
Let m = -623 + 14326/23. Calculate the common denominator of (2259/(-1255)*58/(-18))/((-4)/30) and m.
46
Suppose -8*o = 22 - 102. Calculate the least common multiple of 1582 and o.
7910
Suppose -48 = -0*a - 3*a. Let r(c) be the first derivative of -11*c**2/2 + 112*c - 126. Calculate the lowest common multiple of a and r(10).
16
Let y = 82 + -85. Let z be y*3*(-2)/6. Calculate the lowest common multiple of 8 and 9/(z + 0) - (-78 - -4).
616
Let r(y) = 3*y**2 + 3*y. Let f(a) = -a**2 + 137*a + 1166. Calculate the lowest common multiple of r(-3) and f(-8).
18
Let i(h) = -15*h - 3. Let t be i(-1). Find the common denominator of -27/13 and 4 - ((-74)/t - -6).
78
Let o(t) = 16*t + 38. Suppose -62*c - 12 = -58*c, -5*c = 3*a - 9. Calculate the least common multiple of 20 and o(a).
1660
Let t = -647 + 642. Find the common denominator of -56/3 and (-43632)/(-84420) + 3/t.
1407
Suppose 0 = -4*q - 5*k - 126 + 205, -q + 2*k + 10 = 0. Calculate the smallest common multiple of q and 368.
368
Let d be -2 - 5/((-210)/(-12)). Let a be (1 - 30/(-14))/(8/(-6)). Let c = a - d. Find the common denominator of -23/10 and c.
70
Suppose -l = -5*i + 3*l - 8, 2*i + 4*l = 8. Suppose -r - 3*t - 6 = 0, -4*r + i*r = -5*t + 58. Calculate the common denominator of (3/r)/(4/300) and -17/10.
20
Let b = -10427804793070073183/802230 - -12998522609566. Let x = b + 2/26741. Calculate the common denominator of 85/138 and x.
690
Let o = 4/291 - 6721/2037. What is the common denominator of (5495/(-735) + 0 + 7)*17/4 and o?
42
Let w(u) = u + 9. Let k be w(-6). Suppose n = k*n. Find the common denominator of (95/15)/(n + -1) and -71/4.
12
Suppose -k + 70 + 81 = 3*p, -p + 685 = 5*k. Suppose -k - 1224 = -10*v. Calculate the least common multiple of v and 68.
136
Suppose -4*h = -4*d - d - 1422, 4*d + 1142 = h. Let g = d - -290. Calculate the lowest common multiple of g and 104.
104
Let q(i) = -5*i**2 + 8 - i**2 + 26*i - 16*i + 17*i**3 - 13*i. Let w be q(-4). Let o = w + 18653/16. What is the common denominator of -103/18 and o?
144
Let v be ((-484)/(-76))/(1/(-367)). Let k = v + 2340. Let i = -601/205 + 30/41. Find the common denominator of i and k.
95
Let n = 5155 - 4000. What is the least common multiple of 420 and n?
4620
Suppose 3*p = 2*u + 69, -18 = -5*p + 2*u + 93. Suppose -3*x - 11*h + 47 = -12*h, x - p = -5*h. What is the lowest common multiple of x and 84?
336
Suppose 5*j = -5*z + 301 + 94, -3*j + 277 = -5*z. Let p = -2209/3828 - 64/957. What is the common denominator of p and 24/j - 877/(-42)?
132
Let x(f) = -251*f**3 + 8*f**2 - 11*f - 70. Calculate the lowest common multiple of x(-2) and 56.
13944
Let w be 730/820 + 2 + -3. Let z be 21*(-160)/205 + 2. Let x = z + w. Calculate the common denominator of -47/6 and x.
6
Suppose -2*f = 5*f - 1631. Let l = -191 + f. Calculate the smallest common multiple of l and 60.
420
Let g = -603880487/1122 + 538218. Find the common denominator of g and 131/204.
2244
Let r(y) = -y - 14. Let f be r(-13). Let m be -2 + (f + 1)/(-4). Find the common denominator of m*148/840 + (-4)/(-10) and -65/12.
84
Let q(l) = 4*l + 11. Let y be (-6)/(-69) - -2*(-150)/276. Suppose 4 = 2*i + 2. What is the least common multiple of i and q(y)?
7
Let g = -9029/82574 + -466/779. Suppose -3*b = -7*b + v + 3, 5 = v. Find the common denominator of g and (b - 2) + (-69)/(-20).
1060
Calculate the common denominator of (-2)/(-11) + (-1326)/12012 and -95/36.
252
Calculate the common denominator of (279741/252)/77*(-2)/56 and 19/180.
5040
Let v(l) = -8940*l + 5. Let a be v(2). Let s = 500393/28 + a. What is the common denominator of -127/24 and s?
168
Let a be 56/198*70266/(-16). Let c = 17038226/13689 - -16/13689. Let t = a + c. Calculate the common denominator of t and -1/8.
88
Let l(c) = 817*c + 3. Let y be l(10). Let o = 171665/21 - y. Let r = 10863 - 325901/30. Calculate the common denominator of o and r.
210
Let l(m) = -7*m + 2. Suppose 585*t = 532*t + 761 + 1465. What is the lowest common multiple of t and l(-4)?
210
Let i(t) = -t**2 + 25*t + 952. Let x be i(0). Let d = -941 + x. Calculate the smallest common multiple of 94 and d.
1034
Suppose 0 = 10*i - 17*i - 1064. Let o = 162 + i. Calculate the smallest common multiple of 6 and o.
30
Suppose 0 = -6*z - 193932 + 37044. Let v = -1568971/60 - z. Calculate the common denominator of -101/32 and v.
480
Let k(l) be the first derivative of l**2/2 + 5*l - 1084. Suppose -2*i = -4*u - 2 + 20, 5*u = 5*i + 20. What is the least common multiple of 6 and k(u)?
30
Let l = 10720 + -10702. Calculate the smallest common multiple of l and 4088.
36792
Let c be 1508/42 - 4*(-7)/294. Suppose -31*y - 165 = -c*y. Calculate the least common multiple of y and 21.
231
Let c(v) = -6*v**2 + 12*v - 35. Let t be c(5). Let s = t - -49. Let h = s + 77. Calculate the least common multiple of 3 and h.
3
Let c = 26 + 30. What is the lowest common multiple of c and 33 + (-35)/(8 - 1)?
56
Let m = 2938 + -2932. Suppose q - 5*p = 4 - 2, 4*q + 4*p = 104. What is the lowest common multiple of m and -1 + q + 0 + -1?
60
Let a = -1075/191 - -942283/170372. Calculate the common denominator of 28/11 and a.
9812
Calculate the common denominator of -83/12 and ((-5 - (-22098)/2454) + -4)*380/(-32).
4908
Let y = 12 - 0. Suppose 40 = y*u - 8*u. Let h(p) = p**2 - 7*p - 21. Calculate the lowest common multiple of h(u) and 12.
36
Let h = -278 - -290. What is the lowest common multiple of 7/(-14) + 134/4 and h?
132
Let z = 3937 - 3940. Let j(x) be the third derivative of -x**6/20 - 3*x**5/20 + x**4/12 - 5*x**3/6 - x**2. What is the least common multiple of 8 and j(z)?
280
Let w(g) = -2*g**3 - 18*g**2 + g + 8. Let f be w(-9). Calculate the lowest common multiple of 0*3/(-3) - (f - 24) and 10.
50
Let z = 319 - 207. What is the common denominator of (2 - (-175)/z) + -1 and 57/80?
80
Let a = 1362 + -1355. What is the smallest common multiple of a and 1138?
7966
Let c = -664 + 816. What is the least common multiple of c and 22?
1672
Suppose 3*q + 50 = 13*q. Suppose -75 = 3*c + 4*m - 278, -q*c = -5*m - 385. Calculate the smallest common multiple of 1 and c.
73
Let b = -25296115269/24760060 + -3/2476006. Let x = 1021 + b. Find the common denominator of x and -99/40.
40
Find the common denominator of -3/14 and (1377/72 - 8)*(-7)/(-91).
728
Let j = -303629 - -174890249/576. What is the common denominator of j and 53/327?
62784
Let m = -122132449/906 + 134804. Calculate the common denominator of m and 49/30.
4530
Let y be 2 + -4 + -11*3. Suppose 40*c = 32*c - 1160. What is the least common multiple of c/y + (-4)/(2*14) and 12?
12
Let x(b) = b**2 + 42*b + 552. Calculate the smallest common multiple of 17 and x(-43).
595
Let x(j) = -3*j - 5. Let u be x(4). Calculate the least common multiple of 22 + -1 - 0/2 and (221/(-78))/u*(-12)/(-2).
21
Let d(s) = -20*s + 6084. Suppose 0 = o - 77 - 31. Calculate the lowest common multiple of o and d(303).
216
Suppose w - 4*j + 20 - 60 = 0, -w = -3*j - 35. Calculate the least common multiple of 4 and w.
20
Let u = -133 - -133. Suppose -7*q - 10 = -2*q, u = -3*r + 4*q + 116. What is the lowest common multiple of r and 48?
144
Let o be (-896)/2304*(-1 + (-90634)/7). Let b be 1*(-4)/2*2520. Let k = b + o. Find the common denominator of -181/30 and k.
90
Find the common denominator of (51/(-1700))/((-9)/(-16))*(-162)/68 and -27/275.
4675
What is the least common multiple of (-3)/2*-105*50/225 and 315?
315
Let z = -50/641 + 132645/1741597. Let b = 154559/168454 - z. What is the common denominator of -65/8 and b?
248
Let y = 27/28069 - 3750997/18525540. What is the common denominator of y and 129/4400?
13200
Let m be 75/(-30)*(16/10 - -2). Find the common denominator of ((-20559)/180)/(-11) + m and -123/80.
240
Let q(b) = -50*b**2 - b**3 - 53 - 49*b**2 - 5*b + 77*b**2. What is the smallest common multiple of q(-22) and 6?
114
Let x = 5/224 - 23087/672. Let w = 204064/9 - 22708. Let b = x - w. What is the common denominator of b and -149/12?
36
What is the common denominator of (-6)/51 + 11638/70312 and -91/248?
11656
What is the smallest common multiple of ((-17)/((-136)/32))/(4/(-3) - -2) and 290?
870
Let k(m) = -5 - 2*m**2 + 23*m - 8*m**2 - 3*m**2 + m**3 - 3. Let r be k(11). Let g(s) = -s**2 + 8*s + 1. What is the least common multiple of 14 and g(r