 number?
False
Suppose -50156 = -122*w + 118*w. Is w composite?
False
Let d = -14018 + 38625. Is d a prime number?
False
Let t = -8443 + 12410. Is t prime?
True
Suppose 1098 = 5*m - j, 2*m = -2*j + 4*j + 436. Is (4/5)/(8/m) prime?
False
Let b(h) = -h**2 - 8*h - 2. Suppose 3 = -j - 3. Let k be b(j). Suppose g - k = 13. Is g a composite number?
False
Suppose 0 = -21*y + 88906 + 393149. Is y a composite number?
True
Suppose 4*h + 5*z - 16 = 0, 5*h - 3*z = 2*z + 20. Let t be 195/((-6)/h + 3). Let f = t - 33. Is f a composite number?
False
Let n(j) = -24*j**2 + 15*j + 54. Let b(r) = -12*r**2 + 7*r + 27. Let v(q) = -5*b(q) + 2*n(q). Is v(8) a composite number?
False
Is 22773 - ((-260)/(-78) + 4/6) a composite number?
False
Let c(b) = -2*b - 17 + 5 + 4. Let j be c(-5). Suppose -2*d - k = -9, -3*d + d + j*k = 0. Is d a prime number?
True
Let k(d) = 2*d**3 + 13*d**2 - 6*d + 10. Let m be k(-7). Suppose -4*r + m*g = 2*g - 983, -3*r = g - 746. Is r a composite number?
True
Let u(w) = -8*w + 7. Suppose t + 8 = 1. Let j be u(t). Let h = -28 + j. Is h a composite number?
True
Is 520 + -4 + (5 - 0) a prime number?
True
Suppose -5*f = 0, 36*j + 4*f = 34*j + 1126. Is j prime?
True
Let m = 61 + -61. Let d(g) = -g**2 + g + 3793. Is d(m) a prime number?
True
Suppose -4*s - 5*l + 501 = 0, l - 367 = -3*s + 6*l. Let j = -67 + s. Is j prime?
False
Suppose -66*q = -63*q - 2166. Suppose 0 = 8*g + 11*g - q. Is g prime?
False
Suppose 4*r = -3*o + 46061, -4*o + 3*o - r = -15352. Is o a prime number?
False
Let l(n) = -n**3 + n**2 - n + 467. Let z(v) = v**2 - 15*v - 16. Let y be z(16). Is l(y) a prime number?
True
Let y(d) = 2*d + 13. Let b be ((-4)/(-8) - 1)*-12. Is y(b) a composite number?
True
Suppose 5*v - w = -9712 + 167546, 3*v + 5*w - 94706 = 0. Is v composite?
False
Suppose -7*p = -3*p. Let z(u) = -10*u**2 + p*u**2 + 1 + u**3 + 5*u - 4 + 2. Is z(10) composite?
True
Let i(p) = -4 + p - 7*p + 7 - 8*p. Is i(-2) a prime number?
True
Let u = 3 - -13. Suppose 4*f - 3*n - 1569 = f, 0 = 4*n + u. Is f prime?
False
Let j = 2 + 6. Let d = j + -4. Suppose -44 = -d*u + 620. Is u composite?
True
Let n be 1/(-1 + (-4)/(-8)). Let f be 23513 + (-1 - n) + 2. Is 4/(-18) - f/(-36) a composite number?
False
Is (1 - 380)/((-28)/84) a composite number?
True
Let t = -36 - -33. Let g(l) = 76*l**2 + 3*l - 2. Is g(t) a composite number?
False
Suppose 367*o = 364*o + 7311. Is o prime?
True
Let r = 491 - 956. Let k = 860 + r. Is k composite?
True
Let j be -1 + 5/((-5)/(-407)). Suppose 2*t = j - 50. Suppose -67 = 3*w - t. Is w composite?
False
Suppose 4*a - 22 = -6. Suppose 6*q = 2*q + a. Suppose y - 3*y - v + 7 = 0, -v = -y - q. Is y composite?
False
Is (-4)/26 - 200344/208*-6 a composite number?
False
Suppose 2*k = k + 7*k. Suppose 3*c - 3882 + 1287 = k. Is c a prime number?
False
Let y = -55 - -115. Let v = -15 - -29. Suppose 2*h - y = -v. Is h a prime number?
True
Let l = 30 - 28. Suppose -l*m + 2*d + 4 = 0, 4*m - 3*d - 12 = -1. Suppose -5*j = 5*c - 3490, 3500 = m*c - j + 4*j. Is c composite?
True
Suppose g + 3*g = 3*v - 2209, -g - 2967 = -4*v. Let d = -1269 + v. Let r = 908 + d. Is r composite?
True
Let l(r) = -r**3 + 7*r**2 - 5*r - 2. Let a be l(6). Let i be (-2 - -14)/3 - a. Is 2*((-86)/(-4) - i) a prime number?
True
Suppose -7*t + 2*f - 30 = -2*t, 0 = -2*t + f - 13. Is t - (-190)/45 - 709/(-9) a composite number?
False
Let o = 29 - 25. Suppose 5*x + 4*l - 781 = 2*x, o*x - 1093 = 5*l. Is -3*x/(-9)*1 prime?
True
Let h be -1 + 6 + -5 + 0 + 0. Let y = 22 + h. Is y composite?
True
Let x = -367 + 848. Is x a composite number?
True
Let j(o) = o + 1 - 4*o**3 + 6 + 4*o**3 - 6*o**2 - o**3. Is j(-8) prime?
True
Suppose 10592 + 1404 = 4*v. Is v prime?
True
Let s(u) = -21 + 8 - 3 + 79*u. Is s(5) a prime number?
True
Let k(v) = 2200*v + 35. Is k(9) a composite number?
True
Is (-148)/370 - (-1 + 31942/(-5)) composite?
False
Is 96/(-8) + 5 - (-1 + -87185) a prime number?
True
Suppose -5*q + 4 + 6 = 0. Suppose f = q*z + 5*f - 1070, -4*z = 3*f - 2155. Is z prime?
True
Let y = -48749 - -80416. Is y composite?
False
Let c(u) = -u**3 - 26*u**2 - 101*u + 10. Is c(-24) a composite number?
True
Let u(n) = -n**3 - 18*n**2 + 82*n + 62. Is u(-42) prime?
False
Let z = -11 - 76. Let a = 78 - z. Let j = 416 - a. Is j a prime number?
True
Let c = -8 + 12. Suppose c*x = x + 12. Suppose -2*q - 4*r = -906, -8*r = 4*q - x*r - 1800. Is q a composite number?
True
Let z = 4324 + -1817. Is z a prime number?
False
Let p = -68 - -73. Suppose -p*j = -46 + 11. Is j prime?
True
Suppose -p = -0*p + 2683. Let k = p + 5706. Suppose -5*o + k = 1048. Is o prime?
False
Let z = -15 + 16. Suppose t = z + 1. Let d = 23 - t. Is d prime?
False
Let n(z) = -6*z**3 - z**2 + 4*z - 1. Let t(g) = g**2 - g. Let j(w) = n(w) - 3*t(w). Let d be j(-6). Let b = d - 778. Is b a prime number?
True
Let l(w) = w**3 - 14*w**2 - 33*w - 19. Let g be l(24). Suppose -12*y = -19*y + g. Is y a composite number?
True
Suppose -4*s = -3*n - 4185, -2048 = -3*s - 3*n + 1117. Suppose 0 = 6*l - 1176 - s. Is l prime?
False
Let u(v) = 1505*v**2 - 1. Let d be u(1). Is d/4 + 0 - -1 a composite number?
True
Let m(n) = 307*n**2 + 14*n + 103. Is m(-6) composite?
False
Let z(v) = -v**2 - v - 1. Let u(j) = -57*j**2 + 9. Let g(y) = u(y) + 15*z(y). Let i(k) be the first derivative of g(k). Is i(-7) composite?
True
Suppose 0 = 2*x - x - 462. Let t = x + -135. Is 4/20 - t/(-15) composite?
True
Let z = -111 - -79. Let n = z + 32. Is 4 + -1 - n - -370 composite?
False
Let w be (-10)/(-40) - 5982/(-8). Suppose 4*p = -3*j - j + w, 0 = -3*j + p + 553. Is j a composite number?
True
Let v = 16 + -12. Let n be 6/v + (-7970)/20. Let r = n + 606. Is r a prime number?
False
Let g be 7/((-7)/(-2)) + 1144. Let n = 1324 - 549. Let b = g - n. Is b a prime number?
False
Suppose -203827 = -62*o + 49*o. Is o prime?
True
Let i(k) = 3*k**2 + 10*k + 58037. Is i(0) composite?
True
Let x(p) = p**2 + p + 5381. Let c be x(0). Suppose 6*k - c - 1333 = 0. Is k a composite number?
True
Let g = 45853 + 25132. Is g a composite number?
True
Let b(h) = 5324*h**2 + 2*h + 11. Is b(3) prime?
True
Let s = -28 - -31. Suppose 5*c = s*g - 11 - 73, -2*c + 4*g - 42 = 0. Let o(m) = -15*m + 1. Is o(c) prime?
False
Suppose 13*t - 48185 = 8*t. Is t composite?
True
Let m = 89 + -90. Let d(u) = u - 635*u**3 - u. Is d(m) a composite number?
True
Let p = -6700 + 14507. Is p a composite number?
True
Is (-774707)/(-68) + 3/12 composite?
False
Let u(s) = s**3 + 18*s**2 - s - 13. Suppose 0*n - 51 = 3*n. Is u(n) a composite number?
False
Let f be 4/12 + (-2216)/(-12). Suppose 4*d = 9*d - f. Is d prime?
True
Let t = 12 + 4. Suppose -3*h + t = -0*q - q, 2*h = 3*q + 20. Is (-409)/(-4 + h + -1) a composite number?
False
Let z(v) be the third derivative of 73*v**5/60 - v**4/24 - v**3/2 - 54*v**2 - 1. Let p be (8/20)/((-2)/(-10)). Is z(p) a prime number?
False
Suppose -3*c + 4*l = -22175, -3*c + 2*l = 3*l - 22180. Is c a prime number?
True
Let w(r) = -r**2 + 3*r + 3. Let k be w(4). Let h = 7 - k. Is h/(-36) - (-9742)/18 a composite number?
False
Suppose -5*z = 4*u - 77173, -2*u - 2*z + 28442 + 10146 = 0. Is u composite?
True
Suppose -110695 = -22*z + 63391. Is z prime?
False
Let g(o) be the first derivative of 274*o**3/3 - 3*o**2/2 - 5*o + 2. Is g(-2) a prime number?
True
Let y = -28768 + 47505. Is y a composite number?
True
Let g be ((-20)/(-16))/5*20. Is ((-51)/g)/((-14)/70) a composite number?
True
Let p(w) = 33*w - 4. Suppose 11*u = 8*u + 27. Is p(u) a prime number?
True
Let p = -44 - -46. Suppose 8781 = 5*d - p*d. Is d a prime number?
True
Suppose 4*i + 1117 = 433. Let w = i - -370. Is w a composite number?
False
Let u be -4 - -4 - 20/(-5). Let q be (2*-1)/(2/(-5263)). Suppose 0 = u*x - q + 1235. Is x a composite number?
True
Let r = 709 + -238. Suppose -r = -2*d + d. Is d a composite number?
True
Suppose f = -g - 2*f + 12215, -g - 4*f + 12219 = 0. Is g prime?
True
Let o = -2343 - -2752. Is o composite?
False
Suppose -2*z + 60041 = 3*l, -4*l - 3*z + 1195 = -78858. Is l composite?
True
Let o = -6 + 3. Let a(j) = -6*j**2 + 15*j - 10. Let k(s) = 7*s**2 - 15*s + 9. Let f(p) = o*a(p) - 2*k(p). Is f(11) a prime number?
True
Let v(m) = -m**3 + 5*m**2 + 6*m + 3. Let y be v(6). Suppose 3*w - y*l - 2358 = 0, 0*l + 2356 = 3*w - 5*l. Is w a comp