and t - (-1 + -1)/2?
90
Suppose m = -m + 78. Find the common denominator of 6/3*m/24 and -24/11.
44
Let k(c) = c**3 + 6*c**2 + 4*c - 2. Let j = 20 - 10. Calculate the least common multiple of k(-4) and j.
70
Let u(q) = -q**2 + 6*q - 3. Let b be u(5). Suppose 0 - 8 = -b*l. Find the common denominator of 3/4 and 6/l*(-88)/6.
4
Let y(q) = 8*q**3 - q**2 + q. Let a(t) = t**3 + 16*t**2 + 14*t + 1. What is the lowest common multiple of a(-15) and y(1)?
16
Suppose 0 = -4*l - 5*j + 61, -2*l - 2*l - j + 57 = 0. What is the least common multiple of 12 and l?
84
Suppose 0 = 4*y + f - 4, -2*y + 2 = 2*f + f. Suppose -5*a + 10 = 0, -5 = 2*b + 3*a + y. Calculate the common denominator of b/(-15) + 903/(-120) and 27/14.
56
Calculate the common denominator of (-60)/(-54)*(-30)/8 and (-194)/(-28) - (-2)/(-4).
42
Let p = -123281/16260 + -2/1355. Let u = 8/1079 - 160819/6474. Calculate the common denominator of p and u.
12
What is the common denominator of 4/11 and (-84)/(-40)*2 - -4?
55
Let f = -8 + 5. What is the smallest common multiple of 8 and (66/18)/((-1)/f)?
88
Let p(v) = -4*v - 1. Suppose 4*k = -3 - 1. Let h be p(k). Find the common denominator of (-10)/h + -1 - 2 and -35/8.
24
Let t be 1/((-15)/(-9) - 2). Let x be (-2)/2 - t*2. Suppose -3*g + 20 = -2*k + 4*k, -x*g = 5*k - 45. What is the least common multiple of k and 4?
28
Let x be (-251582)/114380 - 8/(-20). Let b = -195/301 + x. Calculate the common denominator of -15/16 and b.
304
Suppose -4*b = 20 - 4, -4*b = u + 5913. Let h = 106091/18 + u. Find the common denominator of h and -83/18.
18
Let j(f) = -f + 9. Let x be j(0). Let z(w) = 3*w**3 - w**2. Let a be z(1). Suppose -a*t + 31 = -x. What is the least common multiple of 16 and t?
80
Suppose 14 = t + r, 0 = 4*t + 5*r - 0*r - 56. Calculate the lowest common multiple of t and 4.
28
Let d(i) be the third derivative of -i**4/24 - 2*i**3/3 + i**2. Let c = -26 - -32. Calculate the lowest common multiple of c and d(-5).
6
Let d = 1657 - 14939/9. Calculate the common denominator of 58/3 and d.
9
Calculate the smallest common multiple of 12*((3 - 0) + (-30)/18) and 20.
80
Suppose -o + 15 - 12 = j, 3*o + 5*j = 7. Let p(z) = -6*z + 2. Calculate the smallest common multiple of o and p(-2).
28
Let g = -2 - -12. Let w = g - 2. Let z = w + 59/6. What is the common denominator of 23/8 and z?
24
Calculate the common denominator of 0 + 10/(-12) + 1 and 41/8.
24
What is the common denominator of (-3348)/420 + (-4)/(-10) and ((-24)/10)/((-42)/75)?
7
Suppose 0 = 7*v - 32 - 10. Calculate the smallest common multiple of v and 1.
6
Let a(k) = -k**3 - 6*k**2 - 6*k - 7. Let r be a(-5). What is the common denominator of -65/4 and ((-21)/48 - r) + 0?
16
Let z be (-1)/3 - (-718)/18. Let v = z - 253/6. Calculate the common denominator of 182/(-16) + 1/(-2) and v.
72
Find the common denominator of 26/(-39) - 37/(-3) and 39/8.
24
Let a = -17 + 31. Suppose 2*d - a + 4 = 0. Suppose 11 - 35 = -3*l. Calculate the smallest common multiple of d and l.
40
What is the common denominator of 234/105 + 8/(-10) and -56/3?
21
Let a(h) = -3 + 0*h + h + 2. Let t be a(5). Suppose 3*q + 3*s = 7*q - 29, -28 = -3*q - t*s. What is the lowest common multiple of 10 and q?
40
Find the common denominator of -3 + (-2 - (-202)/16) and ((-178)/8)/(-8 + 4).
16
What is the common denominator of (-91)/36 - (3 + (-13)/4) and 5/7*14/(-12)?
18
Let l = 135703/25326 - 2/1809. Find the common denominator of l and -9/5.
70
Calculate the lowest common multiple of (1 - 0) + (-18)/(-9) and 4.
12
Let m = -6813/365 - 1/1095. Let q be -4146 + 4*(-4 - -5). Let y = -37324/9 - q. What is the common denominator of y and m?
9
Suppose 4*f - f = 5*t - 1, 2*f - 3*t = 0. Let v(s) = s**2 - 2*s + 3. Let u be v(f). What is the common denominator of 2/u + 62/4 and 37/22?
66
Let b = 20399 + -10410. Let v = -4568 - b. Let q = 233001/16 + v. Find the common denominator of -35/18 and q.
144
Let y = 52/5 - 397/30. Let n = -6 - -4. Calculate the common denominator of y and 214/8*n/10.
60
Let z = 127 - 41. Suppose -14 = 4*w - c - z, 0 = -w + c + 18. Suppose 0 = r + r - 24. Calculate the least common multiple of w and r.
36
Let k = 362 - 17739/49. Let p = -201/98 + k. Find the common denominator of 131/12 and p.
84
What is the common denominator of 3/72*69/(-4) and -1/12?
96
Let q = 8 + 12. What is the least common multiple of q and 2?
20
Suppose 0 = 5*s + 5, 5*s + 53 = 2*j + j. What is the lowest common multiple of (-26)/(-117) - (-68)/18 and j?
16
Let x(k) = -9*k + 4. Let t be x(-3). Suppose -5*o + 65 = 3*b + 2*b, -4*b = -3*o - t. Calculate the smallest common multiple of 348/42 - (-4)/(-14) and b.
40
Suppose 0 = b - z - 2, -z + 9 = 3*b - 5. Suppose -b*g - 2 = -70. What is the lowest common multiple of g and 4?
68
Let u(k) = 3*k**3 - 5*k**2 - 4*k**3 - k - 2*k. Let s be u(-4). Find the common denominator of 43 and s/(-6)*114/(-28).
7
Let f(h) = -h - 8. Let g be f(0). What is the common denominator of (29/5)/(g/(-10)) and 76/11 - 3 - 3?
44
Let g = -45 + 72. What is the smallest common multiple of g and 6?
54
Let b(o) = -o**3 - 9*o**2 - 15*o - 4. What is the smallest common multiple of 36 and b(-7)?
36
Let m = -6 - -6. Suppose 4*a + m*a = 0. Let x = a + 6. What is the least common multiple of 10 and x?
30
Let n(h) = -h**2 + 5*h + 1. Let r be n(5). Suppose 4*u + r + 23 = 0. Calculate the common denominator of u/(-27) + 937/(-126) and -67/10.
70
Let d = -10 - -16. What is the smallest common multiple of 6 and d?
6
Suppose i - 36 = -i. Calculate the lowest common multiple of i and 16.
144
Suppose -5*l + 10 + 0 = 0. What is the smallest common multiple of 20 and l?
20
Suppose -3*c + a + 33 = 0, 2*c - 5*c + 5*a = -45. Let r be c/(-3)*(-3)/2. Suppose -22 = 4*y - r*y. What is the least common multiple of 22 and y?
22
Suppose 0 = 5*u - 20, -4*b + 195 = -4*u - 117. Let z = -159 + b. Find the common denominator of z/10 + (-6)/(-10) and 53/5.
10
Let i(f) = -4*f**3 - 2*f**2 - 2*f - 1. Let n be i(-1). Calculate the lowest common multiple of (-22)/(-12)*n*2 and 7.
77
Suppose -2*f + 10 = 6. Let b(z) = z**3 - z**2 + 4. What is the lowest common multiple of f and b(0)?
4
Let p = -1643/42 - -94/3. Let w(t) = 163*t**3 + 1. Let y be w(-1). Let r = y + 607/4. What is the common denominator of r and p?
28
Let l(v) = -v**3 + v**2 + 2*v - 1. Let i(y) = y**2 - 7*y - 6. Let f be i(8). Let r be l(f). Calculate the smallest common multiple of -1*(r + 2)*-11 and 1.
11
Let i = -51/103 - 58711/206. Let l = i - -258. What is the common denominator of -11/2 and l?
2
Let r = 26 + -9. Let l = 11 - r. Calculate the common denominator of -113/6 and ((-166)/(-6))/(20/l).
30
Let q(s) = 34*s + 4. Let b be q(-4). Let c = -1432/9 - -15347/99. Find the common denominator of c and 0 + -1 - b/40.
110
Let f(w) = -w**2 + 9*w - 11. Let q(l) = l**3 + 4*l**2 - 5*l + 7. Calculate the least common multiple of q(-5) and f(6).
7
Let f(w) = w**2 - w - 2. What is the lowest common multiple of 28/10 + -3 - 91/(-5) and f(3)?
36
Suppose 20 = x + 3*x. Suppose 2*b - 7 + 19 = 0. What is the common denominator of x and (-9)/b*242/(-30)?
10
What is the common denominator of 63/22 and (-4)/6*-10*64/60?
198
Suppose 7 = 2*k - 7. What is the smallest common multiple of k and 4?
28
Let c = -144019/22 - -6543. Let r = -43777/10 + 4382. What is the common denominator of r and c?
110
Let m be 2/(-4) + 34927/10802. Let n = -3/491 + m. What is the common denominator of n and 3/(-60)*(-3)/(-6)*-55?
88
Let v = -116 + 121. Calculate the least common multiple of 3 and v.
15
Let m be ((-1163)/3)/((-10)/18). Let z = m + -701. Calculate the common denominator of 39 and z.
5
Let n = -504 - -4023/8. Calculate the common denominator of n and 75/34.
136
Suppose -2*x + 3*x = 9. Let h(z) be the first derivative of -z**2/2 + 2*z - 2. Calculate the least common multiple of x and h(-5).
63
Let w = 527/12 + -2771/66. What is the common denominator of 25/28 and w?
308
Let j = 5 + 8. Let a = -9 + j. What is the smallest common multiple of a and 6/(-15) - 14/(-10)?
4
Suppose 0*f - 5*f = -45. Let m(h) be the second derivative of -h**4/12 + 5*h**3/6 - 3*h**2/2 - h. What is the lowest common multiple of f and m(2)?
9
Let s be 2/(-6)*-3*-17. Let n = -8 - s. What is the common denominator of -71/22 and n/14*(-28)/(-32)?
176
Let v be 31