= -48 - -52. What is the lowest common multiple of 18 and ((-6)/t)/(3*1/(-32))?
144
Calculate the common denominator of 205/(-756) - (-138)/322 and -17/28.
756
Suppose 32 = -27*j + 167. What is the least common multiple of j and 25?
25
Let x = 3203 + -1997. What is the least common multiple of x and 16?
9648
Suppose -7*l = -317 - 411. Calculate the lowest common multiple of 6 and l.
312
Let x = 60/253 - 28928/126247. Let s = -1793365294051/2994 + 598986423. Let q = s - x. Find the common denominator of 14/5 and q.
30
Let z(v) = v**2 - 6*v - 1. Let y(s) = -3*s + 7. Let j be y(0). What is the least common multiple of 1 and z(j)?
6
Let p = 2049/2 + -1055. What is the common denominator of -9/10 and p?
10
Suppose 60 = i + 2*i. Suppose 5*t = 3*z + 13 - 1, -5*z + 4*t - i = 0. Find the common denominator of (z/(-8))/(12/(-166)) and -139/18.
36
Let n = -1/787 - -5531/17314. Find the common denominator of n and 79/18.
198
Let j(a) = 10*a**2 - 6*a + 11. Let p(f) = -19*f**2 + 12*f - 21. Let y(v) = -11*j(v) - 6*p(v). Calculate the lowest common multiple of y(2) and 6.
18
Let h be (-2)/((-7)/((-63)/(-6))). Suppose 5*w + 3 = h*x + 29, -3*x = 4*w - 10. What is the least common multiple of 3/(-1) - -3*2 and w?
12
Suppose 3*p - w = -16, 0 = -p - 2*p + 3*w - 6. Let v be 3 - (0 + 0 + p). Calculate the common denominator of (-161)/12 - v/(-15) and 31/3.
12
Calculate the smallest common multiple of 56 and (-21)/((42/8)/(-21)).
168
Suppose 2*m = -5*w + 21, -w + 15 = 11*m - 7*m. Let c(s) = s**3 - 3*s**2 - 3*s - 4. Let d be c(4). Let k = d + 5. Calculate the least common multiple of k and w.
15
Let c(f) = -f**3 - f**2 + 7*f - 4. What is the least common multiple of 112 and c(-4)?
112
Suppose -2*m - 32 - 4 = 0. What is the least common multiple of 28/126 - 122/m and 4?
28
Suppose -3*l + 18 = 2*a, 3*a - 8*a + 3*l = -3. What is the least common multiple of 11 and a?
33
Let h be (-951)/21 + (-2)/(-7). Let i be ((-14)/(-21))/(6/h). Calculate the common denominator of (-515)/(-50) - (-3)/i and 109/40.
40
Let o(z) = -z + 1. Let r(f) = -3*f + 8. Let u(c) = -6*o(c) + r(c). Let y = 32 + -30. Calculate the lowest common multiple of u(y) and 17.
136
Let z = -182879/301920 - 31/2720. What is the common denominator of 38/481 and z?
2886
Let w = -1446 + 1527. Calculate the lowest common multiple of w and 3.
81
Suppose k - 1 = -k - j, -3*k + 19 = -2*j. Let z be 83/2 + 3/2. Let t = z + -33. Calculate the least common multiple of k and t.
30
Find the common denominator of (-73 - 0)/(-24 - 6) and -95/48.
240
Let z = 3769/130 + -399/13. What is the common denominator of -93/2 and z?
10
Let m be (-116)/145*-695*1. Suppose 3*x + 5*r = 415, -4*x - 3*r + m = r. What is the least common multiple of x and 20?
140
Let g = -116843 - -1165275238/9973. Let a = 1186767/199460 - g. Calculate the common denominator of a and -99/10.
20
Suppose 0 = -5*d + 20, -s = 5*d - 19 - 6. Suppose t - 2*c - 62 = 0, 3 - 313 = -s*t + 5*c. Calculate the lowest common multiple of 20 and t.
620
Let u be 0 - (2 + 10)/3. Let y be (0 + 0)*2/u. Suppose 0 = 4*h - w - 34, y*h - 17 = -h - 4*w. What is the smallest common multiple of h and 5?
45
Suppose -3*k = -c - 5, -3*k - 4*c + 25 = -0*c. Suppose 0 = j - t - 8, 7 = k*t - 2. What is the smallest common multiple of j and 9?
99
Let m(x) = 8*x - 2. Let l(j) = -3 - 4*j + 5 - 3*j. Let o(u) = -7*l(u) - 6*m(u). What is the least common multiple of o(13) and 6?
66
Suppose 4*r + r - 10 = 0. Suppose -32*n + 208 = 80. What is the lowest common multiple of r and n?
4
Suppose -5*l - 5*r - 40 = 0, -2*r + 8 = -2*l - 2*l. What is the least common multiple of 57/(-19)*l/6 and 6?
6
Suppose 16 + 9 = 5*f, -5*f = 2*y - 41. Calculate the lowest common multiple of y and 512.
512
Suppose -5*i = 2*v + 1834, -5*v - 5*i - 3803 = 782. Let c = v - -1367. What is the common denominator of 3 + (c/8)/(-3) and -34/9?
36
What is the common denominator of 75/154 and -4 - 226/(-140) - -4?
770
What is the smallest common multiple of 14 - ((-3)/(-15) + 42/(-10)) and 12?
36
Let d be 3 + ((-1046802)/(-32) - -2). Let u = d + -9752587/176. Let p = u + 22690. Calculate the common denominator of p and -25/8.
88
Let f = 4/35 + -2479/560. What is the common denominator of 37/88 and f?
176
Let u be (-1)/3 - 920/(-60). Calculate the common denominator of 44/9 and 9/6 - u/(-12).
36
Suppose p + 4*p = 2*c + 29, 9 = -2*c + p. Suppose -4*h = -20, -3*j + 5*h + 6 = -11. Calculate the common denominator of -119/12 and (c/j)/(18/207).
84
Let z = -175680 + 47433541/270. What is the common denominator of 73/240 and z?
2160
Let x be (306/(-24))/((-6)/16). Let u = x + -12. Let q = -21857/16 - -1367. Find the common denominator of u and q.
16
Let c be 694/(-360) + 4 - 2. Let b = c + -1291/1260. Let h = 7069/6 - 1160. What is the common denominator of h and b?
42
Calculate the common denominator of (-990)/(-900) - 8/(-5) and (-820)/(-33) + (-2)/11.
30
Let h(r) = r**2 + 48*r - 200. What is the lowest common multiple of 172 and h(-52)?
344
Let u(z) = 7*z + 6 + 5*z**2 + z**2 - 2*z**2 - 3*z**2. Let a be u(-7). Suppose 3*w = w + a. What is the least common multiple of 4 and w?
12
Let q = -7571/4 - -1909. What is the common denominator of (15/9)/((-224)/(-399)) and q?
32
Suppose 5*u + 4*r - 391 = 0, -2*r - 3*r = 5. Let g = 115 - u. Suppose t - 40 = -g. Calculate the smallest common multiple of t and 12.
12
Let u be -1 - (-1)/1 - -3. Suppose 2*g + 2*w - 8 = 0, 3*g - u*w = -2*g + 4. Calculate the lowest common multiple of g and 9.
18
Suppose -4*a - 2*f + 32 = -0*f, 3*a - 13 = 4*f. What is the smallest common multiple of (a - 19)*(-6)/9 and 1?
8
Let o = 8241/4 - 2047. Let k = -115/31 - 2867/372. Calculate the common denominator of k and o.
12
Let f be ((-6)/15)/(4/(-50)). Let w(z) = z**2 - 3*z + 8. Suppose 3*m - 5 = 4*m, 51 = c - 5*m. What is the least common multiple of c and w(f)?
234
What is the smallest common multiple of 114 and -10 + 9770/60 + (-5)/6?
456
Let n = -483 + 547. What is the lowest common multiple of 176 and n?
704
Suppose 2*a = -3*t + 83, -4*t - t = a - 136. Suppose -t*s = -31*s + 28. Calculate the least common multiple of 5 and s.
35
Let o = -78538 - -397167/5. Let k = o + -8833/10. Calculate the common denominator of k and ((-6)/40)/((-2)/(-155)).
40
Let w = 10823/16 + -677. Calculate the common denominator of (-1922)/2212 - 32/(-56) and w.
1264
Let r = 18256099/180 - 101422. Find the common denominator of 37/10 and r.
180
Let f = -46362 + 1668899/36. What is the common denominator of -55/27 and f?
108
Let q = -45646 + 28848291/632. Find the common denominator of 103/12 and q.
1896
Let o = -3153/4 - -794. Find the common denominator of o and -81/40.
40
Find the common denominator of (2/102)/(((-44)/(-165))/(-4)) and (-120)/(-21) - 4/2.
119
Let l be -4*(2/2 + -11). Suppose -l = -5*x - 15. Suppose -29 = -x*s + 16. Calculate the lowest common multiple of 7 and s.
63
Let n = 2013/2 - 1015. Find the common denominator of 1/219 and n.
438
Suppose 11 = f - 2*n, 24 + 19 = 5*f - 4*n. Suppose 0*x + 30 = 3*x. Suppose -f*y = -x*y + 36. Calculate the smallest common multiple of 10 and y.
60
Let a = -37439917/225 + 166400. Calculate the common denominator of a and -79/15.
225
Suppose 40 - 85 = -5*y. What is the lowest common multiple of 16 - ((2 - -1) + 1) and y?
36
Let u = 133904751/56 + -2391091. Let x = 442/7 - u. Calculate the common denominator of ((-2294)/120)/37*9 and x.
40
Let p(g) = 9*g + 9. Calculate the smallest common multiple of p(3) and 12.
36
Suppose 4*l + 0*l = 3*l. Calculate the common denominator of 42/(-2) - l/(-3) and 5/60*(2 - 36).
6
Suppose 5*p + a = 320, 0*p + 192 = 3*p + a. Let r = 77 - p. What is the smallest common multiple of r and 4?
52
Let a(z) = 5*z**2 + 8*z + 8. Let o(w) = 4*w**2 + 7*w + 8. Let t(g) = 5*a(g) - 6*o(g). Calculate the lowest common multiple of t(5) and 6.
42
Let i(j) = j**2 + 6*j + 4. Let l be i(-6). Suppose 0 = t - 4 - l. What is the least common multiple of 6 and 2*(-9)/((-9)/t)?
48
Let c(u) = 18*u + 132. What is the least common multiple of 94 and c(-6)?
1128
Suppose 7*w + 54 = -23. What is the common denominator of ((-1)/12)/(((-231)/1834)/w) and -25/21?
126
Suppose 5*h + 4*s + 230 = 0, 0 = -3*s - 2 + 17. Let f be 50/(-1)*18/12. Calculate the common denominator of -97/22 and (f/4)/(45