8 + 7/468. Let o = -11825/24 + 12569/6. Let p = 1600 - o. Calculate the common denominator of p and r.
24
Let b be (-12)/(-18)*(18/4 - 0). Suppose -b*n + 65 = -1. Suppose -8*i + 3*i = -70. Calculate the lowest common multiple of n and i.
154
Let l = -1271 + 1503. Calculate the lowest common multiple of 10 and l.
1160
Find the common denominator of -5/87 and (2/60)/(248/(-17515)).
1392
Let z = -27 - -29. Let g be z + (-2 - (-2 + 2)). Suppose -3*i + i + 36 = g. What is the least common multiple of i and 8?
72
Let x be (-16)/(-6)*(-9)/(-2). Suppose -x = -2*v - 2*d, 4*v - 4*d = -0*v + 40. What is the lowest common multiple of v and ((-320)/100)/(2/(-5))?
8
Suppose -5*l + 8 = -0*j - 2*j, 3 = -5*j + 4*l. Suppose 2*q - 20 = 4*q. Let r = j - q. Calculate the smallest common multiple of 3 and r.
33
Let d = -8/9 + 148/45. Calculate the common denominator of (-34)/(-4)*(1 - -1) and d.
5
Suppose 3 - 11 = -4*l. Suppose -4*v + 4*i = 32, -l*v - i - 9 = 4*i. Let y = 11 + v. What is the least common multiple of 12 and y?
12
Let u = 46 + -27. Let o = u - -2. What is the smallest common multiple of 15 and o?
105
Suppose -58*z = -60*z + q + 141, 0 = -q - 5. What is the smallest common multiple of z and 192?
3264
Let n(x) = x**3 + 3*x**2 - 4*x + 3. Calculate the lowest common multiple of n(-4) and 60/9*171/285.
12
Let t = -203/99 - -5767/3762. What is the common denominator of -2/19 and t?
114
Let f be 15676/(-2)*(20/(-8))/(-5). Let k = f + 94127/24. What is the common denominator of k and 17/6?
24
Suppose 2*w + 11 = i, -i = 3*i + w - 26. Suppose 0 = -4*m + 3*y + 39, 11*m - 14*m - 3*y + 45 = 0. Calculate the smallest common multiple of i and m.
84
Let a be (2/12284)/(-3 + (-52)/(-16)). Let d = a - -165824/15355. Calculate the common denominator of d and (-2)/6 - (-49)/12.
20
Let p(r) be the second derivative of -r**3/3 - 21*r**2/2 - 9*r. What is the smallest common multiple of p(-14) and 2?
14
Let d = -97 - -274/3. Calculate the common denominator of d and ((-2)/3)/((-112)/(-966)).
12
Suppose -41*x + 444 = -4*x. Calculate the least common multiple of x and 6.
12
Let y be (2/5)/(2/(-610)). Let q be 20/144*(-1 + y). Let r = -77/6 - q. Calculate the common denominator of 107/10 and r.
20
Let k(v) = -v + 55. What is the smallest common multiple of k(35) and 2?
20
Let v = 151/17 - 7/85. Calculate the common denominator of 39/10 and v.
10
Suppose 2*r = x - 0*x - 13, 4*x + 8 = -4*r. Suppose 43 = x*s + 13. Calculate the lowest common multiple of 8 and s.
40
What is the common denominator of (-9)/(31752/(-1112))*(-1)/2 and 97/14?
882
Suppose 0 = -16*i + 20*i - 120. What is the smallest common multiple of 102 and i?
510
Let f = 26835/16 + -1678. What is the common denominator of ((-404)/140)/((-2)/5) and f?
112
Suppose -3*l + 14 + 10 = 0. Let b(v) = -2*v**2 + 8*v - 2. Let p be b(3). Let n = l - p. What is the smallest common multiple of 4 and n?
4
Suppose -4*g - 5 = -3*z - 18, -g + 5 = z. Let q = 1135 + -1128. Calculate the lowest common multiple of q and z.
7
Calculate the common denominator of 6/(-396)*-11 + 293/420 and -37/80.
560
Let d(s) = 48*s - 9. What is the lowest common multiple of d(3) and 18?
270
Suppose 4*w - 2*c = 574, 2*w + c = -2*w + 571. Let n = w + -77. Calculate the lowest common multiple of 8 and n.
264
Suppose -256*u = -255*u + 10489. Let l = -209713/20 - u. Calculate the common denominator of l and -107/44.
220
Find the common denominator of (-5429)/(-2268) + -2 + (-8)/28 and -85/22.
3564
Let d = 26383/8 - 3293. Find the common denominator of d and -1 - ((-10)/16)/(-1).
8
Suppose 62 = 4*p + 54. What is the least common multiple of 9 and p?
18
What is the smallest common multiple of 1 + 2/3*72/16 and 74?
148
Suppose 3*s = -s + 16. Suppose -v + 15 = s*v. Suppose 7*k = v*k + 40. Calculate the lowest common multiple of 4 and k.
20
Let z(w) = -w**3 + 9*w**2 + 15*w - 5. Let u be (112/(-42))/(4/298). Let g = u + 195. Calculate the common denominator of g and z(10).
3
Calculate the smallest common multiple of 6 and (-5930)/(-16) - (-2 + 13/8).
2226
Let k = 1685/21 - 1054/7. Let i = k + 69. Calculate the common denominator of i and (1 + 22/(-8))*136/12.
6
Let k = -3476692/117 - -29715. What is the common denominator of 9/104 and k?
936
Calculate the common denominator of 1/(-2) + 5642/1240 and 97/270.
540
Suppose -11*i + 9 = -8*i. Suppose -b + 3 - 6 = -i*f, -b = -3. Suppose -2*h + f + 28 = 2*o, 27 = h - 3*o. What is the smallest common multiple of h and 14?
126
Let s be (-2)/(-4)*4 - -7. Let l = 9 - s. Let d(f) = -f**2 + 30. Calculate the least common multiple of d(l) and 6.
30
Let i = 4125353071/1980 - 18751498/9. Let y = -5878 - -1293151/220. Let f = i + y. Calculate the common denominator of 71/6 and f.
6
Suppose -w + 2*r + r = 0, -2*w - 11 = 5*r. Calculate the common denominator of (0 + (-21)/14)*121/15 and w/(-2) - (-553)/(-154).
110
Let m = 284 - 254. What is the least common multiple of 24 and m?
120
Suppose -5*o + 1172 = 7*z - 3*z, 4*o = z - 272. Calculate the lowest common multiple of z and 22.
3168
Suppose -7*d = 25 - 95. Let q = -7 - -19. What is the least common multiple of q and d?
60
Let f = 10387 - 145533/14. What is the common denominator of (-58)/(-13)*(-1)/4 and f?
182
What is the common denominator of 43/16 and 1 - 705/14 - (-2)/(-14)?
16
Suppose 0 = -3*y + 15, 5*u - 3*u + 5*y = 97. Calculate the least common multiple of 44 and u.
396
Let r be -3 + (-5)/(5/(-7)). Suppose 0 = -4*m + 3*m + r. Suppose 4*z - 24 = -4*p, -4*z + 4*p - p + 45 = 0. What is the lowest common multiple of m and z?
36
Let i = 7947/4690 + 88/335. Calculate the common denominator of 53/100 and i.
700
Suppose 4*x - 9 = -3*t, -5*t + 6 = 5*x - 4. What is the common denominator of 79/15 and -2 + t - 340/(-126)?
315
Suppose -n + 14 = -3*f + f, n + 49 = -5*f. Suppose -37 = -2*t + 7. What is the lowest common multiple of t and (-114)/f + 4/(-6)?
132
Let k = 4 - -10. Let y(q) = -q**3 + 6*q**2 - q + 12. Calculate the lowest common multiple of y(6) and k.
42
Calculate the common denominator of -3*212/(-480) - (-12)/(-48) and 11/174.
3480
Let u = -3578 + 21571/6. Find the common denominator of u and 1880/32*6/(-105).
42
What is the lowest common multiple of 586 - ((-6 - 0) + 2) and 14?
4130
Let f = 629 + -1934/3. Find the common denominator of f and 1/(26/46 - 2).
33
Let c be (-24)/2 - (-12)/(-16)*4. Let f = -26265/8 + 3278. What is the common denominator of c/384*30 + 1 + -1 and f?
64
Suppose -z - 3*s = -189, 0 = -21*z + 24*z + 5*s - 551. What is the lowest common multiple of 15 and z?
885
Let a = 2129/4 - 525. Calculate the common denominator of a and (-52)/130 - (-1 + (-969)/135).
36
Suppose 3*x = 4*t + 20, -x + 3*t = 4*x - 48. Calculate the lowest common multiple of 132 and x.
132
What is the smallest common multiple of (0 - -27)/((-3)/(-2)) and (8/(-18))/(71/(-2556))?
144
Let v(p) = 12. Let c(n) = n - 13. Let f(j) = -j - 12. Let b be f(-6). Let d(g) = b*v(g) - 5*c(g). What is the lowest common multiple of 2 and d(-5)?
18
Let k = 61615/9 - 6839. Let z = 9 - 22. Calculate the common denominator of (z/(-12))/(4/16) and k.
9
Suppose -3*x - 2*f + 5*f = -3, -3*x - 2 = -2*f. What is the least common multiple of 4 and (x/3)/(1/(-3))?
4
Suppose -2*t + 4*l - 2852 = 0, -4*t - 7144 = t + 4*l. Let o be ((-143)/(-65))/(6/(-3975)). Let h = o - t. Find the common denominator of -63/5 and h.
10
Let z(u) = -u**3 + 17*u**2 + 20*u + 5. What is the common denominator of z(18) and 47/11?
11
Let i = 9 - -13. Suppose -50 - i = -2*j. Let b = j - 24. What is the smallest common multiple of 2 and b?
12
Let x(g) = -g**3 + 8*g**2 + 2. Let q be x(8). Suppose 2 + 18 = q*k. Suppose -2*r + 44 = 24. Calculate the smallest common multiple of k and r.
10
Let n = -4363 + 78565/18. Find the common denominator of -73/96 and n.
288
Let r be (0/(-2))/((-4)/(-4)). Suppose -5*h - 23 = -3*l - 58, 4*l = 2*h - 28. Suppose -h*y + r*y + 24 = 0. Calculate the smallest common multiple of 4 and y.
12
Let m = -22 + 26. Suppose -m*b + p + p = -14, 0 = -p + 3. Calculate the least common multiple of 5 and b.
5
Suppose -6*j + 84 + 36 = 0. Let n(b) = -7*b - 24. Calculate the smallest common multiple of n(-6) and j.
180
Calculate the common denominator of 53/40 and 159/(-212) - 478/(-360).
360
Let p(l) = -l**3 + 6*l**2 + 9*l. Let r