f (-5)/((-35)/7) - 123/6 and -169/84.
84
Let w(d) = d**2 + 5*d - 2. Let g be w(-6). Let v = g - 12. Let l = v - -15. Calculate the lowest common multiple of l and 8.
56
Let i be 6/21 - (-4 - 27080/35). Find the common denominator of 57/2 and 3/5 - 3/(1440/i).
48
Let b = -325 + 185. Let g = -6302/45 - b. What is the common denominator of -51/8 and g?
360
Let y be ((-27)/6)/(4/360). Find the common denominator of 6/18 + 538/(-12) and 1/3*y/(-18).
2
Let n(g) be the first derivative of g**3/3 + 3*g**2 + 7*g - 10. Let c be n(-3). What is the common denominator of -38/7 and (6/153)/(c/96)?
119
What is the common denominator of -2/117 and (6/(-20664)*-49)/(1/20)?
4797
What is the least common multiple of 183 and (-110)/(-4) - 1/2?
1647
Let u be 427/(((-15)/(-2))/((-1962)/24)). Let t = u + 4660. Find the common denominator of t and -91/6.
30
Suppose 3*v + 2*j - 742 = 0, -4*v = v + j - 1246. Let m = -2745/11 + v. Let r = -54575/6 - -9071. What is the common denominator of r and m?
66
Let r = -2/421 + -10521/842. What is the common denominator of 89/98 and r?
98
Calculate the smallest common multiple of (-2)/9 - (-7498)/207 and 38.
684
Let k = -485719/22 - -22083. What is the common denominator of 79/12 and k?
132
Let x be 2/5 - (-14080)/(-35450). Let m = x + 11326/6381. Calculate the common denominator of m and -37/9.
9
Let w(s) = -s + 6. Let k(g) = g**3 - 6*g**2 + 4*g + 7. Let a be k(5). Suppose -a*l + 9 = 1. Calculate the least common multiple of 11 and w(l).
22
Suppose 0 = -4*u + 3*u. Suppose u = 4*p - j - 70, 4*p - p + 5*j - 64 = 0. What is the least common multiple of p and 8?
72
Let p = -43315/5222 - -30/373. Let z = -23 - -12. What is the common denominator of p and 2/z*18/4?
154
Find the common denominator of 85/14 and ((-1414)/2646)/(-12*4/(-18)).
504
Suppose -1134 = -6*g - 57*g. Calculate the lowest common multiple of 94 and g.
846
Suppose 7*f = 9*f - 10. Let t = -107/80 + 7/5. What is the common denominator of f/(-30)*(-7)/2 and t?
48
Let n = 61481/20 - 3079. What is the common denominator of n and ((-82)/24)/((-32)/24)?
80
Let n = -33/1423 + 1771701/2846. Let u = -1801 - -1160. Let t = n + u. Find the common denominator of t and -7/12.
12
Let n(a) = a**2 + 7*a + 12. Calculate the lowest common multiple of 586 and n(-6).
1758
Calculate the common denominator of 9/100 and (-390)/2880 - (-2)/(-6).
800
What is the common denominator of -16/15 and (-31)/(-87) - ((-182)/(-28) - 6)?
870
Let x = 12433/10 + -1242. What is the common denominator of x and -127/12?
60
Suppose -3*u + 4*b + 13 = 0, 15 = 4*u - 2*b - 9. Let q = u - -3. Calculate the smallest common multiple of 14 and q.
70
Suppose -2*g - 26 = -v, -4*v + 65 = 6*g - g. Let t = -15 + 41. Calculate the smallest common multiple of v and t.
260
Let k be 2 + (306/3 - -3). Suppose -4*x = 2*c + k + 5, -5*c - 2*x = 280. Find the common denominator of (10/4)/(c/88) and -71/20.
140
What is the common denominator of 1 + 0 - (-129)/(-45) and 20/(-18)*(5 + (-68)/22)?
165
Let m = -49334 + 349824/7. Let h(z) = 19*z**2 + 8*z + 3. Let d be h(-6). Let c = d - m. Calculate the common denominator of 61/8 and c.
56
Let w(t) = -t**3 + 5*t**2 + 4*t + 14. Let y be w(6). Suppose 8*k + y*k - 80 = 0. What is the smallest common multiple of 11 and k?
88
Let o(s) be the third derivative of s**5/60 - 5*s**4/12 - 2*s**3/3 - s**2. Let q be o(8). Calculate the common denominator of 4/7 and (-1210)/28 + q/70.
14
Calculate the common denominator of ((-3)/15)/(6*(-4)/(-795)) and ((88/26)/1)/2.
104
Let t = -3650 + 3770. What is the lowest common multiple of (-2 + 3)/(2/4) and t?
120
Suppose -4*i - b + 31 = 0, 0*b + 3*b = 3*i - 12. Suppose -1 + i = 3*x. Let a(u) = u**2 + 20*u + 38. Calculate the lowest common multiple of x and a(-2).
2
Suppose 0 = -10*b + 5*b + 20. Suppose v + 2*y - y = 6, b*v = 2*y + 24. Let h(k) = k**2 - 6*k + 8. What is the smallest common multiple of 4 and h(v)?
8
Let k = -29 - -67. What is the common denominator of 14/(-56) - k/(-16) and 3*(1 + 17/(-11))?
88
Let c(v) = -3*v**3 - 187*v**2 + 125*v - 7. What is the lowest common multiple of c(-63) and 1*5 - (-2 + 1)?
168
Let t(z) = z - 2. Let f(c) = c**3 - 3*c**2 - 2*c + 3. Let q be f(3). Let k be t(q). Calculate the common denominator of -202*(k/60 + 0) and -85/14.
42
Let i be (-965)/(-168) - 2/(-3). Let o = -37/7 + i. Calculate the common denominator of o and -16/7.
56
Let m(w) = 12*w**3 + 2*w - 3. Let a be m(2). Find the common denominator of 6 - (-38)/(-36)*10 and a/(-3 + 3/(-3)).
36
Find the common denominator of 159/9*1*-1 and 2/(-11) - (-6 - (-706)/(-132)).
6
Let p(z) = 5*z**2 - z - 86. What is the smallest common multiple of 3 and p(11)?
1524
Let d(v) = -12*v**2 + v - 1. Let t be d(1). What is the smallest common multiple of (-2)/13 - (-106)/13 and (-220)/t + (-1)/3?
72
Suppose 526 = c - 2*b + 6*b, -3*b + 2647 = 5*c. What is the common denominator of -127/48 and c/(-24)*((-51)/(-45) + -1)?
144
Let k(i) = -3*i**3 + 23*i**2 + 3*i. What is the lowest common multiple of 8 and k(4)?
376
Suppose -u - 4*n + 22 = -6*n, 2*u = 5*n + 46. Suppose -2*j = -4*a + 5*a - 11, j - 16 = -a. What is the lowest common multiple of a and u?
126
Let d(h) = 23*h - 2*h**2 + 30*h - 22 + 32*h - 101*h. Calculate the smallest common multiple of d(-5) and 20.
40
Let m be 1080/32 + (-6)/8. Suppose 3*n + 0*n = m. Calculate the smallest common multiple of 8 and n.
88
Let o(d) be the first derivative of 2*d**3/3 - 3*d**2/2 + 11. Let x(b) = 2*b**2 - 2*b - 2. Let a be x(2). Calculate the least common multiple of o(a) and 3.
6
Suppose 6*m = 2*m - 160. Find the common denominator of 2/(-5) + (-1436)/m and (1/7)/1*(-51793)/(-294).
6
What is the common denominator of (-13)/8 + 2 + -2 and (2 + 2574/(-36))/(-18)?
72
Calculate the common denominator of 115/96 and 57/108*77/22.
288
Let k = -64 - -67. Find the common denominator of (2 - k)/(-3) + 973/(-84) and 83/120.
120
Let q = -176 - -164. Let m(c) = 2*c**2 + 23*c - 7. Calculate the least common multiple of m(q) and 4/6 - (-62)/6.
55
Let b be ((-66)/(-16) - 2)*1214. Let u = b - 2558. Find the common denominator of 138/(-1035) - 1391/30 and u.
4
Let t = 2971/3366 + 11/153. What is the common denominator of 65/166 and t?
1826
Let z = 3477577/473440 - -1/8608. Let y = z - 39198/5335. Let d = -5311/12804 + y. Calculate the common denominator of d and 103/18.
36
Calculate the smallest common multiple of 504 and (-8 - (-135)/18)*-28.
504
Let b = -39 - -93. Calculate the smallest common multiple of 10 and b.
270
Let n = 27 - 21. Let k be (-2)/12 - 11/n. Calculate the common denominator of k/(-32)*-43 - 0 and 101/2.
16
Suppose w + 308 = 50. Let a = w - -475/2. Let p = 1991/243 - 20/243. Calculate the common denominator of a and p.
18
Let u = 305/161 + -60/23. Suppose -y + 3*y + 2 = 0. Find the common denominator of (36/y - 2)/3 and u.
21
Let y = -2454239/256092 - -2/21341. Find the common denominator of y and 77/228.
228
Let l(k) = -3*k**2 - k + 2. Let h be l(0). Suppose 0 = -w - 2*d + 12, 3*w + h*d - 32 = -2*d. Calculate the least common multiple of w and 20.
40
Let u = -1/516 + -18569/3612. Let f = 10798/17 - 633. Find the common denominator of f and u.
119
Suppose 27 = 2*x + 3*r, -10*x - 12 = -11*x - r. What is the lowest common multiple of 75 and x?
225
Let b = -3127/66 - -47. What is the common denominator of b and -21/88?
264
Suppose 5*t = -s + 14, 5*t + 3*s = 4*s + 6. Suppose 31*l - 20 = 27*l + b, -34 = -5*l - b. Calculate the smallest common multiple of l and (1 + t)*8/3.
24
Suppose 4*h - j + 61 = 2*j, 58 = -4*h + 2*j. Let n(a) = -a - 2. What is the lowest common multiple of 1 and n(h)?
11
Let w = 116 + -72. Suppose -4*g - 4*t = -0*g - w, 15 = -5*t. Let v = 75 - 63. What is the least common multiple of v and g?
84
Let s = -28 - -28. Let d be s - (-4)/(3 + -5). What is the common denominator of d/4*129/(-15) and -5/22?
110
Suppose -2*k - 1 = 3*t + 15, t + 5*k = -1. Find the common denominator of ((-116)/16)/((-12)/t) and 11/3.
24
Suppose 2*u + 4*k = 48, 3*k - 50 = 5*u - 144. Let g = 3763 - 3753. Calculate the least common multiple of g and u.
20
Let l = -38225 + 3631439/95. Calculate the common denominator of -70/3 and l.
285
Let q = -2 + -2. Calculate the common denominator of 2 - -1 - q/32 and ((-2)/(-6))/(28/(-654)).
56
Suppose -15 = 3*y,