36
Let n be (6964/6 - 0)*12/(-4800). Let s = n - -1/600. Calculate the common denominator of 3/(-1 - 13/(-21)) and s.
40
Calculate the common denominator of (0 + (-133)/(-252))*(-12)/(-136) and -11/48.
816
Let o be (432/(-120))/(2/5). Calculate the least common multiple of 1 and (1 + o/2)*(-70 - -56).
49
Calculate the smallest common multiple of 33*(-15 - 1128/(-72)) and 1620.
17820
Let j = -15196813/108 + 140710. Find the common denominator of -17/27 and j.
108
Let g(d) = 5*d**2 + 46*d - 30. Let n be g(-14). What is the least common multiple of (-1 - (-26)/(-6))*n/(-204) and 83?
664
Let m = 73703/20430 - -4/1135. Let f(n) = 2*n**2 + 14*n + 14. Let b be f(-6). What is the common denominator of m and (-1225)/600 + b/(-2)?
72
Let v(u) = -6*u**3 - 15*u**2 - 7*u - 2. Let c be v(-4). Find the common denominator of c/16 - 30/(-20) and 11/34.
136
Let c(g) = 4482*g + 340680. What is the least common multiple of (-4)/((-2)/(-32)*-1) and c(-76)?
192
Let b = -3763 + 3770. Suppose 111 = 4*n - 1. Calculate the smallest common multiple of b and n.
28
Suppose -1981*q - 28 = -1984*q - n, 2*q = -5*n + 10. Suppose -5*x = 7 - 27. Suppose x*w - 20 = 12. Calculate the smallest common multiple of q and w.
40
Suppose 2170 = -5*y + 5*p + 35, -4 = -p. Let l = -417 - y. What is the smallest common multiple of l and 30?
30
Let r(k) = -2*k**3 + 6*k**2 - 19*k + 53. Let h be r(4). Calculate the lowest common multiple of 31 and 4*(8 - h/(-10)).
310
Let b(q) be the first derivative of q**4/4 - 6*q**3 + 16*q**2 - 3*q - 1. Let a be b(16). Find the common denominator of 35/2 and a - ((340/(-36))/5 - 3).
18
Let u(l) = 4*l**2 + 496*l + 990. Calculate the least common multiple of 1 + (-3 - -24) - 1 and u(-122).
42
Suppose -2014 = -5*u + 958*x - 961*x, u = 5*x + 414. Calculate the smallest common multiple of u and 52.
5252
Let t = 8299 + -1742807/210. Find the common denominator of t and -127/560.
1680
Let y(s) = s**3 - 2*s**2 - 6*s + 2. Suppose 3*t - 8 = t. Let f = 84095 - 84091. Calculate the lowest common multiple of y(t) and f.
20
Let o(n) = -n**3 - 13*n**2 - 20*n + 22. Let v be o(-11). Let k = 14603/144 + -866/9. What is the common denominator of k and 131/(-24)*-2 - v/24?
48
Let y = 4021/13 - 3404/11. Calculate the common denominator of -17/572 and y.
572
Suppose -31*n + 875 = 11 - 686. Calculate the least common multiple of 7 and n.
350
Suppose -4*s - 3*a + 520 = 0, 2*s + 165 = a + 425. Calculate the smallest common multiple of ((-5 - 39/(-6)) + 2/(-4))*11 and s.
1430
What is the lowest common multiple of 801840/176 + 20/(-22) and 5?
4555
Let w(u) = -21*u**2 - 3*u + 4. Let m(v) = 10*v**2 + 2*v - 2. Let z = -63 + 58. Let x(j) = z*m(j) - 3*w(j). Calculate the lowest common multiple of x(-1) and 12.
12
Let r = 226 - 126. What is the common denominator of -79/78 and 4/(-10) + (-1785)/r?
156
Suppose -2*j - 2*i + 140 = -4*i, -5*i + 235 = 4*j. Let d = j + -7. What is the lowest common multiple of d and 10?
290
Suppose 3*n - 35 = l + l, -l = 4*n + 1. Let c = l + 18. Calculate the common denominator of (c + 1)*105/(-28) and -15/7.
14
What is the lowest common multiple of 12/30 - (35988/(-15))/2 and 160?
2400
Calculate the lowest common multiple of 108 and (30/(-20))/(-1*(-1)/(-12)).
108
Let n be (-1)/2*(-8 - 0). Calculate the common denominator of (-12865)/(-1328)*48/(-260) and (-2)/n + (-76)/(-6).
156
Let m = 95817338/15996717 - -186/53861. Let p = 16804/3861 + 278/143. Let o = p - m. What is the common denominator of o and -113/30?
330
Suppose -13*w - 47*w = -68*w + 992. What is the least common multiple of w and 4?
124
Let p = 7064 + -106036/15. Calculate the common denominator of p and (-5157)/972 + (-1)/4.
45
Find the common denominator of 27/44 and ((-18)/(-1584))/(1/166).
44
Suppose -51*t + 42 = -49*t + j, -3*t + 4*j = -30. What is the lowest common multiple of 33850 and t?
304650
Let u be -8*(5 - (-5)/10 - 5). What is the smallest common multiple of 18 and 20/((-14)/(-3) + u)?
90
Let d = -11708 + 30663. Let b = 1080478/57 - d. Find the common denominator of b and 91/30.
570
Suppose -50*x - 3 = -51*x, -3*x = i - 37. What is the lowest common multiple of i and 200?
1400
Let q = -148223/24 + 6170. Let v = 3628 + -21713/6. What is the common denominator of v and q?
24
Let o(h) = 58*h - 474. Let j be o(6). What is the common denominator of 101/12 and (-15)/j*2603/(-190)?
84
Let t = 11766 - 10922. What is the lowest common multiple of t and 16?
3376
Let b = -5993 - -6153. What is the least common multiple of b and 160?
160
Suppose -11*s + 18*s + 28 = 0. Find the common denominator of ((9/27)/(s/138))/2 and -43/44.
44
Let s be (-504038)/((120600/205)/(-3)). Let y = -193315974001/75551880 + s. Let l = y - -2/9397. Calculate the common denominator of l and -59/5.
40
Suppose 10575 = 5*f - 26695. Let b = f - 208623/28. What is the common denominator of 29/77 and b?
308
Let q(a) = -a**2 + 3*a - 3. Let c be q(3). Let n be c/9*(-5 - 40). Let o(s) = -s**3 + 15*s**2 - s + 21. Calculate the smallest common multiple of 10 and o(n).
30
Let w = -29248 - -1286831/44. What is the common denominator of 103/132 and w?
132
Let g be 2/3 - (-6 - 12402/(-2289)). Let k = g + 11/436. Find the common denominator of k and 48/5.
420
Let p = 14443/3132 + -601/174. Find the common denominator of 125/1332 and p.
3996
Suppose 1 = -g, -2*g + 1196 = 3*r + 5*g. Let m = r + -377. What is the least common multiple of (1 - (0 + -57)) + 2 and m?
120
Let x(d) = 10*d - 154. Let b be x(16). Suppose 185 + 229 = b*g. What is the least common multiple of 7 and g?
483
Let h = -619/5 + 33721/270. Calculate the common denominator of h and 179/720.
2160
Let w = -323 + 327. Suppose 2 = 4*t + 2*y, -2*t - w*y - 12 + 4 = 0. What is the lowest common multiple of 94 and t?
94
Suppose 0 = -2*u - 5*q + 11, 5*q = 5*u - 20 - 25. Calculate the lowest common multiple of (-3)/(-12) - (-1214)/8 and u.
152
Let k(n) = n**3 + 6*n**2 + 5. Let u be 12*(1/2 - 1). Calculate the lowest common multiple of k(u) and 14/(-2)*8/(-14).
20
Calculate the least common multiple of 27 and (-9)/3 - -5 - 11/(99/(-51795)).
51813
Let t be (-4)/12 - (-4790)/(-180). Let v = -27 - t. What is the common denominator of v and 23/54?
54
Let m = 21281 - 5366. Let s = m - 35433. Let c = s + 468353/24. Calculate the common denominator of 99/4 and c.
24
Let p(c) = -c**2 + 29*c + 70. What is the smallest common multiple of 3 - 2/((-6)/63) and p(0)?
840
Suppose 0 = -2*i + 83 - 81. Let l be 1434/6 - ((-2)/2)/i. Suppose 11*n = -4*n + l. What is the least common multiple of n and 18?
144
Suppose -210*k - 55*k = 24*k - 260678. Calculate the lowest common multiple of k and 18.
8118
Let v = -2874 - -287333/100. What is the common denominator of -16/25 and v?
100
Suppose 3*g - 1 = w - 6, -g = -4*w + 31. Suppose 455*k - 5842 = 3139 - 1701. What is the smallest common multiple of k and w?
16
Let l(b) = 3*b**2 - 300*b - 1278. Calculate the least common multiple of l(106) and 7.
630
Let q = -93 + 138. Suppose 59*l - 550*l = -8838. Calculate the lowest common multiple of q and l.
90
Let r be 1 - ((-3)/(-1) + 26). Let o = r + 30. Calculate the smallest common multiple of o and 9.
18
Let q be 3/12 - 3*2165/(-20). Suppose -784 = -3*o - q. Calculate the lowest common multiple of o and 170.
1530
Let z be (142341/28468 + -5)/1. Let p = -2149415/2305908 + z. What is the common denominator of -2 and p?
162
Let o = -1 - -7. Let k(s) = -s**3 + 7*s**2 - 8*s + 15. Let z be k(o). What is the common denominator of -33/14 and (-84)/(-26)*z/(-4)?
182
Let d be (-1976544)/(-1408) + 3*(-8)/(-6). Let j = 1406 - d. What is the common denominator of 143/12 and j?
132
Let f = 213/23 - 45421/4922. What is the common denominator of ((-2)/60)/((-2)/425) and f?
1284
Let r = -231180779/738 + 313253. What is the common denominator of r and -71/50?
18450
Let v = -51217/2754 + 1558/81. What is the common denominator of 85/114 and v?
1938
Let x = -48421/90 - -2672/5. Find the common denominator of x and 34/6 - 5 - (-147)/(-30).
90
Let x = -6480491/24 + 270017. Let d be 102937/(-42) + 1/2. Let v = d + 2454. What is the common denominator of x and v?
168
Let b = 479 - 433. Suppose -52*s = -b*s - 336. Calculate the least common multiple of s and 77.
616
Calculate the common denominator of (-2)/(-3) - (-55)/(-24) and 16