 110/39. Find the common denominator of r and -2*21/150*(-3080)/(-231).
45
Let i = -6 - -11. Suppose 60 = h + i*h. Find the common denominator of 4/h - (-73)/(-10) and 99/4.
20
Let b(y) = 8*y**2 + 18*y - 66. Let u(h) = -h - 2. What is the smallest common multiple of b(3) and u(-8)?
60
Let s = 149 - -1428. Let x = 6347/4 - s. Find the common denominator of x and 37/4.
4
Suppose 0 = -4*r + 3*r - 2. Let n = 18 - r. Calculate the smallest common multiple of 2 and n.
20
Let s = -4 + 7. Let o = -4162 + 4172. What is the smallest common multiple of o and s?
30
Suppose -5*v + 0*r + 5*r = 55, -r - 4 = 0. What is the least common multiple of -2 - v/9 - (-50)/6 and 4?
8
Suppose 0 = 5*z + 36 + 9. Calculate the common denominator of ((-285)/40)/(z/(-30)) and 43/16.
16
Suppose -2*y + 5 + 1 = -2*l, 2*y = 10. Suppose -84 = -3*p + 6. Suppose -p = -j - 2*j. What is the lowest common multiple of l and j?
10
Suppose -2*g + 27 + 13 = 0. Suppose -2*b - b = 2*t - 14, -3*b + t + g = 0. What is the least common multiple of b and 4?
12
Let x = -172837/27 + 6400. Find the common denominator of x and -37/144.
432
Find the common denominator of 10083/1260 + (-17 - -9) and -17/189.
3780
Let u be (-4)/(-10) + 234/15. Suppose 1 = -5*h + u. What is the smallest common multiple of (9 + (-152)/16)*(-16 - 0) and h?
24
Suppose -3*v - 691 = 2*d, 2*v - 3*d = -752 + 274. Suppose 3*n = 4*n - 54. Find the common denominator of 23/16 and v/144 + 12/n.
48
Let f = -8129/8 + 1019. Let q = 8885 + -17425/2. Let i = -177 + q. What is the common denominator of f and i?
8
Let q = -19075 + 229091/12. Let h = q - 16. Calculate the common denominator of h and 83/21.
84
Let c = -49 + 26. Let s = 69 + -102. Calculate the common denominator of s and 4/(20/c) + 2.
5
Find the common denominator of -43/202 and (-94)/10 + (-9)/(-30)*10.
1010
Let m be ((-9353718)/(-420))/9 + (-4)/(-10). Let d = -2467 + m. Find the common denominator of 67/14 and d.
14
Let k = 1324 + -29047/22. Let y(h) = 378*h**3 + h**2 - h - 1. Let q be y(-3). Let z = 122441/12 + q. What is the common denominator of z and k?
132
Suppose -5 = -p, -3*p = 2*r + 659 + 7178. Let c = -23407/6 - r. Find the common denominator of (-6)/(-80)*125/2 and c.
48
Let b be 4/10 + 78/5. Suppose -t + 4*x = b, 7 - 2 = -2*t - x. What is the common denominator of 1/12 and 4 - (-434)/(-44) - t?
132
Let w(p) = -p**2 + 6*p + 6. Suppose -4 = -2*f + 14. Let j be w(f). Let l = j + 37. Calculate the lowest common multiple of l and 6.
48
Suppose -3*j + 4*n = -5, -j + 2*j + n - 4 = 0. Suppose -j*l + 21 = -15. Let i = 4 - -4. What is the lowest common multiple of l and i?
24
Calculate the lowest common multiple of 14/(-119) + (-2042)/(-17) and 3.
120
Let x be 4 + 3 + -6 + 132. Find the common denominator of 6/(1 + (-19)/(-13)) and 3 + x/(-22) - 0.
176
Suppose -5*s + 107 = 2*t, -275 = -5*t - 7*s + 2*s. Let o = t - 88. Let m = -26 - o. What is the least common multiple of 8 and m?
24
Let i(k) = 2*k - 25. Let j be i(11). Calculate the lowest common multiple of 6 and (-60)/(-9) + 2/j.
6
Let v(r) = r**2 + 17*r - 8. Calculate the smallest common multiple of v(-20) and 13.
52
Let p = 37957249595/117998 - 39565274/123. Let n = 3/4268 - -8487/6141652. Let d = p + n. What is the common denominator of 113/10 and d?
30
Let r = -1007/15 - -67. Calculate the common denominator of r and -50/7.
105
Let j = -6257 - -75029/12. Let r = 281915271530 + -45565965336052351/161630. Let l = r - 2/16163. Find the common denominator of j and l.
60
What is the common denominator of 121/18 and (-180640)/(-248000) - (-4)/(-5)?
13950
Let r(x) = x**3 + 21*x**2 + 23*x + 65. Calculate the smallest common multiple of r(-20) and 169.
845
Let q = 6005359/40 + -772198/5. Let d = q + 4316. What is the common denominator of 41/18 and d?
72
Suppose 0 = -0*p - 2*p + 26. Let o = -20 + 34. Suppose -5*x - 4*y + 22 = -2*y, -4*x + 2*y = -o. Calculate the smallest common multiple of p and x.
52
Let z = 5989 + -36085/6. Let y = 41257/29295 + -1/1085. Calculate the common denominator of z and y.
54
Let d = -1091 + 1111. Calculate the smallest common multiple of d and 96.
480
Let g = 241987/74 + -3270. Let f = -2513 + 9983/4. Calculate the common denominator of g and f.
148
Let l(z) = 4 + 4 - z**3 + z - 6. What is the lowest common multiple of l(0) and 141/6 + (-36)/8 + 5?
24
What is the common denominator of ((-140)/735)/(11/(66/20)) and (-1)/3 - (-939)/90?
70
Suppose -2663 - 105 = -8*r. What is the lowest common multiple of 8 and r?
1384
Let r(x) = x**3 + 8*x**2 + 3*x. Let l be r(-8). Let g = l + 35. What is the least common multiple of 5 and g?
55
Calculate the common denominator of -61/6 and -4 + ((-1)/4 - 30693/(-7748)).
894
Suppose -49*h + 110 = -47*h. Let d = 66 - h. What is the least common multiple of d and 3?
33
Suppose 4*v - 80 = 2*c, 3*v - 4*c - 50 = -0*c. Let f(b) = -b**2 + 9*b + 2. Let w be f(8). Let h = w - 4. Calculate the lowest common multiple of v and h.
66
Let o = -16326 + 261129/16. Let r = 20 + -8. Calculate the common denominator of 31/r*3/(-4) and o.
16
Suppose 6 = -2*t + 2. Let c = 6/175 - -10289/1050. Find the common denominator of c and 753/108 - t/(-9).
12
Let f = 1006 - 394. Calculate the lowest common multiple of f and 16.
2448
Suppose -5*w + 5*r + 19 = -w, 4 = 4*r. What is the least common multiple of w and 22?
66
Suppose 61 = 22*l - 137. What is the least common multiple of (4/(-6))/(4/(-18)) and l?
9
Let t = -15271 - -229349/15. Let l = 2737/120 - t. What is the common denominator of 63/10 and l?
40
Let h = -119 + 220. What is the common denominator of h*(1/40 - 0) and 91/18?
360
Let x(h) be the first derivative of -h**2/2 + 7*h - 1. Let c be x(6). What is the smallest common multiple of (4 - 0) + (c - 1) and 2?
4
Let f = 152 + 28. Calculate the lowest common multiple of 20 and f.
180
What is the common denominator of -29/60 and ((-28)/(-21))/(2/42*-10)?
60
Suppose -4*q - 8 = -24. Suppose q*p + 0*l - 46 = 2*l, 4*p = 4*l + 44. What is the lowest common multiple of p and 30?
60
Let h be ((-19)/(-8))/((-1)/386). Let v = h + 922. What is the common denominator of -53/8 and v?
8
Let n = -66159/2063173 + 26/821. Let m = 103027/15078 - n. Let c = 11475/8 - 1427. Find the common denominator of c and m.
24
Suppose 9*a - t + 74 = 14*a, -5*a = -5*t - 50. What is the least common multiple of 338 and a?
2366
Let a(d) = d**2 - d - 12. Let u = 23 - 11. Suppose 2*w - w = -h + 16, -w - 2*h + u = 0. What is the lowest common multiple of a(6) and w?
180
Let m = -54083911/306 - -176745. What is the common denominator of m and -57/68?
612
Suppose 116 = 4*v - 124. Let x = -57 + v. Calculate the smallest common multiple of x and 18.
18
Let l = 27 + -17. Suppose -2*i + 15*i = 208. Calculate the lowest common multiple of l and i.
80
Let u = 108319/10 - 10821. Let j = 13/632 - 10911/315368. Let k = j + -36315/7984. What is the common denominator of k and u?
80
Let q(n) be the first derivative of n**3/3 - 7*n**2/2 + 3*n - 5. Let v be q(7). Suppose 0 = -v*s - 4 + 16. What is the least common multiple of s and 10?
20
Let c be (1 - 82/(-6))*(-9)/(-6). Let q = 25 - c. What is the smallest common multiple of 10 and q?
30
Suppose 4*f - 2*l = -5*l + 713, -3*l + 349 = 2*f. What is the smallest common multiple of 2 and f?
182
Let y be (9/(-36))/((-10)/(-163)). Let q = y + 29/20. Calculate the common denominator of q and -121/10.
40
Let o(b) = 21*b - 185. Calculate the lowest common multiple of 12 and o(9).
12
Suppose -3*w + 8*w = -9460. Let z be (9/(-3) - 0) + 67224/(-36). Let y = w - z. What is the common denominator of y and -77/2?
6
Let n be 0*(-4 - -3)*-1 + 75. Find the common denominator of 43*(220/n - 3) and 14/33.
165
Let g(o) = -7*o - o - o + 11*o**2 + 6*o. Calculate the least common multiple of g(1) and 8.
8
Let r = -199 - -255. Calculate the least common multiple of r and 70.
280
Suppose -4*n - 306 = 262. Let s = 201 + n. Calculate the common denominator of 48/5 and (s/6)/(6/(-9)).
20
Suppose 2*x - 12 = -2*x. Suppose x*f = -166 - 851. What is the common denominator of 79/10 and (-2 - -1) + f/(-66)?
110
Suppose f - 18 - 11 = 0. Let u = f + -25. Calculate the least common multiple of u and 9/((-1 + -1)/(-2)).
36
Let k = 18248301/39790 - 80832/173. Let s = -81/23 - k. Calculate the common denominator of s an