 44. Let w(q) be the first derivative of -q**4 + 5*q**3/3 + 6*q**2 + 10*q - 322. Is w(t) a composite number?
True
Let d be (-13)/13 - (-2)/2. Is (d + 9442)*(3 + 25/(-10)) a composite number?
False
Suppose 4*c + 2883 - 8845 = -v, -4*c - 11984 = -2*v. Let j = -2339 + v. Is j a prime number?
True
Suppose 0 = -21*j - 251920 + 808861. Is j a prime number?
False
Let h = -2415 + 4711. Let r = 5949 - h. Is r prime?
False
Let q(v) = -7*v**2 - 15*v + 28. Let w be q(-12). Let t = w - -378. Is (0 - 1)/(2/t) composite?
False
Is 3 - ((-12)/(-8) + 32635/(-2)) a prime number?
True
Let k = 43795 - 5498. Is k prime?
False
Suppose 9*n - 11*n = 5*q - 35014, q = -n + 7001. Suppose -2*u = y - 1751, -4*y + 33*u + q = 30*u. Is y prime?
False
Suppose 893 - 10714 - 4105 = -6*z. Is z prime?
False
Suppose 526 = -11*o - 200. Is (o/15 - -4) + (-3374)/(-10) a composite number?
False
Is 106071/(-5)*(-190)/114 composite?
True
Let z(x) = 5*x**2 + 3085. Suppose -26*m - 24 + 24 = 0. Is z(m) prime?
False
Let z(p) = 1698*p - 1489. Is z(7) a composite number?
True
Let v(p) = -694027*p - 5197. Is v(-2) a prime number?
False
Let v = 34 + -3. Let l be v/155 - 1/5*51. Is ((-6)/5)/(l/2525) composite?
True
Let j = 0 - -2. Suppose 9 = h - 2*o, -o = -27 + 30. Suppose h*s - j*s = 467. Is s composite?
False
Let p(c) = -100*c - 5470. Let k be p(-66). Let m = -684 + 2485. Let r = m - k. Is r a prime number?
False
Let g be 3/(12/4) + 158470/10. Is g/2 - 85/((-102)/(-6)) a composite number?
False
Suppose 423*g = 422*g + 6564. Let j be (4/(-6))/((-2)/66). Is (-4)/((-176)/g) - 4/j a prime number?
True
Let y(w) = -2*w**3 - 12*w**2 + 12*w - 3. Let k be y(-7). Is (2/8)/(k/59884) composite?
False
Let q(x) = 3*x + 17. Suppose t = 3*j - 0*j + 7, -4*t - 3*j = 32. Let a be q(t). Suppose 4*w - 3*u - 2351 = -0*u, a*w + 2*u - 1172 = 0. Is w composite?
False
Let m = -139146 + 201431. Is m prime?
False
Suppose 75*n = 44*n + 38*n - 3079153. Is n a prime number?
False
Let z = -488 + 507. Suppose 6 = -17*q + z*q, -41904 = -4*f - 4*q. Is f prime?
False
Is (-6)/(0 - (-24)/(-44636)) a composite number?
False
Suppose 9*g - 24 = g. Suppose 4 = -3*b - 5, -g*t + 4*b + 11241 = 0. Is t prime?
False
Is (1175806/(-1))/(-581 - -579) composite?
True
Let o(m) = 9232*m**2 - 5*m + 7. Let t be o(2). Suppose 9*f - t = 7778. Is f prime?
True
Let r = 541 - 555. Is (-887)/((-102)/(-26) + 10 + r) a composite number?
True
Suppose 4*w - 6 = 2. Suppose 9*s - w*s = 49. Let n(q) = q**3 - 4*q**2 - 2*q - 6. Is n(s) prime?
True
Suppose -56*l - 150 = -766. Suppose l*x - 16*x + 1907 = q, 0 = -4*q - 2*x + 7628. Is q a composite number?
False
Let d(n) = -15*n + 108. Let z be d(7). Suppose z*k + 3*p - 81564 = 0, 5*k - 135964 = -0*k + 3*p. Is k prime?
True
Let z(p) be the third derivative of -p**4/8 + 41*p**3/6 - 8*p**2. Let j be z(13). Is (j + -1)*2*3314/4 composite?
False
Let t(r) be the first derivative of -2*r**3/3 - 23*r**2 + 35*r + 47. Let o(h) = 2*h**2 + 46*h - 35. Let n(a) = -2*o(a) - 3*t(a). Is n(24) prime?
True
Let p = 8 + -1. Let n(u) = -9*u**2 - 7*u - 1. Let t(d) = d**2 + d - 1. Let h(g) = -n(g) - 2*t(g). Is h(p) a prime number?
False
Let d = -2577 + 4231. Let t = -4818 + 7562. Suppose -2*l + d + t = 0. Is l a composite number?
True
Suppose -192 - 2296 = -8*w. Suppose -3*h = -124 - w. Is h a prime number?
False
Suppose -43*g = -46*g + 24717. Suppose -o + g = -1878. Is o a composite number?
True
Suppose 0 = 90*i - 0*i - 2388510. Is i a composite number?
False
Suppose 13*i = 2*v + 8*i + 81, -4*v = i + 151. Is (-3 - -5)*(-231857)/v a composite number?
False
Let m(h) = 62*h - 59*h - 6 + 2*h**2 + 13. Let t(a) = 3*a**2 + 2*a + 6. Let j(u) = -6*m(u) + 5*t(u). Is j(-11) a composite number?
False
Let c = -71858 + 144165. Is c a composite number?
False
Let a be (-8)/(16/(-15))*6900/9. Let l = a - 2103. Is l prime?
False
Let l = -61 + 2672. Is l composite?
True
Let q be (16/(-24))/((-1)/38301). Let u be q/14 - (-6)/42. Suppose -u - 68 = -4*r. Is r a composite number?
True
Let v be 6/(-21) + (-17510)/14. Let b(x) = -x**3 + 27*x**2 - 36*x - 156. Let w be b(20). Let u = w + v. Is u prime?
True
Let p = -68755 + 133416. Is p composite?
False
Let d(k) be the first derivative of 11*k**2 - 49*k - 9. Let s be d(9). Let w = s - 72. Is w a prime number?
False
Let j = 1697 - 949. Suppose -5*z = -h - j, 2*z - 310 = 12*h - 8*h. Is z a composite number?
False
Suppose 3*i - 5718 = -4*j, -5*i + i = j - 7611. Let w = i + 859. Is w prime?
False
Is 1*(-4)/(-30) + 3872289229/10095 a prime number?
False
Let o(b) = 6*b**2 - b - 8. Let g be o(4). Suppose -12378 = g*w - 90*w. Is w a composite number?
False
Let l(f) = 3*f + 317. Suppose 0 = -8*x + 10*x - 80. Let m = -40 + x. Is l(m) a prime number?
True
Suppose 0 = -52*n - 9*n + 43027 + 5222554. Is n a composite number?
True
Let q(b) = -2*b - 26. Let a be q(-18). Suppose 2088 - 10548 = -a*c. Suppose -2*n - c = -8*n. Is n a prime number?
False
Let c(x) = -4*x + 641. Let k(r) = r**2 - 10*r - 11. Let j be k(11). Is c(j) a prime number?
True
Let c(n) = -13*n**3 - 42*n**2 - 126*n + 447. Is c(-28) a prime number?
True
Let f = -158007 - -374884. Is f prime?
True
Suppose 1760*l + 437288 = 1768*l. Is l a prime number?
False
Suppose 4*a = 98*b - 96*b + 349786, 3*a - 262337 = 2*b. Is a prime?
False
Suppose -l = -71 + 62. Suppose 34 = -6*o + l*o - 2*i, o = -2*i + 6. Suppose 0 = 5*q + o, 4*q = -3*n + 5*q + 1421. Is n a composite number?
True
Let q be -2 + 4871 + (-16)/2. Suppose 37*w - 38*w = -q. Is w a composite number?
False
Is 2*28513/10*5 - 2 composite?
True
Suppose 0 = -5*v - 4*q - 30674 + 434495, 3*v - q = 242279. Is v a composite number?
False
Let b = 8 + -6. Suppose 2*i = b*r - 3630, 1807 = -0*r + r + i. Is r a composite number?
False
Suppose 9*o + 4*y + 440574 = 11*o, 5*o - 1101507 = -2*y. Is o prime?
False
Let s = 5187 + -3607. Suppose -110*u = -100*u - s. Is u prime?
False
Suppose 2*m + 5*d = -179, 11*m + 161 = 9*m + d. Is (123/m)/(-1 - (-7977)/7978) prime?
False
Let o(s) = -s**2. Let t(g) = 1248*g**2 - g - 8. Let j(q) = -4*o(q) + t(q). Is j(3) a prime number?
True
Let f(j) = 156*j**3 + 5*j**2 - 57*j + 27. Is f(5) a prime number?
False
Is ((-1050)/20)/(-5)*4570430/15 a prime number?
False
Let s(u) = u + 1. Let l be s(1). Suppose -p + 2676 = -5*z, -2*z - 10688 = -4*p + l*z. Is p composite?
False
Suppose -157 - 43 = 40*n. Is (n + 114/8)/((-6)/(-6312)) a composite number?
True
Suppose 0 = u - 43 - 32. Suppose 5*b = -2*m - u, 5*m - 2*m + 36 = -3*b. Let l(w) = -w**3 - 18*w**2 - 25*w - 9. Is l(b) a prime number?
True
Suppose -55 = -b - 0*b. Let j = 34 - b. Is (70/j)/(6/(-531)) a prime number?
False
Let q be (-171651)/(-145) + (-1)/(-5)*-4. Suppose 1188*r - q*r = 6805. Is r a composite number?
False
Let p = 91 + -63. Let d be (-15)/(-5)*p/(-3). Is (-7539)/d + (-2)/8 prime?
True
Let l be 27/(-36) + (-21510)/(-8). Suppose -u - 2*h = -l, -u + 2680 = -0*u + 4*h. Let k = u - 849. Is k composite?
False
Suppose -122*p + 845992 = -58*p - 141336. Is p prime?
True
Let d = 26763 + -19057. Is d/6 - 4/(-6) prime?
False
Let r(a) = -269*a**3 + a**2 + 20*a + 129. Is r(-5) composite?
False
Let b be (-1)/(-1)*(-30 + 3659). Let p = b + -2478. Is p prime?
True
Is 198145 + (-11)/(110/(-100)) prime?
False
Let f = -917 + 969. Is (378387/(-27))/(4 + f/(-12)) composite?
False
Suppose 4*q + 4*c = -30444 + 786392, -2*q + 377978 = 3*c. Is q a composite number?
False
Let r be (-1 + 2)/(-2 + (-25)/(-10)). Suppose -3*b = -r*p + 2764 + 471, -b + 6435 = 4*p. Let h = p + -823. Is h composite?
False
Let v be 10/(-30)*(-3 + 2)*6. Is (8336/(-24))/(v/(-3)) composite?
False
Suppose -2*v = 11065 - 149447. Is v a prime number?
True
Suppose -278554 + 1071314 = 5*p - a, -20*a - 100 = 0. Is p a composite number?
False
Is 0 - -2 - 13/((-39)/11691) a prime number?
False
Suppose -3*k - d - 3 = -2*k, -2*d = -5*k + 20. Is k/3*(-23820)/(-40) a composite number?
False
Let u = -31 + 23. Let g be (u - -1)*-1 - 4. Suppose 4*s + s + 5*p = 800, -776 = -5*s + g*p. Is s a prime number?
True
Suppose -10269 = -19*o + 14146. Suppose 0 = -5*v - o + 17640. Is v composite?
False
Let q(p) = -p**3 - 28*p**2 - 4. Let v be q(-28). Is (-1814)/(-3*v/(-6)) a prime number?
True
Let b(m) = -11242*m + 1411. Is b(-45) prime?
True
Let a = 96456 - -494561. Is a prime?
False
Let h = -54 - -56. Suppose 0