15204
What is the common denominator of 48/4133 and (-20)/70 - (1143/42 - (-8)/(-2))?
8266
Let o be -3*3/(-15) - (-286)/(-110). What is the smallest common multiple of 8 and (o + 5)*5*(-714)/(-45)?
952
Let p be (-1)/(4/(64/4)). Calculate the common denominator of -63/500 and 3 + p - (-1 - (-226)/(-20)).
500
Suppose -33*f + 28*f - 98055 = 0. Let z = f - -2118043/108. Calculate the common denominator of z and 57/2.
108
Let k(p) = -p**2 + 8*p - 1. Let b(m) = -12*m + 2. Let w be b(-4). Suppose w = 9*x - 4*x. Calculate the least common multiple of k(7) and x.
30
Let o be 4253/(-3)*72/(-40). Let q = o + -1632807/640. Find the common denominator of q and -79/16.
128
Calculate the common denominator of 274929/79605 + 10/(-3) - 4/58 and -44/219.
66795
Let p = -277759/3 + 135547841/1464. Let q = p + -7/61. Let w = 3268 - 12993/4. Find the common denominator of q and w.
8
Let q = 265 - 385. Let c = q - -117. Calculate the common denominator of 75/14 and (5/c)/((-42)/(-693)).
14
Let d = 16/10861 + -161111/87246413. Let i = 1052287/96396 - d. What is the common denominator of 121/24 and i?
24
Let j = -34 - -50. Let i = 441 + -312. Suppose 3*q + 2*s = -s + i, -4*q - 3*s = -169. What is the smallest common multiple of q and j?
80
Suppose 6*n = -5208 + 11220. Calculate the least common multiple of 20 and n.
10020
Let b(y) = -y**2 + 30*y - 99. Let h be b(26). Suppose h*j = 11*j - 36. What is the lowest common multiple of 54 and j?
54
Let v = -52619 - -45673267/868. Calculate the common denominator of 95/294 and v.
18228
Suppose -6*k + 2*k + 176 = 0. Calculate the least common multiple of k and (-36)/10*(-45)/27.
132
Suppose -4*i - 2*n + 210 = 0, 6*n - n = -5. Let j = 134 + i. What is the smallest common multiple of j and 85?
935
Let a(j) = j**3 + 10*j**2 - 11*j + 4. Let c be a(-11). Suppose 2*u - 3 = u, c*u = -2*h - 212. What is the common denominator of -3/2 and (300/h)/3*2 + -1?
14
Suppose 2*t - 7920 = -13*t - 30*t. Calculate the lowest common multiple of 32 and t.
352
Let c = -805/48 + 65/4. Calculate the common denominator of c and 41/732.
2928
Let u(o) = o**3 - 22*o**2 + 22*o + 9. Calculate the least common multiple of 340 and u(21).
1020
Let t(d) be the third derivative of 4*d**6/15 + d**5/60 - d**2. Let a = -437166 - -437181. Calculate the least common multiple of a and t(1).
165
Find the common denominator of 106/(-32)*1 + -1 and 55/((-2970)/(-456))*15/4*(-3)/604.
2416
What is the common denominator of 2506/(-1804)*-1 - ((-6783)/627 + 11) and -3/902?
902
Calculate the common denominator of -143/900 and ((-18)/(-315))/((-2772)/60417).
9900
Suppose -4*k - 22 = -3*l, -4 + 0 = -l - 2*k. Suppose -4 = 7*h - 8*h. Calculate the least common multiple of l and h.
12
Let l(z) = -z**3 + 11. Let g be l(0). Suppose g*i = 4 + 7. Calculate the common denominator of ((-36)/(-10) + -1)/i and -73/32.
160
Let q = 97 + -289. Let s = -120 - q. Suppose 2*h = 3*h - 1, -5*h + 65 = 5*p. Calculate the smallest common multiple of p and s.
72
What is the lowest common multiple of (-4680*1)/(-13) - (32/(-2))/(-4) and 76?
6764
Find the common denominator of 0 + 6 + 2/(-13) + (-942999)/161616 and 115/1036.
4144
Suppose 3*r - x - 38 - 126 = 0, -5*x = -r + 64. Calculate the lowest common multiple of 639 and r.
3834
Let n = -166891701 + 6676561103/40. Let i = n + -22324. What is the common denominator of -109/10 and i?
40
Calculate the common denominator of -107/110 and ((-7811)/(-369380))/(-2*5/(-25)).
10120
Suppose 16*j = -70*j + 2236. What is the lowest common multiple of j and 4?
52
Let t(y) = 3*y**2 + 881*y - 1766. Calculate the least common multiple of t(2) and 56/(2 + 0)*3.
168
Let f(q) = q**3 - 2*q**2 + 38. Let h be (0 - 0 - 1)*50/25. What is the least common multiple of -3 + (-5)/(-2)*-5*h and f(0)?
418
Let k(t) = -27*t + 216. Let v be k(8). Suppose -10*n + 12*n = 2*q + 6, -2*n + 5*q + 3 = v. Calculate the least common multiple of n and 56.
56
Let b = -84971 - -10196333/120. What is the common denominator of b and 9/280?
840
Find the common denominator of 3/44 and 4 - ((-8)/4620)/(-4 + 43295/10825).
924
Suppose 0 = -q - 8*v + 3*v + 12, 0 = -2*q - 5*v + 14. Suppose -5*s - 10 = j, q = s + 1. Let p = j + 24. Calculate the smallest common multiple of 4 and p.
36
Let s = 37 + 481. What is the least common multiple of 63 and s?
4662
Let n = -88 - -86. Let q be (-1)/2 + 1255/n + 5. Find the common denominator of (q/(-56) - 2) + (-2)/(-4) and -79/10.
40
Let p be 41077*2/56 + 6/24. Let b = 1470 - p. Let k = 8099/4 - 2012. Calculate the common denominator of k and b.
28
Let d(h) = -57*h + 54. Let g be d(10). What is the smallest common multiple of 38/247 + g/(-26) and 12?
60
Let h = -6200 - -272711/44. What is the common denominator of h and -7 + (5/20 - (-44)/9)?
396
Let a = -19094 - -22782. Calculate the lowest common multiple of a and 5071.
40568
What is the common denominator of -3 + (1135/110 - 9) and 6/265*(-2635)/68?
1166
Suppose -2*b + 2*c = -18, -4*b = -0*b - 5*c - 40. Let g be ((-28)/(-5))/(8/20). Calculate the least common multiple of b and ((-3)/(-7) - 34/g) + 5.
15
Calculate the common denominator of (-88)/968 - (-1503)/8910 and 646/420 + (-1)/(-3).
630
Suppose 58*k = 21*k - 82*k + 1904. Calculate the least common multiple of k and 338.
2704
Let c be 4*-1 + -3 + 12. Suppose 27 - 2 = c*a. Suppose 5*l - 4*k - 82 = 0, 3*k + 67 = a*l - 17. Calculate the least common multiple of l and 18.
18
Let d = -171 - -243. Suppose -2*a - 142 = -146. Suppose 0*k = -2*k - a*b + 16, -4*k = -4*b - d. Calculate the least common multiple of k and 8.
104
Let z = -1547 - -1587. What is the lowest common multiple of z and 44?
440
Let n = 39121 + -39120. Let y(v) = 2*v**2 + v - 4. Calculate the lowest common multiple of n and y(-5).
41
Let m be -7 + 6 + -3 - 1*-487. Suppose m = 5*f - 3*s, -f + 8 = -s - 89. Find the common denominator of (1 + 1/2)*26/f and 67/32.
32
Let f(o) be the second derivative of -3*o**5/20 - o**4/12 - 2*o**3/3 + o**2/2 + 37*o. Let g be f(2). What is the least common multiple of 27 and (-180)/g*28/6?
216
Let k(m) = 14*m + 3. Calculate the least common multiple of k(3) and (3135/(-114))/(30/(-60)).
495
Suppose -2*c - 5*k - 67 = 392, c - 2*k = -216. What is the least common multiple of 8/3*(-7)/56*c and 10?
370
Let i(g) = -23*g + 76. Let u be i(-22). Let o = u + -8693/15. Calculate the common denominator of o and 2970/525 - (0 + 6).
105
Let d = -1158 + 8072/7. Find the common denominator of d and 36/23.
161
Let g = -22728 + 3681811/162. Calculate the common denominator of g and -53/144.
1296
Let s = -61 - -103. Let v = s + -36. Suppose -7*w + 92 = -6. Calculate the smallest common multiple of w and v.
42
Calculate the smallest common multiple of 270 - 1*-1*(-21)/(-294)*0 and 15.
270
Let z be ((-7)/665)/(-6 + 1673945/279065). Let y = z + -2/1691. What is the common denominator of y and 53/7?
35
Let u = -70217 - -174138153/2480. Find the common denominator of u and 13/240.
7440
Let c = -8/131 + 1601/2620. Let h(w) = -2*w**3 + 31*w**2 - 19*w + 59. Let l be h(15). Find the common denominator of l + -5 - 1696/128 and c.
20
Suppose -17*o - 9 = -43. Let g be 5254/32*o/(-329) + 1. Let n = 33199/15792 + g. What is the common denominator of n and -107/40?
240
Suppose 2*r + 44 - 302 = -2*a, 2*a = -4*r + 244. Let s = 20 - 17. Calculate the least common multiple of a and s.
408
Suppose 5*g + 0 = -15. What is the lowest common multiple of 4 and (-786)/(-24) + g/4?
32
Suppose -2*u + 5*r + 47 = 0, r - 1 = -2. What is the smallest common multiple of u and 14?
42
Suppose 6*n - 144 = -228. What is the smallest common multiple of 800 and (-4 + 1)*(n/6 + -1)?
800
Suppose -3*l - 123*p = -119*p - 9, -2*p - 6 = -2*l. Let s = -130 - -74. Calculate the common denominator of ((-51)/s - 1)/(l/36) and -19/22.
154
Suppose -216*u + 267*u = 338681 + 637306. Calculate the least common multiple of 12 and u.
76548
Let h = 44 - 43. Let w be h/(-4) - 18411/1260. Let n = 79/21 + w. What is the common denominator of n and 58/9?
90
Let q(l) = 6*l. Let a be q(7). Suppose 0*w = -7*w + 11613. Calculate the common denominator of w/a*1/2 and -35/19.
76
Let y = -254 + 2370. Suppose 2228 = 2*s + y. Calculate the lowest common multiple of s and 6.
168
Suppose 2*w + 200 = 3*p + p, 116 = 2*p + 3*w. Let z = p + -31. Calculate