24 - (-42)/8. Suppose 0 = -5*r - 3*w + 22, -5*w - 5 = -25. Suppose c = 3*x + r. What is the lowest common multiple of x and 5?
5
Suppose -5*z + 10860 = -0*z. Let k be 7 + -7 + 37034/z. Let s = 21/181 + k. What is the common denominator of 41/3 and s?
6
Find the common denominator of -52/29 and (42/98)/(6/(-20)).
203
Suppose -3*w + t = -9, w = -56*t + 52*t + 16. Let z(q) = -4*q + 2. What is the lowest common multiple of z(-5) and w?
44
Find the common denominator of 57/286 and (-7)/77 - 1546/(-5148).
2574
Let m be 3/(-4)*(-132964)/(-30). Let u = -3321 - m. Let j = 8715 - 69821/8. Calculate the common denominator of j and u.
40
Let r(o) = -o**2 - 10*o - 13. Let v be r(-8). Suppose 5 = k - j, -v*k + j + 12 = -j. What is the least common multiple of k and 9?
18
Calculate the common denominator of 1 and ((-1)/5)/(26/3835).
2
Suppose 0 = -h - 0 + 3. Suppose 5*d = t + 2*t - 19, -t + 25 = h*d. Calculate the least common multiple of t and 7.
91
Let i(b) = -2*b**3 + 8*b**2 - 2*b. What is the lowest common multiple of i(3) and 586?
3516
Let h = -20 + 24. Suppose 0 = -h*w + 5*l + 79, -5*l + 52 = -5*w + 147. What is the lowest common multiple of w and 14?
112
Let r = 804 - 790. What is the least common multiple of 1530 and r?
10710
Let y(c) = -c + 9. Let j be y(6). Suppose 4*k - 3*m = -5*m + 74, -j*m - 29 = -k. Find the common denominator of (-414)/k*15/(-9) and -85/4.
4
Let b = 1/3114 - -42031/24912. What is the common denominator of -95/22 and b?
176
Let q(o) = 2*o**3 + 2*o**2 - 3*o + 3. What is the least common multiple of q(2) and 6*1 + (-65 - -71)?
84
Suppose -3*j + 3*y - 141 = 2*j, 4*j - y + 110 = 0. Let b be (-92)/((6/j)/2). Let g = b + -8247/10. Find the common denominator of g and 81/20.
20
Let g(w) = 22*w - 2. Let j be g(-1). What is the common denominator of 5/j*(-380)/15 and 23/10?
90
Suppose -b = -2*b + 77. Calculate the common denominator of (-56)/b*-1*5 and -91/8.
88
Suppose 5 = -z + 2. Find the common denominator of 1/(10/(-19)) - z and 63/5.
10
Let b = 85 + -84. What is the common denominator of 5/6 and b + 332/(-96) + 8/6?
24
Suppose 0 = -11*v + 10347 + 14073. What is the lowest common multiple of 8 and v?
4440
Suppose -5*w + 50 = -2*x, 4*w = -4*x + 26 + 14. What is the smallest common multiple of w and 536?
2680
Let w = -427574423699678 - -567540056148953902683/1327348. Let c = w + -36673/1244. Let d = -80/97 + c. Calculate the common denominator of -83/6 and d.
66
Let m = 111289/22 - 5062. Calculate the common denominator of m and 73/200.
2200
Let r(u) = -2*u + 1. Suppose 3*i + 0*i = 6. Let p be r(i). Let t = 13 - p. Calculate the lowest common multiple of 10 and t.
80
Let p be 1/3 + (-326)/(-228). Let y = p - -536/57. Find the common denominator of (10/(-8)*3)/1 and y.
12
Let m be (-24437)/20 - 2/5. Let o = 404 - 1610. Let h = m - o. What is the common denominator of -43/16 and h?
16
Let h = -98809/55920 + -9/2330. Find the common denominator of 44/75 and h.
1200
Let y(h) = -h**3 + 9*h**2 + h + 1. Calculate the lowest common multiple of 120 and y(9).
120
Suppose -5*u + 3 + 12 = 0. Find the common denominator of -33/10 and (u/(-24))/(6/(-1112)).
30
Suppose -4*k - 194 = 3*a, -106 = 4*a - 2*a - 2*k. Let l = a + 69. Let y = 12 + -1. What is the lowest common multiple of y and l?
11
Let a = 725826 + -1784080221/2458. Calculate the common denominator of 3/11 and a.
27038
Suppose 0 = -x - 8*x. Suppose -v + 36 + 32 = x. What is the least common multiple of 6 and v?
204
Let k = -59300/33 + 3593/2. Calculate the common denominator of k and (-891)/60 - (-27)/45.
132
Let q(o) = -o**3 + 7. Suppose 5*b = 3*h + 54, 47 = 5*b + h + 5. What is the lowest common multiple of b and q(0)?
63
Suppose 6*o + 1 - 19 = 0. Suppose -o*g + 105 = 2*g. What is the lowest common multiple of 33 and g?
231
Let u = -42 - -42. Suppose u = 2*j - 4*c - 18, 0 = 3*j + c - 3 - 17. Let t = 9 - 1. What is the least common multiple of t and j?
56
Let v(a) = a + 11. Suppose -4*g - 5*r + 19 = 0, -2 = -2*g - 3*r + 5. What is the least common multiple of v(-5) and g?
66
Let v(r) = -5*r + 19. Calculate the least common multiple of v(-4) and 15.
195
Let a = -91804 + 10282161/112. What is the common denominator of -79/8 and a?
112
Suppose -4*w + 40 = o, -w + 3*o + 45 = 2*w. Suppose w = 8*c - 77. What is the smallest common multiple of c and 15?
165
Let j = -35 + 30. Let c = 19 - j. Calculate the lowest common multiple of 15 and c.
120
Suppose -269 - 91 = -9*b. What is the lowest common multiple of 50 and b?
200
Suppose -2*n - 12 = -4. What is the lowest common multiple of 44 and -3 - n*43*2/8?
440
Let v = 35443/140 + -1266/5. Calculate the common denominator of 13/126 and v.
252
Let z = -15/10072 + -26690755/30216. Let a = z - -876. What is the common denominator of -17/5 and a?
15
What is the common denominator of (-188)/(-184) - (4 + 1 + -4) and 1 - -1 - 475/20?
92
Suppose 5*q = -4*m + 12, 0 = -m - q + 2 + 1. Calculate the lowest common multiple of 1 and (-24)/(-4) - (-1 + m + -4).
8
Let u(n) = 38*n - 5. What is the least common multiple of u(1) and 5?
165
Let x = 1082566 - 19523047/18. Let q be (-45 - 1)*178/(-4). Let i = x + q. What is the common denominator of -19/4 and i?
36
Suppose 2*s + 5*m - 90 = 0, 137 - 15 = 3*s + m. Calculate the lowest common multiple of 32 and s.
160
Let g(w) = -w**3 - 4*w**2 - w - 1. Let a be g(-4). Calculate the common denominator of ((-747)/27)/((-2)/a) and (-27)/(-3)*(975/198 + -5).
22
Let f(v) = 2*v**2 + 5*v + 46. What is the lowest common multiple of 2 and f(14)?
508
Let r = -2/353787 - 1735229/2122722. Calculate the common denominator of r and -119/72.
504
Let i = 4 + -1. Let b(z) = 7*z - 1. Let r(n) = 21*n + 401. What is the smallest common multiple of b(i) and r(-19)?
20
Let r(f) be the second derivative of -f**4/12 - 4*f**3/3 - 5*f**2/2 + 21*f. What is the least common multiple of r(-7) and 5?
10
Let y(s) = s + 51. Let u be y(-26). What is the common denominator of 23/14*(6 + -1) and 119/2*((-5)/u - 0)?
70
Let t be (-6)/(-21)*14/1. Suppose u - 235 = -t*u. Suppose 17 = 4*y - u. What is the least common multiple of y and 8?
16
Let o = 8957 - 376147/42. Let c = 80/231 - o. What is the common denominator of 91/16 and c?
176
Suppose -2*z + 12024 = 3*z - 2*v, -4*v + 12 = 0. Let c = z + -48149/20. Calculate the common denominator of -37/16 and c.
80
Let n = 13 + -24. Calculate the common denominator of (-2)/(-14)*1*n and (3040/(-325) - -3) + (-10)/(-65).
35
Let i(f) = 4*f**2 + 3*f**2 - 3*f + 4*f + 12 - 6*f**2. Calculate the least common multiple of i(0) and 82.
492
Let w = -1146 - -1227. What is the smallest common multiple of w and 39?
1053
Let j(n) = -2*n**2 + 45*n - 204. Let k be (-315)/(-10) - (-2)/4. Suppose -4*u = -0*u - k. What is the least common multiple of j(16) and u?
8
Let q = 7 + -11. Let m be (-6 - -2)*25/q. Let b = -19 + m. What is the lowest common multiple of 4 and b?
12
Suppose -3*z - z = -124. Let u = -24 + z. Suppose -5*o + 4*v - 5 = -66, 49 = 5*o - v. Calculate the lowest common multiple of o and u.
63
Let v(j) = 39*j - 172. What is the least common multiple of v(6) and 5?
310
Suppose 2*f = m - 27469, 3*m - 82437 = -0*m - 4*f. Let q be 16483/m - 3/5. Let a = 609949/54950 + q. Calculate the common denominator of a and -55/7.
70
Suppose r - 1 = -8. Let n(g) be the third derivative of g**5/60 + g**4/4 + g**3/3 - g**2 + 8. What is the smallest common multiple of 9 and n(r)?
9
Let y = -6834 - -109301/16. Let l = 5891/2750 + -8/1375. Find the common denominator of l and y.
176
Suppose 0 = 35*a - 15*a - 160. What is the lowest common multiple of a and 31?
248
Suppose -6*r - 30 = -3*n - 9*r, -r + 26 = 3*n. Calculate the least common multiple of 133 and n.
1064
Let x be 0 - (-19786)/24*-2. Let s = x + 1642. Calculate the common denominator of -2/9 and s.
18
Let w(t) = 4*t**3 + t**2 + 2. Let p be w(2). Let h = -10/17 + -373/204. Find the common denominator of h and (p/36)/((-10)/15).
12
Suppose -83*n = -139*n + 30240. What is the lowest common multiple of n and 60?
540
Find the common denominator of -23/354 and (-24)/(-32)*1530/27.
354
Suppose 0*q + 2*q + 690 = 0. Let s be (-2)/(7/((-63)/(-12)))*2. What is the common denominator of 79/6 and q/(-42) + s - -1?
42
Let i be 12486/9*-3 + -4. Let l = i + 24857/6. Calculate the common denominat