4*k + 5*f - 82, -4*k + f - 74 = -8*k. Suppose -4*q + 4*i + 380 = 0, -4*i = -3*q + 154 + 132. Calculate the least common multiple of q and k.
846
What is the smallest common multiple of 10 and 84/(-9)*(-1)/(10/45)?
210
What is the common denominator of -39/32 and (4/8)/(2196/(-1134))?
1952
Let a = 76157 - 4569311/60. Find the common denominator of -29/8 and a.
120
Let h = -367064/585 - -3137/5. What is the common denominator of 2/9 and h?
117
Let s(x) = -x**3 + 4*x**2 + 6*x - 4. Let o(f) = f**2 + 2*f - 38. Calculate the smallest common multiple of s(4) and o(-8).
20
Let c = -810583/10 - -77408. Suppose -5*k + 3*i + 18225 = 4*i, -5*i = 0. Let f = k + c. Find the common denominator of 28/19 and f.
190
Let n(m) = m**3 - m**2 - m - 179. Let o be n(0). Let j = -899/5 - o. What is the common denominator of -45/4 and j?
20
Let n = 10156 - 274168/27. Calculate the common denominator of -139/108 and n.
108
Suppose -n = -5*n + 48. Calculate the lowest common multiple of n and 15 + ((-3)/(-2) + -2)*0.
60
Let p = -7294/11 - -131161/198. What is the common denominator of 91/36 and p?
396
Let l be 808*2/(-18)*-2. Suppose -77*n - 720 = -73*n. Let i = l + n. Calculate the common denominator of i and -12/11.
99
Find the common denominator of -37/12 and (-33)/223*(-72)/(-1296).
2676
Suppose -7 + 13 = 2*r. Suppose 8 = -0*t - 4*t. What is the least common multiple of 12 and (-12)/t - r - -19?
132
What is the common denominator of -40/3 and 157/(-5)*10/84?
42
Find the common denominator of -321*(538/108 + -5) and 11/76.
684
Let g = -528 + 272. What is the common denominator of 2/(5/(-10)*g/122) and 85/8?
32
Let t be 15/(-36)*-22 + 2 + -4. Let m = 5/12 - t. Find the common denominator of m and 11/9.
36
Let n be -1 + 1*-27*1. Let k = -19 - n. What is the common denominator of 35/32 and 9/28 - k/(-21)?
32
Let s(r) = 4*r + 77. Let w(m) = -12*m + 90. Let v be w(9). Calculate the least common multiple of s(v) and 5.
5
Let w = 514 + -7678/15. Find the common denominator of w and -27/55.
165
Suppose -g - 2 + 9 = 0. Suppose -3*l = l - 96. Suppose 21*y = l*y - 18. Calculate the lowest common multiple of g and y.
42
Let w = -5603/7 + 799. Find the common denominator of w and -11/28.
28
Let q be (-1 - (-11)/1)/2. Let n = q + -12. Let x = 12 + n. What is the lowest common multiple of 1 and x?
5
Calculate the common denominator of (159/12)/(27/(-54)) and -1 - -1*(-122)/(-6).
6
Let t(o) = -3*o**2 - 31*o - 63. What is the lowest common multiple of 93 and t(-3)?
93
Let y = 19 - 20. What is the lowest common multiple of (y - 1)/(10/(-15)) + 12 and 27?
135
Let p = 600/211 - 71461/13926. What is the common denominator of 49/12 and p?
132
Let s = -34 - -36. Calculate the smallest common multiple of 558 and s.
558
Let n = -128269/25608 + 54/1067. What is the common denominator of n and 151/12?
24
Let s = 10 - 9. Let h(y) = y**2 + 2 - s + 4*y - 4. Calculate the lowest common multiple of 16 and h(-7).
144
Let x be (1410/39 - -4) + (-6)/39. Let o = -10 + x. What is the least common multiple of o and 21?
210
Let k = 32 + -1279/40. Find the common denominator of k and 47/50.
200
Let c = -653/2233 + 4/203. Suppose 4 - 9 = 5*k. Find the common denominator of 2 - k*134/(-16) and c.
88
Let z be (10 + -8)*(-50)/(-4). Let a = -19 + z. Suppose 4*x - 36 = x. What is the lowest common multiple of a and x?
12
Suppose 4*g + 2*t = 126, 5*g - 2*t = 109 + 53. Let i = -17 + g. What is the least common multiple of i and 9?
45
Let f = 574 - 9181/16. Let o = f + 391/48. What is the common denominator of o and 48/55?
165
Let r be (-3)/1 + -42 + 1. Calculate the common denominator of (6/r)/((16/(-4))/4) and 9/7.
154
Let n(k) be the second derivative of k**4/4 + 2*k**3/3 - 2*k**2 + 7*k. What is the least common multiple of 1 and n(-3)?
11
Suppose -452 - 152 = -2*s. Let q be (2/(-3))/(s/138). Let b = 6809/3020 + q. Find the common denominator of 23/6 and b.
60
Let t = -28 + 108. What is the smallest common multiple of 200 and t?
400
Suppose 2*h - 8 = -w, w = 5*h - 4*h + 2. Let k be (-34)/(-17) - (8 - 1). Calculate the common denominator of -61/3 and 33/w - (k - -6).
12
Let c = -1/7079 - -771629/127422. Let d = 8833 + -194285/22. Find the common denominator of d and c.
198
Find the common denominator of (-1974)/126 - (-2 - 10/(-6)) and 5/6.
6
Let w = -276 - -1971/7. Let j be 15252/(-3124)*16/30. Let i = j - -3/781. Calculate the common denominator of i and w.
35
Suppose 3*c - 5*q + 325 = 0, -5*c + 2*q = -c + 438. Let n = 113 + c. What is the least common multiple of n and 39?
39
What is the common denominator of -4 + 0 + ((-13775)/(-160))/19 and -89/6?
96
Let n(g) = -29*g + 207. Calculate the lowest common multiple of n(7) and 45.
180
Let s = 4/2019 + 54473/20190. Suppose -4*o = -7*o - 21. Find the common denominator of s and o.
10
Suppose 0*o - 2*g = -5*o + 214, -4*o - g = -179. Calculate the lowest common multiple of o and 6.
132
Suppose 0 = 5*l + 288 + 37. Let s = l - -255/4. Calculate the common denominator of -75/22 and s.
44
Let u = 1473 + -13312/9. Find the common denominator of -50/13 and u.
117
Calculate the smallest common multiple of 30/105 - (-920)/14 and 9.
198
Let v be (-8)/3*358*(-3)/(-2). Let l = v - -4357/3. Calculate the common denominator of 46/11 and l.
33
Let f(s) = -s + 6. Let b be f(-6). Suppose o + b = 5*o. Calculate the least common multiple of 5/((-25)/(-20)) - 1 and o.
3
Let b(p) = -41*p + 1. What is the lowest common multiple of b(-1) and 20?
420
Suppose -14*q = -194 + 54. Calculate the lowest common multiple of 100 and q.
100
Suppose 0 = 4*s + i - 123, -4*s + 3*i - 2 = -113. Let n(j) = j**2 + j. Calculate the smallest common multiple of n(-4) and s.
60
Let v = 35 + -19. Calculate the lowest common multiple of -1*(-1 - -3)*(-18 - -10) and v.
16
Let a be (-4)/22 + (-524)/22. Let k = -2 - a. Calculate the common denominator of -53/5 and k*(-3 + (-23)/(-8)).
20
Let o be (5/(-20))/(2/(-112)). Let l = -1 - -3. Suppose -5*n = l*k - o, 3*k = -n + 3 + 5. What is the lowest common multiple of 6 and k?
6
Calculate the lowest common multiple of 4 and ((-3)/((-45)/185))/(1/24).
296
Let i = -4 + 6. Let n = 7 - 3. Suppose 2*t - n = -0*t. Calculate the lowest common multiple of t and i.
2
Suppose 2*x = -4*v + 64, -123 = -5*x - 3*v + 9. Calculate the smallest common multiple of x and 10.
120
Let o = 34 + -33. Calculate the smallest common multiple of ((-5)/3)/(5/(-6)) and o.
2
Suppose -12*r - 76 + 112 = 0. Suppose -11 = -5*j + 24. Calculate the smallest common multiple of j and r.
21
What is the common denominator of (-4 - (-6916)/1785)/((-2)/(-9)) and -20/9?
765
Let j(d) = -d**2 + 1. What is the least common multiple of j(0) and ((-2)/(-10))/(0 + (-3)/(-75))?
5
Let l = -328 + 332. Calculate the lowest common multiple of l and 4.
4
Let o = 202/17 + -3643/102. Let l = 29917/154 - 1371/7. Find the common denominator of o and l.
66
Let o be 123/6 - (0 + (-2)/4). Suppose -2*h = -75 + o. Calculate the least common multiple of h and 5.
135
Let k = 2231/5 + -26567/60. Suppose j = 3*y - 4711, -5*y + 18830 = j - 5*j. Let h = j - -65833/14. Calculate the common denominator of h and k.
84
Let o = -82 + 139. Let m = 95 - o. What is the lowest common multiple of m and 18?
342
Let w(h) = h + 14. Calculate the smallest common multiple of 18 and w(13).
54
Suppose 0*k - 2*k + 244 = 0. Let i be 160/10 + 2 + 0. Find the common denominator of (-6)/i - k/(-60) and 5/12.
60
Let v be 18250/(-529)*(2 - 3). Let y = -1/1058 - v. Let r = 2/1803 + -178525/25242. Find the common denominator of r and y.
14
Let m be -1 - 468/16 - 1/(-4). Let c = m + 46. Calculate the smallest common multiple of 12 and c.
48
Let j = -97 - -601. What is the lowest common multiple of 168 and j?
504
Let b(h) = 2*h**3 - h**2 + 7*h - 15. Calculate the smallest common multiple of b(2) and 24.
264
Let x = 15 + -887/60. What is the common denominator of 25/6 and x?
60
Let m = -70 + 100. Let k = -1385 + 1396. Calculate the lowest common multiple of k and m.
330
Let d(b) = b**3 - 8*b**2 - 6*b - 6. Let n be 4/(-3) - (-341)/33. Calculate the lowest common multiple of 33 and d(n).
231
Suppose -39 - 11 = -g. Calculate the common denominator of -2 - (-3 + (-47)/(-14)) and 20/g + (-418)/(-180).
126
Let p = 9 - 5. Suppose 159 = 18*q + 51. Suppose 10 + q = p*o. W