, -5*b + 3*o = -75. Let z = 6 + 2. Calculate the smallest common multiple of b and z.
24
Suppose -13 = i - 5. Let o = i + 16. Suppose 0*k + k = -4*j + 12, -4*j + 4 = 3*k. What is the least common multiple of o and j?
8
Let c be (0 - (-7592)/(-570)) + 2. Let s = c - 16/57. Calculate the common denominator of s and -8/23.
115
Let f = -14 - -20. Suppose 0 = 2*x - g - 811, -4*g + 1551 = 4*x - 101. What is the common denominator of x/(-234) - f/(-9) and 27/7?
91
Let r = 4/294731 - -3202252299/1178924. Let u = r + -2731. Find the common denominator of 75/8 and u.
8
Let m = 588379/254448 - -2/15903. Let y = 7/80 + 203/80. What is the common denominator of y and m?
16
Let q = -3 - -11. Suppose -5*g = -0*g - 15. Suppose 0 = g*y - 13 - 8. Calculate the smallest common multiple of q and y.
56
Let r(v) = v**3 + 4*v**2 - 3. Let d be r(-3). Suppose -d*b = -b - 55. Suppose 5 = 4*j + 3*n, -2*j - 5 = 3*n - 0. What is the lowest common multiple of b and j?
55
Suppose -34 = -3*q - 13. Let i be 1*-5*(-13)/((-390)/36). Calculate the lowest common multiple of 9*(i/9)/(-2) and q.
21
Let a = -42 + 44. Calculate the lowest common multiple of 2 + (11 - 2 - (a + -1)) and ((-3)/2)/((-6)/16).
20
Calculate the common denominator of 3/(-1)*-1 - (-9312)/(-2716) and 28/(-58) - (-1 - 1).
203
Let h = -466/3 + 170. Calculate the common denominator of h and 1 + ((-2)/(-24) - -2).
12
Suppose 2*i + 11 = 4*i + 3*k, -4 = 2*i - 2*k. Calculate the lowest common multiple of i and 7.
7
Let k = 957 + -532. Let t = k - 889. What is the lowest common multiple of 2/5 - t/40 and 4?
12
Let t be ((-3)/24)/((-1267)/(-76702)). Let s = 3/724 - t. Find the common denominator of 1*(441/(-30) - -3) and s.
70
Let h = -10653956 + 16876767. Let y be h/420 - (-2)/(-3). Let p = y - 14812. Calculate the common denominator of -17/12 and p.
60
Let h = 3 + -1. Suppose 4*o = 3*f - 26, o - 2 = 2*o. Calculate the least common multiple of f and h.
6
Let r be (-4 + 13)*(-1 + 0). Find the common denominator of r/21 - (-293)/14 and 40/11.
22
Let h be (8/(-4))/2*-5. Let d(u) = 4*u - 12. Calculate the least common multiple of 128 and d(h).
128
Let u = -2196031/36 + 60997. Find the common denominator of u and -43/63.
252
Let d(l) = l**2 - 23*l + 4. Let h be d(20). Find the common denominator of 39/2 and -3 + ((-40)/h)/(24/(-14)).
12
Suppose -7*j + 3*j + 2*r = 34, -5*j - 50 = -4*r. What is the smallest common multiple of 2 and (44/j)/((-2)/12)?
44
Suppose -2145 = -377*w + 364*w. Calculate the smallest common multiple of 3 and w.
165
Let z(h) = -64. Let q(m) = -m - 64. Let g(c) = -4*q(c) + 3*z(c). What is the smallest common multiple of 16 and g(-15)?
16
Suppose 27*g = 3522 + 258. What is the smallest common multiple of g and 420?
420
Let b = 670 + -58. Let c = b - 890. Calculate the common denominator of c/(-48) - (-3)/9 and -25/6.
24
Suppose 2*w = 275 - 247. Suppose -6 = -s - 0*s. Calculate the smallest common multiple of s and w.
42
Let r(t) = t**3 - 11*t**2 - 14*t - 2. Let f be r(12). Let a = f - -33. Calculate the least common multiple of a and 2.
14
Let b = -28 + 25. Suppose 7*v - 50 = 2*v. What is the least common multiple of 17 + 6 + b*1 and v?
20
Let i = 2879/11 - 1146205/4378. What is the common denominator of i and -37/18?
3582
What is the common denominator of 45/14 and (-2)/14 + -1 + 1448/336?
42
Let k = 1277/2 + -658. Let n be (-2 - 0)*(-7 + 2). What is the common denominator of 885/24*(-9)/(225/n) and k?
4
Suppose -w = 4*t - 5*t - 21, -w - 3*t + 9 = 0. Calculate the smallest common multiple of w and 18.
18
Let w(l) = -l**3 - 6*l**2 - 7*l + 2. Let p be w(-4). Calculate the lowest common multiple of 24 and ((-3)/(10 + -4))/(p/12).
24
Let f(r) be the second derivative of -r**3/2 - r**2 - 10*r. What is the least common multiple of f(-6) and 18?
144
Let y = 77801/27 + -2883. Calculate the common denominator of y and 16/11.
297
Let u(f) = -f**3 + 18*f**2 - f + 20. Let p be u(18). What is the lowest common multiple of (-3)/6*-36*p/2 and 12?
36
Let j = 5913821/9646392 - -2/57419. Calculate the common denominator of 1/144 and j.
1008
Suppose 107 = 4*j + 1195. Calculate the smallest common multiple of (-2)/4 + j/(-32) and 12.
24
Suppose -5 = 5*v - 15. Let c = 20 + -14. Calculate the least common multiple of v and c/(-9)*33*-1.
22
Suppose -387*t + 770 = -382*t. Calculate the lowest common multiple of 154 and t.
154
Suppose -6*u + 64 = -2*u. Suppose -u + 65 = 4*k + 5*m, 60 = 5*k + 5*m. What is the smallest common multiple of 10 and k?
110
Let g(l) = l**3 + 4*l**2 - 2*l + 11. Let o be g(-5). Let j(u) = -u + 20. What is the smallest common multiple of 21 and j(o)?
168
Suppose 3*c - 3*d + 6 = 39, -3*d = 5*c - 39. What is the lowest common multiple of (6/4)/((-1)/(-10)) and c?
45
Suppose -3*l + 2*l + 54 = 4*b, -3*b + 29 = -5*l. What is the smallest common multiple of b and 10?
130
Let c(g) be the first derivative of 4*g**2 + g - 12. Suppose -19 = -3*y - 0*d + 4*d, 2*y - 7 = -3*d. What is the smallest common multiple of y and c(1)?
45
Let g(s) = -s**2 - 36*s + 349. What is the least common multiple of 24 and g(-43)?
48
Let b = -24 + 24. Suppose -3*s + 28 + 8 = b. What is the lowest common multiple of s and 6?
12
Let f = -5261 + 31643/6. What is the common denominator of ((-152)/(-42))/((-15)/(-35)) and f?
18
Suppose 0*w + 5*v = -5*w - 30, -v - 15 = 4*w. Calculate the common denominator of -65/2 and ((-2)/w)/(160/(-984)).
10
Let s(a) = -5*a + a + 2*a - 6*a - a**2. What is the lowest common multiple of s(-7) and 7?
7
Suppose -10 = -5*a + 3*a. Let b be 4606/23050 - 1/a. Let x = 749101/138300 - b. What is the common denominator of x and -49/8?
24
What is the lowest common multiple of 12 and (-148)/(-18) - 18*15/1215?
24
Let h = 324/13 - 23/39. Find the common denominator of (-1 + -7)*(3 - 9) and h.
3
Let t be (-6)/((-4)/(-5) - 1). Find the common denominator of (-21)/8*76/(-9) and ((-261)/t)/(-1) - -2.
30
What is the common denominator of -151/162 and ((-149)/1)/(38 - 2)?
324
Let q(n) = -n**2 - 10*n + 12. Let r be q(-11). Find the common denominator of 71/6 and 2*(-177)/660*r.
330
Let k(j) = j**3 + 13*j**2 - 14*j - 16. Let l = 6 - 1. What is the least common multiple of k(2) and l?
80
Suppose -2*q - 8 = -16. Suppose -4*k + q*a = -452, -434 = -2*k - 2*k - 2*a. Calculate the common denominator of (14/35)/(36/k) and 81/14.
126
Let k(v) = -5*v - 4. Let j(z) = -z + 3. Suppose 0 = 3*t + 2*t + 30. Calculate the least common multiple of k(-3) and j(t).
99
Let a be 1/3 + (-44)/(-12). Suppose k = -5*y + 12, -4*k - a*y = -9*y + 52. Find the common denominator of 27/2 and 4/k - (-49)/(-5).
10
Let a = -28/171 - -9467/56772. Let b = a + -1339/3652. Find the common denominator of b and 15265/(-344)*2/5.
44
Let f = 984/11 - 14012/165. Calculate the common denominator of 83/21 and f.
105
Let a(t) = 10*t**2 - 69*t + 272. Calculate the smallest common multiple of a(4) and 24.
312
Let p(s) = -s**3 - 3*s**2 - 3*s - 2. Let b be p(-3). Suppose -130 = 5*k - 25. What is the least common multiple of 8 and (b/(-21))/(1/k)?
56
Let h be (278/(-44) - 0)/(3/9). Suppose 0 = 2*k + 7 - 45. Let j = h + k. Calculate the common denominator of j and 71/4.
44
Suppose 4*s = m - 10, 53 = 5*m + s + 3. Suppose 12*i = 13*i - 4. Calculate the least common multiple of i and m.
20
Let r = 10839 - 238503/22. What is the common denominator of -71/8 and r?
88
Suppose 2*i - 10 = -4*v - 2, v - 3*i = 9. Suppose -g - v*b = -4*b - 18, 36 = 2*g - b. What is the lowest common multiple of 22 and g?
198
Let s be 42/(-70) + (-798562)/(-120). Let i = 6658 - s. What is the common denominator of i and (-138)/14*(-14)/20?
60
Suppose 5*i - 3*y - 31 = 0, 2*y - 53 = -4*i - 15. Let j(d) = 10 - 13*d + 6*d + 1 + i*d. What is the lowest common multiple of 16 and j(-9)?
16
Suppose 14*n = 6*n + 16. What is the common denominator of (n - 159/(-189)) + (-8)/28 and 73/21?
63
Suppose 0 = -10*g + 2200 - 2180. Let p = -68 - -102. What is the smallest common multiple of g and p?
34
Let x = 14/33 - 265/132. Find the common denominator of x and -59/4.
12
Suppose 3*n + 7*v - 3*v = 44, 0 = -2*n - 5*v + 34. Suppose 6*g = 5*g + n. What is the smallest common multiple of g and 9?
36
Let b(q) = -q**3 - 18*q**2 - 16*q + 19. Let f be b(-17). Suppose 2*m + f = 14. What is the least common multiple of 42 and m?
