Let v be a(8). Suppose 5*g = 3*r - 145, 4*r - 5*g + 0*g - 195 = v. Find the common denominator of -45 and r.
1
Let q(z) = 9*z**2 + 6*z. Let n(t) = 4*t**2 + 3*t. Let p(k) = -5*n(k) + 3*q(k). Suppose 2*d = 4*d + 4. Calculate the smallest common multiple of p(d) and 4.
44
Let u(t) = -9 + 3 + 10*t**2 - 2*t**3 - 5*t + t**3. Calculate the lowest common multiple of u(9) and 18.
90
Let c = -572 - -1131. Let u = c + -1091/2. Calculate the common denominator of (-82)/16 - (0 + 0) and u.
8
Let v(c) = c**3 - 6*c**2 + 7*c - 10. Let j be v(5). Let x = -189 - -953/5. What is the common denominator of x and 39/(-15) - (3 + j)?
5
Let l = -8182 + 130967/16. What is the common denominator of (26/(-8))/((-33)/(-42)) and l?
176
Let q = -2 - -4. Suppose -6 = -2*j + q. What is the lowest common multiple of 1 and j?
4
Suppose 3*i + i = -16. Calculate the lowest common multiple of (-30)/(-1)*2/3 and i/(5/((-110)/4)).
220
Let k = -57 + 269/4. What is the common denominator of 43/14 and k?
28
Suppose -3 + 0 = r, -2*r - 6 = v. Let w be -5 + 0 - (0 - v). Let u = w + 8. What is the lowest common multiple of 7 and u?
21
Let n = -6359537/6 - -1057020. Let w = 3178 + -268. Let i = w + n. Find the common denominator of 37/8 and i.
24
Suppose -4*n + 2 - 6 = 0. What is the smallest common multiple of 1 - n - 0/8 and 5?
10
Suppose -5*z - 5*i = -65, -z = -2*z - 5*i + 25. Calculate the smallest common multiple of z and 2.
10
Let a = 370/39 - 210/13. What is the common denominator of -71/28 and a?
84
Calculate the common denominator of 6/24 + 54/4 and 33/10.
20
Calculate the common denominator of -3/8 and (-1)/(-4) - (5 - 113/68).
136
Let o = -281/372 - 5/31. Calculate the common denominator of o and -89/4.
12
Let u(l) = l**3 - 3*l + 4. Let d = -20 + 30. Calculate the least common multiple of u(3) and d.
110
Find the common denominator of -101/6 and 12/16 - (-18)/(0 + 1).
12
Let l = -4474659 - -89375043/20. Let i = 5905 + l. Find the common denominator of i and 43/6.
60
Let k = -1187/5 + 6607/30. Calculate the common denominator of 1/21 and k.
42
Suppose -4*w + 36 = 5*x, -13 - 7 = -4*w - x. What is the smallest common multiple of w and 74?
148
Let u be 8339036/616 + 2/(-11). Let s = u + -13529. What is the common denominator of -101/12 and s?
84
Suppose -4*d + 0*d + 20 = 0, 0 = -4*p - 3*d + 31. What is the lowest common multiple of p and 20?
20
Suppose 0 = w - 2*s - 31, 11*w - 90 = 6*w - 3*s. Calculate the smallest common multiple of w and 15.
105
Let n = 4 + 2. Suppose -9 = 5*k + n. Let q = 6 + k. What is the lowest common multiple of q and 10?
30
Suppose -4*b + 72 = -0*b. Calculate the least common multiple of b and 6.
18
Suppose 0 = -0*t - 2*t + 10. Let i(c) = c**2 - 3*c - 3. Let b(z) = -z**2 - 6*z + 5. Let a be b(-6). Calculate the lowest common multiple of i(a) and t.
35
Let n = 1275977/200 - 1719/25. Let g = -6302 + n. What is the common denominator of g and (-2)/(-4)*(-37)/(-2)?
8
Let r be (-3)/6 + (-2)/(-4). Suppose 88 = -r*y + 4*y. Calculate the least common multiple of 12 and y.
132
Let c = 157/6 - 23. Let z = 504 + -181. Calculate the common denominator of (-4)/(-6) - z/48 and c.
48
Suppose -4*p - 2*q + 7*q + 13 = 0, 7 = 2*p - 3*q. Calculate the least common multiple of 14 and p.
14
Suppose -5 = -j + i, 2*j - j + 11 = 5*i. Let n = 38 - 55. Let b = -10 - n. Calculate the smallest common multiple of b and j.
63
Suppose -5*l - 5 = -y, 3*y - 2*l = 4 - 2. Let m = y + 18. What is the least common multiple of m and 16?
144
Let u(l) = -l**2 + 10*l - 5. Calculate the smallest common multiple of 54/15 + 2/5 and u(7).
16
Let h(k) = -12*k + 4. Let r(u) = -u**2 - 8*u + 17. Let j be r(-10). Calculate the lowest common multiple of h(j) and 2.
40
Let v = 4144 + -99425/24. Calculate the common denominator of v and -97/36.
72
Let a(f) = -2*f - 4. Let h(u) = u**3 + 8*u**2 + u - 2. Let y be h(-8). Let v be (-6)/(-15) + 104/y. What is the smallest common multiple of a(v) and 12?
48
What is the least common multiple of (-2 - -2) + (-3 - -9) and 20?
60
Suppose -3*g + 2 = -13. Let c(r) = r**2 - 3*r - 15. Calculate the lowest common multiple of g and c(6).
15
Suppose -11*n = 6*n - 816. Calculate the lowest common multiple of 15 and n.
240
Let o be 12/6 + (-24)/1. Find the common denominator of (-13)/o - (-5)/(-10) and 1/2*(-24)/(-10).
55
Let r = 17 + -1. Let k(m) = 7*m**3 - 2*m**2 + 2*m - 2. What is the lowest common multiple of k(2) and r?
400
Let m(q) = -q**3 - 4*q**2 + 4*q - 6. Let d be m(-5). What is the least common multiple of 8 and -33*(0 - d/(-3))?
88
Let q = 2 + 0. Let n be (-2)/(-3)*9/q. Suppose -n*r = f, -f + 0*f + r + 8 = 0. What is the smallest common multiple of 14 and f?
42
Let n be (-4)/14 + (-195)/(-21). Suppose 0 = 4*g - n*g + 60. Find the common denominator of -46/5 and ((-64)/(-18))/((-8)/g).
15
Suppose -132 = -10*m + 148. What is the smallest common multiple of m and 8?
56
Suppose -5*x + 3*x = s + 1, 2*s + 5 = -x. Suppose z - 380 = -4*v, v = -v + 3*z + 176. What is the common denominator of -103/20 and -2 + v*s/(-48)?
40
Let g = -669/4 - -168. Find the common denominator of g and 93/22.
44
Let y(v) = v**2 - 1. Let r be y(3). Let u = r - 3. Calculate the smallest common multiple of u and 2.
10
Calculate the common denominator of 1296/40*2/16 and 47/14.
140
Let g = 34 + -22. What is the least common multiple of g and 20?
60
Calculate the smallest common multiple of 8/((-8)/(-48) + (-2)/(-6)) and 16.
16
Let c(o) = o**3 - 2*o**2 - 5*o - 2. Let t(y) = 3*y - 4. Calculate the smallest common multiple of t(6) and c(4).
70
Let d(q) = -4*q**2 + 4*q + 8 + 0*q + 2*q**2. Let f be d(-7). Calculate the common denominator of 85/8 and 1 - (0 + f/24).
24
Let h be (-14)/(-10) - (-6)/(-15). Let b = -77357/17936 + 1/2242. What is the common denominator of b and h*-2*(-105)/(-220)?
176
Suppose 2*b + 5*q = 97, 5*b - 3*b + q = 117. Let k(w) = -41*w. Let z be k(1). Let i = z + b. Calculate the lowest common multiple of i and 22.
220
Let n = -6 + -6. Calculate the smallest common multiple of 10 and (-3)/n + 284/16.
90
Find the common denominator of -89/10 and (10/25)/((-2)/(-124)*-4).
10
Suppose -3*h + 2*d = -0*h - 50, -5*h = 5*d - 50. Calculate the least common multiple of 2 and h.
14
Let w be (-8088)/(-1694) + 12/66. Let v = -12/121 + w. Calculate the common denominator of -43 and v.
7
Let y(n) = -4*n + 5. Let g(u) = -u + 1. Let f(v) = g(v) - y(v). Let b be 1/3 - (-22)/6. Calculate the lowest common multiple of 8 and f(b).
8
Let b = 4/43 + 214/473. Calculate the common denominator of 6 and b.
11
Suppose -n = -1 + 2. Let h = n + 6. Find the common denominator of 31/2 and (-154)/(-20) + 3/h.
10
Let q(w) = w**2 + w. Let h be q(3). Suppose -j + 11 = a, 3*a = -5*j + 45 + h. Calculate the smallest common multiple of j and 4.
12
Let y(o) = o**3 + 11*o**2 + o + 7. Let l(j) = j**2 - j + 1. Let h(q) = l(q) + y(q). Calculate the least common multiple of 2 and h(-12).
8
Suppose 4*z - 54 + 6 = 0. What is the least common multiple of 14 and z?
84
Let f = 14 + 33. Let z(r) = -r**3 - 10*r**2 - 9*r - 8. Let h be z(-9). Find the common denominator of 429/84 + 2/h and f.
7
Let q = -15 + 29. What is the lowest common multiple of q and 136?
952
Suppose 2*n = 3*g + 21, 4*n = -0*n - 4*g + 12. Calculate the smallest common multiple of n and (-2)/1*21/(-14).
6
Suppose 0 = -3*z + 1 + 5. Suppose -z*u + 12 = -4. Calculate the least common multiple of 4 and u.
8
Find the common denominator of 139/12 - (-1)/4 and (4 - 23)/((0 - -1)*-6).
6
Let q = -38 - -73. Suppose 5*x = -90 + 5. Let j = x + q. What is the common denominator of 30 and j?
1
Let f = 13990/77 - 1240/7. Find the common denominator of -71/10 and f.
110
Suppose -l + 3*j + 8 = -0, -4*j - 4 = 0. Suppose -3*y = -4*v + y - 52, 2*v = -l*y - 61. Calculate the lowest common multiple of 2 and (-34)/(-3) - (-6)/v.
22
Let z = 841 - 1967. Find the common denominator of 41/10 and z/28 + 6/(-21).
10
Suppose -n - 16 = n. Let y = n - -17. What is the smallest common multiple of y and 2?
18
Suppose -5*n + 5 = -0. Calculate the least common multiple of n and 2.
2
Suppose 0 = -q - 1, 30 = 4*t - 0*q + 2*q. Find the common denominator of 45/7 and (1/t)/(3/(-474)).
28
Let t = -1/117 + -3619/936. Let n = 28/95 + -2761/665. What is the common denominator of t and n?
56
Let t be (-4)/(-