Let q(u) = u**3 - 2*u**2 - 4. Let c be q(4). Suppose -c = 6*l - 142. Let m = l - 15. Calculate the lowest common multiple of 5 and m.
20
Calculate the lowest common multiple of 192 + (-12)/((-6)/2) + -7 and 49.
1323
Let q(m) = -2*m**2 - 23*m + 47. Calculate the least common multiple of 30 and q(-13).
120
Let s = -2620/7 + 372. Suppose 260 = 5*n - n. Let x = n - 99. Calculate the common denominator of x and s.
7
Let n(t) = -t**3 + 25*t**2 + 26*t + 20. What is the least common multiple of n(26) and 30?
60
Let n be (-6)/27 - (-58)/18. Suppose v - n*v + 4 = 0. What is the smallest common multiple of (15/9 - -1)*(-9)/(-6) and v?
4
Suppose 0 = 3*j + 7489 - 20560. Let c = j - 39169/9. Let p = 1/1580 + -60047/11060. What is the common denominator of c and p?
63
Calculate the common denominator of ((-78)/360)/(3/(-35)) and -86/45.
180
Let n = -208 - -283. What is the least common multiple of 9 and n?
225
Suppose 0 = -2*t - 22 + 26. Calculate the least common multiple of 6 and (-40)/10*(-15)/t.
30
Suppose 8*a = 3*a + 15. Find the common denominator of (170/(-12))/(-3 + a - 1) and (5/7)/(0 + -1).
42
Let m = 261 + -141. Let h = 123 - m. Calculate the least common multiple of 33 and h.
33
Suppose 10*l = 9*l + 4. Suppose 3*q = l*q - 21. Suppose -4*a - q + 65 = 0. What is the smallest common multiple of a and 9?
99
Let d = -12409 - -496279/40. Find the common denominator of d and -25/8.
40
Suppose -2*s = -5*o + 22, o - 6 = s + s. Suppose -14*k + 18*k = -32. What is the common denominator of 5 and 130/k - (s - -4)?
4
Let w = 776/17941 + -3/77. Let l = w - -9085/466. What is the common denominator of (-153)/(-33)*2/(-4)*-1 and l?
22
Let j = 414 - 322. Let q(r) = -r**2 + 7*r + 10. Calculate the lowest common multiple of q(7) and j.
460
Let h = 965986/14552819 + 12/28591. What is the common denominator of h and -45/7?
3563
Suppose -x + 3023 = 3*o - 11, -3*o = 4*x - 12154. Let z = x - 36427/12. What is the common denominator of 15/16 and z?
48
Suppose 0*m = -2*m + 96. Let v(n) = -n**2 - 15*n - 44. Calculate the least common multiple of v(-6) and m.
240
Suppose -5*h = 4*z - 78, z - 63 = -4*h - 2*z. Calculate the smallest common multiple of ((-10)/(-40))/((-2)/(-24)) and (-6)/(-4) + h/36.
6
Let r be (5/1)/(3 - 2). Suppose -x + 0*x = -3, 5*d - r*x - 25 = 0. Suppose -27*o + 22*o = -20. What is the smallest common multiple of o and d?
8
Suppose 0 = 2*o + 10, -27 = -216*l + 212*l + 3*o. Calculate the least common multiple of 565 and l.
1695
Let d(z) = z + 47. What is the least common multiple of d(-19) and 28?
28
Suppose w + 60 = -4*y - 13, 4*w + 2*y = -222. Let z = w + 80. Suppose 3*x = 2*x + c, 4*c - z = -5*x. Calculate the lowest common multiple of 1 and x.
3
Let b = -186/1566280165 + 3282921692274259/275483620540860. Let j = b - 4/14657. What is the common denominator of 61/18 and j?
36
Let j be (11/2)/(-4 + 57/14). Let i(h) = 15*h**2 - h. What is the smallest common multiple of i(1) and 165/j + (-2)/14?
14
Suppose 0 = 5*l - 3*d - 119, 0*d = 4*l - 2*d - 94. Let r = -15 + l. Calculate the smallest common multiple of r and 11.
77
Calculate the common denominator of 51/55 and (-6 - 2390/(-385))/((-2)/(-4)).
385
Suppose 4*u - 2*f + 3 = -3, -5*u + 3*f = 7. Let r be -2 + (u - -2) - 728. Calculate the common denominator of 27/4 and ((-2)/5)/(8/r).
4
Suppose -65852 = 5*s + t, 4*s = -3*t - 0*t - 52686. Let y be (42/12)/((-8)/s). Let h = 5774 - y. Find the common denominator of h and 41/4.
8
Suppose 2 = -p - 0. Find the common denominator of 2178/(-189) + p/14 and 11/19.
57
Let t = -3049325122702/35 - -87166990251. Let b = t - 43418264. Let j = b + 2947. What is the common denominator of -79/6 and j?
210
Let u(k) = -k**3 - 39*k**2 + 36*k + 90. What is the smallest common multiple of u(-40) and 30?
750
Find the common denominator of -2 + 21/6 - (-152)/(-40) and -81/50.
50
Let l = -262 - -282. What is the smallest common multiple of 40 and l?
40
Let z = 2129 - 2096. Let x(r) = 3*r**2 + 4*r. Calculate the lowest common multiple of x(3) and z.
429
Suppose -2*k + 56 = 58. What is the common denominator of ((-15)/(-60))/(k/58) and ((-6)/40)/((-2)/115)?
8
What is the common denominator of -63/22 and (-152)/20 + 7 - 3/170?
374
Find the common denominator of 27/328 and 6/(-40) + 13/(-65).
1640
Let m(n) = -7*n - 94. What is the lowest common multiple of m(-16) and 108?
108
Suppose 5*x = 3*r - 31, -2*r + 2*x + 10 + 12 = 0. Suppose n + 9 - 3 = 2*b, -4*n = b - r. Calculate the lowest common multiple of n and 7.
14
What is the common denominator of (-6)/(-16) - (-9 + 32011/3672) and -13/5?
540
Find the common denominator of (-2)/(-19) - (-3140)/(-10032)*6 and 6/(-21) - (-409)/182.
286
Suppose -7 = 3*r - 16. Suppose r*o = 2*w - 4, -3*o = -4*w + 19 + 1. Calculate the common denominator of -6 and w/20 + -3 + 1.
5
Suppose -2 = 33*p - 34*p. What is the lowest common multiple of 46 and p?
46
Suppose 16*i - 520 - 360 = 0. What is the smallest common multiple of i and 450?
4950
Let k be -2*1*(-4)/(-6 + 10). Suppose 12 = -k*x + 4*x. What is the smallest common multiple of x and 16?
48
Suppose -3*c + 2*u + 112 = -15, 2*c - 3*u - 78 = 0. Calculate the lowest common multiple of c and 81.
405
Calculate the lowest common multiple of 20 and (-3)/(-12) - (-3367)/52.
260
Let p = -20 - -14. Let v(n) = -n + 9. Let l be v(p). Let i = l + -11. Calculate the least common multiple of i and 9.
36
Suppose 3*u - 308 = -u - 3*b, 148 = 2*u + 3*b. Suppose -3*m = 23 - u. What is the smallest common multiple of m and 3?
57
Suppose -5*x + 264 = -33*v + 30*v, -5*v - 44 = -x. What is the least common multiple of x and 6?
54
Let g(h) = 2*h**3 + 13*h**2 + 17*h + 32. What is the smallest common multiple of g(-5) and 2?
22
Suppose 2*k = -4*c + 1550, -3*k + 20 = k. Let s = c - 751/2. What is the common denominator of s and -33/4?
4
Suppose 0 = -5*k - 3*o - 758, 0*o + 142 = -k - 3*o. Let a be (-5)/5 - 144/k. Let i = -2397/154 - a. Calculate the common denominator of i and -77/4.
4
Let j(i) = i**3 - i + 4. Let z be j(0). Let t be -41 + z/3*-3. Calculate the lowest common multiple of 11 and (-5)/20 + t/(-4).
11
Let o(t) be the second derivative of 3*t**5/20 - t**3/2 - 2*t**2 + t. Let q be o(-11). Let b = -55579/14 - q. Find the common denominator of b and -93/10.
70
Suppose -2*f - 3*f = -40. Calculate the common denominator of 63/6*6/f and 1010/(-180) - (1*-2 + -2).
72
Let v be (-3)/1*(-30)/9. What is the smallest common multiple of 20 and 2/10 + 178/v?
180
Let p(q) = -35*q + 885. What is the lowest common multiple of 495 and p(25)?
990
Let l(k) = k**2 - 7*k + 32. What is the lowest common multiple of l(3) and 342?
3420
Let g = -3931/6258 - -12/149. What is the common denominator of (-2)/((-12)/94 + 0) and g?
42
Suppose g = 10*g - 117. What is the common denominator of (-18 - -11)*g/(-22) and 65/68?
748
Let z = -1537/2884 - 2/721. Let b = 5773/5 - 92083/80. Find the common denominator of b and z.
112
Let w = -48313/11 + 4389. Calculate the common denominator of w and 118/15 - 7/(-21).
55
Let f(l) = l**2 + 9*l + 15. Let z = -227 - -238. What is the smallest common multiple of f(-9) and z?
165
Let w be (-2 - -5)/1 - 6. Let a(q) = -44*q**3 - 5*q**2 - 4*q - 3. Let u be a(w). Let b = u + -9243/8. Calculate the common denominator of b and 51/20.
40
Let f(d) = -4*d + 2*d - 14 - 2*d + d. What is the lowest common multiple of 14 and f(-6)?
28
Let d(j) = 2*j**3 + 8*j**2 - 2*j - 9. Let a(p) = p**3 + 8*p**2 - 2*p - 8. Let x(o) = -3*a(o) + 2*d(o). Calculate the least common multiple of x(8) and 18.
198
Let n(y) = -y**3 - 6*y**2. Let l be n(-5). Suppose 0 = -3*k - 8*c + 3*c + 13, -3*k + 3 = 3*c. What is the common denominator of 119/18 and (l/2 - k)*-1?
18
Let i = 37 - 33. Let t = 3/200 + -583/200. What is the common denominator of 6/i - 182/16 and t?
40
Suppose 13 = 8*y - 5*y - 2*p, -8 = 4*p. Suppose -7*z + 3*z - y*w = -157, 2*w = 2*z - 82. Calculate the least common multiple of 16 and z.
80
Suppose t = 5*s + 347, 0*t - 2*t = -2*s - 134. Let j = 88 + s. Calculate the smallest common multiple of 294 and j.
882
Let f(p) = -p**3 - p**2 - 2*p + 1. Let b be f(-7). Let q = -4941/16 + b. Calculate the common denominator of 296/4*(-3)/(-12) and q.
16
Suppose -4848 = -70*f + 54*f. What is the smallest common multiple of f and 15?
1515
Let v(j) = 