and w?
14
Suppose -20*l + 259 = 55*l + 34. Calculate the least common multiple of l and 0 - (-6 + (-4 - -4)).
6
Let c(d) = -d**2 + 5*d + 2. Let b(r) = -371*r + 7482. What is the least common multiple of c(5) and b(20)?
62
Suppose -9*z = -3*z - 4992. Let v = 4143/5 - z. What is the common denominator of 83/10 and v?
10
Let d be -4 - (-8 - -1*(3 - 2)). Suppose -d*x - 36 = 2*o - 3*o, -x = o - 52. What is the least common multiple of 64 and o?
192
Let l = 47741/484020 - 1/43024. What is the common denominator of -91/1584 and l?
7920
Find the common denominator of 111/10 and 1 - (41/(-270))/(180/(-945)).
360
Let a = 164 + -165. What is the common denominator of 31/24 and a + 1 - 23/5?
120
Let u = -9207 - -193426/21. What is the common denominator of u and -17/6774?
47418
Let t(j) = -j**2 + 21*j + 360. What is the smallest common multiple of 1408 and t(-8)?
1408
Let v = -134 - -165. Suppose -v = -5*j + 74. What is the lowest common multiple of 42 and j?
42
Let o = 90 + 64. What is the common denominator of -23/11 and (10/(-6))/(-2 + o/105)?
88
Let d = -144 - -141. Calculate the smallest common multiple of 1 and (-17)/(0 + -4 - d).
17
Let p = 26890 - 3630241/135. Calculate the common denominator of 40/(-30) - 3372/(-1980) and p.
1485
Calculate the least common multiple of 107/642 - -118*1/12 and 1922.
9610
Let w(a) = 26 + 20*a - 21*a - 7. What is the smallest common multiple of w(8) and 6/8*20 + -4?
11
Let j be (400/1225)/(1 + 6 + -2). Let g = -103913214 + 101834970971/980. Let h = j + g. Calculate the common denominator of -27/10 and h.
20
Let o be 18/(-7)*70/15. What is the common denominator of (-4)/(-6)*((-69)/o + -1) and -32/29?
174
Suppose 11 = i + t, -6*t + 10*t + 40 = 2*i. What is the lowest common multiple of i and 84?
84
Suppose 0 = 3*b + 6*t - 2373, 6*b = 9*b - 2*t - 2317. Calculate the least common multiple of 7 and b.
777
Let i be (-18)/4*16/12. Let n be (-687)/2*(-72)/54 + -4. Find the common denominator of 42/11 and i/(-8) - n/72.
99
What is the lowest common multiple of ((-2 - -7) + 1)*12*(-5)/(-40) and 68?
612
Suppose 0 = -3*t + 10 + 20. Suppose b = 3*b - t. Let f(v) = -v**3 + 6*v**2 - 7*v + 11. Calculate the lowest common multiple of 7 and f(b).
7
Let x(g) = g**2 - 11*g - 217. Let a be x(21). Suppose -3*w + 76 = -2*p - 0*p, 0 = -2*w - 4*p + 24. What is the least common multiple of w and 4 + (-42)/49*a?
110
Let v = -116913 + 6780937/58. Find the common denominator of (73/3)/(4/3) and v.
116
Suppose 4*o - 24 = 4*f, -2*o - 3*o = 2*f + 5. What is the lowest common multiple of (7 - 1)*(-2 - (o + -5)) and 54?
108
Suppose -g + 5*x = 19, 4*g - x = -5*x - 4. Let l be 23/(-6)*((-162)/g)/(-1). Let r = l - 4199/28. Find the common denominator of r and 71/14.
14
Let q = -14772427/162 - -91187. Calculate the common denominator of q and 61/90.
810
Suppose 4*a = -2*r + 10, 3*r = a + 3*a - 15. Suppose a*y - j = 56, 2*y + 4*j = j + 52. Find the common denominator of ((-43)/20)/((-5)/y) and -49/5.
5
Suppose 43*p - 372 = -19*p. What is the least common multiple of p and 77?
462
Suppose -111*o + 34969 = 11881. Calculate the least common multiple of o and 156.
624
Find the common denominator of (-47975)/(-119016) - 6*(-6)/(-96) and 34/15.
3915
Let y(g) = g**3 + 28*g**2 + 123*g + 157. Calculate the lowest common multiple of 276 and y(-8).
41676
Let h = 102676 - 63248389/616. What is the common denominator of -13/154 and h?
616
Let u = 14453/36 - 1621/4. Let f(v) = -v**2 - v. Let h(o) = o**3 + 3*o**2 + 2. Let t(x) = 5*f(x) - h(x). Find the common denominator of u and t(-4).
9
Let q be 3 + (3/(-2) - (-70)/(-20)). Let p be (-19 + 29)/((-5)/q). Find the common denominator of 47/2 and (p - (-158)/(-96)) + (-8)/(-6).
16
Let p be 1*(27235/(-30) - 1). Let h = -927 - p. Calculate the common denominator of h and 151/84.
84
Suppose -2*y - 4*a + 5256 = 0, 6*y - 4*a + 13128 = 11*y. Calculate the least common multiple of y and 8.
2624
Let n = 99/265 - 27777/33920. What is the common denominator of -67/152 and n?
2432
Let z = -2164 - -2198. What is the lowest common multiple of z and 1 - 5/(10/(-4))?
102
Let m = -10/9630823 + -2429606241292/202247283. Let o = 12010 + m. Calculate the common denominator of 97/18 and o.
126
Suppose 0*b = -2*b + 20. Let f(k) = 4*k + 31. Let g be f(-6). Suppose g + 3 = 2*q, 3*i - 2*q - 14 = 0. What is the lowest common multiple of b and i?
40
Let g = -4057 - -4497. Calculate the lowest common multiple of g and 110.
440
Suppose q - 22 = -4*p, -79*q + 4*p + 14 = -74*q. Let v(s) = -11*s**3 - 2*s - 1. Calculate the lowest common multiple of v(-1) and q.
12
Let q = 3/13 + 6/143. Let w be (-6944)/19110*(-116)/(-16). Let x = -9/91 + w. Find the common denominator of q and x.
165
Let k be -5 - (5 + -15 + -1). Suppose 3*b - 8920 = -5*b. What is the common denominator of 53/8 and 4/18 - (k + b/(-450))?
40
Suppose -68*s = -83*s - 120. What is the common denominator of (-142)/355*(-1 - 303/s) and -49/82?
164
Let b = -4359 + 21778/5. Find the common denominator of 36/9785 and b.
9785
Let q(i) = -i - 8. Let z be q(8). Let r = 2 - -18. Let x = z + r. What is the least common multiple of x and 3?
12
Let b = 1529 - 1525. Let t = 352 - 176. Calculate the least common multiple of b and t.
176
Let p = 38 - 40. Let n be (4 + p*3)/1. Find the common denominator of 3/15 - (n + (-83)/(-15)) and -1/12.
12
Let b = -11 + 13. Suppose 0 = 5*t - 1 + 26, 2*r + b*t = 0. What is the smallest common multiple of (0 + 2 + 1)*3 and r?
45
Suppose -657 = -2*z + 5*t, t + 30 - 705 = -2*z. Suppose 3*w = -4*w + z. Let r = w - 28. What is the lowest common multiple of 4 and r?
20
Suppose 4*v + 10 = 9*v. Suppose v*w - 9 = -p, -2*p + 2*w = -7 - 5. What is the least common multiple of 4 and 1*133*2/p?
76
Let g = 24 + -26. Find the common denominator of ((-696)/(-72))/(g + 42/15) and ((-4)/(-6))/(320/1308).
120
Let d = -1613/2 + 124151/154. What is the common denominator of d and ((-624)/(-99))/4 + -2?
231
Suppose y - 2*b = 2*y - 46, -3*b + 138 = 3*y. Suppose 2839 = y*c - 289. Calculate the least common multiple of c and 136.
136
Suppose -409*b + 414*b - 5*n - 5275 = 0, 0 = -3*b + n + 3169. Calculate the smallest common multiple of 77 and b.
11627
Suppose 3*f = -4*j + 96, -5*j = 4*f - 26 - 103. Calculate the common denominator of 47/22 and (45/2490)/(f/(-73)).
21912
Let y be (-36)/(-15) - (32/(-20) + 1). Suppose 5 = 4*f - y*f, -3*f = 5*a - 615. Calculate the smallest common multiple of 8 and a.
120
Let q = 2247/32 - -81/32. Let u = 805/12 - q. Calculate the common denominator of u and ((-18)/(-375))/((-2)/20).
75
Suppose 5*h + 0*d - 7 = d, -1 = -5*h + 3*d. What is the lowest common multiple of 20 and ((-22)/5 + h)*280/(-12)?
280
Let z(d) = -6*d**2 + 3*d + 6. Let x be z(-3). Calculate the common denominator of (1 - 4/(-16))*1358/(-525) and (x/(-21))/(72/147).
120
Let l = -23 + 35. What is the common denominator of (-147)/(-24) + -6 + (-2 - (-1179)/(-120)) and 94/l + 1/3?
30
Suppose 0 = 5*n + 2*h - 22, n - 2*h = h + 1. Suppose n*k - 2*k + 14 = 0. Calculate the common denominator of -11/16 and 725/(-210) - 2/k.
48
Let c be ((-155)/(-25) + -6)/(497/(-754499)). Let l = c - -110/497. Let b = l + 32959/110. Find the common denominator of 35/108 and b.
1188
Suppose 5 + 5 = -5*g. Let s be (-16180)/(-4) + g + 1. Find the common denominator of (-2)/11 + s/(-990) and 37/30.
30
Let m(p) = p**3 - 28*p**2 + 49*p + 78. Let g be m(26). Suppose g = 6*f - 83 - 97. What is the least common multiple of f and 1?
30
Suppose -4*d = -3*d + 7. Let y = 2154 + -15046/7. Calculate the common denominator of 1/(-4)*(d - -6) and y.
28
Suppose -1115*h = -1128*h - 19955. Let v = -1502 - h. Let x(q) = -q**3 - q + 21. Calculate the least common multiple of x(0) and v.
231
Suppose 2*s - 8428 = -3*v, 34*v + 5*s = 29*v + 14050. What is the smallest common multiple of 312 and v?
2808
Suppose 3*d - 4*d + 328 = -3*c, 3*d = -c + 1034. Suppose -4*g - 7*m + 4*m = -d, 3*m = -g + 97. What is the least common multiple of g and 18?
738
Suppose 9*w + 315 = 4*w. Let i = w - -71. Find the common denominator of -63/8 and ((-63)/(-60))/((-12)/i).
40
Let r(t) be the third derivative of t**4/2 - 11*t**3 - 4*t**2 + 5*t. Calculate the lowest common multiple of r(13) and 48.
720
Let a be (-136)/(-170)*(-3)/(-96)*-3. Let w = -177/40 + a. Wha