 = 1/10 - h. Find the common denominator of -77/20 and k.
20
Suppose -52 = -5*d - 4*w, 3*d + 506*w = 508*w + 18. Calculate the smallest common multiple of (1 - 2)/(0 + -1) and d.
8
Let w(v) = -3*v - 71. Let b(g) = -2*g - 68. Let a(z) = 7*b(z) - 6*w(z). Find the common denominator of a(17) and 30/11.
11
Let g be (-13261194)/567 + 4/(-18). Let z = g + 3301889/140. Let q = 1093/5 - z. What is the common denominator of -45/28 and q?
28
Suppose 0 = 4*k - 0*k - 144. Suppose 9*s + 175 = 12*s - 5*r, -5*s + r = -299. Calculate the least common multiple of k and s.
180
Calculate the smallest common multiple of 13 and -6 - (5 + -8 + 2 + -9).
52
Let x be -14723 + (4 - 1) + -1. Let p be (-2*x/(-112))/(15/1018). Let l = 17835 + p. Calculate the common denominator of 31/6 and l.
60
Let n(v) = -2*v + 39. Let w = 35 - 23. Let r be n(w). Find the common denominator of ((-14)/21)/(7/r) and -2/49.
49
Let d be (5/2)/((-1)/2). Let i be (-9 - -7)/(-5 - 3/(-1)). What is the common denominator of (-36)/d - 2/(-4) - i and -53/9?
90
Suppose 21*n - 23 = -2*z + 24*n, -4*z + 4*n + 36 = 0. Suppose -4*i + z = -2*i, -4*q = 4*i - 36. Calculate the smallest common multiple of 7 and q.
7
Let l be ((-3)/(15/(-145)))/((-2)/(-4)). Suppose l - 64 = -y. What is the least common multiple of (-2)/(-2 + 1) - -2 and y?
12
Suppose 0 = 3*p - 0*p + 2*g - 244, -5*g = 3*p - 250. What is the smallest common multiple of p and -7*12*21/(441/(-42))?
1680
Let d(j) = -2*j**2 - 11*j + 8. Let r be d(-6). Suppose 3*u - r = 4. What is the smallest common multiple of u and 12?
12
Let q be (84695/12099 - 5) + (-1 - 1). Let a = -834911/483960 + q. What is the common denominator of a and -33/16?
80
Let k = 9541 - 6241. What is the least common multiple of k and 18?
9900
Let t be -74*(-1)/8*-4*-193. Let m = 128497/18 - t. Find the common denominator of 59/18 and m.
18
Let g(w) = w**3 + 35*w**2 + 34*w - 13. Let m be g(-34). What is the common denominator of 39/8 and ((-329)/(-94))/(5/m) + 0?
40
Let x be (-9874)/(-66) + 16/(-48) - 2. Let m = x + -23241/154. Calculate the common denominator of -79/80 and m.
560
Suppose -154*a - 157*a + 960 = -308*a. Calculate the least common multiple of 5120 and a.
5120
Let t(p) = 5*p - 80. Let x be t(17). Suppose 2 = -2*h, -x*h = -5*g + 67 + 88. What is the smallest common multiple of 6 and g?
30
Let j(v) = -2 - 5 + 3*v - 6*v. Let z be 60/160 + 204/(-32). Calculate the least common multiple of j(z) and 2.
22
Find the common denominator of (-12 - (-1888)/174) + 0 + 2/4 and -58/213.
12354
Suppose -3*r - 4*s + 1221 = 0, 4*r - 2*s = -s + 1628. What is the least common multiple of 11 and r?
407
Let h = -67795/438 + 464/3. Let a = -1532383/8338 - -314/379. Let o = 183 + a. Calculate the common denominator of o and h.
1606
Let b = 93 + -9. Calculate the least common multiple of b and 2/((-2 - (-40)/22) + 112/132).
84
Let u = 1401 + -165315/118. Find the common denominator of u and ((-2)/70)/((-24)/1980).
826
Find the common denominator of (-30)/(-103400)*485 - (-7)/(-28) and -131/396.
18612
Let t(z) = -26*z - 12. Let o be (-2 + (-5)/(-10))/((-2)/(-4)). What is the smallest common multiple of 24 and t(o)?
264
Let c = -2 - -12. Let a = -73 + 76. Suppose 4*k - 6 = a*v + k, 2 = -3*v + 2*k. Calculate the smallest common multiple of c and v.
10
Suppose 0 = 29*w - 4257 - 17232. What is the least common multiple of w and 30?
7410
Let u = 256 + -248. Calculate the least common multiple of 384 and u.
384
Suppose -236*y = 374*y - 78*y - 3724. What is the least common multiple of 375 and y?
2625
Suppose -4*q + 238 = 4*n - 6*n, 9 = n. Suppose p + 39 = 2*r + 5, 0 = -4*r - 3*p + 58. What is the smallest common multiple of q and r?
64
Let x be (-12)/((-11)/(693/(-14))). Let s = 67 + x. Calculate the smallest common multiple of 8 and s.
104
Let p = 346468 + -504457437/1456. Calculate the common denominator of 83/42 and p.
4368
Calculate the common denominator of 1/(-2) + (-447)/(-990) and ((-624)/5)/3*5968/393888.
165
Suppose 2220 = 4*b + 2*x, 4*x + 2220 = 4*b + x. Let s = b + -465. Calculate the lowest common multiple of s and 50.
450
What is the common denominator of -101/312 and 0 + -4 - (278882/(-20064) - 5*-2)?
6864
Let v(s) = 2*s**3 + 2*s**2 + s + 2. Let q be v(-2). Let l be (-3)/3*(-1)/((-2)/q). Suppose -l*f + 12 = -12. What is the smallest common multiple of f and 6?
6
Let t = 1/13160 + -371773/39480. Let r = 2669 + -26801/10. Find the common denominator of r and t.
60
Suppose -20 = -4*j, 0 = -3*g - 4*j + 29. Let y be 11/g + (-4)/(-3). What is the common denominator of 63/44 and (y/165)/((-8)/204)?
44
Let q = 220 + -146. Let l(c) = -9*c - 17. Let z be l(-8). Let v = q - z. Calculate the lowest common multiple of v and 3.
57
Let v(t) = 40*t - 1138. Calculate the least common multiple of 36 and v(64).
2844
Let x = -133/947 + -21463/204552. Calculate the common denominator of -11/144 and x.
432
Let j = 17 - 12. Suppose 0 = 71*n - 1122 + 412. What is the lowest common multiple of n and j?
10
What is the common denominator of 3312/7630 + 560/(-1400) and -54/5?
3815
Calculate the least common multiple of (180/135)/((-14)/(-147)) and 66.
462
Suppose 0 = 4*h + 4*r, 0 = 47*h - 50*h + 3*r. Suppose h = -8*t - 14 + 38. Calculate the lowest common multiple of 8 and t.
24
Let t(i) = -2*i**2 - i + 2. Let f be t(2). Let v = -1817947/8 - -227253. Find the common denominator of (-9)/(-4) - 2/f and v.
8
Suppose -79*l + 6549 - 821 = -1224. What is the least common multiple of 1749 and l?
13992
What is the common denominator of -14/359 and 21*(-360)/1176 + (-8)/(-2)?
2513
Let w = -407/6 + 58. Let k = 14187561299/516 - 27495283. Let g = -7/86 - k. Find the common denominator of g and w.
12
Let v = -425025 - -3386739/8. Let h = 1678 + v. Calculate the common denominator of -33/16 and h.
16
Suppose -2*t - 5*y = -45, 5*t + 2*y - 3*y - 45 = 0. Let k = 31 - 29. Calculate the least common multiple of k and t.
10
Suppose 163 = 8*q + 67. Suppose -4*p - q = -6*p. Calculate the common denominator of ((-164)/42)/((-1)/(p/(-16))) and 79/32.
224
Let s = 4/35 + 523/630. Suppose 0 = -5*m - t - 32690, 3*m - 6*m = 3*t + 19626. Let k = -91613/14 - m. Find the common denominator of s and k.
126
Let v(g) = -14*g - 22. Let y(z) = -6*z. What is the lowest common multiple of v(-2) and y(-8)?
48
Let x = 1272158/63 + -20192. Let t = -3870813/70 - -55299. Find the common denominator of t and x.
630
Let v = 118/27 - 545/378. What is the common denominator of v and (138/(-18))/(2/(-3))?
14
Let r = -267464/65 + 4115. Find the common denominator of 64/45 and r.
585
Let w(n) = -26*n - 15*n**2 + 8*n**2 + 9*n**2. Let t(u) = 3*u**2 + 17*u + 8. What is the smallest common multiple of w(14) and t(-7)?
252
Let t(l) = l**3 - 4*l**2 + 2. Let o be (9/(-5) - -1) + 2236/(-5). Calculate the lowest common multiple of (-55)/(-8) + 1 + (-56)/o and t(4).
8
Let d(s) = -30*s**3 - 35*s**2 - 133*s + 5. Calculate the least common multiple of 3 and d(-5).
10635
Calculate the lowest common multiple of 821/2 + 14*30/840 and 9.
1233
Let l = -11389 - -17668. What is the least common multiple of 24 and l?
50232
Let u(j) = j + 8. Let q(t) = -3*t - 15. Let k(c) = 4*q(c) + 10*u(c). Let h be k(-5). Calculate the common denominator of 76/27 and (-26)/h*15/6.
54
Let d(k) = k**2 - 13*k - 28. What is the least common multiple of 28 and d(-8)?
140
Calculate the common denominator of ((-51417)/696 - -69)*4*22/(-1836) and 179/3060.
3060
Let f be 4/(-26) - -1*12044/(-130). Let m = 8766/95 + f. Let g = m + -511/76. What is the common denominator of g and -33/5?
20
Let a(o) = 4*o + 14. What is the least common multiple of (5/25)/((-13)/(-130)) and a(-2)?
6
Let a(w) = -w**3 + 9*w**2 + 12*w - 13. Let o be a(10). Suppose 2*i = 3*r - 14, o + 3 = 3*r - 4*i. What is the least common multiple of r and 24?
24
Let i(b) = 2*b**2 + 18*b + 61. Let n be i(-5). Suppose 3*v - v + 5*x = -7, -3 = -3*v - 3*x. Calculate the common denominator of (n/4)/((-30)/v) and -19/16.
80
Let q(g) = 6 + 3*g**3 + 6*g + 7*g**2 + 0*g**3 - 2*g**3. What is the lowest common multiple of q(-3) and 63?
504
Let p(u) = -8*u**2 + 1726*u + 22*u**2 - 170 - 1718*u + 62 - u**3. Let v = 12 - -40. Calculate the smallest common multiple of p(14) and v.
52
Let w = -7618516/1261065 - -1178/195. Let g = w - -937727/38802. Calcula