composite number?
True
Suppose 0*d + 31 = 3*d - 5*s, d - 2*s - 12 = 0. Suppose b + d*a - 481 = 0, 7*b - 12*b = 5*a - 2405. Is b a prime number?
False
Suppose -4*u = -r - 6*u + 8402, 4*r - 33548 = 4*u. Suppose 0 = 11*b - 3*b - r. Is b composite?
False
Suppose -3 = i, h + 15514 = 35*i - 34*i. Let f = 21940 + h. Is f a composite number?
True
Let w = 467 + -462. Let l(g) be the second derivative of 3*g**3/2 - 10*g**2 + 4*g. Is l(w) a composite number?
True
Let g = 57 + -55. Let c be 7 - 2 - (1 - (3 - g)). Suppose -c*p - p + 6906 = 0. Is p prime?
True
Let p be 63905 + 1 - ((-1 - 10) + 13). Suppose -4*u - 2*j + p = 0, 2*u + 5*j - 34 = 31910. Is u prime?
False
Let p(o) = 15*o + 12*o - 3*o**2 + 8*o**2 + 3*o**2 + 12 - o**3. Let r = -708 - -718. Is p(r) a composite number?
True
Suppose 19*k - 24*k = -5*o - 293675, 5*k = 4*o + 293679. Is k composite?
True
Suppose 4*t + w - 643 = 0, 0 = -4*t - 3*w + 849 - 208. Let m = 538 + t. Let k = m - -1284. Is k prime?
False
Let v be -3*(-88)/6 - (-29 + 32). Let d be (-52 - 1)/(-4 - -3). Is (v - -10)*d/3 composite?
True
Suppose -3*i = 4*k - 9, -3*i = -6*i + 5*k + 9. Suppose -4*w + 5*s + 78072 = 0, -i*s = -7 - 5. Is w composite?
True
Suppose -6*s + 6*s = -2*s + 272398. Is s a composite number?
True
Suppose -f = -5*p - 5499, 6*p = 11*p + 4*f + 5479. Let l = 2186 + p. Is l a composite number?
False
Let n be (0 - 2) + (-1 - 401). Suppose 0 = 4*y - 20, -3*j + 0*j + 4*y - 785 = 0. Let w = j - n. Is w a prime number?
True
Suppose 0 = -36*t + 10610 + 7642. Let r(l) = -l**2 + 5*l - 2. Let k be r(4). Suppose k*p = -4, -t = 2*v - 3*v + 5*p. Is v a prime number?
False
Suppose 0 = 46*o - 14785144 - 12560890. Is o prime?
False
Suppose 4*l - 359071 + 2202031 = 3*m, m - 460740 = l. Is (-2)/(-10) - l/175 a prime number?
True
Suppose 2328 + 9138 = -f. Is 4 - ((-6 - 1) + f) a composite number?
True
Let b(a) = -3*a - 11. Let o be b(3). Let x = -23 - o. Let q(m) = 34*m**2 + 3*m + 1. Is q(x) prime?
False
Let p = -79597 - -141218. Is p prime?
False
Is 75741/((-6)/(-7)*14/4) prime?
True
Let f be 1 + -18 - 0/(-2) - -1. Let q be 3 + 0 + -7 - -2. Is (76 + q)/(f/(-56)) a prime number?
False
Is (455/195)/((-21)/(-195462)) a prime number?
False
Suppose 5218050 = 6*j - 4231668. Is j composite?
False
Is (2 + (-15)/9)/(5/49268655*27) prime?
False
Let d be 46/10 + 9/(-15). Suppose -n + 3*h = 1 - 4, 0 = -d*n - 3*h + 12. Suppose -3*r = -0*m + 5*m - 450, -5*r = -n*m - 716. Is r a prime number?
False
Let t = 686 - 684. Is (t + -4)/(-11 - (-1855790)/168710) a composite number?
False
Let j = -6869 - -11678. Suppose -2*r - 3*a = 1338 - j, -8640 = -5*r + 5*a. Is r prime?
False
Suppose 5*c + d = -114, 2*c + 32 = -5*d - 9. Is (c/(-4))/((-1)/(2676/(-3))) a composite number?
True
Let y(f) = 3*f**2 - 3*f + 4. Let n be y(1). Suppose -n*b - 208 = -12*b. Is b prime?
False
Suppose -2*r + 28464 = 2*r. Is 1/(8/r)*6/9 a prime number?
True
Let b(i) be the third derivative of i**4/4 - i**3/3 + 6*i**2. Let f be b(1). Suppose -f*k + 2*s + 584 = -s, 4*k - s = 592. Is k composite?
False
Suppose 4*v + 12041 = -2367. Let z = 12 - 22. Is ((-5)/z)/((-1)/v) composite?
False
Let d = -518637 - -1110376. Is d a prime number?
True
Suppose 190 = 5*d - 90. Let z = d + -50. Suppose -h - 1490 = -z*h. Is h a composite number?
True
Let b(p) = 9*p**2 + 10*p - 92. Let h(f) = 16*f - 63. Let y be h(3). Is b(y) a prime number?
True
Let o be 23*(5 + -3 + 50). Let t = 3033 - o. Is t a prime number?
False
Suppose -2*d = -3*b - 11611 - 48763, 5*d - 150885 = -5*b. Is d prime?
True
Let x(u) = -u**2 - 5*u + 16. Let k be x(-7). Let d = 4 - k. Is ((-623)/14)/(d/(-4)) a prime number?
True
Suppose 5*r - 14 - 11 = 0. Suppose 3*d - 4*v = 6925 + 78, r*d - 11653 = 2*v. Suppose 0*u - 4*u - d = -q, -4*q = u - 9333. Is q composite?
False
Is 48/(-104) - (-704879)/13 composite?
True
Is -13372*(-442)/104 + 10*-1 prime?
True
Suppose 0 = 27*q - 65*q + 19618526. Is q prime?
True
Let h(x) = 22*x**2 + 3*x - 13. Let v(z) = z**2 - 1. Let t(g) = -3*g**2 - 2*g + 16. Let d(b) = t(b) + 2*v(b). Let o be d(-4). Is h(o) prime?
True
Suppose 0 = 22*i + 1943 - 16045. Is i prime?
True
Let d(c) = 9295*c**2 - 197*c - 1415. Is d(-7) a prime number?
True
Suppose 9*p + s = 4*p - 15, -3*p + 5*s = 37. Let v(r) = -21*r + 13. Let o be v(p). Let d = o - -106. Is d a prime number?
False
Is (-3)/(-54) - 26136650/(-612) a composite number?
True
Let z(b) be the first derivative of 132*b**2 - 2*b + 3. Suppose 4*v - 6*x - 10 = -11*x, 0 = -v - 5*x - 5. Is z(v) prime?
False
Let w(i) = 195*i - 64. Suppose -325 = -6*l - 211. Is w(l) prime?
False
Let o = 554230 + -327843. Is o composite?
True
Let c = 56 - 53. Suppose 3*f + c*l - 8 - 7 = 0, 2*f = 4*l - 20. Suppose -3*v - 23 + 164 = f. Is v composite?
False
Let i(l) = 78*l + 5. Suppose -84 = -6*u - 78. Is i(u) a composite number?
False
Let o(k) = -7*k - 72. Let h be o(-11). Suppose 3*t + h*z = 7773, -10*z = -14*z. Is t a prime number?
True
Let b(k) = 93*k - 16. Let n(m) = m. Let h(q) = -b(q) - n(q). Let y be h(3). Let v = y - -399. Is v prime?
False
Let h(y) = 4*y**3 - 16*y**2 - 8*y + 66. Let a be h(7). Suppose 3*j = 8 - 2. Suppose -a = -j*s + 2*f, 3*s + f - 540 = 365. Is s prime?
False
Suppose -3*f = -2*p + 23, -10*f + 12 = -14*f. Suppose -2*v = -p*o + 12*o - 15045, 4*o = -3*v + 12029. Is o prime?
True
Suppose 0 = 4*b - 0*b + 132. Let k = b - -21. Is 88 + (k/(-18))/(2/9) prime?
False
Suppose 14*u - 172531 - 114847 = 0. Is u a prime number?
False
Suppose 2*b + 0*w - 20531 = -5*w, 5*b + w = 51362. Suppose 6*y - b = -1015. Is y a prime number?
True
Let s(n) = 2*n**3 - 9*n**2 - 5*n + 35. Let j be 0 + (-9)/(-6)*(-12)/(-2). Is s(j) a prime number?
True
Let q(w) = -w + 3 + 7 + 3 - 3. Let u be q(8). Is (79305/(-10))/(-3) + u/(-4) a composite number?
True
Let b(u) = 21464*u - 145. Is b(3) a composite number?
True
Suppose -108*b + 3945661 = -10987607. Is b a composite number?
True
Let n(c) = c**2 - c - 1. Let l(w) = -1204*w**2 - 10*w + 4. Let o(y) = -l(y) + n(y). Is o(-3) a prime number?
False
Let o(r) = 8724*r - 13861. Is o(7) composite?
False
Is (1 - (-442696)/6) + (-73)/(3066/28) composite?
False
Is 442106/2 + (-90)/16 + (-102)/272 a prime number?
True
Let f(b) = 46*b + 18. Let x be f(3). Let y be 1068/x - (-1)/(13/2). Suppose y*t = -1440 + 8629. Is t composite?
True
Is ((-37)/(-185))/((-9)/15)*-202893 a prime number?
True
Suppose -6 = -n - 2*n. Suppose 5*b = -0*l + 2*l, n*b + 2*l = 0. Suppose b = 2*o + 4*o - 5526. Is o prime?
False
Let y = -33083 + -887. Let j = -3023 - y. Is j prime?
False
Suppose 10 = -2*l - 2. Let f(u) be the second derivative of -u**5/20 - u**3/6 + u**2/2 + 86*u - 1. Is f(l) prime?
True
Suppose 0 = 4*f - 2*y - 0*y - 28, 5*y = f + 2. Suppose -f*i + 9874 - 3154 = 0. Let z = i - 533. Is z prime?
True
Let b(y) be the third derivative of 17*y**6/180 - y**5/60 + 5*y**4/24 + 3*y**3 + 24*y**2. Let h(j) be the first derivative of b(j). Is h(-5) composite?
True
Suppose 129*y = 108*y - 252. Is 511813/268*3*y/(-9) a prime number?
True
Suppose -3*f + 4*p = -16, 2*f - 4*p - p = 13. Suppose 0 = -14*a + 9*a + f*i + 8897, -5*a - 5*i = -8915. Is a prime?
False
Let o(y) = 100 - 142*y - 64 - 250*y - 83*y. Is o(-11) composite?
False
Let k = -157 - -165. Suppose 0 = 4*y - k, 2*j + 3*y = 30 + 18. Is j a composite number?
True
Suppose 24*w = 114 + 6. Suppose 2*n = n + 3*y + 73, -15 = -w*y. Is n a composite number?
True
Let s be (-5 + 1358/(-7))/(1/(-19)). Let w = -2144 + s. Is w a prime number?
True
Suppose -4002 = 4*j + 14434. Let z = j - -7062. Is z a composite number?
True
Suppose -2*v - 83121 - 25342 = -a, -3*v = 9. Is a prime?
True
Suppose 7*n - 6*n = 5. Suppose -2*u + 3*i + 2*i = 805, -2*i - 1969 = n*u. Let x = u - -660. Is x composite?
True
Let q = -112 + 109. Is 2/((-8)/q) - 389354/(-232) prime?
False
Let v(f) = 2*f + 56. Let d be v(-20). Suppose -2*t + 3824 = 2*o, 15*o + 5 = d*o. Is t prime?
True
Suppose -2*t - 4*z - 27 - 41 = 0, 130 = -5*t - 2*z. Let y(p) = -2*p**3 - 27*p**2 + 42*p - 71. Is y(t) a composite number?
True
Let g = 113181 - 59988. Suppose g = 6*i + 15*i. Is i a composite number?
True
Suppose -65*g - 21497 = -330832. Is g prime?
True
Let d(n) = 114*n**2 - 99*n + 634. Is d(39) a composite number?
False
Let x = -48 - -49. Is x*(-1)/(-3*(-4)/(-58668)) a composite number?
False
Is 38515544/4