et k be 5 + 0 + (-8300)/(-70). Let l be (4259*3/(-21))/(-6). Let i = l - k. Calculate the common denominator of -101/20 and i.
60
Calculate the common denominator of 310/84 - (-4)/(-4) and 9/56.
168
Suppose 0 = -4*y + 178 - 162. What is the smallest common multiple of 36 and y?
36
Suppose 4*x - 898 = -5*c, -2*x - 663 = -4*c + 71. What is the lowest common multiple of 21 and c?
546
Suppose 46*n + 1211 - 4891 = 0. Calculate the smallest common multiple of 20 and n.
80
Let g = -90 - -168. Suppose -3*o + 0*o = g. Let p = 32 + o. What is the least common multiple of p and 8?
24
Let h be (-8)/12 - (-12)/(-9). Calculate the lowest common multiple of (6 - 5)/1*h/(-2) and 9.
9
Suppose o - 4*o = -24. Suppose 2*h = -4*j - 3*h + 26, -o = -4*j + 4*h. What is the least common multiple of j and (-3 - -5)/(1/4)?
8
What is the smallest common multiple of 156/22 + (-96)/1056 and 497?
497
Suppose 9*t = 5*t + 3*b + 228, -3*t = -5*b - 171. Calculate the least common multiple of 306 and t.
5814
Suppose -3*b - 4*j + 70 = 0, b + 3*j = -b + 48. Let r = -19 + -27. Let a = -40 - r. Calculate the least common multiple of a and b.
18
Suppose 12319 = 20*s + 2839. Calculate the least common multiple of 4 and s.
948
Let i = 4/1765 + 103247/391830. What is the common denominator of 17/2 and i?
222
Let u(l) = 13*l**3 + 3*l - 4. Calculate the lowest common multiple of u(1) and 514.
3084
Let i = 2365435 - 28409459/12. Let y = 2014 + i. Find the common denominator of -121/12 and y.
12
Let m = -29 + 29. Suppose 0*l = -2*l + 4*f, m = f - 4. Calculate the lowest common multiple of 3 and l.
24
Let x be (3/2 + -1)*194. Let z be (6/(-5))/(x/5). Let r = z - -4777/388. Calculate the common denominator of 65/8 and r.
8
Let y = -12048 - -530177/44. Find the common denominator of -71/12 and y.
132
Let u = -1090 - -4399/4. Calculate the common denominator of u and (-158)/6*3/8.
8
Let d = -67 - -67. Suppose -28 = -4*j - 4*r, 0 = -2*j + 5*j - 2*r + 4. What is the smallest common multiple of 3/(-2)*(-2 - d) and j?
6
Let r = -946045/537234 + 1/11679. Calculate the common denominator of r and 7/92.
92
Let d be (2915315/70)/(-13) + (-1 - -5). Let n = -3397 - -201. Let z = d - n. What is the common denominator of z and -25/4?
28
Suppose 3*i - 4*i = 5*p - 1999, -4*i + 1612 = 4*p. Let j = -5597/14 + p. Let m = -1358 - -10843/8. What is the common denominator of m and j?
56
Suppose 255 = 20*b + 29 + 106. Let a = -17 + 38. Calculate the lowest common multiple of a and b.
42
Suppose 0 = 32*c - 25*c - 420. Let k = 18 - 14. What is the smallest common multiple of c and k?
60
Suppose 14 = 5*k - j, -4*k + 13 = 2*j - 1. Suppose 0 = 5*a - k*v - 2 + 7, -a - 3 = -v. What is the least common multiple of 18 and a?
18
What is the common denominator of (-2254)/84 - 3 - (2 + -8) and 37/311?
1866
Let a = -1265 - -1309. Calculate the lowest common multiple of 24 and a.
264
Let w = 91 - -227. What is the smallest common multiple of 11 and w?
3498
Let g = -7471 + 134549/18. What is the common denominator of g and -7/440?
3960
Calculate the common denominator of -101/4 and 22/(-4)*(2382/591 - 4).
788
Suppose -4*q = -2*l - 8, 0 = -4*l + 3*q - 1 + 5. Suppose l*m - 4 = 3*m. Calculate the smallest common multiple of 240/(-32)*16/(-10) and m.
12
Let j be -4*3/21 - (-5508)/(-14). Let h = 9401/24 + j. Find the common denominator of 47/30 and h.
120
Let m(v) = -77*v - 3. Let l be m(-9). Find the common denominator of l/(-18)*(-1)/2 and -17/10.
30
Suppose -g - 4 = -5*g. Find the common denominator of (g/8)/((-176)/(-1088)) and -81/22.
22
Let z = 562/45 - 7/18. Suppose 7215 = 5*f - 6745. Let p = -50351/18 + f. Calculate the common denominator of z and p.
90
Suppose -6*g + 2 + 22 = 0. Let p be (-1)/(-3) - 37/3. Let b = -10 - p. What is the lowest common multiple of g and b?
4
Suppose -2*s + 21 = -17. Suppose 1 = 2*g - s. Let m = -8 - -22. Calculate the smallest common multiple of m and g.
70
Let j = 86 - 74. Calculate the smallest common multiple of 10 and j.
60
Let m = -88/7 - -83/84. Let t(g) = -8*g + 4. Let v be t(3). Calculate the common denominator of (199/(-5) - (-4)/v)/11 and m.
132
Let t = -1363/28 + 211/4. What is the common denominator of t and ((-382)/(-28) + 2)/3?
14
Suppose -y = -0*y - 3*y. Suppose -l + 148 = 3*w, 4*w - 9*w - 5*l + 260 = y. Calculate the lowest common multiple of w and 12.
48
Suppose h + 3*g + 10 = 42, -2*g = -8. Let k be 1/5 + 42/15. Let m = k - -13. What is the smallest common multiple of h and m?
80
Let i = 13 - 86. Let l = i + 82. Calculate the least common multiple of 7 and l.
63
Let r = -6 - 10. Find the common denominator of (-2 - -5)*38/r and 37/12.
24
Let z = -1/946 - 6856/2365. Calculate the common denominator of z and -26/15.
30
Let t = 14030539/150 - 93538. Find the common denominator of -17/40 and t.
600
Suppose -3*m + 0*m + 9 = 0. Suppose -m*w + 120 = -6*w. What is the lowest common multiple of 22 and 12*(w/(-12))/5?
88
Let c(b) = b**2 - 2*b - 4. Let j be c(5). Let n be 3559/j*(-3)/(-114). Let t = n + -3/209. Calculate the common denominator of 34/15 and t.
30
Let c(m) = -11*m**2 - 3*m + 13. Let q(o) = 4*o**2 + o - 4. Let t(x) = -3*c(x) - 8*q(x). Calculate the least common multiple of t(7) and 8.
392
Let v(x) = -x**3 + 8*x**2 + 10*x + 12. Let u be v(9). What is the common denominator of -41/115 and (66/48*-10)/(u/(-12))?
805
Let r(t) = t**3 - 15*t**2 + 14*t + 18. What is the lowest common multiple of 78 and r(14)?
234
Let h = 155 + -135. Let a = -4 - 0. Let y = 22 + a. Calculate the smallest common multiple of h and y.
180
Let f be (-9)/(-1)*2/6. Suppose 0 = f*x + 4*d - 27 + 2, -5 = -x + 2*d. Suppose -8 = 19*p - 84. What is the lowest common multiple of p and x?
28
Suppose 35*w - 33*w = 30. Calculate the lowest common multiple of 108 and w.
540
Suppose 4*t + 4*z - 97 - 139 = 0, 2*t + z = 120. Calculate the smallest common multiple of t and (-14)/(-10) - 2/5.
61
Suppose -5*l - 15 = -4*t, 3*t - 9 = -l + 7. Suppose -8 = z - 2*r - 0*r, -3*z + 3*r - 12 = 0. What is the common denominator of 38/7 and 2/((z - l)/25)?
7
Let h = 7941311/108 + -73532. Calculate the common denominator of 29/108 and h.
108
Let h be (-3)/(-9) - (-122)/(-6). Find the common denominator of 71/12 and (-3)/(-9)*(-642)/h.
60
Let h be 22 + -26 - (-6 + 0). Calculate the common denominator of (-2 - h) + ((-81)/(-8) - -4) and -103/6.
24
Let s = -48 + 0. Let o = -6645 + 39739/6. Calculate the common denominator of 1/(-3) - (-284)/s and o.
12
Let b = -127/8 + 265/8. What is the common denominator of (6 - 0) + (3270/(-220) - -10) and b?
44
Suppose -r - 3*r = -48. Suppose z - r = -2. Calculate the lowest common multiple of z and 8.
40
What is the common denominator of 37/32 and 758/(-160) + (-2)/10?
32
Let j = -40232/32529 - 2/1549. Calculate the common denominator of (-207)/243 + 6/(-27) and j.
189
Let u = -50 - -23. Let k = -17 - u. Calculate the least common multiple of k and 9.
90
Let b(z) = -z - 3. Let n(j) = -3*j - 9. Let s(x) = -8*b(x) + 3*n(x). What is the lowest common multiple of s(-6) and 6?
6
Let q be -2 + -2*(-628)/(-104). Let r = 6445/468 + q. Find the common denominator of ((-1)/(-6))/(8/(-246)) and r.
72
Calculate the common denominator of 218/48 + -7 - (1 + -1) and 17/63.
504
Let u = -1/21 + -19/42. What is the common denominator of u and 95/84?
84
Let r = 10 - -1. Suppose 0 = -u - 3*x + r, -3*x + 0 = -5*u + 1. Calculate the lowest common multiple of u and 10.
10
Let o be (-4)/2*((-9536)/3178 - -3). Let b = o - 74759/60382. What is the common denominator of b and 1/18?
342
Let m = 21 + -13. Suppose 0 = 2*q - 4*i - 68, 0 = i + 2*i - 9. Suppose -3*t = -t - q. What is the least common multiple of m and t?
40
Calculate the common denominator of (-1 - (-26)/1)/(-18) and ((-169)/1014)/(20/(-222)).
180
Let d(b) = -44*b + 24. Let i be d(-4). What is the common denominator of 2/(-10) - (636/i + -2) and -31/4?
100
Suppose -5*f + g + 10 = 0, -g = -f - 3*g + 2. Suppose 4*t = -t + 5*w + 75, 4*w + 70 = 5*t. Calculate the smallest common multiple of t and f.
10
Suppose -3*v + v = -20. Calculate the smallest common multiple of v and 36.
180
Let d(p) = p**3 - 4*p**2 + 3. Let k be d(4). Let f = 0 + k. What is the smallest common multiple of 9 and f?
9
Calculate the common denominator of (-394)/(-248) - 11*(-8)/(-88) and -13/32