be 10/8*(1 - -3). Suppose a*f + 0*f = 25. What is the least common multiple of f and k?
5
Suppose 32 = -5*o - 28. Let g = -2161/9 - -242. Find the common denominator of g and 2/o - 1864/(-240).
45
Let i = -524 + 364. Let l = 1165/7 + i. Calculate the common denominator of l and -5/24.
168
Let v be ((-12295)/(-10))/((-36)/844). Let a = 28833 + v. Find the common denominator of a and -50/9.
18
Suppose 2*w + 2 = -4*f, 7*w + 21 = -2*f + 2*w. Suppose 4*g - 24 = -f*x, -5*g + 7 = -4*x + 68. Calculate the lowest common multiple of x and 32.
224
Let m(x) = -x**2 + 10*x + 10. Let p = -17 - -26. Let k be m(p). Let g = k - 13. Calculate the lowest common multiple of g and 10.
30
Let f be -4 + 32 + -2*1. Let a = f + 8. Calculate the smallest common multiple of a and 20.
340
Let g = -9 + -4. Let z = g + 33. Calculate the common denominator of (0 + (-546)/z)/3 and -46/9.
90
Let b(z) = z**3 - 15*z**2 - 16*z + 24. What is the smallest common multiple of b(16) and 20?
120
Let s(i) = -i**2 - 2*i + 3. Let b be s(-3). Suppose -k - u + 10 = b, 0*k = 2*k + 3*u - 24. Calculate the least common multiple of k and 22.
66
Let r = -1686065/11 + 153399. Let f = r + -119. Calculate the common denominator of -4/35 and f.
385
Let j = -74189/25184 + -18/787. What is the common denominator of j and 91/172?
1376
Suppose 5*j - 3*k = 2*k, -15 = -3*j - 2*k. Suppose -g - 4 = q - 107, 291 = 3*g - j*q. Calculate the common denominator of (71/g*2)/1 and 101/6.
150
Let k be (126691/6)/(4/(-236)). Let p = k + 1241850. Let s = -3923 - p. What is the common denominator of s and -8/7?
42
Suppose -19*x = -7*x - 144. Calculate the lowest common multiple of x and (-2)/3 - (-912)/18.
300
What is the lowest common multiple of 25 and 7 - (3 - 6) - 0?
50
Let b = -9 + 12. Suppose 0 = -4*l - b*j - 61, -2*l - 3*j = -3*l - 19. Calculate the common denominator of (-4)/(-4) - 150/l and 57/20.
40
Let b = 1813 - 1805. Calculate the smallest common multiple of b and 72.
72
Suppose -7 - 9 = -2*w. Let x(h) = -h**3 + 8*h**2 + 4*h + 8. Let d be x(w). What is the common denominator of -17/10 and (-6)/d*(-678)/(-9)?
10
Let a = -705509/170 + 16599/4. Calculate the common denominator of 95/22 and a.
3740
Let p = -131 + 156. What is the smallest common multiple of p and 75?
75
Suppose -97*v + 640 = -57*v. What is the smallest common multiple of v and 174?
1392
Suppose -5*q - 77 = -2*z + 32, 0 = 5*z + q - 205. Calculate the lowest common multiple of z and 8*(4 - (-1 - -3)).
336
Let m(y) = -2*y**3 + 28*y**2 - 43*y + 4. Calculate the least common multiple of 16 and m(12).
64
Let j(m) = -2*m**2 - 21*m - 5. Let k(o) = 2*o**2 + 20*o + 4. Let w(p) = 5*j(p) + 4*k(p). Calculate the least common multiple of 30 and w(-12).
30
Let f = 25 + -91. Find the common denominator of 4/(-8) + (-255)/f and (-1)/(-6)*(-1 + -141) + 1.
33
Suppose 3*g = -13 + 10, 5*w - 4*g - 24 = 0. What is the lowest common multiple of 10 and w?
20
Suppose -4*m + 4 = 0, -4*m - m = -4*o + 51. Let s(x) = 0*x + 2*x - 4*x - o. Calculate the lowest common multiple of s(-10) and 12.
12
Suppose 7*t - 5*h = 2*t + 45, 0 = t - 5*h - 25. Suppose 38 + 72 = t*q. Calculate the lowest common multiple of q and 5/(3/(-18)*-3).
110
Calculate the common denominator of (-1 - (-96)/10)/(12/5) and -31/27.
108
Suppose 3*s + 51 = 3*n - 0*n, -4*s - 5*n - 50 = 0. What is the least common multiple of 2 and 15/(0 - 5) - s?
12
Let k be ((-450)/(-4))/(8/314). Let q(u) = 550*u**3 + 5*u**2 - 5*u - 2. Let h be q(2). Let a = k - h. Find the common denominator of -46/3 and a.
24
Let d = 19573759/10 + -1962075. Let s = 4690 + d. What is the common denominator of s and 9/(-1)*(-38)/48?
40
Let o = 3 - 1. Suppose -42 = -o*f - 12. Calculate the lowest common multiple of 2 and 5/f + (-11)/(-3).
4
Let h = -5504 - -71587/13. Find the common denominator of 77/4 and h.
52
Let u(y) = y**3 - 13*y**2 - 4*y + 210. Calculate the lowest common multiple of u(14) and 50.
350
Let b = 106 - 103. Suppose -64 = -4*l + c + b*c, -16 = -l - c. Calculate the least common multiple of l and 70.
560
Suppose 86 = -5*l + 1. Let k = l + 6. Find the common denominator of (70 - 3)/(2 + k) and -10/9.
9
Suppose 5*k - 5*l = -165, -3*k - 92 - 31 = 5*l. Let j = 46 + k. What is the lowest common multiple of 18 and j?
90
Let w = -8567/6 - -1451. Let k(a) = -4*a - 10. Let j be k(-4). What is the common denominator of (-265)/10 - (-3 + j) and w?
6
Suppose -4*c - 2*p - 16 = 0, -c + 1 - 5 = 2*p. Calculate the smallest common multiple of 26 + -1 + c/4 and 16.
48
Let c = 14 - 8. Let p(o) = -o**2 - 33*o + 92. What is the least common multiple of p(-35) and c?
66
Let r be 6/4*(-68)/(-54825). Let d = 69869/3225 + r. Find the common denominator of d and -65/8.
24
Suppose 337 - 43 = 49*y. What is the common denominator of (-4 - -1)*332/48 and y?
4
Suppose 251 = -5*t - 1489. Find the common denominator of -2*(-2 + t/(-32)) and -67/3.
12
Let z(h) = -h + 10. Suppose -2*s + s = -3, -2*s = 3*m - 30. What is the lowest common multiple of m and z(-4)?
56
Let h = 28439/15 + -1900. What is the common denominator of h and -47/75?
75
Let u be 2 - (12442/(-2324) + (-6)/21). Let k = u - -2/581. Calculate the common denominator of 87/16 and k.
112
Let t(n) = 12*n + 7. Let l be t(3). Let q = l - 78. Find the common denominator of q and ((-5)/4)/((-10)/(-45)).
8
Suppose 0 = 2*t + 2*r - 12, -5 - 7 = -t - 4*r. Let f be (t + 46)/(-4 + 2). What is the common denominator of 11/12 and (292/(-110))/((-20)/f)?
132
What is the common denominator of 151/216 and 813/108 + -7 + 0?
216
Let u(f) = -f**3 + 6*f**2 - 2*f - 15. What is the smallest common multiple of u(3) and 9?
18
Let p = -303 + 319. Calculate the least common multiple of 6 and p.
48
Let a(h) = 5*h + 4. Suppose -3 = -2*k + 2*i + 7, -5*i - 13 = k. Let u be a(k). Let n = -3 + u. Calculate the smallest common multiple of 2 and n.
22
Let y(l) = 8*l**2 + 5*l + 4. Let o be y(-4). Suppose 14*q = 21*q - o. Let p(b) = b**3 + 4*b**2 - 3*b + 4. What is the least common multiple of p(-4) and q?
16
Calculate the least common multiple of 3/8 - 385/(-40) and 505.
1010
Let d(j) = 8*j**2. Suppose -5*a - 30 = 35. Let q = -12 - a. Calculate the lowest common multiple of d(1) and q.
8
Let r = 10 + 16. Find the common denominator of r and (-343)/(-42)*4/(-6).
9
Let l = 14 - 10. Let i = -1 + l. Calculate the common denominator of (-1518)/(-36) - (-1)/i and 39/8.
8
Let n(s) = s**3 - 7*s**2 + 13*s - 10. Suppose -3*o + 5 = -2*o. Calculate the least common multiple of 2 and n(o).
10
Let j = -118 + 183. What is the lowest common multiple of j and 5?
65
Calculate the common denominator of 109/36 and -1 - 5 - 15007/(-1290).
180
What is the common denominator of 484/216 - 3/(-4)*-4 and 55/54?
54
Suppose -2*f + 3*q + 849 = 2*q, 5*f - 2127 = q. Suppose 2 - 182 = -2*u - 4*l, f = 5*u + 2*l. What is the lowest common multiple of u and 12?
84
Suppose 4*u = -5*l, 4*u = u - l. Suppose u*j - 39 = -3*i + 4*j, 3*j = 0. Let g = -8 + i. Calculate the smallest common multiple of 11 and g.
55
Let i be (53509/73)/(4/(-13)). Suppose -3*z - 7083 = 3*y - 4*z, -y = 2*z + 2354. Let j = i - y. What is the common denominator of j and 21/5?
20
Let u be 4/14 - (-36)/21. Find the common denominator of -23/2 and u/(-9) + (-775)/90.
6
Let w = -928 + 998. What is the smallest common multiple of w and 110?
770
Let f = -42501 + 22440521/528. Calculate the common denominator of f and 61/32.
1056
Let s(h) = -3*h**2 - 20*h + 2. Suppose 0 = k - 4*k + 186. Calculate the lowest common multiple of k and s(-6).
434
Suppose 4*i + i = 25, 769 = -m - 3*i. Let k = m + 1533/2. Find the common denominator of 17/8 and k.
8
Let a = -3 + 25. Let n = -3275 + 3277. Calculate the smallest common multiple of n and a.
22
Let w = -285/7 + 951/28. Find the common denominator of 469/(-4)*(-6)/42 and w.
4
Let m = 100 + -65. Suppose 5*l + 0*z - m = z, 5*l = -5*z + 35. Let k(d) = -4*d + 1. What is the lowest common multiple of k(-2) and l?
63
Calculate the common denominator of (1/8)/(14/(-35)) and -63/340.
1360
Let y(d) = -427*d**2 + d - 1. Let p be y(1). Let w = p - -273. Find the common denominator of (1/(-1))/(w/(-238)) and -91/8.
88
Suppose 4*a - 5*c = -37630, -3*a + 3*c - 37626 = a. Calculate the common denominator of (a/(-230))/9 + -3 and -37/16.
368
Let s(u) = 2*u + 9. Let v(x) = -