smallest common multiple of q(-56) and w?
24
Suppose -12*q = -13*q + 666. What is the common denominator of -67/36 and 10/12 + q/(-270)?
180
What is the least common multiple of 108 and -14*660/(-11)*(-20)/(-35)?
4320
Find the common denominator of (2/1)/(1560/(-1590)) and 0 + 0 - 3 - (-238)/40.
260
Let t = 29 - 29. Let l(k) = k**2 + 3*k + 5. Let y be l(t). Calculate the smallest common multiple of (6 - y)*(-4 - -2 - -12) and 22.
110
Let t(l) = -74*l - 98. What is the lowest common multiple of 168 and t(-7)?
840
Suppose 0 = -86*z + 72*z + 350. Calculate the least common multiple of z and 20.
100
Let i(y) = 8*y + 20. Let g be i(-8). Let f = 62 + g. Suppose 0 = -2*a - 2*t + 12, 2*t = a + 6*t - f. What is the lowest common multiple of a and 6?
6
Let u be 99705/(-35) + (-4)/14. Let r = u + 59800/21. Let x = -13945 + 418409/30. What is the common denominator of x and r?
210
Suppose -4*w - 514 = m, 0 = -w + 3*w - 3*m + 264. Let p be 3/5 - w/(-370). Let y = p - -172/37. What is the common denominator of y and 109/6?
30
Let h = 1/33777 + -709462/4897665. What is the common denominator of h and 71/10?
290
Let w = 23623/1203 - -12/401. Let s = 1153/11 + -101. What is the common denominator of w and s?
33
Let p(n) = -9*n + 48. Let f be p(-6). Let h = f - -20. Suppose 5*w - 32 = 18. What is the least common multiple of h and w?
610
Let i be (-1 + 5)*(-6)/(-1). Let k = 23 - i. Find the common denominator of -1 + -3 + (-86)/11*k and -23/5.
55
Let p(s) = s**3 - 24*s**2 - 22*s - 71. What is the lowest common multiple of p(25) and 374?
748
Let a be 4/(5/((-15)/6)). What is the common denominator of a/(40/(-57)) + -3 and ((-18018)/5720)/(6/(-5))?
40
Let s = -211277/82 - 7223233/492. Let x = -17270 - s. What is the common denominator of x and -79/44?
132
Let m be (-1)/((-8)/20 + (-14)/(-60)). Suppose -2*q + m*q - 215 = w, 2*q - 2*w = 106. What is the lowest common multiple of 3 and q?
54
Suppose -659*y = -336*y - 1166030. Calculate the lowest common multiple of 570 and y.
10830
Let x = 2431 + -2427. What is the smallest common multiple of x and 1192?
1192
Suppose s - 2500 = -24*s. Suppose 10*a = 2060 - s. Calculate the lowest common multiple of a and 10.
980
Let x = -409 + 443. Calculate the smallest common multiple of 23/2 + 100/40 and x.
238
Suppose -212 = -36*o + 210 - 98. Calculate the lowest common multiple of 3789 and o.
3789
Find the common denominator of (-4958)/3108 + 3/9 and -181/546.
546
Find the common denominator of (-295)/255*((-6)/21 + 2/28) and 85/588.
9996
Let x = -15323/7926 - 1/13210. Calculate the common denominator of x and 10/83.
1245
Let g = -1972 + 9806/5. Suppose 5*i - 94 - 26 = 0. Calculate the common denominator of g and (-798)/40 + i/(-30).
20
Let t(j) = 6*j + 58. Let o be 2/(-6)*-30*(-3)/5. What is the lowest common multiple of t(o) and (-1)/(-3)*-14*-6?
308
Find the common denominator of (-5 + (-136)/(-24))*1695/6500 and 1802/396 - (-6)/27.
7150
Let i be (3 - (-54)/(-12))/(3/20). Let w(p) = -10*p - 55. Calculate the smallest common multiple of w(i) and 55.
495
Suppose 2*b + 93 = -3*h, -26*b + 25*b = 0. Let i = h + 37. Calculate the least common multiple of i and 330.
330
Let h = 5010 + -3882752/775. Let i = 49606/2325 + h. Calculate the common denominator of i and 53/30.
30
Suppose 41 = 3*w + 4*u, -3*w + 4*w - 27 = -4*u. Suppose 0 = -2*i + 2, 5*f - 2 = -4*i + w*i. What is the lowest common multiple of (-36)/84 - (f - 108/7) and 7?
14
Suppose 71*t + 1088 = -403. Calculate the common denominator of -39/302 and t.
302
Let i be -1 - (0/5 - 4). Suppose 4*x = 2*q + 174, i*q - 15 = 8*q. Suppose 5*v = 3*t - x, 0 = 2*t - t - 3*v - 14. What is the lowest common multiple of t and 22?
154
Suppose -z + 7 = -2*l - 24, -l = 5*z - 199. Calculate the smallest common multiple of 72/z - (4/13)/(-2) and 5.
10
Suppose 596*s - 3120 = 557*s. What is the least common multiple of s and 4?
80
Let w be 3/(18/4) - (-2508)/18. Suppose 0 = h + 2*d + 12 + 8, -h = d + 16. Calculate the lowest common multiple of (h/5)/((-21)/w) and 20.
80
Suppose -o = -3*v + 853, -v - 8*o + 280 = -4*o. Suppose 5*h = k + v, 4*h - k = h + 170. What is the lowest common multiple of 18 and h?
342
Suppose -650 = -5*b + 4*c, 227 = 2*b + 2506*c - 2501*c. What is the smallest common multiple of b and 1548?
10836
Suppose 10255 = 33*r - 14198. Calculate the lowest common multiple of 57 and r.
741
Let q = 257 - 264. What is the smallest common multiple of 7 and ((-1)/(q/1477))/1?
1477
Let j(i) = -44*i - 224. Let w be j(-5). Calculate the least common multiple of 100 and (30/w)/(462/120 - 4).
100
Suppose 212*h + 1874 - 8618 = -69*h. What is the least common multiple of 774 and h?
3096
Let o = 1644 + -1436. Calculate the smallest common multiple of o and 936.
1872
Let v = 17 + -25. Let w(i) = i**3 + 6*i**2 - 24*i + 31*i + 0 - 4 - 26*i. Calculate the smallest common multiple of w(v) and 4.
20
Let i be (-26045)/15*(2 + (-6)/14). Let c = -2731 - i. What is the common denominator of 20/21 and c?
21
Let w = -2/10703 + -631441/192654. Suppose 0 = 3*m - 5*i - 19, -2*m - 5*i = 4 - 0. Find the common denominator of (m/(-16))/((-6)/(-196)) and w.
72
Suppose -6*i - 235 = 101. What is the least common multiple of 9 and 21*(1728/i)/(-9)?
72
Find the common denominator of -109/44 and (2266/121)/(-2*18).
396
Let p be -3*(-2)/(-1)*(-63)/54. Suppose 4*c = x - 16, -x + c + p + 0 = 0. Calculate the least common multiple of x and 16.
16
Suppose -5*x - 2 = -2*q, -x = -2*q + q - 2. Suppose k - 2*n + n - 5 = 0, -4*k - n = -5. Find the common denominator of 131/18 and x/k + 343/(-126).
18
Let x = 3/149120 + 5216593/129585280. What is the common denominator of -53/4740 and x?
52140
Let i = -1849/3 - -639. Let w = -5/158 - -2741/1738. Find the common denominator of w and i.
33
Let a = 479707/18 + -26657. Calculate the common denominator of (-4)/140 + 118067/7770 and a.
18
Suppose -4*u - 716 = -700. What is the common denominator of -20*(u + (-325)/(-70) + -1) and -59/5?
35
Let l = 101 + -38. Let d = l - 27. What is the lowest common multiple of d and ((-41)/((-2870)/80))/(2/7)?
36
Let w be 4 + 1 + 200 - 2*1. Suppose 10*z + w = 3*z. Let p = 35 + z. What is the smallest common multiple of p and 42?
42
Let b = -749191/108 - -6937. What is the common denominator of b and (-1)/8 - (-24 + 27468/1056)?
1188
Let t(m) = m**3 + 7*m**2 - 10*m - 24. Let s be t(-7). Let r = s + -39. What is the lowest common multiple of r and 2/(-4)*(-1 - 21)?
77
What is the common denominator of 2604/1674 - 109/72 and ((-159)/48)/(2/4)?
24
Let f = 11 + -5. Suppose f*p + 19 = 163. Find the common denominator of 22/10*4*(-2)/p and 47/3.
15
Suppose -3*n - 5 = -9*m + 14*m, 4*m - 3 = -n. Suppose m*u + 4*u - 48 = 0. Let h(r) = -r**2 - 7*r + 2. Calculate the lowest common multiple of h(-5) and u.
24
Let r(j) = 3*j**3 - 2*j**2 + j. Suppose 0 = -207*f + 22466 + 12310. Calculate the least common multiple of r(1) and f.
168
Calculate the smallest common multiple of 234465/6525 + 1/15 and 1458.
2916
Let f = -32 - -53. Let r = 22 - f. Suppose 3*a - 34 + r = 0. What is the smallest common multiple of 1 and a?
11
Let z = -4215 - -4503. Calculate the lowest common multiple of 160 and z.
1440
Let s(z) = -38*z + 3. Let h be s(0). Suppose -4*r + 7*r + 3*m = 93, h*r - 88 = 2*m. What is the smallest common multiple of 15 and r?
30
Suppose 155 = -5*d + 5*v, -2*d - 2*v = -v + 50. Calculate the common denominator of -76/9 and (-6)/d + ((-209)/(-180))/1.
180
Suppose -42 = -2*x - x + 3*o, 2*o + 10 = x. Let r = 20 + -22. Calculate the lowest common multiple of 6*(r - 28/(-12)) and x.
18
Let g be 4 + 0 + 16788/(-4198). Let r = -216209/12594 + g. Find the common denominator of -32/11 and r.
66
Let d = 902/133 - 259/57. Suppose -7521 = -3*g + 3*p, 5004 = g + g - 4*p. Let q = 7601/3 - g. Calculate the common denominator of d and q.
21
Suppose -23*x + 25*x = 12, 4*x + 81 = g. Calculate the lowest common multiple of 10 and g.
210
Let y be (539729/(-12570))/((-86)/((-2)/(-2))). Let o = 32/6285 - y. Calculate the common denominator of 41/4 and o.
172
What is the common denominator of -89/682 and 8/(-496)*(-140)/8?
1364
Let c(y) = y**3 + 4*y**2 - 2*y - 1. Suppose 14 + 36 = -5*b. What is the smallest common multiple of (-2)/((-12)/b)*(-6)/1 and c(-4)?
70
Suppose 0 = -2*l + 5*p + 