e m + 5*h + 116 = -3*m, -3*m - 92 = 5*h. Calculate the least common multiple of -6*1/(2 + -3) and (-172)/m + -1 + 5/6.
42
Find the common denominator of (-722)/540 + -10 + 1 + 377/39 and -35/864.
4320
Suppose 3*o + 57 = 3*y, 4*o + 4*y + 70 = 2*y. Find the common denominator of 27/8 and o/12 + 3/1242*237.
552
Suppose 3*w - 108 = -5*g + 115, -2*w = -2*g - 138. Let a = w - 125. Find the common denominator of 25/21 and -1 + 291/a*-3 - -1.
42
Suppose g + 0*g + 1 = -5*v, 0 = -4*g + 5*v + 21. Suppose -g*b = -5 - 19. Calculate the common denominator of b and 10 - 4*465/160.
8
Let z = -212979259643/10438890534 - -2381406/127487. Let j = z + 3/4549. What is the common denominator of 11/2 and j?
18
Suppose -5*m + 9*m = 24. Let r = 27 + 12. What is the least common multiple of m and (30/(-8))/(r/(-104))?
30
Let g(l) = 4*l - 2 + 3 + 4*l + 3. Let k be g(5). Suppose -3*i = -k - 1. Calculate the lowest common multiple of i and 1.
15
Suppose -y + 64 = f + 2*y, -4*f = -2*y - 214. What is the lowest common multiple of 297 and f?
1485
Suppose -6*q + 9*q = 24. Let g(w) = -2*w**2 + 12*w. Let b be g(q). Calculate the least common multiple of 1 - b - (-2 - -2)/5 and 6.
66
Let r(m) = 3*m**3 - 223*m**2 + 87*m - 258. Calculate the smallest common multiple of 176 and r(74).
704
Suppose -30 = 2*t - 4*z, 2*t - 3*z = -2*t - 55. Suppose -2*d + 1 = 5, 3*k - d = -70. Let q = t - k. Calculate the smallest common multiple of q and 2.
22
Suppose 15*f - 76 - 59 = 0. Let r(p) = p**2 - 6*p - 13. Calculate the smallest common multiple of r(f) and 12.
84
Let b(s) = -s**2 - 197*s + 402. Calculate the lowest common multiple of b(2) and 8344.
8344
Let b = -95377913/587027 - -1/251583. Let j = -1254/7 - b. Calculate the common denominator of j and (7/(-14))/((-4)/(-146)).
12
Let k(o) = o**3 + 14*o**2 + 47*o - 6. Suppose -275*p + 14 = -277*p. What is the lowest common multiple of 14 and k(p)?
56
Let w = -5672/27 + 6287/30. Find the common denominator of w and -29/900.
2700
What is the common denominator of (-2 - 63/(-24))*(-1512)/(-360) and 35/1404?
2808
Let u(k) = -95*k - 21. Let o be u(-10). Let h = o - 8371/9. Find the common denominator of 9/5 and h.
45
Let h(z) = -399*z + 4790. What is the least common multiple of 6 and h(12)?
6
Let o(j) = 956*j - 16. Let n be o(11). Suppose -6*d = -2*d - n. Calculate the common denominator of d/1078 + 3/7 and 49/6.
66
Let n(z) = -1 - 6 - 6*z**2 + 9*z**2. Let m(h) = 5*h + 77. Let l be m(-16). What is the lowest common multiple of n(l) and 32?
160
Suppose -2*k - 315 = 2*z + 205, -1016 = 4*z - 2*k. Find the common denominator of 13/30 and ((-206)/(-10))/(z/(-40) + 2).
210
Suppose 2*s = -4*g + 7 + 9, 4*s + 2*g = 38. Let z(b) = -2 - 5*b - b**3 + 2*b - 87*b**2 + 84*b**2. Calculate the lowest common multiple of z(-3) and s.
70
Let p = 17801/234 + -903/13. Let g = -2741/952 - -141/34. Calculate the common denominator of g and p.
504
Let g = 39 + -37. Suppose g*f - 1309 = -5*z - 0*f, z = 5*f + 251. Let y = z - 793/3. Find the common denominator of y and 39.
3
Let q be -292*6/(-26) + 5. Let w = 12943/156 - q. Find the common denominator of w and (1/25)/((-4)/(-190)).
60
Let z = 8425/588 + -208/49. Calculate the common denominator of 163/180 and z.
180
Calculate the lowest common multiple of 13 and 7 - (-7 + -2) - (6 + -1).
143
Let t be (-1)/(-54)*(-47601)/(-171). Let c = -40/171 - t. Calculate the common denominator of (-171)/(-150)*(-15)/6 and c.
180
Suppose -2*o + 4*a + 11028 = 0, -2*o - 2*o = a - 22083. What is the common denominator of 145/102 and o/(-14535) + (-6)/(-57)?
102
Suppose -16*f + 13*f + 3*s + 6 = 0, -5*f - 4*s = 17. Find the common denominator of 52/9 and f/(-7 - (-294)/48).
63
Suppose -82*d - 62*d + 2016 = -123*d. What is the lowest common multiple of 146 and d?
7008
Let k = -1042631/30780 + 3179/95. What is the common denominator of k and 131/594?
3564
Let v be (-20126)/(-28) + 140/(-28). Let w = v + -713. Calculate the common denominator of -71/12 and w.
84
Let d = -9853/870 + 370/29. Let z be (-1 + 3)/(1/173). What is the common denominator of d and (-10 - -12) + z/(-48)?
120
Find the common denominator of 61/1770 and (-14)/(-21) + 2345/(-210).
1770
Suppose 2*t + 3*q = 6, 6*t + 2*q - 15 = t. Suppose 0 = 5*c + 2*h + 3 - 81, -2*h = t*c - 46. Calculate the smallest common multiple of 12 and c.
48
Suppose 3*c + 5*r - 107 = 0, -4*c + 193 = c + r. Suppose -10*s = -c - 111. Calculate the least common multiple of (-3)/(-3*5/s) and 16.
48
Let x be (0 - (3 - -9))*-1. Suppose h = 5*h - x. Suppose 0 = c + 3, -3 = -4*w - 2*c + 7. Calculate the smallest common multiple of h and w.
12
Find the common denominator of 3808/(-168)*(-6)/15076 and -41/4.
15076
Let j(i) = -i**3 - 7*i**2 - 3*i - 18. Let m be j(-7). What is the common denominator of -23/20 and 1122/(-388) + 14/(14/m)?
1940
Let o = -4949162 - -232601729/47. Let m = o - -373819/658. Let f = m + -373. Calculate the common denominator of f and -5/56.
56
Let o be 3 + -8 + 3 + 1. What is the lowest common multiple of 2 and (o - (3 + -2))*11/(-2)?
22
Let k(t) = 191*t**3 + t**2 + 6*t - 6. Calculate the least common multiple of 76 and k(1).
3648
Let y = -4640/7 - -27007/42. Find the common denominator of 30/11 and y.
66
Let b(y) = 659*y**2 + 9*y + 6. Let x be b(-7). Let c = x + -773723/24. Find the common denominator of (-2 + (-132)/(-20))*(-5)/22 and c.
264
Suppose 3*m - 316 = -5*k + 829, 2*m - 763 = -3*k. What is the lowest common multiple of m and 40?
760
Let f = 14911103681/44 + -338872558. Let g = -16163 + f. Calculate the common denominator of 119/6 and g.
132
What is the common denominator of (40 - (-498)/(-12))*(-1 - 146/(-27)) and (-6)/(-4)*(-7)/10?
180
Let n = 27/4408 - -324559/1705896. Calculate the common denominator of 17/81 and n.
3483
Suppose -114*s = -117*s - 3*m + 567, -5*m + 363 = 2*s. What is the lowest common multiple of 14 and s?
1358
Suppose 282 = j - b, -5*j - 2771*b + 1410 = -2766*b. Calculate the lowest common multiple of j and 3.
282
Let k = 356 - 362. Calculate the common denominator of 5/k*(1 + (-64)/(-24)) and 4/54*(-130)/4.
54
Let s be (3/(-4))/((-66)/440). Suppose -3*v - 104 = -4*t - s*v, -68 = -3*t - 4*v. What is the lowest common multiple of t and 11?
308
Let h = -1303/40 + 141/5. Let l = -272 + 68. What is the common denominator of h and 4 + (l/(-56))/3?
56
Suppose -3*z = 298 - 856. Suppose -11*f + 17*f = z. Suppose 5*m + 2*i - 3*i = f, -4*i = 4*m - 44. Calculate the lowest common multiple of m and 4.
28
Let x(s) = -s**2 - 15*s - 15. Let b be x(-14). Let c be 38/(-57)*18/(-4). Find the common denominator of b/((-3)/(-1) + (-5)/c) and -35/2.
4
Let u = -133 - -295. Let n = u + -102. Calculate the smallest common multiple of 20 and n.
60
Suppose 3*i - 2*x + 5*x = 0, x = -2. Let d = 65 - 45. Suppose i*u = d - 8. What is the lowest common multiple of 30 and u?
30
Let r be (4 + (-21)/4)/(3/(-12)). Suppose -3*h - 183 = -4*y, r*y + h - 109 = 134. Calculate the common denominator of -22/3 and 10/(-56) - y/(-112).
12
Let k = -9/11500 - -119461/189750. Let i = -28888 + 693203/24. Find the common denominator of i and k.
264
Let w = -185581837/584 + 317777. Find the common denominator of 21/16 and w.
1168
Let n = -101803/12 + 8477. Find the common denominator of -37/33 and n.
132
Let n(k) = 48*k**2 - 48*k - 48. Let q(d) = 7*d + 2. Calculate the smallest common multiple of q(6) and n(-1).
528
Let k(d) = 291*d - 4646. Calculate the lowest common multiple of k(16) and 8919.
89190
Let q(m) be the first derivative of m**3/3 + m**2/2 - 2*m - 1. Calculate the lowest common multiple of ((-7)/(-3))/(27/162*2/4) and q(-4).
140
Suppose 0 = -a + 2 + 43. Suppose -3*h = 2*h - a. Calculate the lowest common multiple of h and 2*(4/8 - -3).
63
Let j(v) = 3*v + 3. Let w(x) = -1. Let h(z) = j(z) + 4*w(z). Let m be h(0). Calculate the common denominator of -14/11 and 30/21*(-6 - m).
77
Suppose 4*n + 468 = -4*u, -7*u - 114 = n - 3*u. Let a = -111 - n. Calculate the lowest common multiple of a and 53.
371
Let k = -144061/17514 + 14/1251. Find the common denominator of k and ((-14)/(-34))/(660/(-1650)).
238
Let s = -269/4 + 66. Find the common denominator of s and (-3)/(-4)*(-45)/(-130)*12.
52
Suppose -3*g + 1460 = -5*b - 1648, -3*g = 12. Let t = -1837/3 - b. What is the common denominator of -21/17 and