 (-27)/(-11))*(7 - 775/135).
29304
Let y = 4/289 - 3049/32368. Find the common denominator of -101/560 and y.
560
Let m = 68 - 78. What is the common denominator of -79/117 and ((-1)/m)/(4*6/(-408))?
1170
Suppose -1116*t + 1113*t + 6 = 0, -4*a - 3*t + 198 = 0. Calculate the lowest common multiple of 2556 and a.
10224
Let d = -23120 - -23224. What is the least common multiple of 636 and d?
16536
Suppose 2*y - 38*p + 40*p - 60 = 0, 118 = 4*y + 3*p. What is the smallest common multiple of y and 350?
700
Let d = -1/2515 - 17099/7545. Suppose -24 = 4*v - 0. Find the common denominator of (-9)/v + (-70)/(-12) and d.
15
Let s = 735789/79 + -9314. Let b = s + 2929/395. What is the common denominator of b and ((-824)/160 - 6/(-4))*-2?
10
Let u = -685 - -708. Let y be (3 + -4)/(1/(-2)). Calculate the common denominator of -2*1 - u/y and 23/22.
22
Let r = -6872 + 6913. Calculate the smallest common multiple of 107 and r.
4387
Let q be (-8)/16 + 10/4 - -69. Let n be q/5*(3 - -2). Suppose -n = -15*j + 229. Calculate the smallest common multiple of 6 and j.
60
Suppose -22*h - 5*h = -29961 - 10431. What is the least common multiple of 198 and h?
13464
Let m be -6*9/(108/(-8)). Suppose -m*v - 20 = -0*v, z + 4*v - 7 = 0. Suppose -2*p = -z - 13. What is the smallest common multiple of p and 48?
240
Suppose 5*l = -14 - 116. What is the lowest common multiple of (l/(-10) - 3)*-30 and (-2 + -1)*(14/(-3) - -4)?
12
Let h = 308997/11 - 28089. What is the common denominator of h and 6/15 + 119/1440?
3168
Let w = 152 - 34. Suppose -32 = 2*k - w. Suppose -b = -3*d - 42, -b - 35 = 5*d + k. Calculate the common denominator of d and -39/2.
2
Let z = 4606 + -4587. Suppose -3*v - v = 0. Suppose -2*s + v = -4. What is the lowest common multiple of s and z?
38
Let v be (-6486)/(-9) - ((-5)/(-3) - 1). What is the common denominator of 1*((-3)/12 + (-1084)/v) and -67/30?
90
Suppose -c - c = 2*t + 4, 3*t = 3*c - 18. Let b = -208 + 213. What is the lowest common multiple of 21 - (-7 - (-3 + b/(-5))) and c?
24
Let x = -804/89 + 106558/11303. Let j = 7069/2794 - x. What is the common denominator of j and 41/88?
88
Suppose -5*m = -3*m - 40. Suppose -m = -6*l + 3*l - j, -j = 4. Let u = -288 - -310. What is the lowest common multiple of l and u?
88
Let s(y) = 15*y. Let g be s(14). Suppose -5*k + g = 2*k. Let u = k + -27. What is the smallest common multiple of u and 14?
42
Let k be (-11816)/20 + (-1)/5. What is the common denominator of -7/20 and k/180 - 30/(-6)?
60
Calculate the common denominator of 7/105 + (-6)/(-10)*(-28)/21 and -17/41.
615
Suppose 8*a + 1 = -7. Let j be (-62 + -18)*(a + 0). What is the common denominator of 65/2 and 24/j*130/(-72)?
24
Suppose -2*o - 4*u + 160 = 0, 0 = 25*o - 26*o - 3*u + 86. Calculate the lowest common multiple of o and 6.
204
Let k = -201099/25 - -8045. Let y = 39/17 + 925/34. Find the common denominator of y and k.
50
Suppose -3*r = -4*r + 4. Suppose 5*w = 4*q + 185, -r*w - w + 3*q = -190. What is the smallest common multiple of 7/(-11 - (-80)/6) and w?
123
Let b(i) = -i**3 - i**2 + 2*i - 2. Let w be b(-4). Suppose -42 - w = o. Calculate the common denominator of 11/10 and -1 + 0 - (-6)/o*62.
20
Let m(d) = 45*d - 225. Let p be m(12). Calculate the common denominator of ((-9)/(-1404))/((-6)/p) and 85/88.
1144
Suppose 12 = 8*l + 4. Calculate the lowest common multiple of ((-22)/66)/(l/(-21)) + 1 and 28.
56
Let h be (-4 + 168/64)/((-507)/(-3686)). Let o = 27/338 + h. Calculate the common denominator of 29/18 and o.
36
Suppose -2*r = -3*s + 12, 2*s - 5 - 3 = 0. Let v(d) = -2*d**2 - 2*d + 3. Let c be v(r). Calculate the smallest common multiple of c/9*0 - -27 and 3.
27
Let a(o) = o**2 - 22*o - 2351. Calculate the smallest common multiple of a(-39) and 2736.
19152
Suppose 22*y - 22 = 66. Suppose 280 = y*x + 216. Calculate the least common multiple of x and 136.
272
Let m(f) = 9*f**2 + 23*f - 49*f + 27*f. Let j be m(-1). Calculate the common denominator of 43/10 and 2/j + (-75)/36.
30
Suppose -235 - 123 = 2*n - 3*k, n = 2*k - 177. Let b = n + 199. What is the smallest common multiple of 4 and b?
28
Let q = 89015 + -109043316/1225. Calculate the common denominator of q and 47/10.
2450
Suppose 0 = -30*s - 15 - 75. Calculate the common denominator of 6/(-3*95/(-195) + s) and 37/2.
10
Let d be (-320)/(-64) - 469*1. What is the common denominator of 83/2 and 293/56 + (-58)/d?
14
Let k(v) = 7*v**2 - 181*v - 108. Calculate the least common multiple of k(27) and 306.
1836
Let x(y) = -y**3 + 6*y**2 - 5*y - 5. Let d be x(4). Find the common denominator of (260/18)/(6/9) and 78/(-8)*-4*d/(-77).
33
Let n(h) = 3*h**3 - 2*h**2 - 8*h + 6. Let j be n(3). Let y = j + -33. Calculate the least common multiple of y and 60.
60
Let o be -17 + 20 + -8 + 1 + -154. Let y = o + 215. What is the least common multiple of y and 27?
513
Find the common denominator of ((-62)/6 - -10) + 86/4 and 136/6 - (16/(-12) + 1).
6
Let o(v) = v**2 - 17*v - 54. Let f be o(20). What is the common denominator of 44/96 - 4/(-6) and f/(-2) - 212/(-40)?
40
Let g = -13 - -19. Suppose -2*c + 4*c - g = 0. Let l = -37192 + 37195. Calculate the lowest common multiple of l and c.
3
Let f(b) = -3*b**2 - b + 39. Let a be 6/4 + 9/(-6). Let k be f(a). Suppose -6 = -3*z + k. Calculate the smallest common multiple of z and 6.
30
Find the common denominator of 2/4 - 322/(-1848)*-10 and 17/803.
2409
Suppose -23 - 8 = -a + 4*b, 5*b + 168 = 4*a. What is the least common multiple of 18/12 + 66/4 and (-12)/(-20) + a/5?
90
Let r(t) = 178*t + 2. Let a be r(-2). Let f be (-27)/a + 0/3. Let c = 1253/590 + f. Find the common denominator of c and 31/2.
10
What is the least common multiple of (-15)/(-2)*(14880/(-72))/(-62) and 1585?
7925
Suppose -9*g + 7*g = 4. Let v be g/(-12) + 1501/(-9078). Let y = 114994/4539 - v. Calculate the common denominator of y and 59/6.
6
Suppose 0 = -22*l + 43*l - 903. Calculate the smallest common multiple of l and 36.
1548
Suppose -m = 4*y + 9, y - 8 = -3*m + 9. Calculate the common denominator of 2/m - 8/((-2016)/(-2018)) and -1/54.
54
Let u be ((-2)/8)/((-6)/(-72)) + -193. Calculate the common denominator of (48/(-32) - 1237/u) + -5 and -43/3.
588
Suppose 24 = z - 0. Let q be 1 + 8 - ((-840)/14)/(-12). Suppose 0 = 5*p - p - 12, q*p + 78 = 5*s. What is the lowest common multiple of s and z?
72
Suppose 28*b + 14*b - 26*b = 17424. What is the smallest common multiple of b and 726?
2178
Let f = 201 + -193. Let x(h) = -h**3 - 8*h**2 - 2*h + 8. Calculate the smallest common multiple of x(-8) and 12/f*(-8 + 10).
24
Let v = -197 + 207. Let s(w) = -w**2 - 4*w + 3. Let p(q) = 2*q**2 + 8*q - 7. Let h(i) = -2*p(i) - 5*s(i). Calculate the least common multiple of v and h(3).
20
Suppose -27*j - 269*j = -127280. Calculate the least common multiple of j and 430.
430
Let h = -2725081/48 - -56775. What is the common denominator of h and 79/1524?
6096
Let t = -20071 - -21466. Calculate the smallest common multiple of 496 and t.
22320
Let v = 56953/15690 + 211/523. What is the common denominator of 0 + 0 + (-148)/(-20) and v?
30
Let s = 3491143/114 + -30625. Let l = 1347/272 - -15/136. Calculate the common denominator of s and l.
912
Let w(p) = 11*p**2 + 14*p + 14. Let j be w(-4). Suppose -j = -5*y - n, 2*n = 4*y - n - 111. What is the lowest common multiple of 9 and y?
27
Let r be (128/60)/(18/20415). Let p = 2423 - r. Calculate the common denominator of 77/6 and p.
18
Let l = 302/407 + -213/74. What is the common denominator of (-344)/32 + 2/4 + 20/(-32) and l?
88
Let i = -6086 + 72893/12. Find the common denominator of 10073/4158 - (-2)/(-11) and i.
108
Let s(a) = -20*a**2 + 111*a + 62. Calculate the smallest common multiple of s(6) and 206.
824
Suppose 6908 = -5*y - 4*g - 0*g, 3*g - 9 = 0. Let q be (-6854)/(-5) - 3*(-6)/18. Let i = q + y. What is the common denominator of -59/36 and i?
180
Let n = 664 - 706. Let a = 96 + n. Calculate the least common multiple of a and 7.
378
Let k = 5324 - 319427/60. Calculate the common denominator of k and -35/72.
360
What is the common denominator of (5/(1600/(-84)))/((-3)/36) and 117/14?
140
Let c(p) = p**3 - 2*p**2 - 7*p + 16. Let y be c(2). Let z(k) = -1 + 1 - k**y + 7*k + 16. What is the least common multiple of z(8) and 1?
8
Let f(s) = s**3 + 38*s**2 + 155*s - 