3 + 8*d**2 + 6*d + 3. Let q(r) = 2*r**3 - 3*r**2 - r + 2. Let f be q(2). Let x = f + 5. What is the lowest common multiple of v(-7) and x?
90
Suppose w + 10 = 6*w. Suppose 5*c + 5*o - 10 = 0, -w*c + 6*c - o = 33. Let s(y) = y**3 - 6*y**2 - 4*y - 11. What is the lowest common multiple of c and s(7)?
70
Let h = -755 - 303. Let b = h - -8443/8. Let p = -58799/16216 + 2/2027. Calculate the common denominator of p and b.
8
Let q = 227/6 - 134/3. Calculate the common denominator of 34/21 and q.
42
Find the common denominator of -109/612 and (158/(-20) - -8)*172/6.
3060
Suppose 0*s - s = 8. Let x(d) = -d**3 - 5*d**2 - d + 3. Calculate the lowest common multiple of ((-10)/s)/(4/16) and x(-5).
40
Let r = -78203/25 + 3130. What is the common denominator of 7/125 and r?
125
Let t(j) = j**3 + 8*j**2 - 31*j + 30. Suppose 0*d - 114 = -3*d. What is the lowest common multiple of d and t(-11)?
152
Suppose 0 = 5*j - 4*y - 199, 2*j - 64 = -4*y + 38. Let k = -33 + j. What is the least common multiple of 6 and k?
30
Suppose -2*k - 2*w - 6 = 0, -2 = 3*w + 4. Find the common denominator of ((-6)/(-8))/(k/15) and -55/4.
4
Suppose -25*j + 225 = -10*j. What is the lowest common multiple of j and 6?
30
Let s(a) = a**3 - 4*a**2 - 4*a + 7. Let r(z) = -2*z**2 + 9*z + 1. Let n be r(4). Calculate the smallest common multiple of s(n) and 33.
132
Suppose 81*i - 63*i = 810. What is the least common multiple of 117 and i?
585
Calculate the lowest common multiple of (13 - 18)*(1 - 15*1) and 9/54 + 118/12.
70
Suppose -6*d - 74 = -50. What is the lowest common multiple of 11 and (-4 + d/(-5))/(2/(-80))?
1408
Let b be (-2)/(-4) - (-2233)/(-2). Let t = -11221/10 - b. Find the common denominator of (2/(-72))/(13/(-2158)) and t.
90
Suppose 30040 = 4*r + 2*p, 2*p - 22552 = -3*r + 6*p. Let u = -150167/20 + r. What is the common denominator of u and 402/88 - (-5 + (-84)/(-16))?
220
Let w = 623187 + -115911137/186. Let m = w - 11/62. Calculate the common denominator of m and 22.
3
Let o = -70 + 76. Find the common denominator of -139/120 and (-177)/12*1 - (-10 + o).
120
Let r = -19 + 21. Let g be (-3)/r + 1105/26. Let o = -32 + g. What is the least common multiple of 2 and o?
18
Let b(p) = -19*p + 512. Calculate the smallest common multiple of b(26) and 274.
2466
Let t be 2444/42 + 0 + (-2)/6. Let l = t + -4405/84. Find the common denominator of l and 7/9.
36
Let p = -835 + 855. Calculate the smallest common multiple of p and 650.
1300
Let t = 1541839/990 - 7783/5. Let n = t + -38/9. Calculate the common denominator of n and -103/18.
198
Suppose 0*o - 12 = -3*o. Suppose -o*t + 172 - 20 = 0. What is the lowest common multiple of t and 16?
304
Suppose -766 = -4*u + 3*p - 4, 5*u - 947 = p. Calculate the lowest common multiple of u and 105.
945
What is the smallest common multiple of 10/(-11 - -21)*10 and 13?
130
Let n = 19 + -17. Let d(p) = 3*p**2 - 2*p + 2. What is the least common multiple of 8 and d(n)?
40
Suppose 12 = 3*m, -30*s = -34*s + 3*m + 436. What is the smallest common multiple of s and 70?
560
Let j = 811 - 775. What is the smallest common multiple of j and 16?
144
Let b = 211055/22 - 9598. Calculate the common denominator of 2*6/(-28) + 996/(-616) and b.
22
Let d = -170 + 188. Suppose -4*c = -3*c - 9. What is the smallest common multiple of c and d?
18
Suppose 5*n + 6 = 3*o, -o - 2 = -n - 2*n. Let r = -5 + o. What is the least common multiple of (-90)/(-21) + r/(-7) and 10?
20
What is the least common multiple of (-1)/(6/8) - (-579)/9 and 3?
63
Suppose 49 = 2*b + 17. Suppose -37 = -i - x, -9 = -i + 5*x + 34. What is the lowest common multiple of b and i?
304
Let g = 11 - 17. Suppose -7*m + 5 = -9. What is the smallest common multiple of 2 and ((-6)/m)/3 - g?
10
Let q = 2 + 11. Suppose 0 = 5*j + q - 168. Suppose -5*r - 2*h + 14 + 66 = 0, 4*r - 5*h = j. What is the lowest common multiple of r and 14?
14
Suppose -17*m + 72 = -11*m. Suppose 0 = -0*v - 3*v + 42. What is the smallest common multiple of m and v?
84
Let o(g) = -g**2 - 20*g + 21*g + 1 + 0. Let t be o(-1). Calculate the lowest common multiple of 8 and t/(-4) - (-435)/20.
88
Suppose -4*l + 0*y - 3*y = -65, l - 3*y - 5 = 0. Let x = 1 + 2. Suppose -4*j - 2 = -5*w, w + 2*j = -x*w + 12. Calculate the lowest common multiple of l and w.
14
Let d(w) be the third derivative of -91*w**4/24 - w**3/6 - 2*w**2. Let g be d(1). What is the common denominator of -53/14 and 1 - g/(-88)*3?
154
Let h be (303466/(-6))/((-539)/(-7714)). Let i = h - -4344023/6. Let b = -1062/7 + i. Calculate the common denominator of b and 29/22.
22
Let q be (-313)/2 + 1/2. Find the common denominator of (3/q)/((-1)/38) and (-163)/12 - (-84)/36*3.
156
Let q = 4689 + -103189/22. Let t = -1/11 + q. Find the common denominator of t and 36/11.
22
Find the common denominator of -11/40 and 3 + (-48)/14 + 515/(-140).
280
Let c(u) = -5*u + 135. Let d be c(0). Suppose 12*f - 21*f + d = 0. What is the smallest common multiple of 3 and f?
15
Suppose -3*f - 6 = -2*f. Calculate the common denominator of 57/5 and (-10)/3 + (528/(-90) - f).
5
Let j be 12/9*3*4849. Let l = j - 6343. Let z = l + -260937/20. What is the common denominator of 145/18 and z?
180
Let v be ((-24)/(-16))/(2/116). Let x = -79 + v. What is the lowest common multiple of x and 11?
88
Let i = 202 - 172. Calculate the least common multiple of i and 30.
30
What is the common denominator of 39/88 and (8/21)/((-306)/(-5712))?
792
Let g = -4507/924 + 179/28. Let i = -498539/30 - -16621. Calculate the common denominator of g and i.
330
Suppose 0 = -3*d + 4*d - 126. Find the common denominator of 41/20 and 783/572 + (d/(-91))/(-9).
220
Let a(f) = -13*f + 65. Calculate the least common multiple of a(-13) and 16.
1872
Suppose 0 = 4*b + 8 + 16. Let t = -20 + 44. Find the common denominator of t/b + 1/2 and -105/22.
22
Suppose 1368 = r + 7*r. Calculate the common denominator of 89/2 and -2 - (-18)/3 - 519/r.
114
Let g(p) = -12*p - 180. What is the least common multiple of 9 and g(-16)?
36
What is the lowest common multiple of (-4 + -3 + 2)/(5/(-6)) and 210?
210
Let v = 1052 + -14639/14. What is the common denominator of (-530)/252 + 6/(-21) and v?
126
Calculate the least common multiple of 28 and (-5)/(2/4 + -3).
28
Let c = -123/28 + 821/308. Find the common denominator of 57/253 and c.
253
What is the least common multiple of 3 and 9 - (2 + -2)/(3/1)?
9
Let k(a) = -a**3 - 21*a**2 - 2*a - 35. Calculate the lowest common multiple of k(-21) and 77.
77
Let w = -362 - -370. Calculate the least common multiple of -7*((-2)/1)/2 and w.
56
Let s(l) = -795*l**3 + l**2 + 4*l - 2. Let h be s(4). Let b be 4/22 + h/(-4312). Let j = -60/49 + b. What is the common denominator of -3/11 and j?
44
Let t = 195697/22 + -8893. Find the common denominator of -55/288 and t.
3168
Let z = 145580 + -27514684/189. Calculate the common denominator of z and -19/27.
189
Suppose 156 = 1520*i - 1517*i. Calculate the lowest common multiple of 39 and i.
156
Let t(a) = 2*a**2 - 9 + 5*a**2 + 11 - a**2 + 3*a - a**3. Let p = -13 + 29. Calculate the smallest common multiple of p and t(6).
80
Calculate the common denominator of 17/(-216)*(-140)/42 and 17/10.
1620
Let q be (3/2)/((-6)/(-32)). What is the common denominator of 156/63*9/q and 23/12?
84
Suppose -2*c + 24 = -y + 2*c, 0 = 2*c - 8. Let o = 65671/12260 - 4/613. What is the common denominator of o and (-2)/18*10*102/y?
60
Let t(o) = o**3 + 6*o**2 + 3*o - 6. Suppose -10 - 19 = 4*r + 3*d, 0 = -4*r + 5*d - 5. What is the smallest common multiple of 8 and t(r)?
8
Find the common denominator of 119/100 and 100/(-175) - 884/1540.
1100
Suppose 5*s - i = 2*i + 36, 2*i = -5*s + 26. Calculate the least common multiple of 93/9 - 2/6 and s.
30
Calculate the common denominator of 131/126 and 9/(-70) - ((-516)/(-60) + -9).
630
Let o be 4 + (-873)/(-6)*-4. Find the common denominator of o/(-720) - (-4)/18 and (-1*2/70)/((-4)/90).
280
Suppose 4*q + 184 = -4*x, -34 = 4*x - 2*q + 138. What is the common denominator of -7/44 and x?
44
Suppose -5 = -t - 3, 5*h - 79 = -2*t. What is the lowest common multiple of 74 and h?
1110
Suppose -3*i + 2*i = f + 1, 2*i - 3*f + 7 = 0. Find the common denominator of (-1 - 0)*-1 - 15/100 and i/(-8) - 238/(-21).
60
Let g(r) = 84*r**2 - r - 1. Let y be g(-1). Suppose 266 - 96 = 5