17. Let s = g + b. Find the common denominator of s and -119/12.
12
Suppose 0 = -2*j + 6 + 38. What is the least common multiple of j and 10?
110
Let m(g) be the second derivative of 11*g**3/6 - g**2/2 - 6*g. Calculate the smallest common multiple of 24 and m(1).
120
Suppose 0 = 3*k - 0*k - 66. Calculate the least common multiple of k and 12.
132
Let y be 326/(-306) - (-2 - -1). Let a = 6413/2142 + y. Find the common denominator of -3*((-3125)/(-90))/5 and a.
42
Let w(s) = s + 1. Let c be w(-2). Calculate the common denominator of ((-54)/(-8))/((-24)/(-40)) and (-2 + 262/20)/c.
20
Suppose 9*g = 6*g + 42. What is the lowest common multiple of g and 6?
42
What is the least common multiple of (70/42)/(1/(18/5)) and 32?
96
Let m = -1567 - -28235/18. Find the common denominator of 22/(-40) - (-4)/(-10) and m.
180
Let p = -13837/4 - -3423. Let o = 281735/8 + -35171. Let r = p + o. Calculate the common denominator of r and 121/6.
24
Let g be ((-22)/(-2) - 1) + -1. Let x = -17 + g. What is the lowest common multiple of 1/(-2)*(x + 0) and 24?
24
Let a = 5274296/21 + -16476976829/65604. Let j = -19/284 + a. Find the common denominator of j and -137/12.
132
Let s be (-3)/15 + 6/5. Let i(m) = 12*m**2 + m - 1. What is the smallest common multiple of i(s) and 1 + 1/(1/15)?
48
Let w be ((-2)/(-3))/(220/6315). Let y = w - -93/44. Calculate the common denominator of y and -3.
4
Let c = -13 + 29. Let b = -10 + c. What is the lowest common multiple of b and 8?
24
Let y(k) = k**2 + 6*k + 7. Let z = 77 + -67. Calculate the smallest common multiple of z and y(-5).
10
Let k = 12 + -27. What is the common denominator of (-147)/k*10/8 and -113/14?
28
Let t = 51 - 2. Suppose -2*i = 4*y - i - 47, -4*y + i + t = 0. What is the smallest common multiple of 18 and y?
36
Suppose -4*y - 61 = -3*r, -r = 4*y - 3*y - 18. Let f = 28 - r. What is the lowest common multiple of 1 and f?
9
Suppose 0 = 3*z - 5*t - 27, 4*t = -5*z - 0*z + 8. What is the least common multiple of z and 2?
4
Let u = 1190/27 + -14519/270. Suppose -k - 1 = -5. Find the common denominator of u and 188/(-6)*(-2)/k.
30
Let v(i) = -5*i - 5. Let x(o) = -3*o - 3. Let r(h) = -5*v(h) + 8*x(h). Let l be r(1). What is the lowest common multiple of 9 and l + (-1)/1 + 3?
36
What is the common denominator of 13/11 and ((-18)/(-132))/((-9)/(-138))?
11
Let w be (16 - 15) + (1 - 736). Find the common denominator of -61/6 and 12/54 + w/144.
24
Suppose 4*y + 0*d + d = 156, -y + 28 = 3*d. Let q be 2/(-9) + y/18. Suppose 5*c - q*c = 24. What is the smallest common multiple of 10 and c?
40
Let i(f) be the third derivative of -f**6/120 - 17*f**5/60 - 3*f**4/4 - 2*f**3 + 9*f**2. What is the smallest common multiple of 2 and i(-16)?
20
What is the smallest common multiple of 6 and 147/35 - 2/10?
12
Let d be (-48)/(-15) + 4/5. Suppose 0*h = 2*h - d. Calculate the smallest common multiple of 3 and h.
6
Suppose 14*n + 60 = 19*n. What is the least common multiple of n and 15?
60
Let v be 1766/8*4/86. Let y = v + 10/43. What is the common denominator of -53/8 and y?
8
Suppose -5*p - 21 = 2*o, 9 = p - 4*p. Calculate the lowest common multiple of 22 and (540/(-4))/o + -1.
44
Suppose -5*m + 5 = 5*f, -5 = -2*f + 3*m - 2*m. Calculate the smallest common multiple of f and 198.
198
Let x(d) = -3*d + 27. Calculate the lowest common multiple of x(0) and 30.
270
Suppose 4*m + 3*o = 88, -66 = -3*m + 2*o + o. Find the common denominator of 85/m + (-3)/(-6) and 49/2.
22
Let f(q) = 6*q + 2. Suppose -4 + 16 = 4*k. Calculate the lowest common multiple of 2 and f(k).
20
Suppose -3*n = -9, 6*b - 3*n + 209 = b. Find the common denominator of ((-2)/b)/((-4)/(-550)) and -7/6.
24
Let f(u) = -2*u**3 - 4*u**2 + 3*u + 6. What is the least common multiple of f(-3) and 6?
30
Suppose -m + 0 + 6 = 0. Let p = m - -12. What is the lowest common multiple of (-9 + 3 - -2) + 22 and p?
18
Let h = 8/649 - -81077/3894. Calculate the common denominator of ((-822)/(-81))/(4/(-3)) and h.
18
Let k = 10 - 49. Suppose -2*m + 90 = 4*l, 0*l + 2*l - 47 = -3*m. What is the least common multiple of k/(-4) - 2/(-8) and l?
110
Suppose -504 = -35*g + 26*g. Calculate the least common multiple of 4 and g.
56
Suppose -v - 7 = -4*w + 10, -w - v = -8. What is the least common multiple of w and 10?
10
Let v = -72687/20056 + -2/2507. Calculate the common denominator of -7/24 and v.
24
Let j = 16 + -15. Let m be ((-2)/3)/((-2)/(-6)). What is the least common multiple of ((-12)/(m + 4))/(-2) and j?
3
Let p = -6888 - -41185/6. What is the common denominator of p and (-1 - 10/(-6)) + (-164)/32?
24
Suppose 2*l + 3*d + 3 = -2, 2*l + 2*d = 0. Suppose -2*f - l*q + 12 = 0, -2 = q - 2*q. What is the smallest common multiple of 4 and f?
4
Calculate the common denominator of ((-9)/30)/(16/(-660)) and 59/9.
72
Suppose -140 = -4*z - 5*k, 3*z + 4*k - 122 = -17. What is the common denominator of -3 - 1/((-44)/284) and z?
11
Let b(t) = t - 8. Let z be 0 + -2 + 1 + 1. Let u be b(z). Let d = u - -18. Calculate the lowest common multiple of d and 10.
10
Let c = 7 + -1. What is the least common multiple of c and 10?
30
Suppose 2*y = -0*b - 5*b + 256, -265 = -5*b - 5*y. What is the smallest common multiple of b and 2?
50
Suppose -4 + 2 = -x. Suppose 0 = 6*v - x*v - 8. What is the least common multiple of v and 11?
22
Let p be 1/(-3) - 210/(-9). Suppose -3*v + 5*n = -38, 0*n - p = -2*v + n. Find the common denominator of 21 and 0 + 1*(-31)/v.
11
Suppose 2*v = 6 + 6. Calculate the common denominator of 81/(-120)*(-45)/v and -69/8.
16
Let m = -38339/3 - -41002/3. Let v = 901 - m. Let b = 748676/91053 - 2/10117. Find the common denominator of b and v.
9
Let u(h) = -4*h - 2. Let w be (1*3)/(3 - 4). Let f(a) = -a**3 + 6*a**2 + 10*a - 7. What is the lowest common multiple of u(w) and f(7)?
70
Let m = 4 - 0. Suppose 7*y = 6*y + 7. Suppose 0 = -y*j + m*j + 12. Calculate the smallest common multiple of j and 8.
8
Suppose 0 = 6*b - 5*b - 10. Let h = 4 - -3. Calculate the lowest common multiple of h and b.
70
Let i be 1/(-2)*(-12 - -2). Suppose 2*n - 29 = -i*q + 3*n, -5*q - 3*n = -33. Suppose 3*o = 29 + 13. Calculate the least common multiple of o and q.
42
Let t = 3 - -15. Let s be t/(-4980)*(-18313)/51. Let b = s + 3/1411. What is the common denominator of 12/7 and b?
70
Let o be -27*(1 - 2 - -2). What is the common denominator of 1*(-1)/(21/o) and 65/2?
14
Let o = -68 - -90. Calculate the lowest common multiple of 26 and o.
286
Let q(s) = 2*s**2 - s - 1. Let t = -139 - -442/3. Find the common denominator of q(-2) and t.
3
Let f = -2166937/828 - 46213/92. Let w = f - -3113. Let r = -362/15 - -2873/60. What is the common denominator of w and r?
36
Let h be 3*-4 - (-6 - -6). Find the common denominator of ((-243)/h + 0)/1 and (33/(-21))/(2/(-8)).
28
Suppose -51 + 75 = 4*a. What is the smallest common multiple of 5 and a?
30
Let d be -1*(-3 - (6 - 2)). Let r = -2 + d. Let p(f) = f**3 - 6*f**2 + 7*f - 6. What is the smallest common multiple of 11 and p(r)?
44
Let q = 2990/3 - 988. What is the common denominator of -49/16 and q?
48
Let t(j) = 2*j**2 - 3*j + 3. Let d be t(2). What is the common denominator of -51/8 and 75/(-2) + -4 + d?
8
Suppose -1092 = -5*l + 2*w - 0*w, -5*l + 4*w + 1094 = 0. What is the common denominator of (-2)/(-12) + l/96 and 13/16?
16
Let u = -111492/79 - -1411. Let h = u - -5503/1264. Calculate the common denominator of 81/4 and h.
16
Calculate the smallest common multiple of 5 and (-1)/((2 - 1)/(-10)).
10
Suppose -9 = -3*q, 93 + 155 = r - 4*q. Let g be r/8*119*2. Let b = 108391/14 - g. What is the common denominator of -119/20 and b?
140
Let c = -4 - -2. Calculate the common denominator of (1/c)/((-12)/(-378)) and -3/10.
20
Let w(l) = l**3 + 5*l**2 + 4*l - 1. Let i be w(-3). Suppose 2*t = -i*o + 14, -4*t + 38 + 16 = -3*o. What is the smallest common multiple of 8 and t?
24
Suppose 2*p = -2 + 6. Suppose -2*t = -0*t. Let y = p - t. What is the smallest common multiple of y and 14?
14
Let f = -7657 + 153081/20. What is the common denominator of 19/40 and f?
40
Let j = 49079/16 - 3071. What is the common denominator of j and 53/2?
16
Let d = 8 - -1. Let a(z) = -z - 6. Let c be a(-9). Suppose -2*n + 8 + 1 = -h, -n - c*h = 13. Calculate the lowest common multiple of d and n.
18
Suppose -5*x + 6*x = 10. Wh