3
Find the common denominator of -2 - (-2)/(4/39) and 81/2.
2
Let z be -3 - (-3 + 6*33). Find the common denominator of z/(-28) + (-5 - -4) and -11/10.
70
Find the common denominator of (329/14)/((-14)/4) and -27.
7
Suppose -5*l = 5, -g + 2049 + 4538 = -5*l. Let h be 6/10*g/(-144). Let f = h - -177/8. Calculate the common denominator of -139/6 and f.
30
Let c(d) = d**3 + 12*d**2 + 14. Calculate the lowest common multiple of 22 and c(-12).
154
Suppose 0*w + 32 = 3*x - 4*w, 27 = 2*x + 3*w. What is the common denominator of x and 429/(-36) - 2/(-8)?
3
Let y = -81407/26718 - -186/61. Let s = y + -989/1533. Find the common denominator of s and (-78)/(-22) - 3/6.
154
Suppose -4*u = -u - 36. Calculate the smallest common multiple of 2 and u.
12
Suppose 4*k - 36 = 4*c, c - 25 = -4*c. Suppose 21 = 4*d + 1. Suppose -u = 2, d*u + 11 = 2*f - 31. Calculate the least common multiple of k and f.
112
Let w be (-5 + 6)*0/2. Suppose w = -5*d + 76 - 21. Calculate the least common multiple of 3 - (-1 - -1)/1 and d.
33
Let t = -16 - -22. Let k = 8 + t. Let w = k - 0. What is the least common multiple of 6 and w?
42
Let y = 22 - 15. Calculate the common denominator of 5/8 and (8 + -6)*(-24)/y.
56
Suppose 3 + 9 = 3*l. Let y(r) = 2*r - 8. Let i be y(6). Suppose 2*h - i*h = -20. Calculate the lowest common multiple of l and h.
20
Let w = 250 + 160. Find the common denominator of (w/16)/5 + 2 and 31/2.
8
Suppose -o = 3*o - 16. Suppose -o*r + 24 = -r. Find the common denominator of 4/14 + (r - 1) and 74/3.
21
Let h(s) = 7*s. Let g be h(3). Let q = g + -9. Calculate the least common multiple of q and 6.
12
What is the common denominator of 85/26 and 2/(-54)*393/2?
234
Suppose -g = g - 4. Calculate the least common multiple of (0 + 3)*((-5)/15)/(-1) and g.
2
Let j(x) = -10*x - 17. Calculate the least common multiple of j(-2) and 21.
21
Let r(g) = 7*g**3 + g - 2. Calculate the least common multiple of 6 and r(1).
6
Let s = 1807/451 - 4/41. Suppose 2*t - 47 = 5*h, h - 4*h + 5*t - 13 = 0. Find the common denominator of s and h.
11
Suppose 3*b = 2*l + 4 - 17, 2*l = -4*b - 8. Let k = b - -3. Suppose 5*s + 4*h - 2 = k, -3*h - 2 + 4 = 4*s. Calculate the least common multiple of s and 10.
10
Let f be 4 + (-2)/(-6)*3. Suppose 4*v = -4*q, -q = q - f*v - 28. Calculate the smallest common multiple of q and 16.
16
Let q = 100 + -96. What is the lowest common multiple of q and 37?
148
Let w(u) = -u**2 + 15*u + 24. What is the smallest common multiple of w(16) and 56?
56
Suppose -3*w + w + 2 = 0. Let y = 5 + -1. Suppose -c = y*c - 40. Calculate the least common multiple of w and c.
8
Let t be 3*1*(-12)/6. What is the common denominator of (-47)/(-6) - 4/t and 2/(-2) + (-162)/(-20)?
10
Suppose -5*x = -7 - 8. Let b = x - 3. What is the common denominator of (-2)/((-8)/59*1) and b?
4
Suppose -2*u + u - 3*y - 15 = 0, -y - 1 = 0. What is the common denominator of (-74)/u + 8/(-32) and -91/10?
60
Suppose -5 - 103 = -3*q. What is the common denominator of 434/40 - 1/4 and (-6)/(-27) + 289/q?
20
Let u = 1620481/36 - 45023. Let t = u + -28/9. What is the common denominator of 99/2 and t?
4
Suppose 7 = -0*r + r. Suppose 3*m + 8 = -1. Calculate the least common multiple of r and m/(2/(2/(-1))).
21
What is the common denominator of (-7)/(-12)*16*(-2)/(-12) and ((-29)/(-3))/((-2)/9)?
18
Let l(s) = s**2 + s + 8. Calculate the least common multiple of (-86)/(-6) - 10/30 and l(0).
56
Let q(j) = -j**3 + 8*j**2 - 8*j + 8. Let h be q(7). Find the common denominator of (-1)/(4/(-150)) + 0 and h + 1/(10/102).
10
Let g(z) = z**2 - 2*z - 9. What is the least common multiple of 20 and g(-3)?
60
Suppose 2*i = -2*i + 24. Suppose -4*g = -69 - 3. What is the lowest common multiple of i and g?
18
Let i = 21 + -28. Suppose 0 = 3*d - 4*t + 19, d + t + 1 = -4*d. Let s = d - i. What is the smallest common multiple of s and 8?
24
Let s = 77/3 - 20. Calculate the common denominator of -70/9 and s.
9
Let f(w) = -w**3 + 11*w**2 - 3*w + 7. Let n(y) = -2*y**3 + 22*y**2 - 6*y + 15. Let q(a) = 11*f(a) - 6*n(a). Calculate the least common multiple of q(11) and 22.
220
Let o(z) = 4*z + 5. Let i be o(4). What is the common denominator of -83/4 and 0 - -2 - 54/i?
28
Let v(s) = -s**3 + 7*s**2 - 6*s + 3. Let f be v(6). Suppose -22 + 64 = f*h. Let y(b) = -3*b**2 + 5*b + 12. Calculate the smallest common multiple of h and y(0).
84
Let y be (-143)/(-2) - (-1)/(-2). What is the common denominator of -3 - (-2)/((-16)/y) and 11/10?
40
Let j = -90729549259/158786176075 - -36/13600529. Let g = 24/467 + j. Find the common denominator of g and 54/11.
275
Suppose -4*o - 45025 = o. Let p be (-2)/(-5) + o/(-1140). Let f = -1/1140 - p. Calculate the common denominator of f and -51/8.
40
Let a = -42 + 81/4. Let d = 31 - 43. Let v = d + 8. Calculate the common denominator of a and v.
4
Suppose 0 = -7*g - 34 + 104. What is the lowest common multiple of 3 and g?
30
Let d(v) = -13*v - 19. What is the lowest common multiple of d(-5) and 6?
138
Let l = -41889/1088 + 1/1088. Find the common denominator of 51/11 and l.
22
Suppose -3*t = -5*l + 210, -84 = -2*l - 3*t + 5*t. Suppose 4*u - u = l. Calculate the smallest common multiple of 12 and u.
84
Let t(y) = y**3 - 5*y**2 + 6*y - 4. Calculate the smallest common multiple of 2 and t(4).
4
Calculate the smallest common multiple of (-20)/110 - (-92)/22 and 30.
60
Let l(d) = d**3 + 6*d**2 + 4*d - 2. Calculate the lowest common multiple of l(-5) and 3.
3
Let l = -8229/88 + 739/8. Find the common denominator of ((-4)/(-80)*-226)/1 and l.
110
Let s = 11353 + -306497/27. Calculate the common denominator of -11/36 and s.
108
Let j(w) = -2*w**3 - 4*w**2 + 4*w + 9. What is the smallest common multiple of j(-3) and 11?
165
Let x(d) = d**2 + 6*d + 5. Let b be x(-7). Let o = -4 + b. Suppose 3*r + 5*k = 4, 5*k = -4*r + 2*k + 20. What is the smallest common multiple of r and o?
8
Suppose -4*m = -7 - 1. Let c = -541/2 - -1029/4. Find the common denominator of c and ((51/m)/(-3))/1.
4
Let c = -157 - -635/4. Let m = -13347747 + 7848466799/588. Let j = -3/196 - m. Find the common denominator of c and j.
12
Suppose 3*s - 84 = 66. Let l = -3/11683 + 1039895/420588. Let w = -7/9 - l. What is the common denominator of w and s?
4
Let h = 13225/6 - 2223. Calculate the common denominator of h and -29/4.
12
Suppose g - 18 + 10 = 0. What is the lowest common multiple of g and 2?
8
What is the common denominator of ((-1819)/(-85))/(24/(-5)) and -13/12?
24
Suppose u + 4*q - 15 + 2 = 0, -2*u + 2*q = -6. Suppose u*d = d - s + 90, -3*d + 56 = -5*s. Calculate the lowest common multiple of d and 10.
110
What is the smallest common multiple of 16 + (-8 - -4 - -8) and 12?
60
Let x(j) = -j + 2. Let c = -10 + 1. What is the least common multiple of 4/3*(-30)/(-20) and x(c)?
22
Let y be (-378)/(-2)*3322/(-2). Let t = y + 1269327/4. Let f = t - 3428. Find the common denominator of -65/8 and f.
8
Suppose -44 - 4 = 4*r. Let s = -3 - r. Calculate the least common multiple of s and 1.
9
Suppose -3*c - 4*a + 0*a = 34, 3*c + 50 = 4*a. Let y be c*(14/(-4) - -2). Suppose 3*h - y - 3 = 0. Calculate the least common multiple of 12 and h.
24
Let t = -421 - -1629/4. What is the common denominator of t and 55/2?
4
Suppose 4*x + a - 87 = 0, -2*a = 2*a + 4. What is the lowest common multiple of (-4 - 25/(-10))*-12 and x?
198
Suppose 111 = 5*q - 2*q. Let w = q + -80. Calculate the common denominator of -68/9 and w.
9
Let z(w) = -w**2 - 2. Let t(f) = f**3 + 6*f**2 + 4*f - 7. Let j be t(-5). Let x be z(j). Find the common denominator of (-65)/42 + (-2)/x and 29/22.
154
Let g be (-4)/(-2) - (1 - -1). Suppose -2*s + 6*s - 16 = g. What is the common denominator of 3/s*(-142)/12 and -9/8?
8
Let z(g) = 2*g**2 - 6*g - 6. Calculate the smallest common multiple of 4 and z(6).
60
Suppose v + 12 = 4*v. Calculate the lowest common multiple of ((-2)/v)/((-7)/28) and 14.
14
Find the common denominator of 31/7 and (-4)/(-45) + (-6)/30.
63
Suppose -2 = i + 2*o, i = 2*o - 6*o - 6. Let n be 234/(-248) + i/4. Let q = 6/31 + n. What is the common denominator of -113/18 and q?
36
Suppose 13 = -p + 4*a - 33, 2*p + 3*a + 125 = 0. Let t = 35 + p. What is the common denominator of (8/(-18))/((-2)/105) and t?
3
Suppose 0 = 2*a - h - 10, 0 = a - 7*h + 2*h - 14. What is the least common