6
Let z be 10850/(-4140) + (3/(-5))/(-3). Let i = -73/115 + z. Find the common denominator of -109/12 and i.
36
Suppose -2*t = -5*g - 8, -3*g - t = -4*g - 4. Suppose -4*v + w + 40 = g, v + 2 + 1 = -3*w. What is the lowest common multiple of -4 - 1 - (-4 + 4 + -21) and v?
144
Let p = -203 - -209. What is the smallest common multiple of 6 and p?
6
Let t = -5 + 27. Suppose 37 - 46 = 3*s. Let a(h) = -10*h - 10. Calculate the smallest common multiple of t and a(s).
220
What is the common denominator of ((-14)/1260)/((-1)/(-188)) and 28?
45
Let f(b) = b**2 + 8*b - 6. Let y be f(-9). Suppose a + 48 = -y. Let i = -19 - a. Calculate the smallest common multiple of i and 4.
32
Suppose -4*d = -0*r - 4*r + 84, -38 = -2*r - 2*d. Suppose 5*w - 52 = -3*n + 4, 2*w = n - 4. What is the lowest common multiple of n and r?
60
Let f = -16005/5552 + -19/347. Find the common denominator of f and -67/24.
48
Let x be 300/78 + 4/26. Let z be (-311306)/(-140) - x/(-14). Let w = 2221 - z. Calculate the common denominator of w and 57/8.
40
Find the common denominator of 2/((91/13)/((-55)/(-2))) and 56/3.
21
Let n(q) = -q. Let v(k) = -16*k + 8. Let w be (-10)/1*18/(-15). Let u(r) = w*n(r) - v(r). Calculate the smallest common multiple of 2 and u(4).
8
What is the common denominator of ((-22)/(-12))/((-36)/24) - 5 and 94/15?
45
Let k = -748 + 784. What is the lowest common multiple of 504 and k?
504
Suppose -1037 = -16*s + 51. Calculate the least common multiple of 8 and s.
136
Let j = -7/1252 - -36553/43820. What is the common denominator of j and 109/20?
140
Let q be (-2)/(-14) - 48/(-7). Suppose -3*d + q*d - 8 = 0. What is the common denominator of (d/((-6)/147))/8 and 59/14?
56
Suppose 12*g + 1363 = 13*g. Let p = 2795/2 - g. Calculate the common denominator of p and 57/8.
8
Let m = -203429/6458 + 1/3229. Let x = -5139/5 - -1023. What is the common denominator of x and m?
10
Suppose 33*n + 17*n + 50 = 0. Let i = 6769283/140 + -48353. What is the common denominator of n and i?
140
Let v = -1201 + 1253. What is the least common multiple of v and 26?
52
Let v = -6 + 10. What is the common denominator of -99/40 and v - (-7 - -3 - 301/84)?
120
Suppose 5*m = 63 + 57. Let f = -39215/36 - -9902/9. Calculate the common denominator of 8/(-20)*(-250)/m and f.
12
Let z = 21 - 18. Suppose 3 = z*s - 2*s. Calculate the least common multiple of s and 7.
21
Let z = -37973/10148 - -375/118. What is the common denominator of 23 and z?
172
Let l = 33 - 29. Find the common denominator of (-183)/(-180) + l/10 and 31/20.
60
Let c = -1460/13 - -1406/13. Let g = 138/35 - 2362/315. Calculate the common denominator of c and g.
117
Let o(g) = -2*g**3 - 31*g**2 + 14*g + 16. Calculate the lowest common multiple of 6 and o(-16).
48
Suppose 3*c = c + 6. Suppose 2*q = -z + 4*z + 4, -4*z = 3*q - 40. Calculate the lowest common multiple of c and q.
24
Let t = 28/9 - -92/63. Find the common denominator of -21/8 and t.
56
Suppose 0 = -5*d + 3*y + 10, -d - 4*y + 2 = -y. Suppose 3*x = 7 - 1. Calculate the common denominator of -71/16 and x + (d - (-123)/(-8)).
16
Let o = -4871183/101 - -48230. Find the common denominator of o and -113/10.
1010
Calculate the common denominator of -4 + (-7)/(-441)*291 and 91/4.
84
Suppose -3*a = 16*q - 13*q - 9, -16 = -4*a - 2*q. Calculate the smallest common multiple of 4 and a.
20
Let h be 1/12*(-3)/259. Let b = -27459/5180 - h. What is the common denominator of ((-186)/10)/((-7)/(70/(-16))) and b?
40
Let r = -5119 + 41029/8. Calculate the common denominator of r and -9/22.
88
Suppose -3*t + 2*u = u + 116, 2*t = -2*u - 88. Let b = -28 - t. What is the smallest common multiple of b and 38?
228
Let v = -8741/2 - -4198. Let m = v + 184. Calculate the common denominator of 43/6 and m.
6
Let k(b) = 4*b**2 - 27*b + 17. What is the least common multiple of k(7) and 48?
48
Let t(f) = 67*f - 2. Let o be t(2). What is the smallest common multiple of (166 - -2)/4*6/18 and (-4)/14 - o/(-21)?
42
Let n(u) = u**3 + 5*u**2 + 40. Calculate the smallest common multiple of n(-6) and 142.
284
Suppose -68 = -4*o + 164. Suppose -m - o + 218 = 0. Calculate the common denominator of 3 + (-7)/(308/m) and -56/11.
11
Calculate the common denominator of 3 - 148/48 - 374/3344 and -115/12.
456
Suppose 0 = -14*r + 16*r - 90. Calculate the smallest common multiple of r/10*((-7)/(-3) + -1) and 21.
42
Let o = -910453 + 7269813/8. Let r = o + 1716. Calculate the common denominator of -45/8 and r.
8
What is the least common multiple of 11/((-6)/144*-3) and 24?
264
Let l(j) = j**3 + 16*j**2 - 31*j - 6. What is the lowest common multiple of l(-17) and 4?
232
Suppose 5*r - 3*p - 123 = 0, -19*r + 25 = -18*r - p. What is the lowest common multiple of r and (36/15)/(2/30)?
72
Suppose 3*f - 16 - 20 = 0. Let t = -6633 - -6645. What is the least common multiple of t and f?
12
Let v = 4 - 2. Let s(f) = f**2 + 8*f - 6. Let h be s(-9). Suppose v*c = h*t - 7, -c = c - 5*t + 17. What is the least common multiple of c and 4?
4
Let u = -92 - -105. Suppose 3*k + 5*j - 31 = 0, 3 = k - 0*k - 2*j. What is the least common multiple of u and k?
91
Let u = 199427/521080 + -134/1861. What is the common denominator of u and 73/4?
280
Let y = -397585/24 - -16561. What is the common denominator of y and 15/2?
24
Suppose 0 = r - 3*g - g - 6, 0 = 3*r + 3*g - 18. Suppose 0*f + r = 3*f. Calculate the least common multiple of 4 and f.
4
Let k be -1680 + 1/(1/4). Let l = k + 6623/4. Let x = -6673 + 39925/6. Find the common denominator of l and x.
12
Let o be (5 - (-66)/(-15))/((-3)/(-15)). Let x = 5 + -1. Suppose -x*g + o = -77. Calculate the lowest common multiple of 2 and g.
20
Calculate the common denominator of (-8)/(-3) - (1 + -5) - -2 and 12/29.
87
Let l be (254668/(-12))/((-8)/6). Let o = l - 6686333/420. Let b = -214/21 - o. Find the common denominator of b and 9/10.
10
Suppose -r + 5*w = -3, -1 - 2 = w. Let q = 29 + -21. Calculate the least common multiple of (-2*(-6)/9)/((-2)/r) and q.
8
Let p be 16/20*405/6. Suppose -9*v = -p - 144. What is the lowest common multiple of 2/6 + (-23)/(-3) and v?
88
Let y(m) = -m**2 - 6*m + 4. Let j be y(-12). What is the common denominator of (-85)/(-28) + 17/j and -49/26?
182
Calculate the lowest common multiple of 116 and ((18 - -6)/(-6))/(9/(-9)).
116
Let s(p) = -30*p - 16 + 0*p**2 + 19*p - p**2. Calculate the lowest common multiple of 22 and s(-9).
22
Suppose -1 = -2*o + 5*r, 0 = -o + r - 5*r + 7. Let i be (2 - 1) + 3/o. Suppose -2*x + 24 = i*x. What is the lowest common multiple of 22 and x?
66
Let a(p) = -p**2 + p - 9. Let h be a(0). Let v = 1 - h. Let g(m) = m + 29. What is the least common multiple of v and g(-19)?
10
Let k be (2 - 2262)*(-26)/4008. Let z = 1/167 + k. Let c = -57679/11 - -5248. Calculate the common denominator of c and z.
33
Let r be (-64)/(-24) - 2/3. Let z(i) = 3 + 4*i + 5*i - r*i**2 + 3*i**2. Find the common denominator of 41/10 and z(-10).
10
Let w be 26 + 0 - (2 - 0). Let o be 28/3 - 4/3. Suppose o*a = 4*a + w. What is the lowest common multiple of 8 and a?
24
Calculate the least common multiple of 393 and ((-6)/(-8))/((-16)/(-7680)*12).
3930
Let v(c) = -95*c - 748. Calculate the lowest common multiple of 1008 and v(-8).
1008
Let v = 9823/1998 - 136/37. What is the common denominator of v and 133/6?
54
Let q(f) = 3*f + 4. Let s be q(-7). Let o = 0 - -4. What is the least common multiple of (1/6*-2)/(s/51) and o?
4
Let z = -4372199/132 - -33123. Find the common denominator of z and 1/240.
2640
Suppose -10*t - 28 = -14*t. Suppose 0 = -11*u + t*u - 30904. Let l = u + 123687/16. What is the common denominator of 87/20 and l?
80
Suppose 12 = -2*g + g + 3*y, -2*y + 10 = 0. Let v = g - -1. Suppose -s + v*s - 2*q - 20 = 0, -2*q - 30 = -4*s. What is the smallest common multiple of s and 20?
20
Find the common denominator of (-1950)/252 - ((-21)/(-9) + -3) and 25/316.
2212
Let v = 12 - 14. Let j be (138/3)/(v/(-3)). Calculate the common denominator of 1/14 and 6*j/12 - -4.
14
Let u(v) = -2*v**3 - v**2 + 2*v - 4. Let g be u(-2). Suppose -f + 4*i - 5*i = -17, 0 = 2*f + g*i - 32. What is the least common multiple of f and 10?
90
Suppose 3*w = -5*u + 141, 5*u + 17*w - 16*w = 147. Calculate the smallest common multiple of 18 and u.
90
Find the common denominator of -7 - ((-196)/(-1