5. Find the common denominator of 2 + -2 + (-46)/(-18) and u.
90
Let s(k) = 3*k - 2. Let n be s(2). What is the common denominator of (-6190)/(-900) - n/(-18) and (-890)/8*2/5?
10
Suppose 0 = 14*k - 18*k + 384. Suppose 16 = 8*f - k. Calculate the smallest common multiple of 56 and f.
56
Let i = -9/13 + -584/39. What is the common denominator of i and 41/12?
12
Let v = 1/18712 + -26453/144849592. Let y = -270917/139338 + v. Find the common denominator of y and -17.
18
Let w = 11278 - 157991/14. Let g = -5/1637732 - -70115930/173190159. Let j = g - 3/188. What is the common denominator of j and w?
126
Let r(y) = -y**2 + 7*y - 3. Suppose -2*n + 6 = 3*z - 8, 5*z = -3*n + 24. Let u be r(z). What is the common denominator of 41/8 and u/(-24)*-6*17?
8
Let w(j) = -j**3 - 4*j**2 - 7*j - 4. Let m = 381 - 373. Calculate the lowest common multiple of m and w(-4).
24
Calculate the common denominator of -79/15 and 3/(4/36 + (-50)/126).
30
Let p(m) = -m**2 + 5*m - 37. Find the common denominator of p(0) and 97/6.
6
Let y = -9/1463 + -423793/77539. Let w = y + 15961/1590. What is the common denominator of 2/15 and w?
30
Let v = 150 - 131. Let i = -79/2 - -47. Find the common denominator of i and v/12 - 0*(-2)/6.
12
Calculate the common denominator of 2/(-6) - 311/30 and (-19)/(-24) - 344/258.
120
Let z = -866311/33 + 26254. Calculate the common denominator of 13/6 and z.
66
Suppose -3 = v + 3*t + 4, -5*v - 9 = 2*t. Find the common denominator of (-4)/(-18) + 325/36 and ((129/(-6))/v)/4.
8
Suppose 40*l = 45*l. Suppose l = -13*o + 126 + 238. What is the least common multiple of o and 2?
28
Suppose 162 = 33*m - 6*m. What is the least common multiple of m and 24?
24
Suppose 25*s - 814 = -12*s. Calculate the smallest common multiple of s and 1664.
18304
Let l(d) = 39*d - 537. What is the lowest common multiple of 160 and l(15)?
480
Let f(m) = 2*m - 2. Let c be f(6). Suppose -6*u + c = -8. Suppose 0 = u*d - 84 + 24. Calculate the smallest common multiple of d and 4.
20
Suppose -2*z + 5*g = 3*g - 380, -5*z - 4*g + 941 = 0. What is the lowest common multiple of z and 231?
2079
Calculate the common denominator of ((-215)/50)/(792/(-240)) and 2/6*(-1)/(-3).
99
Suppose 5*g + 148 = 43. What is the common denominator of 3/(g/10) - (-3 + 1) and -89/10?
70
Let a be (144/(-20))/(-3)*(-40)/(-12). What is the least common multiple of a/20*(92 - -3) and 10?
190
Let d(r) be the first derivative of r**2 - 32*r + 5. What is the smallest common multiple of d(18) and 104/10 + 2/(-5)?
20
Let q be 8/(-28) + (-190298)/(-84). Let r = 2260 - q. What is the common denominator of -34/27 and r?
54
Let x = -2703 + 2727. Suppose 0 = 4*d + 35 - 95. Calculate the smallest common multiple of d and x.
120
Suppose -5*h - 10 = -g, 5*h + 10 = -2*g - g. Let j(c) = -c**3 - c**2 - 2*c - 2. What is the least common multiple of 33 and j(h)?
66
Let h = -534 - -1534. What is the smallest common multiple of h and 14?
7000
Suppose 0 = 6*q - 2*q - 3*b - 50, -2*b + 4 = 0. Let v be ((0/1)/(-1))/(-2). Suppose -3*r + 35 + 1 = v. What is the smallest common multiple of q and r?
84
Suppose 22 = 3*x - 4*g, 0*x - g + 19 = x. Let b = -26 + x. What is the least common multiple of 14 and 5 + b/(-8)*2?
56
Suppose -4*t + 4*w - 5*w = -7523, 3739 = 2*t + 5*w. Let p = t + -26379/14. Let b = -38991/20 - -1948. Calculate the common denominator of b and p.
140
Let y(s) be the third derivative of s**6/120 + s**5/60 - s**4/24 + 4*s**3/3 - 6*s**2. Let j = 28 + -18. Calculate the smallest common multiple of j and y(0).
40
Let l be 146/50 - (-5 + 8). Let d = l - -429/50. Let q = -211/78 - -241/13. What is the common denominator of d and q?
6
Let l(k) = 2*k**3 - 17*k**2 + 3*k + 2. Calculate the least common multiple of 50 and l(9).
550
Let p be ((-6)/(-4))/(-3)*-2. Suppose 3*t - 6*t = -24. What is the smallest common multiple of t and 1 + p - (-5 + 3)?
8
Let h = 3531703/290 + -12178. Calculate the common denominator of h and 97/20.
580
Let x = -138 - -241. Suppose -89 - x = -8*u. Calculate the least common multiple of 21 and u.
168
Let x = -36 + 44. Suppose 33 = -5*g + x*g. What is the lowest common multiple of g and 2*7*100/40?
385
Suppose 0 - 7 = -l. Let o = 54/5 - l. Find the common denominator of o and (182/(-40))/(12/24).
10
Let i be (-6)/33 + 45/(-55). Find the common denominator of -105/22 and 2/(-12)*(i + 248/(-22)).
22
Suppose -40*j + 34*j = -2304. What is the least common multiple of 7 and j?
2688
Let m = 3363/11 - -25983/44. Let z = -891 + m. Calculate the common denominator of -17/6 and z.
12
Find the common denominator of 51/10 and ((-3)/36*1)/(247/(-1292)).
390
Let t(v) = -v**2 - 7*v - 10. Let l be t(-3). Suppose -14 = -3*s - 2*z - l*z, -5*s - 4*z = -34. Calculate the smallest common multiple of 8 and s.
40
Let x = -6500897/8 + 813606. Let k = -987 + x. What is the common denominator of -51/10 and k?
40
Let s be (-8 + 15)*6997/(-32). Let r = -1530 - s. Find the common denominator of -13/40 and r.
160
Let b = 119 - 109. Let f = 16 + -10. What is the lowest common multiple of b and 3/f*-4 - -3?
10
Find the common denominator of -19/64 and 378/224*((-65)/70)/13.
448
What is the least common multiple of 14 and (6 - 7) + 15 + -1?
182
Let v = -1973 + 7831/4. Suppose 4*s = 2*s - 110. Calculate the common denominator of v and (3/(-4))/((-15)/s).
4
Find the common denominator of -33/56 and ((-3038)/1225)/((-28)/15).
280
Let m = -3037 + 72755/24. Find the common denominator of m and 446/(-180) + 1/5.
72
What is the common denominator of 20350/(-3920) - (6 + -11) and 35/12?
1176
Suppose 0 = -0*f - 3*f - 684. Let o = 388 + f. Calculate the smallest common multiple of o and 22.
1760
Let u(o) = -2*o**3 - 17*o**2 - 8*o + 6. Calculate the smallest common multiple of u(-8) and 35.
210
Calculate the common denominator of 51/32 and 50/208 - (-4 + (-21)/(-6)).
416
Suppose -6*o - 14*o + 160 = 0. Suppose 3*d - 14 = -2. What is the smallest common multiple of o and d?
8
Find the common denominator of 64/77 and 1663/(-1430) - (-6)/39.
770
Suppose -8*x - 4*x + 36 = 0. What is the common denominator of ((-23)/3 + -2 + 4)/x and -88/15?
45
Let o = 81 - 54. Suppose 478*h = 481*h - 3*c - 141, 3*c = -5*h + 195. What is the smallest common multiple of h and o?
378
Let n(o) = o**3 - 8*o**2 + 2*o + 2. Let k be n(8). Suppose z + 2*z = -3*r, k = 4*z - 2*r. What is the lowest common multiple of z and 6?
6
Let u = -203067/2 - -641490/7. Let f = u + 9897. What is the common denominator of 11 + (-26 - -14) + 1/(-2) and f?
14
Let n(v) = 20*v**3 + 1. Suppose 2*l - 10*d = 16 - 30, 3*d + 9 = 5*l. Calculate the smallest common multiple of n(1) and l.
21
Let n be 1/(((-28)/8)/7). Let u(a) = -4*a**2 - 17*a - 6. What is the common denominator of u(-5) and n/(-7) + (-2708)/(-224)?
8
Let q = 24 - 25. What is the common denominator of q*(-4)/(-56)*-74 and 7/3?
21
Let c = 23251/27531 + -10/3059. Calculate the common denominator of 68/3 and c.
63
Let b(r) = -112*r + 7. Let w be b(-4). Let p = 1389/2 + -1163. Let j = p + w. Find the common denominator of j and 45/8.
8
Let l = 1289 - 1271. Suppose 3*b - 3 = -5*f + 2*f, 14 = 4*f - b. What is the least common multiple of l and f?
18
Let w = -8356 - 8383. Let i = w + 954151/57. Find the common denominator of -70/27 and i.
513
Calculate the lowest common multiple of (-24)/(-11)*594/108 and 306.
612
What is the lowest common multiple of 6 + 2 + 97 - 10/2 and 140?
700
Let d = 63119/8010 + 16/801. Suppose -5*m - 338 - 467 = -5*q, -4*m + 2*q - 646 = 0. What is the common denominator of d and (4/3)/(((-294)/m)/7)?
70
Let r = 493 + -479. What is the common denominator of -47/421 and r?
421
Suppose 4*w - 35 = 21. What is the lowest common multiple of w and 22?
154
Suppose p = 4*w - 70, 0 = 5*w - 16 - 9. Let j be 5*p*9/21. Let q = 107 + j. Calculate the common denominator of q and 53/10.
70
Let p(y) = -y**3 - 5*y**2 + y - 19. Let j = 13 - 10. Calculate the least common multiple of p(-6) and j.
33
Suppose -w + 0 + 6 = 0. Suppose 30 = 14*y - 11*y. Let f = y - w. What is the smallest common multiple of 9 and f?
36
Let k = -28/87 + -1285/783. What is the common denominator of k and -127/36?
108
Suppose 0 = 2*j + 3*j - 1830. Calculate the smallest common multiple of j/24 - (-3)/(-12) and 4.
60
Let y(v) = -v**3 + 11*v**2 - 8*v + 13. Let