626)/227314 - (-4 + 2). Let k = -538393207/227314 - x. Let w = 2323 + k. Calculate the common denominator of w and 53/8.
8
Let p = -273211/103152 - -6/2149. Let x = 427/36 - 37/9. Calculate the common denominator of p and x.
48
Let f = 1/32 + -971/352. What is the common denominator of 143/18 and f?
198
Let d = 3397/765 - 28/85. Find the common denominator of d and (-639)/(-297) + -2 + 0.
99
Suppose 3*j + 4*i = 8*i + 80, 5*i + 76 = 3*j. Calculate the lowest common multiple of j and 30.
480
Let z(q) = q**3 + 23*q**2 + 12*q + 18. Let w be z(-22). What is the common denominator of 11/12 and (10/40)/(3/w)?
12
Let p = -10474/5 + 2087. What is the common denominator of 57/25 and p?
25
What is the lowest common multiple of 4/8*22 + 4 and 10?
30
Let y be (-43716)/(-21) - -5*(-6)/15. Let o = -2072 + y. Find the common denominator of (1/(-6))/(9/(-222)) and o.
63
Let m(y) = -13*y + 29. Calculate the smallest common multiple of m(2) and 8.
24
Let w(v) = 10*v**2 + 129*v**3 - 128*v**3 - 18*v - 10 + 6*v. What is the lowest common multiple of 1 and w(-11)?
1
Let u(v) = 2*v**2 - 6*v - 10. What is the least common multiple of 7 and u(6)?
182
Let o = -128457/34 + 3776. Let i = 58115/12 + -4835. What is the common denominator of i and o?
204
Let k be -3*3/(-9) - (-2 - -236). Find the common denominator of k/(-45) + 40/(-100) and -23/10.
90
Let f = -5419/12 + 451. Let d = 1499/7 - 2937/14. Find the common denominator of d and f.
84
Let n(w) = w**2 - 5*w + 5. Let y be n(11). Suppose y + 10 = 3*u. What is the least common multiple of 30 and u?
270
Let w(q) = q**3 - 15*q**2 - 14*q - 26. Let u be w(16). Calculate the common denominator of -95/12 and 115/33 - (u/(-18) + 0).
132
Suppose -29*x = -10 - 77. What is the lowest common multiple of x and 513?
513
Suppose -n = 3*n - 60. Let u = 20 - n. Suppose 0 = -4*v + u + 23. Calculate the smallest common multiple of 2 and v.
14
Let m(l) be the second derivative of l**3/6 + 11*l**2/2 + 24*l. What is the smallest common multiple of 30 and m(4)?
30
Let s = -11367/10 - -1143. Let u = 676/3 + -4702/21. What is the common denominator of u and s?
70
Suppose 35*m - 142 = 34*m - x, 0 = x. Calculate the least common multiple of 20 and m.
1420
Suppose p - 10 = -4. Suppose -p*s + 30 + 12 = 0. What is the smallest common multiple of s and 10?
70
Suppose 8 + 52 = 4*t. Suppose 2*l + t = -3*l. Find the common denominator of -19/6 and (-134)/(-44) + (-6 - l).
66
Let c be 24766/8 + -1 + -2. Let k = 3111 - c. What is the common denominator of k and (-1)/10*(-4 + 3)?
20
Let g(v) = -v + 2. Let s be g(6). Let d be ((-2)/s)/((-2)/4). Calculate the common denominator of ((-18)/(-33))/(3 + d) and -48/7.
77
Calculate the common denominator of 13/32 and -1 + -1 - (-17)/((-45696)/(-4840)).
672
Let c(p) = -p**3 + 2*p**2 - 5*p - 2. Let o be c(5). Let k be ((-4 - -7) + -3)/(-2). What is the common denominator of 58/15 and (k - -1) + o/14?
105
Suppose 2*u - 2*h - 70 = -0*u, 5*h = 3*u - 95. Calculate the lowest common multiple of 24 and u.
120
Let u be 48/(-10)*(-10)/3. Let v be (20/u)/((-3)/(-36)). Find the common denominator of 1/(-2) + (-99)/v and 77/20.
20
Suppose -2*z + 6732 = -11746. Let i = 166393/18 - z. What is the common denominator of i and 67/10?
90
Let x(o) = 18*o + 198. Calculate the lowest common multiple of x(-7) and 27.
216
Suppose -j + 2*v = -0*j - 19, -4*j + 3*v + 71 = 0. Let f = j - 12. Suppose -g - 2 = 3, 0 = -2*w + g + 19. Calculate the smallest common multiple of f and w.
35
Find the common denominator of 16/3 and 5816/6156 - (-20)/(-190).
81
Let o(u) = 13*u - 6. Let g be (36/(-24))/(2*1/(-4)). Calculate the smallest common multiple of 15 and o(g).
165
Suppose 0*g - 13 = -g + 2*h, 0 = -2*h. Calculate the least common multiple of 104 and g.
104
Calculate the common denominator of 6 - (5220/480 + -1 + 4) and -87/20.
40
Suppose 0*j + j = 6. Let b(d) = 11*d - 28. What is the lowest common multiple of b(4) and j?
48
What is the common denominator of (-6)/10 + (-1026)/135 and 9/8?
40
Suppose -8*a + 148 = 20. Suppose -189 = 7*u - a*u. What is the lowest common multiple of u and 18?
126
Let z = 1005 + -562. Let s = -3535/8 + z. Find the common denominator of -73/18 and s.
72
Find the common denominator of (3/24)/((-20)/1712) - -4 and 57/440.
440
Let a = -4918 - -39431/8. What is the common denominator of a and (-92)/(-736) - 71/8?
8
Let h = 49/8 - 647/120. What is the common denominator of -29/42 and h?
210
Let t(g) = g - 14. Let d be t(27). Suppose 0 = -k + d - 2. Suppose 5*c = -50 + 115. Calculate the smallest common multiple of c and k.
143
Let m = 18495 - 610253/33. What is the common denominator of 116/(-6) - (-1)/(-2) and m?
66
Let g(u) = 7*u**2 + 20*u + 22. Let t(b) = 4*b**2 + 10*b + 11. Let l(s) = -3*g(s) + 5*t(s). What is the least common multiple of 28 and l(-3)?
140
Let y = -107 + 110. What is the common denominator of -52/15 and 2/y*222/36?
45
Let g = 948030/19 + -16625633/380. Let k = g - 6148. What is the common denominator of 71/16 and k?
80
Suppose -5*s + 416 = 2*h, -10*h + 7*h - 90 = -s. What is the least common multiple of s and 24?
168
Let z = -23127/10 - -2310. Find the common denominator of (-11)/(-660)*6*91 and z.
10
Suppose 0 = -10*i - 75 + 615. Calculate the least common multiple of 54 and i.
54
Suppose -42*y + 16*y + 2652 = 0. What is the smallest common multiple of y and 34?
102
Suppose 2*h + 45780 = -3*q - 13410, 5*q + 98655 = -5*h. Let y be (2/(-4))/(6/q). Let i = 9833/6 - y. Calculate the common denominator of i and -117/14.
42
Suppose 3*r - 5*u - 27 = 0, 2*u = -4*r + 4*u + 50. Let y be (-2 - (4 + -8))/(-2)*-4. Let l(a) = 6*a + 22. What is the least common multiple of l(y) and r?
322
Let v = -1333/3 - -430. Calculate the common denominator of v and (-3)/2*8/(-3 + 27).
6
Suppose -5*t = -97 - 68. What is the least common multiple of 4 and t?
132
Suppose 50 + 374 = 53*n. Calculate the smallest common multiple of n and 54.
216
Let p = -12335/2664 - -379/148. Find the common denominator of p and -113/60.
360
Let h = -648 + 664. Suppose 2*l = -0*l + 6. What is the smallest common multiple of l and h?
48
What is the common denominator of 74/33 and ((-7)/(42/122))/2?
66
Find the common denominator of 2*23/18*1 and 614/(-42) + ((-1800)/(-126) - 14).
9
Let h(s) = 85 - 41 - 39 - 13*s. What is the smallest common multiple of 44 and h(-3)?
44
Calculate the common denominator of (10/4 - 3) + (-34)/(-5) and 77/236.
1180
Suppose 7*r = 26 + 23. What is the least common multiple of 50 and (-1 - 6/(-3)) + r?
200
Let o = -16 + 30. Suppose 258 - 34 = 20*n - 176. Calculate the smallest common multiple of n and o.
140
Let t = -63 - -69. What is the lowest common multiple of 688 and t?
2064
Let a(q) = 6*q + 82. What is the least common multiple of a(15) and 40?
1720
Suppose -2*y + 104 = 2*i, 0 = 5*i - 4*y + 41 - 310. Let k = 33 + i. Calculate the least common multiple of k and 1.
86
Let u be (-18)/3*(0 + 2). Let l = 75/16 + -6. Calculate the common denominator of (-1)/8*(-1136)/u and l.
48
Calculate the common denominator of (738/656)/((-33)/92) and 8/(-24)*(-234)/(-8).
44
Let p be ((-1)/(-3))/(9/162). Suppose 0 = -11*y + p*y. Let l = y - -18. Calculate the least common multiple of l and 5.
90
Suppose -i + 8 + 22 = 0. Calculate the smallest common multiple of 22 and i.
330
Calculate the common denominator of 47/6 and ((-7925)/60864)/((-14)/80*2).
336
Suppose -20*o + 216 = -17*o. What is the smallest common multiple of 60 and o?
360
Suppose 5 = -s, 5*q + 5*s - 520 = 10*s. Calculate the least common multiple of 121 and q.
1089
Let t be -6*1/(-4)*(-40750)/24. Let q = t + 2543. What is the common denominator of q and 57/20?
40
Suppose 3*r - 6 = r. Let y(h) = 30*h**2 + 206*h - 13. Calculate the least common multiple of r and y(-7).
15
Suppose 0 = 4*i + 2*b - 46, 0 = -i + b + 4*b + 6. Suppose 19 = i*u - 157. What is the least common multiple of u and -5*(0 - 36/10)?
144
Suppose -4*i + 29 + 15 = v, -3*v = 3*i - 87. Let p = -16 + v. Calculate the lowest common multiple of -1*((-8 - -5) + -4) and p.
56
Calculate the smallest common multiple of 12 and (-3*338)/(-6) + 7.
528
Suppose -4*a - 3 = -91. Calculate the common denominator of -29/88 and 133/(-234) + a/(-143).
792
Suppose 0 = -s + 19 + 1. Suppose -s = -2*a - 5*n, n + 24 = 5*a + 1. Sup