6
Let j = 10 - -34. Calculate the common denominator of (-3 - -7 - 63/j) + -1 and 31/12.
132
Let r be (-24)/(-5)*(-4 - -2 - -62). Suppose 4*w = 4*o + 288, -4*w - o + r = 4*o. What is the lowest common multiple of w and 22?
792
Let x = 399887/52318 - 2/3737. Let b(d) = 3*d**2 - 4*d. Let j be b(3). What is the common denominator of x and (-617)/230 + 6/j?
322
Suppose 5*b + 2*s + 112 = -2038, 2155 = -5*b - 3*s. Let i = -58371/4 + 15008. Let k = b + i. Find the common denominator of k and -45/14.
28
Let x = 15 - 14. Let j be -3 + 2 - (-2 + x). Suppose j = 3*n - 7 - 5. What is the least common multiple of n and 2?
4
Suppose 4*l - 28 = -3*t, 3*l + 5*t - 5 = 5. Let o(j) = -j**2 + 6*j - 14. Let c be o(l). Let i = 86 + c. Calculate the lowest common multiple of i and 8.
32
Let x(v) = 0 - 6*v - v - v - 10. What is the lowest common multiple of x(-3) and 8?
56
Let c(o) = 6*o - 19. Let g be c(-6). Let v = g - -113. Calculate the lowest common multiple of 16 and v.
464
Let r = -11339327147281351/77595 - -146134765734. Let c = r + 6/3695. Calculate the common denominator of c and -121/6.
42
Let t = 2169/4 + -529. What is the common denominator of t and -71/16?
16
Suppose 2*p + 3 - 15 = 0. What is the least common multiple of 1 and p + -6 + 1/((-1)/(-2))?
2
Suppose 0*n = 5*n - 60. Suppose -2*i + n = -i. Let z(s) = 2*s**2 + 7*s + 10. Calculate the lowest common multiple of z(-4) and i.
84
Calculate the common denominator of 29/2 and (-15)/(-4) - 61/610.
20
Let r(q) = -q**2 - 6*q + 4. Calculate the lowest common multiple of r(-6) and (-665)/(-57) - (-5)/(-3).
20
Find the common denominator of -77/1066 and (-518)/(-48) + ((-420)/63 - -7).
4264
Let n(q) be the first derivative of -q**4/4 - 5*q**3 - 17*q + 3. Let g = 10 + -25. What is the common denominator of n(g) and -11/9?
9
What is the common denominator of -14/33 and (1/(-2))/(162/45)?
396
Let o = 3/64820 + 1668971/3111360. Calculate the common denominator of o and -3/11.
2112
Let g = -1162 + 1168. What is the smallest common multiple of g and 14?
42
Let q = -8105 + 48745/6. Find the common denominator of 59/(-33) - (-8)/(-12) and q.
66
Let b = 192 + -134. Find the common denominator of -79/14 and b/16 - 6/168*7.
56
Suppose 0 = 2*h - 2 - 6. Suppose -h*x + 10 = -2. What is the least common multiple of x and 10?
30
Let c = 0 + 9. Suppose c - 34 = -5*x. Suppose -p = x*p - 66. Calculate the least common multiple of 8 and p.
88
Let k be (-5 - -4)*17/((-3)/3). Suppose -3*a + 358 = -2*r, -5*a - 97 = -2*r - 691. Calculate the common denominator of a/(-72)*(-19 + k) and -151/6.
18
Let o be (0 - (-22154)/24) + -4. Let s = 920 - o. Find the common denominator of s and (-86)/(-8) - 12/6.
12
Suppose s - 3*s + 18 = 0. Let n = -57 - -11. Let f = 52 + n. Calculate the smallest common multiple of f and s.
18
Let f(a) = 26 - a - a - 10 + a. Calculate the lowest common multiple of -2*(2 + 10/(-4)) and f(14).
2
What is the common denominator of (18/15)/(356/140 - 3) and -19/5?
40
Calculate the smallest common multiple of (-4)/(-12)*-3 - (-7)/1 and 68.
204
Suppose -8*d + 172 = 35*d. What is the smallest common multiple of 388 and d?
388
Let u(q) = 11*q**2 - 4*q - 1. Let d be u(2). Let v = d - 27. Find the common denominator of 57/22 and 1/(-10) + v/(-40).
110
Let d = 4916 + -39233/8. Calculate the common denominator of d and (5/8)/(-6 + 245/42).
8
Let i = -42905337/416 + 103138. What is the common denominator of i and 67/104?
416
Let v(s) = -s + 6. Let p be -4 + 5/(10/6). Let b(i) = 12*i - 2. Let m be b(p). What is the lowest common multiple of 4 and v(m)?
20
Let g = -1672/4029 - -8/79. Let x = -487/54 + 20/27. What is the common denominator of g and x?
306
Suppose 8*q - 201 = -57. Suppose 4*u + 15 - 3 = 0, 2*w = -u - 3. Suppose w*k + 20 = 5*k. Calculate the smallest common multiple of q and k.
36
Let s = -87/10 + 1/5. What is the common denominator of 27/71 and s?
142
Suppose 4*a - 15 - 1 = 0. What is the common denominator of -1 + a - (-6 - (-412)/16) and -107/14?
28
Let r be (-1 - -3 - 3) + 8. Let q = 9 - r. Suppose -10 = -q*g, -i + 19 = 2*g + g. Calculate the lowest common multiple of 18 and i.
36
Suppose -3*c - 38 = 19. Suppose -8*z - 383 = -79. Calculate the smallest common multiple of (13 + 1)*c/z and 11.
77
Suppose 2*h = p - 3*p, -5*h - 4*p = 0. Let r(b) = b + 96. Let g be r(h). Suppose 4*i + 2*i - g = 0. Calculate the least common multiple of i and 8.
16
Let j(s) be the second derivative of 0*s**4 + 9/20*s**5 + 1/2*s**2 + 0 + 6*s - 1/3*s**3. What is the lowest common multiple of j(1) and 14?
56
Let l be (-1 - (-151)/4) + 4/16. Let z = l + -29. Calculate the lowest common multiple of 3 and z.
24
Let v be (-5053053)/36 - 1/3. Let m = -139639 - v. Let q = 725 - m. Find the common denominator of 61/36 and q.
36
Suppose 0 = 17*c - 22*c + 6300. Find the common denominator of (((-81)/(-3))/1)/(-22) and 4/(-10) + 2574/c.
154
Let m = 2/7907 + -213527/150233. What is the common denominator of 61/12 and m?
228
Suppose 5*p - 1 = -4*y - 2, -3*p + 5 = y. Let u = -15 + 36. Calculate the lowest common multiple of p and u.
21
Let c be (-33226)/(-8)*(-1)/2. Let s = c + 2082. Calculate the common denominator of s and -11/20.
40
Suppose -8*a = -21*a + 494. Calculate the least common multiple of 20 and a.
380
Let x(j) = -j**2 - 25*j - 143. What is the lowest common multiple of 9 and x(-13)?
117
Suppose 2*a = 5*y + 24, 3*a + 4*y + 6 = y. Suppose -4*q = -x - 74, a*q = -6*x + x + 26. What is the lowest common multiple of (30/20)/((-6)/(-8)) and q?
18
Suppose 8 = 2*w, 4*w - 92 = -5*u + 6*w. Let t(q) be the first derivative of 2*q**3/3 + 4*q**2 + 12*q + 15. Calculate the lowest common multiple of u and t(-5).
220
Calculate the least common multiple of 3 + (279/62)/(1/34) and 52.
156
Let n = 1589 + -1557. Calculate the smallest common multiple of n and 96.
96
Let p = 405 - 403. Suppose 3*t + 131 = 2*v, -2*v - 3*t + 121 = -4*t. Calculate the common denominator of -21/5 and p - v/16*6.
20
Suppose 23*v + 60 = 26*v. Calculate the lowest common multiple of v and (-42)/(-9)*90/35.
60
Suppose 0 = 3*o + 56 - 62. What is the common denominator of 8/o + (-62)/20 and 19/22?
110
Let g = -17 + 17. Suppose 11*b - 9*b - 32 = g. Let x = -6 - -18. Calculate the least common multiple of b and x.
48
Let o = -47439/10 - -4738. Let h = 171324749216141/12090 - 14170781563. Let f = 22/1209 + h. Find the common denominator of o and f.
10
Suppose -2*t + b = 3*t - 75, 0 = -4*t + 2*b + 66. Calculate the lowest common multiple of 16 and t.
112
Let d = -251 + 258. Let c be (-22)/(-2) - (2 + 1). What is the lowest common multiple of (1/4)/(1/c) and d?
14
Let p be ((-56)/(-16))/(2/(-20)). Let l = 17 + p. What is the common denominator of 1 - ((-381)/l)/(-1) and 115/18?
18
Let b be 3314*(-3 + 2) + 3 + -2. Let g = 1195707/5 + -235840. Let l = g + b. Calculate the common denominator of 30 and l.
5
Let u(s) = -s**2 + s - 1. Let w(v) = 35*v**2 - 6*v + 6. Let l(h) = 4*u(h) + w(h). Let k be l(3). Calculate the common denominator of (k/(-20))/(6/4) and -19/7.
42
Let z(a) = a**3 - 2*a**2 - 9*a - 8. Let p be z(4). Find the common denominator of -67*(-4)/6*2/p and 74/3.
9
Find the common denominator of -101/6 and 715/840 - ((-33)/(-18) + -2).
168
Let n = 9 - 6. Suppose 5*z + 5*p - 45 = 0, z + 2*p + 7 = 21. What is the smallest common multiple of z and n?
12
Let j = 8 + -4. Suppose -j*r + 5*k + 25 = 0, -k + 6 = r - 2*k. Calculate the common denominator of 77/20 and (3/r)/(36/(-45)).
20
Calculate the smallest common multiple of ((-3)/(-15))/(11/5390) and 336.
2352
Let m(x) be the first derivative of x**3/3 + x**2/2 + x + 2. What is the smallest common multiple of m(-2) and -1 - (0 - 12)/(-2)*60/(-180)?
3
Suppose -5*b + 35 = -0*a - 2*a, 0 = a + 4*b + 11. Let p be (-150)/(-4) - 4/8. Let y = a + p. Calculate the lowest common multiple of y and 8.
88
Suppose 255 - 99 = 4*a. Suppose 81 = 5*n - a. What is the lowest common multiple of 27 and n?
216
Suppose -5*k = -22 + 7. Suppose -2*m + 17 = 5*b, -k*b + 2*b - 47 = -2*m. What is the least common multiple of 27 and m?
189
Let q = 689 + -626. Calculate the least common multiple of 9 and q.
63
Let c = -80345/70452 - 4/927. Calculate the common denominator of c and -27/19.
76
Let m = -33 - -38. Suppose h = 5 + m. Calculate the least common multi