 1. Let i(l) = -6*a(l) + b(l). Let c be i(-2). Suppose 2*v - c = -124. Is v a prime number?
False
Let v be -2 - (-16358)/10 - 21/(-105). Suppose 8*t + v = 7018. Is t a composite number?
False
Suppose 18*m - 27964 = 3140. Suppose 23632 = 8*o + m. Suppose -3*u + c = -o, 0 = -u - 0*u - 4*c + 917. Is u composite?
True
Let r = 60 - -44. Suppose 3*l + 5*v = 681, 13*l - 11*l + 4*v = 454. Let m = r + l. Is m composite?
False
Is 2 + ((-2)/(-3) - ((-5896680)/18 + -5)) composite?
True
Suppose 19*x - 67542 = 172979. Is x a composite number?
False
Let o be 1/((-20)/(-59515)*2/(-8)). Is o*2/(-6) - (-38)/(-57) a prime number?
True
Suppose -4*d - b + 6 + 0 = 0, d - 4*b - 10 = 0. Suppose d*l = 7151 - 2033. Let o = l - 1082. Is o prime?
False
Let m be 252/3*(9 + -1 + -9). Is 6/m - 426526/(-28) a prime number?
True
Is (1877136/64 + 17)*4 a composite number?
False
Let m(q) = -q**3 - 8*q**2 + 7*q - 8. Let f be m(-9). Let d be 4/5*(f/(-4) + 5). Is (-1 + 406)*(-3 + 4) + d composite?
True
Let j(s) = -2*s**2 + 5*s + 5. Let h be j(3). Suppose 5108 = -h*u + 6*u. Is u a composite number?
False
Suppose -5*c = 146*x - 145*x - 863966, 691176 = 4*c + 4*x. Is c a prime number?
False
Let v(i) = 1442*i**2 - 5*i - 5. Let a be v(-2). Suppose 8*p = -7555 - a. Let q = p - -2357. Is q a composite number?
False
Suppose r = 6*r - 20. Let h be ((-16)/(-12) - (-1)/(-3))*3. Suppose r*g + h*w = 121, w + w = -3*g + 91. Is g a prime number?
True
Suppose 577*u = 1160*u - 584*u + 145993. Is u prime?
False
Suppose -137524 = -4*m - 2*c, 5*c - 104527 = -2*m - 35765. Is m a composite number?
False
Let f be 276/27 + (-30)/135. Suppose -f*b + 92930 = -0*b. Is b prime?
True
Let v = 84 + -114. Let h be (-12)/(-5)*v/(-12). Is (17142/(-12) + h)/(2/(-4)) composite?
True
Suppose 2*x + 7450 = 5*y, 3*y - 2*x - 4451 = 3*x. Let b = -2031 + 2034. Suppose -4*p + y - 243 = c, c = b*p - 928. Is p a composite number?
False
Let k(g) = 59*g**3 + 2*g + 3. Let n be 4/(((-5)/(-20))/((-2)/(-8))). Is k(n) prime?
False
Let v = 333506 + -114067. Is v a prime number?
False
Suppose -5*d + 25300 - 17612 = -185642. Is d a composite number?
True
Let f be (-6)/(-10)*5 - (-8)/(-1). Let y(v) = 106*v**2 + 4*v - 9. Let i be y(f). Let j = i - 1812. Is j a prime number?
True
Suppose m = -2*m + 24. Let y(r) = -r**2 + 7*r + 4. Let p be y(m). Is 370 + (-8)/p + 1 a composite number?
False
Let z(y) = 48*y + 268. Let c be z(-5). Suppose 4*l + 5*v = 39613, -26*l - 19799 = -c*l - v. Is l a composite number?
True
Suppose 5*v - c - 4*c - 72810 = 0, -5*v + 72828 = 4*c. Suppose 0 = 7*q - 11*q + v. Is q prime?
False
Suppose 2*v + 5*o = 18675, 37345 = 4*v + 7*o - 2*o. Suppose 4*z + 2979 = v. Is z a composite number?
True
Let h be (-7)/(-2)*(-7)/(14/(-8)). Suppose -118426 = -8*v - h*v. Is v a prime number?
False
Suppose 49*f + 372918080 = 369*f. Is f a composite number?
True
Suppose 917851 + 128039 = 2*a - z, -3*z = -5*a + 2614723. Is a a composite number?
False
Let s(m) = -m + 7. Let a(k) = 69*k - 10. Let i(c) = -a(c) + s(c). Let b be (6/4)/((-6)/56). Is i(b) a prime number?
True
Let m(d) = 8*d**3 - 4*d**2 - 9*d + 19. Let t be m(-8). Let o = t - -6530. Let u = o + -1158. Is u a prime number?
False
Suppose -3*d = -1 + 7, 5*m = d - 467423. Is 4/(28/m)*1/(-5) a composite number?
False
Suppose -3*t + 2*r = -10, 3*r = 4*t - 11 - 4. Is (t + 19354)*((-63)/(-6) - 10) a prime number?
True
Suppose 121 = -i + 124. Suppose 5*u = -5*s + 610, i*s + 5*u - 32 = 336. Is s prime?
False
Let i(k) = 405*k**3 + 5*k**2 + 3*k. Let j be i(3). Suppose 0 = 3*o - 5*n + j, 4*o + n = 6*o + 7319. Let r = -2273 - o. Is r a prime number?
False
Let d(h) = h**3 + 3*h**2 - 14*h - 8. Let i be d(3). Suppose i*z - 6*q + 10*q = 32864, 0 = -z - 3*q + 8210. Is z prime?
True
Let t(w) = 2470*w + 149. Is t(12) prime?
True
Let f(s) = -18*s - s**3 - 3 + 18*s + 9*s**2. Let o be -2 + (-3 - -7) + (1 - -1). Is f(o) a composite number?
True
Let h(m) = -50*m + 20. Let o be h(-2). Suppose o*p - 4915 = 115*p. Is p prime?
True
Let l(y) = -487*y**3 + 13*y**2 - 8*y - 109. Is l(-6) a prime number?
False
Let g = -23 + 27. Suppose -2*l = 2*l - g. Suppose -5*j = m - 918, 2*j - 3 = -l. Is m a composite number?
True
Let p(n) be the second derivative of 193*n**3/3 - 13*n**2/2 + 21*n. Is p(1) composite?
False
Let w be 37 - 4/(-4 - -3). Let a = w - -35. Suppose 4*n + 3*j - 7*j - a = 0, -n - 2*j = -7. Is n composite?
True
Let x(n) = 903*n + 3. Let q(o) = 3611*o + 13. Let d(v) = 2*q(v) - 9*x(v). Let h be d(1). Let k = -415 - h. Is k composite?
False
Let y = 2628 - -185. Is y a prime number?
False
Let p = 690173 + -59638. Is p prime?
False
Suppose 3*v - 46924 - 50541 = -2*c, 0 = -2*c - 5*v + 97467. Is c composite?
False
Let t(m) = m**2 + 29*m + 49. Let g be t(-27). Let i(q) = 134*q**2 + 4*q + 29. Is i(g) prime?
True
Is ((-12)/(-4))/((-33)/(-4229159)) a prime number?
True
Let h(p) = 109866*p + 10037. Is h(9) composite?
False
Suppose 0*v + 945 = 9*v. Let c = 237 - v. Let m = 577 - c. Is m a prime number?
False
Suppose -2*b + 0*b + 175226 = -2*w, 3*w = 4*b - 350452. Suppose -103943 = -3*h + 2*j, 4*j = 2*h - b + 18323. Is h a composite number?
False
Suppose 0 = 111*r + 1768948 - 7445756 - 4789493. Is r composite?
False
Let i = -65891 - -42747. Let x = -16196 - i. Suppose -4*n + x - 2455 = -3*m, -3*n + 2*m = -3369. Is n composite?
True
Suppose 767*g = 706*g + 16749319. Is g a prime number?
True
Let a = 24868 + 1764. Suppose a = 4*m + t, 5046 = 4*m + 3*t - 21578. Is m a prime number?
True
Let g(o) be the third derivative of 2*o**5/5 + 2*o**4/3 - 23*o**3/6 - 53*o**2 - 2*o. Is g(20) prime?
False
Suppose -3*j + 4*t = 8, 0 = -3*j + j - 3*t + 23. Suppose -j*n = -1802 - 1346. Is n a composite number?
False
Is (-5537012)/699*(-6)/8 prime?
False
Suppose -5*x - 2*b = -331395, -2*b + 5*b + 132577 = 2*x. Is x a prime number?
False
Is 51895467/141 + 34/799 composite?
True
Let w(i) = 59006*i**2 - 750*i + 3021. Is w(4) a prime number?
False
Suppose 4*o = 2*q - 12 + 36, 20 = -q - 2*o. Let x(b) = 7*b**2 - 13*b + 47. Is x(q) a composite number?
True
Suppose 0 = -4*y + b + 5, 6*y - 5*b - 9 = 2*y. Is (-10)/(-14) - y - 721755/(-315) a composite number?
True
Suppose -147 = -3*j - 3. Suppose 44*h + 20 = j*h. Suppose h*y - 2*d = 5585, -2*d = -0*y + y - 1117. Is y composite?
False
Let f(b) = -b**2 + 7*b - 8. Let y = -112 - -115. Let v be f(y). Suppose 579 + 5305 = v*j. Is j a prime number?
True
Let b = 20 - 10. Suppose 0 = -5*m + b, -4*g = g - 3*m - 1104. Let s = -103 + g. Is s a prime number?
False
Let o(y) be the second derivative of -5449*y**3/6 - 49*y**2 + 265*y. Is o(-3) a composite number?
False
Let t(b) = -403*b**3 + 1181*b**3 - b**2 - 3*b + 1 + 3*b**2. Is t(2) prime?
False
Let x(f) be the second derivative of 293*f**3/6 + f**2/2 + 4*f. Let c be x(9). Suppose 0 = b + b, 2*d - c = 4*b. Is d a prime number?
True
Let l = -6 + 11. Suppose 10010 = -10*b + 10020. Is (l + -4)/(1*b/3761) composite?
False
Suppose 45*t - 30 = 55*t. Is 6/12 - (5847/(-2) + t) composite?
False
Suppose -10 = -2*q + 4. Suppose d + 6 = -r, q = -4*r - d - 2. Is (-481)/26*r*(13 + 1) a prime number?
False
Let u be -1*(5/25 - (-21)/(-5)). Suppose 5*z - u*x = -306, 3*x - 245 = -2*z + 6*z. Is (155/31)/((-1)/z*2) a composite number?
True
Let n be ((-1)/(-2) - (-15)/(-10))*27. Let o = n + 31. Suppose -159 = -o*j + j. Is j a composite number?
False
Is 8071506/(-984)*(-68)/3 prime?
False
Is -479634*((-1130)/(-420) + -2 - (-12)/(-14)) prime?
True
Suppose -26*d = -41*d - 375. Is 293/((d/(-5))/5) prime?
True
Let z(a) = -18*a + 16*a**2 + 5*a - 1 + 14*a. Is z(4) a prime number?
False
Let d(m) = -m - 3. Let v(b) = 464*b - 80. Let k(y) = d(y) + v(y). Is k(3) a prime number?
False
Let p(x) = -8*x**3 - 15*x**2 - 8*x - 18. Let i be p(-9). Suppose 2*h = 2*g + 19856, -g = -4*h - i + 44392. Is h a prime number?
True
Suppose 5*t = 5*a + 119870, 0 = 65*a - 70*a - 25. Is t a prime number?
False
Let j(l) = -3*l + 5. Let u(o) = 2*o**2 - 16*o - 22. Let w be u(9). Let p(t) = 3*t - 6. Let q(b) = w*j(b) - 5*p(b). Is q(-19) composite?
False
Let q(h) = -343*h + 39. Suppose 33 + 2 = -7*s. Is q(s) prime?
False
Let u = -3498 - -14525. Is u prime?
True
Suppose 24 = 4*z, 0 = -45*n + 46*n - 4*z - 345385. Is n a composite number?
True
Let k(z) = 2*z**2 + 21*z - 16. Let u = 18 + -23. Let c(j) = 2*j - 7. Let