20
What is the common denominator of -11/14 and -4 + 4 + 45/22?
154
Let b(d) = d + 8. Let c be b(-7). Let i(l) = 17*l**3 - 2*l**2 + 1. Calculate the smallest common multiple of 4 and i(c).
16
Suppose 0 = -4*c - 4*w + 68, 5*w = -3*c - 9 + 50. Let p be (c/(-78))/(4/(-444)). Let i = -3251/130 + p. What is the common denominator of i and -31/22?
110
Let q = 1 + -2. Let s be -1*(-5902)/(-72) - q. Let t = -325/4 - s. Calculate the common denominator of 19/20 and t.
180
Suppose 0 = 5*y - 3*j - 47, 3*y + 6 = 4*y - 4*j. Calculate the least common multiple of 22 and y.
110
Let m(t) = t**3 - 3*t**2 + 3*t - 1. Let j be m(2). Find the common denominator of j/(-2) + 56/(-3) and 1*-1 - 35/(-63).
18
Suppose -w + 0*w = 10. Calculate the common denominator of -43/18 and w/(-4) + -2 + 1.
18
Suppose 307 = -5*b + 77. What is the common denominator of (b/84)/(2/(-18)) and 93/4?
28
Let o = 14101887 - 3751107495/266. Let p = o + 150/7. What is the common denominator of 111/10 and p?
190
Suppose x + 5 - 3 = 0. Let h = x + -1. Calculate the smallest common multiple of 18 and 50/h*12/(-10).
180
What is the common denominator of 6/((-336)/290)*6/5 and (2/(-44))/((-2)/18)?
154
What is the common denominator of (-190)/8*(-14)/(-49) and -101/8?
56
Let f(l) = -l**2 + 4 + 0*l**2 - 2 - 6*l. Let b be f(-6). Suppose b*u = -m + 18, -2*m + 11 = u - m. What is the smallest common multiple of 5 and u?
35
Let r = 145 - 97. What is the smallest common multiple of 24 and r?
48
Let r be (-1)/4 - (-200132)/(-12). Let h = 16689 + r. Calculate the common denominator of 99/20 and h.
60
Let h = 53 + -33. Calculate the lowest common multiple of h and 18.
180
Let w be (-2)/(-8) + 78/(-24). Let h(g) = -g + 1. Suppose 0 = -5*n - 1 + 6. Calculate the least common multiple of h(w) and n.
4
Let b(c) = -2*c - 10. What is the lowest common multiple of 4 and b(-9)?
8
What is the common denominator of -29/93 and (486/(-112))/(-1) - (-4)/14?
744
Find the common denominator of 41/16 and 1770/(-24)*(-2)/(-35).
112
Calculate the smallest common multiple of ((-33)/(-15))/((-3)/(-45)) and 6.
66
Let r = 42 + -32. Calculate the smallest common multiple of 14 and r.
70
Let p = 5 - -9. What is the smallest common multiple of 8 and p?
56
Suppose -1 = q - 10. Calculate the least common multiple of 2 and q.
18
Let i be (-35)/(-15) + 1/(-3). Suppose 0 = l + l - i. What is the least common multiple of l and 13?
13
Suppose 0 = -0*x - 3*x + 9. Suppose 77 = 4*o - 5*t, -x*t - 18 - 19 = -2*o. Calculate the smallest common multiple of 3 and (-4)/(-12) - o/(-3).
24
Let h be 6495/(-130)*(-2)/6. Let x = h + -15/13. What is the common denominator of x and 109/6?
6
Let c = 13773 + -5936. Suppose c = -4*j + 2677. Let l = 7765/6 + j. Calculate the common denominator of l and -31/2.
6
Suppose 51 = 7*n - 6*n. Calculate the smallest common multiple of 18 and n.
306
Suppose -5*k + u - 2*u + 29 = 0, -3*k - 5 = -5*u. What is the smallest common multiple of k and 9?
45
Suppose 0*q = -2*q + 16. What is the common denominator of 25/4 and ((-58)/20)/(4/q)?
20
Let m = -317/65 - -18/65. What is the common denominator of -35/6 and m?
30
Suppose -4 = 4*x, -2*x + 98 + 20 = 5*r. Calculate the smallest common multiple of 3 and r.
24
Let u = -48 - -66. Calculate the lowest common multiple of u and 21.
126
Calculate the common denominator of 1*4 - (-143)/(-88) and 27/2.
8
Let k(o) = 2*o**2 - 8*o - 2. Suppose -v - 28 = -3*v + 4*h, 3*v - h - 22 = 0. Calculate the lowest common multiple of 10 and k(v).
110
Suppose 0 = p, 5*p = z - 3*z + 6. Calculate the smallest common multiple of 12 and z.
12
Let f = -95968/27071 - 1/2461. Let g(c) = -c**3 - 5*c**2 + 6*c - 1. Let o be g(-6). Find the common denominator of f and o + ((-171)/8)/(-3).
88
Suppose q + 2*o - 12 = 0, -2*q + 24 = 3*o + 2*o. What is the lowest common multiple of 4 and q?
12
Suppose -2*m + 4 = -j, 4*m - m - 19 = -5*j. What is the least common multiple of j and ((-40)/(-1))/2*1?
20
Suppose 3*y - 73 + 7 = -3*x, -x + 5*y + 16 = 0. Calculate the smallest common multiple of 7 and 75/x + 3/7.
28
Let w(k) = 3*k**3 - k**2. Let f be w(-1). Let j be (-16)/109476*2/f. Let a = 1140371/54738 + j. Calculate the common denominator of -7/4 and a.
12
Calculate the common denominator of (20/72)/(3/(-84)) and 47/5.
45
Suppose 4*z + 2*m - 55 = 7*m, -23 = -2*z + m. Calculate the least common multiple of 6 and z.
30
Let q = 866 - 384. Calculate the common denominator of (-9)/12 - q/(-88) and -7.
11
Find the common denominator of (-2)/(-3) + 2723/(-210) and -83/22.
110
What is the common denominator of (610/(-100))/(2/5) and -19/20?
20
Let v be (-3)/6 + (-70)/(-4). Let d = v + -1. Calculate the least common multiple of d and 22.
176
Let o = -803047316/55 - -79977501/5. Let w = o - 1389390. Let b = w - 5254. What is the common denominator of b and 17/2?
22
Let u = 3 + -1. Let t(k) = -k**3 + 13*k**2 - 12*k + 10. Let m = -25 + 37. Calculate the smallest common multiple of u and t(m).
10
Let i = 36 - -74. Let w be 7 + (-2 - 1) + 2. Suppose -w*k = -k - i. What is the least common multiple of k and 16?
176
Suppose -p - 224 = 7*j - 2*j, -p - 224 = 2*j. Suppose 5*g = 3*d + 33, g + 4*g - 41 = d. Calculate the least common multiple of g and (-2)/9 - p/36.
18
Suppose -23377 = 4*g + 2323. Let c = 57889/9 + g. Calculate the common denominator of 15/4 and c.
36
Let u = 33747969/11 + -3065483. Let h = -2516 + u. What is the common denominator of h and (-4)/(-6) - (-192)/54?
99
Suppose -132*s = -135*s + 60. Suppose 56 = 3*g + 5*h, -2*g + 5*h = 3 - 7. What is the smallest common multiple of s and g?
60
Let r = 648/11 - 3503/66. Let n be (-61329)/24 + 1/2. Let c = n - -2551. Calculate the common denominator of r and c.
24
Let p be (-44)/77 - 3/7. Let s(b) = 17*b**2 + 2*b + 1. What is the lowest common multiple of 14 and s(p)?
112
Let x = -12 + 13. What is the lowest common multiple of 2/(-1) + 9 + x and 2?
8
Let x = -2174/5 + 17097/40. Calculate the common denominator of x and 2/5.
40
Let s = 21 - 13. What is the least common multiple of s and 8?
8
Suppose 4*x + 2 = 3*d - d, 5*d - 41 = -2*x. Calculate the least common multiple of 12 and d.
84
Let q(r) = r**2 - 4*r - 7. Suppose 12 + 12 = -2*d. Let m be 2 - (d/3 + 0). What is the smallest common multiple of 5 and q(m)?
5
Let c = 2951/816 + -92/51. Find the common denominator of -89/20 and c.
80
Calculate the common denominator of (-106)/(-88)*2 + 1 and 77/20.
220
Let j(y) = -2*y - 5. Let u be j(-4). Let k(i) = 7*i - 1. What is the lowest common multiple of k(u) and 6?
60
Suppose -a = -5*r - 12 + 77, -39 = -3*r + 4*a. Suppose -2*g = -15 - r. Suppose 0 = -2*c + 3 + 25. What is the lowest common multiple of g and c?
14
Let f(b) = 21*b**2 - 1. Calculate the least common multiple of f(1) and (-1)/5 + (-426)/(-30).
140
Suppose 4*l + 18 = l. Calculate the common denominator of 63/22 and 9/l*(-134)/24.
88
Let h(q) = 22*q - 1. Let a be 4/(-8) - 5/(-2). Find the common denominator of -1 and h(a).
1
Let x(b) = b**2 + 2*b - 12. Let i be x(-6). Suppose 3*g - i = 24. What is the least common multiple of g and 14?
84
Suppose 3*d - 132 = 6*d. Let p = 15341/4 + -3892. Let h = p - -53/4. Find the common denominator of d and h.
2
Suppose -21 = -3*d + 3*u, -5*u + 20 - 1 = d. Suppose 0 = -5*z - 2*n - 33 - 30, 34 = -2*z - 3*n. Let t = z + 19. Calculate the lowest common multiple of t and d.
72
Let r(m) = m**3 + 7*m**2 - m - 5. Let b be r(-7). Find the common denominator of 101/10 and (-1)/b + (-38)/(-16).
40
Suppose -2*o = v + 2*v + 11, 3*o - 2*v = 16. Let w be o/(1112/(-8837)) - -1. Let a = w - -20/139. What is the common denominator of a and -34/9?
36
Suppose -3*a = -2*v + 15, -2*a - 6 = -v - 0. Calculate the smallest common multiple of v and 2 - ((-1)/((-3)/(-51)) - 1).
60
Suppose 0*x = 4*x - 112. What is the least common multiple of 12 and x?
84
Suppose 0 = -3*s - o - o + 10, 0 = 3*s - 3*o. Calculate the least common multiple of (-6)/(-9)*3 - -2 and (-390)/(-33) + s/11.
12
Suppose -t - 13 = 3*w - 0, 2*t - w - 9 = 0. Suppose 3*a - 60 = 3*x, -4*a - 4*x + 16 = -t*a. Calculate the least common multiple of a and 20.
80
Suppose 0 = 7*g - 6*g - 11. What is the smallest common multiple of 2/g - (-108)/11 and 1?
10
Suppose 0 = 2*k + 2*u + 3*u + 6, 0 = 4*k - 3*u - 14. Let q = 8 + k. Calculate the least commo