a*u + 2. Calculate the smallest common multiple of 3 and u.
6
What is the common denominator of 49/117 and (4404/390 - 11)*15/54?
234
Suppose -3*b = -6 - 0, 5*b = 4*n - 26. What is the smallest common multiple of n and -4*((-77)/(-28) - 8)?
63
Suppose 2 = s - 1. Suppose -3*y - s = -33. Let l(k) = 3*k**2 - 6*k - 29. What is the least common multiple of y and l(5)?
80
Let o(n) = 2*n**2 - 6*n + 2. Let g = 11 - 9. Suppose 3*x - 5*y = 7*x - 65, 0 = -3*x + g*y + 66. Calculate the least common multiple of o(5) and x.
220
Calculate the common denominator of -4 + 568/(-432) - 6/(-1) and 93/8.
216
Let x = 1393 + -1342. Calculate the least common multiple of 42 and x.
714
Suppose -2*f - 3*f - 363 = 3*v, 213 = -3*f - 3*v. Calculate the common denominator of f/(-204) + 2/(-8) and 73/2.
34
Let l be (-26)/(-4) - (-2)/4. Let v = l + 1. What is the least common multiple of v and (-2)/6 + 4 + 2/6?
8
Suppose -3*q - 9620 = -5*s, 0 = -2*q - 4*s - 5878 - 550. Let m = q - -19375/6. Let w = -20725/154 - -922/7. What is the common denominator of m and w?
66
Calculate the common denominator of (-3051)/2673*4/(16/(-6)) and 115/12.
132
Let z = 31/13 - 1574/611. Let a = z - -1023/188. Calculate the common denominator of a and 1 - (623/63 - 7).
36
Suppose -3*n + 42 + 60 = 0. Let u = n + -48. Find the common denominator of -41/5 and 703/u + (-16)/56.
10
Let k be (-140)/(-84) + 15227/(-462). Let d be ((-6)/7)/((-3)/110). Let w = d + k. Calculate the common denominator of w and -77/2.
22
Find the common denominator of -5 - ((-31)/186)/(6/115) and 61/198.
396
Let s = 5/523 + -44485/3138. Calculate the common denominator of -59/21 and s.
42
What is the common denominator of (0 - 6)*(-6 + (-8001)/(-1302)) and (1 + 0)/(6/4)?
93
Let t be (-12)/32 - (-1836005)/485144. Let d = t + -2/5513. What is the common denominator of d and -99/32?
352
Let n(p) = -2*p - 10. Let u be (2/3)/(18/(-189)). Let v be n(u). Find the common denominator of (14/(-12))/((-1)/v) and -28/11.
33
Let h(w) = w**3 - 8*w**2 + w - 2. Let s be h(9). Calculate the common denominator of (-80)/(-56)*266/s and 117/14.
154
Let v(j) = j**2 + j - 11. Let d be v(-8). Suppose -2*r + 4*k + 57 = -d, -57 = -r + 4*k. Calculate the lowest common multiple of -1 + (r/3)/1 and 12.
84
Find the common denominator of 119/132 and 25/(-30)*(-138)/(-1760).
1056
Find the common denominator of -125/12 and 2/12 + (-1178)/651.
84
Suppose -9*z - 8 = -5*z. Calculate the lowest common multiple of -2*1 - (-1 - 7) and (-15)/z*(-8)/(-5) - 4.
24
Let j(k) = -10*k**3 - 26*k**2 - 79*k - 3. What is the lowest common multiple of j(-3) and 2?
270
Let i = -2418/827 + -28388807/4962. Let v = i - -5709. Find the common denominator of v and -131/30.
30
Suppose -5*p = 0, u + 5*p + 3 - 12 = 0. Let m be (-1 - 2/2) + 5. Suppose 4 = s - m. Calculate the lowest common multiple of s and u.
63
Suppose 250 - 50 = 25*f. What is the lowest common multiple of f and 28?
56
What is the common denominator of 41/15 and (10 - 18) + 7113/855?
285
Let k(t) = 5*t**2 + t - 1. Let d be k(1). Suppose v + 10 = -d. Calculate the common denominator of 2/(-4) + 171/v and 93/10.
10
Calculate the common denominator of (-92)/264 - 2/(-11) and ((2/(-10))/(-2 + 3))/(-1).
30
Let a be (-14)/((-70)/15 - -4). Suppose -3*r + 2*o = -0*o - 21, -3*o - a = -3*r. Calculate the smallest common multiple of r and 7.
7
Let y be (65 - 0)*66/(-55). What is the smallest common multiple of (-26)/(-65) - y/5 and 8?
16
Let r(q) = q**2 - 8*q + 25. Let o(f) = -f**3 + 8*f**2 + f - 4. Let j be o(8). Suppose 2*c - j*c = -20. What is the least common multiple of c and r(5)?
10
Let d(o) = -o**2 - 44*o - 285. Calculate the smallest common multiple of d(-36) and (-3 + 2)*(1 - 6).
15
Calculate the common denominator of 170/24*69/2300 and -97/16.
80
Let l(y) = -3*y - 15. Let d be l(-5). Suppose d = o - 3*o - 4*s + 28, -4 = -s. What is the smallest common multiple of o and 6/2*(-16)/(-6)?
24
Let s be 2/(-2*1) + 0. Let o(k) = -27*k**3 - 5*k**2 + 2*k**2 + k**2 - 2*k - 12 + 11. What is the lowest common multiple of 6 and o(s)?
78
Let g(b) = -b**2 + 9*b + 76. What is the smallest common multiple of g(13) and 231?
1848
What is the common denominator of -9 and (3/(-54) - 0)*655/30?
108
Suppose 4 + 8 = 2*b. Suppose 0 = -0*m + m - b. Let d(o) = -o**3 + 6*o**2 + 2*o - 7. What is the smallest common multiple of d(m) and 4?
20
Let g(n) = n**2 - 7*n - 7. Let o be g(8). Let u be o/6 + 1255/(-5370). Let v = -727/2506 + u. Calculate the common denominator of 21/16 and v.
112
Suppose -10*j = -2*j - 80. Let w(g) = -g**2 + 10*g + 14. What is the smallest common multiple of w(j) and 16?
112
Let i = -99 - 296. Let o = i + 206. What is the common denominator of 107/20 and ((-345)/(-8))/(o/(-36))?
140
Suppose 7 = 5*r - 6*r. What is the common denominator of 17/18 - r/14 and -7/18?
18
Let r be 1/(-3 + (-7)/(-2)). Suppose -7*q + r*q = s - 96, s + 104 = 5*q. Calculate the smallest common multiple of ((-4)/(-3))/(4/66) and q.
220
Let a(c) = c**2 + 2*c - 4. Let s be a(4). Suppose 37 = 2*p - 5*o, -3*o - o = s. What is the least common multiple of 30 and p?
30
Suppose t - 2*m + 5 = 0, 5*m = 5*t + 15 + 5. Let u be 4/(-6) + (-11)/t. Suppose u*l = l + 18. Calculate the smallest common multiple of l and 2.
18
Let p = -1/5078 - 25307/421474. Calculate the common denominator of p and 9/10.
830
Suppose 0 = -5*s - 15, -5*y + 24 + 24 = 4*s. Let a(h) = -6*h. Calculate the least common multiple of y and a(-1).
12
Let n be (16/(-228)*6)/((-1)/(-5326)). Let u = n + 2242. Calculate the common denominator of u and -61/5.
95
Let k = 6823/39 - -122/13. Let a = 4077/22 - k. Calculate the common denominator of a and 87/10.
330
Let f = -1143/2 + 12503/22. Let o be 6/(-44)*915/18. Let z = o - f. What is the common denominator of z and -83/10?
20
Let f = 69 - 31. Let w = f + -27. Suppose 8 = -3*u + w*u. Calculate the smallest common multiple of 9 and u.
9
Let a be 84/(-9) - (-3)/9. Let w = 2 + a. Calculate the smallest common multiple of w/(-5) - (-18)/(-45) and 1.
1
Suppose -5*i + 6*i - 154 = 0. Suppose -2*z + 7*x - 2*x + 49 = 0, 0 = 5*z - 2*x - i. Suppose 7*w = 11*w - z. Calculate the least common multiple of w and 10.
40
Let q = 37 - -5. Let m = q + -38. Calculate the smallest common multiple of 8 and m.
8
Suppose -4*w + 2*y = 2, 2*w + 2*y + 0 + 4 = 0. Let m be 16/6*-3*w. Find the common denominator of 1*(-1)/m*3 and 67/8.
8
Suppose -2*r - 10 = 3*r. Let g(s) = s**2 - s - 1. Let c be g(r). Suppose c*i - 20 = 70. What is the lowest common multiple of i and 16?
144
Let o(q) = -4*q. Let f be o(-7). Let w = 97 + -53. Let d = w - f. Calculate the smallest common multiple of 8 and d.
16
Let a(w) = -68*w - 2. Suppose -p + 46 = -4*p + 2*k, -k - 19 = 2*p. Let s be a(p). Let f = -8177/10 + s. What is the common denominator of f and 27/29?
290
Let y = 15845/9 - 1757. Let s be (-5)/(3 + -1 - 3). Calculate the common denominator of 2 + (37/s - 0) and y.
45
Let o(x) = -43*x + 29. Let b be o(-9). Calculate the common denominator of 2/(-13) - 1418/b and (-1)/(-28)*118 - 0.
112
Let p be (-2)/(-3) - 314/(-6). Let b = 4525 + -4514. Calculate the lowest common multiple of (-6)/(-15) - p/(-5) and b.
11
Suppose 0 = 2*w - 4*z - 138, 5*w - 150 = -5*z + 165. What is the lowest common multiple of w and 65?
65
Let f = -6 - 11. Let x = f - -21. Calculate the smallest common multiple of x and 10.
20
Let y = -2416 + 19303/8. Suppose 0*k + 6*k - 420 = 0. Calculate the common denominator of (-212)/(-21) - (-40)/k and y.
24
Suppose 30 = -5*s - n, 18 + 13 = -3*s + 2*n. Let j(k) = k**2 + 3*k. Let l = 44 + -30. Calculate the smallest common multiple of j(s) and l.
28
Let o = 72 + -32. Calculate the common denominator of -143/24 and (-1095)/o*(-2)/(-18).
24
Let m(y) = -6*y - 8. Let q be m(3). Let b = q + 382. Find the common denominator of 81/20 and b/40 - 1 - 0.
20
Suppose 480 + 615 = -5*w + 4*z, 0 = -3*w + z - 657. Let j be (-178)/(((-9)/w)/3). Let m = -259977/20 - j. Calculate the common denominator of m and -109/14.
140
Let k = 2/110965 - -13426693/3994740. Find the common denominator of k and -43/16.
144
Let u = 49 - 45. Find the common denominator of -69/2 and ((-69)/u)/(189/(-14)) + 3.
18
Let t(c) = 16*c - 9. What is the common denominator of 240/(-154) + (-4)/(-14) and t(2)?
11
Let p(g) = 3*g