c = a + 23*c - 17. Calculate the smallest common multiple of 21 and a.
21
Let h(u) = -u**2 - 24*u - 114. Let i be h(-8). Suppose 3*l - 11 = 19*m - i*m, 8 = 2*l - 3*m. Calculate the smallest common multiple of 3 and l.
21
What is the common denominator of -71/66 and (41 + (-114359)/2790)/((-256)/(-942))?
42240
Suppose 0 = -2*a - 3*w + 57, 2*w - 26 = -a - 0*a. Let g(z) = z**3 + 15*z**2 + 4. Calculate the lowest common multiple of g(-15) and a.
36
Calculate the common denominator of 131/4902 and 5/(-1540)*766 - (-25)/140*4.
53922
Suppose -14*r = -11*r + 7224. Let n = r + 7286/3. What is the common denominator of n and -17/13?
39
Suppose -72*s = -73*s + 7. Suppose 3*z = 8 + 49. What is the least common multiple of 22 and (z - s)*(1 + 0)?
132
Suppose 9*o - 610 - 362 = 0. Suppose 56*z + o = 65*z. What is the smallest common multiple of z and 20?
60
Suppose -190 = -19*k + 874. Calculate the common denominator of (3/k)/((-20)/(-49)) and -27/40.
160
Find the common denominator of 2/(-4) + (-2)/26 and ((7203/(-105) - -8)/(3/(-5)))/(-6).
78
What is the common denominator of ((-2)/(-4) - (-2)/(-6))/((-2156)/(-160622)) and (-61)/8*16/20?
60
What is the common denominator of (-2 + 5/4)*44/(-4158)*749 and 81/11138?
100242
Let w = 4916874/35 + -140481. Let g = -167239/25 + 6691. Calculate the common denominator of g and w.
175
Let c = 1758633/56 + -31405. What is the common denominator of c and -29/7?
56
Suppose 5*b + 4*b + 170352 = 0. Let l be -1 + 9463*(-2)/b. Let o = l + 477947/141960. Calculate the common denominator of o and 43/27.
270
Let q = 105947 + -24473797/231. Find the common denominator of -83/198 and q.
1386
Let f(q) = q**3 - 3*q**2 + 2*q + 1. Let d be f(2). Let o = -9 - -44. Calculate the common denominator of o and ((-23)/16 + d)/((-5)/(-10)).
8
Let i be (-296)/10 + 2/(-5). Let b(t) = 3*t + 102. Calculate the least common multiple of b(i) and 16.
48
Suppose 4*v = 9*g - 4*g + 107, 89 = 3*v + 5*g. Calculate the smallest common multiple of 18 and (-1254)/(-10) - v/20.
1116
Let x be ((-74)/8)/((-2)/607). Let q = x + -2814. Find the common denominator of (-22)/35*-1 + -1 + 36/20 and q.
56
Let o be (196/(-204))/(-4 - -5). Let c = 331/1938 - o. What is the common denominator of -37 and c?
38
Let z = -14 + 15. Let c(l) = -6*l**2 - l + 1. Let o be c(z). Calculate the common denominator of 101/4 and ((-159)/4)/(0 + o).
8
Let a = -269 - -266. What is the common denominator of (a + ((-69)/21)/(-1))/(-7) and 29/21?
147
Suppose 20157 = 13*g + 17*g - 8733. What is the lowest common multiple of 33 and g?
10593
Let h(z) = -z**3 - 16*z**2 - 37*z + 28. Calculate the smallest common multiple of 138 and h(-13).
138
Suppose -m = -4*z + 6*z + 41, -3*z = 5*m + 226. Let h = 57 + m. Calculate the least common multiple of h and 17.
170
Let g(c) = -c**2 - 6*c - 9. Let u be g(-4). Let q be (u + -5)/((-13)/(-130)). Calculate the smallest common multiple of (-216)/(-10) + (-24)/q and 80.
880
Let o be -5 - (-145611)/45*(-4)/14408. Let z = -3/1801 + o. Calculate the common denominator of z and -109/366.
1830
Let k(l) = 3*l + 5. Let j be k(0). Suppose j*f + 440 = f - t, 0 = 3*t. Calculate the lowest common multiple of (-1)/(3/2) - f/66 and 17.
17
Suppose 1 = -2*u + 73. Let f(h) = h + 3. What is the smallest common multiple of u and f(1)?
36
Let g(f) = -617*f - 6703. What is the smallest common multiple of g(-11) and 1232?
3696
Find the common denominator of 24/533 and (-461)/246 + 15/(-30)*-4.
3198
Let t(i) = 81*i**2 - 3*i + 20. Let o be t(3). Find the common denominator of ((-6)/210)/(6 + (-4452)/o) and 1/3 + (-124)/42.
21
Suppose 2759 + 1798 + 483 = 28*z. Calculate the least common multiple of 234 and z.
2340
Let d(g) = 17*g**2 - 70*g - 10. Let s be d(4). What is the least common multiple of (s + 2)*(-21)/84 and 44?
44
Let k = 7673 - 7667. What is the least common multiple of k and ((-3)/(-4))/((-2)/(-8))?
6
Let r = -2543/8 - -86399/272. Find the common denominator of r and -109/170.
1360
Suppose -5*n - 2*o = -8*n + 22, -4*n = -o - 26. Find the common denominator of -145/36 and (-4)/n - (-5 + 20/36).
36
Suppose -4*q - 41 = 2*h - 1227, 0 = -2*q + 5*h + 635. What is the smallest common multiple of q and 330?
3300
Let x = 5/4687 - -612377/1518588. Calculate the common denominator of -11/243 and x.
972
Let b = 1387927/18274680 - 3/135368. What is the common denominator of -19/216 and b?
1080
Let x(q) = 5*q**2 + 13*q + 74. Let b(h) = -4*h**2 - 14*h - 75. Let y(n) = -4*b(n) - 3*x(n). Calculate the least common multiple of 12 and y(-13).
156
Let q = 29/49040 + -3884656271/2893360. Let r = -1343 - q. Let z = -22759/6 + 3815. What is the common denominator of z and r?
354
Let w = -2 + -25. Let m be (-1626)/27 + (-2)/w*3. Calculate the common denominator of (-10)/(-24)*(-441)/m and 137/18.
144
Suppose 5*z = -0*z + 20. Suppose -5*t - 435 = -5*l, -z*l + 2*t = -347 - 1. Calculate the common denominator of -103/18 and (l/12*4/2)/10.
180
Let d be 48330 - -16*(-5)/10. What is the common denominator of 59/18 and 0 - (-10)/8 - d/37444?
9108
Let j(b) be the third derivative of -b**5/60 + 19*b**4/24 - 19*b**3/6 - 9*b**2 + 3. What is the smallest common multiple of j(8) and 24?
552
Let u = 5561 - 5543. What is the lowest common multiple of u and 2922?
8766
Let z = 189 + -140. Suppose 0*o = 7*o - z. Suppose 2*l - h - 5 = 0, -3*l - 3*h + 2 = h. Calculate the smallest common multiple of o and l.
14
Let x = -5989/4 + 1518. Calculate the common denominator of ((-19)/627)/(4/(-249)) and x.
44
Let a(c) = -c**3 + 2*c**2 + 16*c - 27. Let g be a(4). Suppose 10*s - g*y - 15 = 5*s, -y = 2*s - 9. What is the smallest common multiple of s and 14?
28
Let f = -180 + 150. What is the common denominator of (-74)/2*-1 + 3 and (12/f)/(-1*(-11)/120)?
11
Let m = 1595 - 1472. What is the least common multiple of 287 and m?
861
Let t = -18 - -17. What is the common denominator of ((-471)/90)/t - 7/21 and 161/60?
60
Let c be 75/65 + (-2)/65*5. Calculate the least common multiple of 16 and (-152)/76*c/(2/(-288)).
288
Let w = 4320 - 51955/12. Calculate the common denominator of w and 537/4080 - (-58)/(-145).
816
Let y = -361589/47 - -7694. What is the common denominator of y and 39 + -31 + 820/(-30)?
141
What is the common denominator of -103/315 and -7 + 3 + (-5336)/(-1440)?
1260
Calculate the common denominator of ((-156)/468)/(6287/(-6) - (3 - 5)) and 61/2.
12550
Let y = 17149/4476 + 3/1492. Find the common denominator of y and 30/(-105) - (-4458)/17612.
3774
Let m = 472 + -473. Let l(g) = g**2 + 4*g + 1. Let i be l(-4). What is the common denominator of 22/15 and i/m*215/105?
105
Let j = 30389 + -28220. What is the lowest common multiple of 1205 and j?
10845
Let v(h) = 2*h**2 - 42*h - 263. What is the lowest common multiple of 49 and v(32)?
441
Let d = 240983/12 + -20088. Let t = -3/316 + 281/474. What is the common denominator of d and t?
12
Suppose 2*y + 21 = 129. Suppose 8*o - 72 = -4*o. Let x(d) = 4*d - 10. What is the smallest common multiple of y and x(o)?
378
Let i = 19012095 - 380159743/20. Let p = i + -4109. What is the common denominator of p and ((-129)/4)/((-9)/2)?
60
Let v(w) = -40*w + 6034. What is the lowest common multiple of 42 and v(63)?
10542
Let r = 222/9235 - 5390807/129290. Let j = r + 270/7. What is the common denominator of -6/7 and j?
70
Let z = 3351 - 3343. What is the smallest common multiple of z and 99?
792
Suppose -3*i - 762 = 4*z, -3*i + 3*z - 491 = -i. Calculate the common denominator of -85/264 and 605/4*(230/i + 1).
1320
Let k(b) = 399*b**3 + 6*b**2 + 82*b - 160. Calculate the smallest common multiple of 2898 and k(2).
28980
Let n = -5/72392 + -1949359/75649640. Calculate the common denominator of 107/3135 and n.
3135
What is the common denominator of 50/11 and (4/462)/((-54)/(-36) + (-3365)/2190)?
308
Let f = 7710 - 61771/8. Calculate the common denominator of 2/28 - ((-117)/(-504)*-41 - -11) and f.
56
Let q(r) = -r**2 + 5*r. Let z be q(5). What is the common denominator of (-122)/24 + z/3 and (-3)/15 + (-2770)/(-50)*1/27?
108
Let j(p) = 0*p - 7 + 7*p + 2*p - 11. Let x be j(2). Calculate the common denominator of 37/17 and -1 + (x - (-6)/(-14) - 1).
119
Let h(z) = -423*z - 199. Let c be h(-9). What is the common denominator of -37/18 and (c/2970)/((-6)/(-3))?
270
Let t = -80 - -