te the common denominator of 1 - (16/t)/((-80)/(-216)) and 76/27.
135
Suppose -15*d = -20*d - 1030. Let z = -914 + d. What is the common denominator of 71/32 and ((-7)/(z/132))/((-1)/4)?
160
Let n be ((-4)/(-23154))/(-3*4/36). Let k = n - -355042/27013. Let b = k + -94/7. Calculate the common denominator of b and 37/47.
329
Let z = -2293/6 + 383. Suppose 22*u - 23*u + 30 = 0. Find the common denominator of (-72)/u*26/(-6) and z.
30
Suppose -1718 = 30*q - 40*q + 102. What is the lowest common multiple of q and 1014?
7098
Let b(z) = z**3 + 6*z**2 - 3*z - 6. Let m(p) = 483*p - 80652. What is the smallest common multiple of m(167) and b(-5)?
306
Suppose 5*w + 57 + 32 = 2*s, -2*s - 2*w + 110 = 0. Find the common denominator of 12/(-3) + 1*s/(-10) and -43/148.
740
Suppose -376*w + 49017 - 20065 = 0. Let r(t) = 2*t**2 + t - 1. Calculate the lowest common multiple of w and r(-5).
308
Let a = -44 - 113. Let o = a - -2327/15. Find the common denominator of ((-8)/(-11))/(74/((-8880)/(-90))) and o.
165
Let l(x) = -x**3 - 19*x**2 + 33*x - 134. Suppose -w + 5*t = -21, 8 = -4*w - 3*t - 23. Let u(q) = -2*q. Calculate the lowest common multiple of u(w) and l(-21).
440
Find the common denominator of (1953/168)/(5 + 39/(-6)) and 97/612.
612
Suppose -147 = 6*x + 261. What is the smallest common multiple of (-1028)/x - 11/((-561)/(-6)) and 3?
15
Suppose 5*t = -2*w + 4*w + 1354, 0 = 3*t - 5*w - 820. Calculate the least common multiple of 5 and t.
270
What is the lowest common multiple of 8/18 - ((6 - 376688/117) + -9) and 4688?
51568
What is the smallest common multiple of (-5 - (-1 - 1) - -2)*7905/(-51) and 35?
1085
Suppose 2*l + 6*l + 48 = 0. Let f(y) = y**3 + 5*y**2 - 5*y + 12. Let a be f(l). Calculate the common denominator of 405/(-60)*(-20)/a and 77/4.
4
Let h = -19873/10 - -1997. Let j be ((-739)/(-4))/((-14155)/(-1245)). Let x = j + 1/2831. Calculate the common denominator of h and x.
20
Let j = -2/1751 - -519/3502. Suppose 0*d + d + 2*q + 12 = 0, 32 = -3*d - 5*q. Find the common denominator of d*(-89)/64 + 3/(-12) and j.
272
Suppose -3 = 3*b - 2*u + 1, 5*b + 8 = 2*u. What is the common denominator of (-302)/(-156) + b/3 and (-3*(-3)/6)/((-120)/(-212))?
260
Let m = -7455 + 10689. Calculate the smallest common multiple of 204 and (8/14)/(132/m).
1428
Let w(t) be the first derivative of t**3/3 - 13*t**2/2 + 13*t - 3. Let l be w(10). What is the least common multiple of 9 and 3*l*((-8)/(-12) + -1)?
153
What is the common denominator of (-95545)/(-1182)*2/460 and -53/12?
276
Let h = -15785501/675 + 23386. Calculate the common denominator of -25/351 and h.
8775
Let z be (3 - 1)*-76 + 2. Suppose 3*b + 4*t = -b, -4 = -5*b - 3*t. What is the common denominator of (z/(-27))/(-3 - -7) + b and 89/4?
36
Let c(h) = -57*h**2 + 4*h - 6. Let a be c(-8). Let z = -258049/70 - a. Find the common denominator of z and 115/56.
280
Let l(b) = -40*b - 87. Calculate the smallest common multiple of (1 - 3)/((-4)/56*4) and l(-9).
273
Suppose -11*a = 1456 - 4987. Let s = a - 207. Calculate the smallest common multiple of 14 and s.
798
Let o = -262183829/1270 + 206444. Find the common denominator of -113/762 and o.
3810
Let l be (-597391)/158610 + 10 + -12. Let x = l + -4/15861. What is the common denominator of x and 2 + (-1 - 226/24)?
60
Let d = -23980/21 - -1144. Let k = -154481/24 + 6434. Calculate the common denominator of d and k.
168
Let o = -21067/6 - -3490. Let d be 2 + 2/14*-6547. Let r = d + 928. Calculate the common denominator of r and o.
42
Calculate the least common multiple of 161 and (13 - 9)/(287/(-63) - 5/(-1)).
1449
Suppose 0 = -3*n + 3*q + 105, q = 3*n - q - 104. What is the common denominator of n and (-545)/(-872)*(-202)/(-65)?
52
Let c = -6241/3020 + 5/302. Find the common denominator of c and -139/4218.
42180
Let z = 71512945/1003 - 71299. Calculate the common denominator of z and 3/85.
5015
Let h = -197/2 + 101. Find the common denominator of -1*1/2 + -834*10/(-360) and h.
6
Let m = 245 + 68. Let r = m + -257. What is the lowest common multiple of 42 and r?
168
Let u(p) = 2*p**3 - 3*p**2 + 8*p - 4. Let n be u(4). Calculate the common denominator of ((-6)/3)/(n/75) and 83/(-11)*(-4)/(-8).
198
Suppose -5*l + 1 = 6, -3*l = 5*w + 3. Suppose 4*n - 2*h - 84 = w, h + 49 = -4*n + 139. Calculate the lowest common multiple of n and 130.
1430
Let c = -3432131/54 + 63559. Calculate the common denominator of 22/(-77) + 229/630 and c.
270
Let p be ((12/(-30))/2)/(2/10). What is the least common multiple of 100 and -1 + (202*p)/(-34 - -32)?
100
Suppose 4*f - 4 = -0*f, 0 = -d - 4*f + 8. Suppose d*j - 208 = -4*b, 9*b + 3*j = 14*b - 244. What is the least common multiple of 45 and b?
450
Suppose -2*t = 2*m + 14, -3*t - 2 = -2*m + 4. Calculate the lowest common multiple of (t - -1)/(-6)*4 and 30/9*(2 + 4).
20
Find the common denominator of 37525176/21859110 + 12/(-7) and -1/50.
133450
Suppose 0 = 3*l + 5*v - 571, 4*v - 748 = 6*l - 10*l. Calculate the smallest common multiple of l and 35.
910
Suppose -13*l + 7*l + 36 = 0. Calculate the common denominator of 116/18 + (-12)/l and (-1526)/24*(-8)/28.
18
Suppose 5*a + 4*d - 3 - 34 = 0, 4*a + 5*d - 26 = 0. Suppose a*z - 13*z + 80 = 0. Calculate the lowest common multiple of z and (-17 + 9)*(-30)/8.
60
Calculate the least common multiple of (-10710)/(-68) + (-5)/(30/9) and 8.
312
Suppose 5*c = -n + 729, -6*n + n + 165 = c. Calculate the common denominator of (-87)/c - (-8)/50*16 and -32/35.
175
Let r = 1572 - 6365/4. What is the common denominator of r and -22/263?
1052
Let c be -36*(-5)/(-50)*15. What is the smallest common multiple of (c/(-8))/((-102)/(-272)) - 0 and -3 + 8 - (1 + 0)?
36
What is the common denominator of (((-11)/(-20))/11)/(-2 - 741/(-366)) and 35/978?
4890
Let z be (1/(-3) + 1)/(8/36). Let f be 16/(-6) + 2/z. What is the smallest common multiple of 2/4 - (-1 + f/(-4)) and 6?
6
Find the common denominator of (-1047)/(-108) - (-2)/9 and ((-128)/(-14))/((-576)/1344).
12
Let v = -4913 + 4931. Calculate the lowest common multiple of v and 230/20 - (-2)/4.
36
Let y(p) = p**3 + 4*p**2 + p + 8. Let x be y(-4). Suppose 7*q - 2*l = x*q - 6, -4*l - 2 = q. Find the common denominator of 0 + -1 - q - (-141)/(-27) and 73/9.
9
Let q be -2*-7*(-5 + (-45)/(-10)). Let j(n) = n**2 + 17*n + 75. Calculate the smallest common multiple of j(q) and 36.
180
Let u be (12/18)/((-1)/(-3)). Let n(z) = 26*z + 3. Let l be n(u). Suppose 0*t + 4*t - 71 = -k, -3*t + l = -k. Calculate the least common multiple of 12 and t.
36
Calculate the lowest common multiple of 15 and (-4 - -3671) + 75/90*6.
18360
What is the least common multiple of 3*((-45440)/(-48))/20 and 710?
710
Suppose -235*g - 35 = -236*g. Let h(q) = 2*q**3 - 4*q**2 - q + 5. Calculate the smallest common multiple of h(3) and g.
140
Let o = -34968 + 35859. What is the lowest common multiple of o and 231?
6237
Calculate the common denominator of (-81)/(-17136)*376 - 3/2 and 83/4.
476
Suppose -138*s + 12606 = -141*s. Calculate the common denominator of 2/(-8) + s/616 and 76/9.
126
Let h be -4*(-102)/24 - 6. Suppose -27*w = -h*w - 640. What is the smallest common multiple of w and 25?
200
Let k = 52956 - 106600426/2013. Let n = k - 7189/1157475. Let f = 2182/575 - n. Find the common denominator of f and 32/5.
5
Let y = 23517038/771 + -30502. Let c = y + 26258/8481. Calculate the common denominator of -143/6 and c.
66
Suppose -h = -5*k + 4763 + 5204, -7940 = -4*k + 5*h. What is the least common multiple of 15 and k?
1995
Suppose 4*n = -0*n + 3*l - 15, -5*l = -3*n - 3. Let k be 41 + 0/4*3/n. Let g = -13 + k. What is the least common multiple of g and 4?
28
Let r(l) = -266*l - 258 + 124*l + 107*l. Suppose 0*v + b = v - 113, 0 = 2*v + 3*b - 201. Calculate the least common multiple of v and r(-8).
1188
Let y be -3 + 2 + ((-10)/5 - -3). Suppose -3*i + y*i = -3. What is the common denominator of 46/7 and (-84)/32 - (i - -3)?
56
Find the common denominator of (4/(168/(-202)))/((-3960)/(-924)) and 29/180.
180
Suppose 14*g = -2*u + 9*g - 3501, -u - 5*g = 1743. Let t = 94943/54 + u. Calculate the common denominator of t and 61/6.
54
Suppose 666 = 3*v - 519. Calculate the common denominator of 47/110 and -2 + 3 + v/40 + -3.
440
Let t = 14 + -10. Suppose 0 = -2*v - 5*v. Suppose 2*q - 2*o + 0 - 4 = 0,