 Let z = o - -563. What is the least common multiple of 165 and z?
990
Suppose 180 = -13*h - 2. Let k = -8897/132 - -636/11. Find the common denominator of (h/(-60))/(40/850) and k.
24
Let f be ((-105)/(-30))/(0 + 2/4). Suppose -1130 = -f*n - 185. Suppose -543 = -6*x - n. What is the lowest common multiple of 8 and x?
136
Let h(x) = x**3 - 9*x**2 + 37*x - 18. Calculate the smallest common multiple of h(3) and 1851.
24063
Let u = 17128 - 12488. What is the least common multiple of u and 12?
13920
Let o(j) = 60*j**2 + 7*j - 265. Calculate the smallest common multiple of 1740 and o(-5).
34800
Let t = -12678437/18 + 703783. Let y = t + 1143/2. Find the common denominator of 25/38 and y.
342
Let a = -5573 + 5661. Calculate the smallest common multiple of 40 and a.
440
Suppose -o + 259 + 53 = 0. Suppose s - 5 = -8, -2*s = -d + 20. What is the smallest common multiple of d and o?
2184
Let j(v) = -2*v - 28. Let y be j(-15). Suppose -2*t + 32 = 5*n, 0*t - 4*t = y*n - 32. Find the common denominator of -2 - (-934)/(-240) - t/15 and 1/10.
120
Let y be 7 + (-750)/(-27) + (-6)/(-27). Suppose -y*w - 83 = -293. What is the smallest common multiple of w and 2?
6
Suppose -346 = -5*a - l, 160 = -11*a + 13*a - 5*l. What is the common denominator of 2*(-1)/156*-73 and 56/(-140) - 557/a?
546
Let b(a) = 38*a - 147. Let l be b(4). Suppose l*d + 459 - 469 = 0. What is the least common multiple of d and 70?
70
Suppose 4*g = -5*t + 3*g - 1167, -12 = -4*g. Let i be 36686/t*(-6)/(-16). Let r = 119/2 + i. What is the common denominator of 101/4 and r?
24
Let t(k) = 10*k - 4055 + 4068 - 2*k**3 - 33*k**2 + 6*k. What is the least common multiple of t(-17) and 60?
60
Find the common denominator of (-6)/(-14) + 70024/(-11424) + (-4)/(-34) and 43/294.
588
Let s = 84/31 + -1809/496. What is the common denominator of 83/20132 and s?
80528
Let y(a) = -639*a**3 - 8*a - 7. Let v be y(-1). Suppose 18*z - 26*z + v = 0. Calculate the least common multiple of z and 24.
240
Suppose -5*u + 3*n + 13 = 0, 0 = -12*u + 10*u - n + 3. Suppose 29*w - 434 = -u*w. Calculate the smallest common multiple of w and 18.
126
Let j = -87 - -147. Suppose -4*d + j = -44. What is the least common multiple of (-14)/(-2) + 77/(-28)*4 + 12 and d?
104
Let q = 28054 + -28010. Calculate the smallest common multiple of 99 and q.
396
Calculate the common denominator of (-531)/73278*358/20 and -187/1380.
1380
Let d = -17579993543/2385372 + 57/198781. Let l = 7374 + d. Calculate the common denominator of l and 97/6.
12
Let u = 263 - 259. Calculate the lowest common multiple of (u/(-6))/(10/(-585)) and 6.
78
Let h = -210 + 228. Find the common denominator of 109/18 and (9/h)/((-9)/34).
18
Suppose -5*x - 5*p = 4310, 4*p = 5*x + 3171 + 1175. Let v be x/(-6) - (-6)/4. Let j = 3647/24 - v. Find the common denominator of -21/10 and j.
40
Suppose -247 = -25*l + 53. Suppose 6*t = 5*t - 2*g + 86, 5*t - 4*g - 416 = 0. What is the smallest common multiple of l and t?
84
Let p = -1191 + 1257. Suppose 5*l - l = 12. What is the least common multiple of p and l?
66
Suppose -4*w + 41 = -9*o + 8*o, 5*w = -5*o + 20. What is the lowest common multiple of w and 4156?
37404
Let k(u) be the third derivative of -u**5/60 - u**4/3 - u**3/3 + 12*u**2. Let z be k(-7). Suppose 2*p - z = 1. What is the smallest common multiple of p and 20?
60
Let l be ((-20)/7)/(28/(-98)). Suppose 112 = -l*s + 14*s. Suppose 0 = -6*v + 11*v - 100. What is the least common multiple of s and v?
140
Let s be ((-108)/270)/(784/(-190)). Let i = -7489/588 - s. Calculate the common denominator of -29/60 and i.
60
Suppose 0 = 23*u - 5*u - 17316. Calculate the common denominator of 37/8 and u/260 - (2 - 1).
40
What is the common denominator of 21/5450 and 26/(-66)*4*((-2135)/(-70) + -32)?
59950
Suppose 0 = -l + 4*l + 5*x - 35, -125 = -5*l + 5*x. Let n(i) = 4*i - 2. Let j be n(6). Let v = j + 18. Calculate the smallest common multiple of v and l.
40
Suppose -13*h + 186 = -15*h. Let o = h + 95. Suppose -f + 7 = l, -4 = -3*l + o. What is the least common multiple of 4 and f?
20
Let m(w) = 15*w + 18. Let b(d) = -23*d - 27. Let c(a) = 5*b(a) + 8*m(a). Let l be c(-2). Find the common denominator of (l + 19/20)*(92 + 15) and 93/10.
20
Let z be 0 + 1831655/342 + -1. Let h = z - 48181/9. Calculate the common denominator of h and (-30)/24 + (-8 - -3).
228
Suppose 2*r + 5*t = -1, 3*r + t = 8*r - 11. Suppose -51 = 5*o - z + 22, -r*z = -o - 20. Calculate the smallest common multiple of (1 + (-4 - o))*1 and 2.
22
Let m(h) = 12 - 6*h**2 - 4*h + 7*h - 3*h + 2*h**3. Suppose 0 = 4*g - 20 + 4. Calculate the least common multiple of m(g) and 2.
44
Suppose 2*k - 84 = -i, -258 = -3*i - 107*k + 102*k. Calculate the smallest common multiple of i and 480.
480
Let h = -401137/4 - -916807/12. Let r = h - -25314. Let j = -1411 + r. Calculate the common denominator of j and -65/18.
18
Let o = 16304 + -16240. Calculate the least common multiple of 3 and o.
192
Suppose -3*u = 1 + 41. What is the common denominator of (-26)/u - 2/(56/12) and 64/9?
63
Let p(l) = -l**2 - l + 2. Let b = -55 + 55. Let v = 4 + 6. Calculate the lowest common multiple of v and p(b).
10
Suppose -80*v = -3*w - 78*v + 102, 135 = 4*w - 3*v. Calculate the smallest common multiple of 12 and w.
36
Let u(r) = 2*r - 14. Let j be u(10). Suppose j*i = 15*i. Suppose -12*s + 17*s - 20 = i. Calculate the smallest common multiple of s and 38.
76
Let c be (0 + 10)*(-8)/16. What is the common denominator of 42/4 - c/10 and 58/7?
7
Let t = -1208 - -19243/16. Calculate the common denominator of t and -143/768.
768
Let y = -3244 - -3253. Calculate the lowest common multiple of y and 10.
90
Let q be (-36)/(-10) - (162/30)/9. Let f(b) = 10*b**2 + 2*b - 18. Let t be f(3). Calculate the least common multiple of (3 - 11/q)/((-4)/t) and 3.
39
Calculate the common denominator of (-1)/2 - (-110)/6 and (129/(-6))/(32 - 17).
30
Let c be (-3)/2 + 3006/36. Let v(m) = m**2 + 6*m + 12. Let h be v(-11). Let s = c - h. Calculate the least common multiple of 21 and s.
105
What is the least common multiple of 2 and (31/((-5859)/(-45948)))/((-10)/(-45))?
1094
Suppose 7218*d - 7219*d = -134 - 133. Calculate the least common multiple of 168 and d.
14952
Let s = 818582/1437711 - -1/75669. Let f = s + 20639/3762. What is the common denominator of 1/3 + (-430)/(-96) and f?
144
Suppose 10*h - 199 = 11. Calculate the common denominator of 4/6*-69*h/140 and -63/62.
310
Suppose 154 = 3*y - 182. Find the common denominator of 91/314 and 56/(-196) + 669/y.
2512
Suppose -23*h + 18*h - w + 8 = 0, -3*w + 5 = -4*h. Find the common denominator of -41 and h/2 + (-351)/858.
11
Let s(j) = -j**3 - 4*j**2 + 41*j + 254. Calculate the smallest common multiple of s(-6) and 920.
1840
Let d be 566/(-284) + 3/8. Let g = 1/142 - d. What is the common denominator of g and 127/54?
216
Let t = -3 - -6. Suppose -t*s + 2 = -2*d, 2*d + s + 0 = 6. Calculate the least common multiple of 8 and d.
8
Find the common denominator of -2 + (-66)/(-36) + 275/192 and -133/48.
192
Suppose 21*v - 24*v = 60. Let k = v - -100. Suppose 92 = -k*u + 82*u. What is the common denominator of 83/72 and u?
72
Let m(j) = -12*j**3 + j**2 + 2*j + 1. Let u be m(-1). Suppose 6*b + u = 8*b. What is the least common multiple of b and 100/55 - (2 - 192/88)?
6
Let r(w) = -11*w + 20. Let v be r(-13). Let k = -158 + v. What is the least common multiple of 6 and k?
30
Let c(f) = 19*f**2 - f - 32. Let n be c(-8). What is the common denominator of 125/24 and (n/16 - 0)/(2*9)?
72
Let a be (-1)/3*1*36. Calculate the common denominator of (258/a - 0)*1/6 and 101/460.
1380
Suppose 8 + 0 = 4*g, -3*g = -3*d - 204. Let n be 225*(9/d)/3*-6. Let i = n - 2737/55. Calculate the common denominator of 69/2 and i.
10
Let j(r) = 5*r - 19. Let z be j(4). Let y = 49 + z. Calculate the smallest common multiple of 35 and y.
350
Let v(l) = -48*l - 3. Let s be v(-2). Suppose 3*h - 53 = 2*y - 145, 3*y - s = 3*h. Calculate the smallest common multiple of ((-4)/3)/(5/h) and 32.
32
Let i(j) = -j + 16. Let g be 3*((-64)/6)/(-8). Let y be i(g). Find the common denominator of 55/21 and (-518)/(-18)*y/126.
189
Let n = 7917/2 + -79211/20. Let h be -2 + (2 - 6884/(-4)). Let j = h + -20621/12. What is the common denominator of j and n?
60
Let a = 2624 + -2628. 