e
Suppose -f - 1 = -6. Suppose 0 = -3*w - 9 + 24. Suppose w*m + 5*p - 290 = 0, -f*m + 290 = -2*p + 3*p. Is m a prime number?
False
Let a = 1715 - 1086. Is a a prime number?
False
Suppose -4*y - 4*v = 188, 5*v - 43 = y + 16. Let n be 2/4 - 167/(-2). Let u = n + y. Is u a composite number?
True
Let m be (0 - 1)/((-6)/12). Let c be (0 + 5/m)*62. Let y = -106 + c. Is y composite?
True
Let r(d) = -d**2 + d. Let i be (3/((-6)/28))/(-2). Let w be r(i). Let y = w - -169. Is y a composite number?
False
Suppose -5*p + 2*b + 724 = 0, -p - b + 140 = -3*b. Suppose 3*h - 5*k - 274 = 0, 2*h + 2*k - p = -2*k. Is h prime?
True
Let u = 851 + -444. Is u a composite number?
True
Suppose -4*c = -39 + 191. Let f = c + 129. Is f a prime number?
False
Suppose -3*p - 12 = m - 2*m, 8 = 3*m + 5*p. Let o(f) = -3 + m*f - 3 - f. Is o(4) prime?
False
Let g = 12 + 307. Is g prime?
False
Is 1 + (0 - -90) + -4 a composite number?
True
Is ((-38)/3)/(14/(-147)) a prime number?
False
Let q = -2 + -7. Is 1106/21 - 3/q a prime number?
True
Suppose 2494 + 7662 = 3*f - 5*b, -5*f + 16890 = -b. Is f a composite number?
True
Let m = -253 + 355. Let u be m/(-42) - (-6)/14. Is (1 + -3)*85/u a composite number?
True
Let s(u) = 19*u**2 - 10*u - 7. Is s(-4) a composite number?
False
Let v(b) = -b. Let l be v(-3). Suppose d - 708 = -l*d. Is d a composite number?
True
Let a(d) = 3*d**2 + 4*d + 9. Is a(-6) a composite number?
True
Suppose -4*b = -7*b + 1167. Is b composite?
False
Let u = 12766 + -5987. Is u prime?
True
Let c be (45/(-20))/((-2)/(-8)). Let z be (-8)/(-36) + 11/c. Is z + 1/(2/44) composite?
True
Let f = -7 + 9. Suppose 54 = f*s - 3*s. Let o = -19 - s. Is o a composite number?
True
Let i be (-10)/(-3)*3/1. Let p = -3 + i. Let f(z) = 11*z. Is f(p) prime?
False
Suppose -3*f = v + 7, 2*f + 26 = -2*f + 2*v. Let u be (-2)/f*(-812)/(-2). Let d = u - 112. Is d composite?
True
Let i = 45 - 15. Suppose v + 2*v = i. Is v prime?
False
Let r(o) = 2*o - 1. Let i(s) = -s + 2. Let v(w) = 3*i(w) + 4*r(w). Is v(7) a prime number?
True
Let g(q) = -23*q - 2. Let h be g(2). Let m = 27 + h. Is (-891)/(-7) - (-6)/m a prime number?
True
Let a be ((-12)/9)/((-6)/9). Let q(j) = 5*j + j**2 + 2*j**a + 3 + 2*j**2 - j**3. Is q(4) a composite number?
True
Let p = 163 - 112. Let n = 1 + 4. Suppose -4*s - n*x = -p, 0 = -3*s + 2*x - 7*x + 37. Is s a composite number?
True
Suppose -j - 575 = -6*j. Is j a prime number?
False
Let o(w) = -w - 28. Let r be o(0). Is 4/14 - 5340/r prime?
True
Let h be 2 + -2 - (1 + -4). Suppose -457 = -4*g + h*m + 591, -g - 3*m = -247. Is g a prime number?
False
Let a(w) = 5*w**3 + 5*w**2 - 2*w - 1. Let g be 2*(0 + 1/2). Let j(m) = -m**3 + m + 1. Let x(d) = g*a(d) + 4*j(d). Is x(-3) prime?
False
Suppose 3*h - 132 = -3*d, -5*d + 258 = 3*h + 32. Is d a prime number?
True
Suppose -211 + 3013 = 3*m. Is m a prime number?
False
Suppose 4*q - 2*w - 6000 = 0, 2*q = 2*w + 885 + 2117. Is q prime?
True
Suppose 3*m = 915 + 486. Is m prime?
True
Let q(d) be the first derivative of 7*d**4/4 - d**3/3 + d - 2. Is q(1) a composite number?
False
Let p = 5 - 0. Suppose 5*y = -0*y + z + 418, -3*y - p*z + 234 = 0. Is y prime?
True
Is (-96964)/(-42) - 1/(-3) prime?
True
Is (3/6)/(1/(-659))*-2 a composite number?
False
Suppose -1314 = -5*g + 1801. Is g a composite number?
True
Suppose -246 = -5*d + 2009. Is d a composite number?
True
Let u(l) = 5*l**2 - 3*l + 5. Let p be u(4). Suppose 0 = -5*b + 3*f + 496, 0 = -b + 5*f + 35 + p. Suppose -b = -3*s + 61. Is s composite?
False
Let l = 8 + -5. Let y = 387 - 239. Suppose l*h + h = y. Is h a prime number?
True
Is 3*(-2)/3*977/(-2) a composite number?
False
Let q(u) = u**2 - 9*u + 3. Let v be q(9). Suppose 5*c - v*l - 95 = 0, -2*c - 6*l + 38 = -4*l. Is c composite?
False
Let m(x) = 26*x**2 + 7*x - 4. Let a be m(6). Let u = a + -672. Suppose -274 = -2*q + 5*o, -o - 83 = -3*q + u. Is q a prime number?
True
Suppose 0 = -2*m + 182 + 686. Let s = m - 289. Is s a prime number?
False
Suppose 2*c - 5*q + 450 = 7*c, 358 = 4*c + 3*q. Is (c/(-14))/(2/(-7)) prime?
False
Suppose -3*v + d - 381 = -4*v, 3*d - 12 = 0. Is v a composite number?
True
Let b = -13 - -8. Let c = 5 + b. Suppose -j = -c*j - 15. Is j prime?
False
Is 5/2*(5 - (-1911)/35) a composite number?
False
Let p(q) = 7*q**2 + 4*q + 2. Is p(-3) a composite number?
False
Let t = 23 + 44. Is t a composite number?
False
Suppose -2*p - 3 = 3*j, j - 2 = 2*p - 3. Suppose 3*m + 196 = 4*m. Suppose p = -4*r - 0*r + m. Is r a composite number?
True
Let k(n) = -85*n**3 - n**2 - 3*n - 2. Is k(-1) prime?
False
Suppose 5*h = -3*t - 0*t + 367, 0 = 2*t - 2*h - 266. Suppose 0 = -3*j + 2*m + 213, -j + 3*m = -3*j + t. Is j a composite number?
True
Let p(g) = -3*g**2 + 2*g + 2. Let x be p(2). Let o(y) = 2*y - 7. Let r(t) = -5*t + 20. Let u(h) = -17*o(h) - 6*r(h). Is u(x) composite?
False
Let b(f) = -f**2 - f + 215. Is b(0) composite?
True
Let t(p) = p**3 - 5*p**2 - 6*p. Let r be t(6). Let m(c) = c + 3*c - 5*c + 77. Is m(r) composite?
True
Suppose 0 = -8*v + 5*v - 471. Let h = v + 244. Is h prime?
False
Suppose d - 40 = -4*d. Suppose -2 = -5*b + d. Is 13/4 - b/8 a composite number?
False
Let l(s) be the first derivative of 53*s**2 - s - 3. Let t be l(1). Let m = t - 59. Is m a composite number?
True
Suppose 0 = -0*g + 4*g - 24. Suppose g = f + 2. Suppose -4*y = -5*o - 139, -y + f*y = -3*o + 84. Is y prime?
True
Suppose 2*m = 4 + 2, 0 = -k + 3*m + 613. Suppose 4*g - 2*g + k = 0. Let s = 534 + g. Is s composite?
False
Let d be (2 + -1)/1 - 4. Let t be 128/12 - (-2)/d. Is (44/t)/(6/15) a composite number?
False
Let i be -1*1/((-3)/633). Let h = -132 + i. Is h a prime number?
True
Suppose -g - 2*g - 51 = 0. Let c = -31 + g. Let m = 83 + c. Is m composite?
True
Let u(x) = x**2 + 10*x - 7. Let z be 1/(2*2/(-36)). Let q be u(z). Let h = q - -35. Is h composite?
False
Let u(d) = d**3 - 8*d**2 + 8*d - 2. Let q be u(7). Suppose z - 142 = -q*b, -2*b + z + 56 = 2. Is 652/b - 2/7 a prime number?
True
Suppose -3*a + 16*a = 3081. Is a a composite number?
True
Let p be 7/(-42) + 1/6. Suppose p = 2*x - 0*x - 190. Is x composite?
True
Let h(i) = i**3 + i**2 - 205. Let t be h(0). Suppose 0 = -3*l + 5*l + 708. Let a = t - l. Is a composite?
False
Let d = -1 + 10. Is 312/d + (-1)/(-3) a prime number?
False
Let l = 108 + 283. Is l prime?
False
Is (-15)/6*2174/(-5) prime?
True
Suppose -16 = -5*z + z. Suppose z*m - 107 = -31. Is m prime?
True
Let n(b) = b**2 + b - 1. Let q be n(-2). Suppose 5*t = i - 20, -19 = 4*i + q. Let a(f) = -8*f - 3. Is a(t) composite?
False
Suppose 5*i - 407 = 338. Is i a prime number?
True
Let u(r) = r + 1. Let l be u(6). Suppose 2*s - 5 = l. Is s a composite number?
True
Suppose -2 = 5*f + 3*r, -5*f + 2*f = r - 2. Suppose f*z = 3*v - 5 + 1, 5*v - 8 = 2*z. Suppose 0*y = -v*y + 2, -2*y = 3*j - 251. Is j a prime number?
True
Suppose -6 = -0*d + 2*d. Let s = d + 9. Is ((-68)/s)/((-2)/15) prime?
False
Let r = -1206 + 1923. Is r composite?
True
Let a = -10 + 11. Let f(o) be the first derivative of 11*o**4/2 - 2*o**3/3 + o**2/2 - 1. Is f(a) prime?
False
Suppose -s = 3*h + 2*h - 130, 568 = 4*s - 4*h. Suppose -s = -6*p + 2*p. Is p a composite number?
True
Let v(f) = 4*f + 7*f**2 - 7*f**3 + 8*f**3 + 10 - 3*f. Let w be v(-7). Suppose -w*s + 212 = -s. Is s composite?
True
Suppose -n = l - 6, -4*n - 3*l + 19 + 6 = 0. Is n a composite number?
False
Let o = -13 - -28. Suppose 2*y - 4*v - 51 = -3*y, 5*y + 5*v = o. Is y prime?
True
Let v(d) be the third derivative of d**6/120 + d**5/20 - d**4/4 - 5*d**3/6 + 2*d**2. Let l be v(-4). Suppose 114 = l*z - 159. Is z composite?
True
Let k(v) = 2*v**3 - 17*v**2 + 6*v + 12. Is k(11) prime?
True
Suppose 0*h + 2*h + u = 499, 0 = 2*u + 6. Is h composite?
False
Suppose -11*a = -14*a + 4773. Is a a composite number?
True
Let b = -26 - -28. Let t(f) = f**2 - 5*f. Let a be t(5). Suppose a*l + b*l = 130. Is l a prime number?
False
Let x(n) = n + 3 - n - n - 5. Let j be x(-6). Suppose 0 = -j*q - z + 45, -4*q + 17 + 3 = -4*z. Is q composite?
True
Let v(x) = 187*x - 1. Suppose -14 = -8*s + s. Is v(s) prime?
True
Let q(m) = m**3 - 5*m**2 - 5*m + 4. Let o = 3 + -2. Suppose 2*j - 1 = o, 5*u - j = 29. Is q(u) composite?
True
Let p = 246 + 173. Is p a prime number?
True
Let o = 205 - 22. Is o a composite number?
True
Let y 