65*-5*5/(-25). Let f = v + -82. Let u = f + 214/9. Find the common denominator of u and -41/6.
18
Suppose -12*i - 5*i + 342480 = 13*i. What is the lowest common multiple of i and 10?
57080
Find the common denominator of 101/550 and 1/6 - (6 - 9739/1650).
550
Let w = -111/70 - -3019/1330. Let k = 7649 - 1743995/228. Let f = k + w. Calculate the common denominator of 107/20 and f.
60
Suppose -2*x - 99 = -3*m + 2*x, m = -3*x + 33. Let n = 24 + 0. Suppose 2*p - n - 18 = 0. What is the smallest common multiple of m and p?
231
Suppose -6*b - 19 + 1 = 0. Calculate the smallest common multiple of 45 and (-660)/(-8) + b*(-6)/(-12).
405
Let w be (16/(-6))/(-2)*(-24)/(-16). Suppose 5*u = y - 73, w*y + 3*u = -2*y + 315. Let i = y - 69. What is the smallest common multiple of i and 6?
18
Let i(b) = -b**3 + b**2 - 1. Let h(g) = -2*g**3 - 6*g**2 - g + 8. Let k(z) = h(z) - 3*i(z). Calculate the lowest common multiple of k(9) and 1.
2
Calculate the common denominator of 12/22 - (-10809)/598752*-16 and -31/3456.
24192
Let r be (-6)/(-10)*45/18*8. Suppose -r*s = -222 - 102. Calculate the lowest common multiple of s and 3.
27
Suppose -3*d = w - 102, -4*w + 288 = -w + 3*d. Suppose 3*g = -3*j + 51, -j + w = 5*g - 4*j. Calculate the lowest common multiple of (-3)/(-2)*8/6 and g.
18
Calculate the common denominator of 109/486 and (-211)/54 - 13/(52/(-24)).
486
Find the common denominator of -1 - (315/(-3822) - (-1)/(-2)) and 93/10.
910
Let p be (4 + (-9 - -3))*(-13)/2. Calculate the common denominator of (6 - 7) + (-7)/(-9) + -1 and (11/121)/((-1)/p).
99
Let u = -9907 + 9927. Calculate the lowest common multiple of u and 5804.
29020
Let d = -526289/104 - 1147/104. Let r = 5627 + d. Let f = r + -6146/11. Calculate the common denominator of -11/40 and f.
440
Let i(o) = -819*o + 14832. Calculate the smallest common multiple of 555 and i(18).
3330
Suppose 298 = 5*b - 3*f, -5*f - 71 = -2*b + 71. Calculate the smallest common multiple of 4116 and b.
8232
Suppose 2*c + 21*k - 16*k = 47, -c = -4*k + 22. What is the least common multiple of 365 and c?
2190
Let g(l) = 16*l + 931. What is the least common multiple of g(-46) and 130?
390
Let h be (140/50)/((-2)/(-100)). Let n = h + -4585/33. What is the common denominator of (71/(-45))/(8*(-9)/216) and n?
165
Find the common denominator of 5158755/322353 - (-1 - -17) and -5/6.
71634
Suppose 509*j - 2185 = 72*j. Calculate the smallest common multiple of 11 and j.
55
Let h = -555149/66 + 8412. What is the common denominator of 61/36 and h?
396
Let y = 5067 + -35601/7. Let w = y - -1391/63. Find the common denominator of w and 65/34.
306
Suppose 3*r = 2*f - 0 - 4, -5*r + 8 = 4*f. Suppose -f*m - 5 = u, -m - 5 = -3*u + 8. Calculate the least common multiple of 12 and u.
12
What is the common denominator of (3/(-28))/(-1*(722/238 - 3)) and -15/22954?
183632
Let w = 220607/12 + -18382. Let k = -1012678417/2788965 - -9/413180. Let l = k + 1445/4. What is the common denominator of w and l?
108
Let u be ((-103)/6)/((429/(-6))/11). Let d = 9/13 + u. What is the common denominator of d and 0 - 3 - 22/26?
39
Let h be (14*5/(-3))/(1/3). Let f be 2/4 + (-9)/h. Let i = f + -1951/1155. What is the common denominator of i and 8/33?
33
Let o(d) = 2*d - 32. Let p be o(-2). Let c = -2/22689 + -2200793/453780. Calculate the common denominator of p/54 - 125/(-36) and c.
180
Calculate the common denominator of ((-3648)/(-158802))/(54/(-21)) and -49/1592.
14328
Let l(s) = s - 1. Let q be l(4). Suppose -5*a + 8*a + 5*k - 70 = 0, 0 = -a - q*k + 26. Suppose 13*b + 42 = a*b. Calculate the least common multiple of 23 and b.
138
Let w = 4363/13794 + 49/1254. What is the common denominator of w and 5/88?
968
Suppose -3*f - 11 = -2*u, 3*u + 2 = 5*u. Find the common denominator of (29/2 + f)*(-28)/(-154) and -1 - 124/(-15) - 1.
165
Let y = 4005 + -3672. What is the least common multiple of y and 555?
1665
Let n(a) = a**3 - 10*a**2 - 8*a - 33. Let v be n(11). Suppose -4*w - 153 + 225 = v. Suppose 41 = 3*g + 5. What is the smallest common multiple of w and g?
36
Calculate the least common multiple of (-7 + 22)*196/42 and 28.
140
Let l(d) = 17*d**2 - 325*d + 47. Calculate the smallest common multiple of l(19) and 372.
1116
Let y(w) = -w**2 + w + 1. Let c be y(0). Let k be c*(-65076)/(-32)*-3. Let q = k + 6110. Calculate the common denominator of q and -49/3.
24
Find the common denominator of -80/21 and -1*(-2)/(-24) - 3*2.
84
Suppose 0 = -15*j - 11*j + 99 + 421. Calculate the least common multiple of j and 200.
200
Let f = 12561 - 11501. What is the lowest common multiple of f and 8?
2120
Let n = 16 + 22. Suppose n*j = 42*j - 120. Let x = 418 + -402. What is the least common multiple of j and x?
240
Let p be (-14)/(-70) + (-59)/(-5). Suppose -5*f + 12 = -f + 4*o, 3 = -o. Let v = f + p. What is the lowest common multiple of 21 and v?
126
Let d(w) = 700*w**2 + 13*w + 13. Let s be d(-4). Let c = -134045/12 + s. What is the common denominator of 59/15 and c?
60
Let j(q) = q**2 + 4*q - 2. Suppose -2*z + 25 = -7*z. Let s(m) = 8*m**2 + 48*m + 4. Calculate the lowest common multiple of s(-6) and j(z).
12
Let w(l) = -141*l + 45. Let r be w(-4). Suppose 129 - r = -4*f. What is the smallest common multiple of f and 4?
120
Let k(i) = 2*i**2 + 313*i - 793. Calculate the smallest common multiple of k(-159) and 49374.
49374
Suppose -3 = -v - 1. What is the common denominator of ((-36)/(-21))/6 - (-13547)/2394 and ((-5)/(-36))/(v/(-150))?
36
Let b(j) = j**3 - 2*j**2 + 3*j + 3. What is the smallest common multiple of 61740/2646 - (-2)/3 and b(3)?
168
Suppose 3*g + g + 4 = -4*m, 17 = -2*g + 3*m. Suppose -4*o + 2*y = -46, 5*o + 4*y - 26 = 25. Let h = g + o. Calculate the lowest common multiple of h and 3.
21
Suppose -p - 7*y + 1333 = 0, 23*p - 21*p = 2*y + 2746. Calculate the least common multiple of p and 18.
1368
Suppose -4*z + 8*z + 49 = 5*k, -2*k + 16 = 2*z. Calculate the least common multiple of -1 + 20 + (-2)/2 and (k/(-2) - -6)*8.
36
Let l be (-2)/(-7) - 679/(-49)*-5. Calculate the common denominator of 14/(-9) - (1 + 0) and 0 + (-1 - l/(-90)).
90
Let s = -5/266 - 3433/1330. Find the common denominator of s and (4012/(-2832))/((-28)/9).
560
Calculate the lowest common multiple of ((-76 - 1)*-1)/1 and (-12)/(-22) + (-68121)/(-891).
77
Find the common denominator of (-4)/(-560)*206*1 and 4/14*146/32.
280
Let x(h) be the third derivative of h**6/120 + h**5/10 + h**4/8 - 3*h**3/2 + 56*h**2. Let t = -5 - -7. Calculate the least common multiple of x(-4) and t.
22
Let m(g) = -3*g**2 + 15*g - 3. Let b be m(5). Find the common denominator of ((-33)/(-48))/(1/28) and 30/20*(b/(-324) - 0).
72
Suppose 83*k = -5*k - 1311 + 9583. Calculate the smallest common multiple of k and 21.
1974
Suppose 11*i - 13*i = -5*o + 856, 0 = -17*o - 5*i + 2816. What is the least common multiple of o and 280?
840
Let o = 1048499/46 - 22795. Let s = -16306 + 326037/20. What is the common denominator of s and o?
460
Suppose 4*h + 0*t - 3*t = 17, 0 = -3*h - 3*t + 39. Suppose 0 = -5*c - 20, 3*c + 12 + 28 = r. What is the smallest common multiple of r and h?
56
Let c be ((-1)/4)/((-3)/12). Let w = -1504 - -1514. Calculate the least common multiple of w and (c/3)/(3/9).
10
Let v(l) = -20*l**2 - 853*l + 396. What is the lowest common multiple of 665 and v(-43)?
665
Let g be 3/9*(1 + 2). Let k be ((-17)/(-2) - g)*-4. Find the common denominator of ((-14)/(-16))/((-6)/k) and 56/5.
40
Suppose -3*x - 9 = -2*s, -2*s + 3*s - 2*x - 5 = 0. Let a be (-9)/(-4)*36/s. Let r = a - 19. What is the least common multiple of 20 and r?
40
Find the common denominator of 11/215 and (-312)/2340 - (0 - (-18)/215).
645
Let y(u) be the first derivative of -u**4/4 + 4*u**3/3 + 5*u**2/2 - 10*u - 1. Suppose -9*i + 112 = 19*i. Calculate the lowest common multiple of y(i) and 24.
120
Let x be (-2 - (-30997)/16710) + 26/195. Let l = 16849/83550 - x. Calculate the common denominator of l and -11/45.
225
Let f(q) = q**3 + 6*q**2 - 12*q + 1. Let m be f(-9). Let d = 179 + m. Calculate the smallest common multiple of 3 and d.
45
Suppose 55*y - 2619 = 2221. What is the lowest common multiple of 198 and y?
792
Suppose -8 = 2*p, -304 = 115*f - 113*f + p. Let q = f - -244. Calculate the smallest common multiple of 9 and q.
846
Suppose -r = 5*i - 2 - 