ppose -10*l = -l + 6750. Let c = l - -6728/9. What is the common denominator of 61/15 and c?
45
Let w = 136487/6 - 22768. Find the common denominator of 2 - (3 - (-89)/(-12)) and w.
12
Let k = -454 - -19049/42. Let m(w) = -w + 36. Let a be m(0). Calculate the common denominator of k and ((-5)/(-25))/(a/3630).
42
Let d(s) be the third derivative of s**6/120 - s**5/15 - s**4/12 + 3*s**3 - 5*s**2. Suppose 95*u - 36*u = 295. What is the lowest common multiple of d(u) and 6?
66
Let w = -12034/5 + 48227/20. Find the common denominator of w and -59/2562.
25620
What is the common denominator of -22/171 and 1872/6480*(-4)/38*-3?
855
Let w = -2608 - -2941. Calculate the smallest common multiple of w and 6.
666
Let m = 3123 - 3035. Calculate the least common multiple of 1628 and m.
3256
Let o = 668 + -173. What is the smallest common multiple of o and 605?
5445
What is the common denominator of 2/(-26)*(-615)/315 and -85/429?
3003
Let u(p) = -6*p - 3. Let t be u(2). Let g = 51/4 + t. What is the common denominator of g and (840/(-54))/(-7) + -2?
36
Let n = -10 + 9. Let s be 3/(-4) + n*278/(-8). Suppose s = 2*v + 2. Calculate the lowest common multiple of 14 and v.
112
Suppose 0 = 4*u - 103 - 81. Suppose 0 = 2*n + u - 14. Let g = 21 + n. Calculate the smallest common multiple of g and 8.
40
Let b = -570405/28 - -20374. What is the common denominator of b and -63/416?
2912
Let v(m) = m**3 - m**2 - 10*m - 6. Let j be v(-6). Find the common denominator of (1/3)/(80/(-824)) and ((-4)/j)/(3/(-261)).
330
Suppose 1111 - 313 = 57*r. What is the lowest common multiple of r and 401?
5614
Find the common denominator of -37/126 and 34143/(-2926) + 44*(-6)/(-24).
1386
Suppose -90 = -2*t + 3*x, -205 = -3*t - 4*x - 53. Suppose t = 3*c + c. What is the lowest common multiple of 78 and c?
156
Suppose 0 = 4*k + 4*d - 156, 106 = 3*k - 3*d + 19. Let o = 42 - k. Calculate the common denominator of ((-5)/15)/(o/1212) and -55/6.
6
Suppose w - 42931 = -5*y + 27378, 4*y - 56246 = -2*w. Suppose -5*u - y - 6548 = 0. Let f = 33059/8 + u. Find the common denominator of 89/2 and f.
8
Let i = -32096 + 32102. What is the smallest common multiple of i and 4?
12
Find the common denominator of 1292/(-168) - 13/((-78)/24) and 145/78.
546
Let m be ((-120)/18 + 4)*18/8. Let f be m/21 - (-765)/399. Let b = f + -2447/114. Find the common denominator of b and 9/8.
24
Let o = 458 - 414. Suppose -16*j + 20*j - o = 0. Let q = -2 + 8. What is the smallest common multiple of q and j?
66
Suppose 0 = 5*d - s - 47, -2*s = d - 3*s - 7. Suppose d*h - 105 = 45. What is the smallest common multiple of -8*(-1 - h/(-20)) and 11?
22
Let k = -168121/30 - -5606. What is the common denominator of k and -77/5415?
10830
Suppose 0 = 4*w - 5*g + 264, 0 = -4*w + 3*w + 3*g - 66. What is the common denominator of (2/8)/(3/(-266)) and (1 - 3/w) + -3?
66
Let c = 203585/27 - 7539. Suppose g - 95 = 2*n - 0*g, -3*n + 4*g - 140 = 0. Calculate the common denominator of c and -2 + 0 - 604/n*2.
54
Let z = -5056 - -5074. What is the least common multiple of z and 1275?
7650
Suppose 69*x - 10207 = 23200 + 25588. What is the least common multiple of 45 and x?
855
Let y = -382397/40 - -9561. Calculate the common denominator of -97/1520 and y.
1520
Suppose 0 = -3*t - 5*y + 227, -5*t + 313 = 6*y - 7*y. Calculate the lowest common multiple of (24/(-18))/((-1)/36) and t.
192
Find the common denominator of ((-174)/4)/29 + 13794/8904 and 9/212.
1484
Let v = -17 - 10. Let z = -2882 - -43252/15. What is the common denominator of z and ((-12)/8)/(v/25)?
90
Let q(j) = 3*j + 3. Let c(w) = -15*w + 50. Let g(t) = c(t) + 6*q(t). Let z(u) = -4*u - 3. Let k be z(4). What is the lowest common multiple of 15 and g(k)?
165
Suppose -d + 0 = 2. Let w(g) = g + 5. What is the lowest common multiple of w(3) and (d - 2) + (-12)/(-1)?
8
Calculate the common denominator of (-58035)/(-19800) - 2/4*6 and -61/605.
14520
Suppose 13*q = 18*q + 2*t - 111438, -5*q - 3*t + 111447 = 0. What is the smallest common multiple of q and 2?
22284
Suppose 2*c - 40 = -3*c. What is the common denominator of (-85)/24 - 8/24 and 2 - (-85)/c - 1?
8
What is the lowest common multiple of 392 and (-18)/(-14) - 843568/(-1232)?
2744
Let g = -215 + 335/2. Let c = -2099683/420 + 35010/7. Find the common denominator of g and c.
60
Let u = 21127/9 + -2342. Let g = 14 - 13. Calculate the common denominator of u and 79*(1 + g)/12.
18
Suppose 5*w + 175 = 5*c, 24*w + 20 = 29*w. What is the smallest common multiple of c and (8/(-12))/(2/(-6)) - -2?
156
Suppose 3*b + 2*b = -5*u + 220, 0 = 5*b + 4*u - 221. Suppose -19*c = -4*c - b. Suppose -4 - 80 = c*l. Calculate the common denominator of l and -19.
1
Let a = 62 - 125. Find the common denominator of 58/3 and 2 + 4 + 285/a.
21
What is the least common multiple of (-31)/(186/24) + 18 and 1092?
1092
What is the common denominator of (1386/234 + -6)*(-3)/(-33) and 110/39 + (-6)/(-18)?
143
Let d be 2/(-2)*(-434 - (2 + -2)). Let m = d - 279. Find the common denominator of -1 + m/(-40) + -3 and -16/15.
120
Suppose 23*o = 20669 + 4171. What is the least common multiple of o and 2025?
16200
Let k = -9893/4 + 2478. What is the common denominator of k and 85/672?
672
Suppose 0*m = -3*o - 2*m + 684, 1144 = 5*o + 2*m. What is the least common multiple of 92 and o?
460
Let y(g) = -g**2 + 19*g - 45. Suppose 4*o - 18 = 3*b, 3*o - 5*b = -2*o + 20. Calculate the least common multiple of 12 and y(o).
132
Let q = 18 + -17. Suppose 0 = 2*f - 4*l - 2, 0 = 3*f - 4*l - l - q. Let p = f + 7. What is the lowest common multiple of p and 20?
20
Suppose -22*b + 6 = -21*b + 5*v, 0 = -b - 3*v + 8. Calculate the lowest common multiple of 539 and b.
539
Let c = -23/355 - -5063/13490. What is the common denominator of 18/(-63) - (-1598)/(-140) and c?
190
Let d be (-82)/(-15)*45/36*-245. Let z = -1692 - d. Calculate the common denominator of z and -28/15.
30
Suppose 5*w - 5*b + 121 - 296 = 0, -4*w = 4*b - 148. Calculate the smallest common multiple of 14*154/98 + -20 and w.
36
Let a be 4 + (-8848988)/1143180 - -5. Let m = -2/31755 + a. What is the common denominator of m and 62/15?
135
Suppose -2*s + 558 + 894 = 0. Calculate the common denominator of -47/16 and (-34)/4*(-11)/(s/36).
176
What is the smallest common multiple of 4 and ((-272)/20)/(((-105)/(-18) - 6)/15)?
1224
Let s(u) = u**2 - 209*u + 6224. Calculate the least common multiple of 64 and s(33).
832
Calculate the lowest common multiple of 22505/28*(-184)/(-115) and 4.
2572
Let l(t) = -t**2 - 23*t - 1. Let v be l(-23). Let k be ((-9)/7)/v - 30/105. Let j = k + 21. Calculate the smallest common multiple of j and 14.
154
Calculate the common denominator of 34 and (-4760)/(-29792)*(-221)/(-5) + -7.
532
Suppose -4*i - 2*j + 200 = 0, 5*i + 12 = j + 276. Let w = 55 - i. What is the lowest common multiple of -2 + 3 - (0 - w) and 18?
36
Let h = -34642/2781 + -913009753/22248. Let n = -41044 - h. Find the common denominator of n and -17/2.
24
Let o be ((-185115)/100)/(3/2). Let w = o + 1242. Let p = 2255 + -18097/8. What is the common denominator of w and p?
40
What is the common denominator of 65/36 and ((-33)/21 - -1) + 5 + (-123944)/28000?
4500
Let m be (-3 - 0) + (-83466)/(-11880). Let c = m + -131/132. Let u = 6421 + -102641/16. Find the common denominator of u and c.
240
Let y be (-585)/(-18)*(-3 - 1). What is the common denominator of ((-57)/(-342))/(1/y) and (-485)/(-2)*(-1)/(-20)?
24
Let r = 95579/10 - 9548. Let i = 113375/9 + -12593. What is the common denominator of r and i?
90
Let s(b) = -12*b**2 - 522*b - 234. Suppose 0 = -4*j + 16, -2*j - 24 = y + 60. Let k = -52 - y. What is the smallest common multiple of k and s(-43)?
120
Let p = 4201229065/5551368 + -1/231307. Let d = 108 + 649. Let t = d - p. Find the common denominator of t and -63/4.
24
Let a = 169 + -40. Let j = a + -94. Calculate the least common multiple of 20 and j.
140
Let t = -7/22 + 20/11. Calculate the common denominator of 18/16*36/(-783)*9785/(-285) and t.
58
Suppose -z + 3*r = -81, 369 - 428 = -z + r. Suppose c = 3*m - 61, -4*m + 4*c + c + 74 = 0. Calculate the smallest common multiple of z and m.
336
Suppose -104*v + 101*v = 3*r - 114, 2*v = r + 70. Calculate the smallest common multiple of 108 and v.
108
Let f(n) = 2*n**3 + 16*n**2 - n. Cal