3*f = -5*n + 30, 4*f - 7 = -3*n. Calculate the lowest common multiple of g and n.
90
Suppose 4*l + 4*p + 408 = 0, -2*l - 90 = 4*p + 124. Let a = l + 174. Calculate the common denominator of -65/2 and ((-21)/a)/(6/(-100)).
22
Suppose g = 5*f - 0*g + 80, 48 = -3*f + 3*g. What is the common denominator of (370/f)/5*1 and 29/4?
8
Let h = -1778 - -19614/11. Let y = -31835/11 - -2899. Find the common denominator of y and h.
11
Suppose 3*r - 119 = -3*z + 10, 39 = z + 3*r. Calculate the least common multiple of z and 10.
90
Suppose 3*d = 4*h + 66, 3*d - 2*h = -40 + 100. Calculate the smallest common multiple of 30 and d.
90
Let v = -49 - -58. What is the lowest common multiple of 1 and v?
9
Suppose 3*m = 3*p + 2*p + 1, 2*m - p = 3. Calculate the least common multiple of 10 and m/(-8) + 356/16.
110
Suppose 5*q = -3*g + 12, -6 - 7 = -4*q + g. Find the common denominator of -37/9 and (-425)/30 - q*1.
18
Let m be (-729)/(-130) - 4/(-20). Let x = 47505/8164 - m. Let d = x - 13987/1256. Find the common denominator of d and 24/5.
40
Let x = 2 + 9. Let v = 22 - x. What is the lowest common multiple of v and 7?
77
Let v = 218277/16 + -13647. Calculate the common denominator of 17/38 and v.
304
Suppose 2*v + 216 = -0*o + 5*o, 0 = v + 3. Suppose 8*i = 5*i + 105. What is the least common multiple of 2 and o/i*(-10)/(-3)?
4
Let t = -379855801/2367108 + 20/65753. Let n = 1511/9 + t. Find the common denominator of n and -35/16.
48
Let j(n) = -n**2 - 7*n + 4. What is the least common multiple of 50 and j(-4)?
400
Let m = 5 + -1. Suppose 3*f = -5*z + 42 + 23, -5*z = -m*f + 145. Find the common denominator of f/(-11)*2/(-6) and 101/8.
88
Let w = -10 + 13. Suppose 5*z = w*z + 2. Suppose 6*o = h + 4*o - 9, -3*h = -o - 12. What is the smallest common multiple of z and h?
3
Suppose -j + 8 = 3*j. Let l = -5 - -9. What is the lowest common multiple of l and j?
4
Suppose -3*l - 45 = -4*x, 0 = 3*x + 2*l - 1 - 37. Let f be (9/2)/(x/(-32)). Calculate the common denominator of 31/18 and 0 + 1/(f/243).
36
Let h be (-760)/(-6) + 2/(-3). Suppose 7*y = -1 - 13. What is the common denominator of 17/6 and (h/33 - 1) + y?
66
Suppose -d = d + 132. Let w = 397/6 + d. Find the common denominator of w and -107/20.
60
Suppose 5 = -3*g + 17. Calculate the smallest common multiple of 4 and g.
4
Let l be 2/6 + 141/9. Let f = 8 - 4. Suppose -8*z + f*z + l = 0. Calculate the least common multiple of 4 and z.
4
Suppose -2*i - 5*f = -20 - 19, -f + 43 = 2*i. Calculate the lowest common multiple of 11 and i.
22
Let w = 896 - 3639/4. Find the common denominator of 29/16 and w.
16
What is the lowest common multiple of (-378)/72*3/(18/(-40)) and 25?
175
Suppose 28 = k + 3*q, -q = 2*k - 0*q - 31. Suppose -4*r - k = -h - 0*h, 3*r = -6. What is the least common multiple of 1 and h?
5
Suppose -28 = -0*b - b. Suppose 0*x + 3*n = x - b, 5*x - n - 84 = 0. What is the least common multiple of 10 and x?
80
Let b(n) = n**3 - 5*n**2 - 3*n - 3. Let w be b(5). What is the smallest common multiple of 22 and w/(-3 - -4)*-1?
198
Let r = 593619/10686440 - 3/24680. Let k = r - 21866/3897. What is the common denominator of 65/2 and k?
18
Let u = -7 + 13. Let f be (-2)/u + (-584)/(-6). Let a = f - 391/4. Find the common denominator of 22/5 and a.
20
Let s(x) = 3*x**3 + 3*x**2 + 3*x + 1. Suppose 8*o - 6*o + 4 = 0. Let c = 8686/9 + -968. What is the common denominator of s(o) and c?
9
Suppose o + 0*o - 19 = -4*j, -2*o = -3*j + 6. Suppose 0*y + 3 = o*y. Suppose 6 - y = 5*w. What is the lowest common multiple of w and 7?
7
Let s = 18 + -8. What is the smallest common multiple of s and 114?
570
Let f = 1868 - 46721/25. Calculate the common denominator of f and 91/10.
50
Let n(o) = -o**2 - o - 4. Let f be n(0). Let s be f/(1/(-1))*1. Suppose w - 5 = -s*t + 5*t, -w + 3*t = 5. Calculate the least common multiple of w and 10.
10
Let z(u) = u**3 - u**2 - u + 2. Calculate the least common multiple of 6 and z(0).
6
Let m = 274 + -157. Calculate the common denominator of 15/22 and (-1)/(-1) + m/(-24).
88
Let g = -3 + 5. Let h be (5/(-20))/(g/(-1654)). Let q = 216 - h. What is the common denominator of -101/8 and q?
8
Let y(q) = 62*q**2 - 1. What is the smallest common multiple of y(-1) and 9?
549
Suppose 3*n - 7*n + 12 = 0. Suppose 0*x + 112 = 5*v - x, 4*v = n*x + 94. What is the least common multiple of 4 and v?
44
Let d(l) = -l**2 - 8*l + 6. Calculate the least common multiple of 14 and d(-8).
42
Let t = 19051/8 - 2376. What is the common denominator of t and 36?
8
Calculate the common denominator of (-10)/15 + (-836)/(-120) and 32/11.
110
Let s = -1 - 12. Let r = -6 - s. What is the least common multiple of 5 and r?
35
Let s = 49 + -31. Suppose 5*x - 69 = -y, -2*x = 3*x - 2*y - 72. Calculate the lowest common multiple of x and s.
126
Find the common denominator of -109/20 and ((-2)/(-48))/((-3)/642).
60
Suppose 4*s - 12*s + 80 = 0. Calculate the least common multiple of s and 4.
20
Suppose -2*i + 9 = -i. Let v = 175/18 - i. Find the common denominator of 73/20 and v.
180
Suppose 7*b - 399 + 147 = 0. Calculate the least common multiple of b and 18.
36
Let x be 17*(26286/(-13180))/(-3). Let w = 1/659 - x. Calculate the common denominator of w and -81/8.
40
Let g be 2/7 - 90/21. Suppose 0*z + 10 = z. Calculate the smallest common multiple of 15/2 - (-2)/g and z.
70
Let b be (-6637)/(-2) + (-1)/2. Let w be 2150565/b*(-6)/(-550). Let l = w + 3/4345. Find the common denominator of l and -145/6.
42
Suppose -i = -7 + 3. Suppose 36 = 5*k - 2*k. What is the lowest common multiple of k and i?
12
Let s be -1 - (-2)/((-84)/338223). Let l = s - -8048. Let r = -38523/10 - -3849. Calculate the common denominator of l and r.
70
Calculate the common denominator of (-1 - (-18)/14) + 4 and 10/(-35) + 316/(-21).
21
Suppose 0 = 16*g - 14*g - 10. Let a(o) = -o. Let w be a(1). Let m = w + g. Calculate the least common multiple of 14 and m.
28
Suppose 0 = -n + 2*n + 5. Calculate the common denominator of 2 - n/((-360)/388) and (-2)/(-40)*46*3.
90
Find the common denominator of -48/7 and (-2)/((-16)/(-53)) + 1.
56
Let s be (-2)/8 - (-580)/16. What is the common denominator of (-6)/27 - (-221)/s and -39/20?
60
Suppose -3*k - 2*k = -y - 136, 0 = -3*y + 12. Find the common denominator of (-4)/6*(-63)/40 and 115/(-3)*6/k.
140
Let s(c) = -4*c - 6. Calculate the least common multiple of (8/(-10))/((-1)/20) and s(-5).
112
What is the common denominator of (-2025)/693 + (-2)/(-7) and 20/9?
99
Suppose 5*v + 2*l - 110 = 0, -2*l - l - 87 = -3*v. Calculate the lowest common multiple of v and 24.
24
Calculate the common denominator of -3/4 and (-8)/(-56) - 194/(-308).
44
Let b = 3199 + -25653/8. What is the common denominator of 77/4 and b?
8
Let h(p) = -p**3 + 3*p**2 + 3*p + 2. Let x be h(4). Let a be 1 + (-3 - x) - 14. Calculate the smallest common multiple of (-4)/a - 384/(-28) and 18.
126
Suppose 0 = 4*s - 29 + 1. What is the lowest common multiple of s and 2?
14
Let v(x) = -3*x + 2. What is the least common multiple of 1 and v(-3)?
11
Let b be 4/(-6)*6*-1. What is the common denominator of ((-177)/24*2)/b and -37/8?
16
Let w(r) = -r**2 - 6*r + 2. Let k be w(-6). Suppose k*m + 30 = 5*m. Find the common denominator of (-196)/m - (-4)/(-10) and 51/8.
8
Let b = -49 - -60. What is the smallest common multiple of 8 and b?
88
Let k(t) = 9*t**2 - 9*t + 6. Let i be k(6). Let q = i - 581/2. Let h = -6884/11 - -625. Find the common denominator of q and h.
22
Let s be 6126/(-4) + (-2)/4. Let a = 16 - 26. Calculate the common denominator of s/320 + 4/a and 41/16.
16
Calculate the common denominator of 61/16 and ((-3)/6)/((-62)/150).
496
Suppose -32 = 5*j - 9*j. What is the smallest common multiple of 2 and j?
8
Let l(n) = 8*n - 1. Let f(a) = a**2 + a - 1. Let c(y) = 5*f(y) - l(y). Let k be c(-4). Calculate the common denominator of 131/6 and k/(-6) - 1 - 0.
6
Suppose i = 4*q + 17 + 4, -14 = -4*i + 2*q. Suppose i + 0 = -t. What is the smallest common multiple of 2 and 34/8 + t/4?
4
Let y be 4/18*(-12)/(-2716). Let o = -185363/4074 - y. Calculate the common denominator of o and -87/20.
20
What is the smallest common multiple of 18 and -24*-1*(36/8 - 3)?
36
Let s be (-3)/(1*(-3)/(-76)). What is the common denominator of (21/35)/((-6)/s) and 17/7?
35
Suppose 2*s - 2 = -o + 5*o,