 the common denominator of q and -71/567.
2268
Let q = -93031/12 + 7762. Find the common denominator of 13/11 and q.
132
Suppose 0 = 4*w + 12, 0 = 4*g - w + 3 - 18. Let t(q) = 2*q**2 - 3*q - 1. Let c be t(g). What is the lowest common multiple of (-6)/c - 7/(-4) and 34?
34
Let x(r) be the second derivative of -r**3/3 - 17*r**2 - 2*r - 48. What is the smallest common multiple of 12 and x(-23)?
12
Find the common denominator of 73/18 and 1842/3663 - (-5 - (-159)/33).
666
Let g(o) = 9*o**2 + 113*o - 8. Let u(w) = -w**2 + 6*w + 147. Let k be u(-10). Calculate the lowest common multiple of g(k) and (-82)/(-6) + 1/3.
308
Let u = -2/6389 + -721917/127780. Calculate the common denominator of u and 6 - 40/1728*8253/30.
720
Let t = 1 + 21. Suppose 102 = 8*f + t. Suppose 2*j - 2*a - 59 = -21, 5*j + 3*a = 119. What is the smallest common multiple of f and j?
110
Let m be -4 - (5792/(-1930) - 1). Let t = m + -12556/10615. Let i = 22801/8 - 2839. What is the common denominator of t and i?
88
Let s(g) = -131*g + 5353. What is the lowest common multiple of s(34) and 377?
11687
Let x = -83551/36 - -2325. Let c = -1608478/81 + 19858. Find the common denominator of x and c.
324
Let b be -25 + 24 - (-5 - -1). Suppose -2*y - 2 = 3*y - 3*g, -2*y + 5*g = -b. Find the common denominator of -33/2 and (-1 + y)/(748/(-275)).
34
Calculate the least common multiple of (-5)/(20/112 + 27/(-63)) and 1394.
13940
Let i = 21365 + -21305. Calculate the lowest common multiple of i and (-4)/3*18/(-12).
60
Suppose -20*w + 1403 - 143 = 0. What is the least common multiple of 414 and w?
2898
Let g = 6538/3 + -2203. Let b be 9 + -11 + 7 + 16622/84. Let m = -1594/7 + b. Calculate the common denominator of g and m.
6
Let i be ((-408)/(-119))/((-12)/(-56)). Suppose 3*y = -3*t, -3*y = -3*t - 2*y + i. What is the lowest common multiple of -20*(1 + (-11)/5) and t?
24
Suppose -4*m + 16 = 0, -2*t + 291 + 189 = 3*m. Find the common denominator of -103/114 and 1843/t - (-70)/(-455).
342
Suppose 5*o - 60 = -t, o + 3*o + 2*t - 48 = 0. Suppose -o = -4*w - 8. Find the common denominator of -89/42 and (4 + 71)*w/(-14).
42
Let m(h) = 3*h + 60. Let u = 120 + -120. What is the least common multiple of 15 and m(u)?
60
Let s(r) be the second derivative of -r**3/2 + 63*r**2/2 - 119*r. What is the smallest common multiple of (0 + -1)/((-2)/10) and s(18)?
45
Let f(v) = 3*v - 90. Let p be f(16). Suppose 54 + 50 = -4*w. Let u = w - p. What is the least common multiple of 20 and u?
80
Suppose 10 = -2*k + 48. Suppose k*i - 6 = 21*i. Calculate the common denominator of -21/4 and i - ((-101)/6 + -1).
12
Find the common denominator of -85/516 and (-1519)/(-174) - 0 - (-6 + 24 + -10).
14964
Suppose 3*i - 1 = 5. Suppose i*o = -0*o - 2. Calculate the common denominator of 177/(-3)*o/8 + 2 and -101/22.
88
Let i = 26330371/921974274 - 1/478699. Find the common denominator of i and -119/30.
9630
Let d(l) = -l**2 - 6*l + 6. Let i be d(-8). Find the common denominator of 1/(i/4) + (-33)/180 and 137/30.
60
Let r(q) = 3*q**2 - 3*q - 3. Let z be r(-1). Suppose 10*p = z*p + 308. What is the smallest common multiple of 20 and p?
220
Let r = -103264 + 57208213/554. Calculate the common denominator of r and -1/9.
4986
Let l = 7 + -4. Calculate the least common multiple of l and 6/63 + (-285)/(-315).
3
Let v = 22659374/4803435 + 404/16065. Let s be 16/115*(-35)/2. Let y = s + v. Find the common denominator of -8/7 and y.
91
What is the common denominator of 1535/1842*(-246)/100 and -113/10130?
20260
Suppose -22*r + 36*r = 140. Find the common denominator of 3 - (-3 + r) - (-214)/12 and 81/10.
30
Let n = -322417/25 - -12895. Let a = 16110/19 - 724456/855. Calculate the common denominator of n and a.
225
Suppose -2*v + 185 = 4*s - 127, s = 2*v - 317. Calculate the smallest common multiple of v and 1.
158
Let a = 1239 + -1227. Suppose -4*r + 2*r = -88. What is the lowest common multiple of r and a?
132
Let f(j) = 6*j - 7*j**2 + 1 - 3 + 0 + j**3 + j**2. Calculate the smallest common multiple of (-3)/5*(10 + 68/(-4) + -8) and f(5).
9
Suppose 0 = -7*g + 9*g - 5422. Suppose g + 515 = n. Let c = n + -48409/15. What is the common denominator of -26/27 and c?
135
Let c = 492 + -397. Suppose -14*q + 73 + c = 0. Suppose 4*t - 19 - 17 = 0. Calculate the smallest common multiple of q and t.
36
Let b be -3 + 5 + 6 - 30. Let f = 17 - b. What is the smallest common multiple of f and 78?
78
Suppose -5*u - 35 = -5*b, 3*b - 38 = u - 9. Calculate the least common multiple of 1317 and b.
14487
What is the common denominator of -1/36 and 3*(158/11168)/(-7 - (-37)/4)?
12564
Suppose 16*f + 12*f = 56. Calculate the common denominator of -62/105 and (1/f)/((-36)/(-104)).
315
Suppose 2*z - 406 = o, 3*o - z + 73 + 1170 = 0. Let n = 2404 + -2390. What is the smallest common multiple of n and 14/35 + o/(-10)?
42
Suppose 0 = 4*z - 5*t - 84 + 28, -3*z = 4*t - 11. Suppose 3*r - 5*u - 76 = -z, -60 = -5*r - 2*u. Calculate the least common multiple of 4 and r.
28
What is the smallest common multiple of 57/45*3 - 384/(-320) and 2145?
2145
Let y(z) = -5*z**2 - 206*z + 32. What is the least common multiple of 192 and y(-22)?
12864
Let s(o) = o**2 - 6*o - 16. Let j(l) = l**3 + 35*l**2 + 31*l - 107. Let q be j(-34). What is the least common multiple of s(q) and 104?
312
Let b = 373 - 352. Let k(l) = -4*l - 5. What is the smallest common multiple of k(-8) and 10/((-280)/b)*-4?
27
Let r(w) = 3*w + 17. Let a(f) = -3*f - 16. Let l(d) = 5*a(d) + 4*r(d). Let o = -207 - -201. What is the smallest common multiple of 154 and l(o)?
462
Let a = 73 + -71. Let t(u) = -1 + a*u - 1 - 26. What is the lowest common multiple of t(16) and 7?
28
Let z(r) = -2*r**2 + r + 36. Let m be z(0). Let q be 3/(m/(-10))*(-18)/8. Let t = 35/8 - q. What is the common denominator of t and -1/7?
14
Let a = 4719 - 6677. What is the lowest common multiple of 4/18 + a/(-99) and 11?
220
Suppose -96*x = -93*x + 5*d - 830, -575 = -2*x + d. Calculate the least common multiple of x and 12.
1140
Suppose -45*f = -46*f - 74. Suppose 3*g = 4*g + 52. Let k = g - f. Calculate the least common multiple of 5 and k.
110
Let l = -3900280/17 - -98404067171/428910. Calculate the common denominator of -71/2 and l.
25230
Let f = 3590744 - -2829233. Let t = 6143919379/957 - f. Let h = t - -2/957. Find the common denominator of h and 63/8.
88
Calculate the common denominator of 4 - (-20604)/(-1512) - -11 and -67/42.
126
What is the common denominator of (-1116078)/(-390789) - 2 - 30/35 and 49/11?
204699
Let l(k) = -k**3 - k**2 + 10*k + 229. What is the least common multiple of l(0) and 4?
916
Let s(q) = -34*q**2 + 8*q - 2. Let l(u) = -23*u**2 + 5*u - 1. Let a = -55 - -47. Let f(g) = a*l(g) + 5*s(g). What is the least common multiple of f(-2) and 22?
594
Let u = 39 + -40. Let z be (-14)/(u/(-4)*-2). Suppose -3*y - 9 + z = n, -n - 1 = -y. Calculate the smallest common multiple of y and 2.
10
Let d be ((-128)/48)/(4/(-318)). Let p = d - 199. What is the smallest common multiple of p and 21?
273
Calculate the smallest common multiple of 63 and ((-3757)/(-51) - (-2 + 9))*(-2 + 29).
12600
Suppose 4*z + 268 + 3293 = -3*c, 5*z = 0. Let n = c - -3629/3. What is the common denominator of 74/21 and n?
21
Let c = -77 + 84. Let z = c + 17. Suppose 2*j + z = 5*j + 4*t, 5*t - 40 = -5*j. Calculate the least common multiple of 7 and j.
56
What is the common denominator of 5809/(-50024)*(-12)/(-27) and 31/1014?
3042
Let q = 216 - -1648. Let b = -16795/9 + q. What is the common denominator of -2 - (-1 + 170/(-8)) and b?
36
Let v = -72 - -81. Calculate the common denominator of (-39)/(-5)*(v + (-470)/55) and -40/101.
1111
Let k = 6717 + -6711. What is the smallest common multiple of 104 and k?
312
Let n(y) = -y**3 - 17*y**2 - 36*y - 32. Let x(z) = -z**3 + 22*z**2 - z + 32. What is the least common multiple of x(22) and n(-15)?
290
Let j(i) = 6*i**2 - 12*i + 2. Let m be j(-6). Let l = m + -271. Calculate the common denominator of 71/52 and l.
52
Let y(l) = -l**3 - 6*l**2 + 282*l + 2580. What is the smallest common multiple of y(-10) and 1152?
5760
Let y = 22 - 26. Let l be ((-8)/y)/(-1) + 360*10. Let n = 28743/8 - l. Find the common denominator of -17/22 and n.
88
Find the common denominator of -3 + (-2762)/(-956) + -5 + (-30)/(-6) and -23/3.
1