Let o = 350/19 - 2277/38. Let v = -9/53 - 509/1060. What is the common denominator of v and o?
20
Suppose -7*j - 16 = 2*b - 3*j, 2*b = -3*j - 11. Suppose b*g - 16 - 48 = 0. What is the common denominator of g and ((-513)/72)/(45/(-12))?
10
Let v(m) = m**3 - 16*m**2 + 7*m - 101. Let w(s) = -5*s. Let p be w(-1). Let a(o) = o**2 - 2*o - 5. What is the least common multiple of a(p) and v(16)?
110
Let v = 5 + -4. Suppose 5*l - s + 3 = 0, -1 = 2*s - 7. Calculate the smallest common multiple of v and 7 + -1 + (1 - (-1 - l)).
8
Suppose 41 = 4*k + 17. Suppose 4*s - 52 = -2*w, -3*w + 57 = 5*s - k. What is the smallest common multiple of s and 8/10 - (-1)/5?
15
Suppose 5*i = -4*l - 87, -5*i = 2*l - 6*l - 137. Let d = l - -32. What is the smallest common multiple of d and 6?
12
Let w = -99839/19539 + -3/2171. Let q = 18 + -16. Find the common denominator of ((-1)/(-33))/(1/78*q) and w.
99
Let l = -24 + 22. Let x(s) = -4*s**3 + 4*s**2 - s - 1. What is the lowest common multiple of x(l) and 3?
147
Calculate the common denominator of 576/90 + -1 + (-1)/2 and 8/20 + 166/260.
130
Let z = -265713/20 + 13291. Let w be (-5)/(-3)*1206/32. Let d = w + -9869/144. Find the common denominator of d and z.
180
Suppose -2*y - 7 = -23. Let r(x) = -1 - 5*x + 1 + 4*x + 2 + x**2. Calculate the lowest common multiple of r(2) and y.
8
Let l = -44416807/630 + 70503. Find the common denominator of l and 63/4.
1260
Let t = -780 - -470. Let s be (-2 + -2)/(t/22). Let u = 16229/930 - s. What is the common denominator of 2 and u?
6
Suppose 36 = -4*g - 4*b, -5*b - 1 = -4*g - 10. Let y(r) = -r. Calculate the lowest common multiple of (-13)/(-2) - (-3)/g and y(-3).
6
Let b = 25181/2 + -13373. Let f = 761 + b. What is the common denominator of (-24 + 3)/(4*2) and f?
8
Let g(p) = p**3 - p + 18. Suppose 4*m - 20 = -8. Calculate the lowest common multiple of g(0) and m.
18
What is the least common multiple of -1*3*22/(-99)*30 and 6?
60
Suppose -4*b + 2*b = 2066. Let z = b - -5211/5. Calculate the common denominator of z and 34/41.
205
Let v be ((-6)/9)/(1/6). Let h be 3 + -3 - v/1. Suppose 5*z + 5*i = h*i + 95, -26 = -2*z + 2*i. What is the least common multiple of z and 14?
126
Let a be 0 - (0 + -1 + 5755). Let j be (-28)/(-42) + (-31516)/a. Let m = j + -1/959. What is the common denominator of m and -17/7?
7
Let g be (1251 + -2)*(-1 - 0). Let c = g + 2573/2. Let f = 366957/20 + -18343. Find the common denominator of c and f.
20
What is the smallest common multiple of ((-351)/(-81))/(4/72) and 52?
156
Let x = -1/20410 + -365327/244920. Find the common denominator of x and -22/3.
120
Let k(s) be the first derivative of 2*s**2 - 35*s - 10. Calculate the least common multiple of k(10) and 4*(0 - 1) + 27.
115
Suppose -151 = -5*m + 169. What is the least common multiple of 36 and m?
576
Suppose 0 = -3*b + 3, -b + 321 + 160 = 4*t. What is the common denominator of -57/2 and 8/(-12) + t/99?
22
Suppose 3*k - 9 = -0*k, -4*k = -v - 38. Let j(o) = o**2 + 24*o - 43. What is the lowest common multiple of j(v) and 10?
90
What is the smallest common multiple of -3 + -3 + (18 - (12 + -6)) and 18?
18
Suppose -70*n - 280 = -80*n. What is the lowest common multiple of n and 28?
28
Let z be (3*(-4)/9)/((-4)/(-6)). Calculate the common denominator of (z/(-12))/(6/(-417)) and (-110)/(-36) + (-2)/(-6).
36
Let z = -47198/2091 - -384/17. Let w = 2114/1107 + z. What is the common denominator of w and 67/24?
216
Let s be ((-81)/6*9)/((-3)/(-96)). Let y = -70087/18 - s. Find the common denominator of y and 83/24.
72
What is the smallest common multiple of 40 and (10984/40 + 15)/(4/10)?
7240
What is the common denominator of 58/(-9) - (-8)/24 and (-2 - (-74)/3) + -4?
9
Let r = -450 + 642. What is the smallest common multiple of 192 and r?
192
Let q be (-2089)/(-24) - -5*(-4)/30. Let m = q + -86. Find the common denominator of 91/8 and m.
8
Suppose -5*d + 4*d - z + 2 = 0, -2*d - 4*z - 2 = 0. Suppose -s = t - 19, -d*t + 94 = -2*s + 6*s. What is the least common multiple of 30 and t?
90
Suppose 5*u = n + 15, -n - 6*u + 2*u = -30. Let z = 31 - 26. What is the smallest common multiple of n and (-99)/(-22) + z/(-2)?
10
What is the common denominator of 27/20 and (-245)/8260*(1 - 3)*11?
1180
Suppose -3*a + 3*b + 51 = 0, -4*b - 18 + 6 = 0. Suppose 0*n = n - a. Let o = -9 - -19. What is the lowest common multiple of o and n?
70
What is the common denominator of (-340)/595 + (-1486)/(-616) and 15/34?
748
Suppose 4*c + 2 = 30. Suppose a + c = v, 3*a + 1 = 5*v - 22. Calculate the smallest common multiple of -4 - (a + -3 + 3) and 9.
18
Let o be 800/12 - (-2)/6. Suppose 15 = 3*n, -5*n = -0*g + 3*g - o. What is the least common multiple of g and 8?
56
Let v(n) = 3*n**2 - 5*n + 5. Let p be v(1). Calculate the common denominator of (p/(-99))/((-5)/(-255)) and -91/4.
44
Let s = 20695 + -39520. Let l = s + 621160/33. What is the common denominator of l and -7/24?
264
Suppose -q = -21*z + 26*z - 726, -3*q = -z + 158. What is the least common multiple of z and 18?
1314
Suppose 5*r + 33450 = -11490. Find the common denominator of -31/6 and (1/21)/((-144)/r).
36
Find the common denominator of (-1595)/(-336) + -25 + 26 - 6 and 45/128.
2688
Suppose 142 = 3*u - 338. Suppose 0 = -3*d + 7*d - u. Find the common denominator of d and (-1)/(-2)*8/(-22).
11
Suppose -69*c = -64*c - 1440. Calculate the smallest common multiple of 6 and c.
288
Let o = -19644727/42 + 467759. Let h = -85/3 + o. Calculate the common denominator of 47/16 and h.
112
Let v be (-7 + 15)/(2/(-149)). Calculate the common denominator of 25/18 and (0 - v/(-24)) + 1.
18
Let v = 8 + -6. Suppose b = -a - 4*a + 43, -v*a - 3*b + 25 = 0. What is the lowest common multiple of a and (-36)/(-1 - (3 - 2))?
72
Suppose 0 = 5*w + 5*k - 55, -2*w + 2*k = -3*w + 15. Let f be 6 - w - 10/(-1). What is the smallest common multiple of 6 and ((-36)/10)/(f/(-30))?
12
Suppose i - 130 = -5*x, 14*x = i + 13*x - 154. What is the smallest common multiple of 15 and i?
150
Let k = -457 - -920. What is the least common multiple of 9 and k?
4167
Let o(m) = -4*m + 64. What is the smallest common multiple of o(6) and 35?
280
Let c = -7013/7830 - -52/145. What is the common denominator of -64/3 and c?
54
Let k = 2800745/132 + -21217. Find the common denominator of k and 161/66.
132
What is the smallest common multiple of 10 and (8216/(-78))/(16/(-84))?
5530
Calculate the common denominator of -79/30 and (-9)/27 + (-302)/(-24).
60
Let b be ((-1593)/(-12))/((-3)/12). Find the common denominator of ((-21)/18 + 1)*b/(-30) and -59/8.
40
Let u = -1801 - -9039/5. Suppose -9*g = -11*g + 110. What is the common denominator of u and 3 - (g/(-6))/11?
30
Let x be (162/24)/(-1*3/(-8)). Calculate the smallest common multiple of (-146)/(-10) - x/30 and 7.
14
Let h(l) = 3*l**2 - 2*l + 1. Let r be h(1). Let p(c) = 3*c**3 - 4*c**2 + 6*c - 4. What is the lowest common multiple of 18 and p(r)?
144
Suppose 0 = -18*v + 13*v + 90. Suppose -3*g + 31 + 50 = 0. What is the lowest common multiple of g and v?
54
Let f be 2 - (0 - -2 - -41). Let q = f - -61. Suppose 4*r - 9*r + 3*a + 23 = 0, 0 = -3*r + 2*a + 14. Calculate the least common multiple of r and q.
20
Suppose -4*h + 311 - 143 = 0. Suppose 15 = -5*p, 4*s + 4*p - 32 - 44 = 0. Calculate the lowest common multiple of s and h.
462
Let r(f) = -f + 15. Let u be r(10). Suppose 25 = 4*t + u. Calculate the smallest common multiple of 6 and t.
30
Let t(j) = -j**3 - 61*j**2 - 278*j + 126. Let b(p) = p**3 + p**2 + 2*p. What is the lowest common multiple of b(2) and t(-56)?
112
Let a(l) = l**2 - l - 8. What is the least common multiple of a(-3) and 4?
4
Let w = -84338/23199 - 2/2109. Let n = 94/77 - w. Calculate the common denominator of 33/8 and n.
56
Suppose -3*r + 17 = -1. Let y be 63 + 1/((-2)/r). Calculate the common denominator of 23/4 and (-598)/y + (-18)/(-135).
12
Suppose -2*k + 3*h - 10 = 0, -5*h + 21 + 0 = k. Calculate the least common multiple of 3 and k.
3
Suppose -2*h - 194 = 2*l, -3*h - 51 - 242 = 2*l. Calculate the common denominator of 1 - h/48*-1 and 2/8 + 86/(-32).
16
Let n = -265/26 - -9/13. Let y = 3 - 4. Calculate the common denominator of (-2 + 5)/(20*y) and n.
20
Calculate the common denominator of -71/54 and (-3)/1 + 755/450.
270
Suppose 14*x + 1 = 29. Let f = -1 