e the least common multiple of s and m.
132
Let l = -18878 + 10590604/561. Find the common denominator of l and -19/153.
1683
Let j be 4/8*2 + (-7 - -8). Suppose -268 = -2*b + j*d, 15 + 125 = b - 4*d. Calculate the least common multiple of b and 198.
396
Let x(i) = i**3 - 8*i**2 - 6*i + 10. Let f be x(9). Suppose 3*z = 5*z - 38. Let q = f - z. Calculate the smallest common multiple of q and 22.
198
Calculate the least common multiple of 3411 and (-435)/(-11) - (10 + 832/(-88)).
44343
Suppose -183*k + 178*k = 3*v - 119, 69 = -3*k + 9*v. Let b(l) = 7*l**2 - 4*l - 3. What is the smallest common multiple of k and b(-5)?
192
Let z = -144123 - -99300770/689. Calculate the common denominator of z and 44/3.
2067
Suppose 3*w = -z - 1186, 2*w = -4*z + 3*z - 1188. Let q = 20258/17 + z. Let g = q + -458/51. What is the common denominator of -67/27 and g?
27
Let a = 44584945/174 + -256236. What is the common denominator of a and 71/522?
522
Let k = 64760 - 9066347/140. Let t = 577303/10 + -57723. Find the common denominator of k and t.
140
Let b be 1*-1 - ((-1116181)/110 - 6)*1. Let j(x) = 1450*x - 6. Let n be j(7). Let z = n - b. Calculate the common denominator of 65/82 and z.
410
Suppose 2*p + 25 = j, -4*j - 19 = 4*p + 1. Let n(q) = 10*q - 2. Calculate the least common multiple of n(2) and p/(-25) - 68/(-5).
126
Let c be (5584/24)/(4/54). Let o = -37649/12 + c. Calculate the common denominator of o and -43/192.
192
What is the common denominator of (((-36)/21)/2)/((-45)/16) and -50/483?
2415
Suppose 3*m - 154 - 125 = -5*f, 4*f + 5*m - 231 = 0. Suppose -7*a + 267 + 27 = 0. Calculate the smallest common multiple of a and f.
378
Let t be (60 - -2) + (0 - 7). What is the common denominator of 5/2*(0 + (-11)/t) and -87/80?
80
Let c = 110 + -110. Let p(d) = 4*d + 20. Find the common denominator of p(c) and 2/27.
27
Calculate the common denominator of 11/1104 and ((-1460)/(-30))/(5888/6).
4416
Let a be 670/(-8) - (7 - (-62)/(-8)). Let r = a + 81. What is the smallest common multiple of 3 and (r/(-9))/(14/63)?
3
Let b be (645/90 - 2/12)*21. Suppose o = -c + 42 - 3, -o + b = 4*c. What is the least common multiple of c and 96?
288
Suppose 11*n = -5*d + 37 + 129, -2*n = 3*d - 72. Calculate the least common multiple of d and 1326.
13260
Let f = -4039249/189 - -21372. Let l = -78191/12 - -6521. Calculate the common denominator of f and l.
756
Suppose -h - 439 = -443. Suppose -4*w - 2*j = -242, w - h*j - 146 = -w. What is the lowest common multiple of 36 and w?
252
Let u = -62 - -37. Let r = 30 + u. Suppose -22 - 38 = -r*f. Calculate the lowest common multiple of f and 6.
12
Suppose -8*j - 29 = -7*j + 4*g, -53 = 2*j + 3*g. Calculate the common denominator of 151/12 and ((370/j)/2)/3.
60
What is the common denominator of -9/2 and ((4 - 9)/(-150))/(-895*(-4)/(-2340))?
1790
Let f(p) = 3*p**3 - 17*p**2 + 17*p - 373. What is the lowest common multiple of 125 and f(11)?
1750
Find the common denominator of (-184)/8694*(-65)/12 and -64/567.
567
Suppose -13*m - 14*m + 378 = 0. Suppose -m*r = -5*r - 108. What is the smallest common multiple of 90 and r?
180
Let j = 22 + 3. Let g(q) = -q**2 + 549*q + 4466. What is the lowest common multiple of g(-8) and j?
50
Let r be 1506/(-12)*(-28)/6. Let x = -4/1937405 + 26842746371/46497720. Let p = x - r. What is the common denominator of -109/12 and p?
24
Let c be (-44)/77 - (-31)/(-7). Let q(b) = 6*b**2 - 5*b - 16. Let v be q(-8). Find the common denominator of c/(-8)*v/42 and -31/18.
126
Suppose 44*c + 11*c = 344*c - 7803. What is the smallest common multiple of 7467 and c?
67203
Let m = -41 + 48. Suppose 0 = m*i - 0*i. Find the common denominator of 43/32 and 1 - i - (-551)/38.
32
Suppose -790*h + 53287 = 2161*h + 398*h + 13099. Suppose x - 5*x - k - 8 = 0, 2*x - 2*k = -4. Calculate the least common multiple of (4/3)/x*-24 and h.
48
Let m = -352 - -378. What is the smallest common multiple of 10/(-65) - (-4)/m - -16 and 22?
176
Let t = 147 + -32. What is the common denominator of (117/(-10))/(276/t) and (-2)/(-7) + (-1671)/42?
8
Suppose -407 = -5*p - 4*h, 0 = 213*h - 216*h - 6. Calculate the lowest common multiple of p and 15.
1245
Let x = 14563/6 - 2448. What is the common denominator of x and 2*(-585)/318 - -4?
318
Suppose 44 = w + 49. What is the smallest common multiple of 26 and 425/10*(w + 7) + -3?
1066
Let p = 150 - 228. Find the common denominator of 28/15 and (36/648)/(21/p).
315
Find the common denominator of -33/5672 and 6935/(-1140)*(-1 + 0 - 1).
17016
Let t(d) = d + 22. Suppose 21*x = 16*x + 40. Suppose -12*h - 36 = -15*h. What is the lowest common multiple of h and t(x)?
60
Let v be 6/1 - -75 - -2. Suppose v*t = 88*t - 45. What is the least common multiple of t and 198?
198
Let v = -13534 - -13588. Calculate the lowest common multiple of v and 1251.
7506
Suppose 0 = -4*f - 3*h - 7 + 2, 0 = 4*h + 12. What is the lowest common multiple of f and (-4)/(-44) - (-12173)/407?
30
Suppose 0 = 5*l + 30, -4*c + 5*l + 142 - 56 = 0. Calculate the least common multiple of c and 42.
42
Let c = -253/921 - -239765/932052. Calculate the common denominator of -109/506 and c.
3036
Let r(o) = 2*o + 18 - 5*o + o**3 + 0*o - 4*o - 4*o**2. Let b be r(6). Find the common denominator of 52/33 and 2/1 + (-46)/b.
264
Suppose -3*q + 8*q = 5*r + 40, -2*q - 2 = 4*r. What is the least common multiple of ((-4)/r)/((-27)/(-567)) and 7?
28
Calculate the common denominator of -33/3380 and 4*(12368/11520 - 1).
30420
Let p be 10/2*3/3. What is the common denominator of p + ((-1170)/(-24))/5 and -9/86?
172
Let g be (-4 + 3)*(-8 - 1/1). What is the smallest common multiple of 1/((-1)/(-23)) - (14 - g) and 2?
18
Let v be (-36)/(-63)*1/(-6854). Let p = -911552/359835 + v. Calculate the common denominator of -143/12 and p.
60
Calculate the common denominator of -17/781 and (-2)/(128/(-366)*(-15)/10*1).
12496
Let m be (-6)/15 + 14718/(-55). What is the least common multiple of 24 and (-4221)/m*(-64)/(-6)?
168
Let b = 21/167 - 4681/6680. What is the common denominator of -59/220 and b?
440
Let p be 767/(-708)*783/(-66). Let t = -96/11 + p. Let x = -8803/16 + 544. Calculate the common denominator of t and x.
16
Suppose 0 = 4*s - 5*i - 143, -116 = -4*s - 0*i - 4*i. Suppose -k - s = -5*k. Suppose 28 = -k*c + 12*c. Calculate the smallest common multiple of 54 and c.
378
Suppose 0 = 241*i - 249*i + 640. Let j = 81 - i. Suppose 0*x + 3*x - 3*t - 18 = 0, -4*t - 19 = -3*x. Calculate the least common multiple of j and x.
5
Let y = -1/63 - -4225/252. What is the common denominator of -1 - -3 - 5/120 and y?
24
Suppose j = -5*t - 14 - 1, -12 = 3*t. Let y = 3 + j. Let d(v) = -204*v + 11. Calculate the smallest common multiple of d(0) and y.
88
Find the common denominator of 155/156 and (580/1320)/((-2)/(-9)).
1716
Let q = -3721225/72048 + 4088/79. Find the common denominator of q and 31.
912
Suppose 2*p + 0*p = 0, 0 = 5*m + 5*p - 1135. Let s = m + -223. What is the least common multiple of 6 and s?
12
Calculate the common denominator of ((-9)/(-48) - (-713)/16)/(-3*406) and -49/1276.
53592
Suppose -2*d = 8, 0*d + 56 = -4*f + 2*d. Let p be (f/3)/8*-72*6. Find the common denominator of -44 and ((-2276)/p - 1) + 2/(-9).
8
Let t = 4404118379/2984 + -1475911. Calculate the common denominator of t and -89/5595.
44760
What is the lowest common multiple of 60 and 9/207 + 6890/230?
60
Suppose 12 = -p + 80. Suppose 3*g = r - 9, 4*r + 3*g - 4*g + 19 = 0. Calculate the lowest common multiple of p and r/(-4)*(-20 + 16) + 10.
68
Suppose 75*b + 4284 = 47*b + 45*b. Calculate the lowest common multiple of 462 and b.
2772
Let t = 48 + -44. Let q(o) = o**2 - o + 8. What is the least common multiple of -5*10/25*-1 and q(t)?
20
Let b be ((1*2)/(-6))/(8/(-72)). Suppose -5*z = -b*p - 90, -4 = -z + 3*p + 2. Calculate the lowest common multiple of (-3)/9 - 0 - (-92)/6 and z.
105
Let i(y) be the third derivative of -y**6/120 + y**5/4 + y**4/3 + 64*y**3/3 - 117*y**2. What is the smallest common multiple of i(15) and 12?
744
Calculate the common denominator of (-10)/252*(-11904)/480 and -93/98.
882
Let v = 92 - 91. Let o(p) = -p**3 + 7*p**2 + 2*p - 7. Let b be o(7). Suppose b = 4*g - 9. What is the least common multiple of v and g?
4
Let u(h) = -2*h**3 - 21*h**2 + 12*h + 15. Let m be u(-11). Calculate