665 = 5*l, 0 = -4*l + 8. Suppose 13*r - 4*r = g. What is the smallest common multiple of r and 2 - (2/1 - 11)?
165
Calculate the common denominator of ((-4)/30)/((-12)/435) and ((-8)/48*-28)/((-64)/(-30)).
48
Let h(t) = -5*t - 11. Let m(o) = 4*o + 11. Let y(f) = 5*h(f) + 6*m(f). Calculate the smallest common multiple of 24 and y(7).
24
Suppose -10*u + 20400 = 24*u. What is the lowest common multiple of u and 36?
1800
Suppose v - 3 = 0, 99*i = 95*i - v + 379. What is the smallest common multiple of 12 and i?
564
Suppose v + 5 = i, -13*i + 16*i - 5 = 5*v. What is the smallest common multiple of i and 176?
880
Suppose -5*y + 15 = 2*h + 3*h, -4*h + 36 = -2*y. Suppose -5*f + 38 = -3*l, -2*f + 3*l + 0*l = -8. Calculate the smallest common multiple of f and h.
70
Let k = -3/287 + -13193/861. Let r be (813/309)/((-18)/20). Let d = r - -15/103. What is the common denominator of d and k?
9
Let r = -1099 - -1125. What is the least common multiple of 40 and r?
520
Let n be 5/20*8/31198. Let r = n - 546019/842346. Calculate the common denominator of 19/3 and r.
54
Let l(d) = -4*d**2 + 141*d + 109. What is the least common multiple of l(36) and 60?
60
Let u be 2449/(-158)*-1*(6 + 0). Find the common denominator of -27/16 and 15/5 + u/(-36) + 2.
48
Suppose -5*i - 754 = -3094. What is the smallest common multiple of i and 16?
1872
Let y(i) = -i + 17. Let p be y(9). Let j(b) = -b**3 + 8*b**2 + 2*b - 2. Let z be j(p). Suppose z = 7*k - 5*k. What is the least common multiple of k and 1?
7
Let i(x) = 2*x**3 - 3*x**2 - 8*x + 30. What is the smallest common multiple of i(4) and 12?
156
Let v be 66/15 + 4/(-10). Calculate the common denominator of 9/10 and (-318)/(-33)*(-2)/v.
110
Let t = 129 + -117. What is the smallest common multiple of t and 5?
60
Let x = 37 + -20. Let c = x + -11. Suppose 0*i + 3*i + 3 = 5*q, 0 = -q - 5*i + 23. Calculate the least common multiple of c and q.
6
Let q = -1310 + 5175/4. Let i = -97/2 + 58. Find the common denominator of q and i.
4
Let o(f) = 2*f**2 + 13*f. Let t be o(-7). Suppose 2 = -2*s, -2*l - 4 = -3*l - 4*s. Calculate the lowest common multiple of 2/(-4)*t/((-28)/88) and l.
88
Let x = -57 + 63. Suppose z = x*z - 70. What is the least common multiple of z and 6?
42
Let s = -186169/26 - -263461/234. Let c = s + 6041. What is the common denominator of 87/10 and c?
90
Suppose -4*y = -y + 4*p - 4, 5*y + 3*p - 14 = 0. What is the common denominator of 60/y*(-10)/28 and -4 + (-844)/(-64) - 4?
112
Let v be -1 - 15/102*(-146 + 0). Let p = v - 9967/408. Calculate the common denominator of 1/18 and p.
72
Suppose -5*c + 498 = -2*k, -3*c + 5*c - 216 = 5*k. What is the lowest common multiple of c and 4?
196
Let f(q) = -2*q + 4. Let h be f(2). Suppose -4*n - 68 + 152 = h. Calculate the lowest common multiple of n and 33.
231
Calculate the common denominator of -33/410 and (-78)/663 - (-2286)/68.
410
Let t be 84/20 - (-2)/(-10). Find the common denominator of t*((-45)/4 + 0) and 339/(-3955)*(-110)/12.
14
Suppose 4*v = -19 + 3, w - 3*v = 13. Suppose 0 = x + w, -2*x = -u + 7 - 1. Calculate the common denominator of (-1 + u)*(-4)/(-8) and -1/8.
8
Let n be (-6)/18*(0 - -39). Find the common denominator of n/(-26) + -2*(-56)/6 and (7/(-12))/((-1)/22).
6
Calculate the common denominator of (105/(-320))/(1/(2 + -14)) and 35/24.
48
Suppose 60 = 4*w + 48. Suppose -6*x = w*x - 198. What is the smallest common multiple of 6 and x?
66
Let o = 173 + -145. Suppose -4*j = -2*f + 5 + 19, -20 = 4*j. What is the lowest common multiple of o and f?
28
Suppose -152*d + 148*d + 72 = 0. What is the least common multiple of d and 99?
198
Let x = 19059/10 - 1895. Let i be 1/(-3) - 12/(-9). Find the common denominator of (-1020)/75 + (i - -1) and x.
10
Suppose -4*u + 225 = p, u + 3*u = -4*p + 216. Suppose -5*t = -25, -4*l + 3*t + 0*t = -u. Let g = 59 + -41. Calculate the least common multiple of l and g.
18
What is the common denominator of 9/26 and ((-4)/390)/((-96)/(-3708)*1)?
260
Let b = -1048/75 - -206/15. Find the common denominator of 93/40 and b.
200
Let n = -345157/22758 + -1/3793. Let a = -487/500 + 3/125. What is the common denominator of a and n?
60
Suppose 12*r - 4*f = 10*r + 20, 2*r = 5*f + 16. What is the least common multiple of 22 and r?
198
Suppose 0 = 5*g + 5*m - 21 - 4, 5*m = 5*g + 5. Suppose -5*j - 149 = w, 0 = -2*w + 6*w - 4. Find the common denominator of -71/12 and (j/400)/(g/5).
48
Suppose 0 = 128*w - 136*w + 72. What is the least common multiple of 5 and w?
45
Let d be ((-1)/(-3))/(11/561). Let o = -13 + d. What is the smallest common multiple of o and -1*(26/(-39) + (-19)/3)?
28
Calculate the common denominator of (-27)/2*(-4)/(-60)*5 and 95/6.
6
Let r(q) = -9*q - 1. What is the least common multiple of (1/(-3))/((-12)/(-432)*-6) and r(-1)?
8
Let z(t) = -t**2 - 4*t + 66. Calculate the lowest common multiple of z(6) and 614.
1842
Suppose d + 5*w - 31 = -2, 37 = 3*d + 5*w. Suppose q + 2*q + d = -2*o, 7 = -o - 4*q. Calculate the smallest common multiple of 1 and o.
1
Let c = -49701389/732 + 67898. Calculate the common denominator of c and 89/6.
732
Let u = 101 - 72. Calculate the least common multiple of 5 and u.
145
Let l be (-44)/10*(-1 + 15/(-10)). Let q(i) = -i**3 + 12*i**2 - 12*i + 15. What is the lowest common multiple of 18 and q(l)?
36
Suppose 5*a = -l + 620, -a = -2*l - 173 + 60. Calculate the least common multiple of a and 15.
615
Suppose -5*d + s = 4*s - 20, 0 = s. Suppose 0 = t - 3*a + 13, -3*a = -d*t - 4*a + 13. Suppose -t*k + 3 = -3. Calculate the least common multiple of k and 3.
3
Let d be (1 - 7)/(-2) - 1. Suppose d*k + 3*t - 27 = 0, k = 5*k + 4*t - 44. What is the lowest common multiple of 20 and k?
60
Suppose 3*n = 3*y - 15, -4*y + 11 - 1 = n. Let b(a) = 2*a**3 + 77*a**2 + 40*a + 88. What is the least common multiple of y and b(-38)?
12
Let p = -548 - 271. Calculate the common denominator of p/140 - (-2)/4 and 83/14.
140
Let y(f) = 2*f**2 + f - 2. Let r be y(2). Suppose 2*x - r = 2. Suppose -55 = -0*t - x*t. What is the smallest common multiple of 11 and t?
11
Let w be (-2 - -3)*30/2. Let o = w + -4. Let r = 37 - 31. What is the lowest common multiple of o and r?
66
Let a(x) = 5*x**3 - 2*x**2 + 5*x + 2. Calculate the smallest common multiple of 36 and a(2).
396
Suppose 522 = 18*f - 270. Suppose -73 = -6*g + 23. What is the lowest common multiple of g and f?
176
Find the common denominator of 1/((-1)/4) + (-37925)/(-8250) and -2/33.
330
Let d = 3509/2214 + 11/246. Calculate the common denominator of d and 2/(-7) - 4672/(-3024).
27
Find the common denominator of 161/6*(-4)/(-63) and -19 + 2450/130 + (-1838)/(-624).
216
Suppose 3*v - 3*a + 3 = 0, v + 2*a = a + 7. Let g be 2 - (v - 0 - 2). Calculate the smallest common multiple of 16 and g - 2 - (-1 + -12).
48
Let z = -89 - -128. Let a = -17 + z. Calculate the smallest common multiple of 22 and a.
22
Let q(t) = -t**3 - 2*t**2 + 6*t - 6. Let n be q(-4). What is the common denominator of (2*(-95)/12)/n and 25/11?
132
Calculate the common denominator of 13/60 and ((-1391)/(-390) + -8)*1/4.
120
Let r be 151806/30 + (-2)/10. Suppose -6*u + r = -4*u. Let b = 45625/18 - u. What is the common denominator of 41/2 and b?
18
Let y(o) = -o**3 - 18*o**2 - 10*o - 5. Let z be y(-17). What is the common denominator of (1 - 0)/((-60)/z) and 37/30?
30
Suppose a + 1551 - 270 = 4*n, 5*n = 3*a + 1596. What is the common denominator of 18 and 3 + n/18 + 3?
6
Suppose 2*g + g - 27 = 0. Let t = 18 - 10. Let a = 0 + t. What is the least common multiple of g and a?
72
What is the common denominator of (80/108 - -2)*(-2)/20 and -68/39?
1755
Let z(w) = -10*w - 4. Calculate the smallest common multiple of (-4)/(-7)*7/2 and z(-2).
16
Let r = -134 - -139. Suppose -3*g - 9 = r*d + 4, -26 = -4*g + 2*d. What is the smallest common multiple of g and 40?
40
Suppose 5*h + 0 + 10 = 0, 3*h + 66 = 5*n. What is the least common multiple of 18 and n?
36
Suppose -378 = 16*v - 22*v. Calculate the lowest common multiple of 14 and v.
126
Let d(n) = n**3 - 5*n**2 - 6*n - 6. Let l be d(7). Suppose -4 = -3*r + l. What is the least common multiple of 8 and r?
72
Calculate the common denominator of -47/24 and (-3)/36*(-545)/25.
120
Let j = 1589/4026 - -11/122. Let u = 12291 + -49225/4. What is the common denominator of j and u