c) = -c**2 + 1. Let p(b) = -2*g(b) - j(b). Let w be p(6). Find the common denominator of 52/11 and w/(-40) - (-6)/(-4).
55
Let k(a) = -3*a + 38*a**2 - 12 - 28*a**2 + a + a**3. Suppose 2*x - 3*x + 10 = -4*b, 2*x + 5*b + 45 = 0. What is the lowest common multiple of 18 and k(x)?
72
Suppose -1 = 3*v - 4. Let r be (-1 + v)/(-3 + 4). Suppose r = 3*t - 4 - 2. Calculate the smallest common multiple of t and 12.
12
Suppose -5*p + 20 = 3*b - 30, b - 4*p = 28. Calculate the lowest common multiple of b and 22.
220
Let l = -3/33602 - 233081/23891022. Let m = l - -1374433/7110. Let k = m - 193. What is the common denominator of k and 26?
10
Suppose u = -2*u + 5*o - 82, -u - 44 = -5*o. Let q = u - -33. Calculate the smallest common multiple of q and 22.
154
Let l = 24 - 18. What is the smallest common multiple of 51 and l?
102
Suppose 6*y = 3*y + 18. What is the lowest common multiple of 10 and y?
30
Calculate the common denominator of -81/22 and (6/140)/(6/(-345)).
308
Let h(w) = -2*w - 7. Suppose -2 + 8 = 3*u. Suppose u*g = 34 - 12. What is the lowest common multiple of h(-5) and g?
33
Let n = 8 - -4. Suppose -c - 3*o = -2*c - 12, 2*c + 3*o = 21. Suppose 0 = -c*l - 2*l + 110. What is the lowest common multiple of n and l?
132
What is the common denominator of 41/54 and (-3*(-4)/(-120))/(36/1815)?
216
Suppose 3*n + 171 = 9. What is the common denominator of 103/10 and 3/n*-2*-1?
90
Suppose 0 = -x + 2*x - 11. Let m(z) = z**2 - 5*z - 1. Calculate the lowest common multiple of x and m(6).
55
Let o be ((-2)/(-2))/((-1)/(-5)). Suppose 0 = c - o + 16. Let u(p) = p**2 + 9*p - 14. What is the smallest common multiple of u(c) and 2?
8
Let f be 3 + -3 + 2 + 8. Suppose 2*y = 3*y - f. What is the lowest common multiple of y and 8?
40
Let u = -9 + 12. Suppose -u*m = -4*m + 8. Calculate the lowest common multiple of m and 14.
56
Let a(b) = b**3 - 5*b**2 - 7*b. Let i be a(6). Let c = -9 - i. Calculate the least common multiple of -5*(-3)/c*-4 and 2.
20
Let t = 25436 + -254123/10. Let w = 136/5 - t. Calculate the common denominator of w and -21/22.
22
Suppose 3*g + q + 148 + 103 = 0, 0 = 5*g + 4*q + 416. Suppose 3*k - 21 = -a + 9, -a = k - 12. Calculate the smallest common multiple of k and g/(-15) - 8/(-20).
18
Suppose -2*y + 3*x = -6, -5*x + 11 + 23 = 4*y. Suppose 3*w + 30 = -3*t + y*t, -5*t + 56 = w. Calculate the least common multiple of 3 and t.
33
Let w = -76431 + 384402/5. Let q = -453 + w. Calculate the common denominator of q and 9/7.
35
Let w(i) = -i - 9. What is the least common multiple of 15 and w(-10)?
15
Let x(p) = p - 6. Let v be x(9). What is the smallest common multiple of -1 - (-12 + v + 0) and 6?
24
Let w be (-3)/6 - 1754/(-4). Let i = -1723/4 + w. What is the common denominator of i and 2/2 - (-204)/(-8)?
4
Let b = 1/2892 + 24941/7230. Calculate the common denominator of -11/6 and b.
60
Let r = -40 - -28. Calculate the common denominator of (86/(-3))/(88/r) and 41/10.
110
Let v(l) = l**3 + 5*l**2 + 4*l + 6. Let q be (-1)/(-5) + (-278)/(-10). Let j = q - 16. Calculate the lowest common multiple of j and v(-4).
12
Suppose 2 = -2*z + 10. Calculate the smallest common multiple of z and 22.
44
Let y(i) = -i**3 + 6*i + 3*i**2 + i**2 + 2 + 1. What is the least common multiple of 48/28 + (-4)/(-14) - -9 and y(5)?
88
Let a(w) = 105*w**2 + 3*w - 3. Let x be a(-3). Let c = x - 2875/3. Calculate the common denominator of c and (16/(-20))/((-6)/(-95)).
3
Let b = -2/115245 + 527706859/230490. Let c = b - 2244. Find the common denominator of 3*(-85)/12*-2 and c.
2
Let z be 1700/155 + (0 - 2). Let v = 1565/496 - z. What is the common denominator of v and 67/14?
112
Let p = -12196 - -219595/18. What is the common denominator of p and 29/10?
90
Let w = -1863240 - -26143883/14. Let l = w + -4177. Let c = 8077/8 - 998. What is the common denominator of l and c?
56
Let c be 1*((-244)/(-4) - 0). Find the common denominator of 77/2 and c/(-30) - (-1)/3.
10
Let m(u) = 2*u**2 - 4*u - 8. Calculate the least common multiple of 106 and m(5).
1166
Let q = -50285/7014 + 3/1169. Calculate the common denominator of q and 14/3.
6
Suppose 4*p = 1 + 19. Let u(h) = 2*h - 2. Calculate the smallest common multiple of u(p) and 14.
56
Let d(w) = 3*w**2 - w**3 - 2 + w**2 + 0*w**2. Suppose 5*n = -2*a - a + 35, -4*n + 2*a + 50 = 0. What is the smallest common multiple of n and d(2)?
30
Suppose 78 = 4*r - 2*u, -5*r = -4*u - 43 - 47. Suppose n - 15 = -l, -3*n + 26 = 2*l - 14. Calculate the least common multiple of n and r.
110
Let u be (0*(-1 - 0))/(-1). Suppose b + 0*b - 5 = u. Find the common denominator of -43/9 and (-2)/b + (-92)/45.
9
Let s(h) = 14*h**2 - 2*h - 1. What is the smallest common multiple of 27 and s(-1)?
135
Let t(y) = y**3 - 4*y**2 + y. Suppose 0 = -5*w + 93 - 3. Calculate the smallest common multiple of w and t(4).
36
Let m = -17 + 23. Calculate the smallest common multiple of m and 24.
24
Calculate the common denominator of ((-297)/(-18))/((-6)/1) and 33/14.
28
Let p = 1809/4 + -460. Find the common denominator of p and -87/20.
20
Let k(w) = w**3 + 8*w**2 + 8*w + 8. Let s be k(-7). What is the lowest common multiple of (2/(-4))/((-2)/4) and (4 - -1 - s)*1?
4
Let k = -2/67347 - -4916375/1481634. Let m be (-177)/(-6) - 1/(-2). Calculate the common denominator of k and m/8*(-5)/9.
132
Suppose -78 = -3*g + 27. Calculate the lowest common multiple of g and 4.
140
What is the common denominator of ((-393)/(-54))/((-33)/9 - -3) and -131/18?
36
Let b = -54923351/3134 + 17525. Let n = b + -117523/6268. Calculate the common denominator of n and (3/(-40))/(3/(-82)).
20
Suppose b - 70 = -4*b. Suppose 0 = 5*u + 10, 4*a - 39 = u + 19. Calculate the lowest common multiple of b and a.
14
Suppose 5*l - 2*u - 2 - 8 = 0, 2*u - 22 = -3*l. Suppose -l - 4 = 2*p. What is the common denominator of 1/p + 289/(-12) and -67/4?
12
Suppose 5 = i - 5*s, 4*s - 3 = 5*i + 7*s. Suppose i = 3*x + l - 48 + 8, -5*x + 5*l + 40 = 0. Find the common denominator of -33/4 and ((-21)/x)/((-2)/(-26)).
4
Let y = -94 + 48. Calculate the common denominator of -121/20 and 1*-1 + y/8.
20
Suppose 108 = 4*m + 2*n - n, 4*m - 108 = -4*n. Calculate the least common multiple of 6 and m.
54
What is the least common multiple of 3 and (-32)/3*(-144)/64?
24
Let m be -2 - 3 - 6/2. Let l(o) = o**3 + 8*o**2 - 2*o - 7. Calculate the least common multiple of l(m) and 7.
63
Let z be 2/((-6)/((-6)/(-2))). Let b be -1 - z/4*-7021. Let d = -1774 - b. Find the common denominator of d and 41/14.
28
Suppose -4*f = -0*f - 32. Let r be 3/4 + 2/f. Suppose v - 3 = r. What is the smallest common multiple of 18 and v?
36
Let s = 2 + 4. Let a(i) = -i - 2. Let l(t) = -t - 1. Let m(j) = -3*a(j) + 7*l(j). Calculate the smallest common multiple of s and m(-1).
6
Let g(f) = f**3 + f**2 + 16. Let z be g(0). Let i be ((-2)/(-2) + -1)/2. Suppose z = 2*m - i*m. What is the lowest common multiple of m and 9?
72
Suppose m = -2 - 1. Find the common denominator of 81/4 and 0 - ((-363)/10)/m.
20
Let r(q) = -q**2 - 14*q + 15. Let s be r(-15). Suppose 4*f + f - 50 = s. Let z(c) = 3*c - 1. What is the smallest common multiple of f and z(4)?
110
Let g = -20542/5409 + 12/601. What is the common denominator of 12/16*31/3 and g?
36
Suppose -6*q + 8 = -2*q. Calculate the common denominator of q - (-3)/((-48)/122) and 38/9.
72
Let n = 17/9 + -182/9. Calculate the common denominator of n and 55/2.
6
Let y = 1008371/30 + -33616. Find the common denominator of -1/24 and y.
120
Let g = 121 - 6. Suppose -4*j = g - 27. What is the common denominator of (-100)/j*(-2)/(-4) and -45/7?
77
Suppose 70 = 3*s - 4*i, 3*i - 183 = -5*s - 76. What is the lowest common multiple of s and 22?
22
Suppose 5*r + l = 79, -l + 4*l + 67 = 4*r. Calculate the lowest common multiple of 8 and r.
16
Suppose -n + 96 = -0*n + 4*y, -2*y = 4*n - 370. Let j be 20/16*(-105)/n. Let z = -17/23 - j. What is the common denominator of z and -15/2?
16
Suppose 5*o + 12 = 4*o. What is the common denominator of (-4)/((-88)/10) + -3 and 3/(-9) + 119/o?
44
Let o be (-8)/(-28) - 1474/14. Let g be ((-2)/3)/(14/o). Suppose y + g*z - 27 = 0, 5*y = -z + 5*z + 106. What is the lowest common multiple of y and 22?
22
Calculate the smallest common multiple of 20 + -2 - (-3 + 5) and 18.
144
Suppose 0 = -2*n + 2 - 6. Suppose 0*