he first derivative of -85*g**2/2 - 4*g + 1. Is c(-3) prime?
True
Suppose 5*o + 2*f - f - 20 = 0, 3*o - 4*f = 35. Suppose 2*i - 85 = -5*t + 1192, -5*i = o*t - 1265. Is t a composite number?
False
Suppose 4*l + 5*m + 1523 = 0, -3*l - 2*l = 2*m + 1908. Let j = 19 + -10. Is l/(-8) + j/(-12) a composite number?
False
Suppose 0 = q - 116 + 10. Is q composite?
True
Suppose -3*r + 146 + 13 = 0. Let k = 20 + r. Suppose -4*b - k = -277. Is b composite?
True
Let s(f) = -4*f**2 - f + 2*f - 5*f + 3*f + 1. Let d be s(1). Let z = d + 18. Is z composite?
True
Let m be (2/(-4))/((-4)/(-328)). Let o = 60 + m. Is o a prime number?
True
Let a be (4*(2 + -1))/2. Let h be (-3)/(a + 14/(-4)). Suppose -u - 5*j - 72 = -2*u, 0 = 3*u + h*j - 233. Is u a prime number?
False
Let m(p) be the first derivative of 4*p**3/3 - 5*p**2/2 - p - 1. Is m(-4) composite?
False
Let s(h) = 192*h**2 + h. Suppose 0 = -2*r + 4*r - 6. Suppose -r*z + 18 = -3*q, -q - 5*z = -26 + 2. Is s(q) composite?
False
Suppose 1 - 2 = -3*l - 2*m, 28 = 4*l - 4*m. Suppose -l + 13 = -2*x, -4*x = 2*j + 90. Let p = 56 + j. Is p composite?
True
Let j = 28 + 1087. Is j a prime number?
False
Let f = 21 + 242. Is f a composite number?
False
Suppose v - 5*i = -3*v + 1032, -v + 5*i + 243 = 0. Is v composite?
False
Let z(a) = -a**3 + 8*a**2 - 4*a - 2. Is z(7) a prime number?
True
Let u = 8 - 5. Suppose -n = 2, 327 = u*m + 5*n - 218. Is m composite?
True
Let w = -4 - -8. Let j = 11 - -1. Suppose 0 = -0*y + w*y - j. Is y a prime number?
True
Suppose -5*l + 2*f - 28 = 0, -2*l - 13 = 3*f - 2*f. Let i(q) = -4*q**3 - 5*q**2 + 8*q + 5. Is i(l) composite?
False
Let x(d) = 4*d**2 + 20*d - 65. Is x(-17) composite?
False
Suppose q = -2*q - 3. Let a(k) = -96*k**3 - 2*k**2 + 1. Is a(q) a composite number?
True
Let x = -746 + 1077. Is x prime?
True
Suppose -3*r = 3*p + 3, -4*p + r + 3*r - 44 = 0. Let a be p*(0 - -1) + 2. Let m(q) = -q**3 + 3*q - 3. Is m(a) composite?
True
Let l(q) = -13*q**2 + 3*q - 1. Let g = 8 + -11. Let v be l(g). Let w = v - -204. Is w a composite number?
True
Let h = -4 - -6. Suppose 7*a = h*a + 35. Suppose 3 + a = i. Is i composite?
True
Let r(l) = -l + 18. Is r(-13) a prime number?
True
Let u = 260 - 139. Is u prime?
False
Suppose 0*s - 4*y = 5*s - 16, 12 = -4*s + 3*y. Is (-3 - s) + (-2 - -216) a prime number?
True
Suppose -4*y = y - 680. Suppose 0 = -4*h + m + y, -2*m - 7 = 1. Is h composite?
True
Suppose -3*w + 201 = d + w, -6 = 2*w. Is d a prime number?
False
Is 5 + 1044*3/3 a prime number?
True
Suppose k = 2*k + 4*c - 4, 4*k - 3*c - 35 = 0. Suppose -i - 2*i + 5*t = -16, 0 = i + t. Suppose -i*q + 54 = k. Is q prime?
True
Let a = -735 - -1506. Is a a composite number?
True
Let h(u) be the third derivative of u**6/120 - 7*u**5/60 + 5*u**4/24 + 4*u**3/3 + u**2. Let l be h(6). Is (-5 + 26)/(l + -1) a prime number?
False
Suppose -11*z + 8*z = -381. Is z composite?
False
Suppose -7*d = -2*d - r - 14, 0 = -r + 1. Suppose z = p - 133, -d*z = -6*p + 2*p + 530. Is p prime?
True
Let m(t) = -9*t**3 + t**2 + t. Let k be ((-2)/(-3))/(2/(-3)). Let w be m(k). Suppose n - w = 14. Is n a composite number?
False
Suppose 1618 = 7*m + 281. Is m composite?
False
Let w(a) = 40*a - 5. Suppose 0 = 4*t - 4 - 12. Is w(t) composite?
True
Suppose -2*f - 3*f - 10 = 0. Let v(r) be the first derivative of 4*r**3/3 + r**2 + r + 1. Is v(f) a composite number?
False
Suppose 5*b - 2*b - 558 = 0. Suppose 2*t - b - 112 = 0. Is t composite?
False
Suppose 5 = -2*h + v, 3*h - 5*v = h - 17. Let l be -1 + h - -3 - -2. Let r = 3 + l. Is r a prime number?
False
Suppose 3*u + 4*q + 5 = -3, -4 = 5*u + 2*q. Is 190/10 - (0 - u) composite?
False
Let c(p) = p**3 - 11*p**2 - 12*p - 8. Let u be c(11). Let s = 217 + u. Is s a composite number?
True
Let z = 426 - 275. Let y = -20 + z. Is y prime?
True
Let p be ((-24)/14)/((-3)/21). Let h be ((-1)/(-2))/(1/p). Suppose -b + h*b - 155 = 0. Is b prime?
True
Let u be (0/2)/3 + 9. Let a(t) = t**3 - 4*t**2 + 10*t + 8. Is a(u) prime?
True
Let z = -1 + 3. Let k be z/(-4) + (-21)/(-6). Is (-1 - 22*k)/(-1) composite?
False
Let f = 1 - 33. Suppose -2 = 2*v - 2*i - 96, -3*v + 169 = 4*i. Let w = v + f. Is w prime?
True
Let h(s) = 2*s**2 + 50*s - 58. Is h(-31) a composite number?
True
Suppose 0 = 2*g + 8, 2*g + 0*g = 4*p. Let o = p - -8. Suppose 0 = -3*a + o + 33. Is a composite?
False
Let f = 19 + -23. Is 1*f/(16/(-196)) composite?
True
Let c = -337 + 1172. Is c a composite number?
True
Let d be (0/(-2))/(3 - 2). Suppose -g = 0, d = 2*t - 4*g + 508 - 130. Let z = -124 - t. Is z composite?
True
Let s = -5 - -1. Let n(p) = -9*p - 1. Is n(s) prime?
False
Is 3/9 + (-2004)/(-9) composite?
False
Let g(t) = -t**2 + 3*t + 4. Let o be g(4). Suppose 4*z - z - 282 = o. Is z prime?
False
Let v(m) = -3 + 0 - 4*m + 0 - 6. Let c be v(-6). Suppose -k = c - 49. Is k a composite number?
True
Let x be ((-1)/(-2))/((-2)/8). Let w be (-20)/(-1 - 1) + x. Is w/(-6)*18/(-4) prime?
False
Let s(o) = -o**2 + o - 1. Let p be s(3). Is 2/p + 555/7 a composite number?
False
Let j be ((-1)/(-2))/((-1)/(-8)). Suppose j = -i + 38. Is i prime?
False
Let c(k) = 2*k. Let v be c(3). Suppose -3*u = -3*x - v, -5*u - 3*x = x - 10. Suppose 4*w + 3*b = 815, -3*w - u*b + 153 = -458. Is w prime?
False
Let w(s) = 2*s**2 - 8*s - 4. Let f be w(-5). Suppose -3*h + 0*h + 12 = 4*y, 0 = y - 3*h - 18. Is (f/4)/(y/12) a prime number?
True
Let a = -9 + 11. Suppose 2*p + 4*q - 15 = q, 3 = a*p - q. Suppose 0 = 3*n + 3*w - 45, 0 = 3*n + n - p*w - 88. Is n prime?
True
Let d(k) = -57*k**3 - k. Is d(-1) prime?
False
Let z(i) be the second derivative of -i**3/6 + 3*i**2/2 - 3*i. Let q be z(4). Is (2 + q)*(3 - -52) a prime number?
False
Is (-36460)/(-70) - 1/(-7) a composite number?
False
Let q = -6 + 11. Suppose -q*l = -3*l - 42. Is l composite?
True
Suppose 5*g = -5*g + 19770. Is g prime?
False
Is (-12)/(-3) - (-290 - -7) a prime number?
False
Let b = 2704 - 1587. Is b prime?
True
Suppose 3*w + 10 = w. Let u(z) = -7*z + 4. Is u(w) prime?
False
Let v(p) = 2*p**2 + 5*p - 4. Is v(-5) a prime number?
False
Suppose 0 = -5*s + 163 - 58. Suppose -y = -g - 1, -3*y + s = 3*g + 2*y. Is g*(-15)/(-18)*15 prime?
False
Let i be 3/((-1 + 2)/1). Suppose -4*n + 0*n + 4*j = -4, 5*j = 4*n. Suppose -2*y = n*l - 253, -2*l - i*y + 48 = -l. Is l a prime number?
False
Let k = 54 + 30. Suppose 8 = 4*j - k. Is j prime?
True
Let f = 282 + -67. Is f composite?
True
Suppose -2*p + 967 = -2155. Is p a prime number?
False
Let r(z) = 63*z**3 - 3*z + 3. Is r(2) a composite number?
True
Let g(a) = -a**3 + 1. Let d(i) = -2*i**3 + 3*i**2 - 4*i - 8. Let x(p) = -d(p) - 5*g(p). Is x(4) prime?
True
Suppose 3*i + 119 = 965. Suppose -5*p + 222 = 4*z, 3*z = -2*z - 4*p + i. Is z a prime number?
False
Suppose -6*x + 2*x = -136. Let i(d) = d**3 - 11*d**2 + 11*d - 8. Let s be i(10). Suppose s*z + x = 648. Is z a prime number?
True
Let n(t) = 148*t. Let k be n(1). Suppose -4*s = -6*s + k. Is s a composite number?
True
Let o be (1 - 20) + 18/9. Let v = o + 36. Is v a composite number?
False
Let k = -13 + -3. Let m = k + 41. Is m a composite number?
True
Let o(p) = p + 14. Is o(5) a composite number?
False
Suppose 50*a - 8292 = 46*a. Is a a prime number?
False
Suppose -6 + 390 = 2*s. Let j = 316 - s. Let n = j - 69. Is n a prime number?
False
Suppose -23*t + 25*t = 958. Is t a prime number?
True
Suppose 465 = 8*q - 7*q. Let t = q + -58. Is t a composite number?
True
Let z(o) = 5*o - 2. Let x be z(3). Suppose -5*m - 3*g - 19 = g, 0 = -3*m - 4*g - x. Is (33/((-3)/m))/1 composite?
True
Suppose -4*o + l = -1407, -3*o + 0*l + 1034 = -5*l. Is o a prime number?
True
Let v(w) = -87*w - 5. Is v(-20) a composite number?
True
Suppose -2*z + z - 5*l = -109, 5*z = 4*l + 400. Let x = z + 125. Is x composite?
True
Suppose 0 = 2*x + 2*x + 80. Let s = 377 - x. Is s a composite number?
False
Let j(i) = -i**2 + 5*i + 4. Let a be j(6). Let m be 1 + a + -1 + 22. Suppose -2*o + 150 = -m. Is o a prime number?
False
Suppose -3*o + 1532 = -n, 2*o + 0*n = 2*n + 1028. Is o a composite number?
False
Let z be (-2)/6 + (-56)/(-6). Suppose -l - 2 = -r - 0*r, -4*r + 3*l = -12. Let p = z - r. Is p a prime number?
True
Suppose k - 4*n - 547 - 475 = 0, -3031 = -3*k + 5*n. Suppose g + k = 3*g. Is g a composite number?
True
Let r(q) = 9*q - 3*q**2 + 0*q**3 + 2 