d = i + 1. Suppose 5*r + 11 + 6 = -2*z, -4*r = -5*z + 40. What is the smallest common multiple of d and z?
12
Suppose 2*r + 10 = -0. What is the common denominator of 1 - (1 + 98/60) and (1/r)/(48/(-4840))?
30
Let k(d) = 3*d + 7. Let o be k(-1). Suppose 0 = o*w - 0 - 8. What is the least common multiple of 12 and w?
12
Suppose w + 577 = -9*h + 11*h, 5*h + 4*w = 1462. What is the least common multiple of h and 29?
290
Let t(y) = y**2 + 7*y - 2. Calculate the least common multiple of t(2) and 442.
3536
Suppose -5*b + 2*b + 9 = 0. Suppose 4*l + 17 = -3*s, 11 = -s - b*l - l. Let j(d) = d**2 + 3*d + 4. What is the lowest common multiple of j(s) and 4?
4
Let o = 47 + 16. Let a = o - 60. Calculate the least common multiple of 5 and a.
15
Let c = -7304279/128 - -57065. Calculate the common denominator of c and 93/40.
640
Suppose -600 + 120 = -2*b. Suppose 0 = -v + 6*v + b. Let x = -3529/9 + 393. What is the common denominator of v and x?
9
Let j = 22 - 8. Let l(c) = c**2 - 4*c + 6. Let n = 6 + -2. What is the smallest common multiple of j and l(n)?
42
Suppose 22 = r + o, 2*r + 0*r - o = 47. Suppose 18*j - r*j = -80. What is the smallest common multiple of j and 2?
16
Let d(v) = v**2 + 17*v - 16. What is the least common multiple of d(-19) and -1 + (-3)/3*-23?
22
Let l = -205 - -385. Calculate the smallest common multiple of 18 and l.
180
Suppose -159 = -6*l - 33. Calculate the smallest common multiple of l and 12.
84
What is the least common multiple of 182 and (-3)/(-30)*262 + (-45)/225?
182
Find the common denominator of (-66)/(-28)*(1050/108)/5 and 79/4.
12
Let c be ((-3)/(-2))/((-9)/(-12)). Calculate the lowest common multiple of (3 - 5) + -1 + 73 + c and 18.
72
Suppose -74 = -7*p + 3. Let n be 4*(-3 - (-4 + 0)). What is the lowest common multiple of n/18 - (-86)/18 and p?
55
Suppose -3*i - 101 = 3*w + 142, -5*i - 326 = 4*w. Let b = w + 1095/14. What is the common denominator of (-700)/(-40)*(-13)/(-45) and b?
126
Suppose 3*f + 2875 = -2*f. Let u = f - -60. Let v = u - -2073/4. Calculate the common denominator of v and 27/7.
28
Let j(m) = -8*m - 41. Let c(a) = 3*a + 14. Suppose -y + 11 = -2*y. Let l(r) = y*c(r) - 4*j(r). Calculate the smallest common multiple of 10 and l(0).
10
Suppose -4*y + 2*c + 74 = 4*c, 5*y - 3*c = 87. Let h = -6 + 10. Suppose -h*a + 0*a = -176. Calculate the smallest common multiple of a and y.
396
Suppose 1045 = -2*y + 307. Calculate the common denominator of ((-2)/36)/((-9)/y) and -29/15.
90
Suppose i - 124*y - 7 = -125*y, -i = 5*y + 9. Calculate the lowest common multiple of 106 and i.
1166
What is the common denominator of 40 and 2 - (0 - 0) - (-7068)/(-3252)?
271
Let d = 0 + 6. Let x = 647 - 640. Calculate the least common multiple of x and d.
42
Suppose h - 4*h = -9. Let x(t) = 4*t**3 + 2*t**2 - 5*t + 2. Calculate the lowest common multiple of h and x(1).
3
Let v(b) = b**2 + 9*b + 6. What is the smallest common multiple of 2/((-6)/(-93)) + 9 and v(-11)?
280
Let v = 3899/18 + -214. Find the common denominator of 111/190 and v.
1710
Let m(n) = -32*n**2 + 9*n + 13. Let w be m(-4). Find the common denominator of 0 + w/(-75) + -1 and 13/30.
30
Let v = -98/51 - 1409/408. Let b = -4/2891 + -245711/17346. Calculate the common denominator of v and b.
24
Let d(s) be the second derivative of -s**4/4 - 13*s**3/6 + 5*s**2/2 + 21*s. What is the lowest common multiple of d(-4) and 4?
36
Let c(m) = -3*m - 8. Let w be c(-6). Calculate the common denominator of (-1309)/(-132) - (-1 - w/(-4)) and 5/14.
84
Suppose -g + 0 = 18. Let y = -6 - g. What is the smallest common multiple of y and 6?
12
Suppose 0 = 50*h - 0*h - 300. What is the least common multiple of 6 and h?
6
Suppose -2*w = c + 99 + 205, 5*c + 1550 = 5*w. Let y be (-20)/70 + (-795134)/c. Let l = y - 2582. Calculate the common denominator of l and -71/16.
176
Suppose 0 = -a + 2*w + 31, 3*a + 2*w - 7*w - 94 = 0. Calculate the smallest common multiple of a and 21.
231
Suppose -3*n = -2*s + 17, 5*s + 3*n = 13 - 2. Suppose -6 = p + 3*g, -2*g - 12 = g. Calculate the lowest common multiple of s and p.
12
Let t(s) = s**3 + 8*s**2 + 3. What is the lowest common multiple of t(-5) and 2?
78
Let o = 39941/3 - 1557760/117. Calculate the common denominator of o and -13/54.
702
Suppose 29 = 4*c - r, 5*r - 1 - 4 = -5*c. Calculate the smallest common multiple of c and 2 + 12/(-5) - (-128)/20.
6
Let v be 3 - (-16*24)/4. Let j = v - 143. Find the common denominator of -101/4 and j/(-15) + 16/24.
20
Let c(q) = -2*q - 35. Let n(f) = 2*f + 17. Let m(z) = -2*c(z) - 5*n(z). What is the lowest common multiple of m(-5) and 9?
45
Let j = 45/164 - 9661/4428. What is the common denominator of 121/36 and j?
108
Let h(n) be the first derivative of n**4/4 - 4*n**3/3 + 3*n**2/2 - 4*n - 4. What is the least common multiple of h(4) and 22?
88
Let d = 53197/8 + -6661. Suppose -4*y = -3*y - 1713. Let w = y + -6815/4. What is the common denominator of w and d?
8
Suppose 5*t = -3*j + 2*j + 701, 0 = 4*t - 12. What is the lowest common multiple of (-2)/12 + 3 + j/12 and 16?
240
Let f(b) = -b**2 + 8*b - 3. Let p be f(7). Suppose -25 = -3*z - t, -p*z - t - 20 = -6*z. Let c(n) = n - 3. What is the smallest common multiple of 6 and c(z)?
6
Let k(i) = 8*i + 3*i + 12*i - 20 - i**2 - 4*i. Let c be k(15). Calculate the least common multiple of 4 and 208/c + (-2)/10.
20
Suppose 0 = b + z + 4, 5*b = 4*b - 2*z - 8. Suppose -r + 36 = -b*r. What is the smallest common multiple of 20 and r?
180
Let y(x) = 11*x**2 - 20*x. Let q(l) = 20*l**2. Let g be q(-1). Let z = g + -11. What is the smallest common multiple of y(2) and z?
36
Let z(d) = -7*d**3 - 3*d**2 - d + 2. Let w be z(-2). Suppose 6 = 3*f - w. Calculate the lowest common multiple of f and 80.
720
Let j = -5/45464 + 437741/1363920. What is the common denominator of j and 137/120?
240
Suppose -3*h = 2*h - 260. Find the common denominator of 80/400 + (-404)/(-30) and h/12*(-3)/7.
21
Calculate the common denominator of -93/14 and -5 + 0 + (-4248)/(-945).
210
Let r = 3653/18 + -203. Let f = -20/9741 - -35642399/38964. Let m = 922 - f. Find the common denominator of r and m.
36
Let x = 7/4 - -67/12. Calculate the common denominator of -2 and x.
3
Suppose 2*n - 38 + 129 = -5*s, 0 = -3*n - 4*s - 140. Find the common denominator of 133/6 and ((-10)/21)/(n/308).
18
Calculate the common denominator of ((-185)/444)/(3/34) and 169/150.
450
Let c = -1122/403 - -107945692/38772227. Let i = -7119532/3174897 - c. Find the common denominator of 35/3 and i.
33
Suppose 0 = g - 7084 + 6751. What is the smallest common multiple of g and 15?
1665
Calculate the common denominator of -3*5/15*27/(-49) and 55/63.
441
Let q(d) = d - 5. Suppose -l - 2 + 9 = 5*r, 4*l = -3*r + 79. What is the lowest common multiple of q(7) and l?
22
Let x(r) = r**3 + r**2 - 2*r + 2. Suppose i = -3*t + 4, -2*t = i - 1 - 3. Let m be x(t). Calculate the common denominator of -9/8 and 123/(-12) - m/(-4).
8
Let j = 896 - 846. What is the lowest common multiple of 200 and j?
200
Let z be -11*(-5)/((-20)/8). What is the common denominator of -101/30 and (-7)/21*(-146)/z?
330
Let u be 1 - 3/(42/74267). Suppose -10*o + 59145 = 6155. Let q = o + u. Find the common denominator of -43/30 and q.
210
Let o = -190/1253 + 21500987/5012. Let b = -2335 + 6601. Let f = o - b. Find the common denominator of -103/26 and f.
52
Find the common denominator of -55/108 and -6 - (10 + 5028/(-216)).
108
Let g = -586/5 - -13217/110. What is the common denominator of 43/778 and g?
8558
Let u(p) = 5*p**3 + 4*p**2 + 5*p + 7. Let s be u(6). Let z = 689 - s. What is the lowest common multiple of 12 and z/(-99) + 4/18?
12
Find the common denominator of -50/7 and ((-4)/8)/((-11)/(-803)) - 4.
14
Let f = -184/1507 + -43202/411411. Find the common denominator of 121/42 and f.
546
Let g(i) = -3*i - 31. Let r be g(-9). Calculate the lowest common multiple of (r + 48/(-6))/(1/(-2)) and 36.
72
Let w(i) = 3*i**3 - 2*i - 12*i**2 - i**2 - 4*i**3 - 18. Suppose -78 = -15*o + 21*o. Calculate the least common multiple of w(o) and 6.
24
Let s = 253 - 235. Calculate the lowest common multiple of s and 22.
198
Calculate the least common multiple of (-21)/(1890/(-36)) + (-1796)/(-10) and 30.
180
Suppose -55*o - 264 = -19624. What is the least common multiple of o and 32?