and j.
24
Let z = -107474/5 - -219137/10. Let v = 408 - z. Calculate the common denominator of v and 71/9.
90
Suppose -3*p + 32 = -10. Calculate the smallest common multiple of 32 and p.
224
Let z(x) = -3475*x**3 - 2*x - 1. Let j be z(-1). Let m = j + -38265/11. What is the common denominator of m and -15/7?
77
Suppose 5*x - 11 = -10*n + 9*n, 0 = -3*n - 2*x + 20. Suppose j - 2*o = -2*j + 14, -o = -j + n. Calculate the smallest common multiple of 212 and j.
212
Calculate the least common multiple of -122*((-51)/17 - 28/2) and 20.
20740
Suppose 3*l + 1 - 4 = 0. Calculate the least common multiple of l and 27.
27
Let r = 29035/6 + -4853. What is the common denominator of r and 1/(0 - (-21)/141)?
42
Suppose -3*g = 2*u - u - 30, -5*g + 3*u = -50. Suppose h = g + 1. Calculate the smallest common multiple of h and 8.
88
Let k be (-15)/(-10)*(-4)/(-6). Let o be (k + 1)*(-1 - -2). What is the common denominator of 5 - o - (-40)/(-22) and 87/4?
44
Let d = -378 + 399. Calculate the lowest common multiple of (-36)/(-8)*(2 - 0) and d.
63
Calculate the lowest common multiple of 162 and ((-2)/(-4))/(20/1080).
162
Suppose 2*c + 5*l - 6 + 2 = 0, -2*l = 2*c - 4. Suppose m + 13 = v, 3*m - 5 - 12 = -4*v. Calculate the least common multiple of v and c.
8
Suppose 3*a - 2*u = 46, -a - 7*u + 30 = -4*u. Calculate the least common multiple of a and 27.
54
Let n = 120/113 - 20473/14916. Find the common denominator of 19/15 and n.
660
Let o be 582867/(-84)*(-2)/2003. Let p = o - -1/14021. What is the common denominator of (-12)/54 + 710/36 and p?
14
Let s = -61 - -198. Let c = 99 + s. Suppose 4*d = c - 68. What is the lowest common multiple of d and 14?
42
Let z = -18 - -56. Let p = z - 29. What is the lowest common multiple of 9/(-15) + (-13)/(-5) and p?
18
Let q = -29 - -10. What is the common denominator of ((-28)/(-14))/((-15)/q) and 6?
15
Let k = -508489/42 + 12109. Calculate the common denominator of -1/14 and k.
42
Let v(w) = -19*w + 1. Let b be v(-3). Let z = b - 39. Calculate the common denominator of -41/4 and (-8)/16 + z/(-4).
4
Suppose 2*i + r - 67 = 0, 4*i = 5*r - 45 + 186. Let h = -12 + i. Calculate the smallest common multiple of -2*1 - (-1 + -11) and h.
110
Let x = 995/627 - 29/19. Find the common denominator of x and 71/30.
330
Suppose 0 = -88*z + 91*z - 324. Let t = 1171/57 - -64/57. What is the common denominator of t and (376/z)/((-10)/15)?
9
Let v(j) = j**3 - 10*j**2 - j + 28. What is the lowest common multiple of 430 and v(10)?
3870
Suppose -2*j - u + 185 = 0, 2*j + 23*u - 155 = 28*u. What is the lowest common multiple of 90 and j?
90
Let s(g) = 60*g - 430. Calculate the lowest common multiple of s(12) and 5.
290
What is the common denominator of (-3)/4*110/8448 and 39/8?
512
Let q(b) = -2*b**2 + 38*b - 33. Let j(v) = -v**3 + 22*v**2 - 21*v + 17. Let t be j(21). What is the smallest common multiple of 10 and q(t)?
70
Suppose 0 = -v - 0*d - d + 8, -4*d = -5*v + 85. Let y = 7 + -27. Let n = y - -29. What is the least common multiple of v and n?
117
Let n(j) = 15*j - 50. Calculate the smallest common multiple of 12 and n(6).
120
Suppose -3*w = -r + 18, -2*r - 5*w + 0 = 8. Suppose i = -3*k + 12, -5*i = k - 2*k - 44. What is the least common multiple of i and r?
18
Let c = -302935/74442 - -232/57. Let s = -48329/9142 + c. Calculate the common denominator of ((-1)/14)/(1/(-10)) and s.
7
Suppose 0 = -2*d - 5*b + 9, 2*d = d + 4*b + 24. Calculate the lowest common multiple of d and (-616)/(-84) + (-4)/(-6).
24
Let w = 2096987/104 + -20163. Calculate the common denominator of w and -17/80.
1040
Let g = 1183375/138 - 25720/3. Find the common denominator of g and -51/2.
46
Let o be -2*(-3)/12*14. Let b = o - -29. What is the common denominator of b/48*46/(-75) and -143/12?
300
Let l(q) = -3*q + 2. Let u be l(2). Let h = u - -4. Suppose -3*y + x + 11 = -7, -3*y - 3*x + 30 = h. Calculate the lowest common multiple of y and 5.
35
Let u be 64956/16 + 1 + 1. Let g = u + -4087. Calculate the common denominator of g and ((-96)/(-14) + -3)*1.
28
Let x(q) = 52*q**3 + q**2 + q - 4. Let n be x(4). Let i = n - 60169/18. Find the common denominator of i and -65/6.
18
Let d = 12 + -14. Let m(k) = 371*k**3 - k**2 + k - 1. Let z be m(d). Let f = -20780/7 - z. What is the common denominator of -3/4 and f?
28
Suppose -5*v + 205 = 5*b, 3*b - 26 = -v + 95. Calculate the lowest common multiple of 20 and b.
40
Let o = 7 + -5. Let z(n) = 2*n**2 - n - 1. Let c be z(-1). Suppose 98 = -c*q - 0*u + o*u, -4*q + 3*u = 197. What is the common denominator of q and 47/4?
4
Suppose 0 = -2*i + 4*i - 20. Let x = -1/225 + -8767/1800. Find the common denominator of x and 1 - i/(-22) - -1.
88
Let p = 2230141/441620 - -2/22081. What is the common denominator of p and 393/792 - 12/((-1344)/14)?
660
Let g(x) = -x**2 - 15*x - 9. Let r be g(-11). Suppose -3*b + 40 = 7*b. Suppose -53 = -b*w + r. What is the least common multiple of w and 2?
22
Let w(h) = h**2 - 2*h + 62. Let a be w(0). What is the common denominator of -19/14 and a/12 + 39/13?
42
Let j(x) be the second derivative of -x**4/12 + 13*x**3/6 - 8*x**2 + 11*x. Calculate the smallest common multiple of j(11) and 15.
30
Calculate the least common multiple of 18 and ((-32)/(-24))/((-2)/(-1296)).
864
Suppose 0 = 2*s + 2 + 4. Suppose 0 = -6*o + 10*o - 20. Let h = s + o. Calculate the lowest common multiple of h and 6.
6
Let m be 0 - (-457 - (-4 + 3)). Find the common denominator of (-4)/(m/(-693)) - 4 and 27/22.
418
Suppose -3*j = -j - 10. Suppose 0 = j*q + d - 65, 3*q = 3*d + 24 + 33. What is the least common multiple of 20 and q?
140
Let i = -88 - -78. Calculate the lowest common multiple of 28 and 1*i/(-3)*(-96)/(-40).
56
Let s(b) = b**2 - 8*b + 2. Suppose -2*q = -0*q - 56. Let f = q + -20. Calculate the least common multiple of 8 and s(f).
8
Let r(v) = -v**3 + 7*v**2 + v - 5. Suppose 4*o = 4*k + 32, 0 = 6*o - 4*o - 4*k - 18. Calculate the lowest common multiple of 16 and r(o).
16
Let l(o) = -o**3 + 12*o**2 + 17*o - 42. Calculate the lowest common multiple of l(11) and 304.
2128
Let t = 149 + -89. What is the smallest common multiple of 55 and t?
660
Suppose -2*x + 3 = -c, 5*x = -5*c - 26 - 4. Calculate the common denominator of c + (-108)/(-20) - 161/165 and -143/24.
264
Let u(k) = k**3 - 2*k**2 - 3*k + 216. Let p be u(0). What is the common denominator of ((-6)/p)/((-3)/(-870)) and -85/12?
36
Let z be 2/1 - 5 - -6. Suppose 0 = -z*s + s - 10. What is the smallest common multiple of (1 + s)/((-1)/4) and 32?
32
Let s = 94 - 95. Calculate the smallest common multiple of s/5 - (-166)/5 and 27.
297
Let l(j) = -72*j - 1. Let k be l(-6). Let n = k - 1328/3. What is the common denominator of (0 + -7 + -3)/(12/39) and n?
6
Suppose 2*q - 4*b = -199 + 69, -q + b - 70 = 0. Let d = q + 102. What is the smallest common multiple of 33 and d?
297
Let b(c) = 66*c. Let v = 597 + -591. Calculate the smallest common multiple of b(1) and v.
66
Find the common denominator of 8/864*388/2 and 95/54.
54
Let o be 25/2 - 1/2. Suppose 0 = -3*a + 3*b + o + 6, a + 10 = 5*b. Calculate the least common multiple of a and (-122)/(-18) + (-8)/(-36) - -11.
90
Suppose -2*t - 5*g = -65, t + 28*g = 31*g + 38. Calculate the smallest common multiple of t and 35.
35
Let d be 3*(1 - 4279/(-15)). Let y = d + -867433/1010. Let w = y - -4903/101. Find the common denominator of -21/8 and w.
8
Let y(s) = s**3 + 8*s**2 - 42. What is the lowest common multiple of y(-6) and -4*(0 - (-18)/(-4))?
90
Suppose 4549 + 5264 = 3*y - 3*q, q - 16337 = -5*y. What is the common denominator of 2/(-9) + y/288 and 15/7?
56
Let i = -11/610 - 26609/12810. What is the common denominator of i and 48/(-128) - (-1659)/360?
210
Let g = -394 - -4721/12. Find the common denominator of g and (-535)/10 + 1 + 4.
12
Suppose -4*w = 3*k - 18, 2*w = -4*k + 5*k + 4. Calculate the smallest common multiple of k and 346.
346
Let c(k) = 5*k**2 + 15*k + 4. Let x(v) = 2*v**2 + 7*v + 2. Let d(r) = 4*c(r) - 9*x(r). What is the least common multiple of -2 + 2 + 1 + 35 and d(-2)?
36
Let f be ((-18)/15)/(4/(-430)). Suppose 3*y + 21 = f. What is the common denominator of -47/11 and (y/243)/(4/6)?
99
Let b(z) = -z**3 + 2*z**2 + z - 2. Let u be b(2). Suppose u = 2*l - 0*l - 8. Calculate the lowest common multiple of 4 and l.
4
Let q = 