 4*i + 3*o - 223 = 4*o, 4*i - g = -5*o. Calculate the lowest common multiple of i and 171.
171
Let p(o) = 283*o**2 - 10*o + 1. What is the least common multiple of p(1) and 14?
1918
Suppose 4*w - 192 = -4*k, -532*w - 114 = -535*w + 3*k. Calculate the lowest common multiple of w and 30.
1290
Let i(x) = -2*x**3 - 4*x**2 + x - 1. What is the least common multiple of i(-3) and (-11)/2*(-16)/8?
154
Let d = -35960/37 - -2508071/444. Let y = -3604 - -8276. Let s = d - y. Find the common denominator of s and 125/6.
12
Let h(l) = -3*l**3 + 29*l**2 - 53*l - 9. What is the lowest common multiple of h(7) and 2948?
8844
Suppose 62*i - 17 = 147 + 84. What is the smallest common multiple of i and 4/6 + (-2)/(-6)?
4
Suppose -2*a = -3*h + 2, -a = -5*a - 16. Find the common denominator of 1/30 and (91/(-48))/(h/(2 + 2)).
120
Let q be ((-428)/(-52))/(360/(-591)). Let z = q - -868/65. Calculate the common denominator of -91/6 and z.
120
Calculate the common denominator of 111/364 and 3/162*8*(-2 - 230/260).
3276
Let h(p) = -p**3 - 23*p**2 - 19*p + 46. Let g be h(-22). Calculate the least common multiple of 9 and (-90)/g*(-12)/(-9).
18
Let g = -2893 - -5055. Let h be (8650/g - 2) + -2. Let i = h + -16226/11891. Find the common denominator of -46/11 and i.
11
Let n = -124 + 71. Let w = -49 - n. What is the least common multiple of w and 61?
244
Calculate the common denominator of -8/25 and ((-336)/70)/12 + 17/(-100).
100
Let l = -5/22881319 + 12661126174231/411863742. Let i = 30733 - l. Find the common denominator of i and -3 + (4 - (-73)/(-10)).
90
Let g be ((-1)/(-3))/(1/(-3)) + -35. Let c = 65 + g. Suppose 23 = t - c. What is the smallest common multiple of 20 and t?
260
Suppose 316 = 4*f + 2*u, 0 = 4*f - 20*u + 11*u - 228. What is the lowest common multiple of 4100 and f?
12300
Suppose -m - 190*g = -195*g - 14, -2*m + 12 = -2*g. What is the lowest common multiple of (-75)/(-9) - (-2)/(-6) and m?
8
Let z = 231098/55 + -4202. Let m = z - -2896/165. Find the common denominator of -62/3 and m.
3
Let a = 24 + -27. Calculate the common denominator of (-7 + -1)/(2/6*a) and 67/2.
2
Suppose -93 = -49*g + 266 + 817. Calculate the lowest common multiple of g and 15.
120
What is the common denominator of (-1668)/(-8)*(-21)/17955 and 103/270?
5130
Let b = 92877 - 13002921/140. Find the common denominator of b and 93/40.
280
Suppose -21*m + 16*m = -945. Calculate the smallest common multiple of (-30)/(-8)*(-760)/(-475) and m.
378
Suppose -817*n + 707*n = -824340. What is the smallest common multiple of n and 12?
14988
Find the common denominator of 1173/69 + (-19675)/1140 and 163/504.
9576
Suppose 2327 = z + 2115. What is the smallest common multiple of z and 208?
11024
Calculate the common denominator of 127/110 and (1524/352)/(15/18*18/4).
110
Suppose 2*o + 0*o - 4 = 0. Suppose 7*z + 164 - 150 = 0. Calculate the smallest common multiple of 2 and (z/4)/(o/(-112)).
28
Suppose 12*l = -1050 - 702. What is the common denominator of 17/16 and l/40*370/2516?
272
Let m(y) = -2*y**3 + 33*y**2 + 19*y - 31. Let l(q) = -4*q**2 + 17. Let i be l(0). Calculate the least common multiple of 15 and m(i).
15
Let m be (-5064)/84 + (-2)/(-7). Calculate the common denominator of (-4 + (-180)/(-28))/(m/14) and 61/9.
90
Let k(a) = -a**3 - 76*a**2 - 119*a - 1649. What is the smallest common multiple of 11 and k(-75)?
18161
Let l = -137435/98571 + 1/2987. Find the common denominator of 73/153 and l.
1683
Let u = -457 + 474. Calculate the smallest common multiple of (459/72)/u - (-21)/8 and 7 + (2 - 3)*-1.
24
Let h = -729782/33 + 22115. Find the common denominator of 1/(-1) + (-26)/24 and h.
132
Suppose -2*d + 58 = y, -y - 6 = 4*d - 72. Calculate the least common multiple of 80 and y.
400
Calculate the common denominator of (-12814)/1440 + -21 + 8 + 22 and -143/2520.
5040
Let h = 17588 - 17556. Let q be ((-2)/(-3))/(2/(-6)). Let o = q + h. Calculate the least common multiple of 18 and o.
90
Let s be 44 + -18 - (1 + -1)/(-1). Suppose 46 = 9*o - s. What is the smallest common multiple of o and 10?
40
Suppose -3*h + r = -2*h - 4, 5*h - r = 0. Calculate the common denominator of -5 + h/(120/(-1015)) and 47/24.
24
Suppose 36*h - 62*h = -78. Suppose 21 + 9 = h*x. Calculate the least common multiple of 132 and x.
660
Let t be 6 + 0 + 10139/(-360). Let r = 953/45 + t. Find the common denominator of 115/24 and r.
72
Let b = -8 + 11. Suppose 0 = b*k + 2*k - 10. Suppose 3*d = 2*n + 50, -2*d - 4*n + 40 = -k*n. What is the least common multiple of d and 2?
18
Let n = 983/280 - 23/105. Calculate the common denominator of n and (3/14)/(-4 - -2).
168
Let q = -239/2 - -1541/12. Let g = -157847/4600 + 689/200. Let r = -7319/138 - g. What is the common denominator of q and r?
12
Find the common denominator of 83/232 and (235/(-28))/5 - (-41)/41.
1624
Calculate the common denominator of 94/(-27495)*1206/120 and 41/150.
1950
Let x = -198250 - -1189499/6. What is the common denominator of x and (515/516 + -1)*170?
258
Let k be -1 + -1 - ((-60)/(-10) - 20). Suppose k*u = 6*u + 30. Let b(a) = 2*a - 8. Calculate the lowest common multiple of b(6) and u.
20
Let d(x) = x**2 + 37*x + 5. Let q be d(-37). Find the common denominator of -119/6 and 1/q*198/976*20.
366
Let q(z) = 1658*z**2 - 50*z + 45. Calculate the least common multiple of 570 and q(1).
16530
Suppose -41*r + 48*r = -1274. Let t = 206 + r. Calculate the lowest common multiple of t and 132.
264
Let d(m) = -m + 39. Suppose -19*q - 9 = -16*q. Calculate the lowest common multiple of 6 and d(q).
42
Suppose -3*w - 18043 = -4*y, 2*y + y - 24062 = 4*w. Let v = 35959/6 + w. What is the common denominator of -50/37 and v?
222
Let v = 4725 + -3825. What is the least common multiple of 360 and v?
1800
Let a = 77546916299/92 + -842890515. Let t = a - 10748. Calculate the common denominator of ((-26)/(-52))/(2/8) + (-95)/(-45) and t.
828
Let u = 314 + 4517. Let x = 160426037/16 + -10031460. Let m = u + x. What is the common denominator of m and 49/20?
80
Suppose 0 = 4*h + 1 + 11, 0 = 3*a - 5*h - 39. Let i = -35 - -38. Let j = 7 - i. Calculate the lowest common multiple of a and j.
8
Suppose -k + 2*k - 5 = 0. Let t = 12586/237 - 2194/79. Calculate the common denominator of 174/(-20) - 2/k and t.
30
Let v be (4/80*-22738)/(60/75). Let i = v - -1416. Find the common denominator of i and (-1)/(-2)*119/(-3).
24
Let j be (-42)/(-8) + (-4)/16. Suppose j*l + 4*v - 12 = 0, 5*v + 0 = -3*l + 2. What is the least common multiple of (-3)/((-6 + -2)/16) and l?
12
Let m(w) = -69*w - 1. Let x be m(10). Let n = -4163/6 - x. Find the common denominator of n and ((-2)/54)/(4/(-102)).
18
Suppose -4*m + 12 = -2*t, 2*m = 5*t - 2*m + 6. Let b be 4 + 525 + -3 + t. Let l = b - 1597/3. Calculate the common denominator of 3/10 and l.
30
Let j = -342421 + 345160471/1008. Calculate the common denominator of j and -11/756.
3024
Let q = 6 - -3. Suppose -2*y = -5*w + 3173, 54*w - 56*w - 2*y = -1258. Let x = -626 + w. What is the lowest common multiple of q and x?
63
Let o(v) = v**2 - 4*v. Let q be o(4). Suppose q = 40*l - 3639 - 361. Calculate the least common multiple of l and 14.
700
Let x be (2090/(-45))/(-2 - (-2940)/1466). Let a = x + 8503. Let g = -44/397 + -40717/8734. Calculate the common denominator of a and g.
198
Suppose 0 = -10*p - 5*v + 910, -15*p + 16*p + 2*v - 94 = 0. What is the smallest common multiple of p and 180?
180
Let n(u) = -2*u**2 + u + 3. Let r be n(2). Let g be (9 + -3)*1/r. Calculate the common denominator of (-13)/g - (14 - 10) and 81/10.
10
Let s(o) = 23*o - 8952 + 5*o**2 + 8955 + 0*o - 5*o. Calculate the smallest common multiple of s(-4) and 50.
550
Suppose 39*s - 19*s = 80. What is the smallest common multiple of s and 546?
1092
Suppose 3*y - 5*v = 655, 0 = -2*v + 53 - 63. Calculate the least common multiple of 120 and y.
840
Suppose 4*o - 5*a - 73 = 0, 0 = o + 162*a - 157*a + 13. Calculate the least common multiple of 504 and o.
504
Suppose -12*f - 223 = 77. Find the common denominator of 14/3 and 5/f*(-1660)/84.
21
Let a = 164 + -266. Let f = a + 147. Find the common denominator of ((-116)/36)/((-24)/f) and 69/8.
24
Let w = -6 + 10. Suppose -41*c = -46*c + 15. Suppose -q + 8 = 2*l, c*l = -2*q - 0*l + 14. Calculate the lowest common multiple of q and w.
4
Let p = -2197909/