*3 + 9*n**2 - 3*n - 20. Let v be s(-9). Let m(h) = 4*h - 24. Calculate the lowest common multiple of m(v) and 4/(-10) - 312/(-30).
20
Suppose -3 = 7*t + 11. Calculate the common denominator of t/(-11) + 3796/660 and 1 + -2 + (-64)/132.
165
Suppose 4*y + 2 = 2*v + 18, 2 = -y - v. Let r(h) = h**2 - 885*h + 10632. What is the least common multiple of r(12) and y?
156
Find the common denominator of 103/28 and (-16)/(-14) - 1 - (-8)/((-12320)/(-1606)).
140
Let v be (-3031)/10 - ((-610)/100 - -6). Find the common denominator of -59/96 and v/(-180) + (-5)/10.
480
Let t = 8279 + -2419. Calculate the lowest common multiple of t and 22.
64460
Let q = -4872/25 - -539842/2775. What is the common denominator of (124/(-10))/(4/75*30) and q?
444
Let j = 147 + -86. Let t = j + -23. Suppose a + t - 47 = 0. What is the lowest common multiple of a and 15?
45
Find the common denominator of -35/3 and (-2354)/234 + -42 + 52.
117
Let v(h) = -h**3 + 5*h**2 - 4*h - 2. Let k be v(3). Suppose 5*b - 5 = 0, 0*b + 534 = k*d - 2*b. What is the least common multiple of d and 10?
670
Suppose 9941 = 13*f + 1985. Suppose -32*m + 83*m = f. Calculate the lowest common multiple of 16 and m.
48
Let y = -42/79 - 849/632. Let p = -213/40 + y. What is the common denominator of p and 49?
5
Suppose 0 = -5*b - 4*o + 14 + 59, 0 = -8*b + 5*o + 37. Suppose 0*y + 42 = y. Calculate the smallest common multiple of b and (1/(-2) - -1)*y.
63
Let m = -5991/2 - -2945. Calculate the common denominator of -5/1932 and m.
1932
Find the common denominator of 173/210 and (183/6 + -4)*(11 - (-9306)/(-847)).
2310
Let j be (-10)/(-2675)*(-10)/478. Let q = 894827/2915322 - j. What is the common denominator of q and -31/6?
114
Calculate the smallest common multiple of ((2 - -16)*(-110)/(-3))/(214/321) and 231.
6930
What is the least common multiple of (5/10)/((-2)/(-15356) - (-1 + 1)) and 1?
3839
Let k = 2304 - 4716. Calculate the lowest common multiple of 7 and (-4)/34 - k/1139.
14
Let n = 144 + 40. Suppose n = -6*s - 2822. Let d = 1481/3 + s. Calculate the common denominator of d and 50/21.
21
Let m = 235/19 - 3669/418. Let y = 186951/132308 - -740/3007. Calculate the common denominator of y and m.
44
Suppose -3*b - 4*h + h = -117, -5*b - 2*h + 195 = 0. Let a(r) = -r**2 + 29*r - 199. Calculate the lowest common multiple of a(17) and b.
195
Let z be (75/(-9))/(91/(-546)). Let r(u) = -11*u + 6. Let h be r(5). Let i = z + h. What is the lowest common multiple of 5 and i?
5
Let x = 25 + -35. Let c be ((-165)/(-22))/((-3)/x). Suppose 0 = -y - 7 + c. Calculate the lowest common multiple of 20 and y.
180
Let j be 90*1*7/(-14). Calculate the common denominator of ((-198)/28)/(620/434) and 10/j + (-424)/(-126).
140
Let m = 5 - 5. Suppose -3*d + 3*p + 39 = 0, -3*d - 4*p + 51 + 9 = m. Let u(f) = 4*f - 32. What is the smallest common multiple of 4 and u(d)?
32
Suppose -88 = -11*u - 11. Suppose -4*v + u*v + 69 = 0. What is the lowest common multiple of 66 and -3*(3 - v/(-3))?
462
Suppose -j - 112 = 3*j. Find the common denominator of (-64)/(-30)*(4/20 - 3/6) and j.
25
Suppose 2*l = t, 6*t = 2*t + 16. Let q(a) = a**3 - 3*a**2 - 3*a. Let r be q(l). What is the common denominator of -89/4 and ((-2)/r)/((-1)/(-3))?
20
Suppose 4*y - 5*t = 534, -3*t + 219 + 222 = 3*y. What is the smallest common multiple of y and 72?
3384
Suppose -3*x + 3*d = -6843, 2*d = 4*x - 3*x - 2285. What is the smallest common multiple of 2277 and x?
2277
Let t = -18 + 53. Calculate the common denominator of -4 - ((-676)/(-24))/(-1) and t/(-112)*(654/(-45) - 0).
24
Let m(b) = b**2 - 7*b + 10. Let s = -211 - -261. Suppose 5*y + 5*t - 1 - 4 = 0, -5*y + 4*t = -s. Calculate the smallest common multiple of m(7) and y.
30
Let o = 19/842 - -58291/10104. What is the common denominator of -71/30 and o?
120
Let c(a) = -a**2 + 5*a + 13. Let q be c(6). Find the common denominator of 115/18 and q/(-14) - 57/(-16).
144
Let r be -8 + ((-903)/35)/(-3). Let h = r + 79/60. Find the common denominator of 29/21 and h.
84
Let h = 11079 + -465361/42. Find the common denominator of h and (-6 - -4) + 332/36 + -4.
126
Let y = -10615/1596 - -1043/171. Calculate the common denominator of (-77)/(-6) + 2/(-6) and y.
252
Let c = -227 + 319. What is the common denominator of -29/5 and (-188)/c*10/50?
115
Let x be (-185145)/54 - 4/18 - -2. Let m = x - -3408. Calculate the common denominator of -133/60 and m.
60
Suppose 0 = 5*x + 39*f - 42*f - 1130, 3*x = -2*f + 678. What is the lowest common multiple of x and 791?
1582
Let t(f) = f**3 + 7*f**2 - 8*f + 1. Let c be t(-8). What is the least common multiple of (-11 - (-8 + c))*110/(-8) and 5?
55
Suppose -2*y = 2*k - 796, 4*y + k - 1834 = -230. Suppose 0 = -5*v + 447 - y. What is the least common multiple of v and 14?
126
Let c = -402 + 401. What is the least common multiple of 40 and (-7)/1*c + -3?
40
Suppose -19 = 6*z - 109. What is the smallest common multiple of (1 - (-1)/(-2)) + (-19)/(-2) and z?
30
Suppose 4 = -2*t + 6. Let k = 10 + t. Let u = -1837 - -1846. Calculate the smallest common multiple of k and u.
99
Let l be (-4)/14 + 21010/73388. Let c = -356501/78630 + l. Let t = 1054378/21 + -50205. Calculate the common denominator of c and t.
105
Let t = 3295/8 + -2669/24. Let d = t - 171089/570. Find the common denominator of d and -19/4.
380
Let a = 7/157 + 3513/2198. What is the common denominator of 441/(-14)*(-1)/(-33) and a?
154
Let r = -4569 + 4605. Calculate the smallest common multiple of r and 36.
36
What is the common denominator of -4 + (-362)/(-98) + -4 + 152/36 and -119/12?
1764
Let a = -491427/923986 + -6/14903. Let k = 10/437 + -7629/8740. Find the common denominator of a and k.
620
Suppose 12 = 9*o - 4*o - 3*q, -4*o + 2*q + 10 = 0. Let h be -35*27/(9/o). Calculate the common denominator of -61/40 and (h/12 - 3) + 4.
40
Let u = -1053 + 1293. What is the lowest common multiple of u and 128?
1920
Let y = 90 - 1180. Let m be y/55 + (-2)/11. Let o = 23 + m. Calculate the smallest common multiple of 5 and o.
15
Let t(v) = v**3 - 17*v**2 - 38*v + 9. Let i be t(19). Suppose i*c + 5*n - 111 = 8*c, 4*c + n = 425. Calculate the lowest common multiple of 20 and c.
1060
Let b(c) = c**3 + 15*c**2 + 23*c - 24. Let l be b(-13). What is the common denominator of 161/60 and 49/7 - 6 - (-26)/l?
60
Let q = -30/917 + -76659/95368. Find the common denominator of q and 1/1430.
5720
Find the common denominator of 23/537 and (-5)/35 + (-40394)/(-12768).
8592
Let v = 30261/10 - 3021. Calculate the common denominator of 103/1034 and v.
5170
Let s = -20616 - -20726. What is the least common multiple of 1760 and s?
1760
Let h = -6465 + 38651/6. Let u be -123 + -4 + (4 - -3). Find the common denominator of ((-8)/(-3))/(45/u) and h.
18
Let c = -2859 + 5675/2. Let h = 6 + -7. What is the common denominator of c and 63/(-17) - (h + -1)?
34
Let f = -19400 - -1164053/60. Let i = -1223/414 - -151/23. Find the common denominator of f and i.
180
Suppose -82 = -8*f + 70. Suppose -f*m + 25*m = -138. Let y = -17 - m. What is the least common multiple of y and 60?
60
Suppose 4*l - 2*l = 20. Let v(p) = -p**3 - 7*p**2 + 20*p + 20. Let x = 58 - 67. Calculate the lowest common multiple of l and v(x).
10
Suppose 5*j - 4974 = 2*b, -795*j + 797*j - 1986 = -b. Calculate the smallest common multiple of j and 8.
3976
Suppose -2*y - 37 = -3*y + 5*q, -5*y + 5*q + 165 = 0. Calculate the lowest common multiple of 272 and y.
544
Suppose 4*u - 5510 = 4*x - 5646, 4*x = -u + 56. Calculate the lowest common multiple of (-82)/(-4) + (-1)/2 and x.
180
Let a(p) = 2*p**2 - 58*p - 4. What is the smallest common multiple of a(34) and 462?
3696
Let h = 113879 - 700014215/6147. Let g = -276601/43029 + h. Find the common denominator of 6/16*(-142)/(-6) and g.
56
Suppose 3*b + 65*s - 461 = 207, 0*b - 3*s = -5*b. Suppose -2*z = -66 - 42. What is the smallest common multiple of b and z?
54
Let j(q) = q**3 - 3*q**2 + 4*q. Let b(c) = -3*c + 23. Let v be b(9). Let w(u) = u + 7. Let l be w(v). What is the smallest common multiple of j(l) and 22?
132
What is the lowest common multiple of -6*-6*(-1)/36*-910 and 65?
910
Suppose 6*p + 10171 = 1927. What is the lowest common multiple of (p/(-30) + (-1)/(-5))*1 and 4?
92
Let d = 457 - 462. Calculate the lowest common multiple of 2 and (-3)/d 