
False
Let d be (-1)/3 - 64/(-12). Suppose 2*b = -5*t + 4*b + 655, -d*t - 3*b = -680. Is t a prime number?
False
Suppose 3*h + 3 = -0. Let j = h + 6. Let t = 12 - j. Is t a composite number?
False
Let m(q) = q**2 - q - 5. Let h be m(-3). Suppose 5*j + 322 = h*j. Is j a composite number?
True
Let w = 663 + -372. Is w a composite number?
True
Let i = -151 + 288. Let k = i - 82. Is k a prime number?
False
Suppose -5*p + 53 = -192. Is p composite?
True
Let j = -1 + 1. Suppose j = 2*b - 10, -3*o + 2*b - b + 106 = 0. Is o a composite number?
False
Let f(k) = 22*k**2 - 3*k + 3. Is f(2) a composite number?
True
Let c(k) be the second derivative of -k**4/12 - 7*k**3/3 - 4*k**2 + 3*k. Let m be c(-9). Suppose -3*i + 38 = -m. Is i prime?
False
Suppose 4*v - 2*m - 464 = 46, -v + 128 = -m. Let d = -174 + 100. Let y = v + d. Is y composite?
False
Let a = 198 + 35. Is a prime?
True
Suppose 0 = 4*l + 11 - 3. Let g be (3/(-2))/(l/4). Suppose g*a - 70 = a. Is a a prime number?
False
Suppose -6 = -2*l + 4*l. Is (9/l + 4)*199 prime?
True
Let l = 871 - 258. Is l a composite number?
False
Let n = -122 - -273. Suppose 5*d + 3*j - 158 = 0, 6*d - d = 4*j + n. Is d a composite number?
False
Let p = 523 - -118. Is p prime?
True
Suppose -3*c = 5*k - 61, -5*c + 28 = -c - 4*k. Suppose 2*q - 4*w + 169 = 3*q, 3*w + c = 0. Is q a composite number?
True
Let f = 120 - 74. Let t = f - -60. Is t a prime number?
False
Is 3 + 1091 + 4 + (-1 - -4) a prime number?
False
Let r(m) = -7*m**2 + m + 5. Let o(w) = -7*w**2 + 2*w + 5. Let a(i) = -5*o(i) + 4*r(i). Is a(6) composite?
False
Let r be (-126)/(-4) - 24/16. Let f = 143 - r. Is f a prime number?
True
Let l(g) = 2*g**2 - 3*g**2 + g + 0*g. Let j be l(-1). Is j/(-7) - (-5621)/49 a prime number?
False
Let d = 5 - 6. Is 21*1*(d + 2) a prime number?
False
Let b = 1 + 3. Suppose 89 = b*t - 7. Let a = 59 - t. Is a prime?
False
Suppose 10 = -2*p - 4*c - 0, -2*c + 1 = 3*p. Suppose 3 - 29 = -5*j + 2*y, y = -p. Is (-1)/j + 213/4 composite?
False
Let j(l) = 2*l**3 - 4*l**2 - 5*l - 1. Let k be j(4). Suppose 0 = -5*a + 758 - k. Is a composite?
True
Let d be (1/3)/(1/12). Suppose -d*j + 115 = -161. Is j a composite number?
True
Suppose 5*v + 554 = 3*o, -2*o + v + 2*v + 371 = 0. Let z = -72 + o. Is z a prime number?
False
Suppose -2*d = -s - 2*s + 2, -s + d = -1. Suppose -3 = -s*m - 3*m. Let o(c) = 116*c**3 - c**2 - c + 1. Is o(m) a composite number?
True
Let v(w) = -45*w**2 - 4*w + 5. Let k(b) = -44*b**2 - 5*b + 6. Let y(f) = 5*k(f) - 6*v(f). Is y(-1) prime?
False
Suppose 4*p = p - 546. Let r = p + 261. Is r a prime number?
True
Let i(k) = -22*k**2 + 6*k - 1. Let a be i(-3). Let f = -8 - a. Is f composite?
True
Let v be 22/4 - 1/2. Suppose -5*s + v*b + 1300 = 0, s + 3*b - 261 = 5*b. Is s composite?
True
Let v(w) = 5*w**2 - 2*w + 3. Let x be v(4). Let u = x + -26. Is u composite?
True
Let r = -639 + 937. Is r a prime number?
False
Let q be (-4)/3*(-18)/(-12). Let v be q/4 - 21/(-6). Is v/18 - 2283/(-18) composite?
False
Suppose 5*t - 2*t = 18. Let i = t + -4. Suppose -6*n = -i*n - 316. Is n a prime number?
True
Let q(i) = -i**3 - 3*i**2 + 2*i - 5. Let j(t) = -t**2 - 3*t + 2. Let o be j(-3). Suppose 9 = -o*g - 1. Is q(g) a prime number?
False
Suppose 4*g = 3*g + 5. Suppose g*u = 3*q + 104, -2*q + 89 = 3*u + 2*u. Is u prime?
True
Suppose z - 3*w = 118, 4*w = -4*z + 2*w + 542. Is z composite?
True
Let t(d) = d**3 - 2*d**2 - 2*d - 4. Let o be t(3). Let z be ((-2)/5)/(o/5). Suppose 0*y + y = z. Is y a composite number?
False
Is (1 - 0)/(3975/993 - 4) composite?
False
Let g(c) = c**2 + 1. Let d be g(-1). Suppose 4*j - 3*a = 3*j + 125, 2*j - d*a - 242 = 0. Is j composite?
True
Let c be (-6)/3 - (2 - 4). Is -37*(-1 + -1) - c a composite number?
True
Let z = 7 + -5. Suppose -r = -3*f + 1, 2*f = -0*r + 2*r - z. Suppose 4*u + 0*j - 460 = 4*j, -2*u + 222 = r*j. Is u prime?
True
Suppose -3*k + 4*u + 792 = -905, -5*u = -2*k + 1129. Let h = k + -230. Is h prime?
True
Let p(a) = -4*a**2 - 4*a - 6. Let c be p(-6). Let x = -69 - c. Is x composite?
True
Let i(b) = 46*b - 5. Is i(4) prime?
True
Let n = 145 - 99. Let o = 65 - n. Is o composite?
False
Suppose -i - 5*k = -34, -3*i + 2*k + 16 = -1. Is (3/(-1))/(i/(-531)) a prime number?
False
Let d(j) = 7*j**3 - j**2 - 9*j - 4. Let u(k) = -8*k**3 + k**2 + 10*k + 5. Let i(f) = 6*d(f) + 5*u(f). Let x be 5 + 2/((-1)/1). Is i(x) a composite number?
True
Suppose -3*d - 19 = -5*n, 2*n = 7 + 3. Let m = 10 - d. Is ((-10)/1)/(m/(-28)) prime?
False
Let j(g) = g - 1. Let o be j(4). Suppose -8 + 2 = -o*h. Suppose 2*v + h*v = 328. Is v a composite number?
True
Suppose 3*u - 20 = -u - 5*w, -4*u - 2*w = -8. Suppose u = -q - 3*l + 135, 5*q + 4*l - 524 = q. Let j = -71 + q. Is j composite?
True
Let h(z) = z**2 + 8*z + 2. Let s be 3/(-12) + (-62)/8. Let b be h(s). Suppose t - b*x = 65, -4 + 1 = -3*x. Is t prime?
True
Suppose -3*v + 4*w - 3*w + 8117 = 0, -2*v + 5408 = w. Is v composite?
True
Let h = 10 + -7. Suppose -3*t - 3 = 0, -4*l = -h*t - 6 - 1. Suppose -l + 88 = i. Is i prime?
False
Suppose 0 = -r + 82 + 66. Let m = -53 + r. Is m composite?
True
Suppose 2*v = 2*h + 30, 4 - 2 = -2*h. Is -31*(0 - (v - 3)) composite?
True
Let x = 4739 + -3198. Is x prime?
False
Suppose -4*d = 4, -3*u - 2*d + 193 = -3*d. Suppose 4 = 2*n, 4*n = 3*z + 3*n - 85. Let b = u - z. Is b a prime number?
False
Let z = -2 + 4. Is (400/2)/1 + z a composite number?
True
Let q(b) = -110*b - 1. Is q(-3) composite?
True
Let x = 337 + -218. Is x prime?
False
Suppose 3*m + 3 = 12. Suppose n + 3*n = -4*l, m*l - 3*n = 18. Suppose -165 = -l*j - 0*j. Is j composite?
True
Let a = 994 + -317. Is a a composite number?
False
Suppose -220 - 134 = 3*h. Let j = -65 - h. Is j composite?
False
Suppose s + 0*s = c, 0 = 3*c - 15. Suppose 5*f - m - 383 = m, 3*f = -s*m + 236. Is f composite?
True
Let i(o) = -o + 3. Let w be i(3). Suppose v + 2 - 3 = w. Suppose -5*h + 0*k - 3*k = -v, h = 3*k + 11. Is h a prime number?
True
Let b(c) = 6*c**2 + 5*c + 1. Let u be b(-4). Is 0 - (u + 2)/(-1) a composite number?
False
Let l be (-8)/(-14) + (-414)/63. Is ((-3310)/15)/(4/l) prime?
True
Let d = -46 - -99. Is d a composite number?
False
Let a = 564 + -964. Let t(z) = -4*z**3 - 7*z**2 + 5*z + 9. Let d be t(-6). Let r = a + d. Is r a composite number?
False
Let o = 0 - -6. Let t be (8/3)/(2/o). Let u = 3 + t. Is u a prime number?
True
Let v(i) = -8 + 4*i + 0 + 1 + 2*i. Is v(7) a prime number?
False
Let r(w) = 26*w**2 - 8*w - 1. Is r(6) composite?
False
Suppose -5*a = -3*w + 138, -w + 3*a = 3*w - 184. Let f = 39 + w. Is f a prime number?
False
Suppose 559 = 5*w - 4*b, b + 488 = 4*w + 32. Is w composite?
True
Suppose l + 0 = 6. Let t = l - -4. Is t composite?
True
Let p be -2*((-663)/6 + 2). Suppose m - 42 = p. Is m a composite number?
True
Let q be 4/6 - 118/(-3). Is (3/(-3) + q)/1 a prime number?
False
Let h(s) = 0*s**3 + 2*s + 25 + s**3 - 3*s. Is h(0) a composite number?
True
Let i(h) = h**3 + 0*h**3 + 5 + 0 + 6*h**2 - 2*h**3 + 5*h. Let w be i(-4). Suppose s - w = a, -4*a = 2*s - 63 - 251. Is s prime?
True
Let i(x) = 92*x + 1. Let z be i(2). Let f = z - 128. Is f prime?
False
Let p be 28/6 + (-19)/(-57). Suppose m = 5*m - 4*i - 492, p*i = m - 127. Is m composite?
True
Suppose 2*t = 6*t - 7580. Is t composite?
True
Suppose 3*j = -0*j + 1833. Is j composite?
True
Suppose 0*r - 4*r - 60 = -5*n, 0 = 2*r - 2*n + 28. Let w(j) = j**2 - 3*j + 1. Is w(r) a prime number?
True
Let n(s) = 183*s + 43. Is n(6) a composite number?
True
Suppose -3*t = -0*t - 93. Is t a composite number?
False
Suppose 3*w - 6 = -2*v, -w + 3*w = -4*v + 12. Let f(m) be the second derivative of -m**4/12 + 11*m**2/2 - m. Is f(w) a prime number?
True
Let p(o) = -28*o + 4. Let s be p(-4). Suppose 9*t = 5*t + 324. Let u = s - t. Is u composite?
True
Let o(c) = c + 1. Let k be o(-1). Suppose h - 2*q + q - 228 = k, -2*q = 2*h - 436. Is h composite?
False
Suppose 3*w + 2*w + 8 = -4*m, -8 = 4*w + 4*m. Let i(j) = -j - 28. Let a be i(w). Is a/(-5)*45/18 prime?
False
Suppose 3*u = -3*n + 4*n + 9, 0 = -3*n + 5*u - 15. Suppose n = i + 2*i - 318. Suppose 2*k = 2*d - 170, 4*k - i + 529 = 5*d. Is d prime?
True
Suppose 3*g - 37 = -4*h, 0 = 4*g - 5*h - 0 - 8. Let p = 25 + -27. Is p/7 + 65/g a composite number?
True
Suppose -f - f - 4 = 0. Let q be f*5*