 h + 92, -31 = -k - h. Calculate the smallest common multiple of k and 20.
160
Suppose 10044 + 6156 = 9*j. Calculate the smallest common multiple of j and 400.
3600
Let h = 4402684/604289 - 1/86327. What is the common denominator of h and (-105)/8 + (-1)/(-2)?
56
Let f = -11589 - -730039/63. What is the common denominator of f and -65/387?
2709
Suppose 23 = -2*d + 1. Let w(q) = -26*q - 76. What is the least common multiple of w(d) and 6?
210
Let f be 0 + 47615349/(-7886640) + (-5)/(-1). Let b = f - 1/32861. Find the common denominator of b and 31/30.
240
Let d(g) = -30*g + 460. Calculate the least common multiple of 307 and d(15).
3070
Suppose 62*m - 85*m = -138. Let p(j) = j**2 + 2*j - 7. Calculate the lowest common multiple of p(-5) and m.
24
Let u(h) = -3 + 19*h + 219*h**2 - 4 - 20 - 64*h**2. Let a be u(9). Let s = 177899/14 - a. Find the common denominator of -97/12 and s.
84
Let c be 3*(80/(-12) - 0 - 2). Let p = c - -41. Let q = p + 1. What is the lowest common multiple of 10 and q?
80
Suppose -3*c = 3049 - 1285. What is the common denominator of 37/4 and (3473/115)/(c/10)?
588
Let s be (-3)/15210*(-267)/2. Let j be (8/156)/(7/(-6) - 1). Let l = s - j. Calculate the common denominator of l and -43/6.
60
Let s be (7290/(-120))/((-3)/16). Calculate the lowest common multiple of (s/(-10))/6*80/(-12) and 24.
72
Let o = 89 + -84. Calculate the common denominator of (-22)/63 + 12/21 and (-4)/22 - (o - 3645/(-220)).
36
Let x be (15/22)/((-1)/140). Let s = -41731378/33 + 1264698. Let d = s + x. What is the common denominator of 51/59 and d?
177
Suppose 5*j - 2*m - 265 = 0, -13*m + 7*m - 135 = -3*j. What is the lowest common multiple of j and 1750?
19250
Let i = -1017 + 18271/18. Calculate the common denominator of i and 4/((-1984)/3)*(-9538)/(-251).
2232
Suppose -15 + 15 = -4*k. Suppose z + 3*w + 2*w + 235 = k, -3*z = -3*w + 651. Calculate the common denominator of ((-20)/z)/(3/(-53)) and 28/27.
297
Let j = 5738463 - 57458131/10. Let m = 7360 + j. What is the common denominator of -9/284 and m?
1420
Let f be 115/25 + -4 + 593/(-5). Let m = f + 121. What is the least common multiple of m and 33?
33
Suppose 0 = -5*c - 13*c + 4122. Let k = c - 194. Calculate the least common multiple of k and 20.
140
Suppose 5*t + 30 = 4*j, -t + 6*t - 2*j = -30. Let q = -1/578 + 18787/1156. What is the common denominator of q and (155/30 + -1)/((-98)/t)?
196
Let h = 0 - 32. Let q(r) = -337*r + 2032. What is the lowest common multiple of q(6) and 2/(-6)*(h - 10)?
70
Let f = 190 - 166. Calculate the lowest common multiple of 21 and 3/(f/22)*24/2.
231
Suppose 0 = 2*j + 591 - 33. Let c = 292 + j. Calculate the least common multiple of c and 8.
104
Suppose -67 + 25 = -3*x. Let o = -2455 - -2925. Calculate the lowest common multiple of o and x.
3290
Let u = -39 - -57. Calculate the common denominator of -1 + 4 + (-435)/u and ((-70)/112)/((-3)/(-114)*3).
12
Let g = 1 - -9. Suppose -g*i - 364 = -36*i. Calculate the least common multiple of i and 7.
14
Let s(p) = -p**3 - 4*p**2 + 6*p - 1. Let f be s(-5). Let n be f/610*448/21. Let l = -9961/1830 - n. Find the common denominator of l and 10/3.
30
Find the common denominator of (-8510)/814 - (-11)/(44/24) and 2/1071.
11781
Suppose -4*a - 5*g + 9 = -4, 3 = 3*g. Suppose a*t = -5*b + 33, -17 = -b + 2*t - 8. What is the least common multiple of 7 and b?
7
Suppose 0 = -2*o - 2*q - 286 - 58, 0 = -q + 5. Let i = o + 87. Calculate the common denominator of (-30)/(-40) - i/28 and 63/8.
56
Let g be (1/2)/((-2)/(-340)). Suppose 3*u + 3*i = 2*i - 40, -5*i + g = -4*u. Calculate the least common multiple of 52/6 - ((-40)/u + -3) and 5.
45
Let r be 63/(-18)*3910/(-14). Let p = r - 1003. Find the common denominator of 1/(-3) + (-42)/(-32) and p.
48
Suppose s = -4*i + 295, -7*s - 5*i + 1193 = -895. What is the lowest common multiple of 253 and s?
3289
Suppose 5*i + 335 = 935. Suppose -3*n + 128 = -5*k, n + 3*k = 4*n - i. Calculate the common denominator of 28/126 + (-23)/n and 179/30.
60
Let u be 2/(-3)*12525/50. Let p = u + 468. What is the smallest common multiple of p and 5?
1505
Let m = -1550160634937/11055 - -140222580. Let n = -34/1005 - m. What is the common denominator of -87/20 and n?
220
Let t = -10 + 13. Suppose -n - 46 = -t*n. What is the smallest common multiple of 9 and n + 1/(-1) + 3?
225
Let g = -3686/7 + 534. Let n be 1/(1/(-4)) - -263. What is the common denominator of (-2)/9 - n/252 and g?
28
Suppose 4*u - 45904 = -12*d, -217*d - u = -220*d + 11492. What is the least common multiple of d and 2784?
30624
Let r = -2447 + 2482. Calculate the lowest common multiple of 1075 and r.
7525
Let t be 1/(7/3) - (-724552425)/25410. Let o = 28515 - t. Find the common denominator of o and -111/20.
2420
Suppose 0 = 2*r + 65*w - 68*w - 2865, 5*r - 5*w = 7170. Let j = r + -10002/7. Let d = 22213/6 + -3678. Find the common denominator of j and d.
42
Let k = -10159 + 10163. Calculate the lowest common multiple of 16 and k.
16
Let z = 1024 - 22541/22. Suppose -36*f + 37*f + 5*h = 13, -5 = -5*f + 5*h. Calculate the common denominator of z and 4/(-14) - (6307/1078 - f).
22
Let a be (33729/10540 - 44/(-374)) + -4. Let o = 94/31 + a. Let d = -109063/12 - -9081. Find the common denominator of d and o.
60
Let u be 5 + -2 - (5 + -10 - 9). Suppose 0 = 2*i - 7*i + 30. Suppose u*r - 11*r - i = 0. What is the smallest common multiple of 3 and r?
3
What is the lowest common multiple of 46/2 + -18 + 343 and 546?
31668
Let y = 31551/14 - 2252. Find the common denominator of y and 87/16.
112
Let b = 37 + -64. Let p = -31 - b. Calculate the common denominator of (-57)/(-12) - 12/p and -93/50.
100
Let g(t) = -t + 3. Let q(f) = -9*f + 21. Let i(y) = 15*g(y) - 2*q(y). Suppose -22*j + 240 = -17*j. Calculate the smallest common multiple of i(4) and j.
240
Suppose 0 = -5*m + 3*z + 8982, -5*m + 342*z + 8990 = 337*z. Calculate the lowest common multiple of 42 and m.
12558
Let s = 21281783/636 - 33462. What is the common denominator of s and 21/4028?
12084
Let o = 184793/43252 - -1/3932. What is the common denominator of -2 - 86/4 - -1 and o?
22
Suppose -3*y = -4*f + y + 28, -3*f - 3*y = -9. Suppose -21*v + 20*v + 66 = 2*x, -5*x = -f*v + 360. Calculate the least common multiple of v and 6.
210
Calculate the smallest common multiple of 216 and (12 + (-12 - 0) - -9) + 909.
3672
Let k(n) = -n**3 + 9*n**2 + n + 1. Suppose 0 = -i + 9 - 0. Let j be k(i). Suppose -b - 4*b = -j. What is the smallest common multiple of 8 and b?
8
Let v = -217807/6 + 36281. What is the common denominator of v and 13/344?
1032
Suppose -9*v + 2*v = -70. Calculate the common denominator of -25/29 and (592/(-30) - 2) + (-6)/v.
87
Suppose 2*g = g + 8. Let p be (-400)/175*7/(-2). Let q(s) = -3*s**3 + 26*s**2 - 14*s - 2. Calculate the least common multiple of g and q(p).
56
Let w be (-1501)/209 - (-2)/11. Let y = w + 27. What is the least common multiple of y and 20?
20
Suppose -54 = -2*q + 4*n, 0*n + 5 = n. Let k = q + -70. Let d = k - -41. What is the smallest common multiple of 20 and d?
40
Suppose -c + 100 = 2*a + 4*c, 2*a = 4*c + 118. Calculate the lowest common multiple of 370 and a.
4070
Suppose -z - s + 2659 = 0, 0 = z + 4*s - 1751 - 893. Calculate the smallest common multiple of z and 2072.
18648
Suppose 2*y + 17*y - 204 = 2*y. Calculate the smallest common multiple of y and 12810.
25620
Suppose 0 = -7*m + 302 - 99. Suppose k = -5*r - 55, 0*k + m = -2*r + k. Let u = 6116/5 + -1225. Find the common denominator of u and r.
5
Let j be (9/2)/3*80/3. Calculate the common denominator of (525/90)/((-38)/(-18)) and (-274)/j - (1 + -3).
380
Let w = -101254571/1784 - -56757. What is the common denominator of 55/16 and w?
3568
Let l = -87416/35775 + 5/1431. Calculate the common denominator of l and 101/100.
100
Let r = 12086 + -1849088/153. Calculate the common denominator of r and -4/1887.
5661
Suppose 3*x + 132 = 852. Let n(u) = 32*u + 6916. What is the smallest common multiple of n(-213) and x?
1200
Let m be 1*2 - (-10 + 12). Suppose -24*k + 20*k + 8616 = m. Let j = k - 32359/15. Find the common denominator of -53/33 and j.
165
Let y(l) = 5*l**2 + 10*l + 31. Let p(q) = -q**2 + 26*q - 30. Let w be p(25). Calculate the least common multiple of y(w) and 7.
742
Calculate the least common multiple of 