mon multiple of (-3 + 48/40)/((-2)/20) and 12/5 + a/25.
18
Let x(z) = z**2 + 28*z + 151. Let h be x(-7). Suppose -n + h*s + 47 = -12, 3*s - 66 = -n. What is the smallest common multiple of n and 133?
1197
Let v = -307 - -318. What is the common denominator of (6545/30)/v + -3 and (-298)/(-8)*6/(-45)?
30
Let u(t) = 2*t**2 - 2*t + 10. Let f be u(6). Let g = f + -61. What is the common denominator of (g/(-7) + 1)/(4/68) and 95/8?
56
Let r(k) = k**2 + 20*k - 968. What is the least common multiple of 253 and r(-44)?
2024
Suppose 9*d - 11*d + 16 = 0. Calculate the lowest common multiple of d and (2/16*3)/(-1)*-16.
24
Suppose -2*m + z = -841, m = 6*m + z - 2085. What is the lowest common multiple of 44 and m?
836
Let o = 333 - 279. Find the common denominator of (-211)/o + (3 - (-8 + 9)) and 55/72.
216
Let y(t) = 4*t**2 - 3*t - 1. Let k be (9592/(-55))/((-14)/105). Suppose -k*v - 36 = -1310*v. What is the least common multiple of y(-3) and v?
396
Suppose 2*f = 2*n + 364, -10*n = -9*n - 1. What is the smallest common multiple of f and 3172?
9516
Suppose -28837 = -143*j + 3355 - 5594. Calculate the lowest common multiple of j and 961.
5766
Let z(l) = -l**3 - 7*l**2 - 4*l**2 - 2 - 13 + 6 - l. Let n be z(-11). Suppose -n*w - w = -174. What is the lowest common multiple of 22 and w?
638
Let r(f) = -18*f - 495. What is the least common multiple of 66 and r(-30)?
990
Find the common denominator of 11 - 189931/(-23800) - 19 and 53/850.
3400
Let h(s) = -3*s**3 + 112*s**2 - 88*s - 99. Calculate the smallest common multiple of 7029 and h(36).
21087
Let y = 13039/18 - 724. Let u be (0 + 2)*(-67)/2. Find the common denominator of (u/(-5))/(-6 - -8) and y.
90
Let u be (8/540)/((-7)/2953734). Let n = u + 6252. Calculate the common denominator of 43/90 and n.
90
What is the least common multiple of (12/(-4) - -1)*(-161 + 160) and -6*(0 + (-8)/3)?
16
Suppose -43*l + 49*l - 42 = 0. Let j(c) = -c - 4. Let d be j(-6). Suppose 2*f - d = 8. What is the least common multiple of f and l?
35
Let c = 44 + -39. Find the common denominator of -61/30 and c + 33/(-70) + -3.
210
Let q be (-1 - 13)*(-4)/14. Let d be (-1)/(-8)*q - -468. Let b = 10239/22 - d. What is the common denominator of b and 56/5?
55
Let f = 6642566/95827875 + 4/255541. Let b = 11887 + -118989/10. Calculate the common denominator of b and f.
750
Let n(l) = -l**2 - 8*l - 2. Let u(v) = 4*v**2 - 642 + 691 - 4*v**2 + 2*v**2 - 3*v**2 + 12*v. Calculate the smallest common multiple of u(15) and n(-6).
20
Let s = -282 - -285. Suppose 5*a = 3*p - p + 665, 0 = -s*a - 4*p + 399. What is the smallest common multiple of 42 and a?
798
Let f(k) = 5*k + 11 + 4*k - k - 5*k + 2*k. Calculate the smallest common multiple of 48 and f(-1).
48
Let p(y) be the first derivative of y**3/2 + 9*y**2/2 - 6*y - 6. Let s(r) be the first derivative of p(r). What is the least common multiple of s(9) and 40?
360
Suppose -3*z = z - 80. Let d be 215/20 + 1/4. Let c(v) = -2*v**3 + 24*v**2 - 19*v - 9. What is the least common multiple of c(d) and z?
120
What is the common denominator of (-18)/80*(-172)/(-258) and -23/440?
440
Let f = -14014720/103 + 970547029/7931. Let p = -13692 - f. Calculate the common denominator of p and 895/22 + 11280/(-5170).
154
Calculate the common denominator of -193/1260 and 3322/13860*(-20)/(-12).
3780
Let v = -796169322 - -6269833425941/7875. Let g = v - 132/125. Find the common denominator of g and 1/63.
63
Find the common denominator of 15/18 + (-2555872)/(-355200) + (-32)/4 and -2/45.
33300
Suppose -4*m + 2*y + 174 = 0, 3*y - 4 - 5 = 0. Let o = m - 30. Suppose -o = 9*c - 69. What is the lowest common multiple of 16 and c?
48
Let z(r) = 7*r + 97. Let u be (-77 + 78)*-13*1. Calculate the least common multiple of z(u) and 24.
24
Suppose -5*n + 5*p = -170, -4*n + 4*p + 152 = 8*p. Let f be (14/(-5))/(1/(-10)). Let i = n - f. Calculate the least common multiple of 5 and i.
40
Let x = -19481/21996 - -130/141. Calculate the common denominator of 43/90 and x.
2340
Let l(h) = -5*h - 19. Suppose 0 = -3*t - t + 232. Let g = -51 + t. What is the least common multiple of l(-6) and g?
77
Suppose -2*z - 6 = 0, -2*g + 5 = -z + 42. Find the common denominator of -71/46 and (-4)/10*-2 - (-37)/g.
460
Calculate the common denominator of (2 + 105/(-24))*(16 - 29256/1836) and -41/612.
612
Let a = -924/563 - -260143/123860. Calculate the common denominator of a and -99/580.
6380
Let v be ((-1300)/8)/(-13)*6. Calculate the lowest common multiple of 33 and (3/5)/(5 - 372/v).
165
Let i = -66 + 126. Suppose -5*u = -3*g + 75, -55*u + 56*u + 15 = 2*g. What is the common denominator of 48/7 and 79/u + 10/i?
70
Let t be (46672/144)/(121/(-43746)). Let h = t - -117178. Find the common denominator of h and 131/6.
726
Suppose -81*t = -60*t - 15624. Calculate the lowest common multiple of 837 and t.
6696
Suppose -63 + 39 = -8*s. Suppose -c = s*t - 23, 0*c + c = 2*t - 7. What is the smallest common multiple of 68 and t?
204
Let m(u) = u**2 - 13*u + 100. What is the smallest common multiple of 8 and m(12)?
88
Suppose 46165 = -7*p + 52010. Calculate the least common multiple of 1503 and p.
7515
Let f(t) = -t**3 + 12*t**2 + 22*t + 5. Let p be f(13). Let g = p + -121. Let o(q) = q**2 - 5*q - 5. Calculate the smallest common multiple of o(6) and g.
1
Let i(g) = g**3 + 15*g**2 - 33*g + 11. Let k be i(-17). Find the common denominator of -39*7*k/324 and ((-215)/(-10))/((-54)/4).
54
Suppose -5*q + c - 1 = 0, -2 = 5*q - 4*c + 2. Suppose q = 2*f + 6, -4*k + 0*f + 95 = 3*f. Let n = k + -8. Calculate the lowest common multiple of 2 and n.
18
Let a = 111 - 99. Let m be 6/27 + (-568)/(-36). Suppose 5*j = 89 + m. Calculate the lowest common multiple of j and a.
84
Let h be 3 - 0 - (-25050)/(-135). Let q = 183 + h. What is the common denominator of q and -49/81?
81
Suppose -24*m + 8038 + 3315 + 9527 = 0. Calculate the smallest common multiple of 390 and m.
11310
Suppose 24892 = 10*a + 39*a. Let m = 526 - a. Let r(o) = 3*o + 3. Calculate the smallest common multiple of m and r(5).
18
Let p(m) be the first derivative of 2*m**2 - 52*m + 25. Let k be p(13). Find the common denominator of (9/6 - k) + 1035/54 and 37/4.
12
Suppose 0 = 2*t + 4914 - 22350. Let h be t/(-8733) - (2 + -1 + -2). Let p = h - -107512/113529. Find the common denominator of p and -62/33.
429
Let n(u) be the first derivative of u**4/4 + 10*u**3/3 - 25*u**2/2 - 6*u - 12. Let b = -111 - -99. What is the smallest common multiple of 28 and n(b)?
84
Let r = 6314 - 2197. Calculate the lowest common multiple of 179 and r.
4117
Let v(p) = 69*p**2 + 1658*p + 58. Let y = 24 - 10. What is the lowest common multiple of y and v(-24)?
70
Let y(h) = -2*h**2 + 11*h - 3. Let x be y(8). Let n be (3 - (-738)/15) + 8/(-40). Let w = n + x. What is the least common multiple of w and 5?
45
What is the common denominator of ((-1)/4*-35)/(16/(288/3267)) and -49/66?
726
Suppose 83 = 5*r + 3*n, 5*r - n = n + 78. Suppose c + 262 = 2*c + 5*p, 2*c - 496 = 4*p. Let s = c - 234. What is the least common multiple of s and r?
144
Let q = 251168 + -80373881/320. Find the common denominator of -181/1920 and q.
1920
Let k be 2/8 + (-85)/4. Suppose 4*l - 5*n - 8 = 3*l, 3*l - 24 = 2*n. What is the smallest common multiple of (-16)/(-7)*k/(-6) and l?
8
Let b be (588/63)/(2*(-1)/30). Let s = b - -149. Calculate the least common multiple of 11 and s.
99
Suppose -9*j - 79 = -4*b - 14*j, 0 = 3*b + 5*j - 58. Calculate the least common multiple of 1383 and b.
9681
Suppose 4*k + 4*u - 369 = -361, -3*k = 2*u - 10. What is the lowest common multiple of (6/(-9))/((-2)/144) and k?
48
Let u be (-2 - (-36)/16) + (-171)/(-4). Let f = -78 + u. Let x = 37 + f. What is the lowest common multiple of x and 18?
18
Let w = 18/12851 + 1435963/11565900. Calculate the common denominator of 173/300 and w.
900
Let a = -14031/25748 - -98/157. Let k be (0 - (3 - 0))/101. Let i = -1937/606 - k. Calculate the common denominator of i and a.
492
Let p = -30/989 - -13037/5934. Find the common denominator of 145/3084 and p.
3084
Let r be 12/24 + (1998/(-4))/(-3). Let f = r - 97. Calculate the least common multiple of 5 and (-1 + -1 - -1)/((-14)/f).
5
Suppose -21*p + 444 = 66. What is the least common multiple of p and 268?
2412
What is the common denominator of -99/512