 = h. Calculate the smallest common multiple of h and b.
12
Find the common denominator of 77/820 and 10/24*9/(171/190).
2460
Let k be ((-41)/(-2))/((-3)/12). Let b = 78 + k. Calculate the lowest common multiple of 11 and (-1)/b + -1 + 140/16.
88
Suppose 17*t = 14*t + 5*i + 4290, -4*i = -3*t + 4287. Calculate the smallest common multiple of t and 3.
1425
Let j = 25 + -15. What is the common denominator of (-86)/18 + (-396)/(-33) and (-175)/(-196)*4/j?
126
Suppose -5*a + 21 = -4*c + 3*c, 4*c = -5*a - 9. Let y(s) = s**2 + 5*s - 3. What is the least common multiple of y(c) and 3 + (-9 + 10)*(-27 + 29)?
15
Let z = 58 + -54. Suppose 3*k + z*x = 20, -3*k = -x + 6 - 31. Calculate the least common multiple of 120 and k.
120
Let w be (-5)/((-3)/(-3)) + 8090312/(-228). Let z = 35490 + w. Calculate the common denominator of z and 10/9.
171
Let i = -2131958807/3714730 + 88957/155. Find the common denominator of i and 71/20.
239660
Suppose -o = -l + 4*o + 7, 5*l = o - 13. Let m = 2555 + -15389/6. Calculate the common denominator of (-2)/l*2/(-40) and m.
30
Find the common denominator of -11*(-5 + (-138)/(-27)) - (-96)/112 and 4/5*9/42.
315
Calculate the common denominator of (-10 + (-51)/(-5))/((-174)/475) and -37/174.
174
Let q = 39740 + -39685. Calculate the lowest common multiple of 1815 and q.
1815
Calculate the least common multiple of 4/(-28)*0 + 537 + -7 and 371.
3710
Let n be ((-39)/(-15) + -3)*-15. Suppose 0 = n*s - 51 - 15. What is the common denominator of s and (-97)/(0 + (-10)/5)?
2
Suppose 2*f - 4*m + 16 = 0, 3*f + 3*m = 3 + 9. Suppose 15*y - 14*y + 7 = -4*n, f = 4*y + n - 47. Find the common denominator of 91/24 and y.
24
Let j be ((-9)/(81/15))/(-5). Let q = -17698/3633 + -14/173. Let t = q - j. What is the common denominator of -49/6 and t?
42
Let h be (0 + (-16)/(-6))*-3. Let p be h*(-4 + 3)*-1. Calculate the least common multiple of 4/2 - (p + 7) and 3.
3
Suppose -30 = -26*f + 24*f + 2*t, -4*t = -5*f + 75. Let u = f + 153. Calculate the least common multiple of u and 60.
840
Let y(u) = -u**3 - 5. Let n be y(0). Find the common denominator of (-2)/4 + 21/n and (4/72*-3)/(-13 + 23664/1819).
30
Let m be 7 - (4 - -343 - 4). Let y = -236 - m. Calculate the least common multiple of y and 20.
100
Let q = -5 + 42. Let s(j) = 3*j**2 + 15*j + 13. Let m be s(-6). Let t = q - m. What is the smallest common multiple of t and 76?
228
Suppose -5*n + 52 = 150*h - 146*h, 0 = h - 5*n + 12. Let z(b) = b + 7*b**2 + 0 + 0 - 1. What is the smallest common multiple of z(1) and h?
56
Find the common denominator of (-25)/208800*17036 + 3/((-9)/(-6)) and 139/12.
2088
Let r be (-8 + -1)*(-9 + (-56)/(-7)). Suppose z + 2*i = -r + 27, 0 = -5*i. What is the smallest common multiple of z and 10?
90
What is the least common multiple of (3 + (-25 - -10) + 9)*(1 - 12) and (6*2)/((-10)/(-25))?
330
Calculate the common denominator of (-9*(-14)/(-7560))/((-107)/63) and -49/48.
25680
Suppose 2*d + 5*n - 11 = 16, d + 4*n = 21. Calculate the common denominator of (d/(-3))/(162/(-1080)) and -79/24.
72
Suppose 19824 = -3102*i + 3110*i. What is the lowest common multiple of i and 2?
2478
Let j = 287168 - 34462433/120. Let t = j + 112/5. Let b = 22910/9 + -183691/72. Find the common denominator of t and b.
24
Suppose 12*a + 31*a - 18523 = 22241. Calculate the least common multiple of 68 and a.
16116
Suppose -8*j = 848 - 16024. What is the lowest common multiple of 2 and j?
3794
Let x be (-1 - -1) + 66/843. Let p = -33175/3372 - x. What is the common denominator of 19/(-9) - (-6)/24 and p?
36
Suppose -365 = -54*d + 2551. What is the smallest common multiple of d and 186?
1674
Let r = 7871083/962 + -8182. Let a = -59653/8658 - r. What is the common denominator of -2 + (-724)/144 + (-1)/4 and a?
18
Suppose h - 7 = 3. Let r be (840/105)/(2/7). Suppose 3*j + d - 16 = -d, -d = 4*j - r. What is the smallest common multiple of j and h?
40
Let u = 78982 - 1263613/16. Let k = 48647/26180 - 443/220. Find the common denominator of k and u.
1904
Suppose h - v = 169, -3*h - 5*v + 145 + 402 = 0. What is the smallest common multiple of 551 and h?
3306
Let n = -3158342/7 + 448666. Let w = n + 2530. Let x = 1/3448 + -52583/3448. Find the common denominator of x and w.
28
Suppose 4*o + 2*l = -26, -6*l = -5*o - l + 5. Calculate the common denominator of (3/((-48)/(-40)))/((-2)/(-10)) and o - 9/48 - -1.
16
What is the common denominator of 11/104 and 8 + 408/(-54) - (-78)/(-216)?
312
Calculate the common denominator of 19/759 and (0 + 1*-16)*(-266)/1140.
3795
Let c = 30 + -36. What is the common denominator of (2 + c)/(-20) - 99/10 and (-1 - 0 - 13) + (-2)/6?
30
Let m be (-36)/(-21) + (-8)/(-28). Find the common denominator of (m/(-192))/((-2)/((-24)/(-9))) and (111/18)/((-7)/9).
504
Let h = -4/4155 - -278897/531840. Suppose 95*w = 89*w + 12. What is the common denominator of (w/((-8)/15))/((-48)/76) and h?
128
Let u = 35213/78 + -5878/13. Find the common denominator of u and -101/52.
156
Let h(y) = y**2 + y + 1. Let j(l) = -32*l - 780. What is the least common multiple of j(-25) and h(3)?
260
What is the common denominator of 55/6 and 38/16*((-15674)/1309 - -12)?
924
Suppose -2*g + 13 = n, 5 = 7*g - 6*g - n. Calculate the common denominator of 10*1396/(-2416) + g and -91/2.
302
Suppose -55057 = -53*d - 11650. Calculate the smallest common multiple of d and 35.
4095
Suppose -5*v - a = 11, a = 5*v - 3*v + 10. Calculate the least common multiple of 41/(v - (-40)/12) and 6.
246
Let s = -8163 + 10263. Calculate the lowest common multiple of 24 and s.
4200
Let a = 10299 + -10209. What is the lowest common multiple of 114 and a?
1710
Suppose 5*q + 10 = 0, -2*q + 0 + 104 = -3*a. Let t = -1868/3 + 2521/4. Calculate the common denominator of t and 7*(-21)/(-49) + 226/a.
36
Let h be (-6650)/(-95) - (1 + -5). Suppose 691 + h = 17*x. What is the lowest common multiple of x and 25?
225
Let p = -334 - -4996/15. Find the common denominator of p and 4/2 - (-9)/(225/(-92)).
75
What is the common denominator of 39/25 and ((-4238)/22230)/(2/(-3))?
2850
Let d = -2/11975 - -25864/11460075. Let m = -35381/13398 - d. What is the common denominator of -39/20 and m?
140
Let w(g) = -g**3 - 162*g**2 - 157*g + 1052. What is the least common multiple of w(-161) and 629?
15096
Suppose z + 1 + 1 = 0, 0 = 4*u - z - 578. Find the common denominator of (1 + 220/u)*-3 and -55/8.
24
What is the lowest common multiple of (-30)/(-198) + 2/(-6) - (-532642)/1331 and 100?
400
Calculate the common denominator of -63/646 and (413/(-28) - -14) + 4/(544/71).
2584
Let j = 5413/44 + -123. What is the common denominator of j and ((-201)/(-96) - 2)*(-122 + 111)?
352
Suppose -9*i + 4*f - 83 = -10*i, -2*f = 4*i - 374. What is the least common multiple of i and 875?
16625
Find the common denominator of 488/132*15/(-30) and 36/(-9) + (-768)/(-165).
165
Let d(u) = 14*u**3 - u**2 + 6*u - 5. Suppose 0 = -8*q + 10*q - 4. What is the least common multiple of d(1) and q?
14
Let h = 713 - 745. Let o = 14266 + -627761/44. Find the common denominator of o and (4 - (-136)/h)*17/(-8).
352
Let a = 2215751294112/641493180647 + 8008/9701807. Let w be (-9 - -8)/(18030 + 3)*-6. Let u = w - a. What is the common denominator of -23/4 and u?
44
Let a(n) = 272*n**3 - 3*n**2 + n - 2. Let o be a(2). What is the lowest common multiple of ((-528)/112 - -3)*-7 and o/16 - 3/(-4)?
408
Suppose 0 = -3*i - o - 946, -8*i - 4*o + 298 = -9*i. Let h = i + 436. What is the smallest common multiple of 8 and h?
488
Let v = 48421 + -726266/15. Calculate the common denominator of (-1)/(-2) - (-426)/126 and v.
210
Let v(s) = -2*s**2 - 56*s - 186. What is the smallest common multiple of 624 and v(-19)?
624
Let k = -1222 - -2421. What is the least common multiple of 981 and k?
10791
Find the common denominator of (-3990)/12204 - (-11)/(-99) and 12/(-8)*(2 + 14/6).
226
Let z = -54/391 + 49523/4692. Let h = -27/7 + 55/56. Calculate the common denominator of h and z.
24
Let m = -391112358447 + 82763286171356251/211610. Let i = 38/3023 - m. Find the common denominator of i and -71/28.
140
Let m = 1633 - 1635. Let o = 9 + -4. Let t = m + o. Calculate the lowest common multiple of 9 and t.
9
Let p = 506 - 462. Calculate the least common multiple of 8 and 110/p*632/10 - 4.
616
Let y(x) = -11*x + 1