 = -3*q + 5*q. What is the common denominator of 254*5/(-54)*12/40 and 1115/210 - (-2)/q?
126
Let i(a) = 27*a**2 - 138*a - 1714. Calculate the smallest common multiple of i(-10) and 78.
7098
Let y be 5 + (-28)/6 - (-1)/(-3). Suppose y = 10*v + 54 - 354. Calculate the lowest common multiple of v and 2/((-9)/81 - (-2)/6).
90
Let r = 22 + 73. Suppose 100 = 2*q - 2*g, -3*q + 41 = 4*g - r. What is the lowest common multiple of 72 and q?
144
Suppose -38649 - 8781 = -6*n. Let s = 94949/12 - n. Let b = -12289 - -147569/12. Find the common denominator of s and b.
12
Suppose 67412 = 4*k - 4*t, -5*k = 3*t + 8637 - 92886. Let x = 202093/12 - k. Find the common denominator of x and 119/24.
24
Suppose -49*c - 11730 = -2*f - 50*c, f - 5865 = 5*c. What is the smallest common multiple of 170 and f?
11730
Suppose o - 2*o = 6*o. Suppose 2*k = 10, 5*k = 5*j - o*j - 475. What is the smallest common multiple of 16 and j?
400
Let i(n) = n**2 + 5*n - n - 11 - 6*n. Suppose 5*o - o - 4*v = 24, 0 = 4*v - 8. What is the smallest common multiple of o and i(-3)?
8
Let l = 229 + -230. What is the common denominator of -31/25 and (-1358)/210*(l - (-1)/(-2))?
50
Let i(n) be the first derivative of n**3 - 3*n**2/2 - 10*n - 86. Calculate the least common multiple of i(-4) and 95.
950
Suppose -4*p - 11*t = -8*t + 67, 5*p - 4*t = -107. What is the common denominator of -109/30 and ((-2204)/(-168))/p + 4/(-16)?
420
Calculate the common denominator of -83/46 and (-16)/80 - 1810/200.
92
Let b = -866/33 + 118/33. Suppose 3*y = -9*y + 3264. What is the common denominator of (10/6)/((-96)/y) and b?
18
Let q = 11902623339 - 260810282649013/21912. Let v = q + 9/1826. What is the common denominator of v and 23/33?
264
Let h(k) = -k**3 - 7*k**2 - 3*k - 1. Let p be h(-5). What is the common denominator of -61/9 and (-3)/(-12) + 37/p?
9
Find the common denominator of -3/1490 and 18 + 41000/20860 + -20.
10430
Calculate the least common multiple of 840 and (-1)/(-14) - 137130/(-980).
840
Suppose -34*a = -2*h - 38*a + 16, 4*a = 4. What is the lowest common multiple of 2916 and h?
2916
What is the smallest common multiple of (4/(-5))/((-16)/480) and (-17)/(-17) - (2 + 14/(-2))?
24
Let n = -44731/32 + 1398. What is the common denominator of n and 19/18?
288
Suppose 5*f + x - 4*x = 4, -3*f + 9 = -4*x. Let j = 41/224 + 5731/1120. What is the common denominator of j and -15*(f - 3/54)?
30
Let a = 1/17986 - -818301/1115132. What is the common denominator of a and 27/356?
11036
Suppose 3*x - 7236 = -459. Suppose 8*o - 11*o + x = 0. Let r = o + -2979/4. What is the common denominator of 77/2 and r?
4
Suppose 0 = -2*u + 3*t + 23, -3*u + 25 + 0 = 5*t. Let j(c) = 0*c - 48 + 121 - 12*c + 5*c. What is the least common multiple of j(10) and u?
30
Suppose -179*s + 173*s = -192. Suppose -2*r + s = 20*y - 21*y, -50 = -3*r + y. What is the lowest common multiple of 18 and r?
18
Let l = -282347/19140 + 8/4785. Calculate the common denominator of l and (-49)/60 - 6/(-9).
20
Suppose -19*t + 14*t + 10 = 0. Suppose t*y + 2*y - 3*o + 38 = 0, 4*y + 4*o = -52. Find the common denominator of 11/18 and (-86)/36 + (y - -11).
18
Let f = -36583/12 + 3059. Find the common denominator of 69/50 and f.
300
Let x(n) = n + 1. Suppose 4*l - 51 = -3*c, 19*l - 78 = 14*l + c. Calculate the smallest common multiple of x(1) and l.
30
Calculate the common denominator of (-8)/(-1) - ((-219414)/(-960))/29 and 63/1100.
8800
Let h(a) = 214*a**2 + 3*a + 2. Let i be h(-1). Suppose 3*d = n + 45, n - 6*n + 3*d - i = 0. What is the common denominator of 49/12 and (-8)/n*(-279)/24?
84
Suppose 15 = -t + 4*t. Find the common denominator of 1324/(-120) - (-4)/(-5) and ((-301)/(-63) - t)*(1 - 30).
18
Suppose 6*j = 15*j - 72. Let s(x) = 3*x**2 - 22*x + 26. What is the lowest common multiple of s(j) and 3?
42
What is the smallest common multiple of (29 + -28)/((-4)/(-2018)) + (-2)/4 and 14?
504
Let y be ((-40)/12)/(4/12). Let p(u) = 2*u + 24. Let k(d) = 14*d**2 + 2*d - 2. Calculate the least common multiple of p(y) and k(-1).
20
Let r be 44/(-176) - (-13)/4. Suppose 5*m - m + r*x - 560 = 0, -700 = -5*m + 2*x. Calculate the least common multiple of 32 and m.
1120
Let f be ((-94107)/(-18) - 3)/((-27)/6). Let c = f - -1161. What is the common denominator of (52/18)/((-8)/6) and c?
54
Let d(j) = -21*j**3 - j**2 + j + 1. What is the least common multiple of d(-1) and 50/(-60) + (-1 - 3666/(-36))?
100
What is the lowest common multiple of 576 and (68 - 23)/((-6)/16*-2)?
2880
Let h be (7 - (-94 - -5))*2/(-3). What is the lowest common multiple of -390*8/h*4 and 30?
390
Calculate the least common multiple of 255 and (-67)/(-1) - (-7)/((-35)/(-10)).
5865
Suppose 5 - 17 = -4*t, -t = -a + 2. Suppose -a*y + 165 = -2*z, -y = -3*y + z + 66. Calculate the smallest common multiple of y and 27.
297
Find the common denominator of -71/8 and (-6650)/40*(-3 + 22945/7650).
1224
Let h = 144 + -109. What is the common denominator of (-74)/h*120/(-192) - 3 and -61/40?
280
Suppose -16 = 3*m - 124. Let k = m - 32. What is the common denominator of ((-558)/32 - 3)/((-9)/k) and 35/9?
36
Let m = 5405 - 5231. What is the lowest common multiple of 27 and m?
1566
Let a = -33713/7935 + 417390641/42320. Let f = 9856 - a. Find the common denominator of f and -53/32.
96
Let q = -9373 - -1040471/111. Calculate the common denominator of q and 87/370.
1110
Suppose -9*j = -7*j - 660. Let f = j + -2318/7. What is the common denominator of f and -1/23?
161
Find the common denominator of 181/420 and 289530/(-415800) - (-4)/66.
420
Let x be ((-6)/(-12))/(3/72). What is the common denominator of 639/x*(-2)/(-3) and (-6)/24 - (-166)/40?
10
Calculate the common denominator of (-10)/33*(-153)/17 and 35/42*(-244)/(-20).
66
Let t = -628134 + 417080409/664. Let j = t - 3280231/7304. Let r = 454 + j. Calculate the common denominator of -113/6 and r.
66
Suppose 5*d - 3*j - 1004 = -j, 5*j + 610 = 3*d. Suppose -4*y - d = -9*y. What is the least common multiple of 20 and y?
40
Let z(j) = 23*j - 401. What is the smallest common multiple of 145 and z(25)?
870
Suppose 4*b + 274 = -4*p + 326, 3*p - 5*b - 7 = 0. What is the least common multiple of p and 1800?
1800
Find the common denominator of -13/30 and (-2 - 7672/(-624)) + -9.
390
Let f = 219203 - 863785/4. Let s = f - 3234. Let q = 110920 + -8873721/80. Calculate the common denominator of q and s.
80
Let i = -21 - -42. Suppose -5*x = -k - 15, 5*x - 4 - i = -k. Suppose -6*j = -106 - 134. Calculate the least common multiple of x and j.
40
Let l = -1081 + 6079. Calculate the lowest common multiple of 54 and l.
44982
Let f = 1084331/48 - 22592. What is the common denominator of f and ((-33)/9 - -4)*363/20?
240
Let k = -27107/31 - -874. What is the common denominator of k and (0 - -2 - -1)*(-47)/(-27)?
279
Calculate the common denominator of (-10)/564*19/5 and (-262)/(-36) - (-48)/(-20)*(9 + 44/(-6)).
846
Suppose -361 = -3*g + a, 5*a + 394 = 3*g + 29. Suppose -4*r - 6*r + 1350 = 0. What is the least common multiple of g and r?
1080
Let f be 6/10 - 216/(-90). Suppose 3 = -f*u + 4*u. What is the lowest common multiple of u and (-21 + 12)*(-2)/6?
3
Suppose 0 = -5*c + 9*c - 528. Suppose -3*s = -6, 2*v + 2*s - 44 = 2. What is the smallest common multiple of c and v?
924
Suppose -i - 192 = -2*k - 245, 38 = i - 5*k. Calculate the smallest common multiple of i and 147.
441
Suppose -11*h + 8*h = 7*h. Suppose h = -7*t + 41 + 15. Calculate the lowest common multiple of 44 and t.
88
Let c(s) = -2*s**2 - 7*s + 206. Calculate the smallest common multiple of 13632 and c(-12).
13632
Let t = -384139/1320 + 15998/55. Let f = -57063 - -4793389/84. Find the common denominator of t and f.
840
Suppose d + 4*a + 1280 = 4*d, -2*a + 8 = 0. Calculate the least common multiple of 4464 and d.
13392
Let p = -35885 - -6100473/170. Let n(h) = h - 4049. Let o be n(0). Let f = o + 89037/22. Find the common denominator of f and p.
1870
Let d be (-4)/(-16) - ((-70)/8 - 2). Suppose 5*j + d*l - 115 = 13*l, 5*j - 120 = 3*l. What is the least common multiple of j and 3?
21
Let t(b) = 2*b**2 - 139*b + 990. What is the lowest common multiple of 201 and t(8)?
402
Let v(d) = -60*d**3 - d - 1. Let t(m) = -2703*m - 213531. Calculate the smallest common multiple of t(-79) and v(-1).
60
Suppose -1049*n - 