
Is (-2)/(2/1)*(-1738160)/80 prime?
True
Let g be (-10)/4*(-2230)/25. Suppose -4*y + 393 = -g. Suppose 2*k = y + 144. Is k a composite number?
False
Is 4229901/65 - (-24)/15 composite?
True
Let w = 43 + -41. Suppose w*n = 5*b - 336, 2*b + 3*b - 315 = -5*n. Let i = b + 49. Is i a prime number?
False
Suppose -4*g = 4*p - 3*p - 784, -p + 779 = 3*g. Let x(o) = o + 8. Let s be x(-6). Suppose 6*c - p = s*c. Is c a prime number?
True
Suppose 0*m - 4*w = 2*m - 20, -2*w = 0. Let x(f) = -102*f**2 + 14*f - 32. Let j be x(m). Is (-6)/(-14) - j/21 composite?
True
Let f(p) = p**3 + 8*p**2 - 9. Let h be f(-8). Let n(m) = 2*m**3 - 3*m**3 + 2*m**2 - 9*m - 28 - 9*m**2. Is n(h) composite?
True
Let f(l) = -2*l**3 + 13*l**2 - 6*l + 3. Let j be f(6). Suppose -j*d + 5319 = -7518. Is d composite?
True
Let m be ((-58)/1)/((6/(-48))/1). Let o = m - -39. Is o composite?
False
Let g(t) be the second derivative of -5*t**3/6 + 21*t**2/2 - 19*t. Let d be g(5). Is 717*d*3/(-36) composite?
False
Suppose -746397 - 407591 - 1879697 = -5*i. Is i a composite number?
False
Let f = -179501 + 322444. Is f a composite number?
True
Suppose 0 = 3*h + 4*b - 2439, 17*b = h + 15*b - 803. Is h a composite number?
False
Suppose 2 = -y - 0. Let f(w) = 271*w + 3. Let m be f(y). Is -1 + 2 + (-3 - m) prime?
False
Suppose 57*o = 9*o + 9840432. Is o prime?
False
Let h = -6 - 123. Let a = -129 - h. Suppose 0 = -a*l + 5*l + 10, 4*s + 2*l = 3400. Is s composite?
True
Let d(o) be the first derivative of 73*o**2 + o - 16. Let r be d(1). Suppose -u = 4*y - r, 0*y - 32 = -y - 5*u. Is y a composite number?
False
Let y(w) = 13*w + 306. Let m be y(-23). Suppose -m*u + 45324 = 29*u. Is u a prime number?
True
Suppose 0*z + 42378 = 5*z - y, 0 = -3*z + 5*y + 25418. Suppose 4*o = -3*p + z, -2*p + 1093 - 3212 = -o. Is o a prime number?
False
Let m(s) = 600*s**2 + 28*s - 487. Is m(11) prime?
True
Let k = -14728 + 22919. Suppose 5*z - k = -2*b, -z - 8*b + 7*b = -1640. Is z prime?
True
Let q be (10*3300/(-32))/((-2)/16). Suppose y + 433 = q. Is y prime?
True
Let n = 117319 - 7388. Is n a composite number?
True
Let z = 7737 + 5904. Is z composite?
True
Let a(f) = f**3 - 8*f**2 + 11*f - 67. Let d be a(10). Suppose 6*t - 2*t - 1264 = 0. Let z = d + t. Is z prime?
False
Suppose -5*d = -13*d + 240. Let y(h) = d + 28 - 61 + 151*h + 16. Is y(10) a prime number?
True
Let x be (25/50)/(2/(-40)). Let q(s) = -12*s - 6. Let w be q(x). Suppose -4*o + 162 = 2*u, 3*o - w = -4*u + 230. Is u a prime number?
True
Let z be (5/10)/((-2)/(-132)). Let l = z + -32. Is (l + 1)*1157/26 a composite number?
False
Let i(d) = -251*d - 55. Let p be i(-22). Is 4*(-5)/(-5) + p a prime number?
True
Let k(b) = 5*b**2 + 153*b + 117. Let w be k(-48). Let x = 3004 + w. Is x a prime number?
True
Suppose -633*q + 629*q - 5*l + 25524 = 0, -q + 3*l = -6347. Is q a prime number?
False
Is (-1)/((-9)/6*(-2)/(-4531107)) prime?
False
Suppose v - 6*v - 15 = 2*g, -3 = v. Suppose g = -f + 2312 + 3572. Suppose -26*r + f = -22*r. Is r composite?
False
Suppose 34*v + 286600 = 2745582. Is v composite?
True
Let l = 44 + -65. Let q be (-2)/(-7) - ((-31050)/l)/(-5). Let b = q - -150. Is b a prime number?
False
Suppose -13674 = -30*t + 8796. Let f = -408 + t. Is f composite?
True
Is 2*(-148663)/6*-9 prime?
False
Let y(z) = z**2 - 9*z - 10. Let d be y(11). Suppose -d*k + 9*k - 4173 = 0. Let m = 2538 + k. Is m prime?
False
Let k(h) be the third derivative of -h**6/120 + 11*h**5/60 + 7*h**4/6 - 17*h**3/6 + 13*h**2. Let s be k(13). Suppose 7 + 56 = s*p. Is p a prime number?
True
Let d(k) = 1247*k - 153. Let g be d(5). Let t = g + -3133. Is t a prime number?
False
Let c(h) = 4*h**3 - 19*h**2 - 30*h + 67. Is c(30) a composite number?
False
Let p(h) = h**2 + 2*h + 28. Suppose 4*f + 0*b = 3*b + 46, 0 = -5*b + 10. Is p(f) a composite number?
False
Is ((-3)/(-8))/(-1) - (-1647691)/136 composite?
True
Let o(b) = 103*b**2 + 9*b + 75. Let a be o(-27). Suppose -68*y + 17*y = -a. Is y a composite number?
True
Suppose -5*r = -2*w - 1766245 + 438404, 0 = -2*r - 2*w + 531128. Is r a prime number?
True
Let m(i) = 24*i**2 - 27*i - 17. Let r(y) = 26*y**2 - 27*y - 17. Let w(v) = -3*m(v) + 4*r(v). Is w(12) a composite number?
True
Suppose 4*p - 31522 = -2*d, p - 149 = -150. Is d prime?
False
Let x(w) = 2*w**2 + 375*w**3 + 7 + 74*w**3 - 7*w + 0*w**2. Is x(2) composite?
False
Let h(t) be the second derivative of 78*t**5/5 + 5*t**4/12 - t**3/6 - 7*t**2/2 - 42*t. Is h(5) a prime number?
True
Suppose 6*o - 14705 = 17803. Let b = -13 - -18. Suppose 0 = 2*l - x + 5*x - o, 3*x - 13531 = -b*l. Is l composite?
True
Is 113227/(((-2)/18)/(12/(-108))) composite?
False
Let s be -6*-1*(-3)/(-9). Let b(v) = 591*v**2 - 6*v + 7. Is b(s) a composite number?
True
Let l = -54 + 50. Let s be 3*-1 - ((-8 - -5) + l). Is (-5)/(s - -1) - -648 prime?
True
Let y = 279 - 284. Let h(i) = -827*i - 18. Is h(y) a prime number?
False
Let b(v) = 335*v**2 - 151*v - 4591. Is b(-27) composite?
False
Let d(u) = -3*u**3 - 248*u**2 + 161*u - 3. Is d(-85) a composite number?
False
Is (36/(-12) - (0 - 1))*(-215637)/6 prime?
True
Let q = 103 - 53. Suppose 45*i - q*i = 0. Let d(b) = 3*b + 1019. Is d(i) prime?
True
Let v be (1/(-5))/((-16)/304)*4055. Let o = 31316 - v. Is o composite?
False
Suppose 12 = -j - 5*y, 5*j - y - 30 + 12 = 0. Suppose -6*h = -j*h - 24. Is 2/((-24)/(-9)) + 3986/h prime?
True
Let i(k) = -k**3 - 6*k**2 + 2. Let q be i(-6). Suppose -5*d = 5*l - 70500, -q*d + 2*l - 7727 = -35907. Is d prime?
False
Let x = -29 - -41. Let h be (-3)/x + (-1018)/(-8). Suppose 3*n = 2828 + h. Is n a composite number?
True
Let j = 2008 - 3518. Let m(f) = 49*f - 222. Let q be m(49). Let t = q + j. Is t a prime number?
False
Suppose -51*y - 77358108 = -187*y + 31009276. Is y composite?
False
Let l be -2517*((-32)/6 - -3). Suppose 0 = 4*n - l + 1905. Suppose -4*a - 1032 = -4*u, 4*u - n = -4*a - 0*a. Is u prime?
False
Let r = -6565 - -4218. Let g be 1 + -1 + 1 - r. Is (-1)/((-12)/g)*3 a composite number?
False
Let m = 2 - -3. Let c = -401 - -796. Suppose -c = -2*w - 5*o - 6, m*o = 4*w - 733. Is w composite?
True
Let k = 44848 + 23107. Is k a prime number?
False
Let l = -4 + 7. Let c be (-15)/15*6*-1. Suppose -l*v = 2*j - 102, -c*v + 4*v - 153 = -3*j. Is j composite?
True
Let v = 1907549 - 818092. Is v composite?
False
Let h be 310/(-4)*8/10. Let d = 13 + 104. Let q = h + d. Is q a composite number?
True
Suppose 4*k = 27 + 17. Let g(f) = 2 - f**2 + 2*f + 11*f - 5 + 0*f**2. Is g(k) prime?
True
Let g(a) = 3*a**3 + a**2 - 7*a. Suppose 15 + 1 = c. Let b = c + -11. Is g(b) composite?
True
Let u(p) = -553*p + 2 - 27 + 771*p. Is u(13) composite?
True
Suppose 9 = 5*i + 9. Suppose -1042*t + 1036*t + 2466 = i. Is t a prime number?
False
Suppose 7*n - 558698 = 227192. Suppose 50*o + n = 60*o. Is o a composite number?
True
Let c(m) = -m**2 + 8*m + 2. Let q be c(8). Let t = -451 + 1452. Suppose -4*g + t = 3*z - q*g, -z + 335 = g. Is z a prime number?
True
Let c be 16503 + (-12 - -7) + (-15)/(-3). Suppose 9*r - 28506 = c. Is r prime?
False
Suppose -4*g + 2*x - 6*x - 3112 = 0, 4*x = -2*g - 1558. Let d be -4 + g*2/(-3). Suppose -5*j = -421 - d. Is j prime?
False
Suppose -60*v = -22*v + 2*v - 973240. Is v a prime number?
False
Let s = 506 - 1393. Let f be s/(-7) - 10/(-35). Suppose -c - 100 - f = -u, -2*u - 2*c = -450. Is u a composite number?
True
Is (494/741)/(4/996906) a prime number?
True
Let w(m) = m**3 - 4*m**2 + 24*m + 5. Let b be w(6). Let r = b + -332. Let i = -34 - r. Is i a prime number?
False
Suppose -2902 = 177*j - 179*j. Suppose 2569 = 20*d - j. Is d prime?
False
Is 18020411/705 - (-8)/60 composite?
False
Suppose 0 = 2*y - y - 56. Let i(q) = -118*q - y*q - 58*q + 5. Is i(-2) a composite number?
True
Suppose 0 = -4*i - 2*x + 30, -3*x + 2*x - 5 = -2*i. Suppose 9450 = i*a + 5*g, 2*g + 1390 = a - 497. Is a prime?
True
Let r(o) = 112*o**2 - 92*o - 11. Is r(12) a prime number?
True
Suppose -g + 8146 = -4*l, 2*l - g - 6106 = 5*l. Let f(v) = 3*v**2 + 3*v - 172. Let o be f(-9). Is (4 + o/(-8))*l/6 composite?
False
Let i(g) = -g. Let a(z) = -9*z + 185. Let v(p) = a(p) - 6*i(p). Let k(n) = -n + 3. Let r be k(3). Is v(r) a composite number?
True
Suppose 3*t = -3*a + 137848 + 82769, -t - 4 = 0. Is a composite?
True
Let z = 4048 + -1655. Is z composite?
Fal