se -5*v - 3*w - 2 = -6*v, -4*w = -5*v + 21. Suppose 0 = v*y - 5, 4*a + 0*y - 253 = 3*y. What is the smallest common multiple of a and 8?
64
What is the common denominator of 59/504 and 3272/(-1113) - ((-134)/(-536) + (-26)/8)?
26712
Let s(f) = -f**3 - 14*f**2 + 13*f - 16. Let t be s(-15). Suppose 17*d - 24 = t*d. Suppose -288 = -d*q - 4*q. Calculate the smallest common multiple of q and 57.
456
Let t = 82173 - 289659823/3525. Let p = 67003/49350 - t. Let z = -17267/566 + 2/283. Calculate the common denominator of z and p.
14
Let v(x) = -122*x + 48. Let i be (2/(-4))/(3/(-72)). Let k be v(i). Find the common denominator of 2/((96/(-10))/(k/80)) and -41/30.
240
Suppose -4*a = p + 2030 - 28933, 5*a - 33650 = 3*p. Let c = a - 242233/36. What is the common denominator of c and -81/40?
360
Suppose 3*r - 4*m = -202, -2*r + 0*m = 5*m + 173. Let b = r + 90. What is the smallest common multiple of b and 10?
80
Let l be (-6)/(((-1 - 1) + 4)/(-4)). Let d = 14 + l. What is the least common multiple of d and 25/(-2)*92/(-115)?
130
Let v(g) = -g**2 + 59*g - 596. What is the least common multiple of 237 and v(46)?
474
Let s = 7116 + -3664743/515. Let t = s + 27304/1545. What is the common denominator of 73/27 and t?
27
Let z(o) = -o**2 - 12*o - 14. Let k be z(-7). Calculate the smallest common multiple of 3 and 132/k + (-2)/7.
6
What is the least common multiple of -9 + ((-200)/350 - (-1377)/21) and 1491?
11928
Let i = 24499 - 24495. Suppose -5*r + 165 = 5*w, 0*w - 23 = -w + r. What is the least common multiple of i and w?
28
Let q be (14/(-17))/(252/147). Let v = q - -3329/4488. Calculate the common denominator of v and -27/20.
440
Let a(b) = -b - 4. Let l be a(-4). Let h = l - -1. Suppose 0 = -839*s - 50*s + 780 + 998. Calculate the least common multiple of h and s.
2
Suppose 159 = -38*k + 463. What is the lowest common multiple of k and ((-8)/5)/((-5)/50)?
16
Let x = -1052/3 - -356. Calculate the common denominator of x and -2 + -1 + 5 + (-6876)/474 + 13.
237
Let r = 12215 - 195377/16. What is the common denominator of (-388)/40 + 1/1 and r?
80
Suppose -2*k = 2*i + 4, 0 = -3*k - 2*k - 3*i. Let m(j) = 4*j**2 + 14*j - 22. What is the smallest common multiple of m(-8) and ((-2)/(-6))/(k/126)?
854
Calculate the common denominator of 15/32 and (38/4)/((176/(-5))/(136/340)).
352
Suppose 588 = 30*r - 9*r. Calculate the common denominator of 52/7 and ((-4)/(-1380))/(r/(-2905)).
1932
Suppose 28 - 1 = 3*y. Suppose 2*a + 55 = 3*a. Suppose 5*t = 3*h - a, -3*h - 3*t = -0*t - 15. Calculate the least common multiple of y and h.
90
Suppose 44038*x + 4650 = 44053*x. What is the lowest common multiple of 434 and x?
2170
Calculate the smallest common multiple of 282 and (-1 - (-2559)/21)/((-6)/(-28)).
564
Suppose a + 134 = -9*d + 4*d, -4*a = -2*d - 58. Let j(u) = -6*u - 144. Calculate the smallest common multiple of j(d) and 21.
126
Let r = 994/25 + -40178/925. Let t = r + 7061/2072. Calculate the common denominator of t and -37/14.
56
Calculate the common denominator of ((-273)/(-12) - -1)*(-12 - (-20754)/1728) and 65/64.
384
Let k be 4 - (-463 - (-4 - (-9 + 2))). Calculate the common denominator of 41/4 and k/88 + -5 + 6/(-21).
308
What is the common denominator of 324/126*42/(-549) and -50/29?
1769
Let j = -205 + 209. Suppose -3*n - 5*s = -547 - 13, 5*n + j*s = 955. What is the lowest common multiple of n and 21?
1365
Let h = -6/2599 + 174331/85767. Calculate the common denominator of 79/18 and h.
198
Suppose 0 = -q - 3*q + 124. Suppose -24*y + 21*y - p = -9, 0 = -3*p - 9. Find the common denominator of -97/2 and 3/(5 + q) - y/2.
12
Suppose -52*q + 271 = -15 - 26. Let h(u) = u**3 + 7*u**2 - 6*u + 10. What is the smallest common multiple of h(-7) and q?
156
Suppose -2*i - 5*h + 3 = -4, -4 = -3*i - h. What is the least common multiple of 96 and i/(-3)*13/(208/(-48))?
96
Let q = -111 + 39. Find the common denominator of 166/q*1*(-2 - -1) and -17/66.
396
Let j = -46032361/29891547 + 6560/16361. Let m = 1/261 - j. Let a = 197587/20008 - 1/2501. Calculate the common denominator of m and a.
56
Let b be 36/(-19) - ((-63)/(-57) - 1). Let c = -1519/6 - -250. Find the common denominator of c and 174*(-6)/(-40)*b/12.
60
Let x(h) = -h**2 - 14*h + 16. Let r be (78/9)/(8/(-12)). Let a(b) = -4*b**2 - 3*b + 7. What is the common denominator of a(-3) and x(r)?
1
Let x = 1160 + -932. What is the least common multiple of x and 54?
2052
Let p = -1024777/24 - -42695. Suppose -2*d - 205 = 5*w, -3*d - 260 = -2*w - 0*w. What is the common denominator of p and 12/d*(-286)/(-8)?
120
Let k(d) = -2*d + 430. Let b be k(0). Suppose 100 - b = -5*r. What is the smallest common multiple of r and (-8 - 1/(-1))*(-24)/28?
66
Let i = 251 - 283. Calculate the lowest common multiple of (0 + -2)/((-2)/2) and (-1 - 5 - -1)*i.
160
Suppose 452*h - 434*h = 774. What is the smallest common multiple of h and 344?
344
Let t = -6687 + 6764. Let w = 158 + -109. Calculate the least common multiple of t and w.
539
Find the common denominator of (-18)/273*((-16)/(-72) - (-596)/72) and 57/172.
15652
What is the common denominator of (-135)/(-6318) + 0 + 7 - 21/3 and -89/936?
936
Let f = 13 + -9. Let w be 11/6 + 55/(-66). Calculate the lowest common multiple of 2 and (w/f)/(6/(-24)) + 12.
22
Let m(x) = -3*x**3 + 11 + 2*x**3 - 3*x + 5*x + 5*x. What is the lowest common multiple of m(-2) and 34?
170
Suppose 0 = f - 14*f - 91. Calculate the smallest common multiple of 10 and 656/56 + (-2)/f.
60
What is the common denominator of -13/4 and 2/100*(-44055)/3960?
400
Let y be (6 - 23)/(1/146). Let o = 27282/11 + y. What is the common denominator of o and -97/2?
22
Suppose -5*i - 20 = -r + 80, -r + 3*i + 116 = 0. Calculate the least common multiple of r and 1036.
5180
Let d = 57100661 + -4111141139/72. Let q = -13250/9 + d. What is the common denominator of (-22)/40*96/54 and q?
360
Suppose 0 = -r - 5*a - 1, -r - 3*r + 5*a + 46 = 0. Suppose r = -8*b + 89. Let q(f) = -2*f + 2. Calculate the least common multiple of b and q(-4).
10
Let a = 609 + -4849/8. What is the common denominator of 67/(-30)*(3 + -6) and a?
40
Let m = -4933/2136 + 46/1335. Let u = 1423749/55 + -25887. Calculate the common denominator of m and u.
440
Let n be (4 - 6)*6 + -1 + 4. Let t = 70 - 30. What is the smallest common multiple of (-1 + -2)*33/n + 3 and t?
280
Suppose -o + 15*o - 140 = 0. Suppose -12*q + o*q + 4*x + 12 = 0, 0 = 2*q - 5*x - 11. What is the least common multiple of q and 24?
24
Let n be ((-10)/(-8))/(35/56). What is the common denominator of -143/24 and (19/8 - n)*(-1236)/54?
24
Let r = -9967/24 + 1271/3. Find the common denominator of r and 65/184.
184
Suppose 6*c + 174*c = -147*c + 1962. Calculate the smallest common multiple of c and 10104.
10104
Find the common denominator of ((6 - -1) + ((-3125)/600 - 3))*10 and (-1)/4*(-140)/(-44).
132
Suppose -3*o + 4*c + 60 = 0, 5*o - 5*c + 0*c = 105. Let w = -13705 - -13769. Calculate the lowest common multiple of w and o.
192
Suppose 338 + 4 = -q. Let m = -482 - q. Calculate the common denominator of -91/2 and (-3)/(-2*(-9)/m).
6
Find the common denominator of 53/120 and (-12)/(-30)*600/(-288)*58/55.
1320
What is the common denominator of (291/(-18) + 16)*-123 and -33/15808?
15808
Suppose -266 = -g - 6*g. Suppose -g = -3*c - 14. What is the least common multiple of 15 and (c/(-2))/(-1) - (-8 + 0)?
60
Find the common denominator of -149/1332 and 0/(0 + 2 + -1) + 43440/17919.
14652
Suppose 8*y = 6*y - 24. Let u = 6 - y. Suppose 0 = -k - 2*d + 22, -2*d = 4*k - 5*k + 34. Calculate the lowest common multiple of k and u.
252
Suppose -12*v = 5*b - 15*v + 662, 4*v = 4*b + 536. Calculate the common denominator of 43 + -44 - b/32 and -9/52.
208
Suppose -8*b - 249 = -5*b - 3*c, -2*b + c = 163. Find the common denominator of 16/3 and (-307)/520 - (110/b + 1).
195
Let m(p) = 18*p**2 + 15*p - 18. Let t be m(-6). Let y = t + -530. Calculate the least common multiple of 9 and y.
90
Suppose 4*v - q + 17 = 0, -v + 2*v = 2*q - 13. What is the smallest common multiple of 9 and 1/(v/(-5)) - 80/(-6)?
45
Suppose -9*x + 471 = 3*f + 189, -4*x = -3*f - 160. What is the smallest common multiple of 4743 and x?
9486
Suppose 4*y - 6*g = -9*g + 465, 3*y + 2*g = 348. Calculate the smallest common multiple of y and 1/(-11) - (804/(