- 30. What is the least common multiple of 18 and b?
36
Find the common denominator of -4/5225 and 1*-25 + 1379763/52668.
20900
Let i(q) = 2*q**2 - 6*q - 11. Suppose 40 = 4*t + 4*t. Calculate the least common multiple of 116 and i(t).
1044
Let o(j) = 2*j**3 - 5*j**2 - 11*j + 38. Let k be o(5). Suppose 4*p - 89 = 115. What is the least common multiple of ((-1)/((-63)/k))/(2/7) and p?
102
Calculate the common denominator of -11/36 and 4/18*(8 + (-10759)/1740).
540
Let i = 6421 + -1136501/177. Let l = 6757/2301 - i. Find the common denominator of 37/9 and l.
117
Let w = 30391/13248 + 17/1472. What is the common denominator of w and -77/1132?
10188
Let h = -144445885/294 + 491312. What is the common denominator of h and 19/36?
1764
Let j = 25531 + -25393. What is the least common multiple of 186 and j?
4278
Let a(o) = 17*o**3 - 3*o**2 + 4*o - 2. Let s be a(1). Suppose 7*y + s = 3*y. Let m = 9 + y. Calculate the smallest common multiple of 7 and m.
35
Let z be ((-294)/105)/((-1)/(-5)). What is the common denominator of (-374)/(-868) + z/49 and 95/4?
124
Suppose -15*g = -13*g + 3*b - 74, -3*g = b - 90. Calculate the smallest common multiple of g and 520.
3640
Let g(n) = -2*n**2 + 9*n + 40. What is the smallest common multiple of 16 and g(6)?
176
Let f = 691/6 + -119. What is the common denominator of 177/20*38/(-57) + 0 and f?
30
Let w = 15349 - 14984. What is the lowest common multiple of 1168 and w?
5840
Let v = 1 + 0. Let j(m) be the third derivative of m**6/24 + m**5/20 + m**4/8 - 5*m**3/6 - 22*m**2 + 7. Calculate the least common multiple of j(1) and v.
6
Suppose 0*f + 33 = -3*f + 3*d, -19 = 2*f - 3*d. Let a(k) = k + 7. Let w be a(f). Calculate the least common multiple of w/7*(-26 + -1) and 30.
270
Let d = -419 - -418. Calculate the common denominator of -20/9 and (d/(-222))/((0 + 5)/380).
333
Let b be -2*(-789)/6 + 1. Suppose -11 = -11*r + b. Calculate the common denominator of -97/8 and (-182)/(-48) + (2 - r/15).
8
What is the common denominator of -77/32 and (-1140)/475*(3564/1173 + -3)?
12512
Find the common denominator of ((-1)/10)/(1952/241560) and 51/542.
2168
Calculate the common denominator of (2/10)/(4/242) and (-30)/3 + (-16637)/(-3930).
30
Let t(n) = 2*n**3 - 6*n**2 + 6*n - 4. Let b be t(5). Suppose -4*v + 310 = -b. Find the common denominator of v/35*20/(-16) and 51/22.
308
Calculate the lowest common multiple of 2 + (-88)/46 - (-9875502)/5382 and 8.
14680
Let o(r) = 2*r**2 - 112*r + 251. What is the lowest common multiple of 850 and o(54)?
5950
Suppose 7*a = 4*a + 64326. Let d = -686079/32 + a. Find the common denominator of (-80)/35 - 2/4 and d.
224
Let n = -4364/5229 - -33/581. Suppose 2*q - 2*i = i - 83, -34 = q - 3*i. Find the common denominator of q and n.
9
Let h(n) = -368*n - 320. Calculate the smallest common multiple of 8 and h(-4).
1152
Let j(c) = 5*c**2 - 4*c + 1. Let i be j(1). Calculate the common denominator of 181/30 and i/(-84)*1*(26 - 70).
210
Suppose -3*i - 4*c = -c, 3*c - 16 = i. Let o = -26 - -34. What is the lowest common multiple of o and 34 + 4 - (0 - i)?
136
Let c = 483 - 451. Let y(d) = -2*d**3 + 20*d**2 + d + 2. What is the lowest common multiple of c and y(10)?
96
Suppose 0 = -z + 9*z + 24. Let y = z + -3. What is the common denominator of (-18)/y + 15/(-16) and -73/18?
144
Find the common denominator of -107/312 and (-12)/(-2) + (-20)/14*13230/3696.
3432
Suppose -5*j + 250 = 275. Let f(h) = 14*h + 88. Calculate the least common multiple of 27 and f(j).
54
Suppose 3*q + 572 = 4*o + 7*q, q - 719 = -5*o. Calculate the least common multiple of 108 and o.
432
Suppose 6*q - 4146 = 2*o, -5*q - 57*o + 59*o = -3453. What is the least common multiple of 396 and q?
2772
Let o = 123636341/675 - 183165. What is the common denominator of o and 49/1200?
10800
Let f(d) = 0*d + 5*d**2 + 13 + d**3 + 11*d - 2*d - 7*d. What is the smallest common multiple of f(-4) and 69?
483
Let w be (1 + -6)/(-10)*6. Suppose 4*m = 5*t + 2*m - 25, w*m = t + 8. What is the least common multiple of 4 and t?
28
Suppose -6*r - 392 = -51*r + 688. Let x(w) = 2*w**2 + w - 4. What is the least common multiple of r and x(-2)?
24
Let t = -248 - -168. Calculate the smallest common multiple of 67/4 + t/(-64) and 80.
720
Let h be -905*1/565 + 3 + 0. Let t = 87374779/13513896 - 9015/13288. Let v = h - t. What is the common denominator of v and -29/9?
18
Suppose -693 = -3*g - 4*w + 2620, 0 = 2*g + 3*w - 2209. Let f = 9958/9 - g. What is the common denominator of f and 24/5?
45
Let i be 16/(-7) - 24/(-84). Let o = -190763/18 + 10593. Calculate the common denominator of o and 1899/1062 - (1 + 3 + i).
1062
Suppose 4*x + 4*t = 8, -14*x - 4*t = -11*x - 4. Suppose x*k + 2*w - 80 = 0, 0 = 4*w - 11 - 5. Calculate the lowest common multiple of 10 and k.
90
Suppose 7*f - 108 = f. Suppose 3*t + 246 = -f. Let o = t + 121. Calculate the least common multiple of 9 and o.
99
Let v(d) = d**3 + d**2 + d + 10. Suppose 0*i = 3*i. Suppose 14*k = o + 18, 2*o - 3*k - 16 = -k. Calculate the smallest common multiple of o and v(i).
10
Let y(k) = 1803*k - 2. Let o be y(3). Let p = -858877957/30 + 28634667. Let j = p - o. Find the common denominator of 55/27 and j.
270
Let y = -157 - -184. Calculate the lowest common multiple of 7 and ((-3)/y*3)/(1/(-18)).
42
Let z(b) = 2*b - 3. Let d = 28 - -91. Let w = -117 + d. Calculate the lowest common multiple of z(w) and 22.
22
Suppose 2*l + 24 + 82 = 2*u, 5*u - 230 = -2*l. Suppose x = f + 11, 2*x - f = -3*f + 10. What is the lowest common multiple of x and u?
48
Let m(i) = 55*i + 5314. What is the least common multiple of m(62) and 10?
43620
Suppose 2040 = 3*c - 4*r, 4*c - 2*r - 3477 + 777 = 0. Calculate the least common multiple of c and 32.
672
Suppose p = 13 - 5. Suppose -3*z = -4*z - v + 23, -2*z = -4*v - 58. Let h = z + 12. What is the least common multiple of h and p?
296
Let w = 1/17014 - -757099/408336. What is the common denominator of (-2)/88*52/6 and w?
528
Suppose -r + 2*k = -4584, 13745 = 3*r - 2*k + 3*k. Let z = 73337/16 - r. Calculate the common denominator of z and (1/68)/(26/3484).
272
Let l(a) = -3*a**3 + a**2 + 7*a - 2. Let x(s) = 18*s**2 - 3*s. Let r be x(3). Suppose -r = -9*k + 27. What is the least common multiple of k and l(-2)?
60
Let l(n) = 16*n**3 - n**2 - n. Let p be l(2). Calculate the common denominator of p/(-20) + (-32)/(-40) and 6589/2805 + 4/34.
30
Let w = 10798/3 - 3583. What is the common denominator of 113/1188 and w?
1188
Suppose -3*y + 4*i - 3 = 0, -81*y - 5*i + 37 = -80*y. What is the lowest common multiple of y and 65?
455
Let i = -15760 + 18238. Calculate the least common multiple of 3186 and i.
22302
Let u be (24/(-9))/(10/(-105)). What is the lowest common multiple of 12/(-4) - (-2*u + 3) and 20?
100
Let v be (1 - (-7)/(-2))*8/(-10). What is the lowest common multiple of 11 and (24 - 25) + 374/v?
2046
Let v be (2 - (-68)/(-35))/((-513)/495). Let c = -2333/1995 - v. What is the common denominator of c and 59/45?
315
Let q(x) = -7*x**2 + 184*x + 33. What is the lowest common multiple of q(26) and 35?
595
Suppose 13*g + 5*x - 57 = 12*g, 5*g - 5*x - 225 = 0. What is the lowest common multiple of 141 and g?
141
Let m = -84444509/45975 - -2774/1839. Let c = m + 1836. Calculate the common denominator of c and 43/55.
275
Let a = 37878/3005 - 3/601. What is the common denominator of ((-75)/50)/(186/86) and a?
310
Let x be (4 + 89)*(1/(-3) + 1). Let z be 93/x + 1/2*3. Suppose 2*f = 4*t - 94, -z*t - 2*f = -66 - 8. Calculate the least common multiple of t and 5.
120
Let w = 23347 + -23345. Calculate the least common multiple of 25448 and w.
25448
Let x(t) = t**3 - 33*t**2 + 30*t + 54. Let c be x(32). What is the lowest common multiple of 15 and c/(-4)*5*(-2)/(-5)?
15
Let i = 34 + -40. Let j be 62/99 - i/(-33). Let h = -7/36 + j. Find the common denominator of h and 97/18.
36
Suppose -4*k + 2*j + 3 = -5, -5*j = 0. Calculate the least common multiple of k and 51.
102
Suppose s + 0*s + 160 = 3*g, -g - s + 60 = 0. Let b(j) = 2*j**2 + 19*j - 61. Calculate the lowest common multiple of g and b(-13).
330
Let f(g) = g**2 - 67*g - 165. Let p be f(42). What is the common denominator of -43/18 and (2 - 95/50)/(6/p)?
36
Let f = 1/236942 - -9122095/40754024. Find the common denominator of f and -23/817.
6536
Let y