 = 3*a - 63 - 2. Let o = m + q. What is the smallest common multiple of 14 and o?
56
What is the common denominator of 5928/(-352) + 16 + (-8)/(-22) and 119/40?
440
Calculate the common denominator of (50/12)/(40/18) and 63/148.
296
Let c(m) = 23*m**3 - 4*m**2 + 5*m - 6. Let l be c(4). Let d = 162585/16 - 10166. What is the common denominator of d and ((-6)/9)/(264/l)?
176
Let h(f) = -3*f**3 - 3*f**2 + f + 2. Let s be h(-2). Suppose 0*r - s = -2*r. What is the least common multiple of r and 6?
6
Let t = -610/17 + 7673/238. Calculate the common denominator of 87/8 and t.
56
Let u(s) = -s**3 + 9*s**2 + 8*s + 24. Let k = 138 + -134. Calculate the lowest common multiple of u(10) and k.
4
Let h be (3130/(-60))/(30/(-27)). Let a be (3/2)/((-12)/(-362)). Let j = a - h. Find the common denominator of -105/22 and j.
110
Suppose q = -26*q + 270. What is the smallest common multiple of q and 6?
30
Suppose v - 3*s = 1, -5*v = s + s - 22. Suppose 0 = 3*w - 35 - v. Suppose 2*k + w = -5*h, 6*k - 2*k = -3*h + 9. Calculate the least common multiple of k and 10.
30
Suppose 3*o - 133 = 47. Suppose -3*l + 2*l - o = 0. What is the least common multiple of (l/24)/((-2)/8) and 1?
10
Suppose 2*w - 355 = -3*n, 3*n - 94 + 589 = 3*w. What is the smallest common multiple of 10 and w?
170
Suppose 3*h + 0*w - 2*w + 31 = 0, 0 = -h + 5*w - 19. Calculate the common denominator of -89*((-9)/54 - 2/h) and 65/102.
306
Let c(t) = t**3 + 10*t**2 + 7*t - 13. Let n be c(-9). Suppose 3*o = n*x + 4*o - 113, 0 = 3*x - 5*o - 51. What is the smallest common multiple of x and 20?
220
Find the common denominator of 99/38 and (2/66)/(6/810).
418
Suppose 9*y + 42 = -21. Calculate the common denominator of (-646)/240 + (-1)/3 and ((172/(-20))/(2/5))/y.
280
Suppose -u - z = 3*z - 166, -5*u - 4*z = -814. What is the lowest common multiple of u and 45?
810
Suppose -1611 = -10*w - 171. What is the least common multiple of 15 and w?
720
What is the smallest common multiple of ((-360)/126)/((-6)/63) and 25?
150
Suppose -14*y = -15*y - 2*n + 65, 2*y - 2*n = 100. Calculate the lowest common multiple of 140 and y.
1540
Let x = 172 + -98. Let t = -72 + x. Calculate the smallest common multiple of 35 and t.
70
Suppose 0 = -5*b + 2099 + 186. Suppose 0 = -4*z - s + b, -z + 3*z = -s + 229. Suppose -5*m - z = -34. Calculate the common denominator of m and -32/3.
3
Suppose -3*y = -36 + 12. Let z = 84 + -76. What is the smallest common multiple of y and z?
8
Let l = -53 + 67. What is the lowest common multiple of l and 63?
126
Calculate the common denominator of 41/306 and -3 + (2 - 5) - (-14531)/2244.
612
Let b(g) = -60*g + 2 + 9*g**2 + 58*g - 3. Let o be b(-1). What is the common denominator of (-9)/(-15) + (-28)/o and 71/2?
10
Let k(i) = 6*i**3 - i. Let m be k(1). Find the common denominator of (-29)/m*(-3)/(-2) and (3 + (-66)/(-18))/((-28)/(-30)).
70
Find the common denominator of -103/6 and 306/85*(-140)/16736.
6276
Suppose -13 = 3*k - 4. Calculate the common denominator of -67/3 and (-3)/((-2970)/786) + k/(-5).
33
Calculate the lowest common multiple of 16 + (-10 - -3)*1 and (19 - -3)*2/4.
99
Suppose 5*q = 44 + 91. What is the lowest common multiple of (1 + (-8)/3)/(3/(-9)) and (8/12)/(2/q)?
45
Let l = -40 - -41. Suppose 3*z - 80 = -2*z. What is the lowest common multiple of z and (0 + 5)*l + -1?
16
Calculate the common denominator of 37/153 and 19/4845*366/(-4).
1530
Let o be 2 - (0 - (-1 - -19)). Calculate the common denominator of -9*(-1)/(-2) - 0 and 2 - -1*108/o.
10
Let y be (-1)/(-9) + (-15995)/(-4275). Let j = -15451/1520 + y. Calculate the common denominator of j and 107/6.
48
Let b = -913 - 3097. Let x be b/(-3)*10/6. Let u = x + -2222. Calculate the common denominator of u and -93/2.
18
Let k = 313 + -181. What is the least common multiple of 20 and k?
660
Let v = 35 - 34. What is the smallest common multiple of (-3*v)/(4 - 232/56) and 6?
42
Let f(j) = j**3 - j**2 - j + 102. Calculate the least common multiple of f(0) and 60.
1020
Let k = -4231/6 + 708. Let o = 4301 + -42949/10. What is the common denominator of k and o?
30
Let i(v) = 852*v**2 + 2*v + 2. Suppose -2 = p - 1. Let z be i(p). What is the common denominator of 1/3*z/(-8) and -7/12?
12
Calculate the common denominator of -51/77 and (-10)/(-60) - (-1675)/210.
77
Find the common denominator of (2 - 4) + 11/(-80)*-28 and 9/4.
20
Let u(t) = 0*t + 6 - 4*t + 6*t - 3*t. Calculate the smallest common multiple of 1 and u(0).
6
Let d = 29 - 13. Let b = 28 - d. What is the smallest common multiple of b/(-2)*6/(-4) and 13?
117
Suppose -4*l + 5*u - 54 = 0, -7 = 3*l + 3*u + 47. Let d = -13 - l. Suppose -d*q + 32 = q. What is the lowest common multiple of q and 4?
8
What is the common denominator of ((-10)/8)/((-55)/(-60)) - -2 and 36/17?
187
What is the common denominator of ((-8)/896)/(20/(-376)*1) and 4/7?
280
Suppose 0 = 5*a + 4*q - 256, -4*q = -5*a - 0*a + 224. Calculate the smallest common multiple of a and 10.
240
Suppose -5*r + 588 = 44*r. Calculate the smallest common multiple of r and 36.
36
Let h = 265 + -260. Calculate the least common multiple of h and 15.
15
Let b be (144/(-56))/((-3)/14). Suppose 0 = -4*n - 3*a + 8*a + b, -5*a - 6 = -2*n. Calculate the least common multiple of 3 and n.
3
Let f(k) = k**3 + 16*k**2 + 14*k - 17. Let x be f(-15). Find the common denominator of 61/8 - x/8 and -18.
8
Suppose 0 = 2*k - 10, -3*k - 65 - 30 = -5*w. Find the common denominator of w/154*(21 + 1) and -31/5.
35
Suppose -20*y + 267 = 147. What is the smallest common multiple of y and 478?
1434
What is the common denominator of (43/860)/((-2)/59) and -47/148?
1480
Calculate the lowest common multiple of 2 - ((-23)/((-115)/(-30)) + -57) and 130.
130
Let q be 0/(6/2 + 0). Let o(r) = -4*r + 18. What is the least common multiple of o(q) and 22?
198
Let l be 1 - (1 - 2 - 0). Suppose -l*z - 8 = -68. Let j = z - 4. What is the least common multiple of 6 and j?
78
Let o = 230 - 190. What is the lowest common multiple of 22 and o?
440
Let b(l) = -3*l + 85. What is the least common multiple of b(27) and 175?
700
Let x = 136559/24 + -5686. What is the common denominator of x and 3/9 + 110/(-36)?
72
Let k = -1180549/78 - -15134. Calculate the common denominator of -1/18 and k.
234
Let f = -41 - -170. Calculate the least common multiple of 2 and f.
258
Let r = 445 + -2214/5. What is the common denominator of r and (5428/966)/(18/(-21))?
45
Suppose 0 = -2*b - 12*b + 56. Suppose 2*x = -b*a + 2 + 2, 4*a - 5*x = 18. What is the smallest common multiple of 14 and a?
14
Suppose -3*s + 226127 = 5*n, 2*n + 2*n = 5*s + 180909. Let f = n + -1628249/36. Calculate the common denominator of f and 27/20.
180
Suppose 20 = 42*c - 47*c. Calculate the common denominator of (1 - 7)*2/21*c and -7/9.
63
Let o = -6 - 18. What is the smallest common multiple of 86 and (o/2)/(2/(-3))?
774
What is the common denominator of 65/21 and 22/72*-19 + 44/11?
252
Suppose -3 = -4*g + 1. Let h be (g + -1 + -10)*22. What is the common denominator of -77/4 and (7*-2)/(h/70)?
44
Let i be (0 + 1)/1 + 8. Let n = i + -5. Find the common denominator of n and (-51)/14*(-20)/(-15).
7
Let z(p) = -p**2 + p + 39. Suppose l + 3*l = 0. Let b be z(l). Suppose 4*c - 81 = -5*k, -2*c = -c + 5*k - b. Calculate the least common multiple of c and 14.
14
Calculate the common denominator of 67/40 and 455/32*274/685.
80
Let o be 2/(-7) - (-18)/14. Suppose 3*a - 34 = -4*g + 2*a, 2*g = -2*a + 14. Calculate the lowest common multiple of o - 0*(-3)/9 and g.
9
Calculate the least common multiple of 539 and 1 - 3/(-9) - (-20468)/84.
2695
Suppose 3*r - 5*i = -150, -6*r + 3*r - i - 132 = 0. Calculate the common denominator of 7/24 and (1006/180)/(-1) + 6/r.
72
Calculate the least common multiple of 3*((-40)/15 - -5 - 1) and 4.
4
Suppose -66 = -r - 3*s, 0 = 23*r - 25*r - 3*s + 132. Calculate the smallest common multiple of 204 and r.
2244
Let w = -124349/22 + 5650. Find the common denominator of w and 31/116.
1276
Let c(q) = -1 - 5*q + 5*q + 2*q. Let j be c(-3). Let y = j - -9. Calculate the least common multiple of y and 10.
10
Let g = -1978 + 3647. Let i be (g/8)/((-18)/1092). Let p = 12646 + i. Find the common denominator of p and 95/8.
24
Let n = 5097/6446 - 5/1758. Let c = -157237/21 + 7485. What is the common denomin