Is p composite?
True
Suppose -162 = 2*a + 2*f, -5*f + 3*f + 90 = -a. Let w = 31 - a. Is w prime?
False
Is (-4 + 3)/((5/(-694))/5) a composite number?
True
Let c(u) = -4*u**3 + 33*u**2 + 11*u + 5. Is c(-11) a prime number?
False
Let b be 5/2*(48/15)/4. Is (-6 - -1) + b + 739 + 7 prime?
True
Let t be 2 + (-3 - -3) + 3. Suppose -t*m + 49 = -361. Is m composite?
True
Suppose -5*n - 15 = 5*o - 55, 20 = 5*n. Suppose 0 = -o*h - 3*m + 2717, -2*h - 2727 = -6*h - m. Is h a prime number?
True
Suppose -10 = 4*d + 2. Let i(s) = 93*s**2 - s - 2. Let f(h) = -h**2. Let j(a) = d*f(a) + i(a). Is j(-1) composite?
True
Suppose -5*g = -b - 2*g - 91, 0 = 3*b - 4*g + 248. Let r = b + 53. Let s = r + 150. Is s a prime number?
True
Let g be 933 + (-2)/1 - 2. Let r = g - -346. Suppose 3*m - 259 = -q - 0*m, 0 = 5*q + 5*m - r. Is q a composite number?
True
Let y(r) = 1437*r + 23. Is y(2) composite?
False
Let x be 7628/6 + (-23)/69. Suppose 7957 - x = 2*z. Is z a composite number?
False
Suppose 0 = -r + 2*b + 4 - 2, 0 = -b - 4. Let j be 111*(12/(-30) - 14/15). Is j/r + 3/9 a prime number?
False
Let w = -16 + 65. Let r = 30 + w. Is r prime?
True
Suppose -7*q + 4*q = -3*k + 45303, -3*k = -5*q - 45303. Is k a prime number?
True
Suppose 0*u + 2*u - 26 = 5*p, 2*u = 4*p + 22. Suppose u*l + 474 - 1727 = -s, 4*l + 3798 = 3*s. Is s composite?
True
Suppose -6*l - 55287 = -15*l. Is l a composite number?
False
Let j = 66 - 308. Is j/(-4)*(8 + 0) - 3 a prime number?
False
Suppose 0*n + 12143 = n. Is n a composite number?
False
Suppose -6*m - g = -5*m - 1516, 4*g = -2*m + 3042. Is m a prime number?
True
Let i(t) = -38*t + 5. Let z = 17 - 15. Let s be z/3 - 88/24. Is i(s) a composite number?
True
Let d = 152 + -96. Let o be (d/(-12))/((-4)/18). Is 611/3 + (-14)/o a prime number?
False
Suppose -u + 6*u - 116135 = -4*j, 0 = j + 2*u - 29033. Is j prime?
False
Suppose -7*z = -2*s - 11*z + 2186, -4*z + 12 = 0. Is s a composite number?
False
Suppose -2*x - 2*g + 4382 = 0, -3*x - 4*g = -455 - 6118. Is x prime?
False
Let o(r) = 3424*r**2 - r + 2. Is o(-1) a composite number?
True
Suppose 275 + 3076 = 3*h. Is h composite?
False
Suppose 2*m - 140 = -5*n, 0*n = -m - 3*n + 70. Suppose -69*z + m*z = 293. Is z a composite number?
False
Let l = 392 + -94. Let a = l - 213. Is a prime?
False
Let v(r) = -r**2 + 15*r + 20. Let l be v(16). Suppose 2*w + 3*y - 2771 = 0, 9*w + 2*y = l*w + 6955. Is w prime?
False
Let f(p) be the first derivative of 99*p**2 + 5*p - 25. Is f(1) a composite number?
True
Let g = 1448 + 133. Suppose 4*z + g = 7*z. Is z a composite number?
True
Let j = -1396 + 1381. Let d(q) = -23*q**2 - q**3 - 16*q - 20 - 3*q + 8*q**2. Is d(j) a prime number?
False
Suppose -131*u + 42710 = -121*u. Is u a composite number?
False
Let x = -3791 - -6694. Is x prime?
True
Let s be (3/(-6))/((-2)/(-392)). Let t be (s/42)/((-1)/(-15)). Is 5 - (4 + -3) - t prime?
False
Suppose 85*z - 83*z = 3742. Is z a composite number?
False
Suppose 2*u - 57688 = -2*f + 36688, -u = 1. Is f prime?
True
Let q = -10612 + 16049. Is q a prime number?
True
Let d = -8108 - -13027. Suppose 7*m + d = 8*m. Is m a composite number?
False
Is ((-10)/(-15))/((20/31566)/5) prime?
True
Suppose -6*t + 2*t - 68 = 0. Let u = -19 - t. Is 2 - (u + 2) - -51 a prime number?
True
Let j be (2/6)/(6/(-72)). Let z(w) be the first derivative of -41*w**2 + 3*w - 5. Is z(j) a prime number?
True
Let l be (-8)/10 - (-6740)/50. Suppose 4*u = -n + 709, -l - 1290 = -2*n - 2*u. Suppose n = 2*m - 329. Is m composite?
False
Suppose -5*x - 11273 = -85678. Is x a composite number?
True
Let z be 36/(-16)*1*-4. Suppose 4873 = z*a + 1840. Is a a composite number?
False
Let r = 6924 + 253. Is r a composite number?
False
Suppose 5*n + 13 + 27 = 5*y, 2*y - 28 = 4*n. Let c(k) be the third derivative of -k**4/8 - 5*k**3/2 + 10*k**2. Is c(n) prime?
True
Let j(y) = 10221*y**2 + 5*y - 3. Is j(-1) a composite number?
True
Suppose 5*r - o = 2495, 14*o - 10*o - 1996 = -4*r. Is r a composite number?
False
Let k(p) = p**3 - 6*p**2 - 4*p - 21. Let r be k(7). Suppose r*m - m + 5*l + 79 = 0, m - 2*l = 79. Is m prime?
True
Is 2/(-9) + (-38)/(-9) + 13767 composite?
True
Let w(x) = 47775*x**2 + 2*x + 4. Is w(-1) a prime number?
True
Suppose -u - 2*c + 92 = 2*c, -3*u = 3*c - 303. Suppose -37 - u = -3*q. Is q a prime number?
True
Suppose 293 - 9185 = -o + 5*m, 0 = -4*o + 2*m + 35532. Is o a composite number?
True
Let x = -1781 - -2986. Suppose 5*q - x = 3705. Is q prime?
False
Suppose -1000 = y - 3*y + t, -4*y + 4*t + 2004 = 0. Suppose -y - 631 = -2*m. Is m composite?
True
Let d be (748/6)/(2/6). Let p = 9 + d. Suppose -3*m = -12, -7*x + 3*m + p = -2*x. Is x a composite number?
False
Suppose 5*r = d - 4*d + 172, 2*r - 2*d = 56. Suppose -3*j + 748 = -5*s, j + r = -4*s + 287. Is j a prime number?
True
Is (-26)/390 + 421666/15 composite?
False
Let i = 77544 - 28267. Is i a prime number?
True
Is 3 + (-282)/90 - (-87814)/30 a prime number?
True
Suppose -8*b = -3959 - 3833. Suppose -29*m = -27*m - b. Is m composite?
False
Suppose 8 = 4*d + 20, -15451 = -4*t + d. Is t prime?
False
Let c = -7703 + 16116. Is c a prime number?
False
Suppose 4*k = t - 3*t - 8, -4*k = -3*t - 22. Is 3/t*(-3452 + 0)/2 a composite number?
False
Let p(f) = 17*f**2 - 27*f + 5. Is p(12) prime?
True
Let r(p) = -p**2 + 958. Is r(0) a prime number?
False
Let m be (-2)/6 - (-7)/21. Suppose 6 = 4*l + 2*s - 0, -2*l - 3*s - 3 = m. Suppose -d + 232 = k + l*k, -2*k + 122 = -d. Is k prime?
True
Let d = 243622 - 166715. Is d composite?
False
Let g be 8/6*42/28. Let x = -6 + g. Is 225 - (0 + x/(-2)) composite?
False
Let m = -16 - -17. Let l = 1 + m. Suppose 0 = -3*c - l*h + 1087, 212 = -5*c + 5*h + 2057. Is c a composite number?
True
Let t = 46338 + -25727. Is t a composite number?
False
Suppose t + 69 = 4*w, -4*w + 5*w = -4*t - 344. Is 5 + -3 - -2 - t a composite number?
False
Suppose 2*q + 2*c = 7*c - 5, -4*c + 4 = 0. Suppose g + 5*g - 282 = q. Is g a prime number?
True
Let a(x) be the third derivative of 7*x**6/120 - x**5/20 + 3*x**4/8 + x**3 + 47*x**2. Is a(5) a composite number?
True
Is (-2*10/60)/(1/(-6609)) composite?
False
Let i(f) = 1331*f**3 - f**2 + 1. Let c be i(1). Suppose -c = -4*u + 705. Is u composite?
False
Let k(d) = 2*d**3 - 31*d**2 - 16. Is k(21) prime?
False
Suppose -673 = 5*i - 6*i. Is i prime?
True
Let d(a) = 23317*a - 36. Is d(5) composite?
False
Is (75490/15 - 9)*(-3)/(-1) composite?
True
Suppose 3*y + 0*y = -5*z + 5725, -y + z = -1919. Is y a prime number?
False
Suppose 5*x + 0*a + 3*a - 18526 = 0, -a + 7411 = 2*x. Is x prime?
False
Suppose -3*q = z + 637, 3*q - 6*q + 2608 = -4*z. Suppose 2*v + 2*v = 3744. Let k = z + v. Is k a prime number?
False
Suppose -78888 = -6*r + 2*c, -3*c - 7 = 2. Is r prime?
True
Suppose 4*h - 5*h = -3*t - 1064, -3*h + 2*t = -3185. Is h a prime number?
True
Suppose 4*k = -o + 3640, -k = -6*k - 5*o + 4535. Is k prime?
True
Suppose 0 = -k + 5*w + 516, -5*k = -3*w + 5*w - 2445. Is k a prime number?
True
Is 5074 + (-24)/(-40)*5 a composite number?
False
Let b = 5043 + 5498. Is b a prime number?
False
Let h = -22019 + 37806. Is h a prime number?
True
Is (30/8)/5*(3055 + -11) composite?
True
Let c be (-3)/(3/5)*1. Let x(w) = -w**2 + 2*w + 28. Let t be x(0). Let d = c + t. Is d prime?
True
Let i(b) = -27981*b + 70. Is i(-1) prime?
True
Let q(y) = 59321*y**2 - 30*y + 32. Is q(1) prime?
False
Let b = -36 + 24. Let h = b + 15. Let o(x) = 35*x**2 - 6*x + 2. Is o(h) a prime number?
False
Let h(q) = 27*q**3 + 2*q - 5. Let i be h(5). Suppose 5*o - i = -0*o. Suppose 5 = -5*d - 5, -d = -2*s + o. Is s prime?
True
Let r be (-294)/4*3*400/(-45). Suppose 4*v = a + 1559, 5*a + r = 5*v - 0*v. Is v a prime number?
True
Let z(d) = -146*d + 36. Let r(w) = -58*w + 27. Let k(o) = 29*o - 13. Let u(n) = -13*k(n) - 6*r(n). Let v(x) = -11*u(x) + 2*z(x). Is v(12) prime?
False
Let n = 14 + 58. Suppose -70*x = -n*x + 1382. Is x prime?
True
Let l(t) = 2*t + 1. Let m be l(-1). Let y be (m - -2) + 1 + -1644. Is y/(-4) - (-5)/10 prime?
False
Let l(w) = -w + 3. Let c be l(-5). Let h be c + -1 + 4/(-1). Suppose 2*i + 0*t - h*t - 1106 = 0, 2765 = 5*i + 3*t. Is i prime?
False
Suppose 2*f + 29 = -j, 5*j - 33 = 3*f + 4. Let s be (-49)/f + (-2)/(-4). Suppose 3*d + 203 = s*d. Is d prime?
False
Let z be 3/(-6) + (-20)