 2218. Let v = z - -450. Calculate the least common multiple of v and 22.
66
Let i = 4009 + -4001. What is the lowest common multiple of i and 12?
24
Let j = 1813407072 - 135999679708/75. Let v = -78008 + j. Find the common denominator of 29/27 and v.
675
Let v(d) = 2*d**2 + 14*d + 14. Let c be v(-6). Suppose c*t + 11*t - 78 = 0. What is the smallest common multiple of t and 18?
18
What is the lowest common multiple of (6/(-8))/(1/(-16)) and (-2)/(92/24 - 4)?
12
Let w = 53199 - 13406131/252. What is the common denominator of 23/63 and w?
252
Let k = 670 + -305. Suppose -358*j = -k*j + 420. What is the smallest common multiple of j and 30?
60
Let y(k) = 1455*k + 4710. Calculate the least common multiple of y(3) and 4950.
54450
What is the common denominator of (11/198)/((-52)/1963) and 61/90?
360
Let r = 14 - 11. Let i be 2 - r/(-63)*-80. Let j = i - 16/3. Calculate the common denominator of 68/15 and j.
105
Let p = 14/159 - 2207/1590. Let y be ((-6)/12)/((-1)/2) - -2. Calculate the common denominator of p and y - (-2)/5*(-90)/7.
70
Calculate the common denominator of 2 + 5 - ((-22353)/(-3045) + (-6)/15) and -88/609.
609
Let w be 3/((-744)/(-112)) - -1. Let b = w - 628/155. Find the common denominator of b and 25/2.
10
Let k(g) = 6*g**2 - 22*g - 22. What is the smallest common multiple of 24 and k(-1)?
24
Suppose 4*u - 3*q - 51 = -0*u, 3*q + 66 = 5*u. Let m(s) = -s**2 - 4*s + 3. Let f be (-4)/10 + 39/(-15). What is the smallest common multiple of m(f) and u?
30
Suppose 953 = 21*i - 622. Suppose 3*c - 5*s - 100 = 0, 5*s - i = 5*c - 7*c. Calculate the lowest common multiple of 4 and c.
140
Calculate the least common multiple of 12 and ((-3668)/(-3)*54/21)/2.
1572
Let i be (2 - 134/3)*(-33)/(-114). Let n = i + 1631/190. What is the common denominator of 4 - 4 - 152/(-30) and n?
30
Let p be (-80)/45 + 2 + 293987/(-36). Let l = p - -8174. What is the common denominator of l and (6/(-200))/((-12)/(-376))?
300
Let i(q) = 378*q - 3430. Calculate the smallest common multiple of 500 and i(10).
3500
Let n = -5/366 + 3067/3477. Find the common denominator of n and 63/22.
418
Find the common denominator of 17/4 + -3 + 325625/(-240500) and -91/296.
3848
Let k(t) = 23*t**2 - 2*t + 3. Let i be k(3). Let j = 977 + -975. Calculate the lowest common multiple of 9 and ((-1)/j)/((6/i)/(-1)).
153
Let y be 12/9*(-12)/8. Let a be ((-8)/y)/(-1)*-10. Suppose 0*r = 2*r - a. Calculate the lowest common multiple of 18 and r.
180
Suppose -u = -0*u + 3*m - 3, 3*m = 4*u + 63. What is the least common multiple of 7 and 1/(u/105)*-4?
35
Let y = 286 + -535/2. Let i = -1/27390 - -116408/13695. Find the common denominator of y and i.
2
Suppose -32*p - 2*t = -30*p - 1138, 0 = 5*p - t - 2815. What is the lowest common multiple of p and 60?
2820
Let o = -606 + 987. Let x = -363 + o. Calculate the smallest common multiple of x and 9 + 0 + 0 + 1.
90
Suppose -3 = -r + 1. Let p = -9055/7 - -1290. Find the common denominator of p and ((-26)/r*(6 + -8))/(-44).
308
Let m be (-1*1)/(8*7/3304). Find the common denominator of (67/(-12))/(20/(-6)) and 5/(5*12)*m.
120
Suppose 3*d + 4*x - 457 - 36 = 0, -5*d + 830 = 5*x. Calculate the lowest common multiple of d and 247.
2223
Let h(w) = -w**3 + w**2 - w + 3. Suppose -985*a = -940*a - 270. What is the least common multiple of h(0) and a?
6
Let i = 662 - 466. What is the smallest common multiple of 2156 and i?
2156
Suppose -4*g - 3127 - 17705 = 0. Let m be 1/(-1) + (-8970)/g. Let z = m + -1/124. Find the common denominator of -82/21 and z.
21
Suppose 5*j + 3593 = u, 2*j - 10711 = -28*u + 25*u. What is the lowest common multiple of u and 11?
39303
Suppose 0 = -k + c - 3*c - 6, -c = -k + 9. Suppose 48 = 6*m - 4*m + k*s, 2*m - s = 63. What is the least common multiple of 33 and m?
330
Suppose 2*o - b = -17, -26 = -0*o + 5*o + 3*b. Suppose -2*m = 14 + 28. Calculate the common denominator of (o/m)/((-2)/186) and -15/4.
4
Let z be 5 - (2488/8 + -6). What is the common denominator of ((-470)/z)/(4/3) and (-3)/(-10)*(-214)/(-12)?
40
Let h = 6/335 - -29803/670. Let v be (-380534)/44608*(-32)/(-640). Let z = 11/3485 - v. Calculate the common denominator of z and h.
128
Let h = 7 + -4. Let i = -22571/12 - -3783/2. What is the common denominator of ((-92)/(-18))/(44/h) and i?
132
Let l be ((-12)/10)/((-8)/20). Suppose 109 = 3*s + z, -2*z = l*s + 2*z - 112. Suppose 6*j - 33 = 87. What is the smallest common multiple of s and j?
180
Let q = 23/1638569 + 9111999616/5884101279. Let g = q + -1/1026. What is the common denominator of g and -4/63?
126
Let f be 286/28 - (-6 + (-40)/(-7)). Let d = f + -103/10. What is the common denominator of 11/35 and d?
35
Calculate the lowest common multiple of 945 and (17 - (-15 + 20))/(3/9).
3780
Suppose -273*n = -10867 - 215177. Calculate the least common multiple of 69 and n.
828
Let u = 1331/10 - 133. Let p = u - -13/270. What is the common denominator of ((-291)/108)/((-1)/2) and p?
54
Let s = 203 - 367. Let c = 184 + s. Calculate the lowest common multiple of c and 28.
140
Let n(i) = 479*i - 32. Calculate the lowest common multiple of 3 and n(1).
447
Find the common denominator of 55/7 and ((-15)/20)/(615/(-160)) + 1.
287
Let g = -109 + 111. Suppose -5*j = -5, -g*j = -5*t - j + 14. Suppose -t*x + 13*x = 300. Calculate the smallest common multiple of 33 and x.
330
Calculate the least common multiple of (27/(-18))/(3 - 3285/1100)*-12 and 1452.
14520
Let k = 1 - 2. Let u(n) = -3*n**3 + 2*n + 1. Suppose 0 = 8*c + 1055 - 1095. What is the smallest common multiple of u(k) and c?
10
Let i(h) = 10*h - 3. Let l be ((-4 - -5) + -1)/(5 - 3). Suppose 5*j - 85 - 20 = l. Calculate the least common multiple of j and i(3).
189
Let m(r) = 850*r - 973. What is the least common multiple of 7 and m(10)?
52689
Let c(a) = 110*a - 3*a**2 - 54*a - 60*a - 1 + a**3. Let x be c(6). Suppose 5*r = -x + 133. Calculate the lowest common multiple of 22 and r.
110
Let s = -7256/9 - -2031167/2520. Find the common denominator of 151/1260 and s.
2520
Suppose n + 4*n = -4*c + 814, -10 = 5*n. Suppose -29 = 5*z + c. Let s = 67 + z. Calculate the smallest common multiple of 22 and s.
220
Suppose 5*w + 705 = 4*h + 6*w, 5*h + 9*w - 889 = 0. Calculate the lowest common multiple of 198 and h.
1584
Let r = -2601765/3425656 + -4/32939. Calculate the common denominator of r and 25/4.
104
Let v = 34170173/7353 - -1184/817. Let b = -4655 + v. Find the common denominator of -34/9 and b.
9
Let v(b) = -b**3 + 3*b**2 + 2*b - 2. Let s be v(0). Find the common denominator of (s - -1)/(297/153) and (-2 + 46/12)*-8.
33
Let a(n) = n**2 + n - 1. Let d be -4*(2/8 + -1). Let x(t) = -2*t**2 + 12*t + 37. Let b(k) = d*a(k) + x(k). What is the lowest common multiple of 20 and b(-14)?
20
Let q(j) = 9*j - 139. Let h be q(12). Let s(n) = -4*n - 79. Calculate the lowest common multiple of 117 and s(h).
585
Calculate the least common multiple of 2626/14 - (-27)/504*8 and 940.
940
Let j = -50611238939/6636 + 7626769. Find the common denominator of j and -37/3476.
72996
Calculate the lowest common multiple of 9 and (-19 + 14)*(5 - (10 - 4)).
45
Let b = 239917 + -622426. Let w be (b/(-12) + 5)*4/(-15). Let d = w - -8496. Find the common denominator of 23/24 and d.
120
Let y = 446 - 308. Suppose -43*u + 892 = 204. What is the least common multiple of y and u?
1104
Let w = 0 + -12. Let u = 17 + w. Let s(m) = m**3 + 10*m**2 + 38*m + 61. Calculate the least common multiple of u and s(-4).
5
Let t(x) = -x**2 - 71*x + 3963. Calculate the common denominator of 29/3909 and t(37).
3909
Let n = -1 + 3. Suppose -n*b = -3*b + 5. Let y(w) = w**2 + 79*w + 512. Calculate the least common multiple of b and y(-7).
40
Let z(q) be the third derivative of -q**5/60 + 13*q**4/24 + 8*q**3/3 + 5*q**2. Calculate the least common multiple of z(14) and (2/4)/((-11)/(-132)).
6
Let y(g) = g**2 - 6*g - 8. Let j be y(8). Let m(r) = -r**3 + 8*r**2 + 4. What is the least common multiple of m(j) and (-160)/10 + 14 + (2 - -48)?
48
Suppose -x + 2*b = -4, -4*x - 2*b + 0*b = -16. Let u = 22705 + -544819/24. Find the common denominator of (x/6)/(-8 - 168/(-18)) and u.
24
Let h = -10822130 + 227306251/21. Suppose 934 = 3*p - 5000. Let o = h - p. Calculate the common denominator of 73/6 and o.
42
Find the common denominator of -151/