12
Let a(k) = -3*k**2 + 58*k + 4*k**2 + 9 - 49*k. Let i be a(-7). Find the common denominator of -49/4 and 2/i - (-642)/30.
4
Suppose v + 1806 + 6321 = -3*j, -3 = -v. Let p = j - -16225/6. Calculate the common denominator of p and (-99)/(9 - (0 + -1)).
30
Suppose 0 = -3*v + 12878 - 2945. Let f = v + -66161/20. Let h = 2/68333 + -7311671/1366660. Find the common denominator of h and f.
20
Calculate the common denominator of -17/192 and (24/(-64))/(2*15/410).
192
Find the common denominator of 12/(-20) + 217/(-5) and -6 + (-36)/(-21)*(-14)/(-10).
5
Suppose 0 = 4*r - r - 18. Suppose -3*w + o = -4*o - 50, 4*w - 5*o = 65. What is the lowest common multiple of w and r?
30
Let g = 1348747/108 + -12489. Calculate the common denominator of g and -59/135.
540
Let j = -11 + 31. What is the smallest common multiple of -5 + 1 - ((-2)/2)/(27/162) and j?
20
Let q(d) be the third derivative of d**4/24 + 5*d**3/6 - 11*d**2. Calculate the smallest common multiple of q(0) and 6.
30
Suppose 4*s - m = -2903, s = -2*s - 3*m - 2166. Calculate the common denominator of (-1)/1 + s/30 and -49/16.
48
Let q be (-4)/(2 + -3 - 0). Suppose 3*w = -5*y + 39, -q*y + 4*w = -13 + 1. What is the lowest common multiple of y and 11?
66
Suppose -5*r + r = 5*q - 25, -2*r + 5 = 5*q. What is the lowest common multiple of 14 and r?
70
Suppose -11*s + 215 + 676 = 0. Calculate the smallest common multiple of 9 and s.
81
Let v = 1503/220 - 90/11. Find the common denominator of (-28)/(-49) - 4/112*-118 and v.
140
Let l = -79 - -33. Let r = 54 + l. Calculate the smallest common multiple of 20 and r.
40
Let i be -333 - (-2 - (2 - 3)). Find the common denominator of i/(-32) + -4 + 1/4 and 74/3.
24
Let o be ((-20)/16)/((-2)/8). Suppose 10 = o*h - 0. Suppose -3*f + 5*r = -30, -f - 3*r + 10 = r. Calculate the least common multiple of f and h.
10
Suppose 5*a + 216 = 3*k, -3*a - 144 = 5*k - 7*k. Calculate the lowest common multiple of k and 30.
360
Let c(u) = 3*u - 1. Let o be c(3). Calculate the common denominator of ((-159)/(-12) - -2) + 0 and (-63)/20 + (7 - o).
20
Find the common denominator of 113/786 and -4 + (-11)/(-3) + 85/(-10).
786
Let w(p) = -p**2 - 17*p + 48. What is the smallest common multiple of w(-15) and 9?
234
Calculate the common denominator of 10/(-4)*62/(-80) and ((-2)/(-21))/((-12947)/759 + 17).
112
Suppose 3*p + c = 9, 3*p + 4*c - 6 = 2*c. Suppose p*j - 4*q = 84, -4*q + 114 = 5*j - 0*j. Calculate the smallest common multiple of 38 and j.
418
Let y = 5515/6 + -928. What is the common denominator of y and 27/16?
48
Suppose 2*n + 4 = -0*n. What is the common denominator of 77/10 and (3/((-72)/(-14)))/(n/(-27))?
40
Find the common denominator of 608/840 - 50/(-60) and 87/40.
280
Suppose 4*k - 115 = 3*f + 3*k, 0 = f - 3*k + 33. Calculate the common denominator of (2/15)/((-288)/520) and (f/24)/((-6)/4).
108
Let i(w) = -w + 17. Let a be i(21). What is the common denominator of 2 + -3 - a/(960/(-65)) and -139/6?
48
Find the common denominator of (3090/45)/(-7 + -2 + 5) and 11/4.
12
Let j = -26128 - -731699/28. What is the common denominator of j and 23/32?
224
Calculate the common denominator of 65/522 and -9 + (12450/144)/25.
2088
Let c(d) = 3*d + 10. Let u be c(-6). What is the lowest common multiple of 28 and (-260)/(-50) - u/10?
84
Let x be 2/(-7) - (-12)/(-7). Suppose 16*j - 21*j + 20 = 0. Let c = j + x. What is the lowest common multiple of 24 and c?
24
Let t = 2401/292 - -2/73. Find the common denominator of t and -83/10.
20
Let m(r) = -57*r**3 + 3*r**2 + 3*r + 1. Let v be m(-1). What is the common denominator of -91/2 and 12 + -13 + v/20?
10
What is the common denominator of -49/177 and (-3 - (-25)/9) + 745/(-495)?
1947
What is the common denominator of 41/3 and 438/1022 - 1882/1092?
78
Let b = -127047 - -1199069587/9438. Let a = b - 108569/302016. What is the common denominator of 49/5 and a?
320
What is the common denominator of 145/54 and ((-324)/8 + -2)/((-27)/(-1))?
54
Let h = -47 + 52. What is the smallest common multiple of 2 - 4/((-8)/18) and h?
55
Let k be 10/(-8)*(-410)/25*2. Suppose g + 0*g - 31 = 3*w, k = 2*g + w. Calculate the lowest common multiple of 6 and g.
66
Let h = -11642/5 + 2320. Let z = -1123/3 - -389. Find the common denominator of h and z.
15
Let i be (-20)/30*(0 - (-1997)/2). Let x = -647 - i. Find the common denominator of 131/12 and x.
12
Suppose -w + 16 = 3*w. Let s(q) = -2*q**3 + 75*q**2 - 38*q + 53. Calculate the smallest common multiple of s(37) and w.
16
What is the least common multiple of 185 and 15/18*4*525/70?
925
Let o(z) = 7*z - 13. Let u = -60 + 63. What is the smallest common multiple of 18 and o(u)?
72
Let h = 6121/282 - -53/47. Find the common denominator of 17/123 and h.
246
Suppose 7*c - 20 = 2*c - 5*f, 0 = 2*f + 2. Let g(n) = n**3 - 7*n**2 + 12*n + 2. What is the lowest common multiple of 18 and g(c)?
36
Let r = 8 + -1. Let f = -1038 - -1039. What is the least common multiple of r and f?
7
Suppose 4*q - 448 = -5*t, -t + 106 = 2*q + 14. Calculate the smallest common multiple of t and 6.
264
Let r(f) = -16*f + 6. Calculate the least common multiple of r(-1) and 34.
374
Let m(v) = 2*v + 2. Let i be (-6)/8 - 15/(-4). Let p be m(i). Find the common denominator of 5 + -8 - (-18)/p and 57/8.
8
Suppose -14*f + 940 + 68 = 0. What is the lowest common multiple of f and 80?
720
Suppose -1 + 10 = 3*r. Suppose -2*n - 3*v = r*n - 24, 0 = 4*n + 5*v - 27. Calculate the smallest common multiple of n and 11.
33
What is the common denominator of 10/4*(665/(-147) - -5) and 73/87?
609
Let k be ((-183)/(-2))/((-7)/((-1869)/18)). Let p = k - 37913/28. What is the common denominator of (-4)/(-30)*(-1605)/(-12) and p?
42
Let i be 2/7 - (-690)/35. What is the least common multiple of 7 and 8/i*-3*-5?
42
Let p = 527/10 - 166/5. Let m = -5418684013/2053660 + -29/102683. Let s = 2637 + m. Calculate the common denominator of s and p.
20
Suppose -2*h + 0*h + 168 = 0. What is the common denominator of -119/18 and (-4)/(-1)*h/1056?
198
Let c(y) be the second derivative of y**5/20 - 5*y**4/12 + y**2 + 4*y. Let v be c(3). What is the smallest common multiple of -6*3/(18/v) and 18?
144
Let k be (-54)/(-30)*(-1 - -6). Let t(n) = -2*n**2 + 14*n - 9. Let j be t(k). Calculate the common denominator of 77/4 and ((-330)/25)/(84/j).
28
What is the smallest common multiple of 1580/25 + -4 + (-16)/(-20) and 4?
60
Let x = 1341151/30 + -44709. Find the common denominator of (-3 - (-10)/12)*(-24)/6 and x.
30
Find the common denominator of -40/57 and (1655/285 - 2) + (-40)/10.
57
Find the common denominator of 131/126 and (-154)/693 + 278/(-252).
126
Let x = -4944820211/60 - -82411836. Let f = -5515/3 - x. Let d = -340 - -9517/28. What is the common denominator of f and d?
140
Let j = 302 + -295. Let a(l) = -l**2 - 4*l. Let w be a(-5). Let b = j + w. Calculate the smallest common multiple of 5 and b.
10
Suppose 3*b - 88 = -73. Let t = 1138 + -1744. What is the common denominator of 49/11 and (t/(-15))/(4/b)?
22
Let c be (-12)/(-9)*(4 + -1). Let p be 18/c - (-2)/4. Calculate the common denominator of -33 and (p/9)/(18/(-135)).
6
Suppose 5*j - 349 = -314. Calculate the smallest common multiple of j and 133.
133
Suppose 0 = -s - s + 16. Suppose -k = -3*k + s. Let c(v) = 2*v**3 + 26*v**2 + 14. What is the least common multiple of c(-13) and k?
28
Let m(h) = 2*h - 6. Calculate the lowest common multiple of 4*(-3)/(-3)*1 and m(4).
4
Suppose 11*i = 10*i + 12. Suppose 3*v - 45 = 18. Calculate the lowest common multiple of i and v.
84
Calculate the least common multiple of (-3 - 19)*(-1 - 4) and 30.
330
Let p be 6022/(-10)*(-35)/(-14). Let o = -1552 - p. What is the common denominator of o and 35/12?
12
Let u(v) = -v**3 + 18*v**2 - 15*v - 24. Let t be u(17). Let r be (-24)/(-15)*t/(-4). What is the least common multiple of (r/(-12))/(4/36) and 5?
15
Let g = 947/4 + -5539/24. Calculate the common denominator of g and 75/392.
1176
Suppose 5*m = -5*q + 105, 4*q - m - 127 = -33. Suppose 26*w - 9 = q*w. What is the lowest common multiple of 12 and w?
12
Let d(g) = 0*g**2 - 3*g**2 - 4 - 4*g - 3*g + 2*g**2. Let w be d(-4). Calculate the smallest common multiple of (-2)/(-4) + 76/w and 1.
10
Suppose 0*q + 5*q = -175. Find the common denominator of ((-1)/9)/(2/(-33)) and (1/(-25))/((-14)/q)