 Find the common denominator of (-31)/(-27)*h/(-20) and ((300/(-112))/(-5) - 1) + 4.
252
Suppose -6*o + 6568 = 298. Suppose -p = 4*p - o. Calculate the common denominator of p/(-18) - (4/(-9))/(-2) and 83/22.
66
Let p = 81308823/14 - 5813254. Let j = p - -5485. Find the common denominator of j and -19/14.
14
Let y be -177 + 3/3 + -4. Let x = y - -181. Suppose 0 = -5*l + 2*c + 9 + 8, -l - 15 = -5*c. What is the least common multiple of x and l?
5
Let t = -4 - -13. Suppose -2*n = -2*a + 64, -n = 5*a - 74 - 50. Calculate the smallest common multiple of a and t.
234
Let u(j) = j - 1. Let v(s) be the second derivative of -29*s**5/20 - s**4/6 - s**3/2 - s**2 + 5*s. Calculate the lowest common multiple of v(-1) and u(5).
28
Let r = -450 - -452. Suppose 2*p - 16 - r = 0. What is the lowest common multiple of p and 36?
36
Let n be (-81)/(-3) - 12/((-16)/(-4)). Suppose 26*j - 11722 = n*j. Let u = -35017/6 + j. Calculate the common denominator of u and -4/3.
6
Let z(m) be the second derivative of m**3/6 - m. Let p(g) = g**3 - 6*g**2 + 7*g - 3. Let c be p(5). Calculate the lowest common multiple of z(c) and 10.
70
Let u(l) be the first derivative of -9*l**2/2 - l - 1. Let h = -196 + 206. What is the least common multiple of u(-1) and h?
40
Let y = 17248 - 690041/40. Calculate the common denominator of 131/24 and y.
120
Let v = 592702225059/187 + -3169455337. Let q = v - 75278. Find the common denominator of 5/119 and q.
1309
Let u(c) be the third derivative of c**5/60 - 3*c**4/8 - c**3 + 6*c**2. Let f be u(9). Calculate the common denominator of f/4*185/15 and -59/2.
2
Suppose -53993*d + 54003*d = 320. Suppose 74 = 3*l - 46. What is the lowest common multiple of d and l?
160
Let z = 2755061/1013344 - 1/31667. What is the common denominator of z and 73/528?
1056
Let z = 11352/7 + -1614. Calculate the common denominator of (4/(-18) - 143090/(-26199)) + -5 and z.
497
Let q = 127 - -285. Suppose 5*m - 79 = -4*k + 433, -4*k + q = 4*m. Calculate the smallest common multiple of 20 and m.
100
Let g(b) = 16*b**2 + b**3 - 23*b**2 - 2*b**3 + 10*b + 14. Let q be g(-8). What is the common denominator of (-828)/(-200) - q/10 - 3 and 103/12?
300
Let a = 2735/6 - 1294/3. What is the common denominator of (4 - 1468/368)*-82 and a?
46
Let c = 1088985 - 2188859803/2010. Calculate the common denominator of -19/30 and c.
2010
Suppose 0 = -5*b - 2*m + 8, 3*b + 2*m + 1 - 5 = 0. Let w be (279238/24*b)/3. Let i = -7760 + w. Find the common denominator of i and -113/18.
18
Suppose -v = -4*a - 36, 81 + 61 = 5*v - a. Suppose -5*m - 5*i + 432 = -v, -4*i = -16. What is the common denominator of 6/7 and 3234/m*(-2)/3?
14
Let f be 158/869 - (158/(-22))/(-1). What is the least common multiple of 58 and (-8)/14*f/2?
58
Suppose -3*h - 123 = -3*o, 5*h = 8*o - 7*o - 53. What is the least common multiple of o and 518?
9842
Let i be (-2 + 4)*6/4. Suppose -502*y + 486*y = -2256. What is the lowest common multiple of 8 and i/(-6) + (y/6 - -1)?
24
Find the common denominator of -23/540 and (-106)/140*-1*2/36.
3780
Let o = 7890 - 252521/32. Let i be 10/(-25) + 7962/880. Let z = i - 75/8. What is the common denominator of o and z?
352
Suppose 1518 = 4*p - 1490. Calculate the common denominator of -101/30 and ((-5)/3)/(p/(-104) + 9).
690
Let a = -169 + 145. What is the common denominator of (30/a + 2)/(7/12) and 37/4?
28
Let m(n) = -39*n + 118. Let h be m(4). What is the common denominator of -69/2 and h/(-38) - (61/(-8))/(-1)?
8
Suppose 60*s - 390 = -135*s. Let i(g) = -3*g - 7. Let n be i(-5). Let y(t) = t**3 - 8*t**2 + 10. Calculate the smallest common multiple of y(n) and s.
10
Let p = 1112/3 + -26885/72. Let y = p - -1067/72. Find the common denominator of 37/56 and y.
168
Let s be -2 + 5/((-2199600)/(-14182642)). Let y = 206/2115 + s. Let m = 318/13 - y. What is the common denominator of m and -8/3?
24
Let l = 4712 - 37789/8. Let c = -114 - -108. Find the common denominator of ((-116)/c)/1*9/(-4) and l.
8
Suppose -b - 1 + 5 = 0. Suppose 40 = b*m + 2*u, 2*m + 2*u = m + 13. What is the common denominator of 23/7 and 29/24 + m*6/18?
168
Suppose 10 = -41*v + 36*v. What is the lowest common multiple of 4 and v/(5 - 532/106)?
212
Let m = 3504 - 662245/189. Find the common denominator of 19/54 and m.
378
Let h = -2071 + 22821/11. Suppose 2*i + g = 7, 0 = 2*i + 3*g - 0 + 3. Calculate the common denominator of h and ((-224)/(-40))/(i/10).
33
Suppose 195*h - 712 = -4*s + 193*h, -4*s - 3*h + 708 = 0. What is the least common multiple of s and 300?
900
Let m = 20695091/702 + -29480. Calculate the common denominator of 163/2106 and m.
2106
Let h = -1/5542924306 + -27894223363362927/471148566010. Let r = 59204 + h. Find the common denominator of r and 37/17.
85
Let r(h) = -703*h**3 - 20*h**2 - 31*h + 10. Calculate the least common multiple of 648 and r(-2).
16848
Let o = 12/1189 + -28283/92742. Find the common denominator of -53/27 and o.
702
Suppose -5*v + 7316 = 2*g, 5*v = -g - 2*g + 10964. Let k be 1*-2 - (-68)/g*-178. Let z = k - -11/57. Calculate the common denominator of z and 43/10.
40
Let j = 596849/272835 - 524/235. Calculate the common denominator of j and -67/774.
2322
Suppose 4*k = 74 - 30. Let h be (-186)/(-5) - 2/10. Suppose 5*g - 8 = h. What is the lowest common multiple of g and k?
99
Let m(o) = -11*o + 887. Suppose 67*n = 62*n + 65. Calculate the lowest common multiple of m(80) and n.
91
Suppose -4*b = v - 466, 28*v - 30*v + 922 = -2*b. Calculate the least common multiple of v and 54.
4158
Let a(d) = 7*d - 107. Let r be a(14). Let q(c) = -14*c - 66. Calculate the lowest common multiple of 45 and q(r).
180
Let d = -201 + 234. Suppose 0 = -14*u + 79 + d. What is the least common multiple of u and 48?
48
Let y = -42/59 - -3851/354. What is the common denominator of 155/(-20) - -9 - (-9)/(-8) and y?
24
What is the common denominator of -1*(1 - -1)*(-4)/((-8112)/(-871)) and -35/4?
156
Let n = 28303 - 792577/28. Suppose -2*a = 5*m + 3865 + 1956, 3*a + 2324 = -2*m. Let d = m + 13933/12. Calculate the common denominator of n and d.
84
Let v = 7706 + -3120928/405. Calculate the common denominator of v and -137/150.
4050
Let s = 2947/2 + -12233001/8302. Let k = 33799/4151 - s. Calculate the common denominator of k and -99/10.
70
Let l = 16693 - 16683. Calculate the smallest common multiple of l and 1538.
7690
Suppose m - 6*m - b + 29 = 0, 0 = 4*m - 3*b - 8. Suppose m = 2*o + 13. Calculate the common denominator of 3/(-4)*(o - 170/225) and 4/3.
30
Suppose 20*w - w - 6960 = -10*w. Calculate the lowest common multiple of w and 60.
240
Suppose -2*i - 2*p + 94 = 4, -3*i + 3*p + 177 = 0. What is the least common multiple of 154 and i?
4004
What is the common denominator of -4 - 14/21*(-212)/224*6 and -7/106?
742
Let o = 4/1633 - -174635/39192. Find the common denominator of 95/246 and o.
984
Suppose 3*v + 16 = 4*v. Let n = -1028 - -1048. What is the smallest common multiple of v and n?
80
Calculate the lowest common multiple of 324 and -6*2/(-36) + 11656/24.
972
Suppose 3*t - g - 17 = 0, 6*t + g - 31 = 3*t. Calculate the least common multiple of t and 19080.
19080
Suppose 90 = -19*c + 14*c. Let x = c + 51. Suppose 140 = 3*u + 2*u - 5*z, -185 = -5*u - 4*z. Calculate the least common multiple of x and u.
33
Let q(r) = r**2 - 6*r - 82. Let v be q(-6). What is the smallest common multiple of 77 and 927/45 - 4/v?
231
Suppose 4*t = 4*x - 4, 2*t = -t + 12. Suppose 35 = x*d - 90. Suppose -54 + 59 = 5*o. Calculate the least common multiple of d and o.
25
Let h = -22049/45408 - -1/1376. Find the common denominator of h and (-12)/90 - 2308/(-360).
198
Suppose 15*a + 4256 = 31*a. Calculate the common denominator of (-1774)/84 + 76/a and 31/24.
24
Let t(d) = d**3 + 24*d**2 - 434*d + 90. Calculate the least common multiple of 702 and t(-36).
2106
Let r(s) = -s**2 - s + 50. Let f be r(-7). Suppose -7*p - f*p + 45 = 0. What is the least common multiple of ((-4)/3)/((-5)/90) and p?
24
Suppose 2*j = -249 - 339. Let d = j - -314. Let o = 10 - 4. What is the smallest common multiple of d and o?
60
Calculate the common denominator of 83/90 and (-2)/22 - 2584/(-314160).
6930
What is the common denominator of 9/(-12) - (-1675)/13500*-9 and 17/8343?
41715
Let n = 80 - 56. Calculate the lowest common multiple of n and (-158)/(