number?
False
Suppose -3*g + 512 = -115. Let w = g - -168. Is w prime?
False
Is (-84)/252*-3*10651 a composite number?
False
Let p(f) = -2*f**2 + 23*f - 24. Let z be p(9). Suppose -4*j + z*j - 127109 = 0. Is j a prime number?
True
Let t(d) = 6*d**3 - 3*d**2 - 66*d + 76. Is t(15) composite?
False
Let c be (1235/(-19))/(3/(-219)). Let f = -3192 + c. Is f a composite number?
False
Let s be (15/20*-50)/(1/(-2)). Is (-9372)/(-7) + s/525 prime?
False
Suppose 5*y = -2*p + 29927 - 407, -4*y + 23616 = 2*p. Suppose 5*j + j - y = 0. Let q = j + -677. Is q prime?
True
Let f = 543 - 600. Is (-36)/(-16)*(-290396)/f a prime number?
False
Let q = 358 + -636. Let z be -1*q/(-1 - (3 - 2)). Let o = z + 470. Is o prime?
True
Let w(a) be the third derivative of 22*a**5/5 + a**4/4 - 7*a**3/6 - 2*a**2. Suppose 5*l = 2*c - 19, -2*l + 950 - 958 = -c. Is w(c) a prime number?
True
Suppose 2*x + 3*x + 3*f = 0, 2*f = -3*x. Suppose x = -3*y + 2*y - 1. Let j(n) = -496*n**3 + 2*n**2 + 2*n + 1. Is j(y) a composite number?
True
Let v(g) = -g - 4. Let z be v(8). Let n be (0 - 0) + z + 7 + 2. Is (4/16)/(n/(-12372)) composite?
False
Let y = 72449 + 380846. Is y prime?
False
Suppose -4*o - 5*a = -130561 - 159034, -4*o - 2*a = -289586. Is o a prime number?
False
Let u = 229 + -237. Let b = u + 447. Is b a prime number?
True
Let a = 124480 + -72699. Is a composite?
True
Let j be 4/30 + 2 + (-4488)/(-90). Let g = j - 48. Suppose x - 3 = 4*x, -g*x - 801 = -m. Is m a prime number?
True
Let h be (-1 - -2)/((-23)/69). Is 1 + (-474)/(-9) - (-2)/h a prime number?
True
Let q be (-1935)/(1*1/(-2)). Suppose 5*f - s + q = -2*s, -4*s = 5*f + 3885. Let z = f + 1164. Is z prime?
False
Suppose 4*f + 3*t - 74251 = 148009, -4*t = -2*t. Is f prime?
False
Let a(v) = 24*v - 6*v - 14*v. Let j be a(2). Suppose 9*q - 485 = j*q. Is q composite?
True
Is 3 + 0 + (-17)/7 + 19085839/7 a prime number?
False
Let u be (3/9)/((-8)/72). Let i be (-4)/u*((-164)/8 + 1). Is i + 23 - (-1058 - 0/(-2)) composite?
True
Let d = 78 - 74. Let a be (-2)/2 + (-1868)/(-1). Suppose h = 3*h - k - 933, -a = -d*h + k. Is h prime?
True
Let r(f) = 19*f + 308. Is r(75) a prime number?
True
Suppose -2*l + 3*l = -4*l. Suppose 3*x + x - 36 = l. Suppose 3*y - x = 0, y + y - 3181 = -5*s. Is s a prime number?
False
Let w(p) = -83*p**2 - 23*p - 19. Let x(f) = 41*f**2 + 11*f + 9. Let u(m) = 2*w(m) + 5*x(m). Is u(12) composite?
True
Suppose y = -5*d + 6*d - 11, 5*y + 19 = d. Is 5793/2*6/d prime?
True
Suppose 86*u = 51*u + 368935. Is u prime?
False
Let a = 3908 - -7989. Is a a composite number?
False
Let f(y) = 23*y - 92. Let q be f(4). Suppose 20*c - 61997 - 314143 = q. Is c composite?
True
Let j = 5482 - -9085. Is j a composite number?
True
Suppose -262*d + 35*d + 15438610 = -6371323. Is d a prime number?
True
Let h = 1172631 + -604942. Is h a composite number?
False
Let s(h) = -557*h**3 - h**2 - 8*h + 19. Is s(-3) a prime number?
True
Suppose -20*h + u + 206330 = -15*h, 0 = -h - 4*u + 41287. Is h prime?
False
Let s be 0/(-6) - 6 - -2171. Suppose 52 = 3*a - s. Is a prime?
True
Let t(h) = 1067*h**3 + h**2 - h. Suppose 2*y + 14 = -4*u, 0 = u - 0*u + 5. Suppose y*c + 26 = 29. Is t(c) prime?
False
Suppose 1 = 3*u + 7. Let h(b) = -123 + 40 + 38 + 94*b**2 + 46 - b. Is h(u) prime?
True
Is ((-478948)/(-8)*-2)/(14/(2058/(-21))) a composite number?
True
Let m(l) = -10518*l - 7067. Is m(-26) a composite number?
False
Let m(j) be the second derivative of 1315*j**3/3 + 101*j**2/2 + 142*j. Is m(3) prime?
False
Suppose 44 = -2*c + 6*c. Let p(n) = -263*n + 23. Let v be p(c). Let r = v + 5065. Is r a prime number?
False
Let j(s) = -2*s**2 - 10*s + 6. Let q be j(-5). Let l(c) = 379*c + 124. Let w(k) = 126*k + 41. Let f(t) = q*l(t) - 17*w(t). Is f(6) composite?
False
Is (3 - 115482/3)/(6 - 7) composite?
True
Let l(z) = 3106*z**2 + 11*z + 2. Is l(-3) composite?
True
Suppose 0 = -21*k - 22*k - 29*k + 4605624. Is k a composite number?
True
Let r be (1 - (0 - 0)) + 39 + -33. Suppose 14271 = r*k - 1444. Is k composite?
True
Let k(w) = -w**2 - w + 3. Let x be k(0). Suppose x = -3*d, 0 = 2*n - 5*n - 3*d + 4788. Suppose 4*o = n + 2071. Is o a prime number?
False
Let x = 75 - 91. Is (490572/x)/(-9) + (-6)/(-24) prime?
True
Suppose -11*a + 381 = 3*h - 7*a, -2*a = -h + 137. Suppose -138*i + 66367 = -h*i. Is i prime?
False
Let m be -5 - -3285 - (-12)/(-2). Let n = 5855 - m. Is n a composite number?
True
Let l be (-5)/2*(-52)/65*-38. Let z = -74 - l. Suppose -z*o = -5*o + 3369. Is o prime?
True
Suppose 0 = 2*w + 4 - 0. Let f be 1*-2*353/w. Let x = -130 + f. Is x a composite number?
False
Let h be 8/(-12)*(1 - -158). Suppose -d - 248 = -2*g + 54, 0 = -3*g + 3*d + 447. Let b = h + g. Is b a composite number?
False
Let b = 42 - -48. Suppose a - b = 323. Is a a prime number?
False
Let p = 4813 + 4382. Suppose 8*r + p = 23*r. Is r composite?
False
Suppose 0 = -4*v + g + 53158, 4*g + 26558 = 2*v - 0*g. Is v a prime number?
True
Let u(c) = 886*c**2 + 6*c + 19. Let z be (-1 + 3)*(-12)/8. Let l be u(z). Let a = l - 5462. Is a a prime number?
False
Let k = -76878 + 168649. Is k a prime number?
True
Let y be (-72)/(14/(-21) + 0). Is (63972/y)/((-5)/3 - -2) a composite number?
False
Suppose 5*w + b = 520, -4*w + 4*b = 130 - 546. Let o be 16/w - (-126)/26. Suppose 2*u - 4*u + 714 = -o*k, 5*k + 1755 = 5*u. Is u prime?
True
Suppose 2*y - 646776 - 1165385 + 324187 = 0. Is y a prime number?
True
Suppose 3*z - 1476136 - 510710 = 0. Is z composite?
True
Let l be ((-185)/(-4))/(6/48). Is ((-1012)/110)/((-4)/l - 0) prime?
False
Let m(r) = 15916*r - 549. Is m(5) a prime number?
True
Suppose 0 = -127*l + 3594541 + 3710118. Is l a composite number?
True
Let c be (-1)/((-14)/88) + (-14)/49. Is (-862470)/(-75) - c/10 composite?
True
Is 214627/(-7)*(0 - 3) a composite number?
True
Suppose -3 + 3 = -14*y. Suppose 14*c + 2*c - 29104 = y. Is c a composite number?
True
Let v(p) = -285*p - 224. Let b(j) = 95*j + 75. Let o(h) = 7*b(h) + 2*v(h). Is o(6) prime?
True
Let b(o) = 15*o**2 - 10*o - 20. Let m be (11 + -11)*(-1)/4. Suppose -2*l - 11 + 33 = m. Is b(l) a composite number?
True
Let y be ((-783)/(-54))/((-3)/(-3834)). Suppose -11*f + 28208 = -y. Is f composite?
True
Suppose 6*t - 30784 = -58*t. Is t a composite number?
True
Let z = 145947 - 90076. Is z prime?
True
Suppose -4*s + 3*p = -5041, 0 = 2*p - 2. Let a = s + -720. Is a a composite number?
False
Suppose 1412*u = 1409*u + 72141. Is u composite?
True
Let f(c) = 4*c + 1165. Suppose -3*i + 14*i = 22. Let v be ((0/(-1))/(-9 - -10))/i. Is f(v) prime?
False
Let s(f) = 9*f**3 + 4*f**2 - 42*f + 86. Is s(3) a prime number?
True
Let b = 2113620 - 1459366. Is b prime?
False
Suppose t - 1772 - 13 = 2*y, -7128 = -4*t + 5*y. Is t composite?
False
Let l(c) = 5566*c**2 + 3*c + 1. Suppose 0 = 3*j - 12*j - 18. Is l(j) composite?
False
Let y be (10 - 8) + -2 - -35. Suppose -110895 = -50*b + y*b. Is b a composite number?
False
Let f be 1/((-1)/(-6600)) - (261 - 264). Suppose 0 = 3*s - 288 - 246. Suppose 5*g = f - s. Is g composite?
True
Let c(r) = 7*r - 144. Let i be c(21). Suppose -2*v - i*k + 3371 = 0, 0*v - 4*k - 6712 = -4*v. Is v a composite number?
True
Suppose 89 = 5*c + 34. Suppose -34 = 6*b + c*b. Is 59*(-93)/6*b a composite number?
True
Let p(t) be the second derivative of 18*t - 5/6*t**3 + 0 + 11*t**2. Is p(-9) a composite number?
False
Let d = -643 - -642. Is 3 + 2 + d + -8 + 5673 a prime number?
True
Suppose 139*k - 21841047 = -5139224. Is k a prime number?
True
Let m(d) = d**3 - 12*d**2 + 23*d - 1. Let c be m(3). Is 1 - 17682/c - 6/39 a composite number?
False
Let n(w) = w**2 + 17*w + 20. Suppose -5*p - 60 = -5*z, -z + 4 = -2*z. Let g be n(p). Suppose g*t = 1231 + 541. Is t composite?
False
Let i(o) = -28*o**3 + 5*o**2 - 33*o - 11. Is i(-16) a composite number?
True
Let w = -330 - -1503. Let p = w + -420. Is p a prime number?
False
Let v(c) = 2032*c**2 + 89*c - 4. Is v(-11) prime?
True
Suppose 98799 = 4*o - 5*b - 17138, -86952 = -3*o + 3*b. Is o prime?
False
Let u be ((-66158)/(-152))/((-1)/60). Let k = -16202 - u. Is k composite?
True
Suppose 100 = -6*q - 20. Let d be 5/(q/264)*(-82)/(-4). Is 3 - (d - 1 - 4) prime?
True
Suppose 13*v = 5*p + 12408845 + 6668323, 2934933 = 2*v + p. Is v prime?
False
Let d(l) = 6*l + 52. Let f be d(-7). Suppose -9*c -