0 = 28*j - 36*j + 240. What is the smallest common multiple of 54 and j?
270
Find the common denominator of -21/143 and -2 + 4 + 540/(-208).
572
Let r = 2236 - 89453/40. Find the common denominator of r and -41/64.
320
Let x be (-1)/(((-12)/56)/(-3)). Calculate the common denominator of (0 + -1)*31/(-11) and (-83)/(-4) - (x - -17).
44
Suppose -2*p - 9567 = 3*d, d + 5*p - 320 + 3509 = 0. Let b = d - -16003/5. Find the common denominator of (-15)/(0 - 2/(-6)) and b.
5
Let i = -417 - -907/2. Let s = -2/139 - 2081/278. What is the common denominator of i and s?
2
Suppose 3*c - 656 = c. Find the common denominator of c/42 - 12/18 and 2322/(-567)*(-6)/(-4).
7
Suppose -15 = 4*g - 39. Find the common denominator of 2 + g/(-16)*2144/(-72) and -2 - ((-186)/8)/1.
12
Let a be ((-12)/10)/((-24)/(-80)). Let u be ((-4)/6)/(a/6). Calculate the common denominator of 19/(-8) + u/2 and -81/22.
88
Suppose 4*w = 0, -2*n - 26*w + 54 = -21*w. What is the smallest common multiple of 249 and n?
2241
Suppose -23 + 35 = n. Suppose -2*j - 2*i - 2 = -4, 2*i + n = 5*j. Calculate the least common multiple of j and 12.
12
Let y be 1 - -3 - (-8)/(24/(-225)). Let v = y + 72. Calculate the common denominator of ((-18)/16)/(1*3) and v.
8
Let c = -14577/4186 - 40/161. Calculate the common denominator of c and -17/24.
312
Let i = -1291417/24 - -53830. Let c = i - 137/8. What is the common denominator of 49/32 and c?
96
Let r(w) = 2*w + 4. Let x(n) = n + 1. Let h(c) = -c + 12. Let l(q) = h(q) + 2*x(q). What is the smallest common multiple of l(6) and r(3)?
20
Let x = 16 - 13. What is the common denominator of (-2)/x - (-1040)/96 and -111/20?
60
Suppose -5*i + 114 = w, 5*i - 4*w + 7*w - 122 = 0. What is the least common multiple of 132 and i?
132
Suppose 0 = -3*t + 2*m + 4998 + 6549, 5*t - 5*m = 19245. Let v = t - 69421/18. Find the common denominator of v and -47/8.
72
Let t = -22081/13470 + 8/1347. What is the common denominator of t and -41/10?
30
Let x(o) = 8*o - 2. Let j(t) = -8*t - 58. What is the least common multiple of x(2) and j(-10)?
154
Let a(x) = 5*x + 5*x + 0*x - 2*x**2 - 2*x + 4. Suppose 0 = -s + 4*r + 9 + 1, -3*s = -4*r - 14. Calculate the smallest common multiple of a(4) and s.
4
Let i be (-57607)/15120 + 3/9. Let a = 1/2160 + i. What is the common denominator of -50/21 and a?
21
Let a = 38 + -28. Suppose -35 = -a*d + 5*d. Suppose 15 = k + 5. Calculate the lowest common multiple of k and d.
70
Let g = -7506727/210 - -35746. Calculate the common denominator of -107/240 and g.
1680
Let i = -4698 - -333549/71. Let v = -4703/426 + i. Calculate the common denominator of v and 33/2.
6
Let s be (3 - 2)/(6/192). Suppose -m = -5*m + s. Calculate the least common multiple of m and 11.
88
Let t = -10496 + 419817/40. Calculate the common denominator of t and (-121)/6*2/(-8).
120
Let j = -13/380 - 21811/1140. Let k = 7395 - 221767/30. What is the common denominator of k and j?
30
Let m(q) = 2*q**2 + 1 + 3*q**3 - 7*q**3 + 3*q**3 + 3*q. Let p(i) = 149*i + 1199. What is the least common multiple of m(-2) and p(-8)?
77
Suppose 6*r - 90 = 3*r - 3*j, 85 = 4*r - 3*j. Let u = r + -13. Find the common denominator of -23/7 and 2 - 2 - (-225)/u.
28
Suppose 2 = 3*r - 2*r. Calculate the least common multiple of 11 - -4 - -4 - (-7 - -6) and r.
20
What is the least common multiple of 2/5 - (-12488)/280 and 90?
90
Let u = -74 - -72. Calculate the least common multiple of (-3 - u)/(((-3)/(-35))/(-3)) and 8.
280
Let m = 646 + -644. Calculate the least common multiple of 65 and m.
130
Suppose 7*m = -31 + 73. What is the least common multiple of 13 and m?
78
Calculate the lowest common multiple of (-8)/(-12) - 56/(-6) and 34.
170
Let h(l) = l**2 - 7*l - 23. Let n(m) = -m**3 - 3*m**2 + m - 3. Calculate the smallest common multiple of n(-4) and h(12).
333
Suppose 1125 = 27*a - 1035. What is the least common multiple of 5 and a?
80
Suppose -3*p = -y - 1141, -50*y - 382 = -p - 48*y. What is the lowest common multiple of p and 114?
1140
Let o = 2/2607 + -112117/20856. Calculate the common denominator of o and -7/166.
664
Let j(a) be the first derivative of -a**3/3 - 7*a**2/2 - 6*a - 2. Let b = 254 - 252. What is the least common multiple of b and j(-4)?
6
Let j be (2604/16)/(2/(-8)). Let g be 1/(-4 - j/162). Let w = 76 - g. What is the lowest common multiple of w and 6?
66
Suppose -b + 2*b = 12. Let i = 5975/84 - 418/7. Calculate the common denominator of i and (107/(-12))/((-18)/b).
36
Let f = 2 + 33. Calculate the lowest common multiple of 5 and f.
35
Suppose 82 + 194 = 23*f. Calculate the smallest common multiple of f and 222.
444
Let o = -20 - -13. Let t be -3*(o/3 - -2). Find the common denominator of t/(8/(-188) - 0) and -46/7.
14
Let t be (-7)/(28/5424) + -4. Calculate the common denominator of 37/9 and t/(-100) - (0 - -1).
45
Let q(a) = -a**3 + 6*a**2 + 16*a + 2. Let z be q(8). Suppose 5*j + u - 76 = -307, -3*j - z*u - 133 = 0. Find the common denominator of 109/54 and j.
54
Let c = 16326 + -9441. What is the common denominator of ((c/70)/(-9))/3 and 93/2?
14
Suppose -i - 83 = 3*n - 4*n, -3*n + 241 = -5*i. Calculate the least common multiple of n and 261.
261
Let l be 94*130/(-32) + 2. Let f = 379 + l. What is the common denominator of 5*4/(-12) + (-8757)/(-1512) and f?
8
Let x = 5955 + -345313/58. Calculate the common denominator of (5/6)/(2/(-9)) and x.
116
Calculate the common denominator of 39/7 and (((-464)/60)/2)/(28/(-9)).
70
Suppose 0 = 3*i - 0*i - 6. Suppose -2*w + 100 = i*j - 7*w, -5*j - 5*w + 215 = 0. Let y = -32 + j. What is the lowest common multiple of 8 and y?
104
Let a be (-11)/(22/68) + 0 + 4. Let t(o) = o**2 + 6*o + 2. What is the lowest common multiple of ((-2)/(-6))/((-5)/a) and t(-6)?
2
Let v(r) = 9*r - 151. What is the lowest common multiple of v(17) and 20?
20
Suppose -5*s = -5*f + 1815, f - 5*s = 65 + 294. Calculate the lowest common multiple of 16 and f.
1456
Suppose 8*l + 6574 = -23970. Let q = 15369/4 + l. What is the common denominator of q and -109/12?
12
Find the common denominator of 410/400 + (1 - (2 + 1)) and 53/24.
120
Let m = 1137/10 + 889/30. Let y = m + -4688/33. What is the common denominator of -71/4 and y?
44
Find the common denominator of 11/92 and ((-459)/126)/((-5)/(-10)).
644
Let d = 40 + 35. What is the least common multiple of 42 and d?
1050
Calculate the common denominator of ((-4)/(-40))/(46/8625) and 57/26.
52
Let b = 1390 - 3091. Let t = -18749/11 - b. What is the common denominator of -29/5 and t?
55
Suppose 0 = -8*y - 5*g + 2241, -g + 330 - 51 = y. What is the least common multiple of y and 54?
2538
Let k(v) = v**3 + 4*v**2 - 6*v - 3. Let m = 234 + -451. Calculate the smallest common multiple of k(-5) and (-1)/(-2) + 0 - m/62.
4
Find the common denominator of ((-182)/(-1 - 1))/(-12) - 1 and 91/328.
984
Let x = 98417 - 191907. Let r = 11218969/120 + x. Find the common denominator of -19/8 and r.
120
Suppose 0 = -2*v + 3 + 5. Suppose -c = -o - v, -c - o = o + 2. What is the smallest common multiple of c and 15?
30
Let o = 6445/6 - 1072. What is the common denominator of o and 67/2?
6
Suppose 15*q - 9 = 14*q. Suppose 2*x = z + q, 2*z - 3*z - 15 = -4*x. Let s(h) = -2*h**3 - 2*h**2 + 2. What is the least common multiple of x and s(-2)?
30
Let n be (78/(-36))/(4/234). Let t = n - -2019/16. What is the common denominator of t and 14*(-1)/40*-3?
80
Suppose q + 0*q = 2*u - 14, 3*u - 4*q - 26 = 0. Suppose -5*i = 10, -3*f - 4*i = -i - 18. Calculate the smallest common multiple of f and u.
24
Let b(m) be the second derivative of -m**5/20 + m**4/2 - 5*m**3/6 - m**2 + 12*m. Calculate the smallest common multiple of 12 and b(4).
60
Let m = -48/875 - -3059/750. Calculate the common denominator of m and 107/210.
210
Calculate the common denominator of 41/16 and (-2138)/(-372) - 10/(-4 - -6).
1488
Let l = -9/224 - -5587/2464. What is the common denominator of l and -69/112?
1232
Let j(a) = 249*a**2 - 1. Let p be j(1). Let r be (4/474)/(p/12). Let o = r + -90624/26939. Find the common denominator of o and -18/7.
77
Suppose -3*g = -2*g - 3*m + 14, 6 = -4*g + 2*m. Let t be 3/(g - 164/168). What is the common denominator of 45/4 and 2/4 + 707/t?
36
Let j(v) = 57*v**2 + 4*v - 13. Calculate the smallest common multiple of j(2) and 11.
2453
Find the common denomin