 7. Suppose 5*m = g*m + 74. Is m prime?
True
Let h be (-1)/2 - 10/(-4). Is -3 + -1 + 334/h a composite number?
False
Let z = -1754 - -3513. Is z a composite number?
False
Suppose 2*j - j = -5*a - 53, 4*j = -3*a - 144. Let i = -10 - j. Is i a composite number?
False
Let o(m) = 2*m**3 + m**2 - 1. Let r(p) be the third derivative of p**5/60 - 3*p**4/8 + 5*p**3/3 + 2*p**2. Let s be r(8). Is o(s) prime?
True
Let o(c) = 543*c - 2. Is o(1) a composite number?
False
Let n(d) = 5*d - 5. Let c(b) = -4*b + 4. Let j(q) = 3*c(q) + 2*n(q). Let g be j(-3). Is 21/4*g/3 a prime number?
False
Suppose -15*a = -18*a + 2361. Is a prime?
True
Suppose -13 - 11 = 4*a. Let c(q) = -13*q + 1. Is c(a) a composite number?
False
Suppose 0 = 5*b - 0*b - 55. Is b composite?
False
Let c(x) = -81*x + 2. Let h be c(-1). Suppose 0 = 5*v - 4*v - h. Is v composite?
False
Suppose t - 150 = -4*t. Let s = 61 - t. Is s composite?
False
Let j(s) = -2*s**3 - 15*s**2 - 14*s + 3. Let w be j(-12). Suppose w = k + 2*k. Suppose 3*o + 0*o - k = 0. Is o prime?
True
Let f(t) = t**3 + 10*t**2 - 10*t + 13. Let j be f(-11). Let p(g) = 7*g**2 + 5*g - 5. Is p(j) a prime number?
False
Let c(r) = 1 + 7*r + 7 + r**2 + r. Let w be c(-7). Suppose -h - w + 4 = 0. Is h composite?
False
Let c(m) = -m + 3. Let l be c(6). Let p be 3 + -1*(l - -2). Suppose -p*i + d + 113 = -14, 0 = i + 2*d - 43. Is i a prime number?
False
Suppose -9 = -3*c + t - 4, t = -4*c - 5. Suppose -3*s + r + 486 = 0, c*s - s = 2*r - 155. Is s composite?
True
Let t(f) = f**3 - 3*f**2 - 3*f - 4. Let b be t(4). Let r(g) = g**2 + g + 481. Is r(b) a composite number?
True
Suppose -3*k + 2 = -4. Suppose 0 = -k*l + l + 11. Is l prime?
True
Let q be 4/(-10) + 16/(-10). Let m = q + 0. Is 16 - -5 - m/2 a prime number?
False
Suppose -5*x = -x - 748. Is x a composite number?
True
Suppose -3*w - 12 = o - w, 26 = -3*o - 4*w. Is (-71)/o - 4/8 composite?
True
Suppose 5*z = z + 296. Suppose 2*h - z = -4*v, 2*v - 6*v - 37 = -h. Is h a composite number?
False
Is (-44)/(-330) + (-4166)/(-30) prime?
True
Suppose 22 = -5*m + 197. Let q = -25 + m. Suppose 16 = 4*s - 6*n + 2*n, q = s + n. Is s a composite number?
False
Let b be 1/5 - 868/(-10). Suppose t - b = r + r, -2*t = -2*r - 164. Is t composite?
True
Let u = -10 + 30. Let r = u + 217. Is r composite?
True
Let m(x) = -x**2 - 6*x + 7. Let o be m(-7). Suppose 2*h - 586 = -2*s, o = 3*s - 8*h + 5*h - 891. Is s prime?
False
Let x be 0 + 1 - 2/(-2). Suppose x*o = o + 19. Is o composite?
False
Is 371*(0/(-3) - -1) composite?
True
Let m(r) = -21*r - 2. Suppose -3*q - 2*q = 35. Is m(q) composite?
True
Is 2445 + -3 + 5 + 0 composite?
False
Suppose 5*a = 5*j + 1615, -5*a - 3*j + 7*j + 1619 = 0. Let u = a - 78. Is u a prime number?
False
Suppose 498 = 4*a - 0*a - 5*f, 4*a - 514 = -3*f. Is a a composite number?
False
Suppose -4*f + 2250 = -2*a, 1929 + 921 = 5*f + 5*a. Is f composite?
True
Let w(y) = -7*y + 4. Let p be w(2). Let u = 107 + p. Is u prime?
True
Suppose 5*k + 4 = -2*u - 3, -3*k - u - 5 = 0. Is 14/k*(-282)/4 composite?
True
Suppose -q = -180 + 49. Is q prime?
True
Let f(q) = -q**3 - q**2 - 2*q - 3. Let k = 9 + 0. Suppose k = -4*g - 7. Is f(g) prime?
True
Suppose -15 = 2*p - 5*p. Suppose -5*v + 0*v = 0. Suppose -4*d + p*h = d - 460, 2*d + 3*h - 169 = v. Is d a composite number?
False
Let c = -70 - -407. Is c a composite number?
False
Suppose -m + 7 = u, -5*u + m + 4 = -1. Let d = u + 1. Is -1*d/6*-30 a prime number?
False
Suppose m = -3*b + 315, -152 - 1385 = -5*m + 4*b. Is m composite?
True
Let q(g) be the third derivative of -g**4/24 + 7*g**2. Let d be (-2)/6 + 8/(-3). Is q(d) a prime number?
True
Suppose 0 = 3*o - 0*o + 234. Let y = 11 - 15. Is ((-2)/y)/((-3)/o) a composite number?
False
Let q(b) = -b**2 - 8*b + 1. Let v be q(-8). Is v/(-1 - (-96)/94) a prime number?
True
Let d be (6/4)/((-7)/42). Let b(u) = 5*u**2 - 4*u - 6. Let n(h) = -h**2 - h + 1. Let o(i) = b(i) + 6*n(i). Is o(d) a composite number?
True
Suppose -4*a + 0 = -12, 1637 = t - 2*a. Is t a prime number?
False
Let y(u) = u**2 + u + 7. Is y(-10) prime?
True
Let s(k) = 6*k**2 + 2*k + 3. Is s(-5) prime?
False
Let k(f) = 627*f**2 - 4. Is k(3) a prime number?
True
Suppose -a + 3*a - 3*q = 12, 0 = 3*q + 6. Let m = a + 1. Suppose m*w - 111 + 11 = 0. Is w composite?
True
Suppose -3*f = 2*f. Suppose 0 = -f*j - 4*j + 56. Suppose j = 4*m - 14. Is m a composite number?
False
Suppose -4*j = 5*h - 2*j - 2665, 2*j = 0. Is h prime?
False
Suppose c - 28 = 3*j, c - 5*j - 30 = -0*j. Suppose -5*r - 3*u = -40, -5*r - u = -0*r - 30. Suppose 0 = 5*o + c, t - r*o - 12 = 224. Is t composite?
False
Is 202 - (1 - 0/1) composite?
True
Let j(p) = -2 + 0 - 40*p + 1. Let u be j(-2). Is u/(3/(4 + -1)) a prime number?
True
Let u(x) = 2*x**3 + 6*x**2 + 2*x. Let p be u(-4). Is (-2172)/(-10) - (-8)/p a prime number?
False
Let d = 3489 - 2024. Is d prime?
False
Let i = -412 + 750. Let p = i - 129. Is p composite?
True
Let m(r) be the first derivative of -r**5/30 - 5*r**4/24 + r**3 + 4. Let a(c) be the third derivative of m(c). Is a(-6) a prime number?
True
Let z be 5 + (1 - (-4)/(-2)). Suppose y + 2 = z. Suppose y*f = 5*f - 141. Is f a composite number?
False
Let t(v) = 2*v**2 - 3*v - 4. Let b be t(4). Let u be (-12)/8*b/(-6). Suppose 10 = u*a - 2*a, -64 = -4*o + 4*a. Is o prime?
False
Let v(f) = -f**2 + 4*f + 1. Let i be v(3). Suppose i*r - 307 = 201. Is r prime?
True
Let y(f) = f**2 + 269. Is y(0) a composite number?
False
Suppose -g - 383 = m - 3*g, g = 2*m + 751. Let y = -246 - m. Is y a prime number?
True
Suppose 6*l - 2*l - 16 = 0. Let b = -2 + l. Is (-92)/(-6)*3/b composite?
False
Suppose 2 = -5*v - 3. Is (10 - -169) + (-4)/v a composite number?
True
Suppose 2*m - 5*k = 228, -3*m + 376 = -0*m + k. Suppose 3*a = -a + m. Is a a prime number?
True
Let h(g) = 13*g**2 - g. Let s be h(2). Suppose 0 = 3*f + s - 209. Is f composite?
False
Let f be (-1)/2 + (-57)/6. Let h be ((-8)/f)/((-10)/(-25)). Suppose -3*g + 2*g - h*d = -37, 0 = g - 2*d - 37. Is g a composite number?
False
Let n = 1 - 4. Let m = n + 5. Is 352/10 + m/(-10) composite?
True
Suppose -4 = -2*i + 12. Suppose i*m - 1735 = 3*m. Is m prime?
True
Let d(l) be the first derivative of l**5/120 + 13*l**4/24 + l**3/3 + 2. Let x(c) be the third derivative of d(c). Is x(0) prime?
True
Is 1/(-3*(-5)/8295) prime?
False
Suppose -3*b = -11 - 7. Suppose -j + b + 16 = 0. Is j a composite number?
True
Let w = 9 - 15. Is w/(-9) + 1586/6 prime?
False
Suppose u - 50 = -r, 0*u = 2*r + u - 95. Let j = r + 20. Is j a prime number?
False
Suppose 3*i = 5 + 4. Suppose 1 = 2*l + 2*l - 3*m, m = -3*l + 17. Suppose 0 = l*y - 2*g - 480, -2*g = -i*y - 0*g + 361. Is y a prime number?
False
Is (-1689)/(-2)*26/39 a prime number?
True
Suppose -489 = -66*f + 63*f. Is f a composite number?
False
Let k(n) = 16*n**2 - n - 5. Let l be k(-4). Let p = l + -92. Is p composite?
False
Let l = -83 + 142. Suppose -l = -3*s + 58. Is s prime?
False
Suppose 0*x + x = 275. Let u be (-2 + 4/(-2))*-1. Suppose 9*m = u*m + x. Is m prime?
False
Let m(v) = -3 + v + 7*v**2 + 0*v**2 + 17*v**2. Is m(-2) a prime number?
False
Let v = 5 + -8. Let f = 5 + v. Suppose -z + 4*m = -159, -f*z + 4*m - 3*m + 325 = 0. Is z composite?
False
Let h(w) = 158*w - 4. Let v(b) = 79*b - 2. Let i(j) = 4*h(j) - 7*v(j). Is i(9) composite?
False
Suppose 6*z - 4 = 2*z. Let g be z + (0 - 1) + 0. Is (-1)/(2/(-110) - g) composite?
True
Is (-2)/4*(-1046 + 4) a prime number?
True
Suppose 5 + 2 = -i + 5*j, 0 = -j + 1. Is (-6)/(-4) - 527/i a prime number?
False
Let l = 3379 - 2412. Is l composite?
False
Let r(q) = q + 31. Is r(-16) a composite number?
True
Suppose 0*u + u = -6. Let j = 5 + u. Is ((-2)/1 - j)*-59 prime?
True
Let j(x) = -x**3 + 3*x**2 + 3*x + 1. Let n be (-4)/(-18) - 4/18. Let c be n - -1 - 0 - -2. Is j(c) a composite number?
True
Let c(s) be the second derivative of -4*s**3/3 - 9*s**2/2 + 6*s. Is c(-14) a composite number?
False
Suppose j - 5 = 0, 2*x = 7*x - 4*j - 5415. Is x prime?
True
Suppose 2*o + j + 1334 = 0, 4*j + 1322 = -o - o. Let m = 1088 + o. Is m prime?
True
Is (-5 - -4)/(2/(-62)) composite?
False
Let g = 37 - 24. Let v = 1 + g. Is v a prime number?
False
Suppose -r + 1 = 3. Let v be ((-24)/(-30))/(r/(-5)). Suppose -u - 20 = -v*u - 4*d, 0 = 3*d - 12. Is u composite?
True
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