+ 4*s - 6*s = 58, -4*s = -4*m - 52. Let l = -4/2855 + -168413/22840. Calculate the common denominator of l and (4 + 51/m)/((-3)/126).
8
Suppose 5*l = -5*r + 180, r - 105 = -5*l + 95. Suppose -181 = -10*j - l. What is the smallest common multiple of 42 and j?
42
Calculate the lowest common multiple of 14/49 - (-2 + 141/(-21)) and 14.
126
Let u = -53 - -55. Suppose 0 = -d - u + 14. Calculate the lowest common multiple of d and 8.
24
Let z = -32043/10 + 3213. Calculate the common denominator of 133/60 and z.
60
Calculate the common denominator of 105/464 and (4 - 0) + 785*1/(-100).
2320
Let o(h) = -16 - 5*h**3 - h**3 - 9*h**2 + 7*h**3 + 11*h. What is the least common multiple of o(8) and ((-2)/(-3) + 0)*30?
40
What is the smallest common multiple of 20 and (-116)/145*250/(-4)?
100
Let x = 1721 - 1718. Suppose 2*t = -2*k + 14, -3 = -t - 2*t. What is the lowest common multiple of x and k?
6
Let v = 88 - 59. Suppose -174*y + 393 = 219*y. Calculate the smallest common multiple of y and v.
29
Let w = 307/2 - 157. Calculate the common denominator of (-4)/((-88)/(-77))*240/(-196) and w.
14
What is the common denominator of (9/(-1))/(78/(-351)) and 161/30?
30
Let p = -154/57 + 1/3. Let n = 7031/8 - 876. What is the common denominator of n and p?
152
Let d be (-22)/(-22)*(6 + 0). Suppose 10 = d*c - 14. Calculate the smallest common multiple of 3 and c.
12
Let t(m) = 3*m**2 + 15*m - 14. Let j(u) = 2*u**3 - 4*u**2 - 4*u - 4. Calculate the smallest common multiple of t(-7) and j(4).
308
Let c = -195334/7 - -11136271/399. Let f = c - 39/76. Let m = -98/51 - -4169/816. What is the common denominator of m and f?
48
Suppose 0 = -5*g - 5*i - 15842 - 10198, 20868 = -4*g + 5*i. Let t = 3/605518 - -4721980739/908277. Let x = g + t. Find the common denominator of -32/11 and x.
66
Calculate the least common multiple of 580 and (-15)/6*(-416)/130.
1160
Suppose -5 + 3 = -d. Suppose -3*x + 2*o + 19 = 0, 27*o + 14 = 3*x + 26*o. Calculate the smallest common multiple of d and x.
6
Let j = -562/119 - -34235/5712. What is the common denominator of j and -89/96?
96
Suppose -3*h + 132 = p, -5*h + 7*h - 87 = -p. What is the smallest common multiple of 6 and h?
90
Let k(r) = -r**3 + 25*r**2 - 24*r + 32. Calculate the least common multiple of 4 and k(24).
32
Suppose 23 = 2*o + 3*o - 3*s, 3*o - 8 = -4*s. Let c be ((-44)/3)/(o/(-18)). Suppose 3*w = -6 + c. Calculate the lowest common multiple of 20 and w.
20
Let g = 7499/6 + -1236. Let t = 104/3 + g. Calculate the common denominator of -13/6 and t.
6
Let v(p) = -p**3 + 4*p + 1. Let x = 2 + 7. Suppose -6 = -2*m, 4*m = 2*w - 3*w + x. Calculate the least common multiple of 10 and v(w).
80
What is the common denominator of -58/27 and 5/((-200)/856)*10/(-192)?
864
Let m be -6242*(9/6)/(-3). Let z be -1 + (m/20 - -2). Let h = z - 899/5. What is the common denominator of h and 125/6?
12
Let w = 3899/34 + -114. Calculate the common denominator of (3000/55)/(-6) - -6 and w.
374
Suppose -12 = a + 3. Let k(q) = -q**2 - 16*q - 11. Calculate the smallest common multiple of k(a) and 18.
36
Suppose 0 = -14*i + 11*i + 6. What is the smallest common multiple of i and 6?
6
Suppose 0 = -3*k - 10*b + 5*b - 5, b = -5*k + 21. Suppose -k*p - 2 = -12. Let n(y) = 3*y + 2. What is the least common multiple of n(6) and p?
20
Let f = 6 + -21. Let i = -19 + 9. Find the common denominator of (303/f)/(8/i) and 97/20.
20
Let c(a) = 10*a**2 - 4*a - 3. Suppose 5*j = -i + 33, 5*i + j = 6*j + 75. Calculate the lowest common multiple of i and c(-2).
90
Suppose 6*n + 2538 = 2646. Suppose 2*s + 5*f - 61 = 0, -97 = -3*s - 3*f - 28. What is the least common multiple of n and s?
18
Suppose -f = 3, 3*f - 36 = -3*d - f. What is the lowest common multiple of d and 15/(9 - (-66)/(-11))?
80
Let c(s) = s**2 - s - 4. Let b be c(-3). Suppose -2*k = -h - 0 - 2, -5*k = 4*h + b. Calculate the common denominator of 35/26 and h/5 - (-162)/(-40).
260
Let p be 2 - (-4 - -1 - -5). Suppose 0 = u - p*u - 2498. Let v = u + -24933/10. Calculate the common denominator of 47/4 and v.
20
Suppose 3*f + 3 = -o, 5*o + 5*f + 15 = 3*f. What is the common denominator of o + (636/60)/((-12)/(-10)) and 31/3?
6
Let d(j) = -j**2 - 11*j - 23. Let k be d(-10). Let y = k - -19. What is the lowest common multiple of 12 and y?
12
Find the common denominator of ((-13)/195)/((-2)/(-82)) and -21/5.
15
Find the common denominator of -65/93 and (-118)/(-124) - ((-42)/7)/(-3).
186
Suppose 12 = 3*x, -3*r + 156 = 2*r + 4*x. What is the smallest common multiple of r and 3?
84
Suppose -4*r - 16 - 44 = 0. Let q be (63/(-4))/(r/80). Suppose -5*l = -4*o + q, -l - l + 138 = 5*o. What is the least common multiple of 12 and o?
156
Let g(m) = -3*m + 6. Let p be g(2). Suppose -4*y + 45 + 3 = p. Let l = y - 4. Calculate the smallest common multiple of 22 and l.
88
Let z = 10046679/731780 - 11/20908. Let x = z + -8/35. What is the common denominator of x and 23/11?
22
Let o = -4/3141 - 101551/6282. Let g be ((-12)/126)/((-52)/654) + 1. Let f = g - 79/52. Calculate the common denominator of f and o.
84
Let v(t) = -t + 7. Let n be (10 - 4 - 2) + 0. Calculate the least common multiple of v(n) and 2.
6
Let x = -572 + 578. What is the lowest common multiple of x and 4?
12
Calculate the smallest common multiple of (-11 + (-846)/(-90))/((-4)/1830) and 27.
6588
Let f(i) = -i**2 + 1 + 2 - 6 + 7*i. Calculate the lowest common multiple of f(6) and (-4 + 2)*(1 + (-9)/6).
3
Let z = -2 + 4. Find the common denominator of (-1)/(4/38) + z and ((-3654)/(-140))/(6/5).
4
Let y = -29 + 56. Suppose 0 = -6*s + y + 21. Calculate the lowest common multiple of s and 6.
24
Let w be -4*((-16042)/4 - 2). Let b be ((-108)/(-315))/((-769)/w). Let t = b + 10/769. What is the common denominator of t and 47/11?
77
Let h = 5080/9 - 563. What is the common denominator of h and -11/15?
45
Calculate the common denominator of 26/357 and (91/18)/7*(2 + 2).
1071
Let d = -3729821573/920 + 4054159. Let n = -1/115 - d. Let a = 479 - 3314/7. Find the common denominator of n and a.
56
Let h(w) = -w - 5. Let v be h(-17). Calculate the common denominator of (-3)/v - (-26)/(-8) and -67/22.
22
Suppose 88 = q - c, 4*c - 100 = -q + 8*c. What is the lowest common multiple of (-37)/(-6) - 14/q and 2?
6
Suppose 6*j = j + 255. Suppose -4*x - o + 33 = -8, 4*x + 3*o - j = 0. What is the smallest common multiple of x and 11?
99
Let q = 0 - -10. Suppose 19*f - 214 = 128. Calculate the lowest common multiple of f and q.
90
Calculate the common denominator of (-2)/4*232/(-352) and (-22)/55 + (-15)/(-6).
440
Let r(q) be the first derivative of 5*q**3/6 - 4*q**2 - 11*q - 3. Let x(c) be the first derivative of r(c). Calculate the least common multiple of 14 and x(6).
154
Suppose 21 = -33*s + 32*s. Suppose 0*b + 4*b = 64. Calculate the least common multiple of b and s*(4/(-9) - 10/45).
112
Find the common denominator of (-182)/(-2)*(-3)/6 and (-5)/(-10) + 121/12.
12
Calculate the common denominator of 32/55 and (6/(-990))/(2/(-1029)) + -3.
110
Let m = -2672/1005 + -5/67. What is the common denominator of m and -40/51?
255
Let w(f) = 355*f**2 + 10*f - 7. Calculate the smallest common multiple of w(1) and 16.
2864
Suppose -3*k = -4 - 11. Suppose k*d - 2*d = 9. Let y(o) = -o**3 + 6*o**2 - 4*o + 3. What is the smallest common multiple of y(d) and 12?
36
Let z = -1351 + 1729. What is the smallest common multiple of z and 21?
378
Suppose -26*j + 1305 = -21. Calculate the least common multiple of 18 and j.
306
Let s = -104 - -105. Let c(l) = -l**3 - 2*l - 3 + 3*l**3 + 4 + l**2. What is the least common multiple of 16 and c(s)?
16
Let c = 1/7874 + 106289/78740. Calculate the common denominator of c and 113/40.
40
Find the common denominator of (-29)/203 - (-988)/1722 and -71/18.
738
Let c(q) = 39*q. Let g be c(1). Let p = g + -34. Calculate the lowest common multiple of 2/(-4)*(0 - 4) and p.
10
Suppose 4*o = -8, -5*a + a = -o + 146. Let t = -17 - a. What is the lowest common multiple of t and (-1 + 68/(-12))*3/(-2)?
20
Let o = -199 + 124. Let y be (480/o)/((-4)/10). Find the common denominator of ((-2)/y)/((-22)/759) and -21/2.
16
Suppose -p - 3*q = 20, 0 = p - 3*p + 4*q. Let n be p/16 - (-119)/(-2). What is the least common multiple of 8 and ((-4)/(-5))/((-6)/n)?
8
What is the common denominator