
Suppose -o = -5*o + 8. Find the common denominator of (679/(-868))/(o/4) and -99/16.
496
Let b be (-9)/54 + 23/(-6). Calculate the common denominator of (-12)/(-48) + (-70)/(-12) and ((-9)/27)/(b/266).
12
Let b = -6 - -10. Let f be 2/b + 7/2. Suppose 0*q + 48 = f*q. What is the least common multiple of q and 20?
60
Find the common denominator of (-5 + 738/132)*-3 and 25/46.
506
Let w = 2719 + 4365. Let v = 56759/8 - w. Calculate the common denominator of -43/37 and v.
296
Let g = -23 + 6. Let p = -39 - g. Calculate the common denominator of (-3)/(-2) + (-12)/p and 11/8.
88
Suppose 24 = 17*k - 19*k. Calculate the lowest common multiple of 8/(-2)*k/16 and 10.
30
Let l = -2/3325 + -236738/3325. Let d = l + 5379/70. Find the common denominator of d and -35/2.
14
Find the common denominator of 73/42 and ((-222)/(-20))/(3186/(-295)).
252
Let f = -7716/35 - -1611279/7315. What is the common denominator of -3/76 and f?
836
Suppose 2*m = -2 + 26. What is the least common multiple of m and 21 - ((-76)/19 + 1*3)?
132
Let k = -3217031/1044 - 43840/261. Let o = k - -3258. Let a = 5702/7 - 44923/56. What is the common denominator of o and a?
24
Calculate the common denominator of 34/13*30/24 and -65/4.
52
Find the common denominator of (-3315)/170*2/336 and 25/154.
1232
Let w = -107258 - -1178992/11. Let i = w + 4363/44. What is the common denominator of i and -34/3?
12
Calculate the common denominator of 870/(-180) + 6/(-10) and ((-17)/14)/(6/(-4)).
210
Let v be (-2)/((-2)/(-3 - -2)). Let w be 130/16 + v/8. Let s(z) = -z**3 + 8*z**2 + 4. What is the smallest common multiple of s(w) and 8?
8
Let q(z) = -z**3 - 6*z**2 + 6*z - 3. Let v be q(-7). Suppose -4*i + v = -12. Suppose u - i*u = -24. Calculate the lowest common multiple of u and 9.
72
Let k = 50/249 + -17197/81921. Let b = -3565/5922 + k. Find the common denominator of b and (-1)/(-5)*(-45)/(-22).
198
Suppose i + 3 = 9. Let v = 8 - i. What is the common denominator of (v/(-6))/(4/146) and 89/20?
60
Let z = 17 - -511. What is the smallest common multiple of 12 and z?
528
Suppose -2*z - z = 5*a + 196, -2*a = 10. Let l = -132 - z. What is the common denominator of -53/4 and ((-28)/147)/((-2)/l)?
28
Suppose -129*s = -103*s - 2184. Calculate the lowest common multiple of s and 84.
84
Let g = 61/58 + 1141/87. Let a = -116/3 + g. Find the common denominator of (1845/(-30))/41*(-113)/(-21) and a.
14
Suppose -5*z - 4 = -3*n, 0 = 3*z - n + 4*n + 12. What is the common denominator of z/(-8)*(-415)/(-10) and 1*74*(-4)/24?
24
Let u = 75 - 81. Find the common denominator of 83/4 and 1 - (u/(-4) + (-6)/27).
36
Suppose 0 = -14*g + 11*g. Suppose -2*y - 2*i + 6 = g, 5*y - 13 = -3*i + 12. Calculate the smallest common multiple of y and 9.
72
Let y = -72564379/248 - -292605. Let j = 21/31 + y. Find the common denominator of (2/60)/(14/1407) and j.
40
Suppose 0 = 5*i - 2*t - 38, t + 4*t = -5*i + 10. What is the smallest common multiple of 61 and i?
366
Let q be -60*(-2 + 4/6). Suppose 34*p - q = 29*p. What is the least common multiple of 16 and p?
16
Let d = -1487 + 1550. What is the lowest common multiple of d and 147?
441
Let x be ((-92)/28 - -3)*-7. Suppose -2*s + x = -8. Suppose 5*m + 18 = 4*h, 5*h + m - s*m - 18 = 0. What is the least common multiple of 16 and h?
16
Let h = -10/739 + 52669/14780. Let v = 1563/182 + -29/13. Calculate the common denominator of v and h.
140
Let g be 1*8 - 16/4. What is the smallest common multiple of 4 and -10*(g/(-14) - 25/35)?
20
Calculate the lowest common multiple of (-10)/(-6)*(-12)/(-5) and 40.
40
Let p = 826 - 871. What is the common denominator of p and -27/14?
14
Suppose -5*n = -4*n - 20. Calculate the smallest common multiple of n and (0 + -1)*(9 - (-105)/(-5)).
60
What is the lowest common multiple of 2/((-2)/(-65)) - (-18 - -11) and 832?
7488
Suppose 0 = 67*m - 66*m - 1037. What is the common denominator of (m/(-90) + 2/9)*-1 and (-536)/48*6/8?
40
Let h be (-1 - 22*5)*-2. Suppose 4*x - 138 = 2*d, -3*d + 0*d + x - h = 0. What is the common denominator of (-9)/6 - 455/d and 9/22?
330
What is the common denominator of (-650)/150*(-21)/(-444) and 47/14?
3108
Calculate the common denominator of 19/3 and 1 + 3 + -4 - 64/(-42).
21
Let w = -150 - -278. What is the common denominator of ((-176)/w)/(4/10) and 161/78?
624
Find the common denominator of 128/18 - 6 - -4 and -101/18.
18
Suppose 2*b = 4*b - 28. What is the least common multiple of 7 and (-4)/b - ((-148)/28 + -3)?
56
Let o(x) = -5*x**2 - 3*x + 4. Let l be o(-8). Find the common denominator of (-5)/10*1*l/(-6) and 39/4.
12
Let w = -409 + 760. Find the common denominator of 50/17 and (w/30)/(-13) - (1 - 1).
170
Let f = 133589/20 + -6678. What is the common denominator of 31/35 and f?
140
Let n = 1795/4 + -425. Find the common denominator of n and 31/4.
4
Let z(l) = 103*l**3 + 3*l**2 - 5*l. Let b(c) = 103*c**3 + 2*c**2 - 4*c + 1. Let o(u) = 3*b(u) - 2*z(u). What is the least common multiple of 14 and o(1)?
728
Let b = 161651/4974 - -2/2487. What is the common denominator of 31/54 and b?
54
Let z(i) = i**2 + 5*i - 2. Let j be z(-4). Let y be 100/30 - 4/j. Suppose y*x = d + 57, -2*x + 265 = -4*d + 79. Calculate the common denominator of 8/3 and d.
3
Suppose -4*v - f - 669 = 0, -f - 4*f + 687 = -4*v. Let g = -669/4 - v. Find the common denominator of 16/9 and g.
36
Let p = -120537/25366 - 24/1153. Calculate the common denominator of p and 5/2*11/55.
22
Let r = -308 + 328. What is the smallest common multiple of 75 and r?
300
Let y = 2449/6105 + 14/111. Let n = 4/5 - y. Let w = -3/2291 - -64181/25201. What is the common denominator of w and n?
11
Let g = 17 - 23. Calculate the common denominator of 3/5 and -10*(78/108 - (-2)/g).
45
Suppose 0 = 4*c - 4*u - 28, -3*c - 3*u + 7*u = -23. Calculate the least common multiple of c and 25.
25
Calculate the common denominator of -51/44 and -4 - ((-84315)/1000)/21.
2200
Find the common denominator of (-5)/((-3)/66*-16 + -1) and 5/32.
96
Let c(l) = -2*l. Let o be c(-6). Let b be o/(-2 + -2) - -7. Suppose 5 = 3*w + j, 3 = 5*w + b*j - j. Calculate the smallest common multiple of w and 6.
6
Let j be ((-85)/(-20))/((-1)/(-8)). Suppose -6*x + 52 = -5*x. Let h = x - j. What is the smallest common multiple of 22 and h?
198
Suppose 2*a = 2*d - 0*d - 8, 0 = -4*a - 4. Calculate the smallest common multiple of 6/(-2) - (-14 + d) and 10.
40
Suppose 5*z + 85 = -365. Let b be (4 - 3)/((-3)/z). Suppose 3*j = -3*v - 0*j + b, 5*v - 50 = -3*j. Calculate the smallest common multiple of 8 and v.
40
Calculate the smallest common multiple of (36/(11 + -5))/((-3)/(-27)) and 117.
702
Let b = -41 - 19. Let v = -28 - b. Let h(z) = 19*z**2 + z. Calculate the lowest common multiple of v and h(1).
160
What is the common denominator of ((-270)/(-1215))/(-2 + (-47)/4) and 97/110?
990
Suppose 64 - 16 = 3*k. Let j be (-4)/(-14) + (-332)/(-14). Suppose -5*r + 60 = -5*l, -2*r = -r - 4*l - j. Calculate the lowest common multiple of k and r.
16
Suppose -3*a + 13 = 2*v, -4*v + 4 = 3*a - 13. Suppose 0 = -2*p + 2*x + 6, p + x + v*x = -5. Calculate the least common multiple of p and 13.
13
Let h = 185917/445740 + -273/1292. Find the common denominator of 55/24 and h.
2760
Suppose 5 = 4*c + c. Let r be (-57 - 9)*3/2. What is the common denominator of ((-2)/(-8))/(c/r) and -59/9?
36
Let c = -786104/19 - -188539313/4560. Let w = 373/15 + c. Calculate the common denominator of -49/18 and w.
144
Let s = 60567/16 - 3789. Find the common denominator of 45/4 and s.
16
Let h = 450 + 98. What is the smallest common multiple of 18 and h?
4932
Let u be 3 - (887/(-898))/((-324)/984). Let i = u + 497011/193968. Find the common denominator of i and -83/8.
16
Suppose 4*k + 49 = 5*s, 5*k - 24 = -3*s + 2*k. Calculate the lowest common multiple of 19 and s.
171
Calculate the common denominator of 12/(-21) + (-24)/560*-298 and 76/2127.
10635
Let k = -17 + 16. Calculate the common denominator of -23/16 and 182/(-224) + 3/k.
16
Suppose -3*y = -4*u + 1314, 0 = -3*u + 5*u - 5*y - 664. What is the least common multiple of 6 and u?
654
Let x = -1/9181 - 376413/73448. Calculate the common denominator of x and (-74)/(-4) - (-2)/4.
8
Let r = 735 - 730. What is the smallest common multiple of 15 and r?
15
Let d = -1149 - -1153. Suppose -14 = -4*k + 10. Cal