4*j - 908 = 4*m - 8*m. What is the lowest common multiple of j and 144?
2016
Suppose -79*j = 3*t - 81*j - 2719, 0 = 5*t + 3*j - 4557. What is the lowest common multiple of t and 66?
19998
Let p(x) = x**3 - 5*x**2 - 15*x + 27. Let o be p(9). Calculate the common denominator of -61/96 and 4 - (1101/o + -2).
288
Let c(u) = 2*u**2 + 515*u - 5200. What is the smallest common multiple of c(10) and 60/7 - 16/28?
600
Let n(m) = -3*m**3 + 14*m**2 + 43*m - 122. What is the smallest common multiple of 756 and n(3)?
9828
Suppose 4*k = -n + 1138, 102*n - 876 = -3*k + 105*n. What is the least common multiple of k and 66?
858
Let m = 21037/2590 + 17/185. Let j(p) = -p**3 - 20*p**2 + 4*p + 15. Let g be j(-17). Find the common denominator of m and g/(-759) - (-1)/(-6).
154
Let p = 12/32665 - 1437752/1339265. Let z = 1/401 + 59743/2406. Calculate the common denominator of z and p.
246
Let b = 911/152 - -107/19. Let x be (-8)/(-6) - (-2)/3. What is the common denominator of b and x/(-10) - 336/45?
24
Let d = 13171/72 - 1598/9. What is the common denominator of 5/922 and d?
3688
Suppose 0 = -5*h - 4*y + 16, 0 = -5*h - y - y + 8. What is the common denominator of 150/120*((-524)/(-30) + h) and 16/20 - (-269)/20?
12
Let u = -34 - -18. Let w(r) = -r + 8. Calculate the least common multiple of (27 - 28)*4*2/(-4) and w(u).
24
Suppose 10 = -2*i + 3*i - 2*d, -3*i + 5 = -d. Suppose i = 41*o - 44*o - 87. Calculate the common denominator of -41/3 and (o/(-23))/((-5)/5).
69
Let b = 159255 + -45387724/285. What is the common denominator of 155/456 and b?
2280
Let b = 86/59 + -4494/3245. Calculate the common denominator of 41/20 and b.
220
Suppose 4*m = 18*w - 16*w - 18, 2*m = -2. Calculate the lowest common multiple of 126 and w.
126
Let b = 11015 - 110237/10. Let p = -30 + 87. Let m = p - 17. Calculate the common denominator of m and b.
10
Let c(q) = q**2 + 15*q + 3. Suppose -3*j = 2*v - 7*j + 34, 3*v + 4*j = -41. What is the least common multiple of 59 and c(v)?
177
Suppose -4*u - 5*x = -45, -u - 7 - 13 = -5*x. What is the common denominator of (121/u)/((-18)/(-5)) and -85/22?
198
Let i(c) be the third derivative of c**5/60 + 11*c**4/6 + 193*c**3/6 + 81*c**2 + 3*c. What is the smallest common multiple of (1 - 7)*6/(-4) and i(-40)?
99
Suppose 4*s + 19 = 2*o + 23, 5*s = 4*o - 1. Calculate the smallest common multiple of (-6)/4*(-124)/s + 2 and 1.
64
Let i = -16036122571/4092 + 3918896. Find the common denominator of i and -67/372.
4092
Let k(u) = -u + 1 + 0 + 12. Let f(i) = 9*i**2 + 1. What is the lowest common multiple of k(9) and f(1)?
20
Suppose -12*l + 16*l - 32 = 0. Suppose 57 = 5*d - 2*i, 0 = 3*d - 4*i + l*i - 55. Suppose -d*x = -9*x - 56. Calculate the smallest common multiple of x and 56.
56
What is the common denominator of 1/140*1770/(-12) and 665/(-90) + 20/(-90)?
504
Let f(v) = -v**3 - 3*v**2 + 3. Let l = -32 - -30. Let i be f(l). Calculate the common denominator of 33/8 and i/((-24)/(-161)) + 1.
24
Suppose -3*l + 5*l = 64. Suppose 0 = 85*t - 839 - 3071. Suppose -b - l = -2*d - 5*b, -5*b = 3*d - t. What is the common denominator of d and -46/9?
9
Suppose -3*k = 5*t - 6822, -5*t + 40*k + 6870 = 35*k. What is the smallest common multiple of 27 and t?
4104
Let t(a) = a**2 + 4*a - 14. Let o be t(8). What is the common denominator of (-2 - 0)/(4/o) and (-1157)/(-1105) + 4/(-10)?
17
What is the common denominator of ((-1025)/70 - -5)*(-7)/(-2262) and 59/9048?
9048
Let f = -28648/179 + 121716215/760392. What is the common denominator of 71/8 and f?
4248
Let w = 5007191/579 - 8648. Let r = -5431/15633 - w. What is the common denominator of r and 149/36?
324
Suppose -5*n + 28 = 4*w, 2*w = n + n - 22. Suppose -830 = -43*u - 228. What is the lowest common multiple of n and u?
56
Let l = 594 - 69. Let b(p) = 66*p - 195. Let t be b(3). Calculate the common denominator of -119/6 and l/(-80) + t - 1.
48
Let b be 409478830/25704 + (-6)/14. Let y = b + -15930. What is the common denominator of y and 87/4?
108
Let a = -1038 + 1043. Let c(f) = 5*f**2 + 4*f - 4. Let b be c(-4). Suppose -b = k - a*k. Calculate the lowest common multiple of k and 12.
60
Let t(x) = -4*x**2 - 254*x - 90. What is the smallest common multiple of 129 and t(-63)?
1548
Suppose -2*p - 2*o = 4, -3*p + p - 8 = 3*o. Let l(j) = -30*j**2 + 7*j - j + 6 + 13*j**p + 18*j**2. What is the smallest common multiple of l(-8) and 4?
44
Let a = -94 + 94. Suppose -3*r - 5*y - 116 = a, 5*r + 4*y + 64 + 125 = 0. Find the common denominator of -19/16 and (r - 1)*(2225/(-740) - -3).
592
Suppose -3*p + 5 = 4*f, 4*p = -5*f - 0*p + 5. Suppose f*w = 12 + 18. What is the smallest common multiple of 75/7 + 2/7 and w?
66
Let f(w) = w**3 - 10*w**2 - 10*w - 7. Suppose -9*b + 4*b = -55. Let h be f(b). Suppose 100 = h*x + 6*x. Calculate the least common multiple of x and 7.
70
Let c(n) = -n**2 + 7*n - 4. Let s = 76 + -88. Calculate the lowest common multiple of c(5) and 3/s + (-872)/(-32).
54
Find the common denominator of -39/1538 and 667/126 - 420/735.
13842
Let j = 3779 - 3723. What is the least common multiple of j and 896?
896
Let s = 43512/17 - 1653395/646. Calculate the common denominator of -31/408 and s.
7752
Suppose 2*i = -4*j + 252, 8*j = 12*j + 5*i - 264. Let n = j - 57. Calculate the least common multiple of 78 and n.
156
Calculate the common denominator of 52/11 and (2/44)/((-413)/3835).
154
Suppose 4*w + h = 45, 4*w + 4*h + 0*h - 60 = 0. Suppose 0 = -2*i - 48 - 12. What is the smallest common multiple of 96/i*(-2 - 8) and w?
160
Let b = -58 - -60. Let f be (-1096)/(-72) - 4/18 - b. Suppose 2 = -p + f. What is the lowest common multiple of p and 3?
33
Let j be (-4 - -9 - 7) + (1 - -190). Suppose 31*m + j = 34*m. Calculate the smallest common multiple of 6 and m.
126
Let d = -1/138788 - 2983935/971516. Let w = -2093/4 + 536. Find the common denominator of d and w.
28
Let n(p) = -p**3 - 47*p - 158. Calculate the smallest common multiple of 5 and n(-6).
340
Suppose -2*x = -4*l + 20 - 12, 2*l = 12. Suppose 790 = 53*f - 48*f. What is the lowest common multiple of x and f?
632
Let b be 983488/197251 + -2 - 3. Let l = b - 5/697. Let x = l + 20671/566. What is the common denominator of -79/2 and x?
2
Find the common denominator of ((-34)/(-153)*549)/80 and -39/25.
200
Suppose -2*x + 3 = x. Let a = -27659/66 - -4850/11. Calculate the common denominator of a and -90*x/((-220)/(-8)).
66
Let k = -6769/2292 - -7/191. Calculate the common denominator of k and 3/15 + 844/180.
36
Let g(t) = 7*t + 9*t - 3 - t**2 - 5*t + 2*t**2. Let x be g(-11). Calculate the common denominator of x + 190/(-52) + 3 and -51/16.
208
Suppose 11380 = -3*y + y. Let w = y + 68231/12. Calculate the common denominator of w and (3344/66)/(-1 + 3).
12
Let n = 1327/35 - 9397/210. Calculate the common denominator of n and 293/315 + (-2)/7.
90
Suppose 38 + 102 = 4*c - 76. Let n(o) = 7*o + 9. What is the smallest common multiple of n(9) and c?
216
Suppose 12*y - 12 - 24 = 0. Suppose 0 = -3*r - 4*d - 1 - 9, 0 = y*r + 5*d + 14. What is the common denominator of -89/6 and (-1)/r + (3 - (-436)/24)?
6
Suppose -3*l - 10 = 2*l. Let s be ((-2)/l*5)/((-2)/(-30)). Calculate the common denominator of 785/s - 2/3 and -48.
5
Let z = 5004907/440 + -11375. What is the common denominator of 35/22 and z?
440
Let h = -29398 + 5556176/189. Let m be (12/(-54))/((-6)/(-5)). Let c = m + h. Calculate the common denominator of 43/7 and c.
7
Let r be (-8)/5*3/((-36)/30). What is the common denominator of (1 - r)/((-52)/(-32)) - -2 and 39?
13
Let r = -590/51 - 743297/408. Let o = r + 1831. What is the common denominator of -45/22 and o?
88
Suppose -7*u + 97 - 349 = 0. Find the common denominator of (-39)/65*159/u and -20/3.
60
Let q(y) = -2*y**2 + 3*y + 1179. What is the smallest common multiple of q(-21) and 378?
4914
Let w = 18035/2926 - -130/209. Let i = -1477350 - -26603833/18. Let j = i + -642. What is the common denominator of j and w?
126
Let c = -129 - -130. Calculate the common denominator of 7/13 and 29400/336*1*c/(-5).
26
Let u be (3132/(-90))/(1/(-5)). What is the common denominator of (2 - 28/8)/((-30)/99) and 1*1/(44/u)?
220
Suppose 5*a + 20*b - 17*b = 1944, -3*a + 4*b = -1207. What is the smallest common multiple of a and 15?
1965
What is the common denominator of (-1177)/252 + (