499. What is the lowest common multiple of a and 0/(-1) + -8 + 19?
451
What is the smallest common multiple of 120 and (-3 + -8 - -73) + -4 + 3 + -6?
1320
Suppose 18*g = 11604 + 2040. Suppose 5*l - g = -2*n - 64, -1398 = -4*n - 5*l. What is the lowest common multiple of n and 1?
352
Suppose -j = -1, 3*j + j - 4 = -5*t. Suppose 7*n - 431 = 4*n + 5*o, -2*n + o + 285 = t. Calculate the least common multiple of 14 and n.
994
Let c = -109721 + 11411071/104. What is the common denominator of c and (-1 - 192/(-195))/(20/(-580))?
520
Let b(u) = u**3 + 10*u**2 - 12*u + 13. Suppose -4*d - 11 = t, -5*t = 16*d - 19*d + 55. Calculate the least common multiple of 66 and b(t).
264
Let s be (-3)/(-30)*(-7)/(-4487). Let f = 171484/105765 - s. Calculate the common denominator of -13/6 and f.
66
Let p = 28059023/462 + -60734. Find the common denominator of 81/1694 and p.
5082
Let k = 49609/9 + -5511. Let d be (-27 - -4)*129/8. Let n = 383 + d. What is the common denominator of k and n?
72
What is the lowest common multiple of 0 + (51/17 - -1727) and 15?
5190
What is the common denominator of -59/2349 and 1/(75/6) + (-146558)/85725?
2349
Let q = 79 + -8. Let t = -39 + q. Calculate the smallest common multiple of 20 and t.
160
Suppose 0 = -w - 2 + 12. Let x(s) = -8*s**2 + 32*s - 7*s**2 - 2 + 13*s**2 + s**2 - 56. What is the smallest common multiple of w and x(2)?
10
Suppose -2*g = 4*a - 444, 382 = 3*a + 2*g + 48. Calculate the lowest common multiple of a and 80.
880
What is the common denominator of -59/203 and (112/980)/(133/75 - 1)?
203
Let k(c) = -5*c**3 + c**2 + c + 1. Let u be -5 - -37 - (-3 + -1). Let h = -18 + u. Calculate the lowest common multiple of k(-1) and h.
18
Suppose -17*n - 27 = -95. Suppose 684 - 184 = 5*g. Suppose -5*c = -3*w - g, -n*c - 8 + 88 = w. Calculate the least common multiple of c and 2.
20
What is the smallest common multiple of (-14)/2 + -1 - (143 + -159) and 2682?
10728
Let g = -391331 - -438290691/1120. What is the common denominator of g and 81/20?
1120
Let t = 137/18 - 2651/288. Let h = -49 + 43. Calculate the common denominator of (2*1/h)/((-88)/564) and t.
352
Let b = -38705/1647 + 1/3294. Let q be ((-1004)/(-508) - 2)*1. Let l = q - -5473/508. What is the common denominator of l and b?
4
Suppose 0 = a + 3*d - 105, -6*a = -5*a + d - 97. Calculate the smallest common multiple of (-48)/(-6) - 31/(7 + -8) and a.
1209
Let y(l) = -2*l**2 - 2*l + 9. Let a be y(-2). Suppose 3*v + 4*n = -v + 96, -a*n + 24 = v. Suppose 24 = 2*z - z. Calculate the lowest common multiple of v and z.
24
What is the common denominator of -71/30 and -6*1/12 - (-3)/(2853/526)?
9510
What is the common denominator of -3 + (1 - (-1051)/2*(-100)/(-26775)) and 53/1377?
9639
Suppose 0 = -118*u + 103*u - 3690. Let f = 286 + u. Suppose 10 = 3*d - d, 3*d = -4*r + 143. What is the smallest common multiple of r and f?
160
Let v be 17/17*5/((-228435)/6). Let c be (-160668)/(-120)*662/(-182748). Let j = c - v. Find the common denominator of 69/16 and j.
80
Suppose -77382 = -53*l - 101*l + 23334. Calculate the smallest common multiple of l and 4.
1308
Suppose -150 = 1067*q - 1072*q. Calculate the smallest common multiple of 120 and q.
120
What is the common denominator of (7*(-102)/3255)/(12/10) and -34/1023?
1023
Let d(w) be the first derivative of 5*w**2 + 77*w - 117. What is the smallest common multiple of d(-5) and 6?
54
Let f be (20/(-8))/(5/(-4)) + -3. Let y(r) be the first derivative of -4*r**2 - 3*r - 1. What is the least common multiple of 7 and y(f)?
35
Let t be ((-28)/12)/((3 + -5)/6). Let j(x) = x**3 - 4*x**2 - 3*x - 29. What is the lowest common multiple of 10 and j(t)?
970
Suppose 2*l = -l + 3, 3*o + 4*l = 34. Let q(c) = 6*c - 57. Calculate the least common multiple of 1 and q(o).
3
Let n be (12/(-8))/(4*(-3)/8). What is the smallest common multiple of (n/(-2))/(17/(-782)) and 7?
161
Let t(o) = -o**3 + o + 9. Let y = 1 - 1. Let m = -181 - -182. What is the least common multiple of m and t(y)?
9
Let t = 12877/2898 - -27/161. What is the common denominator of t and (28119/2030)/13 - 3/5?
522
Suppose -13 = -x - 61. Let t = 60 + x. What is the lowest common multiple of 24 and (1/(-2))/((-1)/t) - 2?
24
Let b = -89/570 + 155/76. Let n = -2594197/66 - -39304. Calculate the common denominator of b and n.
660
Let j be (-2 - -6) + 20039/(-6). Let y = -3600 - -278. Let a = y - j. Calculate the common denominator of a and -38/21.
42
Suppose -5*r - 89*k = -92*k - 4117, 2*k = -3*r + 2493. Calculate the smallest common multiple of r and 3.
2481
Let p be (-1)/3 + 271*1/3. What is the common denominator of (-37)/p - 5/50 and -119/40?
360
Calculate the common denominator of 112/80 + (-508)/770 and 38/23.
1771
Let m = 1032 - 912. Find the common denominator of (-2)/10 + 8 + 184/m and 3/8*(-148)/5.
30
Suppose -5 = -15*s + 24 + 1. What is the least common multiple of 966 and s?
966
Let u = -2/796427 + -19910477/78846273. What is the common denominator of (6 - -1)/((-11)/2) and u?
99
Suppose 8*z = 14*z - 6. Calculate the lowest common multiple of (-3 - z)*(23/(-4))/1 and 11.
253
Let z = -2286/1111 + 3238156/1516515. Calculate the common denominator of z and -5/96.
43680
Calculate the common denominator of -83/6 and -1 - (-12)/(-540)*-39.
30
Suppose 0 = o - a - 10, 4*o + 2*a - 72 = -2*a. Suppose -4*p = 3*g - 2, -5*p + g + g = -o. What is the least common multiple of 4 and p?
4
Let b = -2930 + 263707/90. Calculate the common denominator of 37/72 + 1/2 and b.
360
Let x = -1006619/69 + 14589. Find the common denominator of 25/2022 and x.
46506
Find the common denominator of -97/28 and ((-3326)/1924 - -1) + (-546)/(-728).
13468
Calculate the smallest common multiple of 2628960/1248 - (-6)/13 and 539.
23177
Let b(p) be the third derivative of -p**6/120 - 3*p**5/20 - p**4/2 - 2*p**3/3 - 43*p**2. What is the smallest common multiple of 44 and b(-8)?
308
Let q = -252 + 258. Suppose -1719 = -5*b - 2*c, b + 0*b = -4*c + 351. What is the lowest common multiple of q and b?
2058
Let b(h) = 2*h - 44. Let x(w) = w - 1. Let f(j) = -b(j) + 4*x(j). Let r be f(-18). Suppose -r*u - 8 = -20. What is the lowest common multiple of u and 7?
21
Let z be 58/145*3/((-3)/20). Let l(x) = -x**3 - 9*x**2 - 2*x + 50. What is the smallest common multiple of 4 and l(z)?
4
Let f = -1480849/7598200 - 4/37991. Calculate the common denominator of f and 109/4600.
4600
Calculate the common denominator of 414/17871*217/(-4) and -77/666.
666
Let z = 30 + -63. Suppose -d = 7*d - 32. What is the lowest common multiple of d and (-44)/z - (-26)/3?
20
Let i = -39974/2057211 - 3/5861. Calculate the common denominator of i and (-11)/(-6) + (-144 - -133) + 0.
702
Let g = 941 - 715. What is the lowest common multiple of 88 and g?
9944
Let d = 1030 + -1026. What is the common denominator of (-5 + (-534)/(-110))/(-3 + d) and 39/22?
110
Suppose 11*p - 29304 = 55*p. Let f = p - -3971/6. Let i = 2476/1743 - -2/249. Calculate the common denominator of i and f.
42
Let q = 2366 - 2231. Calculate the lowest common multiple of q and 960.
8640
Let i be (0 - -18)*(-2)/4. What is the common denominator of 5/(200/(-102)) + (i - -8) and ((-15)/(-20))/(2/84)?
20
Suppose 5*l + 67 - 17 = 0. Let r = -8184 - -8190. Calculate the lowest common multiple of r and (-334)/l - (-4)/(-10).
66
Suppose 549 = 19*c + 17. Calculate the smallest common multiple of 68 and c.
476
Suppose 4*p - 48 = 20. Let n = -12 + p. Suppose -2*l - 9 = 2*l - 5*o, n*l + 3*o = 35. What is the least common multiple of 11 and l?
44
What is the common denominator of (36/8)/((-6)/(-14)) and ((-711)/18 - 0)*(-1)/(-11)?
22
Let m = 5/25433 + -45649/228897. Calculate the common denominator of 1/108 and m.
3132
Let k(d) = d**2 + 71*d + 11. Let u be k(-21). Let y = u - -11413/11. What is the common denominator of y and -18/5?
55
Suppose 0 = 15*d + 2*d - 153. Suppose -d*y - 14 = -10*y. What is the lowest common multiple of 24 and y?
168
Let s = 3285970 - 8398939217/2556. Calculate the common denominator of s and 91/852.
2556
Let f(l) = -21*l - 401. What is the least common multiple of f(-21) and 640?
640
Let o = 2519/6 + -50629/120. What is the common denominator of (22/(-12))/(10/(-13)) and o?
120
Let c = -4151 - -4165. What is the lowest common multiple of c and 2186?
15302
Calculate the