0. Is p prime?
False
Let m(c) = c**3 + 8*c**2 + 4*c - 14. Let b(r) = r**3 + 25*r**2 - 25*r + 19. Let x be b(-26). Let s be m(x). Suppose 7*w - 22834 = -s*w. Is w a prime number?
False
Let l(t) = 3*t**3 - 2*t**2 - 2*t + 1. Let c be l(-2). Let x be 1/(-3) - 9/(c/13000). Suppose -2*j + 5*v + x = 0, -5*j + 5*v + 13607 = 2797. Is j a prime number?
False
Let m = 12525 + -3518. Is m prime?
True
Let h be 5/10 - (0 - (-1)/2). Suppose -i + h*i - 31229 = -3*c, 3*c = -3*i + 31209. Suppose 0 = 8*k - c - 7440. Is k a composite number?
True
Suppose 2*l - 463 = 9. Let q = 3213 + l. Suppose -v - 4 = -3, -3*d = 4*v - q. Is d a prime number?
True
Let o(n) = -n**3 + 4*n**2 - 2*n + 2. Let x be 2*(1 - 2/(1 + -3)). Let i be o(x). Is ((-443)/(-2))/((-3)/i) a prime number?
True
Let w be (-14)/(1/1*(-4)/14). Let a = 48 - w. Let k(g) = -1500*g**3 - 3*g - 2. Is k(a) prime?
False
Suppose -2*x + 32692 = -47*y + 50*y, -5*y - 65362 = -4*x. Is x a composite number?
True
Suppose 4*a - 283530 = 2*f - 49578, -5*a = 2*f - 292449. Is a composite?
True
Suppose 4*s - 7 = 9. Suppose -3*x + s*b - 3*b - 11 = 0, -2*b = -2*x - 14. Is (x - -4)/(6/4533) a composite number?
False
Suppose 37*x - 30*x - 77 = 0. Suppose -5*u = -57889 - 71111. Suppose u = x*j - 34381. Is j a composite number?
False
Is 1/((-21)/5 + 4) + 346174 a composite number?
False
Is 4948600/32 - (-126)/(-168) prime?
True
Let x(k) = 2121*k + 67. Is x(8) composite?
True
Let a(l) = 61*l**3 + 3*l**2 + 10*l + 7. Let c be a(-5). Is ((-54)/(-81))/((-2)/c) a prime number?
True
Let r = 40539 - -984. Is r a prime number?
False
Suppose -44 - 112 = 26*c. Is 18682/3 + 2/c prime?
False
Suppose -4*b - 440 - 593 = 3*x, b + 258 = -x. Let q = 1718 + -1152. Let t = q + b. Is t composite?
False
Let o(b) be the first derivative of -19*b**4/2 - b**3/3 - 5*b**2 + 5*b - 15. Is o(-4) prime?
False
Let v(s) = 119*s**2 + s - 4. Let n be v(6). Suppose 237*x - 277*x = 74920. Let j = n + x. Is j composite?
True
Is 122/(-732) + (-1098019)/(-6) a composite number?
True
Suppose 0 = -n + 5*y - 15, 8*n + 5*y = 10*n + 15. Suppose 5*t = 2*u - 14444, n = 3*u - 0*u - 3*t - 21657. Is u prime?
False
Suppose -395 = -8*q + 405. Suppose q*a + 36165 = 103*a. Is a a composite number?
True
Is 14 - (-583)/(-44) - 3206*(-849)/24 a prime number?
False
Let c(m) = -328*m + 9. Let y(k) = 14*k**2 - 1. Let d be y(1). Suppose -d*f - 21 = -6*f. Is c(f) composite?
True
Let z = 460 - 2041. Let n = -628 - z. Is n composite?
False
Let x(w) = -w**3 + 5*w**2 - 3*w - 7. Let a be x(3). Let i(y) = 8*y**3 + y**2 - 3*y - 3. Let s be i(-2). Is a*(-1 - 57*s/6) prime?
False
Let a(j) = 3*j**2 - 22*j - 2. Let w be (-2 - -18)/(1 - 2). Let b be a(w). Suppose k = 2*c - 2*k - 437, 0 = 5*c + k - b. Is c composite?
False
Let t(s) = -5*s**2 - s + 136. Let p be t(23). Suppose 3*m - 53 = 7. Is 6/15 - p/m composite?
False
Let p = 594244 + -255195. Is p prime?
True
Let m = -15853 - -102384. Is m a composite number?
False
Let v be (-51626)/(-14) - (-8)/(-14). Suppose -5*a + 2*y = -v, 38 = -4*a + 3*y + 2989. Is a a composite number?
True
Suppose 4*z - 366 + 2158 = 0. Let y = -113 - z. Let v = y + -224. Is v composite?
True
Suppose 0 = 4*l + 9093 - 261. Suppose o + 5*k + 3719 = -0*o, 0 = 2*k. Let a = l - o. Is a composite?
False
Suppose 311 - 286 = 5*w. Suppose 4*j - 7856 = 3*j + w*h, 5*j = -4*h + 39193. Is j a prime number?
True
Suppose -680964 = -481*m + 475*m. Suppose m + 16976 = 30*f. Is f a composite number?
False
Let s = 120834 - 38377. Is s a prime number?
True
Suppose k - 42621 = 5*q, 170533 = 3*k + 4*q + 42632. Is k a prime number?
False
Let i(h) be the first derivative of 887*h**5/30 - h**4/4 - h**3 - 43*h**2/2 + 42. Let c(f) be the second derivative of i(f). Is c(-1) prime?
False
Suppose 3*v = -5*f - 50, 3*f + 16 + 10 = -v. Let z be (-2)/(-5 - f)*-9. Is (-13323)/z*15/(-5) a composite number?
False
Suppose -20 = -3*n - p + 3*p, -3*p - 12 = 0. Suppose 156*y - 109*y - 84*y = 333. Is ((-2004)/y)/n - (-8)/6 prime?
False
Let z(m) = 82*m**2 - 404*m + 101. Is z(-55) a composite number?
False
Suppose 6*q - 13 = 5. Let f be 0 + q + -3*(-3 - -4). Suppose f = 10*j - 29253 - 13537. Is j composite?
True
Let z(x) = -6*x**2 - 5*x - 5. Let u be z(-6). Let t = -22 - u. Is t prime?
False
Suppose 2*p = -268*v + 266*v + 49566, v = -8. Is p composite?
True
Suppose 0 = v - 0*v - 5. Suppose v*g - 2*g = -g. Suppose g = -4*k + k + 5847. Is k composite?
False
Suppose -3*d - 9 = 0, -5*z = -d + 35106 - 119714. Suppose -5*h + z = x - 4*x, -5*x = 2*h - 6787. Is h a composite number?
True
Suppose 4*g = -z + 1, -3*z = -4*g - 2*z - 1. Let h(u) = u + 4. Let k be h(g). Suppose -7765 = -k*f + 5*b, 4*f + b - 11240 = -3457. Is f prime?
False
Let p(m) be the first derivative of -4*m**3/3 + 21*m**2/2 + 12*m - 2. Let i be p(15). Let s = 964 + i. Is s a composite number?
True
Suppose 2*o + 3*z + 4 = 20, 0 = -2*o - 5*z + 24. Is 4108 - (o/(2/(-5)) + 2) a prime number?
True
Let s(m) = -14*m - 162. Let k be s(-12). Is ((-16)/(-24))/(k/198981) composite?
False
Is 118/3*33690/20 prime?
False
Suppose 20 = 115*l - 110*l. Suppose 0 = -l*t - 5*f - 1025 + 6474, -5*t - 5*f = -6810. Is t a composite number?
False
Suppose -308286 = -3*w + 5*u, w + u - 56445 = 46309. Is w prime?
False
Suppose -8906*t + 8905*t + 178387 = 0. Is t composite?
True
Suppose -3*r + 143073 + 62666 = -4*w, 2*r = -3*w + 137131. Is r prime?
False
Let p = 43712 - 22732. Suppose 18*q - p = -2*q. Is q composite?
False
Suppose -32*y + 64 - 32 = 0. Suppose 4*m = -3*a - 16 - 10, 4*m = -2*a - 24. Is (y/1 - a) + -4 + 870 a composite number?
True
Let c(a) = 29*a - 67. Let n(r) = -r - 2. Let k(v) = -c(v) + 2*n(v). Is k(-34) composite?
False
Suppose k = -34*i + 31*i + 103418, 4*k - 413757 = 5*i. Is k a composite number?
True
Suppose -645151 + 5129946 = 35*t. Is t a composite number?
True
Suppose -7169 = -4*n + 44775. Let g = -6465 + n. Is g composite?
False
Let q(x) = x. Let z be q(4). Suppose -790 = -z*d - d. Let p = d - -116. Is p prime?
False
Is ((-7960386)/816)/(1/(-8)) a prime number?
False
Let p = -62 - -80. Suppose 5*z - p = -28. Let h(d) = -60*d**3 + 3*d**2 + 2*d - 1. Is h(z) composite?
False
Let j be 4194/2 + 5/((-10)/6). Suppose 0 = s - 0*l - l - j, 3*l - 15 = 0. Is s a prime number?
True
Is (-14 - -15) + 8 - 6056/(-2) a composite number?
False
Let x = -161 + 174. Suppose 0 = -x*g + 8*g + 17855. Is g prime?
True
Is -20 - -1 - (-17969 - -17) a prime number?
False
Let w be (4*18/(-24) - 2500)*-1. Suppose s + 0*s - w = 0. Is s a composite number?
False
Let f(v) = 49*v**2. Let a be f(2). Suppose -4 = -o + a. Let g = o - -423. Is g composite?
True
Let u = 87497 + -38550. Is u prime?
True
Suppose t + 5*q = 247332, -4*q - 745201 = -4*t + 244151. Is t a composite number?
False
Let p be 10/((-12075)/(-12061) - 1). Let h = 21937 - p. Is h a prime number?
False
Suppose -9*w + 7*w = 5*g - 1156735, -4*g + 2*w = -925388. Is g a prime number?
True
Let c(d) = 10*d**3 - 11*d - 34*d**3 + 7*d**2 - 14 - 3*d**2 + 28*d**3. Is c(7) a composite number?
True
Let a(s) = s - 22. Let n = 129 + -107. Let q be a(n). Suppose q = -20*b + 24*b - 28. Is b prime?
True
Let c = 3771 + -2450. Let y = 43 - -1025. Let w = y + c. Is w a prime number?
True
Suppose 389622 = 1890*l - 1888*l. Is l prime?
False
Let r(s) = s**3 + 5*s**2 + 3*s - 1. Let o be r(-4). Suppose 4 = 4*f - 2*n, -68*f + 72*f - 5*n = 10. Suppose f = -o*a - 29 + 92. Is a prime?
False
Suppose 20157002 = 325*q - 147*q - 144*q. Is q a composite number?
False
Let l be (-4)/8 + (-10038)/(-4). Suppose -4*m + l + 423 = 0. Suppose -2*n + 757 = -m. Is n composite?
True
Suppose -3*r = -5*h - 12, -10 + 2 = -4*h - 2*r. Suppose h = -32*l + 30*l + 33590. Is l a prime number?
False
Let l = -269728 + 502907. Is l prime?
False
Let h(b) = -219*b - 256. Let n(t) = 109*t + 127. Let u(m) = 2*h(m) + 5*n(m). Is u(8) a prime number?
False
Suppose j - 87241 - 17836 = -s, -j = -6. Is s a prime number?
True
Suppose -505*j + 463*j = -2295174. Is j prime?
True
Suppose 45*h + 17*h - 20*h = 0. Suppose 18*z + 2*z - 329860 = h. Is z a composite number?
False
Is 1552123 + (-323)/(-19) + 3 a prime number?
False
Suppose -5*n + 27228 = z, 93*n = z + 89*n - 27246. Suppose 10*w - z = -10748. Is w composite?
True
Let q(b) = -4840*b - 5. Let x be q(-3). Let a = -8954 + x. Is a composite?
True
