0 = 5*g - s + 160. Let z = -20 - g. What is the smallest common multiple of 3 and z?
3
Let t(q) = 187*q - 915. What is the smallest common multiple of t(5) and 24/6 + (-80)/(-4)?
120
Suppose 0*q - 4*t - 176 = -4*q, -4 = t. Let w = 43 - q. What is the lowest common multiple of w and 4 - (2 + 3 + -2)?
3
Let m(w) = -2*w**2 - 2*w - 2. Let v be m(-1). What is the common denominator of 23/22 and (-4 + 4)/v + 83/(-20)?
220
Let d(j) = -j - 1. Let v be d(-3). Suppose -4*u = v - 10, -4*u + 44 = -3*o. What is the common denominator of 33/(-84) - o/16 and 17/6?
42
Let w = 562197/425404 - 2/15193. Calculate the common denominator of (-121)/(-24) - (-40)/(-16) and w.
168
Let c = -1018 + 1906. Calculate the common denominator of -5/42 and (c/54)/((-188)/12 + 3).
798
Suppose 0*f - f = -2. Suppose -2*z - 5*y = -4*z + 100, 0 = f*z - 3*y - 92. What is the lowest common multiple of z and 44?
440
Let a(t) = -t**2 + 3*t - 9. Let r be a(0). Let h be 17469/4 - r/12. What is the common denominator of 61/24 and (-10621)/h - 4/(-14)?
48
Suppose -5*k + 565 - 596 = -3*x, 0 = -2*x + k + 44. Let v = 10 - -6. Calculate the lowest common multiple of x and v.
432
Let v(i) = 1284*i**3 + 1. Let m = -6 + 7. Let w be v(m). Let j = 5107/4 - w. Calculate the common denominator of j and 27/4.
4
Suppose -4*o = 2*q - 20, -o + 28 = 4*q + 3*o. Suppose -56 = -25*l + 69. What is the least common multiple of l and q?
20
Let i(m) be the second derivative of -m**3/6 + 37*m**2/2 - 82*m. What is the least common multiple of i(-26) and 42?
126
Calculate the least common multiple of 1332 and (16/8)/(2/5) + 85.
6660
Suppose -7*a + 5*j = -4*a + 26, 5*a + 22 = 3*j. Find the common denominator of -1 - a - (-3129)/(-924) and 2/5.
220
Calculate the common denominator of ((-56)/(-5) + 1)*(21 - 85228/4048) and -121/6.
276
Let j be (-10 - 574/(-49))/(2/14). Calculate the least common multiple of (72/(-15))/(j/(-210)) and 36.
252
Calculate the common denominator of 2 + 136/(-56) - (-8)/14 - -1 and 6/7.
7
Let a(j) = 23*j + 10. Let m be a(-20). Calculate the smallest common multiple of ((-3)/(-9))/((-3)/m) and 12.
300
Find the common denominator of (-49 - (-71776)/1536)/((-7)/4) and 22/2919.
11676
Let a = 16582/11 - 5705143/3784. Calculate the common denominator of a and 59/516.
1032
Suppose -4*z + 3*t - 1314 = -6*z, -2*z = -3*t - 1326. Suppose -5*m - 155 = -z. Suppose -f = 93 - m. What is the lowest common multiple of f and 53?
424
Let a be 651/(-105) - 2/(-10). What is the common denominator of 31/5 and (-1105)/(-34)*4/a?
15
Suppose 2*p + 2*p - 23 = 5*w, -3*p + w + 31 = 0. Let g = 3771/4 + -923. Find the common denominator of (-26)/p*(-14 + 3) and g.
12
Let k be ((-11115)/(-27))/((-4)/120). Calculate the common denominator of -83/16 and ((-2)/(-1 + 41))/(104/k).
16
Let g(k) = 257*k**2 + 346*k. Calculate the smallest common multiple of 350 and g(-2).
8400
Let u = 1128 + -998. What is the smallest common multiple of u and 1690?
1690
Let c(u) = 29*u**2 - 3*u - 2. Let i(f) = -f - 2. Let h be i(-1). Let n = -1925 + 7657/4. Calculate the common denominator of n and c(h).
4
Let o = 4/9 + -25/36. Let x be ((-2)/(336/47757))/((-195900)/(-464)). Let h = 2/68565 - x. Calculate the common denominator of o and h.
300
Let p be 251/(-14) - (-40)/(-560). Calculate the lowest common multiple of 33 and (p - -12)/(6/(-88)).
264
Let i = 422/27 + -1979/270. What is the common denominator of (7824/1920)/((-3)/(-4)) and i?
30
Let l = 103563769941/24068 + -651695202808673/12659768. Let k = l + 47174691. Let o = k + -4/789. What is the common denominator of 19/3 and o?
24
Let a be 1/2 - (-15)/6*-5. Let f be ((-40)/a)/5*(-3)/2. Calculate the lowest common multiple of 8 and (-6 - f - -4) + 16 + 3.
72
Let f = -9096 - -10048. Calculate the least common multiple of 6 and f.
2856
Calculate the common denominator of 85/220*(975/(-2565) - (-10)/45) and -53/247.
10868
What is the common denominator of 19/140 and 2214/(-4920)*25/26?
3640
Let h be (10/(-970))/(2 + (-234)/118). Let p = 1979/2328 - h. Calculate the common denominator of -13/72 and p.
72
Let b = -114 - -114. Let o be (0 - b) + (2 - 4 - 0). Calculate the least common multiple of 5 and (-6)/(-12)*-3*o.
15
Let a be ((-97)/291)/((-2)/(-42)). Let y(p) = p**3 + 7*p**2 - 17*p - 19. Calculate the smallest common multiple of y(a) and 15.
300
Calculate the common denominator of -51/52 and ((-5)/1794)/(55/33 + -2).
1196
Let u = 850 + -826. Calculate the smallest common multiple of u and 66.
264
Let w = 48/5396405 + -334701246899/2201733240. Let u = w - -2670/17. Find the common denominator of -137/18 and u.
72
Let a = 719/2 - 369. Let t = -142/251 - -23455/5522. Calculate the common denominator of a and t.
22
Let n = 128 + -142. Let u = n - -32. Let l(g) = 2*g - 4. What is the lowest common multiple of u and l(11)?
18
Find the common denominator of -103/22 and ((-230)/(-888))/((-22)/8 + 216/288).
9768
Suppose -3*x - 1173 = -7*q, 4*q + 6*x - 3*x - 675 = 0. Calculate the smallest common multiple of q and 1932.
3864
Let h = 165 - 117. Suppose 0 = -r + 1, -n + 20*r + 32 = 22*r. Calculate the lowest common multiple of h and n.
240
Let q(m) = m**3 + 12*m**2 - 12*m + 17. Let j be q(-13). Let z(v) = -v + 5*v + j - 2 + 0. What is the smallest common multiple of z(1) and 8?
24
Let x be ((-6)/10)/(8/120). What is the least common multiple of 26 and (1 + x)*10/(-8)?
130
Suppose -4 + 12 = -4*d, 3*a - 5*d = 13. Let q = -205/4 - -51. What is the common denominator of 2*a/(-168)*(-24 - -2) and q?
84
Let u = -31779072/269 + 118138. What is the common denominator of -54/11 and u?
2959
Suppose 60*x = 58*x + 64. Calculate the smallest common multiple of 564 and x.
4512
Calculate the smallest common multiple of (7 - (-1 - -1))/(37 - (-4140)/(-112)) and 4.
196
Suppose 4*g - 196 = -3*h, 3*g - 39 + 292 = 4*h. Calculate the lowest common multiple of 15 and h/(-288) + -92*(-2)/18.
30
Calculate the common denominator of -131/966 and (-21 - -2) + (-55875)/(-2875).
966
Suppose -26*b - 2275 = -8671. Find the common denominator of 779/b*(-2)/(-11) and 15/160*(-1016)/(-18).
264
Let d(x) be the third derivative of -15*x**4/8 - 85*x**3/3 + 170*x**2. What is the least common multiple of 30 and d(-4)?
30
Suppose -2*k + 56 = -6*k. Calculate the smallest common multiple of (-1*1)/(2482/357 - 7) and 2/k - (-636)/42.
105
Let s(u) = u**3 - 7*u**2 - u + 18. Let b = -1/5357153 + 253055836269/42857224. Let k = b + -5892. Find the common denominator of s(7) and k.
8
Let i(r) = r**3 - 5*r**2 + 2*r - 460. Calculate the least common multiple of i(17) and 338.
3042
Let c = 84904/9 - 9442. Find the common denominator of (-29)/3 + 20/(-30) and c.
9
Suppose 2*z - 1980 = -b, 5*z + 942 = b + 5878. What is the lowest common multiple of 36 and z?
8892
Let u(b) = -3*b**3 - 17*b**2 - 10*b + 14. Calculate the lowest common multiple of u(-5) and 3076.
21532
Suppose -63*v + 15481 = -4175. What is the least common multiple of 28 and v?
2184
Calculate the common denominator of -11/2445 and 2 + (17 - 21 - -2) + (-75)/652.
9780
Suppose -3*r + l = -0*r + 179, -r - 62 = 2*l. What is the least common multiple of 560/r*(-72)/14 and 72?
144
Let v be (56 + 2)/(-7 - (8 - 14)). Let m = 142 + v. What is the lowest common multiple of m and 6?
84
Let g be 63173/(-8932) - (-3*5)/3. Let w = g - -85/58. Calculate the common denominator of 61/56 and w.
56
Let j = 1702564954 + -607815161650/357. Let q = j - 10323/7. Find the common denominator of q and -149/24.
408
Calculate the common denominator of ((-18)/264)/(45/(-3054)) + (-4)/10 and 89/1198.
13178
Let v be (-4)/356*(-11)/880. Let u = 2240299970207/4272 - 524414790. Let x = v - u. What is the common denominator of x and 29/30?
30
Let i be 1 + 3 + 7 + -12. Let o(m) = 2*m**3 + m**2 + 3*m + 3. Let n be o(i). Calculate the common denominator of -43/21 and (-27)/(-21) + n - 3475/(-210).
42
Suppose 5*i - 5*x = 895, -6*i + 3*i - 5*x = -529. Let p = i + -3197/18. What is the common denominator of -111/176 and p?
1584
Let h = 130241/44 + -2960. Calculate the common denominator of -137/36 and h.
396
Suppose -8*t + 937 = -1047. Suppose -9*c + 1076 = t. What is the smallest common multiple of c and 40?
920
Suppose 2*v = -14*v - 512. Let j be (-1 + -6)*18/7. Let x = j - v. Calculate the least common multiple of 20 and x.