e
Let y(p) = 5*p**3 - 66*p**2 + 75*p - 104. Is y(35) prime?
False
Let z(s) = 181*s + 93. Let p(i) = 179*i + 93. Let w(c) = 5*p(c) - 6*z(c). Is w(-34) a composite number?
True
Is (1 - 0)*(-13924525)/(-25) a prime number?
True
Suppose -140*u = -10*u - 51404470. Is u a prime number?
False
Is -1*(-41 - -490483)*1*(-2)/4 composite?
True
Let z = 1269 + 2421. Suppose 2314 + z = 4*q. Is q prime?
False
Suppose 0 = -a + 1, 2*a - 159 = i + 943. Let s = i + 1783. Is s composite?
False
Let g(u) = -26*u + 144. Let o be g(5). Suppose 0 = -o*b + 13*b + 2999. Is b a composite number?
False
Let n = 34 + -30. Suppose 0 = -n*z + 5*z + 3*i - 1361, 3*z - 4083 = -2*i. Is z a prime number?
True
Let v(m) be the second derivative of -7*m**3/2 - 5*m**2/2 + 53*m. Is v(-6) a composite number?
True
Let v(n) = 305*n + 6. Let t be v(-1). Let l = -180 - t. Suppose l = g - 42. Is g prime?
False
Let u(z) = -z**3 + 42*z**2 + 67*z + 93. Let t be u(42). Suppose t = 2*b - 871. Is b a composite number?
False
Let r = -3325 - -47926. Is r prime?
False
Let n = -17 - -11. Let a(d) = 30*d**3 - 11 - 7*d - 8*d**2 - 31*d**3 + 11*d**2 - 4*d**2. Is a(n) a prime number?
True
Let y(s) = 21174*s**2 - 21*s - 32. Is y(5) prime?
True
Let z = 56953 + 60078. Is z composite?
True
Let f(x) = -20*x + 6693. Let l be f(0). Suppose 6*q - l = 13653. Is q prime?
True
Suppose 27740*o + 2797454 = 27762*o. Is o a composite number?
False
Let l = 7256 - -36633. Is l a composite number?
False
Let b(t) = t**3 + 18*t**2 + 13*t - 36. Let n be b(-18). Let r = n - -11327. Is r prime?
True
Suppose -7*v = -95 - 115. Suppose r = 2, -3*p = 5*r + 8 - v. Suppose -1948 = -p*m + 3496. Is m prime?
True
Let j = 763 + 953. Suppose 4*d - j = -q - 2*q, -5*q - 429 = -d. Suppose -4*s + 207 = -d. Is s composite?
True
Suppose 0 = 5*d + 2*m - 48, -3*d + 41 = d - m. Let a be (-50)/(-18) - d/(-45). Suppose 2*p + i = -0*i + 447, 674 = a*p + 5*i. Is p prime?
True
Suppose -7*f - 40 = f. Is -4 + (f - -7) + 553 a prime number?
False
Suppose -5*m - 20 = -9*m. Suppose 0*v - 5*v = 5*k - 45, k - m*v + 3 = 0. Suppose k*g = 3010 + 1407. Is g a composite number?
False
Suppose 0 = -5*t + 3*c + 2354134, 0*c - 14 = -2*c. Is t a prime number?
True
Let f(h) = 1193*h + 63. Let k(q) = 597*q + 32. Let r(y) = 3*f(y) - 5*k(y). Is r(5) a prime number?
True
Let v(f) = -4*f**3 + 11*f**2 - 8*f + 10. Let c be v(-25). Is (-3)/(6 + 0) + c/6 prime?
True
Let n be (-2)/14 - 266955/273. Let m = n + 1717. Is m a prime number?
True
Suppose -2 = 2*z, -5*z - 35 = 6*o - o. Let g(k) = -3*k. Let r be g(2). Is (-2976)/o + (3 + r)/1 composite?
True
Let u be ((-2)/13 + (-44)/52)*16. Is (u/(-4) - 3) + 357 prime?
False
Let i = -17445 + 30182. Is i a prime number?
False
Let h(m) = 2852 + m**3 + 3*m**2 + m**2 - 942 - m + 2*m. Let b be h(0). Suppose -g - g = -b. Is g prime?
False
Suppose 122 = k - o + 18, 5*k = 3*o + 524. Suppose -117*r + k*r = -375353. Is r a composite number?
False
Let t(w) = -99*w + 15. Let a(l) = -10 + 9 - 6 - l - 2. Let n be a(-5). Is t(n) a prime number?
False
Suppose -10*y + 4362 + 69982 = -2*y. Is y prime?
True
Let n(q) = -86*q - 7. Let f be -11 - -11 - 4*-1. Let z = -7 + f. Is n(z) a composite number?
False
Suppose 0 = -12*v + 6*v + 12. Let y be v/12*32*-84. Let u = y + 659. Is u prime?
True
Suppose -5*m + 18 = 4*m. Suppose -d = -j - 9233, 0*d - m*d = -5*j - 18478. Is d a prime number?
False
Let u = 52243 + -7690. Is u a prime number?
False
Let k(x) = -146*x + 10. Suppose -4*n - 2*q = -3*q + 62, -30 = 2*n - q. Let z be k(n). Let r = -965 + z. Is r a prime number?
True
Suppose 12*d - 9*d + 4*i + 6 = 0, -3*i - 9 = 0. Is (0 + 6718)/(d/1) prime?
True
Let z = -44677 - -25518. Let s = z + 39108. Is s prime?
True
Let u(i) be the first derivative of -i**7/840 + i**6/72 - 2*i**5/15 - i**4/24 + 7*i**3/3 - 5. Let r(p) be the third derivative of u(p). Is r(-9) a prime number?
True
Suppose 5*w + 5*u - u - 2 = 0, 5*u = 4*w - 18. Is 22582/(-105)*-12 - w/(-10) a prime number?
False
Let x be 7/5 - 3/(-5). Suppose 4*g - 3*r = 263, -4*g + x*r + 320 = g. Is g a prime number?
False
Let i(y) = -600*y + 41. Let s be i(-11). Suppose -3*j + s = -2*x + 6*x, -4*j = 20. Let a = 2243 + x. Is a composite?
False
Let m = 26 + 30. Let v be m/(-420) - 32/(-15). Suppose -3*g + 4089 = -v*r, 0*r - r - 3 = 0. Is g a composite number?
False
Suppose -32 = -27*f + 76. Is (-12)/f + 9338/4*2 a prime number?
False
Let q = -34 + 70. Suppose 29*i + 2639 = q*i. Is i a prime number?
False
Let x(p) = p + 15. Let j be (6/(-5))/((-6)/(-30)). Let a be x(j). Is a/6*(-6330)/(-9) prime?
False
Suppose 29*c - 26*c - 139461 = 5*l, 4*c - 6*l = 185944. Is c a composite number?
False
Let k = -65 + 68. Suppose a = -k*u + 20, 0*u - 5*u + 5 = -4*a. Suppose j = u*j - 508. Is j composite?
False
Let a(m) = -165*m**3 + m**2 + 2*m + 2. Let d be a(4). Let p = d + 15613. Is p a prime number?
False
Suppose -8*h - 192630 = 7*h. Is h/(-7 + 5 + 0) a prime number?
True
Suppose 3856329 = -18*z + 13665627. Is z a prime number?
True
Let u be (2*(-28)/8)/(-1). Suppose -u*h = -6*h - 9257. Is h prime?
True
Is 2*23071/(((-32)/(-24))/(-1 + 3)) a prime number?
False
Let o(p) = -272*p**3 + 35*p**2 + 134*p - 24. Is o(-7) composite?
False
Let m(l) = -43*l**2 - l + 1. Let x be m(1). Let s = x + 47. Suppose -4*q + s*t = -27526 - 26538, 5*t = -5*q + 67590. Is q composite?
True
Suppose -3*k - 5 = -4*k, 2*s - k = -1. Suppose -4*d + 4*l = -10040, 4*d + s*l - 1235 = 8823. Is d composite?
True
Suppose 34 = h - 3*o, 5*o - 85 = -4*h - 0*h. Suppose 10*y - 25 - h = 0. Suppose 0 = -4*u - 4*d - 387 + 3423, 0 = -y*u + 4*d + 3759. Is u a prime number?
False
Suppose 10 = 2*r, -5*r = -4*u + 10 - 31. Let x be u/(36/(-8) - -5). Suppose -50 = -3*q - x*n - 3*n, -3*q + 44 = -n. Is q composite?
True
Let n = -131383 - -308682. Is n a composite number?
True
Let t(l) = -4 + 2 - 1 + 2. Let j(z) = 4*z**2 - 2*z + 15. Let h(i) = j(i) + 4*t(i). Is h(6) a prime number?
False
Let p(r) be the third derivative of r**5/60 - r**4/8 - 5*r**3/6 + 12*r**2. Let f be p(4). Is (-159)/f + 4 + -5 prime?
False
Let b be 2/(6 + -3 + -1)*0. Is (106/(-4) - b)/((-12)/696) prime?
False
Let j(v) = 26*v + 21. Let i be j(2). Let t = i - 20. Is t a composite number?
False
Let y(q) = -2*q**3 + 13*q**2 - 7*q + 13. Let l be y(6). Let w(j) = 13*j**3 + 12*j**2 + 5*j - 11. Is w(l) prime?
False
Let x(f) be the first derivative of -f**4/4 - 5*f**3/3 - 4*f**2 - 3*f + 26. Let y be x(-6). Is 74457/y + (-48)/(-27) + -2 prime?
True
Is 46140899/294 + 5/(-6) a prime number?
True
Let s = -25 + -34. Let z = -37 - s. Suppose z - 107 = -h. Is h composite?
True
Let z be ((-20)/(-6))/(4/6). Suppose -2*n + j = -12, -7*j + 4*j - 31 = -z*n. Suppose -5*w - 10850 = -n*m, -5*m - w - w + 10857 = 0. Is m composite?
True
Let m = -60963 + 151558. Is m a composite number?
True
Suppose 4572415 = 5*k + 4*o, -84*k + 81*k + 4*o = -2743417. Is k a prime number?
False
Suppose 0 = 6*i - 7*i - 8. Let s be (1 + 0 + 229)*i. Let t = -1071 - s. Is t a prime number?
True
Is (-7 - (-1124552)/(-66))*-15 a prime number?
False
Let v = 31 - 26. Suppose j + 4*b + 6 = 0, j + 2*b + v = 1. Let y(d) = -146*d + 1. Is y(j) composite?
False
Suppose 7*n - 14033 - 657582 = 0. Suppose -n = -20*k + 421635. Is k a prime number?
False
Let p be -2 - (2 + (-1 - 52245)). Suppose -10*v = -p - 35848. Suppose 3*k + 2*j - 8648 = -2045, -v = -4*k - j. Is k a prime number?
True
Is (9/6 + 0)*(-10323116)/(-426) prime?
False
Let f = -159178 + 239136. Is f a composite number?
True
Let h(g) = g - 23. Let r be h(23). Is (r - (2306 + -4))/(-1*2) a prime number?
True
Is (-44)/110*5*(-380942)/4 a composite number?
False
Let i = 5613 - 38454. Let v = -15058 - i. Is v composite?
False
Let n(l) = l**2 + l - 13783. Let o be n(0). Let q = o + 29796. Is q composite?
True
Suppose -3*l + 13 = g + g, -g - 5*l + 10 = 0. Suppose -g*k = -r - k + 3315, 0 = 3*r - 5*k - 9917. Is r composite?
False
Suppose -61*q - 4986635 = -29680594. Is q composite?
False
Let y(k) = -12138*k + 8557. Is y(-27) a prime number?
False
Let t be -5 + (-8 - -7 - 7566). Let o = t + 10609. Is o a prime number?
True
Suppose 4*o + 3646 = 2*f, -525*f + 521*f + 7292 = 2*o. Is f prime?
True
Let a = -806 + 1472. Let t(r) = 7*r**2 + 1290*r - 400. Let x be t(-185). Let q = x + a. Is q prime?
False
Let a = -2308 - -4577. Suppo