330
Let k = 22989 + -22765. Calculate the smallest common multiple of k and 1568.
1568
Calculate the common denominator of -191/390 and 4 - (-12 + (-295)/(-24)).
1560
Suppose -3155 = -2*u + 3611. Let g = 1539/1109 + 30047133/8872. Let v = u - g. What is the common denominator of -131/6 and v?
24
Suppose 11*y = 2*j + 6*y - 3475, 0 = 4*j + y - 7005. Let x = 84007/48 - j. Calculate the common denominator of -173/60 and x.
240
Let t = 102/203 + 17845/7714. What is the common denominator of t and -13/131?
4978
Suppose 485 - 96 + 206 = 85*f. Calculate the least common multiple of f and (-2)/(-2) + 144/3.
49
Let n be 12/(-18) + (-1160230)/(-66). Let s = n + -17581. What is the common denominator of s and ((-936)/(-189))/((-6)/9)?
231
Let o be -2 - (1 - (-28)/(-2)). Let w = 24 - o. Let i(c) = 22*c + 1793. Calculate the lowest common multiple of i(-81) and w.
143
Calculate the common denominator of -79/58 and 12/24*(6 + (-93)/(-6)).
116
Suppose 10 = -8*b + 3*b. Calculate the common denominator of b/(-12*(-1)/89) and (1 + 5)/(26226/3069).
282
Suppose -90*r = -85*r - 875. Suppose -3*z = -h - 8*z + r, 5*h + 3*z = 765. Calculate the smallest common multiple of h and 48.
1200
Find the common denominator of (13 - 70686/2628) + 14 and (-6)/(-15) + 477/(-80).
1168
Find the common denominator of 0 - ((-275)/510 + 2) and 88/21.
714
Find the common denominator of 75/9464 and ((-222)/80)/((-55)/44 - 4).
47320
Suppose 53*n - 6972 = 65*n. Let v = 589 + n. Suppose 3*f - 4 = f. What is the smallest common multiple of v and f?
8
Let k = 643 + -3229/5. Suppose 70343 - 4647 = 8*p. Let h = -246229/30 + p. What is the common denominator of k and h?
30
Let j(u) = 16*u**2 - u - 21. Let x be j(3). Let v = x - 102. Calculate the least common multiple of 330 and v.
990
Let f be -89 + (-7 + 9 - 1*6). Let i = f + 383/4. What is the common denominator of i and (-2)/(-36)*(56 - 3)?
36
Suppose 0 = -4*j + 13 + 59. Let n be (-1)/(-4)*4 + (1 - 0). Suppose 0 = 5*s - 3*t - 20, -5*s - 6*t = -n*t - 55. What is the least common multiple of s and j?
126
Let q = 24539 + -21524. Calculate the least common multiple of q and 1340.
12060
Let g = 196 + -112. Let q = 86 - g. Suppose 2*x = -2*x + 20. What is the lowest common multiple of x and q?
10
Let l(h) = 3*h**2 - 134*h - 210. What is the lowest common multiple of 9 and l(50)?
5310
Let f = -37073203811167559/79332 + 467317145801. Let m = -2/6611 - f. What is the common denominator of m and (33/(-72))/11*9890/(-129)?
36
Let m = -389 + 555. Suppose -4*d - 165 = -j - 2*j, -m = 4*d - 2*j. Find the common denominator of 23/d - (-6)/(-21) and 5/4.
12
Calculate the common denominator of -1/56 and -60*18/(-6120)*(26/(-42) + 1).
952
Let a be (1/(-3))/((-6)/90). Suppose a*g + 148 = 3*m, 10*m - 11*m = -4*g - 61. What is the common denominator of (18/75)/(8/(-130)) and m?
10
Let p = -39894 + 1436317/36. What is the common denominator of p and 91/1084?
9756
Suppose 5 = -3*s + 5*u, -28 = 4*s + 3*u + 27. What is the common denominator of (s/45)/((-80)/(-66)) and -7/135?
540
What is the smallest common multiple of (-8561)/(-42) - 12 - (-3)/18 and 128?
384
Let z be ((-4)/8)/(1/2). Let c(v) = -2*v + 64. Calculate the least common multiple of c(26) and (30/4)/(z/(-2)).
60
Let w = 3087/152725 + -7/447. Calculate the common denominator of 49/41 and w.
3075
Suppose 5168 + 4912 = 16*z. Calculate the lowest common multiple of 660 and z.
13860
What is the smallest common multiple of 40 and 59/(708/40)*(8 - -1)?
120
What is the common denominator of 2 + -8 + (2 - -5) + 904/(-915) and 74/135?
8235
Let p be ((-2301710)/336)/1 + (-42)/(-147). Let g = p + 6854. What is the common denominator of 5/28 and g?
168
Suppose 0 = -3*o + 7 - 1. Suppose 48 = 4*b + 148. What is the smallest common multiple of (792/(-90))/((-23)/b - 1) and o?
110
Let s = -672108 + 483917897/720. What is the common denominator of 13/96 and s?
1440
Suppose 2*t + 6*g + 3 = 5*g, -5*t + g + 3 = 0. What is the common denominator of 11/16 and 261/(-96) + t/4?
32
Suppose 336 = -7*j + 294. Calculate the common denominator of ((-963)/45 - j)*(-2)/(-30) and -25/3.
75
Let x = -149273965/46332 + 41884/13. Calculate the common denominator of x and 1/660.
17820
Let t(d) = -d**2 - 7*d + 11. Let k be t(-8). Let y be k*((-12)/9)/(4/(-26)). Suppose 6*f - 58 = y. Calculate the lowest common multiple of 24 and f.
168
Let g be 1313/(-65) + (-1)/(-5). Let t be 1/(-3) + 21/9. Find the common denominator of 73/18 and (-102)/(-8)*t*5/g.
72
Suppose 47 = 5*m - 128. What is the common denominator of (-461)/m + 80/140 and -10/3?
15
Suppose -3*a = 5*h - 0*h - 31, -2*a = -5*h - 29. What is the lowest common multiple of a and (34 + -16)*98/63?
84
Suppose 2969 = -12*x + 353. What is the common denominator of -29/36 and (-6*x/162)/(-4)?
108
Let v = -5 - 13. Let d(r) = 8*r. What is the lowest common multiple of ((-168)/v)/((-4)/(-18)) and d(2)?
336
Suppose 68*f = -5*f + 10*f + 2079. Calculate the least common multiple of 55 and f.
165
Let j = 459 - 448. Suppose 5*m - 5*l - 95 = 0, -5*l - j = -m + 28. Calculate the least common multiple of 4/18 - (-966)/27 and m.
252
What is the smallest common multiple of 78 and (5 + 4)*-18*9/(-27)?
702
Suppose 21*q = 2*x + 16*q - 176, 2*q = 0. Calculate the common denominator of -15/8 and (243/x)/((-147)/(-196)).
88
Let v(r) = r**3 + 6*r**2 + 4*r + 11. Let x be v(-5). Let l be (x/(-6))/((-7)/210). What is the common denominator of 47/5 and 4 + 5/l*110?
40
Calculate the common denominator of 113/560 and (201/(-180))/(532/(-114)).
560
Let q(r) = -11*r - 172. Let s be q(-13). Let d(m) = m + 148. Calculate the least common multiple of 28 and d(s).
476
Suppose 418*f - 384 = 426*f. Calculate the lowest common multiple of ((-2)/(-8) + 0)*(f - -56) and 24.
24
Let z(o) = 695*o - 3490. Calculate the least common multiple of z(6) and 80.
1360
Let k = -39/7 - -4765/854. Let j = k - -29/183. What is the common denominator of ((-2)/80)/(18/(-2184)) and j?
30
Suppose 0 = 19*y - 94 - 286. Suppose -4*c + 6 = -f + 26, -c - 35 = -4*f. Suppose -2*w - k = -f - 5, -y = 4*k. What is the smallest common multiple of 3 and w?
9
Let m = 12822 - 10624. Calculate the smallest common multiple of 6 and m.
6594
Suppose -22*u = -25*u + 3. Calculate the least common multiple of 55 and u*47 + (-11 - -9).
495
Suppose 0 = x + d + 44244, 3*x + 176980 = -x - 3*d. Let t be (-1*x/(-240))/((-3372)/115). Let c = 10/2529 + t. What is the common denominator of 89/42 and c?
168
Suppose o = -b + 3088, 20*o - 22*o + 5*b = -6134. What is the least common multiple of o and 506?
33902
Let h be (-4)/((-20)/(-125)) + 4. Let p be 6/(-14) + (-345)/h. Find the common denominator of 21/16 and 107/(3 - (p - 3)).
80
Suppose 121*r + 2 = 120*r. Let i be r/(-7) + 1288/(-855). Let n = 1/665 - i. Calculate the common denominator of -91/4 and n.
36
Suppose 70*i = 78*i - 64. Let j = 371 - 254. Calculate the least common multiple of j and i.
936
Suppose 0 = -p - p. Suppose p = -16*f + 14*f - 4. Calculate the smallest common multiple of f/(-5) + 56/10 and 9.
18
Let f(k) = -k**3 + 2*k**2 + 31*k - 3. Suppose -4*j + 36 = 4*n - 52, 0 = -5*j. Calculate the lowest common multiple of f(-6) and n.
198
What is the common denominator of 1 - ((-3971)/(-352) - 13) and -49/1140?
9120
Find the common denominator of 3/((-3240)/(-3036)) + 3/(-2) and ((57/(-72))/(4/12))/(-15).
360
Suppose 2*n + 244 + 12 = 0. Let w = n - -139. Calculate the least common multiple of w and (-4)/2 + 8 + 1.
77
Let y(t) = 2*t**2 + 3*t - 1. Let l be y(-1). Calculate the least common multiple of 8 and (-30)/(-14) - l/(-14).
8
Find the common denominator of -37/144 and ((-765)/142800)/(1/(-135)*-2).
2016
Find the common denominator of -6/781 and (-790)/(-50)*4/568.
7810
Suppose 652 = 5*n + 402. Calculate the least common multiple of 450 and n.
450
Let s be (-27)/3*(1 + -2). Let a(b) = 6*b + 3*b + 7*b + s - 19*b. Calculate the least common multiple of 10 and a(-3).
90
Suppose 0 = -3*i - 4*u + 223, -2*u + 7*u - 89 = -i. Let q = i + -67. What is the lowest common multiple of q and 204?
204
Suppose -w - 4 = -3*w. Let l = -3221 - -3232. Suppose l*h = w*h + 63. Calculate the lowest common multiple of 19 and h.
133
Let a(m) be the first derivative of -36*m**2 - 189*m - 101. What is the smallest common multiple of 