 1). Is (-5873)/(-7) + b*1/2 a prime number?
False
Let m(n) = -420*n + 91. Let c(i) = 420*i - 95. Let o(s) = 3*c(s) + 4*m(s). Is o(-5) prime?
True
Is ((2874786/(-9))/2)/((-127)/381) composite?
False
Let g = -139916 - -277539. Is g composite?
False
Is 315/(-90) + (-491055)/(-6) prime?
True
Let r be (16/(-6))/(-14 + (-1480)/(-105)). Is (2 + r/12)/(3/(-64458)) prime?
False
Let f be (-12)/(-18)*6 + 3. Let o(r) = 14*r**3 - 14*r**2 - 8*r + 55. Is o(f) prime?
False
Suppose -v = 5*v - 18. Suppose -5*r + 4*b = 9*b - 98290, 98296 = 5*r + v*b. Is r a composite number?
False
Let c(n) = -416*n + 132. Let t be c(-6). Suppose 3*y + t = 12459. Is y prime?
False
Let n(p) be the third derivative of p**6/120 - 11*p**5/60 + 5*p**4/4 - 23*p**3/3 + 37*p**2. Is n(22) composite?
True
Suppose 10*h = 17*h - 21. Let y(k) = -k + 8. Let c be y(4). Suppose -h*a = -c*r - a + 3330, 6 = -2*a. Is r a prime number?
False
Suppose 19*f = 24*f - 745. Suppose 5*i - 1054 + f = 2*b, 0 = -4*i - b + 737. Suppose 0 = -d + 3, 3*o - 1557 = 3*d + i. Is o a prime number?
False
Let v = 43110 - -28207. Is v a composite number?
False
Suppose 0 = -3*q - v + 99389, 0 = -q + 2*v - 10139 + 43278. Suppose -23*c + 30*c = q. Is c a composite number?
False
Let u(b) = b**3 - 10*b**2 - 32*b + 96. Let c be u(12). Suppose -4*a + 51681 = 3*k, c = 42*k - 41*k + 2*a - 17225. Is k prime?
True
Suppose -p + 6782 = o, o = -p - p + 13569. Is p composite?
True
Suppose 4*c - 5*m - 14963 = 367070, -286526 = -3*c + 5*m. Is c a composite number?
False
Suppose -57*r - 39*r + 2427575 = -71*r. Is r prime?
True
Suppose -391*v + 393*v = -2*s + 1181200, -3*s + 1771744 = -5*v. Is s prime?
True
Suppose 2*y = 30*d - 28*d + 17502, 5*d + 43735 = y. Is d*(90/(-12) - -7) prime?
True
Let r be (-51491)/(-2) + (-62)/124. Is 4 + 3/(15/r) a prime number?
True
Let n(l) = 2*l + 4. Let y be n(-4). Let i = -7957 - -8840. Is -2 + 1*(y + i) composite?
False
Suppose 12*v - 850632 = -165636. Is v a prime number?
False
Suppose h + 97624 = 3*j, 5*h + 80 = 105. Is j a prime number?
False
Let r = -61 - -72. Suppose 2*j - 3 - r = 0. Suppose j*g - 2*g - 2349 = -4*t, 2*t + 5*g = 1187. Is t prime?
False
Is (247631 + (-9)/(-3))/((-16)/(8 - 16)) a composite number?
False
Let l be (-8 + 40)*1/2. Let c be l/(-40) + 1216/(-10). Let x = c - -323. Is x a prime number?
False
Let v be ((-198)/15)/((-3)/(-10)). Let o = 44 + v. Suppose w + x - 21 = o, 0 = 4*w + x - 18 - 69. Is w a prime number?
False
Let q(p) = -36*p + 53. Let y be q(13). Is -4 - (10/5 + y) a composite number?
False
Let j = 74 - 78. Let a be ((-2)/j)/((-2)/(-1956)). Let g = 2412 - a. Is g prime?
False
Let i(z) = 94*z - 53*z - 44*z + 573 - z**2. Is i(0) composite?
True
Suppose 0*k + 78750 = -15*k. Let r = k - -9659. Is r composite?
False
Suppose -13*t + 74 = -199. Suppose -t*k + 87758 = k. Is k a prime number?
True
Let p(b) = 2109*b**2 - 29*b - 137. Is p(-12) composite?
False
Let y = -215171 + 330674. Is y a prime number?
False
Suppose -2*r = k - 1702, 1702 = 4*r - 2*r + 2*k. Let y = r + -432. Is y a composite number?
False
Suppose -26*b + 56911 = 5*z - 27*b, 14*z = 4*b + 159346. Is z prime?
True
Let h be (-5)/(2 - 7) + 2. Let d be (h - 2)*6/((-18)/(-33)). Suppose 0 = s + d - 1770. Is s a prime number?
True
Let c(b) = -4500*b**3 + 78*b**2 + 307*b + 3. Is c(-4) a prime number?
True
Let p = 4649 - -2636. Let r = p - -1294. Is r a composite number?
True
Is -21 + (-1027)/(-52) - (-126747)/12 composite?
True
Suppose -58*l = -22*l + 36. Is (l + 2 + -3)*11156/(-8) a prime number?
True
Let i be (4936/(-6))/(8/(-12)). Suppose -i = -r + 3179. Is r + 5 - (-2 + 5) composite?
True
Let k(a) = -4885*a + 6. Let r be k(-10). Let n = r + -25739. Is n a composite number?
False
Let g = -35 + 57. Suppose h = -s + 6, s + 4*s = 3*h + g. Suppose -2560 = -s*n - x, -5*n + 3*x - 495 = -3035. Is n prime?
False
Let w be 72/(-84) + (-41)/(-7). Is w/((-5)/4) + 93879/57 a prime number?
False
Let x(n) = 65422*n**2 + 558*n - 2861. Is x(5) composite?
False
Let d(y) = 28932*y + 593. Is d(8) prime?
True
Let a(i) be the third derivative of 10409*i**6/120 + i**5/60 + i**4/6 - 5*i**3/6 + 33*i**2. Is a(1) prime?
False
Suppose 5*s + 0*s + 335 = 0. Let a = s + 187. Suppose -121*d + 1151 = -a*d. Is d a prime number?
True
Let s(d) = -45*d**3 - 24*d**2 - 15*d + 103. Is s(-9) a prime number?
False
Suppose 9 = -k - 56. Let b be (k/(-25) - 2/10)*225. Let l = b + -349. Is l composite?
False
Let d(p) be the second derivative of -p**4/4 + 65*p**3/6 + 2*p**2 + 44*p. Let k(n) = -4*n**2 + 97*n + 6. Let s(x) = -7*d(x) + 5*k(x). Is s(15) a prime number?
True
Let v be (-5)/(-1)*(-7)/(-5). Suppose 0 = -2*t + v*t - 5360. Suppose 892 = 4*f - t. Is f prime?
True
Suppose 37*b - 885157 = 2097894. Is b prime?
False
Is 384/(-32) - (3 - 11916) a prime number?
False
Is (-36163245)/(-391) + (-4)/34 a prime number?
True
Suppose -5*o = 3*f - 1568256, -1036*o + 1035*o = 3. Is f prime?
True
Suppose 0 = t - 2*h + 1, 0 = -2*h - 2 - 6. Let u be (1160 - 2)/(t/6). Let g = 1923 + u. Is g prime?
True
Let g(a) = -a + 562. Let l = 43 + -43. Let p be g(l). Suppose -p + 44 = -7*r. Is r composite?
True
Is (-384)/384 + 226*488 prime?
False
Let x be ((-7)/(70/172))/((-2)/(-10)). Let y = -277 - x. Let z = -60 - y. Is z composite?
False
Suppose -5*t = -m + 5*m - 9418, -9478 = -4*m + 5*t. Is m composite?
True
Suppose 4*i - 3*d = 295403, i - 64098 = 3*d + 9764. Is i a composite number?
False
Suppose 54*f = 51*f + 12. Suppose -1167 = 2*s + o - 211, -3*s - 1445 = -f*o. Let i = s - -678. Is i a prime number?
True
Let l(x) be the second derivative of 115*x**4/12 + 7*x**3/3 - 5*x**2 + 2*x - 20. Is l(5) prime?
False
Suppose 4*w = -5*w + 178778 + 22399. Is w a prime number?
False
Suppose 5*w = -41 - 4. Let a be (-3)/(w/(-6))*(9 + -10). Suppose -4*j + 1184 = b, 283 = 3*j - a*j - 3*b. Is j a prime number?
False
Is -482 + 472 - (-179394)/2 composite?
True
Suppose 4*s = 8*s - 5*x - 147988, -110991 = -3*s + 3*x. Is s a prime number?
True
Suppose -4*i = -2*j - 8918, j - 6676 = -0*i - 3*i. Let r = 976 + i. Is r a prime number?
True
Suppose -16*q - 12028 = -16*q - 4*q. Is q a composite number?
True
Let g(v) = -3942*v**2 - 6*v + 45. Let y be g(4). Is 16*6/120 - y/5 a composite number?
False
Suppose 75756 = 3*z - 3*r, -5*r + 126295 = 5*z - 3*r. Suppose -z - 78555 = -12*q. Is q composite?
True
Let s(q) = 103*q - 20. Suppose -8*u = -9*u + 9. Is s(u) prime?
True
Let j(w) = 12*w + 25. Let o(m) = 3*m**2 - 13*m - 5*m + 16*m - 2. Let g be o(2). Is j(g) composite?
False
Suppose -45*o = -43*o - 118. Suppose 60*x = o*x - 5*l + 9647, 2*x + l = 19294. Is x prime?
False
Is 16 + 10 + -21 + 1333478/1 a prime number?
True
Suppose 4*n - 922530 + 17839 = -5*b, 0 = 3*b - 9. Is n prime?
True
Let z = 136 - 128. Let q(s) = -5*s**2 - 3 - 8*s - 3*s + 7*s**3 + 4*s + 0*s. Is q(z) a composite number?
True
Let b(o) = 396*o - 25. Let a be b(9). Let p = a + -2403. Is (-6 - -8) + (p - (-1 - 0)) a prime number?
False
Suppose 0 = -3*s - 0*s + 78. Suppose s*p - 24*p - 18 = 0. Suppose 2*c - 13*d + p*d - 3662 = 0, -4*d = 16. Is c a composite number?
False
Is (7 + -9 - 216993)*(-3)/15 a prime number?
True
Let x(h) = 441*h - 10. Let n be (12/3 - -2) + -5. Is x(n) composite?
False
Let r be (-28)/8 + 2 + 5/(-2). Let x be (r/5)/2 - 47960/(-25). Suppose -28*f = -35*f + x. Is f a composite number?
True
Let x(a) = -8*a**2 + 2*a + 4. Let k be x(0). Is k/(-14) - (-2 - (-392892)/(-84)) a composite number?
False
Suppose -z + 10 = -3*f, 22 = 5*z + 2*f - 3*f. Suppose -z*r + 5*i + 1092 = 0, -5*r - i + 681 = -713. Let v = r + 95. Is v prime?
True
Let c(f) = 21*f**3 + 2*f**2 - 15*f - 177. Is c(10) prime?
True
Suppose 4*g - 3*q - 316 = -33, g + q = 76. Let n = -85 + g. Is (n/24)/((-1)/5914) a composite number?
False
Let o(q) = q**3 - 17*q**2 - 17*q - 18. Let n be o(18). Suppose -g + 3*l - 15 = -n*g, l + 2 = -2*g. Is 1380 + (-2 - -6*g/(-6)) prime?
True
Suppose -2*t + 6*t = -5*l, -3*t = 2*l. Suppose t = -3*a - 4*q - 47, -3*a = a - 2*q + 26. Is a/(-6)*(-1006)/(-3) prime?
True
Let f(i) = 130*i**2 + 5*i - 4. Let t(v) = 2*v - 7. Suppose -5*s + 16 = -9. Let l be t(s). Is f(l) a composite number?
False
Let c be (19 + -4)/(-5) + 10. Suppose 0 = -c*b + 11*b - 15816. Let g = b + -2331. Is g a composite number?
True
Suppose 2*f = -p + 3073, -3*p + 9210 = -0*p + 