. Let t(x) = -17*x**2 - 6*x - 6. Let l(a) = -6*t(a) - 5*z(a). What is the smallest common multiple of 20 and l(-1)?
60
Suppose 0 = -4*m - 3*j + 21, 4*j = -4*m + 2*j + 22. Let y = 22 - m. Let g(d) = d + 3. Calculate the lowest common multiple of y and g(7).
80
Find the common denominator of (-5)/(-280)*-71*-4 and -77/26.
182
Let n be (-1)/(93/30 - 3). Let b be (-10)/(-3) + n/(-15). Suppose -h = -b*z + h + 90, z - 5 = -3*h. Calculate the least common multiple of 4 and z.
20
Let i(d) = -d**2 + 5*d + 2. Let u be i(5). Let b = 14 + -6. What is the lowest common multiple of b and u/(-10) - (-46)/5?
72
Let u = 330412/87 - 2018688883/532266. Let o = u + 3/437. Calculate the common denominator of o and 79/16.
112
What is the common denominator of -85/21 and 393/8*((-196)/63 - -3)?
168
Let m(g) = 7*g**2 - g. Let j be m(-1). Let b = 19 - j. Suppose 0 = -d - d + 12. Calculate the least common multiple of b and d.
66
Let i = -320581/28 - -11448. Find the common denominator of -27/8 and i.
56
Suppose 3*k + 2*i = -14, 0*k = -5*k + i - 6. Let u be k/(-3) + (-134)/1056. Let s = u + -13/16. Calculate the common denominator of 12 and s.
11
Suppose -12*f + 88 = -f. Calculate the lowest common multiple of 68 and f.
136
Let w = -13766 + 165079/12. Suppose 0 = -p - 1 - 0. Calculate the common denominator of 103/(-14) + p*1 and w.
84
Let b = 10 - 36. Find the common denominator of 24/6*(-20)/b and -33.
13
Let f(a) = a**3 - 2*a**2 - 3*a - 2. Let q be f(3). Let o = q - -8. Let r = 22 - 14. What is the smallest common multiple of o and r?
24
Let u = -1509 + 9091/6. Calculate the common denominator of u and (-3 - 75/(-27)) + (-635)/18.
6
Let l be (-2 - 138/(-15))*-5. Let q = 65 + l. Suppose 2*p = -4*n - 0*n + 6, q = n - 5*p. Calculate the least common multiple of 7 and n.
28
Suppose -6*u - 300 = -11*u. What is the common denominator of (-50)/11 - -2 - -1 and ((-66)/(-15))/(u/(-275))?
66
Let r = -786/29 - -10867/203. Let p be (-198)/28*78/(-20). Let d = r - p. What is the common denominator of d and -65/6?
60
Let k(j) = 3*j + 1. Let o = -9 + 16. What is the smallest common multiple of k(o) and 2?
22
Let z be 2/(-3) - 201681/(-54). Let g = 3712 - z. Calculate the common denominator of 23/9 and g.
18
Let c = 164013/295 + -2777/5. Calculate the common denominator of -28/3 and c.
177
What is the common denominator of (2 + -1)*711/(-72) and -9/8?
8
Suppose 10*h - 48 = 6*h. Suppose 12*a + h = 16*a. What is the smallest common multiple of 10 and a?
30
Suppose -27 + 495 = n. Suppose f = -f - n. Calculate the common denominator of -27/22 and f/14*(-1)/6.
154
Let v(s) = -s**2 + 4*s + 5. Let o be v(4). Suppose 6*m - o*m = 2. Let h(b) = b**2 + 12*b - 8. What is the least common multiple of h(-14) and m?
20
Let g = 16 + -36. Let u = g + 28. What is the smallest common multiple of 12 and u?
24
Let a be (-2)/(-6)*3*-1. What is the common denominator of 25/3 and (a - 21)/(8/9)?
12
Suppose 0*v = z + 4*v + 17, 2*z + 5*v + 19 = 0. Suppose 4*f = -z*u + 32, -4*u = -0*u. Calculate the lowest common multiple of 7 and f.
56
What is the common denominator of (-209)/108 + 1/(-4) and 14/3?
27
Let i = 11 + -9. Let f be (-186 + i)/(26/(-6)). Let m = f + -5403/130. Calculate the common denominator of -95/22 and m.
110
Let g(p) be the first derivative of p**3/3 - 5*p**2/2 + 6*p - 1. What is the smallest common multiple of 2 and g(5)?
6
Let p = 16421/3332 + 1/3332. Suppose 14940 + 14416 = -4*x. Let u = x + 132139/18. Find the common denominator of p and u.
126
Let v = -25 - -37. Calculate the common denominator of -24/5 and 1 - (2 - 249/v).
20
Let m(p) = -p**3 - p + 1. What is the lowest common multiple of m(0) and (-1)/((-1)/10) + -2?
8
Let n be 178/12 - (-2)/12. Suppose 0 = 7*x - 4*x - n. Calculate the lowest common multiple of x and 2/(-4) + (-30)/(-4).
35
Let u be (-14)/(-16)*(-4234)/3. Let d(w) = -310*w + 3. Let b be d(-4). Let y = u + b. Find the common denominator of -15/8 and y.
24
Let a be -2 + 4/((-120)/(-25407)). Let u = -844 + a. What is the common denominator of -77/20 and u?
20
Let i = 7594/11 - 688. Let j = -1969/5 - -23753/60. Calculate the common denominator of j and i.
132
Let h = -13849/20 + 3576/5. What is the common denominator of (135/20 - 6) + (-454)/104 and h?
52
Suppose -2*g - 3*s = -4*g + 37, -3*g - 4*s = -64. Calculate the least common multiple of 22 and g.
220
What is the common denominator of -163/84 and ((-2)/(-10))/(48/(-4740))?
84
Let v = -33350/27 - -1234. Find the common denominator of v and 1/33.
297
Suppose 0 = 6*t - 7*t. Suppose 0 = 4*x - t*x + 8, 2*f - x - 46 = 0. What is the smallest common multiple of 30 and f?
330
Find the common denominator of (-9)/(-6) + 40/14 and 151/12.
84
Let l be (2 + (-38)/2)/(-1). Suppose -4 = -4*o - 2*r, 3*o - 3*r = l + 4. Suppose -16 = -o*h - 4. What is the smallest common multiple of 9 and h?
36
Suppose 3 = -f, 5*l + 6*f - 75 = f. What is the least common multiple of 100 and l?
900
Let t = 61 - 56. What is the lowest common multiple of t and 4?
20
Let w = 4/75 + -6991/300. What is the common denominator of ((-4)/(-9))/(2/(-32)) and w?
36
Let x = 88166407235/24 - 15400114551381745/4192104. Let h = 2/24953 - x. What is the common denominator of h and (-66)/(-32) - (0 - -1)?
112
Suppose 2*l = l + 300. What is the common denominator of (3/8)/(6/(-10)) and 395/l + (-2)/(-6)?
40
What is the common denominator of (-174)/72 - (2 - 0/(-2)) and 2 + -1 - 44/(-168)?
84
Let x be -20*(1 - 5/2). Let t be (-20708)/(-168)*x/(-9). Let d = 5655/14 + t. What is the common denominator of d and 103/10?
90
Let x(c) = 16*c - 6. What is the least common multiple of 4 and x(2)?
52
Let r be (-3 - 2)*(-92)/10. Let a = 66 - r. Suppose t - 3*t = -4. What is the smallest common multiple of t and a?
20
Calculate the common denominator of -41/27 and 42/171*13 - 4.
513
Let j = 2/4193 - 113339/268352. What is the common denominator of j and -4/11?
704
Let g be 2/(-7) + 90/21. Suppose r - g = -0*r. Suppose -6*o - 22 = -94. Calculate the lowest common multiple of o and r.
12
Let l = 3391 + -23685/7. What is the common denominator of 10 and l?
7
Find the common denominator of (-19)/(-37) + 0/(-3 + 2) and 95/4.
148
Let r(q) = q - 2. Calculate the smallest common multiple of 46 and r(6).
92
Suppose -35*m = -38*m + 48. Calculate the smallest common multiple of m and 14.
112
Suppose -2*d + 22 = d + 2*x, -3*d + 4*x - 8 = 0. Calculate the smallest common multiple of 4 and d.
4
Let h = 104699/30 + -3409. Let k = h - 339/5. What is the common denominator of 47/2 and k?
6
Suppose -3*r - f = 4*f - 68, f + 106 = 4*r. What is the smallest common multiple of r and 22?
286
What is the common denominator of 97*(5 - 116/24) and -13/7?
42
Suppose -3*w + 8*w = 25. Let h = 192 - 191. What is the lowest common multiple of h and w?
5
Suppose 5*a = u - 21, 1 = 6*u - u + a. Let w be (-6)/10*u*-5. Calculate the common denominator of 31/20 and 93/126 - 2/w.
140
Suppose 2*z - 4*t - 12 = 0, 2*t + 19 - 5 = 5*z. Let b(n) = -3*n. Let x be b(-8). Suppose -x = -2*u - 6. What is the lowest common multiple of u and z?
18
Let k = -8 + 50. What is the smallest common multiple of k and 14?
42
Let p = 2/4391 + -48333/70256. Calculate the common denominator of -99/8 and p.
16
Let g(p) = 2*p**2 - 2*p - 4. Suppose 3*x = 3*i + 21, -5*x - 3*i + 5*i = -32. What is the least common multiple of x and g(3)?
24
Let x be 3002/(-9)*-8 + 3. Let z = x + -2675. Let s = 2/13 + -136/39. What is the common denominator of s and z?
9
What is the common denominator of (-156)/(-270) - (-8)/20 and 12/35?
315
Let c be (-2)/(-20)*(-2500)/24. Let y = 109/6 + c. Calculate the common denominator of -30/7 and y.
28
Let z(u) = -3358*u + 1. Let x be z(-4). Let n = x - 134221/10. Find the common denominator of n and 5 + (-33)/(-30) + (0 - 3).
10
Let f = -51/7 + 221/14. Let x = -163 + 323. Calculate the common denominator of ((-75)/x)/(2/(-8)) and f.
8
Suppose 5*r = -0*r - 2*k + 68, 0 = 4*k - 16. What is the least common multiple of 4 and r?
12
Suppose 3*q + 2*b + 6 + 31 = 0, 0 = -2*q + 2*b - 8. Let i be 6/(-9) - 276/q. Suppose f + 2*f = i. Calculate the lowest common multiple of 16 and f.
80
Let b(s) = -s**2 - 4*s + 3. Let t be b(-5). Let i be 1/t - 9/(-2). Suppose 10 + 18 = i*m + h, 3*h - 28 = -4*m. What is the lowest common multiple o