48 - 93 + 16*n. What is the smallest common multiple of x(7) and 18?
126
Suppose 8*g - 21 = 235. Suppose -q + 2*q = 5*r - g, -18 = -3*r + q. Calculate the least common multiple of 3 and r.
21
Let r(q) = -2*q + 6. Let z be r(4). Find the common denominator of (-605)/(-110) - (-5)/1 and (z - -1) + 62/20.
10
Let s = 298271/3410640 - -2/42633. Find the common denominator of s and -53/625.
10000
What is the common denominator of 221*5/1325 - 4/10 and -97/64?
3392
Suppose -32 = 10*i - 14*i. Suppose i*y = y + 1694. What is the smallest common multiple of y and 9?
2178
Let q = 0 - -7. Suppose 2*x - q = 15. What is the smallest common multiple of (18/4 + -4)/(-5 - 77/(-14)) and x?
11
Suppose 33*h - 134 = 485 + 107. What is the lowest common multiple of (87/15 - 4) + 3/15 and h?
22
Let v(z) = -4*z**3 + z**2 - 1. Let i be v(1). What is the smallest common multiple of (-172)/(-42) + i/42 and 60?
60
Let h(g) = g**2 - 22*g - 41. Let n be h(24). Suppose 37*a + 510 = n*a. What is the common denominator of a and (-303)/(-18) - 2/(-6)?
6
What is the common denominator of -21/11 and 69/(-4)*(-168)/106344?
9284
Let g be 5/(-15) - 968/(-6). Suppose 5*j + 202 = l, -3*l = -4*j - 2*l - g. Let m = j + 105/2. What is the common denominator of m and -63/8?
8
Find the common denominator of -6*(-1)/2 - (-27)/(-10) and 0 + ((-1261)/(-14))/(-13).
70
Suppose 0 = -13*r + 4*r - 15543. Calculate the common denominator of (-1)/(-3) - (-327)/(-72) and r/(-330) + 1/2.
120
What is the common denominator of 274261/378870 - (-1)/(-10)*8 and 137/2076?
2076
Suppose -14*y = 105 - 497. Let g(i) = -8*i + 236. Calculate the least common multiple of g(y) and 28.
84
Let v = -2228 - -11104/5. Let y = v - -703/90. Calculate the common denominator of 83/20 + (-2 - 0) and y.
180
Find the common denominator of -39/4126 and (-1276)/48 + 8 - 2/8.
12378
Let b be 2/(-4) - (-96)/(-64). Calculate the common denominator of -37/12 and ((-81)/(-432))/(b - 398/(-216)).
204
Let w be 29 - (-4 - -6) - 9. Suppose 4*u = -h + 59, 7*h - 10*h - w = -u. Find the common denominator of u and (-3)/3 - (-7)/(-4).
4
Find the common denominator of 125/(-1050)*3/(-5) + 45616/(-699776) and 31/36.
56232
Suppose 0 = -276*q - 20823 + 51735. Calculate the least common multiple of 2044 and q.
8176
Let p = 3291 + -3231. Calculate the smallest common multiple of 504 and p.
2520
What is the common denominator of 1*(-2)/384*21090/(-380) and 77/416?
1664
Let f be (10975/(-10))/((-96)/1542). Let m = 17630 - f. Find the common denominator of m and -89/6.
96
Suppose 24 = 52*x - 46*x. What is the common denominator of x/(-14) + (-1173)/(-210) and -45/11?
110
Let w = -78 - -83. Suppose 7*o - 6*o - v = 2856, -11424 = -4*o - w*v. Calculate the common denominator of 65/8 and 2/(-7) + (-822)/o.
136
Let z(f) = f**3 + 5*f**2 - f + 15. Let r = -14 + 9. Calculate the smallest common multiple of 8 and z(r).
40
Let g be 5 + (0 - 491) + 10/2. Let j = g - -482. Let i(u) = u**3 - 4*u**2 - 5. What is the lowest common multiple of j and i(5)?
20
Let r = 30/199 + -7943/30248. What is the common denominator of r and -5/24?
456
Let h = -2917 - -61277/21. Let d = -359925/4186 + 7775/91. What is the common denominator of d and h?
966
Suppose -159 = -3*i - 2*d - 41, -2*i + d = -74. Find the common denominator of (-4 + i)/((-9)/((-135)/(-228))) and -1/18.
342
Let v = -1019/3 + 359. Let c be (-3)/(-41)*40/(-180). Let k = c + 1732/615. What is the common denominator of k and v?
15
Let j = 34051/8 + -4244. Find the common denominator of j and (-1*3/20)/((-36)/25).
48
Suppose -4*n + 21697 = -3*f, -27160 = -5*n - 4*f - 0*f. Suppose 18*w - 14*w - n = 0. Let s = -4139/3 + w. What is the common denominator of 79/18 and s?
18
Suppose -1387 = -21*b - 211. Suppose 7*z - 429 = -37. What is the least common multiple of z and b?
56
Suppose 4*p + 23 = -9. Calculate the lowest common multiple of p/4 - -8 - 5 and 51.
51
Suppose 78 = 5*b + d + 2, -5*d - 4 = b. Suppose -12*x + b = -10*x. Let h(a) = 22*a**2 + 10*a + 6. What is the least common multiple of h(3) and x?
936
Calculate the common denominator of 127/2380 and ((-246376)/(-24480))/23 - (-11)/(-22).
21420
Let t(y) = -7*y**2 - 4*y - 7. Let b(a) = -4*a**2 - 2*a - 4. Let m(r) = 5*b(r) - 3*t(r). Calculate the lowest common multiple of 150 and m(-3).
300
Let j = 131 - 127. Suppose -2*n = 3*x - 11, -2*n = -j*x + 15 - 5. What is the least common multiple of x and (2/4)/(2/68)?
51
Let z be (8/60860)/((-24)/1628045). Let v = 2/9129 + z. What is the common denominator of 132/462 - (922/56)/(-1) and v?
12
Let v(w) = -748*w - 4884. Calculate the smallest common multiple of 990 and v(-8).
9900
Let o(b) = -37*b - 271. Let c be o(-7). Find the common denominator of c/(-1*2) - 5304/576 and 43/34.
408
Let u(d) be the first derivative of -2*d**2 + 10*d + 3. Let y be u(2). Suppose y*j = -2*g + 52, 31 = j - 2*g + 5. What is the least common multiple of j and 14?
182
Let j = 1418 - 13219/9. Let l = j + 50. Calculate the common denominator of 2 - (-79)/(-9) - -1 and l.
9
Let q(x) = -x**3 - 9*x**2 + 24*x + 156. Let v be -2 + 140/(2 - -2). Suppose v = t + 9. Calculate the least common multiple of q(-10) and t.
48
Suppose 15*b + 21926 = 51*b - 11590. Calculate the least common multiple of b and 399.
2793
Let p(t) = t**3. Let m(k) = 7*k**3 + 8*k**2 - 15*k + 7. Let r(n) = -m(n) + 6*p(n). Let g be r(-11). What is the common denominator of (4 - g/48)*-10 and -97/18?
72
Let g = -3 - -40. Let o = g + -13. Suppose 0 = 3*k - j - 32, -5*k + 3*j + 80 = o. What is the smallest common multiple of 10 and k?
10
Let g = -47 - -47. Let l be -1 - ((-3 - g) + 4). Find the common denominator of -11/6 and (1/l)/(120/216).
30
Let r = -6160 - -6200. What is the least common multiple of 510/9 - (-2)/(-3) and r?
280
Let t = 150 - 134. Suppose -2 = -g, 0*a - 5*g = -4*a + 26. Suppose 5*k - 94 = -3*z, -a + 25 = -4*k. Calculate the lowest common multiple of z and t.
304
Let x = -17585451/10 - -1760604. Suppose -2*y - 317 = 4*b + 3791, -4*y + b - 8207 = 0. Let i = x + y. Find the common denominator of -39/70 and i.
70
Suppose 3*w + s - 5*s = 19, -2*w + 11 = -s. Suppose 3*j = w*h + 5 - 3, -2*j = -h + 1. Let z = j - -3. What is the least common multiple of z and 8?
8
Find the common denominator of 13/42 and (-4)/54 + (601/(-324) - -2).
2268
Suppose -3105 = -18*z + 398 + 1681. What is the least common multiple of 1440 and z?
1440
Let s = 14713/8 - 1847. Calculate the common denominator of s and (-770)/(-84) + (-2)/(-8).
24
Suppose -1436*t + 19716 = -465*t + 8064. What is the smallest common multiple of 622 and t?
3732
Let h = -128099/115855636 + -2/129883. Find the common denominator of h and -61/892.
892
Let m be (-26)/2 + -8 + 16. What is the common denominator of 17/(-35)*(-3)/(12/m) and 5/42?
84
Let y = 87 + -95. What is the common denominator of (320/y)/8 - 162/(-35) and 17/8?
280
Let o = -2 + 60. Let b = 74 - o. What is the lowest common multiple of 10 and b?
80
Let g(r) = -84*r**2 - 4*r - 2. Let y be g(-3). Let o(b) = -2*b**2 - b + 166. Let m be o(-12). Find the common denominator of y/m - 12/66 and 57/10.
10
Suppose -10*c + 13*c + 84 = 0. Let k be c/10*3542/(-8). Let f = k - 1237. What is the common denominator of f and 33/8?
40
Let r = 36 - 12. Suppose 0 = -0*c - c - s + 6, -r = c - 5*s. What is the lowest common multiple of 6 and c?
6
Suppose 15*z = -16*z + 1312 + 83. Suppose 12 = y - 63. What is the least common multiple of z and y?
225
Let w(h) = 3*h**2 - 114*h - 742. Calculate the lowest common multiple of 2 and w(64).
4250
Suppose -8*y = -40*y - 64. Let r(k) = 38*k**2 + 11*k + 20. What is the smallest common multiple of r(y) and 42?
1050
Let q = -213467/8 + 26683. What is the common denominator of 43/8292 and q?
16584
Suppose -4*t = -3311 + 431. Calculate the smallest common multiple of t and 27.
2160
Let u be (-25)/100 - 154123/3612. Let f = 1908/43 + u. Find the common denominator of f and -93/4.
84
Let g = 7432249/870 + -8543. Find the common denominator of -149/6 and g.
870
Let c = 8859/620 + -398/31. Let b = -611905/24 + 25501. Find the common denominator of c and b.
120
Suppose -3*t - 35 = -4*q, 56 + 13 = -5*t - 4*q. Let w = t - -7. Calculate the least common multiple of 7 and w - -12 - (1 + 1).
28
Suppose 0 = -2*o + h - 4, 9 - 3 = -3*o + 4*h. Find the