.
2628
Suppose 5*g - 12 - 18 = 0. Suppose 7*v = -2*v + 549. Suppose -n + 85 = -6*z + 10*z, -v = -3*z + 2*n. What is the lowest common multiple of g and z?
42
Suppose 3*h + j = 104, 2*j - 81 + 137 = 2*h. Let l(s) = s**2 + 9*s + 2. What is the smallest common multiple of l(-10) and h?
132
Suppose 5*w - 27*m + 32*m - 30 = 0, 0 = -4*w - 3*m + 26. Calculate the smallest common multiple of w and 2289.
18312
What is the least common multiple of 180 and 280 + (-13 - -22 - 5)?
12780
Let h be -4 - (-4 - 5 - 0). Suppose 5*n + 38 = 3*s, 3 = s + h*n - 3. What is the common denominator of ((-3102)/36)/s - -1 and -37/33?
66
Calculate the common denominator of -31/208 and (-12)/(-2) - 1/(1800/11133*1).
5200
Suppose -y - 220 = -216, 0 = 2*j + 5*y - 100. Calculate the smallest common multiple of 5484 and j.
27420
Suppose 14*k - 24 = 18. Suppose -5*l = -k*a + 4*a - 17, -5*a = 2*l - 39. What is the least common multiple of 25 and a?
175
Let w(v) = -532*v - 36. Let t be w(-19). Let s be 3/18 - 483197/48. Let a = s + t. What is the common denominator of -53/26 and a?
208
Let b be -24*((-14)/(-42))/((-4)/6). Calculate the common denominator of 1592/288 - 2/(-8) and -4*(6/18 + 58/b).
9
Let v = 437 + -317. Calculate the least common multiple of v and 5/(-20) + 434/8.
1080
Let r be (1 + -2)/((-3)/6). Suppose -9*k + 350 = -r*k. Calculate the least common multiple of 55 and k.
550
Let x(c) = -c**3 - 15*c**2 + 26*c - 134. What is the lowest common multiple of x(-19) and 16?
816
Suppose -4*o + 3*g + 240 = 0, -149*o = -154*o - 5*g + 265. Calculate the lowest common multiple of o and 171.
171
Let p = 130367/84 + -9325/6. Find the common denominator of (-335)/240 + 1/4 and p.
336
Let i = 23675 + -23620. Calculate the smallest common multiple of 595 and i.
6545
Let y = -1/210 - 3307/105. Calculate the common denominator of 67/(-27) - 26/117 - -1 and y.
54
Let g(z) = 50*z**2 + 4. Suppose 5933 = 5*u + 5893. Calculate the least common multiple of g(3) and u.
1816
Let v(f) = 10*f - 68. Let q(d) = 28*d - 203. Let y(s) = 4*q(s) - 11*v(s). What is the least common multiple of y(33) and 1?
2
Let x = 1/3231 - 22849/749592. What is the common denominator of -23/145 and x?
1160
Suppose -133*x = -125*x + 4560. What is the common denominator of ((-2)/(-696))/(3/x) and -101/2?
174
Let i(k) = -k + 1. Let m(w) = -8*w + 15. Let x(s) = -36*i(s) + 4*m(s). What is the smallest common multiple of 18 and x(0)?
72
Let c = 955786/2003 + -4556903453/9698526. Let a be 6/(1 + 266/3). Let k = c + a. Find the common denominator of 61/22 and k.
198
Let d(a) = -211*a + 3791. What is the least common multiple of d(13) and 917?
7336
Let u = -24457 + 24464. Suppose 5*h = 2*h + 2316. What is the lowest common multiple of h and u?
5404
Let g(y) = 141*y - 36627. What is the lowest common multiple of g(260) and 3/12 + (-107)/(-4)?
297
Let l = -5370 + 64553/12. Calculate the common denominator of -5/672 and l.
672
Let y = 85782457/962 + -89171. What is the common denominator of -97/104 and y?
3848
Let s = -1536 - -2854. Let p be (-5386)/8*4/2. Let a = s + p. Find the common denominator of a and 37/11.
22
Let c(m) = -m**3 + 15*m**2 + 43*m - 18. Let s(p) = p + 13. Let r be s(4). Let d be c(r). Calculate the common denominator of (7/(-12))/(25/d) and 113/18.
180
Let o = -6106 + 567859/93. Find the common denominator of 43/90 and o.
2790
Let w = 98 + -93. Find the common denominator of -103/40 and (741/(-65))/((-8)/w).
40
What is the common denominator of -29/17592 and (-63 - -28)/(12 + 6)?
52776
Let x = -36653 + 28479401/777. Calculate the common denominator of -1/111 and x.
777
Suppose 0 = -3*d + 12, 174*p = 169*p - 2*d + 13. What is the least common multiple of p and 104?
104
Calculate the common denominator of (-15*(-88)/(-36))/(305/(-122)) and (-2)/2 - 17/10.
30
Let a = 26939/18 - 1496. Calculate the common denominator of a and -56/159.
954
Suppose -48 + 0 = -24*q. Suppose -q*s - 170 = n - 4*n, -4*n + 222 = -5*s. What is the smallest common multiple of n and 9?
522
Suppose -803*i = -757*i - 89976. Calculate the smallest common multiple of i and 489.
1956
Let v = -55 - -58. Let z(t) = 6*t**2 - 7. Calculate the lowest common multiple of 7 and z(v).
329
Suppose 47 = -5*v + 67. Let z(a) = -a**3 - 20*a**2 - 20*a - 3. What is the least common multiple of v and z(-19)?
16
Let g(o) = 3*o**2 - 38*o + 27. Let y be g(9). What is the smallest common multiple of 52 and 9/((-38)/y + (-10)/(-45))?
156
Calculate the common denominator of -1 - -18*(-26)/(-40) and (4208/(-272) - -6) + 1 + 9.
170
Let x = 45 + -39. Suppose -x*s - 20 + 338 = 0. Let r = -40 + s. What is the smallest common multiple of r and 8?
104
Let o(y) be the third derivative of -y**5/30 + y**4/2 - 5*y**3/3 - 11*y**2. Let q be o(6). Let z = 14 + q. What is the smallest common multiple of z and 16?
16
Suppose -54 = -4*y + x + 352, 0 = -5*y + 2*x + 506. Let f = -58 + y. What is the least common multiple of f and 16?
176
Find the common denominator of 14 - -6 - 217140/10976 and 23/448.
3136
Calculate the lowest common multiple of 91/(-78)*-8*198/21 and 184.
2024
Let v(i) = -28*i + 22. Let w be v(4). Let u be (w/4)/(13/(-26)). What is the common denominator of 32 and (-709)/(-72) - 10/u?
8
Let x = -5563362810 + 317445481924879/57060. Let v = -64398075/317 - -203149. Let l = v - x. Find the common denominator of -70/9 and l.
180
Let j(d) = d**2 + 2*d - 11. Let t be j(4). Suppose -g + 11 = 4*n, -g + 3*n + t = -6*g. Calculate the common denominator of -3 - 285/200 - (3 + g) and -5/16.
80
Find the common denominator of 18 + (6 - 65718/2736) and 47/38.
152
Suppose 0 = 32*s - 8*s - 24. Calculate the common denominator of (s + 106/10)/(-20) and 53/70.
350
Let q = -42/631 - 313357/22716. Let v = 27/4 + q. Calculate the common denominator of v and -43/12.
36
Let l = -332 + 362. Find the common denominator of 101/12 and (l/975)/(32/(-2060)).
156
Let d(i) = i**3 - 7*i - 3. Let n be d(4). Suppose h - n = -6*b + 2*b, 3*b - 42 = 5*h. Suppose 8*y + y - b = 0. What is the least common multiple of y and 57?
57
Suppose -219*c = -l - 221*c + 64, -4*l - 2*c = -208. Calculate the lowest common multiple of l and 2584.
15504
Let j(t) = 13 + 5*t + 0*t - 3*t - t. Let h be j(-5). Calculate the least common multiple of (-70)/(-8) - ((-18)/h - -2) and 2.
18
Suppose -5*l - 3 - 67 = 5*y, 0 = -3*l + 5*y - 42. Find the common denominator of ((-20)/l)/(12/77) and 131/6.
6
Let b = -193683719/1442 - -134316. What is the common denominator of b and -76/309?
4326
Let k = -543/40 - -188/15. Calculate the common denominator of k and -161/312.
312
Let v = 163 - 158. Suppose v*x - 49 = 51. Calculate the least common multiple of 6 and x.
60
Suppose 1352 + 1072 = 101*c. What is the least common multiple of 1360 and c?
4080
Suppose 7*f - 3*f + 5*u - 511362 = 0, -3*u = 6. Let g = -12272803/96 + f. Calculate the common denominator of g and -127/24.
96
Let i(s) = -46*s - 383. Let p be i(-8). Find the common denominator of 90/8*2/4 and (1998/(-180) - -9)/((-2)/p).
8
Let j(h) = 15*h**2 + 4*h - 10. Let a be j(-5). Find the common denominator of (-63)/(-10) + 2/(-5) and 1/((-2)/8) + a/150.
10
Suppose k + 4*r - 208 = 0, 3*k - 2*k - 5*r = 190. Suppose f + f = -k. Find the common denominator of -21/11 and (-370)/(-8)*8/f.
110
Let g = -2/61583 + -1414843/48219489. What is the common denominator of g and -23/12?
3132
Suppose -573 = -47*h + 555. What is the least common multiple of h and 444?
888
Suppose 8*c - 157 = -10*c + 761. What is the smallest common multiple of 4053 and c?
68901
What is the common denominator of 107/850 and (-5)/3 + 2 + 25724/48144?
1700
What is the common denominator of (-622)/(-840) - (-495)/(-660) and -74/135?
945
Let c = 313974821/528 + -594649. Calculate the common denominator of -93/154 and c.
3696
Let h = -14425/1998 - 5/1998. Find the common denominator of h and -89/5910.
17730
Let t(m) = -6*m + 1. Let j be t(1). Find the common denominator of (-33 - -105) + -68 + (-70)/24 and 33/3*1/j.
60
Let a = 1302265/314676 - -4/8741. Find the common denominator of 43/81 and a.
324
Let y = -505459/18 - -28088. What is the common denominator of 5 - 6 - (-266)/44 and y?
198
Find the common denominator of -29/3 and (-2)/10*1 + -36*(-1746)/172080.
1434
Let d = 2227/207 + -250/23. What is the common denom