. Calculate the least common multiple of (8 + -13 + 1)/(j/(-14)) and 8.
56
Find the common denominator of (18/21)/((-175)/(-1180)) + (-60)/10 and 103/882.
4410
Suppose -2*q + 5298 = 92. Let d be 5 + (0 - q/521). Let v = d + 3639/2084. What is the common denominator of -73/4 and v?
4
Let j = -14 + 9. What is the lowest common multiple of ((-77)/(-21) - 5)/(7/(-42)) and (-11)/j + 4/(-20)?
8
Calculate the lowest common multiple of 108 and (-12)/(-72) + (-358)/(-12).
540
Suppose 10 = 2*g - 2. Calculate the smallest common multiple of (-1)/(-5)*(-10)/(-15)*675/9 and g.
30
What is the least common multiple of 5588 and (177 + -1)/(16/30 + (-94)/(-705))?
33528
Suppose 4*a + 3*g = 1605, g + 401 = a + 2*g. Calculate the least common multiple of 5 and a.
2010
Let a = -43844621/252 + 173987. Find the common denominator of a and -13/1596.
4788
Suppose 3*a = -n + 81, n + 5*a + 11 = 120. Calculate the least common multiple of n and (2 + -5)/(1/(-11)).
429
Suppose -t - 4*t = -100. Suppose 0 = 27*u - 246 - 240. What is the smallest common multiple of u and t?
180
Let p = -16876 + 17506. Calculate the least common multiple of 1260 and p.
1260
Let t be -2 - (-43 + -2 - 4). Suppose o - 23 = -o + 5*m, -5*o + 2*m + t = 0. Suppose 2*p = 7*p - 20. What is the lowest common multiple of p and o?
36
Let o be ((-932)/212)/(3/27). Let l = -130885/424 - o. Let t = l - -814/3. Find the common denominator of t and 37/8.
24
Let z(q) = -75*q**3 - q**2 - 4*q + 4. Suppose 0 = 8*d - 10*d + 40. Calculate the least common multiple of d and z(-2).
3040
Let w(i) = 2*i**2 + 22*i - 118. What is the lowest common multiple of 20 and w(10)?
3020
Let t = 23749/168 + -1033/7. What is the common denominator of 38/495 and t?
3960
Find the common denominator of 6/20*(-73)/(-12) and 1644/1155 + 337/3707.
280
Suppose 5*l - 5*z = 2*l, l + 4*z - 17 = 0. Suppose -2*u + 215 = 3*u + 2*v, 3*u = l*v + 98. What is the smallest common multiple of u and 3?
123
Let r(c) = c**3 + 8*c**2 - 50*c + 9. Let k be r(-12). What is the common denominator of -31/78 and (227/117 - 2)*k?
78
Let b(t) = -6*t**3 - 4*t**2 + 3*t - 8. Let h = -410 + 430. Calculate the smallest common multiple of b(-4) and h.
300
Let t(o) = -o**3 + 10*o**2 + 10*o - 90. Let p(w) = -w**2 - 6*w - 1. Calculate the lowest common multiple of p(-4) and t(10).
70
Let a = -172 + 172. Calculate the common denominator of (-230)/340 + a + (-1)/4 and -43/20.
340
Suppose 2*p + 2160 = 4*n - 6978, n - 2302 = -2*p. What is the smallest common multiple of n and 286?
2288
Let f(l) = -3*l**2 + 529*l - 2066. Calculate the smallest common multiple of 413 and f(169).
1652
Let l = 888290 + -5366225/6. Let a = l + 6095. What is the common denominator of 61/916 and a?
2748
Let y be 2/6 + 900335/840. Let w = -5873401/5544 + y. Let j = w - -1/198. Calculate the common denominator of j and -29/2.
4
Suppose 0 = 3*i + 5 + 1. Let c be (22/6 - 5)/(i/(-6)). Find the common denominator of (870/12)/(2*(-18)/c) and -107/14.
126
What is the common denominator of -13/1620 and ((-2)/1440)/(60/(-2480))?
1620
Let b = -17556 - -17611. Let c(g) = -g**2 + 5*g + 5. What is the smallest common multiple of b and c(5)?
55
What is the common denominator of 21/1012 and (-4195)/(-414) + 3070/(-307)?
9108
Let m be 4/(4/9) + -6. Suppose -h - 38 = -v, 5*h - 4 = m*h. Let j(y) = -y**2 + 7*y. Calculate the least common multiple of v and j(5).
40
Suppose -14916 = -16*t - t - 840. Calculate the lowest common multiple of 345 and t.
4140
Let k = 1525/18 + 38771/126. Let d = 397 - k. Find the common denominator of d and -59/91.
91
What is the common denominator of 26/3355 and (80/(-22875))/(-9 - 550/(-60))?
16775
Let x be 1/(0 + 4/8). Suppose -x*i + 4*p = 0, 0 = 5*p + 8 - 13. Calculate the smallest common multiple of 160 and i.
160
Let n = 59 - 57. Suppose -9 = -y - x - 4, 0 = n*y + x - 11. Calculate the smallest common multiple of 2 and y.
6
Let t = 33836 + -33134. What is the lowest common multiple of t and 60?
7020
Let b(i) = i**3 - 5*i**2 - 2*i + 28. Let f(r) = -r**3 + r + 3. Let y be f(0). Calculate the smallest common multiple of b(4) and (2 - -9)*6/y.
44
Calculate the common denominator of 111/3938 and ((-3)/7 + (-71)/14)/((-15394)/(-129)).
7876
Suppose 6*j - 9*j - 2*y = 7, -3*j - 3*y - 3 = 0. What is the least common multiple of 30 and -5 + (-5 - j) + 35?
30
Suppose 2*b - 5*b = -207. Suppose 0 = -3*k - 15, -2*k = -2*g + b + 5. What is the least common multiple of 28 and g?
224
Suppose 7*f = 2*f + 200. Calculate the common denominator of 0 + (2 - (-118)/f) and (21/9 + 1)*(-78)/(-24).
60
Let t be 79*1 + (-9 - -8). Suppose d + 4*d + 3*b = -t, -b = 2*d + 31. What is the least common multiple of ((-32)/(-10))/((-2)/d) and 8?
24
Let m be -27*3*(-5)/45. Let x(p) = -4*p + 30. Let w be x(m). What is the lowest common multiple of 2 and 15/(-2)*4/w?
10
Let r = -1375 + -690. Calculate the smallest common multiple of 12 and 2/16 - (-14)/((-784)/r).
444
Let k = 127 - 111. Calculate the smallest common multiple of k/(-3)*(-135)/30 and 66.
264
Suppose 178 = -12*s + 10*s. Let f = -87 - s. What is the least common multiple of f and 80?
80
What is the common denominator of -77/150 and ((-4688)/(-2880) - -9) + 1 + -11?
900
Let y(q) = q**2 + 3*q + 4. Let l be y(4). Let d be (-912304)/456148 + (l/4)/4. Let p = d + -9693017/7298368. Find the common denominator of p and -83/14.
448
Let p(i) = 2*i**2 - 11*i + 5. Let u(t) = 16*t**2. Calculate the smallest common multiple of p(9) and u(-1).
272
Suppose -40 = -32*f + 28*f. Find the common denominator of ((70/16)/5)/(f/65) and 9*(-1)/(-16) + 1.
16
Suppose -5*y = 5*y - 10. Let s be (12/18*3/2)/y. What is the lowest common multiple of 16 - 13 - (s + -3) and 11?
55
What is the common denominator of ((-696)/64)/((14322/8)/11) and -27/248?
1736
Suppose -m + 410 = -4*u, 0 = m - 2*m - 4*u + 410. What is the common denominator of -26/21 and (-27)/189 - (m/84 - 1)?
42
Let q = 633601/15 - 42243. What is the common denominator of ((-4)/10)/((-144)/(-2260)) and q?
90
Suppose -5*b - 14 = -7*b - 5*y, 0 = 5*b - 5*y - 35. Suppose -b*f + 25 + 31 = 0. Suppose -50 + 32 = -2*v. Calculate the lowest common multiple of f and v.
72
Let m be 8/(((-56)/3266)/2). Let t = m - -926. Let p = 225638/111 + -6101/3. Find the common denominator of p and t.
259
Let g = -2 + 5. Suppose 4*r + 23 = -2*m + g*m, 4*r = -5*m - 53. What is the common denominator of 101/4 and 297/180*r/(-3)?
20
Let y = 220611 - 359826. Let j = 12529481/90 + y. Calculate the common denominator of -10/9 and j.
90
Suppose 0 = -789*l + 15910 + 88238. Suppose -o + 15 + 33 = 0. What is the least common multiple of l and o?
528
Let b(d) = -3*d**3 + 43*d**2 + 34*d - 19. Let g be b(15). What is the common denominator of (1/2)/(55/g) and 99/10?
110
Suppose -4*r - 3077 = -5*w, -5*r - 2268 - 181 = -4*w. Calculate the lowest common multiple of w and 144.
9936
Let a(u) = -25*u + 26 + 6 + 22 + u**2. Let h be a(25). Suppose 9 - h = -3*o. What is the least common multiple of o and 6?
30
Suppose -95*y + 1913 + 37890 = 4178. Calculate the lowest common multiple of y and 150.
750
Let t = 2905834766/7 + -351643673329/847. Let i = 44471 + t. What is the common denominator of -50/11 and i?
121
Let r = 4189 + -3991. Calculate the lowest common multiple of r and 11.
198
Let m(t) = 2*t**2 + 12*t + 2. Let o = -55 - -65. Suppose -38 - o = 6*r. What is the smallest common multiple of 18 and m(r)?
306
Let o = -381/16 + 95/4. Let d = -19255070 + 269738857/14. Let y = d - 11986. Calculate the common denominator of o and y.
112
Let u = 198406/9 - 97218229/4410. Calculate the common denominator of u and 23/490.
490
Suppose 5*o = 2*g - 21, g + o - 25 + 18 = 0. Suppose -107*v - 2448 = -125*v. What is the least common multiple of g and v?
136
Let h(t) be the second derivative of t**5/20 + 2*t**4/3 + 7*t**3/6 - 15*t**2/2 + 12*t. Let j be h(-7). Find the common denominator of 49/2 and (12/j)/(8/(-92)).
10
Suppose 0 = -u + 5*k - 55, 2*k + 86 = -2*u + 6*k. Let r = u + 41. Calculate the least common multiple of (-4 + 8)/(1/2) and r.
24
What is the smallest common multiple of ((-2)/(-1) - 0)*14 and (1/3)/(-1) - 2/12*-74?
84
Let u = 12551 - 12535. Let n = 74 + -43. Let t = n + -15. Calculate the lowest common multiple of t and u.
16
Suppose 310*k - 311*k = 4*b - 9, 3*b = 