What is the least common multiple of 8 and -22 - (-77)/11 - -840?
6600
Let s(z) = -33*z**3 - 14*z**2 + 14*z - 83. Let x be s(-11). Let p = x + -1007669/24. Calculate the common denominator of 71/4 and p.
24
Find the common denominator of 210/(-2870)*(-133)/(-54) and 53/492.
1476
Suppose -4 - 521 = -5*r. Suppose -2*y + 5*x + 38 = x, -5*x = -2*y + 40. Calculate the smallest common multiple of y and r.
105
Let p be 4/2*3/6. What is the common denominator of p/((-1)/3) + (-83)/(-9) and (-3028)/2280 + (-6)/57?
90
Suppose 5*a - 5*j = 6*a - 60, j = 1. Let y = 2 - 0. What is the smallest common multiple of y and 22/8*40/(a/11)?
22
Suppose -a + 0*a - 5 = 0. Find the common denominator of (8/(-6))/(a/(-11)) and ((-104)/(-156))/((-3)/(-6)).
15
Let y(q) = q**2 - 10. Let w(d) = 1. Let u(a) = 3*w(a) + y(a). Suppose 4*n = 4*o - 116, 3*o + 415 - 524 = 5*n. What is the least common multiple of u(5) and o?
18
Suppose 2*m + 42 = 54, -2*c = 5*m - 706. Calculate the lowest common multiple of c and 1183.
2366
Suppose 2*c - 1 = 5*c + z, -19 = -3*c - 5*z. Calculate the common denominator of (-3)/(-162)*-1*(-21)/c and 79/44.
396
Suppose -4*q = -5*z - 30831, 5*q + 14*z - 11*z - 38585 = 0. Calculate the smallest common multiple of q and 20.
77140
Suppose -300 = -j - 4*w + w, 0 = j + w - 292. Let i = 310 - j. What is the smallest common multiple of i and 26?
286
Suppose -16 = -4*r - 4*h, 53*r - 16 = 50*r + h. Suppose 4*c + 16 = 3*m - 64, -r*c - 135 = -5*m. What is the lowest common multiple of m and 21?
84
Let u = -854/1999 - -2352833/5671163. Calculate the common denominator of -99/2 and u.
5674
Let s = 9112 - 9012. Calculate the smallest common multiple of s and 120.
600
Suppose -5*n - 2 - 44 = 3*y, 4*y + 84 = -n. Let g = y - -40. Let u(r) = -r**3 - 23*r**2 + 24*r + 3. Calculate the smallest common multiple of g and u(-24).
18
Let j = -2865016 + 13557255799/4732. Calculate the common denominator of j and -125/2028.
14196
Let j be (-2)/11 + (-189)/154*-2412. Suppose -11*i + 51*i - j = 0. What is the lowest common multiple of 14 and i?
518
Calculate the common denominator of (-16457)/(-1344) + 4 + (-80)/5 and 85/3584.
10752
Let a(x) = x**2 + 5*x - 36. Calculate the smallest common multiple of 116 and a(-12).
1392
Let i = 66186317/15 + -4414585. Let w = 2162 + i. What is the common denominator of 9/(729/(-12))*(6 - 37/4) and w?
135
Let t = -208 - -433. Let v = -121 + t. Suppose v = 4*x - 5*l, -4*l = -0*x - 4*x + 104. Calculate the least common multiple of x and 1.
26
Let b(w) = -5*w**3 + w. Let f be b(-1). Let v(p) = -2*p**2 - p**3 - p + 7*p**2 - 99 - 101 + 191. Calculate the lowest common multiple of 12 and v(f).
12
Let d(o) = 45 + 59 + 12*o**2 - o**3 + 3*o**3 - 92 - 16*o. Suppose x - 5*m = -m, 5*x + 2*m = 88. What is the lowest common multiple of d(-7) and x?
208
Suppose 4*g + j = -6, -4*g + 2 = -3*j - 0. Let s = g - -3. Calculate the lowest common multiple of (4/(-42)*280/120)/(4/(-108)) and s.
6
What is the lowest common multiple of 492 and -3*(-2)/(-24) + 11 + (-12712)/(-32)?
16728
Let q = 760651/12 + -63381. What is the common denominator of q and -2*50/112 - 1?
84
Calculate the common denominator of ((-47)/55)/((-1740)/(-50) + -33) and -53/117.
1287
Suppose 7*k - 13 = 1. Suppose i - 7 = -d, i = 3 - 2. What is the lowest common multiple of (-305)/(-10) + 1/k - 1 and d?
30
Suppose -72 = -5*n - 3*r - 666, -5*n - 2*r = 591. Let t = n - -121. Calculate the least common multiple of 10 and t.
20
Let c(r) = 6*r**2 + 11*r - 37. Suppose 0 = 3*b + 4*m - 61, -b - 4*m + 15 + 16 = 0. Calculate the smallest common multiple of c(-7) and b.
180
Let k be -13 + 0 + 0*1/4. Let p(o) = -3*o**2 + 11*o - 10. Let a be p(k). Let v = a - -3857/6. Calculate the common denominator of v and 37/4.
12
Suppose 3*g = 2*d - 239, 2*d + 0*d = -3*g + 209. Suppose -2*s + u + 7 + d = 0, 3*u = 3*s - 186. Let j = s - 21. What is the lowest common multiple of 15 and j?
180
Find the common denominator of -5/24 and (-2)/(-40) - (-4687)/271410.
1992
Suppose 3*k - 7 = d, -d = 4*k - 0*k - 7. Let t be (d/2)/(((-28)/(-48))/7). What is the common denominator of ((-2)/t)/(58/91) and 65/18?
522
Let r(v) = -v**2 - 3*v + 3. Let c be r(-3). Suppose -3*s + 9 = 3*l, -c*s + 2*l + 4 = -0. Suppose 0 - 6 = -s*x. What is the smallest common multiple of 1 and x?
3
Let o(k) be the second derivative of 3*k**3/2 + 5*k**2 + 505*k. Let y = 11 - 9. What is the least common multiple of 28 and o(y)?
28
Let h = -46036549 - -173465714575/3768. Let s = 2/471 + h. Let o = -3634 - -29005/8. What is the common denominator of o and s?
24
Find the common denominator of 17/52 and (-4)/(-18) + 2 + (172950/(-15444))/5.
572
Let s be 14/(-91) - (14289/(-4914) + 2). Let f = 13/7 + s. Calculate the common denominator of 39/292 and f.
2628
Suppose 1118 = 7*w + 803. What is the smallest common multiple of w and 678?
10170
Suppose -1096 = -76*k + 72*k. What is the lowest common multiple of k and ((-765)/12)/(-3) + 3/4?
3014
Let m(o) = -2*o**3 - 5*o**2 - 3*o - 2. Suppose 2*r = 2*v + 14, 3*v + 0*v + 5*r = 11. Let f = 35393 - 35385. What is the smallest common multiple of f and m(v)?
16
Let p = 77313/40670 + -4/4067. Calculate the common denominator of p and -41/1080.
1080
Let o be 3/(18/(-24))*(-10)/4. What is the common denominator of (-2)/36*o/(620/141) and 35/8?
744
Let k(m) = -m**3 + 29*m**2 - 3*m + 47. Let u be k(29). What is the common denominator of 16/u - 256/(-315) and -2/63?
63
Let h = 137514 - 53217949/387. What is the common denominator of -56/473 and h?
4257
Suppose -2*o + 29*w + 585 = 32*w, 0 = -3*o - 5*w + 877. What is the least common multiple of 84 and o?
588
Let z = 5474 - 27404/5. What is the common denominator of 59/18 and z?
90
Let r(p) = -12*p**3 - 27*p**2 - 6*p - 3. What is the smallest common multiple of 264 and r(-3)?
1056
Let x = -34 - -58. Suppose 24*u - 44*u + 240 = 0. Calculate the least common multiple of x and u.
24
Let m = 60/7 - 992/119. Let p = m - 25/34. What is the common denominator of p and 103/6?
6
Suppose -34*k + 2827 + 845 = 0. Calculate the lowest common multiple of 174 and k.
3132
Let g(y) = -11*y**2 - 3*y + 4. Let x be g(-3). Let o = -7512/905 + -18/181. Calculate the common denominator of (-1)/(x*2/4) and o.
215
Let i(f) = -f**3 - 24*f**2 - 39*f - 8. Let c be i(-15). Let k = 1630 + c. What is the lowest common multiple of k and -3*3/((-3)/2)?
546
Let i = -102/271 + 67817/146340. Calculate the common denominator of i and 5/216.
1080
Let s(w) = 4*w**2 - 231*w - 522. Calculate the least common multiple of 144 and s(60).
144
Let i(r) = 2*r**3 - 16*r**2 + 2*r - 11. Let p be i(8). Let x = -533/24 + 25/24. Calculate the common denominator of x and 1/(p/62)*(-45)/120.
60
Let k be (-11)/(-2) + (-2 - 3)/10. Suppose -k*m + 15 = v, -4*m + 18 = 5*v - 3*v. Suppose m = z - 8. What is the least common multiple of z and 14?
70
Let c(u) = -2*u**3 - 5*u**2 + 35*u + 38. Calculate the smallest common multiple of c(-8) and 198.
1386
Let o(k) = -3*k**3 + 5*k**2 - 9*k - 27. Calculate the smallest common multiple of o(-2) and 33.
1155
Let q be 2/((-8)/(-90635)) + (-81)/108. Let h be ((-8)/(-3))/(-4) - q/1956. Let v = -1/1956 - h. Find the common denominator of -77/10 and v.
20
Let p be ((-2)/(-16))/(2/(-160164)*-3). Let m be (3/(-9))/((-1)/(-9957)). Let t = p + m. Calculate the common denominator of t and 81/14.
28
Let m = 7416 - 1972707/266. Calculate the common denominator of m and -60/931.
1862
Calculate the common denominator of -12/215 and (3744/(-35776))/(1/(-3) + (-219)/(-9)).
3440
Let i = 262199536/1245 - 210602. What is the common denominator of 49/1826 and i?
27390
Let h be ((-14)/(-9))/(6666/4301) + -1. Let v = 55549/27270 - h. Find the common denominator of 91/60 + (-1)/(-3) and v.
60
Let k(g) be the second derivative of -g**3/2 + 5*g**2/2 - 10*g + 2. What is the least common multiple of 122 and k(-5)?
1220
Calculate the common denominator of (1088/(-430) - (3 + 115/(-25)))*-1 and 45/17.
731
Calculate the smallest common multiple of 26/(-4)*101388/(-2769) and 272.
1904
Find the common denominator of -23/1227 and 21243/597140*4/6.
12270
Let d(i) = 34*i + 204. Let m be d(-6). Suppose m = -20*q + 23*q - 396. What is the lowest common multiple of 12 and q?
132
Find the common denominator of (-926)/280 - 2/(-10) and (-581)/