f 325 and p.
3575
Let r(u) = -u**3 - 5*u**2 + 21*u + 12. Let n be r(-8). Suppose n*b = 34*b + 2. What is the least common multiple of b and 2?
2
Suppose v - 4*j - 1 = 25, -4*v - 3*j = 10. Let p(w) be the third derivative of -w**4/2 - w**3/6 + 3*w**2. Calculate the smallest common multiple of v and p(-1).
22
Suppose 6*w = 216 + 414. Suppose -3*y - w = -5*o, 3*o - y + 6*y - 29 = 0. Calculate the smallest common multiple of 4 and o.
36
Let d be 30/(-1719037)*-229205 - (35 + -31). Let y = -111972913129/51571110 + d. Let o = y + 2171. Find the common denominator of -11/30 and o.
30
Suppose -2*i - 20*p + 24*p = -128, -2*p = -8. Let y(s) = 2*s**2 - 3*s + 3. Calculate the lowest common multiple of y(3) and i.
72
Suppose y - 144 = -2*y. Suppose 50*s + 1120 = 78*s. What is the smallest common multiple of s and y?
240
Suppose 310 = -3*t + 4*p, 138 = -3*t - 2*p - 184. What is the common denominator of (t/112 - -1)*(-265)/15 and -25/22?
616
Let s = 17971/12 - 1499. What is the common denominator of s and 73/570?
1140
Let q = 98 + -98. Suppose q = -3*r + 12, 5*k - 7*r - 180 = -2*r. What is the lowest common multiple of 30 and k?
120
Calculate the common denominator of 127/192 and (27/(-1792))/(73/(-292)).
1344
Suppose 0 = i - 5*d - 21, i - 24 + 7 = 4*d. Let f = -173 - -192. Suppose -23 - f = -14*t. Calculate the smallest common multiple of t and i.
3
Let v(j) = -4*j + 134. Let s be v(33). Suppose s*z - m = 41, 7*z - 87 = 3*z + 3*m. Calculate the lowest common multiple of 54 and z.
54
Let u(a) = 8*a**3 + 5*a**2 - a - 3. Let l = 24899 - 24872. Calculate the least common multiple of l and u(3).
2295
Suppose 5*f = 5*s + 20, s - 13 = -4*f + 2*s. Find the common denominator of 4 - (f + (-327)/(-45)) and ((-6)/36)/(2/(-52)).
15
Let q = 24152/11 - 2193. What is the common denominator of q and 6 + ((-3)/(-21) - 62032/672)*(-3)/(-21)?
66
Suppose 4*w = -19*w - 2990. Let q = w - -148. What is the smallest common multiple of 72 and q?
72
Let x = 6 + 15. Suppose -n + x = 1328. Let u = n - -14325/11. Find the common denominator of -57/2 and u.
22
Let d be 5066*((-24)/40)/((-3)/15). Let a = 152101/10 - d. Calculate the common denominator of -10 and a.
10
Let l = 3 - -87. Let b be (-6 + 2)*l/4. Let h = 118 + b. What is the smallest common multiple of 12 and h?
84
Let w(b) = -b**3 + 13*b**2 + 15*b + 13. Let p be 36/2 - ((-6)/3 - -6). Let t(l) = 5*l**2 + 2*l - 1. What is the lowest common multiple of w(p) and t(1)?
54
Suppose 0 = -n + 376 + 6284. Let a be ((-4)/18)/(-1) + 20842/n. Let g = a - -48/185. Calculate the common denominator of g and -99/8.
72
Suppose 0 = 11*s - 36 + 366. Calculate the common denominator of ((-53)/s)/((-180)/25 - -6) and -109/30.
180
Let a(z) = 6*z**3 - 2*z**2 + 11*z - 18. What is the smallest common multiple of a(2) and 110?
220
Let c be 614/10 - (-6 - (-160)/25). Let a be (3 - 4)*(c + 0). Let y = -24 - a. What is the least common multiple of 8 and y?
296
Let v = 888095/120186 - 3/6677. Find the common denominator of v and 19/60.
180
Let x(a) = -a**3 + 9*a**2 + 11*a - 5. Let t be x(10). Let l = -1123/264 + 1/264. Calculate the common denominator of (603/(-45))/(2/t) and l.
4
Let w be -44*((-6)/(-14))/(4/14). Calculate the common denominator of -43/5 and -1 - (-2 + w/(-80)).
40
Let y = 16454381/2250497301 - -2/498891. Let k = 458693/811980 + y. What is the common denominator of -65/4 and k?
180
Let y(o) = -513*o + 4353. What is the smallest common multiple of y(8) and 1416?
117528
Let s = 10217 - 4861. Calculate the smallest common multiple of 206 and s.
5356
Let u(b) = -2*b**2 - 13*b - 4. Let v = -6516 + 6527. What is the smallest common multiple of u(-5) and v?
11
Suppose -4*c - 42 = -2*j, -4*c - 60 - 3 = -3*j. Suppose j + 3 = 12*v. What is the lowest common multiple of v and 136?
136
Let p = 7789/2 - 155751/40. What is the common denominator of p and (-12)/(-30) - 8954/(-740)?
40
Let u = 10902 - 305197/28. Calculate the common denominator of -59/126 and u.
252
Let d = -100 + 130. Suppose -4*m + 4 = -2*l, 2*l = -3*m + d - 6. What is the smallest common multiple of l and 20?
60
Suppose -3*i + 39 = 3*l, -l + 2*i + 0 = -7. Calculate the lowest common multiple of l and 144.
1584
Suppose -3*f + 14 + 4 = 0. Suppose -3*c + 3*u - 332 + 95 = 0, -2*c = 4*u + 140. What is the smallest common multiple of 20 and (-24)/36 - (0 + c/f)?
60
Find the common denominator of 39/430 and ((-61)/(-32))/((-315)/(-84)).
5160
Suppose 2*q = 7*q - 80. Calculate the lowest common multiple of q and 6 + -6 + (-1602)/297*6*(-22)/4.
1424
Let p = 1744 - 3163. Calculate the common denominator of 4858/980 + 2/5 and p/(-42) + (-4)/14.
14
Let i(p) = p**2 + 30*p - 44. Let o be i(22). Calculate the common denominator of o/40 + (0 - 2) and -71/10.
10
Let c = -2407 - -2425. Calculate the least common multiple of c and ((-28)/(-3))/(3/9).
252
Let f be (-6 + 4)*1/(-2). Let a = f + 3. Suppose 0 = -a*l + 9*l - 100. What is the least common multiple of l and 16?
80
Let v(j) = -28*j**3 - j**2 + 3*j - 2. Let n be v(1). What is the lowest common multiple of 30 and (48/(-56))/(4/n)?
30
Suppose k - 21 - 343 = 41. What is the least common multiple of k and 297?
4455
Let b = -140222168160187/21348 - -6568398357. Let k = b + -1/593. What is the common denominator of k and 59/18?
36
Let t be 20/60 - 11552/6*-5. Let p be 86602/9 + 3/2. Let b = t - p. Calculate the common denominator of 56/15 and b.
90
Let z = 177/67 - -3202/335. What is the common denominator of 2/9 + (-2509)/(-4680) and z?
120
Suppose 0 = -u - 165 + 427. Let i = -110 + u. Suppose 3*p - 50 = -i. What is the common denominator of 37/12 and p?
12
Let l be 179/(-4)*2*2. Let p = l + 115. Calculate the common denominator of ((-8)/18)/(p/48) and -61/2.
6
Let v = 80033/4 + -7923125/396. What is the common denominator of 55/36 and v?
396
Let x = 2533660397/14921 - 169805. Let y = x + -206551355/89526. Let z = 2321 + y. Calculate the common denominator of z and 19/24.
24
Let b = -101/138 - -3/46. What is the common denominator of 1/(8 - 6224/744) and b?
102
Let x be 18/((-3)/(-32)*2). Let l = 141 - x. Let v = 32 - 8. What is the lowest common multiple of l and v?
360
Calculate the least common multiple of 150 and 400/2*(-90)/(-40).
450
Let q be (-30)/9*(2 - -1). Calculate the common denominator of 2/3*90/(-44) and (-21)/6*(-26)/q.
110
Let p = -533 - -533. Suppose -48*z + 57*z - 1620 = p. Calculate the smallest common multiple of 18 and z.
180
Let o(k) = -43*k + 1. Let y be o(1). Let h = 135 + y. What is the lowest common multiple of h and 1?
93
Calculate the lowest common multiple of 3 and 466587/189 + 84/(-49).
7401
Suppose -7*l + 5*l - 56 = 0. What is the common denominator of (-195)/50 + l/7 and (-1)/(-4) + (-26)/(-72)?
90
Let i = 2710 + -3101. Let h be 10/(-4)*(-933)/(-6). Let r = i - h. What is the common denominator of -99/8 and r?
8
Let r(f) = 4*f**2 + 620*f + 1294. Calculate the lowest common multiple of r(-153) and -2 - 5/(5/(-142)).
140
Let r = -258 + 296. What is the least common multiple of 40 and (-2*r)/(6 - (-192)/(-30))?
760
Suppose -3*w + 10 + 14 = 0. Let n = w - 3. Suppose -2*h - 4*o + 80 = -0*h, -5*o - 80 = -2*h. Calculate the least common multiple of n and h.
40
Let j be (-405)/216 - (2 - (-30)/(-16)). Let c(u) = 8*u + 18. Let w = 3 + -1. Calculate the lowest common multiple of c(j) and w.
2
Let b be (-4)/8*7*2 + 3. Find the common denominator of 31131/(-23166) + b/22 and 7/27.
702
Suppose -2*u - 2*v = -2390, 3*u + 4*v - 3584 = -0*u. Calculate the smallest common multiple of 20 and u.
5980
Find the common denominator of 1 - (-8)/(-10) - (-377)/315 and (164/252)/(9/27).
63
Let k = -1433833/3354 - -186/559. Let n = 420 + k. What is the common denominator of -43/14 and n?
42
Let i = 3767/110 + -561955/16412. Calculate the common denominator of -21/16 and i.
29840
Let u = 2785/6 - 463. Suppose -r = -5*i + 51, 3*i - 2*r = r + 33. What is the common denominator of u and (-6 - (-155)/40)*i?
12
Let n be ((-15)/4)/(((-1323)/129934)/(-3)). Let x = -1105 - n. Find the common denominator of 19/28 and x.
84
Suppose 2*f + 2688 = 2*o - f, 0 = 4*o - 3*f - 5376. What is the common denominator of -19/3 and (-272)/o + 2/7?
12
Let g(u) = u**3 + 7*u**2 - 10*u - 10. What is the least common multiple of g(-8) and -10*1*126/(-35)?
36
Let b(z) = z*