4260
Let d = 205 - 197. Let v(b) = b**3 - 4*b - 71. Let q be v(0). Let f = -67 - q. What is the smallest common multiple of d and f?
8
Let l be 7866/(-78) - (-2)/(-13). Let x = l + 102. Suppose -4*m + 10*m - 12 = 0. What is the least common multiple of x and m?
2
Suppose 2*a = -14754 + 52042. Let f be (-1230650)/66 - (5 - 8 - 1). Let v = f + a. Calculate the common denominator of -20/21 and v.
231
Let s = -57954 - -57958. Suppose 108 = c - 60. What is the smallest common multiple of c and s?
168
Find the common denominator of (1197/324)/(-19) - 0 and -39/164.
1476
Let g be ((-3)/(-304))/(-8 + 11). Let f = g + -3193/304. What is the common denominator of f and 32/11?
22
Let y = 93922 - 144204. Let f = y - -3016993/60. Find the common denominator of -131/132 and f.
660
Calculate the common denominator of (80/25)/(220/100) and (113*1)/((-12)/2).
66
Let x = -106266705116/111 - -957344408. Let t = 13296 + x. Find the common denominator of -59/18 and t.
666
Suppose 2*k + 28 = 38, 0 = 4*q - 5*k - 155. Calculate the lowest common multiple of q and 495.
495
Let s be -6*(952/196)/(6/(-14)). Suppose -5*h + s = -3*v, 32 = h + 13*v - 9*v. What is the smallest common multiple of h and 18?
144
Let d(a) = a**3 - 13*a**2 - 2*a - 36. Let n(i) = i**3 - 14*i**2 - 2*i - 35. Let t(r) = 5*d(r) - 4*n(r). Calculate the least common multiple of t(10) and 36.
360
Let k = 429 - 407. Suppose 2*v = 31*q - 36*q - 5, 2*q = 4*v + k. Calculate the lowest common multiple of q and 9.
9
Suppose -p - z = -6*p - 76, -5*z = 5*p + 70. Find the common denominator of ((-10)/20 - 0)/((-8)/(-46)) and (-282)/p + (-4)/(-20).
8
Calculate the common denominator of ((-3)/20)/((-10542)/(-89356)) and 111/2660.
2660
Let c = 169721/4719015 - 37/1055. Find the common denominator of c and -5/18.
8946
Let w(s) = -2*s + 251. Let g be w(35). Suppose 647 = 46*v - g. Calculate the smallest common multiple of v and 18.
18
Let p = 740361/560 - 9249/7. Find the common denominator of -37/56 and p.
560
Let o(n) = -n**3 + n**2 + 2*n + 6. Let p be o(3). What is the least common multiple of (180/33)/((-10)/(-55)) and (-1 - -2)/(p/(-216))?
180
Suppose 5*x + 4*p = 1030, -9*x + 6*x - 3*p + 615 = 0. Find the common denominator of 34/47 and (-2)/(-6) + (-637)/x + -1.
470
Let k = 2146 - 2026. Calculate the least common multiple of 10 and k.
120
Let m(z) = -53*z + 4214. Calculate the smallest common multiple of m(78) and 92.
1840
Let a(h) = -31271*h**3 - 4*h**2 + 3*h + 1. Let x be a(1). Let b = x - -1000581/32. Calculate the common denominator of b and -103/10.
160
What is the common denominator of 9/28 and ((-6)/(-56)*-2)/6?
28
Let p = 853 - 353. Calculate the lowest common multiple of 80 and p.
2000
Let b = 9761 + -8221. What is the least common multiple of b and 176?
6160
Suppose -2*g = 3*d - 1, -5*d = -6*g + 2*g - 9. Let c be 11/6 + 6/36. Calculate the least common multiple of 60 and c + (1 - d) - -14.
240
Let b = -32/737 - 74953/56012. What is the common denominator of b and 17/56?
1064
Let y be ((-138)/18)/((-4)/24). Suppose -5*o = -34 - y. Calculate the smallest common multiple of 9 and o.
144
Let u be (2949/129 + -4)*2. Let n = -169137/4558 + u. What is the common denominator of 23/18 and n?
954
Let t = -9754103/9240 + 7389/7. Calculate the common denominator of 107/1210 and t.
14520
Let a = -1596/3785 + 142709/290688. Calculate the common denominator of a and -1/36.
5760
Let w(q) = -3*q - 58. Let t(x) = -3*x - 59. Let m(n) = 5*t(n) - 4*w(n). Calculate the smallest common multiple of m(-22) and 262.
786
Let m = 286 + -289. Let h(c) = -35*c - 17. What is the smallest common multiple of 110 and h(m)?
440
Let u = 20899793/6 + -3475326. Let r = u - 7991. Find the common denominator of 5/((-18)/(-26) + 0) and r.
18
What is the common denominator of (-4)/((-36432)/(-22562)) + (10 - (-75)/(-10)) and -18/11?
2277
Suppose 253 = 3*n + 2*n + 3*u, u - 1 = 0. Suppose -23*c = -28*c + n. What is the smallest common multiple of c and 74?
370
Suppose 0 = -u, 6 = -3*l + 4*u - 3. Let d = -11 - 225. What is the common denominator of -101/16 and 3 + l + -2 - 461/d?
944
Calculate the common denominator of (924/104 - 9)/(3/49) and (1644/(-80))/(-3) + -4.
260
Let n(v) = 12*v**2 + 5*v - 1. Let t be n(4). Let h = 305 - t. Suppose 0 = 3*p - 114 + 48. Calculate the lowest common multiple of h and p.
1034
Let h(c) = -c - 11. Let p be h(-8). Calculate the common denominator of ((-5)/p)/(28/(-120)) and (-15 + 31)/16*(-104)/(-14).
7
Let q = -403498/21 + 19215. Find the common denominator of -67/44 and q.
924
Let b = -9397 - -12583. What is the smallest common multiple of b and 3540?
31860
Suppose 5*j + y = 126, -2*j + 5*y + 514 = 469. What is the least common multiple of j and 32 + 2*(-9)/(-6)?
175
Let o = -1301456722/2031 - -640796. Calculate the common denominator of -47/24 and o.
16248
Suppose 5*w + 77 - 117 = 0. Suppose -32*k + w = -31*k. What is the least common multiple of 10 and k?
40
Suppose 13*m = 8*m + 240. Let y(k) = -4*k + 202. Let v(b) = -4*b + 1. What is the least common multiple of v(-3) and y(m)?
130
Suppose -3*c + 2 = -5*m - 9, -4*m = 4. Let a(p) = 3*p - 3. What is the smallest common multiple of a(c) and 30?
30
Find the common denominator of 67/2618 and ((-58)/(-145))/((-11704)/(-893)).
26180
Let t(n) = -6*n**3 + 3*n**2 - n - 5. Let l be t(-4). Suppose -l = -8*b + 169. Calculate the least common multiple of 30 and b.
150
Let v = -2162001/535724 + -1/19133. Calculate the common denominator of 83/812 and v.
812
Calculate the common denominator of -37/78 and (-7 + (-4)/12)*9/84.
546
Let t be (-746)/(-56) - 9/3. Let s = 1009/84 - t. Calculate the common denominator of s and 83/21.
42
Suppose 6*i = 5*i + 30. Suppose -i = 3*q - 6*q. Suppose q*t - 15*t = -110. Calculate the smallest common multiple of 22 and t.
22
Let a(n) = n**2 - 17*n + 58. Let w be a(12). What is the common denominator of (-2 - -4) + (-71)/(-20) and (-3045)/(-600) - (w + 1)/8?
20
Let k be (-1143)/((-15)/(-70) + 0). Let j be 8/(-2) + k/1. Let u = j - -42801/8. What is the common denominator of -113/10 and u?
40
Suppose 6*r - 7*r = 45. Let u = -36 - r. Suppose 0 = 3*s - 0 - u. What is the smallest common multiple of 11 and s?
33
Let i = -5 + 30. What is the least common multiple of i and 23560/88350 + -2*(-821)/30?
275
Let r(a) = -a**3 + 7*a**2 - 3*a. Let q(j) = -56*j**3 - 2*j**2 + 2. Let t be q(-1). Let w = t - 42. Calculate the least common multiple of w and r(6).
126
Let y be 501/(-15) - 8/(-20). Find the common denominator of 43/56 and 2*3*(y/9 - -3).
56
Let t(x) = -x**2 - 25*x + 602. What is the least common multiple of t(-35) and 90?
1260
Suppose -14*p + 40 = -18*p. Find the common denominator of (18/84*-2)/(p/(-7)) and -17/28.
140
Let f be (0 - 0)/(1 + 2). Let o = f - -8. Calculate the smallest common multiple of (5/35*-6)/((-3)/105) and o.
120
Let l be (-2)/((-12)/(-9)) - (-2611154920881729)/(-177030). Let g = l + 14749787728. Let d = g + -8/843. What is the common denominator of 109/10 and d?
70
Let v = -121 - -171. Let z = 691 - 687. What is the lowest common multiple of z and v?
100
Suppose -10*b + 23*b = 2665. Let t = 249 - b. What is the smallest common multiple of t and 18?
396
Let i = -17817/13 - -14963927/10920. Calculate the common denominator of i and -143/588.
5880
Suppose -2*c = -3*x + 4*x - 6740, 3*x - 20214 = -3*c. Let t = -2332919/176 - -219834/11. Let d = x - t. Calculate the common denominator of d and -33/20.
80
Suppose -4*w + 12 = 3*t, w + 2*w = -3*t + 9. Suppose -2*n - 1094 = 2*p + n, 4*p - n + 2216 = t. Find the common denominator of p/(-1260) - (-1)/4 and 8.
45
Suppose -39 = 93*m - 106*m. Suppose 4*t = -2*x + 14, 2*t = m*t + 4*x - 7. Calculate the smallest common multiple of 17 and t.
51
Let v = -916903943 - -3451226393469/3764. Let y = -3/2092 - 1361/1968572. Let g = v + y. Calculate the common denominator of 47/12 and g.
12
Let a(i) be the second derivative of i**3/3 + 15*i**2 + 33*i. Let b = 64 + -46. What is the lowest common multiple of a(-12) and b?
18
Let h(f) be the third derivative of 4*f**5/15 + 5*f**4/24 + 2*f**3/3 + 11*f**2. What is the lowest common multiple of h(-1) and 81?
405
Find the common denominator of -101/76 and (-100)/400 - 1029/(-2640).
16720
Let k(w) = 3*w**3 - 2*w**2 + w. What is the lowest common multi