761. Is r composite?
True
Let h(p) = -9*p + 423. Let l be h(47). Suppose -d - 6*j + 3*j + 23206 = l, -2*j + 92874 = 4*d. Is d a composite number?
True
Let d(b) = -b**3 - 7*b**2 + 79*b - 25. Let m be -10 + 14 - (30 + 0). Is d(m) prime?
False
Let j be 5/(-3)*18/(-15) - 539. Let c(b) = 31*b - 35. Let f be c(-9). Let g = f - j. Is g prime?
True
Let p(f) = 3*f + 19 - 35*f**2 + 257*f**2 - 7. Is p(3) a prime number?
False
Suppose 5*a - 82283 = 4*l, 4*l = -4*a - l + 65810. Is 10/(50/a) + 8 composite?
False
Suppose -7*j - 79 = -2*j - y, 5*y = -3*j - 25. Let f be (j - -14)*1/1. Is 38380/57 + ((-4)/3 - f) a prime number?
True
Suppose -3*o + 408068 = 5*q, 2*q = q + 4. Suppose 239*n + o = 255*n. Is n prime?
True
Is (-1084)/(-5420)*(2974796 - 1) a composite number?
False
Let a(g) = g - 10. Let r be a(9). Is 3156 + 5 - r - -1 prime?
True
Let q be 276/(-2)*782/(-17). Suppose -12*l + q = -6*l. Let w = l + -379. Is w a composite number?
True
Suppose 3114868 = 96*m - 512108. Is m a composite number?
False
Is (30791718/108)/((-1)/(-2)) a composite number?
False
Suppose 3*u - 2*a = 974943, u = -3*u + 4*a + 1299920. Is u prime?
True
Let p = 182149 + -26696. Is p prime?
True
Let b(i) = 9*i**3 - 19*i**2 + 41*i - 201. Is b(16) composite?
True
Let a(x) = 388*x**3 + 4*x**2 - 30*x + 239. Is a(6) a prime number?
True
Let x = 2985 + -1614. Let k = 1957 - x. Is k composite?
True
Suppose n + 2089 = 5*t, 2*t - 676 = -4*n + 142. Is t - (-3)/(-6)*-4 prime?
True
Suppose 0 = -7*a + 37 - 9. Suppose -a*b + 17456 = -30572. Is b prime?
True
Suppose 12*u + 0*u = 84. Let q be (-4)/u - (-147744)/126. Suppose -10*b + 6*b = -q. Is b prime?
True
Let z be (2 + 25)/(21/(-14)). Let c be (z/7)/(114/56 + -2). Is -4 + (-4 - (c - 1)) a prime number?
False
Let c(i) = -17122*i + 3103. Is c(-3) a composite number?
False
Let y(q) = 100*q**2 - 6*q - 5. Let t be y(9). Suppose 3*x - t = -2*k, 4*k = x + 8*k - 2677. Let o = -1795 + x. Is o a composite number?
True
Suppose 4*r + 8 = -4. Is (7 - (8 + -8191)) + r a prime number?
False
Suppose 4*v - 114989 = -5*q, -6*v = -11*v + 4*q + 143767. Is v composite?
False
Let b = 27302 - 3333. Is b a composite number?
True
Suppose -32*r - 52 = -34*r + 5*a, -160 = -5*r + 5*a. Suppose r*v - 30086 = 22*v. Is v composite?
True
Let v be 194292/(-30) - 18/(-45). Let k = v + 10063. Is k a prime number?
False
Let y(k) = k**3 + 26*k**2 - 87*k - 43. Let n be y(-28). Suppose -2*z + 521 = -n. Is z composite?
False
Is (-1 - 0)/((-30)/1963230) prime?
False
Let t(d) = 9055*d**2 + 39*d - 179. Is t(7) a prime number?
False
Let h = 27 + -37. Is (200052/180)/((-2)/h) composite?
False
Let h = -13 - -2517. Suppose -k - 3*k - h = 0. Let s = -361 - k. Is s a prime number?
False
Let i(b) = -9138*b + 245. Is i(-9) prime?
True
Let g(i) = 5*i**2 - 4*i + 54. Let c be g(8). Suppose 4*y = -0*x + 3*x - 251, 2*y = -4*x + c. Is x prime?
False
Suppose -22*c + 37*c + 373821 = 36*c. Is c a prime number?
False
Let d be ((-4)/(-12))/(2/42). Suppose 0 = -3*o + d*o - 940. Let y = 689 - o. Is y composite?
True
Let w be (2/6 - 1) + (-90)/(-54). Is (w/(-1))/(23/(-53659)) composite?
False
Let o = 4983 + -8053. Let p = 7839 + o. Is p a composite number?
True
Let n(b) = 132*b**2 + 12*b - 29. Let j be n(7). Is (-2 + -1 + 3 + 1)*j a composite number?
True
Let o = 604135 - -67494. Is o a composite number?
True
Let g be (-130)/(-15) - 4/(-12). Suppose -t - 4*j = -17749, g*t - t + j = 141837. Is t a composite number?
False
Is (-2)/23 - (-25441803)/621 a composite number?
True
Let o = 56 + -102. Let p = 36 + o. Is 3/(30/365)*p/(-1) a prime number?
False
Let u(j) = 33515*j**2 - 7*j + 1. Is u(-3) composite?
False
Let g be (18/21)/(1/42). Let l be 1/(-2) - (-5 - g/(-8)). Suppose 8*f - 3*f - 335 = l. Is f a composite number?
False
Is 207912935/(-2230)*(-1 + 0)*(-2)/(-1) prime?
True
Let a(j) = j**3 - 2*j**2 - 3*j + 10. Let w be a(7). Let q(s) = 102*s**3 - s**2 - 4*s + 6. Let x be q(1). Let b = w + x. Is b a prime number?
True
Let m(b) = 9*b**2 - 3*b + 24. Let k be m(7). Let v be (-1)/((-1335)/k - -3). Let f = 311 - v. Is f a prime number?
True
Let d(j) = 6*j**2 - 20*j + 33. Let p(a) be the second derivative of a**4/4 - 5*a**3/3 + 8*a**2 + 7*a. Let m(k) = -2*d(k) + 5*p(k). Is m(4) a composite number?
True
Suppose 77 = -4*z + 69. Let t be (-5806)/2*(-3 - z). Suppose -3*p - w + t = 0, 2*w - 3 - 1 = 0. Is p a composite number?
False
Let d be (20 - 26)*40/6*2. Let r = -79 - d. Is 2/r*4541/38 prime?
True
Let a(z) = 491*z - 82. Let l be a(22). Let m = 22511 - l. Is m composite?
True
Suppose d - s - 1076 = 0, -29*d + 26*d + 3268 = 5*s. Is d a composite number?
True
Let b(s) = -2*s**2 - 25*s - 46. Let x be b(-10). Suppose -z + x*v = -231, 3*z - 960 = -z - 2*v. Is z composite?
False
Suppose -18*k = -7*k - 44. Suppose 8*h - 19252 = k*h. Is h a composite number?
False
Let p = -247 + 160. Let s = 124 + p. Suppose -33*v - 19956 = -s*v. Is v a composite number?
True
Is (14959/(-14)*1 - -2)*-342 - -2 a prime number?
False
Suppose -99682 = -5*n - 3*k, -8*n - 99687 = -13*n + 2*k. Is n a prime number?
True
Suppose 10*h = -0*h + 5610220. Suppose -38*u = -16*u - h. Is u a composite number?
True
Let v(l) = -5 - 9*l + 3*l + 6*l**2 + 14*l**2. Let i be v(-3). Let y = i - 104. Is y a composite number?
False
Let y(r) = r**2 + 3*r - 10. Let x be y(-5). Suppose x = -4*d + c + 45634, 0 = 2*d + d - 5*c - 34217. Is d prime?
False
Let j = -20 + 21. Is (j/(-2) + 0)/(24/(-174864)) prime?
True
Let y(w) be the third derivative of 1325*w**4/24 + 37*w**3/3 - 9*w**2 + 1. Is y(19) a prime number?
False
Suppose -4*t - 12*t + 192 = 0. Suppose -t*p - 8782 + 22162 = 0. Is p a composite number?
True
Suppose -110277 - 92478 = -105*x. Is x a composite number?
False
Suppose -2*c - 257846 = -233*i + 231*i, 3*c - 644567 = -5*i. Is i a prime number?
False
Let o = 1049192 - 374031. Is o prime?
True
Suppose 35*y - 40*y - 30 = 0, -248353 = -5*q - 2*y. Is q a composite number?
True
Suppose -27888149 = -269*v + 10665738. Is v prime?
False
Let x = 81542 - 8683. Is x a composite number?
False
Let h(o) = -o**2 - 39*o + 132. Let g be h(-42). Let t(r) = 306*r**2 + 7*r - 4. Is t(g) composite?
True
Suppose -3324 = -4*z - 2*b, 4*z = 153*b - 157*b + 3324. Is z prime?
False
Let p = 91631 - 49350. Is p a prime number?
True
Suppose 6*c - 3*c - 9 = 0. Suppose -c*a = -2*a. Suppose m + 3*m - 536 = a. Is m a composite number?
True
Let q = -10409 - -91936. Is q a composite number?
False
Let d = -13946 - -26290. Let c = 18241 - d. Is c composite?
False
Let t(d) be the first derivative of 1/3*d**3 - 14*d - 17 + 0*d**2. Is t(15) prime?
True
Suppose 21*n - 29*n = 59*n - 15001769. Is n a composite number?
True
Suppose 0 = -37*j + 39*j + 226. Let v = j + 108. Is (1 - (0 - 9665)) + v/(-5) prime?
False
Let m(a) = -a**3 - 8*a**2 + 11*a + 20. Let o be m(-9). Suppose -o*p = -12 - 18. Let i(b) = -b**2 + 34*b + 8. Is i(p) composite?
False
Suppose 5*j - 568 = j - 3*r, 2*r = 5*j - 733. Let t = 412 + j. Is t prime?
True
Suppose -132*j = -122*j - 1749830. Is j composite?
True
Let l(o) = 1050*o**3 + 45*o - 79. Is l(6) composite?
False
Suppose -15 = 62*b - 67*b. Let d(a) = -2*a + 1. Let m be d(-1). Suppose -4*p + m*o = -2212, -2059 = -3*p + b*o - 400. Is p prime?
False
Let q(j) = 77*j**2 - 54*j - 378. Is q(22) composite?
True
Is 2142348/(-104)*(-4)/6 prime?
False
Suppose -2*q + 69311 = -3*k, 5*q + 15*k = 12*k + 173288. Is q prime?
False
Is -2*7/42 + 579120/18 a composite number?
False
Let t(q) = -q**2 + 8*q - 7. Let u be (9/4)/(21/56). Let k be t(u). Suppose -2*p - k*z = -6*p + 1297, 0 = -2*p - 3*z + 643. Is p a prime number?
False
Let r(q) = 663*q**2 + 5*q + 7. Let t(j) = -j**2 - 2*j + 11. Let m be t(-4). Is r(m) prime?
False
Let j(o) = -514*o**2 + 2*o + 3. Let y(a) = 2*a**2 + 3*a. Let k(n) = -j(n) + y(n). Is k(2) prime?
True
Let g = -447 + 530. Suppose g*i + 9122 = 85*i. Is i a composite number?
False
Let k = 349 - 163. Let f = 463 + k. Is f a prime number?
False
Let b(w) = w**3 + 83*w**2 - 43*w + 2009. Is b(-60) prime?
False
Let d(i) = 71*i + 2113. Is d(26) a prime number?
False
Is (-93)/(-1)*(3 - (-140)/(-45))*-1293 a composite number?
True
Suppose 9*m = -936 - 540. Suppose -3*w + 1042 = 193. Let b = m + w. Is b a prime number?
False
Suppose 0 = 2*w - 21 + 11. Suppose -2*l - 108 = -0*r - 5*r, 0 = 5*r - w*