 the least common multiple of 32 and y?
64
Let l = 145 - 142. Suppose -3*z + 6*z - 3*n = 15, 5*z = -2*n - 3. What is the least common multiple of ((-57)/9 + l)*-3 and z?
10
Suppose -24*g + 76*g - 4992 = 0. What is the smallest common multiple of g and 2856?
11424
Let g(l) = -102*l - 975. Let v(s) = -50*s - 488. Let r(m) = 2*g(m) - 5*v(m). What is the smallest common multiple of 10 and r(-9)?
380
Let i = 80 + -85. Find the common denominator of 21/11 and 2/(-5) + (3 - (i - -4)).
55
Let u(n) = -n**2 + 9*n + 388. What is the least common multiple of u(-11) and 420?
840
Let z = -415 - -378. Let g = -35 - z. Calculate the lowest common multiple of 60 and g.
60
Let l(x) = 9*x**3 + 6*x**2 + 8*x - 5. Let q be l(-7). Let j = q + 57099/20. Let k = 775963/550 + -15534/11. Find the common denominator of j and k.
100
Let c = -4931 - -5019. Calculate the smallest common multiple of c and 55.
440
Let c be (-40238)/9 + (-1 - 3). Let f = -4481 - c. Calculate the common denominator of f and -64/75.
225
Let n be 175/15 + (-4)/(-3) - -4. Suppose 760 = n*d + 3*d. What is the lowest common multiple of 4 and d?
76
Suppose 33*m - 2*v + 20 = 31*m, -4*v - 20 = 2*m. What is the lowest common multiple of m - -7 - (-1 - 50) and 48?
48
Let x be (-556)/1*(-1)/374. Let q = 163/748 + x. Let y = -1025377/24 - -42729. Calculate the common denominator of y and q.
264
Let s = 78 + -73. Let f(w) = w**2 - w - 12. Let j be f(s). Suppose 0 = 3*g - 28 - j. Calculate the smallest common multiple of g and 6.
12
Suppose 3*j - 7*j = -4*u - 108, -2*u - j = 45. What is the least common multiple of 14 and (-24)/(-64) + (-2199)/u?
644
Let v(z) = 3*z - 114. Calculate the least common multiple of 90 and v(68).
90
Suppose 0 = 5*a + 4*p - 100, 5*p - 40 = -2*a + p. What is the least common multiple of 79/316 - (-126)/8 and a?
80
Let d = -4 - -12. Let m be 3/2 + 12/d. Suppose s = -2*s + m*q + 96, 2*s - 4*q = 64. What is the smallest common multiple of 20 and s?
160
Let v be (1/2)/((-10)/(-140)). Suppose -v*c - 80 = -3*c. Calculate the common denominator of ((-2525)/c)/5 - 4 and 55/2.
4
Suppose 0 = -7*q + 5*q + 4*g, -4*q + 3 = -5*g. Suppose -2*x = q*u - u - 4, 3*x = -4*u + 21. Calculate the smallest common multiple of u and 24.
24
What is the lowest common multiple of 924 and ((-158)/(-4) + 1)/(1443/21164)?
8316
Find the common denominator of -151/84 and ((-1)/(-75))/((-28)/1464) - (-24)/48.
2100
Let v be ((-187626)/53415)/((-12)/(-27)). Let c = 9/733 + -7751/870071. Let r = c + v. Find the common denominator of r and 45/2.
10
Suppose -11*j + 6*j = -565. Let g = j - 17. Calculate the lowest common multiple of g/14 + 1/7 and 7.
7
Suppose 16863 = 63*u - 30*u. Let k = u - 415. Calculate the smallest common multiple of 12 and k.
96
Let d(p) = p**2 - 22*p + 192. Let n be d(9). Let i = -34701217/38 + 913115. Let z = i + n. Calculate the common denominator of z and -53/2.
38
Let b(o) = -251*o + 1080. Calculate the lowest common multiple of b(0) and 80.
2160
Suppose 75 + 1165 = -31*r. What is the common denominator of 1490/3794 - r/(-140) and -61/2?
542
Suppose 36*n = -41311 + 181711. Calculate the smallest common multiple of n and 14.
27300
Let s be 8 + (4 - 3) + 0 + -3. Let f = 801/715 + 4/65. What is the common denominator of (-94)/18 - 2/s and f?
99
Let o(n) = 3*n + 21. Let s be o(-6). Suppose -s*y + 5*b = -387, 125 = y - 4*b + b. Find the common denominator of -1*3/((-12)/y) and 35/27.
54
Let q = 190 - 188. Suppose 11*f - 702 = -q*f. What is the smallest common multiple of 81 and f?
162
Suppose -634*k - 160 = -636*k. Suppose 43*t = 39*t + k. What is the lowest common multiple of t and 90?
180
Let b be (6 + -2)*6*(-53)/(-8). Suppose -b = -6*d + d + 3*l, 2*l = -6. What is the smallest common multiple of 111 and d?
1110
Let l be (0 - 22)*(-2)/(-46). Let i be 6/(-115)*217075/(-2660). Let n = l - i. What is the common denominator of n and -89/6?
42
Let o(r) = 79*r + 668. What is the lowest common multiple of 13 and o(-5)?
273
Let h = -132 + 136. Suppose m - 365 = -h*g, g - 40 - 35 = 3*m. What is the lowest common multiple of 24 and g?
360
Let n(h) = -h + 11. Let i be n(9). Calculate the common denominator of (33/i)/(9/5) and 207/(-2622) - 18108/(-12768).
168
Suppose 0 = -4*h + 5*x + 127, -3*x - 150 = -5*h - 1. Suppose 4*z = -3*u + 8, -1 = 4*u + 4*z - z. What is the smallest common multiple of 4 and h - u/1*1?
32
Suppose -16*x = -5*x. Suppose y = -x*g - 4*g + 8, 3 = 5*g + 3*y. Suppose 6*i = -g*i + 180. Calculate the lowest common multiple of i and 12.
60
Suppose 13*z - 35 = 5*o + 11*z, -o + 10 = 3*z. Let n(y) = y**3 + 9*y**2 + y - 5. Let r = 3 + -1. Calculate the least common multiple of n(o) and r.
90
Let i = 10504927 - 166335013979/15834. Find the common denominator of 37/2 and i.
15834
Suppose 0 = 2*y + 20*x - 15*x - 41, 4*y - 2*x = 70. What is the least common multiple of 12396 and y?
37188
Suppose -7*f - 298 = -2*y - 4126, -f - 3*y + 537 = 0. What is the smallest common multiple of 2 and f?
546
Suppose 0 = 148*p - 138*p - 12254 - 2776. Calculate the least common multiple of 9 and p.
1503
Let d = 232341953/26335644 - -12/95419. Let h = 63/23 - d. What is the common denominator of h and 2 - 0 - (-38)/24?
12
Suppose 63 = 2*k + 3*i, -6*k = -2*k + 2*i - 114. Let n(u) = -u - 50. Let t be n(k). What is the common denominator of -11/4 and t/((-3)/6*12)?
12
What is the least common multiple of (2856/(-49))/(-6) - (-4 - (-78)/21) and 1480?
1480
Let h = 13214 - 5752. Suppose 15*b + 2362 = h. Calculate the least common multiple of 22 and b.
3740
Suppose 0 = 2*u + 4*y, -3*u + 91*y = 92*y - 25. What is the smallest common multiple of 72696 and u?
363480
Let g be (-4)/(-1009)*1/6. Let j = g - 18842/11099. Calculate the common denominator of j and 85/54.
594
Let s = 258589/50 - 5172. What is the common denominator of s and 145/6?
150
Let a(m) = m**2 + 5*m + 5. Let o be (-1 + 19)/(-6) + 0 + 456. Let n = -420 + o. What is the least common multiple of a(-6) and n?
33
Let b be 2/(-8)*1/(-6)*-213281314. Let k = b - -8881240. Let g = k + 5470. Find the common denominator of g and -47/10.
60
Let n(h) = -5*h + 1 + 6*h - 1 - 3*h. What is the smallest common multiple of n(-15) and 18?
90
Suppose -4*r + 28 = -4*q, 2*r + 16*q = 12*q - 4. What is the common denominator of 1887/(-1190) + (r/7)/1 and -61/60?
420
What is the common denominator of -51/5294 and 55/(-22)*4/((-160)/6)?
21176
Let k(i) = -10*i - 14. Let j be k(-5). Suppose 4*o - j - 2 = 2*v, 4*o - 17 = -5*v. What is the lowest common multiple of 19 and o?
152
Let n = -39/7 - -157/42. Find the common denominator of ((-37)/534)/(-24 - 1136/(-48)) and n.
534
Let n = -137 - -298. Calculate the common denominator of (53/(-3))/(n/(-21) + 1) and ((-154)/24)/((-15)/(-45)).
20
Let f = -7514 - -7684. What is the least common multiple of f and 680?
680
Calculate the common denominator of 19/214 and (-243)/(-36) - (4 + 13).
428
Let o(b) = 8*b + 24. Let r be o(-14). Calculate the common denominator of 345/(-736)*r/6 and -43/13.
104
Calculate the smallest common multiple of (-3)/6 - (-62)/4 and ((-11)/((-385)/(-130)))/((-11248)/798 + 14).
195
Suppose -98 = -13*f + 19. Calculate the common denominator of ((-298)/12)/(9/3) and ((-30)/160)/(f/(-484)).
36
Suppose j - 3 = -3*u - u, 3*u + 3*j = 0. What is the common denominator of 19/(-3)*6/(-4) and u/(-4)*(109 - 8)?
4
Let j = -1286271 + 1579540883/1228. Find the common denominator of j and 45/4.
1228
Let b = 5800 + -5370. Calculate the least common multiple of b and 50.
2150
Suppose 5*t + 3*k = -k + 965, 4*t - 2*k = 746. Let i(u) = 15*u**2 - 2*u + 2. Calculate the lowest common multiple of t and i(1).
945
Let a(f) = 2*f**2 + 69*f - 1084. Calculate the least common multiple of 1400 and a(12).
5600
Let f = -617 + 623. Calculate the common denominator of -53/208 and 771/36 - f*7/63.
208
Suppose 21*d = -4*k + 20*d + 15393, k - 5*d = 3885. What is the lowest common multiple of k and 55?
3850
Let y = -170883/141757 + 4/2893. Calculate the common denominator of (-1007)/1330 + (-10 - 2532/(-252))*36 and y.
490
Suppose 5981 - 18221 = -51*m. Calculate the smallest common multiple of 3210 and m.
25680
Let b(r) = -149*r - 2208. What is the least common multiple of b(-15) and 1431?
1431
Let n(u) = 14*u - 177. Let y be n(0). Let a = 237 + y. What is t