common multiple of 210 and v.
630
Let l(i) = -i**3 - 5*i**2 + 4*i + 7. Calculate the lowest common multiple of l(-7) and 336.
3696
Let h(y) = -2*y + 41. Let n be h(19). Suppose -n*q - 6*q = -8*q. Find the common denominator of ((-8)/(-6))/(-2)*34 - q and -113/48.
48
Suppose -13 = 5*k + 4*l, -2*k + 1 = -4*k - 3*l. What is the least common multiple of 11/3 + k/3 and 6?
6
Suppose 0 = -x - x + 454. Let r = 2495/11 - x. Calculate the common denominator of r and (462/(-28) + 16)/((-10)/226).
110
Suppose 92*h - 6197 - 867 = 1032. Calculate the lowest common multiple of 3056 and h.
33616
Suppose -73 + 21 = 2*d - 5*b, -4*d - 124 = -5*b. Calculate the smallest common multiple of 24 and 44 - (-5 - d/4).
120
Let m = -1073 + 1337. Calculate the smallest common multiple of 1276 and m.
7656
Suppose 0 = -4*s + 17*s - 3468 - 9428. What is the smallest common multiple of 186 and s?
2976
Calculate the common denominator of 17*1551/3740*(-5)/(-108) and 79/1224.
2448
Let a(q) = -q**2 + 17*q + 12. Suppose 0 = 4*b + 2*c + 2*c + 20, -10 = 5*b + 2*c. What is the lowest common multiple of 164 and a(b)?
492
Let n = 48 + -44. Suppose 4*g + 3*r = 61, 64 = n*g + r + 3*r. What is the smallest common multiple of g and (-1 - 6)*3/(-21)?
13
Let x = 1062122125/1899 + -559306. What is the common denominator of x and 37/27?
5697
Suppose 0 = -4*l + 3*k - 18, 45 = -5*l - 5*k + 5. What is the lowest common multiple of 4 and 4/l*(6 - 4)*-3?
4
Suppose 4*v - 2*u = 10 + 12, 5*v - 2*u = 24. What is the least common multiple of 180 and v?
180
Let g be 31/4 - (468/48 - 9). Find the common denominator of 11/256 and g/(-2)*(4 + (-1023)/77).
256
Let d(n) = -6*n - 4. Let b = -17 - 328. Let o = b + 365. What is the lowest common multiple of d(-4) and o?
20
Suppose 143*w - 2993 - 1011 = 0. Calculate the smallest common multiple of 812 and w.
812
Let s(o) = 3*o - 5*o + 7*o - 3. Suppose 24 = -3*f, 4*q - 2*f + 127 = 151. Calculate the least common multiple of q and s(3).
12
Suppose -2*b + 5*h = -39, 0 = 4*h - 3 + 15. Let s(j) = j + 2. Let r be s(b). Suppose -r*d = -13*d - 21. What is the least common multiple of 8 and d?
168
Let v(j) = -3*j**3 - 21*j**2 + 16*j + 73. Find the common denominator of v(-7) and 104/525.
525
Suppose y + 1 = -l, 8*l = -4*y + 6*l + 2. Suppose b - 34 = y*g - 7*g, 0 = -3*g - 8*b + 13. Calculate the lowest common multiple of 127 and g.
889
Let q = 13282 - 265571/20. Let k be (1332 + 2)*-2 - 2. Let n = 26737/10 + k. Calculate the common denominator of q and n.
20
Let r = 1256 + -436. Calculate the common denominator of 145/12 and r/(-1088)*(-26)/(-65).
408
Suppose -11 + 11 = 5*v. Let o = -3/1847 - -182865/7388. Find the common denominator of o and (-194)/104 + v + 3.
52
Find the common denominator of -1 + ((-127)/(-56) - 1) and 2/2 + 2925/52*(-8)/406.
1624
Let h be (-6)/(-18) + 4/(4224/(-17972)). Let s = h - -442/33. Calculate the common denominator of s and -169/30.
120
Suppose 10 = d + 4*d. Suppose -4*i + 14 = -r, -2*r + 14*i + 14 = 12*i. What is the least common multiple of r and d?
14
Let o be 3/15*2 - 33/(-5). Let y(d) = -d**3 + 7*d**2 - 6*d + 6. Let x be y(o). Calculate the common denominator of -45/8 and (-213)/x - 2*2/(-16).
24
Suppose 0*l + l - 5*d - 44 = 0, -3*l - 3*d = -60. Calculate the lowest common multiple of l and (-408)/(-10) - ((-960)/100)/8.
168
Calculate the common denominator of 99/(-60)*(-5)/(-6) and (124/(-32) - -4) + (-3720)/(-5440).
136
Let d be -92*-2*(-2)/2. Let k = -67 - d. Suppose 65 = 5*z - l - 58, k = 5*z + l. Calculate the least common multiple of 24 and z.
24
Let l = -2673 - -2683. Calculate the least common multiple of l and 319.
3190
Let q = -30499/763059 - -4/1217. What is the common denominator of q and 131/132?
2508
Let i(r) = -r**2 + 4*r + 65. Let w = 49 + -5. Suppose 3*c + 2 = w. Calculate the least common multiple of c and i(10).
70
Let i = -5532977/1428 - -27120/7. Calculate the common denominator of 31/1377 and i.
5508
Let a(n) = 2*n**2 - n + 32. Let t(w) = -10*w - 30. Let l be t(-3). What is the least common multiple of 32 and a(l)?
32
Calculate the common denominator of (44/(-9648))/((15/70)/((-72)/(-84))) and 71/201.
603
Let b(q) = 772*q - 3884. Calculate the lowest common multiple of b(6) and 528.
8976
Find the common denominator of -81/776 and (-7434)/1455 + -48 + 53.
3880
Suppose -5*q - 4*f + 506 = 0, -q - f = 3*f - 114. Let j = -68 + q. Suppose -r = a + 3 - 9, 5*a = 4*r + j. Calculate the lowest common multiple of a and 10.
30
Let x = 8397 - 218295/26. Find the common denominator of x and 138/4*(-2)/(-12).
52
Suppose 3*o = -55*n + 58*n + 2319, 0 = -2*n + 14. What is the least common multiple of o and 84?
5460
What is the common denominator of (2/(-96)*-131)/((-1155)/140) and 109/374?
6732
Let p(l) = 50*l**2 - 20*l - 1. Let y be p(2). Suppose 0 = 2*d + 3*d + 360. Calculate the common denominator of 25/14 and y/6*6/d.
168
Suppose 292*i - 2860 = 282*i. What is the smallest common multiple of 88 and (i/(-52))/((-1)/18)?
792
Suppose -4*p + y + 547 = 0, 9*p + 4*y = 4*p + 668. Let r = p + -120. Let m(n) = n**3 + 7*n**2 - 6*n + 2. What is the least common multiple of m(-7) and r?
176
Let o = -48 + 60. Suppose -4*b + 0 = -o. Suppose 5*k - 8 - 22 = -5*u, -2*k - 28 = -b*u. Calculate the lowest common multiple of u and 18.
72
Let l be (-7574404)/(-2)*22/(-84). Let t = 991321 + l. Let w = -174315/308 - t. What is the common denominator of w and 107/22?
132
Suppose 752 = 3*o - 4*v, -2*o + 492 = -5*v - 0*v. Calculate the least common multiple of 4 and o.
256
Let f(r) = -23*r + 216. Let a(d) be the first derivative of -d**3/3 - 7*d**2/2 - 4*d + 2. Calculate the smallest common multiple of a(-6) and f(9).
18
Suppose 16*v = -270 - 930. Let b = -2/1585 - 13946/1585. What is the common denominator of 2/(-24)*v/4 and b?
80
What is the smallest common multiple of 36*3/6*((-200)/(-15) + -8) and 783?
25056
Let j(n) = 2*n + 29. Let z(l) = -l - 20. Let b(c) = 5*j(c) + 7*z(c). Let h = 5 - 0. What is the smallest common multiple of 12 and b(h)?
60
Suppose 15692 = 36*j + 2588. What is the smallest common multiple of j and 637?
2548
Let z(x) = -5*x**2 - 24*x + 14. Calculate the least common multiple of z(-5) and 5538.
16614
Suppose 0 = g + 1 + 6. Let y(q) = q**3 + 7*q**2 - 4*q - 17. Calculate the lowest common multiple of 1 and y(g).
11
Suppose 10*y = 59 + 51 + 160. What is the smallest common multiple of 174 and y?
1566
Let p(t) = -56*t**3 - 4*t**2 - 21*t - 36. Let c be p(-6). Let o = c - 433481/36. Find the common denominator of o and (-393)/(-10)*(-5)/45.
180
Let k = -181734 + 1617967/9. Let j = 1963 + k. Find the common denominator of j and -71/108.
108
Suppose 160*n - 6624 = 148*n. Let c = -543 + n. What is the lowest common multiple of 95 and c?
855
Find the common denominator of 29/1755 and 1/27*(-10)/((-1100)/(-22)).
1755
Let t be (-10490)/(-14008) + (-4 - 52/(-16)). Let u = 127815/7004 - t. Let x = -377384/29 - -13015. Find the common denominator of u and x.
116
Suppose 2*a - 3040 = -r, 2*r + 1282 - 7346 = -2*a. Calculate the lowest common multiple of r and 2646.
21168
Let c(d) = -1981*d**3 + d**2 - d + 1. Let f = -20 - -21. Let u be c(f). Calculate the common denominator of -1 - (u/8)/9 and -93/20.
20
Suppose -40515 - 15285 = -39*f - 85*f. Let b(a) = -a**2 + 10*a - 2. Calculate the lowest common multiple of f and b(4).
4950
Let m be (459/510)/((-4)/210). Let n = 7743/164 + m. Find the common denominator of n and -1 - (-2)/(-12)*-127.
246
Let a(f) = 22*f**2 - 11*f - 1. Let j be a(4). Let p = j - 627. What is the common denominator of 37 and -15*(p/(-84))/8?
7
Let h(j) = j**3 - 21*j**2 + 2*j + 102. Let l(y) = 4*y**2 + 2*y. What is the least common multiple of h(0) and l(2)?
1020
Suppose 0 = -4*n + 4, 2*v - 112 = -v + 2*n. Suppose -v*y = -4*y - 612. Calculate the smallest common multiple of y and 14.
126
Calculate the common denominator of (-3)/14*(-413)/((7 - 52)*-2) and -23/12.
60
Calculate the common denominator of 9/1330 and 7 - ((-4)/(-6))/((-3780)/(-40419)).
1330
Let g be 3 - (-3 - (-4 - 164)). What is the common denominator of (-4)/(-6)*7347/(-248) and (g/(-165))/((-12)/15)?
44
Let y(l) = 11*l**2 - 44*l + 25. Let t = -23 - -53. What is the smallest common multiple of y(5) and t?
240
Let d(i) = -53*i**3 + i**2 - 8*i. Let n be (-40)/4*3/(-6