 -16*((-6)/(-15) + (-22)/(-20)). What is the common denominator of (82/(-16))/(b/(-32)) and (49 + -2)/(6/(-4)*6)?
18
Suppose -5*y + 56 = 3*t, -7*t + 6*t = -3*y + 28. What is the least common multiple of y and ((-28)/(-5))/((-2)/(-5))?
70
Suppose 50*l + 2*o + 2681 = 53*l, 5*l - 5*o - 4475 = 0. What is the smallest common multiple of l and 594?
1782
Find the common denominator of (-28)/(-2) + (-13884)/1080 and -29/45.
90
Let f = 184 + -159. Let b = 1580/3 + -9509/18. Calculate the common denominator of b and (-6*f/(-4))/(-12).
72
Find the common denominator of 161/510 and 33 + -36 + (-10586)/(-3570).
3570
Let a(k) = k**3 + 18*k**2 - 43*k - 448. What is the least common multiple of 14728 and a(-19)?
14728
Let t be 2942/((-6)/2 - (-234)/81). Let u = t - -635573/24. What is the common denominator of u and -47/120?
120
What is the least common multiple of 6 and 10/8 + -11 + 1 + (-6975)/(-36)?
1110
Suppose -13*x + 6 = -10*x. Suppose 0 = -4*l - x*z - 32, 3*l - 4*z = -2*l - 14. Calculate the common denominator of -35/24 and 50/(-45) - (-1)/l.
72
Suppose s = -0*s + 35. Let p = s + -2. Let h(i) = -7*i. Calculate the smallest common multiple of h(-3) and p.
231
Let d = -3178303303/4728 - -672230. Find the common denominator of -79/120 and d.
23640
Suppose 4*x - x = l + 4, x + 2*l = 6. Suppose -29 - 55 = x*w. Let p = w - -51. What is the lowest common multiple of 2 and p?
18
Let t be ((-480)/27 - (-14)/(-63))/(-1). Suppose -t*l + 21 = 3. What is the lowest common multiple of 1 and l?
1
Let x = 20545/6 - 3414. Let i = -89181/8618 - -1342/139. Calculate the common denominator of x and i.
186
Let z(l) = 16*l**2 - 39*l - 142. Let o be z(-4). Calculate the common denominator of 224/(-35) + 7 + (-392)/o and 17/21.
189
Let x(i) = i**2 + 9*i + 13. Let y be x(-6). Find the common denominator of -97/24 and (19/(-6))/(2/y*-1).
24
Let k = -829 - -9883/12. Find the common denominator of k and (-4)/6 + (-66)/(-9).
12
Suppose -3*x + 23 + 15 = v, -2*x = 3*v - 107. Suppose -698*h - 5*f + 110 = -694*h, -26 = -h - 2*f. Calculate the smallest common multiple of h and v.
210
Suppose -4*r + 8*o + 852 = 4*o, -2*r - 4*o + 414 = 0. Let v = r + -184. What is the smallest common multiple of 75 and v?
675
Suppose -2*x + 3*d - 8 = 0, -3*d + 8 = 5*x + 49. Let w = 36725/8 - 4585. Calculate the common denominator of w and -4 - ((-8)/35)/(x/(-182)).
280
Suppose -2*z - 5*b + 267 = z, -4*b = 3*z - 264. What is the common denominator of 209/22*28/(-294) and 922/z + 14/(-98)?
42
What is the lowest common multiple of (-195 + 201)*((-4)/(-8))/((-3)/(-1464)) and 1098?
4392
Suppose -5017 = -23*j + 2611 - 958. What is the least common multiple of j and 90?
2610
Suppose -3*b - 963 = -2*t, 3*t + b - 474 = 2*t. What is the common denominator of 3/(-6)*t/108 and -254*((-46)/24 + 2)?
24
Suppose 5*h - 4212 = -13*h. What is the common denominator of -83/12 and (-8)/12 - (-447)/h?
156
Let r = -11/3440 - -5617/75680. Let n = 5856669/11 + -532428. Find the common denominator of n and r.
352
Let f = -11325349/4670280 - 2/116757. Calculate the common denominator of 39/92 + 0 + 0 and f.
920
Suppose -61*p + 12 = -57*p. Suppose -4718 = -p*t + 2134. Let f = t + -11477/5. Find the common denominator of 77/2 and f.
10
Suppose -5*m + 0*m = -100. Suppose 0 = -m*g + 15*g - 10. Calculate the least common multiple of (g/(-6))/((-1)/(-6)) and 11.
22
Suppose -507*t + 9 = -506*t. What is the smallest common multiple of t and (-18)/((-7)/189*2)?
243
Let s(o) = -10*o - 72. Let j be s(-12). Suppose -j = 73*d - 77*d. What is the least common multiple of 2 and d?
12
Let r = 7 + -2. Let p = -3 + r. What is the smallest common multiple of p and 5*115/25 + 2/(-2)?
22
Suppose 9*c - 4*c = 0, -c + 168 = 2*y. Let r = 124 - 103. Calculate the smallest common multiple of r and y.
84
Let a be 4/5 + (-118180)/475. Let b = 274 + a. Suppose 4*n + 0*l + l - 19 = 0, 0 = -5*n - 4*l + 10. Calculate the lowest common multiple of n and b.
78
Let m(i) = 6*i + 69. Let u be m(-16). Let x = -47 - u. What is the lowest common multiple of 39/4 + 2 + 35/x and 18?
90
Let w = 1/17946 + 995993/179460. What is the common denominator of -79/20 and w?
20
Let v = 538 + -534. Suppose 3*q = -6*w + w + 45, 4*w + v*q = 44. What is the least common multiple of w and 368/14 - (-2)/(-7)?
78
Let c(r) = -5*r**3 + r**2 + 14*r + 116. Calculate the smallest common multiple of c(-7) and 297.
1782
Calculate the common denominator of 63/656 and ((138/(-160))/(-3))/(3/(-18)) + 3.
3280
Let v = -16 - -27. Let x(d) = d**3 - 12*d**2 + 11*d - 19. Let n be x(v). Let r = 43 + n. Calculate the least common multiple of r and 12.
24
Let z = -574 - -2665. Let l = z + -900. Calculate the least common multiple of l and 5.
5955
Let b be (3/3)/((-13)/104). Suppose -5*l = -5*v - 13 - 7, 10 = -5*v. Find the common denominator of -59/22 and (138/b - 1)*l.
22
Suppose 95 = 3*r - 5*v, 17*r - 2*v + 0*v = 354. What is the lowest common multiple of 38 and r?
380
What is the smallest common multiple of 3510 and 5640/468 + (-16)/312?
7020
Suppose -4*n + 0*n + 2*o + 1190 = 0, 1175 = 4*n - 5*o. Suppose -44*t - p - n = -49*t, -p = 0. Calculate the smallest common multiple of t and 42.
420
Let b = 198455708/10885 + 128814/311. Let d = 18648 - b. What is the common denominator of -91/45 and d?
315
Let z(v) = -6*v - 1. Let p be z(-4). Let h = -67 + 125. Suppose 3*w + o = -4*o + p, 3*w = 2*o + h. Calculate the lowest common multiple of w and 14.
112
Let w(h) = h**2 + 4*h - 28. Let z be w(-8). Find the common denominator of -99/20 and z/30 - 1849/5160.
40
Let n be 80/15*3/2. Let v be ((-26)/n)/((-14)/56). What is the common denominator of -46/9 and v + -15 - 37/(-9)?
9
Suppose 56532 - 147977 = -3*m + 4*c, -c + 121952 = 4*m. Let x = 1829317/60 - m. Calculate the common denominator of x and -1/48.
240
Suppose t + 60 = 2*t. Let b be (-516)/(-84) - 24/21. Calculate the common denominator of -43/8 and 20/b - (-99)/t.
40
Suppose -5*n = -9*n + 36. Suppose -n*d + d + 64 = 0. What is the lowest common multiple of 4 and d?
8
Let i = 2087/14 - 191633/1288. Find the common denominator of i and -73/920.
920
Suppose 45 = 7*g - 2*g. Let s(a) = 2*a**2 - 9*a + 14. Suppose -4*q + 4 = 2*k - 12, -k = -3*q + 2. Calculate the smallest common multiple of s(k) and g.
90
Calculate the smallest common multiple of 96 and 1/((-75)/180)*(-120)/9.
96
Let k = 1783 + -1021. Calculate the common denominator of -4 - (k/(-198) + -1) and 74/93.
1023
Let u = -92 + 92. What is the least common multiple of 22 and (-2)/((-3)/(18 + u))?
132
Let a = 7155109/19032144 + 3/147536. Calculate the common denominator of a and 46/129.
258
Let w(y) = -y + 6. Let s = 89 - 87. Suppose -5*r + 14 = -s*a - 42, -r = 4*a - 20. Calculate the smallest common multiple of w(-12) and r.
36
What is the common denominator of 83/375 and 70/(-875) - (-939)/(-2250) - (-2)/4?
375
Let p be 1/(-1 + (-24)/(-22)). Suppose -j = -3*w - 19 + 28, 0 = -3*j - 5*w + 71. Calculate the smallest common multiple of p - (1 + (-6)/3) and j.
12
Let x = 578937863/33498 + 22677/1861. Let m = x - 17287. Find the common denominator of m and -5/6.
18
Let r = -511/72 + -16/9. What is the common denominator of 267/1*(-4)/(-168) and r?
56
Let n = 10463 - 10327. What is the smallest common multiple of n and 289?
2312
Find the common denominator of 31/1985 and ((-3250)/220)/25*2.
21835
Let i(x) = -176*x - 13722. Let b(s) be the first derivative of -5*s**2/2 - 8*s + 2. Calculate the least common multiple of b(-6) and i(-78).
66
Let f = -16/813 + 10532/369915. Let v = 2383/12285 - f. Calculate the common denominator of v and 38/15.
135
Let i(l) = 151*l - 179. What is the lowest common multiple of i(2) and 234?
9594
Let c(y) = -21*y + 1514. What is the lowest common multiple of 4 and c(18)?
1136
What is the common denominator of ((-1716)/208)/((-1875)/20) and -87/2?
250
Let c be (25408/(-14))/((-2)/12). Let d = c + -15245563/1400. Find the common denominator of d and -115/18.
1800
Let t(y) = -2*y**3 - 58*y**2 - 52*y - 663. Calculate the least common multiple of 145 and t(-29).
24505
What is the common denominator of 139/1038 and 10324/(-6675)*10*(-3)/12?
5190
What is the common denominator of ((-6)/8)/((-216)/9888)*(-4)/352 and -7/44?
264
Let z = 44 + -24. Calculate the least common multiple of (-4 + (