e -3*b = -1247 - l. Is b a prime number?
False
Is 41566 - (-1 + -54)/(-5) composite?
True
Suppose 2*m - 2870 = -224. Is 0 + (-6)/(-24) + m/4 prime?
True
Let t be 3 - (28/5 - 6/(-15)). Is (-1706 + t)*(0 + -1 - 0) a composite number?
False
Let b = 363 - -233. Suppose 0 = -3*i + b + 109. Is i a composite number?
True
Suppose 0 = -12*p + 7*p - 10. Let l(f) = -1878*f + 5. Is l(p) a prime number?
True
Suppose 3*i + 2*j - 22 = 0, 3*i + 4*j = 2*i + 4. Is ((-24)/(-48))/(1/i) a prime number?
False
Let a = -1344 - -4253. Is a prime?
True
Let j = -14411 + 24582. Is j composite?
True
Let r be 1734 + 2/((-12)/6). Let q = -1232 + r. Is q prime?
False
Let o be (-1714)/3 - (-14)/(-21). Let q = o - -1317. Is q composite?
True
Suppose 2*u - 18 = -7*u. Suppose y - g = -u*y + 1432, -g + 1921 = 4*y. Is y a prime number?
True
Let l(u) be the third derivative of u**6/144 - u**5/30 - u**4/6 + 2*u**2. Let h(g) be the second derivative of l(g). Is h(5) a prime number?
False
Let l be ((-7644)/36)/(1/(-3)). Suppose -5*h + 0*i = 5*i - 1065, l = 3*h + 2*i. Is h a prime number?
True
Let l = 905 + 534. Suppose 11*q - 2444 - l = 0. Is q a composite number?
False
Suppose 0 = -5*d - 5*p + 50, -3*p + 2*p + 49 = 4*d. Suppose 3*w = -5 - d. Let y(r) = 2*r**2 + 5*r - 5. Is y(w) a prime number?
True
Suppose -145259 = -81*a + 146908. Is a composite?
False
Let n(f) = -44*f - 3. Let h(m) = 89*m + 7. Let g(s) = 2*h(s) + 5*n(s). Let c be g(-2). Suppose -5*q + c = -92. Is q a composite number?
True
Let a = -5176 - -9663. Is a prime?
False
Suppose 4*z - 12968 = 3*s - 34327, -14238 = -2*s + 4*z. Is s a composite number?
False
Let c(x) = 2*x**2 + 5*x - 45. Is c(-23) composite?
True
Let q = 56 - 51. Suppose -1038 = -2*j - 4*g, 0*j + j - q*g = 554. Is j composite?
True
Is 3175 - 3 - 117/13 a prime number?
True
Let c(m) = 332*m**2 - 6*m - 4. Is c(5) composite?
True
Suppose 54*p - 50*p - 1924 = 0. Is p prime?
False
Suppose 3*s - 2 = -5. Is s/(-4) + (-30195)/(-36) composite?
False
Is ((-11733)/9 - 1)*21/(-14) a prime number?
False
Is 9 - (-8 - (-4 + 310)) prime?
False
Let h = 2286 + 1423. Is h prime?
True
Let a = 3 - 6. Is (a/6)/(7/(-1778)) a composite number?
False
Suppose 82878 = 3*m + b, -3*m = -3*b + 8*b - 82866. Is m prime?
False
Let u(p) = 31*p + 21. Let y(q) = -q**2 - 2*q - 2. Let o be y(0). Let m(t) = 6*t + 4. Let i(a) = o*u(a) + 11*m(a). Is i(3) prime?
False
Let z(s) = -92637*s - 28. Is z(-1) prime?
False
Is 172812/18 + (-9)/(-27) a prime number?
True
Let q(i) be the first derivative of -i**5/20 - i**4/12 - 4*i**3/3 - 7*i**2/2 - 5*i - 3. Let d(p) be the first derivative of q(p). Is d(-8) a composite number?
True
Let w(z) = -1025*z - 83. Is w(-5) a composite number?
True
Let u(o) = -5*o**2 - o. Let q be u(1). Let l(g) = -g**3 - 5*g**2 + 5*g - 4. Let y be l(q). Suppose -676 = 2*x + y*m - 1944, x - 638 = 3*m. Is x a prime number?
False
Let n(s) = s + 32. Let a be n(-14). Let z(o) = 158*o + 17. Is z(a) composite?
False
Let k = -1060 + 2016. Suppose -3*p + k = p. Is p prime?
True
Let z be (-1)/(-2) - 38/(-4). Let s(a) = 3*a + z*a**2 + 5 - 4*a - 7*a. Is s(9) prime?
True
Let t(o) = o**3 + 30*o**2 - 6*o + 59. Is t(-24) composite?
False
Is (-1232348)/(-286) - (-2)/22 a prime number?
False
Let b(m) = 9*m**2 + 6*m + 7. Suppose 26 - 1 = 4*c - t, -c = 2*t - 4. Let a be -3*4/18*c. Is b(a) composite?
False
Let t be (-6)/(((-9)/2)/(-3)). Let h(w) = 30*w**2 - 5*w - 1. Is h(t) prime?
True
Let r be (-2)/(-4)*1912 - -1. Let v = r - 370. Is v composite?
False
Is (-21)/28*(-298632)/18 composite?
True
Let m(p) = -p**3 - p**2 - p + 683. Suppose 5*v - 3*t = 0, -3*t = t. Is m(v) a prime number?
True
Let h(y) = 52*y**2 - 2*y - 2. Let t be h(-1). Suppose -p + 0*f - 3*f = -t, 142 = 3*p + 2*f. Is p a prime number?
False
Suppose -102462 = -4*u - 9*j + 7*j, 0 = 5*u - j - 128060. Is u a composite number?
True
Is (1/1)/((30/(-82465))/(-6)) composite?
False
Let s be (4 + -1)*(13 + -12). Suppose -s*c + 769 + 116 = 0. Is c prime?
False
Let r = 77 + -21. Let q = r - 19. Suppose -2*n = -n - q. Is n a prime number?
True
Suppose -4*u + 28300 = 16*u. Is u a prime number?
False
Suppose 4*q + 4*p = -0*p, 3*q = -5*p - 4. Suppose -2*v + 4*i + 43 = -v, q*v - 3*i - 96 = 0. Is v a prime number?
False
Let w(q) = 890*q + 17. Let r(p) = 297*p + 6. Let d(m) = -17*r(m) + 6*w(m). Is d(1) a composite number?
True
Let x(i) = -i**3 - 7*i**2 + 6*i - 7. Let p be x(-8). Let c = -9 + p. Suppose c = g - 6*g + 445. Is g composite?
False
Let a(m) = -58*m**3 + m**2 - 12. Is a(-3) a composite number?
True
Suppose u - 10 = -u. Let w(j) = 31*j**2 + 9*j - 11. Is w(u) a composite number?
False
Suppose 5*z - 26 = -16. Suppose -3*m + h = -1039 - 1038, -3*m = -z*h - 2081. Is m prime?
True
Suppose 68301 = 3*c - 4*v, 20*c + 22767 = 21*c - 4*v. Is c prime?
False
Let l(r) = -r**2 + 11*r + 8. Let x be l(11). Suppose s - 5*v + 13 = -0*v, -4*v = s - 23. Suppose -s*o - 127 = -x*o. Is o prime?
True
Suppose -2*n + 4 = 0, -n = -5*g - 3*n + 36969. Is g prime?
True
Is (-70)/25*(-37780)/8 a composite number?
True
Let d(v) = v**2 - v + 2. Let o be d(0). Is (o*(-1)/4)/((-13)/32630) prime?
False
Suppose -16 = z + w - 5*w, 2*w = 5*z + 8. Suppose 4*h - 1226 - 214 = z. Suppose -34 = 2*i - h. Is i composite?
False
Suppose 12*g - 1045 - 383 = 0. Is g composite?
True
Suppose -69*l - 2*w = -66*l - 16499, l + 5*w - 5517 = 0. Is l composite?
True
Suppose 128466 = 6*w - 2*w - 2*s, 0 = w - 5*s - 32112. Is w a composite number?
False
Suppose 0 = -t - 4*t + 5195. Is t a composite number?
False
Suppose 0 = 4*p + 9 - 1. Let b(k) = -4*k**2 + 7*k + 3. Let l(i) = 9*i**2 - 15*i - 6. Let s(r) = p*l(r) - 5*b(r). Is s(-4) a composite number?
True
Let x = 2516 - 1239. Is x a composite number?
False
Suppose 2*t + 3*u + 4 = -20, -12 = 4*t - 3*u. Is -10*729/t - 2 composite?
False
Let v = 35 + -31. Suppose -v*n - 164 = -4*k, k - 5*n = 4*k - 107. Is k a prime number?
False
Let b be (-12)/(-7)*(30/5 - -1). Is (-1947)/(-4) - (-3)/b composite?
False
Suppose -2*f = 2*f - 15328. Let r = f + -2200. Let q = r + -743. Is q composite?
True
Suppose 2*b = -0*b + 19606. Is b prime?
True
Let x = 7235 + -2104. Is x composite?
True
Suppose 4 = 2*v, -3*v + 2162 = 4*r - 4*v. Is r prime?
True
Let n = 336 - 54. Let w = n + -33. Is w prime?
False
Let s(f) = -4*f**3 + 7*f**2 + 7*f - 7. Is s(-5) composite?
True
Suppose 0*h - 4*h = 256. Let n = h + 26. Let u = n - -243. Is u composite?
True
Let u(z) be the first derivative of -z**3/3 + 69*z - 9. Is u(0) a composite number?
True
Suppose 3*f - 3*q - 2*q = 98, -4*q = -20. Suppose -5*r - f = -2*j + 24, r - 1 = 0. Is j composite?
True
Suppose -10*c + 12*c + 1890 = 0. Let b = c - -1354. Is b prime?
True
Let w be (6/5)/((-1)/(-5)). Suppose -2*d - 4*s = -0 + w, -5*d + 15 = 4*s. Suppose d*g - 4*g = 201. Is g composite?
False
Is (-48)/(-6) + 307935/9 a prime number?
False
Let z = 205 - 552. Let d = 372 - z. Is d composite?
False
Let y(l) = 19*l + 761. Is y(20) a composite number?
True
Let x = 98684 - 44433. Is x a composite number?
False
Suppose -5 = -2*g + 3. Suppose -w - 2*j = -165, -6 = -5*j + g. Is w composite?
True
Is (-1187)/1*(12 - 13) a composite number?
False
Suppose -5*m = -3*l + 476, 0 = -0*l + 2*l + 3*m - 311. Is l a composite number?
False
Let w = -14 + -4. Let g be (-9)/w + (-34)/4. Let d(t) = -36*t + 5. Is d(g) prime?
True
Suppose -2*k + 64 = -3*h, 2*k + 34 = -4*h - 28. Let z = 136 + 73. Let l = z + h. Is l a prime number?
True
Let x(f) = -2*f - 25. Let y be x(-13). Is (58 - y) + 15/15 a composite number?
True
Let t(a) = 61*a**2 - 3*a + 1. Is t(6) prime?
True
Suppose -147*m = -146*m - 2039. Is m composite?
False
Let i(p) = -16810*p**3 + 7*p**2 + 5*p - 1. Is i(-1) a prime number?
True
Is (1 - 4730)*(2 - 3) prime?
True
Let g be ((-54)/(-12))/(-9) + (-11)/(-2). Is 5/(g - (-1470)/(-295)) prime?
False
Let h(a) = 1141*a - 110. Is h(9) prime?
True
Suppose -4*l + 0*l = -12, 4*x - 35 = -5*l. Suppose -y + 2*h + 13 = 2*y, 0 = 4*y - x*h - 22. Is (-4 + y)/(1/(-337)) a composite number?
False
Let y = 13429 - 8250. Is y prime?
True
Let v(a) = -856*a - 27. Is v(-4) prime?
False
Let p be ((-20)/16)/((-1)/17564). Is -2*p/30*-3 a composite number?
False
Is (-5)/(-30)*178*57 a composite number?
True
Is (-4 + 6)*(2 + 5823/6) composite?
True
Let y = 383 + -117. Suppose -3*r = -w + y, 0 = -3