e number?
False
Suppose h = 3*v + 221464, v - 219533 = -2*h + 223381. Is h prime?
False
Let w(p) = -38*p**3 + 21*p**2 + 15*p + 17. Let b = 192 + -200. Is w(b) a prime number?
False
Is 155045 - (-4 + (-15 - 5)) a composite number?
False
Let x = -194406 - -313835. Is x composite?
False
Let k(t) be the first derivative of -t**4/4 + 2*t**3 - 5*t**2/2 + 4*t - 1. Let u be k(5). Is (312 + -5)/(-3 + u) a prime number?
True
Suppose 5*r = -189*s + 185*s + 497123, -s - 6*r = -124295. Is s prime?
True
Let s = -1486398 + 2283837. Is s prime?
False
Is (6/(-8))/(79/316) - -265024 composite?
False
Let w(d) = -d - 9. Let o = -52 - -41. Let j be w(o). Suppose -j*v = 3*q - 3545, -v + 3544 = 3*q - 0*v. Is q a composite number?
False
Suppose -3*u = -5*t + 2267723, 0 = 2*u + 596 - 604. Is t prime?
False
Let s = 6 - 4. Suppose -t + 3*t - 2*m - 10 = 0, -3*m = -s*t + 12. Suppose 3*j - 621 = t*k, -4*k + 8*k - 438 = -2*j. Is j a composite number?
False
Let w be (4 + (-7)/2)*5736. Let x = w + -795. Is x prime?
False
Suppose 0 = 3*b + 3*y - 9, 4*b = 3*y - 0*y - 16. Let q(p) = -10*p**2 - 3*p - 2. Let r be q(b). Is r*(-5)/15 - -1684 composite?
True
Let g be -5 + (3 - -4) + 8. Is -3*(-474)/36*g prime?
False
Suppose 2*f - f + 2*s = -14, -3*f + s = 14. Let o = 10 + f. Suppose k = -5*r + 344, o*k = 4*r + 578 + 726. Is k a composite number?
True
Suppose 35*u - 122 = 33*u. Let m = 60 - u. Is m/(-1)*289 - -2 a composite number?
True
Suppose -5*z + 3*w - 16935 = 0, -4*z - w - 2*w - 13575 = 0. Suppose -12046 + 46218 = -4*l. Let f = z - l. Is f prime?
True
Suppose 1394*l - 428826 = 1383*l - 35081. Is l composite?
True
Let i(x) = -77397*x**2 - 8*x - 7. Let n be i(-1). Let t be 3*(-10)/105 + n/(-14). Suppose 4*d + t = 4*b + 7*d, 4*b + 5*d = 5520. Is b a prime number?
False
Let w(n) = 1395*n**2 - 6*n - 6. Let b be w(-3). Suppose -14*z + b = -9259. Is z a prime number?
True
Let v = -3550 + 3555. Let l be 1/((4/3)/4). Suppose -2*w + l*p + 2902 = -w, v*w - 3*p = 14546. Is w a composite number?
True
Is (210/135)/7 + (-466)/(-9) + -1 a composite number?
True
Let d(i) = 23*i**2 + 175*i + 97. Is d(-52) a composite number?
False
Is 3*(14 - (-25628)/12) prime?
True
Suppose -s + 1435959 = -8*k, 3*k = -s - k + 1436019. Is s composite?
True
Let n(w) = -w**3 + 3*w**2 + 3*w - 5. Let s(x) = -x**3 + 5*x**2 + 5*x - 10. Let l(t) = 5*n(t) - 3*s(t). Let d be l(0). Suppose -7*j + 542 = -d*j. Is j composite?
False
Let x be 856/13 - 4/(-26). Suppose 4*k - 1618 = 2430. Suppose x*y - k = 62*y. Is y a composite number?
True
Let j be (((-15)/(-4))/5)/((-4)/(-176)). Is 83171/j - 4/(-6) a composite number?
False
Suppose 8*i - 510141 = -86149. Is i a composite number?
False
Suppose p + 2*i = -77, -231 = -3*p + 6*p - 4*i. Let v = 82 + p. Suppose -k - k - v*h + 1884 = 0, -4683 = -5*k + h. Is k a prime number?
True
Let k = 6308 - 13736. Suppose -4*u = -u + m + 51, -4*m + 52 = -4*u. Is k/u*2 - 6/(-12) a prime number?
True
Suppose v - u - 3 = 0, -3*u - 10 = -u. Let w be (11/(-33))/(v/138). Let g(r) = 4*r**2 + 33*r - 20. Is g(w) composite?
True
Suppose -7*a + 4*a - 3713 = 4*m, 0 = -3*m + 3. Let c be -27*(-11)/198*2. Is ((a/9)/(1/c))/(-1) prime?
False
Let r = -63273 - -109810. Is r a composite number?
True
Let j(k) = 2*k**2 + 8*k + 7. Let c be 1628/33 - (-1)/(-3). Let i = c - 55. Is j(i) a composite number?
False
Let s(y) = 2090*y**3 + 8*y**2 - 35*y + 6. Is s(4) prime?
False
Let q(m) = m**2 - 10*m - 5. Let t(f) = f. Let g(o) = -q(o) - 6*t(o). Let l be g(4). Is l/10 - 4516/(-8) a prime number?
False
Suppose -b + s = 3*s - 14651, -3*b = 4*s - 43955. Let a = -10388 + b. Is a composite?
True
Let l = 32 - 28. Suppose -l*f = 7*f - 15994. Is f a prime number?
False
Let p(x) = x**3 - 8*x**2 - 15*x - 15. Let h(o) = -o**2 + 6*o + 17. Let s be h(7). Let t be p(s). Is 4596/5 - 7/t prime?
True
Let k(c) = 2*c**3 - 13*c**2 - 42*c + 56. Is k(11) a prime number?
True
Let g = -259875 - -1403068. Is g composite?
False
Let i be ((-16142)/(-35))/(3/885). Suppose 111763 + i = 19*v. Is v a prime number?
True
Suppose j = -j + j. Is (-5328)/(-6) - (-1 + j) prime?
False
Let z = 162409 + -66036. Is z prime?
False
Let x(l) be the first derivative of 61*l**2/2 - 30*l + 11. Let o be (-39)/(-9)*(2 + 1). Is x(o) prime?
False
Let g(a) be the second derivative of 7*a**4/6 + 5*a**3/3 + 3*a**2/2 + 81*a. Let l(v) = v**3 + v**2 - 2*v + 1. Let q be l(2). Is g(q) composite?
True
Let n(x) = x**2 - 5*x - 16. Let a be n(-9). Let k = a - 138. Is k/(-112) + 13862/8 a composite number?
False
Let l(w) = w**3 - 6*w**2 + 5*w - 1. Let c be l(5). Let t = 4 - c. Suppose -5847 = -t*k + 4*m, -7994 = -5*k + m - 2141. Is k a prime number?
True
Is -18 - (-4 - 16) - ((-1 - 1) + -16197) a composite number?
True
Suppose 0*x = 3*c + 2*x - 23726, 4*c = -2*x + 31636. Is c/2 - (-4 + 2 + 4) a prime number?
False
Suppose 4*t = 9 + 3. Suppose 39*r = 42*r - t. Let d(q) = 118*q**2 + q. Is d(r) a composite number?
True
Is 7080360/110 - (-1)/11 composite?
True
Is 2757/4*4*4518/54 prime?
False
Let g(y) be the first derivative of 130*y**2 - 3*y - 25. Let o be g(6). Let t = 656 + o. Is t prime?
True
Let n be 3/(-12) - (7/4 + 0). Let i be ((-6)/n)/9 + (-5)/(-3). Suppose -2*g - i*g = -2836. Is g prime?
True
Suppose -2496865 = 31*d + 2061685. Is (-3)/7 + d/(-35) a composite number?
False
Let p = -402241 - -1101780. Is p a composite number?
False
Suppose -4*s + 20784 = u, -85*s = -87*s + 2*u + 10382. Is s prime?
False
Let k(z) = z**3 + z**2 + 2*z + 34577. Is k(0) composite?
True
Suppose -40*i = -39*i + 5*d - 21, -2*i = 5*d - 17. Let y = 280 - -25. Is y + -1 - (i + 7) a prime number?
False
Let v = 14 - 11. Suppose -2*j + 7*j = 20, -3*s - 3 = -v*j. Suppose 886 = 4*x - 2*x - s*b, -4*b + 914 = 2*x. Is x a composite number?
False
Let i be (-6)/39 - (-870332)/221. Suppose i - 1119 = j. Is j composite?
False
Let q = 177 - 227. Is (-210010)/q*(2 + 3) prime?
True
Suppose -4*y - 232147 = 119181. Let i = 136011 + y. Is i prime?
True
Is ((-14032788)/(-1078))/(-1 + (-18)/(-14)) prime?
False
Let j = -2299 + 5797. Suppose -i + j = -5*o - 2850, 2*i - 3*o - 12689 = 0. Is i a composite number?
False
Let b(f) = 54*f - 107. Let v be b(2). Is -8 + (-25295)/(-15) + v/(-3) composite?
True
Let m(x) = 2*x**3 - 44*x**2 - 38*x - 425. Is m(38) composite?
True
Let k(t) be the second derivative of 13*t**6/180 - t**5/30 - t**4/8 - 9*t**3/2 + 2*t. Let o(q) be the second derivative of k(q). Is o(-5) a composite number?
True
Suppose -8*z + 20*z = 3*z + 594603. Is z prime?
True
Let c = 70 - 64. Let d be 10/(-15)*1143/c. Let z = -106 - d. Is z prime?
False
Suppose -5*b - 2*s = -18, -b + 2*b + 2 = s. Suppose o + 3*o - m = 1576, -4*o - b*m = -1588. Is o a prime number?
False
Suppose -2 = -c + 5*p - 7, 2*p = c - 4. Suppose -c*u + 517 = u. Is u prime?
True
Is 42452354/77 + 15/(-55) a prime number?
False
Is ((-1842726)/(-36))/((-7)/(-37 - 5)) a composite number?
False
Let y = -13 + 18. Suppose 3*d = d + 10, -y*d - 5 = s. Is 6/(-15) + (-16122)/s a composite number?
True
Is (0/(-3) - 3554/6)*-93 prime?
False
Let b(d) = -d**3 + 34*d**2 - 3*d + 33. Let q be ((-16)/(-5))/(35/350). Is b(q) prime?
False
Let z(o) = o**2 - 7*o - 19. Let h be z(9). Let w be h/((-4)/(-12)*(-3)/(-5)). Let s(u) = -2*u**3 + 5*u**2 + 9*u + 11. Is s(w) a prime number?
False
Suppose -4*w + 4 = l, 2*w = 30*l - 26*l + 2. Suppose 0 = 4*y + 3*n + 522342, -3*n - 522130 - 130799 = 5*y. Is y/(-29) - ((1 - w) + -4) composite?
False
Let x be -2 + 4/2 + 0. Let t = 3594 - 661. Suppose t = -x*m + 7*m. Is m prime?
True
Suppose 58*r - 1288309 = 652197. Is r a composite number?
False
Let v(h) be the third derivative of -h**6/120 - 7*h**5/60 + 2*h**4/3 - 2*h**3 + 4*h**2. Let s be v(-9). Suppose -s*q = -q - 8795. Is q a prime number?
True
Let d be 11/((-275)/(-10)) - (-136)/10. Suppose d*i - 308 = 3*i. Is 48177/7 + (-3 - (-100)/i) composite?
False
Let l = 151 - 144. Suppose 0 = l*h - 66739 + 11390. Is h composite?
False
Is (-1)/(2 + 72/(-33) + (-73943)/(-406747)) composite?
True
Let q be (-22)/(-121) - (-581)/11. Suppose -4915 = -58*c + q*c. Is c prime?
True
Let p(z) = -z**2 - 32*z - 53. Let m be 5 - 1/(-2)*(-8 + -54). Is p(m) prime?
True
Let s(w) = 246*w + 6 - 22 - 6 + 1277*w. Is s(3) a prime number?
True
Let t(p) = -3968*p**3 - 46*p**2 - 15*p - 159. Is t(-8) prime?
False
Let d = -89