e
Let z = -3 + 1. Is 8/6*(-111)/z a prime number?
False
Suppose 3*z - 5505 - 3390 = 0. Is z prime?
False
Let c(m) = -m**3 + 27*m**2 - 9*m - 45. Is c(26) a composite number?
False
Is ((-1964)/(-12))/((-2)/(-6)) prime?
True
Suppose 3*b = 4*f - 242, 6*b - b = f - 52. Let p = f - -35. Is p prime?
True
Let h be 44/33*(-30)/(-4). Is h - (-1)/(3/12) composite?
True
Is 203/(5/((-10)/(-2))) composite?
True
Let k(c) = -7*c + 7. Is k(-6) a composite number?
True
Is 201 + -10 - (-4)/(-1) composite?
True
Let t(d) = -d**3 - 7*d**2 + 7*d - 3. Let l be t(-8). Suppose -l*f + f + 52 = 0. Is f composite?
False
Let n(k) be the second derivative of k**4/12 - 4*k**3/3 + 7*k**2/2 - 3*k. Let y be n(10). Suppose t - 5*b + 2*b - 6 = 0, 0 = -2*t + 3*b + y. Is t prime?
False
Suppose -4*j = -8*j. Let r(g) = 12*g**3 - g**2 + g + 1. Let a be r(2). Suppose 4*y - a - 9 = j. Is y a prime number?
False
Suppose 12 - 52 = -4*g. Suppose -2*j + t - 186 = 2*j, 5*t = -g. Let y = j - -66. Is y a composite number?
False
Let h = 223 - 152. Is h prime?
True
Let s = -11 + 11. Suppose 3*q = -s*q + 249. Is q prime?
True
Let j(m) = -m**3 + 10*m**2 + 12*m - 8. Let x be j(11). Suppose 29 = x*n - 28. Is n composite?
False
Let k = -2 - -4. Suppose k*l + 3*l + 5 = -5*y, -4*l = -3*y + 4. Is (-71)/l - (-1 - -3) a composite number?
True
Let g(b) = 8*b**2 + 8*b - 1. Is g(-7) prime?
False
Let q = -13 - -1. Let z be 3/4 + (-3)/q. Is 18 - 3/(z*-3) prime?
True
Let n(m) = -2*m + 4. Let q be n(6). Let v be -4*(18/q + -1). Suppose -v = -a + w, 5*a - 21 = 2*w + 44. Is a composite?
False
Let d(u) be the second derivative of u**4/4 - 7*u**3/3 + 7*u**2 - 7*u. Is d(11) a composite number?
False
Suppose 0 = -i + 4 - 36. Let o = i + 68. Suppose 2*y = -4*c + o, 4*c - 48 = -0*c + 4*y. Is c a prime number?
False
Let j = 5792 - 1489. Is j composite?
True
Let x(z) = z**2 - 7*z + 4. Let d be x(7). Let o = 73 - d. Is o prime?
False
Suppose 18*q + 3 = 17*q. Is (-1)/6*62*q composite?
False
Suppose 720 = 3*p + 294. Suppose 0 = -a - t + 2*t + 88, a = -4*t + 63. Let z = p - a. Is z a prime number?
True
Suppose 30 = -a + 117. Is a composite?
True
Suppose -3*k + 1 = -w + 4, 3*k + 3 = -3*w. Suppose w = 4*l + h + 628, 5*h + 612 = 2*l - 6*l. Is (l/8)/(3/(-12)) prime?
True
Suppose 4*w + 2 = 2*g + 4, 4*w - 8 = 0. Let m(d) = 0 + 6*d**2 - d**g - 4*d + 2*d - 5 + 4. Is m(4) a prime number?
True
Let l(u) = 11*u**2 - 3*u + 4. Let i be l(3). Suppose 4*p - 4*t - 76 = 0, 5*p + 5*t - i = 31. Is p*(15/(-6))/(-5) a composite number?
False
Suppose 172 = 2*m + 16. Suppose -2*o - 5*r + 37 = 0, -m = -3*o - 3*r - 0*r. Is o a prime number?
True
Let g be (2/(-2) - 2)*1. Is 574*3/(-18)*g prime?
False
Let u be (-2)/(-9) - 6/27. Suppose -f - 10 = 3*h, -5*f - h + 5 + 1 = u. Let y = 5 - f. Is y composite?
False
Let l(r) = -4*r + 9. Let j = 3 - 10. Is l(j) prime?
True
Let j be (-6831)/15 - (-2)/5. Let c = 267 + j. Is (c/6)/((-8)/12) a composite number?
False
Let j = 1 - -36. Is j prime?
True
Suppose -3*n + 10 = 2*n. Suppose 2 = y - o - 8, -n*y - 3*o + 15 = 0. Is y composite?
True
Suppose 5*p - 9099 = -2854. Is p composite?
False
Suppose -4*z + 73 = -5*q, -4*z + 3*q + 75 = -4. Is z composite?
True
Let z(t) = -37*t - 20. Is z(-7) composite?
False
Let p be 2/11 + 294/77. Suppose 0 = -4*r + p, -2*r = -0*t + 4*t - 10. Suppose i - 62 = 2*q - 331, t*i - 127 = -q. Is q prime?
False
Let w(s) = 3*s**3 + s**2 - 5*s - 4. Let a be (-3 + 2)*(-3 + -2). Is w(a) prime?
False
Suppose -v - 3*b - 5 + 127 = 0, -v + 2*b + 137 = 0. Is v a prime number?
True
Suppose -l - 4*i + 281 = 0, 2*l - i = -0*l + 589. Is l composite?
False
Let x(o) = 12*o**2 + o + 4. Let l be x(-4). Suppose -f - 384 = h - 5*h, 0 = 2*h + 4*f - l. Is 8/28 + h/7 composite?
True
Let f be 2 + -7*1 + -2. Let k(y) = -2*y + 3*y + 4*y**2 + y - 4 - 3*y**2. Is k(f) composite?
False
Let r(a) = -6*a + 10. Let p be r(-9). Let s = -91 + p. Let u = s - -41. Is u composite?
True
Let n(p) = -p**3 - 6*p**2 + p - 10. Let w be n(-7). Let t = 85 - w. Is t a composite number?
False
Suppose 509 = -5*m + 1624. Is m composite?
False
Let v = 155 - -200. Is v prime?
False
Let a(x) = -x**2 + 5*x - 2. Let h be a(5). Let c be 2/(h + 0)*-2. Is -7*c/(4/(-22)) a prime number?
False
Suppose -2*o + 3*o = 4. Let h(j) = 23*j + 3. Is h(o) prime?
False
Let p(k) = -k - 2. Let w be p(-3). Let l(y) = -5*y + 1. Let j be l(w). Let q = 10 + j. Is q composite?
True
Suppose 4*t - 4*l - 3598 = -2*l, -5*t + 4498 = -3*l. Is t prime?
False
Let h = -1 + 1. Suppose -5*o - 25 = h, 0 = 3*v - 2*o - 20 - 2. Suppose -v*r = 4*j - 84, 5*r = j - 0*j - 33. Is j a composite number?
False
Let v(z) = -4 + 0*z**2 + z**2 + 42*z**3 + 3 - 5*z**3. Is v(1) a prime number?
True
Let n(x) = -x**3 + 5*x**2 + 8*x - 4. Let o be n(6). Is (-226)/o*(1 + -5) prime?
True
Let q(x) = 898*x + 5. Is q(2) a composite number?
False
Suppose 2*a = 2712 + 1074. Is a a prime number?
False
Let a = 3 - 4. Let i be (-9)/(-3) - (a + -146). Suppose 4*t - 62 - i = 0. Is t a composite number?
False
Let q(i) = i**2 - 7*i + 6. Let j be q(6). Suppose j = 5*d - 25 - 45. Is d a composite number?
True
Is (1948/(-6))/(16/12 + -2) a prime number?
True
Suppose 2*y - y = -5. Is 2/10 + (-264)/y a composite number?
False
Is 40/(-6)*4191/(-44) composite?
True
Suppose i = 2*i - 1. Let z(c) be the second derivative of 67*c**3/6 - c. Is z(i) composite?
False
Suppose 2 + 2 = u. Suppose -5*c = -u - 1, -4*c - 456 = -4*a. Is a prime?
False
Let x = 8 - 6. Suppose 2*k - 405 + 83 = 0. Suppose k = -j + x*j. Is j a composite number?
True
Suppose -3*p = -0 - 6. Is p + (-189)/((-1)/1) a prime number?
True
Let w be 1*7 - (-5 + 4). Suppose w*o - 4*o - 188 = 0. Is o prime?
True
Let o(a) = 7*a**3 + 2*a**2 - 8*a - 5. Let y(q) = 6*q**3 + 2*q**2 - 7*q - 4. Let i(u) = -5*o(u) + 6*y(u). Is i(4) a composite number?
False
Suppose 3*o - 1428 = -3*p, -o = 3*o - p - 1929. Is o composite?
True
Let h(p) be the third derivative of 35*p**4/24 + 3*p**3/2 - 5*p**2. Is h(7) composite?
True
Suppose 0 = 4*i - 5*z - 75, -5*z - 95 = -4*i - i. Let v = -5 - -10. Let r = v + i. Is r a composite number?
True
Suppose -177 = -5*f + 1118. Is f a prime number?
False
Let t = 3 - 0. Suppose t*q - 5*h = 920, 4*q - q - 910 = -5*h. Is q a prime number?
False
Let d(l) = 22*l + 3. Is d(12) prime?
False
Suppose 5*n + 10 = 5*k, -2*k - 3*n = n + 14. Let t = -30 - 6. Is (-1)/k - t/2 a composite number?
False
Let m(s) = s**3 + 5*s**2 - 7*s - 2. Let b be m(-6). Suppose 4*u - 9*u + 195 = 0. Suppose -u = -b*p - 11. Is p a composite number?
False
Let s = -66 - -117. Is s/(-6)*(-4 - 2) composite?
True
Suppose -5752 = -6*j + 2*j + 2*x, 4*x = 2*j - 2888. Let z be j/28 + (-4)/14. Suppose -5*p - 149 = -3*i, -p + 0*p - z = -i. Is i a prime number?
True
Let i(k) = k**2 - 12*k + 14. Let t be i(11). Suppose -125 = -t*g + 40. Is g composite?
True
Suppose 5*n + 8 = 4*n + 5*y, 0 = -2*y + 4. Let i be ((20/1)/5)/2. Suppose -i*s = -5*v - 183, 2*s - n*v - 182 = 2*v. Is s a composite number?
False
Let i(a) = -a**3 + 21*a**2 - 26*a - 15. Is i(14) composite?
True
Let s be (-18)/(-3)*(-2)/(-4). Suppose -s*h = -6*h + 387. Suppose 3*b - 4*b = 2*l - h, -2*b + 2*l = -252. Is b prime?
True
Suppose 3*l = 12, 5*h - 6 = 4*h - 4*l. Let i be -2*3/h*15. Suppose -4*y = -y - i. Is y a composite number?
False
Let t be 4 - 1/3*3. Suppose -r - t*r = -8. Suppose r*o + 3*o + 307 = 4*d, -5*d + 435 = 4*o. Is d composite?
False
Let t = 3 - 3. Is (-1 - t)/(2/(-102)) a composite number?
True
Let w = 9 - -56. Is w a prime number?
False
Suppose 0 = q - 3*q - 2*s + 8, 0 = 4*s. Let m be (6/q)/((-3)/(-78)). Suppose 3*j = m + 72. Is j prime?
True
Suppose -3*c - 3*n = -126 - 78, -5*c + n + 322 = 0. Is c composite?
True
Let q(g) = -g**3 - 3*g - 3. Let c(y) be the third derivative of -y**5/60 + 3*y**4/8 - y**3/2 + y**2. Let l be c(9). Is q(l) prime?
False
Let l(z) be the second derivative of -z**5/20 - 5*z**4/12 - z**3/2 - z**2 - 5*z. Is l(-5) a prime number?
True
Suppose 0 = 5*o - 5*y - 985, 5*o = 3*y + 1009 - 20. Is o prime?
True
Let i(l) = l + 4. Let h be i(5). Let f be (h/12)/((-2)/72). Is f/(3/(-1)) + 0 a composite number?
True
Suppose 39*h = 34*h. Suppose h = -3*s - 51 + 840. Is s composite?
False
Suppose -5*o = -4 - 11. Suppose -16 = -o*s - s. Let a(p) = 3*p**2 - 3*p - 2. Is a(s) a prime number?
False
Let x(a) = -a**2 +