d - 1. Calculate the least common multiple of r and v(5).
18
Let u(t) = -t**3 - 4*t**2 - 4*t. Suppose y - 12 = 5*y. Let c be u(y). Find the common denominator of 91/6 and ((-58)/(-18))/(1/c).
6
Let n(b) = -b**3 - 5*b**2 + 16*b + 15. Let m be n(-12). Let i be (-1479)/15*m/(-12). Let d = 6824 - i. Calculate the common denominator of d and -41/4.
20
Suppose -5*w + 28 = -v, 30 = -3*w + 6*w - 5*v. What is the common denominator of 34/7 and -19 + 0 + w/(-5)?
7
Suppose -2*c + 24 = 4. Suppose -3*l - 2 + 11 = 0. Suppose o = -l*o + 4. Calculate the smallest common multiple of c and o.
10
Let b(h) = -h**3 + 2*h**2 + 2*h + 4. Let z be b(4). Let v = 41 - 5. Let y = v + z. What is the lowest common multiple of y and 22?
176
Suppose l = -4*q + 38 - 15, l - 8 = -q. Suppose -q*h = 3*z + 10, -2*h - 40 = -5*z + h. What is the least common multiple of 8/(-10)*z/(-2) and 6?
6
Let q = 1574 - 34615/22. Calculate the common denominator of q and -61/18.
198
Let n = -9 - -21. What is the common denominator of 25/6 and 119/n + 8/(-12)?
12
Let g(a) = a + 9. Let m be g(-8). Let b = 1 - 1. Suppose -3*f + m + 26 = b. What is the least common multiple of f and 5?
45
Suppose -4*x = -5*b + 9*b, 4*b - 8 = -2*x. Suppose b*q - 50 = -q. What is the lowest common multiple of q and 2?
10
What is the common denominator of (-1)/20*218 + 5 and 107/10?
10
Let o(i) = -i**2 - 9*i - 10. Calculate the least common multiple of o(-5) and 4.
20
Suppose -2*a + 9 = -3*a. Let u = a + 21. Calculate the lowest common multiple of u and 22.
132
Suppose g + 3*k = 9, 0 = -5*g - 6*k + 2*k + 78. What is the least common multiple of 16 and g?
144
Let v = -2311 + 13907/6. Let r be -3 + 1/((-2)/(-44)). Find the common denominator of v and 2/3 + r/6.
6
Let x(z) = -z**2 - 9*z + 5. Let p be x(-9). Let f = 3 - p. What is the lowest common multiple of 1/f*(2 + -4) and 11?
11
Let y = 554 - 3227/6. Calculate the common denominator of y and -31/2.
6
Let i = 197983/16 + -12380. Calculate the common denominator of (-25)/16 - 0/3 and i.
16
Suppose 4*b + 0*r + 2*r = 4, -b + 1 = -2*r. What is the lowest common multiple of b and 1 + (2 - (0 + 1))?
2
Suppose -5*v + 68 = -4*c - 0*c, 5*c = v - 22. Calculate the least common multiple of v and 15.
60
Suppose -5*v = -3*o - 0*v + 28, 22 = -3*o - 5*v. Suppose -4*z + 24 = -2*z. Let h = z - 2. Calculate the smallest common multiple of h and o.
10
Suppose -6*s + 43 = 19. Calculate the lowest common multiple of s and 2.
4
Suppose -2 = -2*q + 6. Let u = -24 - -17. What is the lowest common multiple of q and u/((-7)/4) - 0?
4
Let s be ((-548)/(-3))/((-869)/12). Let h = s - 9/79. Let g = 334/13 + -2013/91. Calculate the common denominator of g and h.
77
Let y(u) = -3*u - 1 + 3*u + 0 + u. Calculate the least common multiple of y(4) and 3.
3
Suppose 0 = -b - 1 + 6. Suppose b*y = 3*y + 20. Calculate the lowest common multiple of y and 20.
20
Let u(x) = -x**2 - 30*x + 19. What is the smallest common multiple of u(-27) and 2?
100
Suppose d = 3*a + 14, 2*d + 2*a = 6*a + 22. Suppose 0*t + d*t = 90. Calculate the smallest common multiple of t and 22.
198
What is the lowest common multiple of -4 + 1 - (-7 + -5) and 4?
36
Let r(i) = i**2 - 6. What is the smallest common multiple of r(-3) and 9?
9
Calculate the common denominator of 109/(-66) - 4/6 and (444/(-20))/((-22)/(-5)).
22
Suppose s + 0*s = 3*g - 206, 3*g + 4*s = 226. Let i = 6 - 2. Suppose -w = i*w - g. Calculate the lowest common multiple of w and 18.
126
Suppose 4*d = -5*s - 6 - 34, 2*d - 2 = 3*s. Suppose -2*w + 14 = 4*p + 2, -p + w + 3 = 0. Calculate the common denominator of 22*((-14)/s - p) and -45/11.
11
Let r = -68023914927679008539/3222 + 21112325887913768. Let c = r - -284550228. Let l = c - -20/179. Find the common denominator of l and 103/22.
198
Let r = -203131/12 - -16938. Find the common denominator of -71/78 and r.
156
Suppose 3*p = 2*p + 18. What is the smallest common multiple of p and 14?
126
Suppose -3*y + 2*y = 4, -3*k + 42 = 3*y. Let j = 56 - 40. Calculate the smallest common multiple of k and j.
144
Suppose a + 5*b - 3*b = 11, -2*a + 6 = -4*b. Calculate the lowest common multiple of 11 and a.
77
Suppose 0 = -5*f + 233 + 387. Calculate the common denominator of -50/9 and (f/30)/(12/9).
90
Let a = 12893/10 + -1301. Find the common denominator of a and 14/11.
110
Let g(c) = -c - 2*c + c - c**3 - 7 - 4*c**2. Let t be g(-5). Suppose 45 = 5*l - 5*k, -t = 2*l + 5*k - 11. Calculate the smallest common multiple of l and 7.
28
Let f = -536937/46184 + 6/5773. Find the common denominator of f and (153/(-9))/((-24)/10).
24
Let k(v) = -2*v - 1. Let x(s) = -15*s. Let g be x(-1). Suppose 0 = i + 4*i - 2*j + g, 3*i + 2*j - 7 = 0. What is the lowest common multiple of k(i) and 11?
11
Suppose 2*m - 8 = -6. Calculate the smallest common multiple of m and 2.
2
Suppose -d - 3 = 0, 3*h = -4*d - 1 - 5. Let x(i) = -i**2 - 7*i - 1. What is the lowest common multiple of x(-5) and h?
18
Suppose 4*o + 7*h = 5*h + 18, 18 = -o + 4*h. Calculate the least common multiple of 9 and o.
18
Suppose k = 4*g - 20, 0*g + 2*g + 3*k + 4 = 0. Let v = 21 + -35. Calculate the common denominator of 76/9 and g/v - 377/(-21).
9
What is the common denominator of ((-7)/140)/(4/(-290)) and 579/(-90) - 4/6?
40
Calculate the common denominator of 9/20 and 4/(50 + -2)*-113.
60
Let q = -4 - -6. Let v = -24 + 34. Calculate the smallest common multiple of (-2)/(1/(-8)*q) and v.
40
Let o = 47 - 32. Let b be 45/10 - 1/(-2). Let s = o - b. What is the smallest common multiple of 8 and s?
40
Let r = 13 - 9. Calculate the lowest common multiple of 8 and r.
8
Let n(a) = -a**2 - 4*a + 4. Let s be n(-4). Suppose -4*k - h + s = 20, 4*h = 0. What is the least common multiple of 21 - (-2)/k*-2 and 18?
198
Let k = 1 + 0. Let y be 21/(-18) + k/6. Calculate the common denominator of 25/2 and (111*y/(-2))/(-12).
8
Suppose -35 = 4*u - 107. What is the lowest common multiple of u and 14?
126
What is the common denominator of -4*((-95)/25 + 3) and -6/11?
55
Let b be ((-111)/(-99))/(2824/11454). Let s = b + -3/1412. Calculate the common denominator of -9/5 and s.
55
Suppose -5*j - 16295 = 4*y, -3*y = -0*y. Let s = j - -29375/9. Calculate the common denominator of s and 19/11.
99
Let m(p) = 1428*p**3 + p**2 - p + 1. Let q be m(1). Suppose -q = -3*z + 2*t, 3*t - 364 = -4*z + 1530. Find the common denominator of -37/10 and 2/2*z/70.
70
What is the least common multiple of ((-27)/2)/(-9)*12 and 10?
90
Calculate the common denominator of -15/14 and (-121)/5*((-9)/(-4) - 2).
140
Find the common denominator of 3/3*-303*(-28)/336 and 2*27/4 - 0.
4
Suppose -5*r + 42 = -213. Let f = 31 - r. What is the smallest common multiple of (0 - f) + 0 + -2 and 16?
144
Suppose 6 = 5*d - 29. Suppose -5*y + 3 = -d. What is the least common multiple of y and 20?
20
Suppose -4*l + 4*n = -2*l - 12, 3*l = n - 7. Calculate the common denominator of 115/14 and ((-46)/l)/(20/4).
70
Let w = 21882 + -393751/18. Find the common denominator of w and -49/2.
18
Let u(r) = r**3 - 10*r**2 + 9*r + 8. Let j = -3 + 12. Calculate the least common multiple of 1 and u(j).
8
Suppose 5*l = -2*t - 186, 2*l = 2*t + 3*t - 57. Let n be (-1)/2 - l/8. Suppose n*a = 8, -1 = -i + 2*a - a. Calculate the smallest common multiple of i and 1.
3
Suppose 3*k = -6 - 3. What is the common denominator of 1180/96 + 2/k and -34/3?
24
Let o = 59 + -55. What is the smallest common multiple of o and 15?
60
Suppose -4*r - 56897 = 48687. Let c be (-3)/4*r*1. Let d = c - 237415/12. What is the common denominator of d and 5/14?
84
Suppose 5*p - 10 = 0, -3*y + 2*p = -6 - 14. Let q = y - 6. What is the common denominator of 314/90 + q/5 and -83/4?
36
Suppose -4*v = -30 - 2. What is the least common multiple of v and 4?
8
Suppose 4*x + 7 = -1. Let m(u) = -10*u. Suppose 4*c = 3*z + 12 - 56, 3*z + c - 64 = 0. What is the smallest common multiple of m(x) and z?
20
Calculate the common denominator of 245/(-10) + 1 + -9 and ((-6)/32)/((-1)/68).
4
Suppose -5*l = -2 - 8. Suppose l*r - 5 + 3 = 0. Calculate the common denominator of 25/18 and 332/16 - (r + -1).
36
Suppose 12 = 5*d - 3*d. Let n(k) = 2*k. Suppose -2*j + 2*s = 9 - 25, j - 2*s - 12 = 0. Calculate the lowest common multiple of n(j) and d.
24
Let y(v) = 5*v**3 - v**2 + 4*v - 4. Let f be y(2). Suppose 4*j + 4