t l = -130 + 194. Suppose -25 = 5*r, 10*n = 14*n - r + 75. Calculate the least common multiple of (l/n)/((-1)/5) and 22.
176
Let s(r) = -r**3 - 5*r**2 - 19*r - 49. Let t be s(-6). Let q = t + -71. What is the least common multiple of 30 and q?
30
Let j = -204288 + 204294. Let g(o) = -3 - 4*o + 7 - o**2 + 3*o**2. Calculate the smallest common multiple of g(3) and j.
30
Let o(b) = -b**3 + 3*b**2 + 12*b - 8. Let t = -45 + 49. What is the least common multiple of o(t) and -2*(-2)/(-4) - -11?
120
Let a = 253149/10 + -25314. What is the common denominator of -43/7194 and a?
35970
Suppose 2*w = 7*w + o - 50, 4*w = -5*o + 40. What is the lowest common multiple of (14/35)/(2 + (-19)/w) and 4?
4
Let y(w) = w. Let m(x) = 2*x + 22. Let g(f) = m(f) - 4*y(f). What is the smallest common multiple of g(2) and 60?
180
Let r = 2/122657 + 18521147/3679710. Calculate the common denominator of r and (-158)/8*((-405)/(-50) - 8).
120
Let p(x) = 2*x**2 - 22*x + 52. Let y be p(10). Let j = y - 25. What is the smallest common multiple of j and 143?
1001
Let o(f) = f**3 - 5*f**2 - f + 6. Let p be o(5). Let c be (-3)/p*(4 + -3). Let h(g) = g**3 + 5*g**2 - 8. Calculate the lowest common multiple of h(c) and 1.
10
Let l be 0/2 + 3825/374. Let d be (-57)/(-33)*(-57)/(-9). Let b = d + l. What is the common denominator of b and 7/8?
24
Let a be 1061901658/294932170 - 3 - 3/5. Let n = 1/239005 + a. Let t = n - -585473/120315. Calculate the common denominator of t and -41/3.
15
Let n = 36280 + -3700499/102. Calculate the common denominator of n and -22/153.
306
Find the common denominator of ((-82)/(-98) - 0) + -1 and (-170)/28*(3630/200 - 18).
392
Let u = -5160366 - -108440294/21. Let c = u - 3454. Find the common denominator of c and (-1164)/648 - 1/2.
189
Let l(b) = b - 8. Let j be l(-4). Let x be (-51732)/8 - j/3. Let z = x - -96883/15. Calculate the common denominator of 115/12 and z.
60
Suppose -14*d = -13*d - 30. Let c be (10 - -12)*(-23)/d. Let h = 494/45 + c. What is the common denominator of h and 62/5?
45
Let g(u) = 2*u**3 - u**2 + 3*u - 6. What is the lowest common multiple of g(2) and 39/2*8/34*17?
156
Calculate the common denominator of -81/70 and (-2 - (-99)/5)/((-3267)/(-165) - -11).
770
Let a = 3 - -4. What is the lowest common multiple of (75/75)/(2/14) and a?
7
Let b = -707 - -699. Let d(k) = -19*k - 140. What is the smallest common multiple of d(b) and 27?
108
Suppose 228*b + 3366 = 279*b. What is the lowest common multiple of 4 and b?
132
Let n = 102571 + -269248852/2625. Find the common denominator of n and -49/9.
7875
Let v be -2 - ((-3)/2)/((-9)/(-312)). Let a = v - 46. Calculate the lowest common multiple of 6 and 2/4 + a/(-16)*-118.
30
Let q be (-3 + 3)/((-1)/(-2)*-2). Suppose 4*j = 5*i - q*j - 283, -116 = -2*i + 3*j. What is the lowest common multiple of 5 and i?
55
Let x(t) = 93*t**3 - 7*t**2 - 4*t + 12. Let j be x(3). What is the common denominator of 71/51 and 20/160 - 1298/j?
153
What is the least common multiple of 25 and ((-3)/(-4))/(((-299)/(-23))/2860)?
825
Let w = 3/3308 - 8479/2481. Find the common denominator of (22128/26400 - (-6)/33) + 0 and w.
300
Let b be 10/(-20)*(-28 - 2). Find the common denominator of (-18)/b - -1 - (-11130)/900 and (-868)/80 - 4/10.
12
What is the lowest common multiple of 351 and -1*84*(-144)/112?
1404
Let t = -121061389114406605/260386 + 464930484412. Let f = t - -34/2657. Calculate the common denominator of 69/56 and f.
392
Let y(l) = l + 6. Let x be (2 + -16)/(9 + -7). Let w be y(x). Calculate the common denominator of -109/6 and (-4 + 628/120)*w.
30
Suppose -426*k + 421*k = -3000. What is the lowest common multiple of k and 600?
600
Suppose -2*i - 4*y + 36612 = 0, 2*y + 54878 = -5*i + 8*i. Let f = -219677/12 + i. Calculate the common denominator of f and 68/9.
36
Calculate the common denominator of 1/4080 and (-9)/(-432)*-356*(-5)/(-850).
4080
Let r(m) be the third derivative of -5*m**4/12 - 35*m**3 + 52*m**2. Calculate the smallest common multiple of r(-25) and 5.
40
Let g(x) = x**3 + 5*x**2 + 6*x + 13. Let z be g(-6). Let k = z - -68. What is the smallest common multiple of 18 and (k/5)/((-15)/(-275))?
198
Suppose -20 = -3*z - j, 53*z - 55*z - j = -11. What is the smallest common multiple of z and 552?
1656
Let t = -1/279 + 610/93. Let h = -17 + 49. What is the common denominator of t and (-126)/h - (0 - 3)?
144
Suppose 0 = x - m, -20*x - 4*m + 28 = -17*x. What is the lowest common multiple of x/(-4 - -24)*(-1 + 6) and 5?
5
Let l = 3264 - 3248. Calculate the lowest common multiple of l and 524.
2096
Let o = -45 - -85. Let x = o - 64. Let c = -21 - x. Calculate the least common multiple of 27 and c.
27
Calculate the common denominator of 3 + (525/55)/(-3) - 589/(-95139) and -6.
279
Let o = -8081 + 258517/32. Find the common denominator of o and 2/(-12)*(-3240)/(-440).
352
Let r(n) = n**3 + 36*n**2 - 25*n - 807. What is the least common multiple of 51 and r(-36)?
1581
Let h = 2064/61 - 72473/1830. Let g = -27927/6490 + 76/295. Find the common denominator of h and g.
330
Let u(o) = -o**2 + 8*o + 5. Let m be u(9). Let n be (m - (-4)/8)*(-2876)/(-8). Let v = n - -1275. Find the common denominator of v and -35/4.
4
Suppose q - h - 337 = 349, 3*q - 2058 = -h. Calculate the lowest common multiple of 10 and q.
3430
What is the common denominator of (-1741)/(-1785) - 95/(-285)*(0 + -3) and 71/2550?
17850
What is the common denominator of -101/64 and -8 + (-18)/(-6) + (367/240 - -3)?
960
Suppose -112 = 624*w - 736*w. Let g = 8 - 5. Suppose -3*i = -9 + g. What is the smallest common multiple of w and i?
2
Let v = 782451/587860 + -16/7735. Calculate the common denominator of v and 149/12.
228
Suppose -5*q = 4*x - 296, -20*q + 116 = -18*q + 4*x. Calculate the smallest common multiple of 270 and q.
540
Suppose -5*g - 44*s + 132 = -42*s, 12 = -3*s. What is the smallest common multiple of 154 and g?
308
What is the common denominator of -67/80 and 141630/17280 - 24/3?
2880
Let p = 933357 - 2269924299/2432. Calculate the common denominator of p and -1/1520.
12160
Suppose 4*w + 26 = -3*q, 0*w + 2*q = -w - 9. Let i(k) = k**2 + 8*k + 20. Calculate the lowest common multiple of 44 and i(w).
220
Let i(f) = -3*f**2 + 70*f - 39. Let v be i(29). What is the lowest common multiple of (-1)/(7/v) + -4 and 2?
72
What is the common denominator of 7/1864 and (-8)/(-4) + -10 + 948/128?
7456
Suppose -c - 2*i - 3 = 0, 5*i = -c - 28 + 16. What is the lowest common multiple of c and 240?
240
Let u be 0/(-5 - (3 - 9)). Calculate the common denominator of (-123)/108 - (-4)/(-3) and ((-441)/(-22))/7 - (2 - u).
396
Let y be ((-5)/(-50)*-4)/((-2)/5). Calculate the common denominator of y/(-3) + (-1112)/(-480) and 5/36.
180
Let t = -138/77 - 10552/385. Let p = -123/10 + t. Calculate the common denominator of 29/10 and p.
10
Let h = 3631/65 - 591/13. Suppose 4*y + 3 = 15. Suppose 0 = 4*l - 5*w - 216, 0 = 5*l + 6*w - y*w - 233. Calculate the common denominator of l and h.
5
Find the common denominator of 17/77 and -3 - (((-3)/33)/1 + (-19690)/7865).
1001
Let u(s) = -14*s + 116. Let q be u(8). Suppose 3*f - 51 = 3*v, 3*f = -2*v - q + 80. What is the common denominator of -70/39 and f?
39
Let b(y) = 19*y**2 - y. Let x be b(1). Suppose -2*c + x = 4*a, -5*a - c + 18 = -3*c. Calculate the least common multiple of a and 24.
24
Let a = 86337/14 - 6163. Calculate the common denominator of a and 1/294.
294
Let p = 10609 + -10595. What is the smallest common multiple of (-22)/99 - 1514/(-9) and p?
168
Let k = 46441/30492 - -4/847. What is the common denominator of k and -121/3816?
3816
Let b(v) = 5*v**3 - 6*v - 11. Let k(c) = -14*c**3 + 17*c + 35. Let w(a) = -17*b(a) - 6*k(a). Calculate the lowest common multiple of w(-3) and 2.
4
Let g(y) = y**2 + 6*y + 12. Let t be g(-7). Let a = t - 12. Suppose 0 = -a*c - 1 + 29. What is the lowest common multiple of 10 and c?
20
Suppose -90*i = -86*i, 2*y - 5*i - 4 = 0. Calculate the least common multiple of y and 1282.
1282
Let d(t) = 12*t - 2. Let v be d(-1). Let a = -24 - v. Calculate the common denominator of 55/13 and ((-12)/70)/(3/a).
91
Let q be (1 + -3 - -6)*515/4. Calculate the common denominator of q/(-100) - (-4 - 1) and -19/158.
1580
Let g = 155 + -140. Calculate the smallest common multiple of ((-594)/(-726