and 120.
120
Let y be -1*(-4 + 1)*1445/5. What is the common denominator of -53/69 and (-3)/((-9)/2) + y/36?
276
Suppose -3*r = 4*r - 4*r - 4089. Calculate the least common multiple of 470 and r.
13630
Let k = -1941 + 2331. What is the smallest common multiple of 35 and k?
2730
What is the common denominator of (-80935)/8080 - (1 - 88/8) and 23/1212?
4848
Find the common denominator of 41/63 and 2/1960*-8689 + -19 + 28.
8820
Let k(b) = -b**2 + 5*b + 3. Let d be k(10). Let f = -42 - d. Suppose f*v - 9 = 4*v. What is the least common multiple of v and 9?
9
Suppose 2*r - 100 = x + 496, 0 = -2*x - 8. Find the common denominator of 25/12 and 914/(-144) - (r/(-36) + 8).
24
What is the common denominator of (-25)/(-32)*20/(-15) and 305/396*6 - 6?
264
Let r = -7904179/118 + 66984. Calculate the common denominator of 121/2124 and r.
2124
Let y = 186 - 139. Suppose -3*x = -p - 53, 6*x = 8*x - 3*p - y. What is the smallest common multiple of 1 and x?
16
Suppose 172*o - 26*o - 2336 = 0. Let k be (3/9)/(4/24). Suppose 2*r - 8 = 0, 48 = 2*y + k*r - 0*r. What is the smallest common multiple of y and o?
80
Let d = 571033/5 + -112243. Let h = -1973 + d. Calculate the common denominator of h and (132/(-180) - -1)/(2/125).
15
Calculate the common denominator of -99/1036 and 31/(-4)*(-13)/(1443/(-18)).
1036
Suppose 0 = -5*r - 20, -2*x - r + 3*r + 830 = 0. Let v = -8303/20 + x. Find the common denominator of v and 96/528 + (-6104)/176.
20
Calculate the common denominator of -137/162 and ((-95)/162*2)/(-6 + 28/(-21)).
1782
Let o = 31 - 123/4. Let x = -1/6729 + 77011/8972. Calculate the common denominator of x and o.
12
Let d = 798/55 - -6836/55. Let h = d + -1883/10. Calculate the common denominator of h and -145/12.
12
Let x(t) be the first derivative of -t**3/3 - 4*t**2 - 2*t - 7. Let n = -17 - -11. What is the least common multiple of x(n) and 12?
60
Let g(n) = -n**2 + 71*n - 110. Calculate the smallest common multiple of 20 and g(66).
220
What is the common denominator of -1/102 and (-224)/7 + 34 - -1038*(-2)/986?
2958
Let h be -1 - -3 - (-4 + -49 + 1). What is the common denominator of (-65 + 33)/(h/(-4)) and -59/18?
54
Let a = 24520 + -15002. Let x = a + -95283/10. Let i = 721/10 - 72. What is the common denominator of i and x?
10
Let k(u) = 3*u - 20. Let d = -10 + 26. Let w be k(d). Suppose w = g - 2*g + 5*q, 4*g - 2*q = -22. What is the common denominator of 65/3 and g?
3
Calculate the lowest common multiple of 5 and (-122656)/(-260) - (-2)/(-13) - (-48)/(-30).
470
Calculate the common denominator of 73/940 and ((-1044)/9744)/((-3)/86).
6580
Let h(z) = -40*z - 464. Calculate the least common multiple of h(-12) and 288.
288
Let w = 1198 + -2371/2. Suppose 0 = -k + 2*d + 13, -4*k + 3*d + 52 = 10. Let z = k - w. What is the common denominator of 77/4 and z?
4
Let x = -40783/38 + 1075. Suppose 7340 = 5*l + 3*c, -l - 2*c + 4*c + 1468 = 0. Calculate the common denominator of l/(-360) - 4/18 and x.
190
Let x = 4958 - 3968. What is the lowest common multiple of x and 660?
1980
Let w be 1 - (27 + 4/(-2)). What is the common denominator of ((34160/(-1408))/(-35))/(2/4) and 6/4*154/w?
88
Let t(q) = -q**2 + 7*q + 2. Let n be t(7). Suppose -s - 2270 = -a, 0 = 4*a - n*s - 3*s - 9082. Calculate the common denominator of 5130/a*1/(1*5) and -20/7.
42
Let g be (4 + 13)/(1 - 2). Let y = g + 21. Calculate the lowest common multiple of 10 and y/(-8)*(-3 - 21).
60
Suppose 5*x - l = 18, 3*x + 0*l = l + 12. Suppose -7*c = x*c - 190. Suppose -2*q + g = 4*g - c, 5*g = 5*q - 85. What is the least common multiple of q and 20?
140
Let t = 727430/172244683 - 5/47281. What is the common denominator of -28/5 and t?
18215
Let a be (0/(1 + 0))/((-22)/(-11)). Suppose -9 - 10 = 2*n + r, -5*n + 5*r - 40 = a. Find the common denominator of 23/12 and (-24)/12 - 47*1/n.
36
Let i = -6528 + 6942. Calculate the smallest common multiple of 27 and i.
1242
Suppose -4*c - 2472 = -3*f, -2*f + 1682 = 30*c - 27*c. Calculate the least common multiple of f and 312.
2496
Suppose -3*q + 5*f = 2*q - 60, 60 = 5*q - 2*f. Find the common denominator of (4/30*6/(-4))/(48/(-936)) and ((-2)/q)/(2/(-5)).
60
Let b(r) = -r + 1. Let y be b(-4). Suppose a = 2*x + 9, 0 = y*a - x - 19 + 1. Calculate the least common multiple of a and 60.
60
Let y(g) = 6*g**3 - 38*g**2 + 22*g - 265. Suppose 0 = 5*l - 35 - 165. What is the lowest common multiple of l and y(7)?
680
Suppose 18*u + 4605 = 21*u. Calculate the common denominator of (u/1140 - 2)/(7/14) and -137/6.
114
Let c be -54*1214/(-88)*(13 + 0). Let q = c + -9688. Find the common denominator of q and 4/(-4) - ((-93)/12 + 4).
44
Let t = 1272209/1254 + -11122/11. Let m = -56828/3895 + 272/205. Let j = m + t. Calculate the common denominator of 81/2 and j.
6
Let q be ((-272)/204)/((-1)/45). Suppose 0 = 64*l - 772 - q. Calculate the least common multiple of l and 6 - 0*(-2)/4.
78
Suppose -4*l + 8*y - 15 = 5*y, -5 = -l - y. What is the common denominator of (-3)/(-3 - l) + (-4475)/900 and -1/44?
396
Let y = -9863 - -10003. What is the least common multiple of 680 and y?
4760
Let d(j) = j**3 - 5*j**2 + 12*j - 5. Let u be (385/10)/(-7)*-4. Calculate the smallest common multiple of d(4) and (22/3)/(u/99).
297
Let j = -32 + 2. Let f = -6126 + 61373/10. Calculate the common denominator of f and (-325)/j + 6/8.
60
Let a = -563/174 - -2/29. Let s be (-907)/2 + (-78)/(-52). Let o = 419 + s. Find the common denominator of o and a.
6
Let b = 2/197 + -211/1379. Let y = 7705441/50 - 154110. Find the common denominator of b and y.
350
Let w = -135314/2275 + 1484/25. Calculate the common denominator of w and 107/10.
910
Suppose 38*j = 795 - 1290 + 6879. What is the smallest common multiple of 4536 and j?
4536
Suppose g - 99 = 3*s, 134*s - 12 = 136*s. What is the least common multiple of g and 1575?
14175
Calculate the lowest common multiple of 414 and (-8816)/(-95) + 12/(-15)*(-2)/8.
12834
Calculate the common denominator of 49/188 and (12/10)/((-3)/15) + (-338247)/(-54990).
940
Let l = 178 + 82. Calculate the smallest common multiple of l and 208.
1040
Let v(c) = -c + 9. Let q be v(12). Let d(r) = -7*r - 15. Calculate the smallest common multiple of d(q) and 18.
18
Let o be (-43526)/(-40)*3/402. Let t = -7901906/67 - -117932. Let b = t + o. What is the common denominator of -41/4 and b?
40
What is the common denominator of 85/37736 and ((-801)/(-27))/((-112)/42)?
37736
Let b be (-2)/(-3) - (-68053)/(-5). Let h = b + 13605. Find the common denominator of h and -57/5.
15
Let i = 173313 + -30156311/174. Find the common denominator of i and -7/319.
1914
Suppose -4*i - 22 = -14. Let m be (i/3)/(232/(-496)). Let y = -7573/1218 - m. Calculate the common denominator of y and -31/6.
42
What is the smallest common multiple of (-56)/6*(-3 - -2 - (26 + 0)) and 126?
252
Let n = 117/17 + -5410/833. Find the common denominator of -43/7 and n.
49
Calculate the common denominator of (-408766)/43605 - 2/(-10) - -9 and 1/297.
5049
Suppose -b + 7 = i, 6*b - 4*b + 4 = 4*i. Calculate the least common multiple of -48 + (-13419)/(-284) - 947/(-4) and b.
236
Suppose 4*d = -2*r, -4 = 3*r + 8. Calculate the common denominator of 10/11 and (13008/(-1434))/(-8) + d + -3.
2629
Suppose 92*h - 97*h + 4*f = -4012, -2*f - 800 = -h. Calculate the least common multiple of h and 171.
45828
Suppose o = -3*a + 9430, -3*o + 20726 + 7550 = -5*a. Let c = o + -226339/24. Find the common denominator of c and -145/48.
48
Suppose 0 = -7*u - 95 + 25. Calculate the common denominator of u/(-35) + (-338)/154 and 246/45 + 4/(-6).
55
Let h(m) = -11*m + 74. Let l be h(8). Calculate the lowest common multiple of 46 and (7/l)/((-3)/30).
230
Let m = -1078/3 - -367. Let c = -10430581/6 - -1743417. Let w = c - 5009. What is the common denominator of m and w?
6
Find the common denominator of (-19)/(-152) + (-153)/840 and 115/10*8/(-70).
35
Let z = -98 - -47. Let y = 12 + -6. What is the common denominator of 781/1598 - y/z and -113/18?
846
Let n = 374 - 754. What is the common denominator of -51/52 and 3*(-8 - 2985/n)?
988
Let j = 1082281/40716 + -771/29. Find the common denominator of -37/273 and j.
9828
Suppose -143*z + 174*z = 558. Calculate the smallest common multiple of z and 198.
198
Let m(f) = 3*f**3 - 26*f**2 + 27*f + 74. What is the le