the common denominator of (-65)/(6/(-9)*-3) and -7 - ((-114)/(-64) + -6).
32
Suppose 0 = -8*f + 4*f + r + 4, -2*f - 2*r = 8. Find the common denominator of 2 + (-112)/10 + f and 1 - (92/(-22))/2.
55
Let n = 35791 - 129277091/3612. Let m = -78559/7224 - n. Find the common denominator of m and -3/5.
40
Suppose 4*k - 5*q - 17 = 0, 0 = -2*k + q + 7. Let j(s) = 2*s - 3. Let r be j(k). Calculate the common denominator of 67/9 and -3 + ((-804)/16)/r.
36
Let t = -66590 + 11653212/175. Calculate the common denominator of t and 181/150.
1050
Let o be 7/21 - 166/(-6). Let a = 37 - o. Suppose -a + 35 = h. What is the smallest common multiple of h and 16?
208
Suppose -13*z + 12 = -12*z. Find the common denominator of ((-116)/(-3))/4 + z/16 and 127/30.
60
Suppose -2*j = d - 35, -5*j + 35 = -d - 35. Calculate the lowest common multiple of 18 and j.
90
Let h = 447 + -441. Let t = 6 + 8. What is the smallest common multiple of h and t?
42
Let q = 2428 + -48463/20. Let f be (2/10)/((-38)/3961135). Let o = f - -20850. What is the common denominator of o and q?
380
What is the smallest common multiple of 495 and (-1 - 54)/(56/(-112))?
990
Let d = 139 + -106. Suppose 14*b - d = 135. Calculate the lowest common multiple of 22 and b.
132
Let i = -6 + -55. Let y be 1/(1/i)*-1. Suppose 2*w - v - y = 0, -3*v + 2*v - 1 = 0. Calculate the least common multiple of w and 6.
30
Let v = 581 - 554. Calculate the lowest common multiple of 39 and v.
351
Suppose -32*o + 22*o = -7880. Calculate the least common multiple of 4 and o.
788
Suppose -4*c = 8, 23 = -3*x + 3*c + 53. Calculate the least common multiple of 16 and x.
16
Let m(y) = -y**3 + 6*y**2 - 5*y + 3. Suppose 2*u - 4*a = -u, -2*u + 20 = 4*a. What is the smallest common multiple of m(u) and 1?
15
Let k(s) = -11*s**3 - 3*s - 2. Suppose 43*u - 2 = 45*u. What is the smallest common multiple of k(u) and 9?
36
Let y(p) = -p**2 + 14*p - 30. Let m(c) = 2*c**2 - 5*c + 3. What is the smallest common multiple of y(10) and m(3)?
30
Suppose 9*t + 9 = 8*t. Find the common denominator of 2/(t/(297/20)) and 31/9.
90
Find the common denominator of 101/1988 and ((-2)/(-4 + -12))/(7/(-36)).
1988
Calculate the smallest common multiple of ((-35)/(-21))/5*1*3 and 1110.
1110
Suppose 127*q = 117*q + 20. Calculate the least common multiple of 14 and q.
14
Suppose -170 - 578 = 11*l. Let m = -28 - l. What is the smallest common multiple of m and 20?
40
Let h(p) = 31*p + 6. Let g be h(-4). Let w = -24 + 21. Find the common denominator of -1 + w - g/44 and -59/6.
66
Let x = -2202/5 - -439. Find the common denominator of x and -111/20.
20
Let b = 333 + -321. Calculate the smallest common multiple of b and 9.
36
Suppose -3*f = 4*q - 112, -2*f + 3*q = f - 84. Let y = f - 25. What is the smallest common multiple of y and 6?
42
Find the common denominator of (3160/(-186))/2 + 8 and -27/155.
465
Let g = 20951 - 13618. Let m = -58747/8 + g. Calculate the common denominator of m and -45/2.
8
Let d = 1656/49 - 53981/1764. Calculate the common denominator of d and 29/474.
2844
Let o = -546 + 566. Let j = 3 + 0. Suppose -9 = j*v, 2*v + 94 = 2*a + 2*a. Calculate the lowest common multiple of o and a.
220
Suppose -8356 = -5*l + 12044. Let b be (-11991)/l - (0 + 2). Let q = 21/170 - b. What is the common denominator of q and 27/14?
112
Calculate the common denominator of 69/22 and (67/(-335) - 1174/(-320)) + -6.
352
Let q = -77759069/10602 - -139410/19. Let a = q - 184/31. Calculate the common denominator of a and (-46)/36 - (-14 - -12).
18
Let c(d) = -22*d + 97. What is the lowest common multiple of c(4) and 3?
9
Suppose 0 = -p - 5*k - 4, -2*p + k = 15 + 15. Let n = p + 17. Suppose -5*m + 5 = 0, 4*m - 4 + 3 = n*u. Calculate the smallest common multiple of 2 and u.
2
Find the common denominator of -81/22 and (4/(-6))/(2 - (-922)/15).
5236
Let d be 357/(-117) - ((-3 - -6) + -4). Let m = 785/858 + d. What is the common denominator of m and -57/110?
110
Calculate the common denominator of 101/6 and ((-4)/(-10))/((-154)/(-1210)).
42
Let o be (-4)/(-8) - (-1)/20*9407. Let v = 471 - o. Find the common denominator of v and 21/11.
220
Let a = 11 - 6. Let b be (-4026)/(-4) - a/15. Let q = -993 + b. Find the common denominator of -10/7 and q.
42
Let z = -17 - -36. Suppose 5*n + 4 = -3*p - 9, z = p - 3*n. Suppose 5*j - 2*k = 2*k + 30, -4*j - 5*k = -65. Calculate the least common multiple of j and p.
20
Suppose 21 = -30*y + 81. Calculate the least common multiple of 435 and y.
870
Let j be 2/(-16) + 45884/(-32). Let v = j + 2955/2. Find the common denominator of (-2)/(-2) + (-728)/98 and v.
14
Let k = -9/28 - 1047/140. Find the common denominator of 7/32 and k.
160
Find the common denominator of 1 - 2 - 82*3/204 and 213/(-84)*-2 + 3.
238
Let m be 21*(-25)/(-70)*24. Find the common denominator of 0 + 515/m + -3 and 17/6.
36
Let n = 18045/8 + -453813/200. Let u = -842/75 + n. What is the common denominator of 51/7 and u?
21
Let d = 72/65 + -3353/1560. Find the common denominator of d and ((-87)/2)/(13 + 17).
120
Let d(w) = -29*w - 67. What is the least common multiple of d(-3) and 82?
820
Let g be 6 + 0*(-3)/12. Let z = 9 - g. Suppose 2*c = -u + 2, -z*u - 5*c + 14 = u. Calculate the least common multiple of u and 4.
12
Let s = -24824935/216 - -114930. Calculate the common denominator of -85/108 and s.
216
Let w = 41153/8 - 5137. What is the common denominator of (1/((-84)/(-15)))/(42/35) and w?
168
Suppose y = -4*i + 92, -2*i - 6 = -3*i + 4*y. What is the least common multiple of 3/5 + -1 + (-168)/(-20) and i?
88
Let f = 596/7 + -2503/28. Calculate the common denominator of (2 - -11)*(-56)/(-64) and f.
8
Let s = 10696 + -22541/2. Let y = s + 617. Find the common denominator of -93/2 and y.
2
Let c = 575/8 + -247/4. Suppose 0*z = -z - 1410. Let j = 2721/2 + z. Calculate the common denominator of j and c.
8
Suppose 4*t - 2375 = 5*m, -9*t + 6*t - 2*m = -1764. What is the lowest common multiple of t and 6?
1770
Let o be (11 - 12) + 2*3. Suppose o*d + 0*d + y = -370, -4*d - 4*y - 280 = 0. Calculate the common denominator of 15/2 and ((-5)/d)/((-4)/(-339)).
20
Suppose -g - 2*s + 0*s - 33 = 0, s = g + 27. Let o be 3/g*178/(-3). Let y = -3002/319 + o. Calculate the common denominator of 69/8 and y.
88
Suppose 2*i + 17 = 39. Let j(d) = -10*d - 9. What is the smallest common multiple of i and j(-2)?
11
Suppose 314*z - 317*z + 60 = 0. Calculate the smallest common multiple of 76 and z.
380
Suppose 4*d + 4*g = 36, 3*d + 2 = 4*g - 6. Suppose 3*z - d*x - 100 = -z, 4*x + 12 = 0. What is the smallest common multiple of 16 and z?
176
Suppose -3*x + 18 = 132. Calculate the lowest common multiple of 5 and (((-26)/4)/(-13))/((-1)/x).
95
Let l = 0 + 10. Let x = -15 + 16. Let m(a) = 7*a**2 + 2*a - 1. What is the least common multiple of l and m(x)?
40
Calculate the common denominator of (-108)/16 + (0 - -1) and -4 + (-140)/(-36) - (-1 + 0).
36
Suppose -4*p + 221 = -q, -q + 123 = 2*p - 4*q. What is the lowest common multiple of 11 and p?
594
Suppose 0 = -3*y - 4*o + 10, -o - 4*o + 25 = 5*y. Suppose 9*t - 38 = y*t. Calculate the common denominator of -67/4 and t.
4
Let c = -85 + 60. Let y = c - -24. What is the lowest common multiple of 12 and ((-3)/y)/(12/16)?
12
Let l = -5 - -7. Find the common denominator of ((-198)/4)/(l + 10) and ((144/(-10))/2)/(-1).
40
Suppose 68*j - 12792 = -14*j. What is the smallest common multiple of j and 9?
468
What is the lowest common multiple of 10 and 36/(-30)*1120/(-24)?
280
Let z be ((-2)/3)/(-4 - 178/(-45)). Suppose -z = -5*x - 5. What is the lowest common multiple of x and ((-5)/10)/(2/(-36))?
18
Let s(h) be the first derivative of h**3/3 - 3*h**2 + 6*h - 1. Let i = -69 - -75. What is the lowest common multiple of 18 and s(i)?
18
Let h = 102 - 51. What is the smallest common multiple of 12/20 + h/15 and 20?
20
Let m = 55049/15 + -3672. Find the common denominator of m and (20/6)/(48/(-117)).
120
Suppose 0 = -4*f - 53 - 567. Let k = 953 + f. What is the common denominator of 1/3 - 3211/k and 65/8?
168
What is the lowest common multiple of 41 and 10/((-40)/4)*75/(-3)?
1025
Suppose -3 = -t - 0. Suppose 3*m + 3*b = 9, 2*m + m + b = -1. What is the least common multiple of (-4)/m*(2 - 1) and t?
6
Let x(a) = 7*a**2 + 104*a - 11. Calculate the lowest common multi