pose -3*a + 16 = -k. What is the least common multiple of a and 2?
10
Let m be (5 + 37)/(-7)*(-82)/(-22098). Let y = -397811/824992 + m. Calculate the common denominator of y and -121/10.
1120
Let p = -105 - -107. Suppose -p*a + 6*a + 32 = 0. Calculate the common denominator of -119/10 and 154/287*42/a - -4.
410
Suppose -21*o + 19*o - 4 = 0. What is the common denominator of (o - 2)/20 - (-1282)/60 and 32/37?
222
Let a(g) = -3*g - 13. Let q be a(5). Let x be (-972)/q - 6/(-21). Suppose 3*u + 2*b = 36, -5*u = -b - 4*b - x. What is the smallest common multiple of 14 and u?
70
Calculate the lowest common multiple of (-8)/(-2) - ((23 - 33) + -20) and 187.
374
Suppose -14*q = -46 + 466. Find the common denominator of 14/4*(-27)/(-14) and (14/(-8) - -1)/q*-42.
20
Let a = -8304421/6 - -1380939. Let h = 3124 + a. Calculate the common denominator of h and -38/3.
6
Let d(y) = -11*y**3 + 5*y**2 + 8*y + 16. Calculate the lowest common multiple of 768 and d(-4).
768
Suppose -10 = 2*a, 3*k + 5 = 5*a - 0. Let w be (-8 - k)*((-10)/4 + -1). Calculate the lowest common multiple of 10 and (-4 - -4)/1 - w.
70
Let o = 12014 - 11200. What is the lowest common multiple of 1924 and o?
21164
Let l(v) = 23*v + 2. Let d be l(5). Let r = d + -109. What is the least common multiple of 40 and r?
40
Let p be ((-2982)/36)/(-1)*2. Let d = -321/2 + p. What is the common denominator of (-488)/(-20)*(-1)/2 and d?
30
Let u(x) = -3*x**2 - 13*x - 8. Let f(i) = 2*i**2 + 23*i - 17. Let h be f(-12). Let q be u(h). Let l = -15 - q. What is the least common multiple of l and 6?
6
Suppose 2*y + 96*g = 97*g + 2, -3*g + 34 = 4*y. Calculate the common denominator of y and 3 + ((-166)/(-24) - 3).
12
Let h be 12/54 - (-452)/(-9). Suppose 5*r + 81 = 2*n, -3*n = -7*n + 5*r + 177. Find the common denominator of 530/h*2/(-2) and n.
5
Suppose 61*i - 35*i - 13884 = 0. Let x = i + -528. Calculate the smallest common multiple of x and 27.
54
Let z = 189287 - 196858443/1040. What is the common denominator of 113/36 and z?
9360
Let w(v) = -344*v**2 + 10*v + 8. Let m be w(-4). Let j = 199279/36 + m. Let q = j + -829/36. Calculate the common denominator of 2/11 and q.
22
Suppose 0 = 2*m + m - 6. Let v(k) = 8*k - 2. Let w(h) = 1176*h + 102368. What is the lowest common multiple of v(m) and w(-87)?
56
Let r(t) = -t**3 - 5*t**2 - 5*t + 5. Let p be r(-3). Suppose 6*o + 3*z = 2*o + 27, 10 = p*z. Find the common denominator of -85/38 and (o - 1) + 23/(-16).
304
Let r = -155608 + 1708004/11. Let s = r - -330691/990. What is the common denominator of s and -97/6?
90
Calculate the common denominator of 33/1460 and (-24)/3*(31/93 + (-4)/30).
1460
Suppose -53*r + 1080 = -47*r. Calculate the common denominator of (-6)/(-30) + 1479/r and -97/8.
24
Suppose 12810 = 15*v + 3375. Let z = -1355/2 + v. Find the common denominator of (-5)/(-25) + (-261)/(-370) and z.
74
Let j = -1/15037763 - -816355040014/496246179. Let n = j + -1647. Calculate the common denominator of n and -26/33.
33
Let f(j) = j**3 - 141 - 144 + j**2 + 250. Let d be f(0). Calculate the common denominator of 58/5 and 9/((-63)/d)*2/28.
70
Suppose 15 = 2*h + h. Suppose -h*u = -37 - 3. Suppose 4 = 2*m - u. Calculate the lowest common multiple of m and 18.
18
Suppose -k - 4 = -2*k. Suppose -15*j - 1923 - 177 = 0. What is the common denominator of 3/4 and (-1402)/j + 3/(42/k)?
20
Let s = -134 - -136. Suppose 4*y + 164 = 3*w - w, s*w - 173 = -5*y. Calculate the smallest common multiple of w and 112.
336
Let c(l) = 6*l**2 - 2*l**2 + 10 - 93*l**3 + 16*l + 91*l**3 + 2*l**2. Calculate the smallest common multiple of 30 and c(-3).
210
What is the common denominator of (1254/342)/(4/(-14)) and -37/29992?
89976
Calculate the lowest common multiple of ((-10)/(-6))/((-10)/(-24)) and 2008.
2008
Let d(z) = -7*z**3 - 3*z**2 + z + 3. Let r be d(-2). Let v = r - 30. What is the common denominator of (-22)/v*(-3)/(1 - 13) and 109/6?
30
Suppose 189 = -5*z + 2*z. Suppose 9*a - 7*a - 46 = -2*w, a + 40 = 2*w. What is the common denominator of (-24)/w + 18/z and 31?
7
Let f(k) = -k**2 + 105*k + 3124. Let m = -5 + 10. Calculate the least common multiple of m and f(-24).
140
Let z = -18283/430 - -4/215. Let u be (-3362)/294*2 + 0. Let l = u - -10/49. Find the common denominator of z and l.
6
Let o = -340021991 - -1872841117127/5508. Let n = 2/442035 - 393226/67631355. Let u = n + o. Find the common denominator of -85/12 and u.
36
Let c = -65 + 65. Suppose 4*t + 7*t - 242 = c. Calculate the least common multiple of 8 and t.
88
Suppose 3*o - q - 4*q - 410 = 0, -2*o + 264 = -q. What is the smallest common multiple of o and 130?
130
Let l = 256637/12 + -21374. Suppose -268*m = -283*m + 105. Find the common denominator of l and -7 + m + (-516)/192.
48
Let v = 196 - 55. Let f = -135 + v. Let i = -26 + 32. What is the smallest common multiple of f and i?
6
Suppose 2*j + 7*j - 1899 = 0. Suppose -j = -4*a - 127. Let b(r) = 5*r**2 + 4*r + 3. Calculate the smallest common multiple of b(-2) and a.
105
Let z = 818177175/2674 - 305975. Find the common denominator of z and 51/4.
5348
Let l(w) = -32*w**2 + 229*w - 10. What is the least common multiple of l(6) and 636?
636
Let k = -4106 + 6873. Suppose -8*i + k - 367 = 0. Calculate the common denominator of 68/9 and (-12)/9 + i/(-126).
63
Calculate the lowest common multiple of (-7*(-3 + 1))/(616/352) and 650.
2600
Suppose 3*t + y - 9256 = 16001, 0 = -6*t + y + 50523. What is the least common multiple of t and 44?
92620
Suppose 0 = -59*q + 2091 - 85. Calculate the smallest common multiple of q and 88.
1496
Let m(h) = 177*h**2 + 32*h + 102. Calculate the least common multiple of 36 and m(-3).
19188
Let q(h) = -h**3 - 13*h**2 + h + 15. Let g be q(-13). Suppose 3*i = g*n - 49, 28 = 3*n - 5*i - 44. Find the common denominator of -51/10 and n/15 + 5 + (-32)/6.
10
Suppose 5*v - 2 = -22. Calculate the common denominator of v/3 + 1112/96 + -2 and (-18)/19*3/2.
76
Let y = -6334 - -82373/13. Let c = 1876059/26 - 72181. Let l = c + y. What is the common denominator of l and -81/14?
14
Suppose -5*n + n = -5*y + 5066, 0 = -5*y + n + 5069. What is the smallest common multiple of y and 3?
1014
Let d be (60/(-18))/((-1)/(-54)). Find the common denominator of ((-126)/40)/(-3)*(-700)/d and -63/44.
132
Let g(j) = -14*j + 2. Let h be g(-1). Suppose 0*b + y = b - 6, -h = 4*y. What is the common denominator of 25 and -1 + b - 35/25?
5
Let y(l) = l**3 - 11*l**2 - l + 17. Let v be y(11). Find the common denominator of 51/5 and (2 + (-1 - -2))*(-97)/v.
10
Let f = -32 + 74. Let w = 29 - f. Find the common denominator of -1*2/(-6) - 4805/(-3162) and w.
34
Let y = -7 - -9. Suppose -3*s - y*s + 44 = 3*c, -2*s = 5*c - 10. What is the least common multiple of 40 and s?
40
Let u(z) = -11*z + 49. Let j be u(23). Let t = j + 231. Calculate the lowest common multiple of 3 and t.
27
Let o be (-940)/45*(-9)/2. Suppose k - 80 = -2*l, -4*k + l = -271 - o. What is the lowest common multiple of k and 4?
180
Calculate the common denominator of 78/(-77)*-3 + (-2)/11 and (3354/306 + -11)*138/(-16).
476
Let o = -441 + 621. Calculate the lowest common multiple of (-10)/(-45) + 536/18 and o.
180
Let d be 5/75 - (10/(-15) + 1). Let t = 362/105 - d. Calculate the common denominator of t and -79/94.
658
Let m(i) = -3*i**3 + 3*i**2 + i + 24. Let d be m(-4). Suppose 0 = -5*w + 4*r + d, -r - 10 = -5. What is the least common multiple of w and 15?
240
Let h = 347 + -343. Suppose 32*g - 4*g = 504. Calculate the smallest common multiple of h and g.
36
Let i = 6761964805/2902 + -2330105. Calculate the common denominator of i and 51/4.
5804
Let g(h) = 6*h**2 + 360*h - 2844. Calculate the smallest common multiple of 63 and g(8).
1260
Let i be (1 + -7)/((-10)/(-15)). Let m(l) = -l + 1. What is the lowest common multiple of m(i) and (-65205)/(-3220) - (90/(-8))/(-5)?
90
Let x(j) = j**2 + 31*j - 15. Let k be x(-29). Let i = k - -347. What is the smallest common multiple of i and 10?
1370
Let m(z) = -4*z - 56. Let y = 52 - 71. Let l be m(y). What is the common denominator of -7/10 and ((-142)/(-580))/((-4)/l*2)?
580
What is the common denominator of 10355/(-1742) - ((-4)/(-74) + (-13216)/2183) and -149/12?
10452
Let o(s) = -5*s**2 + 23*s + 14. Let w(q) = q**2 - q + 1. Let y(i) = o(i) + 6*w(i). Let t = -11