et v be b(-23). Find the common denominator of (111/(-9))/(196/18) and 2/(-7) - (2 - v/(-42)).
98
Suppose -20*n + 203 = -57. Suppose -51 = -n*i + 53. What is the lowest common multiple of 14 and i?
56
Calculate the common denominator of (-11)/((-44)/(-12)) + (-7190)/(-2400) and -71/6.
240
Suppose -4*t + 272 = -2*p, 3*t + 0*t - 5*p = 218. Suppose 2*r - 21 - 11 = 0. What is the lowest common multiple of r and 48/(-9)*t/(-8)?
176
Let h be (-1 - -1) + -2 + 6 + -1. Suppose d + 3*k = 94, -h*d = 3*k - 98 - 166. What is the smallest common multiple of 5 and d?
85
Let l(m) = -26*m - 26. Let i be l(-8). Let y = i + -377/2. Let k = -2107/2 + 1080. Calculate the common denominator of k and y.
2
Suppose -2*g - 2 = -4*s + 28, 5*s - 33 = g. Let r be 42 - (6/(-5))/((-21)/70). Calculate the lowest common multiple of 1 and (-13)/39 + r/s.
6
Let o = -5/9 - 341/18. Let v = 787779/80 + -9846. Find the common denominator of o and v.
80
Let c = 10/15521 - 1141933/13813690. What is the common denominator of -157/2670 and c?
2670
Let j be -4 - (-4 + (-61724)/17996). Let w = -17/818 + j. Find the common denominator of 103/62 and w.
682
Suppose 0 = 5*s + 9 - 19. Suppose 0 = -4*b + b - 5*x - 6, b = -x. Suppose -b*a - 22 = -5*a. Calculate the least common multiple of s and a.
22
Suppose k - 260 = -4*i + 6*k, 0 = -4*i + 3*k + 268. Suppose i*x - 75*x = -90. What is the lowest common multiple of x and 36?
36
Let m(i) = 4*i**2 + 8*i + 6. Let d(f) = 7*f**2 + 15*f + 11. Let s(q) = -6*d(q) + 11*m(q). What is the lowest common multiple of s(6) and 12?
60
Calculate the smallest common multiple of 568 and -5*13656/(-48) + 10/(-4).
2840
Let c = -56315/32 + 3871677/2200. Calculate the common denominator of c and 37/4400.
8800
Let s = 249 + -135. Suppose s = 5*d - 6. What is the common denominator of 133/20 + d/32 and 9/10?
10
Suppose 4*k + 324 - 92 = -v, -2*v - 8 = 0. Let q be -4*1 - (k + -1). Find the common denominator of -125/12 and (-1)/((-3)/(-6)) - 24/q.
36
Let x = -46717427/205 - -227888. Let k be 3/12*(-88)/123. Let l = k + x. Find the common denominator of l and 17/12.
60
Let k = 4124 + -470161/114. Find the common denominator of k and -47/418.
1254
What is the smallest common multiple of 6 + (11 - 19 - -26) and 59/4 + 2/8?
120
Let v = -56 + 74. Calculate the common denominator of ((-3)/v - 0)/(34/143) and -41/10.
1020
Suppose -z - 1 = 2*r + 10, z - 1 = 4*r. Calculate the smallest common multiple of (z/(-14))/(2 + 46/(-24)) and 4.
12
Let n be ((-64)/6)/(-2)*675/100. Calculate the common denominator of 59/4 and 74/(5*n/(-30)).
12
Let v(l) = -l**2 - 3*l + 1. Let y be v(-10). Let z = y + 71. Suppose 2*a + 3*a = z*t + 34, 7 = -a + 5*t. What is the least common multiple of 4 and a?
8
Let f = -817989/77 + 10624. What is the common denominator of ((-13)/(-5) + -3)*(-8930)/3192 and f?
462
Calculate the smallest common multiple of ((-37)/74)/(1/(-162)) and 90.
810
Let a be -8*((-6)/(192/44) - -1). Suppose a*z = y - 22, 5*y - 3*z - 58 = 28. Calculate the lowest common multiple of 40 and y.
80
Let n be (5/2)/((-1017)/(-108) + -9). What is the smallest common multiple of 60 and -7 - (624 - n)/(-6)?
480
Let w(g) = 16*g**2 + 19*g - 12. Let b be w(-4). What is the common denominator of 27/2 and ((-1)/13)/(b/(-4060))?
78
Let p be ((-9)/(-108))/((-2)/132548). Let a = 5499 + p. Find the common denominator of (-3)/9 + (-782)/(-780) and a.
390
Suppose -89 = 4*s - 353. Suppose 46 = 4*o - s. What is the lowest common multiple of 28 and o?
28
Let y be 1*((-4)/(-1))/(-4). Suppose 0 = -6*b + 38 - 164. Find the common denominator of (-1966)/(-180) - (b/27 - y) and 44/3.
30
What is the common denominator of 12/18 - (-1316)/(-264) and 2 + -1 - ((-3239)/828 + 5)?
9108
Let f(t) = 2*t**2 - 40*t - 2. Let u = 1188 - 1184. What is the lowest common multiple of u and f(21)?
40
Let f = -4/3 + 7. Let y = -15199 + 45143/3. Let t = y - -297/2. Find the common denominator of f and t.
6
Let n = -18 + 20. Let j be (-7345)/(-10) + 3/n. Suppose 11*z - 3*z = j. Calculate the least common multiple of z and 4.
92
Let h be (-10)/(-31645)*9/(-6). Let w = h - 297199/556952. What is the common denominator of w and 17/77?
616
Let d = 8874281/105 + -84516. Let m = 27 + -23/4. Find the common denominator of m and d.
420
Calculate the common denominator of -17/2 and (-135)/4764*1419/8385.
20644
Calculate the common denominator of 143/42 and 0/(-33) - 4/((-64)/30).
168
Suppose -3*u - 4*r = -3788, -5*u - 14*r = -12*r - 6332. Calculate the least common multiple of 634 and u.
1268
Let n(q) = -79*q + 50. What is the least common multiple of 350 and n(0)?
350
Let u = 1740/91 - 2005481/104832. What is the common denominator of -69/16 and u?
1152
Let g = -25 - 80. Let p = g + 1295/12. What is the common denominator of p and (2704/8736)/(3/(-12))*(-54)/(-16)?
84
What is the common denominator of (2/(-12))/((-2)/63) and ((-231)/(-15))/(144/(-45))?
16
What is the common denominator of (-2)/7 - (-328)/(-126) and (-8 - 253/(-184))/(-1 - -19)?
144
Let s = 21/34891 + -2696477/16398770. Calculate the common denominator of s and -71/423.
4230
Let j(k) = -k - 8. Let g be j(6). Let v = 23 + g. Suppose -3*o + 4*a + 37 = 0, -5*a - 47 = -5*o - 2*a. What is the lowest common multiple of o and v?
63
Let f = 20505/11638 + 150/529. What is the common denominator of (-2)/8 - (-18)/16 and f?
88
Let n = 2955 + -2933. What is the smallest common multiple of 666 and n?
7326
Let i be (-11)/((-33)/(-12)) + 8. Suppose i*s - 876 = -2*r, s = -4*r + 2*s + 1797. What is the lowest common multiple of 4 and r?
448
Let n = -13/3413 + 5256059/10239. Let k = -12035/24 + n. Find the common denominator of 121/6 and k.
24
Let u(f) = 292*f - 1728. Calculate the least common multiple of u(6) and 84.
168
Suppose -2 = 2*o - 8. Suppose 0 = 7*v - o*v + 84. Let b = v - -39. Calculate the smallest common multiple of 8 and b.
72
Let a = -2/715 + 13593/2860. Let y be ((-48215)/11550 - -4) + 1/6. Let f = y + 29657/1540. What is the common denominator of a and f?
4
Let a be (2/(0 + 2))/(140/(-55300)). Let m = a + 403. What is the smallest common multiple of m and 14?
56
Suppose 557 + 463 = 34*u. Let r be 65/15 - (-1)/(-3). Suppose 2*n = -2*q + 50, 2*n - r*q = n + 35. What is the least common multiple of u and n?
270
Let n(q) = 25*q - 250. Let x be n(10). Calculate the common denominator of 97/88 and -8 - (-9 + x) - (-5)/22.
88
Let d = 13465 + -296333/22. Calculate the common denominator of 9/98 and d.
1078
Suppose 0 = 110*j - 91 - 1152 - 517. Suppose -5*q + 68 = -52. What is the smallest common multiple of j and q?
48
Suppose -15*k + 22 + 23 = 0. Suppose 3*u = 2*i - 140, k*u - u + 70 = i. Calculate the least common multiple of i and 21.
210
Let i = 25144 + -50353/2. Calculate the common denominator of 53/74 and i.
74
Calculate the smallest common multiple of 10 + 29/((-29)/(-446)) and 69.
10488
Suppose 468 = 45*t - 207. Calculate the least common multiple of t and 288.
1440
What is the smallest common multiple of ((-308)/(-385))/(2 + 59/(-30)) and 12?
24
Let z(p) = 2*p**2 + 82*p + 165. Calculate the least common multiple of 486 and z(-47).
1458
Let j = 12840 + -898817/70. Find the common denominator of j and -31/165.
2310
Let z = 1201/11 + -25219/220. Find the common denominator of z and (20 + -94 + 23)*(-1)/(-148).
740
Suppose 0 = -367*j - 32020 + 386542. What is the smallest common multiple of 598 and j?
12558
Suppose 46*j = 49*j - 6. Suppose -9*p - 86 = -j*o - 8*p, -5*p = -o + 34. What is the lowest common multiple of 4 and o?
44
Let s(p) = 33 - p + 68 + 10*p. Let k(l) = -l**3 - 5*l**2 - 4*l + 4. What is the lowest common multiple of k(-4) and s(-11)?
4
Let v(u) = u + 17. Let a(o) = o**2 - 89*o - 172. What is the least common multiple of a(91) and v(-4)?
130
Let d(f) = 9*f**3 + 6*f**2 + f - 21. Let u be d(-6). Find the common denominator of -7/20 and 4/(-26) - ((-1524)/u + 1).
180
Let l = -624125975/632 - -987542. Let d = l + -2/79. Let m = 9294/5 - 1847. Find the common denominator of m and d.
40
Calculate the common denominator of 139/24 and ((-5)/273)/((26/(-1326))/((-14)/(-36))).
936
Let z = 18039/34036 - 237/268. Calculate the common denominator of z and -22/1143.
1143
Let b(l) = l**2 + 8*l + 4. Suppose -2*f + 5*v = -124, 2*f - 88 = v - 5*v. Calculate the lowest common mul