 31 = 6*m. Let f(i) = -i**3 - 7*i**2 - 8*i - 8. Calculate the lowest common multiple of 2 and f(m).
4
Let h(p) = p**3 - 13*p**2 - 16*p + 25. Let c be h(14). Calculate the common denominator of (-441)/90*-5 - (c + 0) and 42/5.
10
Let l = 478 - 366. Calculate the lowest common multiple of 22 and l.
1232
Suppose z - 3*x = -4*z + 23, 1 = 3*z - 5*x. What is the smallest common multiple of 63 and z?
63
Calculate the common denominator of -52/63 and -3 - (-3 + 60)/((-462)/24).
693
Suppose 383*a - 382*a = 105. Calculate the lowest common multiple of 45 and a.
315
Suppose 37 - 9 = 4*m. What is the smallest common multiple of (-246)/(-328)*((-16)/(-18))/(20/150) and m?
35
Let k = -56 - -60. Suppose k*t + 4*p - 49 = p, 2*t + 3*p - 29 = 0. What is the smallest common multiple of t and 5?
10
Let u(t) = 2*t - 15. Let n be u(6). What is the lowest common multiple of (-50)/n - ((-21)/9 - -3) and 38?
304
What is the common denominator of -69/4 and ((-5)/144)/(2 + 660/(-225))?
672
Let f(r) = 16*r**3 + 5*r**2 - 4 + 9*r**3 - 26*r**3. Let l be f(5). Let y(o) = o**3 + 3*o**2 - 3*o + 6. Calculate the least common multiple of y(l) and 7.
14
Suppose 5*p + 31 = 131. Let s(g) = g**2 + 6*g + 10. Let c be s(-6). Calculate the lowest common multiple of ((-22)/c - -1)/((-33)/550) and p.
20
Suppose -m = 9*m - 440. What is the smallest common multiple of m and 12?
132
What is the common denominator of -17/166 and (-2638)/84 - (-28)/(-294)?
166
Let x be 2*5/13 - 0. Let q = 4/61 + -16791/3965. Let b = x + q. Find the common denominator of b and 11/10.
10
Suppose 0 = -17*g - 275 + 1193. Calculate the smallest common multiple of g and 63.
378
Let d = -319/80 - -4. What is the common denominator of d and -119/10?
80
Calculate the common denominator of (105/20 - 5) + (-970)/(-600) and -133/288.
1440
Let i(q) = -q**3 - 8*q**2 + 3*q + 27. Suppose 5*f = -2*u + 4*f + 21, 0 = 3*u - 4*f - 26. Calculate the smallest common multiple of u and i(-8).
30
Let u(r) = -2*r**2 - 106*r - 189. Let d(w) = w + 12. Calculate the smallest common multiple of d(-6) and u(-51).
30
Let p be 1 - (6013 - 3 - 1). Let j = p - -96063/16. Calculate the common denominator of 23/7 and j.
112
Suppose -4*w - 4*j - 16 = -2*w, 0 = 3*w + 5*j + 20. Suppose -6*a + 95 + 13 = w. Suppose 4*x - 7*x = -12. What is the least common multiple of a and x?
36
Suppose 0 = -3*b - 3*g + 30 + 6, 3*g + 12 = 0. Let a = 81 + -37. What is the smallest common multiple of a and b?
176
Let z be (-2 + 603/(-120))/(3/(-6)). Let n = z + -14. What is the common denominator of n and -27/35?
140
What is the common denominator of -53/55 and (-1614)/(-945) - 1 - (-2)/(-7)?
495
Let l(f) = 3*f**3 + 1. Let h be l(1). Suppose -h*u + 67 - 23 = 0. What is the least common multiple of u and 22?
22
Suppose -2 = -3*s - 5. What is the common denominator of -3 + (-2)/(16/(-103)) and (-154)/4 - s/(-1)?
8
Let u = 343 + -283. Let y = 4 - -14. Calculate the lowest common multiple of y and u.
180
Suppose 4*t + 3*i + 23 = 0, 4*t + 15 + 2 = -5*i. Let j be (0 + -34)/(6 + t). Suppose -j*l + 12*l = -90. Calculate the smallest common multiple of 22 and l.
198
Let t be (4/(-12))/((-2)/(-6)). Calculate the least common multiple of ((-1 - t) + 9)/((-51)/(-170)) and 6.
30
Let o(h) = -74*h - 4. Let w be o(-3). Find the common denominator of (770/95 - 8) + (-4054)/(-836) and (2/(-20))/((-2)/w).
110
Suppose -38 = -2*j - 2*k - 3*k, j - 4*k = -7. Calculate the least common multiple of j and 51.
153
Let p = 8/6811 - -278867/326928. Find the common denominator of -27/22 and p.
528
Suppose m - 7*m = 6. What is the common denominator of 295/(-15) - m/2 and -95/8?
24
What is the common denominator of -38/33 and (-165)/81 + 7/(-42)?
594
Let c(p) = -p**3 - 37*p**2 - 32*p + 149. What is the least common multiple of 3*(-1)/2*-2 and c(-36)?
15
Let a(z) = -z**2 + 14*z - 30. What is the lowest common multiple of a(9) and 39?
195
Let g = 170/297 - -10/11. Let r = -4635 + 111199/24. Find the common denominator of r and g.
216
Suppose f = -7*p + 2*p + 100, 0 = -3*f - 15. Let q be (-44)/p + 9/21. Let w = 13/12 - q. What is the common denominator of w and 51/2?
4
Suppose 4*o + 4*t - 7 = -51, 2*o = 2*t - 42. What is the common denominator of 1/(-4) - 55/o and 79/22?
176
Let c be (-4)/16 + 1878/88. Let x = 3433/132 - c. Calculate the common denominator of -119/6 and x.
12
Let l(h) = 84*h + 128. Calculate the least common multiple of 14 and l(23).
14420
Let k(r) = r**3 - 7*r**2 + 3*r + 7. Let b be k(6). Let a(y) = 4*y - 16. Let j be a(b). Find the common denominator of 4/(-10) - 153/j and 61/14.
140
Let s be (-4)/24*90/148. Let d = -101249171/2220 - -136801/3. Let t = s - d. What is the common denominator of 59/16 and t?
80
What is the common denominator of (-1886)/1116 + 0 - 12/(-54) and 13/11?
682
Let b(n) = -n**3 + 5*n**2 + 9*n - 34. What is the smallest common multiple of 55 and b(5)?
55
What is the smallest common multiple of 1/(-5) - 2002/(-110) and 12?
36
Let t be ((-20)/(-4))/(6/(-254)). Let z = 1349/6 + t. Let g = -115075/18 - -6391. Find the common denominator of z and g.
18
Calculate the common denominator of ((-6)/(-28))/(6/206) and 116/319 + (2154/308)/1.
14
Let g = -11 - -67. Suppose 3*q - g = -q. Suppose 0 = -2*p - 2*l + 46, p - 2*p + 26 = -2*l. Calculate the least common multiple of q and p.
168
Let g = 6126/13 + -391609/832. Calculate the common denominator of g and -53/18.
576
Let p = 63 - 30. Suppose 0*z + 2*z = 2*v - 58, v - 3*z - p = 0. Calculate the least common multiple of v and 63.
189
Calculate the common denominator of (((-6)/(-62))/3)/2 and (-6975)/124*(-3)/(18 - 0).
248
Let q(p) be the third derivative of -p**4/24 + 3*p**3/2 - p**2. Let a(v) = 2*v + 6. Let c be a(-3). Calculate the lowest common multiple of 4 and q(c).
36
Let g = 12038/99 - 1078/9. Calculate the common denominator of g and (-318)/48*1/(-2).
176
What is the common denominator of -1*(2 - (-57)/6) and (-37)/(-12) + 6 + -2?
12
Let m = -32 + 56. Calculate the least common multiple of m and 60.
120
Let a = -24 + 26. Suppose -36 = -a*o + 4*f, 3*f = -f - 8. Calculate the lowest common multiple of 4 and o.
28
Suppose 0*l = -l + 1. Calculate the smallest common multiple of (-18)/6 - -4 - (l + -33) and 30.
330
Let m = -198065/18 - -11009. Let x = -18 - -16. Calculate the common denominator of (-376)/32 + -6*1/x and m.
36
Suppose 4*c + o = 14, c + o = -3*o - 4. Let j = 152 + -106. Suppose 5*a - j = c. What is the least common multiple of a and 13?
130
Calculate the common denominator of 49/156 and ((-1)/6)/(14*(-2)/(-378)).
156
Let n = -2955 - -47319/16. What is the common denominator of n and -131/96?
96
Let m = 4939/810 - -1/405. Find the common denominator of -10*10/(-25) + (-963)/72 and m.
40
What is the smallest common multiple of (-286)/(-14) - -18*8/(-336) and 196?
980
Find the common denominator of 0 - (2 + (-25)/20) and 37/84.
84
Let m be 1*-9 - (2 - 3). What is the common denominator of (-41)/96 + m/12 and ((-3)/(-72))/(2/260)?
96
Suppose -v = -k - 4*v - 444, 5*k + 2220 = -5*v. Let l = 2622 + k. Let q = l - 15222/7. Find the common denominator of -119/6 and q.
42
Let l(d) = 205*d**2 + 7*d + 15. Let x be l(9). Let r = -233679/14 + x. What is the common denominator of r and (-6)/(-3)*(-87)/(-28)?
14
What is the common denominator of 35/4 and (3/99)/(592/(-2256))?
1628
Let f = 3 - -1. Let n = -523 - -543. What is the least common multiple of f and n?
20
Let u(y) = -2*y - 35. Calculate the least common multiple of 10 and u(-23).
110
Calculate the common denominator of 113/10 and (24/(-40))/(1 - 261/285).
40
Let l = 8593/9 - 953. What is the common denominator of -62/159 and l?
477
Let q = 40 - -19. Let s be 5 - 8 - q/(-88). Let k = 9/88 + s. What is the common denominator of k and 97/2?
22
Let v be (-6 + 2)*1/4. Let d be (-1)/v*(-16 - 12). What is the common denominator of (-13)/d - 2/8 and -145/36?
252
What is the lowest common multiple of 48 and ((-112)/(-21))/(-2)*-6?
48
Let x(p) = -p**3 - 37*p**2 - 133*p + 5. What is the lowest common multiple of x(-4) and ((-71)/(-4))/((-1)/(-4))?
639
Find the common denominator of (-2)/(-24)*140/(-3) and 182/(-12) + 30/45*3.
18
Suppose -17*q + 592 = 20*q. Calculate the least common multiple of q and 2.
16
Suppose -l = 2*n + 1124, -n - 2*n - 2*l - 1687 = 0. Calculate 