le of t and o.
55
Let q = -274945/12208 + 1081/48. Let u be (44/(-6))/((-14497)/16378). Let z = q - u. Calculate the common denominator of 18/5 and z.
35
Calculate the common denominator of -23/81 and 1/14 - 2018/1008.
648
Suppose 4*o + 8 = 2*o. Let u be 2346/(-3465) - o/6. Let v = u - -3029/385. Calculate the common denominator of v and -26/5.
35
Suppose 77 = 4*m + u - 38, 5*m + 2*u = 140. Calculate the lowest common multiple of m and 9.
90
Let v(r) = 1 - r**2 + 0*r**2 + 3*r**2. What is the common denominator of v(-1) and (5 - (-588)/(-120))/((-9)/(-915))?
6
Suppose 0 = 3*f - 5*a - 10, 17 = 3*f + 4*a - 29. What is the least common multiple of f and 86?
430
Let d(p) = -2*p**2 + 20*p + 6. What is the lowest common multiple of 33 and d(10)?
66
Suppose -4*f - 3*c + 2*c = -49, 42 = 2*f + 4*c. Suppose 5*g - 26 = -f. What is the common denominator of (g/(-6))/((-3)/(-19)) and 31/11?
66
Let v(j) = 25*j**2 + 3*j - 10. Calculate the lowest common multiple of v(2) and 14.
672
Let m(n) = 8 - 10*n - 10*n + 22*n. What is the lowest common multiple of 18 and m(4)?
144
Let f(w) = -2*w**3 - w + 616. Let i be f(0). Suppose 4*v = 15*v - i. What is the least common multiple of v and 2?
56
Let s = -183769/20 + 9186. What is the common denominator of 1/11 and s?
220
Let n = 2 + 4. Let m be n/(-20)*(-19325)/90. Let z = m - 63. What is the common denominator of -121/20 and z?
60
Let q = 194 - 53343/275. Find the common denominator of 51/100 and q.
1100
Let m be ((-5)/(-6905))/(1/49). Let p = m + 89307/363203. Let y = p + 23949/3682. What is the common denominator of y and -101/22?
154
Let w be (-1 + -27)*(15 - 17). What is the common denominator of 3/w*2*4142/57 and (-12)/15*39/48?
140
Let w = -81 - -93. Suppose k + 4 = w. What is the lowest common multiple of 36 and k?
72
Suppose -3*w - 20 = -5*m + 2*w, 0 = -4*m - 2*w + 16. Let h = -4136 - -28902/7. Find the common denominator of h and ((-2)/m)/((-7)/106).
7
What is the common denominator of (184/8 + -3)/(-21) and -20/273?
273
Suppose -27*c = -21*c - 690. Suppose -4*m - 36 = -o + 2, 5*o - 5*m = c. What is the smallest common multiple of 30 and o?
90
Find the common denominator of -13/460 and (-2 - (-37)/2)*(-352)/(-576).
1380
Suppose c = 17 - 22. What is the common denominator of 65/174 and (-86)/(-16) + (c - -7)?
696
Suppose 0 = 4*s + 4*f - 52, -4*f = -6*s + 3*s + 25. Let j(t) = t - 1. Calculate the lowest common multiple of (-1)/4*(25 - 49) and j(s).
30
Let f = 36972 + -4251834/115. Find the common denominator of 41/184 and f.
920
Let q = 99 - 49. Calculate the least common multiple of q and 140.
700
Let u = -12 - -16. Suppose 0 = -4*o + t - 2*t + 71, 69 = u*o + 3*t. Calculate the smallest common multiple of o and 24.
72
Let r be 1/((-1)/5) - -9. Suppose -3*g + 6*g - 174 = 3*w, -r*g - 5*w = -277. What is the smallest common multiple of g and 4?
252
Let j = 753894729/125320 + -7621/3133. Let w = 6013 - j. Calculate the common denominator of w and -9/16.
80
Suppose 2*g - 5 = 1. Let y(q) = 6*q**2 - 3*q + 3*q**2 - q**g + 12 + 2*q. What is the lowest common multiple of y(9) and 4?
12
Calculate the least common multiple of (11 + 2 + -4)*2/3 and 1.
6
Let a = -14/205 + 20053/2460. Find the common denominator of 445/8*((-168)/90)/(-14) and a.
12
Let s be (-364)/35*94/(-352). Let c = s - 81/20. What is the common denominator of c and (2 - 14)*(470/65 + -7)?
143
Let x(t) = t**3 - 3*t**2 + 2*t + 4. Suppose -2*l = -3 - 7. Suppose -w - 17 = -4*r, l*r = w + 24 - 2. Calculate the lowest common multiple of x(w) and 2.
10
Let g be 2520/(-55) + ((-4)/22)/1. Let m = g - -90. What is the least common multiple of 32 and m?
352
Suppose -5*z - 1020 = -10*z. Calculate the smallest common multiple of z and 8.
408
Let j = 142/465 - -5/31. Calculate the common denominator of j and -73/9.
45
Let f = -3/82 + -757/15170. What is the common denominator of -53/2 and f?
370
Suppose -15 = -3*b, -10 + 28 = 3*s - 3*b. Suppose 0 = -z + 3*z + 12. Let h = z + 7. Calculate the smallest common multiple of s and h.
11
Let g = 2715 - 13491/5. Let c = -656/45 + g. What is the common denominator of c and 65/2?
18
Let v = 46 + -47. Find the common denominator of 182/4 - (4 + v) and 13/2.
2
Let u(r) = r - 1. Let v be u(4). Suppose 3*f + 1 = 1. Suppose -3*a - v + 9 = f. Calculate the lowest common multiple of a and 14.
14
Let n(x) = -x + 5. Let j be n(7). Calculate the common denominator of 151/6 - (1 - j) and -79/15.
30
Find the common denominator of 6 + -12 + 12 + 5092/(-900) and 7/36.
900
Let i = -77 + 215/3. Let f = -539 + 3241/6. Calculate the common denominator of i and f.
6
Let w be 2/10*0 + 12. Suppose -w = i - 22. Suppose -5*v + i*v - 40 = 0. What is the least common multiple of v and 16?
16
Suppose -6 = -9*x + 6*x. Suppose 8 = -x*w + w. Let u = w - -12. Calculate the lowest common multiple of 16 and u.
16
Suppose 3*s - 923 - 685 = 0. What is the least common multiple of 20 and s?
2680
Let b = 14 + -88. What is the common denominator of (3 - 314/12) + 3 and 6/(-40)*b + -4?
30
Let r be 30/(-12)*(-57006)/15. Let z = r + -170939/18. Calculate the common denominator of -91/10 and z.
90
Suppose 17*a = 12*a + 720. What is the common denominator of -41/27 and -1 + 0 + (-132)/a?
108
Let c = 3779 + -45421/12. What is the common denominator of c and -151/24?
24
Let b(d) be the third derivative of -d**6/60 + 7*d**5/30 - 7*d**4/24 + d**3 - 9*d**2. Calculate the lowest common multiple of b(6) and 4.
36
Let k be (7105/1420 + -5)*(-4)/254. Let y = -536516/81153 - k. Find the common denominator of 4/33 and y.
198
Let a be ((-181)/14)/(8/(-656)). Let r = 1066 - a. Find the common denominator of (-373)/(-143) + (-2)/13 and r.
77
Suppose 5*s - 35 = 15. Calculate the smallest common multiple of 186 and s.
930
Suppose -4*s + 5*h + 110 = -546, -3*s + 495 = -3*h. Let t be ((-10)/6)/(6/610). Let q = t + s. Calculate the common denominator of q and -139/6.
18
Suppose -16*h + 13*h = 0, 3*q - 1104 = 3*h. Calculate the least common multiple of 368 and q.
368
Let x = 6117/236 + -69/59. What is the common denominator of x and 1/2*558/(-12)?
4
Suppose -c = -114 + 112. Let d(y) = 3*y**3 - 2*y**2 + 3*y + 2. What is the smallest common multiple of 16 and d(c)?
48
Suppose 2*w - 38 - 58 = 4*r, 5*r = 4*w - 186. Calculate the common denominator of 31/55 and w.
55
Suppose 4*x - 5*x = -22. Let p = -17 - -57. Suppose p = 3*i - 14. What is the smallest common multiple of i and x?
198
Let x = -9 - -12. Suppose 0 = x*y + 5*n + 1 - 11, 3*n = -y - 2. Suppose 3*h - 27 = 27. What is the smallest common multiple of h and y?
90
Suppose -2*s - s = -9, -2*v + 4*s + 38 = 0. Suppose -v = -25*w + 20*w. What is the smallest common multiple of w and 9?
45
Suppose 4*j = -5*p - 425, -5*p - j - 2*j = 420. Find the common denominator of ((-9)/p)/(2/(-59)) and -91/8.
72
Let s be (-166)/8*(105/7)/(-5). Suppose 0*o = 5*o + 355. Let x = o + s. Calculate the common denominator of -11/12 and x.
12
Suppose -3 + 21 = 6*p. What is the common denominator of p and 83/6?
6
Let c = -727679/8236767 - -5/13937. Calculate the common denominator of 79/6 and c.
1182
Suppose -3*n - 11610 = -2*j, 2*n + 7739 = -j + 2*j. Let v = -77397/20 - n. Let k = -894/5 - -4939/30. Calculate the common denominator of k and v.
60
Find the common denominator of 4/6 + 5/(-360)*-618 and 1/6 - 255/504.
56
Let z(x) = x**3 + 6*x**2 - 7*x + 10. Let m be z(-7). Suppose 2*f = -3*f + m. What is the lowest common multiple of 4 and f/(-6) - (-22)/3?
28
Suppose 168*f = -47*f + 1720. Let n = -3 - -15. What is the least common multiple of n and f?
24
Find the common denominator of 27/2 and (-294)/(-45)*20/16.
6
Suppose 6*m = -371 + 389. What is the smallest common multiple of m and 4?
12
Suppose -4*p + 4*u = -46240, u = -4*p - u + 46264. Let r = -138851/12 + p. What is the common denominator of 2/3 - 579/180 and r?
60
Let o(w) = w**2 - 5*w + 14. Let j be o(11). Let n(v) = v**3 - 5*v**2 + 3*v + 5. Calculate the lowest common multiple of (-6)/14 + j/7 and n(4).
11
Let u = 410687 - 2519981/6. Let k = -9331 - u. Calculate the common denominator of k and 55/21.
42
Let x be (-30)/75*(9 - -1). What is the least common multiple of 10 and 2/x*-4 + -4 + 16?
70
Let z(c) = c**3 - 5*c**2 - 8*c - 2. Let f be z(7). Find the common denominator of 25/4 and f/(-14)*7/(-14).