0*s - 6*s = 10146. Let g = -1206 - s. What is the common denominator of 52/5 and g/75 - (-4)/(-10)?
15
Suppose 6 = 2*d - 4*u, d - 9 = -d + u. Suppose q = -d*q + 6. Suppose z = 3*z - 22. What is the lowest common multiple of q and z?
11
Let x = 89/2 - 318/7. Let w = -16075641/10 - -1616201. Let j = w - 8628. What is the common denominator of x and j?
70
Let q = 41 - 34. Let w(h) be the third derivative of h**6/120 + h**5/10 + h**4/4 - h**2. What is the least common multiple of w(-4) and q?
56
Let i = -37 + -10. What is the common denominator of i/(-14) - (-2)/(-3 + 4) and 115/14?
14
Let z(t) = t**2 - 14*t - 8. Let x be z(15). Let v(q) = q**3 - 6*q**2 - 10. What is the smallest common multiple of 5 and v(x)?
195
Let r(f) = -9*f + 2. Let w be r(-1). Let c be (w/(44/(-952)))/5. Let a = c + 48. Find the common denominator of 41/5 and a.
5
Calculate the common denominator of 39/332 and (-1797)/(-1188) + 36/198.
2988
Let d be -1 - -91 - (17 + -15). Suppose 12 = 5*v - d. Suppose -4*x = -0*x - 24. Calculate the smallest common multiple of v and x.
60
Let p(f) be the first derivative of 28*f**3/3 - f**2/2 - 2*f - 22. Calculate the smallest common multiple of 10 and p(-1).
270
Let v = -10505 + 525279/50. Calculate the common denominator of -31/75 and v.
150
Suppose 0*b = -3*u + 5*b - 267, -255 = 3*u - b. Calculate the common denominator of 102/20*21/9 and 3/u*106*-1.
70
Suppose 16 = i - 14. Let y = i + -24. Calculate the smallest common multiple of y and 9.
18
Suppose -2*y - 5 = -y, -4*i + 5*y + 69 = 0. Calculate the common denominator of (-13)/4 - (9 - i) and -57/8.
8
Let y = 67061 + -8047183/120. Calculate the common denominator of 21/10 and y.
120
Let x = -2/1429 + 24307/10003. Calculate the common denominator of -20/7 and x.
7
Let x = 73/76 - 4/19. Let s = -5830 + 70057/12. Find the common denominator of x and s.
12
Let d(w) = -8*w**2 - 4*w - 3. Let a be d(-1). Let z(u) = -3*u**2 - 23*u. What is the smallest common multiple of 14 and z(a)?
14
Let j be (-4)/18 - (-143)/117. Calculate the common denominator of (j/41)/(3/(-69)) and -44/5.
205
Let t be ((-651)/210)/(1*2/2393). Let b = t - -7411/2. Calculate the common denominator of -27/10 and b.
20
Let s = -9 + 12. Let w = s + -8. What is the lowest common multiple of (-30)/w + -2*1 and 10?
20
Suppose 4*l - 2*m = 2*m + 8, 6 = 3*l - 5*m. Suppose -13*n + 99 = -l*n. Calculate the least common multiple of 10 and n.
90
Let p(k) = -k**3 + 9*k**2 - 4*k + 5. Let t be p(8). Let m = -371/10 + t. Calculate the common denominator of m and -1 + -133*3/(-60).
20
Let y be ((-27)/(-2))/((-9)/(-12)). Suppose -x = -0*x - y. Let j(b) = b**2 + b + 4. Calculate the lowest common multiple of x and j(-4).
144
Suppose 3*t + 7*t = 30. Calculate the least common multiple of 17 and t.
51
Let t = -821961158 + 55891556295/68. Let w = 26506 + t. Calculate the common denominator of w and 5/6.
204
Let z = -655 + 1523. What is the least common multiple of z and 8?
1736
Let h(m) = -m**2 + m - 2. Let v be h(3). What is the common denominator of -19/16 and (-802)/(-84) - v/28*1?
48
Let i = 683 + -141. Let j = i + -11390/21. Calculate the common denominator of 49/3 and j.
21
Calculate the common denominator of -63/16 and (-10 - (-388)/10)*(-2)/(-8).
80
Suppose -2*h = -b - 9, 0 = -3*b - b - 4*h - 12. Calculate the common denominator of (b + 3354/672)*-146 and 17/18.
504
Let a = -1615/2 - -770. Let c = 3 - 5. Find the common denominator of a and 766/(-90) + c/(-5).
18
Let o(f) = f**2 - f + 12. Let m be o(-7). Suppose -5*q + 22 = -m. Calculate the lowest common multiple of q and 8.
72
Let h be -3 - -5 - (-113429)/(-24). Let b = -4725 - h. What is the common denominator of b and 15/2?
24
Suppose 8 = -a - 3*a. Let z = 1 - a. Find the common denominator of -59/9 and z/(-12) - 309/(-36).
9
Let l = 5905/4 + -35453/24. Let k = 163/8 - l. What is the common denominator of k and (-2)/(-42)*(1 - 4)?
21
Suppose -26*v - 2399 + 24967 = 0. What is the least common multiple of v and 16?
3472
Let u(g) = g**3 - 2*g**2 + 4*g + 2. What is the least common multiple of u(2) and 50?
50
Let k(d) = -76*d - 358. What is the lowest common multiple of k(-5) and 12?
132
Calculate the common denominator of 87/190 and 570/(-912)*(-124)/(-950).
380
Calculate the common denominator of 51/80 and (-61 + -1)*10/240.
240
Let k = -178 + 92. Let n = k + 620/7. What is the common denominator of 69/4 and n?
28
Let v(w) = 2*w**2 - 2*w + 3. What is the least common multiple of ((-468)/182)/((-3)/14) and v(2)?
84
Suppose 0 = j - 13 + 13. Suppose j = -12*h + 11*h + 13. What is the least common multiple of h and 3?
39
Let m = -442337/157264 + 2/9829. What is the common denominator of m and 83/20?
80
What is the common denominator of -113/30 and 2/(-7) + (-8825)/(-2100)?
60
Let k = -71/5 - -161/10. What is the common denominator of k and 17/320?
320
Let d(r) = 3*r + 40. Let n be d(-13). Find the common denominator of (13/(-12))/(3/2 - n) and -71/21.
42
Let c(g) = 5*g**2 - 7*g + 5. Let y be c(4). Let o = y + 45. Calculate the smallest common multiple of o and 12.
204
Suppose 0 = -2*j + 4*o + 140, 3*j - 2*j + 4*o = 58. Let k = -54 + j. Calculate the smallest common multiple of 27 and k.
108
Suppose u + 2*r - 2098 = -11516, 0 = -5*u - 4*r - 47114. Let t = u - -56423/6. Find the common denominator of t and -46/19.
114
Calculate the common denominator of 1/192 and (12/(-90))/(432/1635).
1728
Calculate the common denominator of (1 - -4)/5 - 219/354 and -113/18.
1062
Let s(i) = 4*i - 57. What is the lowest common multiple of s(21) and 165?
1485
Suppose 2*o = 2*w + 9 + 7, 3*w = 2*o - 18. Let a = 167 - 85. Let r = a - 70. Calculate the least common multiple of o and r.
12
Let b = 6146 - 1425775/232. Calculate the common denominator of b and -61/580.
1160
Let x(d) = 8*d + 333. Suppose -3*c + 4*c = 7. What is the lowest common multiple of x(-41) and c?
35
Suppose -3*i + 4*i = 9. Suppose -3 = 7*f - 8*f. What is the least common multiple of f and i?
9
Find the common denominator of (187/22 - 4)/(6/31) and (-14)/(-3)*(-9)/24.
4
Suppose -4*t = -k - 1368 - 21, -3*k = 3*t - 1023. What is the lowest common multiple of t and 10?
1730
Suppose -3*r - u + 23 = 0, 4*r + 2*u - 40 = -6. Let z = -6 - -12. Calculate the lowest common multiple of z and r.
6
Let f(d) = -d**3 + 7*d**2 + 10*d - 7. Let q(u) = -u**2 - u - 1. Let i(a) = f(a) - 3*q(a). What is the smallest common multiple of i(11) and 14?
126
Let n(b) = b**2 + 4*b - 9. Let w = 1 + 2. Calculate the smallest common multiple of w and n(3).
12
What is the common denominator of (221/(-78))/((-2)/3 - 0) and -95/4?
4
Let b be 580096/396 + (-1 - 0/2). Let i = 855 - -615. Let p = b - i. Find the common denominator of -9/10 and p.
90
Calculate the common denominator of ((-288)/(-30))/4 - -5 - 2 and -29/93.
465
Suppose c = -5*r - 2*c + 67, -44 = -3*r + 2*c. Let a = 14 - 4. Suppose -a - 8 = -v. What is the smallest common multiple of v and r?
126
Let d = -1118 + 1142. Calculate the lowest common multiple of d and 432.
432
Let o = 159 + -254. Let g = 100 + o. What is the least common multiple of 39 and g?
195
Let v(l) = 6*l**2 - l - 2. Let x = 17 - 13. Let z be v(x). What is the common denominator of (-2)/(-8) - z/20 and 45/13?
52
Calculate the common denominator of 89/20 and (-4)/(-10) + 4419/540.
60
Suppose -2*a - 1 - 3 = 0. What is the smallest common multiple of 31/2 + (-1)/(-2) and 1 + (-1 - -8) - a?
80
Calculate the common denominator of 2/29 and (-10530)/(-240) - (-6)/(-16).
58
Let i(c) = c**3 - 10*c**2 + 11*c - 11. Let h = 9 + -6. Suppose 2 = -g + h*g. Calculate the least common multiple of g and i(9).
7
Let y(m) = 27*m + 207. Calculate the lowest common multiple of 282 and y(-7).
846
Suppose 0 = -4*m + 2575 - 215. Calculate the common denominator of (-26)/(-65)*m/71 + -3 and -47/6.
426
Let y be (-38866)/(-10) + -1 + (-7)/(-5). Let b = y - 31153/8. Find the common denominator of b and 332/(-35) + 4/14.
40
Suppose 5*h = 5*l - 75 - 10, 2*h + 73 = 5*l. Calculate the smallest common multiple of l and 100.
1300
Let c be (1 - 68/8)*-2. Suppose -13*b - 24 = -c*b. Calculate the smallest common multiple of b and 6.
12
Let n be ((-2)/(-2))/(4/60). Let k be (6 - 0)/(n/10). Suppose 2 = 2*m - k. Calculate the least common multiple of 9 and m.
9
Let b(z) = -5*z + 2. S