common multiple of f and 3000.
21000
Suppose -2*w - 56 = -2*v, -30 = w - 5*v + 3*v. What is the common denominator of 113/24 and ((w/15)/(-13))/(4/149)?
120
Let i(o) = -o**3 - 4*o**2 - 5*o - 15. Let j be i(-7). Suppose -125 = 6*r - j. Calculate the least common multiple of r and 35.
35
Let o = -34229 - -34230. Calculate the least common multiple of (-4 + -2)/(2/(-6)) and o.
18
Suppose 2 = 3*y + 11. Let w be ((-24552)/(-4))/(((-1)/y)/1). Let l = w - 386620/21. Calculate the common denominator of 19/21 and l.
21
What is the common denominator of (-39 - -25) + 50013/3576 and -139/36?
10728
Let u(v) = v**3 + 21*v**2 + v + 26. Let m be u(-21). Suppose m*p - 62 = l, 7 + 0 = p - 2*l. Calculate the least common multiple of (-12 - 0)/((-3)/2) and p.
104
Let k(a) = -3*a**2 - 33*a + 150. Let c(u) = -2*u**2 - 16*u + 76. Let p(m) = 5*c(m) - 3*k(m). Calculate the lowest common multiple of p(13) and 168.
168
Suppose -2*t - 150 - 225 = -5*r, r = t + 72. Let p = 84 - r. What is the common denominator of -73/20 and (6/15)/(((-40)/p)/5)?
20
Let q = 12893588/39 - 330631. Let w = 31497/1196 + q. Calculate the common denominator of -111/10 and w.
1380
Let z(o) = -2*o**2 + 30*o + 31. Let p be z(16). Let q be ((1 + 3)/p - -3) + 5. What is the common denominator of q + -3 + (-230)/(-28) - 2 and 143/6?
42
Let v(a) = -6*a**2 - 114*a + 3. Let n(i) = i**2 + 2*i + 3. What is the smallest common multiple of n(-3) and v(-19)?
6
Suppose -5*k - 4*k = -5*k. Suppose 9*d - 2*d = k. Suppose 0 = -p + 4, d = 5*s - 2*s + p - 256. Calculate the lowest common multiple of 12 and s.
84
Suppose -m - 1389 = -5*j + 5399, -4036 = -3*j - 4*m. What is the least common multiple of 192 and j?
21696
Let t = 469/123 + -115503/30299. What is the common denominator of -173/42 and t?
31038
Let o = -1739/43 - 5/86. Let m(b) = -b + 1. Let p be m(5). Find the common denominator of o and p/50*670/(-8).
10
Let q(o) = 3*o + 177 - 6*o - 171. Let k be q(2). Find the common denominator of 18/7 and 116/(-18) - k/(-2).
63
Let w = -4037 - -4051. Calculate the smallest common multiple of w and 58.
406
Let o(x) be the second derivative of x**2 + 10/3*x**3 + 13*x + 0 + 1/6*x**4. What is the lowest common multiple of o(-10) and 10?
10
Let m = -141419/7 - -20197. Find the common denominator of 32/1393 and m.
1393
Suppose -4*h - 2*c = -36, 0*c = -4*h + 2*c + 44. Suppose -5*a = z + 81 + 41, -2*a - 58 = 5*z. Calculate the common denominator of 108/a*(-28)/h and -46/11.
55
Let u = 36777/27104 + 1/3872. Find the common denominator of 23/4900 and u.
4900
Let b be (-1309)/(-22)*(-351)/(-56)*-1. Let a = 367 + b. Calculate the common denominator of 25/16 and a.
16
Let g = -376 - -121. Suppose -o + 1 = 0, 0*o = -5*k + 3*o + 7. What is the common denominator of k/3*g/40 and 67/8?
8
Suppose -23*m + 1628 = -28. What is the smallest common multiple of (-4)/((2 - (-74)/(-36))*3) and m?
72
Suppose 0 = u + 4*x - 43, -2*u - 3*x = -x - 92. Let r = u - 38. Suppose 0 = -2*p + 3*w - 3, 4*p + 4*w - 3*w = 29. What is the least common multiple of p and r?
18
Let i = 199/109877 + -14452456217/2637048. Let u = i - -5482. Let d = 2399 + -71981/30. What is the common denominator of u and d?
120
Let q = 1318259/180 - 7323. What is the common denominator of -23/108 and q?
540
Suppose 565 = -5*c - 405. Let g = c - -195. Calculate the least common multiple of g and 66.
66
Suppose v = -4*t - 25, -111*t + 15 = -114*t - 2*v. Let q be -1 - -1 - 10*2. Find the common denominator of 64/15 and -1 - (26/q - t/14).
15
Let a = 404745 + -451695457/1116. Calculate the common denominator of a and 17/186.
1116
Suppose 0*l = l - 3. Suppose 134 - 198 = 8*i. Calculate the least common multiple of i/(-6 + 1*5/1) and l.
24
Suppose -5*i + 93 = 13. Suppose -1750 = -6*v + i*v. Find the common denominator of (-5)/(v/(-10)) + (-38)/(-28) and 13/12.
84
Suppose -5*r + 159 = 3*h, -2*h + 3*r - 225 = -236. Calculate the lowest common multiple of 44/6 + 2/3 and h.
56
Let u(w) = -w**2 + 11*w. Suppose 5*l - 15 = 2*t, -3*l = t + 146 - 155. Calculate the smallest common multiple of l and u(7).
84
Let y be 2 + 24/(-10) + (-410254)/(-60). Let c = -6852 + y. What is the common denominator of c and ((-4)/(-11))/(2/(-19))?
66
Let i be (0 + 2/(-4))*(-2720)/(-20). Let r = -64 - i. Suppose -32 = p - r. What is the common denominator of -59/2 and p?
2
Suppose -4*b + 68 = 2*w, 2*b - 18*w + 21*w - 30 = 0. Suppose 9 = 2*u + 5*n, 5*u + n + 3*n - 48 = 0. What is the least common multiple of b and u?
36
Let k be (-5 - -2)/(-6)*10. Suppose j = k*b - 2, -3*b - 6 = 3*j + 2*b. What is the lowest common multiple of ((-132)/(-77))/(j*(-3)/63) and 60?
180
Let r = 79/179 + 11251/30072. Calculate the common denominator of 53/183 and r.
10248
Let x = 3513 - 3486. Calculate the least common multiple of x and 30.
270
Calculate the common denominator of 6785/(-1518) + 16/(-44) and 145/1224.
1224
Let n = 200 - 627. Let k = n + 599. What is the lowest common multiple of 4 and k?
172
Suppose -114 = 8*r - 5*r. What is the common denominator of 89/6 + r + 28 and (63/(-10))/(-1) + 0?
30
Let z = 471/2 + -9447/40. Calculate the common denominator of z and (7 - 344/48)*66/(-4).
40
Let g = -645515/31634999 - -5/15889. What is the common denominator of g and -69/1810?
19910
Let z(p) = -p**2 - 9*p + 2. Suppose -3*j + c + 178 = 6*c, -c + 58 = j. Let x = 48 - j. What is the lowest common multiple of z(x) and 3?
30
Find the common denominator of ((-2)/4)/1 + 915/300 and 114/480 + -1 + 2.
80
Calculate the common denominator of 3 + -1 - (-170)/(-216) and (-12015)/(-14580) - (20/6 + (-3 - -1)).
108
Suppose 3*q + 4*b - 395 = 0, 15*q - 119 = 14*q + 5*b. Calculate the lowest common multiple of q and 327.
14061
Let h be (-33)/209*8/9. Let n = h - 1613/285. What is the common denominator of (28/(-60))/((-12)/(-190)) and n?
90
Suppose 0 = -8*o + 13*o - 2005. Let i = -235 + o. Let h = i + -3629/22. Calculate the common denominator of 95/2 and h.
22
Let l be (4 + 5)*63 + 5. What is the smallest common multiple of 49676/l + 1/13*2 and 6?
174
What is the common denominator of ((-2)/(-15))/(38/(-10)*828/2001) and -82/627?
3762
Let d = 288 + -290. What is the common denominator of ((-47)/3)/((-14)/(-6)) and -3*d/8 + (-189)/24?
56
What is the common denominator of 0 + 0 + 99/(-56) and (53/55 + -2)/(2589/(-4315))?
616
Let n = -17558/18447 + -10/559. Calculate the common denominator of n and 4/23.
759
Suppose -3 = 5*x - 13, 3*f - 38434 = 4*x. Let v = f + -204955/16. Find the common denominator of v and -93/22.
176
Let h(f) be the third derivative of -f**4/12 + 14*f**3/3 - 3*f**2 - 241. Let b = -1 - -6. Calculate the least common multiple of h(b) and 6.
18
Suppose 3*h - 99 = -0*h. Let c(w) = -22*w**2 + 445 + 21*w + 47*w**2 + 0*w**3 - 490 + w**3. Calculate the lowest common multiple of c(-24) and h.
297
Let o = -672 - -456. Find the common denominator of (-15)/24*(-94)/20 and (-2007)/o + -9 + 0.
48
Calculate the common denominator of (-3)/50*(-25)/10*(-545)/54 and 411*3/486 + -1.
216
What is the common denominator of (-63)/(-35)*(-147)/63 and 2*-1*(-9)/330?
55
Calculate the common denominator of (-43)/((-10965)/(-34)) + (-12)/(-865) and -13/33.
5709
Let m = 145 - 149. What is the lowest common multiple of ((-6)/7)/((-2)/42) and (4/10)/(m/(-460))?
414
Let r = -14 - -18. Let i = r + -6. Calculate the common denominator of (-106)/(-44)*(-3 - i) and 107/12.
132
Suppose -18*k - 950 = -12*k - 11*k. What is the least common multiple of k and 76?
380
Calculate the common denominator of ((-153006)/16982 - -12) + -3 and -7/6.
7278
What is the common denominator of (1/(-210))/(267/(-39605)) and 29/63?
126
Let p(x) = 547*x - 518*x + 2 + 13. Let r be p(-3). Calculate the least common multiple of 2 and (-5)/(-30)*-3*r.
36
Let i = -3379892/5723655 - -2/54511. What is the common denominator of i and ((-9)/27)/(200/1404)?
1050
Let k = 213613/204 - 3143/3. What is the common denominator of k and -15/536?
9112
Suppose 14*g = -16*g - 59*g + 2136. What is the lowest common multiple of g and 228?
456
Let a = 1273 - 14027/11. Let r = -9510/13 + 1465671/2002. What is the common denominator of a and r?
154
Suppose 6*y + 73 = 721. Suppose -3*c + y = -7*c. What is the common denominator of 20/9 and (2394/(-60))/((-4)/((-12)/c))?
90
What is the least common multiple 