 Find the common denominator of 369/y*8/(-24) and q.
20
Suppose 3*f = 5*f + 44. Let p = f + 32. Calculate the least common multiple of 14 and p.
70
What is the common denominator of 25/(-30)*(-363)/15 and -25/11?
66
Suppose 3*t - 5*t - 6858 = -2*n, -3*n = 4*t + 13751. Let v = 20653/6 + t. Calculate the common denominator of v and 17/10.
30
Let v(k) = k**3 - 5*k**2 - k + 6. Let j be v(5). Suppose o + 4*d - 4 = -0*o, 2*o = -4*d. What is the common denominator of 73/4 and o/(-32)*81/j?
8
Let x = -61/390 + 10/39. Let h = 8/367 - 24621/1468. Find the common denominator of h and x.
20
Let i be 103/(-6) - (3 + 0). Let x = 27 + i. What is the common denominator of 87/10 and x?
30
Let z be 1/(-6) + 35/(-6). Let f = 76261/8244 - 1/2061. Find the common denominator of f and (-10 + -1)*(z + 4).
4
Suppose -6 = -7*q + 8. Calculate the least common multiple of q and 15.
30
Let y = 1/688 - -75/172. Find the common denominator of y and 65/16.
16
Suppose -2*m = -5*k + k + 10, 2*m = -3*k + 18. Suppose 0*z - 27 = -z. What is the least common multiple of 16 and m*6/z*3?
16
Let u(h) = -166*h**2 + 5*h - 1. Let n be u(-4). Let a = n - -26747/10. Calculate the common denominator of (-3)/(-2)*(-47)/(-9) and a.
30
Let b be (-2409)/(-28) + (-2)/7. Suppose 0 = h + 4*w + 91, 3*h + 271 = -4*w + 14. Let n = h + b. Calculate the common denominator of -26/5 and n.
20
Let w(s) = -6*s + 11. Let c be w(-6). Let y = 69 - c. What is the smallest common multiple of 4 and y?
44
Let x = 365 + -611. Find the common denominator of (x/24)/((-10)/4) and 43/18.
90
Let w = 1/154 + -311/6391. Let s = w - 2023/249. Find the common denominator of s and -71/10.
30
Calculate the common denominator of (-285)/14 - (-11)/(-77) and 32/47.
94
Suppose 2*o + 4*z - 25 = -7, 0 = -2*o - 5*z + 18. What is the common denominator of (4/(-16))/(o/174) and -25/2?
6
Let h = -5/89877 - -60847289/10066224. Let f = h - 55/7. Calculate the common denominator of 23/2 and f.
16
Let y = -23 + 96. Suppose -2*j - 47 = -3*u, -28 = 3*u - 3*j - y. Let t = -7 + u. Calculate the smallest common multiple of 4 and t.
20
Suppose 0 = 3*g - 5*v - 27, -5*g - 5*v + 0*v = -5. Calculate the least common multiple of g and 11.
44
Let a(m) = -m**3 - 4*m**2 + 0 + 4*m + 0 + 7. Let v be (-2 - 0)/((-1)/(20/(-8))). Calculate the smallest common multiple of 20 and a(v).
60
Let q = -289/13 - -31/78. Find the common denominator of q and -31/4.
12
Suppose 5*t - 45 = 2*t. Let u be (t/(-50))/(6/(-34285)). Let x = u - 1691. What is the common denominator of 81/10 and x?
20
Suppose -8 = 4*i, 1 = -r + 5*i + 16. Calculate the smallest common multiple of r and 3.
15
Let d = -6 - 6. Let z be d/6 + 560 + 0. Find the common denominator of -53/8 and 5/30*z/16.
16
Let o = -9564 + 133841/14. Suppose -h - h - 276 = 0. Calculate the common denominator of o and 1*(1 - h/(-8)).
28
Suppose 3*k = 6, 2*o = 4*o + 2*k - 196. Calculate the common denominator of (38/o)/(1/3) and -93/16.
16
Let r(h) = -2*h + 1. Let o be r(-2). Suppose -57 = -o*v + 93. Let w = 1/1508 - 76157/4524. Calculate the common denominator of v and w.
6
Let j = -4602 + 82873/18. What is the common denominator of -5/22 and j?
198
Suppose 5*a + q + 3*q + 2 = 0, -5*q = 4*a + 7. What is the least common multiple of 7 and a?
14
Suppose -4*k - 17 = -5. Let v = k - -6. What is the least common multiple of v and 4?
12
Suppose u - 3*u = x - 14, -2*u - 82 = -5*x. Suppose 2*r - 14 = -5*j + 106, 5*j - 115 = -r. Calculate the lowest common multiple of j and x.
176
Suppose 8500 + 553 = -f. Let a = 162865/18 + f. What is the common denominator of a and -53/14?
126
Let b(v) = -v - 6. Let l be b(-5). What is the common denominator of -18/11 and l/(-4) - (-47)/12?
66
Find the common denominator of (-2556)/27*(-3)/(-72) and -7/4.
36
Calculate the common denominator of (-426)/(-80) - (-4)/(-20) and -29/34.
136
Let h = 1/4739 + -535517/47390. What is the common denominator of h and -33/2?
10
Let q = -17 + 23. Suppose 0 = 2*b - 7*b + 25. What is the lowest common multiple of q and b?
30
Let h = -47/1380138 - 4024246087/184938492. Let t be (-3)/3 - (-693)/67. Let w = h + t. What is the common denominator of w and -89/8?
24
Let s be (2 - 1) + -2 - -15. Suppose -h + 6 = -s. Let k(l) = -4*l. What is the least common multiple of k(-1) and h?
20
Suppose -2*y + 1 = -5*v, 5*y = -5*v - 0*v + 20. Suppose -5*g - 1 = 4*q, -8*q + 15 = -3*q + 3*g. What is the least common multiple of q and v?
6
Let l = -1213/6 - -200. Find the common denominator of 1/(-3 + 489/153) and l.
30
Let n = -819 - -5755/7. Let s = -9 + n. What is the common denominator of 0 - 46/(-7) - -1 and s?
7
Suppose 2*v - 4*s = 6, 5*s = 5*v - v - 15. Let t be (-333)/(-7) - 12/(-28). Suppose -v*k = -t - 7. Calculate the lowest common multiple of 2 and k.
22
Let z = 64 + -49. Calculate the lowest common multiple of 10 and z.
30
Suppose 47*u - 50*u = -60. What is the least common multiple of u and 12?
60
Let x = -18 - -20. Suppose -5*q + 7 = -x*r - 1, -10 = -4*q - 2*r. Calculate the lowest common multiple of (-1 - -8)*(-12)/(-14) and q.
6
What is the common denominator of 1/8 and 10/(-14) + 1 + (-676)/112?
8
Let k(f) = 3*f**2 + 29*f - 23. Let b(m) = m**2 + 10*m - 8. Let r(v) = -8*b(v) + 3*k(v). What is the lowest common multiple of r(-8) and 11?
33
Let i = -31441 - -12582. Let m = i - -226177/12. What is the common denominator of 2 - (-3 + (-43)/12) and m?
12
Suppose -5*x = v - 6*v + 170, -3*v + 106 = -4*x. Calculate the smallest common multiple of 33 and v.
330
Let w(b) = -7*b - 2*b**2 + 16 - 6 + b**2. Let a be w(-8). Calculate the lowest common multiple of 1 and -1*1/a*-8.
4
Let v = -20 - -29. Suppose 2*f - 2 = -0*f. Calculate the least common multiple of v and f.
9
Let b = 1156/15 + -512/5. Calculate the common denominator of 13/3 and b.
3
Let g be (-278)/(-10) - (-1)/5. Suppose t = 3*t - g. What is the lowest common multiple of t and 18?
126
Let s(l) = -l**2 - 17*l - 5. What is the least common multiple of s(-16) and 15?
165
Let n(j) be the third derivative of j**5/12 - j**4/12 - j**3/6 - 4*j**2. Calculate the least common multiple of 9 and n(-1).
18
What is the smallest common multiple of -2 + 1 + 9 + 25/(-5) and 12?
12
Let l be -1 - (0 - 4 - -2). Suppose -3*c - l = -3*m + 68, -89 = -4*m + 3*c. What is the lowest common multiple of m and 6*2/(-6)*-3?
60
Find the common denominator of 79/10 and (((-2730)/9)/7)/(27 - -1).
210
Suppose 2*g = -2*g - 8. Let y = -3 + 4. What is the lowest common multiple of y and (-1 - (g + -2)) + 0?
3
Find the common denominator of -75/2 and ((-2)/(-2))/(72/(-510)).
12
Let a = 1182 - 21301/18. Find the common denominator of -58/9 and a.
18
Let t(r) = -r**2 + 20*r + 2. Suppose -2*b = 21 - 61. What is the smallest common multiple of b and t(20)?
20
Let t = -31 + 51. What is the smallest common multiple of t and 1/(-2)*(-17 - -1)?
40
Let d be (20/18)/(27/42). Let z = d - 482/81. Calculate the common denominator of -64/3 and z.
9
Suppose 2*t - t + 3*f = 19, -f = 1. Let q be 1*-2*6/(-4). Suppose 5 = 5*g, -15 = 2*i - 3*i - q*g. Calculate the smallest common multiple of i and t.
132
Suppose 3*y + 2*k - 11 = 0, 2*k - 3 = 5*y - 0*k. Calculate the lowest common multiple of (2 - 0)*(-5)/(-2) and y.
5
Calculate the smallest common multiple of 11 and 534/48 + 1/(-8).
11
Suppose -4*q = q + 3*p - 1205, p + 233 = q. Find the common denominator of 1 - (0 + q/24) and 7/((-84)/99)*(-10)/3.
12
Let j(r) = 5*r - 3. Let l be j(-2). Let b = l - -16. What is the smallest common multiple of 18 and b?
18
Let r be (8 - 9)*(1 - 7). Let g(m) = 2*m - 3. Let s(u) = 2*u - 2. Let x(i) = -2*g(i) + 3*s(i). What is the lowest common multiple of 10 and x(r)?
60
Suppose 0*p + 3*f - 271 = -5*p, -3*p + f + 171 = 0. What is the least common multiple of p and 20?
280
Let d = 17/93 - -2899/930. What is the common denominator of d and 3/7?
70
Suppose -4*h = -5*w - 20, h - 3*w - 12 = -4*h. Suppose -25 = -g - 5*s, 35 = 2*g - 5*s - h*s. What is the smallest common multiple of g and 4?
20
Let g = 10 + 2. Find the common denominator of -47/2 and (-375)/(-18)*4/g.
18
Let t = -274203/56 + 4897. Let f = t - -745/616. Find the common denominator of f and (71/(-2))/(-1 - 0).
22
Suppose -4*h + 5*g = 41, -5 = 3*h - g + 12. Find the common denominator of -133/12 and (-3)/h*(-368)/(-40).
60
