= 31*t**2 - t - 3*t - 7*t + t**3 - 22*t**2. What is the smallest common multiple of w(-10) and 35?
70
Let i = 345 + -663/2. What is the common denominator of i and -139/6?
6
Let d(c) = -9*c - 30. Let m be d(-11). Let u = -61 + m. Calculate the lowest common multiple of 1/(8/22)*8 and u.
88
Let r(s) = -s**2 + 2*s + 1. Let d be r(-3). What is the common denominator of 16/40*10 + 124/d and -37/11?
77
Let h = 328063/18 - 18231. Calculate the common denominator of h and 137/120.
360
Let s be -1 + 20/8 + 98563/(-3015). Let a = -2162/67 - s. What is the common denominator of a and -93/2?
90
Let h = -123189/24040 - 2/3005. Suppose 0*z - 2*z + 2*b = -572, -2*z - b = -563. Let p = z - 1121/4. Calculate the common denominator of h and p.
8
Let t(d) = 2*d**2 + 2*d - 3. Suppose b + 3*y = 5, 0 = -2*b + y - 0*y + 24. What is the lowest common multiple of b and t(-3)?
99
Let z = 9828/19 + -2952979/5700. Let v = z - -18/25. What is the common denominator of v and 2/11 + 1497/1386?
84
Let h(y) = 3*y**3 - 6*y**2 + 9*y - 9. Let b be h(3). What is the common denominator of (-305)/b - (3 + -5) and -45/4?
36
Suppose -2*o = 4*b + 9 - 21, 5 = b + o. Let j(g) = 54*g. Let t be j(b). What is the common denominator of -31/6 and (-1284)/t - 2/9?
6
Let b = 141 - -59. Let p = -3 + 7. What is the smallest common multiple of p and b/52 - 14/(-91)?
4
What is the common denominator of (184/(-6)*6/2)/(-34) and -107/30?
510
Let w(q) = -q**2 + 11*q. Calculate the smallest common multiple of 3 and w(2).
18
Let a(x) = -2*x + 5. Let p be a(4). Let n = p - 9. Find the common denominator of -23/2 and 2/n*3/(-10).
20
Let t = -2 - -13. Let d(b) = 2*b - 15. Suppose -2*m - 22 = -2*c + 3*m, -5*c = -2*m - 34. Calculate the lowest common multiple of c and d(t).
42
Suppose j + 2*j - 48 = 0. Let k be (20/(-9 - -4))/((-2)/10). Let u = -6 + k. Calculate the smallest common multiple of j and u.
112
Let i(b) = 2*b**2 - 3*b. Let x(n) = n - 7. Let w be x(11). Suppose -w*k + 3*k + 4 = 0. Calculate the smallest common multiple of 8 and i(k).
40
Let q = -29 + -29. What is the common denominator of -2 - 0 - 145/(-24) and 0 - (-20)/(-144)*q?
72
Let z = -3396 + 50906/15. Calculate the common denominator of z and -121/6.
30
Suppose 4*s = 2*o + 8, 2*o + 5 = -0*o + s. Find the common denominator of 49/4 and o - (3 + (-205)/100).
20
Let t = -96 + 116. Calculate the lowest common multiple of ((-30)/t)/(6/(-8)) and 20.
20
What is the smallest common multiple of (-23 + -117)/(-1 - 1) and 14?
70
Let p = 3/956 + -12563/43020. Let b = 391/360 - p. What is the common denominator of 61/9 and b?
72
Let d = -17372837/160 - -108581. Calculate the common denominator of d and 19/8.
160
Let i be 8*((-21)/6 - -4). Suppose -i = -4*b, -3*b = 5*s - b - 32. Let w(z) = -3*z + 2. What is the smallest common multiple of s and w(-3)?
66
Let r = 2222 + -1894. What is the smallest common multiple of r and 328?
328
Find the common denominator of 80/33 and (134/2948)/((-1)/(1 - -11)).
33
Let i = 222/13 + -2364/143. Find the common denominator of i and -37/28.
308
Let y = -6/1535 + -194909/9210. Let x be 2*-1*(-6)/(-12068). Let o = x - -292679/30170. Find the common denominator of o and y.
30
Let a(p) = 2*p**2 + 72*p + 528. Calculate the least common multiple of a(-9) and 66.
462
Let p(j) = -j**3 + 9*j**2 + j + 5. Let x be p(9). Suppose 0 = -5*l + 136 + x. Calculate the lowest common multiple of l and 18.
90
Suppose 8*k + 2 + 54 = 0. Let y = k + 5. What is the common denominator of 48/11 and (5*-19)/(y/1)?
22
Calculate the lowest common multiple of 57 and -6*(-5)/(60/8).
228
Suppose -3*m = 93 - 342. Calculate the smallest common multiple of 18 and (-9)/(-36) + m/4.
126
Let x(l) = -2*l - 9. Suppose -2*o = 2*o + 68. Let f = -13 - o. Calculate the least common multiple of x(-7) and f.
20
Calculate the common denominator of -79/32 and -1 - (-14 + 16)/(10/(-59)).
160
Let g = 17 - -42. Let q = g + -5. What is the lowest common multiple of 8 and ((-18)/q)/(1/(-3))?
8
Let a = 11694 - 4271. Let q = -348996/47 + a. Let v = 3973/470 - q. What is the common denominator of 51/8 and v?
40
Calculate the lowest common multiple of 471 and 2/(-4)*(10 + -21 - 5).
3768
Suppose -1139 + 1075 = -4*p. Calculate the smallest common multiple of 788 and p.
3152
Let g be 1/(-4) - (-441)/84. Suppose 0 = -2*k - u + 9, -g*k + 3 = -4*k - u. What is the lowest common multiple of 13 - (-1 + 2 + 0) and k?
12
Suppose -5*h - 4*q + 444 = 0, -7*q + 9*q - 2 = 0. Let j = -15 - -26. Suppose -7*b + j*b = h. What is the lowest common multiple of 16 and b?
176
Let i = 644 - 404. What is the smallest common multiple of i and 12?
240
Let j = -1201/30 + 40. What is the common denominator of 161/30 and j?
30
What is the common denominator of 2/7 + 23/(25116/(-2552)) and 7/12?
156
Let n be (49/(-6))/((-1)/(-3)). Let v be 10/6*(-4 - -19). Let w = v + n. What is the common denominator of w and -41/2?
2
Suppose 15*k = 20*k - 495. Calculate the smallest common multiple of k and 18.
198
Let g = -21 - -24. What is the common denominator of -13/12 and (5 + 214/(-10))/(-4*g)?
60
Suppose 5*k + c - 11 = 0, 2*k + 98 = 3*c + 99. Calculate the smallest common multiple of k and 9.
18
Let z be (-7)/(-147)*14/1884. Let d = -43795/22608 - z. Find the common denominator of d and ((-3)/(-108))/((-2)/244).
144
Calculate the common denominator of 15/56 and (712/20)/(4*(-12)/(-30)).
56
Let s be ((-12748)/6)/((-2)/6). Let i = s - 89135/14. Calculate the common denominator of 5 + (-3)/((-90)/215) + -5 and i.
42
Let p = 29 - 17. What is the least common multiple of p and 1?
12
Let s = -11 + 19. Suppose 42 = 2*k + 14. Let t(g) = 2*g**3 - 27*g**2 - 11*g - 36. Calculate the lowest common multiple of t(k) and s.
24
Let t = -41 - -633/14. Find the common denominator of -117/140 and t.
140
Let f = 20953/1860 - -13/372. Find the common denominator of f and (-1)/2 + (-178)/16.
40
Let j be (-42)/(3/21*362). Let t = -13531/3620 + j. Find the common denominator of -121/18 and t.
180
Let k = -7693 - -5414. Let a = -7810486/9 - -865555. Let f = a - k. Calculate the common denominator of -99/8 and f.
72
Suppose -3*a + 7160 = a. Let n = -27950 + 307427/11. Find the common denominator of (-6)/27 - a/(-36) and n.
22
Let j(z) = -55*z**3 - z**2 + 4*z + 4. Calculate the lowest common multiple of j(-1) and 243.
486
Let j be ((-2)/5)/((-2)/10). Suppose 3 + 9 = w. Suppose -10 - w = -j*r. What is the smallest common multiple of 9 and r?
99
What is the lowest common multiple of 180 and 1793/33 - 3/9?
540
Let u(o) = o**2 + 3*o + 1. Let w be u(-2). What is the common denominator of 21/5 and -4 - (w/1 + 11/(-9))?
45
Let o(v) be the first derivative of 3*v**2/2 - 40*v - 4. What is the smallest common multiple of o(15) and 9?
45
Suppose 0 = -3*q + 57 - 21. Calculate the lowest common multiple of q and 466.
2796
Suppose -h - s = -2, h = -h + s + 4. Let q(n) = -10 - n**h + n - 2*n + 10*n. Calculate the least common multiple of 11 and q(7).
44
Suppose 2*v = -h + 30, -15 = 4*h - 3*v - 80. Suppose 91 = 12*b + 43. Calculate the lowest common multiple of h and b.
20
Suppose -x + 5 + 6 = 4*h, 2*x = 2*h + 2. Let j(i) = 2*i**3 - i**2 - i - 2. What is the least common multiple of j(h) and 4?
8
Calculate the least common multiple of 100 - 6/60*10 and 75.
2475
Let u(t) = 5*t**3 + 36*t**2 + 12*t - 19. Let f(p) = -p**3 - 9*p**2 - 3*p + 5. Let b(c) = -9*f(c) - 2*u(c). What is the lowest common multiple of 4 and b(9)?
20
Let k = 952 - 19904/21. Calculate the common denominator of -49/33 and k.
231
Suppose -3*y = 2*z - 18, 4*y + 3*z - 8*z = 24. What is the least common multiple of y and 6?
6
Let k(r) be the first derivative of -r**3/3 - 5*r**2/2 - 3*r + 4. Let g be k(-5). Find the common denominator of -2 - (99/48 + g) and 19/14.
112
Let z = 152 + -204. Find the common denominator of (2/(-4))/(4/71) and 4 - 9 - 102/z.
104
What is the lowest common multiple of 0 + 16 - 30/(-5 + 11) and 66?
66
Let f(x) = x**3 - 3*x**2 + x - 1. Let c be f(5). Calculate the common denominator of (2/(c/(-69)))/(3 - 1) and -67/94.
846
Suppose 2*b - 1 - 17 = 0. Let h = b + 1. Calculate the least common multiple of h and 9.
90
Suppose 44*o = -2*m + 42*o + 2626, -5*m - 3*o = -6555. What is the least common multiple of 4 and m?
1308
Calculate the common denominator of -59/16 and -