*a + 2*b + 66 = -a. Find the common denominator of (-235)/12 - 1/(-4) and 32/a*(-84)/(-8).
33
Let w(m) = m - 1. Let p be w(4). Suppose -3*n - 12 = -2*z, p*n = -5*z + 2*z - 12. What is the common denominator of (87/(-84))/((-2)/n) and -85/18?
126
Let g(y) = 26*y**3 + 6*y + 1. Let k be g(-4). Let s = -15167/9 - k. What is the common denominator of s and 106/(-14) - 18/(-6)?
63
Suppose -2*z + 4 = -3*g, g + g + 8 = 0. Let q be (5 + 267)*(-2)/z. Find the common denominator of 16/(4 - q/12) and -36/5.
55
Let o be 24/16 + 141482/(-15088). Let t = 2/943 + o. Find the common denominator of 115/66 and t.
264
Let h = 51 - 35. Let x(p) = p**3 + 7*p**2 - 4*p - 6. Suppose -30 + 2 = 4*d. What is the lowest common multiple of h and x(d)?
176
Let z(r) be the third derivative of r**6/120 + r**5/20 + r**4/24 - 7*r**3/6 - 21*r**2. What is the least common multiple of 24 and z(2)?
120
Calculate the common denominator of -31/224 and (-4)/(-5) + ((-473774)/(-21560))/(-43).
2464
Let m(a) = 15*a + 21. What is the smallest common multiple of m(1) and 280?
2520
Suppose -d + 3 = 0, -3*o - 2*d = -d - 13194. Let j = o + -39638/9. What is the common denominator of -109/12 and j?
36
What is the common denominator of (-188)/8*(9/(-6))/(-3) and ((-33)/(-5))/3 - 0?
20
Let d be ((-2)/(-3) - 0)*3. Let t be 135156/(-72) + d/12. Let m = 5555/3 + t. Find the common denominator of m and -14/9.
9
Let s = -296650/21 - -14123. Find the common denominator of s and 4/35.
105
Find the common denominator of (-70)/18 + (-4)/8 and (-28)/(-210) - (-454)/(-480).
144
Let f = 791 + -789. Let q be -1*3*(0 - 1). Suppose 4*p + 16 = 4*o, 5*o - 16 = q*p + 2. Calculate the smallest common multiple of f and o.
6
Suppose 31 = 2*v - 13. Calculate the lowest common multiple of 22 and v.
22
Suppose 2*i = -i - 15050262. Let y be i/(-396) - (-10)/(-55). Let m = y + -12665. Find the common denominator of 31/16 and m.
144
Let t be (-244)/(-28) + 4/14. Suppose 4*s + 12 = -x, t*x = -5*s + 4*x - 30. What is the lowest common multiple of 5 and (8 - 7) + s + 12?
55
What is the least common multiple of 78 and 12 + 13/((-39)/(-18))?
234
Let z be (-6 - 4 - -4) + 27. Suppose 5*v = -64 - 116. Calculate the common denominator of (z/308)/((-1)/v) and -52/9.
99
Suppose -15 = 3*q + b - 60, -5*q + 58 = -4*b. Calculate the lowest common multiple of 420 and q.
420
Suppose -3*p = 2*p - 2*n - 143, -84 = -3*p + 3*n. Let o be -4 - 1 - -1 - 19. Let y = o + p. Calculate the lowest common multiple of 9 and y.
18
Suppose -2*v = 3*v + 2*o - 10, -v = -4*o - 2. What is the smallest common multiple of v and 44?
44
Let c = 20683/930 + -34/465. Calculate the common denominator of c and 39/2.
6
Let p be ((-6)/(-4))/((-211)/(-104) - 2). Let t = -36 + p. Calculate the lowest common multiple of t and 7.
112
Suppose -5*f + 1095 = 745. What is the lowest common multiple of 56 and f?
280
Let k = -88 + 102. Let v be 4/(-6) - (-2)/3. Suppose 2*y = 20 - v. What is the lowest common multiple of k and y?
70
Let i = -6700 + 603097/90. Calculate the common denominator of i and 27/50.
450
Let c(p) = 130*p**3 + p. Let b be c(1). Let r = -119 + b. What is the lowest common multiple of 14 and r?
84
Let o = -7681/26 + 295. Calculate the common denominator of (-1)/2*(-230)/(-50) and o.
130
Let s = 1113/2 + -577. Let k = 4 + -5. What is the common denominator of (0 - k)/(18/(-92)) and s?
18
Let i = 1173367/55 + -21333. What is the common denominator of 20/363 and i?
1815
Let j = -35375/122 + 290. Calculate the common denominator of 17/20 and j.
1220
Let p(a) = -a**2 - 9*a + 10. Let y be p(-9). Let v = y - 10. Suppose -1 - 2 = 3*u, 2*d + 5*u - 5 = v. What is the smallest common multiple of d and 9?
45
Let f = 237571762 + -325948483873/1372. Let c be 6/1470*(-5)/(-14). Let q = f - c. Calculate the common denominator of q and 25/2.
4
Let j(h) = h**2 - 9*h + 6. Let l(a) = -5*a + 3. Let z(o) = 3*j(o) - 5*l(o). Let y(s) = -s**2 - 6*s + 8. What is the lowest common multiple of y(-6) and z(2)?
88
Let q(x) = 8*x**2 + 21*x + 76. Let d be q(-9). Calculate the common denominator of d/18 + (-30)/135 and -99/2.
2
Calculate the lowest common multiple of 471 and 1/(-5) - (273/(-15) - -9).
1413
Let d = 80931/16 - 5054. Let k be (-226)/22*(-2)/2. Let o = k - 1787/220. Find the common denominator of o and d.
80
Let f = 29141098012 + -2331355247357/80. Let w = -842601 - f. Let i = 17/80 - w. What is the common denominator of 119/12 and i?
12
Let m = 23 - 17. Suppose -u + m*u - 20 = 0. Calculate the least common multiple of u and 2.
4
Let s = 90427/28 - 3230. What is the common denominator of s and (1 - 129/132)*-69?
308
Let n be 51*2/(-4 + -2). Let p = 23 + n. What is the smallest common multiple of (-8)/2 - (-4 - p) and 2?
6
Let o = 18 - 15. Let h be 54 - (2 - o - -2). Let d = h + -31. What is the least common multiple of d and 6?
66
Suppose -14*i - 796 = -3*k - 10*i, 2*k + i = 516. Calculate the smallest common multiple of 26 and k.
260
Suppose v - 2*y - 10 = 0, 12 + 2 = 2*v + 2*y. Calculate the common denominator of -133/6 and ((-4)/(-120))/(v/1060).
12
Let j = -3 + 14. Let l(w) = -w. Let u be l(-4). What is the lowest common multiple of (-2 + u)*20/5 and j?
88
Suppose 15*q - 79 - 41 = 0. Calculate the lowest common multiple of 390 and q.
1560
Suppose 3*z = z. Suppose r = 2*r - 6. Suppose 32 = q + 3*n - r*n, z = -3*q + 2*n + 68. What is the lowest common multiple of q and 16?
80
Let t = -22168 + 975471/44. Let o = 1438 - 25861/18. Find the common denominator of o and t.
396
Let d(c) = c. Let i(q) = 2*q**2 + 4*q. Let y = 10 + -9. Let w(f) = y*i(f) - 2*d(f). What is the least common multiple of 2 and w(-2)?
4
Find the common denominator of (-804)/(-134) + -1 + (-127)/60 and 4/39.
780
Suppose 3*c = -3*z + 9, 1 = -z + 3*z - 3*c. Let k be 32/(-24) - z/(-6). Calculate the common denominator of (-957)/(-220) + k + 1 and 151/12.
60
Let i = 4181/450 - -2/225. Suppose 12 - 18 = -2*r. What is the common denominator of i and ((-15)/(-50))/(((-54)/(-219))/r)?
20
What is the common denominator of (1 + (-303)/(-12))/(-3) and (-21)/(-14) + 39/8?
8
Let z be 115148/80 - (-8)/20. Let m = 1454 - z. Calculate the common denominator of m and -91/4.
4
Let s = -6951/4 + 1713. What is the common denominator of s and (-381)/(-198) + 2/(-6)?
44
Let a be (4 + -2)*9/2. Let x = a + -12. Let d = x + 7. Calculate the least common multiple of d and 5.
20
Suppose 2*i = -i + 3. Suppose 1 = -2*j - 3. What is the smallest common multiple of ((-52)/78)/(j/9) and i?
3
Let r = 142/191 + -32729/40683. Find the common denominator of r and -33/5.
1065
Let h be 0 + -1 - (1 + -5). Suppose j + 24 = h*j. What is the least common multiple of j and (4 + -2)*(11 - 3)?
48
Let m be 0 - 12/(-21) - 93396/126. Let i = 17491/24 + m. Find the common denominator of 39/30 + (-2)/8 and i.
40
Find the common denominator of 71/42 and 4/72*4572/24.
84
Let q = -6596 - -4323. Let c = q - -15868/7. Calculate the common denominator of -76/3 and c.
21
What is the common denominator of -117/20 and (-34)/(-120)*((-560)/63 - -8)?
540
Let a = 1859/510 + -38/51. Find the common denominator of -31/20 and a.
20
Let g = -1853/144 + 141/16. Let v = -40/3 + 1345/102. Find the common denominator of g and v.
306
What is the common denominator of (-4)/96*2*(-33)/58 and -73/30?
3480
Suppose 9*t + 8*t - 187 = 0. What is the smallest common multiple of 13 and t?
143
Suppose 36 = -6*t + 252. Calculate the smallest common multiple of t and 168.
504
Let y = -5757 + 224561/39. Let x = 15/554 - 6787/240436. Let n = x + 2550/217. Calculate the common denominator of y and n.
156
Let d(a) = -a**2 + 9. Let v(k) = k**2 + 8*k - 7. Let u be v(-8). Let y = -36025/9 - -4010. What is the common denominator of d(u) and y?
9
Let g = -10 - -24. Let w = -113 + 80. Let n = 45 + w. What is the lowest common multiple of g and n?
84
Suppose 0*k + 2*k - 24 = 0. Let m = k + -8. Calculate the lowest common multiple of 1/(-3) - (-136)/12 and m.
44
Let x(u) = -11*u - 2 + 0 - 4 + 2. Let y(r) = r + 5. What is the least common multiple of y(0) and x(-1)?
35
Let z = -633/4 + 791/4. Calculate the common denominator of z and -8 + (3 - (-1417)/156).
12
Let y(p) = -p**3 - 6*p**2 - 4*p - 2. What is the smallest common multiple of y(-6) and (-8)/60*-363 + 2/(-5)?
528
Let g = 97/2 + -176/3. Fin