0 = -4*q + r + 69. Let j = s + q. Calculate the lowest common multiple of 96 and j.
1056
What is the smallest common multiple of 27220 and 8 - (-2002)/(-247) - ((-1340)/95 + 4)?
27220
Let f = -7345/21 - -2113/6. Find the common denominator of f and 6 + 172/(-20) + 12.
210
Let q be (6953355/120)/(17/(-2) + 1). Let x = q + 7721. Calculate the common denominator of x and -69/20.
20
What is the common denominator of ((-161)/(-45))/((-46)/(-69)) and -51/110?
330
Let t = 2272889 + -2975212102/1309. Let c = t + 4/119. Calculate the common denominator of c and 13/355.
3905
Let s = 22/67 + 1409/402. What is the common denominator of (-283)/(-63) + (8/18)/2 and s?
42
Let q = -10172753/872 - -11666. Let x = 112661951613/49314100024 - 92/8078981. Let y = q - x. What is the common denominator of 13/16 and y?
112
Let i be (-4)/(-6) - (380/6)/5. Let w(t) = t**2 + 13*t + 18. Let a be w(i). Calculate the least common multiple of 33 and (60/(-35))/((a/2)/(-42)).
264
Let x = 1041/11 - 167502/1771. Calculate the common denominator of 13/791 and x.
18193
Let y(x) = x + 4. Suppose -4*l - 10 = -4*i - 230, l - 3*i - 45 = 0. What is the lowest common multiple of l and y(2)?
60
Let w = -147 + 150. Suppose 0 = -w*h + 5*d + 33, -3*h - 4*d + d + 57 = 0. Calculate the lowest common multiple of h and 20.
80
Let p(u) = -4*u**2 - 2 - u**2 - u**3 - u - 2*u + 4. Suppose n - 23 = -7*d, -5*n = 3*d - 18 - 1. What is the least common multiple of p(-5) and n?
34
Let m(p) = p**3 - 24*p**2 - 14*p + 2. Calculate the lowest common multiple of m(26) and 12.
1980
Calculate the smallest common multiple of 144 and ((-129)/(-2))/((-548)/12330 + (-218)/(-2880)).
6192
Suppose 0*n + 15632 = 8*n. Let a = -7777/4 + n. Calculate the common denominator of (-18039)/(-1386) - (-6)/(-33) and a.
12
Let h = -10803 - -10833. What is the smallest common multiple of h and 324?
1620
Suppose -2*a + 206 = p, -516 = -5*a - 2*p - 2. Suppose -2*b - 2 + 12 = 0. Calculate the lowest common multiple of a and b.
510
Let y = 5/17 + -2657/306. Let z be 3 + 3 + 2/(8/(-23716)). Let t = z - -260569/44. Find the common denominator of y and t.
396
Suppose 2*u + 2*u + 144 = 0. Calculate the common denominator of -35/29 and 5 + 20/u*7/(-35).
261
Let r(l) = -9*l**3 - l**2 - 4*l + 4. Let s be (-4 - -4 - 0) + 1 + 0. Let c be r(s). Calculate the common denominator of -64/9 and 55/c*1/(-5) + 3.
90
Let b = -149651/70 + 10654/5. What is the common denominator of b and (368/(-14))/(5728/(-716))?
14
Let w = -2794 - -2890. What is the lowest common multiple of 192 and w?
192
Suppose -6*z = -11*z + 240. Let v = 52 - z. Suppose 5*t - 21 = -3*q, -v*q + 2 = -0*q - 2*t. Calculate the smallest common multiple of 4 and q.
4
Let r = 1957 - 1657. Calculate the smallest common multiple of r and 150.
300
Let h = -275 - -285. Let v(l) = -10*l + 108. Calculate the least common multiple of 28 and v(h).
56
Let s(x) = 5*x**3 + x**2 + 2*x - 2. Let r be s(-3). Let p = 266 + r. Let k(w) = w**3 + 8*w**2 + 14*w - 1. Calculate the lowest common multiple of k(-5) and p.
132
Let t = 16 - 23. Let k(m) = 3*m + 96. Calculate the least common multiple of 15 and k(t).
75
Let h(u) = -u**2 + 8*u - 28. Let o be h(4). Let p(w) = 10*w + 130. What is the smallest common multiple of p(o) and 115?
230
Suppose 9*j = 10*j + 1393. Let d = 73 + j. Let l = d + 14555/11. Calculate the common denominator of l and 29/3.
33
Let u = 53 - 50. Suppose 0 = 2*f + 8*p - u*p - 10, 3*f - 32 = p. What is the least common multiple of (-11)/(1*(-3 + 2)) and f?
110
Suppose 7 - 103 = 3*d. Let b = 29 - 9. What is the smallest common multiple of b and (-30)/135 - 12/27*d?
140
Let x = 1/1411 + -18355/16932. Let q = 9177 + -109997/12. Calculate the common denominator of x and q.
12
Let z = 3070222/9 + -338061. Let s = 2858 - 5928. Let l = s + z. Calculate the common denominator of -37/3 and l.
9
Let m = 6848529/2110 - 8830/211. Let a = m - 3200. What is the common denominator of -19/10 and a?
10
Let w(n) = -n**2 + 22*n + 56. Let p be w(24). Find the common denominator of -9*(-2)/(-6)*(-18)/p and 74/135.
540
Let i = 3325/3 - 1093. Calculate the common denominator of i and (-27)/9*12/110.
165
Let g(r) be the third derivative of r**6/24 + r**5/60 - r**4/8 + r**3/3 - 72*r**2. What is the least common multiple of 50 and g(1)?
50
Let p be 1/((-5)/2) + 660/25. What is the common denominator of (p/(-689))/((-2)/23) and -67/3?
159
Let x = 27956527/1092 + -76804/3. Find the common denominator of x and -55/36.
3276
Suppose 4*p + 1 = 4*j + 9, -2*p - 3 = 5*j. Calculate the common denominator of ((-58)/40)/(2/10*-3) and (-2)/(p/((-158)/32)).
24
Let n = 381617 + -381614. Calculate the least common multiple of 2/(-4) - 814/(-4) and n.
609
Let r = -2217 + 2223. Calculate the lowest common multiple of r and 908.
2724
Let q = 139 + -214. Calculate the least common multiple of 5*(-295)/q*3 and 1.
59
Let r = -3845887385139/5380 + 714848953. Let p = 6/1345 - r. Calculate the common denominator of -29/32 and p.
160
Suppose -3*i - 5*k + 50 = 3, 5*i + 4*k = 61. Suppose -7*d = i*d - 96. What is the least common multiple of d and 21?
42
Suppose 13*r + 2*h = 12*r + 299, 3*h + 21 = 0. What is the lowest common multiple of r and 626?
626
Suppose 33*h - 580 - 875 = -267. Suppose 3*w + 129 = 4*r, 0*r = -r - 4*w + 18. What is the lowest common multiple of r and h?
180
Suppose 0 = -3*h + 5*k - 2*k - 27, -h + 7 = 3*k. What is the common denominator of -6*(100/22 + h + 1) and 117/10?
110
Let k(r) = -3*r**2 + 6*r - 10. Let f be k(1). Let m(z) = z**3 + 9*z**2 + 13*z + 13. What is the lowest common multiple of 110 and m(f)?
220
Suppose -3*l - 34965 = 2*l. Let y = -3987 + l. Let f = 197753/18 + y. Calculate the common denominator of f and 71/3.
18
Let l be -4 + 23/3 - (-2)/(-3). Suppose l = 3*i, k + 4*i - 83 = 3*i. Let m = 94 - k. What is the least common multiple of 36 and m?
36
Suppose 3*n - 2*n = -62. Let x = n - -130. Calculate the smallest common multiple of x and 32.
544
Let u = -7497225/8 + 934488. Let d = u + 2672. Find the common denominator of 19/36 and d.
72
Let n(m) = m**3 - 11*m**2 + 22*m + 18. Let p be n(8). Find the common denominator of 13/51 and (-18)/4*-13*p/30.
510
Let n = 719 + -694. Suppose -n*q + 294 + 706 = 0. Calculate the smallest common multiple of 65 and q.
520
Let p(x) = -2*x**3 + 4*x - 4. Let f be p(-2). Suppose f*s - s - 153 = -3*a, -a - 5*s + 47 = 0. What is the smallest common multiple of 72 and a?
936
Let d = 22 - 20. Let a be d + 1468 + -3 + 0. Let f = -4472/3 + a. Calculate the common denominator of f and -2.
3
Suppose 8*p + 419 = 3. Let r = p + 50. Calculate the least common multiple of 1 and -2*(0 + (-5 - r)).
6
Let f = -511990 + 563189047/1100. Find the common denominator of 31/150 and f.
3300
Calculate the lowest common multiple of 490 and (10563/(-28))/((-15)/20) - 13.
490
Suppose 64*j = 66*j - 42. Let x(i) = j - 6 - 11 - 7 + 17*i. Calculate the lowest common multiple of 22 and x(5).
902
Let h(z) be the third derivative of -z**4/24 + 23*z**3/3 + 3*z**2. Suppose 0 + 16 = 2*v. Calculate the smallest common multiple of h(30) and v.
16
Let w be 227/((6/9)/(10/(-15))). Let o = -102 - w. Calculate the smallest common multiple of 55 and o.
1375
What is the least common multiple of ((-1335)/60 + 2)*112/(-3) and 1404?
9828
Let v = -40179/28 + 1434. Let o = 1/20993 - -5141/2999. Find the common denominator of o and v.
28
Suppose -8 = 4*n - 12. Let f be (-536)/6 - 2/3. What is the lowest common multiple of (-1*5 + n)/(36/f) and 20?
20
Let q(x) = -4*x + 2. Suppose 0 = 6*b - 8*b. Let i be q(b). Suppose -3*g + 6 + i = -2*c, -4*c = -3*g + 4. What is the smallest common multiple of c and 62?
62
Let l = 20771/3 - 7056. Let v = -3739/30 - l. Find the common denominator of v and 11/592.
2960
Calculate the common denominator of (16/12*(-4)/24)/(40/(-87)) and (0 - (-102)/(-40))*1.
60
Suppose 55*a - 57*a + 16 = 0. What is the common denominator of (-423)/144 - 1/1 and 0 - ((-34)/(-28) - a/14)?
112
Calculate the common denominator of -121/6 and 469/2160 - (-84)/1890.
432
Suppose 2*b + 41 = -m, -3*m - 61 = -4*b + 12. Calculate the least common multiple of (2 + (2 - 3))/(m/(-1116)) and 14.
252
Suppose 3*h = 6*h - 316377. Let l = 412239227/3909 - h. Let s = l + 186337/7818. Calculate the common denominator of -31/68 