**2 - 19*b - 3*b**2. What is the lowest common multiple of z(w) and 20?
420
Suppose -27*n = -32 - 49. Suppose -n*f = 2*z - f - 10, z + 2*f = 0. What is the lowest common multiple of z and 5?
10
Calculate the smallest common multiple of 21 and 1327/3 - (-18 + 928/48).
441
Let w = 6137 + -6025. Calculate the lowest common multiple of w and 1736.
3472
Let w = 1028 - 958. Calculate the smallest common multiple of (-499)/(-5) + 5*3/75 and w.
700
Suppose 0 = 17*k - 5*k - 432. Suppose 39*c + k = 42*c. Calculate the least common multiple of (-6)/18 + 13/3 and c.
12
Let l(s) = -7*s - 2. What is the lowest common multiple of l(-5) and (-36)/10*((-4686)/2574 + (-10)/(-65))?
66
What is the common denominator of 30/1123 and (156/(-3003))/(4/(-56))?
12353
Let z = 6382 + -6294. Suppose -29*f - 60 = -32*f. Calculate the least common multiple of f and z.
440
What is the common denominator of -8*1 + -11 + 215475/11430 and 29/84?
10668
Let p be ((-4)/(-6))/((-2)/(-114)). Let j = p + 71. Suppose -5*k = -2*d - j, -k - 2*d = -3*d - 23. What is the lowest common multiple of k and 21?
21
Let t(a) be the third derivative of a**5/60 - a**4/8 + a**3/2 - 9*a**2. Let u be t(3). What is the smallest common multiple of u/(8/((-80)/(-15))) and 6?
6
Suppose -25*a + 1456 = 181. Suppose -2*o - o = 4*i - 239, 0 = -i + 2. Let b = o - a. What is the smallest common multiple of 4 and b?
52
Calculate the lowest common multiple of (-3 + (-9 - -7)*15)*-19 and 81.
16929
Suppose -29*z + 26*z + 51 = 0. Suppose -132 = -z*i + 11*i. Suppose c - 1 = -2*n + 1, 3*c - 18 = -2*n. Calculate the smallest common multiple of i and c.
88
Find the common denominator of 73/9 and 63/(2079/(-1430))*(0 - 4/(-530)).
477
Let q be (-3)/21 - (6 - (-85)/(-7)). What is the common denominator of -38/9 and q/4 + 588/(-72)?
9
Suppose 0 = -2*t + 9*t - 56. Let w(s) = 5*s - 25. Let k be w(t). Calculate the least common multiple of 12 and ((-14)/21)/((-1)/k).
60
Let v = -17112 + 17262. Calculate the least common multiple of v and (2 + 1)*20/6.
150
Suppose -817 = -r - 4*j + 5*j, -5*r = 2*j - 4078. Suppose 57*b - 9*b = r. Calculate the least common multiple of b and 12.
204
Find the common denominator of (-4)/(-8)*14 - 96/44 and 95/(-4) + 40/10.
44
Find the common denominator of 50/61 and (759/(-828))/(122/(-54)).
244
Let z(g) = 5 + 8 + 1 + 3 - 5 + 14*g + 2*g**2. Let r(w) = -w**2 - w + 24. Calculate the smallest common multiple of z(-8) and r(0).
168
Let q = 66/533 - -18365/36777. Find the common denominator of q and -4 + 3/(-60)*-214.
690
Suppose 5*n = 51 - 31. Let m be -8*(0 - n/(-8)). Calculate the smallest common multiple of 44 and 48/14 + m/(-7).
44
Let r = -8722 - -78541/9. What is the common denominator of 15/5248 and r?
47232
Suppose 92*i = 93*i - 3. Suppose d + d = 2*c - 16, 0 = i*c + 4*d - 10. Suppose -72 - 24 = -4*p. What is the smallest common multiple of c and p?
24
Suppose 0 = -o + 2, -90*h = -91*h + 4*o + 6530. What is the lowest common multiple of h and 6?
19614
Let a = -4607/60 - -77. Let n = 7861 - 157117/20. What is the common denominator of n and a?
60
Let o = 1983 + -1980. Let l(n) be the second derivative of 2*n**3/3 - n**2/2 + 2*n. What is the least common multiple of l(2) and o?
21
Suppose -3*x = 4*x - 210. Calculate the least common multiple of (-1 - 23)*104/(-208) and x.
60
Let m(r) = r**2 + 129*r + 1964. What is the smallest common multiple of m(-112) and 1044?
5220
Let j be (24/15)/(36/15 - 2). Suppose 5*y + 6 = 16, -2*o = j*y - 12. Let a = 1 + 0. Calculate the least common multiple of o and a.
2
Find the common denominator of (1/10)/(48/110) and 17/(-18 - 322)*(42 + 31).
240
Suppose -x + 5*c + 36 = 0, -3*x + x = -5*c - 72. Find the common denominator of ((-184)/(-36))/(72/27) and (0 - (-1394)/x) + (-94)/423.
12
Suppose -12*s + 112 = -5*s. What is the common denominator of -43/7 and (12 - s)*(-5)/22?
77
Let l be -38*(-20)/16 - 3/(-2). Suppose -392 = 42*i - l*i. Calculate the lowest common multiple of i and 9.
504
Suppose 0 = c + 5*g - 479, 2*g - 1398 = -25*c + 22*c. Calculate the smallest common multiple of c and 2.
464
Suppose -187 = 3*u + 13*j - 8*j, 5*u = -2*j - 318. What is the least common multiple of 5 and (-170)/(-4)*u/(-40)?
340
Suppose 18*a = 254 + 196. Suppose 12*g + a = 61. What is the lowest common multiple of g and 17?
51
Let f = 474 + -462. Calculate the smallest common multiple of 2290 and f.
13740
Let x = 74 - 52. Let q be (-28)/(-8) - (-9)/(-6). Suppose -3*r + 80 = -2*i + 3*i, -4*i - 44 = -q*r. Calculate the smallest common multiple of r and x.
286
Let a = -1910271/10 + 191020. Let s = 7323/1190 - 7/85. What is the common denominator of a and s?
70
Suppose -2*m = o - 30, 0 = 4*o + 168*m - 167*m - 99. Let f(l) = l**2 + l + 18. Calculate the least common multiple of o and f(0).
72
Suppose -126*o = 2*y - 130*o - 7252, 2*o - 3622 = -y. What is the smallest common multiple of y and 88?
39864
Let s = 189914234 - 406796279413/2142. Let z = 96/119 + s. Let x = 3/2543 - -94055/30516. Calculate the common denominator of x and z.
36
Suppose 48236 + 9298 = 223*y. What is the lowest common multiple of y and 258?
258
Let u(j) = -23*j - 2277. Suppose -5*h - 2*s = -100, -5*h + 66 = 4*s - 34. Calculate the smallest common multiple of u(-121) and h.
5060
Let j = -254/11 + 1625/88. What is the common denominator of j and 43?
8
Let g = 34089875 - 1022846831/30. Let t = -5014 - g. Calculate the common denominator of -1 - (-4 - (-517)/330) and t.
30
Let d(l) = 159*l**2 - 225*l + 1077. Calculate the lowest common multiple of d(5) and 2805.
19635
Find the common denominator of 486/(-98) + ((-6270)/33)/(-38) and (-34)/(-168) + 2/(-3).
196
Let d(j) = 1711*j**2 - 23*j + 7. What is the smallest common multiple of d(1) and 30?
3390
Suppose -2*g + 0*g + 41 = -3*c, 4*g = 5*c + 83. Let k = 10531 + -10523. Calculate the smallest common multiple of k and g.
88
Let h be ((-6)/(-4))/(357/(-1666)). Let t(b) = -5*b + 0*b - 8*b**2 - 3*b - 2 - b**3. What is the smallest common multiple of 8 and t(h)?
40
Let d(z) = 177*z. Let l be d(1). Find the common denominator of (-2709)/(-63) - (-1528)/(-48) and l/99 + 0/2.
66
Suppose -7 - 17 = -3*j. Let w(s) = -6*s**2 + 29*s + 39. Let c be w(6). What is the common denominator of (c/j)/(((-42)/284)/7) and 73/14?
28
Let m = 8006 + -7964. Calculate the least common multiple of 574 and m.
1722
Suppose 5*w = -4*v - 0*v - 1725, 3*v - w + 1289 = 0. Let d = -30925/72 - v. What is the common denominator of -59/24 and d?
72
Suppose -17*a = -15*a - 6. Let p(l) = 1 + 0 + a + 27*l - 1. Calculate the lowest common multiple of 4 and p(1).
60
Let c(j) = -49*j - 1325. Calculate the lowest common multiple of c(-41) and 1710.
3420
Suppose 5*u - 48 = u. Suppose 3*s - o - 21 - 13 = 0, -5*o - 60 = -4*s. Calculate the common denominator of (1/((-4)/u))/s and -37.
10
Let l(v) be the second derivative of -v**4/12 - 5*v**3/3 - 4*v**2 + 19*v - 1. Calculate the least common multiple of 20 and l(-2).
40
Let g(k) = k**3 + 8*k**2 + 8*k + 3. Let t be g(-7). What is the least common multiple of 8 and t/14 - ((-510)/21 - 6)?
120
Let x = 12038 + -144593/12. Find the common denominator of x and 70/909.
3636
Let f(a) = a**3 + 6*a**2 + 4*a + 3. Suppose -4*h = -5*r + 34, 4*r = -2*h + 16 + 32. Suppose 8*n = r*n - 36. Calculate the lowest common multiple of f(-5) and n.
72
Let d = -301 + 321. Find the common denominator of (0 - 41/2)/11 and (-102)/d + (125/(-5))/(-5).
110
Suppose -4 = -3*n - n. Let v(l) = -24*l**2 + 3*l - 4. Let s be v(n). Find the common denominator of 4 + s/(-6) + 3 and 18/5.
30
Find the common denominator of 2 + (-668)/840 + 3/(-14)*2 and 109/180.
1260
Calculate the common denominator of 6/(-4) + 12/32 and (-4)/6*1833/(-572).
88
Suppose 0 = -3*x + q + 1155, -3*q + 1917 = 5*x - 2*q. What is the least common multiple of 30 and x?
1920
Let n = -4/51 + 2609/102. Calculate the common denominator of (7/395)/((1207/(-85))/71) and n.
158
Let v be 42/15 - 9/(-45). Calculate the least common multiple of -4*(v + -4) + (5 - 5) and 32.
32
Let j be (59 + -62)*(-320)/6. Let f = 166 - j. What is the smallest common multiple of f and 33?
66
Let i be ((-155)/62)/(((-6)/(-4))/3). What is the common denominator of 41/18 and (-2)/i*2860/(-48)?
18
Let m = 1347 + -3475. Let n = m - -7615. Let z = n + -120775/22. Ca