8/17 - a. Find the common denominator of l and -143/180.
1980
Let x = 2/259 + 127/17094. Let n = x - 103/264. Find the common denominator of (153/(-136))/(20/(-240)) and n.
8
Let m = 6572/15 + 135659/120. Let s = 1566 - m. Find the common denominator of s and ((-3)/(-18))/(10/3).
40
What is the lowest common multiple of 10 + 644/64 - 1/16 and (49 + 1)/(1 - 0)?
100
Let v(c) = -1 + 2*c**2 + 4*c - 21*c + 6 - 69. What is the lowest common multiple of 63 and v(-7)?
1071
Let d = -17308058/15 + 1153318. Let j = 553 + d. Find the common denominator of j and 53/18.
90
Let k(r) = -176*r + 140. What is the lowest common multiple of 192 and k(-5)?
16320
Let o = -485 - -722. Suppose -3*b = -5*n - o, 0*b - 2*b + 139 = 3*n. Let v = 83 - b. Calculate the smallest common multiple of 9 and v.
9
Let a = -34778/1237071 - -24/1973. Calculate the common denominator of a and -5/121.
6897
Let i be 440/(-33)*(-3)/4. Let g be 161/i + 7/(-70). Calculate the least common multiple of 2/g + ((-210)/(-16))/7 and 4.
4
Let x = -2861071/80 + 35764. Let k be 0 - -2 - (526 + -29). What is the common denominator of x and (-375)/k*(-3)/2?
880
Let i = 65 + -444. Calculate the common denominator of 3/4 and ((-6)/(-4))/(i/(-41) - 9).
20
Let q = 205 - 116. Calculate the lowest common multiple of (-15)/(-6)*2662/605 and q.
979
Let v be 2/(-4) + (-4321)/2. Let p be (-380)/152 - 26079/12. Let g = p - v. Find the common denominator of g and 99/4.
4
Let g(w) = -w**3 - 11*w**2 - 29*w - 3. Let i be g(-5). Find the common denominator of (-616)/(-32)*(-4)/i and -29/6.
24
Let b(j) = j**3 - j**2 - 10*j + 11. Let o = -230 + 234. What is the lowest common multiple of 2 and b(o)?
38
Let w be -1 - -1*(-864)/(-2024). Let p = -37/23 + w. Calculate the common denominator of -1/4 and p.
44
Let u = -22235 + 22370. Calculate the least common multiple of 60 and u.
540
Let k be 18*(33/(-2))/(-11)*1. Calculate the common denominator of 56/99 and (-3 + 4)/(k/67*-1).
297
Let i(b) = 51*b**2 - 903*b - 4. What is the least common multiple of i(18) and 133?
266
Suppose -l = 5*i - 29, -2*l + 88 = -0*l + 4*i. Suppose 2*v = h - v + 745, 3*h - 5*v + 2215 = 0. What is the lowest common multiple of l and 2/(-8)*1 - h/40?
54
Let y(x) = -352*x - 64. Let o be y(2). What is the common denominator of 99/8 and 0 - (-1672)/o - 1/(-3)?
32
Let t = 373 + -776. Let n = 2463998/9 + -274184. Let h = t - n. Calculate the common denominator of h and -7/43.
387
Find the common denominator of -113/80 and (-3149)/603 - -5 - 1/((-90)/587).
80
Let j(a) = -a**3 - 13*a**2 + 144*a + 87. Calculate the least common multiple of 2415 and j(-20).
2415
Suppose 4*u + 113 = 117. What is the least common multiple of 10 and (-2 - -4 - (u - 14)) + 3?
90
What is the common denominator of ((-58)/54)/((2486/(-33))/2) and 7/113?
1017
Let a(t) = -5*t - 4 + 10*t + t - 6 + 14*t. Let w = 8 + -5. Calculate the smallest common multiple of a(w) and 8.
200
Let t = 42037 + -3161. Let f = t + -933161/24. Let h = -14099/264 + 427/8. Find the common denominator of h and f.
264
Let r(i) = 5*i - 139. Let y be r(28). Find the common denominator of (4472/572)/(y - 3) and -61/282.
3102
Let p(n) = n**3 + 2*n**2 - 2*n - 2. Let k be 2/4 + 6/4. Let w = 869 + -864. What is the smallest common multiple of p(k) and w?
10
Let z = 2853 + -4150. Let x = -9818168/11 + 893859. Let m = x + z. What is the common denominator of 113/6 and m?
66
Suppose 209 = -11*w + 561. Find the common denominator of -99/98 and -4*24/w*59/378.
882
Let w = -144329/10 - -14489. Let t = w - 754/15. Find the common denominator of -1/546 and t.
546
Suppose 366*p + 198 = 375*p. What is the least common multiple of p and 70?
770
Let z be 1/4 - (-4 + (-237)/12). Suppose -z = -4*m + 64. Calculate the common denominator of 1/(36/m) + 0 and 131/12.
36
What is the least common multiple of 62 and (-27)/9 + 19 + 294?
310
Let h(a) = a**2 - 31*a + 66. Let x be h(31). Let m = -397/6 + x. Calculate the common denominator of m and -81/20.
60
Suppose 5*y - u - 2*u - 5 = 0, -3*y - u + 17 = 0. Suppose f + 9*q - 10 = y*q, 50 = 5*f + 5*q. What is the smallest common multiple of 38 and f?
190
Let w(u) = u**2 + 5*u - 10. Let t(o) be the first derivative of -o**4/4 + o**3/3 - o**2/2 + 16*o + 28. Calculate the least common multiple of t(0) and w(-7).
16
Suppose 0 = 85*q - 101*q - 1552. Let g = q - -353/3. What is the common denominator of g and 15/112?
336
Let h = 56/3 + -2461/132. What is the common denominator of h and 103/54?
1188
Let w = -275 - -279. Calculate the lowest common multiple of 54 and 41622/231 + w/(-22).
540
Let i = -23 - 46. Let z(m) = m**3 - 8*m**2 - 4*m + 6. Let f be z(6). Let s = i - f. What is the lowest common multiple of 9 and s?
63
Let q = -5769 - -5846. Calculate the smallest common multiple of 63 and q.
693
Let w = 4490 + -2522. Calculate the least common multiple of 132 and w.
21648
Find the common denominator of (-214)/(-64)*(-4)/(-14) and (-1490)/(-1050) - (6/(-9) + 1).
560
Let o(u) = u**2 - 47*u - 312. Calculate the least common multiple of o(-6) and 240.
240
Let s = 1643/3 + -72361/132. Calculate the common denominator of s and 73/272.
2992
Calculate the common denominator of (-14)/33*88/132 and 1 + (-2)/3 - 1008/7371.
1287
Calculate the smallest common multiple of 12/(-16)*-3*12 and (69/9 + -5)*18/4.
108
Let k = -39781/9 - -4414. Let b = 26011/10 + -2605. Let d = b + -3/10. What is the common denominator of d and k?
45
Let w(x) = 2*x - 64. Let u be w(22). Calculate the common denominator of -131/6 and u/80 - 131/48.
48
Suppose 12 = -4*s, -4*u = 2*s + s - 175. Suppose u*k - 39*k = 42. Let n(a) = -93*a - 6. Calculate the least common multiple of n(-4) and k.
366
Suppose -2*u - 2*h + 346 = 0, -5*u = -8*u + 3*h + 489. Find the common denominator of -1/36 and -2 + 0 + (405/u - 2).
504
Let x = 12 - 14. Let c be 335/65 + x/13. Suppose c*p = -s + 83, 4*p - 74 = 3*s - 0*s. What is the least common multiple of 10 and p?
170
Let w = 163 + -323. Let s be ((-172)/w - 1)*2041044/27. Let v = 5673 - s. What is the common denominator of v and -71/6?
30
What is the smallest common multiple of ((-110)/440)/(3/(-528) - 0) and 176?
176
Let i = -53268 - -2769833/52. Calculate the common denominator of i and -14/377.
1508
Let t = 3844 - 3656. Calculate the smallest common multiple of 8 and t.
376
Let v(p) = -55*p - 14. Let h be v(-2). What is the lowest common multiple of (3/4)/(12/h) and 25?
150
Suppose 0 = 1096*y - 1138*y + 504. Let l be (-7)/3 + 2/(-3). Let h(v) = v**3 + 5*v**2 + 5*v + 3. What is the least common multiple of h(l) and y?
12
Let d(x) = -x + 0*x + 5*x**2 - 10*x**2 - x**3 + 10. Calculate the lowest common multiple of 5 and d(-6).
260
Calculate the common denominator of 38/9 and (66/(-20))/(12636/650).
324
Let t be (-30)/(((-81)/(-6))/(-9)). Suppose 0 = 2*b - 7*b + t. What is the least common multiple of (-297)/44*(-8)/3 and b?
36
Let k be ((-24)/16)/((-9)/(-12)). Let o(r) = -4*r**3 - r - 1. Let q be o(-1). What is the common denominator of (q - 33/k)/(-2) and -53/2?
4
Suppose -61624 - 15338 = -202*g. What is the smallest common multiple of 138 and g?
17526
Let c = 76834 - 6914927/90. What is the common denominator of -61/660 and c?
1980
Find the common denominator of -46/275 and 2/(-6) - (-1)/30*(-940)/(-165).
2475
Find the common denominator of (-35)/70 - (-70)/32 and -131/396.
1584
Let r be ((-3)/(-2))/(16656/416). Let a = -8837/41987 - r. Find the common denominator of a and -62/9.
1089
Let q be ((-5)/(-15)*9)/(-3). Let f = 4 + -3. What is the lowest common multiple of f and 21*(-5)/(-15)*q*-1?
7
Calculate the lowest common multiple of 42 and (-15)/(-6)*21/(-6)*(-48)/42.
210
Let i(x) = 5 + 120*x + x**2 - 309*x + 134*x + 7 - x**3 + 100*x. Let s = 2 + 22. What is the least common multiple of i(7) and s?
264
What is the common denominator of 1 + 3 + 123/(-12) and ((-981)/72 - -14)/((-3)/324)?
4
Suppose -3*h - 69 = -5*b, -5*h = b + 1 + 2. What is the smallest common multiple of 290 + -273 - (3/6 - 18/(-4)) and b?
12
Let n = -26 - -48. Let w be 165/n*3*4. Suppose 2 = -4*r + w. What is the lowest common multiple of 22 and r?
22
Let n = 41841/5 + -251213/30. Calculate the common denominator of (-1)/4 + 532/57*72/140 and n.
60
Suppose -p + 10 = 5*u, 1 = 2*u - 4*p - 3. What is the least common multiple of u 