 3*k = 2*z - 25242. Let i = 163975/26 - k. Calculate the common denominator of 31/24 and i.
312
Let y(w) = -2*w**3 + w**2 + 8*w + 7. Let o be y(3). Let t(m) = m + 30. Calculate the smallest common multiple of 38 and t(o).
304
What is the common denominator of (1 - 6*(-2)/(-9)) + 49/(-45) and 46/215?
1935
Suppose -4*w + y = -29, 0*y - y = 1. Suppose -w*t = -9 - 2525. What is the lowest common multiple of t and 14?
2534
Suppose 0 = -y - 5*m - 15, -m = -4*y - 26 - 55. Let r = y + 32. Suppose -r = 2*i - 5*i. What is the smallest common multiple of 4 and i?
4
Let x(s) = -s**3 + 17*s**2 - 13*s - 37. Let d be x(16). Let p(c) = -1 - 1 + 2 - d*c**2 - 3 - c**3 - c. What is the lowest common multiple of 48 and p(-11)?
48
Let y(f) = -239 - 233 + 490 + f. Let i be y(-12). What is the least common multiple of (-2 - 16)*i/(-4) and 9?
27
Let s(t) be the second derivative of -t**3/3 - 15*t**2/2 + 54*t - 1. Calculate the least common multiple of 156 and s(-18).
1092
What is the common denominator of -89/1080 and -1 + (-78)/(-6) - (-40463)/(-3268)?
20520
Let b = -13830839/90 - -153678. Find the common denominator of (-11)/242 - 657/(-1782) and b.
990
Suppose 12*f - 45*f + 22*f + 1419 = 0. Calculate the least common multiple of f and 1032.
1032
Let n(c) be the third derivative of c**5/30 + 15*c**4/8 - 7*c**3 + 91*c**2. Calculate the lowest common multiple of 66 and n(-24).
330
Let r(m) = -1 + 6 - 4*m - 13 + 1. Let c be r(-3). Suppose -c*v + 13*v - 112 = 0. What is the lowest common multiple of 22 and v?
154
Let k = 42113/2448 + -613/34. Find the common denominator of -71/384 and k.
1152
Let y = -93713/6390 - -2312/213. Let g = y - -1/9. Calculate the common denominator of g and -3/26.
130
Suppose -308 = 13*y - 1010. What is the common denominator of -29/9 and (-309)/y*((-22)/8 - -3)?
72
Let k = -1432561/58 + 24698. Let g = 4441/236 + 114/59. Find the common denominator of k and g.
116
Let i = -8071 - -266378/33. Let t = -17862707/27 + 661580. Calculate the common denominator of t and i.
297
Let p = 3313 - 2459. What is the smallest common multiple of p and 610?
4270
Let r be 32/(-12928)*4916/14. Let u = r + -6/101. Calculate the common denominator of -163/84 and u.
84
Let n = -47377/20 + 2370. Suppose 4 = 2*z - 4, -4*g + 5*z = 700. Find the common denominator of n and (-51)/g*6/4 + 0.
20
Suppose 10*l + 750 = 35*l. Suppose -85*v + 90*v = l. Calculate the smallest common multiple of v and 118.
354
Calculate the smallest common multiple of ((-64)/(-14))/((-1120)/(-3920)) and 2532.
10128
Let k = 35849/17640660 + 1/12423. Let q = k + -17413/8520. Let f = 443/84 - 27/7. What is the common denominator of f and q?
24
Let c(l) = -75*l - 7. Let z be c(3). Calculate the common denominator of 12256/960 - (-1)/(-6) and z/(-18)*(-6)/(-16).
30
Let d(q) = -90*q**3 + 6*q**2 + q - 13. Let y be d(-4). Let i = y + -58341/10. Find the common denominator of -59/8 and i.
40
Suppose -15*i = -13*i - 76. Calculate the smallest common multiple of (-2)/(-5)*(-15)/(-12)*i and 5.
95
Suppose 5*v + 20 = 0, -l + 20 - 4 = -3*v. Let o(i) = -3*i**2 - 14*i. What is the smallest common multiple of o(-4) and l/18 - (-133)/9?
120
Calculate the common denominator of (-2)/108*7052/861 and 82/441.
3969
Suppose 3*r = -2 - 1. Suppose 4*u = -27*m + 23*m, -4*m + 4*u + 32 = 0. What is the common denominator of -23/4 and m*r + 114/216?
36
Suppose 105 = o + 3*s, 0 = -4*o - 0*s - s + 387. Suppose 3*f - 2*k = 5*f - o, 0 = -4*f - 5*k + 196. What is the lowest common multiple of f and 20?
220
What is the common denominator of 90/(-21)*(-140)/100 + 3022/(-520) and 11/32?
2080
Suppose 204 = 10*m - 406. Let a = -57 + m. Suppose -3*u - 3 = -3*y, -a*y + 0*u = 5*u - 4. What is the smallest common multiple of y and 7?
7
Find the common denominator of -155/1632 and (14/170)/(-7)*((-2074)/18)/(-17).
24480
Suppose -x - 18*x - 13110 = 0. Let l = 1706 + x. Calculate the smallest common multiple of l and 12.
3048
Let n = -19992 - -6909. Let a = n + 523351/40. What is the common denominator of a and -43/110?
440
Let j = 557078/7865 - 1841/26. Calculate the common denominator of 23/968 and j.
4840
Let h be 44/3*15/10. Let b be (9/(-2))/9*12. Let y = h + b. What is the lowest common multiple of 2 and y?
16
Let g = -914816 - -157347833/172. Let h = 10/43 - g. Calculate the common denominator of h and (1/(-15))/(6/(-915)).
12
Let t = 57 - 55. Suppose -2*j = t*i - 296, -6*i + 5*j + 628 = -2*i. Let c = i + -96. What is the least common multiple of 14 and c?
56
Find the common denominator of -80/651 and (70/264 - 24/132)/((-4)/(-536)).
1302
Suppose -7*k - 90 = -25*k. Suppose -3*u + 2 = h - 0, -2*u + h = -3. What is the lowest common multiple of u/(-2 - (-19)/9) and k?
45
What is the smallest common multiple of 15 and 240/40*(-1)/(-2)?
15
Let d be 1 - (-2 + 37/17). Let v = d + 567/34. What is the common denominator of v and (140/(-120))/(12/54*2)?
8
Suppose 25*k = 22*k + 6. Suppose 3*q + 0*t = -2*t + 10, -k*q + 10 = -2*t. Suppose -8*s + 12 + q = 0. What is the lowest common multiple of s and 5?
10
Let f(v) = -324*v + 4572. Calculate the lowest common multiple of 468 and f(13).
4680
Let h(n) = 3*n + 3. Let f be h(-3). Let r be 4/f - 11/((-132)/80). What is the common denominator of 13/21 and r + 78/(-12) - (-130)/28?
21
Suppose -2*g - j = g + 2, 0 = g - j - 6. Let h(l) = -l**3 + 2*l**2 + 186*l - 237. Calculate the lowest common multiple of h(14) and (-92)/(-10) + g/(-5).
45
Let r = 591161/33 - 17916. Find the common denominator of r and -163/7176.
78936
Suppose -n - l - 466 = 0, 4*l + 12 - 32 = 0. Let w = n - -534. What is the lowest common multiple of 84 and w?
252
Let h = 138 + -138. Find the common denominator of 5 + h/(-6) + 243/(-12) and 97/28.
28
Let s(f) = 10*f**2 + 13*f + 5. Let z be s(-7). Suppose -5*p - k = -0*k - 2072, -p = -5*k - z. Calculate the lowest common multiple of p and 8.
1656
Suppose 0 = -5*s + 5*h + 35, -2*s - s + 4*h + 26 = 0. Let x be ((-60)/25)/1*20/(-3). Suppose 0 = 14*t - 68 - x. What is the smallest common multiple of t and s?
6
Suppose 2*t - 12 = -5*h, 92*t + 24 = 94*t - h. What is the least common multiple of 15705 and t?
172755
Suppose 6*a + 0*a - 36 = 0. Suppose 8*l - 5*l - a = 0. Suppose 0 = 3*m + l*h - 44, -3*m = h - 30 - 13. What is the least common multiple of m and 4?
28
Let o = -8/433 - -175397/1732. Let m(z) = -10*z**2 - 3*z + 2. Let t be m(3). Let y = o + t. Calculate the common denominator of y and -36/41.
164
Suppose 3*l - 118 = 4*t, -6*l - 4*t = -8*l + 76. Let p = 9 - -61. What is the least common multiple of l and p?
210
Let n = -9146 + 4106. Calculate the common denominator of 63/4 and (-14)/35 + (-2956)/n.
252
Suppose 65 = 5*s + 4*i, 2*i + 32 = 5*s - 3. Calculate the least common multiple of 1575 and s.
1575
Suppose 1433 = -125*h + 3286 + 6147. Suppose -5*j + 4*r + 16 = -15, 4*r = 3*j - 25. What is the least common multiple of j and h?
192
Let p(b) be the first derivative of -1/2*b**2 + 19 + b. What is the smallest common multiple of p(-2) and 20?
60
Let p = 88331/352575 - -81/1567. Find the common denominator of p and -67/315.
1575
Let d be (20/(-40))/(2/(-268)). Suppose -y + 5 + 12 = i, -3*i + d = -y. Calculate the smallest common multiple of 51 and i.
357
Suppose 3*r - 75 = -5*p, -2*r + 5*r - 3*p = 51. Let g = -11494 - -11822. What is the lowest common multiple of r and g?
1640
Let m(i) = -i**2 - 16*i - 44. Let r be m(-12). Suppose -55 = -5*c - 5*h, 1 = -r*c - h + 54. What is the lowest common multiple of c and 134?
938
Let w be (6/33)/(5/55). Suppose -5*s + 3*h - 2*h = 6611, s + w*h + 1331 = 0. Calculate the common denominator of (2 - (-12)/(-5)) + s/(-120) and -38/7.
56
Let z = 4402 - 3042. What is the smallest common multiple of 24 and z?
4080
Let r = -1757 - -50981113/29016. Calculate the common denominator of 75/16 and r.
58032
Let g(d) = 3*d**2 + 27*d - 5. Let f be g(-9). Let w(t) = 6*t + 84. What is the least common multiple of 6 and w(f)?
54
Let d be 0/(2*(-2)/(-2)). Let u = 10 - d. What is the lowest common multiple of u and 66/(-99)*(237/158 - 3/(-2)*-23)?
110
Let x = 27239/30 - 4434/5. Let r be (11*2)/((-114)/(-28) + -4). Let o = 2152/7 - r. Calculate the common denominator of o and x.
42
Suppose -2*m + 2514 + 810 = -i, 2*m + 5*i = 3300. What is the least common multiple of