m = d - -146. Calculate the smallest common multiple of m and 30.
30
Let i = 117 + 68. What is the common denominator of ((-1)/(-6))/((-5)/i) and 64/111?
222
Let a(t) = 23*t + 72. Let x be a(-3). Calculate the smallest common multiple of 166 and x - 9 - (10 + -19).
498
Suppose -5*c + 56 = -189. Suppose -3*t = 7*g - 210, -2*g + 163 = 2*t - 5*g. Calculate the lowest common multiple of t and c.
539
Find the common denominator of -93/364 and (35/28*18)/1092.
728
Let b = -3380 - -1455. Calculate the common denominator of -133/48 and -1 - (b/84)/(-5).
48
Let y = 329363/336 - 6854/7. What is the common denominator of -73/684 and y?
2736
Calculate the common denominator of 3/(-162)*((-12)/(-210) + (-11499)/(-2730)) and 37/396.
5148
Suppose -4*j - 38 = 2. Let q = j + 9. What is the least common multiple of 2 and q/(-3) + 154/42?
4
Suppose 0 = 10*s - 8*s + 3*y - 110, 0 = 3*s - 5*y - 32. Let u = 17 - 5. What is the smallest common multiple of s and u - 2*(1 - 2)?
238
Let d be (-1 - -2)*450/18. Suppose 2*c = 7*c - d. What is the smallest common multiple of c and 11?
55
Let v = -56599/50490 - 1/4590. Calculate the common denominator of v and -43/123.
1353
Let b = 224 - 220. Suppose b*u + c = 191, -3*u + 26 + 122 = -4*c. What is the least common multiple of 18 and u?
144
Find the common denominator of ((-8)/15)/(8/(-80)) and ((1240/48)/5)/((-10)/18).
30
Let h = -1500319/22 - -68182. Let g = h - -31/11. Find the common denominator of (-4)/22 - 284/(-110) and g.
10
Suppose 5*h - 2752 = -2*g, -4*h - 4*g + 1937 = -255. Calculate the least common multiple of h and 36.
1656
Suppose -39 = 21*k - 8*k. Calculate the common denominator of -125/24 and ((-102)/36 - k) + (-284)/168.
168
Let v = -18099 - -18111. Calculate the smallest common multiple of v and 52238.
313428
Suppose 3*r = -5*j + 2112, -2*r = -3*j + 777 + 494. Let h = -56 + j. Suppose -7*m + 1061 = -h. What is the lowest common multiple of m and 6?
204
Let y = -2026161629/1692 - -1197495. Calculate the common denominator of y and 37/1880.
16920
Let g = 3966 + -3880. Calculate the lowest common multiple of g and 51.
4386
Suppose 5*u - 81 = -2*v, -3*u + 2*v = -17 - 22. What is the smallest common multiple of u and 459?
2295
Let a(u) = 1369*u - 8196. Let c(w) = w**2 + 3*w - 6. What is the least common multiple of a(6) and c(-6)?
36
Let x = 22070 - -76. Calculate the smallest common multiple of 22 and x.
243606
Let f = 182 + -186. What is the lowest common multiple of 234/8 + f + 38/8 and 3?
30
Suppose -35 = -2*m - 2*m - 3*l, -m + 4*l + 23 = 0. Let h be -11 - -12 - -1*1. Let q(c) = 3*c**2 - 5*c + 7. Calculate the least common multiple of m and q(h).
99
Calculate the common denominator of 9 - ((-4082)/(-780) + (-2 - 0)) and 7/520.
1560
Let w be 45/54*(-31576)/(-30). Let b be ((-1104)/(-72))/(1/(-57)). Let d = b + w. Calculate the common denominator of d and -40/3.
9
Let w = 14261/48514 + -96/191. What is the common denominator of w and -79/82?
10414
Let s(j) = 7*j**2 + 7*j + 8. Let c be s(-4). What is the smallest common multiple of (-20)/35 - (-22)/14 and c/(-6)*(-3)/2?
23
Suppose 0 = -3*q + 9, 0 = -a - 2*q + 122. Let j = 11577 + -11575. What is the least common multiple of j and a?
116
Let y(x) = -x**3 + 11*x**2 - 9*x + 16. Let d be y(8). Suppose -16*w + d = -8*w. What is the least common multiple of (-2)/(-4)*14*1 and w?
119
Let z be 2/11 - (-899)/319. What is the lowest common multiple of (12/(-100)*-10)/(z/55) and 18?
198
Let o = 391636 + -122190323/312. Calculate the common denominator of o and 41/780.
1560
Suppose -p = 2*p - 108. Calculate the smallest common multiple of p and (-2)/6*(-189)/14 - (-357)/(-238).
36
Let z = -10697 - -10889. What is the least common multiple of 330 and z?
10560
Let o(k) = -k**3 + 8*k**2 + 7*k + 22. Let f be o(9). Suppose -4*t + 13 - 101 = 0. What is the common denominator of (-841)/88 - f/t and 34/7?
56
Let j = 1417997 + -4934629637/3480. Find the common denominator of 137/192 and j.
27840
Suppose -h - 112 = -205. Let s = 98 - h. Calculate the smallest common multiple of 9 and s.
45
Calculate the smallest common multiple of (-14 + 265/20)*-1616 and 12.
1212
Let q be (-4)/(32/2828) + -4. Let r = -403 - q. Let y = 5090 + -173149/34. Find the common denominator of y and r.
34
Calculate the lowest common multiple of 192 and (-18308)/(-644) - (40/(-7))/(-4).
1728
Suppose 3*m - 35 = 2*b, 0 = -2*m - 0*m - 5*b + 55. Let j = 26971/80 - 1676/5. What is the common denominator of (690/63)/((-20)/m) and j?
112
Suppose 1627*a - 468 = 1588*a. Calculate the lowest common multiple of 1036 and a.
3108
Let a(f) = f**2 - 3*f - 12. Let g be a(6). Let u = g + 14. Suppose d - 9 + 5 = 0. What is the least common multiple of d and u?
20
Calculate the lowest common multiple of (-11 + 688/80)*(-880)/6 and 144.
3168
Calculate the common denominator of 33/28 and -265 + 276 + (-2550)/224.
112
What is the common denominator of (-132)/44 - ((-10)/12)/(65/45) and 1 - 65/(-48) - 0?
624
Let x(j) = 3847*j - 785. What is the least common multiple of x(5) and 15?
18450
Calculate the common denominator of -59/400 and 121845/(-24400) + (-80)/(-16).
24400
Let j = 731 + -715. Suppose 56 - j = 40*z. Let k = 22 + -11. Calculate the lowest common multiple of z and k.
11
Let a = -312278/3472497 - 1/55119. Let o = 73447 + -5949170/81. What is the common denominator of a and o?
567
Suppose 7*v = 12*v + 10, -5*j + 111 = 2*v. Let c(k) = -k**2 + 18*k + 113. Calculate the common denominator of c(j) and 49/18.
18
Suppose 15215 = 3*n - n + 3*i, i - 38018 = -5*n. Suppose -4*d = 385 + n. Let t = 31919/16 + d. What is the common denominator of 143/36 and t?
144
Let o = 452/1111 - 266016/658823. What is the common denominator of o and -45/4?
26092
What is the smallest common multiple of 1 and -4 + ((-8)/(-1))/(40/(-20)) + 66?
58
Let a = -8782668811 + 52889231793619/6022. Let s be ((-4)/20)/((-27099)/90). Let l = s + a. Calculate the common denominator of -45/86 and l.
86
Let u(y) = y**2 + 6*y - 2. Let p(g) be the first derivative of 3*g**2/2 + 10*g + 32. Let m be p(-6). Calculate the least common multiple of 16 and u(m).
112
Let v be ((-2)/8)/((-3276)/(-85672)). Let c = v - -71/273. Let x = 575863/206074 + -2/6061. Calculate the common denominator of x and c.
306
Suppose z + 0*d = 5*d + 14, -2*d = 0. Let o(b) = 2*b**2 - b + 343. Calculate the smallest common multiple of z and o(17).
6328
Suppose 99 = 27*t - 63. Calculate the common denominator of 36/21 + (t - 12) and (-11)/14*(12 + -2).
7
Suppose 43*t = 91184 - 24964. Calculate the common denominator of t/(-2464)*(-2)/90*43 and 137/60.
360
Suppose -19 + 71 = 4*c + 4*v, 5*c = 5*v + 55. Suppose -5*l - l = -c. What is the least common multiple of 11 and (l + -1)*3/9*6?
22
Let y = -544777915/1086 - -501637. Calculate the common denominator of -11/543 and y.
1086
Let j = 355/12 + -2669/84. Let n = -134456555/427374 - 3/23743. Let h = -615/2 - n. Find the common denominator of j and h.
63
Let y = -71444 - -71473. Suppose -134 = -3*d + 2*m, 3*m - m = 4*d - 176. What is the least common multiple of y and ((-2)/(-6))/(2/d)?
203
Let m(c) = c**2 + 13*c + 25. Let x be m(-11). Let y(r) = -25*r**2 - 2*r + 6. Let f be y(x). Calculate the lowest common multiple of 6/21 - f/21 and 4.
44
Let i be 2/((-12)/(-90)*5). Suppose i*y + 2*l = -53, y + 5*l + 0 = 4. Find the common denominator of -89/4 and y.
4
Let g be (-41933555)/480 + 1/3. Let u = -87362 - g. What is the common denominator of u and -1/2?
96
Let g = 5108846598/3951401515 + 3/13987262. Let z = g - -4/565. What is the common denominator of z and ((-348)/70)/(4/(-5))?
70
Let j = -677 + 1955/2. Let q = j - 333. What is the common denominator of 27/362 and q?
362
Let a = -510 - -67325/132. Find the common denominator of a and (-8 + 0 - (-850)/105)*889/12.
396
Suppose 2*u + 3 = -15. What is the common denominator of ((-21)/24)/(u/(-228)) and (0 - -3) + (-8)/(480/910)?
6
Suppose -s - 147 = 3*s - 3*d, s - 4*d + 53 = 0. Let q(t) = 53*t + 124. Let p be q(24). Let l = 8353/6 - p. What is the common denominator of s and l?
6
Let a = 6/319 - -6964/2871. Suppose -4*k + 4*m - 30 = 70, -5*k + 3*m = 131. Find the common denominator of a and (14/8)/((-8)/k).
72
Suppose 318 = -p - 2*r, -3*r = -p - 2*r - 309. Let x be (-4)/22 - p/22. Suppose 0 = -x*j + 10*