b - 14. Let x(k) = -k**2 + 13*k - 19. Let w be x(10). Let a be o(w). Find the common denominator of 1/a - (-539)/88 and 101/6.
24
Suppose 44*o - 39*o - 60 = 0. Suppose o = -3*w + 3. What is the lowest common multiple of 10 and (-2)/(-2 - w - (3 - 1))?
10
Let x = 136757431/1270 + -107683. Find the common denominator of 35/508 and x.
2540
Let k(c) = -c + 50. Let p = 96 - 93. Suppose 4*z + 21 = -i, -p*i + 6 = -3. What is the lowest common multiple of 8 and k(z)?
56
Let i = 9290636/175 - 53089. Find the common denominator of 37/350 and i.
350
Let p = -109575637/18207 - -2455/2023. Let n = 6009 + p. What is the common denominator of -105/22 and n?
198
Let s be (-4)/(-7)*(45/10 + -1). Suppose 5 = s*a + 9. What is the common denominator of (4 + a)*69/54 and 38/11?
99
Let l be -15*(-2)/6 + 43. Let u = -36 + l. Suppose -14*a + u*a = -76. What is the least common multiple of a and 4?
76
Let u = -53655 - -30120. Let q be (-6)/(-27) - 108452216/(-4608). Let r = u + q. Find the common denominator of 73/9 and r.
576
Find the common denominator of 6/(-21)*((-4606)/392)/((-90)/(-8)) and 43/4158.
20790
Let l be (-4)/(-2) + -2 + 0 + -2. Let f = -12 + l. Let r(s) = s**3 + 15*s**2 + 13*s - 5. What is the lowest common multiple of 27 and r(f)?
27
Let c be 1491/(-35) + 8/(-20). What is the lowest common multiple of -1 - 7/((-21)/(-6)) - c and 96?
480
Suppose 5*s - 7*s - 36 = -118. What is the smallest common multiple of s and 13?
533
Let t(k) = 39 - 6 - 2*k + 3 - 14. Calculate the smallest common multiple of 54 and t(-19).
540
Let g = 1991 + -1989. Suppose 3*h = -h + 8. Let p = 9 - h. Calculate the least common multiple of p and g.
14
Let z be 1/(11/(-22)*(-4)/6). Suppose -378 = -z*v + 10*v. Find the common denominator of -71/14 and 4*(-3)/v - 2.
126
Find the common denominator of 109/570 and 1119/(-891) + 40/540.
6270
Let u(j) = -j**3 - 62*j**2 - 136*j + 643. What is the smallest common multiple of 20 and u(-61)?
52180
Calculate the common denominator of (258/(-30))/((-654)/(-15)) and 0 + (-5)/4 - (-5 + 0).
436
Let c = 1339 - 1470. Suppose 5*m = 3*s - 7*s + 567, 0 = -4*s - 3*m + 561. Let h = c + s. What is the smallest common multiple of 2 and h?
14
Let q = 2532 + -6097. Calculate the common denominator of ((-2)/(-50))/((-248)/q) and ((-2)/(-3))/(-6*4/71).
360
Suppose -4*j + 454 = 5*n, 3*n - 51 + 57 = 0. Calculate the lowest common multiple of 176 and j.
5104
Calculate the common denominator of -143/12 and ((-510)/2142)/(2/23).
84
Let u be 8/16*2*5. Let o(x) = -6*x + 60. Calculate the lowest common multiple of o(u) and 39.
390
Suppose 780*b - 28320 = 720*b. Calculate the least common multiple of 1062 and b.
4248
Let z be 3*(-336)/(-9) - -3. Let k(l) = 4*l + 133. Let n be k(-33). Find the common denominator of -89/20 and (z/18)/n - 0.
180
Let b(m) = m**3 - 23*m**2 - 168*m - 114. Calculate the least common multiple of 1790 and b(29).
10740
Suppose 0 = -c + 80 - 32. What is the common denominator of 532/c + (-2)/8 and 7/81?
162
Suppose -2*v + 81 = 2*z + 123, -3*z = 5*v + 73. What is the common denominator of z and 59/60?
60
Suppose -20*a = -474 - 508 - 418. What is the least common multiple of a and 56?
280
Let f = 10034741/79992324 + 5/153242. Find the common denominator of f and 31/870.
5220
Let s = 27101093881111/14022 - 1932755232. Let h = -5/779 + s. Calculate the common denominator of (186/44)/((-2 - -3) + -4) and h.
198
Let u(m) = 12*m**2 + 14*m. Let r be u(-6). Let n = r + -315. What is the smallest common multiple of 66 and n?
66
Let z = 79453/8730 - 1/873. What is the common denominator of (91/(-1 - -2))/(176/(-4)) and z?
220
Let w = -10701/8 - -12055/9. What is the common denominator of -131/72 and w?
72
Let k = -193/58 + 15407/5336. Find the common denominator of 17/20 and k.
920
Let q = -255425/564438 - -2/13439. What is the common denominator of q and 4/6 + 302/(-84)?
42
Suppose p = -p + 30. Suppose y + 4686*t - 4690*t = 50, -4*t = 2*y - 4. Calculate the least common multiple of p and y.
90
Let f = -45791234256697/1088682108 + 26/16010031. Let w = -42060 - f. Calculate the common denominator of 54/(-783) + 73548/(-8352) + 7 + 0 and w.
136
Calculate the least common multiple of (-57)/9 - (-11 - -2) - 192/(-9) and 2640.
2640
Let h = 3282599/80 - 41033. What is the common denominator of 137/288 and h?
1440
Let q be (4/6)/((-1)/45). Let g = q + 43. Suppose h + 0*k = 5*k - g, -5*h + 5*k = -35. What is the least common multiple of 12 and h?
12
What is the common denominator of ((-4)/(-950))/((-12)/(-1665)) and (1/(-11))/((-1)/(-3))*1080/144?
2090
Suppose 8*j - 5549 = -2069. Calculate the smallest common multiple of 35 and j.
3045
Find the common denominator of (40/3)/(1/((-5)/(-35))) and (-15)/20 + 230/56.
42
Suppose -18*u + 24*u + 18 = 0. Let j(h) = 180*h + 10. Let d be j(u). Calculate the common denominator of (1 + (-36)/30)/((-4)/d) and -107/36.
36
Calculate the common denominator of 103/140 and (4 - (-258)/(-63))*(-91)/2660.
7980
Let l(u) = u**3 + 5*u**2 + 5*u + 7. Let j be l(-3). Let o be (5/((-75)/(-2118)))/(8/j). Let x = o - 169. Calculate the common denominator of 74/9 and x.
18
Let x = 122/263 - -4233/15254. Find the common denominator of x and ((-306)/(-32))/((-723)/482).
232
Let i = 5043/5 + -96042/95. Let s = 22/17 - 503/34. What is the common denominator of s and i?
38
Let g(d) = d - 1. Let c(p) = -98. Let r(s) = -c(s) + 3*g(s). Let j(y) = 7*y - 4. What is the lowest common multiple of j(4) and r(-29)?
24
Calculate the common denominator of (7/70)/(1640/848) and 53/100.
4100
Let r = -2615/3 - -21059/24. Find the common denominator of (-14472)/(-648)*6/40 and r.
120
Let x = 985 - 486. Suppose -x = 9*i + 1580. Calculate the common denominator of -85/16 and (25/75)/(263/i - -1).
32
Find the common denominator of 2681/(-336) + 10 - 4 and -23/426.
3408
Suppose -678*i + 669*i = 3495 - 23367. What is the lowest common multiple of i and 24?
2208
Let h be -3*(-4 + (4 - 5)*-3). Suppose -13 = -2*l + h. What is the least common multiple of 22 and l?
88
Calculate the smallest common multiple of 1174 and ((-110)/(-275) + 4/15)*12.
4696
Let j = -1149849410353/24912862 - -475/470054. Let n = j - -46157. Let d = -3647/636 + n. Find the common denominator of 31/4 and d.
12
Let o be (-4 - 163686/(-40923))/((-1)/3). Let t = -118276/122769 + o. Calculate the common denominator of 143/18 and t.
54
Let h(q) = -7*q - 180. Let y be h(-27). Suppose -4*k - y*k = -208. What is the least common multiple of k and 4?
16
Find the common denominator of -7/486 and ((-121)/726)/((-1)/((-71)/(-9))).
486
Let c = -7883/1060758 - -1/3802. Let k = 289/1395 + c. What is the common denominator of (2/3)/(14*(-7)/(-651)) and k?
35
Let s = 14 + -14. Suppose s = -9*i + 33 + 75. Find the common denominator of (20/16 - 2) + 251/i and -49/24.
24
Let x be (-333)/(-6)*(4 + -5)*-10. Let i = x + -543. Calculate the least common multiple of i and 12.
12
Let l = 30078/3803 + 2984223/3498760. Let r = l - -13/115. What is the common denominator of ((-36)/(-264))/((-20)/14 + 2/2) and r?
88
Let g(n) = 6*n**3 + 8*n**2 - 12*n - 4. Let t be g(2). Suppose -t = -z + 4*d - 15, 0 = 2*z - 4*d - 58. What is the least common multiple of z and 48?
336
Suppose 5*z + 6*d - 4*d - 15 = 0, 0 = z + d - 3. Suppose -z*g - 23 = -44. Suppose g*b - 108 = b. Calculate the least common multiple of b and 6.
18
Let l(r) = r**2 - 5*r + 3. Let p be l(5). Suppose p*s = 2*s + 12. Let n = 3197 + -3164. What is the lowest common multiple of n and s?
132
Let b = 6769 - 6684. What is the lowest common multiple of 455 and b?
7735
Let x = -2/19509 + 28225/442204. Calculate the common denominator of (-21 + 6370/280)/(8/18*3) and x.
816
Let n = 77909 + -7011901/90. Calculate the common denominator of n and 154/(-36) - 57/38.
90
Find the common denominator of ((-12)/(-10))/((-4)/55) and -26*1*100/720.
18
Suppose -3*w + 111 = -3*g, 3*g = -0*w + 4*w - 106. Let t = g - -78. Suppose -5*l + 3*l = -t. What is the lowest common multiple of 2 and l?
18
Suppose 0*k = -4*k - 72. Suppose 4*f + 11 = -149. What is the common denominator of -17/10 and (1242/144)/(k/f)?
30
Let l(f) be the first derivative of 6*f + 0*f**2 + 1/4*f**4 + 26 + 4/3*f**3. What is the lowest common multiple of l(-4) and 8?
24
Calculate the common denominator of 23/888 and (3 -