9*k - 3. Let m be p(5). Suppose -134 = 3*z + z - 3*g, z = 5*g - m. Find the common denominator of 19/11 and 31*(-3 - z/11).
11
What is the smallest common multiple of 20 and -22*(-4)/(-8)*-2?
220
Let d(k) = 6*k - 11. What is the smallest common multiple of 3/6*(2 - -26) and d(3)?
14
Let c(z) = 0*z - 7*z + 6 + 2*z - z**2. Let x be c(-6). Suppose -4*l = -x*l - 48. Calculate the least common multiple of 16 and l.
48
Suppose t + 2*l = 3, 7*t - l = 5*t + 26. Suppose m - 6*m + 45 = 0. What is the least common multiple of t and m?
99
What is the common denominator of 28/17 and (-3770)/700 + 4/14?
170
Find the common denominator of 61/2 and 21/(-6)*57/18.
12
Let x = -88/3 - -227/9. Let q = -7663 - -69037/9. What is the common denominator of q and x?
9
Let f be (-138473)/1001*36/120. Let w = 2/5005 + f. Calculate the common denominator of w and 13/7.
14
Let p be (1 + -2)*2 + -8. Let n = p + 18. What is the lowest common multiple of n and 20?
40
Let j = -81 + 156. Calculate the least common multiple of j and 24.
600
Suppose -3*f + 6 = 0, -2*j + 5*f = -0*j - 308. Let g = j + 84. Let h = g - 4357/18. Calculate the common denominator of 89/14 and h.
126
Calculate the common denominator of 3 + -7 - 0 - 298/(-64) and 11/14.
224
Let b = -46/43 - -2650/387. What is the common denominator of 4/11 and b?
99
Let g be (-1)/926*2/(-1304). Let y = 7491656687/3018760 + g. Let j = 2479 - y. What is the common denominator of -87/10 and j?
10
Suppose -2*u - 3*b - 2 = -1, -4*u = 3*b - 7. Suppose l = u*l - 3, -5*l = -5*o + 40. Suppose t - o = 1. What is the least common multiple of 9 and t?
90
Let y = -2463/5 + 19499/40. What is the common denominator of y and -57/20?
40
Suppose 3*i = -2*i - 90. Let z be 3*3/9 + i. What is the smallest common multiple of 10/(-15) - z/3 and 5?
5
Suppose 0 = 4*q - 4*n + 2988, -q + n - 2*n = 757. Let h = -1473/2 - q. What is the common denominator of (-2)/6*-2 + -5 and h?
6
Suppose -17*f = -12*f + 5. What is the common denominator of -53/10 and 266/(-36) + f/2?
90
What is the least common multiple of 3 and (6 - 0) + (17 - 15)?
24
Let a(f) be the first derivative of -f**3/3 + 11*f**2/2 - 9*f - 2. Calculate the smallest common multiple of 8 and a(10).
8
Let m(w) = w**2 - 2*w + 2. Suppose 51 = 4*y + 6*t - t, -3*y - 4*t = -38. Calculate the smallest common multiple of m(3) and (y + 0)*19/38.
35
Calculate the common denominator of (75/7)/(4/7) and -21/22.
44
Let t = 4 + -2. Calculate the common denominator of ((-9)/5)/(2/(-11)) and (-88)/(-28) + t + -2.
70
Let x(y) be the first derivative of -y**4/4 - 3*y**3 - 9*y**2/2 + 10*y + 3. What is the least common multiple of 16 and x(-8)?
144
Suppose -8 = v - 5*v - 5*w, -4*v + 4*w = -44. Suppose -10*p + 60 = -4*p. Calculate the smallest common multiple of p and v.
70
Let m(q) = -10*q - 40. What is the least common multiple of 22 and m(-5)?
110
Let i(q) = 2*q**2 - 3*q - 1. Let k be i(-2). Suppose 4*x = -k - 39. Let v = x + 25. What is the lowest common multiple of v and 14?
84
Suppose 2*r - 22 = 6. What is the smallest common multiple of 22 and r?
154
Suppose 3*v + v + 88 = 0. Calculate the smallest common multiple of (4/4)/((-2)/v) and 1.
11
Suppose -9 - 9 = -w. Let m = -33 + w. Find the common denominator of ((-58)/5)/(28/m) and 27/20.
140
Suppose -3*b - 5 = -5*s, b = -2*s + 4*s - 2. Let n = 0 + 6. Calculate the smallest common multiple of s and n.
6
Let a = 8 + 2. Let h = a - 6. Suppose 2 - 4 = 2*f, h*u = 2*f + 26. Calculate the lowest common multiple of u and 6.
6
Let r = 20639/22 + -934. What is the common denominator of 43/20 and r?
220
Suppose 0*g - 9 = -g. Suppose -q + 23 = 3*t - 0*q, t = q + g. What is the smallest common multiple of 22 and t?
88
Suppose 4 = -3*s - 2, 5*f = s + 7. Let g = -1 + 1. Suppose -c - k + 3 = 0, -2*c + g = k - 7. What is the smallest common multiple of c and f?
4
Let g = 4/179 - -13592/537. Let x(c) = -2*c - 2. Let l be x(-2). Suppose -l*k - 45 = 2*z - 7*k, 0 = 3*z + k + 76. What is the common denominator of z and g?
3
Suppose -3*p = -0*p. Suppose -3*q + 8*q - 80 = p. Calculate the lowest common multiple of (2 - (0 + 1))*22 and q.
176
Let z = -93 - -97. What is the lowest common multiple of z and 70?
140
Suppose 3*f = 40 - 16. Let r = 43/2 - -1. Find the common denominator of 4/(-5)*66/f and r.
10
Let s = -9/938 - -30151/14070. Calculate the common denominator of -62/5 and s.
15
Suppose 3*j - 2*j - 7 = -2*p, -3*p - 17 = -4*j. Let w be (0 - 1) + (p - -18). Find the common denominator of -37/4 and (-4)/w - (-2276)/(-288).
8
Let s(f) = -3*f**3 + 2*f**2 + 2*f + 1. Suppose 12 = 5*z - z. Suppose j - z*j = 2*i - 12, -8 = 2*j. What is the least common multiple of s(-1) and i?
20
Suppose -4*s + 2 = 3*d, 0*s = -2*s + 2*d + 8. Let q(b) = b**2 + 2*b**2 + s*b - 2*b**2 + 5*b + 1. What is the lowest common multiple of q(-7) and 9?
9
Let s = 2075/12 + -170. What is the common denominator of s and 0 + 1/(18/(-19))?
36
Suppose 50 = 8*h - 3*h. Let s = h - 0. What is the least common multiple of s and 28/3*3/2?
70
Let v = -1821 + 21935/12. Let p = 1042/3 + v. Let r = p - 351. What is the common denominator of r and 11/16?
16
Let y = 37537/11176 + 5/1016. Let r = 1555/8 - 194. Calculate the common denominator of y and r.
88
Suppose -4*v = -133 + 13. Suppose -4*l - 5 = -3*f + 22, 3*f - 5*l - v = 0. Calculate the smallest common multiple of 10 and f.
10
What is the smallest common multiple of 16 and (12/1)/(12/8)?
16
Let b = 18563 + -11088. Let i = b + -142058/19. Find the common denominator of 54/7 and i.
133
Let x = 6 + -6. Let m = 10 - x. What is the least common multiple of 20 and m?
20
Find the common denominator of -9/2 and -16 - -14 - 13/(-12).
12
Let n be (-10)/4 - (-8)/16. Calculate the smallest common multiple of 2 and 2/4 - 1/n.
2
Suppose -3*n - 2*o - 6029 - 8586 = 0, -3*n = o + 14620. Let h = -1358 + n. Let i = -124737/20 - h. Find the common denominator of 83/8 and i.
40
Let c = 153286/7185 + -2/2395. What is the common denominator of c and 58/15?
15
Let d = -360505/3 + 493925/4. Let v = d + -3307. What is the common denominator of v and -17/6?
12
Let n = 47457/11 - 4318. Let b = 135 - 392/3. Find the common denominator of b and n.
33
Let m(u) = -u**2 - 8*u - 1. What is the smallest common multiple of 24 and m(-5)?
168
What is the common denominator of -17/18 and -3 - (-452)/(-24)*-1?
18
Let m(p) = p**2 + 5. Suppose 0 = 5*z - b + 3*b - 15, -4*z + 4*b + 40 = 0. Calculate the least common multiple of m(0) and z.
5
Let r(c) = 2*c + c**2 - c + 2*c. Let v be r(-4). Calculate the least common multiple of 11 and (-1)/v + 25/4.
66
Let m = 56 + -36. Let a = 4 + 2. Suppose t = a - 2. Calculate the least common multiple of m and t.
20
Let g = -2 + 6. Suppose -24 = -3*z - 3*j, 2*z = 3*z - j. Suppose -q + z*q = 27. Calculate the lowest common multiple of q and g.
36
Let f = 1279/14 - 89. Find the common denominator of f and 2 + (1/(-18))/(4/(-316)).
126
What is the common denominator of -87/28 and 1*141*(-3)/(-54)?
84
Let y = -3594599/112 + 32095. What is the common denominator of y and -69/22?
1232
Suppose -3*y = -8 - 7. Suppose 5*u - 3 = -3*g, -g - 30 = -y*g + 2*u. What is the lowest common multiple of g and 8?
24
Let n = -1 - 1. Let l = n + 1. What is the smallest common multiple of (9/6)/(l/(-4)) and 8?
24
Find the common denominator of 4/10 - 203/20 and 4/((-60)/115) - -1.
12
Let k(q) = q**3 + 5*q**2 - 2*q - 3. Let d be k(-3). Let f = d + -10. Let u = -2 - -11. Calculate the least common multiple of u and f.
99
Let y be 2 - (-2 + 5 + 269). Find the common denominator of (-3)/15 + 591/y and -53/6.
18
Let w(k) = -4*k + 1. Let r(z) = 2*z**2 + 4*z - 4. Let u be r(-4). Calculate the lowest common multiple of ((-22)/3)/((-8)/u) and w(-1).
55
Let t(g) = -g - 3. Let n be t(-3). Suppose n = -l - 0*l - 30. Find the common denominator of l/(-4)*(-132)/20 and -75/4.
4
Let c(z) = 5*z**2 + 10*z - 3. Let i(q) = 4*q**2 + 9*q - 3. Let p(s) = 3*c(s) - 4*i(s). What is the least common multiple of p(-5) and 10?
40
Suppose 0 = 4*n - 8 - 12. Let y(b) = 2*b + 1. Calculate the least common multiple of y(n) and 2.
22
Let q = 126691/12 + -10570. Calculate the common denominator of q and -85/4.
12
Let f = 782/1727 + -2190127/103620. Let q = f - -103/12. What is the common denominator of (-41)/3*6/(-14) and q?
7