se -3*c + t - 115936 = 0, -c + t - 2*t = 38652. Let m = 467028676 - 39233655095/84. Let w = c - m. Find the common denominator of 73/8 and w.
168
Suppose z = 4*z + 3*x - 33, -4*z + x = -19. Suppose -3*n - z*w = -w - 20, n + 4*w - 9 = 0. Find the common denominator of 37/13 and n + -9 + 126/20.
130
Calculate the common denominator of (-4 + 1470/14)*(-3)/(-3990) and -107/1064.
5320
Let f = 1299/185 + -1230181/176490. What is the common denominator of 46/5 and f?
4770
What is the lowest common multiple of (-5270)/(-51) - 42 - 5/(-3) and 4368?
13104
Let i be (15316/(-29470))/(9/(-75)). Let x be (-418)/1263 - 3/(-9). Let g = x + i. What is the common denominator of 91/10 and g?
30
Calculate the common denominator of 4/21*((-125103)/15576 - -8) and -61/56.
3304
Suppose -4*f - 5*i + 3 = -9, -2*i = 0. Let a be f - (6/(-4))/((-6)/(-16)). Suppose 0 = a*j - j - 54. Calculate the least common multiple of j and 24.
72
Suppose 52*g - 53*g + 74 = 0. What is the lowest common multiple of g and 620?
22940
What is the common denominator of (15/(-20))/(((-13)/(-39))/((-2)/(-2))) and 2/1415?
5660
Suppose -35 = -23*j + 18*j. Suppose j*s = 69 + 1. Suppose -l - 4 + s = 0. What is the smallest common multiple of 16 and l?
48
Let k be ((-4)/30)/(4/215691) - 0. Let l = 7179 + k. What is the common denominator of l and -1/10?
10
Let p be ((-36)/27 - -2)/((-2)/(-3)). Calculate the common denominator of -7 + 804/(-48) - (2 - p) and -71/6.
12
Let w = -4 + 10. Suppose -15 = 3*r - 75. Suppose 33 = 23*y - r*y. What is the least common multiple of w and y?
66
Let j(t) = -t**2 - 11*t + 46. Let g be j(3). Suppose 0 = g*r + 149 - 181. Calculate the lowest common multiple of r and 76.
152
Calculate the common denominator of (-2)/(-384)*(2035/(-33) + 18) and 19/1272.
30528
Suppose -2*m + 10 = 4*b, 1 = m - 0*b + 3*b. Suppose m*l - 347948 = 692468. Let o = 13445513/168 - l. Find the common denominator of 43/22 and o.
1848
Let y(u) = -u**3 + 5*u**2 + u + 24. Let l be y(6). Let b(w) = 3*w**2 - 2*w + 12. Calculate the lowest common multiple of b(l) and 60.
660
Let a(y) = 2*y**2 - 6*y + 3. Let r be a(3). What is the common denominator of 69/8*4/24 and (-138)/32*(-2 - r - -4)?
16
Find the common denominator of (7/21)/((-140)/(-1515)) and ((-1296)/32)/((-99)/12).
308
Let b(u) = -4*u + 3. Let w = -360 - -352. Calculate the lowest common multiple of w*((-84)/16)/3 - 4 and b(-5).
230
Suppose -4*m - 4*h = -584, 139*m - 152 = 138*m - 2*h. Calculate the lowest common multiple of 14 and m.
140
Let d = -24857 - -25169. What is the smallest common multiple of 33 and d?
3432
Suppose 4*m - 12 = 0, c + 0*c - 4*m - 3 = 0. What is the common denominator of -45/4 and 116/c + 16/96?
20
Let p = 40043105/7753434 + -4004/2787. Let w be (-61427)/(-28355) + (-4)/10. Let y = w - p. Calculate the common denominator of 49/2 and y.
26
Let u(m) = -38*m**2 + m + 9. Let s be u(3). Let v be 4 + (-214)/32126*(-51795)/s. Let l = -1/16063 - v. What is the common denominator of l and 133/48?
528
Calculate the common denominator of 5/18*-5*(-93)/(-620) and 6 - (-4193)/(-504) - 9/(-12).
72
Let h = 1/3543 + -315329/7086. Let o be 521/16*29 - (-4)/(-2). Let q = 940 - o. Find the common denominator of q and h.
16
Let a be 2/(-7) + 57310/77*1. Find the common denominator of -31/36 and ((-9)/a)/(105/(-6230)).
1116
Suppose 1 - 3 = -2*j. Let q be (-3174)/414*(-9)/2 + 2/4. Let x = q - j. Calculate the smallest common multiple of 2 and x.
34
Suppose -2*a + 3210 = -3*m, 0 = -a - 4*a + 2*m + 8025. Let j = a - 19229/12. Let b = -52/551 + 22654/18183. Calculate the common denominator of j and b.
132
Suppose -3*k + 27 = -3*w + 33, -13 = -4*w + 5*k. Find the common denominator of -43/66 and (-2950)/60*w/(-15).
66
Let y = -3434/9 - -381. Let i = 1/259 + -1777/259. What is the common denominator of y and i?
63
Let w = 105 + -153. What is the common denominator of (-26)/6 + 5 + 50/w and -99/2?
8
Let d = -2303720 + 76029494/33. Let t = d - 204. Calculate the common denominator of t and (-15)/(-54)*43531/(-2155).
198
Let w be (-21443)/(-205) - 6/10. Let u = -98 + w. Calculate the lowest common multiple of 180 and u.
180
Let x = -17309408/285 + 60735. Calculate the common denominator of 22/7 and x.
1995
Let g be 4/(-6) + (-3)/(27/(-42)). Suppose -1560 = -g*w - 5*t, 2*w - 2*t - 407 = 373. Calculate the common denominator of (w/165)/(4/5) and 23/22.
22
Let c = -159 - -161. Suppose 394 = 31*j - 40. Calculate the least common multiple of j and c.
14
Let l be 4/6 - (0 + (-12626)/6). Suppose 14*j - l + 47 = 0. Suppose 2*b - j = -133. What is the smallest common multiple of b and 15?
105
Let p = 10 + -6. Suppose -2*y + 4 = j, -y = -p*j - 5*y + 28. Suppose -14*t = -11*t - 30. What is the lowest common multiple of t and j?
10
What is the least common multiple of 189 and 103 - -3 - (-252)/42?
3024
Let u(h) = -42*h**3 + 2*h**2 + 3*h + 15. Let r be u(8). Let y be 2 - r*4/(-24). Let k = y - -3562. What is the common denominator of 34/3 and k?
6
Let r = -4226873/2265 + -920/453. Let w = -44/15761 + 117624519/63044. Let o = r + w. What is the common denominator of 19/20 and o?
20
Find the common denominator of (((-52)/(-24))/(-13))/((-396)/(-72)) and -59/7.
231
Let k = 259 + -385. Find the common denominator of 35/42*k/(-10) and (2*(-372)/16)/36.
24
Calculate the common denominator of 43/8 and 1 + 1121/(-2002) - 528/3696.
1144
Suppose 268 = 4*z + 105 - 157. Calculate the smallest common multiple of 270 and z.
2160
Let z = -13800723/140 + 98577. Calculate the common denominator of 1/220 and z.
1540
Let r = 4574 - 4384. Calculate the smallest common multiple of 110 and r.
2090
Let h(y) be the first derivative of y**3 + 4*y**2 - 6*y - 1. Suppose 3*x = 3*s, 2*s + 8 = -4*x - 16. What is the lowest common multiple of h(x) and 12?
60
Calculate the common denominator of -149/450 and 2/5*-2*(29848/(-1952))/91.
27450
Let s = 262/19 + -967/190. Let f = 16934 - 1117651/66. What is the common denominator of f and s?
330
Suppose -u = -2*m - 7, 0 = 5*u - 8*m + 3*m - 20. Let l be 2 + (-26)/8 - u/(-4). Calculate the common denominator of 12/((-4)/l) - 97/4 and 13/20.
20
Let q = 9468 - 9188. Calculate the smallest common multiple of 236 and q.
16520
Let q = 42677 - 2304655/54. Find the common denominator of -41/1647 and q.
3294
Calculate the least common multiple of 520 and (147568/80)/23 + (-2)/10.
1040
Let h be (262/(-1029))/(3/(-27)). Let n = -2/343 + h. What is the common denominator of n and (2 + 0)*((-452)/48 - 0)?
42
Let p be (4/(-3)*(-30)/4)/2. Suppose 0 = p*m - 105. Suppose 5*q = 46 - m. What is the smallest common multiple of 4 and q?
20
Suppose -7*x + 623 = -5*x + c, 2*c + 1250 = 4*x. Let h = -282/5 + 7153/120. Calculate the common denominator of h and (-501)/(-414) + (x/(-16))/13.
552
Let w(r) = -15*r - 27. Let q be w(-9). Suppose -5*m - 2*a = -q, -4*m + 25 = -a - 51. What is the least common multiple of 24 and m?
120
What is the common denominator of 689/2310 - 732/1830 and -115/6?
462
Let y(b) = -b. Let g(m) = 15. Let c(f) = -g(f) - 3*y(f). Let x(n) = 2*n - 1. Let d(i) = c(i) - 5*x(i). What is the least common multiple of 20 and d(-10)?
60
What is the least common multiple of (1/4*49)/(184/14720) and 30?
2940
Let g be (389397/(-56))/(-171*6). Let s be (-10)/(-608)*7/(-245). Let a = s - g. Calculate the common denominator of -17/27 and a.
27
Let n(r) = 4*r**2 - 16*r + 4. Let d be n(9). Let t = -892/5 + d. Calculate the common denominator of t and 6/3 - (36 + -5).
5
Suppose 2*k = -4*v - 120 - 48, -4*v - 336 = 4*k. Find the common denominator of 16/56 - 403/k - 2 and -33/20.
60
Let w(c) be the second derivative of c**4/12 + 3*c**3/2 + 23*c**2/2 + 19*c. What is the least common multiple of 75 and w(-4)?
75
Find the common denominator of ((-437)/152)/(12 + -11) and -45/10748.
21496
What is the least common multiple of 168 and 10/3*(-98952)/(-620)?
3192
Let w(h) = 4*h + 36. Let c be w(-3). Suppose c + 11 = 35*t. Calculate the lowest common multiple of t and 259.
259
Let f(o) = o + 2. Let j be f(1). Let z be 32/(775/260 - j). Calculate the common denominator of 47/40 and (-6)/(-39) - 1928/z.
80
Suppose 87*v = 88*v + 44. Let k = v + 54. Calculate the least common multiple of k and (-27)/(3/(-6)*3).
90
Let n(u) = -100*u - 606. Calculate the lowest common multiple of 