Let p be (2/6)/(7/42). Let j be 4/p + 360/10. Find the common denominator of (j/(-32))/(9/18) and -43/22.
88
Calculate the common denominator of 130/26 - (2794/504 + -1) and -25/12.
252
Let q(y) = 6*y + 4. Let w be q(-1). What is the common denominator of w/(-12)*(-300)/(-33) and -17/15?
165
Let b(t) = -t + 8. Let w be b(4). Find the common denominator of 642/220 - (40/(-25))/w and -61/6.
66
Let y = 139556/27 - 5168. Find the common denominator of 4/(-3)*(15/(-12) - 222/(-312)) and y.
351
Suppose 0 = s + k + 27, 90 = -4*s + 7*k - 2*k. What is the common denominator of s/105 - ((-1)/(-3))/1 and -40/23?
161
Let n = -1938/7 + 17771/63. Find the common denominator of (-37)/45 + 4/(-10) and n.
9
Let r = 28291/1750 + 1/2625. Let j be (-2 + (-13)/1)*-1. What is the common denominator of r and j/36*285/(-50)?
24
Suppose 3*j - 2*q = 120, 0 = 2*j - 0*q + 3*q - 93. What is the smallest common multiple of j and 30?
210
Let u(i) = -20*i. Suppose 57*m + 330 = 72*m. What is the smallest common multiple of u(-2) and m?
440
Suppose 5*s + 327 = -113. Let q be ((-106)/s)/((-3)/(-2892)). Let p = q + -1160. What is the common denominator of p and -53/5?
55
Let i = -10 + 18. Let a = -1 + i. Let r = 74 - 69. What is the lowest common multiple of r and a?
35
Suppose -2*o = -4*o + 42. Let w = -8 + o. Suppose w*a - 18*a = -30. What is the lowest common multiple of 18 and a?
18
Let p(z) = -5*z - 2. Let k be p(-2). Suppose 6*u = 8*u - k. What is the common denominator of 34/7 and (3/u)/(5/(-34))?
70
Let k be (260/(-3))/(1/(-30)*-5). What is the common denominator of (16/25)/(6/45) and 3/(-5)*k/(-64)?
40
Let a = -2831 - -141619/50. Find the common denominator of a and -37/18.
450
Suppose -4*u = 20 + 52. Find the common denominator of 52/9 and -1 + (-33)/(-27) + (-431)/u.
18
Let z = 334 + -222. Calculate the smallest common multiple of 2 and z.
112
Let p(a) = -3 - 6*a**2 + 13*a**2 + 6 + a**3 + 3*a + 6*a. Let i = -24 + 19. Calculate the least common multiple of p(i) and 2.
8
Let l = 6/391 + 8957/2346. Find the common denominator of l and ((-36)/64)/((-6)/(-92)).
24
Let v = -76 + 56. What is the common denominator of ((-6)/(-32))/((-5)/(-76)) and 4/v + 1854/120?
20
Suppose -5*n + 10*z = 9*z - 119, 0 = -5*z + 5. What is the smallest common multiple of n and 42?
168
Let b = 6/52985 + -1963151/23896235. Find the common denominator of 41/11 and b.
451
Let j = -67/11 + 982/33. What is the common denominator of j and 360/108*(-2)/(-15)?
9
Suppose 2*s = 5*n - 120, 19*s = 23*s. What is the smallest common multiple of 47 and n?
1128
Let m(j) = 10*j**2 + 8*j + 17. Let g be m(-9). Let i = g + -13519/18. Calculate the common denominator of -83/21 and i.
126
Suppose -30 = -5*x - 3*i, 0 = -7*x + 2*x - 6*i + 45. Calculate the lowest common multiple of x and 68.
204
Let t = 9216331949/16 - 574435820. Let x = -1585450 + t. Let k = -523 - x. What is the common denominator of k and -43/22?
176
Let c = 133/72 + -7/24. Find the common denominator of c and 610/(-40) + (-1*7 - -1).
36
Let k(w) = 3*w**3 + w**2 - 4*w + 1. Let g be k(2). Suppose -g*h = -16*h - 50. What is the lowest common multiple of 14 and h?
70
Suppose 2*y = f - 86, 2*y - 3*y + f - 42 = 0. Calculate the lowest common multiple of 22 and (-30)/(-8) + (-11)/y.
44
Let x be ((-16 - 1) + 2)/(5 + -4). Let k = -14 - x. Calculate the least common multiple of 39 and k.
39
Let l(s) = s**3 + s**2 + s - 1. Let b be l(2). Let u = b - 12. What is the lowest common multiple of 2 and u?
2
Find the common denominator of ((-27)/(-6) + -4)*115/(-1090) and -115/14.
3052
Let j(a) = -a**3 + 11*a**2 - 7*a - 8. Suppose -2*n - 3*n = -40. Calculate the least common multiple of j(10) and n.
88
Let o = 1167/568 + 5/71. Let g = 186 + -124. Calculate the common denominator of -1 + 3 + g/(-36) and o.
72
Suppose 309 = -2*d + 141. Calculate the smallest common multiple of d/(1 + -5)*1 and 12.
84
Suppose -14 = -5*l + 1. Calculate the least common multiple of 203 and l.
609
Suppose 33*m + 5192 = 41*m. Let r = m - 2621/4. What is the common denominator of 66/(-16)*(-8)/(-14) and r?
28
What is the common denominator of ((-36)/160)/((-6)/25) and (29/58)/(6/(-27))?
16
Let q = 717 + -4285/6. Find the common denominator of q and 46/51.
102
Let h = 99 - 79. What is the common denominator of (-6)/h*(340/(-576))/17 and 43/16?
96
Suppose -6*a + 14 = -94. Suppose 10*q - 92 = -32. Calculate the smallest common multiple of q and a.
18
Suppose 13 = 3*q - 14. Let w = -9 + q. Suppose w = -2*f + 41 - 1. What is the lowest common multiple of 6 and f?
60
Let u(k) = k**3 - 4*k**2 - 3*k + 2. Calculate the smallest common multiple of (-298)/(-15) - 2 - 362/(-2715) and u(5).
36
What is the common denominator of -1 + (-707)/(-392)*2 and 47/63?
252
Calculate the common denominator of (-235)/25*(-7)/(280/25) and 27/26.
104
Let i = 161 - 225. Let m = i - -65. Calculate the common denominator of m and -4/51.
51
Suppose 3*r = 3*y - 5*y + 9, 3*y - 4*r = 39. Let m be -10*1/(0 + -1). Suppose w - y = m. What is the common denominator of w and -143/6?
6
Let d(n) = 6*n - 6. Let x be d(7). Suppose 5*h - o - x = 0, o - 32 = -5*h - 2*o. Calculate the smallest common multiple of 10 and h.
70
Suppose 5*r = s + 15, -2*s - 9*r - 66 = -10*r. Let t = -220/321 - -2/107. What is the common denominator of s and t?
3
Calculate the smallest common multiple of 452 and 12/(-2) - (-1014)/78.
3164
Let d(n) = n + 8. Let x be d(-4). Suppose -2*s + x = -6. Let t = 7 - s. Calculate the least common multiple of t and 10.
10
Let a = 82 - 59. Suppose -4*t + y = 3 - a, -4*y = -2*t + 10. What is the lowest common multiple of t and 4?
20
Suppose -x + 409 = 5*u, -5*x = u - 10*x - 87. Calculate the lowest common multiple of 8 and u.
328
Let b be (21/(-4))/((-12)/(-32)). Let s be (6/b)/(16/(-112)). Suppose 0 = 4*t, t = s*m + m - 40. What is the least common multiple of m and 10?
10
Let u(l) = -l**3 + 4*l**2 - 11*l + 54. Calculate the smallest common multiple of 39 and u(4).
390
Suppose -2*m + m = -24. Let l = 152 - 126. Let o = l - m. Calculate the least common multiple of o and 9.
18
Suppose -17*l + 6*l - 11 = 0. Find the common denominator of (-499)/280 + (12/(-10) - l) and -113/6.
168
Let f = -5 - -8. Suppose 4*c - 36 = -0*c. Let n = 17 - c. What is the lowest common multiple of n and f?
24
Let f(l) = 7*l + 224. What is the smallest common multiple of f(-28) and 24?
168
Let b = 47/106 + -1893/265. Find the common denominator of (-2)/(-12) - 1740/(-36) and b.
10
Let u be (-800)/(-84)*58/24. Let d = -123/7 + u. Let a = 0 + -1. Find the common denominator of a and d.
9
Let r(p) be the first derivative of 4*p**4 - p**2/2 + p - 6. What is the smallest common multiple of r(1) and 3?
48
Let a be (130/35)/((-2)/(-7)). What is the lowest common multiple of 4 + -3 + a/1 and 6?
42
Find the common denominator of -7 + 7 + 70/(-32) and -1/8.
16
Let r(u) = -u**2 + 45*u + 42. Let d be r(46). Suppose k + l - 33 = -3*k, -5*k - 4*l + 44 = 0. Calculate the smallest common multiple of 16 and d/k*2*-10.
80
Let s = -1157881/1777314 + -1/26929. Find the common denominator of s and 43/6.
66
Let q = 3385627/72 + -403850/9. Let p = 2143 - q. Calculate the common denominator of p and (-51)/(-22) + -16 + 13.
88
Suppose 6*b - 90 = -6. Let l = 3 - 0. Let s = l - -7. What is the smallest common multiple of b and s?
70
Let q be (-5)/2*8/(-10). Find the common denominator of 1/q*(-3)/(-1) and ((-17)/(-6) + -1)/((-6)/20).
18
Let g be 6/4*(-60)/(-18). Suppose -2*d + 40 = t, -g*t - 3*d + 107 = -58. What is the least common multiple of t and 20/2 + -5 + 5?
30
Let t(b) = b**2 + b + 1. Let j be t(0). Find the common denominator of (51/(-22))/(3/(-6)) and j + 0 + -2 - 46/9.
99
Suppose -50*n - 1398 = -53*n. What is the smallest common multiple of 10 and n?
2330
Suppose -3*x = 3*g, 11*x - 6*x - g = 30. What is the smallest common multiple of x and 10?
10
Suppose -4*v + 11 = 3*i, -4*i = -4*v - 15 - 9. Let f be 5 + v + 39066/1308. Let y = f + -40/109. What is the common denominator of y and -13/10?
10
Suppose 0 = -4*y - a + 23, a - 10 = 5*y - 41. Calculate the smallest common multiple of y and 7.
42
Let l be 15 - 11 - 154/(-2). Calculate the common denominator of 33/20 and (-2 - l)/(-2 + 20).
180
Let y be (3/(-9))/(1/(-9)). Suppose -y*v - 76 = -5*v. Suppose -3*n + v 