) and d.
420
Let f(v) = -v**3 + 11*v**2 + 26*v + 4. Let h be f(13). What is the common denominator of 79/14 and (-1183)/(-260) + (-2 - h)?
140
Suppose 62 = -6*a - 10. Let z be (3 - a/3) + -3. Suppose 4*t + 4 = s, 2*s - z*t = 6*s - 96. Calculate the least common multiple of s and 4.
20
Let y(k) = 2*k**2 + 95*k - 3025. What is the least common multiple of y(-75) and 550?
1100
Let x(y) = -y**3 + 17*y**2 - 45*y + 47. Let j(o) be the first derivative of o**3/3 - 3*o**2/2 - o + 3. What is the least common multiple of x(14) and j(4)?
15
Let a = 148/1809 - 3/67. Let h = 35692 + -1499195/42. Find the common denominator of h and a.
378
What is the common denominator of -48/6919 and (-3)/27*4/((-4)/(5 + -61))?
62271
Let k = -579345535/1626 + 356301. Find the common denominator of k and 73/12.
3252
Let p = -1810 - -1815. Let n be 0 + (1 - 2) - -2. Suppose d + 3 + n = 0, p*u - 144 = -4*d. What is the smallest common multiple of u and 4?
32
Let t(l) = -338*l**3 + 8*l**2 + l + 3. Let v be t(3). Let m = v - -90387/10. What is the common denominator of m and -37/100?
100
Let p = -328 - -335. Calculate the common denominator of -39/14 and (p - 11) + (-189)/30 + -2.
70
Let z = 1487185/47731071 - -2/114463. What is the common denominator of z and 31/180?
25020
Let b = 5531/182 - 422/13. Let i(g) = -g**3 + 6*g - 5. Let l be i(1). Calculate the common denominator of b and 137/(-40) + 6 + l + -1.
280
Suppose -31 - 68 - 101 = -40*a. Suppose 0 = 5*b - 18 - 2. What is the least common multiple of a and b?
20
Suppose 4*d = -807 + 3127. What is the lowest common multiple of d and 725?
2900
Suppose 0 = 3*w, 53 = 3*h + 4*w + 20. Let c = h - 3. What is the lowest common multiple of (c/(-6))/(24/(-252)) and 40?
280
Suppose 4 - 136 = -12*p. What is the smallest common multiple of p and (-7)/((9 - 10)/11)?
77
Let a(z) = 2*z + 11. Let j be a(-8). Let w = -2705 + 2722. What is the smallest common multiple of 2 + j - (-3 + -1) and w?
17
What is the common denominator of -41/81 and (-60)/(-708)*(-34)/45?
4779
Let t = -91936/31 + 2966. Let s = t - 1084/93. Let i = 251/6 + s. Calculate the common denominator of -76/3 and i.
6
Let v(y) = 7*y + 24. Let u be v(1). Let n be 21 + (-1 - -3 - 3). Suppose -4*g + n = 0, t + g + 4*g = u. Calculate the least common multiple of 2 and t.
6
Suppose k + k - 220 = 0. Let y be (1665/k)/((-13)/6 - -2). Let l = y + 18301/198. Calculate the common denominator of l and -85/4.
36
Let p(c) = 40*c**2 - 2*c - 2. Suppose w - 3 = -2*i + 6, 3*w + 18 = 3*i. What is the lowest common multiple of p(w) and (-2)/(-8) - 525/(-12)?
440
Let m(a) = 125*a - 696. Calculate the smallest common multiple of 21 and m(6).
378
Suppose -2*l = -14, -477*l + 474*l + 4041 = 2*b. Calculate the smallest common multiple of 28 and b.
28140
Suppose 70*b = 79*b - 18. Suppose -159*c + 149*c + 480 = 0. What is the smallest common multiple of b and c?
48
Let f(v) = 29 - 4*v + 5*v - 2*v + 7*v - 11*v**2 + 2*v - v**3. Calculate the lowest common multiple of 3 and f(-12).
231
Let w = 385/111 + -8993/1110. Find the common denominator of (-1*(-292)/(-120))/(-1) and w.
30
Suppose 0 = 5*z + z + 22764. Let i = 170672/45 + z. What is the common denominator of -17/90 and i?
90
Find the common denominator of 14/(-960) - (-2 + (-4)/(-2)) and 95/136.
8160
Suppose -30 = 5*h - 145. Suppose -1204 = h*i - 5114. What is the smallest common multiple of i and 51?
510
Let z(o) = o**2 - 8*o + 20. Let p be z(6). Suppose 0 = 12*q - p*q - 20. Calculate the smallest common multiple of 72 and q.
360
Suppose 41*f - 46*f + 15 = 0. Suppose 0*z + f*z = 6. What is the common denominator of -19/18 and ((-312)/(-20))/(-4*z)?
180
Let d = 4446 + 1441. Let c be (-66)/2*d/81. Let w = c + 2397. Calculate the common denominator of 86/21 and w.
189
Let h = 28464 - 28447. What is the smallest common multiple of 2618 and h?
2618
Let w(q) = 3*q**3 + 76*q**2 - 25*q - 70. Calculate the lowest common multiple of w(-25) and 75.
17700
Find the common denominator of (-9625)/2940 + 36/42 and (1/18)/(112/(-1788)).
168
Suppose 2*o + 4*i + 340 = 0, i + 489 = -3*o + 2*i. Let m = -161 - o. Let l = 67 + -46. Calculate the least common multiple of l and m.
21
Let f = 2062 - 2044. What is the lowest common multiple of 520 and f?
4680
Suppose 8*x + 7*x - 5055 = 0. Let l = x - 313. What is the lowest common multiple of l and 20?
120
Let p(o) = -o**3 - 38*o**2 - 345*o - 33. What is the least common multiple of p(-11) and 165?
495
Let y(s) = s**3 - 3*s**2 - 11*s + 4. Let q be y(5). Let f be 54/12*(61 + q). Calculate the common denominator of -137/30 and 927/f*(-15)/12.
120
Let m(d) be the third derivative of -d**5/60 - 3*d**4/8 - 5*d**3/6 - 30*d**2. Let b be m(-8). What is the common denominator of (-15)/(-6) - b - 1 and -5/48?
48
Suppose 0 = g - 2*g - p + 590, 6 = -3*p. What is the least common multiple of (-4)/(-10) - ((-152)/20 + -2) and g?
2960
Let m(q) = -210*q**2 - 8*q + 8. Let z be m(1). What is the common denominator of -15/98 and 35/(-105) - (-17)/z?
490
Let p be (2 + 6/(-9))*(7 - 4). Suppose 5*i - 3*z = -p - 0, 0 = -i + 2*z + 2. Calculate the common denominator of 87/2 and ((-2)/6 - i) + 4/(-24).
2
Let v = -63 + 147. Suppose -2*r - 324 = -20*r. What is the smallest common multiple of r and v?
252
Let g be ((-5)/15)/(2/18) + 3. Suppose 7*o - 102 = 4*o + 3*i, -o - 5*i + 22 = g. What is the least common multiple of -4 - o/(-4) - 0 and 6?
12
Let a = 114241483/29055 - 58979/15. Calculate the common denominator of -28/117 and a.
17433
What is the lowest common multiple of 2 + (-555)/(-3) - -5*(-7)/(-35) and 470?
940
Suppose 88972 = 102*s - 209378. Calculate the lowest common multiple of s and 2925.
2925
Find the common denominator of (3/116)/(3/310) + -1 and 77/174.
174
Let x = -11 - -339. Let n = x - 310. Calculate the smallest common multiple of n and 9.
18
Suppose 3*g + 5*f = -0*g + 120, -152 = -4*g - 4*f. Calculate the common denominator of (3 + 135/21)/(-19 + g) and -55/72.
504
Let w(l) = -l**3 + 8*l**2 + l + 1. Let g(c) = -c - 4. Suppose -2*v - v - 36 = 0. Let y be g(v). Calculate the least common multiple of w(y) and 2.
18
Suppose -2*o - 4 = -2*t, -4*o - t + 21 - 4 = 0. Calculate the lowest common multiple of 171/o - (-20)/(-4) and 2.
52
Find the common denominator of -5/26 and (90/(-25))/((-39)/((-7020)/3144)).
3406
Calculate the common denominator of 13/130*(-890)/4 and (-90)/108 + (-302)/(-960).
160
Let c = 118 - 96. Let a be 1152/(-112) + 2/7. Let x = c - a. Calculate the smallest common multiple of 9 and x.
288
Let w(l) = 45*l + 39. Let y be w(-3). What is the common denominator of (-656)/y*(2 - 19/8) and -27/52?
208
Suppose -5*b - s = -77 - 11, -5*b = -4*s - 98. Suppose -b - 14 = -8*y. Calculate the common denominator of ((-145)/(-72))/(y/(-12)) and 143/6.
24
Let p(n) = -5*n - 4. Let o be p(-7). Suppose -m + o = 53. Let y(b) = -b**3 - 21*b**2 + 20*b - 41. What is the smallest common multiple of y(m) and 3?
3
Find the common denominator of 97/10394 and (385/(-132) - 0)*-57*(-2)/(-63).
93546
Let u = 972 - 581. Suppose -h - 4*h + u = -3*f, -2*f - 3*h - 248 = 0. Let x = 139 + f. What is the least common multiple of 20 and x?
60
Let z(b) = b**3 - 5*b**2 + 6*b - 6. Let o be z(4). Calculate the common denominator of o + (-1)/(40/(-404)) and ((-7953)/(-126))/11 + -3 - 11/22.
210
Let a(p) = -p**2 + 11*p - 35. Let r be a(7). Let t(d) = -d**3 - 6*d**2 + 6. Calculate the smallest common multiple of t(r) and 55.
55
Let d(o) = o**3 - 7*o**2 + 6*o + 4. Let i be (-2)/(-12) + 2684/(-264). Calculate the least common multiple of (-46)/i - (-40)/100 and d(6).
20
Let r = 51594239/420 + -1583663/15. Let s = r + -17268. Find the common denominator of s and 39/4.
28
Let k = -28650 - -29644. Calculate the least common multiple of 2840 and k.
19880
Let l(u) = -u**3 + 18*u**2 + 14*u + 15. Let h be l(19). Calculate the common denominator of (55/h)/((-2)/(-8)) and 13/48.
48
Let f = -134551/609348 + 2/8961. Calculate the common denominator of f and -179/2040.
2040
Suppose -4*s + 3*u = -530, 0 = 6*s - 2*s - u - 518. What is the smallest common multiple of s and -3*2*(-15)/9?
640
Let d(j) = 2*j**3 + 22*j**2 - 44*j + 6. What is the smallest common multiple of 3038 and d(-11)?
15190
Let y be (-25460)/25458 - (-4 + 3). Let f = 827417/407328 + y. Let r = 43/125 + -8