0)*261521/52. Let z = g + -2008. Find the common denominator of -99/20 and z.
20
Let a be (-30)/(-15)*586/(-36). Let x = a - -8275/234. What is the common denominator of 412/40*(-1)/(-2) and x?
260
Let i = -144/13 + -451/52. What is the common denominator of i and -4 - (-2 - 395/115)?
92
Let j = 1011/115 - 55/23. What is the common denominator of j and -59/33?
165
Let p = 13 - 7. Suppose -3*w - 5*o = -p*w + 28, 2*w - 18 = 3*o. Suppose -36 = -2*j + w. Calculate the lowest common multiple of j and 4.
84
Let k(i) = i + 7. Let p(j) = -j**2 + 10*j + 9. Let t be p(10). What is the least common multiple of 16 and k(t)?
16
Let x = 111/56 - 2335/168. Let y be -3 + 13294/(-12) + 3. Let z = y - -1111. Find the common denominator of x and z.
12
Find the common denominator of 68/55 and ((-3)/(-210))/(10/(-430)).
770
Let r = -7 + 69. Calculate the smallest common multiple of 6 and r.
186
Let l(m) = m**2 - 6*m + 6 + 2 + 11*m. What is the smallest common multiple of 4 and l(-6)?
28
Let a(r) = -4*r + 28. Let m be a(4). What is the least common multiple of (-22)/(-6) + m/(-18) and 6?
6
Let d be (-8)/(-12)*(-9)/(-2). What is the common denominator of 18/5 and 201/6 + -5 + d?
10
Suppose -4*v = d - 12 - 10, 4*v = -3*d + 26. Suppose d*p - 160 = -76. What is the smallest common multiple of 2 and p?
42
Let q be (-501)/(-33) + (-2)/11. Let f = 12 + q. Calculate the smallest common multiple of 21 and f.
189
Let f = -2458 + 19707/8. Calculate the common denominator of f and 53/6.
24
Suppose -4*f = -16, 50 + 2 = 2*y + 4*f. Calculate the least common multiple of y and 72.
72
Suppose -2*f + 6 = f - w, -12 = -5*f + w. Let k be -3*(f + -2) - 2017. What is the common denominator of k/(-15)*(-2)/(-16) and -34/7?
42
Let u = -1418171/30442796 - 5/20081. Calculate the common denominator of -25/4 and u.
1516
Let l be 56/12*24/28. Suppose 0 = l*r - 0*r - 16. What is the smallest common multiple of 6 and r?
12
Suppose 4*n + 2*p = 3*n + 1, -3 = 4*n + p. Let y(f) = 13*f**2 - 1. Suppose -481*d = -494*d + 286. What is the smallest common multiple of y(n) and d?
132
What is the lowest common multiple of 40 and 2 - -2 - (-812)/7?
120
Calculate the common denominator of (-245)/84 + -7 + -2 + 5 and -139/18.
36
Let z be 3 + (-253738)/47956 + 1 + 2. Let x = -1/631 - z. Find the common denominator of -19/22 and x.
418
Suppose -34 = 6*b - 40. What is the smallest common multiple of 10 and b?
10
Suppose -3*i - 2*u + 33 = 0, 4*i - 44 = 3*u - u. Suppose 0 = 4*x - 4*t - 36, -2*x = -4*t - 14 - 12. Calculate the smallest common multiple of x and i.
55
Let v = -1740 + 1753. Calculate the lowest common multiple of 2 and v.
26
Let s(t) = t - 2. Suppose 0 = 2*n - 4*c - 14, 3*n - 2*n - 3*c - 8 = 0. Suppose 0 = -n*r - 4 + 19. Calculate the lowest common multiple of 5 and s(r).
5
Let n(o) = 154*o - 7. Let p be n(14). Let b = -69/41 + -2307/164. Find the common denominator of b and 1/(-3) + p/84.
4
Let v be (-1 + 0)/((-1094)/14). Let b = v + -9397/7658. Find the common denominator of (-3 - 128/(-28))/((-1152)/(-4928)) and b.
126
Suppose 6 - 50 = -4*h. Calculate the smallest common multiple of 18 and h.
198
Let o = 918 - 723. What is the smallest common multiple of o and 143?
2145
Suppose -3*i - 3*z + 3 + 0 = 0, 2*i - 16 = 5*z. What is the common denominator of (-8)/(-132)*i*-8 and -73/10?
110
Suppose -4*z = -4*f - 16, -f - 3*f - 2*z = 22. Let w(t) be the first derivative of t**3/3 + 2*t**2 + 3*t - 5. Calculate the least common multiple of 7 and w(f).
56
Let o = 2514 - 27707/11. Calculate the common denominator of (435/36)/1 + -1 and o.
132
Calculate the common denominator of -85/72 and 26/(-104)*34/(-12).
72
Let c(i) = -16*i + 8. Let z be c(5). What is the common denominator of (-3)/6 - 27/22 and (-984)/z*(18/10)/(-3)?
55
Suppose 4*o - 5708 = 8*o. Let f be 132/7*3815/(-50). Let s = o - f. Calculate the common denominator of 37/7 and s.
35
Suppose -3*z + 10 + 2 = 0. Suppose 7*u - 60 = z*u. What is the lowest common multiple of 2 and u?
20
What is the common denominator of 29/10 and 16/(-104) - 1622/(-234)?
90
Suppose -i + 12 = 3*m, -2*i + 4*m + 6 - 32 = 0. Find the common denominator of (47/i)/(276/18) and -139/18.
414
Let k = -5 + 4. Let i be ((-18)/(-12))/(k/2). Calculate the smallest common multiple of 14 and 2*i/18*-6.
14
Let v be 3 + 1 + (-9)/3. Let a(f) = 2*f**2 + 2*f + 3. Let o be a(-2). Suppose -v = -p + o. Calculate the smallest common multiple of 14 and p.
56
Let c = -9442/9 - -1048. Calculate the common denominator of (-147)/1911 + 31/(-104) and c.
72
Let o = -911 - -8155/9. What is the common denominator of -131/6 and o?
18
Suppose -3*v + 6 = -0. Suppose 3*i - 12 = 0, -3*p + 13 = -0*p + 4*i. Calculate the least common multiple of 17 - (3 - 2)/p and v.
18
Let k = -11/51164 - -12489593/25940148. Let h = -16527769/4056 - k. Let y = h - -4082. Find the common denominator of y and -20/9.
72
Let n be (-218)/(-6)*(-554 + 2). Let p be n/(-120)*(-3)/2. Let k = p + 247. Calculate the common denominator of -93/16 and k.
80
Let x = 2/4793 - -416983/19172. What is the common denominator of (71/(-20))/(4/10) and x?
8
Let g(p) = -29*p + 68. What is the lowest common multiple of g(2) and 4?
20
Suppose 0*n - 3 = 3*n. Let d be n/3 + (-304)/(-12). Find the common denominator of 145/6 and (-55)/4*18/d.
30
Let c = 6487/20 - 1738/5. Let f = 0 + -11. Find the common denominator of c and 15/12*38/f.
44
Let m = -132 + 625/4. What is the common denominator of m and -41/126?
252
Let l = 34/813 + -7837/3794. What is the common denominator of -23/98 and l?
294
Find the common denominator of -3 + 5 + (-482)/284 and -14/9.
1278
Let y = -31 + 42. Let m(a) = a. Let z be m(0). What is the least common multiple of -5*1/(z - 1) and y?
55
Let t = -2825/294 - 60/49. Let l = -17187 - -275093/16. Find the common denominator of l and t.
48
Suppose -2*b - 2*w = -108, -4*b - w - 196 = -8*b. Calculate the lowest common multiple of 10 and b.
50
Let f(z) = -z**3 + z**2 - 5*z + 102. What is the least common multiple of f(0) and 8?
408
Let a be 2 + (-185)/88 - -1. Let v = -5/8 + a. Let i = 3258 - 26127/8. What is the common denominator of i and v?
88
Suppose -3*n = -2*n + 11. Let y(r) = r + 5. Let p be y(n). What is the smallest common multiple of (-2)/3*1*p and 3?
12
Let i = 2/53733 - -4029931/1182126. Suppose 0 = -12*j + 15*j - 84. Calculate the common denominator of i and (-690)/j*4/(-12).
154
Let y(x) = -143*x - 91. Let o(a) = -8*a - 5. Let v(k) = -91*o(k) + 5*y(k). Let n be v(4). Let r = -22 + n. What is the least common multiple of r and 16?
240
Suppose 0 = -z + 5*z - 2*a - 126, -4*a = -5*z + 162. Calculate the least common multiple of 118/4 - 2/(-4) and z.
30
Let a = 3961 - 1589. Let c = a - 56939/24. What is the common denominator of -31/22 and c?
264
Suppose w + 7 = 2*k, 4*w - 6*k + 19 = -k. What is the common denominator of w + ((-15)/(-204))/(4/(-48)) and 11/5?
85
Let n = 33 + -31. Calculate the lowest common multiple of 4 + (-3 - -3) + n and 16.
48
Suppose 2*w - 4*w + 11 = u, -2*u - 5*w + 23 = 0. What is the common denominator of -85/36 and ((-657)/24)/((162/8)/u)?
36
Let w be 3 - 6/1 - -2. Let k = 21 + w. Let p = -13 + k. Calculate the least common multiple of p and 1.
7
What is the least common multiple of (3 - -81)/3*(-7)/(-4) and 112?
784
Let c = 4907/4 - 1202. Calculate the common denominator of 91/8 and c.
8
Suppose -o + s = -3*o + 1, -5*o - 4*s = -1. Suppose 10*j - 6*j - 12 = 0. Calculate the least common multiple of o and j.
3
Let d = 407175/48616 + -2/6077. What is the common denominator of d and 3*(-44)/(-9)*1?
24
Let c = 94 + -25. Let f = -8 + 18. What is the smallest common multiple of f and c?
690
Suppose 0*o - 6*o - 171606 = 0. Let d = o - -1201133/42. What is the common denominator of d and 43/10?
210
Let t(f) = -f**2 - 10*f + 153. Suppose 30 = 5*a + 5*y, -3*a = 5*y - 20 + 8. What is the smallest common multiple of t(8) and a?
9
What is the common denominator of -28/9 and -1*((-856)/(-97) - 9)?
873
Suppose 5*k - 1556 = -296. Calculate the least common multiple of k and 6.
252
Let h be 7/(-6) + 1 - (-9814)/(-84). Let y = h + 121. What is the lowest common multiple of 80 and y?
80
Calculate the smallest common multiple of 32 and (-312)/(-14) - (-22)/(-77).
352
Let b(i) = -2*i**2 + 48*i + 58. What is the least commo