 Calculate the smallest common multiple of 407 and i.
407
Let h = 7946 + -7675. What is the least common multiple of h and 1084?
1084
Let j(l) = l**2 + 9*l + 16. Let r be j(-7). Let n be (-1)/r*(55517 - -9). Let f = 1277025/46 + n. Calculate the common denominator of -35/11 and f.
506
What is the common denominator of 127/6 and (298/104300)/((-144)/745)?
10080
Let s = -4167 - -4244. Suppose 2 = -3*d + 5. Calculate the smallest common multiple of d and s.
77
Let w = -9 - -17. Let l(t) = t - 5. What is the smallest common multiple of l(w) and 3696/(-504)*(-18)/22?
6
Let l be 212*(0 - 6/(-54)). Let r = -134/9 + l. Find the common denominator of r and 67/15.
15
What is the common denominator of (-8)/22 + 65658/(-1364) and 97/26?
26
Let r = 50243/4779 + -672/59. Find the common denominator of r and 163/378.
1134
Find the common denominator of 56/365 and (-195)/(-180)*42 - 0.
730
Let c = 1/23696 + -633873/118480. Let l be -1*3 + (10 - 11 - -9). Find the common denominator of c and (-4)/(-10)*(1670/(-24))/l.
60
What is the lowest common multiple of 259 and -6*((-16450)/28 + -23)?
25641
Let y = 6/42799 - -1748369/45580935. Find the common denominator of -36/5 and y.
1065
Let t = -1111 - -1115. Calculate the common denominator of 729/126*((-14)/t)/(-7) and 2/9 - (-839)/396.
308
Suppose 182*v = 176*v + 1140. What is the common denominator of 20/90 - v/(-72) and 143/24?
72
Calculate the common denominator of -1 + 233/(-45) - (-101 + 96) and -4 - -4 - 15/(-198).
990
Let h = 54 - 30. What is the common denominator of -81/22 and 3*(-93)/h + 0/(-1)?
88
Let q(y) = 27*y - 102. Let t be q(-29). Let h = 888 + t. What is the smallest common multiple of h and 34?
102
Suppose -15*u - 42 = -327. Suppose 30 = -14*r + u*r. What is the least common multiple of 15 and r?
30
Suppose -5*a + 5*t + 145 = 5, -a + 22 = t. Suppose 0*o + 4*o + 5*h - 145 = 0, 5*o - 180 = -5*h. Calculate the lowest common multiple of o and a.
175
Suppose 4*f - 5*f = 1. Let v be f/((-2)/(-7))*-18. Find the common denominator of -19/2 and (-297)/v*(-7)/(-32).
32
Let k(f) = -f**3 + 20*f**2 - 82*f + 28. What is the lowest common multiple of k(6) and 20?
40
Let i be 5 + -6 + (-77277)/24. Let f = i + 3226. Let g = -6/965 - 33727/7720. What is the common denominator of f and g?
8
Let r(h) = -h**2 - 9*h + 8. Let o be r(-8). Let s = o - 13. Suppose 2*w + 74 = s*a - 0*a, -69 = -3*a - 3*w. What is the least common multiple of 5 and a?
120
Suppose 32*k - 77*k + 27270 = 0. What is the least common multiple of 36 and k?
3636
Let q = 275516/337662303 - -2/140167. Let a = -20884/7227 + q. Find the common denominator of a and -19/18.
18
Suppose 4*k + 49 = 57. What is the common denominator of 23/14 and (384/180 - k)*(-222)/(-14)?
70
Let r(c) = -189*c**2 + 10*c + 15. Let k be r(8). Let q = k + 179947/15. Calculate the common denominator of q and 77/30.
30
Suppose -2*n - 133 = -4*n + t, 4*n - 257 = 5*t. Let c be n/(-26)*(90/6)/(-3). Let d = 1545/143 - c. What is the common denominator of d and 1/9?
99
Let k be ((-987)/(-18) - 5/(-3))*2. Let h = k + -107. What is the smallest common multiple of h and (2 + -3)*2*-3?
6
Let k = 12/11 - 1. Let l = 5 - -3. Suppose l*v + 3 = 7*v. What is the common denominator of k and v?
11
Let c(d) = 11*d - 54. Let a be c(12). Suppose 98 = 4*k - a. Calculate the common denominator of (3 + 91/(-56))/(3/k) and -9/4.
12
Let y(f) = f**3 - 7*f**2 + f + 2. Let s be y(7). Find the common denominator of 328/96 - 39/(-13) and (-6)/s - (-295)/240.
48
Let n = 16 + -28. Let p be (n/8)/((-18)/24). Suppose -p*w + 9 = k - 10, -35 = -3*k + 5*w. Calculate the common denominator of k and 43/9.
9
Calculate the common denominator of -109/968 and 92394/(-35640) - (-32)/20.
2904
Let j = -169421/561752 + -25/3053. Find the common denominator of j and 88/345.
2760
Find the common denominator of 4 + (238/(-8) - -2) and ((-9)/(-15) + (-1701)/3360)*(-102)/189.
336
Let l = 139750 + -27111561/194. Find the common denominator of l and (7/(-6))/((-88)/72).
2134
Let i = 491 + -431. Suppose 3*k - i - 6 = 0. What is the lowest common multiple of 14 and k?
154
Let x = -871 - -887. Calculate the lowest common multiple of x and 738.
5904
Let j be 18/12 + 3/(-12)*2. Calculate the common denominator of 7370/(-2145)*j/4 and 14/5.
390
What is the common denominator of -45/17 and (-2)/40*26390/348?
408
Suppose 5*g + w = 130, -2*g = -g + 4*w - 45. Let j = 8164 - 8134. What is the lowest common multiple of j and g?
150
Let g = 12890531/234 - 110175/2. Let h = 114/205 - 30101/21320. Find the common denominator of g and h.
936
Suppose -1996*t = -1949*t - 3666. What is the lowest common multiple of t and 143?
858
Let p be (-6*(-104)/702144)/((-8)/(-12633)). Let l = p - -7/2438. Find the common denominator of l and -19/28.
224
Suppose 44*g - 15328 + 6440 = 0. Suppose h - 252 = -g. Calculate the least common multiple of h and 20.
100
Let v(w) = -18*w**2 - 19*w + 9. Let x be v(-6). Find the common denominator of ((-5)/(-1))/(-1) - x/30 and 53/3.
6
Let m = -190624903/884 - -215639. What is the common denominator of 137/468 and m?
7956
Let c = -636764 - -6359961/10. Let x = 780 + c. What is the common denominator of x and -31/25?
50
Let t(w) = -4*w + 43. Let d(c) = -c + 14. Suppose -6*v - 4 - 8 = 0. Let j(l) = v*t(l) + 7*d(l). What is the least common multiple of j(-6) and 6?
6
Suppose 0 = o - 2*o + 3*x + 19, 3*o + 3*x + 3 = 0. Calculate the common denominator of -89/6 and 1562/132 - ((-3)/o + 1).
12
Let h(o) = -11*o + 81. Let y(k) = 45*k - 325. Let r(i) = 9*h(i) + 2*y(i). Suppose -2*l - l + 60 = 0. Calculate the least common multiple of r(7) and l.
80
Let d(c) = -10*c - 6. Suppose -759*z + 40754 = -27556. What is the smallest common multiple of z and d(-6)?
270
Let x = -25 - -33. Suppose -3*q + x = -4. Suppose 3*t - 5*v - 9 = 0, 2*t + 2*v = 4*t - 6. What is the least common multiple of t and q?
12
Let x = 32 - 22. Let j(l) = -2 + 12*l - 5*l**2 - 9 + 3 + 4*l**2. What is the smallest common multiple of j(x) and 16?
48
Suppose -263*n + 260*n = -1428. Suppose 8*d = -44 + 204. What is the lowest common multiple of n and d?
2380
Let b = 570 - 562. Suppose 0 = -14*k + b*k + 336. Calculate the lowest common multiple of 49 and k.
392
Let g = -49 + 52. Calculate the common denominator of (-56)/(-33)*g - (-16 + 18) and (-148)/30*7/((-42)/9).
55
Suppose -y + 117 = 5*p - p, -2*p + 51 = 3*y. Let z be 142 - (-24)/(-16)*2/(-3). Let u = 155 - z. What is the smallest common multiple of p and u?
60
Suppose -5*m - 29 = 3*g, g - 5*m - 1 = 16. What is the common denominator of -16/7 and (-2615)/760 + 7 + g?
1064
What is the common denominator of (-7)/(-35)*(5 - (-2140)/24) + -5 and 2/627?
1254
Let p be 5/3*81/45. Suppose s = p*a + 20, -2*s - 15 = 4*a + a. What is the common denominator of s/(-110)*4 + 2 and 20/3?
33
Let h be 8 + -10 + 105038/52003. Let m = -4/391 - h. Let v = m - 230/1197. What is the common denominator of v and -32/9?
9
Suppose -5*k = -4*a + 5179, 388*k - 386*k = 3*a - 3886. Calculate the lowest common multiple of a and 648.
1296
Suppose -r + s + 0*s - 35243 = 0, -s = -2. Let x = r - -845651/24. Calculate the common denominator of x and -95/6.
24
Let k = -14787 + 68793. Let y = -202198465/3744 + k. Let n = y + 55537/3744. Calculate the common denominator of 87/14 and n.
42
Suppose 590 = 154*q - 7880. Let p(h) = h**3 - h**2 + h + 7. Calculate the smallest common multiple of p(0) and q.
385
Let k(v) = -8*v - 56. Let l(f) = f**2 - 13*f + 4. Let o be l(12). What is the least common multiple of 0 + 2/(-2)*o and k(-8)?
8
Let c = 974735/56 - 17404. Find the common denominator of -99/952 and c.
952
Let i = 71 + -59. What is the lowest common multiple of 72/((0 - 28)/(-14)) and i?
36
Let p = -409517/12 + 39129. Let f = p + -4990. Find the common denominator of 103/66 and f.
132
Let d(x) = 40*x + 1082. Calculate the least common multiple of 864 and d(-23).
2592
Let c = 24077 + -1877933/78. Let k = -9423 - -94139/10. What is the common denominator of k and c?
390
Calculate the least common multiple of (-6)/4*66/(-9) and (-2374)/(-9) - ((-68)/340)/(18/20).
264
Let u = 15007/63 - 238. Let p = 4069/126 + u. What is the common denominator of p and (-46)/(-40) - (14 + 8 + -23)?
20
Let i = -2368/7 - -14243/42. What is the common denominator of i and 57