19940 + 40408/997. Let p = -10650 + r. What is the common denominator of p and -21/32?
160
Let f(h) = -h**3 - 6*h**2 - 12*h - 5. Suppose 0 = 4*z - 0*z. Suppose z = -2*m + 10 + 2. What is the lowest common multiple of f(-3) and m?
12
Let q = 724/25 - 3301/100. Let u = 21559/2972 + -3/743. What is the common denominator of u and q?
20
Let n be (-1)/(-1) + 8 + -10. Let u = 11 + n. What is the least common multiple of u and 14?
70
Let v(y) = y**2 + y + 2. Let s be (-5)/2*(3 - 1). Let j = s - -15. Calculate the lowest common multiple of j and v(-4).
70
Let a = 28933/333 - 772/9. What is the common denominator of 34/7 and a?
259
Let r = 18089/20592 + -25/624. Find the common denominator of -109/36 and r.
396
Suppose 0 = -13*d - 9*d + 1980. What is the common denominator of 81/10 and 365/d*1*-3?
30
Suppose 3*i + 15950 = 55928. Let a = -213117/16 + i. What is the common denominator of a and -13/110?
880
Let m = 6/1027 + -352333/12324. Let x = m + 53/6. Calculate the common denominator of x and -1 + 1 - (-119)/(-6).
12
Let m = -25020455/5434746 + 1520/5557. Let w = 1/326 - m. What is the common denominator of w and -33/53?
159
Suppose 4*s = 3*j - 0*s + 306793, -4*s = 5*j + 511343. Let q = 7363567/72 + j. Let y = q + -11/72. Calculate the common denominator of y and -89/4.
36
Suppose -6*w = -10*w + 140. Calculate the least common multiple of w and 21.
105
Suppose -19*c = -6*c - 78. Let g(y) = -y**3 + y**2 + 2*y - 1. What is the lowest common multiple of g(-2) and c?
42
Suppose 6*y = y + 30. Suppose s + s - y = 0. Suppose 0 = 4*d + 2 - 6, u = -5*d + 9. What is the smallest common multiple of s and u?
12
Let u = 1016 - 6167/6. Let m = -5083 - -40729/8. What is the common denominator of m and u?
24
Let b(r) = r**2 - 2*r - 69. What is the least common multiple of b(-10) and 2?
102
Suppose 0 = -8*m - 17*m + 750. Calculate the common denominator of (-1)/((-3)/(873/24)) and m.
8
Let o = 509027 - 2553738/5. Let i = 1712 + o. Find the common denominator of 99/8 and i.
40
Let y be ((-4578)/18)/(20/(-6)). Let o = y - 86. Find the common denominator of o and -75/8.
40
Let l be (15/6)/((-2)/60). Find the common denominator of -131/18 and (505/l)/((-2)/(-5)).
18
Suppose -q = 23 + 40. Find the common denominator of 41/7 and 14/q - (-404)/198.
77
Suppose r - 3*t = -5, -5*r + 2 = -3*r - 2*t. Suppose r*z - 196 - 60 = 0. What is the lowest common multiple of (z/(-40))/(1/(-5)) and 2?
8
Let j = 85 + -50. Let k = 20 - 10. What is the least common multiple of k and (-15)/j - 80/(-7)?
110
Let u = -446 + 3120/7. What is the common denominator of -51/5 and u?
35
Let j be (-21)/((-1)/6*-3). Let f(s) = s**3 + 6*s**2. Let m be f(-3). Find the common denominator of j/m*(-60)/16 and -29/6.
6
Let g = -8733/4 + 2204. What is the common denominator of -61/58 and g?
116
Let m = -476 - -1355. Suppose 0 = -4*k - 167 + m. Calculate the lowest common multiple of (-30)/165 - k/(-11) and 8.
16
Let w(x) = -3*x - 13 - 17*x + 33. What is the smallest common multiple of 6 and w(-6)?
420
Suppose 5*l + 15 - 2 = b, -b - 4*l - 14 = 0. Suppose -2*u - 23 = -3*d, 7 = -d - u + 18. Let f = b + d. What is the least common multiple of f and 5?
35
Let q be (-5)/2*8/(-5). Suppose 0 = -2*i - 3*b + 23, -7*b - 41 = -q*i - 12*b. What is the lowest common multiple of i and 24?
24
Let d = -8805/7084 - 67/161. Find the common denominator of 83/8 and d.
88
Let p(a) = 2*a**3 - 79*a**2 + 36*a + 125. Suppose 3 = -2*s + 3*s. Calculate the smallest common multiple of p(39) and s.
24
Suppose -2*b - 18 = -3*b. Let o(t) = t**2 + 6. Let l be o(-4). What is the smallest common multiple of (6/(-2) - (-9)/3) + l and b?
198
Let j(a) = a - 9. Let m be j(6). Let c(f) = -3*f + 7. What is the smallest common multiple of (-5 - -17) + (-1 - -5)/(-2) and c(m)?
80
Let o = -11192 - -156781/14. What is the common denominator of o and 136/(-10) - -2 - -9?
70
Let d be (48/36)/(2/6). Suppose -5*y + 0 = 5, d*a - 153 = -3*y. What is the least common multiple of a and 15?
195
Suppose -2522 = -370*x + 357*x. Calculate the least common multiple of x and 1.
194
Suppose 5*l - 10 = -0*l. Suppose -l*d - 106 = -40. Let o = 1 - d. What is the smallest common multiple of o and 22?
374
Let d = 19 - 21. Calculate the common denominator of ((-1)/d)/(14*(-2)/(-360)) and -61/10.
70
What is the common denominator of 71/20 and (-9)/2*(-3 - (-309)/126)?
140
Let f = -27 - -81. Calculate the smallest common multiple of 87 and f.
1566
Suppose 0 = 248*w - 237*w - 18502. Calculate the least common multiple of 10 and w.
8410
Suppose 0 = 250*t - 238*t - 48. What is the lowest common multiple of 1564 and t?
1564
Suppose -65*v - 70*v + 14040 = 0. What is the least common multiple of 14 and v?
728
Let s = -735 - -789. What is the lowest common multiple of 252 and s?
756
Let o = 1033 - 1023. Calculate the least common multiple of o and 162.
810
What is the smallest common multiple of ((-3)/(-4))/((-69)/(-1932)) and 21?
21
Suppose 2*t - t - 108 = q, 3*q + 316 = 5*t. Calculate the lowest common multiple of 11 + (-1 - (-3 - -3)) and (q/20)/(2/(-5)).
70
Let f = -101 - -2677. Calculate the common denominator of ((-12)/(-110))/((-4)/175) and f/(-768) - (-4)/6.
176
Calculate the common denominator of 13/117 - (-186)/9504 and 113/80.
880
Let m(b) = -2*b**2 - 9*b + 1. Let h be m(-4). Let y(t) = -2*t**2 + 3. Let l be y(-3). Let u = h - l. Calculate the smallest common multiple of 4 and u.
20
Let p = 94 - 379/4. Calculate the common denominator of -62*(2885/360 - 8) and p.
36
Let t(g) = -2*g**2 + 6*g - 2. Let n be t(5). Let u = n - -66. Calculate the least common multiple of u and 16.
176
What is the common denominator of 19/116 and 18/84*7*21/29?
116
Let y = -323/77 + 30/7. Calculate the common denominator of -3 + 308/12 - 0 and y.
33
Let l = -395 + 21331/54. Let h = -446/27 + l. Calculate the common denominator of -1/2 and h.
2
Let k = 1/318 - -2462/795. Let j = -183 + 1999/11. Find the common denominator of j and k.
110
Let r = 9 + -41. Let n = -29 - r. What is the smallest common multiple of n and 8?
24
Suppose 2*a - 198 = -4*a. What is the least common multiple of 78 and a?
858
Suppose 22*u - 20*u + 76 = 0. Suppose 6*d - d = -330. Let p = u - d. What is the smallest common multiple of 20 and p?
140
Suppose k + 2*d = -13 + 37, k - 3*d = 9. Suppose 4*b = -10 + k. Calculate the common denominator of (33/18 - b)*-59 and 53/4.
12
Find the common denominator of -47/36 and (79/(-3792))/(30/(-28)).
360
What is the least common multiple of 143 and ((-66)/18)/(-11) + 920/12?
1001
Suppose -1188 = -4*v - 96. Find the common denominator of v/(-2)*(-3)/(-45) and -63/8.
40
Let u be (39/6)/(8/16). Suppose 0 = -5*s + u*s - 96. Calculate the least common multiple of 26 and s.
156
Let b be (-46510)/(-56)*-6 + -3. Let w = b - -4991. Calculate the common denominator of w and -57/16.
112
Find the common denominator of -145/18 and (-3073)/(-3045) - (-10)/(-25).
522
Calculate the common denominator of 9/22 and 1/252*1118 - (-24)/(-108).
154
Let a be (2 + 12063/108)/(333/12). Let u = 105/37 - a. What is the common denominator of u and 40/33?
297
Let b(o) = 71*o - 1. Let n be b(1). Suppose -3*p + n = 5*y, -5*y + 61 = 2*p - 4. What is the least common multiple of 26 and y?
286
Suppose 65 = -3*t - 2*t. Let j = t - -20. Let n(z) = 66*z - 391. What is the smallest common multiple of n(6) and j?
35
Let c(y) = 2 - 3 - 4*y - 4. Let m be c(-9). Calculate the least common multiple of 10 and 5/(-25) + m/5.
30
Suppose -4*k = 28 + 60. Let b = 16 + k. What is the lowest common multiple of ((-2)/(-3))/(b/(-144)) and 22?
176
Let z = -6392 - -89429/14. Calculate the common denominator of z and -19/48.
336
Let k be (-1)/(((-1)/(-4))/1). Let w be (k + 3 + 2)*-2. Calculate the common denominator of w + ((-267)/54 - -2) and -13/20.
180
Let q = 721 - 2857/4. Suppose 840 = -4*s - 3*s. Find the common denominator of q and 2/(s/29) - (-2)/5.
12
Let g = 4 + 18. Let o be 2/(-2) - -2 - -3. Suppose -q = q - o. What is the least common multiple of g and q?
22
Let c(d) = 2*d + 12. Let k(g) = -2*g - 11. Let w(v) = -5*c(v) - 6*k(v). Calculate the lowest common multiple of 30 and w(12).
30
Let q be -3*4/12 - -10. What is the common denominator of 91/20 and 213/(-54)*q/(-3)?
60
Calculate the common denominator of 55/6 and ((1330/84)