 d = 1646274277/4205 + -391504. Find the common denominator of -11/20 and d.
16820
Let t be (-24)/(-10)*(-20)/(-4). Suppose 0 = y + 2*y - t. Suppose -4*i + 4 = 2*z, -z = -4*z - 3*i + 9. Calculate the smallest common multiple of y and z.
4
Let c = 317 + -318. Find the common denominator of -43/56 and ((-52)/(-50) + c)*15330/(-336).
280
Let f = 12 - 7. Suppose 0 = -4*d - f*m + 6, 0 - 10 = -5*d - 5*m. Calculate the lowest common multiple of 12/21 + 52/7 and d.
8
Let f = -3278481/1329886 - -1089/443. What is the common denominator of f and -143/6?
9006
Let v be (-2 + -2)*112/(-1 + -3). Suppose -17*s = -9*s - v. What is the least common multiple of s and 8?
56
Suppose 2*v - 47*w + 43*w = 150, 3*w - 245 = -4*v. Calculate the least common multiple of v and 156.
780
Let j = 370270 + -207351259/560. Calculate the common denominator of 139/180 and j.
5040
Let a(n) = n + 164. What is the least common multiple of a(-32) and 48?
528
Let d = 1404/7 + -33787/168. What is the common denominator of d and -2 - (130/(-42) + 3)?
168
Suppose 0 = 5*m - 4*h - 40, 0 = -3*m - 3*h - 0*h - 3. Suppose 36 = 6*y - 2*y + m*s, 0 = -y + 3*s + 21. What is the lowest common multiple of 18 and y?
36
Let q(l) = 13*l**2 - l. Let p(j) = -796*j + 56520. Calculate the least common multiple of q(1) and p(71).
12
Let d = -1605 + 211861/132. Calculate the common denominator of 209/120 - -5*8/(-20) and d.
1320
Let c = 173 - 179. What is the lowest common multiple of c - -6 - -54*1 and 2?
54
Let c = -15325/4 - -3807. Find the common denominator of -73/8 and c.
8
Let j(d) = -137*d + 1. Calculate the smallest common multiple of 107 and j(0).
107
Let p(q) be the third derivative of 3*q**4/4 - 39*q**3 - 286*q**2. Calculate the smallest common multiple of p(15) and 14.
252
Let q = 817 - 625. Calculate the common denominator of ((q/(-90))/16)/((-146)/80) and -97/2.
438
Suppose -a + 34*w + 5 = 29*w, -15 = -3*a - 4*w. Let k(j) = -4*j - 4 + 2*j**2 - 6*j + 9. Calculate the lowest common multiple of 11 and k(a).
55
Let t(h) = -182*h - 9098. Suppose 258 = 2*l + i - 245, 0 = -5*l - 5*i + 1255. What is the lowest common multiple of l and t(-50)?
252
Let z be -1 - 5 - (-585)/45. What is the least common multiple of 0 + (-16)/(-9 + z) and 486?
1944
Let a(b) = -10*b - 122. Let t be a(-5). Calculate the common denominator of (-2 - t/33)/((-168)/(-889)) and -82/15.
660
Let m = 31 - 9. Let j = 111 - 61. Suppose -q + j = 4*q. Calculate the least common multiple of m and q.
110
Let f(u) = 32*u**2 + 50*u - 1046. What is the lowest common multiple of f(13) and 40?
50120
Let q = -1716919 + 5734509419/3340. Calculate the common denominator of -81/14 and q.
23380
Calculate the common denominator of 197/1680 and (4 - 5)/6 + 2989/244.
1680
Let i(l) = -510*l**3 + 2*l**2 - 2. Let h be i(-1). Calculate the common denominator of h/1204 - 86/(-301) and -137/18.
774
Let o = -85/344 - -21185/49192. Calculate the common denominator of o and 23/52.
572
Let i(h) = -71*h**3 - 121*h - 348. What is the lowest common multiple of i(-3) and 52?
25116
Let u = 403 + -2815/7. Calculate the common denominator of (-1622)/(-252) - (-2074)/(-9333) and u.
14
Let d be (-2)/(-26)*-2 - 11647743/(-1794). Let a = 6493 - d. Calculate the common denominator of a and 137/6.
138
Let t = -1499 + 803. Let v = t - -732. Calculate the smallest common multiple of 136 and v.
1224
Suppose 4*c + 22 = k, -2*c + 16 = 2*c. Let l = k - 34. Suppose -2*j + 36 = l*j. What is the lowest common multiple of j and 10?
30
Let o = -2472522089/2970 - -832499. What is the common denominator of o and 21/2?
2970
Let h be ((-2)/2)/((-9)/99). Let r = h - 5. Calculate the lowest common multiple of r and -21*(-6)/(-18) - -22.
30
Let p be -3*(-26)/10*229. Let o = 295043/165 - p. Calculate the common denominator of (-7831)/492 + ((4 + -24)/4 - -13) and o.
132
Let a be 5/((-60)/9)*-4. Calculate the common denominator of ((-6)/26)/(508/4445) and -3 + -3 + a/(-6).
52
Suppose 0*s - 3*j - 6 = 3*s, 22 = -5*s - 2*j. Calculate the common denominator of -8 + (-328)/(-40) - (-16)/5 and (0 + -1)*(-59)/s.
30
Let v be ((-20)/(-15))/(4/9). Suppose -a + 4*a + 201 = v*p, 5*p + 177 = -3*a. Calculate the common denominator of 23/10 and 476/a - (-3 + 0).
80
Suppose -354 = -4*r - 5*d, -4*d = -3*r + d + 248. Let f(x) = -x**2 - 28*x - 123. Let b be f(-5). Let y = r + b. Calculate the least common multiple of 6 and y.
78
Let k(a) = -a**3 + 3*a**2 - 2*a + 4. Suppose -3*c + 6*c = 15. Let l be k(c). Calculate the common denominator of -89/16 and 2/5*(-658)/l.
80
Let j = 70 + -55. Let v be (200/j)/(3559/(-267)) - -1. Let k = v - -146125/733154. Find the common denominator of k and 87/10.
1030
Suppose 57 + 1857 = 11*m. Calculate the common denominator of 1/36 and (-412)/m - (-32 - -30).
1044
Calculate the common denominator of (-4)/9*309/24 and 21/35 + 481/(-210).
126
What is the lowest common multiple of (4/12)/((-79)/(-15168)) and 288?
576
Let m be 15/2 + 3/6. Suppose 0 = m*o - 7*o - 8. What is the common denominator of 6/o*248/(-84) and 95/8?
56
Let x(s) = 4*s**2 + s - 3. Let u(l) = 9*l**2 - l + 2. Calculate the lowest common multiple of u(-1) and x(3).
36
Let m = 597 - 414. Let t = m + -2018/11. Let n = -7669 - -61251/8. Find the common denominator of t and n.
88
What is the common denominator of -3 + (-306)/(-20) + (-2 - -2) and (-26150)/5200 - 1*(-4)/26?
40
Let k = -7608 - -1949. Let b = k - -203737/36. Calculate the common denominator of 19/54 and b.
108
Let i be (-7613)/(-34299) - 6/27. Let f = i + 529741/45732. Find the common denominator of f and 79/30.
60
Let k = -23724 - -24049. Calculate the lowest common multiple of 5590 and k.
27950
Let b(n) = 7*n**2 + 68*n. Suppose 0 = 5*s - 2*s - 1074. Calculate the smallest common multiple of s and b(-10).
3580
Suppose -5*y - 1361*x = -1359*x - 21954, y = 5*x + 4407. What is the smallest common multiple of 33 and y?
48312
Find the common denominator of 77/20 and ((-34)/136)/((-44)/(-11) - (-3353)/47).
70820
Let v = -947417/3072 - -14807/48. Find the common denominator of 77/80 and v.
5120
Suppose -i = -5*j - 12, 0 = -i - 26*j + 23*j + 4. Calculate the common denominator of -169/30 and ((-12)/(-210)*i)/(21/(-170)).
210
Suppose v + 3*v - 36 = 0. Let w(o) = -o**2 + 40*o - 286. Let d be w(24). Suppose -v*t = -2*t - d. What is the smallest common multiple of t and 9?
126
Let r(g) = -20*g - 65. Let l be r(4). Let h = l - -166. Calculate the least common multiple of 189 and h.
189
Let i(t) = 10*t + 5. Let s be i(8). Let a be (-196)/(-3) - -6*4/36. Let q = s - a. What is the lowest common multiple of 1 and q?
19
What is the common denominator of -71/5310 and (316/100)/(-3 + 36/20)?
5310
Find the common denominator of 16/57 and ((-21571)/2673 - -8 - 0)/((-1)/(-3)).
1539
Find the common denominator of (-149)/165 + 1/(-3) and (-5)/(700/108) - 0/(-58 + 7).
385
Suppose -2*o = o - 15. Suppose p - 5*j + 30 = 34, 0 = p + 2*j + 10. Calculate the smallest common multiple of 0 + -5 - 6*18/p and o.
65
Calculate the lowest common multiple of 77 and 21 - (-63)/(-36)*8.
77
Let q = 2610 - 2606. Calculate the least common multiple of q and (-98)/(-6) + 1/(-3).
16
Suppose 9*q - 4*q + 47 = 4*j, -j = -3. What is the lowest common multiple of 498 and q/3*(-54)/63?
498
What is the common denominator of (-44 + (-7801)/(-145))*(2 - 0)/(-514) and 13/160?
41120
Let x be 11/(-55) - (-1)/((-10)/(-312)). Let o = 171 - x. Suppose 4*c - 2*p + 5*p - o = 0, -2*c = -3*p - 52. Calculate the lowest common multiple of c and 8.
32
Let r = 2528/7 - 50133/140. What is the common denominator of (5551/(-208) - -17) + 10 and r?
80
Let m = 9635580059/2970 + -3244303. What is the common denominator of -119/810 and m?
8910
Suppose 11*y - 634 = 3249. Let g = y - 7177/20. Calculate the common denominator of g and -99/8.
40
Let j = -259741/24 - -10819. What is the common denominator of j and -95/372?
744
Suppose 0 = 5*g + 26*g - 744. Calculate the smallest common multiple of 639 and g.
5112
What is the lowest common multiple of 117 and (32/(-2) - 32/16)*(-135)/10?
3159
Suppose -3 = i - 6, 2*t = -4*i + 36. Suppose -4*l + t = -17*f + 21*f, -27 = -4*f + l. Calculate the lowest common multiple of f and 108.
108
Let n = -5164 + 6896. What is the lowest common multiple of 10 and n?
8660
Let l = -296409 - -1351623