 -44*a - 14672 = -175*a. What is the least common multiple of 210 and a?
1680
Suppose 4*w = 2*r - 438, 2*w - 3*w = 1. Let q = r - 140. What is the smallest common multiple of 70 and q?
770
Let a = 271 + -100. Find the common denominator of (5 + (-122)/24)/(8/a) and -17/20.
160
Let z(l) = -l**3 + 9*l**2 + 6*l - 19. Let k(m) = m**2 - 7*m + 9. Let q be k(7). Calculate the lowest common multiple of 30 and z(q).
210
Let n = -485 - -1080. Suppose -n = -15*c - 235. What is the smallest common multiple of c and 3?
24
What is the common denominator of (186/27)/((-240)/18) and -2 + 27/12 - (-79)/(-140)?
420
Let x = -13698579717/166 + 82522624. Let o = x - 1060. Find the common denominator of o and (900/(-2160))/((-5)/(-154)).
498
Let u(p) = -p**3 + 2*p**2 + 9*p - 9. Let k(f) = f**2 + 4*f - 4. Let v(g) = 5*k(g) - 2*u(g). Let w = 18 - 17. What is the least common multiple of v(w) and 8?
24
Let x(b) = 7440*b + 44658. What is the smallest common multiple of x(-6) and 227/1 + 0 + 1?
684
Let v = 13360 + -12847. What is the least common multiple of 399 and v?
3591
Let v be 288/(-21) + (-32)/112. What is the common denominator of 91/18 and (v/(-4) + 0)*70/(-130)?
234
Let s be 4/12 - ((-3471)/9 - -2). Let p = -356 + s. What is the least common multiple of 104 and p?
728
Let s = -37 + 86. What is the lowest common multiple of (84/(-60))/(7/(-30)) and s?
294
What is the common denominator of (146/(-14))/(16*(-494)/(-208)) and 20/77?
2926
Let r be (-614616)/18*(-45)/(-6) + -5. Find the common denominator of -35/2 and r/43050 - (-12)/2.
410
What is the common denominator of 16/(471744/225)*-15 and -38/33?
12012
Suppose -473 = -3*o - a, 4*o + 4*a - 147 - 481 = 0. Suppose -838*z + 1084 = -1594 + 1002. What is the smallest common multiple of z and o?
158
Let q be (-703085)/(-7150)*1 - 3/(-5). Let l be (-4)/8 - (-2499)/(-26). Let m = l + q. What is the common denominator of 137/12 and m?
132
Let r = -1291360044205229891/3083326032338 + -2/53160793661. Let b = r - -418831. Let v = b - 1/29. Calculate the common denominator of 33/8 and v.
8
Let a(i) = 2*i**2 + 5*i - 48. Let v be a(5). Suppose 12 = -3*p, 0 = o - 2*p + v - 65. Let y = 82 - 58. What is the smallest common multiple of o and y?
120
Let r = -29 + 41. What is the smallest common multiple of (-2272)/(-426)*30/8 and r?
60
Let l be 2 + (16/(-4) - -1). Let t(s) = 132*s**2 - 7*s - 9. Calculate the least common multiple of 20 and t(l).
260
Let s = -1109/3 + 3263/9. Let f = 19572 + -313225/16. Find the common denominator of s and f.
144
Let q(u) = -u**2 - 38*u + 172. Calculate the smallest common multiple of 42 and q(-34).
924
Suppose 2*f - 190 = -2*b, 11*b = 16*b - 25. What is the smallest common multiple of f and 60?
180
Let d = -28433/14 + 2033. Let w = d - 3. Let c = 10135/6 + -1683. Find the common denominator of w and c.
42
Suppose -5*m = -25*m + 40. Let t(u) = -8*u**m + 19 + 28*u**2 - 11*u**2 + 14*u - 8*u**2. What is the common denominator of t(-4) and -89/10?
10
Let l(v) = 10*v**2 - 3*v - 4. Let j be l(-1). Suppose j*z - 100 = 4*z. Calculate the smallest common multiple of z and 16.
80
Let d = 662090 + -6629133/10. Let b = d - -822. Calculate the common denominator of 13/((-13416)/(-215)) + (-1 - (-1)/5) and b.
120
Find the common denominator of ((-2)/(-54))/((-38690)/34185) and 89/18.
1314
Let g = 4018 - 2770. What is the lowest common multiple of 6 and g?
1248
Suppose -2*n + 3 + 5 = 0. Let q(g) = 2*g**2 - 5*g. Let p be q(4). Suppose 10*t - p = n*t. What is the least common multiple of t and 16?
16
Let y(p) = p**2 - 15*p - 3024. Calculate the smallest common multiple of 126 and y(-63).
1890
Find the common denominator of 97/24 and (8610/(-804))/(-35) + (-2 - (-28)/16).
1608
Let l(y) = -26*y - y**3 - 30*y**2 + 0*y**3 - 40*y**2 + 83*y**2 - 35*y**2 - 55. What is the least common multiple of l(-21) and 10?
50
Let r = 761/28 + -19791/728. Find the common denominator of -61/24 and r.
2184
Suppose 408 = -8*c + 14*c. Let i(h) = -h**3 + 9*h**2 + 25*h - 13. Calculate the smallest common multiple of i(11) and c.
340
Let w(s) = -s**3 - 7*s**2 - 5*s + 3. Let y be w(-7). Let p = -80 + y. Find the common denominator of 95/12 and (-52)/p + (-3)/9.
84
Let j = -100593 + 3319868/33. Let t = 6331/462 - j. What is the common denominator of t and 79/44?
308
Let k be 0 - (-5 - -3 - -24). Let h = 40 + k. Let n(w) = -w + 49. What is the lowest common multiple of n(28) and h?
126
Suppose -5*q - 5*t + 17 = -33, 3*t - 10 = -q. Calculate the common denominator of 107/154 and (-6790)/440 - 3*q/(-165).
308
Calculate the smallest common multiple of 216 and 78/(-6) + -53 + 1362.
1296
Suppose -48*f = -47*f - 729. Find the common denominator of -64/9 and 1 - (1629/f + -1).
81
Let r = -383192/39 - -9826. Let y = 11382/1921 + -50699089/8840442. Let s = y + r. Find the common denominator of s and 1/16.
944
Suppose 33*b = -267 - 525. Find the common denominator of -7/40 and (6/b)/((-276)/(-93) + -3).
40
Find the common denominator of (-15)/20 - (-19)/4 - (-31310)/(-6076) and -53/7.
98
Calculate the least common multiple of 32 and (0 - 2/(-6))*(-30294)/(-198).
1632
Find the common denominator of (21/22 + -1)*(219905/(-1260))/(-61) and 41/84.
5544
Let t(z) = -2*z**3 - 92*z**2 + 196*z + 342. What is the smallest common multiple of t(-48) and 3288?
82200
Let i = -19706 + 433481/22. Calculate the common denominator of i and -127/9084.
99924
Calculate the smallest common multiple of ((-2784)/(-40))/(87/145) and 60.
1740
Let u be 7124/3580 - (0 - -2). Let m = u - -69131/21480. What is the common denominator of -97/126 and m?
504
Let j = 1671223/15258516 - -1/42861. What is the common denominator of j and 71/1068?
1068
Suppose 0 = 3*p + 2*n + 146, -3*n + 179 = -4*p - 10. What is the common denominator of -97/4 and ((-56)/p + -1)*111/14?
28
Suppose 2105*l - 93 = -4*j + 2108*l, -5*l = 5*j - 160. Calculate the smallest common multiple of 54 and j.
54
Let j(a) = 2*a**3 - 127*a**2 + 70*a - 431. Let o(l) = -l**2 + 14*l + 18. Let m be o(15). What is the lowest common multiple of j(63) and 6/m - (-135)/3?
470
What is the common denominator of 2/35*((-408)/34 + (-22094)/(-1872)) and 17/52?
3276
Let q = -35 - -59. Calculate the least common multiple of ((-36)/20)/(6/(-20)) and q.
24
Let m = -50035/286 + 1880/11. Calculate the common denominator of 19/36 and m.
468
Let d = 167 - 119. Suppose -d = -4*c + 4*f, -18 = -2*c - 2*f + 7*f. What is the lowest common multiple of 6 and c?
42
Let v = -996 + 1106. What is the smallest common multiple of v and 10?
110
Let y = -48171/7 - -2889497/420. What is the common denominator of y and -1 + (15 + -14)*(190/(-132))/(-1)?
660
Let j(c) = c**2 + 34*c + 505. Calculate the lowest common multiple of j(-37) and 9.
5544
Suppose 110 = -19*t - 3*t. Calculate the common denominator of 342/(-266) - 1/t and -167/30.
210
Let i = 75 + -223/3. Calculate the common denominator of 2058/252 - 2/16*2 and i.
12
Let l(b) be the third derivative of -b**5/60 + 5*b**4/24 + 12*b**3 - 70*b**2. Calculate the lowest common multiple of 782 and l(11).
2346
Let l = 103881076 - 2285878745/22. Let w = l + 22508. Calculate the common denominator of -59/15 and w.
330
What is the common denominator of (-2126)/648 + (-13 - -16) and -125/342?
6156
Let z be 3/24 - 72399/(-193800). Let f = z - 6/323. What is the common denominator of 47/85 and f?
425
Suppose 18*k = -14*k + 2144. Suppose 648 = -61*x + k*x. Calculate the smallest common multiple of x and 36.
108
Let q(y) = -59*y**3 + 2*y**2 + 127*y + 126. Calculate the smallest common multiple of q(-1) and 615.
2460
Let a be 80/976*24/(-10). Let r = -4111/122 - a. Calculate the common denominator of 2 + (-3 - (-130)/(-125)) and r.
50
Let q = -167867/16 - -10498. Calculate the common denominator of ((-267)/(-48) - 2)*(13 + -9) and q.
16
Let q = 27506 + -137577/5. Find the common denominator of q and 20/1587.
7935
Let u(o) = -12*o**3 + 196*o**2 - 7*o + 6. What is the smallest common multiple of 918 and u(16)?
918
Let k(l) = -3*l - 1. Let p(y) = y**3 - 6*y**2 - 5*y - 15. Let f be p(7). Calculate the least common multiple of k(-18) and (1 + -7)/f*(0 + 1).
318
Let t = -519 - -2058. Suppose -20*i + 39*i = t. What is the smallest common multiple of 30 and i?
810
Suppose 5*b + 12 = q, -2*q - q - 3*b + 90 = 0. Let o be ((-2