 -57309/8. Calculate the common denominator of w and 32/11.
88
Find the common denominator of (-1437)/(-270) - 3/30 and 52/45.
45
Let z = -1/615 + -1013/7380. Calculate the common denominator of (63 + 4 + -4)/(-20) and z.
180
Let a = -112 + 152. Let z = 41 - a. Calculate the smallest common multiple of 16 and z.
16
Suppose 2*i - 15 = 4*n + 15, 3*i + 2*n = 77. Suppose i = q + 9. Calculate the smallest common multiple of -3 - (-21 + (1 - -1)) and q.
112
Let z = -124 - -142. What is the common denominator of -1/81 and ((-47)/z)/(6/(-18))?
162
Let v = 1 + 29. Calculate the least common multiple of v and 66.
330
Let j = 4851/4 + -2475/2. Find the common denominator of j and -79/168.
168
Suppose -4 = -23*f + 22*f. Suppose 3*w + 3*n = 510, -2*w - 330 = -4*w - f*n. Calculate the common denominator of -57/4 and (-4)/(-10) - (-1280)/w.
28
Let n = -20 + 24. Suppose -3*p - 18 = -n*r, -5*p = -7 - 3. What is the smallest common multiple of r and 20?
60
Let o be -1*3 - (1564/(-20) - -4). Let r = o + -1417/20. Find the common denominator of r and 103/14.
140
Let q = 310 - 1247/4. Let n = 58 - 32. What is the common denominator of 1*2/(-22)*n and q?
44
Let k(l) = l**3 - 10*l**2 - 11*l + 9. Let q be k(11). Let v = q + -1. What is the least common multiple of v and 4 - 6 - -1*6?
8
Suppose 2*u + u = 21. Find the common denominator of (-13)/(-2 + (-75)/(-10)) and u*6*(-2)/(-44).
11
Let o = 44 + -42. Suppose z - 3*i = o*i + 43, z + 2 = -4*i. Calculate the lowest common multiple of z and 134.
1206
Let z = 383 - 319. What is the least common multiple of 6 and z?
192
Let u(l) = -114*l**2 - 5*l + 3. Let h be u(-3). Let x = h - -6115/6. Let i = 34305/182 + -1296/7. Calculate the common denominator of i and x.
78
Suppose 84 = 15*g - 18*g. Let l = g + 82/3. Find the common denominator of l and -1/2.
6
Let g = 2000 + -22035/11. Let q = -12 - -9. Find the common denominator of g and -4*((-63)/24)/q.
22
Let a = 780137/495 + -14192/9. What is the common denominator of a and 40/3?
165
Let a = -28951/9 - -3225. Let d(r) = -1382*r. Let m be d(2). Let o = m - -44199/16. Find the common denominator of o and a.
144
Suppose 3*m = -13 - 32. Let x be 2/(-5) - 51/m. Suppose 3*r - 16 = -4*k, k = -3*r + x + 28. What is the least common multiple of 10 and r?
60
Let k = 2938339/972 + -1150/243. Let g = 3033 - k. Find the common denominator of 23/2 and g.
4
Let l(f) = -2*f**2 + 20*f - 11. Let y be l(5). Let n = 22 - y. Find the common denominator of n and (1 - 0) + -2 - -8.
1
Let g = 8510 - 127738/15. Find the common denominator of g and 121/12.
60
Let n be (-259)/(-356) - 30/40. Let a = n + 556/979. Calculate the common denominator of 51/4 and a.
44
Let x = 12286 + -491491/40. What is the common denominator of 29/180 and x?
360
Let o(s) = -s**2 + 3. Let u be o(4). Let h = 127 + -108. Let w = u + h. Calculate the least common multiple of w and 12.
12
Suppose 5*y = 2 + 8. Suppose 0 = -4*a - l - 4*l + 8, -4*l = -a + y. Let n(j) = j**3 - 29*j**2 + 182*j - 29. Calculate the least common multiple of a and n(20).
22
Let q = 1197/2 - 83189/139. Find the common denominator of q and -67/12.
1668
Let b = 2/1003 - 23123/27081. What is the common denominator of b and -67/114?
1026
Let h = 225 - -325. What is the lowest common multiple of 350 and h?
3850
Let j be 44/(-16) + 3/4. Suppose 3*b = 7*b - 80. Let v = j + b. Calculate the least common multiple of v and 14.
126
Calculate the common denominator of -83/38 and (-105)/(-150) + 3 + -1 + 1.
190
Suppose d + 10 = 2*d + 4*s, 5*s - 10 = 0. Suppose d*j = 3 + 9. Calculate the least common multiple of j and ((-2)/3)/((-4)/12).
6
Suppose -2*r = 3*p - 11, -r + 2*p - 22 = -6*r. Suppose -r*l + 21 = 5. Calculate the least common multiple of l and 5.
20
Let x be -2 + 42 + (-16)/4 + 7. Let y = x + -39. What is the lowest common multiple of 12 and y?
12
Suppose 5*v + 3*o = 4*v + 18, 19 = 3*v + 2*o. What is the least common multiple of (-136)/(-12) + 2/v and 8/(-5)*(-15)/2?
12
Suppose -2*y + 646 = q, -3*q + 2*y - 4*y + 1918 = 0. Find the common denominator of (-20)/(-25) + (q/15)/4 and ((-18)/(-14) - 0) + -2.
35
Calculate the smallest common multiple of -27*(-5)/6*8/10 and 3.
18
Let q = 39 - 48. Let l = -59 + 99. What is the smallest common multiple of l and ((-21)/q - 2)*4*9?
120
Suppose 5*t = -5*t. Suppose -3*w + 4*o + t*o = -23, 5*w - 3*o = 42. What is the lowest common multiple of 21 and w?
63
Let k be 2/8 + (-65)/20. Calculate the smallest common multiple of 9 and (-4)/k - 35/(-3).
117
Suppose -2*b + 2*y = 7*y - 150, b - 68 = y. What is the common denominator of (-10)/(-8)*162/10 and (5 - 5) + b/18?
36
Calculate the common denominator of 137/24 and -11 - (-161)/14 - (-178)/8.
24
Let w(c) = c - 2. Let g be w(6). Suppose -g*r - 40 = -9*r + 5*m, -3*m = 0. Let f = -10 + 22. Calculate the smallest common multiple of r and f.
24
Let y = 10 + -5. Suppose -44 = -k - w, -3*k - 3*w = -2*w - 124. Suppose -y*n + n = -k. Calculate the lowest common multiple of 12 and n.
60
Let c = -20 + 12. Calculate the smallest common multiple of (-202)/(-17) + (-62)/(-527) and (3 + c)*(-16)/5.
48
Suppose 4*j = -3*d + 49, 13 = j + 28*d - 27*d. Suppose 2 = 3*l - 25. What is the smallest common multiple of l and j?
90
Let g(j) = 2*j + 108. Let k be g(0). Suppose 5*o + 13*o = k. What is the lowest common multiple of o and 27?
54
Let t = 223321/27 + -8270. What is the common denominator of t and (358/(-48))/(-1) - 3?
216
Let a be -1*(-3 - (-4 + 2)). Calculate the common denominator of 9/18 - 70/(-8) and 2/(-11)*a/4.
44
Suppose -39*v + 297 = -12*v. Suppose f + 0*f - 4 = -g, 0 = -5*f + 3*g + 44. Calculate the least common multiple of v and f.
77
What is the smallest common multiple of 9 - (-58 - (-60)/(-12)) and 8?
72
Let j(s) = 2*s**2 - 3*s - 3. Let m be j(4). Let l(u) = -u**2 + 18*u - 3. Let x = 17 + 3. Calculate the least common multiple of x and l(m).
140
Suppose -46 = -5*b - 2*g, -3*b - 22 = -5*b - 2*g. Let w = 1034 - 1012. Calculate the lowest common multiple of w and b.
88
Calculate the common denominator of 43/27 and (-286)/1092 - (-1)/2.
189
Calculate the smallest common multiple of (30/10)/((-7)/(-455)) and 9.
585
Let z = 0 - -2. Suppose -15 = -z*m - 2*c + 5, 3*m - 5 = 2*c. Suppose 30 = 5*r - 4*o, r - m*o - 12 = 15. Calculate the smallest common multiple of 11 and r.
22
Let v(i) = -5*i**3 - 3*i**2 + 4*i. Let q be v(2). Let p = q - -45. Calculate the least common multiple of 5 and p.
5
Suppose -5*i + 2*u + 16 = 0, 4 = -2*i - 4*u - 4. Suppose -3 - 3 = -i*w. Suppose 7 + 5 = w*k. What is the lowest common multiple of k and 4?
4
Let d = -254893/510 - -8412/17. Find the common denominator of d and 92/15.
30
Let u = -10 + 14. Let j = 12 + -2. What is the smallest common multiple of j and (-35)/(-14) - 6/u?
10
Let o = 3239/30 - 449/5. What is the common denominator of (-46)/(-16) + (-4)/2 and o?
24
Let z = 2014363/350 - 5755. What is the common denominator of -54/35 and z?
350
Suppose l = -u - 0 + 5, -5*l + 15 = 0. Suppose u*z = 7*z - 20. What is the lowest common multiple of z and 9?
36
Let f be (-1325)/348*1/(-10). Let r = 1/174 - f. Find the common denominator of 3/(-4) + (2736/(-64) - -2) and r.
8
Let p = 6573 + -6565. Suppose 2*j - 70 = 14. Calculate the smallest common multiple of p and j.
168
Suppose -3*t + 61704 = -6*t. Let p = t - -246965/12. Calculate the common denominator of p and -85/54.
108
Let j be (-2 - 248/34)/((-10)/(-5)). Let y = -381/221 - j. What is the common denominator of y and 11/6?
78
Let n be (-8)/2 + 0 + 2. Let y be (-2)/(n/(-5154)*-4). Let u = 1324 - y. Calculate the common denominator of u and 95/18.
18
What is the common denominator of (30/(-9))/(-5) - 152/(-216) and -121/96?
864
Let v(l) = 17*l. Let t be v(-6). What is the common denominator of 23/4 and (t/(-4))/(12/10)?
4
Let f(j) = -j**3 + 18*j**2 - 14*j + 21. Let s be -2*(51/6)/(-1). What is the smallest common multiple of 10 and f(s)?
360
Let c be 62180/25 + (-3)/(-1). Let b = -2501 + c. Calculate the common denominator of 17/41 and b.
205
Let x be 71 + 4/26 + 74/26. Let m = x + -68. Calculate the lowest common multiple of 8 and m.
24
Let a(q) = -2 + 12 - 11. Let g(u) = -16*u + 5. Let s(v) = 5*a(v) + g(v). What is the least common multiple of 22 and s(-1)?
176
Let h(k) be the first derivative of k**2/2 