enominator of r and z.
12
Suppose 0 = 2*b - 10, -4*h - 12 + 1 = -3*b. Let z(y) = 19*y**2 - 3*y + 2. What is the smallest common multiple of 12 and z(h)?
36
Let b(c) = -5*c - 33. Let k = 27 - 36. Calculate the lowest common multiple of 30 and b(k).
60
Let g = -8821 - -211559/24. Calculate the common denominator of -137/150 and g.
600
Let u(r) be the third derivative of -r**6/120 + r**5/10 + 3*r**4/8 - r**3 + 3*r**2. Suppose -3*n - 84 = -105. Calculate the least common multiple of n and u(7).
56
Find the common denominator of (-4)/(-10) - (-517)/(-80) and 1/(48/(-508) + 0).
48
Let d be (-4 - 6208645/120)*1/(-2). Let a = d + -25873. Calculate the common denominator of 99/16 and a.
48
Find the common denominator of (-46)/6 - (-119 - -121) and 27/212.
636
Calculate the common denominator of 37/188 and (0 + 4/(-9))*(-12015)/360.
564
Let t be 0 - 4/(-4) - 9. Find the common denominator of (t/(-96))/(2/18) and -67/14.
28
Let v be (-3 - 0)/(12/9872). Let z be -3 - ((-39342)/(-16) + 1). Let k = v - z. Find the common denominator of k and -7/5.
40
Suppose m + 39 = 195. Suppose -3*z - z - m = 0. Let d = 683 - 4087/6. Find the common denominator of d and z.
6
Let f(r) = 0*r**2 - 7*r**2 + 1 + 3 + 6*r - r**3. Suppose 0 = -2*a + c + 40, -c = 11 - 7. What is the lowest common multiple of a and f(-8)?
180
Let h = -8 - -48. Find the common denominator of 2/(-7) + (-389)/84 and (-5)/h*(-39)/(-6).
48
Suppose 5*i - 190 = 2*w, 0 = -3*w + w - 10. Calculate the smallest common multiple of i and 28.
252
Suppose 3*f = 8*f - 4870. Let v = 201/2 + -111. What is the common denominator of 2/7 - f/28 and v?
2
Let m = 68 - 63. Suppose -3*y + m*b - 34 = -111, -2*y + 49 = -b. Calculate the lowest common multiple of y and 15.
120
Let j(c) = c**3 - 3*c**2 + c - 9. Let w be j(6). Suppose -5*q + s + 95 = 0, 4*q + 6*s = s + w. What is the lowest common multiple of 4 and q?
20
Suppose 0 = 4*z - 11 + 107. Suppose 3*m - 8*m + 40 = 0. Calculate the least common multiple of z + 29 + (1 - 0) and m.
24
Let u = -3619 + 1258. Let b = u + 37813/16. What is the common denominator of b and ((-47)/(-3))/((-20)/(-6))?
80
Let c = 104 + -11. What is the smallest common multiple of 18 and c?
558
Let o = -493/12 - -204/5. Let p = -109/102 + -30/17. Find the common denominator of o and p.
60
Suppose -2*i = -l - 414, -2*l + i - 2097 = 3*l. What is the common denominator of 2/(-8) - l/(-432) and 2 - (59/(-8) - 2)?
72
Let k be (-6)/51 - 608/34. Let h = k - 7. What is the common denominator of 30/7 and h?
7
Suppose 47 = 4*o - 445. Suppose o = 7*c - 17. Calculate the lowest common multiple of c and 52.
260
Suppose 5*w = -3*n + 145, -n = -4*w - 0*w - 54. What is the lowest common multiple of n and 11?
550
Suppose -68 = -5*g + q + 51, -4*g - 2*q = -98. What is the smallest common multiple of g and 8?
24
Find the common denominator of -50/27 and ((-2)/88)/((-99)/(-3586)).
594
Let u = -12 - -16. Suppose 0 = -u*d + 5*d - 1. Suppose 5*z + d = 11. Calculate the least common multiple of z and 7.
14
Suppose 106 = 4*y + 26. Let t be (-13*(-1)/2)/(16/96). Let v = t - 25. What is the lowest common multiple of y and v?
140
Let z = -5087 + 106793/21. What is the common denominator of z and (-1)/(-2) + (-644)/72?
63
Let m(g) = 7*g**2 - 1. Suppose q - 29 = 3*j - 0*q, -3*j - 4*q - 19 = 0. Let w(v) = v**2 + 7*v. Calculate the lowest common multiple of m(1) and w(j).
18
Let h be (-363020)/98*(-1)/(-284). Let n = h + 424/71. Find the common denominator of -67/162 and n.
1134
Find the common denominator of (-3 - 446/(-128)) + -1 and (1404/(-144))/(33/(-2)).
704
Let l = -41 - -51. Calculate the smallest common multiple of 2 and 1 + 6/l + 54/10.
14
Let j = -1961 - -64697/33. Calculate the common denominator of (-2)/(-18)*(-304)/12 and j.
297
Suppose 0 = -84*b + 22084 + 11180. What is the lowest common multiple of 12 and b?
396
Suppose -d - 28 = -3*d. Calculate the lowest common multiple of d and 5.
70
Let j = -982 + 1162. Calculate the lowest common multiple of j and 3.
180
Suppose 54*v + 4314 = 4584. Calculate the smallest common multiple of -2*2*1*-1 and v.
20
Let n = -492647/28 - -17597. Calculate the common denominator of 19/12 and n.
84
Suppose -10*t + 145 + 1955 = 0. Suppose 0 = -6*g - 8*g + t. What is the least common multiple of g and 21?
105
Suppose 0*h = h - 24. Calculate the common denominator of -33/4 and (-148)/(-20)*15/h.
8
Suppose -3*w = 2*w - 10. Suppose d - 3 = -0, -w*b - 22 = -4*d. Let q = 11 + b. What is the least common multiple of q and 11?
66
Suppose -h + j = 2, 2*j = j - 1. Let x be h + 1 + 3333/1671. Let z = x - -19519/4456. Find the common denominator of z and 31/6.
24
Suppose -6*j + 7*j - 135 = -u, -5*u = -j - 681. What is the smallest common multiple of u and 44?
1496
What is the common denominator of -91/2 and (-3)/(-15)*31/(-23)?
230
Suppose 0 = -c + 4*w + 56, 5*w - 19 - 1 = -c. What is the least common multiple of c and 24?
120
Let z be (17/8)/((-3)/(-35)). Let w = -422383/24 + 17602. Let k = z + w. Calculate the common denominator of 91/8 and k.
8
Let g = 15 - 27. Let u(d) = -d**2 + 17*d + 4. Let q be u(g). What is the common denominator of -75/8 and 1/(-3) + q/(-528)?
88
Suppose 3*l = -p - 0*p + 65, 2*l - 2*p - 30 = 0. Calculate the smallest common multiple of l and (-3 - 1)*((-5 - -11) + -9).
60
Calculate the smallest common multiple of ((-2)/2*(9 - 4))/(-1) and 35.
35
Suppose 33*a = 43*a - 20. Calculate the smallest common multiple of 694 and a.
694
Suppose -2*y - k + 100 + 91 = 0, 0 = -2*y - 2*k + 196. Let r = 111 - y. Calculate the lowest common multiple of r and 45.
90
Let u = -120 - -180. What is the smallest common multiple of u and 24?
120
Suppose 410*o = 406*o + 1168. What is the least common multiple of o and 12?
876
Suppose 3*z - 80 = -2*z. Suppose 2*d + 4*q = 48, d - 37 + 10 = -3*q. What is the smallest common multiple of d and z?
144
Calculate the smallest common multiple of -2*(-2 - 2) + 2304 and 10.
11560
Let d be (6/9)/(2/6). Suppose 0*v + v = 5*n - 28, 0 = 4*n - 5*v - 14. What is the smallest common multiple of (-3)/d*(-10 + n) and 6?
6
Suppose -3*y + 1 + 2 = 0. Calculate the smallest common multiple of y and (5 - 3) + -4 + 2 + 4.
4
Let z(o) be the second derivative of o**3/6 + 27*o**2/2 - 16*o. Calculate the least common multiple of z(-9) and 8.
72
What is the common denominator of 29/140 and (6 - (-102 - 1))/(-60)?
420
Let q(f) = f**2 - 14*f + 3. Let j be 19 + -18 - (-28)/2. Calculate the smallest common multiple of q(j) and 16.
144
Let u(f) = -2*f**2 + 14*f + 4. Let x = -31 + 38. What is the lowest common multiple of 18 and u(x)?
36
Let x(p) = -7*p**2 + 4*p - p**2 - 4*p**2 - p**3 - 10 + 6*p**2. Calculate the lowest common multiple of x(-7) and 6.
66
Let v = -68 - -48. What is the common denominator of -143/72 and (51/4)/((-55)/v)?
792
Let c = -13 + 41. Let g = -550 - -556. What is the smallest common multiple of g and c?
84
Let m(p) = -22*p - 198. What is the lowest common multiple of m(-27) and 288?
3168
Let w be 4/(-7) + (-2410)/70. Let b = -14/353 + 9777/24004. Calculate the common denominator of -76*((-4)/28)/((-24)/w) and b.
204
Let w(f) = 7*f**3 - 2*f**2 + 2*f - 1. Let k be w(2). Let z = 1 - k. Find the common denominator of (-180)/z + 1/4 and 67/10.
20
Let o = -224107/180 + 6217/5. What is the common denominator of o and 145/12?
36
Let z(a) = 8*a**2 + 3*a + 2. Let l be z(-3). Suppose -2*v - 3*v = l. Let f = 22 + v. What is the smallest common multiple of 1 and f?
9
Let k be (-32)/(-12)*-3 + -41. Let a = -89/376 - -92001/1880. Let c = k + a. Find the common denominator of c and 95/4.
20
Let m(r) = r**3 - 7*r**2 + 2*r - 5. Let k be m(7). Let u = k - 20. Find the common denominator of 85/4 and 94/(-2)*u/(-77).
28
Let i = 1051/10 + -534/5. Suppose 2*r - 2612 = 4210. Let d = r - 37483/11. What is the common denominator of i and d?
110
What is the common denominator of ((-15)/10)/(81/357) and (-742)/(-120) - 5/15?
180
Let l = 24141/10 + -2416. Calculate the common denominator of l and (-3076)/144 - 8/(-72).
20
Let l = 4/291 - 998/2037. What is the common denominator of 41/189 and l?
189
Suppose 0 = -4*v + 4*l - 4, 2*v + 5*l - 7 = 4*l. Let c be ((-210)/4)/(1/v). What is the common denominator of 101/8 and ((-2)/(-12))/((-10)/c)?
8
Let y = 5 - -1. Suppose 0 = -4*w + 5*n + 2