he least common multiple of 4*(180 - 10)/17 and (-258)/x + (-4)/16.
160
Suppose -2*r + 5*w + 180 = 0, -5*r + 380 = -0*w + 5*w. Calculate the lowest common multiple of (-6)/(-54)*6 - (23904/27)/(-16) and r.
560
Suppose -20 = -2*g - 0. Let j(i) = -3 + 3 + 556*i - 554*i - 16. Calculate the lowest common multiple of j(g) and 1.
4
Let z = -907/62 + -50/93. What is the common denominator of z and ((-9)/(18/(-52)))/8?
12
Calculate the common denominator of -53/42 and ((-21)/672)/(590/155 + -4).
1344
What is the common denominator of (103/(-200))/((-2358)/(-655)) and 121/20?
720
Let x = -165 - -482. Let i = -312 + x. Calculate the least common multiple of i and (6/(-9))/(4/(-42)).
35
Let j be 5 + (-24)/3 - 14994/(-3705). Let g = -3/988 - j. What is the common denominator of g and 29/7?
140
Let i be -3*(11/(-12))/(6/(-48)). Find the common denominator of ((-126)/(-840))/(3/i) and 97/(-12) + -5 + 3.
60
Suppose 5 = -4*n + 3*t, n + n - 2*t + 4 = 0. Suppose -3 = -2*u + 5. Suppose 0 = l + n, -3*l = u*x - 117. Calculate the smallest common multiple of 24 and x.
120
Suppose -4*c - n = 2*n - 45, -4*c = -n - 49. Let w(z) = 26*z - c*z - 4*z. What is the least common multiple of 7 and w(1)?
70
Suppose 7203 = c - 4842. Let h = c - 216733/18. Calculate the common denominator of h and 139/54.
54
Suppose -20*j = -3706 + 20606. Let w = -790 - j. What is the smallest common multiple of 5 and w?
55
Let h be 6/30 - 10/150*-717. Let b(w) = -w**2 + 6*w - 5. Let j be b(5). Suppose -5*m + h + 42 = j. What is the smallest common multiple of 16 and m?
144
Let m be (0 - 4) + (-1 - (-27)/1). Let w(l) = 13 + 9 - m - 6*l. What is the smallest common multiple of 30 and w(-2)?
60
Let z be ((-6)/(-136))/((-985)/280 - -4). Let u = -4993/612 - z. What is the common denominator of -25/48 and u?
48
Suppose -5*q + 24*m - 21*m = 975, 0 = q - 3*m + 183. Let s = -190 - q. Calculate the lowest common multiple of s and 10.
40
What is the common denominator of -94/375 and ((-663)/390)/(8/(-3))?
6000
Let l(p) = p**2 - 2*p + 3. Suppose 0 = -5*s + 122 - 12. Suppose s - 12 = 5*c. What is the smallest common multiple of 9 and l(c)?
9
Suppose -5*x + 7 + 85 = -4*f, -x - 4 = 0. Let s = -12572/9 - -1400. Find the common denominator of s and -39*(4/f*29 + 4).
63
Let x = 115826 + -1737376/15. What is the common denominator of x and 5/3*8/75?
45
Suppose 6*t + 47 = 17. Let i be (-5)/145055 - t - 5. Let r = 4206613/522198 + i. Find the common denominator of -19/186 and r.
558
Suppose 0 = -4*y + 5 + 119. Suppose y*p = p + 180. Calculate the least common multiple of p and 16 + -7 + (0 - -4).
78
Let s be (3/(-4))/((-2)/8). Suppose 0 = -4*k - s*t + 2 + 17, 5*t - 13 = -4*k. Suppose -k*z + 0*z = -63. Calculate the lowest common multiple of z and 30.
90
Let s(q) = -7*q**2 - 170*q - 262. Calculate the least common multiple of 270 and s(-22).
270
Suppose 4*h = -2*f - 42, 2*h + h + 14 = -5*f. Let i = 28 + h. Let w = 2377 + -2362. Calculate the least common multiple of w and i.
15
Let o be ((24/20)/(-2))/((-1)/5). Suppose o*a - 16 = -37. Calculate the common denominator of -37/11 and (-475)/(-84) - (10/a + 2).
132
Find the common denominator of (-49)/145*495/(-594) and -39/8.
696
Suppose i - 8 = 2*i - 4*c, -i - 3*c = -20. Suppose -2*n = -4*n + 5*b + 38, 5*b = 10. What is the least common multiple of n and i?
24
Let g be 48/(-5) - (-12)/(-30). What is the common denominator of -33/4 and (5*g/100)/((-2)/(-42))?
4
Let j = 114/7 + -16. Let y = -701/4 - -6389/36. Calculate the common denominator of y and j.
63
Let w = -529/40 - -488929/36840. Calculate the common denominator of w and -16/57.
17499
Suppose -2*a = 3*w - 3029, 4*a - 3*w = -2*w + 6093. Calculate the smallest common multiple of a and 5.
7610
What is the common denominator of (1273/(-75710))/((-4)/10) and -23/5?
2260
Suppose -4*r - 2 = 6. Let o(n) = -35*n + 248. Let j be o(7). Calculate the common denominator of 75/8 and (j/39)/(r/(-82)).
104
Let w be 268 + 1 - (7 - 0). Let y = 272 - w. What is the least common multiple of y and 35?
70
Suppose -20*b + 670 = -10*b. Suppose -b*f + 65*f = -12. Calculate the lowest common multiple of f and 9.
18
Let w(k) = k**3 + 5*k**2 - 12*k - 39. Suppose 2*r - 10 = 2*v, -10*v + 11*v - 4*r = -11. Let j = -13 - -43. What is the lowest common multiple of j and w(v)?
30
Let h(k) = k**2 - 26*k + 93. Suppose 4*u - v = 97, 5*u + 6*v - 9*v - 130 = 0. What is the least common multiple of h(u) and 8?
24
Suppose -2*x - 2 = h - 3*x, 4 = 3*h - x. Let m be 372/(-155)*5/(2 + -1). What is the common denominator of 173/42 and 3 + (1 - h) + 262/m?
42
Let h(p) = -p**3 + 2*p**2 - 7*p + 1. Let y = 86 + -86. What is the least common multiple of (-18)/(-4) - 3/(-6) and h(y)?
5
Let u(r) = -3*r**3 + 8. Suppose 18*q = 23*q - 4*m + 20, 5*q - 3*m = -15. Calculate the least common multiple of u(q) and 22.
88
Let y(i) = -7*i + 20. Let j be y(8). Calculate the common denominator of (-12)/j - 294/45 and 113/40.
40
Let i = -20925 + 22197. Calculate the lowest common multiple of i and 1802.
21624
Suppose 0 = 2*s - x, 3*s + 10 + 4 = 5*x. Calculate the lowest common multiple of 240 and s.
240
Calculate the common denominator of ((8/11)/(-4))/(774/(-1677)) and 17/4506.
49566
Let q = -1183168 + 56852939/48. Let b = q + -5071/4. Find the common denominator of b and -5/3.
48
Suppose -5*r - 230 + 225 = 0. Let d be (-70)/((-1)/(-2)*-2). What is the common denominator of 2/7 and r*(d/22 - 1)?
77
Let h = 2903359051/10153380 + -2/507669. Let t = 286 - h. What is the common denominator of t and 3/10?
20
Let y(k) = k**3 - 6*k**2 + 7*k - 2. Let o = -36909 - -36937. What is the least common multiple of o and y(5)?
56
Let y(l) = -3*l**2 - 34*l + 27. Let a be y(-15). Let b = -134 - a. What is the lowest common multiple of 1 and b?
4
Suppose -4*f + z = 5*z - 152, 5*z - 15 = 0. Suppose 2*h - 2 = 0, 4*r - f = -0*r - 3*h. What is the lowest common multiple of r and 10?
40
Let v(s) = -s**3 - 57*s**2 + 60*s + 128. Calculate the smallest common multiple of v(-58) and (-2398)/(-6) - 4/(-12).
1200
Let v(l) = 3 + 0 - 24*l**2 + 2*l + 53*l**2 + 6*l**2. What is the smallest common multiple of 36 and v(-1)?
36
Suppose 0 = 20*s + 196 - 336. Let p(x) = 2*x + 4. What is the lowest common multiple of s and p(6)?
112
Let j = -25/23 + 2161/782. Calculate the common denominator of 35/442 and j.
442
Let g(c) = 7*c - 72. Let v be g(11). Suppose 121 + 119 = v*n. What is the lowest common multiple of n and 36?
144
Suppose 0 = 4*j + 5*i + 11 + 2, -6 = 3*j + 3*i. Let m = -18614 - -18632. What is the least common multiple of m and j?
18
Let z be (11*36 + -3)*(-54)/2230. Let y be (-2)/446*-695 - (-9 - -12). Let a = z + y. Find the common denominator of -59/4 and a.
20
Suppose -p = 18*p. Suppose 0 = -y + c + c + 25, p = y - c - 24. What is the least common multiple of 10 and y?
230
Let f be 2155/(-462) + (1 - 2). Let j = 160/21 + f. Let q = 44654 - 178551/4. What is the common denominator of j and q?
44
Let o(k) = -k**2 + 29*k + 139. Calculate the lowest common multiple of o(31) and 231.
231
Let s = 46 - 32. Let i(g) = 2*g**2 + 46*g - 1. Let r be i(-23). Calculate the smallest common multiple of s and r/5 + (-12)/15 + 4.
42
Let o be 5/(-5)*-42 + 0. Let m = o + -24. Calculate the lowest common multiple of 36 and m.
36
Calculate the common denominator of (1778/180 - 2) + 4/10 and 1118/(-308) + ((-432)/(-63) - 7).
198
Let u = -31213889/3633606078 + 1/945759. What is the common denominator of u and -105/2486?
42262
Let i(c) = -2*c + 2*c + c + 10. Let m be i(-5). Suppose -m*v + 3*w = -24, 2*v + 4*w = 6 + 14. Calculate the smallest common multiple of 2 and v.
6
Let y = 44100/17 - 109014163/42024. Calculate the common denominator of -47/2 and y.
2472
Suppose 14*d - 24*d - 10960 = -15*d. What is the smallest common multiple of 6 and d?
6576
Let g = 372906 + -372765. Let m = 21 + -14. What is the smallest common multiple of m and g?
987
What is the common denominator of 26/63 and (-8736)/73500*(-10)/12?
1575
Let u be 1621/7 - 75/(-175). Suppose -5*a + u = -28. What is the smallest common multiple of 20/(-15)*(-10 + 1) and a?
156
Let w = -11 - -13. Suppose 0 = -l + w, -t - 3*t - l = -322. Calculate the least common multiple of t and 55.
880
Find the common denominator of 181/120 and (1995/(-3500))/((-3198)/60 + (-2