20.
6620
Let v(h) = -h**2 - 9*h - 8. Let k be v(-8). Suppose 5*y - 4 - 6 = k. What is the least common multiple of 14 and y?
14
Let w = -3659 - 2260. Let i be (-3)/(-21) - w/(-420). Let p = 77/5 + i. What is the common denominator of p and -89/12?
60
Let j be (-18674)/(-20) - (-6)/12. Let v = 930 - j. Find the common denominator of 56/5 and v.
5
Suppose 6*w + 19 = 175. What is the least common multiple of 28 and w?
364
Let k(l) = -19*l - 148. Calculate the smallest common multiple of k(-8) and 176.
176
Let k(o) = 4*o + 3. Let j be k(5). Let p = j - 17. Calculate the lowest common multiple of p and 18.
18
Let f = -2651/610 + -46/61. What is the common denominator of (776/(-240))/((-14)/42) and f?
10
Suppose -29 = -c - 8. What is the smallest common multiple of 48 and c?
336
Let l = 587/132 - 56/33. What is the common denominator of l and 41/136?
136
Let r(u) = -3*u**2 - 15*u + 2. Let m be 7/(0 + 3/(-9)). Let d = -14 - m. What is the least common multiple of r(-5) and d?
14
Let c = -103 - -148. Suppose -c = -4*p + 31. Let w(k) = 2*k**2 + 3*k - 3. What is the smallest common multiple of w(-3) and p?
114
Let b(v) = v**2 - 2*v - 2. Let h(c) = c**3 - 5*c**2 - 4*c - 6. Let u be h(6). Let p(y) = -2*y + 56. What is the lowest common multiple of p(25) and b(u)?
66
Let n = 66/89 - 2896/2225. Find the common denominator of 95/8 and n.
200
Let r = -292831/36 + 8135. What is the common denominator of 59/16 and r?
144
Let k = 2182019/3716060 - -1/43210. Find the common denominator of k and -93/44.
1892
Suppose -l - c + 326 = 0, 0*l - 976 = -3*l - 2*c. Let q = -4161/8 + 523. Find the common denominator of 4 + l/8 - 4 and q.
8
Suppose 3*k = -3*w + 4659, 0*k + 8 = 2*k. Let i = w - 3189/2. Let u = -2/359 + -8963/2154. Calculate the common denominator of u and i.
6
Let a = 55 + -31. Suppose 0 = -3*o - 0 + 120. Calculate the lowest common multiple of o and a.
120
Suppose 0*j - 8*j + 240 = 0. Suppose 3*t - 23 = 4*u - 6*u, 5*t + 5*u - j = 0. Calculate the lowest common multiple of t and 2.
22
Let s = -1771/620 + 63/155. Let c = -719/220 - s. What is the common denominator of c and 42/29?
319
Let i = -7575/2 - -272717/72. Find the common denominator of (4/2 - 3)/(-6) and i.
72
Suppose 3*i + 4*i = -112. What is the lowest common multiple of (-176)/(-10) + i/(-40) and 22?
198
Let w = -1 - -5. Suppose 33 = w*q - 79. What is the smallest common multiple of 18 and q*((-14)/4 - -4)?
126
What is the least common multiple of 11 and (-3)/(-2)*(-44)/(-198)*21?
77
Let z = -26 - -25. What is the least common multiple of -1*((-5 - z) + 2) and 4?
4
Let v = 382 + -278. What is the lowest common multiple of v and 26?
104
Let i(p) = p**2 - 2*p + 766. What is the lowest common multiple of 20 and i(0)?
7660
Suppose -5*z = -20, 5*z - 192 = -4*k + 180. What is the smallest common multiple of 176 and k?
176
Let k = -10/126179 + 566737/2374688780. Let m = k + -2179592/4705. Let s = -5333/12 - m. Find the common denominator of -81/16 and s.
48
Let g = -1702328911/11449 - -148688. Let i be ((5564574/(-4))/9)/114490. Let a = g + i. What is the common denominator of 39/20 and a?
20
Suppose s + 3*s - 3*l - 46 = 0, 4*l = 5*s - 57. Suppose s*z - 6*z = 588. Calculate the least common multiple of 16 and z.
336
Let w = -2622/9889 - 34949567/5102724. Let r = w + 30/43. Find the common denominator of r and (-44)/10 + 8/(-10).
60
Let y be (-38)/(-57) + (-10)/(-3). Suppose -5*g = -3*j + y, 2*g - 10 = -4*j + 4. What is the least common multiple of j and 4?
12
Suppose -63 = -3*d - 3*i, 7*d = 2*d + 5*i + 75. Suppose d = 20*l - 17*l. Calculate the lowest common multiple of l and 10.
30
Find the common denominator of 0/(-1) - 46/54 and ((-110)/(-168))/((-2037)/(-84) + -24).
189
Suppose 700 = -53*z + 55*z. Calculate the lowest common multiple of z and 1.
350
Let d be ((-7)/2 + 4)*62. Suppose 2*s = -2*b + 50, -5*s + 2*b + d = -4*s. Calculate the smallest common multiple of 30 and s.
270
Let x = 10537 + -231725/22. Let v = -30 + 90. What is the common denominator of x and (-3)/(-4) + 261/v?
110
Let u = 300 + -293. Calculate the lowest common multiple of 3 and u.
21
Let y = 8171/10 + -814. Let m = -1922202/7 + 275046. Let z = -62141/140 + m. Find the common denominator of y and z.
20
Calculate the common denominator of 2 - (-1 + 24/(-14)) and -2 + (-288)/(-30) - (-2 - -7).
35
Suppose -4*z - 33 = -273. Suppose -6*p = -9*p + z. Calculate the least common multiple of p and 26.
260
Suppose 6*d - d = 25. Calculate the least common multiple of d and 1692/84 - (3 + 54/(-14)).
105
Let t(l) = -47*l + 284. Calculate the smallest common multiple of 622 and t(6).
622
Let c = 4/13247 - -1152409/264940. Calculate the common denominator of -7/272 and c.
1360
Calculate the common denominator of 169/30 and 9/15 + (-105)/(-336).
240
Let s(w) = 15*w - 444. What is the least common multiple of 6 and s(31)?
42
Calculate the common denominator of -41/2 and (-1209)/1716 - (1/2)/1.
44
Suppose -2*d - 21 = -5*s, 5*s - s - 4*d - 12 = 0. Calculate the least common multiple of 15 and s.
15
Calculate the common denominator of (-2)/(-5) - (-80)/100 and -63/2176.
10880
Let n(m) = m**3 - 7*m**2 - 46*m + 24. Calculate the least common multiple of n(11) and 30/2*(-2)/(-3).
10
Let t(n) = n**3 - 10*n**2 - 10*n + 1. Let c(r) = -5*r**3 + 39*r**2 + 39*r - 5. Let d(w) = 2*c(w) + 9*t(w). What is the lowest common multiple of d(-11) and 12?
60
Let v(j) = 12941*j - 2. Let k be v(-4). Let p be (-2)/13 + (-7912)/k. Let y = 85623/9955 + p. Find the common denominator of -16/11 and y.
55
Calculate the lowest common multiple of (68/(-16) + 5)/(4/320) and 30.
60
Suppose 97 = 2*g + 3. Suppose 4*a = -41 - g. What is the common denominator of 3 and a?
1
Let y be ((-112)/20 - -2)*-5. Suppose -15*p = -12*p - y. Suppose 3*t = 2*t + 4. What is the least common multiple of t and p?
12
Let n = 5017/66 + -640/11. Let i = 24455/6 + -4088. Find the common denominator of i and n.
6
Let u(p) = -58*p**2 + 2*p. Let o be u(1). Let t = -47 - o. Calculate the smallest common multiple of t and 2.
18
Suppose -18 = -3*s + 27. Let t be 42/24*8/(-2). Let g = t + s. What is the lowest common multiple of g and 6?
24
Let n(h) = h**3 + 6*h**2 - 8*h - 10. Let k be n(-7). Let a be k/(-4 - (-26)/6). What is the common denominator of a/(-48)*(-2184)/(-162) and -59/18?
36
Let a(u) = u**2 + 6*u - 123. What is the least common multiple of 60 and a(9)?
60
Suppose 5*g = -32 + 17. Find the common denominator of g and 2/1 - (-4 + (-201)/(-27)).
9
Let x = -556231/36652 - -258/17. Let u = -97033/28028 + x. What is the common denominator of -1*(344/(-6))/(-4) and u?
39
Let b = 176 - 134. Calculate the least common multiple of b and 36.
252
Calculate the common denominator of ((-88)/308)/((-4)/(-1246)*-138) and 31/2.
138
Suppose 0 = -3*s - y + 7, 3*s + 5*y - 15 = -2*s. Suppose s*n - 24 = 4*h, -n + 6*n - 5*h = 40. What is the least common multiple of n and 8?
8
Suppose -3*a - 31 = 5. Let m be a/(-10)*2250/155. Let z = m - 7273/341. What is the common denominator of z and 59/12?
132
Let x = -840862/33865189 - 3/49583. Find the common denominator of 109/10 and x.
6830
Suppose 4*v - n - 145 - 202 = 0, -2*n - 6 = 0. Let t = v + -41. What is the smallest common multiple of t and 18?
90
Suppose 0 = -3*q - 4*p + 148, 3*q = 6*q - 4*p - 140. Calculate the lowest common multiple of q and 42.
336
Let n = -613/5 - -119. Find the common denominator of -61/9 and n.
45
What is the common denominator of 11/20 and (-4)/(-34) - 186/136?
20
Let w(y) = 2*y**3 + 18*y**2 + 5*y - 84. What is the smallest common multiple of 2 - 6/2 - -29 and w(-8)?
28
Let y(k) = -18*k**3 + 6*k**2 + k + 4. Let x be y(-7). Let p = 64563/10 - x. Calculate the common denominator of -27/20 and p.
20
Let n = -16 + 2. Let a = -6 - n. Calculate the least common multiple of 2 + (6/27 - 172/(-36)) and a.
56
Let x = 1331 + -29291/22. What is the common denominator of -1 - 1 - (0 - (-134)/40) and x?
220
Let c(p) = p**3 + 12*p**2 + 11*p + 8. Calculate the smallest common multiple of 2 and c(-11).
8
Let j(s) = -s**3 + 8*s**2 - 3*s + 6. Let y be j(6). Suppose 21*v - 25*v + y = 0. What is the smallest common multiple of 3 and v?
15
Calculate the smallest common multiple of ((-319)/110 - -2)*-10 and 91.
819
Suppose 3*t = 5*o - 39 - 51, 2*t + 60 = 4*o. Let 