-5*z = c - 1418. Calculate the lowest common multiple of 10 and z.
280
Let s = -7885 + 149858/19. Let h = 16436/9 + -16628/9. Find the common denominator of s and h.
57
Let m = 1705 - 1562. What is the smallest common multiple of 2 and m?
286
Suppose 65 - 185 = -5*q. Let v(k) = 20*k**2 - 154*k - 38. What is the smallest common multiple of q and v(8)?
120
Find the common denominator of (10/9)/(82156/1974) and -48/115.
6555
Let o = -15390 - -19845. Calculate the lowest common multiple of o and 5265.
57915
Suppose -s + 1 = 0, 13 = 3*y - s - 91. Suppose -14*d - y = -7*d. Calculate the least common multiple of (-1 - (-13)/d)*40/(-16) and 21.
63
Let o = -71297 + 6844583/96. Find the common denominator of 91/1072 and o.
6432
Let r(q) = 57*q**2 - 10*q + 31. Let n be r(9). Let f = n - 95776/21. Calculate the common denominator of f and 68/21.
21
Let b = -1705 + 2600. What is the common denominator of -33 - -40 - b/121 and 89/22?
242
Suppose 3*z + 1046 = 4*t + 5*z, 0 = -5*t - 5*z + 1315. Calculate the least common multiple of t and 14.
1820
Suppose h - 3*z - 41 = 0, 6 = -2*h - 5*z + 55. What is the smallest common multiple of h and 128?
128
Let x be (3 - 1) + 3 - -4. Suppose -89 + x = -5*k. What is the common denominator of k - 12 - (-478)/(-96) and -121/6?
48
Let z = -149009/30710 + -33/830. Let f = z + 9883/1332. What is the common denominator of -31/54 and f?
108
Let a = -997/150 + -14/75. Let z = -271/30 - a. What is the common denominator of z and -28/3?
15
Let r = 109 + -64. Calculate the lowest common multiple of r and (19/((-57)/(-12)))/(4/8).
360
Let k = 14194 + -14065. What is the smallest common multiple of 9 and k?
387
What is the common denominator of ((25700/1920 - 14)*-1)/(0 + -1) and 27/22?
1056
Let r = -2188/13 + 188805/1118. Find the common denominator of r and -7/4.
172
Let l = -544 - -991. Suppose 11*k - 491 = -l. What is the least common multiple of 300 and k?
300
Let q = -45582 - -21332521/468. Calculate the common denominator of q and 53/24.
936
Suppose 3 = d - 1. Let v(p) = 10*p - 17. Let t be v(2). Suppose 0 = t*m + b - 192, 5*b + 64 = m + 10*b. Calculate the least common multiple of d and m.
64
Suppose -3*m = -3*d - 63, 3*m = -19*d + 20*d + 77. Calculate the smallest common multiple of 112 and m.
112
Suppose i = -3*i - u + 157, -5*i + 2*u = -206. Let s = -4381 + 4407. Calculate the least common multiple of i and s.
520
Let z(b) = -b. Let d(s) = -33*s. Let f(p) = -d(p) + 22*z(p). Let v be f(5). Let u = v - 49. Calculate the lowest common multiple of u and 10.
30
Suppose -4*m + 48 = -4*y, -3*m + 33 = m + y. Suppose -1137 = -137*t + 1329. Calculate the least common multiple of m - (-2 - -3) - 0 and t.
72
Suppose h = 7*h - 150. Let t = 27 - h. What is the common denominator of 6/11 and (-564)/(-18)*(t - (-53)/(-28))?
154
Let r be 1 - 54069 - (-79 + 74). Let s = r - -12272331/227. Calculate the common denominator of s and 2/11.
2497
Let r(z) = z**2 - 11*z - 6. Suppose -51 = -2*d - 2*t - 3*t, 3*d - 5*t - 39 = 0. Let y be r(d). Find the common denominator of -6*(-4)/40 - (-143)/y and -80/21.
168
Let u(f) = -2*f**2 + 3*f + 6. Let s be u(2). Suppose 0 = 21*m - s*m - 1071. Calculate the lowest common multiple of m and 3.
63
Let h be (-5 + (-1225)/(-240))*(-9)/1200. Let t = -27841/1280 - h. What is the common denominator of t and 75/98?
196
Let y(r) = r - 7. Let q be y(3). Find the common denominator of 282/(-27) - (q + 0)*1 and -71/45.
45
Let z = -74891/16 + 4680. Calculate the common denominator of 69/1594 and z.
12752
Let p = 22 - 16. Let x be 4/p*-6*1/(-2). Find the common denominator of -79/15 and (0 + x)*(71/(-48))/(-1).
120
Find the common denominator of 69/138*(-232)/354 and 11/60.
3540
Let w be ((-240)/(-8))/((-6)/(-8)). Calculate the common denominator of (-322)/(-69)*(-26)/w and -119/54.
270
Let a = -22 + 219. Suppose -5*n + a = -153. Calculate the lowest common multiple of n and 20.
140
Let b be (-872088)/23870 - 1/(-2). Let x = b + -110655/341. Let t = x - -1782/5. Find the common denominator of 79/10 and t.
110
Let m = 4666 - 4654. Suppose 0 = d - 3*j - 27, 5*j = 2*d - 4*d + 43. What is the smallest common multiple of d and m?
24
Let z = 257208 - 74075831/288. Calculate the common denominator of 103/2016 and z.
2016
Let k(a) = -59*a**3 + 2*a**2 + 2*a + 1. Let i be k(-1). Find the common denominator of ((-174)/i + -5)/(3/(-5)) and 85/21.
42
Let c(g) = -g**2 + 31*g - 87. Let a be c(28). Calculate the least common multiple of (-5)/(5/(-8)) - -1 and (2 + -1)*(7 + 3 + a).
63
Let k = 2/94561 - -4444043/15318882. Find the common denominator of (-357)/90 + (0 - 2) and k.
810
Let b be (-4)/(-24) - (-2 + (-44)/24). Suppose 0 = -b*i - n + 181, 2*i - 2*n - 223 = -3*i. Calculate the lowest common multiple of i and 10.
90
Let d = 1530 + -1512. Calculate the least common multiple of d and 2088.
2088
Let w = 4274 + -1230923/288. What is the common denominator of w and 21/16?
288
Let i = 31211 + -2496921/80. Let w = -147691/38844 - 11/3237. Find the common denominator of i and w.
720
Let u(f) = -2*f**2 + 14*f + 14. Let d be u(8). What is the common denominator of 38/(-8) + -4 + -4 and d + ((-26)/30)/((-18)/(-5))?
108
Let y(s) = 2*s**3 - 10*s**2 - 12*s - 8. Let g be 7 + (12 - 7 - 2*2). Let t be y(g). What is the common denominator of (-181)/t + (-1)/(-5) and -25?
56
Let z(s) = -208 + 43*s - 53*s + 37 - 32*s. What is the smallest common multiple of 12 and z(-11)?
1164
Suppose 130 = 5*n + 2*v, -4*v - 679 = 3*n - 771. Let u(h) = -h**3 - 11*h**2 - 16*h + 6. What is the smallest common multiple of u(-10) and n?
264
Suppose -p = -4*z - 14, -4*p = -p + 3*z - 57. Let l(x) = x**2 + 442*x - 5428. What is the smallest common multiple of l(12) and p?
180
Let g = 1609100 + -4248024067/2640. Calculate the common denominator of 1/45 and g.
7920
Let y = 4760 - 3752. What is the lowest common multiple of 4 and y?
1008
Suppose 124*y = 121*y - 4*a + 3423, -2*y + 2*a + 2296 = 0. Let z = -1130 + y. Calculate the lowest common multiple of ((-4)/3 + 0)*-9 and z.
60
Let w = 6296/17 - 6322/17. What is the common denominator of (1/22)/(1/34) and w?
187
Suppose -59*y = -1899 - 3234. Suppose 4*i = -2*g + 3*g + 121, -61 = -2*i + g. Calculate the least common multiple of i and y.
870
Suppose -3*p - f = -78, -f + 175 - 73 = 4*p. What is the smallest common multiple of p and (7 - -1)*(-10)/(-4)?
120
Let v be 4 + 92/(-22) - 299/(-11). Suppose -4*i = -v + 3. Let b = 76 - 73. Calculate the lowest common multiple of i and b.
6
Suppose 5*k - 2*t = 34, -5*k + 8*k - 4*t - 26 = 0. What is the smallest common multiple of (55/15 - 4)*3 + 49 and k?
48
What is the least common multiple of 7 and (59/(-2))/(13/2548*-7) - 8?
5726
Let s(l) = 109*l + 2584. Calculate the least common multiple of 166 and s(-10).
1494
Let k = 12824 + -12422. What is the smallest common multiple of k and 402?
402
Let i = 229800 - 3442561/15. Let b = -871/3 + i. Find the common denominator of b and -43/39.
195
Let k(f) = -2*f**3 + 30*f**2 + 195*f + 105. Calculate the least common multiple of k(20) and 1135.
1135
Suppose -3*k - 2*z - 133 = 3*z, -5*k - 239 = 4*z. Let i be ((-238)/k)/(2/(-6)). Find the common denominator of 20/(-10)*i/16 and 73/3.
12
Let h(u) = -376*u - 330. What is the least common multiple of h(-6) and 6?
1926
Calculate the common denominator of (15458/1652)/(72/(-21)) and -125/312.
624
Let c be -14*(-30)/(-72)*(-7 + 1). Suppose 29 = 11*w - 12*w. Let o = c + w. What is the common denominator of 11/8 and o?
8
Let y(w) = -w + 2*w - 7*w + 2*w + w**2 - 6*w + 2. What is the lowest common multiple of 61 and y(10)?
122
Suppose 0 = w - 68 + 59. Suppose 0 = w*u - u - 192. Calculate the smallest common multiple of u and 21.
168
Let a(w) = 15*w + 879. What is the smallest common multiple of 54 and a(-46)?
378
Let n = -50776493/776696 + -1/97087. Let o(r) = -1121*r + 7782. Let z be o(7). Let i = n - z. Calculate the common denominator of 6/17 and i.
136
Let d(l) = -89*l**2 + 33*l - 4. Let u be d(-7). Let g = u - -91891/20. Find the common denominator of (11/(-8) - 0)/(-2) and g.
80
Let v = -31252031/42 + 744223. Let p = -374/3 + v. Let g = -15247/1662 - -2/277. Find the common denominator of g and p.
42
Let u = -95 - -97. Calculate the smallest common multiple of 12 and u/(-14) - (-702)/63.
132
Suppose 