be (-4)/12 + 2/(-3). Let d = r - -2. Calculate the lowest common multiple of k and d.
9
Let o = 26 + -29. What is the common denominator of 3 + o - (-117)/(-93) and -32/5?
155
Let f = -1297625/8 - -162416. Let z = f - 214. What is the common denominator of z and ((-285)/18)/((-14)/6)?
56
Suppose -5*r + 3*g = -119, g + 5 = 7. What is the least common multiple of r and (36/54)/(2/15)?
25
Suppose -4 = a - 3*a. Suppose -z = -a*r - 16, 0*r - r + 36 = 5*z. Suppose -2*s - 2 = -4*s. Calculate the least common multiple of z and s.
8
Let l be ((-11)/44)/((-2)/(-460)). Let x = l + 59. What is the common denominator of (-3)/18*678/12 and x?
12
Suppose -7*v + 10*v = -42. Let p = -16 - v. Calculate the least common multiple of 9 and (p/(-4))/(6/168).
126
Suppose -4*w + 28 = 2*r + 74, -5*r = 5*w + 70. Let s(a) = a**2 + 9*a + 11. Calculate the least common multiple of 30 and s(w).
330
What is the common denominator of 570/63 + 2/7 and -113/20?
60
Let j = -19/10 - -199/110. Calculate the common denominator of -27/7 and j.
77
Let r(l) = -5*l - 1. Suppose 0 = 2*d - 122 + 62. Calculate the smallest common multiple of r(-1) and 320/d*(-9)/(-3).
32
Let s be -3 - (4 - 5) - 48. Calculate the common denominator of 55/14 and (-4 - s/64) + 1.
224
Let f(k) = 4*k - 42. Let v be f(6). Calculate the smallest common multiple of (-3)/v - (-1938)/36 and 6.
54
Suppose -1 - 3 = c, -3*l + 3*c + 39 = 0. What is the least common multiple of -13 - (18 + -11)*-5 and l?
198
Suppose -f - c = c - 2, 8 = 3*f + 4*c. Suppose 0 = -0*p - f*p + 28. Suppose 0*i + 4 = i. Calculate the smallest common multiple of p and i.
28
Find the common denominator of 13/(35/(-6)*(-13 - -16)) and -117/56.
280
Let u = 3705 + -5820. Calculate the common denominator of -3 - (2/(-4))/((-198)/u) and -65/36.
396
Let h(t) = t**3 + 3*t**2 - 11*t - 8. Let f be h(-5). What is the lowest common multiple of 24 and ((198/(-15))/f)/((-2)/(-20))?
264
Let x = -13139 + 472945/36. Calculate the common denominator of x and -83/399.
4788
Calculate the common denominator of -6*((-357)/2352 - 1/(-4)) and -1/112.
112
Suppose -31*t = -7*t - 1848. Calculate the smallest common multiple of 84 and t.
924
What is the lowest common multiple of (-2 + (-116)/(-10))*590/59 and 80?
480
Suppose 5*p - 35 = -5*f, p - 9*f + 5*f = -8. Let n be (2 - (-8)/(-2)) + 0. Let k(w) = -w**3 + w**2 + 3*w + 2. Calculate the least common multiple of k(n) and p.
8
Let h be (-6)/(-4)*(2 - 0). Let a be (-6 + 9)*(-10)/h. Let w = 15 + a. Calculate the smallest common multiple of w and 1.
5
Suppose -120 = -3*h - 0*h. Suppose 4*w - h = -0*w. Suppose -18*o + 15*o = -12. Calculate the smallest common multiple of o and w.
20
Let b(w) = -w**2 - 14*w - 5. Let h(n) = 2*n**3 + 2*n + 1. Let o be h(-1). Let m be -10 - (o + 12)/3. Calculate the smallest common multiple of b(m) and 12.
24
Let h be 6/(-18)*18/2. Calculate the least common multiple of h/((-9)/(-10))*-6 and 14.
140
Let y(x) = -6*x - 12. Calculate the least common multiple of 20 and y(-3).
60
Let o(w) = -10*w - 2. Let d(s) = 2*s**2 + 4*s + 14. Calculate the lowest common multiple of d(-2) and o(-2).
126
Let y = 1/3390 + 33617/1695. What is the common denominator of -119/48 and y?
48
Let h(u) = -525*u + 25. Let v(i) = -175*i + 8. Let p(z) = -2*h(z) + 7*v(z). Let q be p(6). What is the common denominator of q/64*4/(-6) and -69/20?
40
Suppose 3*w - 118 = -w + 3*v, w - 36 = 4*v. Let c = -22 + w. Suppose -3*h = h - 16. What is the least common multiple of c and h?
12
Suppose 4 = 4*z - 12. Let d = 0 + z. Calculate the common denominator of ((-33)/16)/(6/d) and -119/6.
24
Suppose -2*x - 55 = -7*x. Let g(j) = -56*j + 24 + 32*j + 29*j. What is the smallest common multiple of x and g(-4)?
44
Let l(t) = -2*t**2 + 2*t - 3. Let v be l(6). Let i(q) = q**3 - 16*q**2 + 51*q + 60. Let x be i(14). What is the common denominator of x/70 - 9/v and 20/11?
55
Let y(z) = z**3 - 9*z**2 + 2. What is the smallest common multiple of -6*(-3)/18*-2 + 9 and y(9)?
14
Let c be (-2 + 3)/((-4)/(-12)). Suppose -c*p + 12 = 0, -3*d - p + 21 = -31. What is the least common multiple of 20 and d?
80
Suppose -5*s + 2*l = -l + 734, 2*s - 5*l + 286 = 0. Calculate the common denominator of (42/(-56))/(6/s) and 35/6.
6
Find the common denominator of -43/12 and (37/(-18))/(69/207).
12
Let b(k) = 2*k**3 + k**2 + 4*k - 3. Suppose 8*m = 5*m + 6. Calculate the least common multiple of b(m) and 55.
275
Let r = -28 + 20. Calculate the common denominator of r/4 - (-74)/(-24) and -35/6.
12
Let c be -253 + (-2 - -3) + -3 + 4. What is the common denominator of c/36 + (-2)/(-8) and -101/4?
36
Suppose 44 = -19*w + 23*w - 5*r, -2*r = -3*w + 40. Suppose 0 = -5*y + y + 8. What is the smallest common multiple of y and w?
16
Let b be (2/(-35))/((-10)/861405). Let h = b + -4923. Calculate the common denominator of h and -4/11.
385
Suppose -s - 5*l + 22 - 5 = 0, 4*s - 112 = 2*l. Calculate the least common multiple of s and 21.
189
Let v(t) = 7*t - 3*t**2 - 4*t + 4*t**2 - 20 + 6*t. What is the lowest common multiple of v(-11) and 6?
6
Find the common denominator of (9/(-150))/((-17)/((-18530)/24)) and (-2 - 0)*205/(-100).
40
Find the common denominator of (144/3840)/((-18)/(-515)) and 77/48.
96
Suppose -5*t = -4*b + 23 + 5, 2*b + 3*t = 36. Suppose b = 3*h + 108. Let o = 1161/10 - 116. Find the common denominator of h and o.
10
Calculate the common denominator of 40 and -4 - (6/(-20) - 55782/15120).
280
Let q be -4*2*(-12)/(-16). Let d = -3 - q. What is the smallest common multiple of 11 - (12/3 - 2) and d?
9
Let n be 1*15 - (-2 - -3). Suppose 9 = -c + n. Suppose -c*d + 21 + 9 = 0. Calculate the least common multiple of 13 and d.
78
Suppose 2*a + 0*u - 45 = 3*u, -35 = -2*a + u. Calculate the smallest common multiple of 6 and a.
30
Suppose -2*i + 4*q = -437 - 279, 3*i = -5*q + 1063. What is the lowest common multiple of 4 and i?
356
Let o = 21 - 40. Let h = o + 26. Suppose 5*g = 5*l + 60, 5 = 4*g + 3*l - 29. What is the lowest common multiple of h and g?
70
Suppose -518*u + 454*u + 1024 = 0. Let v = -108 - -65. Let y = -25 - v. Calculate the lowest common multiple of y and u.
144
Let j = 796533/49 + -16255. Find the common denominator of j and -50/63.
441
Suppose 11*g = 7*g + 840. What is the lowest common multiple of 18 and g?
630
Let m(i) = -i**3 - 8*i**2 + 18*i - 3. Let o be m(-10). Suppose o*z + 0 = 204. Calculate the lowest common multiple of 27 and z.
108
Let j(i) = -i**2 + 8*i - 6. Let v be j(6). Let u(q) = -3*q + 26. Calculate the least common multiple of u(v) and 17.
136
Suppose 300 - 90 = 5*v + 2*s, 0 = 2*v + s - 84. Calculate the lowest common multiple of v and 12.
84
Let w = 501 + -380. Calculate the smallest common multiple of 99 and w.
1089
Let z = 139388/21 + -6639. Let p be (-30)/10 - 1682/84. Let m = z + p. Calculate the common denominator of m and 119/6.
6
Suppose 2*j + 3*l = 3, -2*j - l = -4*l + 15. Let y be 1 - (j + (3 - 185)). Calculate the common denominator of 3 - (-7)/((-112)/y) and -121/10.
40
Suppose 0 = -41*c + 46*c - 25. Suppose -o + c*o - 1 = -3*g, -2*o = -3*g - 23. Calculate the lowest common multiple of 3 and o.
12
Let d = -9171/5 - -119172/65. Calculate the common denominator of -42/11 and d.
715
Suppose 8*z + 8*z = 288. Let t = 6 - 2. Suppose l - t*d - 14 = 0, -d = 5*l + 2*d - 116. Calculate the lowest common multiple of l and z.
198
Calculate the common denominator of 18/22 - 1 - (-1055)/(-550) and 7/30.
30
Let f be (-31 - 0)/((-2)/(-126)). Let m = -17632/9 - f. Calculate the common denominator of m and ((-26)/12)/((-3)/(-63)).
18
Let m = 5071837412795/66 + -76850107485. Let g = m - -12242500/3. Let y = 5250 + g. Calculate the common denominator of -111/22 and y.
22
Let y be (214/(-30))/((-6)/369). Let d(g) = -45*g + 8. Let h be d(10). Let k = h + y. Find the common denominator of -33/10 and k.
10
Suppose -265 = c + 4*n - 3*n, -5*n + 15 = 0. What is the common denominator of -145*(2 + 156/(-75)) and (-2 - c/(-24)) + -4?
30
Let w(h) = h**3 + h**2 + 3*h - 4. Let b be w(-5). Let z = 167 + b. Let r(t) = -t**2 + 5*t. What is the lowest common multiple of r(4) and z?
48
Suppose -3*j = 0, -12 = -5*c + 2*c - 2*j. Suppose 2*s - 24 = c*f, -s + 2*s + 12 = -4*f. Calculate the least common multiple of 12/((-35)/(-14) + (-2)/4) and s.
12
Let m(b) = b + 4.