12)/(-102) prime?
True
Let v(o) = -70*o + 47. Let u(d) = -d**2 + 4*d + 3. Let w be u(6). Let k(j) = 281*j - 188. Let q(l) = w*v(l) - 2*k(l). Is q(20) composite?
True
Suppose t - 5*k = 24369, -5*k - 4841 = -2*t + 43887. Is t a composite number?
False
Let v(q) = -2*q**2 + 10*q + 64. Let y be v(-4). Is 6 - (y/4 - 9833) composite?
True
Is -3 + -2*(-1271924)/4 a composite number?
False
Is 2/(-3) - 2928047/(-12) - 483/1932 composite?
False
Let d be ((-50571)/(-45))/(6/20). Let n = -2583 + d. Is n composite?
False
Let n(o) = -o**2 - o. Let p(a) = -2*a**2 - 7*a - 3. Let j(l) = 3*n(l) - p(l). Let f be j(4). Suppose -3*i - 377 = -5*b - 1911, f*i + b = 1504. Is i prime?
True
Let n(t) = -52*t - 229. Let w be n(-15). Let v = 2172 + w. Is v prime?
False
Suppose -881*s = -885*s - 28, c + 3*s = 121798. Is c a prime number?
False
Suppose 24*t = 5*t - 9405. Let p = t + 788. Is p composite?
False
Suppose r + 3*c = -3*r, -4*c = r. Suppose 2*o + o - 5307 = r. Is o a composite number?
True
Let r(h) = -h**3 + 6*h**2 + 15*h + 12. Let j be r(8). Suppose 4*u - 656 = j*g, -4*g + 3*u = -2*g + 332. Let s = -114 - g. Is s a composite number?
True
Let m(g) = 5*g**2 + 29*g + 3. Let l(k) = -13*k**2 - 58*k - 6. Let z(t) = 3*l(t) + 7*m(t). Is z(6) a composite number?
True
Let o be (11 + 1)/(2 - 4/8). Suppose -10 = o*w - 10*w. Is 201/w*(-85)/(-17) composite?
True
Is (-7)/(63/(-2)) - (6157184/(-99) + 5) composite?
False
Let x be (-15)/(-2)*1644 - (-39 + 33). Let i = x - 5701. Is i prime?
False
Let n(o) = -4*o**2 - 57*o + 78. Let r(u) = -5*u**2 - 58*u + 77. Let d(m) = 7*n(m) - 6*r(m). Is d(41) a composite number?
True
Is (-1741266)/(-108) - (25/(-6) + 4) composite?
True
Let o be 52/(-10 + 6) - -7. Is ((-10294)/o)/((-41)/(-123)) composite?
False
Let y be (-235066)/(-16) + (-9)/(-24). Suppose 0 = -g + 3*i + y, 0 = -4*g + 2*i + 56857 + 1921. Is g prime?
False
Suppose -445 + 115 = 30*n. Let p(r) = 1 - 9 - 16 - 13*r. Is p(n) a composite number?
True
Let v(h) = 2730*h**3 - 7*h**2 + 90*h - 224. Is v(3) prime?
True
Let m(d) = 91*d**3 + 28*d**2 - 12*d - 7. Is m(16) composite?
True
Suppose -23915 + 72860 = 13*t. Let y = 298 + t. Is y prime?
False
Let r(o) = -5*o**3 - 5*o**2 + 10*o + 2. Let n = 74 + -78. Let m be r(n). Let h = 57 + m. Is h a composite number?
True
Let h = -16 + 12. Suppose -3*r + 96 = r. Is (r/9)/h*(-45)/2 prime?
False
Let a be ((-2)/4*-7)/((-18)/(-349236)). Suppose 35438 = 3*f - u - 15496, -4*f + a = -3*u. Is f a prime number?
True
Suppose -30*t - 205 = -29*t. Let o(z) = -2*z**3 + 5*z**2 - 3*z - 2. Let r be o(-7). Let a = t + r. Is a composite?
True
Let s(n) = 953401*n**3 - 35*n**2 + 27*n + 6. Is s(1) a prime number?
True
Let g = 189404 + -91485. Is g prime?
True
Suppose -660 = -11*v + 8*v. Let a = -328 - v. Let f = 246 - a. Is f prime?
False
Suppose 17*c - 1083978 = 346079. Is c a composite number?
False
Let k = 1811401 + -843948. Is k composite?
True
Let m = -3 + 1. Let w be (-24408)/(-39) - m/13. Suppose s - 2*s = -2*z - 608, -4*z + w = s. Is s prime?
False
Let j(f) be the second derivative of -2*f**3/3 - f**2/2 - 6*f. Let u be j(0). Is u*3/(6/(-790)) a prime number?
False
Suppose 8 = 5*j - 2*n, 0 = -0*j + 4*j - 4*n - 4. Suppose -4*u = -j*s - 2467 + 9135, s - 3328 = 5*u. Is s prime?
False
Let f = 561 + 18. Let x = 1028 - f. Is x composite?
False
Let l(q) = -14*q - 29. Let x be l(-16). Suppose -200*n + x*n = -55. Suppose -1535 = -12*i + n*i. Is i composite?
True
Suppose -5*a - 4 = l, 5*a + 0*l - l = 4. Suppose -289*m + 283*m + 101058 = a. Is m composite?
False
Let m be (-8)/2*-15*(-259)/(-28). Suppose 4*r - 662 = -s, r = -4*s + m + 2123. Let a = 1521 - s. Is a prime?
False
Suppose 3*x + 223*h + 1485 = 226*h, 0 = 3*x + 3*h + 1491. Let g(a) = 102*a**2 + 4*a - 1. Let d be g(4). Let i = d + x. Is i a prime number?
True
Suppose -17632944 = -6*a + 633624. Suppose a = 85*h - 17*h. Is h a prime number?
True
Suppose 1425083 = -22*f + 33*f. Is f composite?
False
Let l(o) = -308*o**3 - 4*o**2 - 4*o - 2. Let x be l(5). Is x/(-14) - 26/(-91) a composite number?
True
Is (-8113)/(-12) + 1 + 2/(-24) a prime number?
True
Suppose -3*d = 0, -30*d + 27*d + 527294 = 2*v. Is v a prime number?
True
Suppose 7 = 2*x - m, 4*m = x - 0*m. Is 4082/(-2 - (x + -8)) a composite number?
True
Suppose 4*y - 73661 = 3*c, -18*y + 5*c - 92050 = -23*y. Is y prime?
True
Suppose -5720 = -10*f - 3*f. Let a = f - -1663. Is a a prime number?
False
Let q = 164 + -134. Is 4567*(-2 + (q/5)/2) a prime number?
True
Let z(m) = -172*m**2 - 19*m - 5. Let o(c) = -170*c**2 - 20*c - 4. Let b(n) = 6*o(n) - 7*z(n). Is b(3) prime?
False
Let q be (-166)/(-4) + 4/(-8). Let j = -141 + 579. Let y = j + q. Is y a prime number?
True
Let m(i) = -i**3 - 8*i**2 + 69*i - 181. Is m(-35) a composite number?
True
Let t(b) = 28503*b - 2059. Is t(14) a prime number?
True
Suppose -5*b - 1 = v, 4 = 2*b - 2*v + 2. Suppose -p - 158 + 6607 = b. Is p composite?
False
Let w(m) = 3*m**2 + 4*m + 2. Let n be w(-2). Suppose 0 = -2*p + 21 - 11. Suppose -p*o + 5*i = -2765, -2*i = i + n. Is o composite?
True
Let l(v) = -v**3 + 19*v**2 - 24*v - 13. Suppose 53*b + 13 = 54*b. Is l(b) a composite number?
True
Let o(n) = -n**3 - 8*n**2 + 8*n + 10. Let t be o(-4). Let w = t + 91. Suppose -4862 = -2*d + 4*r, w*d - 9150 - 3050 = -5*r. Is d a prime number?
True
Suppose 9*t - 5 = 13. Suppose -o - 5 = 2*i - 14, i = t*o + 2. Is o/(-1)*-1*701 prime?
True
Let m = -433 + 436. Suppose -5*z = -5*v - 6080, -2*z + m*v = -3*z + 1204. Is z a prime number?
True
Let c = 44304 - -62456. Suppose -c = -3*n + 17569. Is n prime?
True
Let z(w) = -w**2 + 4*w + 62. Let f be z(10). Suppose 2*y + f*h = 2511 + 2155, 4*y = -2*h + 9332. Is y a prime number?
True
Suppose 373450 - 921188 = -5*p - 3*o, 0 = -3*p - 4*o + 328623. Is p composite?
True
Suppose -4*b + 89742 = -14*b + 795032. Is b a composite number?
False
Suppose 2*k - 511180 = -138*r + 139*r, 0 = 2*k - 3*r - 511192. Is k prime?
True
Let m = -93 + 38. Let r be (-505)/m + (-10)/55. Let w(q) = 2*q**3 - 12*q**2 - 6*q - 13. Is w(r) composite?
False
Suppose 314*s + 36452901 - 71660206 = 80827941. Is s a prime number?
True
Suppose -136*w + 2*n = -133*w - 2755213, 4*w = 2*n + 3673622. Is w prime?
False
Suppose -782341 = -25*c - 15*c + 147699. Is c a prime number?
True
Suppose h = 3*w - 278746 - 173968, 2*w = -4*h + 301814. Is w a prime number?
False
Let q be 1330/21*(-2304)/(-30). Let r = -1613 + q. Is r a prime number?
True
Suppose 3*u + 6 = 0, 3*m - 33*u + 32*u = 1467779. Is m a composite number?
True
Suppose -24*w + 3*h + 158847 = -21*w, 3*h + 211792 = 4*w. Is w a composite number?
True
Let q(b) be the first derivative of b**2/2 + 54*b + 34. Let v be q(-23). Suppose 28*x = v*x - 4926. Is x composite?
True
Suppose -4*h - 9 = -j, -2*h + 2*j + j = -3. Let i be 2/(4/(-226)) - h/(-1). Let p = i + 1303. Is p prime?
True
Suppose 5*a - 4 = -2*c + 2, 0 = -4*a + 4*c + 16. Let l(b) = 9*b + 14 + 5*b + 7*b + 18*b**a. Is l(11) a prime number?
True
Let y = 83370 + -38429. Is y a prime number?
False
Let h = -825150 - -1777748. Is h composite?
True
Let l(q) = q**2 + 18*q - 38. Let a = -126 + 106. Let s be l(a). Suppose -10*f + 8*f + 709 = 5*j, 6 = -s*f. Is j a composite number?
True
Suppose 2*b = 8*c - 5*c + 47319, 0 = -4*b + 2*c + 94634. Is b*((-245)/(-30) + -8) prime?
True
Suppose 4*q + 204 = 4*v - 2712, -2*v + 1467 = -5*q. Let x = 1425 - v. Suppose 2*h = 4, -4*h + x + 1044 = 5*k. Is k a composite number?
False
Let n be 1 - ((-1 - -4) + -4). Suppose x - 4*x = -5*g + 1, -n*x - 5*g = 9. Let h(v) = -369*v - 1. Is h(x) a prime number?
False
Suppose 6*v = 120 + 84. Suppose -v*w + 103951 = 5385. Is w composite?
True
Let x = 64 - 59. Suppose -x*a = -3*a - 696. Let k = a + -55. Is k a prime number?
True
Let q be (3 + 1)*(-1 + 2). Suppose -q*k + 27048 = -5*p, -2*k - 5*p + 13506 = -3*p. Is k composite?
True
Is (-13)/5 - (26/(-10) - -3) - -275516 a composite number?
True
Let p(l) = 12*l + 269. Let n be p(-23). Is (1559/(-3))/(n*(-12)/(-252)) a prime number?
True
Suppose -5*o + 0*v - v = -442671, 0 = 2*o + 5*v - 177050. Is o a composite number?
True
Suppose 6*v - 13 = -1. Let d(n) = -n**3 - 17*n**2 - 5*n - 2. Let w(t) = -t**3 - t + 1. Let b(g) = v*w(g) - d(g). Is b(17) prime?
False
Suppose -5*m + 10445 = 4*k, -10*m + 8*m + 3*k = -4178. Let j = m - 335. Is j a 