*b = -17*b + 30*b - 2580. Calculate the least common multiple of 4780 and b.
14340
Let t = 1/37202 - 6268597/2232120. Let q = t + 5/24. What is the common denominator of q and 8/7?
35
Suppose -4*x + 14*x = -5800. What is the common denominator of 23/80 and x/100*(-1)/10?
400
Suppose -5*b - 254 = -h, 4*b - 5*b - h = 46. Let y = 58 + b. Calculate the smallest common multiple of y and 2 + -4 + -1 + 7.
8
Let q = -21 + 45. Let r(f) = -f**3 + 54*f**2 - 727*f + 110. Calculate the smallest common multiple of r(25) and q.
120
Let i be (-3 - (-171)/63) + 261686/(-154). Let n = i - -1702. Find the common denominator of n and 61/6.
66
Suppose 0 = -n + 4, 2*n + 2 = s - 5. Suppose 297*q + 1155 - 1927 - 1010 = 0. What is the smallest common multiple of q and s?
30
Let a = 43 + -40. Suppose 2*c = 3*h - 0 + a, -c - 4*h = -7. What is the lowest common multiple of c and 2?
6
Let k be 21/((-2)/16*3). What is the smallest common multiple of ((-576)/k)/((6/14)/3) and 12?
72
Let g be 6/57 + (-4)/38. Suppose 3*p - 12 - 15 = g. Calculate the smallest common multiple of 3 and p.
9
Let u(j) = j**2 - 17*j - 87. Let o be u(13). Calculate the common denominator of -64/77 and (o/(-44))/((-72)/48).
462
Let k = -833399 + 500039543/600. Calculate the common denominator of -57/200 and k.
600
Suppose 12*d + 2785 + 1391 = 0. Calculate the common denominator of -77/24 and ((d/99)/(-4))/(7/(-14)).
264
Let y = 58273/6 - 9720. Find the common denominator of y and 0 - (-36)/(-14)*3.
42
Let k = -88814563/80 + 1110182. Let y = -14077113/220 + 63987. What is the common denominator of y and k?
880
Let b be 20/(-260)*(-227)/4. Let n = b - 2623/312. What is the common denominator of 13/33 and n?
264
Let h(g) = 2*g**2 + 6*g + 4. Let c be h(6). Suppose 0 = 19*z - 11*z - c. Suppose 2*u = 8, 0*u - u + 2 = -r. Calculate the lowest common multiple of z and r.
14
Let c = 407 + -390. Suppose 83 = c*z - 104. What is the smallest common multiple of z and 1?
11
Let d be (-1)/(-1 - (-2)/3). Let y(b) = 3*b - 6*b + 5*b**2 - 108 - 3*b**2 - 2*b + 111. What is the lowest common multiple of y(d) and 8?
24
Let q = 3579 + -3543. Calculate the lowest common multiple of q and 360.
360
Suppose -171 + 111 = -10*s. Suppose -3*j + 70 = 5*i, -j = 3*i - s*i + 28. Calculate the smallest common multiple of i and 3.
33
Let g be (6/9)/(10084/1680 + -6). Suppose -41*d + 55*d = g. Calculate the least common multiple of d and 122.
1220
Let g(w) = -w**3 + 7*w**2 + 10*w - 14. Let f be g(8). Suppose f*k + 3*j - 142 = 26, 2*k = 5*j + 168. Calculate the least common multiple of k and 8.
168
Suppose 0 = -7*u + 10*u + 84. Let y = 562 - 1666/3. Find the common denominator of y and 44*((-80)/u - 3).
21
Let v = 10625 - 8343. Calculate the least common multiple of v and 11.
25102
Suppose -5*c + 4056 = -3*l, 5*c - 2*l = 3188 + 866. What is the least common multiple of c and 25?
4050
Let b = 23730 + -1566097/66. What is the common denominator of b and 74/123?
2706
Suppose -2 = -l, 66 = -q + 4*q + 3*l. Let g be 4/(q/125) + -5. Suppose -16*m - g = -20*m. Calculate the lowest common multiple of m and 16.
80
Let k = 4904551/70 + -70067. Calculate the common denominator of k and 40/5649.
56490
Let c = 4 + -9. Let m be (-8)/(-20) + 3 + 37/c. Find the common denominator of m/6 + 98/(-231) and -45/8.
88
Suppose 1536*w = 1532*w - r + 25, 14 = 2*w + 2*r. Let y = -3 + 9. Calculate the smallest common multiple of w and y.
6
Let j be 590/(-20)*-2*1. Let y be (-184)/28*21/(-2). Let w = y - j. What is the least common multiple of w and 12?
60
Let q(y) = 143*y**2 + y + 19. Let o be q(6). Let f = o + -46504/9. Calculate the common denominator of 109/80 and f.
720
Let s be (1 + 13/(-15))/(2812/42085). Let u = -6/37 + s. Calculate the common denominator of u and -71/27.
54
Let a = -20527 + 3736039/182. Calculate the common denominator of a and -137/70.
910
Let m = 326 + -324. Suppose 27 = m*s - 13. What is the smallest common multiple of 4 and s?
20
Calculate the common denominator of 97/56 and (-1465)/(-5600) - (-8 + 632/80).
224
Let w be (-5704)/4*5/2. Let g = 3272 + -3276. Calculate the common denominator of 133/12 and w/350 + g/(-14).
60
Let u be 2 + (-9450)/55 - 10/55. Let g = u - -206. What is the least common multiple of 27 and g?
108
Suppose 10964 = -4*q - 5*m + 45707, -3*q + 5*m = -26066. What is the common denominator of 1 + 0 + (-110)/(-32) and ((-2)/(-14))/(306/q)?
144
Let v = 132 + -131. Let t = 16687/2328 - 1/776. What is the common denominator of ((-20)/50)/(v - 489/485) and t?
6
Find the common denominator of -149/90 and 30/(-41)*(18/(-24) - 0).
3690
Let u = -49 + 66. Let h = 21 - u. Suppose -5*y + 31 = p - 9, -32 = -h*y - 2*p. Calculate the lowest common multiple of 8 and y.
8
Let d = 3/75274 - 1449065/1016199. Find the common denominator of d and (98/(-4))/(6/4).
54
Let x(t) = 13*t**2 - 421*t - 72. What is the least common multiple of 105 and x(38)?
40530
Calculate the common denominator of 12/310*(-22)/(45738/(-399)) and 3/7.
35805
Let x(p) be the first derivative of p**3/3 + 5*p**2/2 - 2*p + 71. What is the lowest common multiple of 2 and x(-9)?
34
Calculate the common denominator of (36/(-48)*(-2)/(-3))/(175/(-3955)) and 1/4228.
21140
Let u(v) = v**2 - 3*v + 4. Let t(x) = x**2 - 20*x + 89. Let q be t(23). Let h = q - 152. Calculate the smallest common multiple of u(-3) and h.
66
Let y = -588/653 + 9181/84890. Let w = -198/697 + 31958/63427. Calculate the common denominator of w and y.
910
Let q = 15702/19 + -1222723/1482. What is the common denominator of q and -3/13?
78
Let u = 64370375/3663 - 158158/9. Find the common denominator of u and 43/10.
12210
Calculate the common denominator of -23/8 and -17 + (86283775/(-107800))/(-47).
4312
Let b = -3/36068 + -640141/793496. Find the common denominator of b and ((-64)/(-2560))/(4/68).
440
Let q(v) = v**2 - 15*v - 5. Let o be q(20). Calculate the common denominator of 377/(-28) + 2/(-7) and 5/(-2 + 160/o - 4).
164
Let r = -3044 + 3056. Suppose 0 = -27*b + 101 + 196. Calculate the lowest common multiple of b and r.
132
Let b = 1/528 + -2575/528. Calculate the common denominator of (-735)/(-198) - (-1 - -5) and b.
264
Suppose -5*q - 6 = -7*q. Suppose 35 = -q*g + 341. What is the common denominator of g/(-16) - (-3 + 4)/(-4) and -10/11?
88
Suppose -4*p = p - 75. Find the common denominator of 139/70 and (-5177)/(-11718) + p/(-18).
1890
Let f = -351 + 156. What is the least common multiple of (-39)/f - 68/(-10) and 9?
63
Let a be 51/7 + 18/(-63). Suppose 0*p + a*p = 182. Suppose 31*c - 15 = p*c. What is the smallest common multiple of c and 21?
21
Let n = 5 - -1. Suppose -b - 2*d = -d + 22, 3*b - 4*d + 101 = 0. What is the least common multiple of (22 + b)*4/(-10) and n?
6
Calculate the common denominator of (-9)/((-81)/(-136)) + (-5420)/(-542) and 23/(-10)*(-1)/4.
360
Suppose 11*a - 185 = -2979 + 24277. Calculate the smallest common multiple of 63 and a.
1953
Suppose -7*z = -2*z - 75. What is the lowest common multiple of z and 16/32 - (-19)/2?
30
Let u = 613 + -321. Calculate the common denominator of -7/5 and 2 - (u/144 - 1).
180
Let u(a) = 2*a + 3. Let g be u(2). Let o = 42 + g. Let m = o - 29. Calculate the least common multiple of m and 12.
60
Suppose -16*w - 18*w + 35348 = -94804. What is the lowest common multiple of 231 and w?
26796
Let h = 80 + -23. Let c = 64 - h. What is the common denominator of 89/22 and c/72*(-2 + -5*10)?
198
Let n = 1500991 + -7611525327/5071. Find the common denominator of 149/2766 and n.
30426
Let b(d) = d**2 - 71*d - 1692. Calculate the smallest common multiple of 308 and b(91).
9856
What is the common denominator of -67/264 and 2426/(-528) - (-37)/(999/135)?
264
Suppose -5*w + 3*m = 56, -5*w - 68 = -3*m + 4*m. Let v(z) = z**2 + 9*z + 18. Calculate the lowest common multiple of v(w) and ((-9)/(-1))/(12/8).
210
Let s = 3154 - 3142. Suppose 0 = -5*o + 2*o + 180. Calculate the lowest common multiple of s and o.
60
Suppose -706*k + c = -710*k + 46, 4*k - c = 50. What is the smallest common multiple of k and 2406?
4812
Find the common denominator of -57/82 and 9447/1128 + -2 + 0 + -4.
328
Suppose 64*t - 72*t + 3945 = -22983. What is the lowest common multiple of t and 30?
16830
Let a = -381/5 - -393/5. Find the common denominator of a and 35/(-63) - 170582/(-