 Calculate the common denominator of z and 97/44.
220
Let m = 138 + -114. Suppose -2*p = -4 - 12. Let c = -2 + p. What is the smallest common multiple of c and m?
24
Suppose -52 = 13*m + 338. Calculate the common denominator of 157/30 and (5*(-68)/m)/32.
240
Calculate the lowest common multiple of 34/((-16)/728*-7) + -4 + -1 and 27.
216
What is the lowest common multiple of 1623 and 12/(-10)*((-21)/(-15) - (-1278)/(-270))?
6492
Let b = -2/41637 - 3872081/3330960. Find the common denominator of -21/856 and b.
8560
Suppose v - 708 = -2*u + u, v + 2*u = 710. Let j = v + -1313/2. Calculate the common denominator of (34/(-51))/(2/(-18)) and j.
2
Let v = -246773/264 - -2804/3. Find the common denominator of -71/32 and v.
352
Let h = -14 + 197/11. Let x = h - -103/44. Find the common denominator of x and 87/316.
316
Suppose -2*o = 2*l - 242 - 20, -5*o = -2*l + 276. Suppose 407 + l = 15*u. Calculate the least common multiple of u and 12.
36
Let p(q) be the second derivative of q**5/20 - 5*q**4/3 + 19*q**3/6 + 22*q**2 + 36*q. What is the smallest common multiple of 2 and p(19)?
44
Suppose 52 = 4*p + 4*s, 6*p - 10*p - 2*s = -44. Let w(o) = -o**3 - 12*o**2 - o - 3. Calculate the least common multiple of w(-12) and p.
9
Let a(g) = 11*g**3 + 8*g**2 - 15*g + 8. What is the smallest common multiple of 384 and a(1)?
384
Let a(t) = t**3 - 8*t**2 - 5*t + 18. Let l be a(12). Let m = l - 1089/2. What is the common denominator of 69/10 and m?
10
Let k = 146965/161998 + -97/107. Let x be (-284)/10598*(-2410)/16. Let o = k - x. What is the common denominator of o and -89/10?
140
Let h be (-1 + 33871331/(-5))/(14/(-70)). Let c = 35903608463/1060 - h. Let k = -3/265 - c. Find the common denominator of 95/36 and k.
36
Let z = 383 - 280. Suppose -7*x - z = -208. Calculate the least common multiple of x and 3.
15
Let o(t) = -5*t - 28. Suppose -11 = 2*a + 5*b, 5 = -3*b + 8*b. Calculate the least common multiple of 30 and o(a).
60
Suppose 3*c = 15, c = 2*m + 9 - 6. Let a = -3187/2996 + 324/107. Find the common denominator of (203/(-14))/((-3 - m)/(-12)) and a.
28
Let u be (-71*488)/(-4) + -2. Let s be ((-9)/78)/((-72)/u). Let c = s - 110/13. Calculate the common denominator of 125/12 and c.
12
Suppose -8*u = -12*u - 1484. Let w = -338 - u. What is the lowest common multiple of w and 3?
33
Suppose 0 = 2*c - 157 - 1067. Let q = 567 - 405. Find the common denominator of ((-5)/4)/(q/c) and 35/12.
36
Suppose 0 = 6*p + 14 + 256. Calculate the common denominator of 190/p - (-2)/(4 - 3) and (6/(-32))/(39/442).
72
Let n(z) = 2*z + 10. Let y be n(-6). Let w be (3/(-3))/(y/(-36)). What is the smallest common multiple of (25 - -1)*(-17 - w) and 2?
26
Suppose 5*n = -b + 14, 2*b + 3*n + n - 22 = 0. Suppose b*g = 100 + 44. Calculate the lowest common multiple of g and 32.
32
Let j = 551 + -533. Calculate the lowest common multiple of 3867 and j.
23202
Suppose 40*m = 42*m - 58. Suppose 0 = 31*l - m*l - 84. Calculate the least common multiple of 21 and l.
42
Let o = 11788/11 + -12612731/11770. Calculate the common denominator of -97/14 and o.
7490
Let v = -7281 + 87245/12. Find the common denominator of 81/656 and v.
1968
Suppose -234 = 3*t - 216. What is the lowest common multiple of 2 - -52 - 1*t and 15?
60
What is the least common multiple of 38 and ((5 + -4)*-1)/(2/(-20))?
190
Let c = -202/195 - -1717/390. What is the common denominator of c and -111/4880?
14640
Suppose -46 = 2*v - 124. Suppose 4*m = -3*x + 189, -5*m - 5*x - 116 + 361 = 0. Calculate the smallest common multiple of v and m.
546
Let p = -55 - -27. Let t = p - -76. Let q = -12223/42 + 2134/7. Find the common denominator of q and t.
6
Find the common denominator of 25/112 and 7950/400*(-4)/(-294).
784
Let h be (18/8)/(3/164). Let k = h - 120. Suppose k*t = -11 + 146. What is the smallest common multiple of t and 24?
360
Let c = -23/605 - -8566/24805. Find the common denominator of -41/10 and c.
410
Suppose 3*w = -38 - 52. Suppose l + 9 = -5*p + 10*p, 4*p = 16. What is the lowest common multiple of 12/w - 51/(-15) and l?
33
What is the least common multiple of 690 and 150/(-15) + (-3458)/(-26)?
28290
Let w(c) = -c**3 + 8*c**2 + 9*c - 6. Let l be w(9). Let k = 7/584 - 38273/1752. What is the common denominator of k and ((-40)/l)/(6/(-18))?
6
Suppose 25*i + 124 - 200 = -13*i. What is the smallest common multiple of i and 60?
60
What is the common denominator of ((-229)/(-8015))/(4/(-47)) and -27/140?
140
Suppose -w + 34 - 31 = 0. Suppose -31*o = -w*o - 224. Calculate the lowest common multiple of o and 36.
72
Let c be -3 + (-1 - (5 + -7)). Find the common denominator of (-3 - c)*(-475)/(-10) and 11/4.
4
Let y(r) = -r**2 + 31*r + 762. What is the smallest common multiple of 1762 and y(47)?
8810
Suppose 358 = -8*w + 70. Let p = w + 51. Let l = 36 - p. What is the lowest common multiple of 3 and l?
21
Suppose -7*t + 5 = -2*t. Let s = -175 - -179. Suppose -10*d + 162 = -s*d. Calculate the smallest common multiple of t and d.
27
Let z = -55949958857/3071820 - 3697/51197. Let g = -18215 - z. What is the common denominator of g and 121/12?
60
Let z = -254 - -428. What is the lowest common multiple of z and 406?
1218
Let v(y) = y**2 - y + 6. Suppose 4*q - 5*q = 0. Let h(n) = n**3 + 4*n**2 + 5*n + 54. Calculate the smallest common multiple of v(q) and h(-5).
12
Let x be ((-6163367)/(-140))/17 + (-6)/(-8). Let o = x - 466727/180. What is the common denominator of o and -31/60?
180
Suppose -3*o = 113 - 119, -3*z - 2*o = -7447. Calculate the smallest common multiple of 12 and z.
9924
Let z = -61 - -96. Suppose 32*o = z*o + 93. Let v = 33 + o. What is the lowest common multiple of v and 1?
2
Calculate the smallest common multiple of 47 - 46 - (-1 - 4) and 1659.
3318
Let w = 15185 - 15181. Calculate the smallest common multiple of w and 3898.
7796
Suppose 6*x = 5*x + 1. Let d = -2044 - -2076. Calculate the smallest common multiple of d and x.
32
Let d(m) = 4*m**2 + 8*m - 16. Let v be d(8). Suppose 2*k + v = -2*o, -2*k + 2*o + 153 = -3*k. Find the common denominator of 25/26 and 15/60 + k/(-44).
286
Suppose 4*o = 2*o - 4, 20 = 5*t - 5*o. Suppose 5*i - 3*l + 5 = 0, 1064*i + 2*l - 8 = 1065*i. Calculate the smallest common multiple of t and i.
2
Let a = -5116/11 + 465. Let q = 39758/29 + -33301690/24273. Let o = q - 54/31. What is the common denominator of o and a?
297
Suppose 5*q + 155 = -0*q. Let j be 8 + -14 - -2 - (-16)/(-1). Let f = j - q. Calculate the smallest common multiple of 10 and f.
110
Suppose 4768 = 15*f - 1712. What is the least common multiple of f and 1080?
2160
Let u = 755/8 - 2167/24. Calculate the common denominator of u and 6/(-9) + (-98)/48.
24
Calculate the common denominator of ((-14077)/(-616) + -23)/((-12)/(-7)) and 95/36.
3168
Let w = 6236 - 6224. What is the smallest common multiple of w and 3490?
20940
Suppose 2*w = 7*p - 2*p - 81, 2*p = -3*w - 150. Let v be 932/18 + (-22)/(-99). Let j = w + v. Calculate the lowest common multiple of j and 25.
100
Let g(j) = 4*j - 28. Let x be g(5). What is the common denominator of (x/32)/(84/592) and 16/27?
189
Suppose -18 - 4 = -2*i. Let v be 9/((-189)/70)*(1 + -28). Suppose v = 5*w - p, 4*w = -2*p - 0*p + 58. What is the least common multiple of w and i?
187
Let h be (-1)/((-60822)/(-12))*-3. Let x = -25078760/193 - -169458129869/1304294. Let b = x + h. Find the common denominator of -103/26 and b.
26
Let v be (-1 - 150/(-9))*1179. Let g = 5317 - v. Let d = 289309/22 + g. Find the common denominator of -85/12 and d.
132
Let m = -7409 + 7737. What is the lowest common multiple of 328 and m?
328
Let x = -15431 + 15719. What is the least common multiple of x and 344?
12384
Let g be (588/56)/(11/((-8701)/30)). Let q = -277 - g. Calculate the common denominator of q and 18/(-10)*(-5)/14.
140
Suppose -5*h = -2*h - 18. Let i be 0 + 3*(-8)/(-12). Suppose -i*y = -2 - 2. Calculate the least common multiple of y and h.
6
Suppose -3*k + 27 + 6 = 0. Suppose 3*n + 105 = 2*c + 20, 3*c = 4*n + 129. Let f = c + -39. Calculate the lowest common multiple of f and k.
88
Suppose z + 22 - 21 = -3*l, 3 = -l - z. Suppose -5*v - b = 2 - 10, -3*v + 4*b = 9. What is the least common multiple of l and -1 + 0/v + 8?
7
Let u be 2/(-5) + (-380)/50. What is the lowest common multiple of (2/3)/((-16)/(-7