q and c(18).
10
Let g(h) = 10*h - 115. Let k be g(14). Suppose -5*c = 5*x - k, -2*x = -c + 4*c - 6. What is the lowest common multiple of x and 72?
72
Let c(f) = f**2 + 13*f - 2. Let a be c(-14). Calculate the common denominator of (a/(-90) - (-798)/135)/15 and 70/33.
1485
Let w be 10*(0 - 4/(-20)). Suppose 0 = -2*i + 6*n - n + 14, 2 = -w*i - 3*n. Suppose -1 + 13 = i*k. What is the lowest common multiple of k and 23?
138
Suppose 0 = -49*t + 67*t - 54. Let w(j) = j**2 - 26*j + 75. Calculate the least common multiple of w(t) and 30.
30
Suppose -78 = -4*x - 3*t, -21 = -3*x - 5*t + 54. What is the smallest common multiple of x and 810?
810
Find the common denominator of 4*1/96*46/99 and -7/6.
1188
Let o be 2 - (-3)/(1 - -2). Suppose s - o = -0*s. Let m(d) = d**3 + 3*d**2 - 10*d + 15. What is the smallest common multiple of s and m(-5)?
15
Suppose -7*t = -5*j - 6*t + 65, 95 = 5*j + 5*t. What is the common denominator of j/(-21) - (-37)/75 and -85/8?
600
Let a be ((-1064)/(-6))/(44/(-264)). Calculate the common denominator of a/144 - (0 + -3) and 23/39.
234
Let x be 21/4 + ((-20)/(-16))/(-5). Suppose -5*z = -4*m - 38 - 29, -3*z = x*m - 55. Calculate the common denominator of (-4)/20*z/36 and -31/30.
60
Let p be (-40)/(-16) + (-441)/6. Let v = 283 + -191. Let f = v + p. Calculate the smallest common multiple of f and 6.
42
What is the common denominator of (-3)/(-104)*(-53756)/(-4983) and -111/182?
2002
Let r = -135265/4 + 34002. Let w = 184 - r. What is the common denominator of w and 73/76?
76
Let m(a) = a**3 - 7*a**2 + 6*a + 3. Let f be (2/(-6))/((-7)/126). Calculate the smallest common multiple of m(f) and 10.
30
Let n = -4383 - -4495. Suppose s - 3*s = -6. Suppose -4*q + 8*q + 3*z = n, -140 = -5*q + s*z. Calculate the smallest common multiple of 10 and q.
140
Let y = -17142 - -17186. Let o = 50 - -14. Calculate the lowest common multiple of o and y.
704
Suppose 3*z - 5 = -5*p, 0*z - z = p - 1. Find the common denominator of z + (-158)/24 + -2 and (60/1862 + (-18)/342)*14/(-4).
84
Let w = 63 + -48. Suppose -v = t - 3 - w, -5*t + 3*v + 74 = 0. What is the smallest common multiple of 470 and t?
3760
Let i be 32*(-18)/(-16)*18/81. What is the smallest common multiple of ((-4)/6)/(4712/(-588) + i) and 77?
539
Let h = 296 - 288. Let v = -4 + 14. Calculate the least common multiple of v and h.
40
Let z = 270 + 47. Let d be (1/3)/((-6)/(-5913)). Let g = z - d. Calculate the common denominator of g and 25/4.
4
Suppose 5*k + 1 = 2*m - 15, -3*k + m - 9 = 0. Calculate the common denominator of ((-1)/3)/(45/225) and (-63)/5 - k - 2.
15
What is the common denominator of -13/276 and (-7341)/(-2790) - 62/961?
1380
Suppose -8*a + 21092 = -4*h, 1182 + 6773 = 3*a + 5*h. Calculate the smallest common multiple of a and 48.
2640
Let n(j) = 9*j - 9. Suppose -z + 9 = 7. Let o be n(z). Suppose -o*s + 90 + 18 = 0. What is the lowest common multiple of 8 and s?
24
Calculate the smallest common multiple of 726 and 4/14 + (300/(-70) - -5).
726
Let d(r) = 4*r**3 + r**2 - 60*r + 168. What is the lowest common multiple of 15 and d(3)?
105
What is the common denominator of -3 + (-7)/(-3) + 0 and ((-10)/(-6))/((-55)/88)?
3
Suppose c + 1 - 4 = 0. Suppose -x - 16 = -28. Suppose -6*d = x - 30. Calculate the smallest common multiple of c and d.
3
Let x = 27 - 25. Suppose x*m + 2 = 50. Calculate the common denominator of 153/m - 2/4 and 70/3.
24
What is the lowest common multiple of ((-2169)/1687)/((-9)/4494) and 144?
15408
Suppose 472 = 9*g + 4171. Let t = g + 435. What is the least common multiple of t and -6*-1*(-1)/(-2)?
24
Let u(a) = -2*a - 7*a**3 + 19*a**2 + 6*a**3 + 25 - 8*a**2 + 0*a. What is the lowest common multiple of u(11) and 11?
33
Let l = -1803/20 - -492/5. Let k(i) = i. Let g be k(2). What is the common denominator of -2 - (46/12 - g) and l?
12
Let g be (-500)/18 - ((-291)/27 - -11). Calculate the common denominator of (9/g)/(60/1480) and -89/34.
238
Let v(q) = q**2 + 9*q - 104. Let l be v(-16). What is the lowest common multiple of (-398)/(-4) - 4/l and 18?
198
What is the least common multiple of (39494/(-104))/(-7) + 1/(-4) and 54?
54
Suppose -3*r - 4*q - 25 = -2, 0 = -r + 2*q - 11. What is the common denominator of (-175)/(-90) - r/(-12) and -59/10?
180
Let a be -9*((-8068)/(-8076) + -1). Let d = a - 15527/5384. Find the common denominator of -95/334 and d.
1336
Let y = 154831281 + -420521786695/2716. Let r = y + -1/5432. Calculate the common denominator of 30/(-735) - 26830/2940 and r.
24
Suppose 7 = -8*h + 15. Let g = h - -4. Suppose 3*v + g*f = 4, -2*v + 5*f - 12 = -6*v. Calculate the least common multiple of v and 12.
24
Let b = 301117507/1283 - 234698. What is the common denominator of 99/8 and b?
10264
Let q = -87 - -162. Let j = 80 - q. What is the smallest common multiple of j and 45?
45
Let c = -10073/4 - -90367/36. Find the common denominator of 4/14 + 1118/(-336) and c.
72
Let c = 3393 + -3270. What is the smallest common multiple of 451 and c?
1353
Let n = -248 + 224. Let j = -44 - -95. Calculate the least common multiple of 2*(-6)/n*2 and j.
51
Let w(j) = -18*j + 2764. Let f be w(0). What is the common denominator of -113/6 and f/(-560) + 4/14?
60
Let o(q) = q + 43. What is the lowest common multiple of o(-23) and 198/(-11)*((-26)/6 + 3)?
120
Let a = 266 + 181. Suppose 3*c - a = -5*t, -2*t = -4*t + c + 181. Suppose t = 22*j - 19*j. Calculate the smallest common multiple of j and 18.
90
Suppose -3*z + 180 - 57 = 0. Suppose -2*c + 34 = 2*g, -3*g + 2*c + z = -0*c. Suppose 13*h + g = 132. What is the smallest common multiple of 12 and h?
36
Suppose -16 = -4*p + 196. Let s = p - 37. Suppose 8*w - s = 112. What is the lowest common multiple of 44 and w?
176
Let s = -43075/112 - -385. Find the common denominator of s and -109/84.
336
Suppose a - 4*c = 63, -20*a = -15*a + 3*c - 292. Let u = 371 - 177. Suppose -5*f + u = a. Calculate the smallest common multiple of f and 3.
27
Suppose -2*n + 897 = -3*b, 4*b = -293 + 305. Calculate the lowest common multiple of 6 and n.
906
Suppose 3*a + 6*a + 16542 = 0. Let q = a - 1083. Let b = q + 17455/6. Calculate the common denominator of b and -99/116.
348
Let d = 13/196 - 11387/1764. Calculate the common denominator of d and -27/2996.
26964
Calculate the common denominator of -1/294 and (-4)/(24/(-9))*(-121)/231.
294
Suppose 6*n + f = 2*n + 883, 0 = -2*f + 6. Let t = n + -212. Calculate the lowest common multiple of 4 and t.
8
Let r be 2/222*(-7)/(-3612)*-9. Let l = 47333/4773 + r. Calculate the common denominator of -79/21 and l.
84
Let m = -3173 + 3192. Calculate the lowest common multiple of 64 and m.
1216
Suppose 0*z + 4*z - 64 = 0. Let l be 83/5 + 5/(250/(-30)). Suppose 7*n - 14 = 5*n - 3*u, -2*n = 4*u - l. Calculate the lowest common multiple of z and n.
16
Let z be (-38)/(-247) + 184/(-13). Let x(t) = -5*t. Let m be x(z). Suppose 0 = 3*k + y - m, 0*y = -2*y - 4. Calculate the lowest common multiple of 7 and k.
168
Suppose -1125 - 1423 = 32*k - 9460. Calculate the least common multiple of 1080 and k.
1080
Suppose h + 29 = 27. Find the common denominator of -53/6 and h + 9/(612/88).
102
Let g(y) = -233*y - 1093. What is the least common multiple of g(-11) and 6?
1470
Let i(m) = 3*m**2 - 2*m - 1. Let z be i(-2). Let x(w) = 4*w + 64. Let a be x(-8). What is the common denominator of 39/11 and (-10)/z*(-510)/a?
88
Let v = 6281 - 4701. Calculate the lowest common multiple of v and 110.
17380
Let r(f) be the first derivative of f**3/2 - f**2/2 + 18*f - 14. Let h(s) be the first derivative of r(s). What is the smallest common multiple of 20 and h(11)?
160
What is the common denominator of ((936/(-84))/(-13))/((-8298)/84) and -139/24?
11064
Suppose -33239 = 2*l + 5889. Let a = l - -430517/22. Let b = -62509/16 - -3913. Calculate the common denominator of b and a.
176
Let c = -140089/60 + 7022/3. Let b = -39 - -72. Find the common denominator of c and (-107)/b + 7/((-210)/(-25)).
220
Let k(j) = 3*j**2 - 3*j - 9. Let d be k(4). Suppose -9624 = -24*x + d*x. Let a = x + 115481/36. What is the common denominator of a and 65/9?
36
Let z = 324/115 + -7673/805. What is the common denominator of z and (6/(-27))/(0 + (-8)/498)?
42
Suppose m + 1629 + 503 = 3*m. What is the smallest common multiple of m and 286?
11726
Let f(d) =