Suppose -436 = 2*k - 118. Find the common denominator of k/(-22) + h - 4 and 41/22.
22
Let l = -147 + 140. Find the common denominator of (574/(-12))/l - -6 and 54/5.
30
Calculate the lowest common multiple of 210 and ((-16)/232 - 954/1305)*330/(-4).
2310
Calculate the smallest common multiple of 208 and 2908/14 - (-6)/21.
208
Let p = 31 + -11. What is the common denominator of 5/p - (-265)/12 and (2/8)/(495/(-840))?
33
Suppose 0 = -5*i - 6*i + 33. Let b = 54371/8 - 6805. Calculate the common denominator of 220/48 + -7 + i and b.
24
Suppose -4*p + 4*k = -628, -740*p + 738*p + 323 = -5*k. What is the lowest common multiple of 168 and p?
1848
Let c = -16085/17556 + -2/4389. What is the common denominator of 10/34 + 2093970/1021632 and c?
96
Let f(h) be the first derivative of 3*h**2 + 2*h + 2. Suppose 3*w + 50*a - 78 = 48*a, -2*a = 6*w - 150. Calculate the smallest common multiple of f(7) and w.
264
Let c be (-24)/(-56) - ((-176)/14 - 2). What is the least common multiple of 259 and ((-150)/125)/((-2)/c)?
2331
Let l(z) = 3*z**2 + 26*z + 14. Let n be l(-8). Let g = -676303/30396 - 2/7599. Find the common denominator of g and n/(-4) + 425/(-360).
72
Suppose -5*r + 54 = c + 12, 5*r - c - 38 = 0. What is the lowest common multiple of r and 1246?
4984
Let t = -1049 + 1057. Let w(l) = -2*l + 22. What is the least common multiple of t and w(9)?
8
Suppose -59*z + 11*z = -95 - 481. Calculate the smallest common multiple of z and 720.
720
Suppose -4*m + 36 = 4*y, -1 - 2 = 2*m - 5*y. Let h be (2/3)/(8/(-12)). Calculate the smallest common multiple of m and (-6 - -7)/(-1)*h*21.
42
Suppose 25*o - 3024 = 13*o. Calculate the common denominator of 501/o + 10/120 and -35/6.
42
Let x = -613 - -1289/2. Find the common denominator of ((-1)/78)/(184/25576) and x.
78
Let p(z) = 2*z**3 - 23*z**2 - 14*z + 12. Let t = 60 + -48. Let d be p(t). Find the common denominator of (-94)/(-23) + (d - -7) and 1/11.
253
Suppose -q = 5*w - 76, -4 = 2*q - 6. Let l = -17 + w. Calculate the least common multiple of l - 0 - 8/(12/(-6)) and 32.
32
Let z = 3253321/360 - 9037. Calculate the common denominator of z and -1/80.
720
Suppose -2*g - 165 = -5*o, 4*g - 115 - 50 = -5*o. Find the common denominator of -9/136 and o/(-231)*(1 + 69/(-2)).
952
What is the common denominator of 45/22 and (-4)/(180/365)*(-3 - 1971/(-660))?
660
Let s(l) = -6*l + 3. Let t be s(-5). What is the common denominator of t/44 - (-82)/24 and 23506/(-4380) - (-3)/(-9)?
30
Suppose -5*c + 0*c + 5*h = 2300, -2*c - h = 911. Let q = c - -508. What is the least common multiple of q and 21?
357
What is the least common multiple of 312 and 8 - ((-39)/3 + -147)?
2184
Suppose 0 = c + c + 4*d - 22, -5*c - 3*d = -20. Find the common denominator of -17/22 and (276/(-88) - -4 - c)*21.
22
Calculate the common denominator of 9/440 and 22/(-319) - 3276/4640.
440
Let o be (-22)/(-55) - (-3336)/10. Suppose -214 = 5*d - o. Let l(c) = -c**3 - 4*c**2 + 7*c + 3. What is the least common multiple of d and l(-6)?
264
Let r = 52/47711 - 3654661/70039748. Calculate the common denominator of r and 1/12.
4404
Suppose 5*l - 37 = 3*m, -5*l = 3*m - 7*m - 41. Suppose -157 = -2*v - l. Let y = v - 66. Calculate the smallest common multiple of y and 12.
60
Suppose -2*j = 4, -k + 34 = -4*j - 336. What is the lowest common multiple of 11 and k?
3982
Suppose s - 132 = -3*s. Let a(q) = 33*q**3 - 5*q**2 + 7*q. Let w be a(2). What is the common denominator of s and (-1)/((-50)/w) + (-27)/9?
25
Suppose 39 = -67*k + 54*k. What is the common denominator of -77/16 and (-12)/16*k/(-21)?
112
Let y = 11920793/90 + -132455. Find the common denominator of 101/134 and y.
6030
Let q = 15323 - 735647/48. Let i = 12/5035 + 477893/181260. Calculate the common denominator of i and q.
144
Let r(z) = -267*z - 4025. What is the lowest common multiple of 112 and r(-21)?
12656
What is the common denominator of -2*(-3586)/(-4224)*2*(-3)/117 and -133/264?
20592
Let b = -1/10688 + -54107/10688. Find the common denominator of -97/2412 and b.
9648
Let p be (-2576)/(-1196) + ((-6)/13)/3. Let w be -62*6/9*3. What is the smallest common multiple of 1 + (-2 - 1) - w/p and 22?
660
Let i = 78/59 - 3005/354. Let s be 12/54 - 23*28/(-18). Find the common denominator of (1 + 5/(-2))*(-508)/s and i.
6
Let x be 7/(-21) - (-425)/15. Suppose 3*y - 2*y + 5*s = x, 3*y - 132 = -3*s. What is the smallest common multiple of y and 9?
144
Let x(q) = -q**3 - 12*q**2 - 16*q - 12. Let w be x(-8). What is the lowest common multiple of (-2968)/w - (2 - 1)/5 and 24?
168
Suppose 0 = 5*d + 4*c - 235, d = 2*d - 4*c - 23. Calculate the lowest common multiple of d and -2 + (14 - 1 - 2) - (-34 - -39).
172
Let j = 6311/20 + -1289/4. What is the common denominator of 223/(-245) - 28/(-70) and j?
490
Let j = -11289 + 11321. What is the least common multiple of 1444 and j?
11552
Suppose -15900 = -84*h + 47772. What is the smallest common multiple of 52 and h?
19708
Let c(o) be the first derivative of -o**2/2 + 12*o + 26. Calculate the lowest common multiple of 11 and c(5).
77
Let f(v) = -55*v + 4. Let d be f(-1). Let o = 61 - d. Calculate the common denominator of 47/10 + 0/(4/o) and 61/8.
40
Calculate the common denominator of 139/588 and ((-749)/(-1176))/((-4)/(-16)).
588
Let d be (-1)/(((-1)/12)/(5/2)). Suppose q - d = 2*q - 4*s, -3*s + 27 = -q. Calculate the least common multiple of 11 and (6/q)/((-2)/42).
77
Let p = -978 + 3873/4. Let i = 243 - 239. Calculate the common denominator of p and -2*(i + 56/(-22)).
44
Suppose 19*f = -5*i + 18*f + 6944, 4*i + f = 5555. Let g = -1382 + i. Let d(o) = -o**3 + 5*o**2 + 7*o - 2. Calculate the lowest common multiple of g and d(6).
28
Let g = 303 - 257. What is the least common multiple of 10 and g?
230
Let f = -1986 + 2382. What is the least common multiple of f and 198?
396
Find the common denominator of (4/(-50)*-5)/(105/133) and 79/39.
975
Suppose -a - 1052 + 1124 = -4*k, -3*a + 202 = -5*k. What is the smallest common multiple of 640 and a?
640
Suppose 0 = -3*v - 5*f + 10, 0 = 4*v + 3*f - 6. Suppose -4*i - 3*q - q + 220 = 0, -i + 2*q + 55 = v. What is the least common multiple of i and 55?
55
What is the least common multiple of 144 and ((-90)/(-315))/((-2)/(-4662))?
5328
Suppose 22*s - 18*s = 0. Let k be (s - -1)/((-1)/(-14)) - -4. Suppose -18 = -m + 2*m + 5*d, -m + 4*d = -k. What is the smallest common multiple of 5 and m?
10
Let h be (-2 - 10/(-6)) + (-11230)/(-1290). Let g = h - 1901/602. What is the common denominator of g and 31/34?
238
Let b(m) = 3*m**3 - 4*m**2 + 8*m - 22. Let s be b(5). Let i = 311 - s. Calculate the least common multiple of 4 and i.
36
Let h = 1 + -10. Let g(v) = 191 - 8*v + 24*v - 145 - 12*v. Calculate the least common multiple of 14 and g(h).
70
Suppose -5*a + 196 = -2*s, -322*s = a - 321*s - 35. Calculate the least common multiple of 116 and a.
2204
Suppose 0 = -3*y + 6*y. Let p = y - -1. Let s(h) = -48*h + 294. Calculate the least common multiple of s(6) and p.
6
Let n(l) = -6*l + 19. Let v be n(5). What is the common denominator of (-1)/51*v/(429/104) and -11/21?
1071
Suppose 13 = 4*s - 11. Suppose 0 = 2*j - 2*z - 10, 30 = 3*j - 93*z + 95*z. Calculate the least common multiple of j and s.
24
Let z(q) = 142*q - 1312. Calculate the lowest common multiple of z(37) and 6570.
19710
Suppose -a + 5*n + 18 = 0, 29*a = 28*a - 4*n. What is the lowest common multiple of a and 155?
1240
Let j be (2521 + -3)*2/666. Let t = 2/333 - j. Calculate the common denominator of t and (110/(-12))/5 - (16 - 12).
18
Let j(v) = -v**3 + 5*v**2 - 4*v. Suppose 5*d = 5*h - 465, -d + 0*h = 5*h + 105. Let g = -25 - d. Calculate the least common multiple of g and j(3).
210
Let j(t) = 4*t**2 + 9*t + 71. Calculate the lowest common multiple of 612 and j(-7).
612
Let y be (-8)/(-52) + 152/26. Suppose 30 = y*n - 11*n. What is the smallest common multiple of 26 and 19 - 23 - (n - 0)?
26
Calculate the least common multiple of 460/26 - 24/(-78) and 735.
4410
Let d(h) = -9*h**2 + 5 + 8*h + 0*h + 0*h + 2*h**3 - h**3. Let f be d(8). Suppose -f*y + 3*y + 4 = 0. Calculate the lowest common multiple of y and 16.
16
Let l = 2/36317 - -1997319/2106386. What is the common denominator of l and -20/87?
174
Suppose -8*a = -749 + 157. Let b = 79 - a. Suppose 25 = b*j, -5*j + 128 = 4*l 