 d. Suppose -3*u + 5*q - 1 = 0, -23 + 0 = -u - 3*q. What is the least common multiple of f and u?
8
Let f be (16/12)/(1/9). Suppose -f = l - 52. Suppose 4*b + b = l. Calculate the common denominator of b and -39/11.
11
Let r be (-50)/(-15)*(-6)/(-5). What is the least common multiple of 5 and (22/r)/(4/8)?
55
Suppose 3*l - 4*i + 14 = 5*l, -3*l + 14 = -i. Suppose 3*w + l*t - 33 = 0, -w = 3*w - 3*t - 15. What is the smallest common multiple of w and ((-2)/(-2))/1 - -2?
6
Let f(m) = -8*m**3 + m**2 - 1. Calculate the smallest common multiple of f(-1) and 4 + 1 + (-12)/4.
8
Find the common denominator of -20/11 and (-38)/10 + (-12)/(-20).
55
Suppose x = -3*x + 32. Let q(c) = c**3 - 9*c**2 + 9. What is the smallest common multiple of q(9) and x?
72
Let j = -10 + 20. Let h(d) = -d**3 - 2*d**2 - d - 1. What is the smallest common multiple of h(-2) and j?
10
Let r = 4 - 1. Suppose 0 = 3*w + 4*v - 17, v - 3*v + 47 = 5*w. Calculate the smallest common multiple of w and r.
33
Let t = 10 - 26. Let a = t + 11. Calculate the common denominator of (-1)/a + 212/140 and 39/7.
7
Let d be (-35186)/6*(-21)/(-6906). Let y = d + -1/1151. What is the common denominator of y and 19/4?
12
Suppose -3*y - 44 = -5*u, 2*y + 14 = -5*u + 68. Suppose -5*v = 3*l + 7, 3*l + l - 3*v = u. Calculate the lowest common multiple of 3 and l.
3
Let r be (4/(-6))/((-10)/120). Let t(y) = y**2 - 8*y + 20. Calculate the lowest common multiple of t(r) and 2/3*(10 - -2).
40
Let y be 2/10 - (-304)/(-20). Find the common denominator of (-17)/(-50)*y/2 and 45/16.
80
Let d = 4150590819883/3108 - 1335453920. Let n = d + -1/777. What is the common denominator of 2/9 - (-829)/198 and n?
44
Let q = -1/2835 - -44957/5670. Calculate the common denominator of q and 36/7.
14
Let v = -40 + 56. Calculate the least common multiple of v and 18.
144
Suppose 0 = 5*q - 8 - 7. Let f(w) = 5*w + 1. Let v be f(-3). Let m = v - -22. What is the lowest common multiple of m and q?
24
Let y = -9 - -12. Suppose 2*t = y*t - 15. Suppose -4*j - 5*l + 42 = t, -j + 3*l + 11 = 0. Find the common denominator of -49/3 and j.
3
Let n(v) = v**3 - 5*v**2 + 2*v + 3. Let c be n(4). Calculate the smallest common multiple of 5 + 0/3 + 0 and (6/c)/(12/(-40)).
20
Let i = -645/476 + -5/68. What is the common denominator of 43/6 and i?
42
What is the common denominator of 13/(-21)*9/(-2) and (36/(-70))/((-20)/(-125))?
14
Suppose 3*u - 4 = -16. Calculate the common denominator of 1/3 - (-68)/12 and 53/(-4)*2/u.
8
Let s = 82 - 71. Suppose 4*x - 29 = -5*d - 0*d, 0 = 5*x - 5. Calculate the smallest common multiple of s and d.
55
Let v = -183 - -2197/12. Calculate the common denominator of 1/3 + 434/(-24) and v.
12
Suppose -4*g - 3961 - 25250 = -3*x, -19475 = -2*x + 3*g. Let n = x + -77765/8. What is the common denominator of n and 41/14?
56
Suppose -j - 2*j = -30. What is the lowest common multiple of (-1)/2*-1*12 and j?
30
Suppose -5*c - 2*y = -135, 6*y - 81 = -3*c + 11*y. What is the lowest common multiple of c and 42?
378
Let b(g) = 5*g**2 - 2*g - 1. What is the lowest common multiple of b(-1) and (-21)/(-15) + (-34)/85?
6
Suppose 2*s = -0*s - 2. Let j = s + 3. Calculate the least common multiple of 3 and j.
6
Let s(v) = v**3 + 5*v**2 - 5*v. Let t be s(-6). Let z be ((-15)/2)/(t/80). Suppose 0 = 8*c - 3*c - z. Calculate the least common multiple of c and 4.
20
Let n(v) = -10*v. Suppose -1 - 3 = 4*o. Calculate the lowest common multiple of 10 and n(o).
10
Let b = 536 - 1579/3. Find the common denominator of b and -10.
3
What is the common denominator of -14*(-18)/(-240)*(-52)/(-6) and -89/96?
480
Let y = -3 + 0. Let u = y + 19. Suppose -2*n + 36 = a, -a + 109 - 41 = 4*n. What is the smallest common multiple of u and n?
16
Let o = -3/425 - -6399/3400. Find the common denominator of o and -109/70.
280
Let c = -452123/64080 + 1/21360. What is the common denominator of 53/16 and c?
144
Suppose -i = i - 22. Calculate the lowest common multiple of i and 7/(-28) + 41/4.
110
Suppose 0*z = -2*z + 6. Let w = -17 - z. What is the least common multiple of 10 and 6/(-5)*w/6?
20
Let j = -8/207 + -1775/2277. Calculate the common denominator of j and 19/(((-45)/(-2))/9).
55
Let p(b) = -4*b - 14. What is the smallest common multiple of 54 and p(-5)?
54
Let u = 95 + -91. Let j = 11 - 8. Calculate the smallest common multiple of j and u.
12
Suppose s = -2 + 9. Calculate the lowest common multiple of 21 and s.
21
Suppose 6*z = 2*z - 28. Let o(t) = t**3 + 6*t**2 - 6*t + 9. Calculate the least common multiple of o(z) and 22.
22
Let t(p) = -p + 1. Calculate the lowest common multiple of 5 and t(-5).
30
Find the common denominator of 43/7 and (2/(-14))/(6/(-161)).
42
Suppose -5 = 3*y - 20. Suppose 4*h + 16 = 4*i, 5*i + 2*h - 54 + 6 = 0. What is the least common multiple of i and y?
40
Suppose 5*o = -20 + 25. Calculate the lowest common multiple of o and 6.
6
Let t(g) be the first derivative of -g**4/2 + g**3 + 5*g**2/2 - 3*g + 1. Let i be t(-4). Calculate the common denominator of -71/2 and i/(-24) - (-2)/4.
8
Let i = 2/541 + 35141/6492. Find the common denominator of 149/18 and i.
36
Let g be (-3)/2*(-8)/(-6). Let n = g - -7. Suppose -u + 3*u = -5*j + 48, -n*u - 5*j = -90. What is the smallest common multiple of 12 and u?
84
Let j = 11 - 4. Let d(y) = -y**3 - 3*y**2 - 4*y - 2. Let g be d(-2). What is the least common multiple of (j/2)/(g/4) and 4?
28
Let d be (-1232)/42 - (-2)/6. Let n = d - -35. Suppose 0*q = 3*q + 4*p - 9, -q = -p - 10. What is the lowest common multiple of n and q?
42
Let q = 1523/80 + -159/16. What is the common denominator of (14/(-6))/(22/21) and q?
110
Let d be 2/(3/(6*1)). Suppose 2 = -a + d. Suppose 0 = -a*g - 11 + 39. Calculate the least common multiple of 22 and g.
154
Suppose 3*h = 2*h + 16. What is the common denominator of 81/8 and ((-344)/h)/(1/2)?
8
Let v(l) = l**2 + 2*l + 4. Let r be v(-5). Let b = -11 + r. Calculate the smallest common multiple of b and 8.
8
Let r be 7/(-2 + 1 + 0). Let m = r - -13. Calculate the lowest common multiple of 6 and m.
6
Let l(x) = 4*x**2 + 11*x + 6. Calculate the lowest common multiple of l(-3) and 5.
45
Let i = -13 + 19. Calculate the least common multiple of i and 10.
30
Let z = -5491 + 33017/6. Calculate the common denominator of -1/14 and z.
42
Let h be 1*(-1 + 2 + -1). Suppose h = -3*m - m. Suppose m*w = w - 20. What is the smallest common multiple of w and 16?
80
Suppose 3*z - 135 = 30. Calculate the least common multiple of 50 and z.
550
Suppose -2*v + v + 2 = 0. Let i(k) = -k**3 + 8*k**2 + 8*k + 13. Let b be i(9). Calculate the lowest common multiple of 4/(-6)*(-6)/b and v.
2
Let h = 7375/4 + -1830. Find the common denominator of 32 and h.
4
Let i be -2 + -1 + (-978)/4. Let m = i - -2399/10. What is the common denominator of 39/4 and m?
20
Let r = 36 + -4. Calculate the lowest common multiple of r and 4.
32
Let y(t) = 13*t**2. Calculate the smallest common multiple of 4 and y(1).
52
Suppose 0 = -4*n - 4*u - 4 + 64, -n - 5*u + 3 = 0. Calculate the smallest common multiple of n and 33.
198
Let u be 4/((-9)/4 + 2). Calculate the common denominator of 1 + 1/(u/62) and 59/5.
40
What is the common denominator of -29/6 and 2 - 3/(18/(-15))?
6
Suppose -28 = 4*y + 2*o, 5*o - 20 = 2*y + 3*o. What is the common denominator of ((-93)/(-4))/(y - -6) and -57/8?
8
Let p = 635/413236 - 13027187689/1563271788. Let z = p - 2/1261. Let i = 3507 + -38542/11. Find the common denominator of z and i.
33
Let d = 338 - 5405/16. Calculate the common denominator of 47/12 and d.
48
Let d = -2557/8 + 320. What is the common denominator of 57/22 and d?
88
Suppose 4*s - 48 = -0*s. Calculate the lowest common multiple of 22 and s.
132
Let w = 10 + -6. What is the common denominator of -48/7 and (w/(-48))/((-3)/292)?
63
Let a be 1450/105*(23 - -1). Let f = 390767/7 - 55484. Let l = a - f. Calculate the common denominator of l and -24.
7
What is the common denominator of ((-60)/(-108))/((-14)/96) and -91/45?
315
Let n be (1/(-12))/(4/256302). Let f = 5349 + n. Calculate the common denominator of 47/2 + 2/6 and f.
24
Suppose 17 + 13 = -5*f. Find the common denominator of 8/12 + (-22)/f and 71/2.
6
Suppose -2*p = -v + 10, 2*v = 6*p - 5*p + 20. What is the lowest common multiple of v and 7?
70
Suppose -q - 4 = -2*t + 5, -