e of 18 and p.
180
Find the common denominator of (9 - 438/27)*1/(-4) and 41/108.
108
Suppose -3*b - 20 = 2*b. Let o be 45/(-24) - b/(-32). Calculate the common denominator of (-508)/(-88) - o - 4 and -19/42.
462
Let u(a) be the third derivative of -5*a**4/24 + 43*a**3/2 - 5*a**2 + 1. Calculate the smallest common multiple of 27 and u(21).
216
Suppose -3*b = 3*x + 105, 0 = -4*b + 6*b + 4*x + 78. Calculate the common denominator of 325/(-170)*(-11)/(-165) and b.
102
Let v = -7149 - -7167. Suppose -15 = -l + m + 2, 0 = 5*l + 5*m - 65. Let w = v - l. What is the lowest common multiple of w and 9?
9
Suppose 5*u - 103 = 52. Suppose 4*h + 12 + 36 = -3*s, 2*s = -3*h - u. Calculate the lowest common multiple of (-1535)/s + (21/(-4))/7 and 12.
228
Let v(o) = o**3 + 6*o**2 - 5*o + 22. Suppose 68 = -11*s - 9. What is the smallest common multiple of 4 and v(s)?
8
Let c(s) = -29*s - 2807. What is the lowest common multiple of c(-97) and 1036?
3108
Calculate the least common multiple of (-11 + 1 + -3)*(1 - (5 - -151)) and 50.
20150
Let p(q) = q**3 - 67*q**2 - 148*q + 703. Let i = 68 - 30. What is the lowest common multiple of i and p(69)?
494
Let f(q) = -5*q - 18. Let j(x) = -2*x - 18. Let v be j(-6). Calculate the least common multiple of f(v) and 6/(-4)*(-260)/39.
60
Suppose -2335 = -41*b + 1519. Calculate the lowest common multiple of b and 1058.
49726
Let d be 15/((-45)/2)*6/4. What is the smallest common multiple of 2 - (d - -1)/(19 + -16) and 4?
4
Suppose -2*m + 504 = -5*o, 5*o - 2*m - 2*m = -498. Let l = o - -100. Calculate the common denominator of -55/8 and (-273)/24 + (-2 + l)/(-1).
8
Let b = -17726337727/1182 + 14996922. Let m = 40/197 - b. Find the common denominator of -101/2 and m.
6
Let o(z) = 11*z**2 - 134. Calculate the smallest common multiple of 24 and o(8).
2280
Suppose 4*j - 11881 - 2010 = 5*d, -d - 7 = 0. What is the least common multiple of 28 and j?
24248
Let d be 12/(-138) - 471/(-7797). Let t = d + -4951/791. Calculate the common denominator of t and ((-1)/12)/((-3)/642).
42
Let v(k) = -906*k**2 - 2*k - 1. Let h be v(-2). Let x be 0 - 11/((-990)/325659). Let t = x + h. What is the common denominator of -68/33 and t?
330
What is the common denominator of ((-1360)/60)/17*(-186)/1940 and -35/582?
2910
Suppose 10*c - 96 = 74. Suppose c*n = 267 + 294. What is the lowest common multiple of 36 and n?
396
Let y = 12320 - -5462. What is the least common multiple of y and 18?
160038
Let a = -269003/87252 + -2/7271. Let s be 18/(-12) - (-152238)/84501. Let v = s + 19/687. Find the common denominator of v and a.
492
Calculate the common denominator of -64/27 and (-1349)/665 - (-24)/15 - 59/777.
999
Let v(p) = p**2 - 10*p + 23. Suppose 0 = z + 4*t - 21, -3*z - t = -2 - 6. Let w be 4*(z - -5)/3. What is the least common multiple of 8 and v(w)?
56
Suppose -3*z = 3*p - 21, -10*p + 5*p + 14 = -2*z. Find the common denominator of 360/1125*(-19)/p and 87/2.
50
Let j(b) = 9*b - 257. Suppose -5*v + 426 = 261. What is the smallest common multiple of 24 and j(v)?
120
Let z(h) = 4*h + 7. Let u(s) = -9*s - 14. Let r(x) = -3*u(x) - 7*z(x). Let q be r(-11). Find the common denominator of ((-147)/q)/(-3) + 2 and 161/66.
132
Let p = 692/17 + -3018/85. What is the common denominator of 39/223 and p?
1115
Let f = -30404 + 31880. What is the least common multiple of 72 and f?
2952
Suppose 0 = 5*f - 575 - 1645. What is the common denominator of 97/16 and ((-140)/f)/(18/(-27))?
592
Let j = -24305 - -1093673/45. Find the common denominator of (3/((-105)/(-154)))/(-5) and j.
225
Suppose -r - r = -16. Let j = -82505 + 660049/8. Find the common denominator of 0/(-1) - 90/r and j.
8
Let b(c) = -6*c + 5. Let w(q) = -121*q - 3852. What is the smallest common multiple of w(-32) and b(-5)?
140
Let s(l) = l - 32. Let h be s(15). Let i = h + 29. What is the lowest common multiple of 16/(-6)*((-9)/1 + 3) and i?
48
Let p = -45 - -44. Let l(k) = -5*k**3 + k + 1. Suppose 46*w + 228 = 52*w. What is the lowest common multiple of l(p) and w?
190
What is the common denominator of 39/(-9) + (-227704)/(-52752) and 75/34?
37366
Let u(s) = -s**3 - 8*s**2 + 6*s - 20. Let b be u(-9). Calculate the common denominator of (-2 + (-535)/20)*6/10 and b/(-14)*116/18.
36
Let j = 2/2953 + 209611/76778. What is the common denominator of -53/28 and j?
364
Let m = 6455/7 - 659257/714. What is the common denominator of -2 - (4/132)/((-3)/426) and m?
1122
Let m be 17529/17531 - (-15 + 16). Let l = m - 54749297/140248. Let h = -395 - l. What is the common denominator of h and -89/6?
24
Let l = 253735/8 + -7170053/216. Let y = -1479 - l. What is the common denominator of 19/6 and y?
54
Let k(i) = -2*i**3 + 5*i**2 + 4*i - 1. Let x be k(3). Suppose 0 = -x*g - 10*b + 15*b + 134, -g + 68 = -2*b. What is the smallest common multiple of g and 81?
648
Suppose -188*h + 183*h + 5*y + 335 = 0, y - 293 = -4*h. Calculate the smallest common multiple of h and 22.
792
Let r(o) = 163*o - 2343. What is the lowest common multiple of r(18) and 18?
3546
Let w be 42/1*200/80. What is the common denominator of (-4)/14 + (4236/w)/4 and ((-1)/3)/(69/144)?
115
Suppose 54*a - 42*a = -84. Suppose 4*b - 40 = 52. Let f = b + a. Calculate the lowest common multiple of 10 and f.
80
What is the common denominator of (9/15)/(-3)*4*(-297)/3080 and 29/10?
350
Suppose m + 69 = -4*l, 3*m - 39 = -3*l - 255. Let k = 82 + m. Calculate the smallest common multiple of k and 8.
72
Let b = -747 + 1305. Calculate the smallest common multiple of b and 96.
8928
Suppose 12 = -0*c + c. Calculate the smallest common multiple of c and 52/5*(-8010)/(-10413).
24
Find the common denominator of -57/220 and (-30)/4*237/378*2/25.
4620
Let o = -7426280560740073/39610 + 187484992707. Let v = o + 2/3961. Find the common denominator of v and -19/9.
90
Let u = -5862205 + 54096427837/9228. Calculate the common denominator of 81/20 and u.
46140
Let t be (-1 + (-12)/(-9))*-3. Let m be -2*(-38 + 4)/t. Calculate the common denominator of -95/18 and m/960 + (-1)/2.
720
Let b = 2769/7 - 394. Suppose -44 = 2*u - u. Calculate the common denominator of b and 4 - (280/u)/(-1).
77
Let v = -174056 - -86157686/495. Calculate the common denominator of 20/693 and v.
3465
Let q = 76511110 - 217597594007/2844. Let k = q + 5/158. Find the common denominator of k and -41/64.
576
Let q = 779230/51 - 15280. Let c = q + -3223/510. Calculate the common denominator of c and 103/30.
30
Suppose -2*r = -4, 3*f - 4*f = -5*r - 404. Suppose 17*h - f = -6*h. What is the least common multiple of h and 21?
126
Let o(c) be the first derivative of 2*c**3/3 + 3*c**2/2 + 2*c + 13. Let u be o(-2). Suppose u*h - 58 = -10. What is the smallest common multiple of h and 20?
60
Let i be 2/((-3)/((-117)/2)). Let d = -668 + 686. What is the lowest common multiple of d and (-8)/4 + i - 1?
36
Let l(f) = -7*f**3 - 3*f**2 - f - 2. Let x be l(-2). Suppose 0 = -5*m + 659 - x. Let c = m + -108. What is the smallest common multiple of c and 30?
30
Let z(v) = 9*v + 84. Let b be z(-8). Calculate the common denominator of (-48)/b - (1821/(-450) + 0) and -143/12.
300
Let l = 8 + 1. Let r = 438 - 377. Calculate the common denominator of 27/l + r/4 and -17/16.
16
Suppose -5*r + 14580 = 20*r + 83*r. What is the smallest common multiple of r and 45?
135
Suppose -5*u - k + 18 = 3*k, -5*u + 39 = -3*k. What is the lowest common multiple of u and (-3 + -1)/4 + (-333)/(-111)?
6
Let c = -100/23 - 6/115. What is the common denominator of 15/(-12) + 2 + 11704/(-2912) and c?
130
Let d(z) = -26*z**3 + 2*z - 1. Let n be d(1). Calculate the common denominator of (-18)/40*(-372)/(-18) and 2 - ((-10)/n + (-146)/140).
70
Let l(g) = -12*g + 41. Let t be l(-3). What is the lowest common multiple of 1 + -4 + t/7 and 76?
152
Let h = 952/143 - -631116/1001. Let t be (-8)/(-52) + (-231626)/364. Let a = h + t. Calculate the common denominator of 29/4 and a.
52
Suppose -5*y - 13 = 7. Suppose 55*t - 2 = 54*t. Calculate the smallest common multiple of 8 and ((-3)/(-6))/(t/(-16)*y).
8
Calculate the common denominator of 27/20 and 5 + 1 + (-2)/3 + 31132/(-5832).
14580
Let g(j) = -2*j**3 + 2*j**2 + 14*j + 10. Calculate the smallest common multiple of 76 and g(-3).
760
Let n = -151324/9 - -16808. Find the common denominator of n and 2/6*6/(-112).
50