te the common denominator of b and -53/2594.
10376
Let a = 220 - 105. Suppose 23*m - 529 = a. Calculate the smallest common multiple of m and 6.
84
Let u(d) = d**2 - 3*d. Let v be u(6). Let w be (v/16)/((-6)/(-11944)). Let k = w - 2285. What is the common denominator of -41/4 and k?
4
Let v(j) = 2*j + 70. What is the smallest common multiple of 96 and v(-3)?
192
Let l = -11 + 17/6. Suppose -6995 = 5*z - 43675. Calculate the common denominator of (-2)/10 - z/420 and l.
6
Suppose 0 = -5*v - 4*n + 1854, 2 = -2*n + 4. Suppose r - 419 = -v. What is the lowest common multiple of r and 14?
98
What is the common denominator of 6/60*(-26)/9 and -19/560?
5040
Let x = -53 + 58. Suppose x*d + 10 = 50. What is the least common multiple of 4 and d?
8
Let d = -320741/1743720 + -11/6605. Calculate the common denominator of d and 145/858.
3432
Let s = 44316087/389 - 113923. Calculate the common denominator of 47/10 and s.
3890
Let v(q) = -17*q - 692. Calculate the lowest common multiple of 26 and v(-46).
1170
Let z = -51443/29744 + 2/5577. Find the common denominator of 91/22 - 730/219 and z.
528
Let i be 550/6 + (-3)/(-9). Let m = 120 - i. Find the common denominator of -83/10 and 4/m*-1 + (-1234)/(-504).
180
Suppose 6 + 13 = 2*i + 3*b, -2*i = 2*b - 14. Suppose -22*j + 35 = -21*j - 4*q, 0 = -j - 3*q. What is the smallest common multiple of j and i?
30
Let y = 1213/165 - 98/15. Find the common denominator of ((106 + -1)/(-3))/((-528)/2) and y.
264
Let g(n) = n**2 + 3*n - 3. Suppose 2*d - 5*a + 19 = 0, -2*d = -4*a + 6 + 10. Let r be g(d). Calculate the common denominator of ((-357)/14)/((-12)/r) and 73/8.
8
Suppose -5918*i = -5966*i + 5760. Calculate the least common multiple of i and 210.
840
Suppose 324 = 1377*s - 1373*s. What is the least common multiple of ((-24)/10)/(12/(-90)) and s?
162
Suppose -3*c - 129*t + 125*t = -101, 5*t + 40 = c. Calculate the common denominator of 115/12768 and c.
12768
Let w be (-29014)/10360 + (-1 - 3/(-4)). Let h = 382/185 + w. Find the common denominator of h and -59/63.
630
Suppose 0 = 45*f + 1714 - 2029. Calculate the smallest common multiple of f and 26868.
188076
Let w be (-206)/((15/(-1030))/((-6)/(-80))). Let v = w - 1060. Find the common denominator of 159/3*(-4)/(-20) and v.
10
Let k = 6874 + -151193/22. Suppose 156 = -5*a - 969. What is the common denominator of k and (a/1085)/((-6)/21)?
682
Suppose 43330 = -34*p + 39*p + 5*x, -2*x = -5*p + 43386. Calculate the least common multiple of 4 and p.
17348
Suppose 227*x - 226*x = -8369. Let s = 83767/10 + x. What is the common denominator of s and 11/7?
70
Let n(i) = -4*i**2 + 3*i - 3. Let w(z) = 8 - 5*z - 5*z - 54*z**2 + 65*z**2. Let c(t) = -7*n(t) - 2*w(t). What is the smallest common multiple of 3 and c(2)?
27
Suppose -4*l = -3*t - 859, 8*l - 10*l = 2*t - 426. Calculate the common denominator of (6/8)/(33/l) and 4/(-2) + 190/36.
198
Let n = 251 + 155. What is the common denominator of n/(-24) + (-140)/(-30) + -5 and (-454)/(-24) + (-4)/(-12)?
4
Let q(a) = -a**3 - 16*a**2 - 18*a - 42. Let u be 0/(-2) + 1 + 5 + -21. What is the smallest common multiple of q(u) and 8?
24
Let p(q) = -721*q**3 + q**2. Let t be p(1). Let v be -2 - (211/5061)/(15/t). Let g = -50632/18557 + v. What is the common denominator of -2/11 and g?
11
Let i(b) = 26*b**2 + 1028*b + 90. What is the smallest common multiple of 36 and i(-40)?
3420
Suppose h + 0 = 2. Suppose h*x - x = 7. Suppose 14*l - 59 = 11. Calculate the smallest common multiple of l and x.
35
Suppose -2*s = 3 - 263. Let b(p) = -14*p + 184. Let n be b(21). Let h = n + s. Calculate the smallest common multiple of 10 and h.
20
Suppose 9*z - 671976 = -144*z. Calculate the smallest common multiple of 2745 and z.
21960
Suppose 3*t + 1755 = -0*t. Let b = 111897/20824 - -4/2603. Calculate the common denominator of (t/6 + -3)/(-6) and b.
8
Let r = 4205 + -2327. Calculate the least common multiple of r and 8.
7512
Find the common denominator of 11 + (-15831)/(-47412)*-33 and -81/38.
33364
Let r = 53458 + -53456. Let a(p) = -p. Let d(z) = -z**2 - 5*z + 11. Let h(o) = -5*a(o) + d(o). Calculate the least common multiple of h(0) and r.
22
Suppose 142 - 655 = -3*w. What is the least common multiple of 741 and w?
2223
Suppose -52499 = -4*u - 17*u + 84967. Calculate the smallest common multiple of u and 20.
65460
Let b(d) be the second derivative of d**4/4 + 7*d**3/6 - 3*d**2 + 65*d. Calculate the smallest common multiple of b(4) and 7.
70
Let g = -24029134/9 - -382313191/144. Let y = g + 14945. What is the common denominator of ((-4 - 0)*(-42)/56)/(-8) and y?
16
What is the least common multiple of 3*6/63*14 + 5 + 215 and 384?
2688
Suppose -4*d + 2614 = 5*b - 5334, 3*b - d - 4779 = 0. What is the least common multiple of 16 and b?
3184
Suppose -p + 2*p + 7 = 2*i, 0 = -4*i + 3*p + 15. Let w(h) = -h**2 + h - 6. Let l be w(i). Calculate the smallest common multiple of 6 and (-3)/l*4*2.
6
Let a(t) = 2*t - 46. Let n be a(22). Let i(f) = 2*f**2 - 4*f - 10. Calculate the least common multiple of i(n) and 4.
12
Suppose -275 = -23*z - 2*z. Calculate the lowest common multiple of 944 and z.
10384
Let y be 9/((-6)/15 - (-42)/60). Calculate the least common multiple of (2 - y)*(-70)/40 and 70.
490
Find the common denominator of 45/671 and (-20)/290 + (-51857)/(-24882).
4026
Let n(r) = -28*r**2 + 5*r + 72. Let q(l) = 2*l**2 - l + 2. Calculate the smallest common multiple of q(2) and n(0).
72
Let m = -1257 - -40227/32. Let c(q) = q**2 - 27*q + 68. Let a be c(24). Calculate the common denominator of a*(-708)/(-576)*-3*1 and m.
32
Suppose -9240 = 63*i - 75*i. What is the smallest common multiple of 25 and i?
3850
Suppose -9*k - 3*k + 3528 = 30*k. What is the least common multiple of 567 and k?
2268
Suppose 2*a - 513 = 2*z + 817, -3*z = -5*a + 3327. What is the lowest common multiple of a and 27?
1998
Suppose 0 = -w + 15 + 184. Let c = w + -703. Calculate the common denominator of (21/c)/(6/(-904)) and 87/16.
144
Find the common denominator of (-1274)/(-10530) + (-27)/90 and 139/438.
11826
Suppose -8*m + 3*m = -50. Let j(n) = n**3 + 17*n**2 + 70*n + 3. Let v be (-4)/(-6)*(0 + -3 - 12). Calculate the smallest common multiple of j(v) and m.
30
Let r = -604 + 607. Suppose -93 = -d - 0*d - 5*v, -2*v = -3*d + 279. Calculate the smallest common multiple of d and r.
93
Let l(y) = 757*y + 5129. What is the smallest common multiple of l(-5) and 210?
6720
Suppose 0 = 21*c - 23*c - 12. Find the common denominator of 549/c*12/(-108) and -16/3.
6
Let y(i) = i**2 + 13*i + 46. Let o be y(-7). Suppose o*j + 12 = 0, -w + 117 = 3*w + 5*j. Let c = -7 + 13. What is the lowest common multiple of w and c?
66
Let h = -11 - -7. Find the common denominator of ((-2)/33)/(h/(-39)) and 111*(-2340)/(-23088) + (0 + 2)*5.
44
Let f = -537 + 557. Let t(u) = u**3 - 6*u**2 + 2*u + 8. Calculate the lowest common multiple of (-13 + f/2)/(6/(-80)) and t(6).
40
Let n(i) = -9*i + 205 - 5*i + i + 9*i. What is the lowest common multiple of n(43) and 96?
1056
Let a = 90776603/660 - 137540. Calculate the common denominator of a and -86/2475.
9900
Suppose 4*d = 3*j + 77, -25 - 14 = -2*d + j. Let r(x) = x**2 - 2*x - 4. Let s be 6/(-4) - 12/24. Calculate the smallest common multiple of r(s) and d.
20
Find the common denominator of (1/(-5))/((-59)/(90034/(-1036))) and 103/1332.
6660
Let d = 19248 + -19236. What is the least common multiple of d and 496?
1488
Suppose -5*h + 16 = -3*r, 3*r + 10 = -0*r + 2*h. Calculate the common denominator of (r/(-3))/(110/6) and 39/5.
55
Let c = 63 - 60. Suppose 0 = -o + 4, -b - c*o = -50. What is the smallest common multiple of b and (-11 + 5)*(-1)/3?
38
Let z(a) = -64*a - 3452. Calculate the smallest common multiple of z(-56) and 3276.
36036
Let k(j) = j**2 - 4*j - 6. Let z(y) be the second derivative of 8*y**3/3 + 71*y**2 + 410*y. Calculate the smallest common multiple of k(-4) and z(-8).
182
Let u be 138/(-126) + 4/42. Find the common denominator of (-68)/10 + 2/5 and u/((-238)/174 - (-104)/78).
5
Let p = 137 + -231. Find the common denominator of -75/76 and (-48)/64 + p/88.
836
Let i(k) = k**3 - 8*k**2 + 2*k + 4. Let j(q) = -q**3 - q**2. Let f be j(-2). Let m = 4 + f. What is the least common multiple of i(m) and 32?
160
Suppose -2*l = -7*l + l. Let s be 320*((0 - l/4) + -1