common multiple of 2 and (-1)/(u/(-2) + 1)?
2
Suppose -4*p = -8, 2*b = p - 3*p - 8. Let w = 1008 + -3058/3. What is the common denominator of w and (238/b)/(2 + 0)?
6
What is the smallest common multiple of (4*(-11)/5)/((-1)/5) and 1/(1/20)*(-54)/(-45)?
264
Let a = -293 - -295. Calculate the smallest common multiple of 736 and a.
736
Let r(m) = 13*m + 283. What is the lowest common multiple of 7 and r(-18)?
49
Let k = 2597 - 1644. Let z = 7663/8 - k. Find the common denominator of 53/8 and z.
8
Suppose -122*o + 99*o = -138. Suppose -2*p - 4*y = 22, 7*y + 21 = 4*p + 2*y. What is the lowest common multiple of (p - 34/10)*-5 and o?
66
Suppose m = 3*v + 127, -7*m + 4*m = -3*v - 363. Calculate the lowest common multiple of m and 10.
590
Suppose 6*s - 64 = 2*s. Suppose 33*f = -35*f + 952. What is the least common multiple of s and f?
112
Let t = 16/153 + 9319/3060. Let x be (-3316)/(-20) - 2/(-10). Find the common denominator of t and ((-12)/8)/((-6)/x).
20
What is the common denominator of -67/40 and (-981)/72*((-427)/85 + 5)?
680
Let o = 87 - 88. Calculate the common denominator of (o - 168/(-81)) + -1 and 32/81.
81
Let v = 89677 - 6277247/70. Calculate the common denominator of v and -37/26.
910
Suppose -5*j + 9 = -2*i, -3*i + 0*i - 4*j = -21. Suppose -8 - 13 = -y. Suppose -i*k = -0*k - y. What is the lowest common multiple of 7 and k?
7
Let r = 58 - 33. What is the common denominator of r and (13/(-26))/(4/(-62))?
4
Find the common denominator of -151/36 and 1/4*984/(-3216).
4824
Suppose -72 = -5*i - 7*i. Calculate the least common multiple of 332 and i.
996
Calculate the smallest common multiple of (-3*(2 + -10))/(6/8) and 76.
608
Let l = 75305/16 - 4704. Let m = -3223 + 12963/4. What is the common denominator of m and l?
16
Let w = -119 + 140. What is the lowest common multiple of w and 39?
273
Let t = 98411394/1183609 + -28368/353. Let j = t + 3/958. Find the common denominator of 145/6 and j.
42
Let j = -9613/2590 + 3/259. Let h = 3387 + -20197/6. What is the common denominator of j and h?
30
Let r = 1808/62205 + -6/319. Let t = -2153/780 + r. Calculate the common denominator of t and 77/26.
52
Let w = 80 + -79. Calculate the smallest common multiple of 118 and (3*w)/(-2 - 66/(-24)).
236
Let p = 151 - 118. Calculate the lowest common multiple of p and 10.
330
Let r(x) = 3*x + 3. Suppose 3*a = -q - a - 2, -q + a = -3. Let p(g) = g**3 - 3*g + 1. Let d be p(q). Calculate the smallest common multiple of r(d) and 4.
12
Let x = 8 + -27. Let p = x - -27. Suppose 2*n = -t, -2*t - t = 2*n - 4. Calculate the lowest common multiple of p and t.
8
Suppose -1 + 11 = 2*h. Suppose h*t = 5*k + 110, -4*k - 34 = -t - 0*k. Calculate the least common multiple of t and 14.
126
Let n(l) = l**2 - 6*l - 8. Let s be n(6). Calculate the common denominator of -53/7 and 165/130 - (-4)/s.
91
Suppose 3*k - 2*u - 91 = 0, -3*k + 6*k - 71 = -2*u. What is the smallest common multiple of 3 and k?
27
Suppose -44 = -5*j - 4*z, j - 5*j = 5*z - 28. What is the least common multiple of 5 and j?
60
Suppose 4 = y + 3*y. Suppose y = 3*f - 4*l - 35, 2*f - 5*l - 31 = 0. Suppose -4*c = -20 + f. Calculate the lowest common multiple of 10 and c.
30
Let a(i) = i**3 + 20*i**2 - 20*i + 30. What is the least common multiple of 6 and a(-21)?
18
Let g = -11261/6 + 1860. What is the common denominator of (-36)/54 - 149/(-12) and g?
12
Suppose 4*v + 14 - 2 = 0, 5*h - 103 = v. Let n = h + -6. Suppose -4*i + 3*g + 2 + 57 = 0, -4*i + 52 = 4*g. Calculate the lowest common multiple of n and i.
14
Let b = -3239 + 3253. What is the lowest common multiple of 46 - (-1 + (0 - 1)) and b?
336
Let p = -75 + 135. Let g = p + -47. Calculate the lowest common multiple of g and 2.
26
Let n = -316959483/14 + 22629176. Let x be (-753)/6*86/1. Let w = x - n. Find the common denominator of w and 13/14.
14
Let b = -53144/9 - -5911. Find the common denominator of b and -79/26.
234
What is the smallest common multiple of 14/10*3120/156 and 268?
1876
Let q be 5 + 9/(12/(-4)). Suppose m + f - 2 - 6 = 0, -q*f + 28 = 3*m. What is the smallest common multiple of m and ((-81)/6)/((-9)/12)?
36
Suppose -21*s + 323 = 113. What is the smallest common multiple of s and 9?
90
Let u(p) = -p**2 + 9*p - 8. Suppose 0 = -2*m + 5*s - 9, -m = -5*s + 2*s + 6. Suppose l - m*l = -14. Calculate the smallest common multiple of 8 and u(l).
24
Let j = -24 + 34. Find the common denominator of 21/(-9) - 7385/840 and (7/j)/((-1)/(-12)).
40
Find the common denominator of 4*3/(-36)*(-119)/4 and -70/129.
516
Let l = -1536 + 1538. What is the least common multiple of l and 393?
786
Find the common denominator of -15/4 and 4/(2/(-1))*38/236.
236
What is the common denominator of 113/18 and (-3)/7 + 2050/504 + -6?
36
Let d(g) = g**2 + 7*g - 6. Let w be d(-8). Let l = 25/28 + -8/7. Find the common denominator of l and (w/3)/(2/(-23)).
12
Let u(w) be the third derivative of -w**6/120 + w**5/60 + w**4/12 + w**3/2 - 24*w**2. What is the smallest common multiple of u(0) and 27?
27
Suppose -v = -1 + 2, -4*k + 3*v = 129. Let c = k + 41. What is the smallest common multiple of c and 22?
88
Suppose -4*d + 128 + 222 = -5*g, -4*g = -2*d + 172. What is the smallest common multiple of d and 60?
180
Calculate the common denominator of 2156/(-84) + 1 + 6 and 25/9.
9
Calculate the common denominator of 8/28 - (-276)/(-329) and 56/9.
423
Let n = -10 + 14. Suppose -f - n = -22. Calculate the least common multiple of f and 10.
90
Let t = 457 + -419. Calculate the smallest common multiple of 19 and t.
38
Suppose -1 + 1 = i. Suppose 4*w = -i*w + 20. Calculate the least common multiple of 26 and w.
130
Let s(t) = 48*t + 529. What is the least common multiple of (-102)/(-12) + 2/4 and s(-11)?
9
What is the common denominator of -72/35 and 8/(-30)*30/210?
105
Let h = -22519/9405 - -226/171. Calculate the common denominator of h and -41/50.
550
Let g(y) = 229*y**2 - 4*y - 7. Let s be g(-5). Let i = -45839/8 + s. Calculate the common denominator of i and -115/14.
56
Let g = -1/4924 - -25544/3693. What is the common denominator of (-13)/65 - (-634)/120 and g?
12
Let l = -30/1033 + -99661/18594. Let j = 463919/274896 + -2/17181. Find the common denominator of l and j.
144
What is the lowest common multiple of (18/10 - 1)/((-94)/(-1645)) and 196?
196
Let w = 1/3871 - -166444/34839. Let p = 727/2 + -3719/10. Calculate the common denominator of w and p.
45
Let i be (0 + 0/2)/(-2). Suppose i = q + 3*q - 56. Suppose -18 = -6*c + 66. Calculate the least common multiple of q and c.
14
Let m = 117661 - 32356728/275. Calculate the common denominator of -77/250 and m.
2750
Let w = 479423/198 - 21560/9. Let q = -28 + w. Calculate the common denominator of q and (-22)/(-11) + (-69)/20.
220
Let s(m) = m**2 - 6*m + 11. Suppose 51*b = 54*b - 3*o - 15, 5*o = -4*b + 29. Calculate the lowest common multiple of s(8) and b.
54
Suppose 4*g + 16 = 3*d, 0 = 3*g + d + 3 - 4. Let m = g - -8/5. Let i = 2179 + -23921/11. What is the common denominator of m and i?
55
Find the common denominator of (-11349)/7436 - (-6)/11 and -113/6.
156
Let g(o) = o**3 + 11*o**2 - 29*o - 31. Calculate the least common multiple of g(-13) and 3.
24
Suppose -31*q = -q - 300. What is the smallest common multiple of 68 and q?
340
Let t(p) = 5*p**2 + 5*p - 13. Let a(q) = -14*q**2 - 15*q + 39. Let f(z) = -6*a(z) - 17*t(z). Calculate the common denominator of -28/27 and f(9).
27
Suppose -5*c + 3*r + 160757 = -0*c, -160729 = -5*c - 4*r. Let m = c + -1350355/42. Find the common denominator of m and 15/40*(-534)/9.
84
Calculate the common denominator of ((-2)/(-24) + (-1 - -1))*(-8568)/(-252) and -1 + (-2)/((-92)/7).
138
Suppose -2*n - 5*g - 8 - 1 = 0, -3*g - 9 = 0. Suppose -n = 5*o - 53. What is the lowest common multiple of (-2)/3 + 17/3 and o?
10
Let p = 15601200 + -34166630303/2190. Let a = p - -50/73. Let t = -179/15 + a. Calculate the common denominator of t and -37/10.
10
Let u = -6034/9 - -675. Calculate the common denominator of u and (194/6)/(4/(-6)).
18
Let u(x) = -x**2 - 11*x - 6. Let c be u(-12). Let k be c/(-24) - 5357/7148. Let j = -41109/14296 + k. Find the common denominator of j and -71/14.
56
Let y(j) = j**3 + 13*j**2 - 91*j - 9. Calculate the lowest common multiple of (-4 - 1)*(-4)/10 and y(-18).
18
Let s = -961 