ose 107*i = 101*i + 4800. Find the common denominator of ((-20)/i)/((-15)/(-5)) and 69/220.
1320
Suppose -3*d = -3*o - 50469 - 2700, d = -3*o + 17723. Let y = 141425/8 - d. Let m = -19/8 - y. Find the common denominator of 25/16 and m.
16
Let t = -336 + 230. Find the common denominator of -19/162 and t/477 + 3/((-378)/(-577)).
1134
What is the common denominator of (59/236)/(-2 - 107/(-53)) and 90/(-4)*12/840?
28
Let v = 98 + -99. Find the common denominator of 6*(1 - (-29)/(-28)) and (2424/342 - 5) + v/6.
266
Let s be 0 - 315/(-3*1). Let m = 167 - s. Suppose 0 = -3*h + n + 21, 6*h - n = 7*n + 60. Calculate the lowest common multiple of m and h.
186
Let n = 34 + -26. Suppose 0 = -n*l + 6*l + 10. Suppose l*k - 16*k + 154 = 0. What is the lowest common multiple of 10 and k?
70
Suppose -5*t - 3 = 2*f - 27, -2*f = -t. Let l(b) = 10*b**2 - 10*b. What is the lowest common multiple of l(f) and 36?
180
Let t = 806/17 + -18001/408. Calculate the common denominator of 83/732 and t.
1464
Let c = -15799/16620 + 1/1662. Let x = -2261534737/537288 + -1/179096. Let f = 4231 + x. Find the common denominator of c and f.
60
Let o be 3/((-18)/4)*(-63)/6. Suppose 15*v - 68 = o. What is the smallest common multiple of v and 10?
10
Suppose 4*t + 2*t = 6102. What is the least common multiple of 9 and t?
1017
Let t = 4443 - 4431. Suppose z = -3*z + 1656. Calculate the least common multiple of z and t.
828
Let a be 34/8 + (-414)/(-552). Suppose 4*n = -4*w + a + 7, 2*n - 4*w = 24. What is the smallest common multiple of 153 and n?
306
Suppose -6*j = -3*j + 108. Let l = j + 7. Let b = -20 - l. Calculate the lowest common multiple of 18 and b.
18
Let c = -59 - -62. Let w = c + 9. Suppose r = -4*g + 11, -4*g + 5*r + 5 = w. What is the smallest common multiple of 4 and g?
4
Let g = 77/320 - 26701/10560. Calculate the common denominator of g and 1/72.
792
Let t(h) = 5*h**2 - 2*h. Let w be t(1). Let y be 6*(-5 - (-16)/w). Calculate the lowest common multiple of 40 and 3 + y + (-1 - 7*-4).
160
Let t be -7*(-22587)/(-825)*(-10)/(-8142). Let f = t - 4/4071. Find the common denominator of f and -41/40.
440
Let t(r) = 5*r**2 - 73*r - 2110. Calculate the smallest common multiple of t(-23) and 8.
8856
Let n = -419 - -610. Let l = -107 + n. Suppose 6*p = -8*p + l. Calculate the lowest common multiple of p and 33.
66
Suppose -39*r + 33*r = 1206. Let b = r - -267. Calculate the smallest common multiple of 88 and b.
264
Suppose 0 = 2*t - 2*z + 912, 0*z - 2282 = 5*t - 4*z. What is the common denominator of -74/33 and 1 + (t/(-468) - (-4)/(-18))?
858
Let f = -6320 + 6404. Calculate the smallest common multiple of f and 60.
420
Let h be (2 + -3)*0 - 0. Let z be (-12)/(-3 + h) - 2/1. Suppose 5*i - 3*y = -z*y + 38, 6 = -2*y. What is the smallest common multiple of 8 and i?
56
Let m = 1352/3 - 443. Calculate the common denominator of m and (-2)/4*5*84/702.
117
Let k(l) be the first derivative of 1/2*l**2 + 1/3*l**3 - 29 + l. What is the smallest common multiple of k(-2) and 5?
15
Suppose -4*j - 2*m - 3*m - 1600 = 0, 4*m + 800 = -2*j. Calculate the common denominator of (1615/j + 4)*-4 and 23/58.
580
Let l(g) = 2*g - 3 - g + 11. Suppose 572*z - 573*z = s - 29, -s + 141 = 5*z. Calculate the smallest common multiple of z and l(-6).
28
Let i = -499815/44 - -11361. Find the common denominator of ((-9)/96)/((-6)/4) and i.
176
Let c be 8939/2 - 6/12. Let d = c - 44641/10. What is the common denominator of -17/14 and d?
70
Let p = 17944/9243 + -98/79. Let b = -30211279/120 + 251761. What is the common denominator of b and p?
4680
Suppose 2*t = 7*t - 1595. Suppose 6*y + t = 5*s + 7*y, -s = -4*y - 68. What is the smallest common multiple of 2 and s?
64
Let a = -8431 + 9997. What is the lowest common multiple of a and 696?
6264
Let k = 103183109/486 - 212311. Find the common denominator of -8/675 and k.
12150
Suppose -10*j - 4 = -94. What is the least common multiple of j and ((-4)/(-2))/(3 - (-44)/(-16))?
72
Let a = -455794 + 975399197/2140. What is the common denominator of -101/18 and a?
19260
Let f be ((-2)/4)/(5/70). Let z be f + 6 - (-12)/2. Suppose -z*g - 3*l + 182 = 0, -3*g = -0*g + 5*l - 122. Find the common denominator of g and -61/15.
15
Suppose 257 = 5*d - t, 163*d = 164*d + t - 55. What is the lowest common multiple of 801 and d?
41652
Let d be -860071*(-39)/(-30) + 3 + 0. Let g = 1120199 + d. Let f = 2100 - g. Calculate the common denominator of f and 43/18.
90
Let n(k) = k**2 - 5*k + 2. Suppose -9240 = -776*m + 627*m - 775*m. What is the smallest common multiple of n(5) and m?
10
Let i = -318 + 323. Suppose -39 = -3*b + k, 3*b - i*k + 29 = 4*b. Calculate the lowest common multiple of b and 1/2*(1 - -3).
14
Suppose -4*l = 5*a - 298, 2*a - 139 = -0*a + 5*l. Suppose a*s - 144 = 64*s. Let n = s - -87. Calculate the smallest common multiple of n and 12.
60
Suppose 4 = -4*i, 106 = 4*j + i + 23. What is the common denominator of 39/(-132) - (-96)/176 - 1028/6480 and j?
405
Let r be (3/(-6))/((-9)/(-72)). Calculate the least common multiple of 22 and (-164)/(r - (-18)/6).
1804
Suppose -9*r = -4*r - 995. Suppose 7 + r = 2*a. Suppose 0 = 102*q - a*q + 114. What is the least common multiple of q and 14?
798
Calculate the least common multiple of (-85)/(-170) + 9651/6 and 10.
16090
Let r = 20 + -38. Let y(m) = -20*m - 26 + 367*m**2 - 204*m**2 - 182*m**2 - m**3. Calculate the smallest common multiple of 112 and y(r).
560
Suppose -o = -0*o - 68. Suppose -4*h + 20 = -v - 3*v, -v = -2*h + 6. Calculate the smallest common multiple of o and 10/(-15) - h*38/(-3).
204
Let o be (5 - 2)*1 + (7 - 10). Calculate the smallest common multiple of 11 and -2 - o - (-18 + 2 + 5).
99
Suppose -2*h - 2*u + 16 = 2*u, 0 = 3*h - 4*u - 4. Suppose -12 - h = -f. Calculate the smallest common multiple of f and 186.
1488
Suppose -103 = -3*z + f, 2*f = -3*z - f + 123. What is the common denominator of 3/z*(-2)/((-4)/(-298)) and 47/28?
84
Let g be (17 + 1)*(-32)/(-48). Calculate the common denominator of 119/240 and (-20)/18*g*3/96.
240
Let t be (12/(-7856))/(6 + 195/(-40)). Let y = -45306479964458/7365 - -6151592654. Let b = y + t. Find the common denominator of 71/3 and b.
15
Suppose -5*k - 69*f = -70*f - 15, 0 = 4*f + 20. What is the least common multiple of k and 3478?
3478
Find the common denominator of (-1726)/480 - (-576 + 573) and -167/1200.
1200
Let i = -4 + 10. Let k be (-6 - i)/(3/(-2)). What is the common denominator of -21/20 and 3/k*(-24)/6?
20
Let s be ((-2)/(-6))/(((-20)/(-134085))/(-1)). Let g = s + 2250. Find the common denominator of (-79)/2*1/2 and g.
4
Let s be (-8 - 0)*(-16)/32. Suppose s = 2*n - 0. Let f = -105 - -107. What is the least common multiple of f and n?
2
Let i = -471710/297 + 4765/3. What is the common denominator of i and -23/165?
1485
Suppose -28*y + 13275 = -4*y - 6309. Calculate the smallest common multiple of 66 and y.
8976
Let j = 21 + -23. What is the common denominator of (-4 - (-40)/(-6)) + (-8)/12 and (((-890)/192)/(-5))/(1/j)?
48
Suppose -5*v - 95 = 15*k - 270, -14 = -k + 2*v. Let n = 35 + -15. Calculate the smallest common multiple of k and n.
60
Let p = -38975784187/299 + 130353913. Let q = -1578/13 + p. Calculate the common denominator of q and 69/2.
46
Let f = 7250 + -231941/32. What is the common denominator of 145/312 and f?
1248
Let x = 3/46064 + 2231809/35238960. What is the common denominator of x and -39/2?
1530
Calculate the smallest common multiple of (-51927)/(-741) - (-12)/(-156) and 1351.
13510
Let n(v) = 4*v**2 - v. Let m(r) be the third derivative of r**5/30 - 11*r**4/24 + 29*r**3/6 + 2*r**2 - 16*r. What is the least common multiple of n(2) and m(3)?
14
Let u = 1975964/105 + -18818. Find the common denominator of 20/140*(87 + 1) - 7 and u.
105
Let s = -6/27085 - 1215177/16467680. Find the common denominator of 67/192 and s.
3648
Let x(l) = -2*l**3 - 9*l**2 + 12*l + 17. Let h be x(-7). Let i = 1245/7 - h. What is the common denominator of i and 5/13?
91
Let u(i) = -i + 7. Let n be u(3). Let o(r) = r**3 - 3*r**2 - 2*r + 2. What is the least common multiple of (45 + -43)/(1/(-1 - -3)) and o(n)?
20
Suppose -7*g - 596 = -3*g. Let o = -125 - g. Calculate the smallest common multiple of o and (6/8)/(2/8).
24
Suppose -3*f + 88 = -3*i + 1, -f + 3*i = -23. Suppose -13*z + 