5789. Find the common denominator of 178/231 - 0 - j/165 and s.
231
Let q(u) = 16*u**2 - 52*u + 99. What is the lowest common multiple of 177 and q(2)?
177
Find the common denominator of 17/88 and (0 + (-39)/6)*150/60.
88
Let q be (-750806)/(-400)*2 + (-5)/5. Let v = -3753 + q. What is the common denominator of -37/70 and v?
700
What is the lowest common multiple of (15/25)/(-6*9/(-14670)) and 4?
652
Let b = 43 - 25. Let m be (140/21)/((-4)/(-6) - 0). What is the least common multiple of 4/m + ((-6)/15 - -2) and b?
18
Suppose -4*i = 3*a - 329 - 259, -3*a - 735 = -5*i. Suppose -5*s - 108 = -4*r + i, 270 = 4*r - 2*s. Calculate the lowest common multiple of r and 30.
210
Let l(b) = -10*b + 1. Let m(k) = -k**3 - 8*k**2 - 20*k - 10. Let z(f) = -f**2 - f + 52. Let i be z(-8). What is the smallest common multiple of m(i) and l(-1)?
66
Let s = 125917/16 + -7865. Find the common denominator of s and -15/137.
2192
Calculate the common denominator of 81/454 and 0 + 180/192 + -2.
3632
Let h = -13144457/40878 - 7053/757. Let w = -665/2 - h. Find the common denominator of w and 67/87.
783
Let v(t) = 2*t**3 + 5*t**2 + 10*t - 1. Let j be v(-5). What is the least common multiple of 1 and (-946)/j + (45/24)/(-5)?
5
Let u(k) = -2*k - 99. Let t be u(-31). Suppose -2*d - 5*m + 6*m = 51, -5*m = -5*d - 120. Let o = d - t. What is the least common multiple of o and 22?
110
Let u(c) = c**3 - 7*c**2 + c - 4. Let w be u(7). Suppose -5*y - 2*z + w*z + 5 = 0, 4*y = 3*z - 7. What is the smallest common multiple of 36 and y?
36
Let p(f) = -f**3 + 6*f**2 + 5*f - 4. Let j be p(-4). Let b = j - 109. Calculate the lowest common multiple of 24 and b.
216
Let m = 5322 - 3597. What is the common denominator of (81/8)/(m/230) and 101/158?
1580
Calculate the common denominator of -1/144 and (-3)/10*(2375000/(-85440))/(-125).
12816
Let h = 522/127 + -21037/3048. What is the common denominator of 125/4356 and h?
8712
Let n be (-833)/(-28) + 1/4. Let v be 4/(-18) + 2 - 12/(-54). Calculate the common denominator of 0 + v/6*(-755)/n and -83/36.
36
Suppose 0 = -2*y + 4*y - 52. Suppose -20*u + 25*u = 2*t - 41, 0 = -3*t - 4*u + 73. Calculate the smallest common multiple of t and y.
598
Let m(u) = 5*u**2 - 3 - 5*u - 3*u**2 + 6*u**2 + 0*u**2. Calculate the smallest common multiple of m(-1) and 80.
80
Let n = -8528938/7 + 1222576. Let c = n - 4148. Calculate the common denominator of c and -23/122.
854
Suppose -5*i - 4*d + 1205 = -127, -d + 267 = i. Suppose 0*l = 4*l - i. What is the smallest common multiple of l and 9?
198
Let f be (6/(-920))/(((-4)/5)/(-2)). Let a = f + -2291/552. Find the common denominator of 94/44 + (-2 - 0) and a.
66
Let k = -1/256735 - -1694657/52887410. What is the common denominator of k and 97/412?
2060
Let i(p) = 13*p - 77. Let z be i(6). Calculate the common denominator of (-195)/72 + z + 3 and 63/16.
48
Let f = 1055 - 919. Calculate the smallest common multiple of f and 612.
1224
Suppose -3*z - 17717 = 4*b, -5*b + z - 30170 + 8019 = 0. Let o be (-8)/(-60) - 44324/10. Let v = b - o. Find the common denominator of v and 61/33.
165
Suppose 2*v = -2*l - 8, -l + 0 = -2*v - 2. Let k be 1*(l + -3 - (-1 + 2)). Calculate the common denominator of 16/21 and (k/(-21))/(9/70).
63
Let p be 51/663 + 3053/702. Let n be (-110)/12*5/25. Let q = n + p. Calculate the common denominator of -17/15 and q.
135
Suppose -2*f + 3*k = -2*k - 70, -2*f + k + 62 = 0. Suppose 8*i + 14 - 6 = 0. Calculate the lowest common multiple of ((-24)/8)/(i/1) and f.
30
Suppose 7*m = -35*m + 630. Suppose -5*s + 10*s - m = 0, 51 = 4*f + s. What is the smallest common multiple of f and 48?
48
Let q = -92069/42 + 2196. Calculate the common denominator of (750/72 - 11)*((-765)/(-21) - -1) and q.
42
Let a(v) = 9*v**2 - 119*v + 151. Calculate the least common multiple of 72 and a(14).
5976
Suppose w - 14 + 0 = -k, 0 = 3*w - 12. Let b be 15704/20 + (21/(-35))/3. Let n = b - 781. Calculate the least common multiple of k and n.
20
Suppose -m + 2*m - 2 = 0. Let i be (-2 - (-7)/m) + 26/520. Let f = i + -1357/140. Calculate the common denominator of f and 25/9.
63
Suppose -1420 + 70 = -3*i. What is the least common multiple of i and 9?
450
Suppose 0*h - 2 = -2*h. Let r(o) = 9*o + 1. What is the lowest common multiple of (-3 + (-26)/(-6))*3*9 and r(h)?
180
Let d be (-76382)/14172*(-1 - 51/(-24)). Let i = 14533387/1181 + -12306. Let z = i + d. What is the common denominator of z and 43/14?
112
Let z = 49 + -37. Suppose z*h - 16*h + 796 = 0. Calculate the smallest common multiple of 6 and h.
1194
Let h = 215 - 212. Let i = 496 - 902. What is the common denominator of -56/3 and (i/(-20))/7 + h?
30
Let a = -1152/11 - -3494/33. Let l be 20*((-3)/27)/((-930)/(-695)). Let i = -40/31 - l. Find the common denominator of i and a.
297
Suppose -794*k + 40 = -784*k. Calculate the common denominator of 61/6 and (k + 182/39)*(-10)/(-12).
18
Let j = 199 - 163. What is the common denominator of (j/(-216))/(10/196) and 10/(-6)*4/(-5)?
15
Let u = -15780883/894 + 17652. Let l = 44645/9834 + u. Let d = 1091/270 + -209/27. Calculate the common denominator of l and d.
110
Suppose 2*a - 12 = l + 4, -2*l + 40 = 5*a. Calculate the smallest common multiple of ((-208260)/(-17800))/((-3)/(-40)) and a.
312
Let t = 74 - 81. Let u be (12/t)/(13/(15834/(-12))). Let x = u + -1549/9. Find the common denominator of x and 40/9.
9
Let u be (1/4 + (-6)/(-24))*0. Suppose 0 = 2*p - u*p - 32. Calculate the least common multiple of 12 and p.
48
Let g = 6062302 - 145557425/24. Let k = -2593 - g. Find the common denominator of 41/32 and k.
96
Let c(t) = -4*t - 24. Let z be c(-7). Suppose 5*b - 14*m - 40 = -9*m, -z*m = 2*b - 4. Calculate the smallest common multiple of 90 and b.
90
What is the common denominator of -1 + (-58)/(-16) - -1 and (8/(-632))/((-109)/(-981))?
632
Let a = 829693/44763800 - -59/20600. Calculate the common denominator of a and -67/164.
8692
Let m be (-18782)/28 + 1 - -2. Let y = -671 - m. What is the common denominator of y and -13 - 2007/(-54) - 2?
42
Suppose 9*c = 5*c - 16, -v = -2*c - 11. Suppose 2*d = v*g + 423, 2*d - g + 419 = 4*d. What is the least common multiple of 35 and d?
210
Let z(k) = k**2 - 7*k - 10. Let m be z(9). Find the common denominator of -53/40 and 336/(-32)*(-2)/m.
40
Let q be 1/((-1)/((-2)/2)). Let a = 12 + q. Suppose -a = 6*i - 31. Calculate the smallest common multiple of 2 and i.
6
Suppose 0 = 3*d - 5 - 16. Calculate the least common multiple of d and (-4)/96 + (-631576)/(-2112).
2093
Suppose -18 = -166*p + 165*p. Suppose 0 = 19*c - 13*c - 90. Calculate the lowest common multiple of c and p.
90
Let x(w) = w**3 + 49. Let n(j) = j**2 - 6*j - 16. Let g be n(8). Let p be x(g). Let h = p + -7. Calculate the least common multiple of 2 and h.
42
Calculate the lowest common multiple of 2205 and (-3 - 53/(-18))*4 + 88220/90.
8820
Let m(v) = 8*v**3 + 11*v**2 - 19*v + 18. What is the lowest common multiple of m(4) and 189?
1890
Let v = 42891 - 42885. Calculate the least common multiple of (0 - -31)*(5 + -2) and v.
186
Suppose -2*t + 35784 = -5*t. Let j = 68/1094655 - 287172888851/24082410. Let o = j - t. What is the common denominator of -21/4 and o?
44
What is the common denominator of -20/273 and 6/364*48*100/(-270)?
273
Let n(y) = -356*y - 11280. Calculate the least common multiple of 84 and n(-33).
3276
Let z = -434087/10 + 43398. Let w = -99738 - -105522831/1058. Find the common denominator of w and z.
5290
What is the least common multiple of ((-8)/10)/(13 - 1568/120) and 660?
660
Let t = 852 + -831. Let c be ((-1 - 0) + -2)/1. Let x = 9 + c. Calculate the least common multiple of t and x.
42
Suppose -47*x + 13122 - 11148 = 0. Suppose 2*j - 5 = -3*t, -5*j + j = -2*t + 14. Calculate the least common multiple of x and t.
42
Let n(s) be the first derivative of -s**3/3 - 7*s**2/2 - 6*s - 7. Suppose 10*v = 29*v - 266. Calculate the least common multiple of v and n(-4).
42
Let q be 4280/(-35) - 4/(-14). Let v = 125 + q. Let h(s) = 65*s - 14. Calculate the smallest common multiple of 6 and h(v).
1086
Find the common denominator of 11/108 and (-1 - 14/(-105)*-3) + 7486/5340.
9612
Let j = 8/1331 - -115733/10648. Let v = 8575/76 - 451/4. Let x = v - -89/76. Calculate the common denominator of j and x.
8
Let h = 8 - -1. Suppo