4). Suppose o*l + 22 = 217. Let q = l + -30. What is the smallest common multiple of 18 and q?
18
Let t = -1 + 54. Suppose 18 = t*l - 51*l. What is the smallest common multiple of 8 and (-12)/l + 2 - (-40)/30?
8
Let u be (3 + 14/(-2))*4/4. Let v = 30 - u. Suppose -n = -6*q + 3*q + v, -5*q - 5*n = -70. What is the least common multiple of 15 and q?
60
Let k be 8/12*(-3)/(-1). Suppose 3*h = -k*h + 110. Suppose h*d = 18*d + 52. What is the least common multiple of 9 and d?
117
Let n(r) = r**3 - 45*r**2 + 47*r - 93. Suppose -4*k + 52 = h + 3*h, -h + 3*k + 13 = 0. What is the lowest common multiple of h and n(44)?
39
Suppose -3*r + 2*v = -3562, 26*r - 23*r - 3552 = -3*v. What is the lowest common multiple of r and 2?
1186
Let x(k) = -k**3 + 26*k**2 - 59*k + 54. Let b be x(23). Let p = 290 - b. Let s(f) = -f**3 + 6*f**2 - 4*f - 1. What is the lowest common multiple of p and s(4)?
30
Suppose -10667 = -57*w - 2459. What is the least common multiple of w and 16?
144
Let d(b) = 7*b**2 + 10*b - 3. Let r be d(-9). Suppose -5*s - r = s. What is the common denominator of 7/18 and (-2)/20*s/(-2)?
180
Let u be 13/(-13) - (-8)/2. Suppose 5 = h + u. Calculate the smallest common multiple of (-108)/(-30) + -4 + (-164)/(-10) and h.
16
Let d(o) = -192*o**2 - 13*o - 14. Let a be d(-1). Let k = a + 207. Calculate the least common multiple of 6 and k.
42
Let c = -2042 - -751455/368. Let y = c - -2301/368. What is the common denominator of y and -145/186?
372
Let y = 336 - 348. What is the common denominator of -31/74 and 12/154*(492/(-48) - y)?
814
Suppose 0 = 10*w + 212 + 938. Let y = w - -133. Calculate the lowest common multiple of y and 83/4 - 2/(-8).
126
Let s(v) = 2*v**3 - 28*v**2 - 29*v - 13. Calculate the smallest common multiple of (-7)/(-2)*12/21 and s(15).
2
Suppose 25*j - 9523920 = 30*j. Let w = -28521037/15 - j. Let a = w + -3377. Calculate the common denominator of a and 8/33.
165
Let q be (2 - -13)*((-4)/20 - -1). Let b = 31 + -18. Suppose -b*s = -12*s - q. Calculate the lowest common multiple of s and 22.
132
Let a = 1004 - 1001. Let m = 12 - -9. Let z = -16 + m. Calculate the lowest common multiple of z and a.
15
Let m = -1 + 4. Suppose 12481 - 58665 = -46*z. Find the common denominator of -53/86 and 2/m - z/264.
946
Let r = 772 + -764. Let v(d) be the first derivative of 25*d**2/2 - 6*d - 5. Calculate the least common multiple of r and v(2).
88
Suppose 0 = 3*p + 5*d + 231, 15*p = 13*p - 3*d - 153. Suppose -5*a = -a + 60. What is the common denominator of (p/(-64))/((-9)/a) and -27/28?
56
Let c = 2031 - 222. Let g(w) = -3*w**3 - w**2 - 45*w + 79. Find the common denominator of g(2) and c/84 - (-2)/(-7).
4
Suppose 29*r + 26*r = 3245. Let k = 6 + -4. Calculate the least common multiple of r and k.
118
Suppose 10*j = 14*j + 12. Let p = 295/33 + 30/11. Find the common denominator of -4 + 2 - 67/j and p.
3
Let n = -6940097/1215 - -5712. What is the common denominator of -47/1215 and n?
1215
Let y(k) = -k - 4. Let p be y(-8). What is the common denominator of (-69)/(-322)*(-111)/9 and (-8)/p - 33/2?
14
Suppose 5*s + 2*k - 130 = -50, 0 = 5*s - 5*k - 115. Calculate the least common multiple of 58 and s.
522
Let m = 1252 - -4121. Suppose -l + m = -4*l. What is the common denominator of 47/8 and l/(-231) + 8/(-44)?
56
Let x = -74725891987859735/1576 + 47414908810462. Let c = x - 21814251/8. Let k = c - 6/197. Find the common denominator of k and 83/22.
44
Suppose 13380 = -3259*v + 3269*v. Calculate the least common multiple of v and 12.
2676
Let x = 1512 - -286. Calculate the least common multiple of 16 and x.
14384
Let i = 801/4 - 83831/420. Find the common denominator of i and -117/154.
2310
Let k(b) = 8*b - 60. Let h be k(21). Calculate the common denominator of 149/12 and (-10)/25*(-176)/h.
540
Let p be -29 - (-3 - (4 + -3)). Let f = -57 - p. Let i = 59 + f. Calculate the least common multiple of i and 6.
54
Let x = 21969 - 153793/7. Calculate the common denominator of x and 35/1801.
12607
Let w(z) = -z**3 + 4*z**2 + 2*z - 6. Let n be w(4). Let i be ((-4)/((-40)/(-45)))/(1/n). Calculate the lowest common multiple of 32 and 6*(-3 + 51/i*-1).
32
Let v = -22584537637/3129155388 + 679/3119796. Let a = -5/1003 + v. What is the common denominator of a and 44/59?
531
Let b be (-87)/(-203) + (2 - 174/14). What is the common denominator of 17/8 and (-39)/104*24/b?
40
Suppose -4*y = 3*f - 176, -4*f + 204 = 3*y - 33. Let l = -5853 + 5877. Calculate the smallest common multiple of f and l.
120
Let h(b) = 11*b + 73. Let q be h(21). Find the common denominator of (-57)/q*(-118)/3 and -7/22.
88
Suppose 0 = 3*y - 3, -13*g + 11*g - y = -153. Suppose -10 = -77*d + g*d. Calculate the lowest common multiple of d and 10.
10
Let p = -94 - -77. What is the common denominator of (-7)/(-10 - p) - (-136)/258 and -16?
129
Let s(x) = 39*x**3 - 10*x + 13. Let u be s(2). Suppose 28*o - u - 199 = 0. What is the least common multiple of 10 and o?
90
Let j = -71 - -135. Let w = 84 - j. Suppose y - 4 - 4 = 0. What is the lowest common multiple of w and y?
40
Suppose 0 = -v + 1 + 1, 0 = -4*w + 4*v + 148. Find the common denominator of 4 + -2 + ((-55)/18 - 2) and w/(-13) + 173/20.
180
Let r = -1319688 + 34368505/26. Let z = -2177 + r. Let h = -3175 - -31821/10. What is the common denominator of h and z?
130
Suppose -16*i = -20*i - 1332. Let u = i + 355. Calculate the lowest common multiple of 434 and u.
4774
What is the common denominator of 47/1050 and 12 - (2 - 6562/(-765))?
3150
Suppose -1064 = -2*d + 5*k, 59*d - 57*d - 1064 = 3*k. What is the least common multiple of 12 and d?
1596
Let j = 6/23 + -219/46. Let h(a) = -a**2 + 28*a + 42. Let g be h(16). Find the common denominator of 44/(-22) - g/(-16) and j.
8
Let q be 8643/(-24) + 7/56. What is the common denominator of ((-158)/q)/(2 + (-4)/3) and -59/24?
120
Let w(y) be the third derivative of -y**4/4 + 43*y**3/3 + 10*y**2 - 2*y. Calculate the lowest common multiple of 26 and w(11).
260
Let y(o) = -o**2 - 2*o. Let m(z) = -9*z**2 - 7*z - 7. Let h(i) = -m(i) + 6*y(i). What is the least common multiple of h(3) and 8?
152
Suppose 5*g + 5 = 8*w - 7*w, w + 3*g - 29 = 0. What is the least common multiple of (-25)/w*-4 - (-4 - -1) and 5?
40
Let g be 1133092/(-416) + 4/26. Let d = 2734 + g. Let u = 67/40 - d. Calculate the common denominator of u and -25/8.
40
Let y = 10694 + -5740. Let o = y - 321977/65. Find the common denominator of 113/10 and o.
130
Let j = -101 + 65. Calculate the common denominator of 1/6 and 2/(-3) - 46/j.
18
Let k = -292291 - -133284845/456. Calculate the common denominator of k and 37/570.
2280
Calculate the common denominator of ((-9)/(-15))/(8/(-460)) and ((-963)/(-240)*-2)/((-21)/28).
10
Let t(o) = -o**2 + 38*o + 62. Let b be t(34). Let h = -166 + b. Calculate the smallest common multiple of h and 14.
224
Suppose 0*v + 4*n - 30 = -v, -5*n + 135 = 5*v. What is the least common multiple of v and -4*(-133)/(-70) + 8 - 216/(-10)?
286
Suppose h - 67 = 2*z, 4*h + 3*z - 2*z - 304 = 0. Suppose 0 = -h*o + 74*o + 102. What is the lowest common multiple of o and 10?
510
Let z = -1424233/30 - -47479. Calculate the common denominator of z and -66 - -63 - 397/(-90).
90
Let j(r) = 46*r - 488. Calculate the lowest common multiple of j(11) and 466.
4194
Let h(y) = -y**2 - 6*y + 15. Let n be h(-7). Let q = 20 - n. Calculate the least common multiple of 1 - -23 - (-20 + 23) and q.
84
Let b(c) = 3*c - 46. Suppose -210*w + 222*w = 72. Find the common denominator of b(w) and 176/(-15) - 1/(-3).
5
Let i(x) = -682*x**3 - 3*x**2 + 7*x - 24. Let a be i(-6). Let b = -50026819/340 + a. What is the common denominator of 27/4 and b?
340
Let z = -287 + 296. Suppose -s - s - 4*p + 16 = 0, 5*s = 2*p + 4. Calculate the least common multiple of z and -6*s*(-3)/12.
9
Find the common denominator of 52/1419 and 7*4/(-84) + 430/(-132).
2838
Let r(f) = f**2 + 8*f - 87. Let k be r(-15). Suppose i - 4*n + 14 = n, k = 3*i + 5*n. Calculate the lowest common multiple of (6 + 6)/(1 - -1) and i.
6
Let x = -377041 - -352533294/935. What is the common denominator of x and 37/850?
9350
Suppose -143*x = -148*x - 250. Let g = -34/303 + -2401/505. Find the common denominator of g and ((-65)/x)/(2 - 228/105).
60
Let q = -95997107/1444 - -66480. Find the common denom