Find the common denominator of (-9)/14*(-28)/48 and (-2)/(-1) + (-372)/64.
16
Let r(j) = 5*j**2 + 8*j - 23. Let c be r(5). Calculate the common denominator of c/32 - 5*(-6)/(-10) and -15/26.
208
Suppose 0 = 33*u - 30*u. What is the lowest common multiple of (u/(-3) - 2)*-8 and 6?
48
Suppose 134 - 114 = 5*s. Calculate the lowest common multiple of 6 and (-648)/(-32) + (-1)/s.
60
Let q = -100804 + 18144817/180. Find the common denominator of 109/126 and q.
1260
Let n(s) = -4*s**2 + 24*s - 18. Calculate the smallest common multiple of n(5) and 14.
14
Let w(h) = h**3 + 3*h**2 - 3*h - 3. Suppose -3*k = d + 80 - 388, 0 = k + 3*d - 108. What is the lowest common multiple of w(-3) and k/9 + (-2)/(-3)?
12
Suppose 0*l - 24 = -6*l. Suppose -5*j + 105 = -r, -j - 76 = -l*j - 2*r. What is the least common multiple of 18 and j?
198
Let v = -1120 + 14588/13. Calculate the common denominator of (-3 + 2)*53/8 and v.
104
What is the common denominator of 3 + (-3)/(-297)*-353 and 101/6?
198
Let u be (84/18)/((-2)/6). Suppose -3*j = 2*a - 10, 0 = 2*j - 0*a - 2*a - 20. Calculate the smallest common multiple of 4/u + 360/35 and j.
30
Let o = 3/145 + 67/3770. Let l = -572/15 + 1381/45. Calculate the common denominator of l and o.
234
Let f(a) = -a**3 - a**2 + a + 52. What is the least common multiple of f(-4) and 60?
480
Suppose -16*c + 11 = -229. What is the lowest common multiple of 27 and c?
135
Let a be (-6)/(-2)*1/(15/20). Suppose -5*c - a*v + 3 = -2*v, -v = -4*c + 5. What is the smallest common multiple of c and 20?
20
What is the common denominator of (-305)/30 + (-2)/(-8) and (0 + -1 + 223/124)/((-3837)/(-2558))?
372
Let b = -73977/22 + 3365. Let n be 8/(-28) + 19/(-7). What is the common denominator of (117/(-66))/n - -1 and b?
22
Suppose -5*o = -4*x + 729, -2*x + 4*o - 756 = -6*x. Calculate the smallest common multiple of x and 8.
744
Suppose 2*n - 28 = -5*n. Suppose -b + 50 = n*b. Calculate the smallest common multiple of b and 2.
10
Suppose 10*s - 15 - 65 = 0. What is the lowest common multiple of s and 16?
16
Let d = 1844/3 - 595. What is the common denominator of 43/42 and d?
42
Let u = -1 + 0. Calculate the common denominator of (-5)/20 + (-146)/56 and (-6)/(-22) + u + -2.
77
Let o = 49178 - 3688292/75. Calculate the common denominator of o and 59/30.
150
Let h = 1226171 + 1069928. Let p be (0 - -1)*h/286. Let l = -8030 + p. Find the common denominator of 97/12 and l.
132
Let l(p) = 30*p**2 - 4*p + 6. Let q be l(-7). Let d = -1679163 - -23487241/14. Let t = q + d. Find the common denominator of t and 29/16.
112
Let q = 7705/288 + -705/32. Let b be (-3057)/2*(-6)/(-9). Find the common denominator of q and (b/52 - (-2)/(-13))/2.
72
Let q = 203 + -143. Suppose -n - 11 = -2*n. What is the least common multiple of n and ((-2)/5)/((-3)/q)?
88
Suppose 0 = 3*r - 4*k + 7, -3*k + 11 - 4 = -4*r. Find the common denominator of ((-63)/16)/((-4)/16) and ((-78)/72)/(r/4).
12
Let t(i) = 6*i - 77. Let a = 366 - 580. What is the common denominator of t(9) and (1/4)/(3/a)?
6
Suppose 5*j - 105 = -b, -3*j + 3*b + 29 + 16 = 0. Calculate the lowest common multiple of 12 and j.
60
Calculate the lowest common multiple of 2 and (6/(-5))/((-147)/980).
8
What is the common denominator of -64/15 and 4/144*4*(-375)/265?
795
What is the smallest common multiple of 72 and 450/250*(1 - -19)?
72
Let q = 30 - 26. Suppose 3*c - c = 40. Calculate the least common multiple of q and c.
20
Suppose 5*t = 4 + 66. Let v = -30073/6 + 4997. Calculate the common denominator of (-16)/t*4/1 and v.
42
Let j be (-2)/(-1) + (-12891)/(-14796). Let u = j + -9/137. Calculate the common denominator of -5/6 and u.
36
Find the common denominator of (7 - (-1225)/(-224))*-4 and -18/7.
56
Let c(i) = -5*i**2 + 2*i - 2. Let m be c(2). Suppose o - 15 = 5*p + 12, -4*o - 3*p = 7. Calculate the common denominator of (o/m)/((-6)/(-66)) and 131/6.
18
Let z(g) = -183*g + 2201. Let r(j) = j**3 - 4*j**2 + 3*j + 3. Let f be r(3). What is the least common multiple of -4*f/(24/(-14)) and z(12)?
35
Let n = -208 + 141. Let j = 73 + n. What is the least common multiple of j and 6?
6
Let d(v) be the second derivative of v**5/20 - 5*v**4/12 - 2*v**3/3 - 5*v**2/2 + 3*v. Calculate the smallest common multiple of d(6) and 6.
42
Let y = -28 + 22. Find the common denominator of 2/y - (-124)/120 and 51/2.
10
Let h(t) = t**3 + 6*t**2 + t + 6. Let s be h(-6). Suppose -5*y - 33 = -w - s*w, 3 = -3*y. Calculate the lowest common multiple of w and 8.
56
Let b be ((-1)/5)/(14/1786). Let m = b - -194/7. Calculate the common denominator of 3654/(-980) - -2 - ((-32)/20)/2 and m.
70
Suppose -k = 2*k. Suppose k = v - 3 - 1. What is the smallest common multiple of v/(-2) + 21 + -1 and 16?
144
Let x(q) = -4*q - 29. Let g be x(-8). Suppose -2*y = 2*d + 48, -g*d + 3*y = 6 + 60. Calculate the common denominator of (-22)/(-3)*9/46 and d.
23
What is the lowest common multiple of 96/36 + 1/3 and 15?
15
Let t = -117563/352600 - -696/1075. Calculate the common denominator of -14/451 and t.
3608
What is the common denominator of -4 + (-11)/6 - (-7)/21 and 37/11?
22
Let j(c) be the second derivative of c**4/12 + 4*c**3/3 + 3*c**2/2 - 7*c. Let d be j(-9). Suppose 2 = -a + d. What is the smallest common multiple of a and 13?
130
Find the common denominator of 2/8 + (-5031)/1716 + 1 and 111/20.
220
Suppose -5*q = n + 3, -4*n + 2*n - 5*q = 1. Suppose 3*d = 38 - n. Calculate the smallest common multiple of -7 - -11 - (-1)/1 and d.
60
Calculate the smallest common multiple of (4*(-3)/36)/((-2)/180) and 97.
2910
Let h = 342 - 320. Calculate the least common multiple of 94 and h.
1034
Find the common denominator of 13/12 and 13*3/234 + (-13)/(-40).
120
Suppose -2 = -8*j + 110. What is the least common multiple of j and 14?
14
Let n = 17859064919/391776 + -4375463/96. Let f = 3/583 - n. What is the common denominator of f and -62/5?
35
Let n(g) = g**3 + 5*g**2 + 5*g + 5. Let p be n(-4). Let s be (2703/(-6) + -3)/p. Let w = s + 486. Find the common denominator of w and 103/22.
22
Suppose 2*d = -2*n + 22, -10*n - 5 = -9*n - 3*d. Calculate the lowest common multiple of n and 1.
7
Let n = 60 - 48. What is the common denominator of (1032/(-60))/(n/(-10)) and 46/11?
33
Suppose -3 = h - 2, 0 = -2*u - 5*h + 3. Let k be 27642/(-6378) + (-2)/u. Let w = k - -2/3189. Calculate the common denominator of -37/17 and w.
102
Calculate the common denominator of -71/90 and (-3076)/450 + 36 + -29.
450
Let h = 3557 + -1013744/285. Let n = h - -15667/2280. What is the common denominator of 39/8 and n?
8
Suppose 331*m = 336*m - 4*u - 142, -4*m + 126 = 3*u. Calculate the least common multiple of 315 and m.
630
Let p(i) = i**2 + 3*i. Let t(j) = 2*j - 3. Let u be t(-1). Suppose -g - 30 = -3*g. What is the lowest common multiple of p(u) and g?
30
Let b = -12015 - -168269/14. Suppose -4*a = 4, 0 = -3*k - 5*a - 11. Find the common denominator of k/(-6)*219/20 and b.
140
Suppose -5*l + 4 = 3*h - l, 0 = 2*l - 2. Let x = 9 + h. Let p = 6 - 0. What is the smallest common multiple of p and x?
18
Let i = -3046/3 - -994. Find the common denominator of ((-13)/(-2))/(3/3) and i.
6
Let s be 3/(-12)*-4*-2. What is the common denominator of -53/9 and (-912)/(-140)*1 + s/(-10)?
63
Let a = 42463/8624 + -60/539. Let d = -23/35 - 2929/70. What is the common denominator of d and a?
16
Suppose -6*q + 8 = -28. Suppose 0 = 2*d - 8 + 2. Suppose 8*s - 4*f = 6*s + 6, 0 = -3*s - d*f. What is the lowest common multiple of q and s?
6
Let o = 12 - 6. Suppose 4*u - 4 + 8 = 0. Calculate the lowest common multiple of 15 + -1 + 5 + u and o.
18
Let n be (9/12*-1126)/99. Let o = -26/11 - n. What is the common denominator of (-1)/2 + (-48)/21 and o?
42
Let u(o) = o**2 + 4*o + 12. Suppose -2*j - j + 1 = -c, -3*j + 2*c = -2. Calculate the smallest common multiple of u(j) and 8.
24
Let l(f) = -f**2 + 35*f + 136. Calculate the least common multiple of 88 and l(27).
352
Let x = -1316 + 18427/14. Calculate the common denominator of x and 77/1154.
8078
Suppose 0 = -38*i + 67*i - 174. Calculate the least common multiple of 102 and i.
102
Let q = -12048 - -216725/18. What is the common denominator of 657/(-102) + 2 + 2 and q?
306
Let l = 240 - 312. Let f(x) = -x**3 - 8*x**2 - 5*x. Let y be f(-5). Let v = y - l. Calculate the least co