 What is the smallest common multiple of q(-4) and c(r)?
7
Suppose -n + 6 = -4*g, 3*n = -g + 27 + 4. What is the common denominator of 59/8 and (-147)/n*((-111)/117 + 1)?
520
Let p(m) = m**3 + 20*m**2 - 16*m + 2. What is the lowest common multiple of 92 and p(3)?
644
Suppose 3182*t = 3179*t - 2*q + 168, 3*t + q - 168 = 0. Calculate the smallest common multiple of t and 2618.
10472
Calculate the common denominator of 150/(-16)*(-588)/(-18620) and 63/32.
608
Let l = -162 + 96. What is the common denominator of -64/15 and 1286/l - (-22)/(-121)?
15
Let c(m) be the first derivative of m**2/2 - 41*m - 32. What is the common denominator of c(-6) and -35/3?
3
Let u(p) = -12*p**3 + 2*p**2 + p - 2. What is the lowest common multiple of u(-2) and ((-24)/(-20))/((-16)/(14400/(-27)))?
200
Find the common denominator of (-18494)/960 - (1 + -20) and -133/1440.
1440
What is the common denominator of 53/132 and (-445)/(-9078)*42/22?
2244
Let r = -17/81 - 7807/1782. Calculate the common denominator of r and 59/2078.
22858
Suppose 2*v - 15 = -2*v + 5*c, c - 26 = -5*v. What is the common denominator of v + -1 - 8/(576/570) and 17/72?
72
Let v = -90901/10 + 9100. Let b = -14975 + 643955/43. Find the common denominator of b and v.
430
Let y(q) = -700*q - 1370. Calculate the lowest common multiple of 120 and y(-2).
120
What is the least common multiple of 23 and (-99)/(-22)*230/15?
69
Let i = 67 + -27. What is the least common multiple of 48129/610 + -79 - (-333)/30 and i?
440
Let w(f) = 13*f**2 + 122*f + 49. What is the smallest common multiple of w(-9) and 256?
256
What is the common denominator of ((-2958)/1095)/((-32)/24) + (-2)/1 and 17/6?
2190
Calculate the common denominator of -18/737 and (219/24)/(1407/(-68)) - (-414)/1242.
10318
Let d be (0 + (-27)/9)*(-14)/3. Suppose d*w = -2*o + 9*w + 40, -3*o + 50 = 5*w. Calculate the least common multiple of 65 and o.
130
Let a = 112/323 - 9927/1615. What is the common denominator of a and 27/170?
170
What is the common denominator of 5/(5/(-4)) + ((-53599)/456)/(-13) and -35/387?
3096
Let h(f) = f**3 - 3*f**2 + 6*f - 3. Let o be h(4). Let l = -24 + o. Let a = l - 8. What is the least common multiple of a and 28?
140
Let m(x) = -x**3 - 17*x**2 + 15*x - 18. Suppose -76 = -9*o - 238. What is the lowest common multiple of 8 and m(o)?
72
Find the common denominator of -11 - (-52496)/2975 - (7 + 0) and 73/200.
1400
Let o = -2 - -8. Let f be 4446/(-52) - o/(-4). Calculate the common denominator of -8*(-3)/42 - (-1994)/f and -133/12.
12
Calculate the common denominator of (-8625)/5855 - 30/(-20) and 5/6.
7026
Let i(d) = d**3 + 28*d**2 + 90*d - 88. What is the least common multiple of i(-24) and 236?
3304
Let s = -13870 - -13892. Calculate the smallest common multiple of 2538 and s.
27918
Suppose 77 = c - 22. Let h = c - 91. Calculate the common denominator of ((-392)/12 + 3)/h and -119/24.
24
Suppose -440*s - 11557 = -443*s + 1304. Calculate the lowest common multiple of 21 and s.
30009
Let x = -29499751/1593 - -55555/3. Calculate the common denominator of -25/297 and x.
17523
Let z = -510 - -511. What is the common denominator of 1/26 and (7009/489)/((-46)/(-6) + z)?
26
Let n be -5 - ((-376)/12 + 2/(-3)). Suppose -23*r - 4*g - 308 = -n*r, -r = g - 87. Calculate the smallest common multiple of r and 18.
738
Suppose 6 = 2*i, -4*i = -3*f - 0*i + 12. Suppose f = 2*d, -4*a - 4*d + 8 = -56. Calculate the least common multiple of a and 2.
12
Let p(y) = 2*y**2 - 134*y - 1350. What is the lowest common multiple of -44*3/(-6)*1 and p(76)?
198
Suppose 0*z - 2*z + 46 = 5*i, -5*z = -15. Let l = 191 - 173. Let v(j) = -j**3 + 20*j**2 - 36*j + 18. Calculate the smallest common multiple of v(l) and i.
72
Suppose -101*p = -98*p - 1359 - 2007. What is the lowest common multiple of 510 and p?
5610
Suppose 2*o = 6*o - 112. Let j = 43 - o. Calculate the smallest common multiple of (1 + (-10)/30)*45 and j.
30
Find the common denominator of 64/(-1584)*(1 - 917/(-112)) and 193/510.
11220
What is the smallest common multiple of 336 and 542 + (-27 - (-9 - 4))?
3696
Suppose 2*a + z = 2 + 1, 2*z = -2*a. Let q be a*1 + 11637/(-18). Let v = -612 - q. Find the common denominator of v and -71/10.
10
Let b(k) = k**2 - 5*k + 6. Suppose 0 = 3*g + 3, -53*g = -o - 57*g - 1. What is the lowest common multiple of (-3)/(6/(-24)*o) and b(4)?
4
Let c = 78196463/370 + -211342. Find the common denominator of c and -37/40.
1480
Let p = 48 - 38. Suppose -19*b = 23*b - 25021 - 52007. What is the least common multiple of b and p?
9170
Let v be 31100/(-15)*((-78)/(-4))/(-13). Let l = v + -136833/44. Find the common denominator of l and 5/132.
132
Let o = -2534173571/2800 + 905062. Calculate the common denominator of o and -59/80.
2800
Let b = 911/6 + -3341/24. What is the common denominator of 17/((-100)/15*28/(-70)) and b?
8
Let o(k) = 2*k**2 - 3*k - 8. Suppose -2*r = -12, -3*f + 32*r = 28*r - 291. What is the least common multiple of o(5) and f?
945
Let x = 445774 - 181875635/408. What is the common denominator of x and -29/136?
408
Suppose 4*q + 326 = 350. Suppose 12 = -3*u, 280 + q = 2*k - 3*u. What is the least common multiple of 10 and k?
1370
Suppose -21*z + 460385 = 86900. Let u = 5104339/287 - z. What is the common denominator of -143/6 and u?
1722
Suppose 0 = -20*d - 1214 - 366. Let r = d + 78. What is the smallest common multiple of 9 and (6 - (-13 - -5)) + (r - 1)?
36
Let m = 44/9 + 215/18. Let z be (-24)/577*(-38528)/1260. Let t = -3/577 + z. What is the common denominator of m and t?
30
Let k be 5/11484*7166 - -1. Let i = 56/319 - k. Find the common denominator of 11/50 and i.
450
Find the common denominator of -1/4 and 939/(-585) - 7/70.
156
Let z(j) = -2*j**2 - 45*j + 8. Let w be z(-23). Let a be (w/4)/((-12)/48). What is the common denominator of 71/14 and 2289/720 - (-2)/a?
112
Suppose -54*u + 47*u = -140. Calculate the least common multiple of (1 + (-13)/3)*48/(-4) and u.
40
Let m(z) = z**3 + 61*z**2 + 518*z - 338. Suppose -u - 2*u = -4*n - 316, 0 = -3*u - n + 341. What is the smallest common multiple of m(-11) and u?
112
Let f(l) = l**3 + l**2 + 3*l - 8. Let y be f(2). Find the common denominator of 11/4 and (-94)/180 + y/(-90).
60
Let f = 172081/25 + -6881. Let q = 4 - 6. Find the common denominator of (-2538)/252*q/3 and f.
175
Let y = 44662 - 1607971/36. Calculate the common denominator of 5/832 and y.
7488
Calculate the lowest common multiple of 16 and (7/(-14))/((-7)/14) - -19.
80
Suppose 0 = -25*l - 1996 + 9346. What is the lowest common multiple of l and 196?
588
Let o = -36601/220 + 1769/11. Suppose 6*f = 6*k + 2*f - 214, 0 = 5*f + 5. Find the common denominator of 259/k - 7 - 124/(-120) and o.
60
Let o(u) = u**2 + 10*u + 268. Calculate the smallest common multiple of o(-29) and 819.
819
Let z(a) = -523*a - 199. Let i be z(23). Let k = -293369/24 - i. What is the common denominator of k and -67/267?
2136
Suppose -4*h + 88 = -5*p - 8, -2*p = -8. Suppose h*s - 35 = 24*s. Let q = 52 - 20. Calculate the least common multiple of s and q.
224
What is the common denominator of -74/11235 and 8 - ((-300)/(-720))/(30/508)?
67410
Let o = 1657/88 + -302/11. Suppose 234*p - 1755 = 299*p. What is the common denominator of o and p?
8
Let f = -91342 - -22652905/248. What is the common denominator of f and 725/(-10)*(-6)/36?
744
Find the common denominator of 3/104 and (-3 + 1035/350)/((-96)/(-984)).
3640
Suppose -n + 5 = 0, 2*o + 0*o - 5*n + 35 = 0. What is the common denominator of (o/(-25))/((-5)/(1075/22)) and -83/40?
440
Let y = 60 - 19. Let o(k) = -k**2 + 13*k + 46. Let v be o(-3). Calculate the common denominator of ((-110)/(-600)*v)/(1/(-3)) and y.
10
Let n be -33*((-2)/(-14) - 11/(-21)). What is the common denominator of 6/n*(320/(-36))/8 and -14/9?
99
Suppose 13*f + 57*f = 18*f + 91104. Calculate the least common multiple of 2 and f.
1752
Let i = 1341906025/98298 + -100/5461. Let o = -13647 + i. What is the common denominator of o and 79/860?
7740
Let f(v) = -v**3 - 74*v**2 + 380*v - 873. What is the smallest common multiple of 364 and f(-79)?
2184
Let y = -113231/70416 - -17/4401. What is the common denominator of (0 - (-42)/(-32)) + 0 and y?
48
Let f be ((-22328206)/(-60) + -3)*(-9)/126. Let z = 26582 + f. Find the common denominator of z and -77