.
24
Let i(u) = -12*u + 183. Calculate the least common multiple of 495 and i(9).
2475
Let o = 2/49 + -2995/147. Let f be (-22 - -7) + (0 - 1 - -7). Find the common denominator of o and -9 + 3159/126 + f.
42
Let c = 502311343 + -60277919729/120. Let a = 9309/2 + c. Calculate the common denominator of a and 37/24.
120
Let d = -8287341 - -4508315727/544. Let k = -70/17 + d. Find the common denominator of -25/8 and k.
32
Suppose 4*b = -25*b + 1682. Suppose -396 = -b*l + 47*l. What is the smallest common multiple of 56 and l?
504
Let w = -380 - -390. Calculate the common denominator of 2 + (-12120)/144*2/w and 1/46.
138
Let g = -23/13 - -207/286. Find the common denominator of g and -28 - (39 + (-76830)/1144).
44
Let k = -73/9558 - 53/118. What is the common denominator of (7 + -8)/((-8)/(-16))*(-583)/(-11448) and k?
324
Let c = 2008541/8520064 + -426/1799. Let r = -103412309449/133975742592 - 148/9429599. Let p = c - r. What is the common denominator of p and -69/44?
528
Suppose 2*l = 2*a - 1472, 0 = 5*a + 59*l - 60*l - 3676. Calculate the smallest common multiple of a and 1785.
12495
Let a(x) = -50*x - 3084. What is the lowest common multiple of 1 and a(-63)?
66
Suppose 3*r + 152 = o, r + 5 + 64 = 4*o. Suppose -2*g - i - 32 = -0*i, 56 = -4*g + 2*i. Let u = g - r. What is the lowest common multiple of 14 and u?
238
Let g = -130108/85 - 1879249/1020. Let r = g - -3370. Find the common denominator of -87/4 and r.
12
Let v(y) = 4*y**2 - 6*y + 1. Calculate the common denominator of v(4) and (-7)/(-5*(18 + 784/(-35))).
22
Let u(g) = 11*g**2 - 40*g - 160. What is the lowest common multiple of 168 and u(16)?
2016
Let v = -598497/4700980 - -12/13205. Find the common denominator of 71/20 and v.
1780
Let a = -7798 - -569259/73. What is the common denominator of a and -45/73?
73
Calculate the common denominator of 0 + -1 + (-120)/(-35) and 138/(-6) - 315903/(-13622).
1946
Let s be 1 + -8 + (-2072)/(-264). Let u = s - -611/330. Find the common denominator of u and -1*(-74)/28 + 0.
70
Suppose 85*q + 299 = 3019. What is the smallest common multiple of (-2)/(-4)*(-1 + 17) and q?
32
Suppose 3*g - 40 = -5*g. Suppose g*d - 4*d = -2*k + 3, 3*k + 5*d - 15 = 0. Suppose k = 7*l - 13*l + 60. Calculate the smallest common multiple of l and 6.
30
What is the common denominator of ((-6)/(-279) - 0)*1032/(-64) and ((-225)/3240)/((-35)/1743)?
744
Let l be (-1 + 33/22)*-8. Suppose u + 4*z + 72 = 4*u, 0 = 3*u + 3*z - 51. Calculate the least common multiple of 1 and (l/u)/((-3)/15).
1
Let q be (-234)/(-26) - (-2308)/10. Let k be ((-205)/(-10))/(15/(-179)). Let a = k + q. Calculate the common denominator of 59/20 and a.
60
Let x = -2841 + 3348. What is the lowest common multiple of 129 and x?
21801
Suppose -w - 109 = -113. Calculate the common denominator of 97/72 and 754/360 + (-3)/w.
360
Suppose -4*j = 8, -4*b + 0*j - 4*j + 616 = 0. Calculate the common denominator of (2/3)/(b/(-1586)) and -44/141.
423
Let f = -3/4865 - -73993/72975. Find the common denominator of -62/213 and f.
5325
Let h = 115 + -84. Let z(g) = -g**2 + 7*g + 10. Let p be z(9). Let l = -3 - p. What is the smallest common multiple of h and l?
155
Find the common denominator of -15/16 and (((-5)/11330)/(-1))/(7/(-378)*2).
18128
Let d = -164 - -282. Let c = -113 + d. What is the lowest common multiple of 11 and c?
55
Suppose -28 = 6*d + 5*u, -4*u = -5*d + 37 + 5. Calculate the lowest common multiple of d and 1285.
2570
Let z(a) = -a**2 + 54*a + 668. Suppose 0 = 5*s - 254 - 61. Calculate the lowest common multiple of s and z(-10).
252
Suppose 0 = -7*f + 15*f - 19112. Let k = -3434 + f. Find the common denominator of -73/30 and 0 - (k/150)/(-11).
30
Find the common denominator of ((-1)/10)/((-18)/615) and ((-4)/5)/(19 - 18) - (-53)/(-390).
156
Suppose -5*h = 4*n - 330, -5*h - 198 = -2*n + 12. What is the least common multiple of n and 102?
1530
Let w(c) = -66*c + 320. Calculate the smallest common multiple of w(-5) and 22.
7150
Let o(v) be the third derivative of -v**4/24 + v**3/6 - v**2. Suppose p - 52 = 4*q + 5*p, 3*p + 18 = 0. What is the lowest common multiple of o(q) and 8?
8
Suppose 5*c = 3*q + 31, -4*q = -0*q - 12. Suppose 13*m - 320 = c*m. Find the common denominator of 61/28 and (-568)/m - (1 - 10/8).
56
Suppose -215*h = -185*h - 600. Suppose -m = -117 - 205. Suppose -2*r - 8 = 0, -3*t + 0*r = -4*r - m. What is the lowest common multiple of t and h?
1020
Suppose -4*z = 2*t - 0*z + 15348, 12 = 4*z. What is the common denominator of -7 + (-55542)/t + (-4)/10 and -41/16?
256
Let c(v) = 5*v + 1. Let u be c(1). Calculate the common denominator of 5/27 and u/(108/39) - -5.
54
Let b be 3*57*(84/(-27) + 2). Let d = 315/2 + b. Let s = -2/10571 - 496813/126852. What is the common denominator of d and s?
12
Let n = 154 + -152. Suppose -5*c - 171 = -n*i, -35*c + 33*c + 2 = 0. Calculate the lowest common multiple of 4 and i.
88
Let f = -2255387/1196020 - -1/34172. Calculate the common denominator of 2/(560/4)*-6 and f.
35
What is the common denominator of -13/1124 and (-20 - -27) + ((-13)/12)/((-6)/(-9))?
2248
Let k be (-16)/6*(-27)/12. Suppose 0 = w + k*w - 35. Calculate the smallest common multiple of w and 31.
155
Let u be ((-66)/8)/(3/(-8)). Suppose 5*q - 3*q = u. Let b = -1046 - -1047. What is the smallest common multiple of b and q?
11
Suppose -15*i = -19*i - 248. Find the common denominator of 113/28 and (3 + 118/(-40))*(1 + i).
140
Let t = 272/885 - 13907/61950. What is the common denominator of t and 27/350?
350
Suppose r = 4*x + 128, -3*x + 42 = -7*r + 788. Calculate the least common multiple of r and 236.
6136
Let v = 200 - 198. Let r(l) = 8*l**2 - 5*l + 4. What is the smallest common multiple of 20 and r(v)?
260
Find the common denominator of (-32)/(-144) + (-3278)/13959 and 58/27.
1269
Let l = -12698 + 698352/55. What is the common denominator of l and 10/27?
1485
Let i = 11 + 9. Suppose 0 = i*l - 25*l - 25, -2*b = -5*l - 153. Calculate the lowest common multiple of 16 and b.
64
Let k(f) = f**3 + 2*f**2 + 39*f - 15. Let g be k(-12). Let m = g + 28799/15. Calculate the common denominator of 83/135 and m.
135
Let p = -39 + 42. Let y = 198 - 171. What is the lowest common multiple of y and p?
27
Let v = -11595 + 208771/18. Find the common denominator of v and 23/1332.
1332
Calculate the common denominator of 4058/(-10404) - 2/(-9) and ((-60)/10)/36*2*3/10.
2890
Suppose 653 = 17*x + 245. Let o = 9 + 11. Suppose -5*l + o = -10. Calculate the smallest common multiple of x and l.
24
Let v be (-96727793)/596 + 2/(-8). Let d = v - -162295. Calculate the common denominator of 37/14 and d.
2086
Suppose 2*a + 95 = 3*f - 15, 0 = 2*a - f + 114. Find the common denominator of 6/16*97/(-6) and (a/6)/((-378)/243).
112
Suppose -1490 = -35*d - 125. Calculate the least common multiple of d and 32.
1248
Let u(p) = -p**3 - 10*p**2 - 6*p - 41. Let t be u(-10). Suppose 0 = -2*i - 5*q - t + 72, -3*i + 5*q + 67 = 0. What is the lowest common multiple of 126 and i?
504
Let m(k) = k**3 - 10*k**2 + 3*k + 19. Calculate the common denominator of -4/159 and m(10).
159
Let s = 68441982712966841071/1225938 - 55828257801750. Let u = 3/29189 + s. What is the common denominator of ((-91)/(-12))/(10/(-5)) and u?
168
Let w = -1021/182 - 3166609/910. Let n = 889162/255 + w. Calculate the common denominator of 64/3 and n.
51
Let g = 73 + -42. What is the common denominator of ((-5)/10)/((-1)/g) and -7 - ((-268)/16)/1?
4
Suppose 3*z - 54 = -189*v + 191*v, -3*z + 57 = -3*v. What is the lowest common multiple of z and 688?
688
Let v be (31816/(-287))/((-2)/7). What is the common denominator of ((-135)/3600)/((-6)/v) and 123/40?
40
Suppose 8*j - 72 = 6*j. Suppose -8*q = -12*q + j. Suppose -o = -0*x + 3*x + 5, -3*x = q. What is the smallest common multiple of 14 and o?
28
Let a be (4/(-64))/(235/(-64130)). Let g = 220/47 - a. Find the common denominator of 89/10 and g.
40
Suppose k - 3*k = -6. Suppose 3*y + 2*b = 102, -2*b = -k*y - 3*b + 99. Let c = y - 28. What is the least common multiple of 12 and c?
12
Suppose -4*p - 65 + 16 = -5*y, -26 = -3*y - p. Let q = y + 129. What is the smallest common multiple of q and 14?
966
What is the common denominator of -3/260 and (-219)/(-1095) - (-489)/(-140)*2/(-39)?
1820
Calculate the common denominator o