82))/29?
1230
Calculate the common denominator of -38/7293 and (-6)/(-27) + (-10004)/(-35685).
36465
Suppose 6*j + 2522 = -5*k + 2*j, -k + 5*j - 516 = 0. Let b = 1772999/345 + -129864/23. Let y = k - b. What is the common denominator of -55/3 and y?
15
Let w = -31414706043/88 - -356981418. Let p = 3878 + w. What is the common denominator of p and -7/66?
264
Let a(v) = 5*v**2 + 55. Let r(w) = -2*w**2 + 26*w - 44. Let u be r(11). Calculate the least common multiple of 22 and a(u).
110
Suppose -47*a = 40*a - 81432. What is the smallest common multiple of a and 234?
936
Calculate the least common multiple of 285 and (285/6 - 0)*1*42/35.
285
Let p = -100785 + 49384697/490. Calculate the common denominator of -17/70 and p.
490
Let q be (0*(-1 - -2))/(6 + -4). Suppose 0 = 3*z - q*z - 24. Calculate the smallest common multiple of (-1)/(63/16 + -4) and z.
16
Let o be ((-2)/4)/((-1)/48). Suppose 2*f + 3*d = -2*f + 15, -o = -2*f + 4*d. Let r = -599 - -621. What is the smallest common multiple of r and f?
66
Let p = 62256509/50 - 22692465301/18200. Let d = p - -22188/13. Find the common denominator of d and -69/4.
56
Let o = 30073/30000 - 28/1875. Find the common denominator of 67/340 and o.
1360
Let g(d) = 2*d**3 - 22*d**2 + 31*d - 13. Let x be g(12). Let v = -637 + x. What is the smallest common multiple of 110 and v?
110
Let y = -156 - -157. Let p = 38 - 0. Calculate the common denominator of 27/17 and (y + p/(-48))/(4/(-12)).
136
Let g be 722/180 + (-1)/(-10). Let p = g + -1517/126. Calculate the common denominator of p and 73/35.
70
Let x(k) = -k**3 + 3*k + 1. Let s be x(-1). What is the common denominator of -37/36 and (1405/90 + 5)*s/14?
36
Let i be (2 + 202)/(((-15)/(-18))/5). Find the common denominator of 127/12 and 42/i - 3/(-12).
204
Let w(a) = -a**3 - 20*a**2 - 23*a - 7. Let b be w(-19). Let i = 42 - b. Find the common denominator of (267/i)/(8/3) and -49/2.
24
Suppose 11*o = 7*o + 88. Let w = -68 - -80. Calculate the lowest common multiple of w and o.
132
Let x be (2 + (-84)/9)/((-8)/84). Find the common denominator of 735/(-208) - ((-120)/65 + 2) and (-11)/(x/(-2)) + (-275)/56.
16
Suppose -8*m - 30 = -70. Suppose m*h + 3*z = 5*z + 334, h + z - 64 = 0. What is the smallest common multiple of h and 9?
198
Suppose -3*b = 2*g - 1448, 2*b - g = -3*b + 2435. Calculate the smallest common multiple of 37 and b.
17982
Suppose -389700159 = -4*p - 35631691. Let q = -1947046007/22 + p. Let j = q + -15023. Find the common denominator of 41/18 and j.
198
Let m = -13 - -20. Suppose -18 = 3*f - 3*o, 0 = -f - 0*o - 2*o - 6. What is the least common multiple of m and -2 + 2 + (-3 - f)?
21
Let f be 12564/(-54) + 2/3. Calculate the common denominator of 79/12 and ((-41)/3)/(9 - f/(-24)).
12
Let z = 252343309/1050 + -240327. Calculate the common denominator of -71/90 and z.
3150
Calculate the common denominator of 7 + -2*((-1675)/(-180) + -4) and -79/1062.
1062
Let c = 3 + -2. Suppose 98 = -3*s + 2. What is the lowest common multiple of (c + (0 - s))*(1 - 0) and 24?
264
Let w = 1519 - 819. What is the smallest common multiple of 16 and w?
2800
Let y = 3 + 8. Suppose -7 = 4*j + 5, f - y = -3*j. Suppose -f = -6*q + 28. What is the least common multiple of q and 10?
40
Let f(h) = 2*h**2 + 27*h - 37. Let j be f(-15). Let y(c) = 3*c**2 - 2*c - 26. What is the smallest common multiple of 12 and y(j)?
300
What is the least common multiple of (-50)/(-4)*(-8568)/(-70) and 1224?
6120
Calculate the common denominator of 91/1566 and (((-225)/5481)/(-1))/((-60)/(-70)).
1566
Let b = 971/3 - 42541/132. What is the common denominator of (-230)/(-363) + 4/(-6) and b?
484
Let l(s) = s - 20. Let v be l(20). Suppose v = f + 3*f - 20. Suppose n - b + 8 - 47 = 0, 25 = -f*b. Calculate the least common multiple of 9 and n.
306
Let z = -1/493 + -15217/32538. Find the common denominator of -121/900 and z.
9900
Let w = 646 - 629. Suppose w*t - 16*t = -3*y + 16, 0 = -2*y + t + 4. Calculate the least common multiple of 0 + (1/(-1) - -9) and y.
8
Let c = 138 + -8141/59. Let t be 6/(-9) + (-7369)/(-354). Let k = c + t. What is the common denominator of -14/5 and k?
30
Let q = 102451/9 + -11388. Find the common denominator of q and -58/8073.
8073
Let u = 74215/10119 + -3/3373. What is the common denominator of -43/366 and u?
366
Let q = 23 + -19. Suppose 3*w = -q*b + 42, w + 30 = 3*b + 5. Let f(u) = -3*u**2 - 20*u - 23. Calculate the smallest common multiple of b and f(-4).
9
Calculate the common denominator of -38/2323 and -258 + 254 - 877/202*-1.
4646
Let o = 3441/7 + -487. Let l = 67/6 - 41/30. Find the common denominator of l and o.
35
Let r = -5164 + 92819/18. Calculate the common denominator of r and (6/(-40))/(108/(-2112)).
90
Let a = -1/7642 + -97408/210155. What is the common denominator of 19/20 and a?
220
Let o = 127 - 131. Let r(g) = -g**2 - 13*g - 31. Let b = 10 + -7. Calculate the lowest common multiple of r(o) and b.
15
Let g(m) be the second derivative of -m**3/3 - m**2 - 2*m. Let z be g(-13). Let n = 40 - z. Calculate the least common multiple of n and 22.
176
Let n be (-1 + (-1854)/12)*(0 - -4). Let v = -616 - n. Suppose -j + 1 = -3*j + t, 4*j + 4*t - 16 = 0. Calculate the least common multiple of j and v.
6
Let s = 1217331/38 - 32033. Let n = -522 + -8106. Let u = n - -172499/20. What is the common denominator of s and u?
380
Let o(t) = -t**2 + 19*t + 6. Suppose a = 5, -a + 25 = 2*i - 0*a. Calculate the least common multiple of i and o(11).
470
Let r be ((-1)/((-2)/68))/(22/77). Find the common denominator of (-15)/81*(r + -2)/(-3) and -119/54.
54
Let r(x) = x**2 + 14*x + 10. Let i be r(-6). Find the common denominator of i/(-5 - (-4)/(-28)) and 427/210*(-10)/(-4).
36
Let d = 13634 + -13601. Calculate the lowest common multiple of 440 and d.
1320
Let h(k) = k**2 + 23*k - 6659. Suppose 4*n - 1 - 619 = 0. Calculate the least common multiple of n and h(71).
465
Let u be (-18)/(-5)*(75/10)/3. Let l = u + -4. Suppose -2*t - l*r = 75 - 263, 4*t = -3*r + 348. Calculate the lowest common multiple of t and 9.
252
Let x = 169310/33 - 5131. Find the common denominator of x and 1/11 - 5067/(-891).
99
Let b(p) = -p**3 + 4*p**2 + 626*p - 57. What is the smallest common multiple of b(27) and 1092?
1092
Suppose 0 = 4*n + 4*m - 132, -5*m - 113 = -5*n + 52. What is the common denominator of (-9)/n - 32/(-11) and -59/99?
99
Suppose -3*l = z - 35, -4*l - 14 = -5*l + 2*z. Let t = 83 - 581/6. Find the common denominator of 73/6*(-9)/l and t.
24
Let n be (-12)/16*(-4360)/30. Suppose 101*z = n*z - 768. What is the lowest common multiple of z and 30?
480
Let k = 5785/3104 + 65/388. Let c be 0 + 1/(-4) + (-1297)/(-4). What is the common denominator of k and (34119/c)/(-17) + 8?
288
Let o(i) = -i**3 - 41*i**2 - 336*i - 98. What is the smallest common multiple of o(-31) and 1298?
7788
Let c = -8375 - -226151/27. Calculate the common denominator of c and (-177)/(-396) - (-252)/(-144).
297
Let o(u) = -u**3 - 4*u**2 + 49*u + 18. What is the lowest common multiple of o(-12) and 12?
1164
Find the common denominator of -5/1053 and (96/256 + (-605)/24)/(-351).
2106
Suppose k - 5 = 0, 2*b - 203 - 4 = -5*k. Let t(y) = -y**2 - y - 13. Let a be t(0). What is the lowest common multiple of (-236)/a + (-14)/b and 6?
18
Find the common denominator of (-46617)/(-31158) + (12 - 432/32) and 50/21.
36351
Suppose -5*n = -2*x - 5, -4*n + 0 = -5*x + 13. Suppose -x*s - 2*s = s. Suppose j + j - 10 = s. Calculate the smallest common multiple of j and 4.
20
Suppose 4*r = 3*m + 1 + 34, -4*r + 2*m + 34 = 0. Let i(s) = -s**3 + 9*s**2 - 5*s - 14. Calculate the smallest common multiple of i(r) and 4.
20
Find the common denominator of 59/49 and 4198/(-2121) - 5/(25/(-10)).
14847
Let c = 78863/30654 + 5/1179. What is the common denominator of 109/528 and c?
6864
Let h = -1917981/86650 - -1107/50. Let u = h + 84773/27728. Find the common denominator of (-1771)/140 + 3 + (-7)/(-112)*-4 and u.
80
Let d = -648558 + 648639. Calculate the lowest common multiple of d and -1*1 + (0 - -55).
162
Let m = -49/20 + -1/20. Let x(g) = -155*g**2 - 4*g - 6. Let b be x(-4). Let y = 24581/10 + b. Find the common denominator of m and y.
10
Suppose 0 = -2*b + 3*b - 7. Suppose -18*q + 97 = -11. Suppose -b*v = q*v - 65. Calculate the least common mult