.
240
Let d(t) = 3*t**3 - 10*t**2 - 7*t - 3. Let n be d(-6). Let a = -753 - n. What is the smallest common multiple of a and 8?
216
Let m be (1145/165)/(3/243480). Let l = m + -1684613/3. Let s = l + -1659. Find the common denominator of 13/4 and s.
44
Let g = -416/385 + 1212392/1119195. Find the common denominator of g and 15/68.
11628
Let g = 38 - 38. Suppose g = -5*t + 18265 - 550. Let j = 99215/28 - t. What is the common denominator of 1/11 and j?
308
What is the least common multiple of 120 and ((-33)/30 + 30/50)*(-11 + -1)?
120
Suppose 0*w + w = 7*w. Suppose -4*r = q - w*q - 175, -5*q = 5. What is the least common multiple of 2/10 + (-767)/(-65) and r?
132
Let n = 4/5613 - 64251/18710. Suppose 3*s - 3*f = 48, -12*f + 7*f - 52 = -3*s. Suppose 0 = -s*j + 5 + 163. Calculate the common denominator of j and n.
30
Suppose 4*l - 8*l - 44 = 0. Let t = l - 3. Calculate the common denominator of t/35*291/(-12) and 9.
10
Let w = -13293 + 15111. What is the least common multiple of 4 and w?
3636
Let k be (-1)/(-5) - 116555/(-100). Let q = k - 1146. Let z = 1194/5 + -26253/110. Calculate the common denominator of q and z.
44
Let k = -4162247/13509540 + 32/61407. Find the common denominator of k and -1/88.
1320
Let o = 9715 + -9679. Suppose 5*i + 6 = 1. Let u = 11 + i. Calculate the smallest common multiple of o and u.
180
Suppose 12*h - 5*v = 9*h + 2, 0 = -4*h - 4*v + 24. What is the lowest common multiple of 64 and -4 + 8 + (-2)/h*-4?
192
Suppose 25*u = 27*u - 84. Suppose -u*p = -41*p - 5. What is the least common multiple of 11 and p?
55
Let t(f) = -53*f + 857. What is the smallest common multiple of t(16) and 52?
468
Let m = 2541/340 + 2578471/3060. Let w = m + -849. Calculate the common denominator of w and 156/377*3/8.
522
Let f = 933931/1825720 - 1/365144. Find the common denominator of -43/78 and f.
780
Let n = 301 - 201. Suppose -y + n = -0*z - 3*z, 4*z + 320 = 3*y. Suppose 5*h = y - 42. Calculate the lowest common multiple of 12 and h.
84
Suppose 4*r - 69 = -t, 0 = 4*t + 3*r + 2*r - 320. Let y(a) = -a. Let x be y(-4). Suppose f - t = -x*f. Calculate the smallest common multiple of f and 9.
153
Let d = -33 - -73. Suppose -7*k = -2*k - d. Suppose 5*f - 2*o = 10 + 20, -4*o - 32 = -3*f. Calculate the smallest common multiple of f and k.
8
Suppose 0 = 3*x - 2*h - 6, x + 26 = -h + 33. What is the smallest common multiple of x and 5072?
5072
Let p = 2/10783 - 560730/75481. What is the common denominator of p and ((-1638)/39 + 40)*(0 + (-52)/(-154))?
77
Let x = -3968 - -8063. Let g = x + -61361/15. Calculate the common denominator of 8/33 and g.
165
Let n = 1068127/131870 + 2/13187. Calculate the common denominator of ((-16)/(-21))/((-300)/280) and n.
90
Let c be 22 + -1 - (0 - -8)/2. Let s = c - 11. Suppose 4*r + 3 = 939. Calculate the lowest common multiple of s and r.
234
Let o = 236698531/150 - 7889662/5. Let v = -1596/25 + o. Let f = 1176 + -10601/9. Find the common denominator of v and f.
90
Let d = -36045 + 504681/14. What is the common denominator of 87/125524 and d?
125524
Suppose -d + 0*t + 135 = -5*t, 0 = -4*d + t + 483. Suppose -u - v + d = -24, -3*v + 152 = u. What is the lowest common multiple of 9 and (u/60)/((-2)/(-6))?
63
Let m(l) = 6944*l**3 - 2*l - 1. Let s be m(-1). Let v = 11774 + s. Let j = v - 28879/6. What is the common denominator of j and -69/34?
102
Let d = -787289/54 - -14578. Calculate the common denominator of d and -19/90.
270
Let w be (-636)/(-317) + (-3 - -1). Let b = 14652/11095 - w. What is the common denominator of b and -45/14?
70
Let i(s) = 23*s - 110. Let d be i(5). Suppose -d*k - 12 = -6*k. What is the least common multiple of k and 12?
12
Let w be ((-13)/40)/(58/14292). Let p = 687492 + -19935092/29. Let c = p + w. What is the common denominator of -31/18 and c?
180
Suppose -4*x - 53 = 5*h, -3*x - 6*h - 40 = -2*h. Let r be 1182 + ((-8)/x - 28/(-12)). Calculate the common denominator of -13/28 and 0 + r/6*2/(-80).
112
Let v = -177 + 198. Suppose 3*d - 60 = v. Calculate the smallest common multiple of 60 and d.
540
Suppose 0*u = u - 0*u. Calculate the common denominator of u - (22/8 + 5) - 5 and 67/42.
84
Suppose 5*d + 5*z - 1330 = 1355, d - 2*z = 531. Suppose 129*g + 112 = 130*g + 4*h, d = 5*g - 5*h. What is the smallest common multiple of 54 and g?
108
Suppose -3411 - 1839 = 143*d - 148*d. Calculate the lowest common multiple of 45 and d.
3150
Let y be (-4)/((-2)/(0 - 8)). What is the common denominator of (558/8)/(168/16) and ((-2)/(-44))/(y/316)?
616
Let h be (20/(-12))/((-12)/36). Let x(b) = 47*b - 3. What is the smallest common multiple of x(h) and 8?
232
Let a be (108616/220)/((-66)/(-2585)). Let k = a - 19335. What is the common denominator of k and (-1 - -2) + 170/36?
198
Let f = 111 + -87. Suppose 0 = 9*j - 1852 + 1744. Calculate the least common multiple of f and j.
24
Let u be 7513/5170 + (-6)/4. Let d = 7697/11280 - u. What is the common denominator of 133/12 and d?
48
Let y = -31247 - -32683. Calculate the lowest common multiple of y and 3.
4308
Let z(g) = -g**3 + 2*g. Let b be z(-2). Suppose -88 + 16 = -b*x. Let i(k) = 2*k**3 + 81*k**2 + 30*k - 318. What is the least common multiple of x and i(-40)?
738
Let n(c) = 30*c - 12. Let i be 3/12 - 14/(-8). Let g be n(i). Let k = g + -33. What is the smallest common multiple of k and 3?
15
Let h = 40 - 28. Suppose -h + 6 = -3*s. Calculate the lowest common multiple of (0 - -19) + (s - (0 + -1)) and 20.
220
Find the common denominator of 167/336 and (-6)/(288/100)*(-1377)/(-26460).
2352
Let m = 3783 - 1639. Suppose -m*f + 2143*f = -3. Let h(s) = -13*s - 1. What is the least common multiple of f and h(-1)?
12
What is the common denominator of 62/25 and (-17028)/(-5418) + 1*0/(-2)?
175
Let k(c) = c**2 - 394*c + 45. What is the smallest common multiple of k(0) and 4071?
61065
What is the smallest common multiple of 88 and (22 - 214)*-1*13/4?
6864
Let y(x) = 2*x**2 - 46*x + 378. What is the smallest common multiple of 242 and y(16)?
1694
Let s = -657 - -398. Let a = s - -267. Calculate the smallest common multiple of 40 and a.
40
Let y = -8077 - -8147. What is the lowest common multiple of y and 2540?
17780
Suppose 15*x = 21 - 6. Calculate the lowest common multiple of ((-112)/(-7))/(4 - (x + 2)) and 216.
432
Calculate the smallest common multiple of 143 and 246 - 5*112/(-40).
2860
What is the common denominator of (23/(-207))/(20/715) and 53/420?
1260
Let g be 1/3*(25 - 22). Suppose 0 = 4*c - 16, 2*w = 5*w + 4*c - 40. What is the smallest common multiple of 1 - g - (w - 16) and 16?
16
Suppose -4*g - 3*h - 21 + 84 = 0, -56 = -4*g + 4*h. What is the lowest common multiple of 37 and g?
555
Let b(c) = 4*c**2 - 551*c - 1819. Suppose -4*w + 605 = -11. What is the lowest common multiple of w and b(141)?
154
What is the common denominator of 2/(-108)*(-8)/((-192)/(-2556)) and (2145/(-200) - 1) + 4/(-10)?
72
Let c = 329/12 - 35. Calculate the common denominator of c and -79/261.
1044
Let v = -113 - -78. What is the lowest common multiple of 15/(v/56 - (-2 + 1)) and 22?
440
Let z = -783/6511 - -1/383. Let h = -34/2257 - -283859/115107. Let q = h + z. Find the common denominator of 75/4 and q.
12
Let d = -61716 - -66159535/1072. Find the common denominator of -75/1072 and d.
1072
Suppose 3*z + z - 1737 = -x, -5*x + 4*z = -8613. Find the common denominator of 4/(-18) - (2 - (-63)/(-6)) and ((-2)/12)/((-15)/x).
18
Let k(l) = -9*l + 74. Let z be k(8). Suppose 13*g + z = 12*g, 5*p - 502 = -4*g. Calculate the least common multiple of 12 and p.
204
Let m(u) = u**3 - 6*u**2 - 12. Let i be m(6). Let b = 160 - i. What is the least common multiple of b and 4?
172
Find the common denominator of 77/10 and 16/(-200) + (-28581)/(-9450).
90
Let n = 19547/5 + -625407/160. What is the common denominator of n and 9/50?
800
Suppose 4*r - 4509 = r + 3*y, -3*y = r - 1491. Let x be r/54 - 2/(-9). Suppose -h + 4*s + 20 = 3*s, -h - 3*s = -x. What is the least common multiple of h and 4?
44
Let k be 3/20*(-26)/10569. Let s = k + -3143/1626. Find the common denominator of s and -97/48.
240
Let n = 30431 - 3286517/108. Find the common denominator of 35/3 and n.
108
Let c = -13419 + 13509. What is the least common multiple of c and 1440?
1440
Suppose -7*f = -2*f + 7*f. Suppose -2*w - 4*b + 2