e
Is 2 + (-1)/((-13)/(-2)) + (-9275678)/(-481) a composite number?
True
Is ((-8202)/4)/((9/(-885))/((-2)/(-5))) prime?
False
Let r be (-375)/(-11) + 12/(-132). Suppose -35*c + r*c = -469. Is c a prime number?
False
Suppose 173*r - 1688251 = -186075 + 862561. Is r prime?
True
Suppose -406*c = -407*c + 1431. Let x(l) = 4*l**3 - 2*l**2 + 7*l + 5. Let y be x(-5). Let j = c + y. Is j a composite number?
True
Let k(a) = 1512*a**2 + 13*a - 317. Is k(16) a prime number?
True
Let l = -31888 + 105001. Is l prime?
False
Let v(w) = 1839*w + 236. Is v(23) prime?
True
Suppose -3*h = -n - 21148, 14122 = 237*h - 235*h + 4*n. Is h a composite number?
True
Let b(d) = -d**3 + 33*d**2 + 2*d + 14. Let y be b(30). Let z = y - 1896. Is z a composite number?
True
Suppose -3*a - 68*n + 73*n = -487749, 0 = 4*a + n - 650378. Is a prime?
True
Let s(a) be the second derivative of 293*a**3/6 + 77*a**2/2 - 19*a - 2. Is s(10) a prime number?
False
Suppose -2*h = 2*t - 21674, -54161 = h - 6*h + 3*t. Let p = h - 5123. Is p a composite number?
False
Let f(o) = -3*o**2 + 4*o - 2 + o**3 + 8*o - 6*o. Let t be f(3). Is 6576/45 - t/120 prime?
False
Let b(d) = 36*d + 48. Let i be b(-19). Let x = i + 4243. Is x prime?
True
Suppose -5*u - t = -33, -u + t = 2 - 5. Is 1213*u/(-4)*20/(-30) a prime number?
True
Let n(q) = 19461*q**3 + 10*q**2 + 6*q - 29. Is n(2) composite?
True
Suppose -4 = -l + 4. Suppose -l*j + 87466 = -6302. Is j a composite number?
True
Suppose 127*m - 126*m = 1357. Is m prime?
False
Let m(v) = 181*v**3 - 3*v**2 - 3*v + 4. Let w be m(-3). Let h(o) = o**3 - 28*o**2 + 39*o + 84. Let y be h(22). Let p = y - w. Is p prime?
True
Let s = 4452 + 43609. Is s composite?
True
Suppose x + 29*f - 33703 = 34*f, 4*x + 5*f - 134812 = 0. Is x a prime number?
True
Is -5227*(11/(-1) - 0)*(-15 + 16) prime?
False
Suppose -3*g + 123893 = 5*o, 33*g + o + 41287 = 34*g. Is g prime?
False
Is (3 + 154/28)*119014/7 composite?
True
Let j = -5864 + 3142. Is (j/6)/((-5)/105) a composite number?
True
Let m(l) = -27 - 56*l + 336*l - 54*l + 327*l - 14. Is m(12) a prime number?
False
Let v be 1 + 4 - (2 + 3). Suppose 0 = 5*d - 0*d - 5*n - 46020, v = 5*n + 15. Is d prime?
False
Let o = -931124 + 1447087. Is o a prime number?
False
Is (98652256/(-24))/19*18/(-24) a prime number?
True
Suppose 117*g + 193*g = -11*g + 65098479. Is g prime?
True
Suppose -4*t - 2*z = -12, -6*z = -5*t - 7*z + 9. Is 2064/3 - (6 - (t + 6)) a prime number?
False
Suppose -h = 4*y - 80951, -13*h + 14*h = -2*y + 80947. Suppose 43390 + h = 11*g. Is g composite?
True
Is (5 + -4)/(6 - (664979/110831 + 0)) a composite number?
True
Is (936/260 - 3/5)*61331/3 a prime number?
True
Let l(s) = s**2 - 14*s + 15. Let t be l(13). Is ((-1155)/(-10) + -4)*t composite?
False
Let d(y) = 5*y - 10. Let u(w) = 6*w - 11. Let x(a) = 5*d(a) - 4*u(a). Let s be x(6). Is (-1 - s)/((-2)/1158) composite?
True
Let f = 467 + -465. Suppose 2*d + f*a = 37266, 5*d + 16*a = 21*a + 93205. Is d a prime number?
True
Let d = -42 + 33. Let t(f) = 9*f**2 - 10*f - 11. Let c be t(d). Suppose c + 81 = j. Is j prime?
False
Is (-170)/(-5)*(-1042)/(-4) prime?
False
Let g(u) = -u**3 + u**2 + 47*u + 6. Let i be g(-11). Suppose -i - 3249 = -2*r. Is r a prime number?
False
Let v = -87 + 22. Let q be (10/v - (-56)/26)/(-2). Is 1*(627 - (-6 + q + 3)) a prime number?
True
Let t be 3 + ((-9)/(-4) - (-20)/(-16)). Suppose -2*m - 79833 = -5*q, -q - 5*m = -t*q + 47896. Is q composite?
True
Let t(s) = 2 - 191*s + 3 + 1 - 15. Let u(i) = -5*i + 21. Let l be u(5). Is t(l) a prime number?
False
Let v = -1496 - -1507. Let f(k) = -6*k + 7 + 7*k + 11*k. Is f(v) a composite number?
False
Let w be (-6)/(-2)*(12 - -7559). Let m = 35324 - w. Is m composite?
False
Let z = -9 + 1. Is z/(-20) + (-87165)/(-25) prime?
False
Let b be 1512 - (-2 - 0) - -3. Suppose 10*p - 1004 + 11464 = 0. Let j = b + p. Is j composite?
True
Let f(d) = 344*d - 176. Let p be f(-8). Let j = -117 - p. Is j a composite number?
True
Let n(z) = 147*z**2 - 9*z + 1. Let o be (-9)/(-6*(-4)/(-56)). Suppose -o = 11*v - 65. Is n(v) prime?
False
Let j = -19 - -28. Suppose 0 = -2*x + j - 1. Suppose -x*m + 1742 = 4*o - 2*o, -m + 2*o + 443 = 0. Is m composite?
True
Let g be (14/(-49) - 72350/(-42))*21. Suppose 2*p = -4*r + r + 14486, -5*p + 4*r = -g. Is p a prime number?
True
Let f(n) = 3*n - 81. Let c be f(29). Is (141/c - 0)*(21 + -19) a composite number?
False
Suppose a + 3*b - 6773 - 4392 = 0, 2*a = -3*b + 22348. Is a a composite number?
True
Suppose 4*m = -11*m + 9*m + 523542. Is m prime?
True
Is -1 + -5 + (-21 - (-56640)/24) a composite number?
False
Suppose 3*z - g = -4*g + 145305, 48429 = z + 4*g. Is z prime?
True
Suppose h - w - 460943 = 2177523, -3*h = -4*w - 7915395. Is h a prime number?
True
Suppose 123*d + 1290464 = 2406705 + 10620788. Is d prime?
False
Let d = -1147 - -1652. Let u = 480 - -1770. Suppose -u = -5*w + d. Is w prime?
False
Suppose 31*u - 499447 + 2094595 = 43*u. Is u a composite number?
False
Let z be (5 + 93/(-21))*(4 - -3). Suppose -3*x - 3*u = -5*u - 10293, 10311 = 3*x + z*u. Is x a composite number?
False
Is 0 - -5 - (1 - 21/7 - 39092) prime?
False
Let m(z) = -z**3 - 4*z**2 + 25*z - 4. Let n be m(-8). Suppose 46*l = n*l - 19398. Is l a composite number?
True
Suppose -3*s + 2*z = -z + 115689, 115681 = -3*s - 5*z. Let m = s - -65753. Is m a composite number?
False
Suppose 0 = -220*a + 142*a + 12063558. Is a a composite number?
True
Suppose -3*y = -22798 - 11618. Let v = y + -6877. Is v prime?
False
Suppose 173*n - 164*n - 2467251 = 0. Is n composite?
False
Let p = -575 + 581. Is -2 - (p - 4004) - 7 composite?
False
Suppose 29*j - 1092231 = 5*j + 6529857. Is j a prime number?
True
Let r = 28636 + 285225. Is r a composite number?
True
Let d = -15085 - -30902. Is d a composite number?
False
Suppose 22 = 11*u - 0. Suppose 0*i + 5*i + 10206 = u*g, 2*g - 10246 = -5*i. Is g a composite number?
False
Let y be ((-55)/(-3))/(6 - 591/99). Let k be 1/(-3) + 84/9. Suppose -k*f = -4408 - y. Is f composite?
False
Let y = 72 + -67. Suppose 0 = -l - 2*g - g - 15, y*g = 4*l - 25. Suppose l = m - 2, 2*m - 1035 = -5*o - 3*m. Is o a composite number?
True
Suppose 15*w = 14*w + 16. Suppose -m - w = 3*q, -2*m - 2*m - 2*q = 24. Is (-3 + 2)*((m - 0) + -6879) a prime number?
True
Let d(x) = -6*x**2 + x + 15. Let v be d(-13). Suppose 4*z = 2*f - 3894, 5*f - 9771 = 2*z - 4*z. Let q = f + v. Is q composite?
False
Let l(v) = 23864*v + 1737. Is l(34) prime?
False
Suppose 3*l - 3*f = 6, -2*l + 3*f = 3*l - 12. Is 3545 - (-5 + 2 - l) composite?
True
Let d(y) = 41423*y + 192. Is d(23) prime?
True
Is ((-1319883)/2)/(-19 + (-735)/(-42)) a composite number?
False
Let w be (-15)/(-75) + 3993/(-15). Let l = w - -535. Is l a prime number?
True
Let t be 5/(-15) - 64/(-12). Suppose -3*q - 4*y + 28223 = 0, -3*q + 19757 = -t*y - 8502. Is q prime?
True
Let p = 74945 - 14548. Is p a composite number?
False
Suppose 2*u + 4*b = 688642, 4*u - 23*b - 1377284 = -22*b. Is u prime?
True
Is (116 + -112)*(-72058)/(-8) a prime number?
False
Let p(l) = -338*l - 128. Let f be p(-10). Let y = f + -1691. Is y prime?
False
Let a = -713 - -778. Suppose -a*s + 53*s = -106068. Is s a prime number?
True
Let o(i) = i**2 - 19*i - 42. Let w be o(21). Suppose 4*f - 1182 = 2*z, 0 = -z - w + 5. Is f a composite number?
True
Let n(c) = -3075*c**2 - 13*c + 9. Let s(u) = 1537*u**2 + 6*u - 5. Let f(b) = -4*n(b) - 7*s(b). Is f(-2) a prime number?
True
Let i be -8 + (-1 - -3) + 1 + -2. Is (6 - 3) + i + 1476 + 9 a composite number?
False
Is 91458934/3550 + (-3)/(75/2) composite?
False
Let l(w) be the first derivative of -23*w**3/3 + 9*w**2/2 - 6*w + 1. Let k be l(3). Is (k/8)/(-3)*12 a composite number?
True
Suppose 4*v = 2*v + 18. Suppose v = 2*k + y, -5*k - 10 = y - 5*y. Suppose k*s - 1394 = -268. Is s composite?
False
Suppose o = 4*m - 8, o - 3*m + 2 + 3 = 0. Let z(c) = 330*c + 8. Let u be z(o). Let d = 1893 - u. Is d a composite number?
True
Let c = -146052 - -213335. Is c a composite number?
True
Let l = 1060672 - 509001. Is l a composite number?
False
Suppose -24*q = -22*q + 6, 3*r = -5*q + 472056. Is r a composite number?
True
Let i be (-6)/(-3) - (3 - 23)*461. Suppose 8*m = 80834 + i. Is m composite?
False
Let d(x) = -3*x**2 - 14*x + 5. Let a be d(-5). Suppose a = 5*f - 9*f + 