8.
18
Suppose 5*w - 21 - 34 = 0. Calculate the smallest common multiple of w and 3.
33
Suppose -3*h + 902 = 3614. Let a = 8979/10 + h. Calculate the common denominator of a and 16/5*9/12.
10
Let o(n) = -3*n**3 - 3*n**2 - 2*n - 3. What is the least common multiple of 6 and o(-2)?
78
Let u = 0 + 8. Let l(d) = d**2 + 3*d + 4. Let w be l(-5). Suppose w = y + x, 2*y + 0*y - 4*x - 52 = 0. Calculate the smallest common multiple of y and u.
72
Let z(n) = 4*n**2 + 9*n**2 - 7*n**2 + 7*n**2 - 1. What is the least common multiple of 18 and z(1)?
36
Let x = -307 + 5214/17. Calculate the common denominator of x and 83/10.
170
Let n be -2 + -1 + 7 + -7. Suppose 2*f - 16 = 3*m, 4*f - 26 - 6 = m. What is the lowest common multiple of ((-24)/20)/(n/15) and f?
24
Let x = 5 - -3. Suppose -r - 4*r + 5 = 0. What is the lowest common multiple of x and (-5)/r - -2 - -5?
8
Let m = 54413/6 - 9045. What is the common denominator of -7 and m?
6
Let t(k) = 9*k + 1. Let o be t(-1). What is the lowest common multiple of ((-42)/8)/(3/o) and 8?
56
Let o(r) = -5*r + 16. Let v(j) = -11*j + 33. Let g(s) = 13*o(s) - 6*v(s). Let b be g(-7). Find the common denominator of b + (-2 - 130/(-4)) and 53/5.
10
Let v(a) = a**3 + 6*a**2 + 14*a + 11. Let s be v(-10). Let z = s + 2079/4. What is the common denominator of z and -43/14?
28
Suppose 0 = -2*n + 5*m - 3*m + 106, -91 = -2*n - m. Let g = -19784 + 276859/14. What is the common denominator of g and 171/n + -2 + -2?
112
Suppose 2*s - 62 = -0*s + 2*b, 88 = 3*s - 4*b. Let q be (-260)/s + 4/18. Let c = -4 - q. What is the lowest common multiple of c and 7?
21
Suppose 5*d - r - 7 = 4*d, -9 = -2*d + r. Let o(a) = -3*a + 78. What is the least common multiple of o(24) and d?
6
Let u(s) = s**2 + 0*s**2 + 0*s**2 + 5. Let l be u(0). Find the common denominator of -74/3 and 30/18*74/l.
3
Let h be (2 - -2) + 0 - 0. Suppose 1 = -h*z + 21. Suppose -16 = -z*w + 39. Calculate the least common multiple of w and 5.
55
Let f(r) = -r**3 + 3*r**2 - 2*r. Let m be f(2). Suppose -2*w - w + 2*o = -12, w = -o + 4. Calculate the least common multiple of w and m + 1/1 + 17.
36
Let q = 5 - 5. Let r(n) = -n**2 + n + 1143. Let u be r(q). Let y = u + -5773/5. What is the common denominator of y and 71/2?
10
Let i(k) = 2*k - 4. Let o be i(3). Suppose 0 = 6*p - 3*p + 9. What is the smallest common multiple of 22 and (-1 - o)/p + 11?
132
Let g(w) = 2*w**2 - 9*w + 5. Let c be g(7). Find the common denominator of (-2)/(-10) - (-102)/c and 57/4.
4
Let y = -20 - -31. Calculate the least common multiple of y and 10.
110
Let l be (-6809)/10215 - 6/(-9). Let w = l - 473297/20430. Find the common denominator of 91/6 and w.
6
Let d = 431 + -209. What is the common denominator of (d/45)/((-4)/9) and (69/(-4)*2)/(-3)?
10
Let p = -7 + 12. Suppose 5*y - 4*v - p = 0, 3*y - y + 4*v - 30 = 0. What is the smallest common multiple of 7 and (3/4)/(y/40)?
42
Let o be (-305643)/81360 + 1/3. Let y = 10/10483 + 78214/5922895. Let k = o - y. What is the common denominator of -65/22 and k?
176
Suppose -3*o + 99 = -33. Suppose 5*n = n + o. Calculate the smallest common multiple of n and 3.
33
Let v = -21452 + 622208/29. Let u = v - -2613/58. What is the common denominator of u and (224/(-35) - 11)/(4/10)?
2
Let p = -853 - -462. Find the common denominator of 93/14 and 6/15 + p/40.
56
Let q = 49/4 - 12. Let v(t) = -3*t**3 + t. Let x be v(-1). Find the common denominator of 1/x*214/(-22) and q.
44
Let p = 53/23 - -257/138. Calculate the common denominator of p and -3/5.
30
Let t = 1/3071 + -304043/42994. Calculate the common denominator of 61/86 and t.
602
Suppose 3*x + 12 = 24. What is the lowest common multiple of x and 11?
44
Let u(o) = -o - 7. Let x be u(-11). Suppose 44 = 2*g + x*i - 4, 0 = 2*g + 3*i - 45. Calculate the lowest common multiple of g and 2.
18
Let r be (59/312)/(6/(-788)). Let d be 2/39*15/9. Let n = r + d. Calculate the common denominator of n and 1/12.
12
Find the common denominator of (((-115)/(-6))/(-5))/((-56)/(-21)) and 107/14.
112
Let n(g) = g**2 + 5*g - 2. Let l be n(-5). Calculate the lowest common multiple of 20 and 1 + l*(-17)/2.
180
What is the common denominator of 23/6 and (-4 + 196/48)*-274?
6
Let a be ((-1)/37 - 0)*-80. Let n = 1534/333 - a. What is the common denominator of n and 11 - 27 - (-2 - -2)?
9
Let m(a) = a**2 - 9*a + 2. Let f be m(9). Suppose -b = 3*q - 11, -q + 5*q + 12 = f*b. Let s = 2 + b. Calculate the smallest common multiple of s and 9.
90
Let i = 3182/15 - 212. Find the common denominator of -14/33 and i.
165
Let v = -1 + 1. Suppose 4*g - 2*g = v. Suppose 2*s - 2*x = 30, g = 2*s - 3*x - 2*x - 45. What is the least common multiple of s and 11?
110
Let f = 169 - 165. Calculate the least common multiple of 12 and f.
12
Let c = 4 + -6. Let z = c - -5. Suppose -3*m + 63 = z. Calculate the least common multiple of 10 and m.
20
Suppose 2*z = -3*z + 125. Suppose z = 4*v - 7. What is the smallest common multiple of v and 4?
8
Suppose -f - 18 + 27 = 0. What is the least common multiple of f and 11?
99
Suppose 2*y + 2*y = 16. Let k be (3/(-2))/(6/(-20)). Suppose -2*a - k*s = -a + 9, y*a - 5*s = 64. Calculate the smallest common multiple of a and 7.
77
Suppose 7*t - 5 = 44. Let g = 25 - 1. Suppose 0*p - 2*p - 6 = 0, 3*n - 4*p - g = 0. Calculate the smallest common multiple of n and t.
28
Let m = 357231/815770 - 85/194. Let p = 256501/16820 - m. Calculate the common denominator of 61/2 and p.
4
Let l(q) = q**2 + 5*q + 1. Let i be l(-4). Let o = -9079/2344 - 1/586. Calculate the common denominator of 1/i + (-3)/(-6) and o.
24
Suppose 0*f = -f. Let p be f - (1 + -1) - -396. Calculate the common denominator of 1010/p + 4/18 and -29/4.
44
Let p = 23347/8 + -2913. Find the common denominator of p and -55/2.
8
Let q = -13 + -3. Let a = -735/4 + 205. Find the common denominator of a and q/(-6)*(-2 + 14).
4
Suppose 15 + 31 = 2*x. Let l = x - 3. What is the smallest common multiple of 20 and l?
20
Suppose 4*h = -0*h + 160. Suppose 0 = g + g + 2*q + h, 0 = 2*g + q + 35. Find the common denominator of (-137)/g - (-4)/24 and 5/9.
90
Let k(u) = u**2 + 3*u - 2. Let t = -6 - -26. What is the smallest common multiple of t and k(3)?
80
Suppose 2*k = 5*c - 14, -k - 2*k = -4*c + 7. What is the least common multiple of c and 7?
28
Let r be -152 - (1 + 2*-1). Let w = r - -579/4. Calculate the common denominator of 24/33*-2 + 0 and w.
44
Let w be ((-12)/90)/(424/(-3)). Let h = w - 16167/2120. What is the common denominator of h and 21/4?
8
Let n(r) be the first derivative of -r**4/4 + 2*r**3 + 9*r**2/2 + 6*r + 2. Calculate the smallest common multiple of 20 and n(7).
20
Let y be (-25)/(-4) + 1/(-4). Suppose -r + 20 - y = 0. Calculate the lowest common multiple of r and 16.
112
Suppose -7*s + 171 = -4*s. Find the common denominator of s/(-48) + (-3 - -2) and 75/2.
16
Let w = 23 + -14. Calculate the lowest common multiple of 123 and w.
369
Suppose 0 = -t - 1, 2*r + 2*t - 1574 = 410. Let b = r - 7961/8. Find the common denominator of b and 35/3.
24
Let a be -1 - (2 + 31 - 2). Calculate the least common multiple of 7 and 6/(-18) - a/6.
35
Suppose -10 = -2*h + 6. Calculate the least common multiple of 6 and h.
24
Suppose -5*a = 121 + 559. What is the common denominator of ((-3)/(-8))/(12/a) and 25/12?
12
Suppose 0 = -f - 1282 - 1943. Let z be 6/((3/f)/1). Let h = -71004/11 - z. Calculate the common denominator of 5/8 and h.
88
Let k = 28 + -2. Suppose 3*r - k = 2*d, 0*d = 3*d - 6. Calculate the least common multiple of 3 and r.
30
Suppose -o = o - 4*j, -3*o - 2 = -4*j. Calculate the least common multiple of (4 - o) + (1 - -1) and 3.
24
Let q be (-2 - 9)*25618/(-14). Let u = q + -20184. Let l = u - -961/28. What is the common denominator of 38/9 and l?
36
Let v(y) = 3*y**3 - 4*y**2 - 3*y + 2. Let g be v(-3). What is the common denominator of (-285)/36 - (-3 + 1) and (g/8)/(9/2)?
36
Let h(j) = -3*j**2 + 4*j - 23*j**3 + 2*j**2 + 1 - 3*j. Suppose -2*f + 37 - 129 = -4*q, -3*f + 16 = q. What is the lowest common multiple of q and h(-1)?
22
Let r(w) = -2*w**3 - 5*w**2 - 4*w - 1. Let o(s) = -2*s - 2. What is the least common multiple of r(-3) and o(-6)?
20
Suppose 3 = -f - 39. Find the common denominator of (-12)/(-4) - (-99)/f and -67/12.
84
Suppose -4 = -4*t + 3*t. Calculate the lowest 