 39/314 + a. Find the common denominator of 3 and n.
202
Let b = 559/3 + -188. Suppose -21*n = -8*n + 273. What is the common denominator of b and ((-162)/n)/2 - 2?
21
Suppose s - 8460 = -70*s - 117*s. What is the smallest common multiple of 420 and s?
1260
Calculate the common denominator of ((-102)/(-85) - (-1040)/75)/(8/10) and (-427)/(-830) + (-2)/5.
498
Suppose 454583 + 76627 = 82*i - 256154. Calculate the lowest common multiple of 20 and i.
96020
Let z = -12946193/88 - -147111. Let m = z + -111/22. Find the common denominator of m and (1 - (-54)/(-52))*29.
104
Let r(n) = n**2 - n + 3. Let y be r(0). Let b = -2787 + 2915. Calculate the smallest common multiple of b and (-14)/(-42) + 65/y.
1408
Suppose -v = -1 - 2. Suppose -5*y + 29 = -3*p, -6*p + 11 = 5*y - v*p. What is the lowest common multiple of ((-1595)/203)/(45/(-252)) and y?
44
Let a = 273 - 270. Suppose -20 + 11 = -a*v. What is the least common multiple of 9 and v?
9
Calculate the least common multiple of 1785 and -5 - (2*((-224)/(-7))/(-4) - -2).
5355
Let n be ((-13)/(-16))/(3 + 27345/(-9114)). Let t = 2464 + n. Calculate the common denominator of (177/150)/(4/(-10)) and t.
40
Let p = 1549 + -1453. What is the smallest common multiple of p and 192?
192
Let x(q) = q**2 + 3*q - 4. Let v be x(-3). Let t be -229 - 2/(12/v + 4). What is the common denominator of 87/4 and -3*(6/18)/((-144)/t)?
48
Suppose 52326 = 812*l - 489*l. What is the lowest common multiple of 152 and l?
12312
Suppose 2*m = -3*i, 0 = -2*m - 2*i + 3*i + 8. Let r be 2/(6/m) + 1152/(-15). Let g = r - -1171/15. What is the common denominator of 73/27 and g?
135
Let d = 326 - 320. Suppose -23*j + 102 = -d*j. What is the lowest common multiple of j and 6?
6
Suppose -110*k = -122*k + 276. Suppose -7*i = -19 - 23. What is the lowest common multiple of i and k?
138
Let n(v) = -6*v**3 + 2*v**2 - v. Let o be n(1). Let p(s) = -11*s + 5 + 30*s - 13*s + 41. What is the lowest common multiple of 18 and p(o)?
144
Let z = -16 - -13. Let f be (2 + z)/(-1) - 1. Suppose 2*g = -f*g + r - 92, 4*r = -g - 55. Find the common denominator of -49/5 and g.
5
Suppose -16*a + 8109 - 7917 = 0. Calculate the least common multiple of (2 + 1 + 0)*3 and a.
36
Let w = -65501/10 - -6556. Calculate the common denominator of 59/(-2)*(-17)/((-510)/(-20)) and w.
30
Let b be (-2546)/(-34) + (-70)/(-595). Suppose -11*i - 9 = -b. What is the smallest common multiple of i and 64?
192
Let y = 5732 + -5731. What is the lowest common multiple of 13 and y?
13
Suppose 4*p = -10554 - 9862. Calculate the common denominator of 101/32 and (6873/p)/((-6)/(-8)).
352
Let s = 15831 + -14648. What is the lowest common multiple of s and 845?
5915
Let a(k) = 3*k**2 + k**3 + 33*k + 4*k**2 - 25*k**2 - 11. Let d be a(16). What is the common denominator of 367/40 + d*1/25 and 29/6?
24
Let d = 504 - 498. Calculate the least common multiple of 176 and 3*(-5 + 1)*(d - 7).
528
Let m = 4266 + -4231. Calculate the smallest common multiple of m and 254/10 + (-18)/45.
175
Suppose 8*t = -20 + 76. Let q = 20 - t. Suppose 15*y - q*y = 58. Calculate the least common multiple of 10 and y.
290
Suppose 2*t - 2 = -4. Let x be (t + (-369)/(-3))*(-2)/4. Let d = x - -73. Calculate the smallest common multiple of d and 10.
60
Let h(u) = -u**3 - 19*u**2 - 27*u + 57. Calculate the lowest common multiple of h(-19) and 228.
1140
Let d = 16047/5 + -3216. Find the common denominator of 67/192 and d.
960
Let k(j) = -19 + 3*j - 4*j**2 + 21 + 8*j**2. Let f be k(3). Let d = f - 41. What is the least common multiple of 11 and d?
66
Calculate the common denominator of (-12)/54 - 491/(-2493) and (177/8)/(31/(1116/(-81))).
1662
What is the common denominator of (-4)/((-23936)/740) - (-372)/682 and -115/102?
408
Suppose 4*c - 2*l - 31 = 35, -c - 6 = 4*l. What is the smallest common multiple of (-7)/c + (-596)/(-8) + -2 and 40?
360
What is the least common multiple of 2125 and -3 + 0 - (8 + (-3841 - -7) - 2)?
19125
Let w = 1861/13 - 707063/4940. What is the common denominator of w and (2 - 1) + (-20)/(-18)?
3420
Let d = -70644 - -9183631/130. Find the common denominator of 8/2275 and d.
4550
Let j(s) = 2*s - 67. Let w(u) = 8*u - 200. Let i(x) = 16*j(x) - 5*w(x). What is the smallest common multiple of i(-12) and (5 + -4 - -22) + 4?
216
Let p be 3059/8 - 1 - (-2)/(-1). Let z = p - 377. What is the common denominator of z and -49/10?
40
Suppose 15*m - 16*m - 4931 = 5*k, 4951 = -5*k + 4*m. Calculate the smallest common multiple of 66 and (3 - 85/30) + k/(-18).
330
What is the least common multiple of (-3)/(-9) - (-761)/3 and (-62)/(-2) - (-4730)/(-215)?
2286
Let y = 27331/84 + -2326/7. Find the common denominator of 71/204 and y.
204
Let i = -140438/55825 + 3946/957. Let n = -2/175 - i. Calculate the common denominator of (93/12)/(135/18) - -2 and n.
210
Let m = 2267 + -1721. Calculate the lowest common multiple of m and 70.
2730
Let k = -1689201/655340 - -1595/604. Calculate the common denominator of -67/248 and k.
8680
Let n be 25/(-5) - ((-7639)/364 - 4). Let b = n + -212/13. What is the common denominator of -48/35 and b?
140
Suppose 1560 + 967 = 109*z - 307. Let h = 345 + -230. Suppose -x + 5*a + h = 4*x, 0 = 5*a + 15. What is the least common multiple of z and x?
260
Suppose -12927 = -7*a - 12297. What is the lowest common multiple of a and 522?
2610
Calculate the least common multiple of (3912/(-168) + 25)*2058 and 4410.
17640
Suppose -4*w + 88 = -2*m, 3*w - 96 = -w - 2*m. Let y(b) = 3*b - 63. What is the lowest common multiple of y(w) and 14?
42
What is the smallest common multiple of 31 and -1*3680/(-23) + (8 - 1)?
5177
Let x(l) be the third derivative of l**5/30 + 7*l**4/3 + 10*l**3 - 135*l**2. What is the least common multiple of 19 and x(-27)?
114
Let c = 1997/58 - -89/29. What is the common denominator of c and (12/16)/(10/72)?
10
Let i be ((-672)/(-18) + -4)*(-10548)/(-10). Let f be (-61117)/i + 51/136. Let o = -1/293 + f. Find the common denominator of 13/24 and o.
120
Suppose 5*l - 940 - 813 = -3*x, 5 = l. Calculate the lowest common multiple of x and 432.
1728
Suppose -3*d + 6113 = -l, -5*d - 4*l = -9*d + 8132. Calculate the least common multiple of 170 and d.
2040
Let w = 92481/12196 + 4/9147. Let s = -5389 + 2247. Let f = 37619/12 + s. Calculate the common denominator of w and f.
12
Let v = -70/33 + 1721/495. Find the common denominator of v and -41/895.
8055
Let q(h) = -84*h - 2235. What is the least common multiple of q(-27) and 369?
4059
Let g be (24/16)/(3/(-64)). Let z be (-265200)/g - 2/4. Let q = -165693/20 + z. Find the common denominator of q and 97/20.
20
Suppose 10*a - 771 - 437 = -748. Let q = -155 - -249. Suppose 0 = 95*s - q*s - a. What is the least common multiple of 10 and s?
230
Calculate the least common multiple of (4 - 8)*(-3)/1 + -2 and 10.
10
Let u = -64983843/356 + 182539. Calculate the common denominator of u and 47/712.
712
Let o be ((-2)/13 - (-1497)/13) + 2. Let a = o - 67. Suppose 15 = -5*b, -5*h - 2*b + 63 = 2*b. Calculate the lowest common multiple of a and h.
150
Let u(c) = 0*c**3 + c**3 + 10 - 12 + 3*c. Calculate the least common multiple of u(2) and 12.
12
Let a(z) = z**2 + 35*z - 101. Let u be a(-29). Let g = u + 284. Calculate the smallest common multiple of g and 15.
45
Suppose -12*d + 3*k = -1782, 25*d + 2*k - 762 = 20*d. What is the lowest common multiple of d and 135?
1350
Suppose 2*g = -h + 808, 0 = 3*g - 9 - 3. Let b be 197180/h*-1*1. Let x = b - -2019/8. Find the common denominator of -62/9 and x.
90
Let z(f) = -13*f + 725. What is the smallest common multiple of z(53) and 90?
180
Let y = -3125 + 12323/4. Let k = -911/20 - y. Find the common denominator of -36/41 and k.
410
Let q = 4483/549 - -41/366. Let n = -322 - -350. Calculate the common denominator of 0 + n/(-6) - 3/24 and q.
72
What is the common denominator of 26/385*((-14)/(-150))/((-30)/150) and -16/3?
825
Let i = -189 - -464. Let y = -267 + i. What is the lowest common multiple of 8 and y?
8
Let i(q) be the third derivative of 11*q**5/60 - q**4/6 + q**3/2 - q**2 - 2*q. Calculate the least common multiple of i(3) and 8.
360
Let z = -13/691 - -5039/120925. Let k = -1439/36575 - z. Calculate the common denominator of 71/2 and k.
418
Suppose 21 = o - 2*k, -4*o = -10*k + 9*k - 63. What is the low