 smallest common multiple of 108 and d?
108
Suppose -3*d = -6*d - 3. What is the common denominator of d/(-4) - 1121/114 and -13/34?
204
Let r = -757/3 + 249. Find the common denominator of r and -69/274.
822
Suppose -5*m + 32 - 127 = 0. Let p = m - -27. Suppose 2*r = 2*n + 50, -3*n + 4*n = -5. Calculate the least common multiple of r and p.
40
Let p = -701/165 + 1/15. Let i be 833*5/(-1925)*6. Let r = i - p. Find the common denominator of r and -8.
5
Suppose -21*n + 112 = -13*n. What is the least common multiple of n and 10?
70
Let y be (2 + 0 + -1)/(7/98). What is the least common multiple of 16 and ((-40)/y)/((-7)/49)?
80
Let n be (2/(-22))/(4/(-644)). Let f = n - 211/55. Calculate the common denominator of f and 71/9.
45
Suppose s + 0*p + 4*p = 5, 3*s - 2*p - 15 = 0. Suppose -s*f + 11*f - 72 = 0. Let g(v) = -v**3 + 7*v**2 + 4. What is the least common multiple of g(7) and f?
12
What is the common denominator of -63/80 and 3/(-16)*(-638)/33?
80
Let g = -2/891 - 24647/1782. Suppose -5*f - 65 = 3*b, -4*b - 68 = -2*f + 4*f. Calculate the common denominator of g and (-5)/(-6) + (-20)/b - -1.
6
Let j(f) = f - 1. Let w be j(5). Suppose 2*u - 220 = -w*m, 2*m + 2*m = -4*u + 224. Suppose -m = -5*t - 14. What is the smallest common multiple of 2 and t?
8
Calculate the least common multiple of 30 and 50 + (0 - 0)/((-1)/(-1)).
150
Let k be 128/7 + 4/(-14). Suppose -k*q + 36 = -16*q. Let c(y) = y. Calculate the lowest common multiple of c(4) and q.
36
Suppose 4*k + 3*q = -90, -5*k - q - 110 = 4*q. What is the least common multiple of 14 and ((-18)/k)/(3/8)?
14
Let n = 15 - 6. What is the least common multiple of 6/(2 + -1) - 12/(-1) and n?
18
Let q = 2/1101 + -25333/5505. Let u = 85323117/10 + -8524508. Let d = u + -7811. What is the common denominator of q and d?
10
Suppose 4*z + 0*z - 40 = 0. Let k be 15/6*24/z. Find the common denominator of -7/4 and (k/(-16))/(42/536).
28
Let y = -535/6 - -205/3. Suppose 5*p + 0*p + 30 = 0. Find the common denominator of y and p/(-18) + (-40)/21.
42
Let r be -2 + (52 + 1 - -1). Let b be 4/(-3)*7319/r. Let o = 6265/33 + b. What is the common denominator of -54/7 and o?
77
Let d = -5217313/10 - -521278. Let o = d - -446. What is the common denominator of ((-42)/(-15))/(33/(-275)) and o?
30
Let b = 636 - 558. Calculate the smallest common multiple of 12 and b.
156
Let q = -47 + 50. Find the common denominator of 79/8 and 819/(-165) - q/(-30).
88
Suppose 9*a = 12*a, -60 = -2*l + 5*a. What is the lowest common multiple of 12 and l?
60
Let j = 175663/157440 + -23/3840. Find the common denominator of -13/22 and j.
902
Calculate the least common multiple of ((-2)/4*66)/((-1)/2) and 108.
1188
Suppose 0 = n - 0*n - 7. Let w = -12 - -7. Let o = w + n. Calculate the least common multiple of 22 and o.
22
Let h be (-508)/(-8) + 2/(-4). Let g = h - 31. Calculate the smallest common multiple of g and 32.
32
Let n = -373 + 4097/11. Let j = n + -4/33. Find the common denominator of j and -36.
3
Let v be -8*6 + 1 + 1. Let t = v - -48. Let w = -3 + 5. Calculate the lowest common multiple of t and w.
2
Let o = 532 - 524. What is the smallest common multiple of 256 and o?
256
Let d = -33595/9 + 3727. Calculate the common denominator of -24/89 and d.
801
Let x be (-3)/1*1 - -318. Let w = x - 617/2. Let t = -859/230 + 33/23. Find the common denominator of t and w.
10
Suppose -3*y - 13 = -7*a + 6*a, 2*y + 12 = -a. Let v = a - -14. Suppose -3*i = 3*p - 9, 3*p - 8 + 3 = -i. What is the least common multiple of i and v?
12
What is the common denominator of -99/34 and 2/138*((-20358)/12)/(-13)?
782
Suppose 13*j = 2020 + 7938. What is the least common multiple of 2 and j?
766
Let d = 164665/12 - 13730. Let z = 1536/5 - 32456/105. Find the common denominator of z and d.
84
Calculate the lowest common multiple of 487/1 + (25 + -13)/(-4) and 1.
484
Let j = -9605/6 - -1593. Find the common denominator of (-6)/(-88)*6/1 and j.
66
What is the least common multiple of (-240 - 2)*(-18)/36 and 5?
605
Let h(p) = -115*p + 250. Suppose -q - 5*g - 10 = 0, 0*g = -q - 4*g - 9. Let y = 9 - q. Calculate the lowest common multiple of y and h(2).
140
Let c = -2/38833 - 3533723/1553320. Calculate the common denominator of 51/20 and c.
40
Suppose 8*w - 3*w = -10. What is the common denominator of w*(-172)/(-112) + 0 and 73/10?
70
Let z = -404 + 446. What is the least common multiple of 24 and z?
168
Suppose -95*n + 300 = -35*n. What is the lowest common multiple of 676 and n?
3380
Let c = 3253/5 + -20123/30. Find the common denominator of c and (-80)/(-16) - (-106)/(-16).
24
Calculate the least common multiple of (1 - 2)/(3/(-24)) and 264.
264
Let j(m) = m**3 - 3*m**2 + 2. Let a be j(3). Suppose -a*w = -9 - 3. What is the smallest common multiple of 4 - ((-2)/2 + -1) and w?
6
Let f(a) = -9*a**3 + 2*a**2 - 1. Suppose 2*m - 44 = -5*v - 6, 21 = 2*v - 5*m. What is the lowest common multiple of f(-1) and v?
40
Let s be 4/(-5) - 1573819/130. Let w = s - -12118. Find the common denominator of w and 3/4.
20
Let f be 369/(-24) - (-21)/56. What is the common denominator of (78/44)/(14 + f) and (-9)/(-40)*(-20)/(-24)?
176
Calculate the lowest common multiple of 0/(-2) + (-17 - -28) and 141.
1551
Suppose -3*w + 22*a = 17*a - 1019, 5*w = -a + 1745. Calculate the least common multiple of 24 and w.
696
Let r(p) = -p**2 - 26*p - 21. Let n be r(-14). Calculate the common denominator of (-2)/(-4) + n/(-60) and 51/4.
20
Let s(f) = -4 - 266*f - 2 + 264*f. Let t(x) = -2*x**2 - 7*x + 2. Let v be t(-5). Calculate the smallest common multiple of 8 and s(v).
40
Let h = 3 - 1. Suppose -x + 3 = h. What is the common denominator of (-78)/32 - (1 + x) and 73/14?
112
Let l = 6 - -36. Let h = -32 + l. Calculate the smallest common multiple of 12 and h.
60
Suppose 0 = 2*b - 6*b + 3*j + 1, b - 4*j = -3. Calculate the common denominator of 93/14 and (-116)/24 - (-2 - b).
42
Let a = 37239187911720449/128414 - 289993208774. Let c = 2/5837 - a. Calculate the common denominator of c and -101/18.
198
Calculate the common denominator of (-20)/(-3) - 3/2 and 29/479.
2874
Suppose -3*r + 8*t + 171 = 7*t, -r - t = -57. Calculate the least common multiple of 6 and r.
114
Suppose -2*x - 3*x + 640 = 5*j, 2*x = j - 125. Let t = j - 117. Calculate the least common multiple of t and 45.
90
Suppose -11*a = -7*a + 48. Calculate the common denominator of ((-141)/a)/(12/3) and -45/16.
16
Let t(d) = d + 22. Let x(p) = 3*p + 66. Let r(i) = -17*t(i) + 6*x(i). What is the least common multiple of 6 and r(-21)?
6
Let d = 193178/21 + -9202. Calculate the common denominator of d and 53/15.
105
Let d be 1 + 9*(-10)/(-15). Calculate the common denominator of -75/8 and -58*(5/(-80))/(d/6).
56
What is the common denominator of (289/153)/(19 + 1/1) and 88/135?
540
Suppose -4*l + 3*j + 609 = 0, -615 = 82*l - 86*l + 5*j. Calculate the least common multiple of 6 and l.
150
Let n = 101582 - 181233/2. Let z = n + -263047/24. What is the common denominator of z and 1/6?
24
Suppose -3*r - 1 = -2*r. Let g = 4 + r. What is the smallest common multiple of ((1 - -2) + 4/(-2))*1 and g?
3
Suppose -167 = -7*a - 657. Calculate the lowest common multiple of 3*5/6*(-28)/a and 29.
29
Let q = -11/9 + 823/18. What is the common denominator of q and -55/7?
14
Let g(f) = 2*f**2 - 10*f + 15. Let o = -1 + 4. What is the lowest common multiple of g(4) and o?
21
Suppose 12*m - 10*m = 4. Let x(h) = -h**3 - 15 + 26*h**2 - 11*h - 8*h**m - 4*h**2. What is the lowest common multiple of 17 and x(13)?
187
Suppose 3*i = l + 27, 3*i - 6*i - 4*l + 12 = 0. Let d(c) = -84*c + 526. Calculate the lowest common multiple of d(6) and i.
88
Let p be 1 - (0 - 4/2). What is the common denominator of (-4)/(-16) - 193/(-28) and (-186)/(-105) - p/15?
7
Let l be (3/54*3)/((-3)/(-63718)). Let z = l + -3535. Calculate the common denominator of z and -74/9.
9
Let d be 56/(-21)*3/2 + 6. Calculate the lowest common multiple of 15 and d/7 - 4160/(-140).
30
Suppose 5*h - 201 = -2*v + 122, 3*h = -3*v + 489. Suppose 4*p = -3*x + 41, 3*p - 2*x = 2*p + 24. Calculate the lowest common multiple of v and p.
1148
Let l(b) = b - 6. Suppose -16 = -4*n + 8. Let u be l(n). What is the common denominator of u/2 + (-33)/10 and 97/22?
110
Let r = 29 - 25. Suppose 4*h + 68 = r*p + 28, 3*h + 42 = 5