**2 - 240*o + 12. What is the least common multiple of c(-30) and 1988?
5964
Find the common denominator of -109/984 and (-3 + 2066/644)/((-82)/(-287)).
22632
Let b(l) = l - 15. Let q be b(17). What is the least common multiple of 12/q - (-8 - (-36)/4) and 59?
295
Let s = -433/910 - 9/1820. Find the common denominator of s and 57/1792.
23296
Let h = 968 + -947. Suppose -116 = -3*a + 352. What is the least common multiple of h and a?
1092
Let q = -2868016/21 + 136524. Let t = q + 1921/42. What is the common denominator of t and -48/7?
42
What is the least common multiple of 19 + 932 + 26 + (1 - 2) and 416?
25376
Suppose 11 = -5*u + 41. Let f(r) = r - 2. Let o(n) = -10*n**2 - 32*n - 22. Let c(k) = -20*f(k) - 2*o(k). What is the smallest common multiple of u and c(-2)?
228
What is the common denominator of (-363)/(-48928)*276 + (-2 - (-1 + 1)) and 12/139?
1112
Let q = -18830 - -18840. Calculate the least common multiple of q and 716.
3580
Let c = 1231260/7957 + -12166941627/80079248. Let q be 1330/7548 + 21/(-18) + 1. Let f = c + q. Find the common denominator of f and 25/16.
16
Let o(p) = -263*p**3 - 5*p**2 + 132*p**3 + 129*p**3 + 9*p + 20. What is the least common multiple of 36 and o(-4)?
288
Let s(x) = x**3 + x**2 - 16*x + 8. Let d be s(7). Find the common denominator of ((-4)/(-32))/((-18)/(-1048)) and 2/9 + 1754/d.
144
Let v = -1/60444 + -549031/120888. Calculate the common denominator of (-373)/154 + 18/63 and v.
264
Suppose -5*y + 3*b - 47 = 6*b, -4*y - 36 = 2*b. What is the smallest common multiple of y/35 - (-51)/5 and 10?
10
Find the common denominator of ((-196)/(-1960))/((4/(-291))/(20/498)) and (1 - (-22)/(-12)) + (-2)/3.
332
Let b = 188/69 + -11365/4416. What is the common denominator of b and 43/216?
1728
Let v = 6511679/155 + -42011. Let s = -4393/1240 - v. What is the common denominator of s and 17 - 4510/132 - 4*1*1?
24
Let p(m) = m**3 + 9*m**2 - 34*m - 228. What is the least common multiple of p(-5) and 207?
2898
Suppose -4*v = 76 - 0. Let d(a) = -396*a**3 + 20*a**2 - 395*a**3 + 792*a**3 + 18*a - 4. What is the lowest common multiple of 18 and d(v)?
90
What is the common denominator of 3/(-7) + (-9 - 171969/(-18522)) and 2/63?
882
Let g = 3858/125 - 2428881/79000. Find the common denominator of g and -54/553.
4424
Suppose -15 = -3*f - 9. Suppose f*j - 2 - 10 = 0. Find the common denominator of (-1)/20*25/j and -65/9.
72
Let r = -1 + 40. Find the common denominator of -32/129 and (r*1/(-10))/((-9)/35).
258
Let f(x) = -5*x + 80. Calculate the least common multiple of f(7) and 15.
45
Let b(c) = -c**3 - 9*c**2 - 20*c. Let h be b(-6). Suppose 8 = -3*x - 5*o, 4*x = 2*x + o + h. What is the least common multiple of x and 8?
8
Let w = 11 + -10. Suppose 32 - 137 = -3*z. Suppose 0 = -2*b + 10, -5*r - 8*b + 4*b + z = 0. What is the smallest common multiple of r and w?
3
Let v be (3 + -3 - 3) + 34. Let g = 126 - 121. Let h = v - g. Calculate the smallest common multiple of h and 10.
130
Suppose -5*u + 11 = 2*j - 2*u, 5*u + 3 = 2*j. Let r(i) = 2*i**3 - 6*i**2 + 5*i + 3. Calculate the smallest common multiple of r(j) and 15.
165
Let x(u) = -u**3 - 10*u**2 + 104*u + 63. Calculate the smallest common multiple of 99 and x(-18).
8613
Let b = -7879 - -62947/8. Calculate the common denominator of b and -1*(1 - -21)*-1.
8
What is the common denominator of (26 + 16214/(-616))/(6/116) and -45/4172?
4172
Let g = -28/46121 + -3064922/269392761. What is the common denominator of g and 97/54?
35046
Find the common denominator of 477/(-53) - 776/(-91) and -83/4.
364
What is the common denominator of 73/385 and (-4167)/(-1100) - 4 - (-188)/2350?
1540
Let j(u) = 21*u + 246. Let p = -512 - -501. Calculate the lowest common multiple of j(p) and 14.
210
Let g = -259 + 260. Calculate the common denominator of 7/16 and (g/(-11))/(-5 - (-269)/54).
176
Suppose 2*b = m - 0*m + 11, 0 = -4*b - 8. Let y = 65231/4924 - -3/1231. Calculate the common denominator of y and ((-666)/m)/6 + 3.
20
Suppose 4*p - 2530 = -396*i + 397*i, 4*p - 2520 = -4*i. What is the smallest common multiple of p and 632?
632
Let m be (-10828)/4 + 5 + -2. Let d = -86503/32 - m. Calculate the common denominator of -35/32 and d.
32
Calculate the common denominator of -133/12 and (-1124)/(-4360) + -7 + (-104)/(-15).
1308
Let z = -11517/4 - -46153/16. Let r = -16679171/2578680 + 4325/3393. Let x = -115/152 + r. Calculate the common denominator of z and x.
80
Let w = -21951/4144 - 4/259. Let d = -4 + 9. Suppose -d*r + 9 = 2*p - 19, -3*p - 4*r + 28 = 0. Find the common denominator of p and w.
16
Let o be 4/(-18) + (-479)/(-9). Suppose -o = -5*s + 4*c, 0*c + 4*c - 19 = -3*s. Suppose 0 = -9*l + 40 + 5. Calculate the lowest common multiple of s and l.
45
Let t = 172 + -168. Suppose t*h = 4*v + 196, 3*h - 24 = 2*v + 118. Calculate the least common multiple of 3 and h.
132
Let i(l) = l**3 - 31*l**2 - 575*l + 25. What is the smallest common multiple of i(-13) and 1600?
1600
Let d be 15*94/24 + (-1)/(-4). Suppose -18*n + d = -17*n. Let z = -37 + n. Calculate the lowest common multiple of z and 38.
418
Suppose -8 = 2*q + 5*j, -2*q + 1 = 2*j + 3. Find the common denominator of 1/12 and 70/8 + -3 + 2/q.
12
What is the common denominator of -117/220 and (-561)/(-90)*10/(-1220)?
40260
Suppose 3*a = o - 7, 0 = 2*o - 0*o + 2*a + 2. Calculate the lowest common multiple of (1 - (-15)/(-1))/(7 + -9) and o*9/(-3)*-1.
21
Let z = 16902 - 23746. Let w = 2080573/304 + z. Calculate the common denominator of -67/18 and w.
2736
Let m be -4 - (-36939)/14*(-7)/(-2010). Let g = m - -3/268. Find the common denominator of 19*3*2/(-20) and g.
10
Let n(w) = -w**2 + 14*w + 37. Let v be n(16). What is the common denominator of 101/8 and (-4)/528*-874 - v?
264
Let j be 4*3*(22 + -16). Let s(y) = j - 4*y - 93 + 7*y. Calculate the smallest common multiple of 32 and s(9).
96
Suppose 4*g + 2*y = 1980, 0 = 2*g + 4*y - 6*y - 978. Let u = g + -453. Calculate the lowest common multiple of 8 and u.
40
Let p be (-5)/15*-35*2/(-74). Let m = p - -1047/74. Let u = 3/113 + 5290/791. Find the common denominator of m and u.
42
Let y = 5305 - 1633937/308. What is the common denominator of y and -107/868?
9548
Let s(a) be the third derivative of -a**6/120 + a**5/30 - a**3/3 + 24*a**2. Let x be s(2). Calculate the lowest common multiple of -2 - -14 - x/(4 - 2) and 2.
26
Let a(u) = -u + 14*u - 32*u + 276 + 11*u. What is the smallest common multiple of 18 and a(32)?
180
Suppose 21*b = 19*b + 98. Find the common denominator of 1/16*3283/b and -19/22.
176
Let k(x) = 16*x**2. Let q be k(-2). Let p = -66 + q. Find the common denominator of -69*(-18)/(-12)*p/(-12) and 139/6.
12
Find the common denominator of -5/6 and (-10370)/(-7470) + (-4)/3.
1494
Let n = -1038/89 - -770701/65860. Calculate the common denominator of n and -81/148.
740
Let a = -167 - -259. Let o = -5937/2 - -2920. Find the common denominator of o and 2/4 + a/(-48).
12
Calculate the common denominator of -63/5 and -3 - -3 - (-11)/67606*-147.
4390
Suppose -4*c = -16, -c - 89 - 61 = -2*d. What is the least common multiple of (-7)/(84/(-1496)) + (56/(-21) - -4) and d?
1386
Let l(t) = t**3 + 2*t**2 - 13*t - 20. Let d be l(-4). Suppose 13*v + 90 - 376 = d. Let p = 0 - -2. What is the lowest common multiple of v and p?
22
Let t = 2321 + -2116. What is the lowest common multiple of 60 and t?
2460
Let m = -49 - 68. What is the common denominator of (m/75 - -1)*(-10)/(-8) and (0 - (-1)/2)*-53?
10
Let p = -1597489 - -2917014809/1826. Find the common denominator of p and -1/2.
1826
Suppose -357 = 2*i - 379. Suppose 4*u + 126 = i*u. What is the lowest common multiple of u and 16?
144
Suppose 26*s - 2441 - 315 = 0. Calculate the lowest common multiple of 88 and s.
4664
Suppose 2*q + 20 = 7*q. Let k be 0 - -4 - (2 + (-10)/(-5)). Suppose 4*a - 315 = 5*o - k, 5*a - 399 = o. What is the smallest common multiple of a and q?
80
Let z be (10/60)/(16/192). Let a = 30 - 50. What is the smallest common multiple of (4/z)/((-10)/a) and 6?
12
Let c = 6033/8 - 752. Let d = -1/2 + c. Let t = 2284/5 + -61718/135. What is the common denominator of d and t?
216
Let r = 364525874687/4005 + -91017696. Let p be (3*-1)/((-2670)/(-4)). Let a = p - r. What is the common denominator of -43/8 and a?
72
Let o = -123380 + 37508763