*w = 5*q - 11, -5*q + 2*w + w - 17 = 0. Calculate the smallest common multiple of 10 and 10/((-4)/(-2)) + q.
20
Let v be (10/2)/(1/4). What is the common denominator of 53/18 and (-102)/v*(-30)/(-144)?
144
Let o = -15193/6 + 2508. Calculate the common denominator of 71/92 and o.
276
Let u = 18 - 20. Find the common denominator of u/4 - 154/(-40) and (-86)/(-36) + (1 - 1).
180
Let p(c) = c**3 - 15*c**2 - 14*c - 2. Calculate the least common multiple of p(16) and 18.
90
Let j = -1608 + 1797. Calculate the lowest common multiple of 28 and j.
756
Suppose 3511 - 16786 = -59*w. What is the lowest common multiple of 270 and w?
1350
Let r(v) = 10*v**2 - 3*v - 3. Suppose 3 = 5*w + 23. What is the least common multiple of w/(-3)*21/2 and r(-1)?
70
Let v = 5221 + -7770. Let n = v - -10125/4. Let q = 36 + -16. Find the common denominator of n and q.
4
Let k be 3*271/3 + 4 + -3. Suppose h - k = -7*h. Suppose -2*s + 20 = -0*s. What is the lowest common multiple of h and s?
170
Let v(q) = q**3 - 8*q**2 + 13*q + 4. Let i(u) = -u**3 - 2*u**2 + u - 1. Let w be i(-3). Let j = w - -1. What is the least common multiple of v(6) and j?
30
Suppose 4*g + g - 80 = 0. Suppose 0*n + n = g. Let c(b) = 4*b**2 + 51*b + 3. What is the least common multiple of c(-13) and n?
16
Find the common denominator of -83/18 and 2537/(-645) + (-5)/6.
90
Let k be -3 - 1*(0 + -6). Suppose 0 = -3*i - k*i + 192. What is the least common multiple of i and 6?
96
What is the common denominator of -49/390 and (0 + (-378)/280)/((-4)/(-30))?
1560
Let a be (30/(-25))/(-2) + (-98496)/10. Let j = a - -206768/21. What is the common denominator of -127/6 and j?
42
Let n = -383/7 + 129/14. Suppose 3 = v, o + 3*v + 2*v - 18 = 0. What is the common denominator of (-15)/(-6) - (o - 0) and n?
2
Let w = -288170551838/1839 + 156699605. Let c = -3/1226 - w. Let g = -399/5 + 7057/90. Calculate the common denominator of g and c.
18
Let t = -9392768/141 - -66615. Calculate the common denominator of t and -127/150.
7050
Let t(m) = m**2 + 33*m - 850. Calculate the lowest common multiple of t(-54) and 6.
852
Suppose 0 = -3*s + 60 + 27. Let q = s - 48. Let d = q - -35. Calculate the lowest common multiple of d and 4.
16
Calculate the common denominator of 3/(-6) + -5 + (-379)/(-65) and -54/143.
1430
Suppose 0 = -4*z + t + 204, 5*z + 5*t - 280 = -0*z. Calculate the least common multiple of 2 and z.
52
Let z(a) = 8 - 13*a**3 - 5*a**2 + 12*a**3 - 2*a - a**2 - 5*a. Calculate the lowest common multiple of 12 and z(-7).
636
Suppose 7 = 2*y + 61. Let q = y - -31. Calculate the least common multiple of q and 14.
28
Find the common denominator of 2 + (84/798 - (-3580)/(-798)) and 12 + (-2 - 0)/4.
42
Suppose 792 = 2*s - 18*z + 15*z, z - 401 = -s. Calculate the least common multiple of s and 5.
1995
Suppose -3*n - 18*a + 17*a + 58 = 0, 4*n = -2*a + 76. Let k = -34 + 100. What is the smallest common multiple of k and n?
660
Find the common denominator of ((-9765)/(-2590))/(-1*3) and 3/8.
296
Let y = 601/8 - 15907/216. Calculate the common denominator of y and ((-6)/16)/(-1) + 12128/(-2304).
27
Let d(i) = i**2 + 12*i - 8. Let p be d(-13). Suppose 2*r - 32 = -5*n, 0 = -p*n + 11 - 31. Calculate the lowest common multiple of 2*1 + -2 + 12 and r.
156
Let b = 917/18 - -1601/9. Let d = b - 225. What is the common denominator of 121/56 - -5 - (-4)/(-14) and d?
24
Suppose 202 = -6*w + 238. Let y be 5/(-2) + 1/(-2). Let l(s) = -3*s + 3. Calculate the smallest common multiple of w and l(y).
12
Suppose 4*p + 3*y = 25, 2*p + 3*y = -3*p + 35. Let g(z) = z - 4. Let c(v) = -v + 18. What is the lowest common multiple of c(0) and g(p)?
18
Let t = 31 + -35. Find the common denominator of 31/6 and t/(-6) + 435/(-72).
24
Let c be (1 - -365272)*(-3)/(-546). Let n = -1104/13 + c. Let x = n + -1925. Calculate the common denominator of x and 79/8.
56
Suppose -2*v + 0*v - 130 = 0. Let h = 98 + v. Suppose h = 5*f - 2*f. Calculate the smallest common multiple of f and 6.
66
Find the common denominator of (-50 - 1)/(200/(-10)) and 173/420.
420
Suppose -44 = 5*m - 169. Let g = m - 15. What is the lowest common multiple of g and 7?
70
Suppose -3*m + 71 = 5*c, 4*c - 26 - 23 = -5*m. Calculate the least common multiple of c and 16.
16
Let s be (-2)/(-16)*(-78332)/310. Let t be (-12)/(-18)*1671/31. Let q = s + t. Find the common denominator of 11/20 and q.
20
Let u(p) = -4*p - 34. Suppose a + 3*a = -3*z - 30, -3*z = a + 3. Calculate the smallest common multiple of u(a) and 1*(-2)/2 + 4.
6
Let b be 6/(2/8*-6). Let f = 16/267 + -24553/4272. Calculate the common denominator of ((-34)/(-8))/(b/(-10)) and f.
16
Let b be (2/(-4))/((8/(-47002))/1). Let f = b + -2944. Calculate the common denominator of -16/7 and f.
56
Let m be 28/(-6)*(-54)/7. Find the common denominator of 2 and (-47)/5*18/m.
10
What is the least common multiple of 41 and 1 + (-4)/(-1) - (48 + -48)?
205
Let q(u) = -u**3 - 12*u**2 + 2. Let c be q(-12). Suppose -8 = -5*l + c. What is the lowest common multiple of l and 1?
2
Suppose 26*i = 15*i + 198. What is the smallest common multiple of i and 8?
72
Let n(j) = 13*j**2 + 25*j - 9. Calculate the lowest common multiple of 6 and n(-3).
66
Suppose 763 = 4*r - 589. Let z = -659/2 + r. Find the common denominator of z and (-65)/2 + 7 + -7.
2
Let r = 5317/90 - 284/5. Find the common denominator of 45/338 and r.
3042
Let v = 386489/65198 - -3/4657. Calculate the common denominator of v and -25/16.
112
Suppose 23*d = 3425 + 1543. What is the least common multiple of 240 and d?
2160
Calculate the common denominator of -71/212 and (-1)/2 - (-4 + (-39)/(-20)).
1060
What is the common denominator of -65/24 and ((-14)/28)/(2/37)?
24
Find the common denominator of (558/(-36))/(1 - -16) and 101/30.
510
Let r = 200951/3 + -65810. Let s(a) = -238*a + 2. Let l be s(-5). Let q = l - r. What is the common denominator of 22/3 and q?
3
What is the common denominator of -27/4 and -48 - -51 - 1577/540?
540
Suppose 2*m + 297 - 2425 = 4*n, 3*m = -3*n + 3147. Let j = 994704 + -20866606/21. Let r = j - m. Calculate the common denominator of r and -93/8.
168
Suppose 3*w - 2*p = 32, -53*w - p + 12 = -51*w. Let c = 8 + -6. Calculate the lowest common multiple of (-3)/(-6)*(c - -22) and w.
24
Let c be 91/49 - (-2)/14. Calculate the common denominator of (130/(-12) - -4)/c and (-226)/(-30) + (-4)/(-6).
60
Let b = 554 + -1639/3. Let p = -533 - -1613/3. Find the common denominator of b and p.
3
Let o(p) = p**3 + 4*p**2 - 8*p - 9. Let z be o(-5). Calculate the least common multiple of 33/5 + 4/10 and 55/(-15)*z/(-2).
77
Let g = 5 - 0. Suppose -g*v + 2*m - 185 = 0, 122 - 12 = -3*v + m. Let p = 49 + v. Calculate the smallest common multiple of p and 4.
28
Let k be (-1 - 0)*(-1 - 5). Suppose -k*d = -d - 50. Calculate the lowest common multiple of 10 and d.
10
Let n(l) be the third derivative of -l**6/8 + l**3/6 + 3*l**2. Calculate the lowest common multiple of 8 and n(-1).
16
Suppose 4 = 3*s - s, -2*s = -5*b + 156. What is the lowest common multiple of b/15 - (-4)/(-30) and 8?
8
Let b = -4037/1050 + 2/175. Find the common denominator of ((-138)/(-8))/(((-3135)/(-10))/(-11)) and b.
114
Suppose -4*i + k + 985 - 144 = 0, 0 = 4*i + 4*k - 836. What is the lowest common multiple of i and 16?
1680
Let l = -730/19 - -6955/228. Let r = -38/49 + -295/98. Find the common denominator of r and l.
84
Let l = -18796 + 977427/52. What is the common denominator of -89/30 and l?
780
Suppose 288 = g + 5*g. What is the smallest common multiple of 66 and g?
528
What is the common denominator of 1 + 81/(-69) + 1 and 7/10?
230
Let i be (12/(-9))/((-4)/6). Suppose i*x + m - 8 - 3 = 0, 0 = -5*x + 5*m + 50. Suppose -64*w + 67*w - 21 = 0. What is the smallest common multiple of w and x?
7
Find the common denominator of (-1 - (-12)/14) + 12/(-32) and 58/35.
280
Suppose 0*z + 13*z = 546. What is the smallest common multiple of z and 123?
1722
Calculate the common denominator of 109/88 and (5291/(-444))/((1 - 2)*6).
792
Let p = 12554/11 - 1144. Calculate the common denominator of -74/3 and p.
33
Let o = -911563824844043/1104048 - -13210495545/16. Let m = -2/6273 + o. What is the common denominator of 7/18 and m?
198
Let z(h) = -h**2 - h + 1. Let r(i) = 6*i**2 + 4*i - 9. Let v(m) = r(m) + 5*z(m). Suppose -3*l + 28 = 