
True
Let s be (-21)/14 + ((-3)/(-2))/(-3). Is (2403/(-18) + 1)*4/s composite?
True
Let v(s) = 2*s**2 + s + 3. Let u be v(2). Suppose -u*q + 118979 = -18808. Is q prime?
False
Let v(g) = -5*g + 1. Let d be v(-1). Is (32 - (-3 + 1))*33/d prime?
False
Let r(l) be the third derivative of -l**4/24 - 17*l**3/6 - 19*l**2. Let i be r(-19). Suppose -4*j + 5*j - 1171 = 5*d, 3*j = i*d + 3461. Is j composite?
False
Let l = -9089 - -21906. Is l a composite number?
True
Let c(n) = 18*n**3 - 6*n**2 - 19*n + 17. Let u be c(8). Suppose 10 = 5*w, k + 6*w - u = 3*w. Is k prime?
False
Let l = 46 + -42. Is l/5 - 121068/(-90) a prime number?
False
Let c = 196284 + -111203. Is c composite?
False
Suppose 4*u + 53 = 5. Is (-110391)/u + (-18)/72 a composite number?
False
Let t be (-14)/(-3)*(27/18 + 0). Suppose t*b = 5454 + 10163. Is b a composite number?
True
Let t(c) = -c**2 - 10*c + 9. Let j be t(-9). Suppose -3*z = -4*r + j, 1 = -3*r + 2*z + 14. Let f(g) = 265*g**2 + 2*g + 2. Is f(r) prime?
True
Suppose -7*a + 5*a = -4*z - 72850, -5*a = -4*z - 182095. Suppose 147*r - a = 142*r. Is r a prime number?
True
Let n(x) = 10*x**2 + 576*x + 175. Is n(59) prime?
False
Let v(t) = 5*t - 20. Let g be v(9). Suppose -z + g = -3*p - 71, -408 = -5*z - 3*p. Let l = 118 - z. Is l prime?
False
Let b be 8/(-36) + 191384/36. Let s be ((-4)/(-3))/(15956/b - 3). Suppose 5*u - 4 = s. Is u prime?
False
Let k(u) = u**3 + 3*u**2 + u + 33. Let r be k(-7). Suppose 4*f - 245 = -s, 158 - 909 = -3*s + 4*f. Let d = r + s. Is d prime?
True
Let i = 228706 + -140757. Is i a prime number?
False
Let d(j) = 516*j**3 - 98*j**2 - 10*j - 11. Is d(6) a composite number?
False
Let x be (-5 - (-452)/92) + (-511904)/(-184). Let l = 19179 + x. Is l composite?
False
Suppose -4*g - 93688 = -4*z, 0 = -4*z + 7*z - g - 70256. Is z a prime number?
True
Is ((-631520)/(-12) - 1) + 20/15 composite?
False
Let o(p) be the second derivative of 0 - 4*p + 9/2*p**2 + p**3. Is o(14) a prime number?
False
Suppose 5*c + 4*d - 401339 = 0, -4*d = 29*c - 27*c - 160538. Is c a prime number?
False
Let z(j) = -j**2 - 4*j + 32. Let a(f) = -5*f + 32. Let k(s) = 6*a(s) - 5*z(s). Let v be k(5). Suppose 574 = t + v. Is t a composite number?
False
Suppose -2*r + 8 + 3 = 3*l, r = -4*l + 8. Suppose -3*q = 2*a - 31311, r*a - q - 62614 = q. Is (6/(-18)*-1)/(2/a) prime?
True
Let s(a) = 1731*a**2 + 38*a + 375. Is s(-16) a composite number?
False
Is (-35544 - 2)*(17 - 19)*(-8)/(-32) prime?
False
Let i = 690262 + 1038823. Is i composite?
True
Let u(j) = 193*j**2 - 83*j - 5. Let r be u(14). Suppose 0 = -3*h + 65222 + r. Is h prime?
True
Suppose 4 - 10 = -2*q. Suppose -q*s = 4*h - 49200 + 5656, 5*h - 58058 = -4*s. Suppose 15*c - s = 6743. Is c prime?
False
Suppose -8*f = -163 + 43. Suppose f*z - 6679 = 3416. Is z composite?
False
Suppose -96*q + 84301651 + 37804582 = 22719641. Is q composite?
False
Is 13 + (1 - (-23986)/2) prime?
True
Let m be -3*((-4)/5)/(114/95). Is 0 - (-13738 - 2/m) a composite number?
True
Let s be (-4 + -1273)*2/(-2). Let k = 2154 - s. Is k a composite number?
False
Let r(g) = -141*g + 29. Let s be r(-7). Suppose -4*n + 5*d = -2447, -3*d = -4*n + 3465 - s. Is n a prime number?
True
Let v(a) = 2*a**3 + 3*a**2 - 17*a - 37. Let x be v(-2). Is (-1)/x - (-343480)/217 composite?
False
Let t(z) = -z**3 + 21*z**2 - 17*z - 14. Let q be t(16). Let m(d) = d**2 - 18*d - 19. Let v be m(19). Is -1 + 0/(-7) - (v - q) a composite number?
True
Suppose 38*q - 33*q + 5205 = 0. Let r = q + 621. Let o = 847 + r. Is o a prime number?
False
Suppose -16*j = -9*j - 21. Suppose 112 + 34 = j*y - g, 5*g - 250 = -5*y. Is y composite?
True
Suppose -154552 = -c + 38*k - 37*k, -5*c + 772763 = -4*k. Is c a prime number?
False
Let u = -143803 - -209174. Is u a composite number?
False
Is ((-7 - -73)*(4 + 1) + 7)*1033 prime?
False
Suppose -22984176 = 56*c + 42*c - 89024318. Is c composite?
False
Suppose -58*m - 241*m = 64*m - 40303527. Is m composite?
False
Let a(l) = l**3 + 26*l**2 - 29*l - 50. Let y be a(-27). Let c be (-30)/y*((-89426)/10 + 1). Is (c/27 - (-16)/72) + -1 prime?
False
Let t(p) = -p - 11. Let b be t(-7). Is (-2)/(-5) - ((-24972)/(-5))/b prime?
True
Suppose 0 = 27*v - 3*v - 192. Suppose 0 = v*o - 19*o + 2761. Is o a composite number?
False
Let y = -580 + 574. Is ((-126)/(-24))/(y/(-5384)) prime?
False
Let q(k) = 620*k**2 + 3*k - 1. Let h be q(-3). Let v = h - 7966. Is (-15)/3*v/4 prime?
False
Suppose 0 = -3*g + 3*h + 402444, -19*h = g - 23*h - 134133. Is g prime?
True
Suppose 5926 = 2*h + 3*i + 679, -4*i - 13129 = -5*h. Let v be (-2)/(4/(-10)) + -1. Suppose 397 = r - 4*t - 486, 0 = 3*r - v*t - h. Is r composite?
True
Suppose -12740 = -9*n + 3082. Suppose -17*c + 11*c = -n. Is c prime?
True
Let c be 7*2*1/(-3)*-6. Let d be 7/c + (-234)/8 + 2. Is (8 - (-225)/d)*(-679 + 1) a prime number?
False
Let i(z) be the first derivative of -46*z**2 - 41*z - 1. Let w(n) = 14*n**2 + 62*n + 4. Let a be w(-4). Is i(a) a composite number?
True
Let l = 66 + 50. Suppose -l*d - 258699 = -137*d. Is d prime?
False
Suppose 12*b - 146 = -50. Let c = b - 2. Let m(d) = 4*d + 10. Is m(c) a composite number?
True
Suppose -71785 = -5*z - 3*x + 104383, -5*x = -z + 35228. Is z prime?
False
Let q = 115 + -112. Suppose -4*h - 4*g = -52, 0*h + q*g = -h + 23. Is 23976/h - 4/(-2) prime?
True
Let l = -19997 - -57959. Suppose -3*f - 5*c = -f - 25301, -3*c = -3*f + l. Is f a composite number?
False
Let n be 51/34 - 6/(-4). Suppose 4*p - 12*c + 13*c = 74, 2*c - 58 = -n*p. Suppose -p*u + 7664 = -10*u. Is u prime?
False
Let a = 116 + -111. Let q(y) = y**3 - 9*y + 9. Is q(a) composite?
False
Let a = -370304 - -716073. Is a a composite number?
False
Suppose 5*y - 94 - 197 = -4*j, 4*y - 238 = 2*j. Suppose 0 = -13*d + y + 6. Suppose 3*u - d*c = 4*u - 2669, 2*u + 3*c - 5324 = 0. Is u composite?
False
Suppose 0 = 20*v - 19*v + 9. Let d be 3016 + v - (3 + 0). Suppose 0 = 5*h - 3*u - d, 2*h = -h - 5*u + 1782. Is h prime?
True
Let j be (0 + 160/(-6))*(-3219)/74. Let g = -443 + j. Is g prime?
False
Let g(w) = -158*w**2 + 6*w - 36. Let i be g(5). Let j = i + 6383. Is j composite?
True
Suppose -3*k = -4*h + 6, 2*h + 0*k - 4 = 2*k. Suppose 4*o = 5*z + 9357, -4*o + 9354 = -h*o - 2*z. Suppose 2*c = -0*c + o. Is c a composite number?
True
Suppose -653*q + 651*q = -16294. Is q a composite number?
False
Suppose -2*o - 1296 = -4*n + 1772, 5*n + 2*o = 3853. Suppose 1720 = m - 3*t - n, -m - 2*t + 2499 = 0. Is m composite?
True
Suppose -6*c = -16*c + 40. Let j(k) = 20*k**3 + 10*k**2 - 18*k - 5. Is j(c) a composite number?
True
Suppose 5*q - 1752 = 1968. Suppose 3*x + 2*t = q, 2*t - 151 = 5*x - 1375. Let p = x + -119. Is p prime?
True
Let p = -1902206 + 2920771. Is p a prime number?
False
Is (-11 - -5) + (-6710150)/(-90) + 2/(-9) a prime number?
True
Suppose -j + 2 = q + q, 5*q = 2*j + 23. Suppose -2*p + q*p = 13. Suppose -6*n + p*n = 15155. Is n prime?
False
Let b(v) = 5896*v**2 - 20*v - 41. Is b(3) prime?
True
Suppose 0 = 4*c - b + 419, -2*c + 0*c + 5*b = 223. Let n = c - -767. Suppose n = z - 736. Is z composite?
False
Suppose -w + 2*r + 51 = 0, 0 = -127*w + 124*w + 2*r + 161. Is w prime?
False
Suppose -10*h = -12*h - 2208. Let b = 3157 + h. Is b composite?
False
Suppose -g + 5*k - 1657 = 2*g, -3*k - 12 = 0. Let f(x) = 37*x**3 - 3*x**2 + 2*x. Let w be f(3). Let z = g + w. Is z composite?
False
Let b(u) be the third derivative of 43*u**5/30 - 37*u**4/12 + 7*u**3/2 + 117*u**2. Is b(-16) prime?
False
Let i(q) = 20264*q**2 + 94*q - 87. Is i(5) composite?
False
Suppose 150*k = -88*k + 111794225 + 302109. Is k a composite number?
False
Let h = -445934 - -778869. Is h prime?
False
Suppose -43*h + 42*h = 2*x + 360, -3*h - 4*x = 1072. Let c(v) = -4*v - 5. Let j be c(4). Let s = j - h. Is s a prime number?
True
Let p = -93136 - -183047. Is p a prime number?
False
Suppose 4881241 = 7*s - 743868. Is s a composite number?
False
Suppose -3*g + 40 = 5*o, 0 = o - 0*g - g. Suppose 6*m + o = m. Is m/(-3) + 1912/6 composite?
True
Let q(f) = 6*f**3 - 2*f**2 + 3*f. Let y be q(2). Let g = y + -26. Suppose 0 = -5*v + g, -981 = -b + v - 0*v. Is b composite?
True
Let d(i) = -i**3 + 40*i**2 - 76*i + 6. Let j be d(38). Let t(u) = 425*u**2 - 5*u + 89. Is t(j) a composite number?
False
Let j(h) = 11*h + 154. Let r be j(-14). Suppose