Suppose 0 = 22*k - 693 - 11. What is the smallest common multiple of k and 16?
32
Suppose -11*l + 10*l + 3*t = 0, -4*l - 5*t + 85 = 0. What is the least common multiple of 18 and l?
90
Let q = -7/339 - -9971/6780. Let v = -90/511 - -38441/12264. Find the common denominator of q and v.
120
Suppose 0 = 5*m + 2*o + 85 + 96, -m - 2*o = 41. Let j = m - -41. Let i = 61 - 43. Calculate the least common multiple of j and i.
18
Find the common denominator of (2453/154 + -16)/((-3)/(-173)) and -161/150.
1050
Let n = -3175/7 - -28057/63. Let x = 330039 - 3307413/10. Let r = -700 - x. Calculate the common denominator of r and n.
90
Let a = -15792665/162 - -97486. Let r = -1/324 - a. Calculate the common denominator of r and (1/2)/((-15)/(-231)).
60
Let t = -321 - -323. What is the smallest common multiple of 10 and t?
10
Suppose 2*o + u = -u + 6, 4*o - 4*u = 44. Let f(c) = -5*c - 22. Let g be f(-4). Let b = 3 - g. Calculate the least common multiple of b and o.
35
Let d = 107 - 89. What is the lowest common multiple of d and 190?
1710
Let i(b) = b - 9. Let l be i(10). Calculate the common denominator of 75/2 and (-438)/(-136)*(45/(-27) + l).
34
Let k = 2053/5 + -26454/65. Find the common denominator of k and 31/58.
754
Let w(q) = -q + 1. Let h(z) = -33*z**3 - 5*z + 6. Let v(i) = h(i) - 5*w(i). Let o be v(1). Let m = 103/3 + o. Calculate the common denominator of m and -50/7.
21
Let w = -156 + 180. What is the lowest common multiple of 0/(-1)*1 - -8 and w?
24
Let k = -2180 - -65473/30. Calculate the common denominator of (-1)/1 + 83/(-22) and k.
330
Suppose 4*l - 6 = 2. Suppose 19 = u - 5*b + b, 5*u - 4*b = 15. Calculate the lowest common multiple of l and u - 0 - 6*-1.
10
Suppose -40*o = -37*o - 96. Suppose -2*a = 5*j - 22, 2*j = 3*j - 5*a - 26. What is the least common multiple of o and j?
96
Suppose 3*q - 2*k = -43, 2*k - 1 - 8 = q. Let f = 16 + q. Let d(o) = -8*o**3 + 2*o + 2. What is the least common multiple of 7 and d(f)?
56
Let a(k) = 3*k + 4. Let n be a(-3). Let d be 3964/(-6620) + (-3)/n. Let b = d + 18181/19860. What is the common denominator of b and 59/4?
12
Calculate the common denominator of -23/80 and (-1)/(-1) + (-4626)/2592.
720
Let s be 13*15/6*2 - -4. Let a = s - 55. What is the smallest common multiple of a and 16?
112
Suppose 2*v + 19*p - 14 = 20*p, -2*v - p = -18. Let y(c) = -c - 1. Calculate the lowest common multiple of v and y(-6).
40
Let v = 2/3775 - 358653/52850. Find the common denominator of ((-405)/80)/((-6)/(-8)) and v.
28
Let r(m) = -m**3 - 6*m**2 - 15*m - 22. Calculate the smallest common multiple of 15 and r(-4).
30
Let w = -896 + 12641/14. Let l = 905203/81368 - -2/10171. What is the common denominator of w and l?
56
Suppose 17 = 2*r - y, -r - r + 14 = -4*y. Find the common denominator of (-13)/2*7/5 and 2 + 515/(-90) - (-2)/r.
10
Suppose 0 = x - 3*k + 5, x + 2*k = -4 + 14. Suppose 0*v + 24 = 2*v. Calculate the least common multiple of x and v.
12
Let h(d) be the first derivative of 11*d**3/3 - d**2 + d - 38. Calculate the least common multiple of 6 and h(1).
30
Let y = -5173 + 124171/24. Let a = 4789/4110 - -192/137. What is the common denominator of a and y?
120
Let g = 20 - 45. Let v = g + 43. Let p(x) = 1271*x - 2530. Calculate the least common multiple of p(2) and v.
36
Let b be (-212)/(-18) - ((-80)/36 - -2). Calculate the common denominator of (102/20)/((-4)/(-64)*b) and -3.
5
Let f = -47401397/198 + 718226/3. Let v be -2*(-429)/108 - (1 - -2). Let a = v - f. What is the common denominator of a and -23/6?
66
Let w(k) = 7*k**2 + k + 4. Let z be w(4). Let b = -848 + 6851/8. Find the common denominator of ((-234)/z)/((-9)/42) and b.
40
Let b = 243 - 115. What is the lowest common multiple of b and 10?
640
Let t(j) = -j**3 + 10*j**2 - 9*j + 10. Let p be (1/1)/((-13)/(-104)). Let q be (4 - p - -8) + 5. Calculate the smallest common multiple of 2 and t(q).
10
Let m = 4654 + -83797/18. Let r be 0/2 + 4232 + (29 - 31). Let i = r + -50671/12. Calculate the common denominator of i and m.
36
Suppose -c + 12 = -k - 0*k, -4*k = c + 8. What is the least common multiple of (12/26)/3 - (-256)/26 and c?
40
Let h = 108 - 94. What is the least common multiple of h and 9?
126
Calculate the lowest common multiple of (-106)/(-4) - ((-7)/2)/7 and 57.
513
Let o(u) = -u**3 + 28*u**2 - 95*u + 14. Calculate the smallest common multiple of o(4) and 27.
54
Suppose -6*m + 994 + 86 = 0. Calculate the lowest common multiple of m and 210.
1260
Let v(j) be the first derivative of -3*j**2/2 - 14*j + 4. Let q be v(-6). What is the common denominator of 34/9 and (-98)/(-6) + 2/q?
18
Let n = 74047/3876 + -1130/57. What is the common denominator of 181/60 and n?
1020
Find the common denominator of 10/4*(9 + 10156/(-1160)) and 59/6.
348
Let r(y) = y**3 + 15*y**2 + 5*y + 99. Calculate the least common multiple of r(-15) and 231.
1848
Let u(n) = n**3 + 5*n**2 + 4*n + 6. Let q be u(-4). Suppose 0 = -q*c + 3*c + 6. Suppose 0 = -20*s + 18*s + c. What is the lowest common multiple of s and 1?
1
Let v(n) = n - 1. Suppose 0 = 5*h - 2*i + 37, -2*h - i - 13 = -h. Let j be v(h). What is the least common multiple of (-10)/(-3)*(-12)/j and 10?
20
Suppose 3*v - 52 = -34. What is the lowest common multiple of v and 24?
24
Suppose -9*s = -15*s - 36. Calculate the common denominator of (-2)/(-4) + (-183)/(-84) and (-22)/6 - (-2 - s/4).
84
Let k = 290 + -146. Calculate the common denominator of 4 + -7 + 618/k and -25/9.
72
Let j(r) = -37*r + 160. What is the smallest common multiple of 296 and j(4)?
888
Suppose 0 = 3*r - 9*r - 18. What is the smallest common multiple of (4 - r - 2) + 3 and 21?
168
Let u be (0 - 5/15)*-12. Calculate the least common multiple of 36/126 + u/(-14)*-62 and 4/1*(-2 + 6).
144
Suppose 3*n + 5 = 4*j, 0*n = 5*n - 5*j + 5. Let g be 42/27 - 104/(-234). Suppose 1 = g*u - d - 6, u = 5*d - n. Calculate the lowest common multiple of u and 2.
4
Let h = -6 - -13. Calculate the common denominator of ((-123)/(-15))/((-8)/10) and 118/20 - (8 - h).
20
Calculate the common denominator of 37/64 and ((-20)/(-64))/((-1)/(-30)) + 0.
64
Let s = 7290 + -218657/30. Find the common denominator of -51/10 and s.
30
Let r be -1 + 0 - (-25 - (-13 - -7)). Let w = r - -2. Calculate the smallest common multiple of w and 34.
340
Let i(v) = -390*v**2 + 2*v + 9. Let r be i(5). Let x = r + 155747/16. Calculate the common denominator of x and -17/16.
16
Calculate the common denominator of (-376)/6368*(-2 + 4) and 13/16.
3184
Let t = -194/3 + 121/6. Find the common denominator of (0 - (-291)/(-10)) + 32/(-80) and t.
2
Let b = 18 + 38. Suppose 5*o - b = 54. Let g = o - 6. Calculate the least common multiple of 6 and g.
48
Suppose 7*c = -66 + 10. What is the common denominator of -85/66 and (-2)/c - 45/54?
132
Suppose 8*x - 3*x + 5 = 0. Suppose -4*u + 4 = 5*c, 0*c - 8 = -2*c. Calculate the least common multiple of 6 and 6/2 + x - u.
6
Suppose -2*f - 3*n = 16, -4*n = -3*n + 4. Let j = -2996/99 + 405/11. Calculate the common denominator of (-18)/11*f/(-4) and j.
99
Suppose s + 2*s = 5*a - 20, 5*a - 20 = -3*s. Suppose -v + 10 = -s. What is the smallest common multiple of v and 2?
10
Let g be (-319)/11*(2 - 1). Let h = g - -30. Suppose 4 + 18 = 2*w. What is the least common multiple of w and h?
11
Suppose 1032 - 696 = 8*p. Let y(k) = -k**3 - 9*k**2 + k + 12. What is the least common multiple of y(-9) and p?
42
Let j(r) = 7*r + 224. What is the lowest common multiple of 10 and j(-26)?
210
Let a = -2191/2180 - -6/109. Find the common denominator of 133/90 and a.
180
Let i = 61/42 - 7/2. What is the common denominator of i and 143/6?
42
Let l = 2/53 + 1427/106. Calculate the common denominator of 0 - (15*52/192 - 3) and l.
16
Let h = 33555 + -3019889/90. Calculate the common denominator of h and -117/110.
990
Find the common denominator of 27/8 and -6 + (-28626)/(-5280) + 2/22.
80
Let a = 36 + -35. What is the common denominator of 55/3 and (a - 5)*285/200?
30
Let q be (-392)/(-12) - (-3)/9. Let f(h) = -h**2 - 2*h + 7. What is the common denominator of (q - (3 - 5))/(-9) and f(5)?
9
Let u = -1183 + 627. Let h = 1165/2 + u. Let w = 2335 + -25733/11. What is the common denominator of w and h?
22
Calculate the least common multiple of 30 and 122/3 - 16/24.
120
Let f(w) = 2*w**3 + 10*w**2