 o = 46/195 + -1/390. Find the common denominator of 123/40 and o.
120
Suppose 0 = 4*l, 10*w + 30 = 5*w + 5*l. Let j = -12 - w. Let f(q) = -q**2 - 8*q - 2. Calculate the lowest common multiple of f(j) and 10.
10
Find the common denominator of (620/(-15) + -2)*(-12)/592 and 45/11.
814
Let z(w) = -w**3 + 9*w**2 + 3*w + 13. Let l(s) = 1. Let t(p) = -4*l(p) + z(p). Let h be t(9). Let g = h + -14. What is the smallest common multiple of 16 and g?
176
Let a be -3*(836/12 - -1). Let d = 1369/78 + 50/39. Calculate the common denominator of d and 2 - 1/(120/a).
30
Suppose 0*d + 4*d - 2800 = 0. Suppose -k - d = -6*k. What is the lowest common multiple of 4 and (-6)/9 + k/12?
44
Let t(h) = -2*h - 2. Calculate the smallest common multiple of t(-18) and 34.
34
Suppose 3*t - 5*q = -8, 2*t + 2*q - 7*q + 12 = 0. Let j = -189 - -195. What is the smallest common multiple of t and j?
12
Let m = -36 - -9. What is the smallest common multiple of 9/m*-3*(0 - -3) and 3?
3
Suppose 0 = 3*b + 63 - 3. Suppose 2*c + 4*x - 6 = 0, 3*x + 40 = 3*c + 4. Calculate the least common multiple of c and (-10)/b + (-13)/(-2).
63
Let l be (1076/1848*-2)/(3/15). Let k = l + 31/7. What is the common denominator of 89/30 and k?
330
Let l(j) = -5*j**3 - 2*j**2 + 1. Let x be l(-1). Suppose 2*i - x*i + 12 = 0. What is the smallest common multiple of i and (2/6)/((-2)/(-12))?
6
What is the common denominator of (-56)/70 - 246/80 and -61/740?
1480
Let i = -22557/81445 + 2/895. What is the common denominator of i and 27/11?
1001
Let v(w) = -3*w - 20. Suppose 0 = -2*r - 18 + 2. Suppose 0 = 2*x + 2*l - 20, -54 = -2*x - 2*x + 3*l. What is the smallest common multiple of v(r) and x?
12
Calculate the common denominator of 108/1440*515/12 + -5 and 62/39.
1248
Let n(s) = -10*s**2 + s - 6. Let l be n(3). What is the common denominator of 134/(-6) - (2 + -3) and (-93)/(-124) + (l/44 - -1)?
33
Let y(q) = -8*q + 10. Let f be y(2). Suppose 0 = 4*z + 5*t + 155, -3*z + 2*t - 122 = -0*z. What is the common denominator of 5/2 and (f/(-9))/(z/(-195))?
4
Let g(r) = -6*r - 14. Let x be g(-12). Let w = -47 + x. Calculate the lowest common multiple of w and 8.
88
Let a = -68 + 101. Calculate the lowest common multiple of a and 33.
33
Let u = 1739257 + -1205352. Let f be u/(-900) + (-2)/(-18). Let w = f - -2991/5. Find the common denominator of 45/22 and w.
132
Let h = -2709 - -16195/6. Calculate the common denominator of -79/60 and h.
60
Let l = 186193 - 17128319/92. Let v = -26/23 - l. Let z = 118/17 - 2215/204. Calculate the common denominator of v and z.
12
Let j(b) = -18*b**3 + 8*b**2 + 7*b - 1. Let s be j(-6). Let x = s + -24715/6. Find the common denominator of 16/9 and x.
18
Suppose 2*u - 2 = 16. Let s be 33/15 - (-1)/(-5). Suppose -s*v + 4*l = -22, v + 4*l - 6 = -25. What is the least common multiple of u and v?
9
What is the common denominator of (-12)/(-16) + (1 - (-69560)/(-38304)) and -81/10?
11970
Suppose 4*a + u - 1 = 33, -2*a = -5*u - 6. Calculate the least common multiple of 563 and a.
4504
Let m(b) = b**2 - 6*b + 4. Let z(y) = -y**2 + 14*y - 12. Let d be z(12). Suppose w + w = d. What is the lowest common multiple of m(w) and 9?
36
Let f = -214/19 - -63/95. Let s = 1288/195 - -31/39. Find the common denominator of f and s.
5
Let r be (175 - (2 - 1))/1. Calculate the common denominator of -33/8 and (-1*2/(-4))/(24/r).
8
What is the common denominator of 1/(82/114 - 1) and ((-28)/(-462))/(4/(-201))?
176
Let u = 46 - 26. Let m = -51 - -65. What is the smallest common multiple of m and u?
140
Find the common denominator of 127/18 and (226/(-240))/((-18)/(-36)).
180
Suppose 2*m + 21 = -3*h, 0 = -5*m - 5*h - 16 - 24. Calculate the common denominator of 16 + 6/(-18)*3/m and -62/9.
9
Suppose 22 = 14*r - 6. What is the common denominator of r/12*(-600)/42 and 65/57?
399
Let v be (-14)/49 + 86/7. What is the smallest common multiple of 1 and (-42)/4*v/(-18)?
7
Suppose -2*k - 28 = -6*k. Suppose -4*h = -k*x + 3*x + 96, 4*x - h - 84 = 0. Calculate the least common multiple of x and 8.
40
Let m(f) = 9588*f - 2. Let v be m(-4). Let h be (-424858)/96*(-156)/18. Let n = h + v. Calculate the common denominator of 39/10 and n.
360
Suppose n + 57 = -5*o, -14 = o - n + 1. Find the common denominator of (24/(-160))/(o/10) and 29/18.
72
Let s be 4/10 + (-342)/(-45). Suppose 1 = -r - s. Calculate the common denominator of 101/6 and ((-44)/10)/(r/(-5)).
18
Suppose 5*q - 13 = x + x, 3*x + 3*q - 33 = 0. What is the smallest common multiple of 1*8*(-5)/(-20) and x?
6
Let s = 62 + -3. Let x = 247/4 - s. What is the common denominator of ((-206)/(-44) - 0) + 0 and x?
44
Let k(b) = -28*b**2 - 4*b - 2. Let z be k(-1). What is the lowest common multiple of 8 and 284/13 + (-4)/z?
88
Let g = 28647/4900 - -9/2450. Calculate the common denominator of -67/16 and g.
80
Let g be (2 - 2) + (1 - 29). Find the common denominator of 19/21 and g/7 - (1 + 21/9).
21
What is the smallest common multiple of 3/(-2) - (-93744)/288 and 216?
648
Let n be -2 + 6/(3 + -6). Find the common denominator of -7/18 and n/(96/(-103)) + (-3)/(-4).
72
Suppose 2*l - 6 = -3*h - h, 0 = 4*h - 4*l - 36. Let c be 2/h*2 + 4. Suppose 0 = c*f - 0*f - 15. Calculate the lowest common multiple of f and 4.
12
Let y = -1219/7150 - -17/325. Calculate the common denominator of -26/33 and y.
330
Let h be -1 + -2 + 102/(-50)*-3. Let c = h + -258/275. Find the common denominator of -85/44 and c.
44
Suppose -14 = -4*h - 6. Calculate the common denominator of 2/(-6) + 161/(-30) and h/(-54)*(-762)/4.
90
Suppose 0 = -4*o - 4*x + 32, -o = -15*x + 10*x - 20. What is the lowest common multiple of 35 and o?
70
Suppose 0 = 4*n + 4*q - 7 + 3, 0 = -3*n + 4*q + 38. Let t = -198 - -222. Suppose 0 = 9*i - n*i - t. What is the lowest common multiple of 1 and i?
8
Calculate the common denominator of 187/3810 and (-2)/(-11) - (-1410)/660.
41910
Suppose 5*b - 5*a = 5, -1 + 4 = -5*b - 3*a. What is the lowest common multiple of 3 and (-130)/(-52)*(4 + b)?
30
What is the common denominator of (-8)/(-14) + (-1094)/(-560) and -94/45?
360
Suppose 2*k + 2*t + 50 = 0, t = 4*k + 3*t + 98. Let d(n) = 2*n**2 - 2. Calculate the least common multiple of d(2) and (9/4)/(k/(-64)).
6
Let m be (16/14)/(((-12)/14)/(-3)). Suppose 4*i - 14 = 2*b + 136, m*i - 153 = b. Calculate the least common multiple of 3 and i.
39
Suppose -4*v = 2*n + 3 - 13, 5*v - 14 = -n. Let p(y) = -y**3 - 4*y**2 + 3. Suppose -4*r = r + 20. Calculate the least common multiple of p(r) and v.
3
Let y = 4/103375 + -8375431/53134750. What is the common denominator of y and -73/4?
1028
Let k = -4819/6 - -806. Suppose -4*j - 7 = 2*x + 17, 3*j = 5*x + 8. Find the common denominator of 0 - 25*3/x and k.
12
Let l = 1/27979 - 1902701/3609291. Find the common denominator of 77/6 and l.
258
Let h(g) = -g**3 + 4*g**2 - 2*g + 3. Let v be h(4). Let y = v + -7. Let o = y + 16. Calculate the smallest common multiple of o and 11.
44
Let w = -462 - -476. What is the smallest common multiple of 564 and w?
3948
Let k be -5 + (-11)/(66/744). Calculate the common denominator of 35/27 and 4/12*k/(-45).
135
Suppose 550 - 112 = y. Calculate the common denominator of 3/1 - (-132)/16 and y/(-54)*(-9)/(-6).
12
What is the common denominator of ((-4)/80)/(7/(2604/9)) and -58/35?
105
Suppose 176 = 7*y - 62. Let t = 36 - y. Calculate the least common multiple of 6 and t.
6
Let p = 5606 - 1238928/221. What is the common denominator of p and 107/170?
2210
Calculate the common denominator of ((-34)/(-4))/(21/(-6) + 0) and -13.
7
Let c = -4 + -11. Let h = 5 - c. Suppose j + 22 = 2*j. Calculate the smallest common multiple of j and h.
220
Suppose -4*y = 5*h + 3, 6*h - 3 = 3*h. Suppose 4*d + 5*a = 67, 0 = -3*a - 3 - 0. What is the least common multiple of 5 + (-5)/(-3 - y) and d?
90
Let a = -4034/3783 + -2/6305. What is the common denominator of a and -73/237?
1185
Let y(s) = 4*s + 80. What is the least common multiple of y(-17) and 10?
60
Let j = -112/11 + 124/11. Let b = j + -59/44. What is the common denominator of -101/16 and b?
16
Let g be (878 - -1)*21272/22. Let j = 851413 - g. Let y = -1496 + j. Find the common denominator of 39/10 and y.
110
Calculate the common denominator of 26/15 and ((-1363)/(-174))/(3/(-1)).
90
Let h = 1 + 0. Suppose 75 = 14*g - 9*g. Let n = h 