et p = -70397/9 + 7823. Let t be -4 + 2 + (-147626)/(-33). Let w = t - 4470. Calculate the common denominator of w and p.
99
Suppose 56*d = 55*d - 3*r + 68, 2*d - 136 = r. Calculate the lowest common multiple of d and 24.
408
Let q(m) = -66*m - 275. Let g be q(-5). Suppose 5*u - g = 675. Calculate the lowest common multiple of 18 and u.
1314
Let w = 5 - 0. Let y(t) = 33*t + 913. What is the smallest common multiple of (w/15)/((-1)/(-18)) and y(-27)?
66
Suppose -38*d + 1672 = -2564 - 3668. What is the least common multiple of d and 130?
1040
Let o = -1799348 + 3787719. Let y = o - 19905681/10. Let q = y - -2201. Calculate the common denominator of -25/14 and q.
70
Suppose 20 = -3*v + 8*v. Let f(m) = 59*m - 71. What is the lowest common multiple of f(v) and 105?
1155
Let a = -725 + 731. Calculate the common denominator of 25 and (a/(-108))/(4/57).
24
Let r = 94 - 245. Let j = r + 269. Find the common denominator of j/20 - 10/(-50) and 39/11.
110
Let w = -288138 + 1152543/4. Let h = 53452 - 6200485/116. Find the common denominator of w and h.
116
Let n be 3408/32*(-4)/(-3). Let h = n - 84. Suppose 0*l + 2*l - h = 0. Calculate the common denominator of l and 82/15.
15
Let h = 528873/2 + -145969069/552. Calculate the common denominator of h and 49/276.
552
Let v = -1 - -7. Let s(a) = 112*a - 27. Let z be s(-2). Let x = -245 - z. What is the lowest common multiple of x and v?
6
Let n = 2173 + -1210. Let s = -913 + n. Calculate the lowest common multiple of s and 115.
1150
Let c = -20088 - -21098. Calculate the lowest common multiple of c and 30.
3030
Let f be 20 + (-22)/(-11) + 4/2. Suppose -b + f = -4*j, b + 2*b + j - 20 = 0. Calculate the smallest common multiple of 46 and b.
184
Let h(w) = -w**3 + 11*w**2 + 27*w - 209. What is the smallest common multiple of 34 and h(9)?
3332
Let c = 19 + -29. Let a be (8/c)/((-4)/(-7570)). Let j = a + 6117/4. What is the common denominator of 29/7 and j?
28
Suppose -129*o + 59*o + 95*o = 50000. What is the smallest common multiple of o and 850?
34000
Let i(w) = 9*w**2 + 26*w + 32. Calculate the smallest common multiple of 20 and i(-6).
200
Suppose -3*s - r - 108 = -131, s - 10 = 2*r. What is the lowest common multiple of s and -1 + (-1 - (-12)/2)?
8
Let u = -2349 - -2358. What is the smallest common multiple of u and 888?
2664
Let d = 112662331/11 + -10223531. Let j = d - 3256589/176. Let n = j - -91/44. Find the common denominator of n and -125/18.
144
Let o = 33 - 13. Let v = 44 + o. Let q = -44 + v. Calculate the smallest common multiple of q and 6.
60
Let g = -186 - -198. Suppose -20*c + g*c = -16. Suppose 0*x + 4*x = 40. What is the least common multiple of x and c?
10
Suppose -13*f + 55 = -8*f. Suppose -6 = -2*o - x, 7*x - f*x - 21 = -o. What is the smallest common multiple of 105 and o?
105
Suppose -2*a - 5*b = -627, -5*a + 41 + 1501 = 4*b. Calculate the smallest common multiple of a and 255.
1530
Suppose -b + 3*b - 3538 = 0. Let x = -17671/10 + b. Calculate the common denominator of 4/((-4)/(-61))*19/(-114) and x.
30
Suppose 76*w = -7778 + 8158. Let z = 35 - -20. Suppose 68 = w*v - 4*o, 4*v + 0*v - 3*o = z. What is the least common multiple of 18 and v?
144
Let p = 500 + -415. Suppose 19*x - 14*x + 5*y = p, 9 = x + 3*y. What is the lowest common multiple of x and 1?
21
Let m(w) = 15*w**2 + 8*w + 7. Let f be m(-5). Let p be f/12*(68/6 - 2). Calculate the common denominator of 32/9 and 1*-1 - p/(-77).
99
Let y = -3219 + 3227. Calculate the least common multiple of y and 4 + -1 + (-73)/(-1).
152
What is the smallest common multiple of 20/15*3/4 and 32?
32
Suppose 149*d - 1466 + 210 = 532. Let w(g) = -2*g + 1. What is the lowest common multiple of d and w(-4)?
36
What is the common denominator of -25/144 and 11/4 - 44912/17280?
2160
Let d(k) = 81*k**2 + 134*k + 5. Calculate the least common multiple of 180 and d(1).
1980
Suppose 4*v - 83 + 23 = 0. Let h(m) = m**3 - 15*m**2 + m - 10. Let a be h(v). Find the common denominator of 24/7 and 66/(-40) + -1*(5 - a).
140
Let z = -5424309/526630 - -2/52663. What is the common denominator of 1/4 + 53/(-170) and z?
340
Let n be (-84589307083)/2223 - -1 - 3. Let c = n - -38051873. Let k = c + 5/988. Calculate the common denominator of -9/10 and k.
180
What is the common denominator of -181/420 and -1 - -13 - 185817/14490?
420
Let f(g) be the third derivative of 0 + 0*g**5 - 33*g**2 + 7/60*g**6 + 0*g + 0*g**3 + 1/12*g**4. Calculate the least common multiple of 154 and f(1).
1232
Let q = -49151/10056 - -16/1257. Let l be (10 - -1)/((-1)/(-10)). Calculate the common denominator of q and (-84)/l*(-10)/8.
88
Let j be 4/(-2 + 0) - -4. Let c = 19824 - 475873/24. Calculate the common denominator of (-4)/j + (-26)/(-24) and c.
24
Find the common denominator of -29/5652 and (8/(-20)*(-85)/3)/(832/(-234)).
22608
Let f(c) = c**2 + 9*c + 19. Let p be f(-5). Let j(l) = 2 - 10*l**3 - 22*l**3 + 3*l + 2*l**2 + 0. What is the lowest common multiple of 27 and j(p)?
297
Let k be (-40130)/(-75) + (-4)/60. What is the common denominator of 97/180 and -2 + (k/(-90) - (-6 - -3))?
180
Suppose 207*b - 145*b = 4960. Calculate the least common multiple of b and 5280.
5280
Suppose -2*f = k - 61 + 201, -3*f = -3*k + 219. Let b = f - -67. Calculate the common denominator of (-6)/b + ((-1365)/112)/3 and 5/18.
144
Let c = 2701/3 + -899. What is the common denominator of c and 16/2905?
8715
What is the common denominator of -63/5 and -2 + (-100)/3300*321/(-5)?
55
Let y = 458 - 422. Suppose -44 - 1 = -3*r. Calculate the smallest common multiple of r and y.
180
Suppose 3*o = -333*z + 330*z + 30, -3*o = z - 24. Suppose t + y + 110 = 5*t, -5*t = -3*y - 134. Calculate the lowest common multiple of t and o.
28
Let u = -222 - -227. Find the common denominator of ((-11)/(-3) - u)*(-116)/56 and 74/57.
399
Calculate the lowest common multiple of 1/15 - (15294/(-30))/(19 + -16) and 2720.
2720
Let x(n) = n - 2*n - 4*n + 3*n. What is the least common multiple of x(-5) and 1000/45 + 6/(-27)?
110
Let s = -235 + 240. Suppose 5*p - 5*g = 75, p - 3*g = -0*p + s. What is the smallest common multiple of p and 28?
140
Let m = -3654 - -29191/8. Let b = 25243/16492 - -3/589. Calculate the common denominator of b and m.
56
Let r(g) = 16*g**2 - 12*g - 159. What is the lowest common multiple of r(4) and 854?
5978
Calculate the common denominator of -89/110 and ((-1385)/(-10) - 5)*(-16)/(-92160).
42240
Suppose 22 = n + 4*x, -4*n - x = 3*x - 28. Suppose -3*a + 30 = n*a. Suppose -56*c + 21 = -53*c. Calculate the lowest common multiple of c and a.
42
Let a(h) = 17*h**3 + 3*h**2 + 2*h + 4. Let g be a(3). Calculate the common denominator of (-8)/28 - g/126 and 4 + 254/20 - 6.
90
Suppose 3*i = -p + 322, 0 = -3*i + i + 4*p + 224. Let r = -81841 - -81857. What is the smallest common multiple of i and r?
432
Suppose -10*x + 26 = 3*x. Suppose -x*f + 4 - 10 = 0. Calculate the common denominator of 131/24 and -174*(6/4)/((-180)/f).
120
Let w = -4 + 4. Suppose w = 5*b - 7*b + 72. Calculate the common denominator of 119/12 and (-37)/b*(-9)/6.
24
Let y = -64695 - -5175513/80. What is the common denominator of -5 + 10 + (-21)/(-135)*(-147)/6 and y?
720
Let l(a) = 8*a**2 - 6*a**3 + 8*a**3 - 15*a**2 - 7. Suppose 3*k - 2 = 4. What is the smallest common multiple of l(4) and k?
18
Let o = -830 + 834. Let s = -97 + 137. Calculate the smallest common multiple of s and o.
40
Suppose -x + 3*x = -3*o + 1300, 434 = o + x. What is the least common multiple of o and 234?
5616
Suppose 0 = 5*b - 2*b - 0*b. Suppose 3*k - 4*x = -k + 108, 4*x + 20 = b. Suppose 0 = -p + 4. Calculate the lowest common multiple of k and p.
44
Let x = 4963 - 4923. What is the lowest common multiple of x and 144?
720
Let x = -34/63 - -61/36. What is the common denominator of x and (-3*994/3780)/((-5)/20 - 7/20)?
756
Suppose -3*j + 9 = 18. Let d be (62/(-3) - 1)/(j/9). Let r = d + -47. Calculate the smallest common multiple of r and 8.
72
Suppose 168 = 18*v - 22*v. Let b = v + 86. Suppose -2*p = 5*l + 13, 4*p + 2*l = 3 + 11. What is the lowest common multiple of b and p?
132
Let r = -27 + 15. Suppose -44 = -2*h - 4*i, 2*h + 0*h - 41 = -i. Calculate the lowest common multiple of h and (r/10)/((-3)/50).
20
Let w(f) = f**3 + 7*f**2 + 2*f - 4. Let v be w(-6). Let u = v - -7. Suppose 