 = -t**3 + 4*t**2 + t + 8. Calculate the smallest common multiple of 150 and n(v).
300
Suppose -4*k + 64 = -4*p, -4*p = -2*p - 8. Let h be 4/18 + (-110)/9. What is the lowest common multiple of k and (h/(-1))/(-3 + 5)?
60
Let r(c) = -130*c - 3. Suppose -2*v + 3*v - 4 = -2*k, 3*k - 3*v = 6. Let i be r(k). What is the common denominator of 29/6 and (-6)/(-24) + i/12?
6
Let w be 1684/(-10) + 6 + 28/(-5). Let j = -27 - w. Calculate the lowest common multiple of 11 and j.
1551
Let w be 1/4 + 15/4. Calculate the common denominator of (-1)/w - (-70)/(-648) and (-6615)/54*(-2)/30.
162
Let n(a) = 2*a**2 + 16*a + 27. Let v be n(-7). Suppose 4*z + 19 = -2*x + 7, -2*x = -z - v. What is the lowest common multiple of 48 and x?
48
Suppose -2*p + 5 = 7, -3*s = -2*p - 137. What is the common denominator of 0 + ((-60)/s - 458/(-96)) and 87/16?
16
Let m be (-9)/(-15) + (-39)/15. Let n = -243 + 255. Calculate the least common multiple of 18 and n/(-4)*(120/9)/m.
180
Let i = -1691 + 16959/10. What is the common denominator of ((-219)/4)/(45/6) and i?
10
What is the smallest common multiple of 496 and (3680/(-69))/(6/(-9))?
2480
Let b = -1349 + 1454. What is the least common multiple of b and 7?
105
Let n = -15/4858 - 95267/2973096. What is the common denominator of n and 49/3264?
9792
Suppose w = -2*h - 3, -w + 2*h = -2*h - 15. Suppose 3*b - 6531 + 17430 = -w*n, 0 = -n + 2. Let c = b + 58123/16. What is the common denominator of 49/18 and c?
144
What is the common denominator of 14/(14994/4275) - (-1 - -5) and -27/119?
119
Let q = 22467 - 20735. What is the least common multiple of q and 3897?
15588
Let p(s) = 126*s**2 + 40*s - 24. Calculate the smallest common multiple of 16 and p(-4).
3664
Let v(c) = -461*c - 467. Calculate the smallest common multiple of 8 and v(-3).
1832
Let d = -1626 - -1629. Calculate the lowest common multiple of d and 7.
21
Suppose -17*q - 938 = -1074. What is the smallest common multiple of 486 and q?
1944
Let w = -8201004/11 + 743855. Let y = -1692 - w. Calculate the common denominator of (-70)/22 + 0/(-3) and y.
11
Let l = -40/2051 - -88709/447118. What is the common denominator of -6 - (-3 - (-1904)/(-352)) and l?
2398
Let j(d) = -2*d**3 - 15*d**2 - 11*d + 45. What is the least common multiple of 402 and j(-6)?
402
Suppose -d + 2*d = -o + 38, 5*d = 2*o + 190. Let g = 28918 - 28904. What is the smallest common multiple of d and g?
266
Suppose -2*z - 29 = -2*x - z, -3*z + 9 = 0. Suppose -2 - x = -6*u. Suppose -5*v = 15, 2*l + 96 = 5*l - 2*v. Calculate the smallest common multiple of l and u.
30
Let p(g) = g**3 - 19*g**2 + 7*g - 109. Calculate the lowest common multiple of 24 and p(19).
24
What is the lowest common multiple of 216 and ((-4131)/(-102))/((-2804)/704 - -4)?
2376
Suppose 82 = 38*h - 716. What is the common denominator of 1/268 and -1*h/98 - 1?
1876
Let v = -29988 + 29996. Calculate the smallest common multiple of v and 1516.
3032
Let h be (2/6)/(-7 - 110/75). Let a = h - 575/1524. What is the common denominator of 20/8*(-202)/190 and a?
228
Suppose 4*v - 1783 = 5*b, -3*v - 4*b + 1071 = -212. Calculate the lowest common multiple of v and 483.
9177
Let c = -2803 + 2831. Calculate the common denominator of 55/534 and c.
534
Let o = -1/8449 + 904063/168980. What is the common denominator of -1*(-869)/132 - (0 + 0) and o?
60
Suppose 5*p = 70*p - 104808 - 53727. Calculate the least common multiple of 63 and p.
17073
Let a be (-1411)/(-15) + 4/(-10). Let c = 1400 + -1506. Let x = c + a. Find the common denominator of x and -48/11.
33
Let d be 116/(-12)*9645/80. Let o = d + 1171. What is the common denominator of -117/20 and o?
80
Let n = 187930 + -133806197/712. Find the common denominator of n and -5/1246.
4984
Suppose -91*s - 97 = -96*s + 3. What is the smallest common multiple of 508 and s?
2540
Let y(r) = r**2 - 150*r + 2336. What is the least common multiple of 1025 and y(17)?
3075
Let z = 573906/59 - 9727. Find the common denominator of z and 77/28 - 4 - (-24 + 0).
236
Let y = 25607/10 - 2563. Find the common denominator of 93/22 and y.
110
Suppose 3*x = 3*q + 3, 4*x + 2*q - 26 = -x. Suppose 141 = x*l - 495. Calculate the smallest common multiple of l and 33.
1749
Suppose 0 = 3*k - b - 3194, 0 = 2*b + 79 - 87. What is the smallest common multiple of k and 82?
1066
Let o = -1025 + 1274. Calculate the least common multiple of o and 15.
1245
Let f = -660 + 1486. Let v = -33047/40 + f. Find the common denominator of 79/28 and v.
280
Let z(i) = 5*i**2 - 16*i - 32. Let u be z(-9). Let p = 587 - u. What is the least common multiple of 110 and p?
770
Let q = -7287/2132 - -2/1599. Calculate the common denominator of -61/4 and q.
12
Suppose -15*d - 86 = -1706. What is the common denominator of 29/45 and 92/d - (-7)/63?
135
Let c = -25634966/76609 + 32/5893. Let h = c + 105349/312. Calculate the common denominator of h and -1/72.
72
Suppose -975 = -804*i + 847*i - 32580. Calculate the least common multiple of 231 and i.
8085
Let m be 289168665/8320 - (-8)/(-52). Let u = -34755 + m. What is the common denominator of 5 + (164/80)/(-1) and u?
640
Let q be (-3)/(-6)*((-70)/(-2) + -1). Suppose 0 = -2*f - 4*n + 16, 2*f + 3*n = -2*n + q. Find the common denominator of -8/27 and (f/(-8))/((-270)/912).
135
Let w = -19133 - -3157004/165. What is the common denominator of (12/(-5))/(-4) + 4415/(-1650) and w?
330
Suppose -8 = 2*m, 0*m - 2*m + 36 = 4*t. Suppose -12*n = -t*n + i - 86, -86 = -n + 4*i. Calculate the smallest common multiple of 18 and n.
774
Let h(t) = -t**3 - 9*t**2 + 38*t + 18. Let n be h(-12). Calculate the least common multiple of 52 and 17/7 + n/14.
52
Calculate the common denominator of 337/(-15) + (4 - -5) + 10 and 47/3171.
15855
Suppose 0 = i + 2*r - 37, 5*r = -84*i + 79*i + 170. Calculate the least common multiple of 248 and i.
248
Let w = 28/5 - 1059/140. Let z = 345004 + -46920037/136. Let s = z - 74/17. What is the common denominator of s and w?
56
Let v = -1187 - -42691/36. What is the common denominator of 12/(-54) - 62/12 and v?
36
Let r be 1/((-515)/(-478))*5. Let h = -170493/36050 + r. Calculate the common denominator of -3/14 and h.
350
Suppose 6 = t + o - 3, 5*o = t + 15. Suppose 0 = t*p + 5*q - 45, p + q = 4*p - 27. Find the common denominator of 37*p/42 + (-3)/6 and 103/10.
70
Find the common denominator of (-2252)/120 + (3 - -10) and 163/1320.
1320
Find the common denominator of 67/120 and (-136)/(-2176) + (-854)/(-7200).
1800
Suppose -26 = -h - z - 14, -3*h + 3*z = -12. What is the lowest common multiple of h and 2904?
2904
Find the common denominator of (-2)/44*3*560/(-32) and 55/196.
2156
Let k(b) = 5*b + 4. Let j = -31290 + 31334. What is the lowest common multiple of k(4) and j?
264
Let w(r) = -19*r - 63. Let k be w(-9). Suppose -3*q + x - 25 = -k, -5*x + 5 = 0. Calculate the least common multiple of 4 and q.
28
Let l(f) = f**2 - 11*f + 26. Let p be l(4). Calculate the common denominator of 1 + ((-10)/(-35) - 509/(-154)) and (p - 0) + (-954)/(-192).
352
Suppose 5*o - 2*d = 33 + 15, -3*d + 4 = 2*o. Suppose v + 4*s = 12, 3*v - 2*s = s + 111. Calculate the lowest common multiple of v and o.
32
Suppose -4*r + 16 = -h, -3*h + 4*r - 8 = 2*r. Suppose -14*t + 10*t + 4 = 0. Calculate the smallest common multiple of (h - 39)/(-3) - 3 and t.
10
Suppose -4*k + 81 = 3*x + 9, -2*x + 37 = -k. What is the lowest common multiple of x and (-182)/(-49)*(-518)/(-481)?
20
Let f = -17847 + 17851. Calculate the common denominator of f and 157/798.
798
Let a be (9 - 182/21)/(1/84). Suppose -21*z - 7 + a = 0. Calculate the least common multiple of z and 24.
24
What is the least common multiple of 270 and ((-6)/13)/((-312)/8112)?
540
Let z(f) be the first derivative of 2*f**2 - 21*f + 1. Let o(a) = -75*a + 834. Let q be o(11). Calculate the least common multiple of z(q) and 33.
165
Let p(t) = 3*t**2 - 2*t + 1. Let l be p(1). Suppose 7*x - 4*x = -j + 12, -3*j = l*x - 15. What is the common denominator of (j/10)/(42/(-8)) and -39/7?
35
Suppose 10*k - 82762 + 1362 = -45*k. Calculate the lowest common multiple of 140 and k.
10360
Let w be (-2)/(2 - 24/10). Suppose -w*s + 1357 - 1332 = 0. Calculate the lowest common multiple of 71 and s.
355
Let f = -557 - -577. Let n = 124 - 69. Let k = n - 45. Calculate the least common multiple of f 