b(0). Let u = 83 + h. What is the smallest common multiple of 1 + -2 - (-5 - 32) and u?
36
Let u = 104 - 77. Let g(l) = l**3 + l**2 + l + 29. Let z be g(0). Let x = z - u. Calculate the smallest common multiple of x and 10.
10
Let z = 13 + -11. Suppose z*b + 5 = 3*b. Suppose -3*c + 2*p + 29 = 0, c - 5*p = b*c - 54. What is the smallest common multiple of 6 and c?
66
Suppose -t = 3*v - 3, 0 = -9*v + 4*v - 4*t - 2. Let p = -57 - -68. Calculate the least common multiple of 5 - (2 - v) - 0 and p.
55
Let d = -69/218 - -6113/545. What is the common denominator of d and -34/183?
1830
Suppose -63 = -3*t + 5*a - 9*a, 2*a = -4*t + 84. Calculate the smallest common multiple of t and 114.
798
Let q = 5830268/81 - 15767620189/1134. Let s = q - -13846720. Let p = s - 14279. What is the common denominator of p and 39/5?
70
Let n be 4/12 - (-46)/6. Let h(x) = -x**3 + 8*x**2 + x - 1. Let a be h(n). Calculate the lowest common multiple of -4 + a + -3 + 2 and 6.
6
Let l = -4435951/150 + 29574. What is the common denominator of l and -101/24?
600
Let m(v) = 28*v - 602. What is the lowest common multiple of m(22) and 35?
70
Calculate the common denominator of -113/12 and 576/720 - (-257)/60.
12
Suppose 1356*d = 1349*d + 693. Calculate the smallest common multiple of d and 9.
99
Let u(l) = l**2 - 7. Let i be u(3). Suppose 0 = 4*q - i*q - 2380. Find the common denominator of 93/4 and q/30*4/(-7).
12
Let z = -16 - -11. Let i be 24/z*30/9. Calculate the lowest common multiple of 8 and i/((-12)/(-3))*-5.
40
Let l = 160493/33 - 4864. Find the common denominator of l and -37/39.
429
Suppose -3*p - 5*g = 40, -2*g + 3*g + 22 = -2*p. Let f be (-4)/p + (-6)/15. Suppose f = -6*z + 11*z - 30. What is the smallest common multiple of 4 and z?
12
Let u be (-1)/2*(-579597)/(-21). Suppose 2*b + 7074 - 34658 = 0. Let x = u + b. Find the common denominator of -62/3 and x.
42
Let c = -2628250571 + 35184390376928/13387. Let k be ((9/3651)/(-3))/1. Let a = c - k. What is the common denominator of a and 34/5?
55
Let p be 18/9*(-19 - 1). Calculate the lowest common multiple of (-8)/p - 39/(-5) and 14.
56
Suppose -x + 24 = -5*x. What is the smallest common multiple of 2 + (-3 + -20)*(4 + x) and 14?
336
Calculate the lowest common multiple of 481 and ((-99)/132)/((-9)/96).
3848
Calculate the least common multiple of 44/(-154) - 255/(-35) and 189.
189
Let v = -3 - 3. Let g = 81/190 - 6309/760. What is the common denominator of g and 2/v + (-382)/60?
40
Let m(t) = -4*t**2 + 83*t + 31. What is the least common multiple of m(21) and 34?
170
Suppose 0 = -2*j, -2*l + 5*j - 4 = -3*l. Let g be (-3)/9 - 84/(-9). Suppose -g*i + 22 = -7*i. What is the smallest common multiple of l and i?
44
Let t = -58 - -67. Let u(o) = 8*o - 63. What is the least common multiple of 9 and u(t)?
9
Suppose 0 = 9*p - 228 + 12. What is the least common multiple of p and 20?
120
Let v(w) = -w**3 + 11*w - 5. Let a be v(4). What is the common denominator of 558/160 + (-5)/a and 51/16?
16
Let u(l) = -l**3 + 7*l**2 + l - 7. Let r be u(7). Calculate the common denominator of -61/18 and 114/40 + (-4 - r).
180
Suppose 4*i - 3*d + 5*d = -7122, -3536 = 2*i - 4*d. Let v = -1415/12 + 338/3. Calculate the common denominator of v and (i/(-20))/(-7) - -1.
20
Suppose 22*i - 1232 = 14*i. Calculate the least common multiple of i and 55.
770
Let c(a) = -a**3 - 3*a**2 - a - 1. Let b = -3 - -1. Let s be c(b). What is the common denominator of s/(-2) - 656/(-96) and -52/7?
21
Let v be 0*(45/(-10) + 4). Let g = v - 2. Calculate the common denominator of 0 - g/(-20)*-33 and 69/20.
20
What is the common denominator of 10/(-6) - 1602/(-1836) and -131/18?
306
Let j = -25849/1014 - 4/507. Let n be (-914)/2110 + 2/(-8). Let h = n - -7/211. Calculate the common denominator of h and j.
20
Let a be (5/10 - (-1 - -1))*28. Suppose -n + 3*s + 21 = 2*n, s - a = -2*n. Calculate the smallest common multiple of n and 11.
77
Let x = -1/36 + 11/18. Find the common denominator of x and -33/2.
12
Suppose 0 = 4*q - 8*q + 20. Suppose q*a = x + 24, -x - 30 = x - a. Let z = x - -20. What is the smallest common multiple of z and 10?
30
Let g(y) = 4*y - 13. Let o(r) = -8*r + 25. Let q(n) = -11*g(n) - 6*o(n). Let h = 3 - 2. Calculate the smallest common multiple of h and q(3).
5
Let x = 4563/5 - 81539/90. Find the common denominator of x and -29/1674.
1674
Let k = 9 + -10. Let b be -96*(k - (-3)/9). Suppose 0 = 6*p - 10*p + b. What is the least common multiple of p and 8?
16
Suppose -5*z + 4*a + 46 = 0, -3*z + a + 10 + 12 = 0. Let f(l) = -24*l + 1. Let q be f(-1). What is the least common multiple of z/(-10) + 215/q and 1?
8
Let w = -14 + 27. Suppose r - w = 7. Calculate the lowest common multiple of -1 - (3 - 25) - 1 and r.
20
Let f(c) = -87*c**2 + 1. Let v be f(1). Let k = -78 - v. Calculate the lowest common multiple of 6 and k.
24
Let n(a) = -3306*a**2 + 2*a - 5. Let o be n(2). Let r = 158813/12 + o. Find the common denominator of -38/11 and r.
132
Let s = 0 - 4. Let z = -5 - s. Calculate the smallest common multiple of (30/(-25))/(z/5) and 10.
30
Find the common denominator of -5 + (-2 - -3) - (-406)/126 and -64/33.
99
Let h be 8 + -4 - 509646/(-44). Let g = -11582 + h. What is the common denominator of g and 101/22?
22
Suppose 2*v - o + 0*o - 28 = 0, -5*v + 88 = 2*o. Let x = -8 + v. Calculate the smallest common multiple of 10 and x.
40
Let h(w) = w**2 + 2 + 0*w + 5*w + 5 - 1. Let x be h(-4). What is the lowest common multiple of (2 + (3 - -3))*x and 20?
80
What is the common denominator of -4 + -2 + 159/34 and 1*(-3)/2*438/90?
170
Suppose 0 = 2*y + y - 207. Suppose 0 = 3*v - 4*b + 3*b - 87, y = 3*v + 5*b. Suppose -i = -3*f + i + v, 25 = -5*i. What is the least common multiple of f and 22?
66
Suppose -8*n + 554 + 358 = 0. Calculate the least common multiple of n and 12.
228
Let o be 6*(3 + (-3872)/12). Let m = -11449/6 - o. Find the common denominator of (-7)/6*376/(-56) and m.
6
Let d = 40 + -40. Suppose 4*j = -i - 2 + 6, 2 = -3*j - 2*i. Suppose 5*l - 49 = -4*b, d*b - j*b + 22 = 2*l. Calculate the smallest common multiple of 11 and b.
66
Let r(l) = -2*l + 41. Let d be r(-15). Let h = d - 66. Calculate the smallest common multiple of 33 and h.
165
Calculate the common denominator of 222/(-27) + (-8)/(-4) and (-2)/(-4)*(-8 + (-696)/18).
9
Suppose -3*w - 2022 + 8175 = 0. Let j = w - 40977/20. Let i = 38/13 + -449/78. Find the common denominator of j and i.
60
Suppose f - 2 = -16. Let w = -6 - f. Suppose 3*g = 4*v + 7*g - 60, 3*v = 5*g + 85. What is the lowest common multiple of w and v?
40
Suppose 3*s + 297 + 27 = 0. What is the common denominator of -1 + (-2 - (-21)/12) and (-1 + (-466)/(-4))*(-9)/s?
8
Let y = 427 + -363. What is the lowest common multiple of y and 16?
64
Suppose 0 = -3*j - 2 + 38. Let s be (8*-1)/(1 - 0). What is the lowest common multiple of j and (-4)/(-10) + s/(-5)?
12
Suppose -3*n - 18 = 3*f, 0 = -4*n + 3*f - 1 - 9. Let q be (-2)/n - (-4)/(-8). Suppose -3*p - p + 32 = q. Calculate the smallest common multiple of p and 8.
8
Let k = 551 - 533. Let m be (-400)/6*6/(-4). Suppose -5*i + 0*i + m = 0. Calculate the least common multiple of k and i.
180
Let o = 903 + -873. What is the smallest common multiple of o and 18 + (4 - 3) - 1?
90
Suppose -4*d = a + 42, 2*a + d + 26 = -23. Let g(h) = 3*h + 25. Let b be g(-7). What is the common denominator of 31/2 and b*1/a*3?
22
Suppose -430 = -50*t + 55*t. What is the common denominator of (-1)/4*2 + t/(-22) and -117/20?
220
Let a(o) = o + 12. Let c be a(-13). Let s be ((-2 - -1) + 5)*c. Calculate the common denominator of (-70)/24 + s + 2 and 45/32.
96
Suppose 1455 = -6*b + b. Let h = b + -295. Let z = 1784/3 + h. What is the common denominator of -37 and z?
3
Let q(k) = k + 8. Let y be q(-4). Let t(v) = 3 + 5*v - v**3 + y - 5*v. Calculate the lowest common multiple of 10 and t(0).
70
Let q(l) = l**3 - 5*l**2 + 2*l + 3. Let x = -12 + 17. Let y be q(x). Calculate the common denominator of 119/6 and (y/8)/((-1)/3).
24
Suppose 95 = 4*i + 15. Suppose -i = 5*h, -h + 0*h + 68 = 4*x. Let y(d) = 6*d - 28. What is the lowest common multiple of x and y(7)?
126
Let c(d) = -d**2. Let n be c(-2). Calculate the common denominator of 47/60 + n/12 and (-219)/90 - 12/(-9).
20
Let o be (-8 - 18441/960) + 2/(-5). Let v = 