 a. Is w a prime number?
True
Suppose 0 = 5*b + 9*r - 6*r - 88999, 89007 = 5*b - r. Is b prime?
False
Is 756407/6 + 415/(-498) prime?
True
Is 89462/4 + 426/284 a composite number?
False
Let v(w) = w**3 + 4*w**2 - 6. Let z be (16/20)/((-1)/5). Let q be v(z). Is (-945)/q + (-8)/16 a prime number?
True
Let o = -82 - 174. Is 21534/10 + (o/40 - -6) prime?
True
Suppose 2*o + 9*o - 104071 = 0. Suppose o = -6*w + 26375. Is w composite?
False
Let r(h) = 2*h**2 + 2*h - 8. Suppose 48 = -2*u + 48. Let f be r(u). Is ((-3)/(9/(-2)))/(f/(-4092)) prime?
False
Let f = -22 - -25. Let r = f + 2. Suppose -v + 144 = -5*u, 4*u = r*v - 0*u - 825. Is v a prime number?
False
Let s(y) = 24*y + 4*y**2 + 49 + 7*y + 6*y - 5*y**2 + 8*y. Is s(21) a prime number?
False
Let f = 9 - 13. Let w be -4 - (1 + (f - 1)). Suppose 0 = 3*i + g - w*g - 346, -3*g + 233 = 2*i. Is i a prime number?
False
Let v = -353016 - -613063. Is v prime?
True
Let s(t) = 11*t - 8. Let z be s(1). Is 3828 - (z + (4 - 0)) a prime number?
True
Suppose 0 = -10*y + 7 - 47. Is 4 + -4*(9954/y + -4) a composite number?
True
Let d = 490 - 482. Is (-2510)/3*(d/(-16) - 1) a composite number?
True
Let h be 1*(1 - 2)/(1/(-5)). Suppose 12*d - 16*d - 2*q + 22468 = 0, -16851 = -3*d + h*q. Is d a prime number?
False
Let v(s) = -s**2 - 2*s + 5. Let h be v(-5). Let z = 6 + h. Is (z - -801) + 0 - 0 prime?
True
Suppose 42 = 5*i - u, -4*u + 33 = 4*i - 5*u. Is ((-80785)/(-45) - 0) + (-2)/i a composite number?
True
Let f = 257 + 46. Suppose 12*d = f - 87. Suppose 0 = d*v - 20*v + 634. Is v a composite number?
False
Suppose -16 = -4*j - 4*g, -j + 0*j + 4*g + 9 = 0. Suppose -2*v = 0, 0 = 3*x + 3*v - j*v - 6387. Is x a prime number?
True
Let d be (2 - -1) + 1324 + 3/1. Let k = -856 + d. Let q = k - 217. Is q composite?
False
Let j be ((-7777)/(-11))/((-1)/(-3)). Let a = j + -970. Is a composite?
False
Let s = 71200 + -32841. Is s composite?
True
Let f = -43 - -20. Let b = f + 23. Suppose b*i - 4*i + 956 = a, 0 = -2*a. Is i composite?
False
Let q(z) = -z**2 - 9*z - 12. Let p be q(-7). Suppose p*d + 2*d - 16 = 0, -3*g + 2*d + 31 = 0. Let s = 126 - g. Is s a prime number?
True
Suppose 0 = 7*s + 5 + 9. Let j = s + 3. Is j - -2 - (-115 + -1) prime?
False
Is (48/9)/(-4)*1530885/120*-6 a prime number?
True
Suppose 5*w + 9008 + 29059 = 189832. Is w composite?
True
Let d = -5254 + 10785. Suppose 3*x - d = 2*o, 2*x - o + 0*o = 3689. Is x a composite number?
False
Let n(u) = 2*u**3 + 27*u - 4. Suppose 5*d - 60 = 3*k, 0 = 28*d - 31*d - 2*k + 55. Is n(d) prime?
True
Suppose -282*h + 3279574 + 5595687 = -263*h. Is h prime?
True
Let l(d) = -31115*d**3 + 9*d**2 + 2*d - 31. Let z(u) = -15558*u**3 + 5*u**2 + u - 17. Let k(y) = -6*l(y) + 11*z(y). Is k(1) prime?
True
Let x be 1/(-6) - 76/(-24). Suppose 0 = 3*r - 5*c - 3726, 4*r + 4*c - 3299 - 1669 = 0. Suppose 4*n + r = j + j, x*n = -4*j + 2429. Is j composite?
True
Let v = -59 + -63. Let l = 1560 + v. Is l prime?
False
Let d(t) = -2956*t**3 + 9*t**2 + 14*t - 5. Let h be d(-5). Suppose 20*c + 30*c = h. Is c a prime number?
True
Let t(v) = -v + 9. Let g be t(5). Let r be ((-19690)/g)/(-11)*(1 + -3). Let o = -468 - r. Is o composite?
True
Suppose 0 = 3*q - 2*l + 2, -2*l = -2*q - 3 + 1. Suppose 2*t - 16 = 4*a, q = -t - 4*a + 5*a + 4. Suppose -22*z + 20*z + 596 = t. Is z a composite number?
True
Suppose 16206790 = 196*k - 4728558. Is k a composite number?
True
Suppose 5*m - 25 = -5*k, 3 = 5*k - 2*m - 1. Is ((-52)/208)/(-1*k/7096) prime?
True
Suppose 17*n + 9*o = 12*n + 1695910, 1356667 = 4*n - 5*o. Is n a composite number?
False
Suppose -1780*g + 1779*g + 1289156 = -5*j, 3*g - 3867518 = 5*j. Is g composite?
True
Let h(r) = 2*r**2 + 17*r + 30. Let n be h(-6). Suppose -4*y - 1398 = 2*z - 8234, n = -2*y + 2*z + 3418. Is y composite?
False
Suppose 15*g + 894466 = 4400181 + 1051270. Is g composite?
True
Suppose -d - 7*d = -40. Suppose -310452 = -4*i - 4*j, 8*i - 77601 = 7*i + d*j. Is i prime?
True
Let v(c) = 1019*c**2 - 214*c + 79. Is v(-8) prime?
False
Suppose q - 1 = -4*i, -q - 10 = 4*q + 5*i. Is (4*(-3)/(-8))/(q/(-9822)) composite?
True
Suppose 34*q + 35*q = -75871 + 20326. Let z(b) = -50*b + 2. Let a be z(-2). Is q/(-4) - (a/24 + -4) composite?
True
Let b(f) = -13761*f + 1796. Is b(-5) a prime number?
False
Is (-26317150398)/(-19208) - (-1)/(-28) composite?
True
Let k be 39/1 + -1 + -2. Let l = k + -34. Suppose 2*h + l*h = -r + 3561, -5*h = -5*r - 4420. Is h composite?
True
Suppose -3*j - 2*s = -1431179 + 285968, 0 = -3*s. Is j composite?
False
Suppose -86*u + 90*u + 20 = 0. Let q = u + 10. Suppose 5*x - 5627 = 4*l, 0 = q*x + 3*l - 4*l - 5618. Is x a composite number?
False
Suppose -35357 = -3*y - i - 763, -6*i + 46130 = 4*y. Is y a composite number?
True
Let h(w) = -4*w - 4. Let s be h(-3). Suppose 9*k - s = 19. Suppose 10*b + k*g = 5*b + 3467, -g + 2077 = 3*b. Is b prime?
True
Suppose 28*v - 396953 - 3807107 = 0. Is v prime?
False
Let l = -111134 - -75483. Let z = l - -65568. Is z composite?
False
Suppose -37*x + 20268 = -31*x. Suppose 5*u + 2*b = 5630, -3*u + 0*u + x = 5*b. Is u a prime number?
False
Let x(b) = -19*b**2 - 3*b - 3. Let g(a) = a**2. Let j(l) = 3*g(l) - x(l). Suppose -16*i - 7 - 25 = 0. Is j(i) composite?
True
Suppose 5*j + 2*r + 9029 = -9193, r - 7287 = 2*j. Let f = j - -1749. Let b = -808 - f. Is b prime?
True
Suppose -2*g = x - 219434, 0 = -4*g - 4*x + 404305 + 34563. Is g composite?
False
Let n be 0/(-5 + 9 + -3). Suppose n = 24*m + 36378 - 595218. Is m composite?
True
Let z(g) = -76436*g**3 - 6*g**2 + 76*g + 251. Is z(-3) a composite number?
False
Suppose 4*s = 16, 2*s = -2*c + 3*s - 1520. Let d = -2731 + 1294. Let m = c - d. Is m a prime number?
False
Let n be ((-26)/(-3))/(12/252). Suppose 11*o + 50 = n. Suppose -6 = 2*b - o. Is b a prime number?
True
Let d(s) = 8*s**3 + 6*s**2 - 7*s - 14. Let z be d(13). Suppose z = 12*u - 66139. Let n = -2857 + u. Is n prime?
False
Suppose 9*q - 56639 = -20117. Suppose 2*r + q = 14956. Is r a composite number?
False
Suppose 0 = -a + n + 3836, -239*n + 241*n = 5*a - 19171. Is a a prime number?
True
Suppose -4*y + 3*x = -3851000, 15*x - 14*x = -4. Is y composite?
False
Suppose -29*k - 22*k + 156307 = -50*k. Is k a composite number?
False
Let g(y) = -23*y + 146. Suppose 0 = -8*u - 53 - 51. Is g(u) prime?
False
Suppose -2*s + 0*s = 4*d - 364, 5*d = -15. Let u = s - 103. Is u a prime number?
False
Let w = -49 + 48. Let d(m) = 1900*m**2 - 3*m - 3. Let g be d(w). Suppose -5*r - g = -2*t, 0*r = -r + 2. Is t a composite number?
True
Let i(b) = -2*b**2. Let m(y) = -175*y**2 + 8*y - 7. Let n(l) = 5*i(l) - m(l). Is n(4) composite?
True
Suppose 4*i = -5*v + 519723, -170*i + 165*i + 519715 = 5*v. Is v a prime number?
True
Suppose -190 - 8 = -2*o + 5*i, 304 = 3*o - 4*i. Let a = 76 - o. Is 8/a - 7744/(-7) - 3 composite?
False
Suppose 2*l + 11 = 3*d, -2*d + 12 + 10 = -5*l. Is (-82 - -735)/(d*2/4) composite?
True
Let j(k) = 78 - 182 + 19*k + 6*k + 56*k**2. Is j(11) a prime number?
True
Let h = -43 + 55. Is ((-592)/h)/((-8)/6) prime?
True
Suppose 0 = 3*r - 12*u + 7*u - 1394852, -3*r - u + 1394810 = 0. Is r composite?
False
Let i(b) = 4523*b**2 - 45*b + 375. Is i(8) composite?
True
Suppose 0 = 3*v + u - 7, 39*v + u = 40*v - 9. Suppose 0 = 4*q - 4*i + 5*i - 41889, v*q = 2*i + 41874. Is q a prime number?
False
Let m = 79 - 64. Suppose 12*p - m*p = -5919. Is p composite?
False
Let u be (60/(-6))/(2 + 12/(-3)). Let j be (-1 + u)/(7 + -6). Suppose j*i + q - 6234 = 0, 2*q - 583 - 2531 = -2*i. Is i prime?
True
Let v(t) = t**2 - 4*t - 3. Let y be v(6). Let z be 3/y - (-304)/(-12). Is (-2510)/z*5*3/6 composite?
False
Suppose -20*y = -35*y - 191040. Let m = y - -18359. Is m a composite number?
False
Let g be ((-40)/5 - -6)/(-1). Suppose g*r - 2260 = -486. Is r a composite number?
False
Let u = 138 - 139. Is u + (-156944)/(-72) + (-4)/(-18) a prime number?
True
Suppose -5*l + 553 = 3*n - 504, -1743 = -5*n + l. Suppose 8*q = 3*q + 2*i + 1561, 3*q - 4*i - 931 = 0. Let u = q + n. Is u a composite number?
True
Suppose 0 = 5*o + 5*y - 486185, -5*o - 30*y + 29*y = -486177. Is o composite?
True
Let g be (-425289)/(-187) + (-6)/22. Let j = 11120 - g. Is j a prime number?
False
Let q(x) = x**3 - 9*x**2 - 9*x - 5. Let z be q(10). Let o(j) = -3*j + 3*j**2 + 6*j**2 + 2 + 5. Is o(z) 