0
Let t(o) = -12*o**2 - 3*o. Let h(f) = -6*f**2 - f. Let z(g) = -5*h(g) + 2*t(g). What is the least common multiple of 3 and z(-1)?
21
Calculate the common denominator of 2/(-19) - (-1328)/(-380) and (-84)/27 - (-1 - -1).
45
Suppose 0 = 4*a + 3632 + 1796. Let f = a + 35297/26. What is the common denominator of 43/20 and f?
260
Let r(h) = h**3 - 4*h**2 - 2*h - 2. Let c be r(-4). What is the least common multiple of 1 and c/(-14) - (-2)/7?
9
Let x = -44787/3812 + -1/953. What is the common denominator of x and -76/3?
12
Calculate the smallest common multiple of 8 and 3/(3 - 6/4).
8
Suppose 0*s - s = 5*f - 26, 2*s = 3*f - 13. Let k(p) = 2*p + 8. Let g be k(-8). Calculate the least common multiple of (s + -5)*22/g and 10.
110
Let b = -1547/4 + 399. Let m = -5 + -1237. Let w = 19881/16 + m. What is the common denominator of b and w?
16
Let g = 108461/10 - 10855. Calculate the common denominator of g and 47/4.
20
Calculate the common denominator of -55/16 and 3 - (0 - 57/(-36)).
48
Let m(d) = -d**3 + 11*d**2 + 11*d - 2. Let o be m(12). Let h = o + 18. Calculate the lowest common multiple of -2*1*(-7)/2 and h.
28
Let j = -2232574133/1162921070 - 4/1151407. Let m = -2/101 - j. Find the common denominator of -14*(0 - (-2)/(-8)) and m.
10
Suppose -37 = -3*i - i + r, -3 = -r. Let c(j) = 5*j - 1. Let h be c(-1). Calculate the smallest common multiple of i and -14*1*h/7.
60
Let z(x) = 2*x**2 - 3*x - 2. Let n be z(-2). Suppose n + 24 = 4*j. Let o(d) = -d**3 + 7*d**2 - 4*d - 7. Calculate the lowest common multiple of o(6) and j.
45
Let n(c) = -c**2 - 4*c + 2. Let w be n(-5). Let l(h) = -h - 3. Let r be l(w). Let m = r - -1. Calculate the lowest common multiple of m and 6.
6
Suppose 3*q + 33 = -51. Let p = 25 + -71. Let r = q - p. Calculate the lowest common multiple of 20 and r.
180
Let u(g) = -g**3 + 8*g**2 + 8*g + 12. Let n be u(9). Calculate the smallest common multiple of ((-3)/(-9) + 0)*n and 3.
3
Suppose 2*z = -0*j + 4*j + 48, 4 = -j. Let u(m) = 6*m + m - 3*m + m**2 + 0*m**2 - 8. Calculate the lowest common multiple of z and u(-6).
16
Suppose h + 4*h - 1030 = 0. What is the common denominator of 139/12 and 9/(-24)*h/9?
12
Let n(b) = b**3 - 6*b**2 - 12. Let l be n(6). Calculate the least common multiple of 2 and -3 + -1 - (l + 3).
10
Let y be (-2)/5 - 747/(-1855). Let m = -3319/7420 - y. Find the common denominator of m and -25/18.
180
Let d = -9305 + 297735/32. Find the common denominator of -97/16 and d.
32
Suppose i - 2*i + 7 = 0. Let u(f) = -f**3 + 4*f**2 + 4*f + 4. Let p be u(5). Calculate the smallest common multiple of i and (3/(-9))/(p/9).
21
Let r = -3 + 3. Suppose -2*j + r = 2. Let u(y) = -16*y. What is the least common multiple of u(j) and 22?
176
Suppose 3*g = 4*o - 305, -2*g + 145 = 2*o - g. Calculate the lowest common multiple of o and 10.
370
Let z = -38315133/20 + 1915012. Let p = z - -2959/4. Calculate the common denominator of p and -67/22.
110
Suppose 2*w + 129 + 81 = 0. Let t be (348/65)/((-6)/w). Let j = t + -21833/234. Find the common denominator of 93/10 and j.
90
Let u be 16/40 + 26/10. What is the least common multiple of 13 - (u + -3 + 2) and 4?
44
Suppose 0 = -3*p - p - 20, 5*p = -5*c + 50. What is the common denominator of 29/16 and 6/c - 214/60?
48
Let i = -78/131 - 10667/786. What is the common denominator of i and 83/28?
84
Let k = -2 + 20. Let y = 9 - -9. Calculate the smallest common multiple of k and y.
18
What is the lowest common multiple of (-12)/24*1*4 + 16 and 98?
98
Suppose 0*a = 2*a - 4. Suppose 4*w - 11 - 25 = 0. Calculate the smallest common multiple of a and w.
18
Suppose -27 = -3*o - 9. Let p(w) = -2*w + 3. Calculate the least common multiple of p(-3) and o.
18
Let y(t) = -t**3 - 3*t**2 + 4*t + 4. Suppose -3*z - 7 = -2*i, 3*i + 33 = i - 5*z. Calculate the smallest common multiple of y(i) and 10.
20
Let f(n) = 9*n**2 - 6*n - 4. Let m be f(-9). Let c be ((-1)/15)/((-2)/23403). Let j = c - m. Calculate the common denominator of j and -99/2.
10
Let l(n) = -19*n + 1. Let u(g) = 2*g**2 + 11*g - 18. Calculate the smallest common multiple of u(2) and l(-1).
60
Let j be ((-38)/4)/((-28)/4952). Let g = j + -1674. Calculate the common denominator of g and -13/8.
56
Suppose 5 = 2*o - 3. What is the lowest common multiple of 16 and o?
16
Let r(g) = g - 5. Let u be r(5). Let o(j) = j**2 + 8*j - 17*j + 10*j + 7. What is the lowest common multiple of 1 and o(u)?
7
Let x = -4826 - -28871/6. Find the common denominator of x and 40/7.
42
Suppose 2*j - 4*h = -74, 3*j - j + 72 = 2*h. Let p = -24 - j. Calculate the smallest common multiple of p and (1/4 + -1)*-12.
99
Let q = -16 - -17. What is the smallest common multiple of -7*(3/21 - q) and 18?
18
Suppose -7*m + 2*m + 4*k + 10 = 0, 2*m - 3*k - 4 = 0. Let v(n) = 3*n + 2. Let l be v(m). What is the common denominator of (195/18)/(l/(-6)) and 41/16?
16
Let t = -385988129/40 + 9649156. Let p = t - -2788/5. What is the common denominator of -33/10 and p?
40
Calculate the common denominator of ((-109)/18)/((4/3)/(-4)) and -13/2.
6
Let z = 18 + -12. What is the common denominator of (-2)/z + 161/6 and (-1071)/102*(-2)/(-36)?
12
Suppose -2*x = -4*x + 6. Let k = -9 - -12. Suppose 0 = x*m - 5*s - 10 - 42, -k*s - 76 = -5*m. What is the lowest common multiple of 4 and m?
28
Suppose 5*k - 7 = -o + 10, 3*k - 2*o = 18. Calculate the least common multiple of k and 10.
20
Calculate the least common multiple of (-2 + 6)*18/4 and 6.
18
Suppose -c - 191 = -4*d - 4*c, -d - 2*c = -54. Calculate the common denominator of d and -53/15.
15
Suppose -2*u - 12 = -2*n + 50, n + 3*u = 19. What is the least common multiple of n and 2?
28
Let v(b) = 2*b**2 - 5*b + 3. Let d be v(3). What is the common denominator of 93/16 and -3 + d*61/52?
208
Let m(x) = 3*x + 4. Suppose 18 = 3*s - 18. Calculate the lowest common multiple of m(4) and s.
48
Let y = 1614 - 9709/6. Let x = y - 19/3. What is the common denominator of -32/5 and x?
10
Let f = 24397642 - 487671451/20. Let d(j) = -j + 14066. Let s be d(0). Let v = s - f. What is the common denominator of v and 111/20?
20
Let g = -598/61 + 16047/1220. What is the common denominator of 46/3 and g?
60
Suppose -6 = 2*t - 22. What is the lowest common multiple of 8 and t?
8
Let d(v) = v**2 - v + 8. Suppose -5*m + 2*h = -1, 4*h + 2 = -m + 11. What is the least common multiple of d(0) and m?
8
Let g(y) = -y**2 - y + 8. Let d = 7 + -7. Calculate the smallest common multiple of g(d) and 18.
72
Let b = -6 - -3. Calculate the least common multiple of 10*(12/(-5))/b and 9.
72
Suppose -j = 2*j - 39. What is the lowest common multiple of 9 and j?
117
Suppose 4*o = 28 - 8. Suppose 0 = 5*x + o*m - 35, 2 - 11 = -3*x + 3*m. What is the smallest common multiple of x and 6?
30
Let n = 278746/33 + -8446. Find the common denominator of -97/24 and n.
264
Find the common denominator of -33/10 and (4218/84 - 6) + 4/14.
10
Let x(o) = 3*o**2 - o + 2. Let f be x(1). Suppose -5*t = -6 - f. What is the least common multiple of t and 4?
4
Let f = -183161/15390 + 2/1539. Calculate the common denominator of f and 522/60 - 4/30*-1.
30
Suppose 1 = 2*w - 11. Calculate the lowest common multiple of 32 and w.
96
Let t = 6856 + 21320. Let d be (-366266)/t + 3/9. Let y = -24/587 - d. Find the common denominator of y and 22/9.
72
Let q = -512146 - -303190339/592. Let h = 52/37 - q. What is the common denominator of h and -53/6?
48
Let y = -2 - -11. Suppose -i - 2*v = -2, 4*v - 2 = -i + 2. Suppose 5*a + 19 - 4 = i, 2*s = -3*a + y. What is the least common multiple of 9 and s?
9
Let d(f) = -f**2 - 18*f + 4. What is the smallest common multiple of d(-18) and 9?
36
Let g = 73 + -63. Let t(v) = v**2 + 6*v + 6. What is the smallest common multiple of g and t(-6)?
30
Let g(z) = 3*z**3 - 6*z**2 + 5*z - 1. Calculate the least common multiple of g(2) and 2/8 - (-70)/8.
9
Suppose s + 18 = 5*w - 1, -w + 4*s = 0. Let r(y) = 5*y - 3. Calculate the lowest common multiple of w and r(5).
44
Suppose -3*m + 124 = n, -3*m + 3*n + 126 = 6*n. Let r = 61 - m. Calculate the least common multiple of 8 and r.
40
Suppose -4*i - 1 = -3*w + 13, -25 = -5*w + 5*i. Let n = -11 - 13. What is the common denominator of (82/(-10))/((-4)/w) and n?
10
Suppose 19*z = 15*z + 96. Calculate the lowest common multiple of z and 6.
24
Suppose 0 = 5