Let r be l(-6). Let m = r - -148. What is the least common multiple of m and 0 - (2 - (6 + 0))?
28
Let w be (-339215 + -2)*((-237)/(-234) + -1). Let n = 4349 + w. Find the common denominator of n and 45/16.
624
What is the common denominator of 21/60*(-13)/((-4004)/186) and 81/968?
4840
Suppose 4*h + 3*j + 539 - 175 = 0, -2*h - 2*j = 182. Let t = -81 - h. What is the least common multiple of (-12)/8*(-44)/3 and t?
110
Calculate the common denominator of -121/1368 and 8 + (-14)/((-7)/(-1)) - (-205)/(-44).
15048
Suppose z + 7 = -2*o, -5*z + 0*o = 2*o - 5. Suppose z*d + 256 - 862 = 0. What is the lowest common multiple of d and 8?
808
Let l = 86 - 74. Suppose l = 3*q - 24. Calculate the smallest common multiple of 36 and q.
36
Suppose 2*m + 3*u - 60 = 0, 3*m - 90 = 55*u - 52*u. Suppose 3*t - 152 = -0*t - n, 44 = t - 3*n. What is the smallest common multiple of t and m?
150
Let m(n) = 4*n - 18. Let d be m(-4). Let b be (-3 + 7626)*1*d/(-60). Let w = b + -4313. Calculate the common denominator of 2/9 and w.
90
Suppose 71 + 11 = -2*p - 5*n, 2*n - 263 = 5*p. Find the common denominator of 163/30 and 18/(-45) - p/120.
120
Let b(x) be the second derivative of 0*x**2 - 6*x - 1/6*x**3 + 0. What is the smallest common multiple of 7 and b(-1)?
7
Suppose 5*c = -5*s + 15, 3*s + s + 3*c = 11. Let q(x) = -13*x**2 - 9*x**2 + 20*x**s + 16*x + 6. What is the lowest common multiple of q(8) and 30?
30
Calculate the lowest common multiple of 848 and 6*44/(-33) + 18 + -2.
848
Let f(b) = 2*b**3 - 9*b**2 - 8*b + 29. Let m be f(13). Let p = -11115/4 + m. What is the common denominator of 44/5 and p?
20
Let j = -2913 + 3023. Calculate the smallest common multiple of j and 517.
5170
What is the common denominator of -161/30 and ((-8)/(-84) - 2708/1533)/(-6)?
2190
Let j(v) = -8*v**3 + 4*v**3 + 17 + 0*v + 25*v**2 - 10*v + v**3. Calculate the smallest common multiple of 53 and j(8).
53
Suppose -22*k + 3*q + 54 = -19*k, -6 = -k + 4*q. Calculate the lowest common multiple of 3204 and k.
35244
Let g(y) = 10*y + 72. Let k be g(-18). Calculate the common denominator of (-224)/k - ((-7)/(-6))/(-7) and 9.
54
Suppose -19457*m = -19463*m + 846. What is the smallest common multiple of 24 and m?
1128
Let q = -1606 - -2630. Calculate the least common multiple of 320 and q.
5120
Let w = 16 - 49. Calculate the common denominator of -31/2 and (-177)/w + 0 + -7.
22
Suppose 11*f = -13*f + 168. Let r(z) = z**3 - 8*z**2 + 11*z - 14. Calculate the smallest common multiple of r(f) and (-8)/(-6)*(-66)/(-4).
154
Suppose -396*f - 2088 = -390*f. Let s = -341 - f. What is the smallest common multiple of s and 6?
42
Let b be (0 - 4)/((-2)/8). Suppose -21*k + b*k - 145 = 0. Let d = k - -31. What is the smallest common multiple of d and 7?
14
Let j = -9 + 47. Suppose 150 = -c + 4*c. Let d = c - j. Calculate the smallest common multiple of d and 4.
12
What is the lowest common multiple of 180 and (15/9)/(570/43092)?
1260
Let b(c) = -4*c**2 - 48*c - 26. Let t be (-1 - (-3 - -3))/(5/55). Calculate the smallest common multiple of 99 and b(t).
198
Let l = -45189459 + 38953318723/862. Let n = l - 3/3448. Let w = 7175/3 + -2371. What is the common denominator of n and w?
24
Let p = 50 + -47. Let j(l) = -l**3 + l**2 + 8*l - 3. Let t be j(p). Suppose t*a - 11 = 7. Calculate the smallest common multiple of 21 and a.
42
Let i be (-36388)/(-6) + 4 + -3. Let v = 205353142/33855 - i. Let w = -1026917/203130 + v. Find the common denominator of w and -59/14.
126
Let l(g) be the first derivative of -7*g**2/2 + 102*g - 131. Calculate the lowest common multiple of 210 and l(12).
630
Let a(s) = 28*s - 2. Suppose 332 = 3*b - 4*g, 2*b - 174*g = -179*g + 160. Calculate the least common multiple of a(4) and b.
1100
Suppose 321*m = 1915 + 974. Suppose 2 = c + 5, 4*c + 18 = -2*d. What is the least common multiple of 1/d*-3*12 and m?
36
Calculate the least common multiple of 4 and (5/2 - -1)*(684/63 - 10).
12
Suppose 0 = 7*p + 7*p - 602. Suppose 5*d = -3*h + p, 2*h + 25 + 5 = 4*d. What is the lowest common multiple of 28 and d?
56
Suppose -20*s = -38*s - 34*s + 65520. What is the lowest common multiple of 450 and s?
6300
What is the common denominator of (21/1610)/((-2)/(-4) - 112/416) and -37/1265?
2530
Let y = 239/6 - 28. Calculate the common denominator of y and -3 - 7 - ((-2)/(-10) + 4389/(-342)).
30
Let g = 6807 + -306296/45. Find the common denominator of g and -5/372.
5580
Let x be 242 + (-5)/40*0. Let h = -233 + x. What is the smallest common multiple of h and 43?
387
What is the common denominator of -33/70 and (7 + 440/(-105))*(-4)/(1248/18)?
1820
Suppose -6*w = w - 21. Suppose -12 - 21 = -w*t. Suppose 3 = 5*f - 7. What is the lowest common multiple of f and t?
22
Find the common denominator of -41/364 and 2/(-28)*38 - (104/(-32) + 4).
364
Let a = -1/1400 + 9811/15400. Let v be 945/20*4/6. Let l = v - 25. Calculate the common denominator of l and a.
22
Suppose 2*x = 2*g + 68, 2*g = -4*x + 50 + 98. What is the smallest common multiple of x and 54?
108
Let z = 2/335707 - -21149165/63112916. What is the common denominator of 81/4 and z?
188
Let d(a) = 2*a**2 + 20*a + 124. Calculate the least common multiple of d(-13) and 108.
10908
Suppose 14*u - 287 = -175. What is the smallest common multiple of u and 122?
488
Let k = 107887953/725 + -148811. Let y = -60439/8700 - k. Calculate the common denominator of y and 29/3.
12
Let l(w) = -w**2 - 324*w - 23065. Calculate the lowest common multiple of l(-107) and 6314.
6314
Let k = -541545 + 555625259/1026. Find the common denominator of 77/1026 and k.
1026
Suppose 12*b - 13*b + 12 = 0. Suppose 156 = 4*k - 3*u - u, 0 = k + 4*u - 54. What is the least common multiple of k and b?
84
Suppose 9*u + 46*u - 1656 = -14*u. What is the lowest common multiple of 32 and u?
96
Calculate the common denominator of -5 + 1 - (6/(-4))/((-2646)/(-7554)) and -143/210.
1470
Suppose 0 = -9*i - 10*i - 228. Find the common denominator of -31/18 and 86/(-84) - (3 - i/(-6)).
126
Let t be (50/30)/(1/(-3)). Let n = 4 - t. What is the common denominator of 13/11 and 2 + 31*(-1)/n?
99
Let t = 32001/16702 - -15/1193. Calculate the common denominator of 64/129 and t.
1806
Calculate the common denominator of (-7)/((-490)/121) + 1 + 6/(-5) and -17/445.
6230
Suppose 636*s - 633*s = -4*z + 233, 2*s = -3*z + 156. What is the smallest common multiple of 27 and s?
675
What is the smallest common multiple of 5 - ((-156)/6 + 19) and 2884?
8652
Let m = 20 - 8. Calculate the least common multiple of (177 - 21)*1/3 and m.
156
Suppose -358 = 112*t - 1385 - 1213. Calculate the least common multiple of t and 82/7 + (-20)/(-70).
60
Let h(v) = 10*v + 4. Calculate the least common multiple of 1 + (16*(-10)/20 - -23) and h(4).
176
Suppose -4*l + 768 = 2*l. Let a = -2389/3 + 38131/48. Find the common denominator of (l/220)/((-2)/(-5)) and a.
176
Let n = -7/972 + -12055/1944. Let f = 471289 - 4673191/10. Let c = 3960 - f. What is the common denominator of n and c?
120
Suppose 21 = 5*d + v, v + 3*v = -5*d + 9. Find the common denominator of 27/14 and ((-68)/2376)/(d/(-75)).
1386
Suppose -6 = 2*h + 2. What is the common denominator of (-914)/(-52) + h/52 and (-2)/3 + (-50)/8?
12
Suppose 15*m + 423 - 1638 = 0. Let y = -63 + m. Suppose -6*z = -3*l - 2*z + 77, -4*z = 4*l - 112. Calculate the smallest common multiple of y and l.
54
Suppose -2*v - 3332 = -4*x, 0 = x + v - 47 - 795. Calculate the smallest common multiple of x and 440.
8360
Suppose 0 = u + 5*i - 867, -1368 = -3*u + 5*i + 1193. Calculate the least common multiple of 5 and u.
4285
Calculate the smallest common multiple of (23 + -20)/(1/(11/3)) and 284.
3124
Let p = 29041/3 - 9671. Find the common denominator of 44/3963 and p.
3963
Let q(a) = a + 14. Let r(d) = -d - 54 - 9 - 2*d + 6. Let h(w) = 9*q(w) + 2*r(w). Calculate the least common multiple of 6 and h(13).
102
Let x = -13/33 - -2857/132. What is the common denominator of -113/4044 and x?
4044
Let b = 84 - 91. What is the common denominator of 111/28 and ((-1917)/276 + 7)*(0 + b)?
644
Let i(j) = -59*j - 1761. What is the lowest common multiple of i(-30) and (-4)/(-5)*(-570)/(-4)?
342
Suppose -5*z + z = -4*p - 16, 3*z = 2*p + 13. Suppose 5 = -z*h + 4*h. Find the common denominator of -1 - h - (-99)/(-2) and -39/7.
14
Su