
Let l = -50/547 + 53565/17504. What is the common denominator of l and 11/136?
544
Let a be 4 + 20/(-4) + 30. Let z = -19 + a. Calculate the smallest common multiple of 7 and z.
70
Let n = -329/72 + 7/36. Let d = -83113/24 - -3460. What is the common denominator of n and d?
24
Suppose 17*b + 24*b - 220 = -56. Let m = -18 + 32. What is the lowest common multiple of m and b?
28
Let u = 366 - 328. Calculate the lowest common multiple of u and 5.
190
Let g = 894/301 + -11/43. Let v(x) = 6*x**3 + x**2 + 3*x - 7. Let c be v(5). Let a = -7027/9 + c. Calculate the common denominator of a and g.
63
Suppose -h + 2 = -2*i, -2*h + i = -4*i. Calculate the smallest common multiple of ((-15)/h)/((-3)/6) and 10.
30
Let j = -3839 - -61369/16. Let m(v) = v**3 - 23*v**2 - 1. Let n be m(23). Find the common denominator of n/2 - (-5 - (-763)/84) and j.
48
Let k(o) = -o**3 + 7*o**2 + 10*o - 12. Let g be k(8). Suppose 2*x - g + 0 = 0. Calculate the lowest common multiple of x and 4.
4
Calculate the common denominator of 35/36 and (-90)/(-168)*(-1 + 34/(-8)).
144
Let i = 1916789/3159 - 7890/13. Calculate the common denominator of 77/39 and i.
3159
Let o = -9517943/1043370 - -821/90. Let a = o + 1727375/208674. Find the common denominator of -11/9 and a.
18
Let r(a) = -6*a + 102. What is the least common multiple of 6 and r(13)?
24
Let c = -17437/72 - -242. Find the common denominator of c and -83/4.
72
Let t(l) = l**2 + 5*l - 3. Let f be t(-6). Suppose 3*h + 5*q = -1821, -f*h - 1228 - 569 = -3*q. Let r = 1826/3 + h. Find the common denominator of 49/4 and r.
12
What is the common denominator of -35/279 and 6 + (-1632)/198 + 1?
3069
Suppose -144 = a - 4*a. Suppose -a = -7*w + 3*w. Calculate the smallest common multiple of 14 and w.
84
Let f = 184/33 + -59/198. Let b(u) = 8*u - 32. Let p be b(7). Find the common denominator of f and (-2336)/p*4/(-96).
18
Let i(x) = -4*x. Suppose 3*y - 4238 = -4208. Calculate the smallest common multiple of y and i(-5).
20
Let m = -13 + 40. Let d = -435 - -456. Calculate the least common multiple of d and m.
189
What is the common denominator of 113/14 and (25/(-290))/5*113/3?
1218
Let i = -1/79 - -573/1580. What is the common denominator of i and -109/40?
40
Let i = 18 + -8. Let x = 24 - 21. What is the lowest common multiple of (-6)/(x/(-1)) + 2 and i?
20
Suppose -5*i = 5*x - 65, -4*x = 2*i - 3 - 55. Suppose 3*w - w = 2*n + 18, -6 = -2*n. Calculate the least common multiple of w and x.
48
Let m(q) = 2*q**2 + 0*q**2 + 3*q**2 - 3*q**2. Suppose 6 = 5*t - 9, 5*t - 14 = y. Calculate the least common multiple of y and m(2).
8
Suppose 4*l - 5*y - 869 = 0, -435 = -2*l - 2*y + 5*y. What is the least common multiple of 324 and l?
648
Let j = -197935 + 80361535/406. Find the common denominator of j and -59/290.
2030
Let o be 4/6*1755/26. Let p = o - 34. Calculate the lowest common multiple of p and 1 + -3 - 9*-1.
77
Let f(j) = j + 1. Calculate the smallest common multiple of (-244)/(-8) - (27/(-6) - -3) and f(1).
32
What is the common denominator of (-2331)/(-420) + 0/(-2) and -127/24?
120
Calculate the common denominator of (-2*4/72)/((-17083)/2145 - -8) and (2 - 35/(-6)) + -1.
42
Let l = -4542 + 327035/72. Calculate the common denominator of -145/12 and l.
72
Let r(o) = -29*o + 4. Let s be r(2). Let b be (32/(-24))/((-1)/s). Calculate the common denominator of (-196)/b + -1 - 4 and -113/20.
180
Suppose -65*f + 1799 = -1581. What is the least common multiple of f and 4?
52
Let w(p) be the second derivative of p**5/20 - 7*p**4/12 - 7*p**3/6 - p**2/2 - 24*p. What is the smallest common multiple of w(8) and 5?
35
Let o(y) = y**3 - 16*y**2 + 39*y + 5. Calculate the smallest common multiple of o(13) and 9.
45
Let u = -15539/5363 + 90/31. Let x = 509/1730 + u. Let t = 5/54 + 2/27. Calculate the common denominator of t and x.
30
Suppose -92*u + 88*u = -132. What is the least common multiple of u and 27?
297
Let f be (4 - 1) + (-325071)/54. Let w = f - -5999. What is the common denominator of (-4)/(-6) - (-94)/120 and w?
60
Calculate the common denominator of 59/2 and (4 + 184/96)/((-2)/(-6)).
4
Let b(y) = -65*y - 97. Suppose -17 - 4 = -l. Calculate the least common multiple of b(-2) and l.
231
Let u = 90 + -86. Suppose 8*s - u*s = 72. What is the lowest common multiple of s and 12?
36
Let m be 158715/(-1711500) + (20/(-14) - -1). Let p = -1/8150 + m. What is the common denominator of -113/14 and p?
140
Find the common denominator of -27/8 and ((-5)/(-280))/(22/824).
616
Let k(u) = u**3 - 2*u**2 - 27*u + 78. Suppose 3*f = f + 24. Calculate the least common multiple of k(5) and f.
36
Suppose -3*z = 3*g + 24, 2*g + z + 14 = -g. Let j(v) = -v**2 - 19*v - 28. Let w be j(-17). Find the common denominator of -13/5 and 2/g - (-146)/w.
15
Suppose g = v + 3, 3*v - 3*g = -5*g - 4. What is the lowest common multiple of 7/(-7) - (v - 77) and 6?
78
Let n(x) = -x**3 + x**2 + 2*x + 1. Let h(v) = -v**3 + 9*v**2 - 9*v + 14. Calculate the least common multiple of n(0) and h(8).
6
Let v = -3613 - -260123/72. What is the common denominator of v and -121/24?
72
Let a = -12/3683 - -254655/162052. What is the common denominator of -65/36 and a?
396
Let i = 93/5 + -337/20. Calculate the common denominator of (4/6)/((-8)/13) and i.
12
Suppose w + 5*x = 9*x + 108, 0 = 3*w - 3*x - 342. Calculate the smallest common multiple of 12 and w.
348
Calculate the common denominator of (-2)/32*(-11735)/(-145) - -5 and -63/10.
2320
Find the common denominator of 81/38 and (-100)/70 - (-570)/(-140).
38
Let k(w) = w**2 - 16*w + 19. Let p be k(13). Let v = p - -24. Suppose -v*g - 7 = t, t + 5 = -5*g - 6. Calculate the lowest common multiple of 1 and t.
9
Let n(y) = -y**3 + 8*y**2 - 9*y + 6. Let x be n(8). Find the common denominator of ((-6)/(-18))/(28/x) and 69/8.
56
Let l(s) = s**3 + 3*s**2 + 3*s - 10. Calculate the common denominator of (77/(-4) - -2) + 1 and l(2).
4
Suppose -4*n - 3*z = -z + 1160, 3*z = n + 304. Let h = n - -2345/8. Calculate the common denominator of -15/8 and h.
8
Let u = 4250641/910 + -32696/7. Calculate the common denominator of u and 5/13.
130
Let o = -6661389/130 - -51241. Find the common denominator of 43/90 and o.
1170
Suppose 2*j - 7 = -3*s, -s - 3*j = 3*s - 8. What is the least common multiple of 127 and s?
635
Let h(n) = n**3 - 5*n**2 + n + 5. Let u be h(5). Let m be (-26 + 5)*2/(-6). Suppose 0 = m*b - 2*b - u. Calculate the smallest common multiple of 18 and b.
18
Let l = -266489/36 + 7401. Calculate the common denominator of l and 97/72.
72
Let l(d) = -d**3 + 8*d**2 + 8*d - 116. Calculate the lowest common multiple of l(6) and 160.
160
Suppose 5*h - 4*h - 5069 = 0. Let i = 40469/8 - h. Calculate the common denominator of 63/16 and i.
16
Let w = -841 - -885. Calculate the smallest common multiple of 13/2 + (-1)/2 and w.
132
Suppose 3*n - 87 = 3*f, -f - 82 = -3*n - 3*f. What is the smallest common multiple of (1 - n/12)/2*-48 and 10?
160
Calculate the common denominator of ((-2)/(-12))/((-130)/(-273)) and -123/40.
40
Suppose -2*a + 20 = 4*r, 24 = 3*a + r - 26. Calculate the least common multiple of a and 57.
342
Let i be 20/15*(-3)/(-2). Suppose i*m + 9 - 29 = 0. What is the smallest common multiple of m and 10?
10
What is the common denominator of -49/4 and 165/(-112) - 12/(-42)?
16
Suppose -w - 396 = -5*w. Suppose w - 36 = 3*i. Calculate the least common multiple of 3 and i.
21
Let m be 34/4*(-38 - 14). Let i = -7991/18 - m. What is the common denominator of -17/21 and i?
126
Suppose 328*x + 8 = 332*x. What is the smallest common multiple of x and 5?
10
Suppose -5418 = 5*p + 2*p. Calculate the common denominator of ((-3)/4)/((-27)/p) and -23/8.
8
Suppose -175 = -5*t + 5*l, 4*t = 2*t + 3*l + 70. Calculate the least common multiple of 5/3*42/t and 6.
6
Find the common denominator of 182/32 - 20/4 and -23/24.
48
Let v(l) = -l**3 + 3*l**2 + 7*l + 1. Let b be v(5). What is the smallest common multiple of (b - -22)*(-1)/(-4) and 11?
22
Suppose -10 = -d - d - q, 4*d + 3*q = 24. Suppose 2*b + 2*b + 2*s = 72, 0 = d*b + 3*s - 48. Calculate the lowest common multiple of 38 and b.
380
Let h be -1 + 1 - 49757/38. Suppose 0 = -2*n + 2*i + 2626, 2*i = n + 450 - 1768. Let r = h + n. What is the common denominator of r and 89/18?
342
Suppose -f - 13 = -28. Let v = f - 1