minator of -53/150 and (-82)/(-10) - (-1 - 1)/(81 - 80).
150
Suppose 0 = -u + 52 - 0. Let q be 4824/(-6)*(-1 - (-18)/12). What is the least common multiple of u/(-39)*q/4 and 16?
1072
Calculate the common denominator of 116/151*300/1600 and -101/36.
5436
Let g(b) = -6*b**2 - 46*b - 48. What is the smallest common multiple of 1606 and g(-6)?
9636
What is the common denominator of (-6 - -8)*43/14 and (-2 - (-316)/42) + -11 + 100/25?
21
Let j = -54 + 75. Let t(i) be the first derivative of 2*i**3/3 - 7*i**2/2 + i - 31. Calculate the smallest common multiple of t(4) and j.
105
Let j(y) = -y**3 + 8*y**2 + 11*y + 4. Let l be j(7). What is the common denominator of 5/18*654/40 and l/(-45)*3/28?
168
Let p(k) = k**3 + 18*k**2 + 81*k + 66. Calculate the smallest common multiple of 628 and p(-11).
6908
Let o(n) = -n**3 - 121*n**2 - 1013*n + 27. Calculate the smallest common multiple of 176 and o(-9).
1584
Let d be 4/(-1) + (-181)/297*3. Let x be (-128)/(-36) + (2 - 0). Let z = x + d. What is the common denominator of -41/5 and z?
55
Suppose 27*s - 292 = 1058. Suppose 3 = -j + 47. Let u = s - j. Calculate the smallest common multiple of 24 and u.
24
Let m be (-8 - 1)*(-2289)/(-63). Let n = m + 347. Let r = -19 - -31. What is the lowest common multiple of r and n?
60
Suppose 64*b - 70*b + 4716 = 0. Calculate the least common multiple of 27 and b.
7074
Let p(g) = 41*g**2 + 13*g - 1. Let j be p(5). Let v be j/(-22)*(-1 + 0 + 3). Let c = -83 - v. Calculate the least common multiple of c and 32.
32
What is the least common multiple of 21 and (-1 - (9 + -8)) + 6440?
45066
What is the smallest common multiple of (-7909310)/(-1189) + 1*(-8)/116 and 32?
53216
Let d be ((-25)/(-10))/((-6)/(-5)). Let v = -497/240 + d. Calculate the common denominator of v and 31/64.
320
Let h be 0 + (-6)/(630/(-8907)). Let z = h + -833/10. Find the common denominator of z and 57/14.
70
Let i be 19/4 - 63/36. Suppose d - 12 = -i*x, -4*x - d + 0 = -16. Calculate the smallest common multiple of x and 0 + -1 - (1 - 22).
20
Let n be (-9 - -9)/(-4 + -1). Suppose -48*l + 59*l - 385 = n. Calculate the lowest common multiple of 42 and l.
210
Suppose -7*l + 3*l = 0. Suppose 2*u = -4*q + 7*u + 79, l = 3*u - 3. Suppose -6*v + 9 + q = 0. Calculate the lowest common multiple of 13 and v.
65
Let b = -69053/918 - -2090/27. Let f = b + -6011/2244. What is the common denominator of -97/132 and f?
132
Find the common denominator of -1/144 and (-389)/1167 + 29*2/72.
144
Calculate the common denominator of (1/(-16))/(2 + 1701/(-846)) and -22/1171.
9368
Let z(a) be the third derivative of a**6/120 + 3*a**5/20 - 3*a**4/8 - 17*a**3/2 - 70*a**2. What is the lowest common multiple of 15 and z(-9)?
30
Let x = 832356 + -6601099/8. Let z(r) = -15*r**3 - 6*r**2 + 7*r - 9. Let u be z(-8). Let c = u - x. Find the common denominator of c and 55/2.
8
Let c(x) = -48*x + 3596. Let z be c(75). Suppose -4*a - 816 = 108. Calculate the common denominator of -139/48 and (89 + 0)*(z - a/56).
48
Let i be (-15)/(-35) + (-25918303445)/(-964291125). Let k = -2/367349 - i. Let c = k - -66/25. What is the common denominator of c and 15/4?
12
Let a(w) be the third derivative of -131*w**5/30 - w**4/8 + 5*w**2. Let s be a(1). What is the common denominator of s/220 - 6/8 and 17/18?
198
Let p = 2640 + -2631. Let v = 7 - -8. What is the least common multiple of p and v?
45
Suppose 0 = -76*k + 9228 + 13572. What is the lowest common multiple of 180 and k?
900
Let t = 38 + -14. Suppose 0*o + 4*g - 12 = -5*o, -4*o + 15 = 5*g. Suppose o = -4*k - 16 + 88. What is the least common multiple of t and k?
72
Calculate the common denominator of 55/48 - -6*2/(-6) and (-4)/(-6) - (-8)/(-15).
240
Let a be 92/3 + (-12)/18. Find the common denominator of (-1*(-1)/(-24))/(a/(-3320)) and -75/16.
144
What is the least common multiple of 6 and 328925/325 + ((-2)/(-13))/(-2)?
3036
Let x(m) = m**3 - 12*m**2 - 27*m - 14. Let k be x(14). Suppose 5*j - 22 + 87 = k. Let c = -7 - j. What is the least common multiple of c and 1?
6
Let n(s) = -s**3 + 10*s**2 + 5*s - 95. Let b be n(8). Let v = b + -24. Calculate the smallest common multiple of v and 28.
196
Let f be (-10)/470*19*(-1052)/(-120). Let w = f + 400/47. Find the common denominator of w and 95/36.
180
Let l be ((-4)/6)/((-9)/(-10584)*-1). Suppose -22*u + 15*u + l = 0. What is the smallest common multiple of u and 128?
896
Let a be (-94)/(-4)*(-8 + 2 + -2). Let z = a - -204. What is the lowest common multiple of z and 24?
48
Suppose -1100 + 71 = 3*b. Let r = b - -7. Calculate the common denominator of -5/2 and (-5)/(-3) - (-659)/r.
112
Let x be ((-5526)/(-2760) + -2)*18. Let i be 1/(-3) - (-9917)/(-690). Let t = i + x. Calculate the common denominator of -79/18 and t.
18
Suppose -s + 1242 = 2*a, -7*s + 4*a = -s - 7340. Calculate the least common multiple of s and 24.
7368
Suppose -5*l + 3*l + 4*p - 120 = 0, 2*l - p + 111 = 0. Find the common denominator of (16/408)/((-4)/l) and 19/2.
34
Let w = 57991 - 57964. Let z be (-4)/(-2) + 70/1. Suppose 3*h = -h + z. Calculate the least common multiple of w and h.
54
Suppose 0 = -0*d + 2*d + 8. Let q(k) = -k**3 - 3*k**2 + 3*k - 3. Let s be q(d). Find the common denominator of 45/7 and (s + 1*28)*4/(-6).
21
Find the common denominator of -23/70 and (-70)/(-308)*105/7.
770
Let v = -101 + 95. Let y be (-42)/(-39)*(-178759)/v. Let b = 32087 - y. Calculate the common denominator of b and 56/27.
351
Let s(w) = 12*w**2 + 1179*w - 5859. What is the smallest common multiple of s(-103) and (1062/(-4))/3*-2?
708
Let s = -4/3277 + 16609/183512. What is the common denominator of 91/136 and s?
952
Let y be 27/(-3)*-1 + (-4 - 0). Suppose -4*l - y*r + 91 = -4*r, 3*r - 31 = -l. What is the least common multiple of 2 and l?
22
Let i(y) = -25*y - 24. Suppose -4*a = 4*j - 16, 5*j - 2*a = 3*j - 12. What is the lowest common multiple of 11 and i(j)?
11
What is the least common multiple of (-93 + 89)*(0 + (-220)/2) and 760?
8360
Let z = 69 + -44. Let c = -26108 - -26118. What is the smallest common multiple of c and z?
50
Let o = 6200/9 + -248351/360. Let d = 901/19 + -84013/1748. Find the common denominator of d and o.
920
Find the common denominator of (1/(-6))/((-36)/630*-125) and -73/60.
300
Suppose 32*u = 3*u + 48894. What is the common denominator of 5 - (-5 + u/252) and 9/70?
210
What is the least common multiple of 5/(125/(-10))*-24*5 and 84?
336
Let y = 7085/6 - 1203. Let m be (-4)/6 + 294805/(-21). Let b = -336985/24 - m. What is the common denominator of y and b?
24
Let l(v) = -2*v**3 - 42*v**2 + 88*v - 70. Calculate the lowest common multiple of 1274 and l(-23).
14014
Suppose 8*r - 440 = 3*r. What is the lowest common multiple of (9310/57)/(-35)*(375/(-21) + -1) and r?
88
Let x = -41/27 - -286/135. Calculate the common denominator of x and 27/4*3/(-14).
280
Let b = -4813/2060 - -81/103. Find the common denominator of 1/27*159/4 and b.
180
Suppose 0 = -4*y + 5*q + 15, -q = -2*y - 2*y + 3. Suppose y*a - 14 = -2*w + a, -2*w + 22 = 3*a. Find the common denominator of -27 and (-319)/33 + 6/w.
12
Suppose 2*r + 3*j + 164 - 184 = 0, -r + 17 = 5*j. What is the least common multiple of r and 287?
287
Let w = 80 + -288. Let t = w + 3533/17. What is the common denominator of t and ((-19)/4 + 2)/(15/(-66))?
170
Let n(v) = 9*v - 25. Suppose 0 = 2*c + 3*m + 206, 5*m = 5*c + 217 + 273. Let a = c + 104. What is the lowest common multiple of 1 and n(a)?
11
Let t be (-6 - (-2)/2) + 33. Find the common denominator of 22/9 and (t/(-42))/(22/13).
99
Let l(d) = 2*d**2 - 5*d + 257. Calculate the lowest common multiple of l(12) and 970.
970
Let g = -10972 - -11926. What is the lowest common multiple of g and 18?
954
Let m be (-9197)/(-68) - 2*(-3)/(-24). What is the common denominator of ((-5)/m)/(4/309) and -53/24?
72
Let l = -13589/3330 + 38/333. What is the common denominator of 187/2130 and l?
2130
Let d = 2108 + -2060. Suppose 3 - 21 = -2*j. Calculate the least common multiple of d and j.
144
What is the least common multiple of 60 and (-13 + 27)*((-54)/(-42) + 1)?
480
Let j(o) = -o**2 + 6*o + 10. Let h be j(7). Let x be (-15)/3*(-1 - 8/5). What is the smallest common multiple of 10 and h/(-4 - x/(-3))?
90
Suppose -c - 5*c = 5*c - 4312. Calculate the lowest common multiple of 280 and c.
196