 -6). What is the smallest common multiple of 33 and (-2)/(-9) - -201*o/108?
330
Suppose 0 = 3*k - 5*j - 76, 2*k - 3*j - 70 + 19 = 0. Let b(z) = z**2 - 97*z + 2226. What is the smallest common multiple of b(61) and k?
270
Find the common denominator of 59/40 and 7 + 1/((-77860)/545717).
9160
Suppose 8*y - 5*y = 4*i + 14, 2 = y - 4*i. Suppose 14 = 2*t + 4*z - y*z, -t + 6 = -2*z. What is the lowest common multiple of 68 and t?
136
Suppose -5*l + 3*r - 7*r + 62 = 0, 2*l - 8 = 4*r. Let s(j) = -4*j - 6. Let q be s(-7). Let o = -8 + q. Calculate the least common multiple of o and l.
70
Let n = -1227 - -11030/9. Let y = 274012/21 + -13045. Calculate the common denominator of n and y.
63
What is the least common multiple of 189/(-2)*(-1400)/490 and 36?
540
Let x = 84207 + -5052541/60. Calculate the common denominator of x and -95/24.
120
Let g = 47/36 - 7391/5652. Let v = 295272226 - 1112585740511/3768. Let w = v - g. Find the common denominator of w and -16.
8
Let q(v) = v**2 + v - 1. Let j = -42 - 72. Let z = 114 + j. Calculate the common denominator of -13/33 and q(z).
33
Suppose -3*i + 1604 = 4*b, 5*i - 860*b + 862*b = 2692. Calculate the least common multiple of i and 60.
540
Let o(z) = -z**3 - 18*z**2 - 49*z - 51. Suppose 0*n = g + 3*n + 6, -3*n + 84 = -5*g. What is the smallest common multiple of o(g) and 14?
126
Let l = 145 + -799. Let k = -474 - l. What is the least common multiple of k and 18?
180
Let w = 349379/2 + -174722. What is the common denominator of w and 1 - (-2 - 314/(-64))?
32
Let n(q) = -q. Let c be n(12). Let t = 6958 - 229589/33. Find the common denominator of t and ((-130)/c)/(2/4).
33
Suppose -3*g + 2*c = 2, -2*c + c + 12 = 4*g. Suppose -g*z + 45 = 3*h - 94, -5*z + 3*h + 400 = 0. What is the lowest common multiple of z and 14?
154
Let o(p) = 2*p + 10. Let x be o(-3). Let w be (-5)/(70/(-2208))*x/(-88). Let n = -27/11 - w. Calculate the common denominator of n and 14/5.
35
Let y = 39512653/276 + -143162. Find the common denominator of -16/207 and y.
828
Let v = 4844/855 + 23/171. What is the common denominator of v and 35?
5
Let p = -50 - -57. Suppose p*l + 10 = 38. Suppose l*r = 7*r - 24. What is the lowest common multiple of r and 10?
40
Let x be 7 + -2 + (-29 - -29). Suppose 5*k + 11 - 31 = 0. Calculate the least common multiple of k and 27 - (x - -2 - 2).
44
Let h = 25247 + -10351303/410. Calculate the common denominator of 75/92 and h.
18860
Let r = 1403298737875 + -342845527844391961/244314. Let o be 27/126*(-6)/17451. Let j = o - r. What is the common denominator of -91/4 and j?
36
Calculate the least common multiple of 174 and 1380/9*(-369)/(-205).
8004
Suppose 4*j + 2590 = 5*c, -3*c + 2*j - 238 + 1794 = 0. What is the smallest common multiple of c and 18?
522
Let d(r) be the first derivative of 13 - 1/3*r**3 + 4*r**2 - 8*r. Calculate the least common multiple of d(5) and 9.
63
Let v = -94/822155 - 10742214908/545088765. Let s = 62249/9061 + -280/41. Let q = s + v. Calculate the common denominator of 37/6 and q.
6
Let f = 935/249 - 67471/14940. What is the common denominator of f and -9/100?
900
Suppose 28*f - 23*f = -153225. Let i = f - -919211/30. What is the common denominator of 109/180 and i?
180
Suppose 35*l + 2*f + 120 = 37*l, -4*f - 177 = -3*l. Calculate the lowest common multiple of l and 1 - (-3)/((-6)/(-110)).
504
Calculate the common denominator of (0 - 1)*-2 + (-64408)/1328 and -53/2460.
2460
Let s = 188 - 87. Let f = 115 - s. What is the least common multiple of f and 12?
84
Suppose -19*z + 11*z + 32 = 0. Let v = -133 - -159. What is the least common multiple of v and z?
52
Suppose 0 = 3*d + 18 + 174. Let h = d - -67. Calculate the smallest common multiple of 6 and ((-30)/(-35))/h - (-183)/21.
18
Let j = -4808 + 1221291/254. What is the common denominator of 89/10 and j?
1270
Let d = -4067/1350 - -44/75. Find the common denominator of d and 126/105*(-67)/20*55/(-66).
540
Suppose 0 = 4*m - 3*q - 105, -4*m + 163 = -5*q + 60. Let y be (-38784)/(-40) - 11 - (-4)/10. Let a = -944 + y. What is the smallest common multiple of m and a?
135
Find the common denominator of (-134)/(-12) - (0 + 0) and (1889/(-139786))/(58/56 - 2/7).
222
Let o(u) = -u**2 + 90*u + 349. What is the lowest common multiple of o(87) and 110?
6710
Let v(h) = 9*h - 14. Let m(j) = -2*j - 26. Let l be m(-22). Suppose 2*n - 6 = l. What is the least common multiple of v(4) and n?
132
Let x(a) = 32*a**3 - a**2 - 10*a - 7. Let y be x(5). Calculate the common denominator of 4 + 3/((-2340)/y) and 12/55.
1430
Let b = -37 - -32. Let x(w) = w**3 + 5*w**2 - 3*w - 9. What is the least common multiple of x(b) and -4 - 30/(-1 + -2)?
6
Let r(m) = 24*m. Calculate the lowest common multiple of -6 + 3 + 47 - (-132)/(-12) and r(3).
792
Suppose -18*d = -13*d - 164360. Let j = -920529/28 + d. What is the common denominator of j and -148*5/320 + 5?
112
Let o(x) = 2*x**2 + 15. Let q be o(0). Let w(z) = q + 6*z - 14*z**2 + 22*z**2 - 8. What is the lowest common multiple of w(-3) and 2?
122
Let b be 6/20*243095/18. Let j = b - 4061. What is the common denominator of j and 1716/16*21/378?
24
Let a(j) = 3*j**2 - 4*j + 4. Let t be a(2). Suppose -t*x = -10*x + 92. Find the common denominator of ((-22)/33)/(4/8) and x.
3
Suppose 5*o - b + 17707 = 0, -3*b = -3*o + 4*o + 3535. Let p = o - -42595/12. What is the common denominator of ((-10)/(-12) + -1)/(-1) and p?
12
What is the common denominator of -3*((-528)/(-392))/(-3*12/63) and 24/23?
322
Let s be 147/77 + (-6)/(-66). Suppose 169 = 3*m - 4*g, -4*m + s*g - 325 = -9*m. Calculate the lowest common multiple of 105 and m.
315
What is the lowest common multiple of 2 and (100/(-16))/5 - 884460/(-240)?
3684
Let s = -1/2553 - 51049/28083. Find the common denominator of (-2890)/68 + 33/3 and s.
22
What is the least common multiple of 418 and ((-6)/(-3) - (-6 - -2)) + 8?
2926
Let j = -31 - -59. Calculate the lowest common multiple of j and (4*65/(-624)*9)/((-6)/16).
140
Find the common denominator of 91/600 and 1652/(-56640)*(2 - (-64)/(-10)).
600
What is the common denominator of (-2)/(-24)*(-606)/4 and ((-325)/(-160) + -2)*2664/36?
16
Let w(f) = 51 - 5*f**2 - 3*f - 2*f**2 + 13*f + 12*f + 6*f**2. Calculate the least common multiple of w(24) and 180.
180
Let p(s) = s**2 + 11*s + 30. Let u be p(-4). Suppose u*f = -13 + 7. What is the least common multiple of 30 and (16 + 5 + f)*(-10)/(-6)?
30
Let j = 169003/150 - 3379/3. Let c = 11947/24450 - 14/489. Find the common denominator of c and j.
150
Let a be (14 + 4)*1/3. Suppose 3*c - a - 15 = 0. Suppose -175 = -c*w + 2*w. Calculate the common denominator of -53/6 and w.
6
Suppose -5*s - 3*v = -307 - 187, -302 = -3*s + v. Suppose -6*n + n + s = 0. What is the lowest common multiple of n and 52?
260
Let q be -5 + ((-108)/21)/(12/(-616)). Let z = q + -229. What is the least common multiple of 25 and z?
150
Let y be (3 - (-47720)/(-15906))/((-2)/63354). Let x = -26/241 - y. Find the common denominator of x and 27/38.
418
Suppose -13 + 1 = 4*i, -4*i - 3084 = -2*a. What is the least common multiple of a and 768?
1536
Let w = 858/21877 + -4/167. Let i = 10877/262 - w. Find the common denominator of 39/10 and i.
10
Calculate the common denominator of -1*(-2)/50*(-1584)/(-64) and ((-186)/(-10))/(108 - 106).
100
Calculate the lowest common multiple of 15 and (-2 - (-26)/8)/(156515/7452 - 21).
405
Let i(x) = 2*x + 1. Suppose 0 = -4*c - 16 - 0. What is the lowest common multiple of i(3) and (-48)/(-7) - ((-189)/(-49) + c)?
7
Suppose 0 = 3*w + 3*c - 372, 2*c = 3*c - 3. Suppose 5*f + 2*g - 523 = 0, 7165*f - 155 = 7164*f - 4*g. What is the lowest common multiple of w and f?
1089
Let q be (-2)/(3 + -2)*(-3)/6. Let x = q + -1. Suppose 4*y = 5*w - x*y - 156, -2*w + 62 = -2*y. What is the smallest common multiple of w and 20?
160
Let l be 1/(-7)*2*(-4 + -3). Suppose -l*u - 288 = -6*u. Calculate the lowest common multiple of u and 8.
72
Let x(m) = 4*m**3 + 19*m**2 - 5*m - 2. Let b be x(-5). What is the common denominator of 35/27 and ((-212)/(-20))/(b + 22/(-10))?
189
Let h be (1/2)/(2/8). Let z(s) = -80*s - 1198. Let f be z(-15). Suppose -5*j + 62 = f*r, j + h - 9 = 5*r. What is the lowest common multiple of j and 14?
84
Suppose -5*m - 3*g - 139 + 7 = 0, m = g - 20. Let z = -20 - m. Suppose c + 2 -