rue
Let r(f) = 2*f**3 - 5*f**2 - 10*f + 22. Let y be r(9). Suppose -2*w = 4*a - 2*a - 976, 2*w - y = -5*a. Is w composite?
True
Let i(k) = 183*k**2 - 11*k - 7. Let z be 1 + 2 - 1 - -3. Is i(z) composite?
False
Let j(b) = b**2 + 10*b + 17. Let m be j(-6). Let v(q) be the second derivative of -q**5/20 + 2*q**4/3 - 5*q**3/3 - 4*q**2 - 8*q. Is v(m) a prime number?
True
Suppose 34*q = a + 38*q - 59221, -5*a + 296252 = -q. Is a a prime number?
False
Let i be -1*(0 - -7) + 136181. Suppose 1830 = -8*y + i. Is y a composite number?
True
Suppose -1 + 1 = 5*y. Suppose 0 = 5*d + m - 41 - 39, -3*m = y. Let u(z) = z**2 + 6*z + 7. Is u(d) prime?
True
Let i = -3 + -2. Let p be (-3)/i + 11214/10. Let c = p - 643. Is c a prime number?
True
Suppose 0 = 5*p + 20, -3*q - 4831 - 6784 = -p. Let a = q - -6107. Is a a prime number?
False
Let a = -162210 + 343915. Is a a prime number?
False
Suppose 5*y - 30 + 5 = 0. Suppose 0 = -2*c - 3*c + 3*i + 42, 0 = y*c - 4*i - 46. Suppose -c*t + 2551 = -6533. Is t a prime number?
False
Let m = -95254 - -240963. Is m prime?
True
Suppose 0 = 1931*q - 987*q - 985*q + 11928499. Is q composite?
True
Suppose -9 = -5*v - 5*x + 6, -18 = 4*v - 2*x. Let f be 738/v - (10 - 10). Let c = 662 + f. Is c a composite number?
False
Let s(m) = -m**3 - 6*m**2 + 24*m - 27. Suppose -3*a = -d - 9 + 48, -29 = a + 5*d. Is s(a) prime?
False
Suppose -6*i + 244548 = 4*u - 2*i, 2*u - 122286 = -5*i. Is u a prime number?
False
Suppose -2429736 = -3*z + 3*v, 476*z + v - 4049578 = 471*z. Is z prime?
False
Let l(k) = -13145*k**3 - 5*k**2 + 2. Let a be l(-1). Let j = -8575 + a. Is j a composite number?
False
Suppose 45*b + 2 = 43*b. Is ((-26)/(-6) + b)/(54/90477) a prime number?
False
Let b(z) = 583*z**3 - 21*z**2 + 17*z - 5. Is b(4) composite?
False
Suppose 28 = 3*u - 5*r, 4*u - 12*r + 13*r = -1. Is (-28648)/(4/(-1))*u a prime number?
False
Let x(y) be the first derivative of -221*y**2/2 - 31*y - 14. Let a be x(-7). Suppose f - 1689 = a. Is f composite?
True
Suppose -9*i - 4*f = -14*i + 10367, -3*i + 3*f = -6222. Suppose i = -3*c + 14128. Is c prime?
True
Let y(l) = -8. Let r(n) = -n. Let q(c) = -r(c) - y(c). Let h be q(-5). Suppose 4*p - 6*x - 11062 = -h*x, 2*x = 4. Is p prime?
True
Let f(n) = -n**2 - 1. Let s(y) = -20*y**3 + 10*y**2 - 5*y + 14. Let g(i) = -5*f(i) - s(i). Is g(10) composite?
False
Let t = 6160 - 3448. Let r(a) = -a**3 - 22*a**2 + 105*a + 30. Let z be r(-26). Suppose -4*g + t = 4*y, 5*g + z*y = 2754 + 641. Is g composite?
False
Let s be 4 + (2 + 300)*3. Suppose -5*j - s = -270. Let g = 201 - j. Is g a composite number?
True
Let p(j) = -7*j - 1. Let y be p(1). Let r = 8 + y. Suppose -5*s + 143 + 122 = r. Is s a prime number?
True
Let v be -78*(45/(-2) + 7). Suppose 2*m = -3*r + 20611, -m = 3*r - v - 9101. Is m prime?
True
Suppose -1451 + 235 = 16*v. Is 8/(-76) + (-600180)/v a composite number?
True
Is (171686/4)/((-572)/(-1144)) composite?
False
Let j be 4/14 - 9297/(-21). Let q(u) = 6*u + 412. Let y be q(-68). Suppose -y*t - j + 148 = -3*k, 4*k + 3*t - 360 = 0. Is k a prime number?
False
Suppose 2*k - 4 = v, 4*k - 21 = -5*v + 1. Suppose 2*a - v = 8. Suppose 0 = -3*f + a*w + 1421, -3*f = f + 2*w - 1860. Is f a composite number?
False
Suppose -3*m = -5*h - 34901, -2*h - h = 2*m - 23280. Let a = -102 - -106. Suppose -a*x + m = 2921. Is x prime?
True
Let s = 26 + -23. Let w be -2*(s - 65/10). Suppose -w*u - 74 = -9*u. Is u a composite number?
False
Let g = 187780 - -37546. Is g a prime number?
False
Suppose 0 = 7*m - 8970 - 15474. Suppose -5*p - m = -v + 7182, -3*p = -4*v + 42713. Is v composite?
True
Let o be 4/54*-3 - (-11)/9. Is (-14 + 1)*(o + -90) prime?
False
Is (-7)/(-1) + (61248 - (-19)/((-38)/12)) composite?
True
Let k(s) = -19*s**2 + 1. Let d be k(1). Let w be 1 + 3 - 2*d. Suppose -2*j + w = -84. Is j a composite number?
True
Let k(i) = -i**3 - 11*i**2 - i + 9. Let y be k(-6). Is (-17)/(y/41 + 4) composite?
True
Suppose 5*q - 6*q + r + 2 = 0, -20 = 2*q + 4*r. Let l be -1 + q - (-288)/6. Suppose 0 = -2*m + 209 + l. Is m prime?
True
Let p = -46 + 98. Suppose 4*q - 4*m + m - p = 0, -3*q = 5*m - 39. Suppose 2*x + h - 103 = 0, -8*x = -q*x - 2*h + 257. Is x a composite number?
True
Let v be (-3)/((-9)/12*2). Suppose -3*b + 4398 = v*s, -2*s = -3*b - 4284 - 90. Suppose 0 = 6*a - 4545 - s. Is a a prime number?
True
Let z(f) = 7360*f + 5849. Is z(95) prime?
False
Let b(r) = 6862*r + 8. Let g(m) = 13725*m + 20. Let n(k) = -7*b(k) + 3*g(k). Is n(-1) a prime number?
True
Let p(a) = -2*a**3 - a**2 + 8*a + 13811. Is p(0) prime?
False
Let x(t) = 31*t**2 + 3*t - 6. Let y be x(-5). Let i = y + -525. Let m = i - 6. Is m a prime number?
True
Let u(k) = 171*k - 61 + 193*k + 551*k - 84*k. Is u(16) a prime number?
False
Is 22/5*151920/288 a prime number?
False
Suppose 52*w + 710549 = 711169 + 1477064. Is w prime?
False
Let g(z) = -132*z**3 + 8*z**2 + 6*z + 7. Let q be g(-5). Suppose -j - 3580 = -q. Is j composite?
True
Let i(f) be the second derivative of -12*f - 5/6*f**3 - 11/2*f**2 + 0 + 2/3*f**4 - 1/20*f**5. Is i(5) composite?
True
Let f(b) = -14058*b + 4. Let d be f(-2). Suppose d = 5*k - 8*n + 9*n, k = 3*n + 5608. Is k prime?
True
Is ((-10)/(-5))/(1/604781) + 1/1 composite?
False
Is (-5)/((-5)/(-4)) + ((-27)/(-3) - -157328) prime?
False
Let v(p) be the first derivative of 385*p**3/3 - 21*p**2/2 + 7*p + 56. Is v(5) composite?
True
Suppose -5*j = 2*c - 9709, 466*c = -5*j + 463*c + 9706. Is j prime?
False
Let p = -17350 + 26199. Is p a composite number?
False
Suppose -5*i - v = 2235, v + v + 10 = 0. Let h be (-1 - 2/10)*(-260)/(-39). Is (-4)/(h/i)*-1 a prime number?
True
Suppose -319*j = 138*j - 128205409. Is j composite?
False
Let q(g) = -g**3 - 6*g**2 + 5*g - 12. Let o be q(-7). Let r be (-18 + o)*12/(-12). Suppose -r*k + 12*k = -24. Is k composite?
True
Let i be (-4)/(3/9*2/(-138)). Let w = i - 172. Suppose w = 4*v - 948. Is v prime?
True
Let a be -4*((-195)/12)/(-5). Let f(s) = -23*s**2 - 7*s + 9. Let q(w) = -46*w**2 - 15*w + 19. Let n(h) = a*f(h) + 6*q(h). Is n(2) composite?
True
Suppose -5*a + 3*z + 321857 = 0, 77133 + 51613 = 2*a + 2*z. Suppose 0 = -7*g + a - 7686. Is g a prime number?
False
Suppose -2*p - 8 = -6*p. Suppose 4*l = 3*z + 1805 - 141, 3*l = p*z + 1249. Is l a composite number?
False
Let d(o) = 11*o - 14. Let w be d(8). Suppose 63*t + 43879 = w*t. Is t composite?
False
Let p = -413 - -427. Is (-29110)/(-4)*p/35 a prime number?
False
Let m = 38 - 43. Let l be 649/2*(-1 - (-5)/m). Let p = -62 - l. Is p a composite number?
False
Let w be (146/(-6))/(((-13)/150)/(-13)). Let r be (509/(-1))/(1/(-11))*-1. Let j = w - r. Is j a composite number?
False
Let w = 2068 + -964. Suppose -2*y = -5606 + w. Is y prime?
True
Let o(g) = -g**2 - 40*g - 106. Let f be o(-37). Suppose -4*d - f*h = -26858, 5*d - 7266 - 26315 = -2*h. Is d prime?
False
Suppose 0 = 5*y - 2*v - 45, 2*v - 36 = -y - 3*v. Suppose 60 - 16 = y*u. Suppose u*t + 4*f = 5032, -3*t + 6260 = 2*t - f. Is t prime?
False
Let f(x) = 693*x + 6689. Is f(30) composite?
False
Suppose -97*g = -3*g - 5202524. Is g a prime number?
False
Is (-12)/(-15) + -1*-223694*(-12)/(-40) composite?
True
Let s = -183 + 176. Let h(d) = -45*d - 92. Is h(s) a composite number?
False
Suppose -a = 228*a - 1262477. Is a a prime number?
False
Let n = 11 + -12. Let m be (462/8)/n*-4. Let h = 1616 + m. Is h a prime number?
True
Let r(m) = 467*m**2 - 375*m - 3041. Is r(-8) composite?
True
Let x(b) = 2*b**2 + 19*b + 12. Let h = -58 + 49. Let j be x(h). Let d(g) = 517*g - 16. Is d(j) prime?
False
Suppose 526214 = 8*f + 57*f + 9*f. Is f a prime number?
False
Suppose 12*v = 49 + 551. Suppose v*p - 4 = 54*p. Is (p + 786)*9/9 a prime number?
False
Let f = 252 - 249. Suppose 5485 + 6446 = f*i. Is i a prime number?
False
Let s be -7362*(1 + -2) + 5. Let q = s - 4506. Is q a prime number?
True
Let d(v) = 5*v + 65. Let m be d(-13). Suppose -2*o - r + 2279 = m, 4*r + 1637 = 3*o - 1798. Is o a prime number?
False
Let h = 4 - -1. Let n be h/(4/(1 + 3)). Suppose 0 = n*o - 430 - 205. Is o a composite number?
False
Suppose 8*o - 54348 = -13*o. Let m = o - 1401. Is m composite?
False
Let v(q) = -2 - 51*q - 144*q + 0. Let m be 35/(-11) - (-8)/44. Is v(m) prime?
False
Suppose -5753 = -4*o - 4*a + 11055, -3*o = a - 12600. Suppose 187 - o = -4*f. 