Let z = -50947 - -8202435/161. What is the common denominator of -12/77 and z?
1771
Let v = -36/533 - -20009/4264. Calculate the common denominator of -55/72 and v.
72
Let s = -449 + 469. Suppose s*p - 7*p = 260. Calculate the lowest common multiple of 88 and p.
440
Let t = -2319 - -2334. Suppose 5*o + 5 = 4*g - 3*g, 0 = 4*g + 2*o - 64. What is the lowest common multiple of g and t?
15
Suppose 53*p - 264 = 31*p. What is the lowest common multiple of (0 - (-1)/(-2)) + 146/4 and p?
36
Let n(y) = -y**3 - 25*y**2 + 45*y - 107. Suppose -5*i + 85 = -0. Calculate the lowest common multiple of i and n(-27).
136
Let u = 386/69 + 793/1104. What is the common denominator of (238770/(-432))/35 + 21 and u?
48
Calculate the common denominator of 378/(-330) - 0/(-18) and (5/((-30)/(-27)))/(280/64).
385
Calculate the common denominator of -26/795 and (13 - 4437/297)*6/(-8).
8745
Let x = -112 - -136. Suppose 0 = -x*d + 25*d - 54. Calculate the least common multiple of 18 and d.
54
Suppose 9*g = x + 5*g - 974, 0 = -6*x - 2*g + 5792. What is the lowest common multiple of x and 210?
4830
Suppose -k + y + 4*y = 2, -2*k + 2*y = 4. Calculate the lowest common multiple of 22 and 5460/338 - k/(-13).
176
Suppose -6*d = -p - 7*d, p - 4*d = -10. Let x be (-150)/(-50) - ((-2)/p - -6). What is the common denominator of 113/12 and x/(-12) - 6*(-6)/(-297)?
132
Let k be ((-10)/2)/((-2)/((-8)/(-2))). What is the common denominator of 85/12 and (-790)/(-80) + k/(-2)?
24
Let z = 97 + -85. Let h be (z/(-112))/(-3 - 1262/(-14)). Let v = h - 147611/7320. Find the common denominator of v and 35/11.
66
Let i(y) = y**2 + 35*y + 51. Let b be i(-33). Let h(n) = -n**2 + 12*n - 8. Calculate the smallest common multiple of (b/(-2))/(((-15)/(-4))/5) and h(11).
30
Let v(d) = 974*d - 6421. What is the least common multiple of 477 and v(11)?
4293
Let n = -110225/1307754 + 80/2247. What is the common denominator of -47/240 and n?
69840
Suppose 0 = 5*c + 17 + 3, -5*c - 60 = -4*y. Suppose l = 5*t + 27, 0 = 12*l - y*l - 3*t - 61. Calculate the least common multiple of 3 and l.
96
Suppose 16*p + 363 = 19*p. Suppose 3*n + p = 5*q, -q - 4*n + 20 = -6*n. Calculate the lowest common multiple of 182 and q.
182
Calculate the common denominator of (15/7)/(7*(-8)/(-196)) and (-1297)/(-176) - 16/88 - 1.
16
Let v = 22432 - 22427. What is the smallest common multiple of 400 and v?
400
Suppose -65 = 78*x - 65*x. Calculate the common denominator of -9/32 and x/(-2)*(-2054)/(-780).
96
Suppose 55*p - 67*p = -72. Let n = 32669/12 - 2717. Find the common denominator of (8/p)/(-4)*(-103)/4 and n.
12
Calculate the common denominator of 626 + -625 + (-4)/(-6) + 9881/(-5916) and 51/58.
1972
Let j(i) be the second derivative of i**4/12 + 19*i**3/6 + 11*i**2/2 + 12*i. Let f = -70 - -51. What is the least common multiple of j(f) and 44?
44
Suppose -322*m - 30 = -316*m. What is the common denominator of (-3 - (-33)/12) + m and 31/6?
12
Let t = -526/15 - -3947/105. Find the common denominator of 7/14 + 309/126 and t.
21
Suppose -4*y - 446 = -a - 3936, -2*a = 5*y - 4369. Calculate the lowest common multiple of 90 and y.
8730
What is the common denominator of ((-5499)/4275)/(-13)*26/(-39) and 29/570?
2850
Let z = 15234 + -4631111/304. What is the common denominator of z and 5/114?
912
Let t(c) be the third derivative of c**5/60 - 19*c**4/24 - 14*c**3/3 - 59*c**2. What is the lowest common multiple of t(21) and 178?
1246
Let d = -382 + 367. What is the lowest common multiple of (0 - (2 + 24/d))*-5 and 11?
22
Let o be (-1*(-771)/(-8))/(45/190). Let z = 829/2 + o. Find the common denominator of 79/2 and z.
12
Let h = 3/4117 + -243002/135861. Calculate the common denominator of -101/1860 and h.
20460
Calculate the smallest common multiple of (((-28)/(-392))/(2/21))/((-4)/(-32)) and 1608.
1608
Let m = 1285 + -143921/112. Let b be ((-38)/12)/((-168)/307). Let n = b + m. What is the common denominator of -9/2 and n?
18
Find the common denominator of 12249/66045 - (-128)/(-640) and -34/49.
30821
Let n(c) = 3*c**2 + 19*c - 22. Let q be n(-21). Suppose 54788 = 2*y - q. Let l = y - 1615069/58. Find the common denominator of 35/18 and l.
522
Let g be -6*(-46)/18*(-3)/2. Let q(b) = b + 39. Suppose 4*s - 3*a = 82, s = 6*s - 4*a - 102. What is the least common multiple of q(g) and s?
176
Let p(u) = 13*u**2 - 6*u - 1. Let z be p(2). Let v = z - -33. Calculate the smallest common multiple of 81 and v.
648
Let u = -774/5 + 96752/625. Let h = 757/41250 - u. Find the common denominator of -37/14 and h.
462
Suppose -1654 + 1577 - 11491 = -12*d. Calculate the least common multiple of d and 5302.
10604
Find the common denominator of -127/6 and (9 - 1) + (-128496)/16092*1.
2682
Let v = -350/51 - -6529/612. What is the common denominator of 71/72 and v?
72
Suppose 0 = 4*z - 561*u + 558*u - 1455, 4*z - 2*u - 1458 = 0. What is the lowest common multiple of 438 and z?
26718
Let x = -163059/130690 - -9/1867. Calculate the common denominator of (-188)/980 + 3/5 and x.
490
What is the common denominator of 4/3 - ((-110825)/156)/(-55) and -22/453?
1812
Let t be (-7682206)/280*2/3. Let i = t + 18297. What is the common denominator of 49/15 and i?
30
Let u = -452 + 656. Let c(f) = -7*f**2 + 100*f - 170. Calculate the least common multiple of c(12) and u.
2244
Suppose 180*n + 190 = 182*n + 2*p, n - 5*p - 113 = 0. Calculate the smallest common multiple of n and 364.
2548
Let p(u) = 130*u + 7066. Calculate the smallest common multiple of p(-9) and 6.
17688
Let i = -3471971517653/3145 + 1103965518. Let t be (30/(-153))/((-148)/(-6)). Let y = t - i. What is the common denominator of y and 15/4?
20
Let q(s) = -910*s - 8301. Calculate the least common multiple of q(-12) and 45.
13095
Suppose 8200*i - 53568 = 8182*i. Calculate the least common multiple of 3348 and i.
26784
Let r = 145 - 97. Suppose 6*m - 7*m = -k + r, 0 = -m - 2*k - 36. Let z = m - -50. Calculate the smallest common multiple of z and 13.
78
Let t be ((-1)/((-2)/(-28)))/(4/(-6)). Let b = -27 + t. What is the common denominator of ((-260)/18 - -4)/((-20)/b) and 133/30?
30
Suppose 12 = -q + 9. Let b(g) = g**3 - 5*g + 3. Let n be b(q). What is the lowest common multiple of (n/(-15))/(9/(-5) - -2) and 18?
18
Let k = 12334 + -370057/30. What is the common denominator of -139/540 and k?
540
Let r = 7121558952085111/5059051850743110 + -166670/57359364777. Let g = r + 1/114659. Let c = 4/13 - g. Find the common denominator of c and -13/7.
70
Let h(j) = 2*j**2 - 10*j - 27. Let x be h(11). Calculate the common denominator of 6/7 and (90/(-12))/3 - (-333)/x.
70
Suppose 0 = 5*h + 2*l - 866, 14*l + 692 = 4*h + 16*l. What is the least common multiple of h and 18?
522
Calculate the lowest common multiple of -7 - (-5*6/(-105) - (-3487)/(-77)) and 2870.
54530
Let r(t) be the second derivative of -t**4/6 - 5*t**3/3 + 19*t**2/2 - 13*t. What is the lowest common multiple of r(-6) and 22?
154
Let j = 6154219 + -775388813/126. Let n = 2409/7 - j. What is the common denominator of -58/27 and n?
54
Suppose 0 = -6*x - 205884 - 154428. Let n = x - -22579507/376. What is the common denominator of n and 111/20?
1880
Let m = -2911 + 3767. Calculate the smallest common multiple of 16 and m.
1712
Let f = 1833666577/2030 - 903284. Calculate the common denominator of -17/5800 and f.
40600
Let n = -32 + 33. Let a(w) = w**3 + 12*w**2 + 6*w - 15. Let t(b) = b**2 + 1. Let v(c) = n*a(c) - 2*t(c). What is the least common multiple of v(-7) and 6?
264
Suppose 17 = q + 2*w - 7*w, -2*q = -w - 7. Find the common denominator of (0 + q)/(-24)*(-889)/168 and -69/20.
1440
Let m = 32689 + -32654. Suppose 227 = 5*c - 158. What is the least common multiple of m and c?
385
Let j = 8800842524/13083 + -672693. Calculate the common denominator of 25/3 and j.
13083
Let o = 209302/25 - 8373. Calculate the common denominator of 61/50 and o.
50
Let q = -9805882/287 + 34167. Find the common denominator of -46/451 and q.
3157
Suppose 0 = -29*y + 23*y + 24. Calculate the common denominator of 97/8 and 53/(-158)*(-36)/(-3) + y.
632
Let u(v) be the second derivative of 3*v**5/20 + 7*v**4/12 - 4*v**3/3 + 7*v**2 - 142*v. What is the smallest common multiple of 18 and u(5)?
4716
Let i = 47/39 - 21043/17472. Find the common denominator of -23/576 and i.
4032
Let