6. What is the smallest common multiple of u and 143?
1144
Calculate the common denominator of (0 + 1)*-37*1/4 and -107/38.
76
Let s = -5742 - -57297/10. Find the common denominator of ((-2)/72)/((-2)/412) and s.
90
Let i = 1501/9 + -20375/126. Find the common denominator of (-2408)/(-480) - 3/5 and i.
84
Let f = 127 + -119. Calculate the least common multiple of f and 82.
328
Suppose 4*x = 6*x + 3*b - 11, 4*x + 5*b = 19. Let g(k) = -3*k - 5. Let h be g(-4). Suppose -2*n + 15 = -h. What is the smallest common multiple of x and n?
11
What is the common denominator of 13/180 and 202/(-72) + (-92)/184?
180
Let l be (-32)/40 + 42/15. Let y be 0/l + (-13 - 8). Let z = y + 22. Calculate the smallest common multiple of 4 and z.
4
Let f = -930401/82 + 11347. Calculate the common denominator of 65/4 and f.
164
Let i = -5 + 10. Let r(f) = -f**2 + 7*f + 2. What is the smallest common multiple of i - 3 - 0*2/(-10) and r(6)?
8
Let k = -4/1885 + -5361/1885. What is the common denominator of 67/42 - (-11)/(-66) and k?
91
Suppose 0 = x + 6 - 4. Let a = x - -16. What is the least common multiple of 14 and a?
14
Suppose 0 = 5*n + 3*a - 65, 0 = a + 2*a + 15. Suppose 0 = -18*w + 325 + 35. Calculate the smallest common multiple of n and w.
80
Suppose -5*u + 3 = w - 13, 4 = -4*u. What is the lowest common multiple of 656/22 + ((-192)/33 - -6) and w?
210
Let p = -3766622 + 37704591/10. Let g = p - 3842. What is the common denominator of (-3 + 0)*(-166)/(-24) and g?
20
Suppose 0 = 4*z + 2560 - 92. Let g be (-25590)/(-3)*2/(-28). Let h = z - g. Find the common denominator of -3/11 and h.
77
Let b be (71/1)/(10/(-12)). Let g = 7493/90 + b. Find the common denominator of g and (-38850)/(-5520) - (-6)/(-69)*-1.
72
Calculate the common denominator of 83/14 and (6 - 15) + 15715/1666.
238
Let p(t) = t**2 - 3*t + 9. What is the lowest common multiple of p(0) and 45?
45
Suppose -b + 24 = -0*b. Let s = -10 + b. Calculate the least common multiple of s and 8.
56
Let d(s) = 8 + 4*s + 1 + 7*s**2 - 6*s**2. What is the lowest common multiple of 3 and d(-4)?
9
Let d = -234571479073605163/997641610230 + -399848/151755645. Let q = d + 235126. Let f = q + 152862/36157. Calculate the common denominator of -83/20 and f.
220
Let c(m) = m**3 - 7*m**2 - 15*m + 28. Calculate the lowest common multiple of c(9) and 88.
440
Let g(p) be the third derivative of p**5/60 + p**4/3 - 3*p**3/2 + 10*p**2. What is the smallest common multiple of 9 and g(-10)?
99
Let m(g) = 11*g + 9. Let u(z) = -z. Let r(a) = m(a) - 2*u(a). Let j be r(-4). Find the common denominator of 14/3 and j/2*8/28.
21
Suppose 11*s = 3*c + 7*s - 218, c - 41 = -5*s. What is the lowest common multiple of c and 7?
462
Suppose -2*s + 2*m = -100, -16*s + 2*m = -15*s - 51. What is the smallest common multiple of 119 and s?
833
Let z be 3/18 - 58/(-12). What is the common denominator of z/(30/3)*43 and -25/3?
6
Let b(v) be the first derivative of v**2/2 + v + 4. Suppose 3*a + 3 = 3*k, -3*k - a + 3 = -3*a. Calculate the lowest common multiple of b(k) and 7.
14
Let y be 38/247 + (-24)/(-13). Suppose 2*o + 5*c - 20 = 0, 2*o + y*c - 15 - 17 = 0. Suppose 6*s = 3*s + 30. Calculate the smallest common multiple of o and s.
20
Let f(a) = -a**2 + 4*a + 3. Let c be f(4). Suppose 0 = c*g - 5*g + 24. Calculate the least common multiple of 1 and g.
12
Suppose 0 = -4*o - 34 + 178. What is the lowest common multiple of o and 9?
36
What is the common denominator of ((-286)/(-860))/(123/205) and 55/3?
258
Calculate the common denominator of 83/384 and (-1)/4 - (4 + (-21 - -2)).
384
Suppose 400 = 7*k - 209. Let c = 123 - k. What is the smallest common multiple of 8 and c?
72
Let j be ((-84)/(-98))/((-80)/(-150766)). Let x = -6421/4 + j. Let t = 16937 - 372701/22. Find the common denominator of t and x.
110
Suppose b - 13 = 5*n + 5, 0 = -n - 3. Suppose -b*u + u = -10. What is the smallest common multiple of u and 6?
30
Suppose 0*l = -l - 1. Calculate the common denominator of 114/108 - (0 - l) and 131/18.
18
Let p be 2/(-60)*1942150/(-7080). Let u = p - 10/531. Calculate the common denominator of u and 1/4 - (-31)/20.
40
What is the least common multiple of 18 and 30/(-4)*(-112)/70?
36
Let p be ((-2)/(-4))/(129/240). Let x = p + 537/301. Let b = -1086 - -2219/2. Find the common denominator of x and b.
14
Suppose 2*o = -o + 54. Suppose 0 = 27*b - 39*b + 504. What is the lowest common multiple of o and b?
126
Let j = 2620 + -3897. Let h = -8905/7 - j. Calculate the common denominator of h and -47/5.
35
Let h = -5 + 9. Let n be (h + -3)*-1*0. Suppose 3*v + 18 = 3*i, n*i + 3*v = -2*i + 12. What is the least common multiple of i and 11?
66
Suppose 59*m - 68*m = -4860. What is the lowest common multiple of 36 and m?
540
Suppose 6*c - 4*c + 32 = 0. Let d = 6623/4708 + 1/428. What is the common denominator of (-6)/(-2*c/22) and d?
88
Let n(k) = -k**3 - 22*k**2 - 38*k + 49. What is the smallest common multiple of n(-20) and 18?
18
Let n be ((-2)/((-120)/(-61254)))/(3/29). Let d = n - -9878. What is the common denominator of -7/4 and d?
20
Let r(j) = j**2 - 3*j + 3. Let y be r(2). What is the common denominator of 268/(-10)*y/(-2) - 2 and 29/4?
20
Let p(v) be the second derivative of 3*v**5/20 + v**4/4 - 5*v**3/6 + 7*v**2/2 + 21*v. What is the smallest common multiple of 33 and p(2)?
33
Let g(t) = 18*t + 48. Calculate the lowest common multiple of g(0) and 8.
48
Suppose -21*r + 468 = -8*r. Calculate the least common multiple of 36 and r.
36
Let q = 434 + -272. Let s = 47 + -27. What is the smallest common multiple of q/24*8/3 and s?
180
Suppose 4*x + s = 12, -5*x - 2*s = -4*s - 15. What is the common denominator of -25/3 and ((-3)/15)/((-16)/2340*x)?
12
Let p(r) be the first derivative of -3*r**2 - 5*r + 1. Let j be p(6). Let h = j - -57. What is the least common multiple of h and 12?
48
Suppose 2*x - 68 = j - 203, -5*j - 2*x = -675. Calculate the lowest common multiple of j and 50.
1350
Let y(j) = -6*j - 39. What is the lowest common multiple of 651 and y(-8)?
1953
Let s(k) = 2*k**2 - k + 1. Let o be s(1). Suppose 0 = o*v - 6 - 0. What is the least common multiple of -1*(v - 1 - 12) and 4?
20
Suppose -2*r = -4*o - 12, r - 24 = -0*r - 4*o. Let p(f) = -2*f**2 - 34*f - 14. Let m = -75 - -60. What is the least common multiple of p(m) and r?
276
Let o be (-2)/168*(-456)/(-54). Let v = -19847/3780 - o. What is the common denominator of v and 21/16?
80
Let j be (48/(-9 + 5))/(3/2). Find the common denominator of (-35)/(-12) - (5 + j) and 67/22.
132
What is the common denominator of (-2)/(-15) - 5760/2200 and 29/159?
1749
Suppose -10 = -4*b + 46. Suppose 15*y - b*y = 2. Suppose -j - 8 = -2*n + n, -2 = n + 4*j. What is the least common multiple of n and y?
6
Let d = 6410165/913 - 7021. Let g = d + 44833/10956. What is the common denominator of -11/14 and g?
84
Suppose 4*s + 0*s = 0. Suppose 6 = -s*v + 2*v. Suppose 4*h + v*b - 3 - 4 = 0, h = 2*b - 1. What is the least common multiple of 10 and h?
10
Let d(s) = s**3 + 6*s**2 + 4. Let l be d(-6). Suppose -l*h - 55 = -135. What is the least common multiple of 22 and h?
220
Let o(q) = -16*q - 2. Let w be o(-2). Suppose w = -5*m + 5*d, -3*m + 24 = -7*m + 3*d. Find the common denominator of 37/m - (6 - 5) and 45/2.
6
Let v(w) = -4*w**2 - 3*w - 1. Let r be v(-2). Let l = r - -19. Let t = l - -4. What is the smallest common multiple of t and 14?
84
What is the common denominator of (-2002)/(-1260) - -4*3/54 and -41/24?
360
Let i be (-44)/(-2) + 0 - -2. Suppose 4*x - i = 4. Calculate the smallest common multiple of (-119)/(-11) + (-14)/(-77) and x.
77
Let f(u) = -u - 6. Let k(n) = 4*n + 18. Let h(l) = -7*f(l) - 2*k(l). What is the smallest common multiple of 4 - -6 - (-2 + 2) and h(4)?
10
Let a = 22 - 12. Let h(j) = -j**2 + 1. Let i(t) = -5*t**2 + 11*t + 14. Let l(u) = -4*h(u) + i(u). What is the least common multiple of l(a) and 8?
40
Suppose 420 = -11*j + 41*j. What is the lowest common multiple of 130 and j?
910
Let y(v) = -v**2 + 3*v + 8. Let z be y(-4). Let b be (72/z)/((-1)/(-5)). What is the common denominator of -91/4 and (b/(-10))/(2 + -3)?
20
Calculate the common denominator of (3/((-6)/53))/(-4) and (-15)/9*(1734/(-4))/(-17).
8
Suppose 0 = -2*d + h + 6, 2*h = -4*d - h + 22. Suppose -4*m - 10 + 38 = -d*r, 0 = -m - 2*r + 