composite number?
False
Suppose -5*j - 62663 = 29987. Let w = 35111 + j. Is w a prime number?
False
Let v(f) = -f**3 + 3*f**2 + f + 6. Let x be v(-3). Let t = 22 - x. Let q = 1166 - t. Is q composite?
False
Suppose 6*q - 489150 = -12*q. Suppose q = 9*d - 4*d. Is d prime?
False
Let u = 2788 + -7650. Let d = 8221 + u. Is d prime?
True
Let b = -10 + 12. Let v = 8 - b. Is (-4)/v + ((-2815)/(-15))/1 a composite number?
True
Suppose -6 = -2*d, 1 = -7*p + 2*p - 3*d. Let j be -1*3/(2 - (-7)/p). Suppose 5*s + j*k - 6713 = -0*s, 0 = -2*s - k + 2685. Is s prime?
False
Is (-17)/((-680)/30) + 126699/12 prime?
True
Is 1/((54/45)/6) + 64394 composite?
False
Is (4 - 7)/(-3) - 9/(90/(-74380)) prime?
False
Suppose 0 = 93*h - 78*h - 2627715. Is h composite?
True
Let y(c) = -70*c + 101. Suppose 0*i = -4*i - 132. Is y(i) a prime number?
True
Let i be (-7 - 1) + 9 - (-24752 + 1). Let u = i + -7873. Is u a prime number?
True
Suppose 0 = y + 2*y - 264. Let w be ((-291)/(-2))/(6/y). Suppose 13*u = 15*u - w. Is u prime?
False
Let c = 598898 - 188749. Is c composite?
False
Suppose w - 3*n - 18188 = 0, w + 242*n - 238*n = 18195. Is w a prime number?
True
Suppose 193514 = -0*x + 6*x - 2*n, 5*x + n - 161251 = 0. Is x composite?
False
Let d(q) = -169*q**3 - 3*q**2 - 3*q + 1. Let y(p) = -676*p**3 - 12*p**2 - 13*p + 4. Let l(x) = 9*d(x) - 2*y(x). Is l(-2) a composite number?
True
Suppose -d = -17*d + 83376. Suppose 5*t - h = 3*t + d, -2*t + 5*h = -5231. Is t a composite number?
True
Suppose 106176 - 30150 = 3*b. Let p = -17432 + b. Is p/56 - (-2)/(-8) a prime number?
False
Suppose 4*r + 7 = v - 9, r + 4 = -4*v. Suppose -2*g + 3*g = 3, v = -5*w - 3*g + 114494. Is w prime?
False
Suppose 0*k = 4*k - 4*y - 1276, -4*y = -4. Suppose 522 + k = -2*t. Let v = 766 - t. Is v prime?
True
Suppose i + 4*g - 484493 = 0, -2*i - 234*g + 233*g + 968944 = 0. Is i a composite number?
True
Suppose -3*c + 24202 = -5*y, -4*c = -9*y + 6*y - 32251. Is c a prime number?
True
Let s(x) = 2*x**3 - 7*x**2 - 2*x + 11. Let r be (-5)/(-30) - 82/(-12). Suppose -40 = -r*d + 2*d. Is s(d) a prime number?
True
Let w(r) = 56 + 11*r + r**3 - 90 + 49 - 8*r**2. Let u be w(6). Is 603/24*12/u*46 a composite number?
True
Let u be 4548/20*(1 - -9). Is (-13)/(-39)*(u + -3) a composite number?
False
Let r = -2334 - -14135. Is r a prime number?
True
Let o = -79380 + 112681. Is o a prime number?
True
Suppose 22*k - 3330828 - 13199695 = 3727099. Is k a prime number?
False
Let l(j) = -557*j - 19. Let c(m) = -2*m + 1. Let p(u) = 4*c(u) - l(u). Is p(10) prime?
False
Suppose 3*q = 3, -5*i + 4*q = -1216 - 1000. Suppose 3*c - 54 = i. Is (-10)/(-4)*c/5 a composite number?
False
Let p = 3374 + -7407. Let d = 13826 + p. Is d a prime number?
False
Suppose 7 + 21 = 2*d. Suppose 45*p = d*p + 151373. Is p a composite number?
True
Suppose 9*q = 28*q. Suppose q = 15*h - 4804 - 16181. Is h composite?
False
Let h(r) = 8728*r**2 + 31*r - 111. Is h(10) prime?
True
Suppose -4*l + 12 = -2*l - 4*c, -2*l + 18 = -c. Let a be (-5)/l + 21/6. Suppose -3*r = v - 635, 0*v + 2*r = a*v - 1927. Is v composite?
False
Let b = -48 - -112. Suppose 0 = -56*x + b*x - 7640. Is x a composite number?
True
Let m(t) = 2*t**2 - 4*t - 6. Let c be m(3). Let s be ((2 - c)/(-2))/(10/(-20)). Is s/5 - 3252/(-20) a prime number?
True
Let n(l) = 30198*l + 173. Is n(2) a prime number?
False
Let l(c) = c**3 - 5*c**2 - c + 11. Let a be l(5). Let z be 2*(5 - 75/10). Is (8 + z)*2/(a/211) a prime number?
True
Let c(k) be the third derivative of k**6/40 - k**5/24 + 5*k**4/24 + 3*k**3/2 + 14*k**2. Let p(l) be the first derivative of c(l). Is p(4) a composite number?
True
Let r = -1379 - -918. Let m(y) = 10*y**3 - 5*y**2 - 5*y + 2. Let o be m(-4). Let k = r - o. Is k a composite number?
True
Suppose 4*r = 5*k - 4712062, 99*k + 5*r + 4712055 = 104*k. Is k prime?
False
Let c = 102169 - 71093. Suppose 9*b - 85139 + c = 0. Is b a prime number?
True
Let k = 18 - -22. Suppose 10*i + 0 = k. Suppose i*p = w - 0*w - 3357, 0 = -4*w - 2*p + 13464. Is w a prime number?
False
Let f(o) = 8*o**2 - o + 13. Let r(a) = -9*a**2 + 2*a - 14. Let i(x) = -5*f(x) - 4*r(x). Let p be i(-11). Let n = -203 - p. Is n a composite number?
False
Let g(b) = b**3 - 5*b**2 + 5*b + 4. Let l(w) = w**2 + 5*w + 4. Let j be l(-5). Let y be g(j). Suppose y*i - 5*i - 3117 = 0. Is i a prime number?
True
Suppose 29*k - 1583536 = -9*k. Is 0 + -2*k/(-16) a composite number?
False
Is 2/(4/(-6))*(367060872/36)/(-34) a prime number?
True
Let r(o) = -o**2 + 8*o - 5. Suppose 4*u + 5*q + 8 = 3*u, -5*u = -5*q - 50. Let i be r(u). Is (-431*15/(-6))/(i/4) composite?
True
Let v = -31205 - -16574. Let c = -9358 - v. Is c prime?
True
Suppose 34*y = 162 + 8. Suppose 4*q = 3*p - 15971, -22000 = -5*p - y*q + 4595. Is p prime?
False
Let j(t) = 4*t. Let d be j(-1). Let n be ((-6)/d)/((-12)/(-2704)). Let g = -43 + n. Is g composite?
True
Suppose -664*y = -661*y - g - 18369, 0 = 2*g + 12. Is y a composite number?
False
Let y = -106 + 106. Suppose 1698 = -6*c - y*c. Let h = 714 - c. Is h prime?
True
Suppose j + 5*u - 24 = -j, -5*j - u = -60. Is (j/(-16))/(8/(-1184)) a composite number?
True
Let m = -513 - -515. Is (-574)/(-28)*(m + 12) a composite number?
True
Let a(k) = -14*k + 10. Let s be (-4)/(-14) + (-111)/21. Let h be a(s). Let m = 123 + h. Is m composite?
True
Let f(a) = 2*a + 1. Let d be f(4). Suppose 3 = -x, 0 = -5*p + 25*x - 20*x + 25. Suppose -p*v - 2*u + 1641 = 383, d = 3*u. Is v prime?
False
Let o(j) = -2*j**3 - 6*j**2 + 9*j + 27. Let r be o(-3). Suppose r = -32*n + 81*n - 610099. Is n prime?
True
Suppose 12*k = -1373 + 7493. Let x(o) = 30*o**3 + 1. Let u be x(3). Let j = u - k. Is j a prime number?
False
Let g be 22446/14 + (-12)/42. Suppose 0 = 8*h - 157 - g. Suppose -4*b = -6984 + h. Is b composite?
True
Let k(z) = -z**2 + 11*z + 39. Let g be k(14). Let s be (-988)/(g/(5 - -34)). Suppose -11*u + 477 = -s. Is u a prime number?
False
Suppose 0 = 2*c - x + 7 + 7, 0 = 2*x + 4. Let d(b) = 35*b**2 + 11*b + 19. Is d(c) prime?
False
Let z(m) = -1124*m + 181. Suppose -26*c = 258 + 80. Is z(c) prime?
False
Let j(d) = -11*d - 18. Let b be j(-3). Suppose -b*f = -16855 - 4400. Is f composite?
True
Suppose 4*l + 44 = -0*r + 2*r, 78 = 3*r - 3*l. Suppose -9*y - r = -14*y. Suppose y*c = -5*c + 22. Is c composite?
False
Suppose 0 = 3*s - 3*r - 24, -4*s - 5*r = -3 - 29. Suppose 3*c - 7605 = 4*x, -12*x - 12683 = -5*c - s*x. Is c a prime number?
True
Let g = 94 + 135. Let x(c) = c**3 - 4*c**2 - 12*c + 29. Let m be x(9). Let z = m - g. Is z prime?
True
Suppose -39 = -3*j - 39. Suppose -5*o - r + 1921 = -o, -o - 2*r + 489 = j. Is o composite?
False
Suppose 3*d - b + 202 = 4*b, 5*b = -3*d - 182. Let w = d - -67. Suppose -2*m - 6 = 0, w*s - s - 4*m - 176 = 0. Is s prime?
False
Suppose 0 = -11*o + 216012 + 232029. Is o a prime number?
False
Let s = -488 + 504. Suppose 2*y - a = 3650, 4*y - s*a = -19*a + 7280. Is y composite?
False
Suppose -2*t + 3*t = 519149. Suppose 42040 = -19*g + t. Is g a composite number?
False
Suppose 64*k + 83258 = -12486. Let m = k - -3975. Is m composite?
True
Suppose 7*y - 5*y - 336 = 0. Let m = 123 + y. Let n = m - 108. Is n a prime number?
False
Suppose 2*o + 2 = 4*z, -7*z + 3*z = o - 17. Suppose -5*b - 2*d - 3*d + 23125 = 0, 2*b - 9254 = -z*d. Is b a prime number?
True
Let d be (-2)/7 + 19064/(-14). Suppose -3*z - 10249 = 5*t, 17*t - 14*t = 2*z - 6157. Let h = d - t. Is h prime?
False
Let f(c) = 3*c**3 + 5*c**2 + 13*c + 18. Let s(b) = -4*b**3 - 6*b**2 - 13*b - 17. Let o(y) = -3*f(y) - 2*s(y). Is o(-9) prime?
False
Let u(j) = 173680*j**2 + 279*j - 5. Is u(2) a composite number?
True
Let x(r) = -559*r + 131. Let w be x(-10). Suppose 4*c + 1542 = -3*v + w, 2*c - 3*v - 2067 = 0. Is c prime?
False
Suppose -12*m + 2517531 = 488199. Is m prime?
True
Let r be (5/(-10))/((-3)/66). Suppose 3*u + 5*a - 2 = r, 4*a + 16 = 2*u. Suppose -u*b + 4136 = 2*b. Is b composite?
True
Let j be 10 - 5 - -720 - -4. Let l be (-15138)/(-8) - (-1)/(-4). Let v = l - j. Is v a prime number?
True
Let j = 3 - 4. Let w be (-6 - -13) + 3/j. Suppose -3*a + 149 = w*n - 1923, 0 = -n - 3*a + 509. Is n composite?
False
Suppose -460*n + 472*n = 149316. Is n prime?
False
Suppose 5*c = -36 + 46. Let w(n) = 6*n**c - 3*n - 11*n**3 + 8*n**3 - 5*n + 11 + 5*n**3. Is w(5) a