 = x + 4*u + 14. Find the common denominator of f and -2 - 0 - (-595)/x.
42
Let a = -2191 + 24125/11. Find the common denominator of -39/59 and a.
649
What is the common denominator of -113/24 and (-5)/15 - 230/(-408)?
408
Let f(u) = -15*u**3 - 3*u - 2. Suppose -3*z - 2*z = 5*m - 35, 4*m - 8 = z. Suppose 0 = -5*t + m - 8. Calculate the lowest common multiple of f(t) and 8.
16
Suppose 4*h - 376 = -3*f, 4*h - h = 2*f - 228. Calculate the smallest common multiple of f and 315.
2520
Let p = -23 + 17. Find the common denominator of 3*(-18)/4 - 1 and p/(-27) - (-938)/72.
4
Let g be 7/(14/(-8)) - 7. Let x(j) = j + 31. Calculate the least common multiple of x(g) and 6.
60
Let x(d) = 7*d - 11. Let t be x(2). What is the common denominator of -115/14 and t/12 - (-134)/(-88)?
154
What is the common denominator of 14/153 and (-373)/680 - -3*1/30?
1224
Suppose 0 = -108*s + 112*s - 32. Suppose -2*j = j - 21. What is the least common multiple of j and s?
56
Suppose -5*i - 5*o = 20, 4*i - 2*o + 0 - 2 = 0. Let n(l) = 32*l**3 + l**2. What is the common denominator of -4/5 and n(i)?
5
Let r = 117 + -119. What is the common denominator of -29/22 and (r - -5)*45/81?
66
Let m be (5 - -80)*(-4)/4. What is the common denominator of (-1 - -6)/(-10) + m/(-28) and -73/40?
280
Let p(q) = -q**3 - 6*q**2 + 8*q + 6. Let k be p(-7). Let y be k/(4 - 34/8). What is the common denominator of y/18 - 879/189 and -13/11?
77
Find the common denominator of (-10)/25 - 1299/(-210) - 4 and (-4)/(-10) + 543/105.
14
Let t(u) = 11*u**3 - 4*u**2 - 2*u + 2. Let c be t(-3). Let j = -193 - c. What is the common denominator of -24/11 and 392/j - (-6)/9?
11
Let a = 2447 + -2337. What is the smallest common multiple of a and 16?
880
Let j = -88/91 - -5427/1001. Let q be (-5)/2*(31368/7845 - 4). Let f = -5779/6799 + q. What is the common denominator of f and j?
143
Let w = -4/27773 - -1278986/9914961. Find the common denominator of w and 139/6.
714
Let z = 532 - 484. What is the least common multiple of z and 18?
144
Suppose 0 = -2*u - 11*u + 624. Calculate the smallest common multiple of u and 2.
48
What is the common denominator of 2062/460 + 1 - 108/18 and -79/230?
230
Suppose -2 = -3*h + 4. Suppose -19 = -h*i + 13. Let v = -997 + 1015. Calculate the least common multiple of i and v.
144
Let u = -6 + 11. Suppose 0*w + w = 2*b - 492, -u*b + 2440 = -5*w. What is the common denominator of ((-77)/w)/((-1)/2) and -27/14?
154
Let p = -72 + 102. Calculate the smallest common multiple of 165 and p.
330
Suppose 4*w = 15*w - 99. Calculate the least common multiple of w and 21.
63
Let p = -47623/6 - -7961. Suppose 96*l - 91*l = 700. Calculate the common denominator of (-6)/(-4) - (-6 - l/(-49)) and p.
42
Let u = -10/61 + 2129/2196. Find the common denominator of -1 + 1 + (-82)/20 and u.
180
Let t = -21 - -18. Let s = t - -11. Let w(u) = u**3 - u**2 - 5*u + 3. What is the smallest common multiple of s and w(3)?
24
Let i = 42/459679 - 744704886/272589647. Let j = i - -6812341/2372. Let s = -2886 + j. Calculate the common denominator of s and -1/3.
12
Let x be (-100)/2 + -3 + 0. Find the common denominator of -4 - (x/(-3) - -2) and 25/6.
6
Let y = -254/3285 - 22/219. Find the common denominator of y and -1/10.
90
What is the common denominator of 43/56 and (2/96)/(62/6603)?
224
Let r(f) = -45*f - 155. Calculate the least common multiple of 7 and r(-5).
70
Find the common denominator of 127/6 and (1 + (-158)/180)/(364/130).
252
Let i(p) = -4*p. Suppose k + 26 = 5*f, -3*k + f - 5 - 3 = 0. Let o be i(k). Calculate the common denominator of o/(-14) - 1094/(-56) and 65/8.
8
Let p = 610 - 601. What is the least common multiple of 43 and p?
387
Suppose -9*y + 7*y + 4 = 0. Suppose -y*q - 14 = -4*q. What is the least common multiple of q and 1?
7
Suppose -40 = -g + 2*a - 3*a, -g - 5*a = -32. Suppose 2*v + 0*v = -4*q + g, -q + 13 = 3*v. Calculate the common denominator of 37/5 and q/(-35) - 52/63.
45
Let d(v) = -3*v**2 + 16*v - 4. Let n be d(5). Suppose 5*a - 29 = n. Calculate the smallest common multiple of a and 6.
6
Suppose -3*m = -2*z + 40, 2*m + m + 20 = z. Let v = -214 - -95. Let i = -109 - v. Calculate the least common multiple of i and z.
20
Let s = -1709/4 + 420. What is the common denominator of -93/34 and s?
68
Suppose 70 = 4*z + 2*y, -y + 49 = 4*z - 18. What is the lowest common multiple of 138 and z?
1104
Let n(t) = 9*t - 43. What is the smallest common multiple of n(7) and 30?
60
Suppose 6*n - 418 = 1346. Calculate the lowest common multiple of n and 462.
3234
Let v = -45/4 - -2123/188. What is the common denominator of v and 6/(-69) + (-1001)/(-138)?
282
Suppose 3*p + p = 132. Suppose 0 = 3*b - 5*t - 65, p = 2*b + b + 3*t. Suppose b = -2*l + 37. What is the smallest common multiple of l and 2?
22
Suppose -7*k - 115 = -30*k. Calculate the lowest common multiple of 143 and k.
715
Let l(o) = 2*o - 3. Let b be l(3). Suppose 4*d - m + 183 = 0, -68 = b*d - 2*m + 73. Find the common denominator of ((-6)/8)/((-108)/d) and 71/14.
112
Let u = -618/197 - -216047/985. Let m = u + -227. Calculate the common denominator of m and 8/3.
15
Let k(l) = 4*l**3 - 4*l**2 + 3*l. Let c be k(2). Let m = -20 + c. Let z = m - 0. What is the lowest common multiple of 22 and z?
22
What is the least common multiple of 12 and 31 - 34 - (-8 - -1)?
12
Let h = 7498 - 7492. Calculate the lowest common multiple of h and (-2)/7 - (-149)/7.
42
Let i(y) = y + 18. Let x be 24/18 + (-4)/(-6). Let s(g) = g**3 - g**2 - g - 1. What is the lowest common multiple of s(x) and i(-11)?
7
Let m = 6129/2 + -8239/3. Suppose 0 = -4*r - 5*u - 1293, -2*r - 6*u - 609 = -11*u. Let h = r + m. Calculate the common denominator of h and 43/18.
18
Let a(z) = z**3 - 7*z**2 + 6*z + 3. Let o be a(6). Let v be (-8)/(-156)*o/(-102). Let k = v - -23221/10608. Calculate the common denominator of -127/24 and k.
48
Suppose -2*f = -7*f. Suppose -3*p + 0*p + 30 = f. Let l(s) = -4*s. What is the least common multiple of p and l(-1)?
20
Let s(p) = -p**3 + 3*p**2 + 93*p + 40. What is the lowest common multiple of 27 and s(-11)?
2133
Let r = 29 + -20. Let p = -34 - -49. Suppose -3*h - 11 = -w - h, 5*w + 4*h = -p. What is the lowest common multiple of r and w?
9
Calculate the common denominator of 12/85 and 7/49 + 445/1904*2.
680
Calculate the common denominator of (-14)/(-4)*(-20)/330 and 71/228.
2508
Suppose -3*s - 10 = -8*s. Suppose 0 = 6*m - 9 - 3. Suppose -5*x + 11 = -s*z + 3*z, -2*x + m = -2*z. What is the least common multiple of z and 10?
10
Let y(f) = f**3 + 4*f**2 + 3. Suppose -53*i + j - 4 = -54*i, -2*i + 20 = -4*j. What is the least common multiple of i and y(-3)?
12
Suppose 9*r + 9 = 6*r. Suppose i = -i - 5*c + 1, -2*i - 2*c = -10. Calculate the lowest common multiple of i and r*(-7)/((-42)/(-40)).
40
Let l(h) = -2*h**3 - 10*h**2 - 12*h - 20. Let p be l(-6). Suppose c = 5*u - 212, -4*u - c + p = -u. What is the lowest common multiple of u and 8?
168
Find the common denominator of 55/12 and 2289/(-70)*45/702.
156
Let k(z) = -z**2 - 18*z - 4. Let c be k(-13). Suppose 5*o = 64 + c. Suppose 5*n + 5 = o. What is the lowest common multiple of n and 11?
44
Let k be ((-66)/8 + 2)/(5/20). What is the lowest common multiple of (0 - -4) + 1 + 0 and 4/(-10) - (85/k - -1)?
10
Let o(v) = -35*v**3 - v**2. Calculate the lowest common multiple of o(-1) and 15 - (264/(-12) - -27).
170
Let k = 12728 - 152623/12. What is the common denominator of k and (1 + -195)/(4/(-1))?
12
Suppose -32*u = 31*u - 945. What is the least common multiple of 120 and u?
120
Find the common denominator of -64/75 and (-224)/(-36) - 1/6.
450
Let p = 339 + -576. Calculate the common denominator of 2/(-6)*p/(-6) and -43.
6
Calculate the least common multiple of 66/154 + (6100/35)/4 and 108.
1188
Let h be (658/42)/((-1)/(-24)). Suppose 0 = -8*x - 0*x + h. Calculate the lowest common multiple of x and 8.
376
Suppose 77 = -4*b + 5. Let p be ((-179)/21)/(-1)*b. Let t = 153 + p. Find the common denominator of t and 47/9.
63
Suppose 5*y + 5*x - 20 = 0, 5*y - 2*x - 2*x = -7. Calculate the least common multiple of 47 and y.
47
Let b = -361 - -556. What is the least common multiple of 8 and b?
1560
Find the common denominator of ((-185)/90)/(285/(-9) + -1) and 50/9.
1764
Suppose -4*l - 608 - 5232 = 0. What is the 