mon denominator of (2/712)/(3/f) and k?
1958
Let y be (3/(-8)*2)/((-1)/28). Suppose -717 = -y*d + 417. Calculate the least common multiple of d and 54.
54
Let q be 46/8 + (-1)/(-4). Let o = 179 - 183. Find the common denominator of 6/(-8)*q/o and -38/63.
504
Find the common denominator of (17/(-45))/((-12)/129) + -1 + -4 and -51/160.
1440
Let j = -129 + 108. What is the common denominator of -6 - ((-62785)/11400 - j/(-35)) and 43/27?
4104
Suppose -4 = -4*k - 0. Suppose 0 = -5*f + 31 - k. Suppose -f*v = -5*v - 18. What is the lowest common multiple of 24 and v?
72
Let z(r) = 5*r**2 - 27*r - 59. Let f(a) = 7*a**2 - 27*a - 59. Let n(o) = 3*f(o) - 4*z(o). What is the lowest common multiple of n(-25) and 27?
27
Let u = -172922228/925 - -186943. Calculate the common denominator of -59/5 and u.
925
Calculate the common denominator of 59/84 and 9/12*-3*1744/216.
84
Let f(w) = -w + 0*w + 16 + 8. Let o be f(22). What is the common denominator of 30/7 and 14/o - 4/18?
63
Suppose 35 - 25 = 5*q. Suppose 17*h - 121 = -q. What is the least common multiple of 29 and h?
203
Let o = 160681/342216 + -1/6984. Calculate the common denominator of o and ((-56)/(-245))/((-18)/(-640)) + -7.
441
Let m(u) = 84*u**2 + 4*u + 3. Let z be m(-2). Let i = 589/2 - z. Let c = 14633/54498 - -5/879. Calculate the common denominator of c and i.
62
Let p = 5874 - 5853. What is the smallest common multiple of p and 420?
420
Let f(l) = -5*l**2 + 160*l - 93. What is the smallest common multiple of 552 and f(30)?
1656
Find the common denominator of -61/1005 and 42/56 + (411/(-180) - -3).
1005
Let k(g) = g**3 + 8*g**2 + 6*g + 10. Suppose -6*i = 6 + 18. Let w be k(i). Let f = -8 + w. Calculate the smallest common multiple of 2 and f.
42
Let f be ((-12)/(-2))/(-1 - 20/(-8)). Find the common denominator of (-294)/80*-2 - f and -34/45.
180
Let p = 558 + -341. Let a = p + -208. What is the smallest common multiple of a and 3?
9
Let n = -199/27 + 15077/1998. Suppose 0 = -18*a + 122 - 770. Calculate the common denominator of n and (-1)/a*12 + (-502)/(-60).
370
Let t be 8/(64/(-85576)) + -3. Let r = t - -513629/48. Calculate the common denominator of -41/90 and r.
720
What is the common denominator of (0 + 90/168)*(-15)/(-690) and -17/32?
5152
What is the least common multiple of ((-35)/(-14))/(5/48) and 552?
552
Let g(x) = -x + 4. Let b be g(5). Find the common denominator of (b - 0) + 154/(-16) and 5 + 23 + -9 + -19 - (-93)/16.
16
Let g(j) = -46*j**2 - 6*j + 4155. What is the lowest common multiple of g(0) and 33?
45705
Let j(l) = -162*l + 3786. Calculate the lowest common multiple of j(20) and 6.
546
Let n = -3 + 202/63. What is the common denominator of (-232405)/(-478842) + (-6)/(-27)*-3 and n?
1638
Let h = 106 + -92. Suppose 0 = 26*v - 8*v - 5184. What is the smallest common multiple of v and h?
2016
Let a be 1/2 - 15/(-6). Let u(b) = 2*b**3 - 2*b**2 + b + 1. Calculate the least common multiple of (18 - -8 - 25)/(3 - (-78)/(-27)) and u(a).
360
Suppose -2*k + i = 224, -4*i - 534 = k + 4*k. Let u be 335/k*4 - 1. Let f = u + 135/11. Find the common denominator of f and 75/4.
44
Let a be (-5)/6 + (-19)/(-12)*10. Find the common denominator of a/(-9 - -4) + 314/110 and 57/16.
880
Let n be (((-4041)/3)/(-3))/(-184). Let o be (13/208*-2)/((-23)/(-12)). Let q = o - n. Calculate the common denominator of 11/6 and q.
24
Suppose -3*u + 3*j + 6 = 0, 2*u + 0 - 19 = 5*j. Calculate the common denominator of 69/10 and -1 + (u - (-206)/30).
30
Suppose 79 = -l + 368. Find the common denominator of l/(-116) + (-3)/(-4) and (-125)/(-12) - -1*2.
348
Suppose 0 = -109*q + 122736 + 197397. Calculate the lowest common multiple of q and 534.
5874
Let c(p) = -21*p - p**2 - 16 + 4*p + 2*p. Let s be c(-14). Calculate the smallest common multiple of 2 and (-5)/(20/(-84))*s/(-6).
14
Let a = -4728629/612 - -30907/4. Find the common denominator of -37/170 and a.
1530
Let u(i) = 3*i**2 + 19*i + 4. Let b(g) = g - 21. Let z be b(13). Calculate the least common multiple of 2 and u(z).
44
Let y = -13 + 59. Suppose -23 = -5*o + 27. What is the least common multiple of y and o?
230
Suppose -101*p + 10222 = -1898. Calculate the least common multiple of 480 and p.
480
Let z = -2/257335 - 21358469/43232280. What is the common denominator of z and -109/24?
168
Suppose 19*g = 34*g + 135. Calculate the least common multiple of 44 and 39 + ((-378)/g)/6.
1012
Let d(a) be the second derivative of -a**5/20 + a**4/2 - a**3/3 + 4*a**2 + 7*a. Let i be d(6). Find the common denominator of -87/10 and 262*(i - 388/(-96)).
60
Let n(t) = t + 22. Let u be n(5). Let y be (-9 - -8) + (-4)/2 + u. Let s = 39 - y. Calculate the smallest common multiple of 27 and s.
135
Let c = 4/5575 + -34581/22300. Find the common denominator of c and -6/65.
260
Let j = 1061723/15419277 + 1/184662. Let d = -66171/16 + 4134. Find the common denominator of d and j.
2672
Let x = 49362/65 + -31104/13. Let f = x - -1643. Let w = 480 + -1426/3. Find the common denominator of w and f.
15
Suppose -88 = -7*f + 3*f. What is the least common multiple of f and (-4488)/357*42/(-24)?
22
Let w(a) = 2*a**2 - 6*a - 4. Let y(p) be the second derivative of p**4/12 + 2*p**3 - 11*p**2/2 + p + 2. What is the lowest common multiple of y(-13) and w(5)?
16
Let u = 73250/11 - 6656. Calculate the common denominator of (-7312)/1760 - (-1)/5 and u.
22
Let z(a) = -a**3 + 8*a**2 - 3*a - 4. Let k = 2815 + -2795. What is the lowest common multiple of z(5) and k?
280
Let c = -50 - -28. Let n = 40 - c. Calculate the least common multiple of 2 and n.
62
Let x = 15496 + -697381/45. What is the common denominator of x and ((-495)/100 + 3)*80/(-45)?
45
Suppose 2*x + 3*g + 10 = -2*x, 4*g + 9 = -x. Let l be 1 + (-4)/(-1) + -2 + x. What is the common denominator of 21/l*21/90 and -97/6?
60
Suppose v + 56 = 3*t + t, 3*t - 52 = v. Let c = 52 + v. Suppose 0 = -c*u + 7*u - 175. Find the common denominator of -53/2 and u.
2
Let h be 4251/(-604)*60/(-54). Let w = h + 2/151. Let b = -345 - -9319/27. What is the common denominator of b and w?
54
Let c = -3 + -2. Find the common denominator of -24/11 and ((-712)/(-80) + c)/(1 + 0).
110
Let q be ((-1903)/(-20))/((-12)/1312). Let l(r) = -2608*r**2 + 15*r - 5. Let o be l(2). Let d = q - o. Calculate the common denominator of 13/11 and d.
165
Calculate the common denominator of -89/30 and 5978/(-8160) - 284/(-355).
4080
Suppose 3*g - 591 = 5*k, 0*k + 341 = -3*k - 5*g. Let a = -55 - k. Let z = 78 - a. Calculate the least common multiple of 6 and z.
48
Suppose 31*m + 3186 - 11711 = 0. What is the smallest common multiple of m and 3325?
36575
Suppose -121 + 565 = 3*n. Suppose -4*z - 4*w + n = 0, 133 - 14 = 3*z + 5*w. Calculate the least common multiple of 27 and z.
297
Let y(n) = 2*n - 1. Let g be y(-8). Let t = 27 + g. What is the smallest common multiple of t and (36/15)/(2/5)?
30
Suppose 6*y = 2*y + 3*v + 5, 4*v = -3*y - 15. Calculate the smallest common multiple of (y - -28)*(-270)/(-81) and 8.
360
Let d = 528 - 448. Suppose d*w - 75*w - 70 = 0. Calculate the smallest common multiple of 49 and w.
98
Suppose 7*s - 75 = 2*z, -40 = -4*s - 0*s + 4*z. What is the smallest common multiple of 661 and s?
7271
Let m(b) = -b**3 + 24*b**2 + 29*b - 348. Calculate the smallest common multiple of 1166 and m(23).
9328
Let q(u) = 151*u + 657. Calculate the least common multiple of q(-3) and 236.
12036
Suppose 0 = x + 4*p - 1098, 63 = -2*x - 4*p + 2251. Calculate the least common multiple of 18 and x.
9810
Let m be (-2)/6*(-24)/(2/1). Let d be (-8 - (-26)/m)*4/(-3). What is the lowest common multiple of (-13 - -14)/((-7)/(-3) - d) and 1?
3
Suppose -5*l + 4*i + 378 = 272, i + 79 = 5*l. Let v(j) be the second derivative of j**3/6 - 3*j**2/2 - j. Calculate the lowest common multiple of l and v(7).
28
Let f = 4558/19 - 220741/912. Let d = 66403/30 + -2217. Find the common denominator of f and d.
240
Let v = -219014/15 + 14599. Calculate the common denominator of v and 221/2310.
2310
Let h(q) = q**3 - 13*q**2 - 19*q + 379. Calculate the smallest common multiple of h(12) and 30.
210
Let y = 165 - 20. Let w = y - 136. Suppose -c + 2*c = 7. Calculate the smallest common multiple of c and w.
63
Let l = 3 - 2. Let j = 814386 + -814370. What is the smallest common multiple of j and (-3)/(((-1