 - 2*v = 20. Let t = 8 - 4. Suppose 0 = t*c, 2*r - 22 = -c - c. Calculate the smallest common multiple of s and r.
55
Find the common denominator of 109/20 and 7/(-28)*(-53)/10.
40
Suppose t - 105 = -4*t. Let k be (-2)/(-3) + 28/t. Suppose 31 = n + 4*s, 4*s + k = 2*n - 0*s. What is the smallest common multiple of n and 3?
33
Let t = 3820 + -61055/16. Let w = 7539/1240 - -5/248. What is the common denominator of t and w?
80
Let b = 1 - -11. Let y = b - -4. What is the smallest common multiple of y and 6?
48
Let k = 0 - -4. Suppose -k*s + 5 = 17. Calculate the common denominator of 71/8 and ((-76)/(-84))/(1/s).
56
Let y = -48 - -29. What is the common denominator of y and 49/10?
10
Let h be ((-9)/(-489))/(6/4). Let u = 13207/326 - h. Find the common denominator of ((-17)/11)/(0 + 1) and u.
22
Let u(q) = q + 10. Let m be u(-8). Suppose -m*d - d = -9. Calculate the common denominator of -8/11 and 18/(-15)*(-7)/d.
55
Let i = 4066/11 - 370. Find the common denominator of i and 1 - (71/(-6) - -2).
66
Find the common denominator of 70/(-24) - 26/(-39) and -61/38.
76
Calculate the common denominator of 46/7 and (-1*(-43)/(-4))/(-1).
28
Let a = -2 + 3. Let g = -153 + 157. Calculate the smallest common multiple of 3 - a*g/(-2) and 2.
10
Let g(s) = -s**3 - 5*s**2 - 7*s - 4. What is the least common multiple of 10 and g(-4)?
40
Let m = 7 + -4. What is the smallest common multiple of m + 3*1/3 and 12?
12
Let q = 41101/10 - 4116. Calculate the common denominator of 53/12 and q.
60
Let i = 105601/22 - 4801. Calculate the common denominator of 125/12 and i.
132
Let y(w) = 7*w**3 + 2. Let s(g) = -7*g**3 - 3. Let x(q) = 3*s(q) + 4*y(q). Calculate the smallest common multiple of x(1) and ((-3)/(-4))/((-2)/(-8)).
6
Let h(z) = z**3 - z**2 - 2. Calculate the least common multiple of 5 and h(2).
10
What is the common denominator of 0/(-1) + (-116)/66 and 115/6?
66
Let s be ((-165226)/(-6))/((-80)/15). Let g = s - -5160. Find the common denominator of 51/20 and g.
80
Let z = 115972734359/35625000 - -2/4453125. Let c = z + -3246. Calculate the common denominator of c and -59/20.
40
Suppose 4*c - 91 = -3*r, -c = -r - 2*r - 19. Let m(p) = p**3 - p**2 + p + 2. Let l be m(0). Suppose l*v = 40 - 0. What is the least common multiple of c and v?
220
Find the common denominator of ((-144)/140)/(-2 + (-51)/(-30)) and 40/11.
77
Calculate the lowest common multiple of ((-24)/(-5) + -4)/(3/120) and 20.
160
Let x = -9631279 + 3910301595/406. Let f = x + -25/58. Find the common denominator of -13/7 and f.
7
Let c = 37/7 - 15/28. What is the common denominator of -41/13 and c?
52
Suppose -5*k + 5*n + 45 = 0, 3*k - k - 4*n = 26. Suppose 0 = -k*w - d + 71 - 14, -2*w + 30 = -2*d. Calculate the smallest common multiple of w and 10.
60
Let v be (-3)/(-6) + 3/(-6). Suppose 5*r + 2*k - 30 = v, -k - 16 = -5*r - 1. What is the least common multiple of r and -2 - 2/(-2)*4?
4
Suppose 4 = -0*f + f. Let k(o) = o**2 - 6*o + 5. Let d be k(f). What is the common denominator of 124/(-12)*d/10 and 16/11?
110
Let p = 212/231 + -2/33. Let w = 1 - 43. Calculate the common denominator of (-411)/w + (-4)/14 and p.
14
Let v = -15 + 23. Calculate the lowest common multiple of (0 + 0 + 2)*1 and v.
8
Let v be (-3)/(-12) - (-22)/8. Let u be (v/6)/((-7022)/4). Let f = u - 277351/63198. Calculate the common denominator of f and 27/4.
36
Suppose t + 3*t = -9716. Find the common denominator of -61/12 and 9/15 - t/(-140).
12
What is the smallest common multiple of (21 - 4) + (-5 - -2) and (4/10)/((-5)/(-75))?
42
Suppose 5*n - 7*n + 18 = 0. Calculate the least common multiple of n and 6.
18
Calculate the least common multiple of -2 - (3/(-2))/((-6)/(-56)) and 6.
12
Let x be (-2763)/279*1/(-10). Let g = -22/31 - x. Find the common denominator of g and 10/13.
130
Let d = 8/5 + -61/35. What is the common denominator of d and -73/6?
42
Suppose 2*c + 5*n - 25 = 0, -10 + 56 = 5*c - 4*n. Calculate the lowest common multiple of c and 14.
70
Find the common denominator of -1/5 and (-1)/(-4)*396/(-75).
25
Let m = 1062 + -29719/28. Find the common denominator of 77/18 and m.
252
Suppose -28*r + 33*r = 40. What is the least common multiple of r and 394?
1576
Let u be 84/10 - 14/35. Let r(f) = -f + 16. What is the smallest common multiple of r(u) and 4?
8
Let m = 6502593/176 - 679195/16. Let y = -5505 - m. Let k = 1234 - 22363/18. Find the common denominator of k and y.
198
Suppose 14 = -0*i - 2*i. Let x(c) = -3*c - 7. Calculate the smallest common multiple of 2 and x(i).
14
Let w = -2521/2 - -1230. Calculate the common denominator of (-1)/8*11 - -1 and w.
8
Suppose 0 = -2*r - 2*k - 58, -2*k - 75 = 3*r + 9. Let c = r + 36. Calculate the lowest common multiple of c and 22.
110
What is the common denominator of -114*(-3)/12*1 and 49/50?
50
Let x = -4099/20 - -971/5. What is the common denominator of 51/92 and x?
92
Find the common denominator of (86/(-6))/((-48)/(-9)) and 41/2.
16
Suppose 2*k + 0*k + 14 = 0. Let f = k + 12. Suppose 0 = 4*r + 3*y - 32, f*y + 0*y + 32 = 4*r. What is the least common multiple of 10 and r?
40
Let t = -9555/4 + 2410. What is the common denominator of t and (-4)/10*(-2 + 14)?
20
Suppose -2*p - 5 + 1 = 0. What is the common denominator of 1*237/(-12) - p and -3/8?
8
Let b = -1240/9 + 2297/18. Let u be -1*1 - (-388)/385. Let c = 8837/2310 + u. What is the common denominator of b and c?
6
Let p = 20686 - 537773/26. Calculate the common denominator of p and -9/16.
208
Let m = 150 - 1303/9. Let f = 4509085/8 + -567441. Let x = f + 3800. Calculate the common denominator of m and x.
72
Let b(l) = -l**2 + 6*l + 8. Let k be b(8). Let g = -4 - k. Calculate the common denominator of 98/(-32) + g/16 and 95/22.
176
Let b(i) = i**2 + 3*i + 4. Suppose -a + 2*j = -2, 6*a + 13 = 2*a + j. Let m be b(a). Calculate the common denominator of 85/4 and 4 - 2 - 91/m.
8
Find the common denominator of -65/12 and (-2 - (-2)/8)*(-28)/3.
12
Suppose 4*l = -g - 2, 2*g - l + 3*l - 14 = 0. Let v = 26 + -14. What is the lowest common multiple of 0/(-2) - (0 - g) and v?
60
Suppose 15 = h - 2*q, 0*q + 10 = 2*q. Let u = h - 15. What is the lowest common multiple of u and -3 - (6/(-7))/((-7)/(-49))?
30
Let i = -1775 - -3633/2. Let x(w) = -w**3 + 7*w**2 + 6*w - 10. Let j be x(8). Find the common denominator of i and 0 + (j/4)/(-1).
2
Let a = -4 - -10. Suppose -q - 9 + 3 = 0. Let w = 13 + q. What is the smallest common multiple of a and w?
42
Let m = -87/19 - -1627/152. Let w = 450 - 216. Calculate the common denominator of m and w/(-20)*5/(-5).
40
Let f = -4 - -9. Calculate the least common multiple of 10 and -7 + f + 24/2.
10
Let f(a) = a**3 + 3*a**2 - 19*a. Calculate the lowest common multiple of f(-6) and 9.
18
Suppose 34 = 3*t - 26. Calculate the lowest common multiple of t and (3/(-2))/((-30)/280).
140
Let d(p) = 4*p**2 - 3*p - 3. Let k be d(-3). What is the common denominator of 119/20 and 99/243*k/(-4)?
180
Suppose 3*k - 16457 = 3451. Let q = -39925/6 + k. Find the common denominator of -31/10 and q.
30
Suppose -5*c = 4 - 19. Suppose 4*r = -i + 24, r = c*i - 0*r - 33. What is the least common multiple of i and 3?
12
Calculate the common denominator of 51/(-34) - (-78)/14 and 17/8.
56
Let j(u) = u + 8. Let o = 95 + -38. Let t be 4/(-16) + o/(-12). What is the lowest common multiple of 1 and j(t)?
3
Let x be ((-7)/669)/((-18)/6). Let d = -79639/8028 + x. Calculate the common denominator of d and -73/10.
60
Let j = 1614819/26 + -62092. Let z = -12/13 + j. Find the common denominator of -15/8 and z.
8
Let q(i) = -i**2 + i + 1. Let d be q(-1). What is the common denominator of d - (8/(-9) + -1) and 73/(1/(3/(-27)))?
9
Suppose -4*g - g = -27695. Let n = -126917255/16 - -7937863. Let j = n - g. Find the common denominator of -91/16 and j.
16
Let m(i) = i - 7. Let k be m(10). Suppose -18 = -t + 2*c, t = k*t - 5*c - 40. Calculate the smallest common multiple of t and 6.
30
Suppose -p + 236 = 5*r + 75, -2*r + 61 = -3*p. Find the common denominator of 17 and r.
1
Suppose -131 = -5*f - 2*t + 117, t = 5*f - 236. Find the common denominator of (-556)/f - 1/1 and -123/20.
60
Suppose -4*x + 2*u + 0*u + 82 = 0, -x = -2*u - 28. Calculate the smallest common multiple of 6 and x.
18
Let y = 40 - 27. Let d = y - 4. Calculate the smallest common multip