 -47/9?
45
Let l(j) = -6*j - 40. What is the lowest common multiple of 45 and l(-10)?
180
Let o = 12951 - 155527/12. What is the common denominator of 97/28 and o?
84
Suppose -5*l + 26 = 6*m - 4, 4*l = m + 53. Suppose 3*z + 29 = 5*g, 2*g + 2*z = 1 + 1. What is the lowest common multiple of l and g?
12
What is the common denominator of -69/20 and ((-3)/62)/((-12)/(1632/(-40)))?
620
Let v(i) = i**2 - 3*i - 1. Suppose -4*l + 1 = -3. Calculate the least common multiple of l and v(5).
9
What is the least common multiple of 60 and 26/1 + 420/105?
60
Let k = -51491 + 3089611/60. Calculate the common denominator of -65/2 and k.
60
Let k be ((-48405)/(-9683))/5 - 1. Let g = k + -1055423/116196. What is the common denominator of -151/6 and g?
12
Let q(r) = -2*r**3 - 4*r**2 - 5*r. Let u be q(-4). Suppose -5*a - u + 4 = 0. Find the common denominator of 2/1 - 108/a and 17/6.
12
Let i = 422/7 + -389/7. Let g = 6077/6 - 1017. Calculate the common denominator of g and i.
42
What is the lowest common multiple of 220 and (-115)/(-15) + -4 + 26/6?
440
Let g = 25 - 20. Suppose g*k - 5 = 10. What is the least common multiple of k and 3?
3
Calculate the common denominator of (-23)/33 + 0/1 and (341 - 351)*2/21.
231
Let y(s) = s**3 - 2*s**2 - 2*s - 1. Let z be y(-1). What is the smallest common multiple of 10 and (-7 - 1 - z)*10/(-6)?
10
Let t(n) = n**3 - 2*n**2 - 11*n + 18. What is the lowest common multiple of 27 and t(6)?
864
Let i(j) = j - 13. Let m be i(31). Suppose 5*n - 28 = 72. Let f = n - m. Calculate the lowest common multiple of f and 10.
10
Suppose -m + 6 = -5*b - 1, -4*m = b - 7. Find the common denominator of -4 - (-915)/230 - m and -67/4.
92
Let g be (-10)/35 + 72/7. Find the common denominator of ((-6)/99)/(6/(-243)*1) and ((-1112)/(-60))/((-8)/g).
66
Let p(a) = -a - 2. Suppose -3*b - 9 = -0. Let v be p(b). What is the common denominator of (-51)/(-8) + (-2 - v) and 9/2?
8
Let k(h) = -h**2 - h**3 - 6*h**2 - 17 + 17*h - 5*h**2. Let z be k(-13). Calculate the common denominator of (-8)/(-132)*z/(-4) and 137/24.
264
Suppose -4*v = 2*w - 2, 18 - 1 = -v - 4*w. Suppose -4*x = g + 10, 0 = -g + v*x + 15 + 3. What is the lowest common multiple of g and 44?
132
Let y = 2335 - 16399/7. Find the common denominator of -67/45 and y.
315
What is the smallest common multiple of (-1101)/(-24) + 7/(-112)*-2 and 184?
184
What is the common denominator of (-2)/(-17) + 9*492/(-3825) and -103/200?
200
Let v = 12 + -7. Suppose -3*u + v = 5*t - 19, -3 = 4*t - 5*u. Suppose -q + 2*m = -6 - 6, -2*q + 28 = -t*m. What is the lowest common multiple of q and 18?
180
Suppose 4*s + 42 = 5*x, 3*x - 2*s - 36 = -x. Calculate the smallest common multiple of 53 and x.
530
Let g = 10 - 6. Let y(l) = -4*l + 5. Let x be y(g). Calculate the least common multiple of (-2)/x + (-320)/(-55) and 4.
12
Suppose -5*c + b = -45, 8 = -3*c + b + 33. Calculate the smallest common multiple of 3 and c.
30
Let q(v) = 31*v + 2. Let a be q(-3). Calculate the common denominator of 18 and 20/70 + (-331)/a.
13
Let i be 3/3 - (-16)/(-1). What is the common denominator of (122/i)/((-16)/(-12)) and (77/110)/((-12)/(-50))?
60
Let h = 44 - 16. Let k = 36 - h. What is the least common multiple of 7 and k?
56
Let r = -4 - -5. Suppose 6 = 3*m + 3*w, 4*m + 3*w - 13 = -5. Suppose 5*z - z - 38 = m*c, -25 = -3*z - 2*c. Calculate the smallest common multiple of r and z.
9
Let s be 2/8 - (-71267)/(-504). Let b = s - -1155/8. Find the common denominator of b and 167/30.
90
Let q = -234 - -254. Calculate the smallest common multiple of q and 50.
100
Suppose -16*y = -35*y + 13*y + 198. Let f = 69 - 42. Calculate the lowest common multiple of f and y.
297
Suppose y + 167 = 3*j, -34*y = 4*j - 39*y - 219. What is the smallest common multiple of 40 and j?
280
Let c be 9/(-6)*11*-2. Suppose -c*u = -32*u - 40. Calculate the lowest common multiple of u and 20.
40
Let x = 747 - 447. Calculate the common denominator of -7/8 and 0 + x/32*-1.
8
Let v(w) be the second derivative of w**4/12 + w**3/2 - 13*w**2 - 27*w. Calculate the smallest common multiple of v(5) and 18.
126
Suppose 0*r + 6 = r. Suppose -149 = -10*v + 11. Calculate the lowest common multiple of v and r.
48
Calculate the lowest common multiple of 24 and -2 + (-4210)/(-20)*4.
840
Let z = 5114 + -970. Let w = z - 45618/11. What is the common denominator of (-5)/(-4)*(-202)/(-10) and w?
44
Let n = 7927/24 - 1915/6. Calculate the common denominator of n and -85/24.
24
Let o = 2804188/81 - 34619. Find the common denominator of o and 10/297.
891
Suppose 2*v - 11 = b, -b = 3*v - 6*b - 20. Let l be ((-38)/(-6870))/(v/(-7835)). Let p = l - -1/1145. What is the common denominator of p and 42?
3
Let y = -444115/44 - -10093. What is the common denominator of 31/6 and y?
132
What is the common denominator of 57/22 and (3/987*-118)/(240/(-70))?
6204
Let y be 303 + 1 + 19/(-19). Let f = y - 619/2. Find the common denominator of 85/4 and f.
4
Let m(c) = -551*c + 4. Calculate the least common multiple of m(-1) and 18.
3330
Let c(g) be the first derivative of 3*g**2 - 14 + 1/3*g**3 + 8*g. What is the smallest common multiple of c(-5) and 4?
12
Let r = 55143/33542 - 43/541. What is the common denominator of r and -69/22?
682
Calculate the common denominator of -125/72 and (-2180)/180*2/(-20).
360
Calculate the common denominator of -4 - ((-15)/(-3) + (-60)/27) and 0 - (-178)/12 - 0.
18
Let t = 407 + -3996. Let o = t - -114865/32. What is the common denominator of 117/40 and o?
160
Let g = 113 + -78. Calculate the common denominator of -38/7 and 2/(5/((-625)/g)).
7
Let f be 2 - ((-9)/(-3) + 0). Let w = -415013/110 - -18839/5. Find the common denominator of w and 9/16 - (f - -3).
176
Calculate the common denominator of -3 - ((-39)/(-26) + (-506)/180) and -67/45.
45
Suppose -2*l - 41 + 113 = 4*i, 5*i - 3*l - 68 = 0. Let a(s) = 5*s. Let h be a(4). Calculate the lowest common multiple of i and ((-4)/(-10))/(2/h).
16
Suppose -222 = -3*p + 57. Calculate the smallest common multiple of 9 and p.
279
Calculate the common denominator of -165*5/(-240) + -4 and 113/78.
624
Let a be (-8579)/((-4 + 34)/5). Let u = -1412 - a. Find the common denominator of u and 61/6.
6
Suppose 0 = -x + 2*p - 8, 3*p - 4*p - 1 = -3*x. Suppose 0 = 29*g - 47*g + 18. Calculate the lowest common multiple of g and x.
2
Let c(a) = -277*a**2 + 5*a + 5. Let k be c(-4). Let u = k + 35661/8. Find the common denominator of u and (-5 - (-123)/24)*(-2)/2.
8
Suppose 5*k - 17 = 343. Calculate the lowest common multiple of 60 and k.
360
Let c(r) = r**2 + 2*r + 8. What is the common denominator of (1/(-5))/((-448)/1190) and c(-5)?
32
Let m = -10 - 0. Let j = 23 + m. What is the least common multiple of 76/13 + 2/j and 18?
18
Let r = 3284 - 206918/63. Find the common denominator of r and -31/7.
63
Let d be 228/60 + 1/5. What is the smallest common multiple of 20 and d*(-52)/(-8) - 4?
220
Suppose 3*b - 2*z = 170, -z + 241 = 5*b - 38. Calculate the lowest common multiple of 64 and b.
448
Let h(b) = b**2 + 5*b + 4. Let d be h(-3). Calculate the lowest common multiple of 9 and 6*(d/4 + 1) - 1.
18
Let z = 127/35 - 711/140. What is the common denominator of z and -119/30?
60
Let b = -9 - -1. Let l be 6/16 - 127161/7992. Let w = 4/111 + l. What is the common denominator of b and w?
2
Let h(k) = -k**3 - 9*k**2 - 27*k - 81. What is the least common multiple of 332 and h(-7)?
1660
Suppose -514 = -38*d + 1158. Let v(b) = -b**3 - 7*b**2 - 6*b - 10. What is the lowest common multiple of v(-7) and d?
352
Let y be 1405/620 + 2/8. Let f = 2975/62 + y. Find the common denominator of 33/5 and f.
10
Suppose -18*s = 209 - 965. What is the lowest common multiple of s and 6?
42
Let t = -26 + 29. Calculate the common denominator of -11/30 and (t/(-27))/(5 + -4).
90
Let p = -1952 + 23357/12. Calculate the common denominator of p and -43/459.
1836
Let t = -3272 + 32643/10. What is the common denominator of (6468/224)/(6/4) and t?
20
Suppose 5*h - 21 = -k, -2*h - h + 2*k + 23 = 0. Suppose 10 = 5*x, -2*w + h*x - 38 - 12 = 0. Let t = -10 - w. Calculate the smallest common multiple of t and 10.
10
Let k be -1 - ((-8882)/(-2060) - -4). Let t = 246/103 - k. Calculate the common denominator of -13/4 and t.
20
Let h = 399 - 388. Calculate the lowest common multiple of 5 