j + k - 10 = r*k, 4*j = 5*k + 6. Calculate the lowest common multiple of j/(-4) - (1 - 81/12) and 14.
42
Let d = -75799/18 + 4204. Calculate the common denominator of d and (102/(-119))/(440/434).
990
Let u(k) = 5*k + 47. Let i be u(-11). Let f(a) = -a**2 - 11*a - 27. Let r be f(i). Let q = 9 + r. What is the lowest common multiple of 8 and q?
24
Suppose -u + 45 = -d - 64, 3*u = 5*d + 335. Let h = u - 5761/55. Find the common denominator of -3/65 and h.
715
Let y = -7552 - -90523/12. Calculate the common denominator of 58/13746*(-258)/4 and y.
948
Let g(z) = z**3 - 49*z**2 + 292*z - 97. Calculate the lowest common multiple of 1755 and g(43).
12285
Suppose u - 26 = 128. Let z = -20064 - -20174. Calculate the lowest common multiple of z and u.
770
Let k be (-1)/(-4) - (-22)/8 - -1038. Suppose 5*b - 2*b - k = 0. What is the common denominator of 1/((-36)/(-8)) - b/(-18) and 29/20?
20
Let x = -17226 - -671854/39. Calculate the common denominator of -89/36 and x.
468
What is the common denominator of 11/3600 and (-5700)/800 - 1*3/3?
3600
Let d = -3277052/3799845 - 1/60315. Let o = -4/63 + d. Find the common denominator of o and -28/3.
27
Let d = -7 + 19. Let c = d - -18. Calculate the lowest common multiple of ((-96)/c + 2)/((-4)/90) and 9.
27
Let k = 17646 - 15486. What is the least common multiple of 270 and k?
2160
Calculate the smallest common multiple of 5 and 5/(66/256 + ((-153)/36)/17).
640
Let y = 4885/868 + -118/31. What is the common denominator of y and 206/45 + 4/18?
140
Let r be (-20)/(10/2) - 2062893/(-111492). Let l = 2286/163 - r. What is the common denominator of -63/4 and l?
228
Calculate the common denominator of 9/20 and (-16591)/11040 + (-1008)/(-672).
11040
Let j = -386 + 385. What is the common denominator of (-2 - j) + 350/80 and 47/76?
152
Let p(y) = y**2 - 9*y + 4. Let d be p(9). Suppose 0 = 2*j - j - d. Suppose j = 2*b, h + 14 = 4*h + 4*b. What is the least common multiple of 11 and h?
22
Let m be (1 + -2)*-5 + -17. Suppose 0*u - u - 200 = -g, -4*g = -3*u - 801. What is the least common multiple of g and (18/m*2)/(-1)?
201
Suppose n + 17 = -2*l - 78, 98 = -2*l - 2*n. Let j(b) = b**3 + b**2 + 2*b + 61. Let v be j(0). Let z = l + v. What is the smallest common multiple of 5 and z?
15
Calculate the lowest common multiple of 872 and ((-80)/(-45))/(((-1102)/(-171))/29).
872
Let v = 42 - -340. Let s = 386 - v. Let z(c) = 3*c**3 + c**2 - 2*c + 1. Calculate the smallest common multiple of z(1) and s.
12
Let s = 33269473107/44 + -756082037. Let j = s + -42350. What is the common denominator of (-1)/(-8)*(-174)/10 and j?
440
Let p = 51 + -51. Let s be p/(0*(-4)/12 - -1). Suppose s = 5*f - f - r - 8, 5*r = 4*f - 8. What is the smallest common multiple of 8 and f?
8
Suppose 0 = -22*y - 132 + 286. Calculate the smallest common multiple of 3168 and y.
22176
Suppose -m = 4*p - 24, 4*p = 6*m - m - 24. Suppose -2*o = 2*q - 40, 13*o - m*o = -3*q + 96. What is the lowest common multiple of 644 and o?
5796
Let b = -76261127777/647009 - -336/647009. Let o = b + 117486. Let z = 383 + o. Find the common denominator of 27/4 and z.
44
Suppose -2*l + 176 - 114 = 0. What is the common denominator of (-12)/(-16)*4 - l/(-8) and 4/(-2) + (-172)/16?
8
Calculate the common denominator of 28/38010*1807/(-2) - 12/(-15) and -23/27.
4887
Suppose 5*a - 22*b + 4455 = -27*b, -4*b = -2*a - 1776. Calculate the common denominator of ((-7)/((-175)/10))/((-96)/a) and 71/18.
72
Calculate the common denominator of (-17 + 63)*1/4*2 and 1*(-4)/6*342/(-20).
5
Let l = 42 - 29. Let t(j) = 14*j + 33. Let z(k) = -6*k - 17. Let q(w) = 4*t(w) + 9*z(w). Calculate the smallest common multiple of q(l) and 11.
55
Let d = -40205/6 - -6684. Let q = 3288529/807 - 4075. Let m = -29795/12912 - q. Find the common denominator of d and m.
48
Let z(t) = 2*t**2 + 5*t - 8. Let a be (8/3)/(4*4/24). What is the smallest common multiple of 4 and z(a)?
44
Calculate the common denominator of 10/(-7)*(-42)/(-18) and ((-20)/4)/((-732)/90 - -8).
6
Let b = -5393 + 5647. What is the smallest common multiple of 127 and b?
254
Let p = 175 + -181. Calculate the smallest common multiple of 55/7 + p/(-42) and 32.
32
Let z = 19121 - 18015. Calculate the least common multiple of z and 4977.
9954
Suppose z + 4*k - 48 - 5 = 0, -3*z - 2*k = -139. What is the least common multiple of 2 - (4 - 5) - -147 and z?
450
Suppose 37 = 4*t + 1. Suppose 0 = h - t + 7. Let r(n) = -n**3 + 4*n**2 + n + 8. Calculate the smallest common multiple of h and r(0).
8
Suppose 4*j = -2*f + 5140, -5*f = 32*j - 4537 - 8401. What is the smallest common multiple of f and 60?
25620
Suppose 4*y + 3*c = 63, 6*y - y - 5*c - 35 = 0. Let w(n) = 2*n**3 - 23*n**2 - 13*n + 27. Calculate the smallest common multiple of 306 and w(y).
1530
Let t(i) = 2*i - 12. Let r be t(6). Suppose 0*n - 4*n + 243 = 3*a, -a + 2*n + 91 = r. Suppose -284 = -9*y + a. What is the common denominator of 19/26 and y?
26
Let y = 383878 - 454511579/1184. What is the common denominator of 87/1480 and y?
5920
Let k = 3430 - 1183352/345. Let f = 1039/3 - 971/3. Calculate the common denominator of k and f.
345
What is the common denominator of -67/312 and ((-330)/85176*111 + (-6)/(-14))*-31?
4056
Calculate the common denominator of 13/2 and (-1*2/4716)/((-66)/(-7821)).
1572
Let y be (-8)/(-32) + 1359/4. Let p = -320 + y. Calculate the lowest common multiple of 50 and p.
100
Let s be (1 - -2) + -13 + 13. Let g(m) be the second derivative of 5*m**3/2 - 3*m**2/2 + 25*m. What is the smallest common multiple of g(s) and 14?
42
Let c = 122286 + -733705/6. Calculate the common denominator of (-1)/(-2) - (-106)/120 and c.
60
Let n = 1595 - 1582. Let u(j) be the second derivative of j**4/12 - 2*j**3 + 7*j**2/2 - j. What is the lowest common multiple of 14 and u(n)?
140
Let j = 121883/224 - 3792/7. Find the common denominator of 33/64 and j.
64
Suppose 1290*t + 62 = 1259*t. What is the common denominator of t and (-15)/(-2)*19/175?
70
Suppose 15*i = 13*i + 8. Suppose 2*m + s = 15, m + i*s - 15 = -2*m. What is the least common multiple of 115 and m?
1035
Let t(p) = p**3 + 23*p**2 + 140*p + 104. Calculate the smallest common multiple of 73 and t(-12).
584
Suppose -3*h - 2*g + 13 = -5, 0 = g + 3. Suppose h*x - 10600 = -117384. Let u = x - -293751/22. Calculate the common denominator of u and 19/206.
2266
Let u(a) = -a**2 + 36*a + 39*a + 21 - 67*a. Calculate the lowest common multiple of u(9) and 123.
492
Let o be 29 - ((-2)/7 - 10/14). Suppose o*s = -7*s + 185. Calculate the least common multiple of s and 35.
35
Let s be (39/(-6))/((-6)/(-12)). What is the smallest common multiple of (s + -3)*5/(-4) and 434/21 + (-12)/18?
20
Let n(y) = -1499*y + 89. What is the lowest common multiple of n(-1) and 3?
4764
Suppose -6*c - 2*o + 67 = -c, -4*c = 4*o - 56. Suppose 0 = 2*p + 3*a - 37, 1001*p - 1004*p + 43 = 2*a. What is the lowest common multiple of p and c?
143
Suppose 2*d - 11*s - 38 = -14*s, -4*d - 2*s + 52 = 0. What is the smallest common multiple of d and (0 - -1) + 0 + 0?
10
Suppose -q + 10 = -5*t + 38, -2*t - 32 = 2*q. Find the common denominator of -16/39 and (-88)/q + 1 + 3/(-9).
117
Let n = -1213/52 - -26847/26. Let h = 1033 - n. Find the common denominator of -37/22 and h.
44
Let z be (144/18)/((-4)/8). Calculate the smallest common multiple of 6 and 49/7 - (z - 6).
174
Let t(l) = -3 - 47*l**3 - 22*l + 4 + 20*l. Let r be t(1). What is the common denominator of 27/98 and 2*(-183)/r*3/(-6)?
784
What is the least common multiple of ((-20)/(-8))/((3 - 19/6)/(-9)) and 45?
135
Let q = 4491 - 4116. What is the least common multiple of q and 825?
4125
Let z be -4*(1/4 - (-903)/(-28)). Suppose -7*r - 9*r = -z. Calculate the lowest common multiple of r and 13.
104
Let v(d) = d**2 - 11*d + 8. Let l be v(12). Suppose 363 = l*f - 517. What is the least common multiple of f and 36?
396
Find the common denominator of (290/32 + 2)/3 and (-3)/27 - (-16933)/708*(-22)/147.
336
Let f be (-1)/6 + 2/36*129. Suppose 2105 = f*u - 2*u. Let x = -4139/10 + u. What is the common denominator of x and -75/28?
140
Let q = -11968/15144651 + -4/85563. What is the common denominator of q and -8/1947?
52569
Let f = 1323 - 423. Suppose -10*j + f = 5*j. Calculate the least common multiple of 24 and j.
120
Suppose -4*u