the common denominator of -131/30 and (-141)/558 - (-13)/26.
930
Let h = -3 + 2. Let d(p) = -4*p**2 - 7. Let j(y) = -y**2 + 1. Let r(q) = -d(q) - 6*j(q). What is the least common multiple of 4 and r(h)?
44
Let d(r) = 27*r**2 - r. Let h be d(-1). Suppose 3*q = 7*q + 5*t - 1, 4*q + 5 = t. Find the common denominator of ((-4)/h)/(q/(-11)) and 63/2.
14
Calculate the common denominator of ((-4)/(40/(-55)))/(-1) and -23/17.
34
Suppose 0 = -r - 1 + 7. Let s = 10 - r. Suppose -3*l - 2*o - 8 + 21 = 0, 3*o = -4*l + 17. Calculate the least common multiple of l and s.
20
Let k(i) = -i + 2*i - 3*i. Calculate the smallest common multiple of 7 and k(-1).
14
Let h be (-340)/35 + 4/(-14). Calculate the common denominator of 31/22 and ((-26)/h)/((-4)/5).
44
Suppose v = -3*t + 19, t + 30 = 3*t + 5*v. Suppose -5*w + t + 5 = 0. What is the least common multiple of 5 and w?
10
What is the smallest common multiple of 14 and 3/(-18)*-4*21?
14
Let u = -2 - -5. Let t(w) = 1 + 4*w**2 - 5 + 9*w - u*w**2 - 2*w**2. Calculate the least common multiple of t(8) and 3.
12
Let i be ((-66)/(-1263))/((-2)/3). Let t = -34827/9262 - i. Calculate the common denominator of t and -65/4.
44
Let g = 68 + -44. What is the least common multiple of 27 and g?
216
Suppose -4 = c + c. Calculate the least common multiple of 2 and ((-5)/c)/((-4)/(-32)).
20
Let a be (9/276)/((-11)/(-72)). Let z = 16678/2277 - a. Calculate the common denominator of z and 25.
9
Let i = 176 + -148. Calculate the smallest common multiple of i and 12.
84
Let o = 12 - 9. Suppose 3*d = -o*k + 18, 3*d + d - 20 = -5*k. What is the least common multiple of d and 8?
40
Suppose -49 = -2*g + 11. Calculate the smallest common multiple of g and 5.
30
Let h = 12 - 7. Let s = 38/25 - 751/50. Calculate the common denominator of (-76)/22*h/4 and s.
22
Let r = 10 + 0. Suppose r = 4*z + q, -4*q - 4 = 4. Suppose -2*u = -5*j - 7*u + 5, -15 = -z*j + u. What is the smallest common multiple of j and 2?
4
Suppose 3*f = 2*f + 4*d + 6, 0 = -5*f - 2*d + 30. What is the smallest common multiple of f and (4 + -1)/(2/6)?
18
Suppose f = -f. Suppose f = -j - 0*j + 648. Let l = j - 7685/12. Calculate the common denominator of 7/12 and l.
12
Suppose 0 = -0*o - 3*o - 6. Find the common denominator of o/8*23/(-4) and -41/2.
16
Let h(m) = -2*m**2 + 2*m - 2. Let n be h(2). Let y be 3/2 + n/(-4). Suppose 6 + y = 3*t. Calculate the lowest common multiple of t and 4.
12
What is the common denominator of ((-5)/(-35) - -1) + 2/1 and 52/5?
35
Calculate the common denominator of ((-3)/((-9)/61))/(40/(-24)) and -9/109.
545
Suppose 3*l - 108 = -5*y, 3*y - 4*l = 2*y + 17. Calculate the least common multiple of 9 and y.
63
Let t(j) = j**2 + 6*j + 4. Calculate the least common multiple of 6 and t(-8).
60
Suppose -3*y + 5*u + 3 = 0, -4*u + 21 = y + u. What is the lowest common multiple of y and 1?
6
Suppose -3*j - 220 = -5*j. What is the common denominator of -51/2 and (82/j)/((-10)/(-25))?
22
Let h be (4 + -5)/((-1)/(-1)). Find the common denominator of 33/4 and (-45)/(-25)*h/2.
20
Suppose 2 = x - 20. What is the least common multiple of x and 7 - (1 - (-2 - -10))?
154
Let x be 6/6*(-1 - -1). Suppose -p + x*p = -8. Find the common denominator of -13/6 and 0/(-5) - (-78)/p.
12
Let o = 22 + -12. Let h = -14 - -16. Calculate the lowest common multiple of o and h.
10
Suppose 2*b + 2*l - 38 = 18, -3*b = -4*l - 49. Let r = b + -13. Calculate the least common multiple of 14 and r.
70
Suppose -4*g + d + 13 = -0*d, 5*g = -2*d + 13. Suppose 0 = -f - f + 28. Calculate the least common multiple of (1 + (g - 2))*7 and f.
14
Let u(y) = -y + 1. Let i(w) = 6*w - 9. Let v(x) = -5*i(x) - 35*u(x). Let l be v(8). Find the common denominator of -103/10 and (4/(-15))/2*l.
30
Let n be 0/(-3) - (-2 - -1). Let m = 1 - n. Suppose j = -5*b + 15, m*b - 5*j + 27 = b. Calculate the least common multiple of 9 and b.
18
Find the common denominator of (-2)/42*118 - (-4)/14 and -121/18.
18
Let s be 4/(-10) - (-142574)/10. Let w = 4205819/295 - s. Let t = 26829/1180 + w. Find the common denominator of t and -37/4.
4
Suppose 2*v = -0*v - 12. Let h = v + 13. Suppose 0*z - 8 = -2*z. Calculate the lowest common multiple of h and z.
28
Let s = 4739/20 - 1231/5. What is the common denominator of s and 151/6?
12
Let b(a) = -11*a**3 + 2*a**2 + 2*a + 1. Calculate the lowest common multiple of b(-1) and 6.
12
Let x = 3 - 8. Let u = x - -7. Suppose -u*c = -6*c + 24. What is the least common multiple of 1 and c?
6
Calculate the smallest common multiple of 9 and (-8)/(-10)*(2 - -3).
36
Let p(d) = d**3 - 7*d**2 + d - 2. Calculate the least common multiple of 7 and p(7).
35
Suppose 5*p = -2 + 32. Let f = 87 + -69. Calculate the smallest common multiple of p and f.
18
Find the common denominator of 22/(-4)*22/18 and -53/20.
180
Suppose 5*t + a = 35, a + 21 = t + 4*a. Let c be 2/12 + 140/24. Suppose t + c = 2*l. Calculate the lowest common multiple of 3 and l.
6
Find the common denominator of 3/(-6) + (474/8)/(-3) and -115/28.
28
Suppose -5*g + 3*g + 6 = 0. Let b = 13 - 2. What is the least common multiple of g and b?
33
Let n = 1 + -5. Calculate the common denominator of 101/22 and n*(-332)/32*1.
22
Let u(q) = 2*q**2 - 4*q + 6. Let y = 5 - -27. Calculate the lowest common multiple of y and u(4).
352
Let q(z) be the first derivative of -z**4/4 - 2*z**3 - 5*z**2/2 - 2*z + 4. Let n be q(-5). Find the common denominator of (-282)/18*n/6 and -21/5.
45
Let p be (-14)/(-6) - (-4)/6. Suppose 5*u - p = 32. Suppose -3*z = -5*q - 74, -2*q = -z + u + 19. What is the lowest common multiple of z and 2?
18
Let w be (-2)/(-4) + (-2)/4. Let g = -2 - w. Calculate the common denominator of -31/4 and g/(-4) - 54/20.
20
Let l(c) = -c**2 + 11*c + 2. Suppose -4*v = 2*v - 60. Suppose 0 = 3*j + x - 32, -4*x + 54 = 5*j - 2*x. What is the least common multiple of l(v) and j?
60
Suppose 3*u - 85 = -5*x, -3*u = -5*x - 7*u + 80. Calculate the smallest common multiple of 14 and x.
140
Let t(y) = -4*y + 1. Let i be t(1). Find the common denominator of (1/(-3))/((-22)/i) and -1*1*(-236)/48.
132
Let d(f) = -f**3 - 2*f**2 + 5. Let m(x) = 5*x**3 + 11*x**2 - 24. Let j(u) = 11*d(u) + 2*m(u). Calculate the lowest common multiple of j(0) and 6.
42
Let y be (1 - 4)*(-213)/(-9). Let a = y + 297/5. Let h = 7 + -23. Find the common denominator of a and h.
5
Suppose 0 = 3*z - 2*z - 42. What is the common denominator of (-269)/z + 4/(-6) and 31/10?
70
Let x = -19 - 20. Let g(p) = -3*p + 2. What is the lowest common multiple of 1/2 - x/2 and g(-6)?
20
Let w be 1494241/(-326004) - (3 - 0). Let d = w + 2/11643. Find the common denominator of d and -107/22.
132
Let j = -229519149/10 + 23568289. Let s = j + -617094. Let g = -722 - s. Calculate the common denominator of g and 113/20.
20
Suppose 5*z - 4*x = 56, z - x - 5 = 6. Calculate the lowest common multiple of 10 and z.
60
Let t = -13 + 7. Calculate the common denominator of -115/6 and (-3)/t + 102/16.
24
Suppose 3*w = 4*x - 2*w - 16, -16 = -4*x + w. Suppose 2*l = -l + 42. Calculate the smallest common multiple of l and x.
28
Let q be 8/5 + 9/(-15). Let d be (-299)/4 - q/(-4). Let z = -519/7 - d. What is the common denominator of -81/4 and z?
28
Let g = -881/4 - -222. What is the common denominator of 49/9 and g?
36
Find the common denominator of 3 - (-4)/(16/(-10)) and 71/8 - (2 + -3).
8
Let h = 4 + -1. Suppose -2*g = h*g + 10. What is the common denominator of (-63 - g)/(-3 - 1) and 63/10?
20
Let m = -8 - -4. Find the common denominator of (-5)/(-12) - 6/m and 63/4.
12
Let n = -2 + 6. Let s(o) = 8*o + 40. Calculate the smallest common multiple of n and s(-4).
8
Suppose -f = 3*v - 20, 0 = -5*f - 4*v + 49 + 29. Calculate the lowest common multiple of f and 4.
28
Let d = -25 - -10. Find the common denominator of 690/(-16)*(-6)/d and -103/12.
12
Let s = 3714 + -37107/10. Let q be 3*(4 - (-6)/(-2)). Suppose q*h = -12, 2*h + 118 = -2*u - 3*h. Find the common denominator of s and u.
10
Let o be ((-6)/(-8))/((-6)/(-16)). What is the common denominator of 75/8 and (-57)/(-10) - o - -3?
40
Let u be 1 + 3 + -3*1. Let l = u + 13. Let t(j) = j**2 - 2. What is the lowest common multiple of l and t(-2)?
14
Let l(u) = -u + 11. Calculate the least common multiple of 4 and l(5).
12
Suppose 16184 = -3*f - d, -5*f - d = 3*d