pose -45 = -5*m + 4*n, g*n = 2*n. What is the smallest common multiple of 9 and m?
9
Let v be ((-24221)/(-12))/(6/(-66)). Let s = v + 22215. Let o = 9053/912 + -700/57. What is the common denominator of s and o?
48
Calculate the smallest common multiple of -2*(2/3 - (-26)/(-12)) and 252.
252
Suppose -22*t - 692 = 628. Calculate the common denominator of (-327)/(-54) - 4/(-6) and (3/t + 0)*(-595)/14.
72
Let y(u) = -u - 102. Let b be y(-6). Calculate the common denominator of -47/9 and 40/b*(-2)/(-15) + 1.
18
Suppose -26*o - 1306 = -1514. What is the lowest common multiple of 1980 and o?
3960
Suppose -13*c + 10*c + 33 = 3*s, 5*c = -8*s + 73. What is the smallest common multiple of s and ((-1)/(-2))/(1/12)?
6
Suppose 2*o = -4*z + 58, 0*o + 5*o - 85 = -5*z. Let s be 1 - -1*(2 - -116). Let k = s + -87. What is the lowest common multiple of k and z?
96
Suppose -5*u = 0, -5*p = -u - 115 + 780. Calculate the common denominator of 765/p - (-6)/(-57) and 2/99.
693
Let g = -74/277 + -21697/2770. What is the common denominator of g and -3/410?
410
Suppose -12*i - 12 = -15*i. Suppose -i*a = -19*a + 150. Find the common denominator of -38/9 and 3/a*(-340)/60.
90
Let c(t) = -41*t - 56 + 8*t**2 - 14*t**2 - 85 + 5*t**2. Calculate the smallest common multiple of 119 and c(-37).
119
Let c(l) = l**3 - 14*l**2 + 43*l + 64. Let u = -12 + 39. Calculate the lowest common multiple of u and c(8).
216
Let v be (-3)/(-6)*(0 - (0 + -4)). What is the common denominator of 637/168 - 1/(v/8) and -89/18?
72
Let b(w) = -w**3 + 20*w**2 - 88*w - 2. Let n be b(11). Let x = n - 5237/44. Find the common denominator of x and -107/132.
132
Calculate the common denominator of 21/5*2840/561042 and -15/11.
14487
Let f be (-32)/(-176) + (-2539)/(-11) + 1. Let j = f - 385. Calculate the common denominator of 11/18 and 1 + j/(-24) - 3/3.
72
Let f(s) = -6*s - 5*s + 6*s - 3*s - 110 - 3*s. What is the lowest common multiple of f(-11) and 45?
495
Let r = 9 + -4. Suppose 3*w + 5*a - 41 - 8 = 0, r = a. Let s = 36021 + -35997. Calculate the least common multiple of s and w.
24
Let o(f) = 3*f + 24. Let h be o(-9). Let b(j) = -10*j - 10. Let p be b(h). Suppose 17*d + 3 = p*d. Calculate the lowest common multiple of d and 5.
5
Let l = 209196 - 41839103/200. Find the common denominator of l and -71/175.
1400
Let z(p) = -22*p**2. Let i be z(1). Let t = 40 + i. Let g = 52617 + -52613. Calculate the least common multiple of t and g.
36
Suppose 6*u = 17 + 79. Suppose 48 = u*g - 8*g. What is the smallest common multiple of 0 + 5 + 4*g/24 and 7?
42
Let y = 221 + -215. Find the common denominator of 14/9 and (6/y)/(300/(-316)).
225
What is the common denominator of -161/396 and (-6)/(-69) - 127547/707940?
17820
Calculate the smallest common multiple of -1 - 6 - (-260)/(-160)*-8 and 528.
528
Suppose 0 = 3*n + 2*v + 1335, 3*v = 2 + 7. Find the common denominator of -81/2 and ((-12)/(-54))/(12/n).
18
Let g(k) = k**2 + 4*k + 6. Let t be g(-6). What is the least common multiple of 20 and 14/(-6)*(-3 - -1)*t?
420
Let f(o) = -2*o**3 + 29*o**2 + 8*o + 112. Let g(b) = b. Let s(v) = 5*v + 2. Let m(c) = -4*g(c) + s(c). Calculate the smallest common multiple of m(3) and f(15).
35
Let d = -22433 - -22749. Calculate the least common multiple of d and 100.
7900
Suppose 0 = n - 4*s - 18, -6*n + 10*n - 30 = -5*s. Let h(g) = -5*g + 11. Let v be h(-9). What is the lowest common multiple of v + 1 + -1*3 and n?
270
Let m be ((-15)/4)/((-21)/56). Let i be 1026/30 + (-2)/m. Let b = 78 - i. Calculate the lowest common multiple of 8 and b.
88
Let a = -19284 + 19728. Suppose 3*g = 2*s + 22, -4*s - 25 = -2*g + 3. Calculate the lowest common multiple of a and g.
444
Let y = 52 - 34. Let u(q) = q**2 + 18*q + 433. Calculate the smallest common multiple of u(-21) and y.
4464
Suppose -395*u + 471*u = 150480. What is the least common multiple of u and 900?
9900
Suppose -s = -2*u + 680, 5*u + 2*s = 2*u + 1034. Let z = 360 - u. Calculate the smallest common multiple of 9 and z.
18
Let j be (18/8)/(6 + (-25)/4). What is the common denominator of (41/4)/((-18)/(-6)) and -3 - j/5*(-99)/(-36)?
60
Suppose 6*d - 20 - 52 = 0. Suppose d*h = -5*h + 153. Calculate the lowest common multiple of 4/3*(-30)/(-4) and h.
90
Suppose 0 = 11*h + 2*h - 2171. Calculate the common denominator of (19/38)/((-126)/h) and 83/56.
504
Let p(z) = -4*z**2 - 15*z + 7. Let x be p(-4). Suppose -x + 31 = 7*s. What is the smallest common multiple of s and 1?
4
Suppose t - 6*t - 590 = 2*b, 5*b - 590 = 5*t. Let p = t + 55. Let g = 83 + p. Calculate the least common multiple of 11 and g.
220
Let o = -32 - -34. Suppose -2*x = 3*x, o*q - 4*x = -42. Let v = q - -23. Calculate the least common multiple of v and 17.
34
Let y be (24/(-18))/(3/(-9)). Suppose b = 5*v + 10, -y*v + v + 86 = 4*b. Calculate the least common multiple of b and (-1)/(((-28)/(-112))/((-11)/4)).
220
Let t = -265 + 565. Suppose 190*x - 195*x + t = 0. Calculate the smallest common multiple of 20 and x.
60
Let a = 3967 + -3952. Calculate the smallest common multiple of 405 and a.
405
Let z(u) = -u**3 + u**2 + 2*u - 1325. Let s be z(0). What is the lowest common multiple of 4 and s/(-55) + (-2)/22?
24
Let w be -4 + (-5 - 5002374/3). Let x = 130064449/78 + w. Let u = -114/13 + x. What is the common denominator of u and -83/12?
12
Suppose -4*u = -23 - 9. Suppose -26*h + 22*h + 16 = 0. Let b(w) = -w**2 + 16*w - 46. What is the lowest common multiple of u and b(h)?
8
Suppose 90*v = 91*v - 8. Let o(d) = d**3 - 20*d**2 + 22*d + 7. Let y be o(19). Let a = -48 + y. Calculate the least common multiple of v and a.
16
Let h = 529649/28 + -18918. What is the common denominator of h and 109/696?
4872
Suppose 2*q - 5*q + 3*a + 2580 = 0, 3*a + 852 = q. Let x = 13 + -1. What is the smallest common multiple of x and (2/(-6))/((-16)/q)?
36
Let y = 358/45 - 42/5. What is the common denominator of (-21147)/9310 + 618/126 + -5 and y?
90
Suppose 2*x - 8 = -p, 16*x - 4*p - 7 = 11*x. Suppose -4*l = 5*m - l - 4, 3*m = -x*l. What is the lowest common multiple of m and (-2 + -10)*(-1)/2?
6
Let v = -556 + 795. Let s = -1668/7 + v. Find the common denominator of -5/2 and s.
14
Let t = 228 + -119. Let k = 51 - t. What is the common denominator of k/40 + 6 + -7 and 17/24?
120
Let c = -762 + 767. Suppose -2*n = 5*i + n - 93, -4*i + 67 = -c*n. Calculate the lowest common multiple of i and 24.
72
Let x = -710498 + 244407805/344. Let h = -49/86 - x. What is the common denominator of h and ((-26)/27)/(-1)*3?
72
Let d be 12 + (-10)/(-6)*3 + 3. Let i(s) = s**3 + s + 4. Let b be i(0). What is the smallest common multiple of 35 and (b*5/d)/((-1)/(-11))?
385
Let y(l) = 6*l**2 - 166*l - 335. Calculate the least common multiple of y(-2) and 1323.
1323
Suppose 234 = 58*b - 56*b. Suppose -9*u + 63 = -b. Calculate the smallest common multiple of u and 76.
380
Let l = -20 - -26. Calculate the common denominator of -83/6 and 13/(-39)*(-23)/l.
18
Suppose 2*h = g - 8 - 8, 4 = -h. Let o be (-52)/g*(-7 - -1). Suppose -o = d - 49. What is the least common multiple of d and 5?
10
Calculate the lowest common multiple of (-32 + 36)/((-7)/(-84)) and 210.
1680
Let z(k) = -k**2 - 14*k + 68. Let x be z(-17). Let m(n) = 3*n**2 - 51*n + 27. What is the smallest common multiple of 9 and m(x)?
27
Let s = -7975277 - -59671022651/7482. What is the common denominator of -28/5 and s?
37410
Suppose -72*f + 75*f + 12 = 0. What is the common denominator of f + 0 - (-99)/(-72) and 8/9?
72
Let i(u) = u**3 + 21*u**2 + 45*u + 1017. Calculate the smallest common multiple of i(-21) and 69.
1656
Suppose 3*c - 2 = 7. Suppose -15*r - 82 + 149 = -203. What is the smallest common multiple of ((-6)/c + 45)*2 and r?
774
Calculate the lowest common multiple of 1953 and (-31)/4*(-1 - (19 + -8) - -4).
3906
Let j = 19 + 11. Suppose 16*l - 11*l - 35 = 0. Let n(d) = 7*d - 27. Calculate the lowest common multiple of j and n(l).
330
Let d = -1968 - -27527/14. Calculate the common denominator of -3/22 and d.
154
Let g(b) = -69*b - 67. Calculate the smallest common multiple of 724 and g(-1).
724
Suppose -6*l + l = -60. Let f = 0 + -146. Calculate the common denominator of -62/9 and f/12*l/8.
36
Let w(a) = a**2 + 2*a - 20. Let y be w(12). Let u = -139 + y. What is the smallest common multiple of u and 14