - d. Suppose 85 + 8 = x*l. Is l a prime number?
True
Let g(h) = 6*h + 2. Is g(6) a composite number?
True
Suppose -z + 478 = -3*z. Let w = z + 393. Suppose -3*t + 47 = -w. Is t prime?
True
Let a = 165 + 314. Is a composite?
False
Let w = 946 + -215. Is w composite?
True
Let z(j) = 56*j**2 + 4*j + 3. Is z(-2) a composite number?
True
Is (243/18 - 2)/((-2)/(-284)) a composite number?
True
Let i be 0*3/(-9) - -11. Let x = 11 - i. Suppose x*j + 105 = 3*j. Is j a composite number?
True
Let l(y) = -7*y. Let d be l(2). Let w = 45 + d. Is w composite?
False
Suppose 3*m - 8620 = -5*r, 1732 = r - 4*m + 3*m. Is r a composite number?
True
Let l be (-4)/3*3/(-2). Is l/(2 - (-72)/(-39)) a composite number?
False
Let a(n) = -n**3 - n**2 + n - 2. Suppose 0 = -2*m + 5*m. Let l be a(m). Is 88/l*9/(-12) composite?
True
Let h = 17 - 3. Is h a prime number?
False
Suppose i = -3*i + 204. Is i composite?
True
Is -7*(2 - -27)*(-6 - -5) a composite number?
True
Let x(g) = -35*g - 3. Is x(-2) a composite number?
False
Suppose w + 0 = 3*o + 4, 4*w - 46 = -3*o. Suppose 3*y - 1 = -r - 3, y = 2*r - w. Let s(l) = 3*l - 5. Is s(r) a prime number?
True
Let k(s) = -s**2 - 5*s + 5. Let x be k(-5). Suppose -x*l + 211 - 776 = -5*b, -2*b + 212 = 5*l. Is b a composite number?
True
Suppose -w + 2 = -5*a - 1, 6 = 4*a + 2*w. Suppose 170 = 5*j - a. Let q = -15 + j. Is q composite?
False
Let f(w) = w**3 - 4*w**2 + 4*w + 1. Let d be f(3). Suppose -d*s = -230 - 66. Is s prime?
False
Let i(u) = 191*u + 17. Is i(16) a prime number?
False
Suppose -s - 130 = -384. Is s a prime number?
False
Suppose 0*v - 2*v + 4*d = -4378, v - 2164 = -3*d. Is v a composite number?
False
Is (8838/14 - 0) + (-4)/14 prime?
True
Suppose 0 = 2*a - 27 - 47. Is a a prime number?
True
Let h be (-8)/(-2) + 5 + -7. Suppose -3*s - 83 = -h*b, -5*b - 2*s + 85 = -170. Is b a composite number?
True
Let q = 78 - -1. Is q prime?
True
Let q be (-680)/12*(-9)/2. Suppose -333 = -3*z + q. Suppose 2*j = -2*j + z. Is j a composite number?
True
Suppose 5*t + 1 + 4 = 0. Let p = t + 3. Is p a composite number?
False
Let k = -4 + 10. Let s(q) = -q**3 + 10*q**2 - 9*q + 1. Is s(k) a composite number?
True
Let u = -1 + 4. Suppose 2*a + w = -2*w + u, -6 = -2*w. Is 7/(2*a/(-78)) a composite number?
True
Let f(z) = 5*z**3 - 4*z**2 + 2*z + 1. Is f(4) a prime number?
False
Let m be 0 + 4 + -2*1. Let k = 91 - m. Is k a prime number?
True
Let n be (4/(-1))/(-2) - -1. Suppose 2*h = -n*h + 50. Is h a prime number?
False
Let k = 165 - 116. Is k a prime number?
False
Suppose -5*s + 4*z + 4314 = 967, 0 = 2*s + z - 1331. Is s composite?
True
Suppose 0 = -3*z + 52 + 329. Is z a composite number?
False
Let n(o) = 1291*o - 11. Is n(4) prime?
True
Suppose o = -0*o. Suppose o*w - 12 = -3*w. Is (w/6)/(4/186) a composite number?
False
Let q(j) = -556*j + 8. Let b(a) = a - 1. Let w(f) = 24*b(f) + 3*q(f). Let g be w(-1). Suppose 0 = 4*z - 128 - g. Is z prime?
True
Is ((-2)/5 + 1)*25 composite?
True
Suppose 0*t - 4 = -t. Suppose 0 = 5*o + 2*u - 287, -5*o - t*u + 43 = -4*o. Is o composite?
False
Let q = -5 + 10. Suppose 3*t - 3 + 0 = -3*d, 0 = -3*d - q*t - 7. Is 207/d + (-2)/(-4) a composite number?
True
Let w = 7 - -15. Is w prime?
False
Let j(v) = -5*v**3 - 2*v**2 - 2*v - 1. Let m be j(-1). Let d(r) = 3*r - 6. Let s be d(m). Is (-2 - 877)*(-2)/s prime?
True
Let x be (4 - 4) + 129/1. Let t = 122 + x. Is t a composite number?
False
Suppose -2*q = -7*q - 290. Let a be (44/(-10))/((-8)/20). Let j = a - q. Is j a composite number?
True
Suppose 12*u - 7*u - 425 = 0. Is u prime?
False
Let j(z) be the third derivative of z**5/60 + z**4/4 + 5*z**3/6 + 3*z**2. Let o be j(-5). Suppose o = -5*n + 105 + 60. Is n a prime number?
False
Suppose 6*h - h = 25. Suppose 0 = -h*m + 357 - 1552. Let p = -162 - m. Is p a prime number?
False
Suppose 0*g = -3*d - 5*g + 8176, d + 3*g = 2728. Is d a composite number?
True
Suppose -2*l - 169 = -3*y, 2*l + 8 = -2*l. Is y composite?
True
Suppose -281 + 65 = 4*q. Let o be (-3)/15 - 22/(-10). Is o/4*-2 - q prime?
True
Let b = 14 + -3. Let w = b - 7. Suppose -2*k = -w, -2*h + k + 134 = 2*h. Is h a prime number?
False
Let j be (-3)/((-6)/280) + -3. Suppose -4*n = -m - 0*m - 503, -j = -n - 2*m. Is n prime?
True
Suppose 0 = 3*y - 3*f, 3*y + 6 = 4*f + f. Let w(n) = n - 1. Let h be w(y). Suppose 5*r = -h*z + 179, -2*r + r = -3*z - 46. Is r prime?
True
Let b(o) = o**2 + 8*o + 5. Let c be b(-8). Suppose -27 = -c*m + 33. Suppose m = -2*r + 114. Is r composite?
True
Suppose 3*m + 89 = -2*s + 1228, 2*s = 2*m - 766. Is m prime?
False
Let n be 0 - (2 + -5 + -1). Let d be 1/n - (-2796)/16. Suppose 0 = -9*c + 4*c + d. Is c a prime number?
False
Suppose -i - 3*i + 156 = 0. Suppose 2*d - 25 = 3. Let b = d + i. Is b a composite number?
False
Let k be (-1)/(2 - 0)*-4. Suppose 0 = 3*g + z - 51 - 526, g + 5*z = 169. Suppose k*i + 4*p = -4 + 138, -p - g = -3*i. Is i prime?
False
Let l(r) = -293*r - 12. Let p be l(-6). Suppose -3*t + p = 3*t. Is t composite?
True
Suppose 4*l + o = -3*o, 2*o = -l. Suppose l*y - 2*y = 442. Let b = y + 408. Is b composite?
True
Let z(a) = -a**3 - 5*a**2 - 2*a - 5. Let c be z(-5). Suppose m = 4*f - 369, -c*m - 37 - 443 = -5*f. Is f composite?
True
Suppose -2*z + 970 = 3*z. Suppose -5*o - 5*i + z + 6 = 0, -2*o + 62 = -4*i. Is o prime?
True
Let q = -6 - -6. Let f(y) = y**2 + 7. Is f(q) prime?
True
Let u(i) = -48*i**2 + 1. Let g be u(1). Let k = -19 - g. Let p = 9 + k. Is p composite?
False
Suppose 2*a + 0*a = 278. Is a a composite number?
False
Let q(z) = -9*z - 8. Let t(d) = -d**3 - 12*d**2 - 10*d + 4. Let h be t(-11). Is q(h) composite?
True
Let q(p) = 2*p + 9. Is q(14) a composite number?
False
Suppose -2*z = y + 15, -41 = 3*y - z + 6*z. Let n(p) = -p**3 - 7*p**2 + 7. Is n(y) composite?
False
Suppose v + 1 = 8. Suppose 0 = 5*j - m - 11, -2*m + v = 5*j + m. Is -3 + (12 + -1)*j a prime number?
True
Let r be (6 + -3)/((-1)/15). Let z be 4/6*r/(-6). Suppose -z*i = -4*i - 55. Is i a composite number?
True
Let g(u) = 9*u**2 + 2*u - 1. Let x be g(1). Let v = x + -6. Is 267/v - (-3)/12 prime?
True
Let d = 9 - 27. Let a = 64 + d. Is a composite?
True
Let i = -16 - -75. Is i composite?
False
Suppose 0*z - 2*z + 8 = 0. Suppose 0 = m - z*m + 39. Is m composite?
False
Let k = 1137 + -748. Is k a composite number?
False
Suppose d - 2*d - 233 = 0. Let x = d - -390. Is x prime?
True
Let k(a) = -2*a - 2. Let j be k(-2). Let g be (-2)/(0 - 4/42). Suppose j*w + w = g. Is w a composite number?
False
Let l(x) = -9*x - 2. Is l(-11) prime?
True
Let g(b) = b**3 + 9*b**2 - 2*b - 3. Let q be g(-8). Suppose -q - 496 = -3*z. Is z a prime number?
True
Is 36/(-30)*(-970)/4 a prime number?
False
Let y be -10 + 3 - (-2)/2. Is (-1088)/(-24) + (-4)/y composite?
True
Suppose -5*t + 0*t = -795. Is 4/(-6)*t/(-2) a composite number?
False
Let g = -5 - -14. Let t be 124/(-3)*-1*g. Let n = -257 + t. Is n prime?
False
Let z(w) = 8*w + 11. Suppose -19 = -3*x + 11. Let p be z(x). Suppose -5*j = -4*j - p. Is j a prime number?
False
Let a be 2/(-3) - (-2)/3. Suppose a = 3*v + v. Is 1 + v/(-3) - -30 a composite number?
False
Let z be (6/8)/((-1)/(-4)). Suppose -3*v + 15 = z. Suppose -v*l + 54 = 2*s, -2*s = -4*s + 4*l + 22. Is s a composite number?
False
Suppose 0*x - 557 = -x. Is x composite?
False
Let l(b) be the third derivative of b**4/4 + b**3 - b**2. Let p be l(-5). Let i = -17 - p. Is i prime?
True
Suppose -20 = -t - 3*t, -2*z = 5*t - 9. Is 57/4 + 2/z a composite number?
True
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