lse
Let p = 191 + 347. Let m(j) = j**3 - 2*j**2 + 19. Let l be m(12). Let f = l - p. Is f composite?
True
Is (-3)/(6/(-8) - 9594612/(-12793392)) a composite number?
False
Let l(x) = 3559*x + 85. Let k be l(-6). Is (-5)/(-2 + -3)*-1*k a prime number?
True
Suppose -5*z + 4*w = -37 + 5, 3*z - 4*w - 24 = 0. Suppose -i = -5*q + 1183, 14*q - 940 = 10*q + z*i. Is q a prime number?
False
Let y(z) = 4*z**3 - 7*z**2 + 2*z + 6. Suppose -13*t + 27 = -4*t. Suppose 0 = -2*l + 5*x + 25, -4*x + 9*x = -t*l. Is y(l) composite?
True
Let r be (-135)/(-10)*(-706)/(-3). Suppose 2*i - f = r, -i - 3*i + 3*f = -6349. Is i a prime number?
False
Let h(v) = 1828*v - 2045. Is h(99) a prime number?
False
Suppose 16*q + 8467 = -893. Let h = 1774 - q. Is h a prime number?
False
Suppose 0 = 5*q - 12 - 3. Suppose q*g = -2*y + 1409, -g + 0*y + 3*y = -477. Is g composite?
True
Let g be 1/(2/(-4)*(-4)/10). Let h be (2 - 1)/(-3) - g/3. Let m(i) = 123*i**2 + 4*i + 13. Is m(h) a composite number?
True
Suppose 2*y + 4 = 0, -4*l + 17 = -l - 4*y. Suppose 5*u - 647 = -3*k, k - 560 + 175 = -l*u. Is u composite?
False
Suppose -8578 = 2*a + 4*r, -a - 4259 = 38*r - 42*r. Let y = -2741 - a. Is y prime?
False
Let c be (-6)/(-2 - 28/(-20)). Suppose c*b + 37686 = -8364. Is (-1)/3*b + -4*1 a composite number?
False
Let d be (11771 - (-3 + -3)) + -1. Let z = 11085 + d. Is z a prime number?
True
Let t = 33675 - -11704. Is t prime?
False
Let t(f) = f**3 + 8*f**2 + 3*f - 17. Let p be t(-7). Suppose 1012 + 6270 = p*a. Is a prime?
False
Let p be ((-100)/2)/(-2) + -3. Suppose -5*w = -x - 18, -w - 2*w - 5*x + p = 0. Suppose -w*q - q = 4*n - 993, 3*n - 736 = 5*q. Is n prime?
False
Let v be 52/(6 + -1 + (-3 - 0)). Let w(u) = 0 + v + 115*u - 12. Is w(9) a prime number?
True
Suppose x = -2 - 1, -5*u - 5*x + 1005 = 0. Suppose -2*g + 3*a - u = -a, a = -4*g - 435. Let j = g - -287. Is j a composite number?
False
Is (212394 - 11) + (2 - 16) a composite number?
False
Let x = 331 + -155. Let g = 131 + x. Is g a prime number?
True
Suppose -10 = -2*d + 2. Suppose 4*l + 3*a + 3 = 0, -3*l = 2*l + a - 10. Suppose 3*j + 3*c = 3498, d*c = -2*j + l*c + 2335. Is j composite?
False
Let x(h) = h**3 - 20*h**2 - 20*h - 1. Let r be x(21). Suppose q = -4*q + r. Suppose 3*k - q*b = 9215, -4*k + 0*k - 4*b = -12240. Is k a prime number?
False
Suppose 5*y = -25, -2*s + 5*y + 42621 = 10466. Suppose 5*m - v = -3*v + s, 5*v - 9620 = -3*m. Is m a composite number?
True
Suppose -2*g + 145 = -c, -g + c - 15 = -90. Suppose 0 = g*h - 72*h + 15242. Is h composite?
False
Suppose 5*s = 3*l + 114881, 3*s - 14*l + 11*l - 68925 = 0. Is s composite?
True
Let p be (-145841)/(-10) + (-8)/80. Suppose -4*n + 24301 = 5*w, 4*w - n = w + p. Is w composite?
False
Is ((-250400)/(-7) - 1) + (-1320)/140 + 10 a prime number?
True
Let o = -163 - -178. Is 3 + -3*(-6230)/o prime?
True
Let x(n) = 75*n**2 + 100*n**2 - 31 + 5*n + 180*n**2 + 2 - 102*n**2. Is x(-9) composite?
True
Suppose 4*q = -2*w - 16, 2*q - 6*w - 4 = -4*w. Is q*((-1695)/2 - (-8)/8) a prime number?
True
Let t = 3406 - 1487. Let l = t - 48. Is l a composite number?
False
Let s = 91280 - 54601. Is s prime?
False
Suppose 8*s - 116 = 276. Suppose -48*z - 253 = -s*z. Is z a prime number?
False
Is 7367304/(-126)*(-3)/4 composite?
False
Is (2830422/(-56))/(1*(-21)/308) a composite number?
True
Suppose -1 = 3*x + 5*k, -2*x - 2*k - 16 = -6*x. Suppose 118208 - 23327 = x*f. Is f prime?
True
Suppose -5*s = s - 5952. Suppose 2*o + s = 6*o. Let z = o + 9. Is z prime?
True
Let d(k) = k**3 + 39*k**2 + 6*k + 9. Suppose 0 = -4*m + 15*m + 209. Let t be d(m). Suppose -4*r - r + t = 0. Is r prime?
True
Let x(p) = -39*p + 2240. Is x(34) composite?
True
Is (-12874200)/(-70) - 23/161 a composite number?
False
Suppose -12*p - 4*s + 78375 = -11*p, -2*p - 3*s + 156770 = 0. Is p composite?
True
Let a = 452 - -18158. Suppose -a = -10*i + 74260. Is i a composite number?
True
Let o = -904 - -1427. Let z = 1212 - o. Is z a prime number?
False
Let v(j) = -3*j**2 - 16 + 18*j + 30 + 4 + 4*j**2. Let u be v(-18). Suppose 1213 = -u*a + 19*a. Is a a composite number?
False
Let n = -159226 - -249573. Is n a composite number?
True
Suppose 15 = -3*k + 34*z - 39*z, 0 = k + 2*z + 6. Suppose k = -2*o + 10, 0 = -n + 2*o + 604 - 183. Is n prime?
True
Suppose 0 = 2*p + 2*m - 209232, 2*p = -8*m + 5*m + 209225. Is p a prime number?
True
Let a(v) = 2675*v - 299. Is a(20) composite?
False
Suppose -5*q = -3*j - j + 35786, 3*j - 5*q = 26842. Suppose 7*f + j = -2410. Let a = -784 - f. Is a prime?
False
Let o be (-2 + 20/15)/((-1)/12). Let b(a) = -4 + 7*a + a**3 - 1 - 3*a**2 - a**3 + o*a**3. Is b(5) a prime number?
False
Let s(g) = -12*g - 15*g + 11 + 12*g. Let v be s(-7). Suppose -9*r - v + 1583 = 0. Is r a composite number?
False
Suppose -b = 7*b - 6440. Let m = 1258 + b. Is m prime?
True
Let a = -39105 - -97022. Is a a prime number?
True
Let m(k) = 9871*k**2 - 3*k - 3. Suppose 3*g = 5*d - 0 - 8, 2*d - 2 = 0. Is m(g) composite?
False
Suppose 7*s = -y + 2*s + 82, 0 = -s + 4. Suppose -x + 6*x = 1900. Suppose y = -3*v + x. Is v composite?
True
Let b(s) = 388*s**2 + 11*s + 1033. Is b(-30) prime?
True
Let b = 742 - 463. Suppose -a = -4*x + 600, b + 7 = 2*x + 3*a. Suppose -x = -2*q - 47. Is q prime?
False
Suppose 0 = -3*q - 526 + 229. Let h = 195 + q. Suppose 82 + h = w. Is w composite?
True
Let l be (-10)/(-7)*105/15. Let c be 0 + l/5 + -3. Is (c - -5) + 134 + 11 a prime number?
True
Let l = 5055 - -10804. Is l composite?
False
Let k = 6579 + -3261. Let u = 5709 - k. Is u prime?
False
Suppose f + 81 = 4*g, 4*g + 2*f = 66 + 12. Let l = 144 + -15. Let t = l - g. Is t a prime number?
True
Let x(o) = -85*o - 18. Let n be ((-8)/(-10))/(3/(-15)). Let j be (-2)/n + 209/(-38). Is x(j) a composite number?
True
Let g = -67 + 61. Let c = -2 - g. Suppose -c*n + 5*i = -6897, -i = 5*n + i - 8613. Is n composite?
False
Let w = 62918 + -15999. Is w composite?
False
Let x be (-14)/21*9/(-2). Suppose x*t - 6 = 3. Suppose -3*j = -t*s - 946 - 560, 0 = -2*s - 6. Is j prime?
True
Suppose 3*z - 1823 - 580 = 0. Suppose -g - u + z = 0, 2*u = -3*g + 127 + 2272. Is g a prime number?
True
Let g = -1322 + 14698. Suppose -4*h - 3*k + g = 0, -h + 3*h - 6698 = k. Is h composite?
False
Let a = 12 - -3. Suppose 3*n + 3*g + g = a, 2*n - 5*g = 10. Suppose -4*w + 1600 = 4*t + w, -5*w + 1995 = n*t. Is t a prime number?
False
Let t(s) = 38*s - 109. Let y be t(3). Suppose 12*k - 7*k - 6240 = -g, 0 = -y*k - 5*g + 6260. Is k a composite number?
True
Is (253935556/(-252))/(-1) - 2/(-9) a composite number?
False
Let j(m) = m**3 - 25*m**2 - 322*m - 183. Is j(52) composite?
False
Suppose 3*b = n - 2 - 3, -4 = 4*b. Suppose o + 0*c = -n*c - 5, o + 4*c + 13 = 0. Suppose -a - 634 = -i, o*i + 5*a = 6*i - 1900. Is i a composite number?
True
Suppose 166*g - 162*g = 2*u + 897900, 3*u = g - 224465. Is g prime?
False
Is (-1)/((126/(-1098503))/18) a prime number?
False
Let y = -505 + 2708. Is y prime?
True
Let g(d) be the third derivative of 13*d**5/30 - d**4/4 + d**3/2 + 194*d**2. Is g(-7) composite?
False
Let o be (238/(-4))/((-33)/(-3828)). Let i = o + 17779. Is i composite?
True
Suppose -60*y + 8470356 = -117*y + 69*y. Is y prime?
True
Suppose -244*q - 973637 = -251*q. Is q a composite number?
False
Let t(s) = -62*s + 17. Let m(h) = 123*h - 33. Let w(n) = -5*m(n) - 9*t(n). Let q be (3/(36/56))/(28/(-42)). Is w(q) a prime number?
False
Let o = -50078 - -96297. Is o composite?
False
Suppose 0 = -4*l - 4*c + 3*c + 15, 3*l - 24 = -5*c. Suppose 7 = 2*o - l. Suppose 4*a - m = 440, -2*a - 2*a - o*m + 416 = 0. Is a a composite number?
False
Let r(n) = 3*n + 2*n**2 - 1 + n - 3 + 3*n. Let v be r(-4). Suppose v = g - 2872 + 693. Is g prime?
True
Let c(h) = -2039*h + 8. Suppose 35*t = 21*t - 98. Is c(t) a composite number?
False
Suppose 3*t + 2*t = 4*j + 9, t = -5*j + 25. Suppose -2*b + 4*z = -2, -3*b + 3*z + j = b. Let v(d) = 1026*d**2 + 4*d - 3. Is v(b) composite?
True
Let s(f) = 161*f - 1201. Is s(30) a composite number?
True
Let w(o) = 14*o**3 - 11*o**2 - 14*o - 5. Is w(24) a prime number?
True
Let m(d) = -d**3 + 24*d**2 - 45*d + 22. Let c be m(22). Let o be (-4)/(-22) - (-62)/22. Suppose c = 2*y, 0*g - o*y + 236 = 2*g. Is g composite?
True
Suppose 0 = 2*o + 166 + 116. Let s = 1496 - o. Is s a composite numbe