 common multiple of b(8) and w.
189
Suppose 0 = -t - 4*t - 20. Find the common denominator of 4/12 + (-435)/(-36) and (t/66)/((-48)/(-3708)).
132
Suppose -4*v + 10*v - 102 = 0. Suppose 0 = -i + 2, v*i - 15*i = p - 36. What is the lowest common multiple of p and 12?
120
Let t(o) = -o - 1. Let i(q) = -3*q - 2. Let x(w) = -6*i(w) + 15*t(w). Calculate the lowest common multiple of 21/28*32*((-29)/12 + 3) and x(3).
42
Let m = 4615 + -719935/156. Find the common denominator of m and 95/108.
1404
Suppose 60 = 14*j - 2*j. Suppose 57 = z - 3*m, -2*m + 105 = 2*z - j*m. What is the smallest common multiple of z and 2?
48
Let m = 846151434 + -4166449696723/4924. Let g = m - -2/1231. What is the common denominator of -37/271 and g?
1084
Calculate the common denominator of 2/(-24) - 8333/(-2564) and -23/1034.
3102
Suppose -3*j = -2*v + 23, 3*v - 3*j = -j + 27. Let p = v + 3. Let m(z) = -z**3 + 2*z**2 + 4*z - 6. Calculate the smallest common multiple of p and m(-2).
10
Suppose 0 = 4*n - a - 15, 2*n - 19*a + 16*a + 5 = 0. Suppose -4*p - 68 = 4*y - 8*y, -41 = -2*y - n*p. What is the smallest common multiple of 12 and y?
36
Suppose 2*b + 3*b - 5*h - 1375 = 0, -3*h + 1114 = 4*b. Let c = b + -2425/9. Find the common denominator of c and 85/36.
36
Let h be (-6)/(-2)*(4 + (-6)/9). Suppose 16*t - 54 = h*t. Calculate the smallest common multiple of (0 - -3)/((-3)/(-14)) and t.
126
Suppose 55*g = 54*g + 60. What is the smallest common multiple of g and 240?
240
Let k(r) = 74*r + 240. Let m be k(19). Let d = 14848/9 - m. Find the common denominator of 71/60 and d.
180
Let f(k) = -2*k**2 + 42*k - 213. What is the lowest common multiple of f(10) and 321?
2247
Let q be 244 + 3 + -1*(3 - -4). Let w = -222 + q. Let f = 25 - 7. Calculate the least common multiple of w and f.
18
Let n be ((-320)/(-25))/((-10)/(-25)). Let t = 70 - n. Find the common denominator of (-62)/(-186) - (t/(-54) + 1) and -31/45.
135
Let j = -5878573/190 - -30940. Calculate the common denominator of 55/399 and j.
3990
Let o = 456 + -651. Let c = o + 217. Calculate the smallest common multiple of c and 1/(-1*(-2)/4).
22
Suppose 21*r - 17*r = 80. Suppose r*i - 2612 - 328 = 0. Calculate the smallest common multiple of i and 11.
1617
Let i = -4270 - -17115/4. Let a be (-12)/(-54) + (-572)/(-18). Calculate the common denominator of 4*(1 - (-25)/a) and i.
8
Let j(h) = 2*h**3 - 20*h**2 + 23*h - 42. Let y(a) = a**2 - 10*a - 5. Calculate the smallest common multiple of j(9) and y(11).
6
Let f = -2143/4 + 561. Let k = -13/855 - 29119/53010. Calculate the common denominator of f and k.
124
Suppose -d + 3204 - 3129 = -3*o, -4*d + 5*o + 265 = 0. Calculate the lowest common multiple of 816 and d.
4080
Suppose 126*z - 3965 = 65*z. Calculate the smallest common multiple of z and 94.
6110
Let w(l) = -15*l - 11. Let p be w(-1). Suppose 2*j + 244 = -p*q + 6*j, -j - 71 = q. Find the common denominator of (7 + -1)*q/(-64) and -37/12.
48
Let d = 4832/7 + -692. Suppose 0 = -3*c + 168 - 33. Calculate the common denominator of d and 1*3 + (-2)/c*-85.
63
What is the common denominator of 103/212 and 10/((-10560)/(-778)) + 13/(-208)?
6996
Let t = 172 - 122. Let k(p) = -2*p**2 - 164*p - 3217. What is the lowest common multiple of k(-46) and t?
950
Let w = -60 + 104. Let v = 96 + -92. What is the least common multiple of w and v + ((-62)/155 - (-82)/5)?
220
Let f = 38951/6 + -6513. What is the common denominator of -13/1006 and f?
3018
Let l = 251439251 + -21874121006/87. Let g = l + -12573. Let b = -647/87 + g. What is the common denominator of -56/11 and b?
33
Let o = 2728 + -1663. Let m = o + -8583/8. What is the common denominator of m and -4/41?
328
Suppose 45 = g - 3*v, -40 - 29 = -g - 5*v. What is the least common multiple of (-104)/286*22/(-28)*7 and g?
54
Suppose 5*o - 339 = -3*l, -4*l + 349 = 4*o + 73. What is the lowest common multiple of 6732 and o?
6732
Suppose -22*a + 463 = -261 + 108. Let f = 4 - 0. Suppose 35 = f*w + 3*d, -3*w + 36 = 2*w - 4*d. What is the smallest common multiple of w and a?
56
Suppose -14 = -2*p - 0. Let c(k) = -12*k - 20. What is the lowest common multiple of p and c(-4)?
28
Suppose -112 = 7*m - 3*m. Find the common denominator of 45/32 and 37 + -33 + 198/m.
224
Let v = 740231/95 - 7792. What is the common denominator of (-94017)/7770 - 11*-2 and v?
190
Let n be 2/(-10)*7923 - 4/10. Let j be 6/4 + 31717/20. Let d = j + n. Find the common denominator of -61/16 and d.
80
Let b = -30 + 42. Let t(w) = w**3 - 20*w**2 + 23*w - 24. Calculate the least common multiple of t(19) and b.
156
What is the common denominator of 68/5811 and (-724)/(-60) - ((-4)/14)/((-105)/(-49))?
29055
Find the common denominator of -89/90 and 678/(-476) - 6*64/(-672).
1530
Let c(l) = -3*l**3 - 7*l**2 + 6*l**2 - l**2 - l**3 - l. Let v be c(-1). What is the common denominator of -77/30 and (v - 3) + (29/(-27) - 1)?
270
Suppose 43*x - 107*x = -49*x - 3360. What is the least common multiple of x and 385?
12320
Let p(t) = 5*t**2 + 38*t + 144. Let f be p(-32). Calculate the common denominator of (-12)/(-15) + f/(-1440) and -179/30.
90
Let n = 19517569109/1980 - 9857364. Let m = n - -19/220. What is the common denominator of m and -56/81?
81
Let b = -117 - -183. Let o be 2/3 - (-17)/(-3)*-8. Let u = b - o. What is the lowest common multiple of 10 and u?
20
Let f = 163983 + -25253295/154. What is the common denominator of f and 374/88*1/4?
1232
Let u = -3830 + 3849. What is the least common multiple of (-10)/35 + 65/7 and u?
171
Let y(l) = -2*l + 38 - 4*l + 0*l + 2*l. Let n be y(10). What is the common denominator of 2 + 2 - 40/15*n and -52/3?
3
What is the least common multiple of 240 and ((-30)/(-1))/(6 - (-649)/(-110))?
1200
Let p be 6/(1/((-4)/(-3))). Let f = 139 - 135. Suppose f*m - 8*m = -p. What is the least common multiple of m and 4?
4
Find the common denominator of -77/5270 and (-1)/2*((-2949150)/92225 - -32).
36890
Let z = -3 - -21. Let a(s) = 25*s**2 + 12*s - 46. What is the smallest common multiple of z and a(-2)?
90
What is the common denominator of 4*6/132 + 820/935 and 4?
17
Let m = 4 - -4. Suppose 2 = -z - g, -g = -z - 3*z - m. Calculate the common denominator of -4 + (-191)/(-12) + z and -1/18.
36
What is the lowest common multiple of 2/(-45) - 16073024/(-8415) and 8?
7640
Let v(g) = -55*g - 1941. What is the least common multiple of 48 and v(-39)?
816
Suppose 0 = 4*i + x - 16428, -5*i + 20552 = 1399*x - 1402*x. What is the smallest common multiple of 22 and i?
45188
Suppose 0 = -3*t + 21 + 15. Suppose -4*q - t = -8*q. Suppose q*n - 26 + 2 = 0. What is the smallest common multiple of 6 and n?
24
Let v be 4/18 + 6826857/540. Let g = v + -12638. Let q = 223971/14 - 15990. What is the common denominator of q and g?
140
Suppose 138 = 9*a + 111. Calculate the smallest common multiple of 2655 and a.
2655
Let y(p) be the third derivative of p**4/8 - 9*p**3/2 + 37*p**2 - 6. Suppose 4*c = 2*c + 22. Calculate the least common multiple of 12 and y(c).
12
Let z = 11443 - 274681/24. Let w = 3433765/8 - 423915. Let p = w - 5298. Find the common denominator of z and p.
24
Let w(h) = 2*h**3 - h + 1. Let y be w(1). Suppose -3*k + 188 = 5*r, -y*r - 5*k = -3*k - 72. Let p = 9639 + -9611. What is the least common multiple of r and p?
280
Let b = -18622122727/2060 - -9039865. Let i = 1/12350 - -61647/1272050. Let o = b - i. Find the common denominator of -87/4 and o.
20
Let j be ((-239)/265)/(39456/(-6580) - -6). Let d = -219/106 + j. Let t = d + 246. Find the common denominator of t and -79/2.
6
Suppose 3*h - 16 = 17. Let q = -43624 + 872259/20. Let p = q + h. Find the common denominator of p and -3/4.
20
Suppose 2*q + 23*c = 27*c + 12, -c = 0. Calculate the common denominator of 71/10 and (-477)/(-364) - (360/63 - q).
260
Let c be (-57054)/(-56)*(-14)/(-20). Let m = c - 716. What is the common denominator of m and 75/56?
280
Let r(h) = -h**3 + 3*h**2 + 26*h + 14. Let j be r(7). Suppose j = -27*v + 59 + 265. Calculate the least common multiple of v and 258.
516
Let q be (-1)/(-2) + (-56)/116. Let g be ((-3920)/1450)/((-3)/(-15)). Let h = q + g. What is the common denominator of h and -133/30?
30
Let o(y) = 4*y**2 - 418*y + 1272. What is the lowest common multiple of o(3) and 18?
54
Suppose 5*b + 27 = 42. Suppose -b*q = 3*v - 12 - 