 + 35 = 0. Let u be (-2)/(-7) - (-19)/n. Calculate the common denominator of 83/36 and ((-556)/44 + u)/2.
396
Let l(v) = 50*v**2 + 348*v - 4083. Calculate the smallest common multiple of 286 and l(12).
14586
Suppose 5*m + 0*g + 5*g = 0, 5*m = 3*g. Suppose m = -z + 76 + 4. Calculate the least common multiple of 16 and z.
80
Calculate the common denominator of -19/90 and (-17)/1020*(-58)/(-14)*-2.
630
Let x(m) = 4*m**2 - 12*m + 5. Let r be x(3). Let b(l) = l**2 - 7*l + 40. What is the smallest common multiple of b(r) and 18?
90
Let k = 27043727/13600 - 33804/17. Calculate the common denominator of -37/48 and k.
2400
Let n be (4/(-60))/(4/(-563643)). Let v = -9399 + n. Find the common denominator of -22/25 and v.
100
Calculate the smallest common multiple of 311760/864 + (-10)/12 and 120.
360
Let f = -1170 - -1192. Let a = 10 + -11. What is the least common multiple of f and a*(-12)/9*12?
176
Let a = 207 - 187. Suppose 5*s = 5*t + 30, t - 5*t - a = -2*s. Calculate the smallest common multiple of 4 and s.
4
Let z = 115063/308 - 374. What is the common denominator of z and -71/44?
308
Suppose 25*a + 5364 = 23974 + 39890. What is the smallest common multiple of 936 and a?
4680
Let r be (-20)/(-30)*(0 + 30). Suppose r = 2*l + 4. Suppose 9*d - 120 = -30. What is the lowest common multiple of l and d?
40
Let f = 9511/3 - 3182. Calculate the common denominator of 52/1035 and f.
1035
Let d = 142720035 - 89057261867/624. Let l = d + -813/13. What is the common denominator of l and -93/20?
240
Suppose 2*y = 10, -2*h + 0*y + 37 = 3*y. Let c(m) = -m**2 + 7*m + 30. Let d be c(h). Calculate the common denominator of 29/40 and (5/(-18) - -1)/(4/d).
360
Calculate the lowest common multiple of -6*8/72*-31*(33 + 3) and 62.
744
Let h be 1/((-6)/(-2007)) - 2. Let l be (-10852)/32 - 1/(-8). Let a = l + h. Calculate the common denominator of a and 19/8.
8
Let n = -20767423/2139690 + -746/3101. Let c = 182/23 + n. Find the common denominator of c and 14/3.
30
Let u = 133 + -23. Suppose 0 = -5*g - y + 792, g = 4*y + 40 + u. Suppose q + 4*f + 0*f - g = 0, 5*q - 740 = 5*f. What is the lowest common multiple of 20 and q?
300
What is the common denominator of (2/(-18))/((-2)/(1242/(-4815))) and 29/30?
3210
Let x = 16 - 14. Let y(t) = t**3 + 19*t**2 - 13*t - 27. Let z be y(-19). Suppose 6*u = -14*u + z. What is the smallest common multiple of x and u?
22
Let i = 242 + -712/3. Let q = i - 239/36. What is the common denominator of 19/9 and q?
36
Suppose 0 = 5*o + o. Let y(r) = o*r - 7*r**2 - 3 + 4*r**2 + r**3 - r**2 + 6*r. What is the smallest common multiple of 4 and y(3)?
12
Let m be (-1396)/(-8) + 1 - (-6)/(-4). Suppose 4*j + 26 - m = -2*l, -5*j + 170 = -5*l. What is the smallest common multiple of j and 2?
36
Suppose -9*t + 12420 = -14*t. Let b = t + 3504. Let v = b - 18341/18. Find the common denominator of v and -65/32.
288
Suppose -8*c = -4*c - d - 666, 0 = -5*d + 30. Calculate the lowest common multiple of c and 84.
168
Let r = 21/3742 - -84868/46775. Let f = -1180144/345 + 10261/3. Find the common denominator of r and f.
1150
Suppose -2*u - 62388 = l, -2*l - 60073 - 2317 = 2*u. Let m = 935963/30 + u. Calculate the common denominator of m and -89/54.
270
Suppose 5*l + 127 = 3*g, 5*g + l = 4*l + 233. Calculate the least common multiple of g and (19/((-133)/490))/(-1) - -7.
539
Suppose -25*s = -106 + 6. Suppose -m = -0*m - 6. Calculate the lowest common multiple of m and ((-189)/(-45) - s) + (-164)/(-5).
66
Let b = -256 - -270. Let s = b + -349/26. Find the common denominator of -23/4 and s.
52
Let t(u) = u**3 + 7*u**2 + u - 12. Let i be 1/1*(47 + -52). Calculate the lowest common multiple of 12 and t(i).
132
Let j = -150032/75 + 2000. Find the common denominator of 149/180 and j.
900
Let x(y) = 5*y**2 - 54*y - 68. Calculate the smallest common multiple of x(12) and -3*22/(-6) + 1.
12
Suppose -10*t + 11*t - d = 2, 5*d = 10. Suppose 0 = 5*c + h + 4*h, 5*c - 18 = 4*h. Suppose c*k + 0*k = 80. What is the lowest common multiple of t and k?
40
Suppose 84 = 4*l - 2*a, -3*l + 2*a - 41 = -104. Suppose -m = 5*z - 1124, -36*z + 37*z + 5*m - 220 = 0. Calculate the lowest common multiple of l and z.
1575
Let o = -1256/1035 - -298/115. What is the common denominator of o and -1 + 268/36 - -2?
45
Let b = -5913 + 5967. Calculate the smallest common multiple of b and 7.
378
Let o = -245 + 246. Calculate the common denominator of (-257 + 8)*o/(-66) and 79/46.
506
Suppose 88*n - 82*n = -42. Find the common denominator of -34/15 and 2115/567 + (0 - (-2)/n).
45
Suppose -2*b + 0 = j + 2, 2*j = 4. Calculate the least common multiple of (5 + (b - 1))*10/1 and 112.
560
Suppose q = -4*f - 15, -3 = -7*q + 4*q. Let n = -4 - -40. Calculate the least common multiple of (-177)/f - 2/40*5 and n.
396
Let y(k) = 20*k**2 - 127*k + 333. What is the smallest common multiple of 27 and y(14)?
7425
Let p = 9/25060 - 62291/395948. What is the common denominator of p and -62/3?
1185
Find the common denominator of -53/44 and ((-1560)/32)/13*(-40)/288.
528
What is the smallest common multiple of 92 and (0 + -2)/((-50)/6900)?
276
Let j = 1376/945 + -1895021/945. Let c = 1998 + j. Find the common denominator of (258/(-2580))/(30/1525) and c.
84
Let b = -15837/162268 - -17557174391/4259535. Let o = b - 28865/7. Find the common denominator of 61/180 and o.
180
Let o = -2111/322 - -21/23. Calculate the common denominator of o and 73/3286.
23002
Let c(u) = -4*u**2 + 6*u + 187. Calculate the least common multiple of c(-6) and 1164.
8148
Let u be 9 + -13 + (-1 - -1). Find the common denominator of (3/66)/(u/(-12)) and (9 - -8) + -10 - 91/(-6).
66
Let g be (-2)/9 + (-18135)/405. Let z = -167/2 - g. What is the common denominator of -73/116 and z?
116
Suppose -429 = 5*x + 611. Let u be x/(-5) - 4/(-10). What is the common denominator of ((-42)/19 - -2)*(-14)/u and -25/33?
627
Suppose 3*b = -3*y + 123, y - 5 = 3*b + 16. Calculate the least common multiple of (-12)/84*-49 + 8 and y.
180
Let r be (-1)/(-4 + 24845/6210). Let y = 2437/2 + r. What is the common denominator of y and 103/6?
6
Calculate the common denominator of (-55932)/(-2133)*(-2)/(-320) and -11/780.
4680
Let c = 39 + -27. Let w be (726/(-12))/11*(0 - 2). Suppose -w - 61 = -4*u + 3*l, -4*l - 68 = -4*u. Calculate the smallest common multiple of c and u.
84
Let o = 251 + 1. Calculate the lowest common multiple of -6 + (-75)/(-12) - 86/(-8) and o.
2772
Suppose 0 = g + f + 14, f - 34 = g + 2*g. What is the common denominator of (4/440)/(g/570) and -35/4?
44
Suppose 0*s + 8*s = 16. Suppose -173 - 235 = s*j. What is the common denominator of 67/16 and 5/(-3)*(3510/j)/13?
272
Let a be (4 + -5 + 7)*4/(-12). Calculate the lowest common multiple of 112 and (a/(-5))/((-7)/245*-1).
112
Let k = 719 + -39546/55. Calculate the common denominator of -49/165 and k.
165
Calculate the common denominator of 61/18 and (-1 + 21527/21560)*232/12.
8820
Suppose 2*u + u = 2*t - 4543, 3*u = -4*t + 9149. Calculate the least common multiple of t and 8.
9128
Let t = 424 + -420. Suppose t*q - 5*d = 65, -q - 4*d - 13 + 24 = 0. What is the smallest common multiple of q and 17?
255
Calculate the common denominator of (-550)/660*(0 + 426/(-200)) and 49/96.
480
Calculate the lowest common multiple of 21 and (45/6 + -4)*(-16344)/(-42).
9534
Let i be (-1)/(-3 + (-66)/(-21)). Let q be (i/2 - 0)/((-3)/(-6)). Calculate the lowest common multiple of 144/14 - (-4 - 30/q) and 6.
30
Let c = 114987 - 2873319/25. Let j = c - 21409/350. Find the common denominator of (-4)/(-16) + (-54)/(-15) and j.
140
Let y(w) = w**3 - 23*w**2 - 254*w - 6. Calculate the lowest common multiple of 1158 and y(-8).
8106
Let s(h) = -75*h**2 - 457*h + 2. What is the least common multiple of 126 and s(-6)?
2772
Let w(r) = -72*r**3 + 3*r**2 - 1. Let j be w(-2). Let i = j + -10625/18. Calculate the common denominator of i and 93/6*(-8)/216.
54
Suppose -11*p + 1397 = -770. Suppose -2*i = 71 + p. Calculate the common denominator of 13/5 and i/(-4)*(2 - 1).
10
Let p = -416 + 423. What is the common denominator of 101/36 + 1/(-2) and -2 - p/((-315)/340)?
36
Suppose -p + d + 6 = 0, -p - 3*d - 6 = 2*p. Let y be (258/8)/((-5)/(-40)*p). Suppose 8*i = 11*i - y. What is the lowest common multiple of 11 and i?
473
Let q(t) be the first der