
False
Suppose 107*s - 5*y = 111*s - 890169, 890163 = 4*s - y. Is s composite?
True
Let z(c) = c**3 - c**2 - 2*c + 12. Let x be z(0). Let o = x - 10. Suppose o*a = -0*a - 4*u + 2762, u + 2737 = 2*a. Is a composite?
True
Is (484/(-33) - -14)/(4/(-575502)) composite?
False
Let j = 143 - 107. Let r = 85 + j. Is r a prime number?
False
Suppose -20921*o + 20901*o + 1687540 = 0. Is o a prime number?
True
Suppose q - 4*y + 12126 = y, 3*q = -2*y - 36344. Let h = q + 20175. Is h prime?
True
Suppose 2*g = 4*w - 3271788, -3*g - 5115859 = -5*w - 1026120. Is w a composite number?
True
Let w(s) be the second derivative of s**8/840 - s**7/315 + s**6/360 + 11*s**5/120 + s**4/12 - 21*s. Let m(a) be the third derivative of w(a). Is m(5) composite?
False
Let j be 12 + -5 + (-12)/(-2). Let u(y) = -y**3 + 12*y**2 + 13*y + 5. Let d be u(j). Suppose 4*a = -5*n + 663, -9*n + 4*n + 665 = d*a. Is n composite?
False
Let h be ((-5)/5)/((-4)/(-220)). Let j = 58 + h. Is (-6)/9 + 5546/j + -1 composite?
False
Suppose -75*i + 4*w - 867551 = -76*i, -4*i + 5*w = -3470288. Is i a composite number?
True
Suppose -673023 = -23*k + 2315528. Is k composite?
False
Let z(m) = -4181*m - 873. Is z(-32) a prime number?
False
Let m(o) = -6*o**2 - o + 8. Let d be m(2). Let q = -38 - d. Is 12/q*(-635)/1 a prime number?
False
Let k(m) = 658*m**2 + 17*m - 157. Is k(-15) prime?
False
Let r(i) = -7158*i + 9403. Is r(-61) composite?
False
Let p(r) = -r**2 - 6*r - 5. Let t be p(-4). Suppose -4*x = 2*a - 7300, 4*a = t*x + 5*a - 5473. Is x prime?
True
Let x = -1 - -5. Suppose 10426 = 4*d + 5*l, 19*d - 13053 = 14*d + x*l. Is d prime?
True
Let h(a) = 6*a**2 - 20*a - 3. Let p(l) = l**2 + 3*l + 5. Let k be p(0). Suppose y = k*t + 43, 0 = 4*y - y - 9. Is h(t) prime?
True
Suppose 0 = -5*g + 2*q + 22, -5*q - 1 = 2*g - 4. Suppose l = -g*t + 4853, 22 = -2*l + 24. Is t prime?
True
Suppose 5*a + 5*p = 114755, -2*a + 38572 + 7330 = -p. Is a a prime number?
False
Suppose 2*m - 2*o = -0*m - 4, -2*m + 1 = -o. Suppose -v + m = 1. Suppose -4*b = -v*d - 2954, -b + 0*d + 734 = d. Is b composite?
True
Let x = 21 - 17. Suppose -201 = 4*t - 0*t + 5*s, 0 = x*s - 12. Let q = t + 157. Is q a prime number?
True
Let d be 102/24 + (-3)/(-4). Suppose -2*s + 3*r = -107 - 29, -d*s - r + 374 = 0. Let a = s - -57. Is a a prime number?
True
Suppose 9*j - 4*j + 3*r = -73, 3*j - r + 55 = 0. Let n = -35 - j. Let x = 251 + n. Is x composite?
False
Is -16 + 5/(90/288) + 0 + 1426277 prime?
True
Suppose 30698 = 14*x - 4142268. Is x composite?
True
Is 6 + (658 + 0)/2*(42 - -1513) a prime number?
False
Suppose -18*i = -32*i + 56. Suppose 6*k = k + i*a + 6043, 5*a = -10. Is k a prime number?
False
Let t(p) = -79*p + 318. Let w be t(-11). Suppose 0 = -5*n + 2178 + w. Is n a prime number?
True
Let m be (-1 - -130)*(4 - 3). Suppose 3514 = 2*f + 12*f. Let d = f - m. Is d composite?
True
Suppose -2085086 = -221*m + 17*m + 20046262. Is m a composite number?
True
Let l be (-196)/2*275/(-50). Suppose -2396 + l = -3*n. Let k = n + -168. Is k a prime number?
False
Is 80476 + (-2*(-5)/(-10) + -1)/(-2) composite?
True
Suppose 2*c - 80858 = 4*u, -3*c - 27*u + 26*u = -121266. Is c a prime number?
True
Let f(g) = -3 + 0*g + 5*g + 2*g - 2*g + 25*g**2. Let u be (-39)/7 + 32/56. Is f(u) prime?
False
Let x = 412 - -2373. Suppose 5*n - 160 = u + 2625, 5*n - x = -3*u. Is n composite?
False
Let d be (-15)/(5/1) - -47. Suppose -5*b = -69 + d. Suppose b*a = h + 1497, 6 = -0*h - 3*h. Is a prime?
False
Suppose -6*j + 2*j + 20 = -4*c, -j + 25 = 3*c. Suppose 7*v - j*v - 18 = 0. Is 1542 - (-2)/2 - (v + 6) a prime number?
True
Suppose -232*f = -231*f - 6637. Suppose 5*c + f = m - 0*c, -5*m + c = -33281. Suppose 4*w - 8886 = -s, -m = -3*w + 3*s - 0*s. Is w prime?
True
Suppose -6*p - 5*y + 14315 = -p, 5*p - 3*y = 14331. Suppose -2*a + p = -5*a. Let i = 1392 + a. Is i composite?
True
Let v be 20/5*4/((-64)/(-12)). Let t(c) = 10*c**3 + 10*c**2 - 40*c - 1. Is t(v) a prime number?
True
Suppose -199*j + 197*j = -105418. Is j a composite number?
False
Let v(d) = 102*d + 35 + 5 + 505*d. Is v(19) a prime number?
False
Suppose 4*w - 140131 = -q, -143*q + 146*q - 420343 = -2*w. Is q prime?
True
Suppose 5*i - 2*p - 1606354 = 1537095, 5*p + 1886096 = 3*i. Is i a composite number?
False
Let p(h) = 917*h**3 + 5*h**2 + h - 2. Let l(n) = 918*n**3 + 4*n**2 - 1. Let x(i) = 3*l(i) - 2*p(i). Suppose 7*z + 1931 = 1938. Is x(z) a composite number?
True
Suppose 0 = 25*a + 450 + 350. Let q(w) = w**3 + 46*w**2 + 27*w - 55. Is q(a) a composite number?
False
Let i = -6691 - -95184. Is i a composite number?
False
Suppose 0 = 4*v + 51 - 63. Let k be v/(-3)*21/(-7). Suppose 4*d - 2584 = -4*g, -d = -k*d + 3*g + 1267. Is d a composite number?
False
Let j(f) = -33 + 13*f**2 + f**3 + 7 - 11 + 16*f + 12*f**2. Is j(-23) prime?
True
Suppose -29*r + 34*r = 160. Let a = -36 + r. Let y(l) = -146*l - 1. Is y(a) prime?
False
Suppose -2*f + 3*o + 1405 = -3*f, 3*f = -5*o - 4223. Let s = 3992 + f. Is s prime?
False
Let h(g) = 299*g**2 - 7*g + 13. Let q(j) = -j**2 + 30*j + 36. Let c be q(31). Is h(c) a prime number?
False
Let j(z) = z**2 - 9*z - 14. Let k be j(11). Suppose 2*l - 11090 = -k*l. Is l composite?
False
Let o(d) = -3*d**3 + 4*d**2 + 8*d - 6. Let h be o(-7). Suppose k - 5*k = -m - 10, 2*m - 3*k = -5. Is h/m - (-16)/(-32) a composite number?
True
Let b = 87 + 49. Suppose -b*a - 12845 = -141*a. Is a prime?
False
Suppose -4*o - l + 1435373 = 4*l, 3*l = -7*o + 2511920. Is o prime?
True
Let k = -99 + -105. Let z = 227 - k. Is z a prime number?
True
Let w(l) = 28*l**3 - 14*l**2 + 11*l. Let b be w(5). Suppose -11145 + b = 5*h. Is (-5)/2*(-4)/(-40)*h a prime number?
True
Let n(b) = -6*b + 18*b - 93 + b**2 + 113. Is n(-21) composite?
True
Suppose 3*h + 299847 + 47000 = 4*j, -5*j + 3*h + 433558 = 0. Is j prime?
True
Let r = -869648 - -1352605. Is r composite?
False
Let o(z) = -128*z**3 + z**2 + 9*z + 25. Is o(-6) a composite number?
True
Let y = -37 - -53. Suppose 4*q - y = -0*q. Suppose -5*a - 5*n + 8145 = -n, -3246 = -2*a - q*n. Is a a composite number?
True
Suppose -2*b = b + 12. Let j be (-1 + (-6)/b)/((-7)/(-84)). Suppose z - 3799 = -4*a + j*z, 3*a - 2857 = -4*z. Is a a prime number?
False
Let l = -128046 - -287027. Is l prime?
True
Suppose 15 - 11 = h. Suppose 105305 = h*r + 12885. Is r a prime number?
False
Is (-1)/(1/(-59612)) - ((-90)/10)/(-9) prime?
True
Let z(j) = 64*j + 17. Let w(m) = -m - 1. Let b(x) = 2*w(x) + z(x). Is b(10) a prime number?
False
Let q(f) = -417*f + 10. Is q(-27) a composite number?
True
Suppose 4515*v + 16483890 = 4545*v. Is v prime?
False
Suppose -2*z - 1374 = -l, 1088 = 2*l - 3*z - 1657. Suppose 2*r + l - 6684 = 0. Suppose 10*q - r = 482. Is q a composite number?
True
Let b = 116051 + -73311. Suppose 1681 = -19*k + b. Is k a prime number?
True
Suppose -a + 6 = 7, -2*t + a = 9. Let g be (-11)/t + (-2)/10. Suppose g*b + 1973 = 3*b. Is b prime?
True
Let l(r) = -13874*r - 1259. Is l(-12) a composite number?
False
Let q = 2645 + 15012. Is q prime?
True
Let u(n) = 5*n**2 - 20*n + 31. Let t = 72 - 57. Let m be u(t). Suppose m = 4*p - 1108. Is p a prime number?
True
Let o = 51 + -53. Is (o + (-54675)/6)*-2 composite?
False
Let p(x) = 4894*x**3 - 16*x - 16. Is p(3) a prime number?
False
Let b(p) be the first derivative of 56*p**3/3 + 11*p**2/2 - 44*p + 76. Is b(7) composite?
False
Let f = 100 - 145. Is (-18)/f - (-13153)/5 a prime number?
False
Suppose 2436 = 3*v - 196263. Is v a prime number?
False
Let s(t) = 1 + 3756*t**2 - 3*t + 3119*t**2 + 3427*t**2 - 2696*t**2. Let a be s(1). Suppose -5*o = -9*o + a. Is o prime?
True
Let v(h) = -9*h**3 + 4. Let p be v(2). Suppose 0 = 4*n - 4*l - 400, -5*l + 550 = 3*n + 2*n. Let f = p + n. Is f a composite number?
False
Suppose -2*l - 4*p - 6 = 0, -3*l = 5*p - 2*p. Suppose -4*r = 4*x - 16, -r - 8 = -l*r. Suppose -5*v = 4*n - 7624, x*n = -n + 4*v + 1885. Is n a composite number?
False
Suppose 5*j = p + 3092, 777 + 2309 = 5*j + 2*p. Suppose 3*c + q = 1181 - 258, -2*c - 2*q + j = 0. Is c prime?
True
Let n(i) = 9*i**3 + 9*i**2 - 2*i + 3. Suppose k - 24 = 7*k. Let q be n(k). Let g = q - -686. Is g composite?
True
Let v(a) = -3*a + 9. Let l(o) = -4*o + 9. Let k(t) = 4*l(t) - 5*v(t). Let f be k(-9). Is (16545/27 - 4/(-18)) + f composite?
False
Let i = -141229