. What is the least common multiple of 366/8 + 18/u and r?
184
Let m = 551/4 - 2503/20. Calculate the common denominator of 23/10 and m.
10
Suppose 2 = v - 3*i, -4*i = -5*v + 6 + 4. Suppose v = 3*j - 28. Suppose -5*z + z = -88. Calculate the smallest common multiple of z and j.
110
Let v = -75 - -136. Calculate the common denominator of -17/22 and (1/(-3))/(50/15)*v.
110
Suppose -24 + 9 = -3*d. Suppose 4*l - 88 = -d*a, 0 = -a - 3*a - 2*l + 68. Let b = 14 - -2. Calculate the least common multiple of b and a.
16
Let x = -87617251/310 + 282636. Calculate the common denominator of x and -113/20.
620
Suppose 26 - 46 = -5*i. Suppose -2 + 5 = 3*f. Let y = 3 + f. Calculate the smallest common multiple of y and i.
4
What is the smallest common multiple of 8 and (12 - 0)*(-5925)/(-150)?
1896
Let q = 2846/5 - 576. Find the common denominator of -26/15 and q.
15
Let j(d) = 641*d - 11. Let n be j(-4). Find the common denominator of 59/16 and 2/30*n/20.
48
Let l be (-3 + 4)*-3*(-1429)/(-12). Let m = -378 - l. Find the common denominator of m and -65/28.
28
Let i = 127271/12 + -10615. Let f = -54053/12 + 4499. What is the common denominator of f and i?
12
Suppose 34*m + 4389 = 15983. What is the least common multiple of m and 217?
2387
Let x = 459 - 662. What is the common denominator of (-355)/(-144) + (-2)/(-9) + 2 and (1 - -1)/((-392)/x)?
112
Let u(p) = -34*p**3 + 2*p**2 + 7*p - 5. Let i(o) = 17*o**3 - o**2 - 3*o + 2. Let l(z) = 9*i(z) + 4*u(z). Calculate the least common multiple of l(1) and 27.
135
Let g = -608/235 + 1577/12690. Calculate the common denominator of 31/72 and g.
216
Let j(u) = -1. Let d(p) = 2*p**2 - 2*p - 13. Let c(m) = d(m) - 6*j(m). What is the least common multiple of c(3) and -1 + 9/(-6)*-2?
10
Suppose -5*z = 5*m, 12*z + 16 = -m + 7*z. What is the lowest common multiple of 18 and m?
36
Suppose 8*a - 3*a = -260. Let u = a - -62. Calculate the smallest common multiple of 22 and u.
110
Let l = -39 + 62. Let j = -15 + l. Suppose j*t = 2*b + 3*t - 33, -b - t = -13. What is the smallest common multiple of 10 and b?
70
Let l(g) = -3*g**2 + 1. Let o be l(-1). Let w(z) = -16*z**3 + 7*z**2 + 3. Let q be w(-3). Find the common denominator of (q/4)/(29 + o) and -15/8.
72
Suppose -2*n - 3*l - 13 = 0, -3*n + 0*n - 3*l = 15. Find the common denominator of (-2)/(-3)*(4 - (-67)/n) and 133/24.
24
Suppose 3*b - 9 = -54. Let f = 19 + b. Suppose f*h - 17 = -1. Calculate the least common multiple of 2 and h.
4
Suppose 0*p + 20 = 4*p, -2*f - 4*p = 19814. Let s = 119149/12 + f. Find the common denominator of s and 37/11.
132
Let y = -145 - -177. Calculate the common denominator of 55/14 and ((-1)/6)/(1*8/y).
42
Let t(j) = j**2 + 16*j + 5. Let w be t(-16). Suppose w*z + 6*z - 33 = 0. Let q = 18 + -12. Calculate the lowest common multiple of q and z.
6
Let c be 10*(-2 + 1) - 4. Let w = c - -18. Let x = 6 + w. What is the least common multiple of x and 18?
90
Suppose 2*w + 6 = 5*u - 4, -5*w - 5*u + 45 = 0. Suppose -w*d - 3 = 17. Calculate the common denominator of -77/10 and d + 5 + (-114)/4.
10
Let y(a) = 2*a**2 + 3*a - 9. Let u be (-6)/9 - 42/(-9). Suppose 0 = 5*h + u + 16. What is the lowest common multiple of 1 and y(h)?
11
Suppose 5*g + 5 + 2 = a, 4*a - 5*g - 13 = 0. Suppose 5*p - 55 = -a*t, t - p = 6*t - 80. What is the lowest common multiple of 9 and t?
45
Let f(o) = -o**3 - 6*o**2 + 3*o - 4. Let t be f(-7). What is the common denominator of ((-242)/t)/((-5)/(-10)) and 26/(-22)*(-3 + 4)?
66
What is the lowest common multiple of 12 and (12/(-2))/((-18)/1428)?
1428
Let a = -233/2 - -124. Calculate the common denominator of 44/42 + (-4)/(-6) and a.
14
Suppose 0 = 4*w + 2*w - 126. Calculate the lowest common multiple of 6 and w.
42
Let q = -135/17 - -2107/306. Calculate the common denominator of q and -15/88.
792
Let u = -399 + 447. Calculate the common denominator of 21/22 and u.
22
Let p be (-87)/(-9) + (-3)/(-9). Let g(t) = 19 - 7*t - t**2 + 4*t - 8*t + 2*t**2. Calculate the least common multiple of 10 and g(p).
90
Let n(u) = 11*u - 4*u + 14*u. Let h = -151 - -109. What is the common denominator of h and n(2)?
1
Suppose 0 = 2*k - 0*f - 2*f + 2, 0 = -4*k + f - 1. Let u = 16 - k. Let g = -1 + 15. Calculate the lowest common multiple of u and g.
112
Let y = 2604371 - 67755595/26. Let d = y - -3247/2. Let j = -187/65 + d. Calculate the common denominator of j and -44/9.
45
Let r(f) = -f + 7. Calculate the least common multiple of 52 and r(-1).
104
Let f = -2841 - -17089/6. Let t(p) = -p**3 - 4*p**2 - 15*p + 4. Let j be t(10). Let x = 12313/8 + j. Find the common denominator of x and f.
24
Let a(t) = -50*t + 50. Let m be a(-12). Suppose 3*b - m = -10*b. What is the lowest common multiple of 55 and b?
550
Let l = 329 - 318. Let c = 6 - 4. Suppose a - c*d = 4*a - 35, -5*d + 16 = a. What is the smallest common multiple of a and l?
11
What is the smallest common multiple of 28 and ((-14)/8)/((-1)/32)?
56
Let j = -9247229/30 + 308273. Let c = j + -106/3. Find the common denominator of ((-26)/(-195))/((-6)/261) and c.
10
Let j(w) be the second derivative of w**5/20 - 3*w**4/4 + 5*w**3/3 - 9*w**2/2 + 5*w. Let a = 14 + -6. What is the lowest common multiple of j(a) and 1?
7
Calculate the common denominator of -133/12 and (4/224*-2)/((-15)/790).
84
Let c be 66/(-80)*2266 + (-6)/(-30). Let f = -1892 - c. What is the common denominator of ((-2)/(-6))/(4/(-510)) and f?
4
Let c(x) = 2*x**3 + 10*x**2 + 8*x + 6. What is the lowest common multiple of 4 and c(-4)?
12
Let r be (-3 - 8066) + 2 + (1 - 1). Let p = r + 177439/22. What is the common denominator of p and 3/20?
220
Let x(y) = -25*y**2 - 1. Let v be x(-1). Suppose j + 2*q = 38, 263 = 4*j - 2*q + 91. Let g = v + j. Calculate the lowest common multiple of g and 20.
80
Suppose q + 316 = -3*q. Calculate the common denominator of 43/18 and (-6)/18*q/6.
18
Let d(v) = 6*v + 27. Let o be d(-6). Let i(n) = -7*n - 1 - 6*n + 4*n - n**3 + 15 - 10*n**2. Calculate the least common multiple of i(o) and 22.
154
Calculate the common denominator of 61/110 and (9 - 3588/400)*(-202)/(-6).
1100
Let p be (-5)/(-2) + 7/14. Suppose 0 = -p*l + 4*l - 1629. Let v = 32607/20 - l. Find the common denominator of v and -3/16.
80
Suppose 0 = 3*t - 17 + 5. Suppose m - 22 = -t. What is the lowest common multiple of m and 7?
126
Let w be 2/(-6) - (-5)/15. Suppose 2*t - 2*h + 8 = 0, w = -3*t - 4*h + 2. Find the common denominator of (t - -1) + (-255)/10 and -40/11.
22
Let s be 0 - (1 + 1 - 50). Suppose -n + s = 3*n. Suppose -2*u - n = -44. What is the least common multiple of u and 8?
16
Let x = -50 + 59. What is the common denominator of 3 - (-4 - (-13)/x) and -50/9?
9
Let l = -124 - -577/5. Suppose 0 = -5*j - 4*d + 9, -4*d = j + 1 - 6. What is the common denominator of j + -5 - 369/45 and l?
5
Let v be (18 + 17)*12/2. Let o = v + -148. What is the smallest common multiple of o and 6?
186
Let p = -92 + 171. Find the common denominator of 47 and -3*(-1)/(-6)*p.
2
Suppose 4*j = 2*n + 114, -3*j = 5*n - 96 + 4. Let l = -21 + j. Calculate the lowest common multiple of l and 6.
24
Let w = 15203/10 + -1513. Find the common denominator of (-2249)/(-260) + 6/(-2) and w.
20
What is the least common multiple of 882/(-36)*(-64)/28 and 80?
560
Suppose 0 = -2*v - 4*l - 26, 65 = -5*v - 5*l - 0*l. Suppose y + 3*t = -t - 15, -2*t = 3*y + 35. Let j = y - v. What is the least common multiple of 10 and j?
10
Suppose 2*x - 4*x - 7 = 5*t, 0 = 4*x + t - 13. Let l be 2/x*262*1. Find the common denominator of 63/8 and (l/7)/(72/(-84)).
24
Let j = 40 - 7. Let d = -58 + 73. Calculate the lowest common multiple of j and d.
165
Let i(t) = -t - 7. Let z be i(-5). Let n = 10 - z. Suppose -2*h + n + 6 = 0. Calculate the smallest common multiple of h and 5.
45
Let p = -35 - -38. Suppose 15 = p*b, -5*b = a - 2*b - 33. Calculate the lowest common multiple of a and 14.
126
Suppose -285 - 247 = -7*h. What is the smallest common multiple of 12 and h?
228
Suppose -5 = -3*w + 4. Calculate the smallest common multiple of 9 and w.
9
Suppose -f = 4*c - 19, -3*f = -3*c - 3 + 6. Let k(a) = -a**3 + 4*a**2 + a + 3. What is the least common multiple of 1 and k(f)?
15
Suppose 3*l - 5*l + 1420 = 0. Suppose 3*s + 2*s = l. Calculate the common denominator of 1 + -2 - s/(-28) and 79/20.
140
Let p(u)