/(-8)) and 546?
546
Let q be (-6)/2*20/(-15). Suppose 5 = -3*w + 5*z, -18*z - 8 = -20*z. Calculate the smallest common multiple of (-27)/(-36) + 33/q and w.
45
What is the common denominator of (-2697570)/15823080 + (-2)/(-13) and 77/6?
13524
What is the smallest common multiple of 77 and (-6)/(2*(-20)/(-24))*(-3080)/66?
1848
Let i = 5439 - 5434. Suppose 15*x = 4*x + 66. Calculate the smallest common multiple of x and i.
30
What is the common denominator of (-9)/(-15) - ((-106)/11640)/((-4)/248) and 73/30?
2910
Suppose 3*u - 8*u = -30. Let g be (-16)/24 - (-226)/u. Suppose -5*x = -43 - g. What is the smallest common multiple of x and 6?
48
Suppose -127*q + 40*q = -414468. What is the lowest common multiple of q and 20?
23820
Let l(p) = -p**3 + 16*p**2 + 6*p - 5. Let j be l(17). Find the common denominator of 3 - 5/((-180)/(-52)) and (-4)/(j/28)*13.
36
Suppose 5*z + 5 + 0 = 5*y, 2*y - 8*z + 16 = 0. What is the smallest common multiple of y and 1442?
2884
Let f = 60 - 42. Let t(l) = 5*l**3 - 3*l**2. Let n be 12/9 - (1/3 + -1). Calculate the lowest common multiple of f and t(n).
252
Let q = 1670454 + -9989003/6. Let p = q - 5640. Calculate the common denominator of 45/(-4)*(-4)/(-6) and p.
6
Suppose 2*d + 4*f = -d - 152, -19 = d - 5*f. Find the common denominator of 202/24 - 2/8 and (d/(-15))/(-8 - -6) - -6.
30
Suppose -7*q - 18 = -746. Suppose 5*j + 5*l + q = 4*l, 4*l + 101 = -5*j. Let i = -5 - j. Calculate the least common multiple of 2 and i.
16
Let o = 148 + 50. Calculate the smallest common multiple of 1956/(-3749)*(-1380)/8 and o.
990
Suppose 82 = -15*v + 16*v. Let p = v + -42. What is the lowest common multiple of p and 55?
440
Let d(a) = 3*a**3 + a**2 - a - 2. What is the least common multiple of d(2) and (-35)/10 + 6 - (-2205)/126?
120
Let q = -38/5697 + 182027/7645374. Find the common denominator of q and 25/1098.
12078
Let k = -83 - 42. Suppose -5*x + 20 = -2*b, 0*x - 3*x - 2*b = 4. What is the lowest common multiple of x and (-9)/(k/70 + 2/7)?
6
Suppose -9*b + 37*b = -3360. Calculate the common denominator of -18/25 and ((-7)/(-20))/(b/1760).
75
Let j(z) = -z**2 - 47*z - 334. What is the lowest common multiple of 1586 and j(-38)?
6344
Let r = 23/61 + -3875/732. Let o = 5/1301 + -84625/15612. What is the common denominator of r and o?
12
Let f = 269 - 98. Find the common denominator of -34/9 and ((-42)/5)/(f*(-6)/60).
171
Suppose 5*d + 70 = 3*b, 18 + 7 = -5*d. Let w(n) = -n**3 - n + 2. Let a be w(0). Suppose 66 - 30 = a*i. What is the smallest common multiple of i and b?
90
Calculate the common denominator of -3 - (2/(-21) + 2603430/(-876960)) and -68/33.
15312
Suppose -3*c - 5*k = -403, 2*k = -c + 5*k + 111. What is the smallest common multiple of (-18 - -3)/((-15)/c) and 162?
1134
Let t = -4024 + 4093. What is the least common multiple of t and 12?
276
Let j(o) = o**3 + 14*o**2 - 4*o - 16. Let d be j(-14). Let i = 43 - d. Find the common denominator of -46*(i - (131/22 - 3)) and -18.
11
Suppose u - 4 = -2. Let r be 0 + -8 - (29 + -42). Suppose -252 = -u*b - r*b. What is the least common multiple of 14 and b?
252
What is the common denominator of 79/288 and (57/(-114))/(72/(-97))?
288
Let p = 4568 - 3762. Calculate the least common multiple of p and 10.
4030
Let m(q) = q - 25. Let z be m(27). Suppose -3 = 5*x - v, x = -2*v + 8 - z. Let y = x + 12. Calculate the least common multiple of y and 12.
12
Let t(h) = 23 - 12*h - 17 + 27. Let d be t(-5). Suppose -4*k = -3*j - 0*k + 69, 3*j + 4*k = d. What is the lowest common multiple of 15 and j?
135
Let q = -17261/42 - -2738/7. Suppose -5*a = -2*l + 6*l + 30, -4*a - 45 = -l. What is the common denominator of -2 + 2 + a/(-188) and q?
282
Find the common denominator of ((-33)/(-220))/(-1)*194/(-1239) and -43/12.
24780
Let m = -4497/92989 - -14/311. What is the common denominator of m and -61/104?
2392
Let i = 7915 - 2825674/357. Find the common denominator of 32/7 and i.
357
Let x = 10640/13 + -640519/780. Calculate the common denominator of ((-6)/128*14)/(15/(-55)) and x.
480
Let b = 40690013/608 - 133849/2. What is the common denominator of b and -121/1064?
4256
Let h = -142 + 162. Suppose -59 + 6 = -3*p - 2*i, 0 = -4*i - h. Calculate the least common multiple of p and 63.
63
Let i = -192 + 158. Let b = i + 62. Calculate the smallest common multiple of 18 and b.
252
What is the common denominator of 1727022/2347488 + 3/(-48) - (-4)/(-9) and 25/4?
988
Let m = 1570 + -3298. Find the common denominator of 1 - (m/476)/(-6) and 173/42.
714
Suppose 2*y - 24 = -y + 4*w, 3*w + 16 = 2*y. Let p = -952831 - -952892. Calculate the smallest common multiple of p and y.
488
Let k = 186 + -194. Find the common denominator of -1/26 and k - (8 + (-13990)/780).
78
Let i = 200 + -180. Find the common denominator of 44/3 and (-110)/132*33/i + -4.
24
Let p(u) = 129*u + 1710. Calculate the lowest common multiple of 63 and p(-10).
1260
Let m = 21 + -16. Suppose -m*r + 14 = -46. Suppose 6*y - 9*y + r = 0. What is the lowest common multiple of 18 and y?
36
Suppose 15*t - 9*t - 2160 = 0. Suppose t = 69*n - 65*n. What is the least common multiple of 108 and n?
540
Let f(y) = -5994*y - 1. Let o be f(-1). Let k = o + -11510. Let s = k - -32971/6. Find the common denominator of -65/14 and s.
42
Calculate the common denominator of (2/(-56))/(((-323)/(-2242))/17) and 17/8750.
8750
Suppose 3*a = -5*s - 103, 11*s - 184 = 5*a + 7*s. What is the common denominator of -109/60 and (-2)/54*5454/a?
180
Let w(x) = 9*x**3 - 9*x**2 - 4*x - 23. Let m be w(11). Let n = m + -216411/20. What is the common denominator of n and -61/180?
180
Suppose 4*j - 2*o - 30 = 0, 741*j = 738*j - o + 25. Calculate the lowest common multiple of 510 and j.
2040
Calculate the common denominator of (-26)/132 + (-4)/(-3) and -23/341.
682
Calculate the common denominator of ((-5625)/(-1800))/(1 - (-13)/20) and -4 - (1806/(-396) - -2).
66
Suppose -106*o + 108*o - 4*w = 16, -2*o + 3*w + 15 = 0. Calculate the smallest common multiple of o and 100.
300
Let a(g) = -6*g**3 + 7*g**2 + 24*g + 28. Suppose -3*q + 4 = 4*u, 0*q - 3*u + 2 = 2*q. What is the least common multiple of q and a(-2)?
56
Calculate the least common multiple of 253 and (-4 + (-573)/12)/(72/(-1632)).
12903
Let l = -2254925/118760334 - -13/90726. Calculate the common denominator of -26/27 and l.
35343
Suppose 6*a - 6 = 18. Suppose 2*p = -a*w + p + 34, w + 4*p = 16. Calculate the least common multiple of 154 and w.
616
Suppose m = 4*t + 428 + 50, 2*t + 230 = 5*m. What is the common denominator of 2*-1 + (-34)/84 and -1*(-4)/12 + (-1388)/t?
210
Let u = 106427 + -58997. Let o = u + -4078925/86. What is the common denominator of o and 17/14?
602
Let m = 13477 + -12983. Calculate the lowest common multiple of 418 and m.
5434
Let b = 221 + -155. Suppose b = 2*o + 18. Calculate the lowest common multiple of o and 12.
24
Suppose -277*s - 60 = -283*s. Find the common denominator of -127/84 and (-1)/s*5*54/8.
168
Let t be -2*2*6/(-8). Let k be (5 - (t + -6))/1. Suppose -22 - 10 = -k*l. What is the least common multiple of l and 16?
16
Suppose 0 = -d - 7*k + 182 + 81, 4*k + 1042 = 5*d. Calculate the lowest common multiple of 50 and d.
5350
Let s(o) = o - 12. Let i be s(9). Calculate the common denominator of 637/(-70) + (-418)/(-22) and 10/5 + i/10.
10
Let u = -9088 - -9548. What is the lowest common multiple of 110 and u?
5060
Let h = 42481993609/60 + -707989637. Let g = h + -43591. Calculate the common denominator of 53/66 and g.
660
Let j be (222061/24920*-6)/(42/(-4)). Let r = j - -5/623. What is the common denominator of r and 127/(-48) + 1/3?
80
Let d(w) = 2*w**2 + 277*w + 2082. Calculate the smallest common multiple of d(-140) and 33.
27522
Let x be (110/20)/((-3)/(-446)). Let w = 810 - x. Find the common denominator of w and -79/207.
207
Let m be (18/21)/(33/154). What is the lowest common multiple of 10 and 6/5*(14 - m)?
60
Suppose 35*k - 31*k = h + 142, -2*k + 62 = h. What is the least common multiple of 10 and k?
170
Let y = -3 - -3. Suppose -116 + 32 = -21*n. Suppose y*p - n*p + 32 = 0. Calculate the lowest common multiple of p and 12.
24
Let z = -47560/9 - -30344225/5742. Find the common denominator of -145/6 and z.
1914
Suppose -z + 3 + 0 = 0. Suppose -z*a + 5 = -4. Suppose 0 = -31*f + 26*f 