-w*u = -22*u + 3. Calculate the least common multiple of 1/(-2)*0 + 2 and u.
2
Let j = -164527/32 - -5142. Calculate the common denominator of j and (-7)/(-49)*5*-1.
224
Let q be ((-92665351962276)/(-19648))/(322/8). Let u = q + -2695014192/23. Let p = u + 3/2149. What is the common denominator of -79/20 and p?
20
Let u(p) = p**2 - 9*p + 16. Let t be u(5). What is the common denominator of -62/5 and t - ((-15)/(-50) + -4)?
10
Let m = 43 + -29. Let a be ((-4)/m)/(7/(-49)). Calculate the common denominator of 19/7 and (a + (-53)/16)*6.
56
Suppose 0*j - 4*j + 196 = 0. Calculate the common denominator of 1*(-154)/j*(1 - 0) and 31/2.
14
Suppose -3*v - 2*v + 45 = -5*a, -4*v - 4*a + 28 = 0. Suppose -4*n + 24 + 32 = 0. Calculate the lowest common multiple of n and v.
56
Suppose -5*f + c - 1060 = 0, -217 + 1307 = -5*f - 5*c. Let r be f/(-6)*5/(-648). Let u = 7/81 + r. What is the common denominator of u and -1/20?
80
Suppose 0 = -5*z + 4*r + 1, 0*z + 1 = -z + 2*r. Let v be -1*(14 - 0 - z). Let w = v - -21. What is the least common multiple of 12 and w?
24
Suppose 3*x = x + 12. Suppose -2*f - 16 = -2*t, -34*t + 39*t - f = 28. Let v = t + x. What is the lowest common multiple of v and 11?
11
Let v(x) = 269*x + 9. Let d be v(-2). Find the common denominator of d/140 - (-57)/133 and -11/34.
340
Let q(l) = -7*l - 10. Let p be q(-7). Let u = p + -28. Suppose 0*z - 2 = -z. Calculate the least common multiple of u and z.
22
Suppose -321 = -41*t + 499. Calculate the smallest common multiple of 756 and t.
3780
Find the common denominator of (21/(-14))/((-42)/(-9)) and 65/154.
308
Let o = 301 - 838/3. Let d(u) = -5*u**3 - 15*u + 14. Calculate the common denominator of o and d(1).
3
Let c = 6651/10 - 657. Find the common denominator of c and (-8)/12*282/40.
10
Suppose 218 - 938 = -10*r. Calculate the smallest common multiple of 48 and r.
144
Let z = 52 - 22. Suppose 8*m = 6*m + s + 46, 0 = -4*m - 4*s + 116. Calculate the common denominator of 99/10 and z/m*11/(-3).
10
Suppose -19*r + 17*r + 96 = 0. Let k = r - 46. Suppose -24 = -7*j + 4*j. What is the smallest common multiple of k and j?
8
Let l be 3/(6/(-104))*14/28. Let i = 12 - l. Calculate the smallest common multiple of 14 and i.
266
Let l = -118117/6072 + 214/11. What is the common denominator of l and -7/6?
552
Let y be 44/10 + 8/(80/6). Suppose 3*x + 2*z - 56 = 0, y*z = 2*x - 0*x - 50. Calculate the lowest common multiple of x and 52.
260
Let u(o) be the third derivative of 87*o**6/40 - o**4/12 - o**3/6 + 2*o**2. Let t be u(-1). Calculate the common denominator of (t/56 + -2)/1 and -41/18.
126
Let v = 1019900027/180030 - 12/30005. Let x = v - 5687. Find the common denominator of x and -9/7.
42
Suppose m - 4 = -0. Suppose -2*w - 10 = m*f, 4*w + 0*f + 12 = -4*f. What is the common denominator of 9/5 and ((-88)/20)/w - 1?
5
Let p(d) = d**3 + 39*d**2 - 7*d + 19. What is the least common multiple of p(-39) and 20?
1460
Let k be 736/(-176) - ((-4)/(-22))/(-1). Find the common denominator of 17/(-15) - (k - 1) and -35/6.
30
Suppose 0 = 4*i + 17 - 49. Calculate the lowest common multiple of i and 58.
232
Let j(x) = -2*x**2 - 37*x + 37. Let l(n) = 11*n**3 + 2*n**2 - 3*n + 2. What is the least common multiple of j(-19) and l(2)?
828
Suppose -4*y + 2556 = -3*y. Let f = y - 12842/5. Let p = 42817/10 - 4273. Find the common denominator of f and p.
10
Suppose 19 = 2*n + 3*n - x, 0 = 5*n + 3*x - 23. Let f be (2/(-4))/((-2)/(-8)). Let m = f + n. What is the smallest common multiple of m and 7?
14
Suppose 3*u + 22 = 40. Let o = 5 - 5. Suppose 0 = 2*z - 8 - o. What is the least common multiple of z and u?
12
Suppose 7 = 3*z - 35. Let s be (-358)/(-9) - (-4)/18. Let i = s + -34. What is the smallest common multiple of i and z?
42
Let v(b) = -103*b + 957. What is the smallest common multiple of v(9) and 636?
3180
Let g(u) = -4*u**2 - 7*u - 7. Let l(r) = r**2 - 1. Let d(i) = -g(i) - 5*l(i). Let m be d(8). Find the common denominator of 3244/(-504) + m/(-14) and 79/6.
18
Suppose 2*q - m - 28 = -3*m, -2*q + 3*m + 8 = 0. What is the smallest common multiple of (-4)/(-14)*(41 - 20) and q?
30
Suppose 82*g - 256 = 892. What is the least common multiple of g and 690?
4830
Let k(q) = -8*q**3 - 9*q**2 - 12*q - 3. Let x be k(-13). Suppose -5*d + 7*d = -x. Let b = -80969/10 - d. Calculate the common denominator of b and 67/10.
10
Let s = -17671 + 212185/12. Calculate the common denominator of -71/36 and s.
36
Let c be 8/(-1533) - -2 - 8/4. Let w = c + -26548/4599. Find the common denominator of 95/14 and w.
126
Calculate the smallest common multiple of 5/50 + (-13495)/(-50) and 210.
1890
Let q = 4259/10 + -430. Let j(g) = -3*g + 12. Let s be j(11). Calculate the common denominator of 230/14*s/(-54) and q.
90
Let u(t) = 2*t**2 - 104*t - 210. What is the lowest common multiple of 464 and u(54)?
1392
Calculate the least common multiple of -8*(-8)/384*-1166*-3 and 212.
2332
Let u = 31 + -74. Calculate the common denominator of (-12)/(-45) + (-7 + 13 - 2) and u.
15
Let y = 231 + -201. What is the least common multiple of 30 and y?
30
Find the common denominator of (-1 - (18 + -14)) + (-770)/(-144) and -1/7.
504
Let b(s) = -10*s**2 + 5*s + 6. Let w be b(-1). Find the common denominator of 30/47 and (-684)/(-21)*w/(-36).
329
Let x = -3073/232 - -65/58. Let k be (-160856)/96*6/(-20). Let d = -2484/5 + k. Find the common denominator of x and d.
8
Let c = 596 - 312. What is the lowest common multiple of c and 14?
1988
Suppose -4*f + 44 = 15*o - 18*o, -4*o - 56 = -5*f. Calculate the least common multiple of 32 and f.
32
Let k = -50 + -605. What is the common denominator of 4 - (k/(-90) + -2) and 53/18?
18
Calculate the common denominator of (88/(-132))/((-2)/(-714)*20) and 4/120*410/4.
60
What is the smallest common multiple of (5 - (-2334)/(-18))/(4/(-6)) and 10?
1870
Suppose -4*k = 12 + 4. Let b = -2 + k. Calculate the common denominator of 6/16*b*-10 and -27/10.
10
Suppose 5*q = 4*f + 5, -5*f - 2*q + 7*q = 0. Let d(z) = -z**3 + 4*z**2 + 7*z - 6. Calculate the least common multiple of 11 and d(f).
44
Suppose 0*o = 3*o + 159. Let a = -48 - o. What is the lowest common multiple of a and 9?
45
Find the common denominator of 41/2 and (-2)/(16/6) - (-776)/(-608).
38
Let d(n) = -n**2 - 7*n - 5. Suppose 4*j - 1 = -25. Let z = -8 + 11. What is the least common multiple of d(j) and z?
3
What is the common denominator of ((-2499)/28)/7*14/(-54) and -63/2?
36
Suppose -3*v - 5*y + 24 = 0, 5*y = -2*v + 7*v. Suppose -2*q + v*n + 5 = 0, -2*q + n - 2 = -5*q. Calculate the least common multiple of 2 and q.
2
Let f = 46 - 28. Suppose 0*m - 2*m + f = 0. What is the least common multiple of ((-6)/m)/(1/(-15)) and 6?
30
Suppose 4*m + 2*n - 20 = 0, -m + 9 = -2*n - 6. Suppose -5*s - 2*g + 0*g = -4, 5*s - m = -g. What is the common denominator of -47/6 and (-5 + s)*53/36?
12
Suppose -4*b - q = 571, 4*b - 2*q = q - 575. Let x be 26/b + (-290)/(-22). Let c = x + -9. What is the least common multiple of c and 24?
24
Let g = -7 - -3. What is the common denominator of -151*((-10)/36)/(-5) and g/(-40)*770/(-8)?
72
Let q = -2885/28 + 103. Find the common denominator of q and 83/14.
28
What is the common denominator of 127/270 and (242/16)/(12978/824)?
1890
What is the common denominator of (-2)/160*(-10)/24*-89 and 91/240?
960
Let j = -5 - -11. Let y be 7 - 9 - (1 - (-79414)/18). Let k = 4421 + y. Find the common denominator of k and j.
9
Let n = 74 - 51. Calculate the least common multiple of n and 9.
207
Suppose 0 = 6*d - 27 - 27. Suppose -2*q - a + 18 = -0*a, -2*a = -3*q + 13. What is the lowest common multiple of q and d?
63
Let o(r) be the second derivative of 0 - 7*r + 2*r**2 + 1/3*r**3. Calculate the smallest common multiple of 6 and o(0).
12
Let r = 152/5979 + -1582015/3354219. Let q = r - -1/561. Find the common denominator of q and (3/33)/((-2)/54).
99
Let r(d) = -7*d**3 - 3*d**2 + 3*d + 3. Let i be r(3). Let q = -9899/14 - -701. Calculate the common denominator of 872/40*(-10)/i and q.
714
Let w(r) = -r**3 - 12*r**2 + 14*r + 15. Let a be w(-13). Suppose -a*k - 104 = -4*u - 6*k, 3*u - 5*k - 38 = 0. Calculate the lowest common multiple of 6 and u.
42
Suppose 20*x = 15*x + 120. Suppose -4*s = 2*w - x, 4*s + 57 = 3*w + 3*s. Calculate the lowest common multiple of 1