
11
Suppose 0*r - 20 = -5*r. Calculate the least common multiple of r and 2.
4
What is the common denominator of 1/2*(-92)/9 and -71/27?
27
Let l = -129/2 + 98. What is the common denominator of ((-104)/10)/(77/(-35)) and l?
22
Let g = 180 - -141. Calculate the common denominator of (g/(-9))/(8/(-2)) and 3 + ((-375)/(-14))/(-5).
84
Suppose -32 + 102 = 5*d. Suppose -d = 2*g - 3*g. Suppose 5*f - 14 = -r - 0, -5*r + 3*f + g = 0. Calculate the lowest common multiple of 3 and r.
12
Suppose q + 5*j + 7 = -2*q, 29 = 4*q - j. What is the smallest common multiple of q and 18?
18
Let i(x) = x. Let m(w) = -6. Let h be (4/(-12))/(2/6). Let d(c) = h*m(c) + i(c). Calculate the lowest common multiple of 8 and d(0).
24
Suppose 3*x = 4*h + 70, x = -4*x + 2*h + 112. What is the smallest common multiple of 9 and x?
198
Let q(t) = -9*t**2 + 12*t - 8. Let h be (24/(-15))/(1/(-5)). Let p be q(h). Let x = -929/2 - p. What is the common denominator of x and 17/2?
2
Suppose 3*o - 55 = 8. Let p = o - 14. What is the smallest common multiple of p and 4?
28
Let a = 400/13 + -1939/104. Find the common denominator of a and 55/4.
8
Let t(y) = y**2 - 8*y - 7. Let g be t(8). Let d(o) = o**3 + 7*o**2 - 4*o - 10. What is the lowest common multiple of 2 and d(g)?
18
What is the common denominator of 3/9 - 59/9 and -87/4?
36
Let o(h) = -2*h**3 - h**2 + 3*h + 3. Suppose -5*s - 1 = 9. Calculate the smallest common multiple of o(s) and 2 - (2 + -1)/(-1).
9
Suppose 0 = -4*g + 1 + 15. What is the least common multiple of 3/g + 183/12 and 18?
144
Suppose -5*h + h - 16 = 0. Let x be h*1*69/(-12). Let v = x - 13. Calculate the lowest common multiple of 6 and v.
30
Let m(q) = q**3 - 4*q**2 - 4*q - 1. Let v be m(5). What is the common denominator of -125/6 and 33/v - 1/3?
12
Calculate the lowest common multiple of 10 and (-5)/(-21 + 1)*16.
20
Let c = 2/47075 + -1261616/141225. Let p = 108/5 + c. Let s = -1115/129 + 42/43. Find the common denominator of p and s.
3
Let p be (-3 + 66/14)*7. Suppose 0 = -4*v - 0 + p. What is the lowest common multiple of v and 1?
3
Let f(c) = 8*c + 10. Let r be f(-7). Let o = r + -45. What is the common denominator of (-1 - -5)/((-42)/o) and -121/6?
6
Let x(g) be the first derivative of g**4/4 + 3*g**3 + 2*g - 5. Let c be 2/11 + (-202)/22. Calculate the least common multiple of 16 and x(c).
16
Let n be ((-1)/17)/((-1)/222). Let y = 1047/170 - n. Calculate the common denominator of y and 45/8.
40
Let g be ((-5)/(-3))/((-2)/(-6)). Suppose -2*n = 3*f - n - 5, -g = -f - 2*n. Let x = -4 - -10. What is the smallest common multiple of x and f?
6
Calculate the lowest common multiple of 1824/133 + (-2)/(-7) and 8.
56
Let f(a) = -10*a - 30. What is the smallest common multiple of 28 and f(-7)?
280
Let q = -38175 + 1145131/30. Calculate the common denominator of -149/12 and q.
60
Let c = -6 - 2. Let s = -2 - c. Calculate the lowest common multiple of s and 2.
6
Let l(k) = -7*k**2 + 31*k - 4. Calculate the least common multiple of 16 and l(4).
16
Let m = -20207/7 - -2881. Calculate the common denominator of m and -71/6.
42
Calculate the lowest common multiple of 10 and (2/(-5))/(14/(-105)).
30
Let r be 6/15 - 1956/15. Let b = 209 + r. Suppose -2*s = -5*o - b - 2, 34 = s + 4*o. What is the common denominator of s and -37/9?
9
Let h be 22/26 + (-8)/(-52). Let w = 1 + h. Calculate the lowest common multiple of 12 and w.
12
Let t(j) = j**3 + 16*j**2 + 5. Suppose -21 = -4*g - 1. What is the lowest common multiple of t(-16) and g?
5
Let y(i) = i**3 + 3*i**2 + 4. Let h be -2 - (4 - 3) - 1. Let u be y(h). What is the lowest common multiple of (1 + u)*(8 + -9) and 2?
22
What is the common denominator of -49/20 and (98/6)/(8/3)?
40
Let n = -1973/60 + 23/60. Calculate the common denominator of n and 26/9.
18
Let y = 2 - 0. Let p(s) = -s**3 + 4*s**2 + 3. Let b be p(4). Suppose -3*a = -l - 4*l + 36, -b*a - 24 = -3*l. Calculate the smallest common multiple of l and y.
6
Suppose -3*r = 7*o - 3*o + 27, 0 = 3*o + r + 14. Find the common denominator of 1/14 and o.
14
Let v = -8065/828 + -2/207. Calculate the common denominator of 83/6 and v.
12
Suppose 121 = 4*q - 135. What is the least common multiple of q and 22?
704
Let w be 1/2*(-6 + -4). Let k(i) = i**2 + 4*i + 5. Calculate the least common multiple of 8 and k(w).
40
Let r = -1/713 - -21407/12121. Find the common denominator of -32/9 and r.
153
Suppose -3 = 3*h - 18. Suppose -h*a - 6 = 2*s, 0 = -2*s - s - a + 4. Suppose 0 = y + s*y - 54. Calculate the least common multiple of 10 and y.
90
Calculate the common denominator of -47/24 and 8/(-2) + -5 + (-2802)/(-216).
72
What is the least common multiple of 4 and (8/6)/((-9)/(-27))?
4
Let g be ((-698)/132)/((-195)/(-321)). Let c = g + 2/429. What is the common denominator of c and -47/2?
10
Suppose y - 2*f = 60 + 112, 0 = 4*y + f - 670. Calculate the common denominator of (y/(-15))/((-3)/(-5)) and -3/8.
24
Let r(n) = 4*n - 44. What is the lowest common multiple of r(19) and 20?
160
Find the common denominator of -10/9 and ((-56)/6)/(3 + 9/(-2)).
9
Suppose -5*v = -5*b - 15, -b - v = 4*b - 15. Suppose -b*q + 2*y = -0*y - 2, -2*q + 3*y - 2 = 0. Calculate the least common multiple of q and 4.
20
Let v be 504/20 + (2 - 22/10). Let a be (-34)/4*(-4)/(-2). Let o = a + v. What is the least common multiple of 12 and o?
24
Find the common denominator of 1/32 and ((-94)/(-16))/((-3)/(-4)).
96
Let o(m) = -m + 5. Let f(w) = -4*w. Let t be f(1). Let l = 3 + 2. What is the smallest common multiple of o(t) and l?
45
Let l = -2208 + 623. Let d = l + 3956. Let u = 4837/2 - d. What is the common denominator of u and 26?
2
Let p(o) = -210836*o**2 - 6*o + 2. Let k be p(5). Let j = k - -379512803/72. Let v = -651/8 + j. Find the common denominator of 61/9 and v.
9
Let c = 40 + -22. What is the common denominator of 4/12 - (-73)/c and 11/12*2/1?
18
Suppose -f = -7 - 0. Suppose -3*x - f = -2*x. Let c(g) = g**2 + 6*g + 4. Calculate the least common multiple of c(x) and 5.
55
Let k = 70 - 62. Calculate the lowest common multiple of k and 82.
328
Let b(q) = -q**3 + 15*q**2 + 17*q + 23. Calculate the lowest common multiple of 9 and b(16).
117
Suppose 2*o - 6 = -5*i - 0, 0 = -3*o - 6. Calculate the smallest common multiple of i and 12.
12
Suppose 3*m + 52 = 208. Let r be 4/18 + m/9. Suppose -r = -p - 2*p. What is the least common multiple of 2 and p?
2
Let u = 1073/550 - -1/275. Calculate the common denominator of -59/2 and u.
22
Let j(w) = -w**3 + 12*w**2 + 5*w - 52. Calculate the smallest common multiple of 14 and j(12).
56
Let q = -814 - -1351. Suppose -1311 = 3*a + q. Let r = -12317/20 - a. Calculate the common denominator of -7/22 and r.
220
Let m = 20 - -5. Let f = 60 - m. Calculate the common denominator of 37/5 and (-4)/14 - (-269)/f.
5
Let c be 1/56*5591 + 2. Let g = -773/8 + c. Find the common denominator of g and 2/(16/5)*9.
56
Suppose -3*y - 4 + 13 = 0. Let q be 4 - -1*(-2)/(-1). What is the least common multiple of y and -6*(-9)/q*1?
9
Let v = 58501/9567 + -4/1063. Let l = 151/1272 - -1/159. Calculate the common denominator of l and v.
72
Suppose i = -0*m - m + 9, -m = -2*i - 24. What is the lowest common multiple of 4 and m?
28
Suppose -2*n + 123 + 25 = 4*j, 5*n - 190 = -5*j. Calculate the least common multiple of j/10 - 12/(-30) and (-2 - 0)/((-4)/14).
28
Let p(r) = -r**2 + 6*r - 9. Let q be p(6). Let j be ((-6)/q)/(6052/440271). Let w = 2/1513 + j. Calculate the common denominator of w and 125/6.
6
Let z = -56/4075 - 89392771/36675. Let h = z + 2435. Let i = 213 - 1071/5. Calculate the common denominator of h and i.
45
What is the common denominator of 89/(-14) - (-2)/(-7) and -2 + (-4)/(96/3)?
56
What is the common denominator of ((-258)/12 - -1)*(-2)/(-16) and -69/358?
2864
Let p(m) = -14*m + 3. Let j be p(5). Let s = -27 - j. Let n = s + -29. What is the smallest common multiple of n and 8?
88
Let s(d) = -9*d + 1. Let c be s(1). Let a = -6 - c. What is the smallest common multiple of a and 9?
18
Let i = 293/2 - 2701/18. What is the common denominator of 4/9 and i?
9
Let m = -2777758/11 - -252340. Let p = 10645/66 + m. Let d = -3843 - -34513/9. Find the common denominator of p and d.
18
Let s be 2*((-29)/2 + 1). Let g = 38 + s. What is the least common multiple of g and 8?
88
Let w = 31 + -61/2