
6
Let q = 12777/10 + -1282. Let j be (-1340381)/140 + 1/5. Let m = j - -9578. Find the common denominator of q and m.
20
Let n = 5717/228 - 153003/7676. Let d = n - -5/202. Find the common denominator of d and 9/38.
114
Calculate the smallest common multiple of ((-13)/(-2))/((-14)/(-168)) and 30.
390
Let m be 147/(-76) + 2/(-5). Let c = 4/7125 + 26246/7125. Let v = c + m. What is the common denominator of -71/20 and v?
20
Suppose -4*a = -3*r + 3, 20 = r + 3*a + 2*a. Let i be (-104751)/10 - 0/r. Let h = i - -10486. What is the common denominator of -15/4 and h?
20
Suppose 146*d - 151*d + 270 = 0. Calculate the smallest common multiple of 258 and d.
2322
Let f(m) be the second derivative of m**3/3 + m**2 + 13*m. Calculate the smallest common multiple of f(8) and 30.
90
Calculate the common denominator of 352/33*(-3)/(-9) and 8*2*5/(-95).
171
Let r = -2/613 + 14746/10421. Let j = r - 157/51. What is the common denominator of j and -22/23?
69
Let o be -1 + -2 + 4 - -10620. Let p = o - 106321/10. Calculate the common denominator of 33/8 and p.
40
Suppose 0 = -6*b - 84 - 42. Let g = b - -37. What is the smallest common multiple of g and 20?
80
What is the lowest common multiple of 6 and 6*4*(-1855)/(-168)?
1590
Find the common denominator of (-533)/26*6/10 and 73/50.
50
Let n be 4/(-10) - (-142)/5. Let r be ((-12)/4 + 5)*4. Let s = n - r. What is the smallest common multiple of s and 16?
80
Let x = -103 + 1135/11. Let h = -96746/15 + 6452. Calculate the common denominator of x and h.
165
Let l = -2154 - -10828/5. Find the common denominator of l and -44/27.
135
Let k(u) = u**2 + 2*u + 1. Let s be k(-5). Let c = 21 - s. Suppose 3*i = 2*i + 1. What is the lowest common multiple of c and i?
5
Suppose -z - 4*h = -28, 2*h + 58 = z + 3*z. Let x(p) = 19*p + 1. Let a(n) = -n. Let f(k) = -4*a(k) + x(k). Calculate the smallest common multiple of z and f(1).
48
Let j = -892 - -283. Let o = 3643/6 + j. Find the common denominator of o and 62/15.
30
Suppose -n = d - 13, -3*d + 27 = -0*d - n. Calculate the lowest common multiple of d and (-8)/20 - (-84)/10.
40
Let r = 33 - 5. Let s(x) = 38*x - 172. Calculate the least common multiple of s(5) and r.
252
Suppose 5*f + 2*a - 6*a - 67 = 0, -3*f - 2*a = -49. Suppose -f + 79 = 4*b. Suppose 5*o + 11 - 121 = 0. What is the least common multiple of o and b?
176
Let t = 12/179 + 774/4475. Find the common denominator of 79/40 and t.
200
Let x = 4/4559 - 269077/109416. Find the common denominator of 89/2 and x.
24
Let j(z) = -10*z + 118. Calculate the smallest common multiple of j(9) and 44.
308
Let r = -483 - -5344/11. What is the common denominator of r and -59/63?
693
Let m = 645 + -547. Calculate the least common multiple of 42 and m.
294
Let f be 16552091/(-2157610) - (-2)/(-5). Let d = f - -2/30823. Calculate the common denominator of 23/4 and d.
28
Let h = 619 - 618. Let f(b) = b**3 - 7*b**2 + 6*b + 5. Let j be f(6). Suppose n + j*r = -23, 2*n + 21 = -4*r - r. What is the lowest common multiple of h and n?
2
Let x = 313711/126 - 17386/7. What is the common denominator of x and 67/24?
72
Suppose -2*s - 399 = -3*o, 7*s = 3*s. Let h = o - 29. Let l = h + -2289/22. Calculate the common denominator of 93/22 and l.
22
Let n = -2033 - -4207. Let r = n - 19492/9. Calculate the common denominator of 36/55*(-2 - 22/4) and r.
99
Suppose 4*k = 3*y - 10321, 6*k - 2*k + y + 10341 = 0. What is the common denominator of (1/4)/(119/k) and -109/14?
14
Let y(i) = i + 709. Let v be y(0). Let r = -3533/5 + v. What is the common denominator of r and -22/5?
5
Suppose -2*y = -y - 4. Let r be (1 + -1)*13/(-26). What is the smallest common multiple of 144/12*(1 - r)/2 and y?
12
Find the common denominator of -37/5 and -2 + -2 - ((-8044)/656 - -8).
820
Let v = -13 + 25. Suppose 5*k + 5 = 2*y - 19, -y = -k - 6. Suppose -y*u = -8*u + 228. Calculate the smallest common multiple of v and u.
228
Let p = -37 + 25. Calculate the common denominator of 62/33 and (-166)/72*p/8.
264
Suppose 9 = 3*v - 2*s, -2*s + 7*s = -5*v + 15. Suppose 0*j + 33 = v*j. What is the smallest common multiple of 3 and j?
33
Let n be (-1 - 3/(-4))/(234/19854). Let u be (2 - 323)/(39/(-2)). Let j = u + n. What is the common denominator of j and -39/11?
44
Let z be 29/(-2)*(-4 - -8). Let o = -40 - z. Calculate the smallest common multiple of o and -2*-4*2*2.
288
Suppose -5*x + 259 = -311. Let r = 197 - x. Calculate the lowest common multiple of 2 and r.
166
What is the common denominator of -37/12 and ((-261)/420)/((-45)/(-15))?
420
Let b = 415 - 391. Calculate the lowest common multiple of 20 and b.
120
Let y = 3022 + -45409/15. What is the common denominator of y and 38/45?
45
Let a = 8947/590 - 228/59. Let n(c) = -c**3 - 12*c**2 + 21*c + 8. Let r be n(-16). Find the common denominator of a and (-6)/54 - r/297.
110
Let f(l) = l**3 - 2*l**2 + l + 4. Calculate the smallest common multiple of 2*14 + (-18)/(-18) + 5 and f(3).
272
Let c(m) = -11*m - 1. Let f(r) = -1. Let b(p) = c(p) - 6*f(p). Let w be b(11). Find the common denominator of w/12 + 9/(-6) and 11/48.
48
Let u(b) = -b**2 - 28*b - 94. Suppose 0 = -a + 44 + 11. Suppose 0 = 3*f, t - f + a = 6*t. Calculate the least common multiple of u(-24) and t.
22
Let y(r) = -r**3 + 9*r**2 + 11*r - 1. Let x(f) = 2*f**2 - 9*f + 13. Calculate the smallest common multiple of x(4) and y(10).
9
Let c = -145 - -275/2. Let j = -54/83 - -3317/1909. Let t = -541/138 + j. What is the common denominator of c and t?
6
Suppose -19*v - 40 = -420. Let i(n) = n**2 + 2. Let m be i(0). Suppose t - m = 2. Calculate the least common multiple of t and v.
20
Let g = -53457 - -1924585/36. Find the common denominator of -77/90 and g.
180
Let r = -20765 + 373865/18. What is the common denominator of 61/536 and r?
4824
Let o = 79799/4128 + 3/1376. What is the common denominator of -79/255 and o?
255
Let o(i) = -i**2 - 7*i - 7. Let q be o(-3). Suppose -9*a + 40 = -q*a. Calculate the lowest common multiple of a and 14.
70
Suppose 0*x - 64 = -4*x. Let l = 586 + -384. Calculate the least common multiple of l and x.
1616
Let z = -755435/9 - -513521/6. Let m = z - 1647. Let w = 911 + -1763/2. What is the common denominator of w and m?
18
Let n = -221/45 - 28/15. Find the common denominator of n and 3 - 1 - (-122)/(-15).
45
Let l be ((-30)/24864)/((-33)/207132). Let i be (6/592)/(11/2). Let r = i - l. Find the common denominator of r and -35/11.
77
Let g(l) be the third derivative of -23*l**4/12 + 3*l**3/2 + 11*l**2. Let k be g(-4). Find the common denominator of 1/(-4) + k/(-12) and 57/7.
21
What is the least common multiple of (-144613)/(-876) + 2/(-24) and 12?
660
Let y = -17255 - -17257. Let s(d) = 5*d - 1. Calculate the least common multiple of s(7) and y.
34
What is the common denominator of -2 + 9 + (-8 - 798/196) and 29/748?
5236
Suppose 6*x + 0*x + 30 = 0. Let p(c) = c**3 + 4*c**2 - 6*c + 5. Calculate the lowest common multiple of p(x) and 21.
210
Let d be 1 + 2 + -2 + 5. Suppose 0 = -5*t + 36 + 14. Let s = t - d. Calculate the lowest common multiple of s and 20.
20
Suppose -4*f + 136 = -5*t + 491, 5*t + 4*f - 395 = 0. What is the lowest common multiple of 3 and t?
75
Find the common denominator of -79/12 and 9 + 9207/(-828) - (-6)/8.
276
What is the least common multiple of (-360)/(-26) + (-4)/(-26) and 39/3 - (-7 - -4)?
112
Let q(z) = z**2 - 4*z. Let w be q(4). Suppose -2*u + 3*t + 23 = -w*t, 7 = 3*u + t. Let n = 2 + 5. What is the lowest common multiple of u and n?
28
Suppose -152 = -2*j + 3*r - 4*r, 0 = -2*j + 3*r + 152. Calculate the lowest common multiple of 12 and j.
228
Suppose -168 = -3*t - 12*i + 14*i, 0 = -4*t - 5*i + 201. What is the lowest common multiple of 48 and t?
432
Calculate the least common multiple of ((-144)/(-90))/((-2)/(-5)) and 66.
132
Let k = 450463/61710 - -2/6171. Calculate the common denominator of 23/16 and k.
80
Let b(g) = 4*g**2 + 21*g + 31. Suppose -3*i + i = -4. What is the lowest common multiple of b(-4) and i?
22
Suppose 39*z + 1710 = 33*z. What is the common denominator of 33/80 and (-26)/3*z/(-304)?
80
Let p(x) = -x + 3. Let o be p(10). Suppose -3*f + 17 + 4 = 0. What is the lowest common multiple of f and 0 - (o - (6 + -4))?
63
Let z = 8 - -1. Let m = -1 + z. Let w(g) = 2*g**3 - 47*g**2 - 24*g + 22. What is the lea