 Let x = c - -3. Let s = x - 60. Calculate the least common multiple of 48 and s.
48
Suppose 437*m + 6 = 443*m. Let c = -6 - -9. Calculate the smallest common multiple of m and c.
3
What is the common denominator of -1 + (3/(-6))/((-380)/872) and 53/247?
1235
Let a = -6029/2 + 235177/78. Calculate the common denominator of a and (-1)/(-4) + (-3)/(-36).
39
Let s(v) = v**3 - 8*v + 11. Let x be s(2). Suppose 11*o = -x*o + 756. Calculate the least common multiple of o and 66.
594
Suppose 0 = -3*b + 33 - 6. Find the common denominator of 69/8 and ((-131)/9)/(132/b).
264
Let d = 1292171/48 - 26918. What is the common denominator of -53/2192 and d?
6576
Let s = 26916273/4 - 296291861/44. Let h be 100/10 + -7 - -4831. Let w = s + h. What is the common denominator of 91/18 and w?
198
Suppose 0 = 4*l + 23 + 89. Let w be (-18 + 15)/(((-8)/(-82))/4). Find the common denominator of 23/2 and ((-21)/l)/(27/w).
12
Let g be ((-9651)/(-225))/((-422)/(-10) + 4). Let x = 97/315 + g. Calculate the common denominator of x and 17/50.
550
Let j = -300 - -170. Let n = 70 + j. Find the common denominator of (94 + -1)*(-6)/n and -12.
10
What is the common denominator of 65/77 and (46/4)/((23 - 22)/((-6)/(-21)))?
77
Let t = 199043/221840 - 27/2773. What is the common denominator of t and (-45)/42 - (6 - 6)?
560
Suppose -3*k = r - 107, 0*k - 5*k - 455 = -5*r. Suppose 11*g - 70 = r. What is the smallest common multiple of 4 and (-5)/g - 21/(-9)?
4
Let s be (2*(-1)/(-8))/139. Let o be 12218/(-7784) - 7/14 - -5. Let q = s - o. Find the common denominator of 51/22 and q.
154
Suppose -81*c - 135 = -84*c. Suppose 4*t = -2*f + 66, 5*t - 3*f = 2*f + c. Let w = t + 19. What is the lowest common multiple of 18 and w?
198
Let t(s) = 6*s + 2. Let u(j) = -j + 1. Let v(m) = -3*t(m) - 21*u(m). Let b(p) = p**2 + 20*p + 81. Calculate the least common multiple of b(-5) and v(11).
6
Suppose -6268 - 6939 - 409 = -46*m. What is the smallest common multiple of 108 and m?
7992
Suppose 0*n - 151 = -5*c + 4*n, 4*n = 4*c - 124. What is the common denominator of 60/c + 3 + -3 and (1074/(-90) + 5)/((-2)/5)?
9
Suppose d + 19 = 2*a, a - 4*d - 35 = -29. Suppose 0*q + a = 2*q, o + 3*q - 48 = 0. What is the lowest common multiple of o and 219?
2409
What is the common denominator of (-980)/3185 - (-15)/936 and 95/2056?
6168
Suppose 10*l + 2*m + 112949 = 13*l, 3*m = l - 37652. What is the smallest common multiple of 7 and l?
263543
Let h = 49/8 - 205/8. Calculate the common denominator of -1/21438 and h.
21438
Let j = -459 - -839. What is the common denominator of 3/16 and (-5)/(-10) - j/32?
16
What is the lowest common multiple of (-108)/(-495)*-11*((-158)/4 + 2) and (8 + 1)/(3/40)?
360
Let y = -84158 - -40648225/483. What is the common denominator of y and 22/15?
2415
Suppose -23850*t - 2210 = -23915*t. What is the common denominator of t and (-305)/(-8)*2/15?
12
Suppose 9*x - 6*x = 2*p - 39, -5*p + 115 = -4*x. Suppose -5*o + 74 = -61. What is the smallest common multiple of p and o?
27
Let k(n) = 13*n - 2. Suppose 0 = r + 1, 11*r - 9*r - 160 = -3*c. What is the lowest common multiple of c and k(2)?
216
Let o be (-558)/(-14) + 1/7. Let v be ((-16)/o)/(2/10). Find the common denominator of 28/5 and v/5 + 3951/(-360).
40
Suppose 0 = 2*l - y - 481, 0 = -2*l + 3*y + 282 + 201. What is the least common multiple of 528 and l?
2640
Suppose 12 = -5*j + 4*t, 0 = -3*j - j + t - 3. Suppose 0*a - a + 14 = j. What is the smallest common multiple of a and 3/2 - (-4606)/188?
182
Let w(t) = 860*t - 23. Let v be w(-5). Let m = v - -142742/33. Let n = -5675 - -204253/36. Calculate the common denominator of m and n.
396
Let l be 0 + 3 + 1/(-1). Find the common denominator of -2 + 1 + (-102)/(-15) and 192/213 + 1 - l.
355
Suppose -x - 898 = 4*q, -5*q + 4*x - 908 = -q. Find the common denominator of (-86)/72 - 4/18 and q/(-250)*1*7*2.
60
Find the common denominator of (1330/(-525))/((-104)/(-162)) + 1*4 and -11/70.
910
Let a(h) = -h**2 + 9*h + 10. Let k be a(10). Suppose -3*l - 6*l = k. Let y = 12 + l. Calculate the least common multiple of 6 and y.
12
Suppose 3*d + 17*x - 22*x = 980, -2*x - 1274 = -4*d. Calculate the least common multiple of d and 50.
3150
Calculate the lowest common multiple of 500 and (294/(-196))/((26/3000)/(-13)).
4500
Find the common denominator of (6 + 16 + (-27113)/1292)*2/(-285) and 83/114.
9690
Calculate the common denominator of -107*(-40)/(-30)*(-4)/(-736) and 133/24.
552
Let r = 1061 + -1049. Suppose 2*d + 2*f = 4, 0 = 4*d + 2*f + f - 11. Suppose -24 = d*y - 84. Calculate the lowest common multiple of r and y.
12
Let j = 16 - 2. Suppose 427*s = 885*s - 414*s - 528. What is the smallest common multiple of j and s?
84
What is the common denominator of 35/314 and 11652/(-4736) - 68/(-1258)?
5024
Let z = -3/27766 - -1888193/971810. Calculate the common denominator of (116/24)/((-5)/(-4)) and z.
105
Let w(o) = 3*o + 69. Let j be w(-24). Find the common denominator of 1*((-96)/54 - j) and 71/9.
9
Let x(c) = -c**3 + 8*c**2 + c - 1. Suppose g - 3*k - 10 + 4 = 0, 0 = 5*g - 4*k - 41. Calculate the smallest common multiple of g/(-4)*(34/(-6) + 3) and x(8).
42
Calculate the common denominator of 240034/40004 + -432 + 426 and -79/2.
20002
Suppose -5*d + 112*a = 113*a - 19, 0 = -5*d - 2*a + 18. Suppose 0 = 3*z - 6, c - 54 = -5*z + z. What is the smallest common multiple of c and d?
92
Let y(k) = k**3 + 9*k**2 + 5*k - 11. Let w be y(-8). Suppose -6*x + w*x - 7 = 0. What is the smallest common multiple of 78 and x?
78
Let l be -1*(-161903)/189*-3. Let b = l + 2562. What is the common denominator of b and 68/39?
117
Find the common denominator of -101/170 and (-60)/(-272)*(-120)/(-20).
170
Suppose -442881 = -33*y + 6*y. Let j = 393601/24 - y. Find the common denominator of 7/480 and j.
480
Let g be (20/16)/((-5)/120). Suppose -160 = -4*s - 2*i, -2*s + 3*i + 120 = s. Calculate the least common multiple of s and g/(-240) + 126/16.
40
Let j be (1 + -403)*-3*9/(-594). Let t = -10259/550 - j. What is the common denominator of 17/18 and t?
450
Suppose -4*l - l = -55. What is the smallest common multiple of l and ((-20)/(-200)*6*1)/((-5)/(-150))?
198
Calculate the common denominator of -15/8 and ((-4)/(-48) - (-489)/180)/582.
11640
Let j be (-2 - -5)*(-3)/8127*-2749. Let b = -49/43 + j. Find the common denominator of 22/3 and b.
21
Let v = 142 - 140. Calculate the least common multiple of 78 and 9*v/3 - -59.
390
Suppose -2*y + 4*y = 14. Suppose 0 = -18*j - 31*j - 3136. Calculate the least common multiple of y and (j/8)/(-4 + 2).
28
Let n(o) = -4*o - 6. Let v = 32737 - 32733. Calculate the smallest common multiple of v and n(-6).
36
Let n = 3370 - 3362. What is the lowest common multiple of n and 8/(-10)*(-10)/2?
8
Suppose y + 55 = 56. Find the common denominator of (y - 30/27) + 19629/38880 and 8/5.
160
Let t = -215 + 224. Let r(w) = 4*w**3 - 35*w**2 - 5*w + 20. Calculate the lowest common multiple of r(t) and 105.
840
Let c = -1162837/166 - -7005. Let r = 4793/498 - c. Let i = -5308/3 + 1792. Find the common denominator of i and r.
3
Calculate the smallest common multiple of 84 and (-210)/25*(3 - (-153)/(-21)).
252
Suppose -8*y = -5*i - 9*y + 8, 2*y = -4. Calculate the common denominator of 87/70 and i + (-10)/6 + (-992)/(-336).
70
Let b be 2440/(-1950) + (-4)/30. Let d = -1633/1170 - b. Calculate the common denominator of d and (321/48)/(6 + -5) + -5.
720
Let g = 170 + -160. Find the common denominator of ((-1537)/(-1450))/((-4)/g) and -113/20.
20
Let x = 141042 + -126232648/895. Calculate the common denominator of x and 9/1432.
7160
Suppose -d - 4 = -4*w, -4*w - 3*d + 18 = 14. Let s(r) = -15 + 16*r - 7*r - 7*r. What is the smallest common multiple of s(8) and w?
1
Let w(s) = -2*s**3 + 25*s**2 + 2*s. Let n be w(17). Let p = -23131/9 - n. Let c = -363 - -1076/3. Calculate the common denominator of p and c.
9
Let r be (146407/4)/((-183)/(-60) + -3). Let l = r + -786205663/1074. Find the common denominator of 9/14 and l.
7518
Let k = -9032 - -9053. Calculate the smallest common multiple of 48 and k.
336
Suppose -365*a + 4326 + 1149 = 0. Calculate the lowest common multiple of a and 205.
615
Let p = 674 + -661. Let q = p + -11. What is the lowest common multiple of 28 and q?
28
Calculate the common denominator of 10