t b(p) = -p**2 - p + 3. Let g be b(4). Let x = g - -29. Let h = 16 - x. Calculate the least common multiple of h and 2.
4
Let k = 1231 - 951. What is the least common multiple of 35 and k?
280
Suppose -5*w + 10*w - 55 = 0. Suppose -3*i = -16 + 4. What is the smallest common multiple of i and w?
44
Let f be 6/(-30) - 128656/7170. Let l = f - 11/478. Calculate the common denominator of (-4)/(-32) + 1/(-4) and l.
24
Suppose -2*l = k - 14, -40 = -2*k - l - 0*l. Calculate the lowest common multiple of (-4)/(-1)*-21*-1 and k.
924
Suppose p - 31 + 10 = -5*i, i = -5*p + 9. What is the least common multiple of 2 and i?
4
Let x be -12*1/2*-2. Let m = x + -14. Let i = 2 - m. Calculate the least common multiple of 8 and i.
8
Let t(a) = -a**3 + 6*a**2 - 4*a + 4. Let j(r) = -r**2 + 4*r + 6. Let o be j(4). Let w(m) = -m + 16. What is the smallest common multiple of w(o) and t(4)?
20
Calculate the common denominator of -29/147 and ((-2)/(-36))/(252/(-621)).
1176
Let c be ((-20)/15)/((-2)/3). Suppose -16 = -c*i - 4. Let n = i - -6. What is the smallest common multiple of 2 and n?
12
Let m(g) = 22*g + 64. Let r(f) = -7*f - 21. Let z(u) = 2*m(u) + 7*r(u). What is the lowest common multiple of z(-5) and 88?
264
Let p = -52/25 + 691/200. Let h = 47361/7520 - -3/1504. Find the common denominator of h and p.
40
Let q(g) = -9*g + 2. Let r be q(2). Calculate the common denominator of 2/4 + r/(-10) and 1/1*97/(-4)*2.
10
Find the common denominator of -37/84 and 770/144 + (2 - 26 - -18).
504
Let d be ((-1491)/6 - -3) + 4. Let u = d - -1719/7. Find the common denominator of 33/26 and u.
182
Let a = -6135/16 + 384. Let g = -38020072/95 - -400206. Let h = 31/38 - g. What is the common denominator of h and a?
80
Let a(c) be the first derivative of c**3/3 - 5*c**2/2 + 4*c - 1. Let n be a(6). Let b = -2 + n. What is the smallest common multiple of 5 and b?
40
Find the common denominator of -13/12 and (-22)/((-55)/5) - 417/154.
924
Let v(s) = s - 12. Let d(l) be the second derivative of l**3/6 - 6*l**2 - 2*l. Let x(t) = 7*d(t) - 6*v(t). What is the lowest common multiple of 18 and x(16)?
36
Suppose 4*l + 2*k = 6*k + 72, -90 = -5*l + 2*k. Suppose -2 = 3*s - 8. Suppose 0*v - s*v = -12. Calculate the smallest common multiple of l and v.
18
Let c(q) = 65*q - 421. What is the smallest common multiple of c(8) and 99?
99
Let a(d) = 3*d**2 - 2*d. Let s be a(-2). Suppose 5*c - s = 4*c. Suppose -m = -q - c, -39 = -m - 2*q - 11. What is the lowest common multiple of m and 2?
20
Let r = 4/1295 - -145028/3885. Let c = r + -263/6. Find the common denominator of (-21)/42*67/(-3) and c.
6
Suppose 529*c - 528*c = 12. Calculate the lowest common multiple of 21 and c.
84
Let m = -110 - -69. Let a = 57 + m. Calculate the least common multiple of 2 and a.
16
Let i(k) = -3*k + 99. What is the least common multiple of i(28) and 579?
2895
Let a(t) = -t**2 + 12*t - 7. Let r(x) = 3*x - 12. Calculate the smallest common multiple of a(11) and r(6).
12
Let i(y) be the second derivative of y**3/2 - 4*y**2 + y. Let f = 32 + -24. Calculate the smallest common multiple of i(f) and 20.
80
Suppose -22*h + 23*h = 2. What is the lowest common multiple of 232 and h?
232
Find the common denominator of (-110)/(-30)*(-39)/180 and -5/132.
1980
Suppose -2*v - 6*v = 0. Find the common denominator of (4 + v)*(2 + 145/(-110)) and 101/8.
88
Let i = -20 - -14. Let m = 15 + i. Let q(x) = x**3 + 12*x**2 + 12*x + 15. What is the least common multiple of m and q(-11)?
36
Suppose 2*q + q = p - 14, 3*p - 30 = 3*q. Calculate the lowest common multiple of 9 and p.
72
Let p(j) = -32*j**3 - j**2 + 1. Let v be p(1). What is the common denominator of -51/2 and 6/v*-58 + 0?
8
Let k = -263 + 343. What is the least common multiple of 50 and k?
400
Calculate the lowest common multiple of 126 and (44/5)/(112/140).
1386
Let c(m) = 4*m - 13. Let x be c(4). Suppose 0 = 4*w + 2*r - 118, -x*w - 12 = 2*r - 103. Calculate the smallest common multiple of 30 and w.
270
Let i be (-4094)/9618 - (-4 - (-150)/42). Let f = i + 8875/19236. Calculate the common denominator of 23/24 and f.
168
Calculate the common denominator of -11/12 and -1 - ((-9)/(-10))/(231/805).
132
Calculate the least common multiple of 64 and (-1 + 4)/(60/320).
64
Let d(n) = n**3 + 14*n**2 + 1. Let p(a) = a**2 - 1. Let h(r) = d(r) - 5*p(r). What is the least common multiple of h(-9) and 10?
30
Let q = -12980/9 + 1444. Let n be (3 + -3737)/(7515/(-17)). Let f = -2/835 + n. Find the common denominator of q and f.
9
Let y(f) = f - 2. Suppose -4*k = -k - 27. Let d be y(k). Suppose -5*l = -p - d, 3*l = -2*l + 15. What is the smallest common multiple of 34 and p?
136
Let o(t) = 1686*t**2 - 3. Let d be o(2). Suppose f = -5*m - 5540, d = -2*f + 5*m - 4324. Let x = -33301/6 - f. Calculate the common denominator of 1/11 and x.
66
Let z(m) = -m**3 + 7*m**2 - 5*m - 4. Suppose 0 = 2*f - 6 - 26. What is the least common multiple of f and z(6)?
16
Find the common denominator of -111/28 and (-99)/198 + 41/272.
1904
Let d = -59/106 + -251/2120. Find the common denominator of d and 53/12.
120
Let t(u) = -4*u**3 + 2*u**2. Let m be t(-2). Let r = 126 - 100. Let i = m - r. Calculate the smallest common multiple of i and 10.
70
Let w = 286 + -237. Calculate the least common multiple of w and 2.
98
Let d = -94/921 + 1717/296562. Find the common denominator of d and -13/21.
966
Let q = -901 + 1021. What is the smallest common multiple of q and 45?
360
Let p be -2*582202/(-96) + 1. Let o = 12127 - p. What is the common denominator of 470/44*15/(-75) and o?
264
Suppose 2*v - 3*v = 21. Calculate the lowest common multiple of 16 and (0 + v/2)/(33/(-44)).
112
Let c(o) = 2*o**3 - 23*o**2 - 88*o + 2. Let i(b) = -b + 9. Calculate the least common multiple of i(6) and c(-3).
15
Let y = -214 - -234. Calculate the lowest common multiple of 2 and y.
20
Calculate the common denominator of (-2)/(-12)*2196/60 and (-459)/12*4/(-66).
110
Suppose 2*r - 5*n + 103 = 412, 0 = 4*r + 3*n - 579. Calculate the smallest common multiple of r and 21.
147
Let w = -1799 - -17869/10. Calculate the common denominator of w and (-25)/(-30)*258/20.
20
Let n(p) be the second derivative of 14*p**3/3 - p. Let z be n(-1). Let x = -14 - z. Calculate the lowest common multiple of 16 and x.
112
Suppose q - 2 = -0*q, 4*u = 3*q + 24226. Let l = -36215/6 + u. What is the common denominator of 103/20 - (-4)/8 and l?
60
Let c(s) = 9*s**3 - 2*s + 4. Let z be c(3). Suppose -2*m + 61 = -3*m + f, 0 = -4*m + f - z. What is the common denominator of 6/(-36) - (-458)/m and -49?
5
Suppose 9*a - 4*a + y = -13, -2*y - 16 = 5*a. Let t = -273769/18 + 15203. Calculate the common denominator of 1313/52*(-1)/a and t.
72
Find the common denominator of 1943/116*(-4)/9 and -107/450.
450
Let h be (-13 + 9)*23/(-4). Let j = h - 7. What is the smallest common multiple of (-12)/(-4)*1 - 3 - -20 and j?
80
Let l(s) = 4*s**2 - s + 6. Let x(u) = u**2 - 1. Let c(o) = l(o) - 3*x(o). Calculate the smallest common multiple of c(0) and 27.
27
Let m = 39721/16860 - 5/843. Find the common denominator of 41/38 and m.
380
Find the common denominator of (-1713)/(-272) - (-36)/(14 - 20) and 25/128.
2176
Let o = -470713/24 + 56585/3. Let r = 745 + o. What is the common denominator of r and 29/8?
8
Let q = 130 + -87. Find the common denominator of (-897)/135 + 2/(-15) and q/(-5) + 3/3.
45
Let f(w) = -w**3 + 6*w**2 + 7*w + 2. Let n be f(7). Suppose n*v - v = 0. What is the common denominator of -81/14 and v - (-2 - 46/12)?
42
Suppose 0 = 2*o - 7 - 23. Let x = 8369 - 8360. Calculate the least common multiple of x and o.
45
Let l = 85 + -108. Let g(m) = -m**2 - 21*m + 47. What is the smallest common multiple of g(l) and 5?
5
Suppose -2*t + 11 = -5. Suppose 6*h + 2 = 26. Calculate the smallest common multiple of t and h.
8
Suppose 3*d - 24 = 138. Let u = 55 - d. What is the lowest common multiple of u and 11?
11
Let s = 419 - 411. What is the lowest common multiple of s and 29?
232
Let p = -3 + 7. Suppose p*i - 2*i = 20. What is the lowest common multiple of i and 9 - 0 - (-10)/5?
110
Let j = -6/5363 + -380653/107260. Calculate the common denominator of j and (-213)/(-15)*(-10)/4.
20
Let b = 7/704 - -14601/704. Let q = -4/6317 - 840113/75804. Calculate the common denominator of q and b.
12