ose 5*i = -124 + k. What is the common denominator of (2/4)/(i/414) and -77/10?
130
Let a(j) be the first derivative of -5*j**2/2 - 4*j + 10. Let v be a(-8). Calculate the common denominator of -131/6 and (-3)/v*(-131 - 0).
12
Suppose -9*b + 997 + 317 = 0. Suppose 4*p + b = -s - 0*s, 0 = -5*s - 2*p - 658. What is the common denominator of (-4)/16 + s/(-24) and 33/8?
24
Let a(y) = 43*y**2 + 248*y + 20. What is the lowest common multiple of a(-6) and 600?
1200
Suppose 3361*j = 3382*j + 949 - 29866. What is the least common multiple of j and 918?
2754
Let h = -452 + 1831/4. Find the common denominator of h and 1*34/((-476)/(-231)).
4
Suppose -5*p - 4*r = -1620, 0 = -5*p + 8*p - 2*r - 994. Let w = 329 - p. Calculate the lowest common multiple of w and 99.
99
Suppose v = -16*v + 3136 - 161. Calculate the lowest common multiple of 130 and v.
4550
Let t = 8529955/18 + -490545. Let a = t - -16651. What is the common denominator of a and 28/9?
18
Suppose 5*y - 11904 = -4*g, -15*g - 7137 = -3*y - 12*g. What is the least common multiple of y and 2618?
26180
Let z = -16114/4923 + -5/1094. Let m(q) = -q**3 + q**2 + 4*q - 4. Let r be m(1). Calculate the common denominator of r + (-2 - 0) - 127/(-50) and z.
450
Let m(s) = 579*s + 50. What is the lowest common multiple of 985 and m(0)?
9850
Let j = -6682777/108 + 61877. What is the common denominator of 95/744 and j?
6696
Let f = 1451 - -733. Calculate the least common multiple of 18 and f.
6552
Let b(n) = 9*n - 8831. Let r be b(0). Let v = -291370/33 - r. Calculate the common denominator of v and 23/(-18) - 2/4.
99
Let v(q) = -q + 29. Let j be v(21). Calculate the common denominator of -59/70 and (-132)/j*(-51)/54 + -3.
420
Suppose -41*x - 18 = -43*x. Suppose 54 = 5*f + x. Calculate the common denominator of 4/(40/f) + (-11)/(-11) and -22/3.
30
Let w be 10/(-15)*((-306951)/(-36) + 0). Let c = w - -5689. Find the common denominator of c and 11/4.
36
Suppose 905 = -11*f + 3281. Let b = f + -208. What is the smallest common multiple of 16 and b?
16
Let o = 62841 - 2828014/45. Let j = 73/15 + o. Calculate the common denominator of j and -54/7.
63
Suppose 2*p = -4*u + 13 + 41, u - 13 = -p. Suppose -39 = -15*x + u*x. What is the least common multiple of 6 and x?
78
Let a = 3/212 + -1393/1060. Calculate the common denominator of a and 75/596.
2980
What is the smallest common multiple of 22 and (-18)/2 - (69 - 1428)?
14850
Let x(h) = h**3 - 13*h**2 + 17*h - 38. Suppose 123 + 153 = 23*p. Calculate the smallest common multiple of 11 and x(p).
22
Let v = 38 - 14. Suppose 0 = -2*l - 259 - 17. Let c = 144 + l. What is the smallest common multiple of v and c?
24
Suppose 2*d = -4*i + 10, 0 = 3*i - 2*d - 3 - 8. Suppose -i*z = -2 - 10. Suppose -2*b = -z - 0. Calculate the lowest common multiple of 8 and b.
8
Let k = -22924 - -33325. Let a be (14*8/(-144))/((-1277)/k). Let i = 2/1277 - a. Calculate the common denominator of -55/7 and i.
21
Let x = 356314441613/90 - 3959007553. Let k = x + -41799. What is the common denominator of k and -143/120?
360
Let l be ((-217)/(-124))/((-9)/(-8623)). Let o = 3351/2 - l. What is the common denominator of 65/6 and o?
36
Suppose -2*f = -6, 0*u + 2*f - 21 = -3*u. Suppose -5 = 5*w - 10*w + u*p, 0 = 4*p - 12. What is the smallest common multiple of 38 and w?
76
Let d = -23056 - -23341. Calculate the smallest common multiple of d and 40.
2280
Let t = 30544567/1056449848 + 1/469951. Calculate the common denominator of t and -65/22.
24728
Calculate the common denominator of (-14 + 5584/400)/(7188/1455) and -19/22.
131780
Let q be (2 - 1)/(-2 - -3). Let o(x) = -221*x**3 + 3*x**2 - 3*x + 1. Let u be o(q). Calculate the least common multiple of u/(-14) - 2/(-7) and 16.
16
Suppose 92*q - 89*q - 6411 = g, 5*q - 10674 = -2*g. Calculate the least common multiple of 2 and q.
2136
Suppose -183 = -3*k + 72. Let m = k - 73. Suppose 13 = -5*g + 53. Calculate the least common multiple of m and g.
24
Find the common denominator of -7 + (-5)/(23085/(-32841)) and -43/54.
1026
Let f = 5840 - 5040. What is the smallest common multiple of 400 and f?
800
Suppose -5*f = -0*f - 130. What is the common denominator of 47/21 and 1/(24/16)*31/f?
273
Let v(a) = a**3 - 16*a**2 - 33*a - 23. Let k be v(19). Let b = 443 - k. What is the lowest common multiple of b and 8?
40
Suppose -35*y + 34*y + 3*v = -498, -5 = -5*v. Let w = 529 - y. Calculate the lowest common multiple of w and 98.
196
Let o(i) = i**3 - 25*i**2 + 92*i - 92. What is the smallest common multiple of o(21) and 190?
380
Suppose 2*r - 641 - 655 = 0. Let p be ((-8)/(-6))/((-12)/r). Let y = p + 112. Calculate the least common multiple of y and 24.
120
Calculate the least common multiple of 264 and (474/395)/(6/1575).
27720
Let c = 35 + -29. Let b be c/(-489)*38*1466/(-240). Let t = b + 58/489. Find the common denominator of t and -35/9.
90
Let q(g) = -g + 8. Let o be q(5). Suppose 5*l - 15 = 0, 0 = -4*w + o*l + 3. Calculate the common denominator of 31/(3 + -2)*w/(-12) and -61/6.
12
Let k = -15443/8 - -1928. Let a = 7057/5 - 1423. What is the common denominator of k and a?
40
Let d = 5171/10 - 529. Calculate the common denominator of 21/2501 and d.
25010
Let a = -27520375/21 + 1307716. Let c = 2781 + a. What is the common denominator of -31/33 and c?
231
Let z(f) = 32*f - 92. Let b(p) = 16 - 6 + 27 - 13*p + 0. Let n(x) = 12*b(x) + 5*z(x). What is the lowest common multiple of 4 and n(7)?
12
Let k(b) = -11*b**2 + 235*b - 350. Calculate the least common multiple of k(15) and 490.
4900
Let m = 31417 + -22433. What is the lowest common multiple of m and 20?
44920
Suppose -1058 - 2402 = -5*n. Suppose n*b - 45 = 687*b. Let z = -10 + 34. Calculate the lowest common multiple of b and z.
72
Let m = 3874 + -38793/10. Let q be 4*-4*10*(-6)/(-8). What is the common denominator of m and (1 + 6)*6/q*-5?
20
Let g = -1049/1176 + -13/196. Let t(x) = x**3 - 14*x**2 + 22*x - 1. Let s be t(12). Find the common denominator of (s/(-225))/((-4)/(-642)) and g.
24
Let z(w) = -2*w**2 + 4*w**2 - 4*w + w**3 - 9*w + 6*w - 5. Let o be z(-3). Suppose -11 - o = -g. Calculate the smallest common multiple of g and 21.
126
Let b(w) = w**3 + 38*w**2 - 109*w - 82. Let k be b(-40). Find the common denominator of -77/24 and (-196)/k + 3286/528.
24
Let a = 8 + -2. Let k = 68 - 80. Calculate the least common multiple of 1/(-6) + (-26)/k + 31 and a.
66
Let s = -3951 + 4207. Calculate the smallest common multiple of 1792 and s.
1792
Let u(h) = -h**3 - 3*h**2 + 5*h + 6. Let v be u(-4). Suppose -121 = -2*w + 5*z, -156 - 74 = -5*w - v*z. Calculate the lowest common multiple of w and 24.
48
Let h = 1145 + -168316/147. Let a = -338/735 + h. Find the common denominator of a and 51/4.
60
Let c be -34 - (6 - (-1)/(-1)). Let f = c + 43. Suppose 5*x - 25 = 4*l + 37, -3*x + 18 = f*l. What is the smallest common multiple of 230 and x?
230
Let x = -2533/693 + 257/63. Find the common denominator of -41/11544 and x.
126984
Suppose 0*v = 3*v + 9, -2*z + 399 = -5*v. What is the least common multiple of z and 264?
2112
Let f be 75/(-525) - (-762446)/(-154). Let y = f - -3813407/770. Let w = 505 + -4540/9. Calculate the common denominator of w and y.
630
Let v be (8 + -3 + 0)*(1 - 0). Suppose -3*d = 3*x, 0*d + v*d + 2*x = 0. Suppose 8*f + 7 - 31 = d. Calculate the lowest common multiple of 3 and f.
3
Let f(p) = 4*p**2 - p - 4. Suppose -18 = -4*r + 110. Calculate the smallest common multiple of f(2) and r.
160
Let h = 10 + 0. Suppose b = 4, w = -b + 37 - 3. Let o(s) = -10*s + 312. What is the lowest common multiple of h and o(w)?
60
Let z be -1 + ((-8)/2 - (-140)/7). Suppose -4*q = -2*a - 38, -q - 3*a - 2 = -z. What is the lowest common multiple of 38 and q?
190
Calculate the common denominator of 17/8 and -107 + 109 + (-1002)/861 + 2/7.
328
Let l = 2249/1224 + -110/51. Let u = 65585/576 - 1037/9. Find the common denominator of u and l.
576
Let p = 1079709/49 + -22036. Let f = -7644023/3116946 + 2/74213. What is the common denominator of f and p?
294
Let o be ((-1 - 3) + 12)*(-3 - 1). Let k(a) = -a**3 - 33*a**2 - 30*a + 65. What is the least common multiple of -3*(1 + -1 + -3) and k(o)?
9
Let m = -91/1418 + 25985/90043. Calculate the common denominator of m and 11 - 9 - (-43)/10.
1270
Suppose 52*d - 23*d - 957 = 0. Let g