. Let g = -31/66 - 1/33. Find the common denominator of (-28)/(-126) - (286/k - 1) and g.
4
Suppose 0 = -4*a - 1 + 9. Let m be (11/a)/(7/42). Let s = -25 + m. What is the smallest common multiple of 14 and s?
56
What is the least common multiple of (-4)/(-7 + 9) - -458 and 96?
1824
What is the common denominator of -83/4032 and (-310)/6200*(-535)/(-3)?
4032
Let m = -18367981/3355317 - -2374/433. What is the common denominator of m and -23/1134?
46494
What is the common denominator of ((-123201)/(-1539) - 80)/(-1 + (-2)/(-52)) and -14/95?
475
Suppose -3*f = -7*f - 2*r + 2560, 8 = 4*r. What is the lowest common multiple of f and 355?
3195
Suppose -x + o = 4*x - 304, -3*x - 3*o = -168. What is the lowest common multiple of 18 and x/(-510) - 410/(-17)?
72
Let k(m) = m + 311. Let n be k(-23). Let u = -1448/5 + n. Find the common denominator of 85/6 and u.
30
Let i = 597 - 89. Let d = -468 + i. What is the lowest common multiple of d and 124?
1240
Suppose -24*t + 64*t - 1600 = 0. Calculate the lowest common multiple of 8 and t.
40
Let p be -1 - 2*(-3)/1. Suppose 0*v + 1 = -v, 13 = x + p*v. Let k(i) = -i - 1. Calculate the lowest common multiple of k(-25) and x.
72
Let p = 1021 + -14325/14. Let u = -25627 - -5330317/208. Find the common denominator of u and p.
1456
Let j = -21441/11780 + 189/95. Find the common denominator of j and 47/44.
1364
Let g(p) be the second derivative of -p**5/20 + 11*p**4/12 + 5*p**3/6 + 4*p**2 + 95*p. What is the least common multiple of g(11) and 30?
630
Let k(l) = -1055*l - 975. Calculate the least common multiple of k(-1) and 400.
400
Let n = 81373/24 + -3391. Find the common denominator of n and 41/132.
264
Let f be (0 + (-14)/(-3))/(4/6). Suppose -g - 16 = f*g. What is the common denominator of -4 - (g/(-10) + (-2806)/680) and -27/4?
68
Let t(v) = -v**3 + 6*v**2 + 5*v + 62. Let z be t(8). Let k = 67293/5690 - 72/569. Calculate the common denominator of 23218/676 - 4/z and k.
10
Calculate the lowest common multiple of 176 and ((-44)/5)/((-325)/13000).
352
Let h = 734 + -820. Let g be (-2)/9 + (-7)/9. What is the common denominator of (0 + g)/(18/h) and 2/33?
99
Suppose 0 = -5*t - 2*h - 50, 8*h - 6*h + 42 = -4*t. Suppose s - 4*m = m - 15, -2*m = -5*s + 40. What is the lowest common multiple of 49/4 + 2/t + 0 and s?
60
Let f = 207 - 204. Calculate the common denominator of -7/2 and -1 + f + ((-3817)/1936)/1.
176
Suppose -69 + 64 = -41*x + 159. Calculate the smallest common multiple of x and 1546.
3092
Let b = 621 + -619. Calculate the common denominator of (-23)/(-2)*2/(-22) and ((-34569)/576)/23 + b.
704
Let x = -1653/26 - -22195/52. Let v = -773/2 + x. Calculate the common denominator of v and 81/658.
1316
Let q(j) = -j**3 - 19*j**2 - 103*j - 183. Calculate the smallest common multiple of q(-14) and 12.
1116
What is the common denominator of -99/34 and (2/30*-262)/(13 - 368/(-80))?
2244
Let t(h) be the first derivative of -h**4/2 - 79*h**3/3 + 21*h**2 + 90*h + 27. What is the smallest common multiple of t(-40) and 870?
870
Let f = 1956563641/27 - 72474007. Let b = f + 8685. Calculate the common denominator of -67/27 and b.
27
Suppose 5*r = -h + 100, 3*r - 80 = -r + 3*h. Let p = 28 - 25. Suppose -6*d + 6 = -p*d. Calculate the lowest common multiple of d and r.
20
Let q be 2/((-10)/(-35)) + -4. Suppose q = 3*w, -3*f + 34 = 3*w - 11. Let z = -48 + 70. Calculate the smallest common multiple of f and z.
154
Suppose -5*b + 3*l = -600, 3*b = 75*l - 72*l + 360. What is the least common multiple of 50 and b?
600
Let x(g) = -g**3 + 31*g**2 + 34*g - 49. Suppose 24*s - 832 = -2*s. Calculate the smallest common multiple of x(s) and 115.
345
Let v be (1 - 3) + 1 + 3. Suppose 12*b - 55*b = 344. Let l = v - b. Calculate the least common multiple of l and 2.
10
Let v(z) = 120*z + 680. What is the least common multiple of 35 and v(-4)?
1400
Suppose 9 + 15 = 4*r. Suppose -5*k = 5*b - 1395, 5*k - 6*b + 7*b = 1391. Let u = k - 266. What is the least common multiple of r and u?
12
Let b = 20057/2 + -10073. Let o be (2701/4)/((-1166)/4). Let g = o + 77/53. Calculate the common denominator of b and g.
22
Suppose 0 = -10*s + 9*s + 21. Let v = -149 + 377. What is the least common multiple of s and 9/7 - 1 - v/(-84)?
21
Let d = 617 + -611. Suppose -6 = 3*k, -5*h = 8*k - d*k - 231. What is the least common multiple of 11 and h?
517
Let k = -6582 - -12915/2. Let d = k + 169. Let c = -19081 - -76321/4. Find the common denominator of c and d.
4
Let f = -20333/42 - -3565/7. Let i be (3 - 2830/(-21) - -1) + -1. Let o = 794/7 - i. What is the common denominator of f and o?
6
Suppose 40*t = -0*t + 91193 + 79807. Calculate the least common multiple of 85 and t.
72675
Let j = 512201/11019756 + -164/2693. Calculate the common denominator of j and 25/42.
28644
Suppose -3*d + 90 = 2*i - i, -180 = -2*i + 3*d. Let j = i - 78. Suppose 37 = 3*f - 5*v, 0*f + 4*f = 2*v + 26. What is the lowest common multiple of f and j?
12
Let x(m) = -m**2 - 8*m - 7. Let r be x(-2). Suppose 140 = 5*n + 5*w, 2*w + 118 = r*n - 50. What is the lowest common multiple of n and 22?
352
Let z be (1/6)/((-1)/37153). Suppose -2*f = -n + 6214, 12*n + 2*f - 12422 = 10*n. Let p = n + z. Find the common denominator of -73/6 and p.
6
Let r = 2559 - 25637/10. Let q be 251/(2 + (16 - 1)). Let m = 645/68 + q. Calculate the common denominator of r and m.
20
Let t be 8/48 - -16*13829962/364870. Let g = 71608/3317 - t. Let v = g + 2928/5. Calculate the common denominator of v and -89/4.
132
Suppose m = 4*o + 71 + 39, 3*m = -7*o + 406. Calculate the least common multiple of 396 and m.
2772
Let y = 5158 + -4238. What is the smallest common multiple of 184 and y?
920
Let j(i) = i**3 + 5*i**2 - 7*i - 7. Suppose 16*c + 30 = 11*c. Let x = 23998/11 - 2185. What is the common denominator of x and j(c)?
11
Suppose 0 = -z + 400 + 200. Find the common denominator of (-348)/16*2/8 and ((-5)/(-12) + 0)*210/z.
48
Calculate the lowest common multiple of -16*(1/3)/(5*2/(-30)) and 414.
3312
Calculate the common denominator of (-18)/(-4)*(-36)/(-30) and (-10)/(9600/12495) + 12.
320
Let w = 143 + -137. Suppose 8*z + 253 = y + 10*z, -y = 4*z - 259. What is the least common multiple of y and w?
1482
What is the lowest common multiple of 13794 and 9/(((-51)/(-15) + -3)/((-8)/(-10)))?
41382
Let c(z) = z**2 + 10*z - 26. Let o be c(-14). Find the common denominator of (-158)/o - (-16)/96 and -9/40.
40
Suppose 46*r = -1888 + 11870. What is the least common multiple of 133 and r?
4123
Suppose -6*m + 5768 = -10*m. Let c = 1/83 - -241/664. Find the common denominator of c and (19/(-7) + 3)/((-24)/m).
24
Let v = -10838 + 12398. Calculate the lowest common multiple of v and 1404.
14040
Let k = 43 + 2. Let l = 50 - k. Suppose 4*u = m - 5*m + 208, 4*m - 253 = l*u. Calculate the lowest common multiple of m and 3.
57
Let s(c) = c**3 - c**2 - 5*c + 2. Suppose -4*o = -5*v - 110, -5*o = -195*v + 197*v - 154. What is the smallest common multiple of o and s(4)?
30
Suppose 18 = 2*d + 2*g, -3*g = -6*g. Calculate the lowest common multiple of 1 + 6 + 12/(-6) and (2/(-3))/((-2)/d).
15
Suppose 3*q - 2*y - 528 = 0, 2*q - 5*y - 333 = -10*y. Suppose -q = -6*i + 66. What is the smallest common multiple of 8 and i?
40
Let d = -11110961/61105998 - 8/77743. Calculate the common denominator of d and 37/66.
8646
Let v = 1543/28 + -39859/728. What is the common denominator of v and -17/28?
728
Let b be ((-2811)/2)/((-596)/(-6)). Let x = b - 15/149. Find the common denominator of x and -137/36.
36
Let n = 151 + -281. Let c = n + 190. Calculate the smallest common multiple of c and 6.
60
Let w = -3692/9 - -7247/18. Find the common denominator of w and -61/306.
306
Let k(s) = 20*s**2 + 15*s + 9. Let g be k(-6). Suppose g = 33*n - 516. What is the least common multiple of n and 85?
595
Suppose d + 4*f = 217, 5*d - d - 3*f - 735 = 0. What is the smallest common multiple of 231 and d?
2079
What is the common denominator of 103/36 and ((-21 - -8)/(-2912))/(210/(-3479))?
2880
Suppose -3*v = 4*j + 7159 - 1736, 6799 = -5*j + 3*v. Let g = j + -1015. Find the common denominator of (g/98)/(1 - -2) and 43/28.
28
Let h = -11721/5 - -4172961/1780. Find the common denominator of h and 31/78.
13884
Let t = 15240323/74612 + -9395/46. Calculate the common denominator 