)/(-24).
4
What is the least common multiple of 1485 and -265*52/(-20) + -14?
7425
Suppose 2*d - 49 = 13. Let i(x) = -x**3 + 6*x**2 + 8*x - 5. Let m be i(7). Suppose m*u = 15 - 7. What is the least common multiple of u and d?
124
Suppose -11*b + 10458 = 2230. What is the lowest common multiple of 14 and b?
5236
Let u be ((-2)/(-5))/(5/25). Calculate the common denominator of 4/(-8) + (-36)/(-10) - 519/(-2076) and (-395)/50 - (1 - u).
20
Suppose -8*u = -5*u - 90. Find the common denominator of (-24)/(-208)*178/u and 55/16.
1040
Calculate the common denominator of (-70)/(-10) - (-2022)/(-252) and 45/49.
294
Let k be (-7626)/45 - (-96)/(-16). Let q = k + 175. Find the common denominator of q and 58/9.
45
Suppose 4*d + 5*g - 572 = 0, 3*d - 4*g - 106 - 292 = 0. Suppose -l + d = l. Suppose 40 = 70*v - l*v. What is the lowest common multiple of v and 12?
120
Suppose -5*y + 4*b = -11140, -3*b = -y + 1070 + 1147. What is the smallest common multiple of y and 1023?
24552
Let p = 320737/27 - 11877. Calculate the common denominator of p and -167/660.
5940
Suppose -y + 3*u + 52 = 0, -y + 3*u = 5*u - 27. Let p = 63 - y. Suppose -x + 30 = -2*q, 7*x - 4*x - 80 = 4*q. Calculate the smallest common multiple of x and p.
260
Suppose 41398 = -45*i + 41758. Calculate the smallest common multiple of (5/2 - 1)*48 and i.
72
Let j = 2 - -7. Suppose 99 = 1858*g - 1849*g. What is the lowest common multiple of g and j?
99
Let r = 5338 - 3521. Suppose 51*m - r = -32. What is the least common multiple of m and 7?
35
Let i(t) = -2*t + 6. Let p be i(6). Let m = -12/49 + 6197/294. Find the common denominator of 3/p + 9/10 and m.
30
Suppose -26349 - 12051 = -8*j. Find the common denominator of 11/8 and (-2)/8 + 13008/j.
200
Let k = -37710 - -37864. Suppose 4*p - 8 - 8 = -3*w, 2*w + 4*p - 8 = 0. Calculate the lowest common multiple of w and k.
616
Suppose 4*s - 2 = -m, -m - 3*s - 2*s = -1. Calculate the common denominator of (1/(-5))/((432/410)/m) and -103/54.
108
Let d be 6/(-4)*(44/3 + -14). What is the common denominator of (-131)/4*2/(-9) and d/7 + (-1 - 685/252)?
36
Let b = -72 - -108. Calculate the lowest common multiple of (-2 - (-2 + 1))*(-8)/7*7 and b.
72
Suppose 5*c - 5*u - 30 = 0, 5*c - 3*u = -2*u + 38. Let f be c/(16/18870) - -5. Let r = 94301/10 - f. Find the common denominator of 3/7 and r.
70
Suppose -57*k = -54*k - 150. Suppose -4*z - 2*v + 86 = 0, -2 = 2*z - 5*v - 51. What is the lowest common multiple of z and k?
550
Let b be (-6)/(-10) + 729/135. Let s = 41323/12 - 3447. Calculate the common denominator of -5*(-190)/225 - b and s.
36
Let l = 14657 + -13861. Calculate the least common multiple of l and 3184.
3184
Let p be ((-2108)/6)/((5/(-150))/((-13)/(-52))). Let v be 143205/(-54) + 4/(-18). Let w = v + p. What is the common denominator of w and 21/5?
30
Let t = 9 - 2. Let b be 3 - (-4 - (-2 + 9)). Suppose -3*j + b = -j. Calculate the smallest common multiple of j and t.
7
Calculate the smallest common multiple of 1813 and -2 - (287/(-4) + 0) - 303/(-1212).
18130
Let l = -8680 - -8715. Calculate the smallest common multiple of l and 45.
315
Suppose -56*h + 448771 = -119405. What is the least common multiple of h and 18?
30438
Find the common denominator of (-805)/(-1800) - (10 - 528/54) and ((-24)/16)/(72/58).
120
Let q(i) = 263*i - 200. Let l be q(-16). Let v = -39625/9 - l. Calculate the common denominator of v and 56/9.
9
Let s(q) = -5*q**2 + 5*q - 2. Let n be s(3). Let v = 46 + n. Let b = -5888 + 5890. What is the smallest common multiple of b and v?
14
Let c = 480 + -440. What is the common denominator of -5*20/25 + 69/c and 111/40?
40
Let v = 4 + 5. Suppose -6*u - 45*u = -23*u - 896. Calculate the lowest common multiple of v and u.
288
Let n = 6258659/86 + -72774. Calculate the common denominator of (2/(-54))/(-3 + (-4076)/(-1356)) and n.
774
Let j = 8 + 0. Let m(l) = -10 + 16*l - 18*l - 8. What is the lowest common multiple of m(-14) and j?
40
Suppose -13*u + 353 + 349 = 0. Suppose -23*a = 5*a - 252. What is the least common multiple of a and u?
54
Let r(k) = -k - 29. Let z be r(-5). Find the common denominator of 103/72 and (-228)/(-243) - z/(-36).
648
Let g = -23463 + 24649. What is the lowest common multiple of 14 and g?
8302
Let f = -4 + 7. Suppose 0 = 27*o - 45*o + 2736. Let h = o + -121. What is the lowest common multiple of f and h?
93
What is the common denominator of 107/1224 and (340/120)/(18 - 23)?
6120
Calculate the common denominator of (-26)/(-14) - 175/45*(-81)/(-135) and 53/5761.
17283
Let h = 1079584891/2036 + -530248. Find the common denominator of h and 47/20.
10180
Let g(y) = 2*y**3 - 22*y**2 + 6*y - 62. Suppose -3*p + 17 = -16. What is the lowest common multiple of g(p) and 28?
28
Let p = -2135 + 2147. Calculate the smallest common multiple of p and 60.
60
Let f = 504 + -472. Calculate the common denominator of 61/40 and -1 + 61/f + 59/(-236).
160
Let y(b) = b**2 - 20*b + 63. Let i be y(18). What is the common denominator of 56/9 and 3 + (-39)/i + 3?
9
Suppose 0 = 2*r - 5*g - 200, -3*r - 4*g = -7*g - 282. What is the smallest common multiple of 70 and r?
630
Suppose -9*l = -135*l + 25956. What is the least common multiple of l and 5?
1030
Let w = -7052 + 70443/10. Suppose 2*x = -599 + 207. What is the common denominator of w and (-6)/10 - x/(-90)?
90
Let s = 17058 + -2473421/145. Find the common denominator of s and -61/58.
290
Suppose 0 = -2*s - 3*r - 5, 2*s = -22*r + 24*r + 30. What is the lowest common multiple of s and 3104?
3104
Suppose -3*j + 40 = 2*h, 5*h - 12 = 5*j - 37. What is the least common multiple of ((-38)/95)/(1 + 41/(-40)) and j?
80
Let n(o) = 10*o. Let q be n(-3). Suppose 13*s - d + 101 = 16*s, 57 = s + 5*d. Let i = q + s. Calculate the least common multiple of i and 11.
22
Let v(t) be the second derivative of -2*t**3/3 - 29*t**2/2 + 30*t. Let q be v(-7). What is the common denominator of -65/4 and (q - (-2)/(-4))*(-480)/(-540)?
12
Suppose -6*l + 29 + 13 = 0. Suppose 9*x = l*x + 16. Calculate the smallest common multiple of 5 and (-60)/x*(4/12 - 3).
20
Let o = 266 - 90. Let q = -400 - -1. Let y = q + 411. What is the lowest common multiple of y and o?
528
Let m(p) be the second derivative of p**5/10 - p**4/4 + p**3 - 5*p**2/2 - 13*p + 4. What is the smallest common multiple of m(3) and 20?
40
Let d be (3 + 69/(-36))/(4/17602). Let w = d + -4766. Let z = 109807/15 - 7325. Find the common denominator of z and w.
120
Let v = -60 + 62. Calculate the common denominator of 9 + (-364)/(-21) - v/2 and 63/20.
60
Let q(u) = -u**3 - 18*u**2 - 18*u - 14. Let h be q(-17). Let z(a) = -4 + 7 + 31*a - 1 - h. Calculate the smallest common multiple of 6 and z(1).
30
Let x = 3896 + -434. Calculate the smallest common multiple of 24 and x.
13848
Let w be ((-6)/39 - 188/130)*-20. Suppose 2*h + 5*x = -32 - w, -4*x = -3*h - 73. Let i = 45 + h. Calculate the least common multiple of i and 10.
90
Let b(v) = -4*v**3 - v**2 - 2*v - 1. Let l be b(-1). Suppose -l*s - 5*s - 126 = 0. Calculate the common denominator of 62/84*-3 + (-4)/s and 19/16.
112
Suppose -517*o - 1869 = -520*o - 4*q, 3*o + 5*q = 1875. Calculate the least common multiple of o and 246.
1230
Let y = 8190 - 16971/2. Let p = y + 278. Find the common denominator of p and (-4)/(-12) - 105/6.
6
Suppose -47*j + 5 = -48*j, -3*v - 4*j + 16 = 0. Calculate the least common multiple of v and 3243.
12972
Calculate the common denominator of -53/2349 and (-28 - (-1579916)/56160) + 2/5.
18792
Suppose 0 = 3*o + 2*o + 3*x - 435, -4*o + 370 = -2*x. Suppose 11*l - 12*l = 12*l - 520. Calculate the lowest common multiple of o and l.
360
Suppose 178*g + 4092 = 181*g. Let l = -37/3 - -119/6. Calculate the common denominator of g/(-55) + 2/15 and l.
6
Let m(g) = -g**3 - 8*g**2 - 5*g + 8. Let b = -3578 - -3581. Calculate the lowest common multiple of m(-8) and b.
48
Let l = 6549 + -6109. What is the smallest common multiple of 72 and l?
3960
Let y(q) = 4*q - 33. Let g(u) = u - 11. Let b(v) = -8*g(v) + 3*y(v). Let s be b(-14). Let p = -34 - s. Calculate the lowest common multiple of 6 and p.
66
Suppose 21*b - 272 = 253. Find the common denominator of -127/12 and ((-22)/(-100))/(30/b).
60
What is the lowest common multiple of 4/(-18) + (-108446)/(-387) and 420?
840
Let u(l) = -l**2 + 6*l + 19. Le