, 0 = -2*p - 5*z + 24. Suppose 4 = v - 5*u, 4*v - 2*u + 26 = -3*u. Calculate the smallest common multiple of 6/9 - 68/v and p.
12
Let h = 26 - 74. Suppose -3*j = -0*j + 426. Calculate the common denominator of 95/4 and (3 - j/h)*106.
12
Let q = 12 - 8. Let t = 2 - -8. What is the smallest common multiple of t and q?
20
Let n = -101 + 54. What is the common denominator of n and (-6)/(-33)*106/(-4)?
11
Suppose 0 = 7*h - 2*h - 50. Suppose 60 = 10*i + 5*i. Calculate the least common multiple of h and i.
20
Suppose -5*z = -4*m + 53, 4 + 8 = -4*m. Suppose h = 2*o - 19, h - 51 = -6*o + o. What is the smallest common multiple of (-6)/(-2 + z/(-8)) and o?
80
Suppose -5 = w - 12. Let d(a) = -a**2 - a. Let k(h) = -h**2 - 8*h - 10. Let j(c) = 2*d(c) - k(c). What is the least common multiple of j(w) and 6?
6
Let n = 2 - -5. What is the least common multiple of n and 3?
21
Let s(w) = w**3 + w**2 + w + 3. Let n be s(0). Suppose -v = n*v + 12. What is the common denominator of 23/3 and (38/v + 1)*-3?
3
Suppose -2*n - 8 = 3*n + 3*k, -4*k = 4*n + 8. Let z be 1 + 2 + -1 + n. What is the common denominator of 23/2 + z/(-1) and -48?
2
Calculate the smallest common multiple of ((-1050)/(-8))/3 + 26/104 and 1.
44
Find the common denominator of -127/18 and 4/(-9)*(-3 - (-477)/(-24)).
18
Let f = 36 + -159/2. What is the common denominator of f and 83/12?
12
Calculate the lowest common multiple of 12 and 198/(-3)*4/(-8).
132
Suppose -z + 4 = -1. Let w(c) = -c**2 + 5*c + 1. What is the smallest common multiple of w(z) and 11?
11
Let o = -6 - -9. Suppose o*l + 32 - 104 = 0. Suppose -m + l = m. Calculate the lowest common multiple of 18 and m.
36
Suppose -5 - 5 = -z. Let x be (-3 - -2) + (0 - 0). Calculate the common denominator of ((-422)/z - x)/4 and -31/4.
20
Let u = -57 - -227/4. What is the common denominator of 39/62 and u?
124
Find the common denominator of (1*14/(-9))/(48/396) and -79/4.
12
Let s(k) = -k + 1. Let t be s(-2). Suppose -t*m = -2*m. Suppose 0 = 3*d + 5*f - 55, d + d - 4*f = m. Calculate the lowest common multiple of 14 and d.
70
What is the common denominator of 11/4*63/(-35) and -65/2?
20
Let u be 10 + (-1 - -2) + -1. Let l be (-1 + (-3990)/(-4))/u. Let k = l + -100. Find the common denominator of 5/12 and k.
60
Suppose -z - 10*z + 231 = 0. Calculate the least common multiple of z and 30.
210
Let x = 21104 - 1287378/61. Let p = 3356/3635 - 482523/44347. Let s = p - x. Calculate the common denominator of 25/8 and s.
40
Let y be (-118)/(-10) + (-6)/(-30). Calculate the common denominator of 47/3 and (-40)/(-24)*(1 + y).
3
Suppose -5 = -5*i + 35. Calculate the lowest common multiple of 22 and i.
88
What is the common denominator of 3 - (-44)/6 - 0 and -53/7?
21
Let y = 9 + -1. Calculate the smallest common multiple of y and 7.
56
Let s = -13083 - -1792385/137. Let g = s - 2044/1233. Find the common denominator of g and 57/7.
63
Let h = -51241804 - -111707137987/2180. Let m = 138/109 - h. Find the common denominator of m and 83/20.
20
Let n(k) = -k - 4. What is the lowest common multiple of n(-8) and 16?
16
Calculate the common denominator of (-184)/(-66) - (4 + -1)/3 and 137/6.
66
What is the least common multiple of (16/(-12))/((-2)/15) and 10?
10
Let n be (-11 + 2)/(3/(-2)). Let i = 8 - n. Calculate the least common multiple of 10 and i.
10
Let v(o) be the second derivative of -o**4/2 - o**3 - 5*o**2/2 + 2*o. Let u be v(-5). What is the common denominator of -43/10 and 2/6 + u/(-48)?
80
Suppose 5*f - 6*f + 8 = z, 4*f - 2*z - 50 = 0. Let t(x) = -3*x. Let n be t(1). Let g = n + 9. Calculate the lowest common multiple of g and f.
66
Let i = -1490 - -983. Find the common denominator of 2 + i/54 + 0 and (-23)/5 - (-1)/4.
180
Let q be (-97281)/60 - (-2)/10. Let g = q + 1620. Find the common denominator of g and 47/2.
20
Let j be (-16)/(-40) - 196/(-10). Let o = 36 - j. Calculate the least common multiple of 6 and o.
48
Find the common denominator of -43/11 and (-17)/2*21/9.
66
Suppose 2*p = 5*p - 6. Suppose -3*y - 5*t = 2 - 34, -p*y + 5*t = -13. Calculate the least common multiple of y and 4.
36
Let r = -5/22 + 41/132. Find the common denominator of 11/26 and r.
156
Suppose 16*i - 11*i + 3690 = 0. What is the common denominator of i/(-176) + (-10)/(-55) and 28/11?
88
Let z(j) = -11*j - 7. Calculate the lowest common multiple of 2 and z(-2).
30
Let u(k) = -k + 2. Calculate the least common multiple of u(0) and 2.
2
Suppose 2*n - 14 = -10. What is the lowest common multiple of 26 and n?
26
Let k(w) = w**3 - 6*w**2 + 5*w + 1. Let l be k(5). Let s = 5 + -2. Suppose -25 + l = -s*c. What is the least common multiple of c and 1?
8
Let k(s) = -s**3 + 3*s**2 + 2. Calculate the least common multiple of k(2) and 8.
24
Let t = -2 - -10. What is the lowest common multiple of t and 12*4/12 + 5?
72
Suppose -16 = -4*m + j - 5*j, 5*j = -2*m + 11. Let k(c) = -c**2 + 6*c - 7. Calculate the smallest common multiple of 7 and k(m).
14
Suppose -3*b = -7*b. Suppose -2*g = 3*y + 2*y - 11, b = -2*g - y + 15. Suppose 2*c - 16 = -0*c. Calculate the lowest common multiple of c and g.
8
Suppose -3*d - 2*t + 0*t = 0, 2*t = -2*d - 2. What is the lowest common multiple of 10 and d?
10
Suppose -4*h - 13 = -5*p, -p + h = -2 - 0. Suppose p*x = 15, -2*x = -c + 4*c - 39. Calculate the least common multiple of 5 and c.
55
Calculate the common denominator of -55/9 and (-14*1)/((-16)/6).
36
Suppose 2*p - 5*g = -14, -8 = 3*g - 20. Suppose 0 = -v + 8 - p. What is the lowest common multiple of 10 and v?
10
Let n(l) = 2*l + 39. What is the lowest common multiple of n(-12) and 39?
195
Suppose 5*k - 2*k + 5 = -m, 3*m - 2*k = 18. Suppose 2*l + 0 - m = 0. Calculate the lowest common multiple of l/((-11)/4 - -3) and 10.
40
Let i be (-42)/119*2/(-435). Let q = i + 120761/14790. Let s = 23281/6390 - -28/355. What is the common denominator of s and q?
18
Suppose -4 = -5*w + 1. Suppose 0 = -4*l - 3*f + 8, l = -2*l + 4*f + 6. What is the lowest common multiple of l*-1*(-1)/2 and w?
1
Suppose -5*l + 17 + 18 = 0. Suppose -g + 2*q + l = 0, -g = 3*q + 1 - 18. Calculate the lowest common multiple of (-12)/8*80/(-12) and g.
110
Let d be 2/5 + (-22)/5. Let x = 0 + d. Find the common denominator of 75/8 and x/(-22)*(-16)/1.
88
Let n = -16387/2169 - 1/2169. Let w(b) = -3*b + 5. Let q be w(10). Let f = -4 - q. Calculate the common denominator of f and n.
9
Let y = 29/21 + -12/7. Suppose z + 45 = -4*z. Calculate the common denominator of y and (((-94)/z)/(-2))/(-1).
9
Suppose 0 = -5*k + 2*n + 40, 3*k - 2*n - 26 + 2 = 0. Calculate the lowest common multiple of k and 2.
8
Let k = -54602/187 - -3186/11. Calculate the common denominator of k and 97/12.
204
Suppose x + 100 = 6*x + 2*n, 4*x = -4*n + 80. Let q = 36 + -14. What is the smallest common multiple of q and x?
220
Let g be 1/2 - 4/8. Let p = 9 + g. Calculate the smallest common multiple of 16/(-12)*(-6 + 3) and p.
36
What is the common denominator of (86/50)/(30/75) and 82/(-36)*-1 - 1?
90
Let b = 5447/49 - 111. Let a = 2704/245 + b. Find the common denominator of a and -85/2.
10
Let c = -58 + 100. What is the least common multiple of c and 20?
420
Let p = 72779/11 + -6621. Find the common denominator of p and (-8)/2 + 126/(-16).
88
What is the smallest common multiple of 2/4 + 6/4 and (-8)/28 - 128/(-7)?
18
Calculate the common denominator of -17/4 and 1 - ((-564)/(-66) - 5).
44
Let i(c) be the third derivative of -c**6/120 - c**5/12 + 2*c**3/3 + 5*c**2. What is the least common multiple of 7 and i(-5)?
28
Let f = 9/33806 - 8942065/1419852. Let v = 1/28 - f. What is the common denominator of 3/(-2)*14/8 and v?
24
Suppose 6 = -10*y + 146. Let m = -14 + 20. Calculate the least common multiple of y and m.
42
Let v(q) = 80*q**2 + 2. Let z be v(2). Let a be ((-4)/10)/(z/(-1094)). Let l = a + 8/115. What is the common denominator of 64/3 and l?
21
Let c(x) = x**2 - 4*x + 3. Let v be c(3). Let o = v - -4. Suppose o*r = 3*k - 44, 0 = 2*k + 3*r - r - 48. What is the smallest common multiple of k and 2?
20
Let c(v) = 38*v**3 - 3*v**2 + v. Let h be c(-3). Let i = h - -10549/10. Find the common denominator of i and -57/10.
10
Let o be 47/(-4) + (-1)/4. Let w be (o/(-8))/((-6)/112). What is the common denominator of (-10)/(-12)*w/(-20) and 31/4?
12
Let g(o) = -o**2 + o - 1. L