484. Let z(m) = 8*a(m) - 5*d(m). What is the smallest common multiple of 18 and z(8)?
252
What is the least common multiple of (-10)/(-4)*(-28 + 70) and 85?
1785
Let s = -20732/5 - -4121. Let t = s + 499/10. What is the common denominator of -61/222 and t?
222
Let q be 64/(-160) - (-28)/(-5). Let y = 3926 - 141239/36. Calculate the common denominator of y and (27/q)/(((-429)/(-18))/13).
396
Suppose 9*c - 13*c - 216 = 0. Let g be (-798)/c*(-12)/(-34). Let t = g - 15/17. What is the common denominator of t and -119/48?
48
Calculate the common denominator of -25/189 and (-1608)/84*(-18)/7128.
4158
Let d = -83 - -89. Suppose -66 = -d*t - 12. Calculate the lowest common multiple of (-1)/(-3)*(-42)/(-2) and t.
63
Let o = -112715/442 + 4362/17. Find the common denominator of o and -49/20.
260
Let w(n) = -883*n - 1764. Calculate the lowest common multiple of 6674 and w(-2).
6674
Let q be (-17)/(-4) - 5*(-13)/(-52). Suppose -4*u + 4*p = -1412, -5*u + 1730 = -p + q*p. Calculate the lowest common multiple of 3 and u.
348
Suppose -2*w + 8*w - 2444 = 3712. Calculate the least common multiple of 351 and w.
13338
Suppose 11*u - 87360 = -243*u - 306*u. Calculate the least common multiple of 3558 and u.
92508
Let r = 26/179 + -22042/53163. What is the common denominator of r and 13/27?
297
Calculate the common denominator of 53/387 and (-1)/(-4) - 20433/67424.
12384
Let t = 135527121/694 + -195284. Find the common denominator of -79/10 and t.
3470
Let p be 7988/28 - -1*(-12)/42. Suppose -301*y - p = -306*y. Calculate the least common multiple of 209 and y.
627
Suppose 100 = 234*j - 230*j. Suppose -17*t = -188 - 67. Calculate the least common multiple of t and j.
75
Let w be ((-12)/(-21))/((-2)/(-28)). Find the common denominator of (-8 + 3 - -10) + 33/w and -52/161.
1288
Let t = -54175603812701/10566 + 5127352240. Let g = -84/587 + t. Calculate the common denominator of -77/162 and g.
162
Let g = -2 - -2. Suppose 0 = -g*w + w - 48. Suppose 3*l + f = 10, 265*f - 22 = -l + 267*f. Calculate the least common multiple of w and l.
48
Suppose 4*b + 0*b = 2*y + 4, -4*y + 13 = -b. Let j be (-2 + b)/1*5. Suppose q - 1 = j. What is the least common multiple of q and 9?
18
Let r(a) = a**3 - 9*a**2 - 72*a - 1. Let h be r(-5). Let v(g) = 6*g**2 - g - 1. What is the smallest common multiple of v(2) and (-174)/(-6) + (h - 8)?
210
Suppose -5*b + 100 = -70. Suppose -29*i = -b*i + 5*t + 835, 2*t - 476 = -3*i. What is the least common multiple of i and 3?
162
Let x(b) = 11*b**3 - b**2 + 5*b - 6. Let k be x(4). Let y be (-3658)/(7 - 6) + 1. Find the common denominator of -99/16 and y/k + (-150)/39 + 4.
144
Let x = -28 - -42. Suppose -910 = 21*l - 34*l. What is the smallest common multiple of x and l?
70
Calculate the common denominator of (-24)/(-396)*(59/28*2 - 4) and (5/(-3))/(21/(-6)).
231
Suppose -4*d + 4*v = 192 + 224, 5*v + 434 = -4*d. What is the common denominator of 109/48 and 1/(-8)*4*d/36?
144
Suppose 3*z = 3*v + 16 - 10, -5*z = 0. What is the common denominator of 179/30 and (-2050)/150*(0 - v/18)?
270
Let x(l) = 23*l + 3. Let t(u) = -46*u - 5. Let k(b) = -6*t(b) - 11*x(b). Calculate the smallest common multiple of 15 and k(1).
60
Let p be (-7)/((-168)/30546) - -5. Suppose -k - 3*w + 1263 = 0, -2*k + 3*w = -2*w - 2548. Let h = k - p. What is the common denominator of h and 31/6?
12
Let z be 112/(-32)*12/(-7). Let o(n) = -n**3 + 3*n**2 - 3*n - 6. Let v be o(z). Let h = -99 - v. What is the least common multiple of 8 and h?
264
Suppose -o = -1 - 14. Let q(t) = -t**3 - 24*t**2 - 46*t - 49. Let u be q(-22). What is the common denominator of u + -2*o/80 and -65/28?
56
Suppose 0 = -n + 55 + 121. Suppose 5*b + 0*t - 4*t + n = 0, -4*t - 16 = b. Find the common denominator of b and 47/2.
2
Let t = -38571/20 - -1928. Let s(y) = 41*y**2 + 13*y - 102. Let b be s(7). Let h = -55947/28 + b. What is the common denominator of t and h?
140
Let r = -340870 - -190887101/560. Calculate the common denominator of -69/3500 and r.
14000
Let d = -2149 + 2152. Calculate the smallest common multiple of d and 1014.
1014
Let q be -1 - (68/24 + 4/24). What is the lowest common multiple of 48 and q/30 + (-2009)/(-105) + -3?
48
Let c = 1639/41219 - -17982328363/1978512. Let q = c + -9088. Calculate the common denominator of q and 89/12.
48
Calculate the common denominator of (-12)/(-5082)*2912/(-78) and 5/176.
5808
Let l = 4581 - 3296. Calculate the lowest common multiple of l and 35.
8995
Suppose 1111 = -j - 7*j + 7959. Calculate the lowest common multiple of j and 107.
856
Calculate the common denominator of 41/790 and 2/(-8)*6562/2550 + (-24)/(-32).
11850
Let l = -3755147/2128 + 12354/7. Find the common denominator of 59/80 and l.
1520
Calculate the smallest common multiple of (280/(-42))/5*-3*5 and 356.
1780
Suppose 26*a = 14*a - 55*a + 530439. What is the least common multiple of a and 1?
7917
Let n(h) = h**3 - 3*h**2 + 6*h - 17. Let o be n(3). Calculate the least common multiple of o*(-4 - 1*72/(-4)) and 28.
28
Let c = -9839/2 + 196871/40. Calculate the common denominator of (-1 - 154/96) + -22 + 26 and c.
240
Let l = 11411/1540 - 272/55. Let m be -2 + -282 + 2 + 1. Find the common denominator of l and m/60 - (-39)/65.
84
Let g = -175/537319 + 2879974496843/2149276. Let t = g + -6648356/5. Let w = t - 10308. Find the common denominator of w and 55/2.
20
Let z = -96364/3 + 8481049/264. Let m = -27/22 + z. Calculate the common denominator of (244/48 + -5)/((-5)/(-101)) and m.
120
Suppose 115*l = 119*l - 32. Let a(j) = 7*j - 40. What is the least common multiple of 48 and a(l)?
48
Let v = 14 + -28. Suppose -5*i = -2*u - 94, -3*i + 4*u + 44 + 4 = 0. Calculate the smallest common multiple of i and 4/v + 368/14.
260
Suppose 432 = 3*z - 4*v, 4*z + 2*v + 195 - 749 = 0. What is the common denominator of 810/z + 1/(-1) and -73/50?
350
Suppose -2*y + 2 = 4*o, -4*y - 2*o - 4 + 14 = 0. Suppose -42*g + 663 = -345. Calculate the smallest common multiple of g and y.
24
Let s = 9/25 - 1/350. Let l = 123 - 213. Let x = l - -369/4. Calculate the common denominator of s and x.
28
Let i be (-138)/(-30) + (-3)/5. Suppose -z + 2*t = -84, i*z - 2*t - 312 = -0*t. Let r = -67 + z. What is the smallest common multiple of r and 31?
279
Let d be (2/(-219))/(52/(-16237)). Let f be -1 + -4 + 3297/657. Let p = f - d. Calculate the common denominator of -29/4 and p.
12
Suppose 4*m - 10*m + 120 = 0. Calculate the common denominator of ((-138)/135)/(10/m) and 59/7.
315
Suppose -3*z + 8*z - 10 = 0. Suppose z*y = b + 34 - 42, 0 = 4*y + 16. Calculate the common denominator of (-22)/(-9) - (-4)/12 and b.
9
Let j(r) be the third derivative of r**5/60 - 3*r**4/4 - 2*r**3 - 22*r**2 + 1. What is the smallest common multiple of j(-10) and 18?
2412
Let s = -11539 - -14139. What is the smallest common multiple of 780 and s?
7800
Suppose -3*g + 33 - 27 = 0. Suppose -6*r + 11*r = -g*f + 8753, 4*f - 17494 = 2*r. Let a = f + -380597/87. What is the common denominator of -45 and a?
87
Suppose -10*o - 17*o - 12*o + 936 = 0. What is the lowest common multiple of 26 and o?
312
Suppose 0 = -z + 3*i + 1526, 2723 + 337 = 2*z - 2*i. Calculate the smallest common multiple of z and 34.
26044
Suppose 0 = -2*h - h - 66. Let c be 4/h - 155/55. Find the common denominator of -77/10 and c - (-3 - -13*8/(-20)).
10
Let f = 0 - -5. Suppose 2*n - n + f*l - 2 = 0, 2*n - l = 15. Calculate the smallest common multiple of n and 26 + -23 + 7 + -2.
56
Let w(n) = 7*n + 31. Let l = 208 + -211. Calculate the smallest common multiple of 44 and w(l).
220
Suppose 890 = 2*g - 5*t, -4*g - 5*t + 694 + 1146 = 0. Suppose 78 = o - 3*m, -6*o + 2*m + g = -o. Calculate the least common multiple of 4 and o.
372
Let w be ((-332)/12)/((-1)/18). Suppose -7*b + 5*b = w. What is the common denominator of 61/2 and 3 + b*(-2)/72?
12
Suppose -4*f - 125 = -2*z - f, z = -5*f + 95. Calculate the least common multiple of 21 and z.
210
Suppose 4*j - 11 = 33. Suppose 3*u = 19 + j. Calculate the smallest common multiple of (-6)/3*(5 + -6) and u.
10
Let f be (14/70)/((-1)/(-5)). Let b(z) = 9*z**2 - 3*z + 2. What is the lowest common multiple of 4 and b(f)?
8
Suppose 17 = 2*p + 1. Let u be -64 - (-5)/((-10)/p). What is the common denominator of u/306 - (322/36 + 1) and 95/2?
6
Let q = 2535412109