 12 = 0. What is the smallest common multiple of z and c?
20
Let n = -8851/130 + 1006/13. Calculate the common denominator of ((-1)/9*1)/1 and n.
90
Suppose 4*m = 5*b + 3 + 1, 4*b = -2*m - 24. Find the common denominator of 29/4 and 3/b - (-9)/216*207.
8
Let p = -14006 + 14028. Let b(n) = 22*n**2 - n + 1. What is the smallest common multiple of b(1) and p?
22
Calculate the smallest common multiple of 42 and ((-8 + 143)/(-5))/((2 - 6) + 3).
378
Suppose 129*y - 662*y + 9594 = 0. What is the least common multiple of 64 and y?
576
Let g be (1 - (-13758)/(-10))*(-5)/10. Let f = g + -47993/70. Calculate the common denominator of f and 127/42.
42
Let w(d) = -2*d**2 + 20 - 12*d - 3*d + 3*d**2. Let g be w(14). What is the common denominator of -25/18 and 38/(-8) - ((-24)/10)/g?
180
Let c = -206/37 - -131661/23495. Let t = 21898/26035 - c. What is the common denominator of 37/4 and t?
164
Let s = 1132 - 12432/11. Let g be -2 + 2 - -13 - (-12 + 8). What is the common denominator of s and g*(-3)/(-72) - -5?
264
Let d be 1/((-5)/(-920)*2). Find the common denominator of (30/(-100))/(2 + d/(-45)) and -123/10.
20
Let p = -80525/5059846 + 1/30481. Find the common denominator of 131/330 and p.
27390
Suppose -3*s - h + 12 = -4*h, 3*s - 33 = -4*h. Let q be (-2265)/14 - (-2)/s. Let w = 2319/14 + q. Calculate the common denominator of 71/24 and w.
168
Let u be 15/(-3) - -5 - (221 + -1). Let q be 6/(-2 + u/(-208) + 1). Suppose -4*l = 4*l - q. Calculate the common denominator of 8/5 and l.
5
Calculate the smallest common multiple of (-74237)/(-35) + (-86)/1505 and 7.
2121
Let x = 228 + -217. What is the least common multiple of x and (-126)/147*(2 + -9)?
66
Let q = 1091/30 + -211/5. Suppose -38*v + 9573 = -29187. Calculate the common denominator of (23/(-2))/(v/100) and q.
102
Let v = 192 - 184. Calculate the smallest common multiple of (-10)/(-4)*8*v/16 and 10.
10
Let d be (-2)/7 + (-435)/21. Find the common denominator of 37/40 and (-12)/d - (-14512)/(-7168).
320
What is the common denominator of -2*(-18)/(-512)*(-70)/25 and -9/640?
640
Suppose -5*a - 1592 = 3*a. Let s = 204 + a. Calculate the lowest common multiple of 148 and s.
740
Suppose -4984*k - 273 = -4997*k. What is the lowest common multiple of k and 228?
1596
Let r(g) = -324*g - 2088. Calculate the smallest common multiple of 144 and r(-12).
3600
Let v(y) = y**2 + 9*y + 12. Let b be v(-6). Let d be -10*(8/(-14) + (-2488)/(-140)). Find the common denominator of d/210 + 4/b and 101/4.
140
Suppose 25 = 4*v + 3*c, -3*v - 12 = -4*v + 5*c. Suppose -y + v*y = 174. Let n = -275 + 279. Calculate the lowest common multiple of n and y.
116
Let x = 81067/9976 + -3/2494. Find the common denominator of -117/14 and x.
56
Find the common denominator of (-5440)/2400 - (-4)/24 and 13/(-10)*3/5.
50
Suppose 17*f = -47*f + 14*f + 12600. What is the smallest common multiple of f and 99?
2772
Calculate the common denominator of -25/333 and ((-3)/3105)/(360/11700).
15318
Suppose 3*a + 4*a = -77. Let v be (-17 - a)*(-4)/(-6). Calculate the lowest common multiple of 30 and (21/v)/(4/(-16)).
210
Suppose -193*p + 11*p + 71344 = 0. Calculate the smallest common multiple of p and 40.
1960
Let f = 320411/6 + -53249. Let m be (6 + (-6362)/14)*2/6. Let b = f + m. What is the common denominator of -75/4 and b?
28
Suppose 18 = 3*d - 3*n, -5*d - n + 67 = 25. Find the common denominator of 61/40 and (-642)/d*(-4)/(-36).
120
Let x = -396/49 - -38649/4655. Let k = 2373913/1014450 - 2/20289. Find the common denominator of k and x.
950
What is the least common multiple of 1456 and (-23 + 9)/(1/(-5))?
7280
Let s(g) = -g**3 + 19*g**2 - 9*g + 11. Let f be s(17). Let z = f - 394. What is the lowest common multiple of 12 and z?
84
What is the common denominator of (-29)/18*(-2)/(-3) and -3 + (2 - (-230)/(-12))?
54
Let k be (-4 + 16838)/((-17412)/10). Let o = k - -2/1451. Find the common denominator of 1638/140 - 14 - (-10)/(-2) and o.
30
Suppose 484 + 4716 = 26*z. What is the least common multiple of z and 112?
2800
Find the common denominator of (-33)/22 + 278/36 and ((-7)/12096*-16)/((-2)/(-340)).
54
Let v = 719813/18 - 39984. Find the common denominator of v and 63/(-16) + (-2)/4.
144
Let j = -1197775/56 + 21388. What is the common denominator of j and -81/140?
280
Suppose 738*j - 733*j = 3*g - 243, 3*j = 7*g - 489. Suppose 0*c + 4*c - 149 = -f, 5*c = 3*f + 165. What is the lowest common multiple of c and g?
396
Calculate the common denominator of (-6417)/46*33/(-550)*5/(-18) and -75/8.
40
Let f = -1670497/79 + 21145. What is the common denominator of (-53)/6 - (-26 - -23) and f?
474
Let p = 357 + 702. Calculate the least common multiple of p and 3.
1059
Let j be 116/(-16) + 3/(-4). Let v be 13/((1 - -1)/(-4)). Let l = j - v. Calculate the least common multiple of l and 4.
36
What is the least common multiple of 4 and (3/15)/((-51)/(-85))*(-93)/(-1)?
124
Suppose s - 1 = -2*a - 23, 0 = 3*s + 3*a + 63. What is the common denominator of (-2 + 35)/(6/(-4)) and (145/s)/((-24)/32)?
3
Suppose 5*l - a = 99, -4*l - 4*a + 8*a = -92. Suppose -23*s + l + 73 = 0. Calculate the lowest common multiple of (-2 - -4)*-1 - -38 and s.
36
Let l = 952621/281757 - 2/40251. Find the common denominator of l and -65/14712.
102984
Let q = 4855681/240 + -20232. Calculate the common denominator of -35/6 and q.
240
Let b = -476 + 460. Calculate the lowest common multiple of ((-48)/(-14))/((-3)/(-21)) and b/(-12)*-20*18/(-48).
120
Let i = 4107665/374 + -10983. Calculate the common denominator of 37/374 and i.
374
Suppose 2*s = -3*k - 1, -15*k = -19*k + s + 6. Calculate the common denominator of k - -5 - (-894)/(-48) and 85/54.
216
Let k = -58 + 76. Calculate the lowest common multiple of 2 and 16 - k - (-3 - 13).
14
Suppose -910 = -107*b + 102*b. Calculate the least common multiple of b and 7.
182
Let b be 10 + -4 + 9/3. Let p be ((-63)/(-28))/b + (-43)/(-4). What is the common denominator of ((-23)/(-12) + -2)/(p/1045) and 38/3?
12
Suppose 2*k = 5*k + 282. Let q = -92 - k. Calculate the least common multiple of 4 + (-6 - (4 + -7)) + q and 10.
30
Let p be ((-64854697)/(-29822))/(20*479). Let f = 1/49816 + p. Calculate the common denominator of f and -31/35.
1295
Let m = 7358 - 5194. Let a be m/14 - 8/28. Let r = a + -2053/14. Calculate the common denominator of r and 67/16.
112
Let s = -486 - -483. Find the common denominator of -89/24 and (-81)/s*-1*(-33)/180.
120
Let z = -1394 + 911. Let m = -411 - z. Calculate the lowest common multiple of m and 36.
72
Let u = -87068 + 27426449/315. Calculate the common denominator of 173/420 and u.
1260
Let n(p) = -11*p + 22. Let w be n(2). Suppose w = 22*v - 203 - 501. Calculate the lowest common multiple of 2 and v.
32
Let p(v) = -57 + 13*v**2 + v**3 + 9*v**2 - 24*v - 16*v**2. Calculate the lowest common multiple of 9 and p(-8).
63
Let l = -6357 + 57151/9. Let n = -58697/3069 - -5/341. Let a = -1282/63 - n. What is the common denominator of a and l?
63
Let o be 11 + -13 + 0 + 0. Find the common denominator of (-6 + 399/10)*o/(-18) and ((-237)/15)/(4/5).
60
Let s = -177667/18 - -9876. Find the common denominator of s and -2 - (5898/(-2968) - 0).
13356
Let n(t) = -35*t**2 - 667*t + 40. What is the smallest common multiple of n(-16) and 292?
1752
Let v = -14721 - -14729. Let t be (-1 + 2)/(3/15). Calculate the least common multiple of v and 44/t + 3/15.
72
Let v(n) = n**2 - 18*n - 174. What is the least common multiple of 620 and v(-7)?
620
Let z(n) = n**3 + 14*n**2 + 29*n - 48. Let k be z(14). Let b = k - 105335/18. What is the common denominator of -13/45 and b?
90
Suppose t + 1 = -v, -5*v + 2*v + t = -1. Let y(c) = 3*c**2 - 2*c + 233. Let a be y(v). Let q = -773/3 + a. Find the common denominator of q and 109/42.
42
Let c = -125 + 67. Let z = c - -94. Suppose -2*f = 4 - z. What is the least common multiple of f and 22?
176
Suppose -15*s - 9 = -16*s, -g = -4*s - 12102. Calculate the lowest common multiple of g and 6.
12138
Suppose 0 = 5*s + b + 6, 3*s = 2*b + 3*b + 2. What is the common denominator of -1 + s/(-18)*91 and 0 + 4 - 1432/96?
36
Suppose 0*j + 15 = -5*j, 0 = 5*y + 3*j - 141. Suppose -864 = -4*p - 4*u, -4*u = y*p - 33*p + 620. Calculate the lowest common multiple of p and 4.
212
Suppose -3*f = f - 2640. What is the lowest c