?
21
Suppose 12*t + 3232 = 19612. Let j = 14529 - 31737/2. Let y = t + j. What is the common denominator of y and 32/5?
10
Let w = -23253/10 + 2330. Calculate the common denominator of (-49)/102*(-3)/2 and w.
340
Let d be 1/((-12)/9 + 1). Let s = 3 + d. Let b = s - -11. Calculate the least common multiple of b and 2.
22
Let d = -4490/3 - -224203/150. What is the common denominator of d and -47/15?
150
Suppose 4*x + 28 = 8*x. Let v = -88 + 98. Calculate the lowest common multiple of (-7)/(-7) + v + -1 and x.
70
Suppose 3*v - 3*h + 7729 = h, -7739 = 3*v + h. Let t = -20589/8 - v. Calculate the common denominator of t and -89/22.
88
Suppose 8 = 5*k + 2*a - 15, -3*k + 3*a = -18. Let q = k + -4. Suppose 4*t - 6 = 38. What is the least common multiple of q and t?
11
Let b = -332401/24 - -13845. Calculate the common denominator of b and -151/42.
168
What is the common denominator of (20218/(-2960) - (-8)/(-40)) + 7 and -13/20?
1480
Let c = 1540/513 - 91/27. Calculate the common denominator of c and 43/69.
1311
Let c be ((-3)/(-7460))/((-825)/(-8485090)). Let x be 2/(37306/(-6) + 1). Let z = c - x. What is the common denominator of z and 97/20?
220
Let d = 104 - 64. Calculate the lowest common multiple of (3 + -2)/(2/22) and (4/10)/(4/d).
44
Suppose 0 = 45*g - 122 - 328. Let u = 8 - 3. Calculate the least common multiple of u and g.
10
Let l = -523/20 + 27. What is the common denominator of -71/396 and l?
1980
Let o = -6947/11 + 629. Suppose 4*g + 25 = -g. Find the common denominator of 3/g - (-184)/15 and o.
33
Let c be 2/(-9) - 5722/252. Let d = 109/7 + c. Let s = -805 - -9745/12. Calculate the common denominator of s and d.
84
Calculate the least common multiple of 123 - ((-22)/(-3) + 12/(-9)) and 208.
1872
Suppose 0 = -3*y + 21 + 45. Let s = -2 - -7. What is the lowest common multiple of y/(0/(-1) + 1) and s?
110
Suppose 0 = 26*o - 667 - 1153. What is the lowest common multiple of o and 40?
280
Suppose 0 = -5*n - 4*i + 268 - 3029, 2*n + 1082 = 4*i. Let p = n + 1123/2. Let s = -526/13 - -5287/104. What is the common denominator of p and s?
8
Let z = 1/26424 + 541369/8534952. Find the common denominator of z and -19/14.
4522
Let g be 4 + 1/((-15)/(-6894)). Let q = -452 + g. Find the common denominator of 30 and q.
5
Let g = 1081 - 896. Calculate the smallest common multiple of g and 11.
2035
Let j(m) = 3*m - 17. Let l be j(14). Suppose -2*g - 2*r + l = 3*g, 22 = -g + 5*r. Let p = g + 17. What is the lowest common multiple of 2 and p?
20
Let c be (-3)/((-2)/16*2). Suppose -5*u + c + 43 = 0. Let i = -200 + 203. Calculate the lowest common multiple of u and i.
33
Let l = -7/72 + -149/4392. Calculate the common denominator of (59/4)/(15/(-12)) and l.
305
Let p = 55 - -598. Let m = -461 + p. What is the lowest common multiple of (-4)/10 + m/30 and 20?
60
What is the common denominator of (15 - 1) + (-14756)/714 and 10/138 - (-2)/(-6)?
69
Let i = -13 - -20. Calculate the least common multiple of (522/45 + -9)/((-1)/(-5)) and i.
91
What is the common denominator of 43/30 and (-562)/150 + 5*15/25?
150
What is the common denominator of -3 + (8/16)/((-30)/(-199)) and -33/14?
420
Let k(d) = -20*d - 87. What is the least common multiple of k(-6) and 96?
1056
Find the common denominator of (1379/(-30))/7 + (-408)/(-51) and -79/195.
390
Let a(z) = -z + 12. Suppose -4*i - q = -98, -q - 4 + 2 = 0. Suppose -i = 3*g - 8*g. What is the least common multiple of g and a(6)?
30
Let p = 3292 + -16302/5. Let g = -409/10 + p. Calculate the common denominator of g and 1/8.
40
Let v be 2 - (1 + -2)*1. Suppose 0 = -4*x + 5 + v. What is the lowest common multiple of 8 and x?
8
Let p = 2 - -1. Let r be ((-2)/2)/(1/(-340)). What is the least common multiple of r/15 + (-2)/p and 14?
154
Let a = -4 - -6. Suppose a*u - 3 = 3*p + 5*u, -2*p - 5*u - 17 = 0. Calculate the least common multiple of 48 and p.
48
Find the common denominator of -29/18 and -1 + 2 + 2021/(-1880).
360
Suppose -32 = -l - 3*l. Suppose 0 = -4*b - 12 + 148. Suppose -6*x = -x - 2*a - 62, 0 = -3*x - 2*a + b. Calculate the smallest common multiple of x and l.
24
Let w(f) = -5*f**3 - 4*f**2 - 12*f. Let q(s) = -2*s**3 - s**2 - 4*s. Let u(c) = -7*q(c) + 2*w(c). Calculate the lowest common multiple of 30 and u(2).
180
Let s = -1426/9 + 157. Let z = 110093/6 - 18371. What is the common denominator of s and z?
18
Suppose 0 = g + m - 22, 4*m - 8*m = -4*g + 88. Let j = 24 - 27. Calculate the smallest common multiple of g and j/5 + (309/15)/1.
220
Suppose 4*v + 78 = -2*y + 216, 2*v - 5*y - 99 = 0. Let b = -18 + v. Calculate the common denominator of -20 and b.
1
Let l = 526918/603735 + -2/54885. Find the common denominator of 26/45 and l.
495
Let z = 153 - 80. Suppose -3*s - 10 = -z. Suppose 88 = 25*x - s*x. Calculate the lowest common multiple of 10 and x.
110
Let l = -1247/119 + 64/17. Let f = -22/7 - -79/14. What is the common denominator of l and f?
14
Calculate the common denominator of ((-2)/(-10))/(304/1008) and -5/3.
285
Let j = -1585/11946 + -2/543. Let o be 2 - -3 - (1 - (-59082)/14771). Let h = o - 1432803/118168. What is the common denominator of j and h?
88
Let c = -64 - -88. Suppose -c*o + 10*o + 140 = 0. What is the smallest common multiple of o and 16?
80
Let l be 22 + (0 - (-1 - -5)). Suppose 40 - l = x. Let h(o) = o**3 - 8*o**2 + 10*o - 1. What is the lowest common multiple of h(7) and x?
220
Suppose -16*t = -123 + 43. Calculate the lowest common multiple of t and 984.
4920
Calculate the least common multiple of 300 and 3 + -5 + (4 - (4 + -227)).
900
Let l(b) = -88*b**2 + 3*b + 1 + 91*b**2 - b. Calculate the lowest common multiple of 3 and l(2).
51
Suppose -2*h = -3*j + 72, 3*h = 3*j - 0*j - 75. Suppose -14 = -3*q - 3*g + 10, 0 = 2*q - 2*g. What is the lowest common multiple of q and j?
44
Let o(v) = -v**3 + 7*v**2 + 21*v - 9. Suppose -74 - 7 = -9*j. What is the lowest common multiple of 10 and o(j)?
90
Let i(h) = 22*h**3 + h - 1. Calculate the smallest common multiple of i(1) and (2 - (-2 - 22)) + -4.
22
Let d = -38433 - -576971/15. Let u = d - 100/3. What is the common denominator of u and -11/3?
15
Let s = 77 + -337/4. Let w = 34 + -18. What is the common denominator of s and 3/9*(-3)/w?
16
Suppose -143 = -63*k + 46. Calculate the smallest common multiple of 21 and k.
21
Suppose 180 = -0*u + 12*u. Suppose 27*p - u*p = 264. What is the least common multiple of p and 20?
220
Let l = 11 - 8. Suppose l*a - 4*d = -26, 0 = -3*a - 2*a + 3*d - 36. Let v = a + 18. What is the smallest common multiple of v and 4?
12
Calculate the common denominator of 834/198 - (-2 + 6) and 91/24.
264
Let o(g) = 2*g**3 + 20*g**2. Let i be o(-10). What is the common denominator of (-42)/245*((-160)/6 + i) and -41?
7
Let a = -949439/280 - -16964/5. What is the common denominator of a and 51/40?
280
Let q = 73023/26 + -2809. Find the common denominator of 59/26 and q.
26
Let k = 3065 + -1202. Let b be -5 - 1/(-1 + 0). What is the common denominator of k/(-315) - b/(-14) and -29/6?
30
Let l = 32 + -2. Let q = l + -25. Suppose 3*r + 24 = 7*r + q*i, -4*r + 5*i - 16 = 0. What is the least common multiple of 2 and r?
2
Suppose 0 = 11*h - 14*h + 3. Calculate the common denominator of (-15)/(-54)*(298/(-20) - h) and 131/12.
12
What is the least common multiple of 8 and (-21)/(-35) - (-786)/15?
424
Let c = -2310497/99 - -23338. What is the common denominator of -89/8 and c?
792
Let q be 5614/8*(9/1 - 5). Calculate the common denominator of q/(-420) + 3/5 and -94/15.
60
Let v = -8017/6 + 1340. Let w be (-1761)/63 - (-2)/(-6). Let t = w - -481/42. Calculate the common denominator of t and v.
6
What is the common denominator of 372/(-80) - 2/(-10) and 329/1410 + 2/(-30)?
60
Suppose -2*x - 34 = -p, -3*x - 151 = 29*p - 33*p. What is the smallest common multiple of p and 15?
120
Let b = 4076/5 - 219919/270. What is the common denominator of 59/84 and b?
756
Let i = 97 - 214. What is the common denominator of i/520*(-62)/3 and -97/8?
40
Let a = -476 - -564. What is the least common multiple of 176 and a?
176
Let r = 7 + -12. What is the common denominator of -53/8 and (-27)/r*5/20?
40
Calculate the common denominator of -66/95 and (-52 + 32 - (-1 + 1)) + -5.
95
Let k(l) = l**3 + 4*l**2 - 3*l - 6. Let n = 49 - 43. Let m(w) = -w + 11. Calculate th