 p(q) = q**3 + 6*q**2 - 22*q - 81. Let j be p(-7). Suppose -j*f - 837 = -3957. What is the smallest common multiple of 25 and f?
650
Let o be 1713 - (-5)/((-10)/(-4)). Let r = o + -24091/14. What is the common denominator of r and -91/62?
434
Let l = 1414913/50 + -28300. Calculate the common denominator of l and -6 + 4 + (-47)/(-25).
50
Let g = -2171/330 + -4/33. Suppose 6 = -0*p - p. Calculate the common denominator of 4/(-6) - p/8 and g.
60
Suppose 13*z - 8*z + 140 = 0. What is the smallest common multiple of 39 and ((-105)/z)/((-9)/(-60)) + -4?
273
Let g = -4630/3 - -1528. Suppose -33*t + 27*t = 0. Find the common denominator of g and t - ((-3)/(-36)*2 + -10).
6
Suppose -10 = -c + 3*d, -4*c + 14*d = 10*d - 16. Let f(z) be the first derivative of -9*z**2/2 - 2*z - 17. What is the smallest common multiple of f(-2) and c?
16
Suppose 5*f = -2*m + 55, 4*m - 3*f - 6 = 39. What is the smallest common multiple of m and 10?
30
Let d = -409977 + 287803691/702. What is the common denominator of d and -173/780?
7020
Let c = 1424/5 - 34261/120. Let a = -2/8481 - 125329/5654. Find the common denominator of c and a.
24
Let u(y) = -606*y - 2476. What is the lowest common multiple of 11 and u(-5)?
6094
Suppose -6353 = -133*o + 563. Calculate the least common multiple of 532 and o.
6916
Let g(c) = 3*c**3 + 2*c**2 - c. Let o be g(1). Suppose -2*w - 27 = l + 2*l, 2*w = -o*l - 24. Find the common denominator of 4/w + (-286)/(-72) and -49/9.
36
Suppose -2*p + 39 = -3. Suppose 31 = -p*g + 451. Calculate the smallest common multiple of 1 and g.
20
Let n = -420762117256345923/180964069004977720 + 1/2582102462830. Let d = 2/17521 + n. Calculate the common denominator of d and 67/24.
120
Let o(y) = y**3 + 8*y**2 - y - 7. Suppose -4*s = 16, s - 52 = 5*z + 4*s. Let l be o(z). Calculate the common denominator of (4/(-18))/((8 + -7)/l) and -29/6.
18
What is the smallest common multiple of 1350 and (430 - 390) + 2*7?
1350
Let w = -235 + 168. Let b = 67 + w. Suppose 2*l + 2*c + 2 = b, 6 + 5 = 4*l - c. Calculate the smallest common multiple of l and 8.
8
Let i(t) = -48*t - 18. Let w be i(2). Calculate the common denominator of ((-14)/220)/((-19)/w) and 31/65.
715
Let i = 3127 - 262585/84. Find the common denominator of (-505)/(-8)*8/(-20) and i.
84
Find the common denominator of 6/(-176)*129649/(-6552) - (-2)/(-3) and 51/2.
4928
Calculate the common denominator of 19/17 and 30/(-40) + (-77836)/(-116688).
663
Suppose 3*t - 24*t = 1263 - 2019. What is the smallest common multiple of t and 660?
1980
Calculate the common denominator of (10355/456 - 9) + -10 and -71/2106.
8424
Suppose 4*a - 3*a + 3*w + 7 = 0, 4*w + 4 = -4*a. Let v be 620/22 + (-74)/407. Suppose -6*k = -13*k + v. What is the smallest common multiple of k and a?
4
Find the common denominator of (-462)/(-20)*(-30)/(-54) and (-30272)/(-9600) + (-4)/3.
150
Let p = -2193/19900 + 8/199. Find the common denominator of p and 7/60.
300
Let y = -862 - -914. What is the least common multiple of 396 and y?
5148
Let x = 60 + -61. Find the common denominator of 37/4 and (-2)/25*(x + (-567)/28).
20
Let t = -2770927/4181184 + 1/66368. Find the common denominator of t and -33/232.
14616
Let u = -64 - -63. Find the common denominator of (-9 - (-3954)/288) + (u - 3) and -67/30.
240
Calculate the common denominator of 91/810 and ((-478)/240 + 2)*((-1395)/216)/(-5).
25920
Suppose -8*i - 72 = -0*i. Let k be (-50)/6*i/3 + 0. Suppose -k*y + 12 = -23*y. What is the smallest common multiple of y and 10?
30
Let b = -58 - -54. What is the common denominator of (b/20)/(-3*(-2)/(-154)) and -59/24?
120
Suppose 5*v = 5 - 30, -5*v + 40 = m. Suppose 0 = 3*t + 2*x - 25, 10 = -232*t + 234*t - 2*x. What is the smallest common multiple of t and m?
455
Suppose -5*r = 3*r + 2872. Let g = r - -705/2. What is the common denominator of 89/22 and g?
22
Let k be (3 - 3) + 3008/(-900). Let l = k + -16/75. Calculate the common denominator of l and -29/15.
45
Let y = -25 - -30. Suppose -8 = 2*b, 2*w + y*b + 24 = 6*w. Calculate the lowest common multiple of w and (-2 - -3)*-1 - -8.
7
Let c = 4453 - 1994943/448. Let r = -20577/13888 - c. What is the common denominator of -9/2 and r?
62
Let l(a) = 4*a - 1. Let k be l(-6). Let o be ((-60)/k)/(3/(-15)). What is the smallest common multiple of -3*(7/(-4) - (-3)/o) and 6?
6
What is the common denominator of ((-7774767)/(-24990))/39 - 8 and 139/770?
13090
Let s = -113093989 - -158331596957/1400. Let g = s + 17/350. Find the common denominator of 1 + (-3 - 105/(-36)) and g.
24
Let g = 457/65 + -279/26. Find the common denominator of 22/5 and g.
10
Let c(g) = -491*g - 9336. Calculate the least common multiple of c(-20) and 836.
9196
Let h = 30574 + -1498072/49. Let y = -682/441 + h. What is the common denominator of ((-3)/(18/(-5)))/1 and y?
18
Suppose 0 = 4*k - 20, -5*y + k = -0*k - 85. Let a(c) = c**2 - 49*c + 501. Calculate the smallest common multiple of a(12) and y.
342
Suppose -5*a = -4*q - 14834, 0 = -3*a - 2*q - 5591 + 14509. What is the lowest common multiple of 330 and a?
2970
Suppose 7*p - 9*p + 3*o - 10465 = 0, 5*o = 25. Let d = 78346/15 + p. What is the common denominator of d and 66/65?
195
Let i = 37/2420 - 469841/30571860. Let x = i - 846343/859044. What is the common denominator of x and -49/22?
748
Let x(t) = 2*t**2 + 4*t - 6. Let b(d) = 6*d**2 - 3*d - 1. Let o be b(4). Let z = o + -63. Calculate the smallest common multiple of x(3) and z.
120
Let l(t) = -4 - 24*t + t**2 + 50 + 36 + 0*t**2. What is the smallest common multiple of 29 and l(4)?
58
Calculate the common denominator of ((-16)/992)/((-4 + 3)*9/(-549)) and 19/1271.
2542
Let l = 17389/1065 + 2/355. Let x = -28861390/1023 + 653365/31. Let d = -7135 - x. Find the common denominator of l and d.
33
Suppose 0 = 22*r - 3670 + 1382. What is the lowest common multiple of 88 and r?
1144
Suppose 0 = -b + 3*b - 6, 0 = -3*z + 2*b + 14205. Suppose 0 = -z*i + 4730*i + 504. Calculate the smallest common multiple of 48 and i.
144
Let q = 94811/18 + -5272. What is the common denominator of q and 15/151?
2718
Let m = -987979/256 + 3859. Find the common denominator of m and -43/29.
7424
Let r = -171419232346 + 67882097381147/396. Let h = r + -205485. What is the common denominator of 27/22 and h?
396
Let z = -2651 + 3597. Let o(r) = -r - 1. Calculate the least common multiple of o(-3) and z.
946
Suppose 4079 = 15*i + 179. Suppose 0 = 5*p + 5*u + i, -2*p = -0*p - u + 113. What is the smallest common multiple of ((-396)/p)/(3/10) and 6?
24
Let m(j) = 21*j + 42. What is the smallest common multiple of 315 and m(-1)?
315
Let h = 74 + -60. Let y be 8/h - (-24588)/(-42882). Let m = y + -11199/16336. Find the common denominator of m and 103/72.
144
Let w = -2911625338/249 - -11693294. Let i = w - 18/83. Find the common denominator of i and (-2)/(-6 - (-644)/114).
30
Suppose 3*s = v + 412 + 214, -4*s - 5*v + 841 = 0. Suppose -7239 = -257*o + 130*o. What is the least common multiple of s and o?
627
Let c = -36499/2 + 638798/35. Calculate the common denominator of -1/385 and c.
770
Let p be 1/(-1) + ((-3)/(-3))/1. Suppose p = 2*m - 0*m - 6. Suppose -m*g = a + 2, -3*g = 4*a - 15 - 13. Calculate the least common multiple of a and 8.
40
Let v be (2 - (1 - -4403)) + 3 + -7. Let q = 92492/21 + v. Calculate the common denominator of q and 37/27.
189
Suppose 3*x + 4*z + 0 = -3, -4*z = 12. Let w = -25 + -7. Let c = -23 - w. Calculate the smallest common multiple of x and c.
9
Suppose 0 = -147*n + 217*n - 2520. Suppose -4*j - 20 = -2*i, 4*i + i + 5*j - 5 = 0. Calculate the least common multiple of i and n.
36
Suppose -4*f = -4*l - 4, 0 = 3*f + 2*f - 3*l - 3. Let i = 7 + f. Suppose -3*d - 25 - i = -4*a, 3*a = -4*d + 24. Calculate the least common multiple of 27 and a.
216
Let a be -2 - -388*1/5. Let v be 102/272 + 23054/240. Let l = v - a. Find the common denominator of 26/7 and l.
42
Let n(q) = q**3 + 74*q**2 + 1369*q + 314. Calculate the smallest common multiple of (-2 - 0)/(3/(-39)) and n(-34).
104
Suppose 26*d - 25 = 24*d - 5*q, 0 = 3*d + 4*q - 48. Suppose -o - p = 0, o = -3*o - 5*p + 1. Calculate the smallest common multiple of d and o*(-5 - -4)*50.
100
Calculate the common denominator of (6*9/108)/(885/(-18)) and -29/40.
2360
Let y be (-56)/(-10) - (-27)/(-45). Suppose -