 Find the common denominator of -8 and (-16)/j + (-4)/(-1) - -4.
9
Calculate the least common multiple of 116 and (2*406/12)/(-36 - 27258/(-756)).
2436
Let m be (3 + -2*1)*-1. Let f(u) = 134*u**3 + u + u**2 + 1 - 166*u**3 + 0. What is the smallest common multiple of 6 and f(m)?
66
Suppose 5*o - 19 = 4*o. Let x = 31 - o. Calculate the least common multiple of 1/15 + 30628/930 and x.
132
Suppose 0 = 3*d + 2*d - 420. Let o = 2231 + -2211. Calculate the least common multiple of o and d.
420
Let a = -14098/202761 + 2/1733. What is the common denominator of -7/312 and a?
936
Suppose 6*l - 3*l - 246 = 2*r, 4*l = 4*r + 324. Let a = l - 72. What is the lowest common multiple of a and 9 + (-1 - (0 + 0))?
24
Suppose 0 = 16*f + 3496 - 792. Let y = -165 - f. What is the lowest common multiple of 53 and y?
212
Let r be 188/(-141) + 17/(-3). Calculate the common denominator of 41/14 and ((-452)/40 - -8)*2/r.
70
Let s = -134 + 229. Let r = -478 - -508. What is the lowest common multiple of r and s?
570
Let c be 0 + (4 - 0) - (77 + 0). Let k = -87 - c. What is the least common multiple of 52/6 + (k/(-6))/7 and 27?
27
Let c be 62626/(-7) + (96/(-28) - -4). Calculate the lowest common multiple of 6/(-39) - c/182 and 63.
441
Find the common denominator of 71/384 and 6/(-54) + 7 + 2817/(-324).
1152
Let f be 9/2*(-13054)/(-549). Calculate the common denominator of -61/70 and f/(-42) + -41 + 43.
210
Suppose 4*a - 5*n = 224, -4*a + 224 = 5*n - 6*n. Find the common denominator of 457/a + 36/(-96) and 71/10.
70
Suppose 2*v - 11 + 0 = -u, 3*v = u + 9. Suppose 11*y - v*y = -847. Let a = -103 - y. Calculate the least common multiple of a and 12.
36
Suppose w = 5*u - 16, -4*u - 4 = -4*w - u. Let b(l) = 2*l**2 + 5*l - 2. Calculate the least common multiple of b(-4) and (-1625)/(-65) - (1 + w*1).
20
Let u = 7028/345 - 352/23. What is the common denominator of 71/15 and u?
15
Let f be -1 - (-77)/56 - 742/16. Let x(p) = -p**2 - 2*p - 2. Let n be x(-2). Calculate the lowest common multiple of f/(-6) + n/(-6) and 9.
72
Let s = -466/185 + 82689/32930. Find the common denominator of -3/4 and s.
1780
Let l(x) = -4*x**2 + 15*x + 5. Let t(v) = -2*v + 31. Suppose 2*p - 4*p - 4*q = 0, 5*p - 32 = -2*q. What is the least common multiple of l(4) and t(p)?
15
Let x = -75554/9 - -81337/18. Let q = 3893 + x. Let h = -7/178 - -3430/89. Find the common denominator of h and q.
6
Suppose -4*b = 3*v - 221 - 1842, 1521 = 3*b - 3*v. Calculate the smallest common multiple of 640 and b.
2560
Let q = -88 - -159. Let k = 71 - q. What is the least common multiple of 10 - ((-5)/(-5) - (k + 1)) and 8?
40
Suppose -4503*g + 4498*g = 4*a - 212, g + 3*a - 49 = 0. Calculate the smallest common multiple of g and 344.
1720
Let a(m) = -m**3 + 8*m**2 - 6*m - 6. Let t be a(7). Let n be 142*t/(-6)*18. Let g = -9267/22 - n. Find the common denominator of g and -87/86.
946
Let y = 1449123/64 - 22641. Calculate the common denominator of y and 103/864.
1728
Let j(g) = 26*g**3 - 4*g + 5. Let z be j(1). What is the lowest common multiple of 40 and z/(-36) + (-70)/(-8)?
40
Suppose -8 = -9*j + 11*j. What is the common denominator of (-23)/(-60) + j/(-20) and 43/18?
36
Let t = -1218 - -1230. Calculate the lowest common multiple of t and 444.
444
Let j(s) = 3*s + 10. Suppose -104 - 13 = 9*k. Let q(f) = f**3 + 12*f**2 - 14*f - 11. Let z be q(k). Calculate the lowest common multiple of 11 and j(z).
176
Let s(i) = 760*i - 1300. Calculate the lowest common multiple of 4 and s(7).
4020
Let m be (204/170)/((-2)/115). Let y be ((-8)/4)/((-1)/(-5)). Find the common denominator of ((-35)/y - 3)/((-18)/m) and 1/60.
60
Suppose 14857 - 13973 = 4*i. Calculate the least common multiple of 26 and i.
442
Let y = 2105664 - 2147777099/1020. What is the common denominator of y and 2/11?
11220
Let t(q) = -3*q + 12. Calculate the smallest common multiple of (4/2 - 40/6)*-9 and t(-8).
252
Let d = 124 - 96. Calculate the common denominator of 101/48 and (110/560)/(2*(-12)/d).
48
Suppose 2*c - 5925 = -2001. Let k = c + -611. Let m = k + -21607/16. What is the common denominator of 77/16 and m?
16
Let g = -7/86 - -2787/430. Calculate the common denominator of (-4)/(-14) + 1448/(-1540) and g.
55
What is the common denominator of 87/38 and 1/9*38625/250?
114
Suppose -15*d = 1028 + 5017. Let n = 408 + d. Suppose 0 = -0*f - f + 2. Calculate the lowest common multiple of f and n.
10
Suppose -5*h = 5*v - 95, -6*h = 2*v - 2*h - 32. What is the smallest common multiple of v and ((-1272)/(-30))/((-4)/(-20))?
2332
Suppose -r = -3*r - 4*u + 22, -5*r + 4*u = -13. Suppose -r - 5 = -5*b. What is the common denominator of -77/2 and b + 37 - (-7)/(-14)?
2
Let s = -117795769/852 + 138258. What is the common denominator of s and -37/710?
4260
Let x(y) = y**3 - 13*y**2 + 20*y + 16. Let t be x(11). What is the common denominator of -29/18 and (-326)/(-216) + t/27?
108
Let w = 7844 - 94193/12. Let y be -4 - (2776900/128 - (-2)/4). Let l = y + 21702. Calculate the common denominator of w and l.
96
Suppose -n + 77 - 23 = 0. What is the least common multiple of n and (-4)/3*(-13)/((-338)/(-585))?
270
Let b be (0 - 1/(-3)) + (-1457200)/(-960). Let o = 1532 - b. What is the common denominator of 73/22 and o?
44
Suppose 30 - 24 = p. Find the common denominator of 109/18 and (-40)/(-24)*p/684.
342
Suppose 8*v - 685 = 1419. Let z = -245 + v. What is the smallest common multiple of (14/4)/((-3)/(-36)) and z?
126
What is the common denominator of -53/9 and (-6238)/14928 - 120/(-320)?
2799
Let q = -119 - -901. Calculate the common denominator of 18/(-45) + (0 - q/120) and -56/9.
36
Let u(b) = 2*b**2 - 7*b + 2. Let x be u(5). Let s be (70/8)/(-7) + (-25)/(-20). Suppose s = -3*w - x + 98. Calculate the least common multiple of 36 and w.
108
Suppose -36 = -2*b + 4*m, b + 2*m = -m - 7. Suppose 1656*c - 12 = 1650*c. Calculate the smallest common multiple of c and b.
8
Let y(p) = 6*p**2 + 3*p - 11. Let z(d) = -5*d**2 - 3*d + 10. Let n(o) = 6*y(o) + 7*z(o). Suppose 9 = 4*c - 3. What is the lowest common multiple of n(c) and 4?
4
Let y(s) = 35*s - 191. Suppose -22*g = -18*g + 12, -2*n = -2*g - 26. What is the least common multiple of n and y(7)?
270
Let h be (0*(-1)/(-4))/(-8 - -3). Suppose h = -4*z - 57 + 97. What is the least common multiple of 11 and z?
110
Let w be (-3 - 4 - -4) + 3. Suppose w = -3*v + 2 - 8. Calculate the least common multiple of 18 and 2720/153 + v/(-9).
18
Suppose -5*o + 1696 - 6 = 5*k, 5*k + 662 = 2*o. What is the least common multiple of o and (84/(-9)*(-990)/(-693) + 12)*(-14 + 2)?
336
Suppose 7932 = 6*o - 4*s, 5*o - 3021 = 5*s + 3574. Calculate the smallest common multiple of o and 96.
7968
Let d = 14/29 - 998/145. Let n be 2 - ((2 - 48335/45) + 2). Let g = 1070 - n. What is the common denominator of g and d?
45
Let c(j) = -1 + 6 - 5*j + 4 + 2*j. Let y be c(3). Suppose -x - 3*p = y, x + x + 4*p - 6 = 0. What is the smallest common multiple of 10 and x?
90
Let i(k) = -2*k**3 + 12*k**2 + 25*k - 79. Let b be i(7). Let q be (24/(-15))/((-2)/(-30)). Let y = b - q. What is the smallest common multiple of 16 and y?
176
Suppose 700*g + 696*g - 1407*g + 19316 = 0. What is the lowest common multiple of g and 24?
10536
Let x = -8376118858/4525 + 1851076. What is the common denominator of 22/1629 and x?
40725
Suppose 0*m - 32 = -4*m. Calculate the common denominator of (-161)/(-30) - m/20 and (22/(-33))/(266/(-42)) + 2770/(-684).
90
Let w be 8/1*(-1337)/(-588). Let a = 19667/1050 - w. Find the common denominator of 1/25 and a.
50
Let o be (4/10)/(2/20). Find the common denominator of (o/(-11))/((-6)/31) and -14*(-7)/(-48)*(-1630)/(-1141).
132
Suppose n - 69 = 3*t, -17*n + 5*t + 215 = -12*n. What is the smallest common multiple of (1 - 2)*666/(-2) and n?
3330
Let l be 45/75*(1 - -4). Suppose 2*h + 2*h + 2*x = 8, 5 = -h + l*x. What is the common denominator of 65/35 - (h - 5) and -81/10?
70
Let p(k) = k**2 + 59*k + 1522. What is the least common multiple of 531 and p(-37)?
2124
Let g be 29 + -24 + (-606)/(-4). Let d = g - 518/3. Find the common denominator of d and 7/144.
144
Let a be 54/4 - 17/(-34). Suppose 13*l + 154 = a*l. Suppose -6*h + l = 46. What is the least common multiple of h and 8?
72
What is the common denominator of -77/738 and (56 - 125)*8/36?
738
Suppose