**2 - 2. Let j be k(-2). Let x be 23/7 - 4/j. Suppose 17 = x*g - 49. Calculate the lowest common multiple of 4 and g.
44
Suppose 5*n - n - 28 = 0. Suppose 4*w + 537 = 5*b, b - 99 = -w - w. Suppose -5*l = -0*l - b. Calculate the lowest common multiple of l and n.
21
Suppose 237 = -3*l + m + 1250, 0 = -3*l + 3*m + 1023. Suppose 6*q = -6*q + l. Calculate the least common multiple of 6 and q.
84
Suppose v + v - 22 = -2*z, 41 = 3*z - 5*v. Let l(t) = -2*t**3 + 15*t**2 - 16*t + 10. Calculate the lowest common multiple of l(6) and z.
132
Let j = -4508091/386 + 11679. Let q = j - 5419/1930. Calculate the common denominator of q and 34/9.
45
Let h = -2 + 4. Let c(b) = b**2 - 7*b - 12. Let f be c(9). Suppose -2*g + f = -0*g + 2*m, 0 = -3*g + 4*m + 9. What is the least common multiple of h and g?
6
Suppose 0 = 89*x - 93*x + 24, 5*q - 118 = -3*x. Calculate the lowest common multiple of q and (12/(-10))/((-1)/5).
60
Let f be (-3566)/(-26) - (-3 - 41/(-13)). Calculate the common denominator of (f/9*3)/(2*-10) and 169/30.
60
Let w(q) = -q - 4. Let x = -22 + 7. Calculate the lowest common multiple of 9 and w(x).
99
Suppose -2*a + 4*a - 8 = 0. Calculate the common denominator of 735/(-72) - a/24 and 202/40 + (-2)/(-5).
40
Suppose 3*t + 6 = 0, 3*m - 3*t + 0*t - 39 = 0. Suppose 4*f - 83 = -5*v + f, -4*v + f = -63. Let j = v - m. What is the least common multiple of j and 8?
40
Suppose 0 = -2*w + w. Calculate the common denominator of -12/19 and (w/3 + 3)*40/33.
209
Let n = -21547185/604 + 35674. What is the common denominator of n and 113/24?
3624
Suppose 3*a + 42 = 2*f, -3*a - 29 = -4*f + 67. What is the smallest common multiple of 7 and f?
189
Let v be 1/((-4)/(-15)*(-30)/(-24560)). Let c = -12217/4 + v. What is the common denominator of 5*(1 + (-28)/18) and c?
36
Calculate the lowest common multiple of 64 and 10 + 11/(11/2).
192
Suppose y + 4 + 1 = 0. Calculate the common denominator of y/(-120)*(-684)/8 and 103/14.
112
Calculate the least common multiple of 20 and -209*2/(-10) + (-17)/(-85).
420
Suppose -f = -12*f + 4202. Suppose 0 = -3*m + 4*g + f, 4*g = -m - 2*m + 422. Calculate the lowest common multiple of m and 4.
268
Let m = 1 + 20. Let i = -24 + m. Find the common denominator of 981/(-90) - (1 + i) and 1/4.
20
Let q = -339/26 - 58/13. Let l(s) = 9*s - 1. Let u be l(6). What is the common denominator of (u/20*2)/(-1) and q?
10
Suppose -44 = -5*m + 1. Calculate the common denominator of 73/18 and m/((-162)/(-4)) - (-193)/36.
36
What is the least common multiple of (-297)/(-3) + (0 + -2)*-2 and 8?
824
Let b be (2/4 + -3)*-2. Suppose -1 - 7 = -2*u + 2*y, b*u - 2*y = 26. What is the least common multiple of u and 9?
18
Suppose 3*b = 10 + 17. What is the lowest common multiple of b and 10?
90
Let b = 25 - 23. Let z be (17/17)/(b/4). Find the common denominator of (-228)/80 + z/10 and 61/18.
180
Let h(m) = m**2 + 2*m + 9. Calculate the lowest common multiple of 18 and h(-5).
72
Suppose -9 = q - 2*q. Suppose 5*a - q*a = 0. Suppose -r - 4*b = 6, -2*b = 5*r - a*b - 42. What is the smallest common multiple of 7 and r?
70
Suppose -2*f + 2*l = -4, -11 = -f - 4*l + 16. Suppose -3*n = 4*q + 133, 2*n = q + 38 - 112. Let o = n - -48. What is the lowest common multiple of o and f?
63
Let c = -6687/2365 + 2/215. Calculate the common denominator of c and -133/444.
4884
Suppose 2*i - 65 = 23. Let g be -3 + 3*i/2. Find the common denominator of 338/g + (-4)/18 and 43/6.
42
Let n(z) = -16*z**2 - z - 1. Suppose -5*l - 6 = -11. Let o be n(l). Calculate the common denominator of 909/o*2/(-8) and -39/8.
8
Suppose -2 = 4*h - 3*h + 2*q, -4*h + 18 = -5*q. Suppose 2*j + h - 10 = 0. Calculate the lowest common multiple of j and 6.
12
Suppose w - 16 = -3*w. Let c(g) = -g**3 + 12*g**2 - 33*g + 12. What is the smallest common multiple of w and c(4)?
8
Calculate the common denominator of -155/84 and (3/(216/339))/(1343/(-158)).
1428
Let n(g) = -g**3 + 6*g**2 - 6*g - 2. Let u be n(4). Suppose -2*o = u - 12. What is the common denominator of 4 - 113/(-30) - o and -43/14?
210
Suppose l - 35 + 8 = 0. What is the lowest common multiple of l and 36?
108
Let f(v) be the third derivative of v**5/20 + v**4/6 - 2*v**3/3 - 11*v**2. What is the lowest common multiple of 2 and f(2)?
16
Let c = 6 + 2. Let x = 4 + c. Let g = 677 + -661. Calculate the lowest common multiple of x and g.
48
Suppose -2*x - 3*t = -4*t - 41, x - t = 23. Let i = 48 + -26. Calculate the smallest common multiple of i and x.
198
Let z be 48/(-2) - 54/(-18). Let l = z + 34. What is the lowest common multiple of 9 and l?
117
Let q = 3042997/56 + -54341. Find the common denominator of 45/14 and q.
56
Let f be 81396/147 - 2/(-7). Let l = -4409/8 + f. Find the common denominator of l and -8.
8
Suppose x + 3*o = 33, 2*x + 5*o - 62 = o. Suppose -5*k - 2 = -x. What is the smallest common multiple of k and (-4)/(-10) - 86/(-10)?
45
Suppose 6*u + 9339 = 17*u. Let v = u + -577. Calculate the lowest common multiple of 16 and v.
272
Let a = -56 - -129. Calculate the common denominator of (-39)/((-1 + 3)*1) and 12/(-16)*a/3.
4
Let j(f) = 2*f - 2. What is the smallest common multiple of 36 and j(3)?
36
Find the common denominator of (230/380)/((-20)/8 - -2) and 37/6.
114
Let o be 4 + ((-5)/(-3))/(17/102). Suppose 5*u = 2*u + 4*w + o, 2*w = -4*u + 4. Calculate the least common multiple of 8 and u.
8
Let l(x) = -x**2 + 10*x + 15. Let y be l(11). Calculate the common denominator of 34/3 and 3*(-106)/(-99) - y.
33
Suppose -3*y = -4*r - 19, 5*r + 6 + 11 = -3*y. Calculate the common denominator of ((-6)/105)/((-2745)/2725 + y) and 63/16.
112
Suppose 3*s + 18 = 6*s. Let y be (-141)/(-21) - s/(-21). Suppose -5*n + y*n = 8. What is the least common multiple of n and 2?
4
Suppose x - 13 = l, -4*l - 17 + 1 = -2*x. Calculate the least common multiple of 120 and x.
360
Let u(z) = z**2 - z. Let d be u(2). Suppose 4*g - d*g = -3*k + 15, 3*g - 5*k - 32 = 0. Calculate the smallest common multiple of 6 and g.
18
Let x = 2713819/1398850 + -1/27977. Find the common denominator of x and 89/10.
50
What is the smallest common multiple of 42 and -9*6*(-6 - (-4 + -1))?
378
Let h = 813 + -3281/4. Find the common denominator of 15/38 and h.
76
Suppose w - 88 = -w. Let k = 64 - w. Suppose -4*b - 60 = -5*j - 0*b, 2*b - 90 = -5*j. Calculate the smallest common multiple of j and k.
80
Let n = 584177/62 - 9422. Calculate the common denominator of n and 115/98.
3038
Let x(f) = -f**3 + f**2 + 2. Let v be x(0). Suppose -4*j + j - 23 = v*a, 45 = -5*j - 5*a. What is the smallest common multiple of (1 - 2)/(j/55) and 10?
110
Let y = 39163/6 - 6508. Let k = -1185 - -28465/24. Calculate the common denominator of y and k.
24
Let f = 74 + -112. Let t = f + 50. What is the smallest common multiple of 27 and t?
108
What is the common denominator of 41/210 and (116/48 - 6/(-18)) + 2?
420
Let c = 14 - 12. Suppose 0*h + r + 22 = 4*h, c*h + 2*r = 16. What is the least common multiple of (-1)/(-3 + 10/4) and h?
6
Let j = -3221/266 - -150/19. Let n = -28457/1344 - -3/448. Find the common denominator of j and n.
42
Let d(c) = -c**2 + 21*c + 4. Calculate the least common multiple of d(12) and 70.
560
Suppose 0 = 4*j + 5397 + 1423. Find the common denominator of 99/20 and j/(-396) + (-2)/(-18).
60
Let p = 134401/235830 - -360/1123. What is the common denominator of p and -3/35?
210
What is the common denominator of -103/22 and 1 + 1/(-2) - (-2665)/(-1040)?
176
Let j(k) = 36*k**2. Let g be j(-1). Suppose 0 = -4*n - 0*n - g. Calculate the common denominator of -70/3 and n/(-54)*(-101)/(-1).
6
Let p be (-3876)/95 - 2/10. What is the least common multiple of 20/(-130) - p/13 and 16?
48
Suppose 9 = 5*n - 11. Let b = 9 - 5. What is the lowest common multiple of -4*(-1 + (-1)/n) and b?
20
What is the common denominator of -87/10 and 31/23*65/325?
230
Suppose -8*r = -10*r. Let y(k) be the second derivative of -k**5/20 - k**4/12 + 6*k**2 + 2*k. Calculate the smallest common multiple of y(r) and 10.
60
Let a(j) = -5*j**2 + 19*j + 2. Let z be a(4). What is the least common multiple of (8*z/20)/((-2)/40) and 0 + 1 + -1 - -16?
16
Let y(v) = -10*v - 2. Let r = -28 - -27. What is the smallest common multiple of y(r) and 11?
88
Let z = 134 - 124. Suppose z = 8*y - 6. What is the least common multiple of y 