 k a prime number?
False
Let y = 53620 - 2427. Is y prime?
True
Let q(u) = -2150*u**3 - u**2 - 4*u - 4. Let d(p) = p**3 - 10*p**2 + 13*p - 39. Let g be d(9). Is q(g) prime?
True
Let r be -5*(-12)/15 - 1. Suppose 15 = -r*o, 210 - 1353 = -s + 4*o. Is s a composite number?
False
Let k(p) = -p - 6. Let f be k(-11). Suppose 6917 = 8*s - f*s - 2*v, 0 = s + 5*v - 2334. Is s prime?
True
Let c(d) = 36*d**2 - 124*d - 541. Is c(36) prime?
True
Suppose 1681*v - 1679*v = -3*p + 793647, 5*p - v - 1322732 = 0. Is p prime?
False
Let t be (-4 + -7 + 3)/(-2) + -2. Suppose -p + 3*d = -4815 + 82, -t*d = -p + 4736. Let k = p - 3145. Is k prime?
True
Let j be (19*(-5 - -8))/(-1). Is ((-116799)/j - -4) + 4/(-38) prime?
True
Suppose 3*b - 5*h = -6025, -3*h - 8043 = 3*b + b. Suppose -5*j + 3371 = -6*j. Let m = b - j. Is m composite?
False
Suppose -1 = -o + 5*f, o + 5*f = 3*o + 3. Is (6/4)/(61036/15256 + o) prime?
True
Is -1123*-4*10/(-60)*2082/(-4) a composite number?
True
Let y(t) = t**3 + 6*t**2 - 6*t - 3. Let r be y(-7). Let v be 27/(-6)*(2 - r/(-3)). Is 0 + ((-541)/(-3))/(2/v) prime?
True
Let x be ((-99)/(-44))/((-3)/(-736)). Let h = x - -1087. Is h a composite number?
True
Let w be ((-2)/(-10)*0)/(-1 - 1). Let o(y) = 2*y**2 - 5*y - 1. Let n be o(3). Suppose w = n*d - d - 89. Is d composite?
False
Suppose -142*d - 830614 = -1987488. Is d prime?
True
Suppose -8*d + 1590 = -370. Let j = d - 166. Is j prime?
True
Suppose 0 = 125*r - 1581164 + 282289. Is r prime?
True
Let s be 3 - ((-1)/3)/((-21)/(-1071)). Suppose 7*g - s*g = -55757. Is g a composite number?
False
Is ((-42)/32)/((-21)/(-362684))*-4*1 prime?
False
Let v(o) = o**2 - 27*o - 62. Let i(m) = -1. Let p(a) = 5*i(a) - v(a). Suppose h = -4*h - j + 95, 7 = -h + 5*j. Is p(h) a composite number?
True
Let i = 86 - 254. Is (-5)/(-6) - 4491340/i composite?
True
Let k = 44 - 47. Let o be (3 + k)/(2*-1). Suppose -2*l + 96 + 14 = o. Is l a composite number?
True
Is -15 + (2 - -4) + 6329 - 9 a composite number?
False
Let w(r) = -5*r - 3*r - r**2 + 5*r + 9 - 3*r. Let b be w(-7). Is (380 - 1)*(b - 1) a prime number?
True
Let z(p) = 927*p**2 + 22*p + 310. Is z(-9) a composite number?
True
Suppose -4*j = 30190 - 118418. Let n = j + -2890. Is n a prime number?
False
Suppose -2322364 = -4*p - 13*p - 27*p. Is p a prime number?
False
Let v(p) = 4*p**2 + 4*p + 2. Let i be v(-2). Suppose -i + 8 = -2*f. Is 2 + f/((-2)/(-1510)) composite?
False
Let y(u) be the second derivative of 5*u**5/4 - 11*u**4/12 - 17*u**3/3 + 21*u**2/2 - 51*u + 2. Is y(10) prime?
True
Let k(t) = 5*t**2 + 25*t + 1. Let m(x) = -12*x**3 + 2*x**2 - 3*x + 1. Let q be m(1). Let c = -22 - q. Is k(c) a composite number?
False
Let k = 7880 + 3431. Is k a composite number?
False
Let p(l) = l**3 + l**2 - 1. Let m(c) = 2*c**3 + c**2 - 11*c - 18. Let x(f) = m(f) - 3*p(f). Is x(-10) prime?
False
Let c(l) = 635*l + 111. Let b be c(2). Let n be (0 + -1)*-106*23. Let w = n - b. Is w composite?
True
Let b(r) = 170*r**2 - 48*r - 1287. Is b(62) composite?
False
Suppose -60*c = 438247 - 4939325 + 121258. Is c a prime number?
True
Let l(m) = m**3 - 9*m**2 + 17*m + 7. Let r be l(8). Let g(j) = 5*j**3 - j + 2. Let q be g(1). Let u = q + r. Is u a prime number?
False
Is (-13)/26*-2*167509 prime?
False
Let t = 443 - 118. Is (-50)/t - 647289/(-39) composite?
True
Suppose 92*u - 30 = 102*u. Let i = 8 + 7. Is (4 - 4315/i)/(1/u) a prime number?
False
Suppose z + 4 = -3*s, -4*z - s - 6 = -6*z. Is (z - 50/8)*-764 composite?
True
Suppose -5222*u + 5224*u + 2*k - 887542 = 0, -2*u - k = -887544. Is u composite?
True
Is -11*(-236 + -15 + 0) prime?
False
Suppose p = 3*c + 2735, 3*c - p = 4*c + 909. Let h = c + 592. Let j = 1884 - h. Is j a composite number?
False
Let d(b) = -309*b + 6. Let j be d(3). Let p = j + 1718. Is p a composite number?
False
Let u = -143 + 187. Suppose 10517 = u*j - 123375. Is j a prime number?
False
Let x = -158291 - -409342. Is x prime?
True
Suppose 51*l + 9606565 - 43588928 = 4*l. Is l a composite number?
False
Let r be 1/((-1)/(-17)*(-1)/(-15)). Suppose -r*j - 164665 = -260*j. Is j a composite number?
False
Let a(f) = -496*f + 67. Let d be a(-15). Suppose 0 = 3*u - 2*r - d, r + 5 = 6*r. Is u prime?
True
Let k(c) = -c**3 + 24*c**2 + 51*c + 30. Let o be k(26). Is 320/(-96)*-3*202/o composite?
True
Suppose -3*l + 93944 = -2*b - 59287, -4*l - 4*b = -204328. Is l a composite number?
True
Let f = 300 + -305. Is f + ((-2)/6)/(18/(-808596)) prime?
True
Let o be 1/1 + (-6)/6 + 68. Let i(x) = 3 + o*x - 33*x + 7*x + 106*x. Is i(13) a prime number?
False
Suppose 0 = -28*v + 76281 + 52697 + 735746. Is v prime?
False
Let b(z) = -z**3 + 3*z**2 + 6*z - 5. Let p be b(4). Suppose 0 = 5*y + 2*l - 44 + 103, -y = p*l + 17. Is 21281/143 - 2/y composite?
False
Let h(m) = -70*m**2 - 2 + 31*m**2 - m + 1522*m**3 + 42*m**2. Is h(1) composite?
True
Let t = 15 - -112. Let z be (0 + 1)*(17 + 4). Let s = t - z. Is s a prime number?
False
Suppose -5*l - 7 + 12 = 0. Let z be l + 8 + -3 + 6. Is 0 - 28/z*-3 composite?
False
Let v = 125707 - 83426. Is v a composite number?
False
Suppose -27*w + 3227842 + 64675 + 2340412 = 0. Is w prime?
True
Suppose 5 = -3*j - 1, -34 = -3*f - j. Suppose -2*i + 31324 = 4*a, i + 23503 = 4*a - a. Suppose -f*c + 15*c - a = 0. Is c a prime number?
False
Let h(s) = 6*s - 4*s - 8 - 24 - 15. Let k be h(23). Is (-11440)/(-15) - k/3 a prime number?
False
Let u be -325*((-15)/12 + (-5)/(-20)). Suppose -5*c + u = -4*c - 5*a, a + 947 = 3*c. Suppose -3*n + c = -1248. Is n a composite number?
False
Let j(n) = 22719*n - 16. Is j(3) a composite number?
False
Let h = 2816699 + -1889692. Is h a prime number?
True
Suppose -168*r + 95*r + 87*r - 5062078 = 0. Is r a composite number?
False
Suppose 4*u - s - 1316529 = 0, u - 208504 = 2*s + 120637. Is u prime?
False
Let x be ((-12)/36)/(3/(-3033)). Let c = 1252 + x. Is c a composite number?
True
Suppose -2*a + 14583 = 2*q + 3023, 3*a + 4*q - 17336 = 0. Let o be (-11)/(-2) + 3/(-6). Suppose -o*c + a = 1069. Is c composite?
True
Suppose 15171291 = 98*m + 73*m. Is m prime?
True
Suppose -3*o + 65 = -8*o. Let d(j) = -4*j**3 + 18*j**2 + 37*j + 2. Is d(o) prime?
True
Suppose f + 12*d = 15*d + 183633, -2*f + 367266 = d. Is f a prime number?
False
Let f(j) = 16795*j**2 - 34*j - 380. Is f(-5) a prime number?
False
Suppose -6*f = 145 - 7. Let b = f + 25. Suppose a = 3*c - 527, b*c - 3*a - 2*a - 334 = 0. Is c composite?
True
Let v = -9086 + 14631. Is v a prime number?
False
Let u(p) = 1094*p**2 - 1211*p + 92. Is u(15) composite?
False
Let h(r) = r**3 + 9*r**2 - 8*r + 32. Let a be (1 + 0)/((-8)/80). Let s be h(a). Is ((-8)/s)/(2/(-10131)) composite?
True
Suppose -2*b = -5*b + b. Suppose 31*x - 27*x - 8 = b. Suppose 4*c + 588 = x*y + 6, 5*y - 1455 = 4*c. Is y prime?
False
Suppose 0 = -k - 13 + 11. Let z be 25/k*18/(-45). Suppose 3*x = 3, -z*x = -3*i - 0*x + 1756. Is i a prime number?
True
Let o(a) = -531*a - 59. Let j(z) = -2*z - 1. Let d(g) = 2*j(g) - o(g). Is d(11) prime?
False
Let r(d) = 8 - d**2 + 3*d - 19 + 20 + 2*d**2 - 2*d**3. Let t be r(-6). Let i = t + -310. Is i a composite number?
False
Let j(u) = -8*u**2 - 19*u + 8. Let w(n) = 16*n**2 + 39*n - 15. Let d(h) = -5*j(h) - 2*w(h). Let c(b) = -b**2 - 12*b + 12. Let f be c(-12). Is d(f) prime?
False
Let i = 50917 - 32690. Is i prime?
False
Suppose p = 2*m - 1911, -4*m + 2*p = -m - 2864. Is m prime?
False
Let k(p) = -3*p + 2. Let t(f) = -4*f + 1. Let u(o) = 3*k(o) - 2*t(o). Let i be u(0). Is 3/((-5)/(i - 59)) prime?
False
Suppose 37*r + 520 = 39*r. Let n = -176 + r. Let v = n - -34. Is v composite?
True
Suppose 3*w - 37 = -2*r + 8*w, -2*r + 17 = -w. Suppose -r*b + 8435 = -b. Is b a prime number?
False
Suppose -32*z - 72 = -56*z. Suppose 3*j - 35088 = z*g, -j - 3*g - 285 = -11993. Is j prime?
True
Let u(t) = 3*t**3 + 9*t**2 + 25*t - 11. Let d be u(10). Suppose -3*s = 2*g - 3133, -5*s = -s - 5*g - d. Let x = s - -2. Is x a prime number?
False
Suppose -x + 6*x = -15. Let w be (5/(-15)*x)/((-2)/(-10)). Suppose 9*h - w*h = 4324. Is h composite?
True
Let g(z) = z**3 + 17*z**2 + 13*z + 28. Suppose -2 = v + 1. Let a be (1 + v)/((-16)/(-104)). Is g(a) a prime number?
False
Let w(z) = 25307*z**2 - 89*z - 327. Is w(-4) a composite number?
False
Suppose 4*a - 24 = 4*m, 0 = -4*a - m + 19 - 0. Suppose -5*q = -4*