).
2145
Let d(x) = -178*x - 447. Calculate the least common multiple of 138 and d(-6).
1242
Let z(i) = -194*i + 2179. What is the common denominator of z(11) and -89/102?
102
Let i = 2022 - -159. Calculate the least common multiple of i and 18.
13086
Let q(i) = 3*i - 9. Let c(j) = -76 - 5*j - 6*j**2 - 65 - j**3 + 152. What is the least common multiple of c(-5) and q(4)?
33
Find the common denominator of -13*(-12)/468*(-474)/(-284) and 56/11.
1562
Let r be -3*(-8)/39300*(-876009305)/(-168). Let x = r - 723/3668. Let y = 3189 - x. Calculate the common denominator of y and 53/24.
120
Let v = -15 + 26. Suppose 4*d = q - 0*d + 2, -3*q + v = 5*d. Calculate the least common multiple of q and 1*(5 - (3 - (-12)/(-3))).
6
Suppose 0 = -19*j - 25*j + 35*j + 18. Calculate the smallest common multiple of 712 and j.
712
Let c(k) be the first derivative of -k**4/4 + k**3/3 + 16*k**2 - 9*k + 56. What is the least common multiple of c(6) and 48?
48
Let a = 65091965/264 - 246560. Let u = a + 5/24. Find the common denominator of u and 89/2.
22
Suppose 108*v + 3667 = 301*v. Calculate the common denominator of v and 41/930.
930
Suppose 64*b = 47*b + 238. Calculate the smallest common multiple of b and 7/(196/16)*49.
28
Let j(x) = x**2 - 7*x + 44. Let r be j(7). Suppose -8 = 9*p - r. Calculate the least common multiple of (4/6)/((-4)/(-78)) and p.
52
Suppose -u - 3*l = -170, -4*l + 12 = 20. Let r be (12/(-18))/((-1)/(-1422)). What is the common denominator of 31/44 and r/u - 12/(-3)?
44
Let g = 2920 + -2560. Calculate the smallest common multiple of 315 and g.
2520
Let d = 78 + -114. What is the common denominator of 129/16*d/(-81) and ((-29)/(-10))/((-24)/10)?
24
Suppose -s + 1318*d - 1319*d = -428, 4*d = s - 408. Calculate the smallest common multiple of s and 40.
2120
Suppose -30*h + 7*h = 253. Find the common denominator of -157/150 and 3 + ((-1870)/(-24))/h.
300
Calculate the lowest common multiple of 1456 and 32/4*(160/48 + (-5)/(-3)).
7280
Let h = -8830752246667/20570 + 429302492. Let o = h + -51/242. Find the common denominator of o and 119/40.
680
Let d(r) = 18*r - 42. Let x(b) = b - 2. Let o(n) = -2*d(n) + 42*x(n). Let z be ((-2)/(-6))/((-1)/(-3)). What is the least common multiple of 6 and o(z)?
6
What is the common denominator of 7317/9240 - 78/143 and 87/28?
280
What is the lowest common multiple of 3 + 54 + -7*(-11)/11 and 418?
13376
Suppose 4*s + 24 = s. Let r(v) = -4*v**2 + v**3 - 2*v**2 + 7*v - 2*v**3 + 2*v - 6. What is the least common multiple of r(s) and 10?
50
What is the smallest common multiple of 1 and (-185)/(-2) - -3*10/20*1?
94
What is the common denominator of 73/972 and (-1320)/48*(-11)/(-90)?
972
Let m(s) = -s**2 + 11*s + 62. Suppose 5 = -5*y + 5*l, -5*l + 23 = -0*y + y. What is the smallest common multiple of y and m(13)?
36
Suppose 9*v + 4 = 49. Suppose 3*i = -v*p + 178, p = -4*i + 3*p + 220. Calculate the lowest common multiple of i and 152.
1064
Let h be ((-6)/4)/(-10 - 559/(-52)). What is the common denominator of h/35*(-10)/24 + 2 and 33/8?
168
Let y(d) = d**2 + 3*d - 12. Let p be 6/8 + 9/4. Suppose -p*q - 4*l + 40 = 0, -l + 21 = -5*q + 103. What is the lowest common multiple of y(-6) and q?
48
Suppose 0 = 2*l - 7*l - 4*m + 449, -4*l - 4*m + 364 = 0. Calculate the smallest common multiple of l and 5.
85
Let v(x) = x**3 + 11*x**2 - 35*x + 3. Calculate the smallest common multiple of 32 and v(3).
96
Let a(i) = i**2 - 7*i - 6. Let m be a(10). Suppose m = 3*y + y. Let p(u) = u - 5. What is the smallest common multiple of p(7) and y?
6
Let d(k) = 9*k**2 + 26*k + 1. What is the least common multiple of 780 and d(-7)?
780
Suppose 2*g + 3*g - l + 4841 = 0, 3875 = -4*g + 3*l. Let n = g + 188. Let h = 3195/4 + n. Find the common denominator of -1/5 and h.
20
Let n(j) = 8*j**2 - 48*j + 2. Suppose -3*f - x + 5*x + 10 = 0, 5*f - 4*x - 30 = 0. Calculate the least common multiple of f and n(6).
10
Let b = 1319369 + -1227013319/930. What is the common denominator of b and 121/54?
8370
Calculate the common denominator of ((-4)/(-166))/((-930)/(-18135)) and (-27 - (1 + -2)) + -2.
83
Let g = -6016 - -84265/14. What is the common denominator of -39/1036 and g?
1036
Suppose -2*o - 114 = -5*i + 4*i, 366 = 3*i + 2*o. Suppose 32*y - i = 8*y. Calculate the least common multiple of 35 and y.
35
Suppose -55*z - 9 = -28 - 36. What is the smallest common multiple of 6650 and z?
6650
Let o be 14/140 + 21849/(-140). Let w = o - -922/7. What is the common denominator of -49/8 and w?
8
Suppose -20*q = 2806 - 7866. What is the smallest common multiple of (-4)/46 - (-5335)/q and 21?
21
Let j be (-4)/12 + 2487/18. Let k = j - 157. Let s = 151447/8780 + 2/2195. Calculate the common denominator of s and k.
12
Let h(z) = z**2 + z + 4. Let l be h(0). Suppose 4*r = -x + r + 87, l*x - 2*r = 278. What is the common denominator of (-1530)/x*1*-1 and -81/10?
20
Let h = 3569 + -96383/27. Let b = 142375/18 - 7912. Find the common denominator of b and h.
54
Suppose -7*v - 4 + 25 = 0. Let t be v + -5 - 123/(-102). Let f = t + -1117/306. What is the common denominator of 133/12 and f?
36
Let b = 25 - 28. What is the smallest common multiple of 28 and ((b - (-17)/3) + -1)*6?
140
Suppose -5*s + 0*c + 40 = -4*c, 5*c - 16 = -2*s. What is the least common multiple of 1164/45 + 2/(-3) + (-2154)/1795 and s?
24
What is the common denominator of 143/24 and (-5*(-2)/60)/((-1955)/(-2714))?
2040
Suppose -5*s + 1733 = 133. Suppose s + 415 = 15*c. Calculate the lowest common multiple of c and 14.
98
Let l be (2 - 1)/(1*(-3)/60). Find the common denominator of (-405)/756*l/18 and (-4)/(-2) + (-94)/8.
84
Let z be 1/(-44)*25683205017954/(-165). Let o = z - 3537760633. Let q = o - -129089. Find the common denominator of q and 55/6.
330
Find the common denominator of 3/((-864)/30)*294/165 and 65/24.
264
Let d = -12387459840 + 143942283453519/11620. Let w = -1/2324 + d. Let j = 47/4 + -12. What is the common denominator of w and j?
20
Find the common denominator of 128/(-480)*(-235)/16 and 157/30.
60
Suppose t + 42 - 45 = 0. Let g(q) = q + 14. Let b = -2 + 5. What is the least common multiple of g(t) and b?
51
Let g = -1/26708 - 1108373/240372. Calculate the common denominator of 0 + 0 - (1 - (-441)/(-112)) and g.
144
Let f = -1273441/21 - -60612. Let c = -1 - 27. Let w = c - f. Find the common denominator of w and -28/9.
63
Let g(c) = -c**3 + 16*c**2 - 3*c - 54. Calculate the smallest common multiple of g(15) and 252.
252
Let t = 13/1227 + -53839/24540. Find the common denominator of -79/534 and t.
5340
Suppose -3*k + 5*j + 77 = -41, -5*j = -5*k + 180. Let f = 37 - 10. Let x = k - f. Calculate the least common multiple of x and 10.
20
Let l = -1461 - -1581. What is the lowest common multiple of l and 140?
840
Suppose 7*r + 2*r - 621 = 0. Suppose 4*o - 2*g = 266, o + 2*g - 5*g = r. Let u = 13 - 7. What is the lowest common multiple of u and o?
66
Suppose -3*i + 0*s - 3*s = -6, 0 = s + 2. Calculate the smallest common multiple of ((-286)/i)/(5/(-10)) and 13.
143
Suppose 266*c + 236 = 2*m + 268*c, 454 = 4*m - 2*c. Calculate the smallest common multiple of 50 and m.
1150
Let w = -54 + 66. Let u(o) = -39*o - 1891. Calculate the lowest common multiple of w and u(-49).
60
Let z be (-3)/3*-2*1. Let r(y) = z - 5 + 2 + 13*y - 2. Calculate the least common multiple of r(1) and 6.
30
Let a be (-10)/(-65) - 2966*123/78. Let y be (-3112)/a - (22/6 + -3). Let r = y + 48347/14031. What is the common denominator of -12/11 and r?
99
Let y(b) = 29*b - 96. Let k be ((-4)/(-12))/(4/48). Calculate the smallest common multiple of 1 and y(k).
20
Let p(u) = 2*u**2 - 44*u + 189. What is the least common multiple of p(5) and 581?
11039
Suppose 174 = 3*d + 5*g, -56*d + g + 58 = -55*d. Calculate the lowest common multiple of 510 and d.
14790
Let r = -3250 + 3312. Calculate the smallest common multiple of ((-6)/(-5))/((-9)/(-30)) and r.
124
Let v be (3 - 1)/(-5*(-6)/855). Find the common denominator of -53/6 and (4/(-48))/((-6)/v).
24
Let u = -161 - -153. Calculate the least common multiple of 12 and (-2)/4 + (-100)/u.
12
Let v be (-70)/(-28)*(-164)/(-5). Let u = v + -41. Suppose 21 = 5*n - 4*h - u, 0 = 4*n - 5*h - 46. Calculate the lowest common multiple of n and 22.
154
Suppose 7*p - 4*p = 42. Let y = 6 + -41. Let v = 91