(d) = d**3 + 9*d**2 - 9*d + 7. Let j be m(-10). What is the lowest common multiple of 15 - (6 + (j - 0)) and 10?
60
Suppose o - 5*o = 32. Find the common denominator of 4 - ((-357)/(-33) + -3) and 1128/o*(-2)/12.
22
Suppose 8*m - 7*m = 11. Let c(v) = v**3 - 11*v**2 + 18*v - 20. What is the lowest common multiple of 14 and c(m)?
1246
Let i = -25 - -65. Suppose -5*w = -68 + 8. What is the smallest common multiple of w and 1 + (-6)/2 - i/(-2)?
36
Let t = -2122 + 2266. Calculate the least common multiple of 66 and t.
1584
Let i(t) = t**2 - 4*t - 7. Let q be i(5). What is the common denominator of 76/(-15)*15/(-10) and ((-243)/30 - q) + -3?
10
Let r = 32813/8638 - 8/617. Let n = 51077 + -3881793/76. Calculate the common denominator of n and r.
532
Let s = 30/4159 - -449371/548988. What is the common denominator of s and -77/6?
132
Suppose 2*b - 1 = -5, 4*b + 791 = -3*n. Calculate the lowest common multiple of 8 and n/6*-2*2/3.
232
Let z be ((-18)/(-4))/(3/24). Calculate the lowest common multiple of 18 and (-32)/(-3) + (-24)/z.
90
Let y(b) = b + 19. Suppose -12 = -u + 5*f, 0 = 4*u - 4*f + 22 - 70. Let a = -8 + u. Calculate the smallest common multiple of a and y(-13).
12
Let w(k) = -6*k + 136. What is the lowest common multiple of w(18) and 16?
112
Suppose 3*b - 57 = -3*p, 0 = 4*p - 4*b - 19 - 17. Find the common denominator of (-57)/12*(-20)/p and (16 - 15) + 30/52.
182
Let i(u) = -u - 3. Let t(z) = 1. Let p(o) = -i(o) - 4*t(o). Suppose 0 = -3*y + y + 10. What is the least common multiple of p(y) and 4?
4
Suppose -2*b = 2*s + 778, 3*s = -4*b + 2*s - 1565. Let g = 4699/12 + b. Calculate the common denominator of g and -38/15.
60
Let a = -137/7 + -279/14. Let z = 75/4 - 23. What is the common denominator of a and z?
4
Let d = -357 - -529. Suppose -d = -7*o + 59. Calculate the lowest common multiple of 27 and o.
297
Suppose -50 = -3*t + 49. Suppose -2*j + 4*s = -26, -3*j + 0*j + 3*s + t = 0. Calculate the least common multiple of j and (4 + -1)*14/6.
63
Suppose 6*i - 4*c + 100 = 5*i, -i + 5*c = 102. Let t be (-1*1)/(i/(-152)). Let n = t - 999/161. Find the common denominator of -29 and n.
7
Let y(l) = -2*l + 23. Let q be y(12). Let c be q/3 + 200/24. Suppose 4*w - c = 8. Calculate the least common multiple of w and 8.
8
Let n be (2/(-2))/(11/(-55)). Let y be ((89720/12)/n)/44. Let m = -119/11 + y. What is the common denominator of m and -49/2?
6
Suppose 0 = -v - v - 84. Find the common denominator of v and (-6 + (-1120)/(-126))/((-8)/(-66)).
6
Find the common denominator of 11/102 and (-96)/(-624) - 865/(-39).
102
What is the common denominator of -93/38 and 1696/(-80)*1/4?
190
Let t = -5077/2 + 2409. Let j = t - -644/5. Find the common denominator of -55/114 and j.
570
Suppose 45 - 9 = 4*i. Suppose j + 7 = 2*j. What is the least common multiple of j and i?
63
Let o = 67 + -4. Find the common denominator of -91/2 and 318/o - 1/2 - 1.
42
Suppose -65*k + 69*k - 248 = 0. Let o(y) = y**3 - 3*y**2 + 2*y + 2. Let b be o(3). What is the common denominator of (b/(-24))/((-6)/k) and -33/5?
45
Let j(z) = 3*z**2 - 10*z - 69. What is the lowest common multiple of j(9) and 60?
420
Let v = 5666 + -113371/20. What is the common denominator of 29/382 and v?
3820
Let k = 21 + -15. Find the common denominator of ((-28)/51)/((-16)/(-24)) and ((-6)/42)/(k/(-329)).
102
Suppose 2*h = -h - 3*p, -4*h + p = -10. Calculate the common denominator of 39/11 and 1/5 + ((-3174)/(-180) - h).
66
Let d = -20/1253 + 89323/22554. What is the common denominator of ((-4)/(-24))/((-3185)/399 + 7) and d?
1008
Suppose -4*s + 545 + 4395 = -5*b, -2*s = 0. Let z = b + 19857/20. What is the common denominator of z and (-8 + -2)/((-32)/22)?
40
Suppose -3*i + 5*n - 3 = 0, -5*i - 3*n = -i - 25. Suppose -2*f = 5*g, -i*g - 6*f = -2*f - 12. What is the common denominator of 62/15 and (-49)/10 + 2 + g?
30
Suppose 7 = 3*y - 5*f, -4*f - 3 + 19 = 0. Suppose -9 + 5 = -2*k. Let w(u) = 3*u**2 - 3*u. What is the lowest common multiple of w(k) and y?
18
Let c = -1112537/742 + -46/371. Let h = c + 32891/22. Let i = -72/61 + 1735/488. Calculate the common denominator of i and h.
88
Let v(k) = k**2 + 22*k + 130. What is the smallest common multiple of 1 and v(-10)?
10
Suppose 15 + 3 = -6*f. Let v(s) = -s**3 - 4*s**2 - 7*s + 4. Calculate the lowest common multiple of 20 and v(f).
80
Let d(y) = -y**3 + 7*y**2 - 12*y + 12. Calculate the lowest common multiple of 22 and d(4).
132
Suppose 0*j = -3*j + 2*s - 1128525, -2*j = -3*s + 752345. Let c = 289654047/770 + j. Let y = c + 13/70. Calculate the common denominator of y and -41/3.
33
Let m(n) = n - 11. Let i be m(0). Let t = -11 - i. Suppose 0 = -x + 2*j - t + 4, 5*x - 5*j = 45. Calculate the least common multiple of x and 28.
28
What is the common denominator of (-5)/2*(-55)/140 and -79/80?
560
Let t be -66 + -1 + 24/(-6). Let n = t - -76. What is the smallest common multiple of n and 5?
5
Let g = 4213/1037 - 4/1037. Let y = g - 2787/272. What is the common denominator of y and -29/10?
80
Let x be (-182)/(-6) + (-4)/(-6). Suppose -x - 17 = -4*m. Calculate the lowest common multiple of m and 27.
108
Calculate the common denominator of ((-570)/224)/(135/(-180)) and -29/32.
224
Suppose 4*i - 4*b = 0, 0*i - 4*i + 2*b = 0. Let w(h) = 6*h + 4. Let k = 5 + 3. What is the least common multiple of w(i) and k?
8
Suppose -31*u + 26*u = 4*q - 208, -2*u = 2*q - 84. What is the lowest common multiple of u and 4?
40
Let l(c) = c + 20. Suppose 3 = -x + 2*v, x - 4*v + 3 + 6 = 0. What is the smallest common multiple of l(4) and x?
24
Suppose 5*y + 4 = -6. Calculate the lowest common multiple of 9 and y/7 - 16/(-7).
18
Suppose 4*y - 138 = -4*z + 130, -3*z + 273 = 4*y. Calculate the least common multiple of y and 12.
72
Let b = -29515/2 + 1416791/96. Find the common denominator of 41/42 and b.
672
Suppose -56*c - 484 + 36 = 0. Suppose -52 = 2*q + g, -124 = 5*q + 4*g - 3*g. Let n = c - q. Calculate the least common multiple of n and 22.
176
Let n = 207677/40 + -5190. Let q = -14864 + 416287/28. Find the common denominator of n and q.
280
Let j = 14440 - 259819/18. Let g be (5/(-5) + -15)*10. What is the common denominator of 10/3*255/g and j?
144
Let g = -7/1241 + 110659/37230. Find the common denominator of 41/30 and g.
30
Let y = 3 + 5. Let p(r) = r**2 - 9*r + 10. Let l be p(y). Suppose 10 = 6*m - l. What is the smallest common multiple of m and 2?
2
Find the common denominator of 85/44 and -2*(-2073)/(-432) - 2/(-9).
88
Let c = -177/23 + 719/207. Let r be (-18)/24 - (2/8 - 0). What is the common denominator of c and -2*r/4 + 1062/(-252)?
63
Let p = 10949/1771 - 10/253. Find the common denominator of (1/(-36)*2)/((-1)/20) and p.
63
Suppose -17*c + 768 = -405. Calculate the lowest common multiple of c and 27.
621
Let f = 8 + 19. Calculate the common denominator of 29/(-12) + 9/f and 7/18.
36
Find the common denominator of (-2)/(-3)*(-6420)/1177 and (-494)/(-126) - 4/(-18).
77
Calculate the common denominator of ((-4)/(-10))/((-96)/(-2190)) and 27/62.
248
What is the least common multiple of 72 and (-7614)/(-42) - -11 - (-4)/(-14)?
576
Suppose 9*v - 180 = 6*v. What is the least common multiple of 16 and v?
240
Let b = -240062 + 43211023/180. Calculate the common denominator of -93/20 and b.
180
Let p = -87/3283 + 137503/7294826. Let r = p - -23900413/3333. Let w = -7192 + r. Find the common denominator of -53/20 and w.
60
Suppose 0 = -46*i + 50*i. Suppose q - 33 = -2*b - 5, i = b + 4*q - 28. Calculate the least common multiple of b and 11.
132
Let v = -1515163/150 - -10101. Calculate the common denominator of -94/105 and v.
1050
What is the common denominator of 2 - (-36)/(-24) - (-61)/76 and 65/342?
684
Let t(c) = -c + 24. Let x(s) = -5*s - 29. Let w be x(-9). Let r = 14 + -6. What is the least common multiple of t(w) and r?
8
What is the common denominator of 8/75 and ((-14)/(-3920)*-8)/(10/(-791))?
150
Let c be 147/5 + (-3)/(-5). Let a = -28 + c. Calculate the lowest common multiple of a and 40.
40
Suppose 3*h - 26 = z + 45, -2*h - 2*z + 50 = 0. Let f = h - 12. Calculate the lowest common multiple of 6 and f.
12
Let l = 19515269/189 - 103255. Find the common denominator of 37/21 and l.
189
Let b be (-9)/15 + 311002/(-40). Let n = -7778 - b. Find the common denominator of (-2*395