3. Let i(v) be the third derivative of o(v). Is i(8) composite?
True
Let h be ((-2)/(-4))/(15/30270). Let t = h + -212. Is t a composite number?
False
Suppose -1310 = -5*j - 3375. Let h(s) = -55*s - 151. Let u be h(8). Let p = j - u. Is p a composite number?
True
Let x be ((-3)/18*-4)/((-1)/6). Is 541*(30/20 - (-2)/x) prime?
True
Suppose q - 7 = 0, 3*p - 192*q - 717656 = -197*q. Is p prime?
False
Suppose -8 - 2 = -5*l. Suppose -l*g = -2*o + 3684, -7 = 4*g - 27. Is o a composite number?
False
Let t(b) = -2*b**3 + b**2 + 5*b + 2. Let d be t(-5). Suppose -2*k + d = -0*k. Let f = k - 52. Is f composite?
True
Let g be 0/(-1*(-8)/4). Suppose g = 3*q - 15263 - 11734. Is q composite?
False
Suppose 0 = 4*i + 5*b - 32, 4*b + 16 - 8 = i. Let s(z) = 160*z**2 - 17*z - 25. Is s(i) composite?
False
Suppose -305*f + 146427873 = -45*f + 7*f. Is f composite?
True
Is (1117362/(-12))/((40/(-32))/5) a prime number?
False
Suppose -3*q + 25 + 17 = 0. Suppose -10 - q = -6*r. Suppose -p + r = -9. Is p composite?
False
Suppose z - 2*s - 1 = -3, -z - 32 = 4*s. Let t be -3*(-4)/z - -10. Let b(p) = 8*p**2 + 2*p + 8. Is b(t) composite?
True
Suppose -2*t + 4*t - 44 = 0. Let f = 25 - t. Suppose -f*c + 5413 = 2*l, 4*c - 5*l - 8980 = -c. Is c a prime number?
True
Suppose 0 = -3*o + 18*o. Suppose o = -89*d + 82*d + 3283. Is d prime?
False
Is (-711532)/(-6)*1/(-2)*-3 prime?
True
Suppose -124581 - 19663 = -5*t + t. Is t a composite number?
False
Let x = -105 + 108. Let v(o) = o**3 - 3*o**2 + o + 1. Let z be v(x). Let k(p) = 71*p**3 - 2*p**2 + 10*p - 5. Is k(z) a composite number?
False
Let h(a) = 10082*a + 39. Is h(4) composite?
True
Let m(c) = 49*c - 151. Let p be m(3). Suppose 4*i = -5*v + 4, -3*v = -2*i - 0 + 2. Is (-1*(-2067)/(-12))/(i/p) prime?
False
Let g(f) = -f**3 - 2*f**2 - f - 1. Let z be g(-2). Suppose -7*j + 22 = z. Suppose 2*v + j*s - 414 = -s, -2*v = -2*s - 390. Is v prime?
True
Let i(r) = 16*r**2 - 6*r + 5. Let s(q) = 19*q + 50. Let d be s(-3). Is i(d) composite?
True
Let a(r) = -r**2 + r + 1. Let d(y) be the first derivative of 26*y**3/3 + 11*y**2/2 - 22*y + 15. Let i(m) = -6*a(m) + d(m). Is i(6) prime?
False
Suppose -c + 7*l - 3*l - 21158 = 0, 0 = 3*c - 4*l + 63506. Let o = c + 39815. Is o a prime number?
False
Suppose 15*u - 246561 = 1066074. Is u a prime number?
True
Let b = -36670 + 130319. Is b composite?
True
Let n(a) = a**2 - 19*a + 22. Let w be n(18). Suppose w*j - 104 = 5312. Suppose 2*i = l - i - 682, 0 = 2*l + 4*i - j. Is l a prime number?
False
Suppose 0 = 580*v - 429*v - 82403569. Is v composite?
True
Suppose a = 3*r - 434, -3*r - 2*a = 2*r - 738. Let i = r - 168. Is ((-6)/(-12)*-17)/(1/i) a composite number?
True
Suppose 0 = -3*s + 1322 + 17095. Suppose 7*v + 413 - s = 0. Is v prime?
False
Suppose g + 25 = -5*b, 3*b + 3*g + 1 + 2 = 0. Let i(h) be the third derivative of -39*h**4/8 + 11*h**3/6 - 177*h**2. Is i(b) a composite number?
True
Let w = -349112 - -559443. Is w composite?
True
Let v be 7 + -3*(2 - 3) + -1. Let z(k) = -k**2 + 11*k - 19. Let n be z(v). Is n*(4/(-1))/4 + 370 a composite number?
True
Let b(g) = -g**3 + 21*g**2 - 29*g + 21. Let v be b(17). Let s(j) = -27*j - 4. Let w be s(5). Let o = v + w. Is o a prime number?
False
Let w be (6296/10)/((-1)/(-5)). Let g(l) = -3*l**2 + 59*l - 36. Let p be g(19). Suppose 0 = p*y + 2*y - w. Is y a prime number?
True
Let d(q) = 7*q + 42. Let n(g) = 6*g + 43. Let b(s) = -5*d(s) + 4*n(s). Let z be b(-4). Is (3314/z)/(7/(4 + 17)) a composite number?
False
Is ((-44502404)/(-1166))/(-1 + (-52)/(-44)) a prime number?
True
Let m = 63401 + -22278. Suppose 2*o + m = 19*o. Is o composite?
True
Suppose 45*y - 338811 = 12*y. Is y composite?
False
Is 10/(-195) - (-780565523)/1209 a composite number?
False
Suppose -10*l + 6*l + 93424 = 0. Suppose 0 = -0*h - 4*h + l. Is h a prime number?
True
Suppose 6*z - 2*z = 256. Let s be 2 + z/(-30) - (-172)/(-60). Is -1*(-260 + s/1) prime?
True
Let n = 26 + -22. Is (-74)/4*-87*n/6 a prime number?
False
Suppose 2*v = 4, 3*i - v + 2*v - 65 = 0. Suppose -26*r = -i*r - 635. Is r a composite number?
False
Let g(o) = -o**3 + 19*o**2 + 20*o + 7. Let h be g(20). Is h*(8 + -2 - -67) prime?
False
Suppose -21*v + 985459 = 8*v + 2*v. Is v prime?
False
Let h(x) be the second derivative of x**4/12 - x**3 + 2*x**2 + 9*x. Let w be h(6). Suppose 2*j = w*m - 78, 0 = 5*m - 3*j + 7*j - 130. Is m composite?
True
Let w(n) = -2*n**2 + 12*n + 6. Let x be w(0). Suppose r = x*g - g + 809, -g - 3949 = -5*r. Is r prime?
False
Suppose 3*t + 66 = 6*t. Let u = t + -18. Is ((-193)/u)/((-4)/80) prime?
False
Suppose -24*j - 267 = -27*j. Let m = j + -87. Suppose -2*a - 4*f + 506 = 0, -m*f = 5*a + 3*f - 1260. Is a a composite number?
False
Let t(r) = 510*r**2 - 33*r + 350. Is t(17) a prime number?
True
Suppose -5*a - g - 170 = 0, 38 = -4*a + 3*a - g. Is (-6 - a/6)/((-2)/38596) prime?
True
Let s = 8 + -12. Is ((-2)/(-10) - -1)/(s/(-3310)) a composite number?
True
Suppose 0 = 5*l, 0 = -a - a + 2*l. Suppose a*r - 3*r = r. Suppose 3*f + q + r*q = 188, -q + 250 = 4*f. Is f a prime number?
False
Is -5 + -1 + 9 + 152088/6 a prime number?
False
Let x(l) = 23*l - 46. Let t be x(2). Suppose 5*a + 5 = t, 3*d - 4*a = 4*d - 250. Is d a prime number?
False
Suppose 16*h = -95*h + 310578. Is h composite?
True
Suppose 6 = n + 12. Let a(c) = 3*c + 12. Let t be a(n). Is (3/t)/(2*(-4)/5552) composite?
False
Let p be -5*(-1 + 42/35). Is p/(-2)*(-6 + 5)*-5444 a composite number?
True
Let n = -408 + 412. Let k(m) = 34*m**3 - 4*m**2 - 2. Let a be k(-3). Is a/(-2) + (-6)/(-2 - n) a composite number?
False
Suppose -3*x = 2*s - 4*x - 69238, -3*s + 103857 = -4*x. Is s composite?
True
Let h(w) be the third derivative of 5/6*w**3 + 0*w + 0 + 167/6*w**4 - 21*w**2. Is h(1) a composite number?
False
Let h = 93678 + -60529. Is h prime?
True
Suppose -5*s + 1110 = -2*s. Suppose b = 5, -6*u + u - 5*b = -s. Let g = u + 428. Is g prime?
False
Let t(b) = b**3 - 34*b**2 - b + 51. Let u be t(34). Let k(x) = -491*x + 122. Let v(a) = -164*a + 41. Let j(i) = -6*k(i) + 17*v(i). Is j(u) a composite number?
True
Let d be (5011 + -2)*(-5 - -3)*1. Let i = -6039 - d. Is i prime?
False
Suppose 4*b = -5*b + 375507. Is b composite?
True
Suppose 3*v = -f + 14, f = -4*f - 2*v + 31. Suppose -2*x - 3*x + f = 0, 2*x - 6 = 2*p. Is (382/4)/(p/(-4)) a prime number?
True
Let p be (0/27)/(-2*2/(-4)). Suppose 0 = -4*x - 3*y + 23, 2*y + 18 = -p*x + 4*x. Suppose -6*a + 127 = -x*a. Is a composite?
False
Let m be (-2*2/14)/(3/(-21)). Suppose 0 = 4*t + 3*p + m*p - 1048, 3*t = 2*p + 763. Is t prime?
True
Suppose -5*o + 34 + 26 = 0. Suppose -4*v + 11*k = o*k - 3821, 5*v - 4774 = k. Is v composite?
True
Suppose 16*j = 8*j + 115272. Let y = j + -9246. Is y a composite number?
True
Let t(s) = 669*s + 6. Let p be t(-3). Let u = -550 - p. Is u prime?
True
Suppose -130651 = -43*s + 126532. Is s prime?
True
Let d(c) = 7279*c - 1726. Is d(77) a prime number?
True
Let h = 15 - 13. Suppose 0 = h*y - 4*g + 6, 0*y + 3*g - 5 = 2*y. Is ((-1)/y)/(3/381) a prime number?
True
Let i(j) = -j**2 - 9*j - 6. Let z be i(-7). Suppose -z*y = -3*y - 175. Is 14/y - (-2153)/5 a prime number?
True
Let y = 346 + -339. Let s(f) = 1595*f - 36. Is s(y) composite?
True
Suppose 0 = -2*l + 5*m + 21937, m = -7*l + 5*l + 21943. Is l + (-21)/7 + (-1)/(-1) composite?
True
Let l = 15222 - 3079. Is l prime?
True
Is 2690995/29 + (-9600)/(-435) + -22 prime?
False
Let p(c) = 6*c**3 - 13*c**2 + 11*c + 9. Let u(l) = 6*l**3 - 13*l**2 + 12*l + 10. Let b(s) = 3*p(s) - 2*u(s). Is b(6) composite?
True
Suppose -25420448 = -141*j - 5128997. Is j prime?
False
Let f be (1 - 9/(-12)) + 21/84. Suppose -f*s - 3489 = -9783. Is s a prime number?
False
Let q = -6147 - -11476. Suppose 6*h - 12695 = q. Suppose 527 + 216 = k - 3*y, 0 = 4*k + 4*y - h. Is k a prime number?
False
Let h(i) = -i**3 + 49*i**2 + 32*i - 19. Suppose -43*d + 1001 = 12. Is h(d) composite?
True
Suppose 0 = -97*r + 171*r - 117172266. Is r prime?
False
Let i be 60/390 - (-77658)/26. Suppose 0 = -4*y + i + 1769. Is y a prime number?
False
Suppose 0 = 16*b + 32 - 112. Suppose -461 - 518 = -o + y, 0 = -b*y. Is o a composite number?
True
Let v(g) = -26*g - 18 - 4 - 38 - 49. Is v(-16) composite?
False
Let b(g) = g**3 + 9*g**2 + 13*g - 8. Let z be b(-7). Let x be 3 + 0/(-2) + z