
Let p be (-12)/21 - (-1096)/7. Suppose u - 29 = p. Is u a composite number?
True
Let u be 95/(3*(-2)/(-102)). Suppose -4*s + 61 = -u. Is s a composite number?
False
Let i = 7 + -4. Let c be 4/14 + (-36)/(-21). Suppose c*z - 39 = i. Is z composite?
True
Suppose -5*g = 378 - 8. Let m = g - -177. Is m a composite number?
False
Let x be 117/45 - (-6)/(-10). Suppose 4*d + 25 = 5, 5*l - x*d - 815 = 0. Is l a composite number?
True
Suppose 0 = v - 2*v + 5*a + 121, 3*v = 5*a + 383. Is v a composite number?
False
Suppose -3*w + 4 = -8. Suppose 270 = w*f - 326. Is f prime?
True
Suppose -3*v + 401 = 4*c, c - 5*v - 94 - 35 = 0. Let z = 179 - c. Suppose 0 = -0*r - 5*r + z. Is r composite?
True
Suppose -101 = -2*r + 153. Let p = 110 + r. Is p/4 - 7/28 a composite number?
False
Suppose -2*t + 595 = 3*t. Suppose 5*k - 66 = t. Is k prime?
True
Is (1 + -5)*434/(-8) composite?
True
Suppose -p - p = -4*v + 628, 0 = -2*v + 5*p + 330. Is v prime?
False
Suppose -3*j - 1442 = -8*j - 3*d, 0 = -3*j - 3*d + 864. Suppose -915 = -4*n - k + j, 4*k - 316 = -n. Is (2/3)/(8/n) a composite number?
True
Let b be ((-4)/(-5))/((-1)/(-10)). Let u = -51 - -78. Let d = u + b. Is d prime?
False
Let k(w) be the third derivative of w**7/840 - w**6/72 - w**5/60 - w**4/24 + w**3/3 - w**2. Let v(s) be the first derivative of k(s). Is v(6) composite?
False
Suppose z - 4445 = -2*a, 22213 = 6*z - z + 4*a. Is z a prime number?
True
Let g = 1151 - 685. Is 4 - g*(-3)/6 a prime number?
False
Suppose 0 = 2*z - 355 - 63. Is z prime?
False
Suppose 2*f = 98 + 1076. Is f a prime number?
True
Let f = 206 - -71. Let z = f - 180. Is z a composite number?
False
Let n(t) = -t**3 - 4*t**2 - 4*t - 1. Let k be n(-3). Let u(q) = -4*q - 2*q - 6*q**2 + 7 - q**3 + k*q. Is u(-5) prime?
True
Let l(d) = -5*d**3 - 4*d**2 - 2. Is l(-3) composite?
False
Let c(k) = k**3 - 9*k**2 + 7*k + 5. Suppose 0 = 5*g + 5*y - 65, -3*y + 3 - 4 = -2*g. Let i be c(g). Let h = i + 40. Is h a composite number?
False
Let z = -1 - -3. Suppose 202 + 26 = 2*o + z*v, -4*o + 450 = -2*v. Is o a composite number?
False
Suppose -g + 10 = g. Let o(a) = -2*a + 2. Let x be o(g). Is (2 + x)*17/(-2) composite?
True
Is 22/(-143) - (-1003)/13 a prime number?
False
Suppose -6 = -i - 4*i + 2*g, -5*g - 15 = -5*i. Suppose b - 4*b + 99 = i. Is b prime?
False
Let m = 0 + 1. Let q be (-2)/(15/9 - m). Let n(i) = i**2 - 4*i. Is n(q) prime?
False
Let r(i) = -268*i + 23. Is r(-12) prime?
False
Suppose 2*c = -4*u + 24, 0*c + 28 = 2*u + 5*c. Suppose -b + u*b + 10 = -4*d, 2*b - 5*d = 24. Suppose -267 = -o - b*o. Is o a prime number?
True
Let t be (-6 + 48)*(-2 + 0). Let o = -1 + t. Let z = 148 - o. Is z a composite number?
False
Suppose -4*n = b - 9*n - 25, 5*n = -5*b + 5. Suppose 3*s + 76 = 2*d + b, -s = 5*d - 220. Is d a composite number?
False
Let w be (-206*(-3 - -4))/(-2). Let h = w - -58. Is h composite?
True
Suppose -4*j + 1501 = -287. Is j a composite number?
True
Let j(f) be the first derivative of -1/2*f**2 + 3*f + 2. Is j(-4) prime?
True
Suppose -1949 = -g - 0*g. Is g a prime number?
True
Suppose -4*k = -5*u + 25, -3*k = -u - 6*k - 14. Suppose -2*r + 5 = -r. Let z = r + u. Is z a prime number?
False
Let m(w) = 2*w**2 + 3*w. Let k be m(-2). Let x(j) = -2*j + 4. Let b be x(0). Suppose 0 = -b*a, k*p + 12 = 2*a + 42. Is p a composite number?
True
Let d be 4/12*3*786. Suppose 0*y - 6*y = -d. Is y prime?
True
Is 42/(-70) + (-2678)/(-5) composite?
True
Suppose 0*y + 2*y + 16 = 0. Is 74/y*(-16)/4 prime?
True
Let y(v) = -2*v**3 + 2*v**2 - 7*v + 7. Let g be y(-6). Let r = g + -290. Is r composite?
False
Suppose -3*b - b + 4 = 4*d, b - 2*d = 4. Suppose -2*h + 3*x - b*x + 44 = 0, 0 = -5*h - 4*x + 84. Let k = 87 - h. Is k prime?
True
Suppose 0 = 5*s - 0*u + 5*u - 195, 2*u + 122 = 3*s. Suppose f - s = -9. Is f composite?
False
Let n(f) be the second derivative of -f**4/12 + 4*f**3/3 + 3*f**2 + 11*f. Let m = 14 - 9. Is n(m) a composite number?
True
Let j be (-4 - (0 + -9)) + 2. Let t(b) = 44*b - 1. Is t(j) composite?
False
Let t(a) = 114*a - 3. Is t(1) a prime number?
False
Suppose 5*s = s + 652. Is s a composite number?
False
Let b = 218 + 75. Is b a prime number?
True
Is ((-1462)/68)/((-2)/8) composite?
True
Let i(h) = h**3 - 7*h**2 + 5*h - 7. Let u be i(9). Suppose v = 3*k - u, k - 2*v = 5*k - 250. Is k a composite number?
True
Suppose 3*t - o - 3378 = 2*o, 5*t = -4*o + 5585. Is t composite?
True
Let c = 159 + 312. Is c a composite number?
True
Let s be ((-2)/3)/((-2)/3). Is 435/s*2/6 composite?
True
Let o = 204 + 1949. Is o prime?
True
Let g(y) = 59*y**2 + y - 2. Let h be g(3). Suppose -3*u = u - h. Is u prime?
False
Is 2/10 - (-24201)/45 a composite number?
True
Suppose 0*n = 5*n - 5695. Is n a prime number?
False
Suppose 0 = -6*k + 3*k + 1401. Is k prime?
True
Is ((-1102)/6)/((-6)/18) prime?
False
Suppose 3*m - 18 - 3 = -2*t, 4*t - 33 = -3*m. Is ((-2)/t)/(4/(-372)) a composite number?
False
Suppose -4*h - 112 = -956. Is h composite?
False
Suppose 5*g = 1289 + 776. Is g a composite number?
True
Is (-1)/((-1)/(-2))*(-796)/8 prime?
True
Let p = -7 + 9. Suppose p*k = k. Suppose k = 5*g + 3*f - 351, 0 = 3*f + 2*f - 10. Is g a composite number?
True
Let t be 32/(-12)*(-3)/(-2). Is (t + 3)*(-293 - 0) a prime number?
True
Let c(v) = v + 74. Let d be c(0). Suppose -f = -4*f + 3. Is (d/2)/(2 - f) a composite number?
False
Let b = 349 - -129. Is b a prime number?
False
Is 370 + (-9)/6*-2 prime?
True
Suppose -5*u + 6 = -l, -l - l + 8 = 0. Suppose -2 = u*r - 72. Is r a composite number?
True
Let y = 43 + 514. Is y composite?
False
Suppose 0 = -9*d + 4510 + 2663. Is d composite?
False
Suppose 0 = 4*n - n - 6. Let m(a) = -10*a**n - 9*a + 3*a**3 - a**3 - 3*a**3 - 11. Is m(-10) a composite number?
False
Let z = 0 - -4. Let s be (2 - z)/((-2)/(-13)). Let v = -2 - s. Is v prime?
True
Suppose b - 544 = -4*m - 4*b, 0 = -3*b + 12. Is m composite?
False
Suppose 44*t = 42*t + 3314. Is t composite?
False
Is 16242/4*(-6)/(-9) composite?
False
Let r = 273 - 178. Is r a prime number?
False
Suppose b + 3*b = 764. Is b composite?
False
Suppose -7*s + 12 = -9. Is 50 + (-3 - s/3) a composite number?
True
Let m(v) be the first derivative of 2*v**2 - v + 2. Let p be m(-1). Is p + 3 - 21/(-1) a prime number?
True
Suppose -4*y + 296 = 5*o - 21, 5*o = y - 48. Let r = y - 36. Is r a prime number?
True
Let q be (-3)/(6/(-8)*2). Suppose -s - 2*b = -29, -3*s = -0*s + q*b - 103. Is s composite?
False
Let l be 1*5 - (-33)/(-11). Suppose l*b - 3*b = -53. Is b a composite number?
False
Let o = -1 + -6. Let n = o + 11. Suppose -2*b + n*b - 38 = 0. Is b composite?
False
Suppose -4*l + 8*l = 356. Is l composite?
False
Is (-2)/4*3518*-1 composite?
False
Suppose 2*k = u - 6*u + 265, 120 = 2*u - 2*k. Suppose 0 = r + 4*r - u. Is r composite?
False
Let o(x) be the second derivative of -x**3/6 + 21*x**2/2 - 3*x. Is o(0) composite?
True
Let m be 9*(42/(-9) + 2). Is (368/m)/(4/(-6)) composite?
False
Let q(f) = f**3 - 4*f**2 + f - 4. Let o be q(4). Suppose -4*g + 112 = 3*r, -3*g - r - 2*r + 81 = o. Is g a composite number?
False
Let c be (-27)/(-4) - 1/(-4). Is (-10)/35 - (-219)/c prime?
True
Let t(h) = -h**2 + 7*h - 2. Let a be (-38)/(-12) + 1/(-6). Is t(a) prime?
False
Is 331*3/(-9)*-3 a composite number?
False
Let m(c) = c**3 - 2*c**2 - c - 1. Let z be m(-2). Let b be z*2*2/4. Let i = -1 - b. Is i composite?
True
Let f be (-2)/2*(-25)/5. Suppose f*d - 525 = -0*d. Suppose -5*x + 4*y + d = 0, -y = 4*y. Is x prime?
False
Suppose k - 4*c = -6, 18 + 0 = 5*k + 4*c. Suppose 5 + 113 = k*x. Is x composite?
False
Suppose 3*o - 3*y = 0, -2*o - 2*y = 3*y - 14. Suppose -o*b = 2*b. Suppose -4*s = 4*n - 228, b*s + 102 = 2*s - n. Is s composite?
False
Let x(d) = d**2 - 5*d - 10. Let b be x(7). Suppose -316 = -b*z - 0*z. Is z prime?
True
Suppose 0*h + 1071 = 5*h - 4*a, -2*a = 2*h - 414. Is h composite?
False
Let r(l) = -l - 10. Let o be r(-10). Suppose 0 = -o*v - 2*v + 66. Is v a composite number?
True
Suppose -z - 4 - 1 = 0. Is 24 - ((-1 - z) + -2) a prime number?
False
Suppose -l + 0*l + 20 = 0. Let i = l - -3. Is i prime?
True
Let g(a) = -a**3 - 4*a**2 + 5*a + 5. Let d be g(-5). Suppose 0 = -d*j - 51 + 236. Is j composite?
False
Let z(h) be the first derivative of 45*h**2/2 - 8*h - 5. Is z(7) a composite number?
False
Let f(