or of -40/3 and m/15 + (-131)/15.
15
Suppose -116*m - 5*k = -113*m - 25010, 4*m - 33354 = -3*k. What is the lowest common multiple of m and 16?
33360
Let t be (-102)/(-30) - 3 - (-166)/10. Let w = 1 + t. Calculate the smallest common multiple of 20 and w.
180
Suppose 43*j = 38*j. Suppose -n + j - 3 = 0, -117 = -3*r + 2*n. Suppose 0 = 6*w - 23 - r. Calculate the lowest common multiple of 58 and w.
290
Suppose 2*b = -2*r + 320, 5*r + 3*b - 808 = 2*b. Suppose -2*p + r = 7*p. What is the common denominator of 29/51 and (-37*(-8)/p)/(122/183)?
51
Let x(q) = -19*q**2 - 72*q + 2. Suppose -66 = 14*g - 24. Let y = -5 - -6. Calculate the smallest common multiple of y and x(g).
47
Let r = -415691957885265310054/3219987 + 129097402531520. Let z = r + 1/126274. Calculate the common denominator of z and -15/187.
1122
Suppose 0*w + 4*z = 2*w + 2, 0 = -w - z + 5. Suppose w = -h + 2*l + 5, 5*h + l = 65. What is the lowest common multiple of h and 24?
24
Let o = -4/10443895 - -2071097485813/125326740. Let z = o - 16514. What is the common denominator of (-85)/(-12) - 4/(-6) and z?
12
Find the common denominator of 9/2 and (-553)/104 + 4/(-13 - 759/(-55)).
104
Calculate the least common multiple of 12 and (4/12)/(130/296400).
2280
Suppose 393*p + 162 = 402*p. Let f(i) = i**2 - 8*i. Calculate the smallest common multiple of p and f(-6).
252
Suppose 3*u + 105 = 3*y, 5*u + 191 = y + 20. Calculate the lowest common multiple of 10 and (-32)/(-3) + u/51.
10
Let k = 40309 + -35179. What is the least common multiple of k and 285?
5130
Let t = -227 + 231. What is the common denominator of -27/4 and (1118/40)/(-13) + t?
20
Let y(m) be the second derivative of -5*m**3/2 + 37*m**2/2 + 30*m. Let o be y(-6). Let r = 211 - o. What is the lowest common multiple of 6 and r?
84
Suppose 5*d + 829 = 4*x, -2 = 3*d - 11. Let v = -204 + x. Calculate the least common multiple of v and 6.
42
Let q(k) = 23*k**2 + 10*k - 11. Let r be q(1). Suppose 43*i = r*i + 840. Calculate the least common multiple of i and 8.
40
Calculate the lowest common multiple of ((-92)/(-184))/((-3)/(-5040)) and 168.
840
Suppose 2*c - 5*h - 24 = 0, -3*c - c + 80 = -2*h. Let n(d) = 12*d**2 + 10*d + 8. Calculate the smallest common multiple of c and n(-1).
110
Calculate the least common multiple of 32 and (-9)/((-126)/(-8)) - (-53064)/154.
1376
Suppose -2*w + 1560 = -8*x + 4938, 0 = -4*x - 5*w + 1731. Calculate the lowest common multiple of x and 583.
4664
Let g = -461286077/5408 - -85297. What is the common denominator of g and -133/2028?
16224
Let s = -385 - -613. Suppose -3*z - 2*q = -0*q - 160, 4*z = q + s. Calculate the common denominator of 465/84 - 16/z and 43/6.
12
Calculate the common denominator of -49/68 and 6 - (56518/4488 + -7).
204
Let j be 52 + -46 - 221900/36983. Let v = 1072595/1627252 + j. What is the common denominator of v and -85/4?
44
Calculate the common denominator of (-3)/(540/(-2210)) + -5 and 67/(-4)*(4 - 120/27).
18
Let w = -23845 - -4779. Let s = w + 858031/45. What is the common denominator of -43/45 and s?
45
Let f = 277 + -268. Suppose 0 = 7*j - f*j + m + 9, -j + m = -3. What is the smallest common multiple of 16 and j?
48
Let d = 2042 - 3569. Let w = -122621/330 + 5588/15. Find the common denominator of w and d/54 + 2/(-9).
22
What is the common denominator of -22/2887 and ((-123)/(-18))/(7/(-21)*-2) + 0?
11548
Let l = 4698719 - 25034774957/5328. Find the common denominator of -107/12 and l.
5328
Let m(d) = 3*d - 9. Let x be m(11). Let f = x - 22. Calculate the least common multiple of 12 and (-4)/(f/3 + -1).
12
Let h = 8/115 - -629/2530. Let o = 401656 + -49404071/123. Let b = 21/656 - o. Find the common denominator of h and b.
528
Let t be (10/(-20))/(1/8). Let o(s) = -s**3 - 3*s**2 + 7*s + 14. Let f be o(t). Suppose -14 = -f*w + 4. Calculate the lowest common multiple of w and 16.
144
Let v = 2091 - 331. What is the smallest common multiple of v and 1120?
12320
Suppose 47*m + 399 - 2908 - 969 = 0. What is the least common multiple of m and 12?
444
Find the common denominator of 143/96 and ((-1)/(-60))/((-208)/2470).
96
Let g = 10/16959 - -819065/1051458. Calculate the common denominator of -79/15 and g.
930
Let h be (1 - 6)*2/(-5). Let i(o) = o**3 - 29*o**2 - 64*o + 69. What is the least common multiple of (16/(-5))/(h/(-5)) and i(31)?
56
Let s = -5 + 21. Suppose 4*v - 5*f - 128 = 0, 7532*v + f = 7527*v + 102. Calculate the smallest common multiple of v and s.
176
Let o = -1397529/44 + 31764. Let c = -1233/4 + 304. Calculate the common denominator of o and c.
44
Suppose -3*r + 212 = m - 345, 10*m = -4*r + 5700. What is the lowest common multiple of m and 143?
572
Suppose 60 = 4*q + 3*s - 116, -s = -q + 44. Calculate the smallest common multiple of 296 and q.
3256
Suppose -5*z + 421 = -2*x + 3*x, 0 = 5*z - x - 419. Calculate the common denominator of 166/z - 4/(-8) and 7 + -4 + (-85)/(-35)*21/54.
126
Let r be (3/(-30))/((-3)/107182149). Let o = r + -3576074. Let c = o + 3347. Calculate the common denominator of 69/16 and c.
80
Let j be 12/28*-1 + (-10604789)/280. Let c = j - -37872. Find the common denominator of c and -73/40.
40
Let m = -4/13337 + -1053167/1520418. Let z = 9/19 - m. What is the common denominator of z and -7/4?
12
Let k be ((-126)/(-70))/((-6)/(-50)). Let w = -11 + k. Suppose -5*o + 8 = t, -3*o = -2*t + 3*t - 4. Calculate the lowest common multiple of w and o.
4
What is the common denominator of -31/516 and (-20)/(-140)*2044/32?
1032
Calculate the least common multiple of (4 + -116)*2/(-4) - 1 and 2354/99 - -1 - (-6)/27.
275
Let y(o) = -29 + 4*o**2 - 668*o + 674*o - 3*o**2. Calculate the least common multiple of y(5) and 16.
208
Suppose 17*b = 164 - 79. Let w be (-2 + (-10)/(-4))*6. Suppose 1 = -d + w. What is the smallest common multiple of d and b?
10
Let h = 1/20094 + -458815/40188. Let w be 1/((-76)/(-2731)) - (-1)/(-2). Let b = -5/76 - w. Calculate the common denominator of h and b.
12
Let q(x) = 3*x**2 - 41*x - 2330. What is the least common multiple of 1161 and q(41)?
9288
Suppose 5723 = -8*u - 2837. Let l = -1278 + 2507/2. Calculate the common denominator of 0 - (2/9 + u/(-288)) and l.
16
Let l = -275185 - -194132. Let v = 5511499/68 + l. Calculate the common denominator of v and 69/16.
272
Let m = -1/2078 - -48835/4156. Find the common denominator of m and 27/155.
620
Let g = -198 - -224. Suppose 3*m + 4*f = -5 + g, 3*f - 9 = 0. Calculate the least common multiple of m and 81.
81
Suppose 0 = 4*t - 23*t - 3*t + 396. Let f = -17 + 26. What is the smallest common multiple of t and f?
18
Let s(d) = d**2 - 286*d - 40. Let i be s(54). Let w be (54/52)/(4/(-48406)). Let g = w - i. Find the common denominator of g and -37/14.
364
Let v = -3098 + 3838. Calculate the lowest common multiple of v and 74.
740
Let j be -4 + 519/187 - -1. Let t = -4087/2618 + j. Find the common denominator of (-4)/(2 - 4)*(-17)/48 and t.
168
Let v = -546578/9 - -4995176792/82251. What is the common denominator of v and 56/4329?
82251
Let z = 353 + -351. Suppose z*m = 5*a - 11, 0 = -5*a + 6*m - 3*m + 14. What is the smallest common multiple of 2 and a?
2
Suppose 5*h + 10 = 1050. Suppose 7*i = -25 + 151. What is the least common multiple of h and i?
1872
Let p = 80496095/312 + -258000. What is the common denominator of p and 87/572?
3432
Suppose 160*a - 220*a + 2700 = 0. What is the smallest common multiple of a and 960?
2880
Let m = -86528602/9 + 689688065/72. Let o = 35282 + m. Find the common denominator of o and -53/21.
168
Let j = -14665/2168 + -30/271. What is the common denominator of (-64)/(-8192)*204 + 3/16 and j?
32
Let j = -3201 - -1647. Let t = 6273/4 + j. Find the common denominator of 32/5 and t.
20
What is the common denominator of 7892*9/7488 - 10 and 19/182?
1456
Let f(i) = i**3 + 6*i**2 - 2*i + 5. Let v be f(-4). Suppose 5*y - g = v, -2*g + 3*g = 0. What is the smallest common multiple of 9 and y?
9
Let h = -5192549/140 + 37090. What is the common denominator of -81/322 and h?
3220
Suppose -62*b = -59*b. Suppose r + 43 = 3*h, -3*h = 2*r + 12 - 52. Suppose i + b*i - 23 = l, 0 = i + 2*l - h. What is the smallest common multiple of 58 and i?
580
Let a = 13 + 10. Suppose 2*n - 14 + 8 = 2*t, 0 = -5*n - 23*t + 43. What is the lowest common multiple of n and a?
92
Let f b