20.
240
Suppose 0 = -2*b - 3*i + 4, 2*b - b + 3*i = -1. Suppose 0 = -6*z + b*z + 20. Suppose 161*y - 167*y = -120. What is the lowest common multiple of y and z?
20
Let c = -129 + -66. Calculate the common denominator of (44/42)/(c/231 - -1) and -11/172.
1548
Suppose 0 = -2*s + s + 20. Let q(x) = 2*x**3 + x**2 + 3*x - 21. Let c be q(0). What is the least common multiple of (5 + c/(-9))*3 and s?
220
Suppose 3*l - 15 = 0, -8*r + 9*r - 2*l - 20 = 0. Let c = r + 12. Calculate the lowest common multiple of c and 12.
84
Let x(j) = 2*j**3 + 2*j**2 + 16*j - 16. Let m(s) = 285*s**2 - 1. What is the smallest common multiple of x(1) and m(-1)?
284
Let x be ((-88316)/20 - -7) + -7. Let t = -1458019/330 - x. What is the common denominator of 76/9 and t?
198
Let g = -433501/88490 + -10/8849. Let z = -1969393/88 - -22380. What is the common denominator of z and g?
440
What is the common denominator of 4641/(-756) - 3/(-36) and (1/(-114))/(18/(-504))?
342
Let g(m) = -2*m**2 - 55*m + 945. Let b be g(0). Suppose b = q + 62*q. What is the least common multiple of ((-3)/4)/(2/(-88)) and q?
165
Let i = -69 - -79. Suppose i*o + 171 = 29*o. Calculate the smallest common multiple of o and 21.
63
Suppose -9*j + 294 = 60. Suppose 66 = 4*l - j. Suppose 21*d - l*d = -28. Calculate the smallest common multiple of d and 2.
14
Let d = 10545 - 9405. What is the smallest common multiple of 19 and d?
1140
Suppose -3*s - 13*p + 12*p = -29, -40 = -4*s - p. Suppose 0 = 4*v, 5*f + 4*v - 476 + 91 = 0. Calculate the lowest common multiple of f and s.
77
Let o = -609942 - -2281183147/3740. Calculate the common denominator of -79/2040 and o.
22440
Let c(i) = 3 + 198*i**3 + 2*i + 7*i + 198*i**3 - 8*i**2 - 395*i**3. Let p = 61 - 673/11. What is the common denominator of c(7) and p?
11
Let d = 193345527974710510/380817 + -507712439242. Let c = d - 2/2907. Calculate the common denominator of c and -87/4.
524
Calculate the lowest common multiple of (120/(-75))/((-2)/(-185))*(1 + -19) and 9.
2664
Let t(i) = -19*i**3 + 2*i - 3. Let r be t(2). Let k = -149 - r. What is the smallest common multiple of (-6)/(-21) - (-124)/7 and k?
18
Let v be ((-18)/(-3))/((-2)/3). What is the lowest common multiple of 27 and (5 + -7)*(v - 3)?
216
Suppose 2*x = 10*x - 48. Suppose 5*v - 1310 = 520. Calculate the lowest common multiple of v and x.
366
Suppose -2043 = -3*a - 3*l + 6*l, l + 2703 = 4*a. Calculate the least common multiple of a and 14.
4718
Let t be (-2 - (-1)/2)*(-58)/(-29). Suppose 39*c + 1 = 40*c. What is the common denominator of c/t + 963/(-270) and 53/4?
20
Let z be 0 + 49 + -3 + (7 - 2). Let v = -49 + z. Let t(y) = 3*y**3 - 4*y**2 + 6*y - 6. Calculate the least common multiple of t(v) and 8.
56
Let n(h) = 3*h**2 - 100*h + 1744. What is the lowest common multiple of 804 and n(24)?
3216
Let q be (-1603)/14 - 18/12. Let p = q - -119. Calculate the smallest common multiple of 24 and p.
24
Let t = 3793 - 3274. Calculate the lowest common multiple of t and 30.
5190
Suppose -i = 4*u + 452, -4*u - 76 = 4*i + 364. Let c = -103 - u. Let j(m) = 2*m + 1. What is the least common multiple of j(c) and 11?
253
Let z be (56/(-16))/(-1) - 1/(-2). Suppose g = -g - z*i + 28, -4*i = 0. Calculate the smallest common multiple of 198 and g.
1386
Suppose -3*y = 2*q - 3066, -45*q - 1008 = -y - 41*q. Calculate the lowest common multiple of y and 14.
7140
Let t = 437311897/48784815 - 24560/21257. Let a = t - 4/459. What is the common denominator of 53/55 and a?
55
Let z = 2/59857 + 1239883/359142. Let m = -13012 + 273197/21. What is the common denominator of z and m?
42
Let d(r) be the first derivative of -8*r**2 - 12*r - 209. Let o(x) = x**3 + 6*x**2 - 2*x. What is the lowest common multiple of o(-6) and d(-3)?
36
Let s = -9977 + 3846. Let d be 5/(-2)*48973/(-20). Let i = d + s. Find the common denominator of -139/30 and i.
120
Let b = 1151/5 - 72589/315. Calculate the common denominator of -55/27 and b.
945
Suppose 4*q + 12 = j - 13, 0 = -3*q + 9. Suppose -s + 5*w + j = 0, -2*w = -5*s + w + 273. Let z = s + -51. Calculate the least common multiple of z and 4.
12
Let h = 4/326831 - 45432869/274538040. Find the common denominator of h and 31/30.
840
Let m = -85709/12 + 7155. Calculate the common denominator of 1/(-110)*45/(-2) and m.
132
Let l(g) = g**3 + g**2 - 175*g - 12. Calculate the least common multiple of l(-12) and 18.
504
Let v(n) = 9*n**2 - 27*n - 22. Let k be v(-6). What is the common denominator of -56/15 and k/(-42) - (12/21)/2?
15
Let t = 22 + -15. Let x = -212 + 199. Calculate the least common multiple of 2/(-8) - (x + (-350)/(-40)) and t.
28
Calculate the least common multiple of 27 - -2 - (1 - -1) and ((-104)/5)/((-288)/2160).
1404
Suppose -5*b - 32 = -3*k, 6*k - 11*k + b = -24. What is the lowest common multiple of k and 304?
304
Let n = -92632 - -230283149/2486. Find the common denominator of n and -29/66.
7458
Let x = -509716 + 477094223/936. Calculate the common denominator of x and 81/8.
936
Let b be (-1)/(-4) + 139/4. Let q = 1761 + -1662. Suppose d = -b + q. Calculate the lowest common multiple of 22 and d.
704
Let w be 1236940/90*(-4 - 28/(-6)). Let q = -9161 + w. Calculate the common denominator of -25/6 and q.
54
Let n = -39 - -39. Suppose 3*u - 8 + 2 = n. Calculate the common denominator of -40/99 and 8 + (u/(-20))/((-2)/5).
396
Suppose -p = 61 - 163. Suppose 2*d - p = -d. Suppose 0 = 671*w - 676*w + 10. What is the lowest common multiple of d and w?
34
Let f be (-42)/(-5) - ((-66)/(-15) - 4). What is the lowest common multiple of 64 and (-3190)/(-40) - ((-10)/f + 1)?
320
Let k = 5730 - 320765/56. What is the common denominator of (14/(-4))/(-3*10/(-3)) and k?
280
Find the common denominator of (-270)/(-20)*((-145)/165 - -1) and -44/1531.
16841
Let m = -5216 - -5215. What is the common denominator of m and 15/10649?
10649
Suppose 0*d = -2*d - 120. Suppose 0*k - 8 = -4*k. What is the common denominator of 27/2 and k/(d/715) - 0?
6
Let j(c) = 7*c - 33. Let r be j(11). What is the common denominator of 81/44 and 9966/r*(-2)/(-36)?
132
Let r be 2373/(-14)*(304/(-3) - 4). Let z = r + -696257/39. Calculate the common denominator of z and -29/30.
390
Suppose 225 - 183 + 618 = 60*l. What is the smallest common multiple of l and 4336?
47696
Let l = -51141778 + 1994383379/39. Let h be 22456/(-6) - 1/3. Let o = h - l. Find the common denominator of 64/21 and o.
273
Let t(a) be the second derivative of -5*a**4/12 + 4*a**3/3 + 17*a. Let f be t(2). Calculate the common denominator of -91/16 and ((276/(-9))/f)/((-16)/6).
16
Suppose u = -x - 2*u + 8, 2*u = -2*x. Suppose -350 - 30 = -5*r. What is the common denominator of 29/18 and x - r/(-20) - (-1382)/60?
18
Let l(p) be the second derivative of 4/3*p**4 + 0 - p**2 + 22*p - 1/6*p**3. What is the lowest common multiple of l(-1) and 15?
15
Let z be (-2*12/(-8) - 3)*-1. Suppose 0 = b + 1, 0 = -z*k + 3*k + 3*b - 69. Suppose -2*a + 53 = -7. What is the lowest common multiple of k and a?
120
Suppose 0 = -4*h - h - 410. Let i be (-62)/8 + 28/(-112). Calculate the smallest common multiple of h/(-8) + -4 + (-30)/i and 14.
70
Let y = 2/10891 + 173970/1557413. Find the common denominator of -111/110 and y.
1430
What is the common denominator of 52/51 and 17/102*568/(-136)?
102
Let a = -2094 + 226109/108. Find the common denominator of a and 59/300.
2700
Suppose 9 = -5*z + 259. Suppose 106*l = -25*l + 1834. Calculate the lowest common multiple of z and l.
350
Suppose 4*m + 0*m = -4*x + 204, 4*x - 212 = 4*m. Suppose 73*r - x = 71*r. Calculate the lowest common multiple of 20 and r.
260
Let m = 922 - 868. Calculate the least common multiple of m and 57.
1026
Let y = 20657/3258 - 34/543. What is the common denominator of (1*(-101)/(-28))/(7/(-14)) and y?
126
Let y = -77501/2610 + 855/29. Find the common denominator of 29/115 and y.
2070
Suppose -28*r = -33*r + 1065. Calculate the least common multiple of 30 and 4 - r/(-12) - 1/(-4).
330
Suppose -2*j + 8*n - 14 = 10*n, 10 = -4*j + 2*n. Calculate the least common multiple of ((-8)/j + -5)/1 - -59 and 24.
168
Let k = 7730 + -4877. Calculate the smallest common multiple of 2853 and k.
2853
Let r be 7/(84/(-9))*8/2. Let d be 1/2 + (-85757)/(-1092) + r. Let m = -944/13 + d. Find the common denominator of 95/2 and m.
12
Calc