3*m + y = -4*m, m - 245 = 5*q. Calculate the common denominator of 13/4 and 726/320 + 2/q*-5.
32
Suppose n - 4*y + 674 = -896, -3*y + 1575 = -n. Let j(t) = -5*t + 2. Let i be j(2). What is the common denominator of 6/i*(n/153)/(-5) and 5/2?
34
Suppose 0 = 5*k - 6*c - 9123, -3*c - 376 = -3*k + 5099. Calculate the lowest common multiple of 30 and k.
18270
What is the least common multiple of 401 and (10 - 1)*(12 - 220/20)?
3609
Let y be (8/(-24))/(3 - (-246)/(-81)). Let b(m) = -m**3 + 8*m**2 + 10*m + 7. What is the common denominator of b(y) and -33/4?
4
Calculate the common denominator of (-194)/(-50)*4/(-40)*25 and -27/592.
2960
Calculate the common denominator of 5/32*(-4092)/12369 and -55/1976.
13832
Let d = -729457/9300702 + 500/4119. Find the common denominator of 87/8 and d.
9032
Suppose 736 + 56 = -6*l. What is the common denominator of 69/(12/(-10)*(-50)/3) and 705/l - 6/(-8)?
220
Let q(y) be the first derivative of -14*y - 7 - 11/2*y**2. Calculate the smallest common multiple of 10 and q(-8).
370
Let w = -139 + 322. Let y = w - 159. Calculate the lowest common multiple of 44 and y.
264
Let a = -481295 + 358564723/745. Calculate the common denominator of a and -1/149.
745
Let a(g) = g**2 + 19*g + 20. Let t be a(-18). Let k be (-8)/(0/2 - t). Suppose 2*u - k = 60. What is the lowest common multiple of u and 28?
224
Let c(f) = -2*f**3 - 12*f**2 + 5*f - 2. Let t be c(-8). What is the common denominator of (t/(-6))/(1150/(-345)) and 246/(-44)*1/(-3)?
110
Suppose 0 = -3*p - 4*i + 25, -9*p + 17 = -6*p + 2*i. Suppose 3*o + 2*v - 3*v = 28, -4*v = -p*o + 22. What is the least common multiple of o and 14?
70
Suppose -152*j - 18000 = -182*j. What is the least common multiple of 180 and j?
1800
Let l be 80/(-100) - 111681/5 - 1. What is the smallest common multiple of l/(-72) - (-1)/(-4) and 4?
620
Suppose -10 = -5*p - 4*q + 4, -26 = -3*p + 2*q. Let z(k) = 22*k**2 + 26*k - 2. Let x be z(7). Let d = x - 1234. What is the least common multiple of d and p?
24
Suppose 0 = b + 5*v + 5, 0 = -b - 4*v - 2 - 2. What is the lowest common multiple of 36 and (-2 + 4 - b)*(-9 - -31)?
396
Let h = 134437/449880 + -161/1304. Calculate the common denominator of h and -49/1794.
8970
Let g = -46 - -44. Let l be (-2)/3*(3 + 1766 + g). Let q = -12940/11 - l. Calculate the common denominator of -101/10 and q.
110
Let z(k) = k**3 - 10*k**2 - k + 130. Let o be z(7). Let h = -404 + 273. What is the common denominator of -105/26 and (-4)/o*-2*h/(-2)?
78
Suppose 0*j = 2*m + 2*j - 32, 2*j + 1 = m. Suppose -80 = 6*a - m*a. Let o = -3 - -5. Calculate the lowest common multiple of a and o.
16
Let d(f) = -f + 9. Let i be d(-13). Let y be (-4)/i - (-4794427)/(-2420). Let g = y - -1978. Find the common denominator of -169/42 and g.
420
Suppose -26*g - 257 = -921 - 1052. Calculate the lowest common multiple of g and 3234.
3234
Let m be -2 - -3 - 4/(-4). Let f be m + -3 + 0 + 526. What is the common denominator of -28/3 and -3 + 1 + f/575?
69
Suppose 0 = -2*o - v - 1149, -5*o + o + 5*v - 2305 = 0. Let l be (o/3)/(1/(-3)). What is the least common multiple of 2/(42/(-9)) - l/(-35) and 26?
208
Let d be (-60)/(-210) - (35359452/(-651) + 1). Let l = 54315 - d. What is the common denominator of 11/28 and l?
868
Let p(f) = f**3 - 9*f**2 - 4 + 1 - 17*f + 32*f**2 - 21*f**2. What is the least common multiple of p(6) and 10?
1830
Let h be (1 - -718)/((-126)/72). Let z be 3 + -411 - (-8)/(-4)*2. Let f = z - h. Calculate the common denominator of -6/11 and f.
77
Suppose -4*l = -24*l - 58260. What is the common denominator of -68/3 and l/342 + -1 + 9?
114
Let x(r) be the first derivative of 2*r**3/3 + 2*r**2 - 132*r + 5. What is the smallest common multiple of 15 and x(-10)?
420
Let s be (1 + 14)/(30171/6328). Let x = 1774/1869 + s. Find the common denominator of 77/48 and x.
336
Calculate the lowest common multiple of 128 and (-2 - 1/3 - 3)*(-27 + 15).
128
Let j = 3/37227424811 - -11477847935192222/3237110724440505. Let c = j + -2/7905. What is the common denominator of c and -77/2?
22
Let m = -26 + 31. Suppose m*t + 4*b + 58 = 0, -61 = 5*t - 0*t + 3*b. Calculate the lowest common multiple of 3 - (9/(-6) - 7/t) and 15.
60
Let l be (2/(-6))/(2/(-48)). Let p(x) = -x**3 + 9*x**2 - 8*x + 2. Let j be p(l). Calculate the common denominator of ((-12)/4)/(j/(-26)) and 48/17.
17
Suppose 15*b + 18*b = -219054. Let o = b - -66327/10. Calculate the common denominator of o and 27/40.
40
Let f be -4 - (4/(-6))/(12/126). Suppose 0 = -5*u + 2*h + 114, -11*u + 10*u = f*h - 33. What is the smallest common multiple of 162 and u?
648
Find the common denominator of 61/64 and 6 + 0 + (-462300)/72896.
1088
Let w(v) = -23*v**3 + 5*v**2 - 41*v - 117. Calculate the lowest common multiple of w(-3) and 140.
3360
Let j(q) = q**3 - 7*q**2 - 16*q + 8. Suppose 3*b + 54 = 9*b. What is the least common multiple of j(b) and 9?
234
Let r = 234765/2 - 83810989/714. Calculate the common denominator of 22/663 and r.
4641
Let v be (-2*(-388)/(-176))/((-5)/(-510)). Let t = 451 + v. Let d = 602/165 - 22/15. Find the common denominator of d and t.
11
Let x be (-3)/(-21) + (-20)/140. Suppose -5*a + s + 71 = x, -a + 7*s - 4*s = -3. Calculate the lowest common multiple of a and 9.
45
Let r = -58623/40 - -7291/5. Calculate the common denominator of 9/2096 and r.
2096
Let n = -1 - -7. What is the common denominator of (-1)/n + (-1060)/1920 and -91/44?
352
Suppose 18 = 9*l + 126. Find the common denominator of 6 - (12/l + (-193)/(-6)) and -67/278.
834
Let x = -68 + 43. Let z = x - -28. Suppose -22 - 9 = -3*n - 5*o, z*n = -o + 11. What is the least common multiple of 9 and n?
18
Let l = 19853476693/126 - 157568909. Let v = -368/63 + l. Let w = 1679 + v. Find the common denominator of -63/22 and w.
22
Calculate the least common multiple of 3520 and 2596/(-177)*432/(-33).
10560
Suppose -4*u = -2*n - 2*u - 8, 4*n = -4*u + 16. Let w be (-3 - n)/((-32)/(-8))*88. Find the common denominator of 3 - ((-1133)/w)/(22/4) and -47/18.
198
Let i = -401813/43 - -9345. Let t = i - 1163/172. Calculate the common denominator of t and 59/5.
20
Let v(z) = 158*z - 7568. What is the lowest common multiple of 296 and v(48)?
592
Suppose 66 - 75 + 42 = 33*u. Suppose -4*l + 171 = 3*c, l = 2*c + 3*c - 285. Calculate the lowest common multiple of u and c.
57
Let p = -23694/3343 + -159028793/1537780. Let y = p + 2430/23. Calculate the common denominator of -9/35 and y.
140
Let d = 724364/39 + -18575. Calculate the common denominator of -14/10329 and d.
134277
Suppose -14*i + 15 - 16 = -141. Calculate the lowest common multiple of i and 155.
310
Calculate the common denominator of (-10)/25 + (-6447)/(-3780) and -151/4998.
29988
Let q = 12785 + -138435971/10828. Calculate the common denominator of q and 41/16.
43312
Let y = 3478921/100 - 34790. What is the common denominator of 843/(-1680) - 6/21 and y?
400
Calculate the common denominator of (8 - (-16996)/(-2121))/((-4)/((-56)/(-10))) and 31/165.
16665
Let r = -158051/234 + -155593/26. Let j = -6667 - r. Let u = -895408 + 3581637/4. Find the common denominator of u and j.
36
Let q(x) = 9*x - 36. Let v = -17 + 20. Suppose -5*o + 55 = 5*y, -y - 2*o + 10 + v = 0. What is the smallest common multiple of q(6) and y?
18
Calculate the common denominator of -4 - ((-2)/(-13))/(4 - (-5130)/(-1270)) and (3/3)/(65/3)*1.
65
Let s = -2143/35880 + 154/897. Find the common denominator of s and -89/92.
920
Suppose c - 9 = -3*c + 5*p, p - 3 = 0. Suppose 0 = -3*j + c*j - 4*o - 34, j - 6 = -4*o. Find the common denominator of 21/j*495/(-216) and 57/8.
16
What is the common denominator of 58/1401 and (-16)/(-24)*((-21)/24)/1?
5604
Let m = 560 - 536. Let x(y) = -y**2 + 6*y - 2. What is the smallest common multiple of m and x(5)?
24
Let s = -79 + 73. Suppose -4*b - 2*j + 8 = 0, b + j - 12 = 3*j. Calculate the common denominator of (b/s)/((-220)/1665) and -67/26.
286
Suppose -97 = 8*c - 249. Suppose 191 + 455 = c*s. Let a = -5 + 12. Calculate the least common multiple of a and s.
238
Calculate the common denominator of 19341/(-1800) + 8 + 0 + 3 and -151/150.
600
Calculate the smallest common multiple of 7133 and 94/3102 + (-492)/(-99).
35665
Let y be (16799 + 0)*3/(125 + 7). Let t = y + -763/2. What is the common denominator of t and -11/24?
