80
Suppose 90 + 522 + 270 = 21*x. What is the lowest common multiple of 255 and x?
3570
Calculate the lowest common multiple of (-2750)/(-341) + 12 + 8/(-124) and 946.
9460
Suppose 3*a - 124 = -4*s, 37 = 2*a + 3*s - 46. What is the least common multiple of 28*(-282)/329 + 52 and a?
280
Suppose -2*k - 1 = -3. Let p = -514 - -484. Calculate the lowest common multiple of 10 and ((-29)/(-2) - k)/(p/(-40)).
90
Let d = -22558 - -28128. What is the smallest common multiple of d and 2785?
5570
What is the smallest common multiple of 3408/114 + 18/171 and 420?
420
Let m(s) = -s**3 - 20*s**2 + 2*s - 315. Calculate the lowest common multiple of -1*9*(0 + -1) and m(-21).
252
Suppose 1684*p + 397 = 1662*p + 1981. What is the smallest common multiple of p and 584?
5256
Let t(u) = u + 3. Let o be t(1). Suppose k = -o*k + 125. What is the common denominator of (-10)/10 + k/(-2) and -149/30?
30
Suppose 105 = 2*q - 117. Let t = q + -84. Suppose 2*h + 6 = 60. What is the lowest common multiple of t and h?
27
Let l be (40/48)/(11/(-11462)). Let d = l + 849. Find the common denominator of (46 - 0)/((-36)/(-15)) and d.
6
Let l = -42231872367420335/226044 + 186830317846. Let m = l - -1/8694. Let w = 177975/16 - 11129. Calculate the common denominator of m and w.
208
What is the common denominator of (-24334)/3052 + 40 + -32 and 53/2?
1526
Let f(h) = 4*h**2 + 11*h + 14. Suppose 5*c - l = -8, -l - 6 = 2*l. Suppose -g - 16 = -3*g. Calculate the smallest common multiple of f(c) and g.
8
Find the common denominator of -99/3320 and (34/(-2241))/(1 + (-750)/45 + 13).
29880
What is the common denominator of -85/114 and 2859/(-288) - (191 + -202)?
1824
Let h(g) be the third derivative of g**5/5 - 5*g**4/8 + 17*g**3/6 + 239*g**2. Calculate the smallest common multiple of 6 and h(1).
42
Suppose -4*o + 2*z = 8, 2*o + 0*o - 6 = -4*z. Find the common denominator of o/1 - -1 - 127/18 and (-4)/14 + 526/126.
18
Suppose 4*n + 16 = -0. What is the common denominator of 85/52 and n/18*(130/16 + 6)?
468
Let i(w) be the third derivative of w**4/8 + w**3/2 - 16*w**2. Suppose 23*k = 24*k - 9. Calculate the smallest common multiple of k and i(2).
9
Suppose -3*m + 4*u = -602, -4*m + 798 = u - 4*u. What is the smallest common multiple of m and 0 + (-297)/(-44)*19/((-285)/(-40))?
198
Calculate the common denominator of 199/330 and (-249)/50*(-1240)/16368.
660
Calculate the common denominator of -67/110 and (-86)/(-43) - ((-6498)/(-3080) - 4/(-14)).
220
Let s = 737 + -137. What is the common denominator of 38/9 and (-4)/(s/(-153)) + -2?
450
Find the common denominator of -45/808 and (2 + 55/(-60))*25*48/(-160).
808
Let p(z) = -28*z**3 - z**2 - z - 1. Let b = -1903 + 1930. What is the least common multiple of b and p(-1)?
27
Suppose -2*d + 132 + 6704 = 0. Suppose -3*b - f - 2571 = -5*f, 0 = -4*b + 2*f - d. Let p = b - -8441/10. What is the common denominator of p and 47/2?
10
Let a be 0/(-4) + (8 - 5). Suppose 90 = a*z + 3*z. Calculate the smallest common multiple of 30 and z.
30
Suppose -5*y + 18407 = 5*h + 2847, -3*y - 6204 = -2*h. What is the smallest common multiple of h and 24?
6216
Let v(p) = p**3 + 5*p**2 + p + 3. Let b be v(-5). Let y = 252 + -256. Calculate the common denominator of (b/(-120))/(y/(-730)) and -83/33.
264
Let y(f) = 115*f**3 + f**2 + 2*f + 2. Let j be y(-2). Let l = j + 621. Let t = 2963/10 + l. Calculate the common denominator of t and -69/2.
10
Let j = 534 + -351. Let k = j + -159. What is the lowest common multiple of 6 and k?
24
Let k be (1/1)/(31/(-10) + 3). Find the common denominator of (-844)/630 + k/(-105) and 71/15.
45
What is the least common multiple of 2/(2 + -3 - (-9 - (-81565)/10197)) and 21?
12978
Let d = -14552/3 + 5037. Let m = -8147/42 + d. What is the common denominator of m and (-3 + 3184/448)/((-4)/8 - -1)?
14
Suppose -b + r = 342, 0 = 5*b - r + 716 + 986. Calculate the common denominator of ((-226)/54)/((-2)/(-3)) and 802/b + (6 - (-20)/(-5)).
1530
Let d = -18089/12 - -3025/2. Find the common denominator of -65/2382 and d.
4764
Suppose 3*t + 4 = -2*u, t + 1 = -5*u - 9. Let w(g) = 3*g + 38. Let h be w(-14). Calculate the lowest common multiple of 16 and (-24)/u*(h - (-198)/27).
80
Suppose -3*i - i + 3*g + 20 = 0, 0 = 2*i + 5*g + 16. What is the common denominator of -24/17 and (i/(-4))/((-221)/(-754))?
17
Suppose 141 = 114*r + 27. What is the smallest common multiple of 1035 and r?
1035
Let y be (-2)/4 + 82/4. What is the least common multiple of (-12)/y + 26/10 and 5 + -3 + (7 - 7)/9?
2
Let c = -81528553/416 - -195982. Calculate the common denominator of -93/160 and c.
2080
Suppose 97*j = 92*j + 90. Suppose -7*d = -8*d + 15. What is the smallest common multiple of 10*(-1)/(d/(-12)) and j?
72
Let a = -2/266293014067 - -164534233232237207/1065172056268. Let d = a - 154467. What is the common denominator of -149/6 and d?
732
What is the lowest common multiple of 5*144/3*(-20)/(-40) and 2940?
5880
Suppose -5*u - n + 14 = -39, -15 = -5*n. Let r = 264 - 224. Calculate the smallest common multiple of r and u.
40
Suppose -65*f - c - 240 = -70*f, -3*f = 4*c - 144. Suppose -7 = -q + 3*w, -3*q + 0*w = -2*w - 28. Calculate the common denominator of f and 3*(q/(-4) - -1).
2
What is the common denominator of (-164)/(-66) + 4/(-6) and (60/(-14))/(258/(-172))?
77
Suppose -30 = -3*i - 24. Let c(r) = 2*r**2 - r - 2. Calculate the least common multiple of c(4) and ((i - -6) + -4)/((-4)/(-6)).
78
Suppose 0 = -2*t - 4*t - 18. Let x = 3/5147 - -169764/149263. Calculate the common denominator of t and x.
29
Let c = 116520/7 - 16643. What is the common denominator of -6/3551 and c?
24857
Let d = 1/10885 + 7631/1567440. Let r = 56473/5040 - d. Calculate the common denominator of r and 9.
5
What is the common denominator of 49/429 and (-1094238)/5875740 - (-1)/5?
23166
Let x = -264 - -232. Suppose 3*r = 2*z + 34, -3 + 23 = 3*r + 5*z. What is the lowest common multiple of r and (-422)/(-5) + x/80?
420
Let t = -7899 + 789897/100. What is the common denominator of t and -29/450?
900
Suppose 4*l = -8, 4*k + 4 = -5*l + 30. Suppose -4*f - 18 = -3*f. What is the lowest common multiple of f*(0 - 1/3) and k?
18
Suppose -5*k = 3*d - 72, 12 = 2*k + 257*d - 260*d. Let x(w) = w**3 + 9*w**2 - 2*w + 10. What is the least common multiple of x(-9) and k?
84
Let z(b) = 14 + 12 - 4 - 4*b - 3. Let s be z(4). Suppose 25 = 5*d, -p - 3 = -0*p - s*d. Calculate the smallest common multiple of p and 22.
132
Let v = -110789/48360 - -292/155. What is the common denominator of 37/546 and v?
2184
Suppose -5*k + k = 16, 5*i - 67 = -2*k. Find the common denominator of (-1 + 72/i)/(4/(-5)) and 85/8.
8
Suppose -43 = -5*t + 47. Let m(u) = -2314*u - 6915. Calculate the least common multiple of m(-3) and t.
54
What is the common denominator of -101/54 and ((-39)/18)/((-450)/16)?
1350
Suppose -4*q - 2*j = -3*j + 17, q - 7 = -2*j. Let i = q - -18. Calculate the least common multiple of 18 and i.
90
Let i = -25972801058951/932484774 - -27/155414129. Let o = 27852 + i. Calculate the common denominator of o and -89/8.
456
Let a(b) = 19*b + 281. Calculate the smallest common multiple of (-27)/(-3) + (-1 + -2 - -4) and a(-13).
170
Let y(k) = -22*k**2 + 3*k - 1. Let t be y(1). Let s(n) be the first derivative of -n**2/2 - 9*n + 1. Calculate the smallest common multiple of s(t) and 52.
572
Let s = -60475 + 34565. Let a = s - -1554493/60. What is the common denominator of a and 151/66?
660
Let u(w) = -82*w**2. Let y be u(1). Find the common denominator of -2 + ((-290)/24)/(-1) and 2*2/80*y.
60
Let p = 114105/46 + -2481. Calculate the common denominator of p and -9/20.
460
Let w be ((-4)/(-5) + (-85002)/106290)*-1. Let o = 10832/719229 + w. Find the common denominator of -55/21 and o.
609
Let s = 45 + -30. Let y(j) = j**3 - 15*j**2. Let o be y(s). Find the common denominator of -99/8 and o - 7/(36/(-22) - -2).
8
Suppose -3*w - 6 = -3*c, -w - 6*c + 16 = -c. Let k(j) = -j**3 - 14*j**2 - 29*j + 45. What is the least common multiple of w and k(-11)?
1
Let l be (-4)/(-10) + 94580/(-200). Let i = l - -7541/16. Find the common denominator of 47/112 and i.
112
Suppose -5*r = -3*v - 14, -3*r + 5*v - 8 + 26 = 0. Let x(l) = -2*l - 2. Let b be x(4). What is the least common multiple of (-15)/b + 31/2 and r?
17
Suppose -1060 = -1