
Suppose 5*b - 783 = -4*w, 4*b = 5*w - 705 - 243. Suppose 13*u = 14*u + 3*p - 81, 4*p = 2*u - w. What is the smallest common multiple of u and 90?
90
What is the common denominator of 225 + -231 - ((-14064)/2349 + 0 + 0) and -7/957?
8613
Let v = -2253707/315 - -35779/5. Find the common denominator of 1/168 and v.
504
Let j be 5 - 34/8 - (-15)/12. Suppose -2*s = 2*w - 12, w + 12 = j*s - 4*w. Let z(r) = r**2 - 6*r + 24. What is the smallest common multiple of z(s) and 18?
72
Calculate the common denominator of (-37)/74*(-604)/(-2292) and 32/45.
17190
Let d = -49/2 - -13/3. What is the common denominator of d and (-19 - (-3174)/24)/(-54)?
72
Let u = -14807 - -14825. What is the smallest common multiple of 192 and u?
576
Let b(a) = 79*a + 18. Let y(z) = 1. Let q(u) = b(u) - 2*y(u). Let s be q(8). Find the common denominator of (-32)/s*1*(-186)/(-4) and -47/27.
27
Let z = 45715/1017 - 4866/113. What is the common denominator of 226/108 + 0 - 1 and z?
54
Let y = 68 - 67. Calculate the common denominator of ((-52)/(-60))/(18/105) and (2 - y) + -3 - 151/(-18).
18
Let a be (2642/(-3))/((-8)/18). Let q = a - 1938. What is the common denominator of q and ((-4)/(0 + 4) + 26)/(-2)?
2
Let j = 10 + 122. Suppose -93 - j = -15*b. Calculate the smallest common multiple of 15 and b.
15
Let z(i) = -i**2 - 2*i + 6. Let p be z(0). What is the least common multiple of (54/(-8))/(9/(-36)) and p/(-2) + 324/9?
297
Suppose 0 = -7*t + 6*t + 4, -4*t + 666 = 5*i. Find the common denominator of ((-13)/i)/((-14)/(-85)) and 71/32.
224
Calculate the common denominator of -9/4 and (-198)/(-628)*(3/(-6))/((-255)/170).
628
Suppose 363*f - 363163 = -228*f + 2181092. Calculate the lowest common multiple of f and 90.
25830
Let y(z) = z**2 - 29*z - 12. What is the least common multiple of (-3)/(-4) + (-3210)/(-40) and y(30)?
162
Let g = -4139909/10386805 - 2/72635. Calculate the common denominator of g and 32696/17420*(-10)/(-2) + (-1 - 7).
143
Suppose -2*w - 838 = -870. Calculate the least common multiple of w and 774.
6192
Suppose -6*d + 7*d = -21. Calculate the common denominator of (-30)/(-4)*d/50 and 83/84.
420
Let o(s) = -s**2 + 2*s + 9. Let k be o(5). Let j = 71 + k. Calculate the smallest common multiple of j and 8.
520
Let b = -1612347238135/338 - -4770249874. Let y = 8227 + b. Calculate the common denominator of -21 and y.
338
Suppose -83 = -4*m - 3*r, -5*m - r = 4*r - 105. What is the least common multiple of m and (2 - -14)*(1 - 0)?
80
Let c = 3/6443 + 122369/103088. Calculate the common denominator of -37/261 and c.
4176
Suppose 2*m = 150 + 146. Suppose m + 197 = o. Let a = -2426/7 + o. What is the common denominator of -49/20 and a?
140
Find the common denominator of -187/150 and 56/(-392)*(-274)/72.
6300
Let s(n) = 45*n + 675. Calculate the lowest common multiple of s(45) and 24.
5400
Let p = 580 + -1372. What is the common denominator of 572/p + 1 + 6 and -55/27?
54
Let k = 19895/6352 - -22/397. Let m = 98 + -122. Find the common denominator of (-3 + m/(-9))*-22 and k.
48
Let o = -410693/67860 + 7/3393. What is the common denominator of o and -37/176?
880
Let a(k) be the second derivative of -5*k**3/2 - 9*k**2 - 34*k. What is the smallest common multiple of a(-7) and 4?
348
Suppose -2*a - 2*h + 72 = 0, -15*h + 13*h + 111 = 3*a. Suppose 10*m - 309 + a = 0. Calculate the smallest common multiple of m and 318.
2862
Suppose -16*p = -101*p + 2550. What is the least common multiple of p and 168?
840
Suppose 0 = 7*c - 195 - 246. What is the common denominator of -95/22 and (11/71)/(-5 - (-329)/c)?
1562
Let t(s) = -s**2 + 1 - 7 - 7 + 7*s + 0. Let z be t(5). Calculate the smallest common multiple of 9/((3 + -1)/2) + z and 5.
30
Let a = -5950 + 166627/28. Calculate the common denominator of -61/448 and a.
448
Suppose -4*u + 2765 = -10*x + 13*x, 0 = -4*u + 4*x + 2716. Calculate the least common multiple of u and 22.
7546
Let b = 31 + -27. Let r be b - (-5301 + -1 + -1). Calculate the common denominator of 2/(-8) + r/1276 and 103/14.
154
Let x = -296671/187356 + 2/15613. What is the common denominator of 980/1218 - (1 + 1 + -1) and x?
348
Let b = 224261/120 - 9374/5. Calculate the common denominator of -88/105 and b.
840
Let i = 4091 - 32779/8. Calculate the common denominator of 21/248 and i.
248
Let v = -42869/28 - -1530. Let i be (((-87)/6148)/(1/(-628)))/3. Let k = -10059/1696 + i. Find the common denominator of v and k.
224
Let u = -7974 - -95755/12. Let g = -501/5 + 16317/160. Calculate the common denominator of g and u.
96
Suppose 2917*d - 4*q + 36 = 2922*d, -q - 6 = 0. What is the smallest common multiple of d and 70?
420
Let h = 106 - 70. Let i = 93851 - 93807. What is the smallest common multiple of h and i?
396
Let p(a) = -20*a + 9. Let l be p(10). Let q = -326 - l. Find the common denominator of 19/26 and (6/q)/((-12)/(-885)).
234
Suppose 41*p = 60*p + 38. Let i = 5059/6 - 847. Find the common denominator of (-172)/(-44) + p/(-4) and i.
66
Let t = 257/183 + -25123/732. Let o = -45/4 - t. Calculate the common denominator of (-520)/6*1/24 and o.
18
Let b be 444 - ((-12)/21)/(6/(-42)). Find the common denominator of (-33)/b*-4 - (-3)/(-2) and -37/55.
55
Let a = 5/4539 + 367549/99858. What is the common denominator of 47/(213*(-24)/(-9)) and a?
6248
Suppose 5*z + 3*d = -0*z + 39, -z + 11 = -d. What is the lowest common multiple of 25/((-50)/(-12)) + 4 and z?
90
Let h(i) = 3*i**2 - 4*i - 39. Let o be h(13). Calculate the common denominator of ((-15)/96)/(24/o) and 25/6.
24
Calculate the common denominator of 107/1518 and (-64)/(-110) - (546/(-35))/39.
7590
Let x = -7 + 14. Let o = 73 + -70. Suppose -s + 16 = -o*n, -5*s - 31 = -7*s + 5*n. What is the least common multiple of x and s?
91
Let y be ((-57)/6)/(5/470). What is the common denominator of (y/(-342))/((-2)/(-4)) and -20/87?
261
Let j = 2399 + -363. Calculate the least common multiple of j and 36.
18324
Let l = 16141/17712 + -39/656. What is the common denominator of 4/75 and l?
675
Find the common denominator of (2/(16/40))/(48/(-5)) and -103/180.
720
Suppose 0 = -384*f + 335*f + 3577. Calculate the least common multiple of f and (-1 - -4)*12/9.
292
Let m = -1901857767469/144 + 13207276875. Let t = 68732 + m. What is the common denominator of t and 61/22?
1584
Let r be 14024/(-35110) + 1/(5/2). Let g = -277393/42132 + r. Calculate the common denominator of 73/104 and g.
312
Let z = 423831/32 - 13247. Find the common denominator of z and 47/328.
1312
Suppose 75*x = -25*x + 8*x + 43240. Calculate the least common multiple of x and 2256.
11280
Let l = -546/1133 - -702853/1418516. Calculate the common denominator of l and 49/1565.
6260
Suppose -30 = -5*h + c, 0 = -2*c - 0*c. Suppose h*k = 2*k - 20, 5*k = 2*w + 87. Let t = w + 68. Calculate the least common multiple of 8 and t.
24
Let s = -229266 + 79096828/345. What is the common denominator of 137/90 and s?
2070
Suppose 863*g + 60 = 853*g. What is the smallest common multiple of (-179 - 7)/g + 0 and -2*(-2)/(-8)*-14?
217
Suppose 5*i = 4*i - 25. Let f = i - -29. Find the common denominator of -52/9 and f/(2*1) - (-483)/(-630).
90
Suppose -s + 50 = -0*s. What is the lowest common multiple of ((89958/(-290))/(-47))/(2 + 47/(-25)) and s?
550
Let u = -148579/35 + 4244. Let a = -379/315 - u. What is the common denominator of -157/30 and a?
90
Let g = 12171197/133352616 - -4/187293. Calculate the common denominator of -29/178 and g.
712
Suppose 2*y - 30 = -y. Let z(l) = 5*l**2 - 7*l - 3. Let i(u) = u**2. Let s(m) = 4*i(m) - z(m). Find the common denominator of s(y) and 115/6.
6
What is the common denominator of 73/306 and -8 - -4*5505/2754?
918
Find the common denominator of (51/136 + (-699)/600*1)*-2 and -11/500.
500
Calculate the common denominator of (460/(48 + -2))/(1051 - (-2 - -1)) and -73/6.
1578
Let i be (-40)/32 + (-3675)/(-28). Let x = -5 + 8. What is the smallest common multiple of i/6 - ((-56)/21)/(-4) and x?
21
Let y be 527/(-136) + 10 - 1/8. Suppose -2*w = w - 108. Calculate the smallest common multiple of w and y*(-155)/(-93)*(-3)/(-1).
180
Suppose 3*w - 2*z = 112, 4*z + 135 + 55 = 5*w. Suppose -y - w - 19 = -3*n, 4*n - 3*y - 74 = 0. Calculate the least common multiple of n and 2.
34
Suppose 3*v + 4 = 1. Let l be 126/(-7)*(v - -21). Find the common denomin