*8.
45
Suppose -a - 3*v - 5 = 2, -15 = 5*v. Suppose 0 = -0*r + 4*r - 72. What is the smallest common multiple of a and r?
18
Let u(d) = d**3 - 4*d**2 + 6*d - 5. Let p be u(8). Let m = 2401/8 - p. What is the common denominator of m and ((-2)/(-8))/(11/(-231))?
8
Let y(x) = x**2 + 3. Let h be y(0). Suppose 9 = 2*a + h. Let d(r) = 7*r + 5. Calculate the smallest common multiple of d(0) and a.
15
Suppose -4*g + 156 + 139 = -5*m, 195 = 3*g + 5*m. What is the least common multiple of 49 and g?
490
Let l = -11971/242 + -4/121. Find the common denominator of l and 35/8.
8
Let t = 1 + 3. Suppose 11*s = s + 180. What is the least common multiple of t and s?
36
Suppose -3*z - 3*g - 2*g + 157 = 0, -1 = g. What is the lowest common multiple of z and 48?
432
Let d(l) = 62*l**2 + 16*l + 51. Calculate the least common multiple of d(-3) and 11.
561
Let d be (-1959)/(55/(-10) + 4). Let t = -10427/8 + d. What is the common denominator of t and 5/8?
8
Suppose -29*n + 30*n + 2 = 0. Calculate the common denominator of -23/4 and (-2)/(-130)*95/n.
52
Let p = 213 + -84. Calculate the least common multiple of p and 6.
258
Calculate the common denominator of -3/115 and ((-81)/180)/((-1)/(-24)).
115
Suppose -23*z + 220 = -13*z. Let a(r) = -r**3 + 5*r**2 - 4*r. What is the lowest common multiple of a(3) and z?
66
Let m = 3599/60 + -307/5. What is the common denominator of m and 1/6?
12
Find the common denominator of ((-4)/(-30))/((-12)/(-120)) and (14/(-3))/(8/33).
12
Suppose p + 35 = 4*f + 2*p, -5*p - 35 = -f. Find the common denominator of 69/2 and ((-1305)/2550)/((-2)/f).
34
Suppose -2*g + 2 = 0, h + g = 1 + 4. Suppose y - 6 = k, h*k + 3 - 9 = y. What is the least common multiple of y and 10?
10
Let b = 110 + -90. Let a(n) = -n**2 + 9*n - 7. Let v be a(7). Let d = v - -3. Calculate the smallest common multiple of b and d.
20
Let p be (2576/40)/((-3)/15). Calculate the common denominator of 81/8 and (p/49 - -7)/((-8)/(-434)).
8
Let v(i) = i - 5. Let o(x) = 6*x - 36. Let q(b) = -6*o(b) + 45*v(b). Let p be q(5). Let a = p - 10. What is the least common multiple of a and 2?
26
Suppose 0 = -2*k - 2*q - 1 + 53, 5*k - q = 136. What is the least common multiple of 3 and k?
27
Let q = 685687/14 + -49046. Let z = 9799/154 + q. Let c = -12443/8715 - 1/1245. Find the common denominator of z and c.
77
Suppose 0 = 5*p - 21*y + 16*y - 885, 5*p + 2*y - 878 = 0. Calculate the least common multiple of 144 and p.
1584
Let a be (1 - 2)/(2/(-120)). Suppose -5*p + 29 = w - p, 0 = 4*w - 2*p - 26. Calculate the common denominator of -95/2 and w/(-15) + (-27)/a.
20
Let o = -127811/33754 + 2/2411. What is the common denominator of o and -47/14?
14
Suppose -4*d = 27 + 69. Let p be (494/(-65))/(-2 - 9/(-5)). Let f = d + p. What is the smallest common multiple of 18 and f?
126
Let a(s) = s + 7. Suppose 0 = -26*g + 34*g - 144. Let d = 28 - g. Calculate the lowest common multiple of d and a(-4).
30
What is the lowest common multiple of (-1*47)/((-75)/375) and 4?
940
Let l = 607/14 - 41. What is the common denominator of l and -8/39?
546
Let p(k) = 3*k**2 - 3*k + 4*k**2 - 7*k**2 - k**2 + 1. Calculate the lowest common multiple of p(-2) and 28.
84
Let l = 13717/4 + -3405. Calculate the common denominator of -53/160 and l.
160
Let c = 1/130859 + -8767749/25648364. What is the common denominator of -4 + 1780/280 + 0 + -4 and c?
196
Suppose 6*n = 2*n + 5*u - 268, -2*n + 4*u = 128. Calculate the common denominator of (-443)/n + (-1 - (-11)/9) and -93/14.
56
What is the lowest common multiple of 16 and 1*11 + -18 + 12 + 3?
16
Let c(q) = 14*q**2 + 2*q - 1. Let k be c(1). Find the common denominator of 69/14 and k/6*497/210.
84
What is the common denominator of (16150/(-2205))/(-17)*15/(-20) and -23/70?
1470
Let j = 172 - 204. Calculate the common denominator of 77/40 and j.
40
Let k be 2/(-7) - (-248)/(-14). Let u = 21 + k. Find the common denominator of 16/(-6) + u*-1 and -9/2.
6
Suppose -57 = -3*j + 4*t, 46 - 16 = j - 5*t. Calculate the common denominator of j/(-90)*(-202)/6 and -121/70.
630
Let l = -13041/8620 + -16/431. Find the common denominator of l and 4/6 - (-1196)/(-336).
140
Let d(q) be the second derivative of q**3/3 + 3*q**2 + 6*q. Calculate the lowest common multiple of 6 and d(0).
6
Suppose 169*i - 52*i = 34398. Calculate the lowest common multiple of i and 42.
294
Let a(h) = h**2 - 30 + 8 + 15 + 4*h. Calculate the common denominator of a(-4) and 115/6.
6
Let i = -61/18 - -62/9. Calculate the common denominator of i and -63/158.
158
Let f be (-27)/(-5) - (-6)/(-15). Suppose 13 = f*q - 12. Suppose 0 = -4*l - 4*w - 4, -q*l + 13 = -w - 0*w. Calculate the smallest common multiple of 10 and l.
10
Let r = 28 - 28. Suppose r*f = -4*f + 48. Calculate the lowest common multiple of f and 20.
60
Let b = 31 + 29. Let v = -38 + b. What is the smallest common multiple of v and 20?
220
Let t = 5/1467 + -32429/45477. Calculate the common denominator of t and -97/14.
434
Let p(n) = -4*n - 15. Suppose 52 = -3*f + 34. Calculate the lowest common multiple of p(f) and 24.
72
Let m = -16 - -29. Let f = m - 2. Suppose -5 + f = i. What is the least common multiple of 9 and i?
18
What is the common denominator of 7/(49/21) + 233/(-30) and 55/18?
90
Suppose p - 3*b = 2*p + 4379, -b = 4*p + 17527. Let o = 48163/11 + p. Calculate the common denominator of -57/5 and o.
55
Let b be (-2 - -1) + (2 - 3 - -3). Let h = 7 + b. Calculate the smallest common multiple of h and 12.
24
Suppose -2*n + 3*b = 2*n - 165, -4*n + 169 = b. Let h = n - 20. Let p(y) = -2*y + 6. Calculate the smallest common multiple of p(-5) and h.
176
Suppose 0 = -260*b + 242*b + 5400. Calculate the smallest common multiple of b and 12.
300
Let c = 728 - 716. What is the smallest common multiple of 189 and c?
756
Suppose 0 = -3*w + 8*w - u - 845, w - 3*u = 183. Calculate the smallest common multiple of w and 126.
504
Suppose -2*q + p = 3*p - 12, -3 = -3*q + 2*p. Let y = 11 + q. Let h(x) = x**3 + 5*x**2 + 4*x + 2. What is the lowest common multiple of y and h(-2)?
42
Suppose -4*p = -8 - 8. Suppose 3*y - 5 = p. What is the smallest common multiple of 14 and (2/y)/(5/75)?
70
Let y be -6*(-2 - 15550/(-5512)). Let v = 96/53 + y. Find the common denominator of -34/11 and v.
286
Find the common denominator of (-790)/8*4/180*6 and 55/174.
174
Suppose 5*v + 12 = 3*v. Find the common denominator of 25/7 and (27/(-288))/(v/28).
112
Calculate the lowest common multiple of 78 and -54*((-30)/9 + 3).
234
Suppose -5*a = -2*u - 30, -3*a = -5*u - 5*a - 17. Let z = 154 - 1847/12. Calculate the common denominator of 3 + u/200*-18 and z.
60
Let w be 2*(-4 - 1232/(-108)). Let k = 208/27 - w. Calculate the common denominator of (-69)/(-8) + 1 + -2 and k.
72
What is the least common multiple of -6*5/(-10) + 8 and 5?
55
Let a = 1696030340232215/9576 - 177112608831. Let d = 36095/133 + a. Let r = -739/9 + d. What is the common denominator of -35/18 and r?
72
What is the least common multiple of (0 - 80/(-14)) + 22/77 and 1024?
3072
Let p be (0 - -2) + 4819/4059. Let y = -2/369 + p. What is the common denominator of y and -29/22?
22
Let n(m) be the third derivative of 0 + 7*m**2 - 1/60*m**5 + 13/24*m**4 + 0*m + 1/3*m**3. What is the smallest common multiple of n(13) and 16?
16
Suppose -103 = -7*w + 387. What is the least common multiple of w and 80?
560
Let k = 797 + -704. Calculate the lowest common multiple of k and 310.
930
Let r = 1756/365 + -30/73. Let l = 213472/19765 - 2/3953. What is the common denominator of l and r?
5
Let s(r) = -2 + r**2 + 4 + 0 + 0 + 3*r. Let t be s(-2). Suppose t = 2*v + 2*o - 2, 3*o - 9 = -0*v - 4*v. What is the lowest common multiple of 2 and v?
6
Let r(w) = 6*w**2 - 11*w + 11. What is the smallest common multiple of r(4) and 21?
63
Let l = 5339 - 64145/12. Find the common denominator of 0 + (-1 - (-476)/(-24)) and l.
12
Suppose 0 = 5*m - m - 12. Let y(w) = -w**2 - 2*w + 6. Let t be y(m). Calculate the common denominator of -1 - ((-954)/(-40))/t and 117/10.
20
Let t(l) = 21*l - 226. What is the smallest common multiple of t(14) and 10?
340
Let p = -527 - -1101/2. Let k = 856 - 2515/3. What is the common denominator of k and p?
6
What is the smallest common multiple of (-26)/(-2) + 8 + -16 + 3 and 3?
24
Let k = -80062 - -11208593/140. What is the