+ 8*j**2 + 10*j - 24. Let b be u(-8). Let w = b - -113. What is the lowest common multiple of 78 and w?
234
Suppose -3*l + 1 + 19 = k, -k = -l. Suppose h = -m - 11, -m = l*h - h + 32. Find the common denominator of (-2)/h - 102/2268 and 113/12.
108
Suppose 0 = -4*w - 13 + 1. Calculate the common denominator of ((-10 - -27) + -16)/((-1)/13*1) and w/(-11)*(-16)/(-1).
11
Let a = 6412 - 6421. Let y(s) = 7*s**2 + 17*s + 14. Let k(o) = 6*o**2 + 16*o + 15. Let h(f) = 6*k(f) - 5*y(f). What is the least common multiple of 4 and h(a)?
4
Suppose -29 = -7*i + 69. Let y = i - 0. Suppose 18*j - 84 = y*j. What is the lowest common multiple of 15 and j?
105
Suppose 0 = 25*p - 27*p + 2*k + 12780, -12786 = -2*p + 3*k. Calculate the lowest common multiple of p and 7.
6384
Let o = 2150251/275 + -7819. What is the common denominator of -36/77 and o?
1925
Let t be (8/10)/(-2)*(-3 - -13). Let i(a) = 5*a - 1. Let h(j) = 6*j - 1. Let u(q) = t*h(q) + 3*i(q). Calculate the smallest common multiple of 7 and u(-1).
70
Let i = 1021 + -929. Calculate the lowest common multiple of i and 276.
276
Let m(t) = -11*t - 317. Calculate the least common multiple of 27 and m(-31).
216
Calculate the common denominator of (201/608)/((-18)/336*42) and -41/21.
3192
Suppose 30 + 15 = u. Let o = 193 + -178. What is the lowest common multiple of o and u?
45
Let i = -75458/11 + 6861. Find the common denominator of i and 24/427.
4697
Suppose -6*f = -1955 + 1943. What is the lowest common multiple of f and 144?
144
Let t = 7138 + -7102. What is the least common multiple of 33 and t?
396
Suppose 0 = 9*t - 17 - 28. Suppose 3*y + 1 - 5 = 5*a, -6 = 2*y + a. Let s = 9 - y. Calculate the lowest common multiple of t and s.
55
Calculate the common denominator of 20/579 and -4 - (-2 + ((-79830)/9540)/((-18)/(-4))).
92061
Let r = -893 + 904. Find the common denominator of 115/14 and -1*(-1)/r + 34860/(-13200).
140
What is the common denominator of (-4)/14 + (-904)/(-126) and (-72)/(-40)*((-11)/(55/25))/(-12)?
36
Let t = 5557/9 - 610. Calculate the common denominator of t and -2/347.
3123
Let h = 4 + 4. Calculate the least common multiple of -1 + 18 + (96 - 107) and h.
24
Let t = 6683 - 6681. Calculate the lowest common multiple of 2304 and t.
2304
Let w = 3043 - 3027. Calculate the smallest common multiple of w and 32112.
32112
Calculate the lowest common multiple of 203 and -6 - ((-11)/(-2))/((-3)/30).
1421
Suppose 2*y + 3*c - 27 = 0, -41*y = -42*y + 4*c - 3. Calculate the common denominator of 50/663 and y.
663
Let v be (168/10)/(3/10). Let h be 203/((2/v)/(-1)). Let k = 68095/12 + h. What is the common denominator of -1/24 and k?
24
Let j be 4/(-14) - (-2)/224. Let b = j + 9/16. What is the common denominator of 20/(-25) - (-8064)/980 and b?
7
Let b(g) = -72*g + 1922. What is the least common multiple of 3 and b(26)?
150
Let o(w) = -5*w**2 - 358*w - 1884. Calculate the least common multiple of o(-65) and 696.
2088
Suppose -130*d + 51870 + 96615 = -30915. Calculate the least common multiple of 621 and d.
12420
Let k be 3/(-5) + 74/(-10). Let y be (12/k)/((-2)/(-4)). What is the lowest common multiple of 34 and 2/y - 40/(-6)?
102
Calculate the smallest common multiple of (-32)/24*(-4 + 10/(-5)) and 2838.
11352
Find the common denominator of -161/1020 and ((-988)/6720 + (-5)/(-35))*(-3540)/90.
6120
Suppose 0 = -248*d + 249*d - 6. Calculate the least common multiple of d and 8/(-280)*-7 - 778/(-10).
78
Suppose 4*x - 8 = 0, 24 = 2*u - 2*x + 4*x. Suppose u*m - 9 = 81. Calculate the smallest common multiple of m and 28.
252
Calculate the common denominator of -33*(-415)/4640 - (-9 + 24 - 12) and -83/3712.
3712
Let x = 15952/171 + -1650/19. Find the common denominator of (-118)/(-120) - (2 - 0) and x.
180
Suppose -y + 4 = -3*y, 31 = s - 5*y. Suppose -27 = -l + 4*m, -3*l = -4*m + 10 - 51. Calculate the lowest common multiple of ((-18)/(-10))/(s/70) and l.
42
Let y = 122894443/2334 + -52654. What is the common denominator of 1/2334 and y?
2334
What is the common denominator of 17/68*560/(-78) and -73/24?
312
Let m(c) = -10*c + 1. Let n be m(-2). Suppose 5*b - n = 4*z, -2*b + 10 = -6*z + 4*z. Calculate the lowest common multiple of ((-5)/(-5) + -4)*b/(-1) and 8.
24
Suppose 8 = 2*j, v + 0 = -5*j + 25. Suppose 0 = v*w + 20 - 30. Calculate the smallest common multiple of (-1 - (-2)/(-2))*-4 and w.
8
Let r = 70 - 78. Let v be (2 + r)*-3*(-169066)/564. Let s = v + 5396. Find the common denominator of s and 12/11.
517
Suppose 0 = 12*o + 285 - 57. Suppose -100 - 24 = -4*p. Let t = p + o. Calculate the smallest common multiple of 32 and t.
96
What is the lowest common multiple of -75*((-35)/30)/(3/6) and 100?
700
Let f = -195 - -641/3. Suppose 5*z - 5*k = -20, 2*k = -z + 7*k - 4. Find the common denominator of z - (-5)/(120/(-116)) and f.
6
Let u = -106423 - -4682955/44. Let d = u + -105/11. Let z = 111907/25173 + -3/2797. What is the common denominator of d and z?
36
Suppose -t - 4*p = t - 898, 0 = 4*t + 4*p - 1800. What is the smallest common multiple of -2*(110/33 + (-2)/(-12))/(-1) and t?
3157
Suppose 4*y = 9*u + 22703, -5*y + 8*u + 28471 = 7*u. Calculate the least common multiple of y and 40.
28480
Let h(o) = -o**2 - 11*o + 7. Let l = 115 - 126. What is the lowest common multiple of 36 and h(l)?
252
Calculate the common denominator of 57/10 and ((-2)/11 - 735124/(-157872)) + 8/(-2).
1380
Suppose 4*u = 9*u - o - 70, -5*o - 12 = u. Let i = u - 13. Suppose i = -5*h + 4*w - 15, 19 = 2*h + 5*w - 8. What is the least common multiple of h and 5?
5
Let f = 156 + -59. Let w = f - 62. Calculate the smallest common multiple of w and 50.
350
Let g = -383225 - -396637936/1035. What is the common denominator of g and -119/920?
8280
Let i = -14 + 14. What is the smallest common multiple of i + (-12)/54 - (-368)/36 and 36?
180
What is the smallest common multiple of 393 and 18396/105 - 1 - (-2)/(-10)?
22794
Let i = 9424 + -9172. Calculate the smallest common multiple of i and 840.
2520
Let d be 35*(-4)/(-12)*-3. Let x = 51 + d. Suppose 0*f = f - 3*s - 16, f - 2*s = x. What is the smallest common multiple of 26 and f?
208
Let k = 1 - 1. Let m(x) = -x**2 + 15*x - 32. Let t be m(7). Calculate the common denominator of 23/6 and (-10)/(k - t/(-14)).
6
Let c = 13 - -7. Let r be 4/(-6) - (-1)/((-30)/160). Let f(s) = -19*s - 46. Calculate the least common multiple of c and f(r).
340
Let x = -16834 + 17338. What is the least common multiple of x and 756?
1512
Let w(i) = -i**2 + 5*i + 2. Let t be w(5). Suppose -m - m + t = 0. What is the common denominator of -11/10 and m + (4 - 180/8)?
10
Let q = -283 - -282. Let l = 3812/11 - 346. What is the common denominator of l and 20/130*q/2*-6?
143
Let x = 3 - -2. What is the lowest common multiple of ((-200)/(-8))/x*(-32)/(-5) and 24?
96
Let j(f) = -f**3 + 3*f - 12. Let x(o) = 3*o**2 + 46*o + 12. Let k be x(-15). Calculate the lowest common multiple of j(k) and 14.
42
Let l(b) = b**3 + 104*b**2 - 1395*b - 340. Calculate the smallest common multiple of 2707 and l(-116).
21656
Let i be (186/10*(11 + -12))/((-41)/(-205)). Let f = 39437/4 - 9782. Let j = i + f. What is the common denominator of 58/63 and j?
252
Let x(i) = -i**3 + 7*i**2 + i - 3. Let v be x(7). Let p be v*2/12 + (-13320)/54. Find the common denominator of 41/10 and ((-4)/(-24))/((-2)/p).
10
Let y = -7/15602 + -327607/78010. Suppose 4*p - p + 12 = 0. Find the common denominator of y and 1/(-6)*249/p.
40
Let x = 36433/4572 - 250/1143. Find the common denominator of x and (-2)/8 - 121/(-156).
156
Let w = 256 + -238. Suppose 424*d - 437*d + 1248 = 0. Calculate the lowest common multiple of d and w.
288
Let n(c) = 12*c**2 - 371*c + 1. What is the least common multiple of n(31) and 1920?
1920
Find the common denominator of -125/616 and (536/336)/(-1) - (-6)/(-21).
1848
What is the common denominator of (-3 - (-378)/125)/(98/(-9450)*-10) and 123/70?
350
Suppose 12 = 4*k, 2*u - 162 = k + 57. Let m = u + -107. Calculate the least common multiple of 16 and m.
16
Let a(g) = -g**3 - 39 + 69 - 12*g**2 - 37. Let y be a(-12). What is the common denominator of 31 and y/(-21)*(-73)/5?
15
Let w = 550 + -185. What is the common denominator of -3 - (-1 - w/30) and (2 - (-89)/(-2)) + 2?
6
Let f(d) be the first derivative of -d**4/4 + 7*d**3/3 - 13*d*