
30
Suppose -12 = 5*g + 3*t, 0 = 6*g - 4*g - 2*t + 8. Calculate the common denominator of 32/6*(-12)/56 and g.
7
Suppose 2*q = 3*q - 14. Let y(p) = p**3 + 8*p**2 + 5*p + 6. Calculate the least common multiple of q and y(-7).
140
Let s = 13 + -12. Suppose -s = -3*k + 5. Calculate the least common multiple of 20 and k.
20
Let z(l) = -12*l - 30. What is the smallest common multiple of 24 and z(-5)?
120
Let x = -1 - -3. Let g(f) = 2*f + 2 + x*f + 0. Calculate the least common multiple of g(2) and 18.
90
Let s be (-384)/(-10) + (-4)/10. Let r = 60 - s. Calculate the least common multiple of 8 and r.
88
Let b(s) = s**3 + 7*s**2 + 3*s - 3. Calculate the least common multiple of 40 and b(-3).
120
Let o = -5 + 9. Suppose 0 = -o*q + 5*q - 8. Suppose 0 = 5*g + 7 - 17. What is the lowest common multiple of g and q?
8
Calculate the common denominator of ((-2)/(-4) - 1)*(-1)/16 and 43/32.
32
Let s = 93 - 85. What is the smallest common multiple of s and 44?
88
Suppose -3*x + 14 = -5*n + 3*n, -2*x - 12 = 4*n. Suppose 2*i + 3*h = 11, -1 + x = -2*i + h. Calculate the smallest common multiple of 2 and i.
2
Let r = -14/11 + 186/77. Let z = r - 23/63. Calculate the common denominator of -21/5 and z.
45
Find the common denominator of (-6)/8 - 130/(-320) and 83/8.
32
Let o(a) = -a**3 + 8*a**2 - 7*a - 4. Let w be o(7). Calculate the common denominator of 2 + 1/(w/13) and -103/14.
28
Suppose -5*r = v + 15 - 35, r = -2*v + 4. Find the common denominator of 91/8 and ((-18)/4 - v)*3.
8
Find the common denominator of -48/7 and (-1 - (-105)/12) + -3.
28
Let m = 2499 + -19967/8. What is the common denominator of m and -7/86?
344
Let q = -7205 + 115325/16. What is the common denominator of q and -119/20?
80
Let o be (-1)/4 + (-132646)/(-32). Let m = o - 4148. Calculate the common denominator of -115/6 and m.
48
Let a be (-4)/(-10) - (-16)/10. Calculate the common denominator of (-309)/(-30) + a/1 and (1 - 2)/(6/130).
30
Suppose 2*o + 2*o - 2*k = 306, 249 = 3*o + 5*k. Suppose -5*x + o = l, -4*x + 4*l = 2*l - 68. What is the least common multiple of x and 2?
16
Let s be (4 - 1)*(-4)/6. What is the smallest common multiple of 1 and (0 + s/6)*-15?
5
Let p(x) = -2*x**2 - 7*x - 6. Let w be p(-4). Let d = w + 17. Find the common denominator of -69/4 and -3 - -1 - d/(-3).
12
Let b(k) = 3*k**2 - 13*k - 10. Let d be b(11). What is the common denominator of 117/14 and d/(-88)*12/10?
154
Let b = -51 + 73. Calculate the least common multiple of 10 and b.
110
Let h(n) = 4*n**2 + 2*n. Suppose 2*z - 39 = 5. What is the lowest common multiple of h(2) and z?
220
Let h = -48989/6 - -8145. Calculate the common denominator of 139/12 and h.
12
Let z = -4 - -6. Suppose -2*c - 38 = -2*r, -3*c - 30 - 9 = -z*r. What is the lowest common multiple of r and 10?
90
Let k be 1/(-3) + 1208/24. Let l be (-236)/7*k/176. Let h = -6/77 - l. Find the common denominator of h and 1.
2
Let k(s) = -2*s - 24. What is the smallest common multiple of 3 and k(-15)?
6
Let p = 3 - 3. Let m(a) = -a + 14. Let f be m(p). What is the common denominator of (15/f)/(8/28) and -59/2?
4
Calculate the common denominator of 79/6 and 3/(-42)*(35 - -1).
42
Let h be 4/(-6) + (-16)/(-6). Suppose g + 4*j - 4 = 0, 5*j = -h*g - g + 12. What is the least common multiple of 22 and g?
44
Calculate the lowest common multiple of 7 and 3/2 + (-19)/(-38).
14
Suppose 8 + 9 = -y - 5*c, y - c - 1 = 0. Let v = 5 + y. Calculate the least common multiple of 4 + (-2)/(v + -2) and 11.
22
Let v be (1 - 2)*(-2 + -18). Calculate the common denominator of (94/9)/(2/3) and ((-1)/v)/((-2)/65).
24
Let m(w) = -9*w + 2. What is the lowest common multiple of m(-1) and 11?
11
Let m(n) = -n**2 - 10*n + 6. What is the lowest common multiple of 22 and m(-10)?
66
Let r = 329961/22 + -15001. Calculate the common denominator of (-185)/(-6) - 5/15 and r.
22
Suppose 5*o + 5*r = 265, -4*o - 273 = -9*o + 3*r. Suppose 0 = 3*m - 3*b - o, 4*m - b = 2*b + 69. Calculate the common denominator of (2/m)/(48/(-1220)) and 1/2.
18
Let k be (-504)/93 - -1 - 1. Let f = 5121/310 + k. What is the common denominator of 28/5 and f?
10
Let g = -23 - -15. Let s(l) = -l**2 - 9*l + 6. Calculate the smallest common multiple of s(g) and 16.
112
What is the common denominator of 7705/46*2/50 and 55/9?
90
Suppose -3*a = 5*y - 35, y + 4*a - 11 = 13. Suppose u - y = 4. What is the common denominator of (-45)/2*2/u and 89/4?
8
Let s = -2 - -3. Let j be s + 1 + 102/3. Suppose -9 = -2*f + a + 23, 5*a = -4*f + j. What is the least common multiple of f and 22?
154
Let s = 44 - 43. Calculate the lowest common multiple of s and 3.
3
Let a = -4823466603 - -60124511258971/12465. Let b = 6/1385 + a. Calculate the common denominator of 56/3 and b.
9
Find the common denominator of -19/18 and (-37)/(-6) + 16/(-72).
18
Let b(i) = -4453*i. Let p be b(1). Let h = -53333/12 - p. What is the common denominator of (-1426)/180 + (-2)/(-9) and h?
60
Suppose -3*b - 11 = -2*n, n + 3*b - 5 = 4*b. Calculate the lowest common multiple of n and 6/(-9) + 44/3.
28
Suppose 4*i + 6 - 2 = 0. What is the common denominator of -57/10 and 12*-1 + i/(-5)?
10
Suppose -6 + 38 = 4*g. What is the lowest common multiple of g and 22?
88
Let h(w) = -w**2 + 12*w. What is the lowest common multiple of ((-2)/(-5))/(4/20) and h(11)?
22
Suppose 0 = -4*r - 25 + 61. Suppose -18 + 51 = 3*z. What is the lowest common multiple of (r/(-15))/(2/(-30)) and z?
99
Let b(m) = m**2 + 4*m - 2. Calculate the least common multiple of 2 and b(-6).
10
Let d be (-1 - 5)*(0 - -2). Let l be (-109442)/(-8)*3/d. Let w = -3422 - l. What is the common denominator of w and -31/2?
16
Suppose 2*n - 3*q - 19 = 5, 4*n + 5*q = 4. Find the common denominator of -99/8 and (1/(-3)*112)/n.
72
Let z = 30 + -12. Suppose 5*v - 68 = r, -2*v + 20 = -0*v - 4*r. Calculate the smallest common multiple of v and z.
126
Calculate the common denominator of 47/6 and (1 - 7/4)*568/132.
66
Let j = 4 - 0. Suppose -s = j*l - 23, 0 = 3*l - l - 5*s - 17. Calculate the lowest common multiple of 4 and l.
12
What is the common denominator of (3 - 3) + 135/(-24) and (8/5)/(6/(-40))?
24
Let j = 304/33 + -89/22. Let c be (-18)/8 + (-5)/(-20). Find the common denominator of j and ((-1)/11)/(c/(-10)).
66
Suppose 0 = -2*j + j + 17. Calculate the lowest common multiple of j and 4.
68
Let d be -1*(-2 + 12/3). Let s be (-1)/((-5)/d - 2). Calculate the common denominator of 77/8 and s - (-86)/(-16) - 1.
8
Let s be (-2)/(-7) + (-7779048)/388192. Let j = s + 6/1733. What is the common denominator of 2/(-6) - (-748)/120 and j?
20
Let l = -15633/14 + 1118. What is the common denominator of -33/4 and l?
28
Let v = 18522/7265 - -3/5812. Find the common denominator of (-6)/2 + 396/(-168) and v.
140
Calculate the smallest common multiple of 4 and (8/(-6))/((-8)/60).
20
Suppose 5*k + 6*d = 3*d - 72, 2*k - 5*d = -35. Let s = k - 17. Let a = -23 - s. Calculate the smallest common multiple of a and 10.
90
Suppose b = 5*w - 12 + 29, 4*b + 5*w - 18 = 0. Suppose -2*h = -b*h + 60. Calculate the smallest common multiple of h and 20.
60
Let y(c) = 10*c. Let q(u) = u**3 - 7*u**2 + 2*u + 4. Let l = 10 - 3. Calculate the smallest common multiple of y(1) and q(l).
90
Let q(x) = 4*x**2 - 2 + 7*x + x - 7*x. Calculate the smallest common multiple of 14 and q(2).
112
Let a be (-14)/(-1205)*(-205960)/1056. Let d = a - -28/723. Calculate the common denominator of d and (-2)/(-8) - (-26)/(-3).
132
Suppose t - 5*t + 8 = 0. Calculate the least common multiple of 10 and t.
10
Suppose -4*j + 783 = 123. Suppose v = -4*v + j. Calculate the common denominator of v and (-5)/(15/(-6)) - 249/24.
8
What is the smallest common multiple of 23 - ((-15)/10)/(2/(-4)) and 16?
80
Let x = -6423/1463 - 8/209. Find the common denominator of x and -10*38/48*-3.
28
Let z(u) = -4141*u - 3. Let x be z(-2). Let d = -99419/12 + x. What is the common denominator of d and 2/7 - 529/(-84)?
12
Suppose 2*g = 2*h + 6, 2*g + h + h - 2 = 0. Suppose 7 = -5*o - 28. Let l = g - o. Calculate the lowest common multiple of 10 and l.
90
What is the least common multiple of 5/30 - (-214)/12 and 11?
198
Let q(s) = s**3 + 5*s**2 - s + 4. Suppose -6*k = -0*k - 6. What is the lowest common multiple of k and q(-5)?
9
Let w = -13 - -31. Suppose 0*z = 4*z - 12, 11 = 2*q + z. Let c =