common multiple of q and 60.
60
Suppose 4*m - 4 = 0, r + 13*r + 4*m - 144 = 0. Calculate the least common multiple of r and (-3 + (-44)/12)*-12.
80
Let v = -21073/6 + 3463. Let f = v - -50/3. What is the common denominator of 99/10 and f?
10
Let l be 2511/(-108)*(-16)/(-3). Let i = l - -138. What is the least common multiple of i and 4?
28
Let t = 528002 - 269281177/510. Find the common denominator of t and 49/30.
510
Let i(a) = 2*a**2 - a - 105. Let c be i(0). Let m = 60 + c. Let q = -40268 + 2053588/51. What is the common denominator of q and m?
51
Find the common denominator of -37 + 30 + 90/11 + 0 and (2/(-4))/(20/344).
55
Let b be (-3)/6*-28*(-835)/(-15). Let n = b + -7063/9. Find the common denominator of n and (-1 - 0) + (-2)/34.
153
Suppose 0*t + t - 15 = -2*u, -40 = -5*t - 3*u. Let x(m) = 2*m**2 + 36*m - 141. What is the lowest common multiple of x(4) and t?
35
Let k = 38 - 34. Suppose 20 = 4*t, -7*m = -4*m + k*t - 2. Calculate the common denominator of 71/12 and (-75)/36 + (-3)/m.
12
Let k = -3442 - -13841/4. Calculate the common denominator of (134/(-10))/(294/35) and k.
84
Let z(o) be the third derivative of -o**4/4 - 7*o**3/3 + 52*o**2. Calculate the least common multiple of z(-7) and 4.
28
Let b = 277 - 279. Find the common denominator of -41/174 and (b + (-83)/(-28))/(27/54).
1218
Suppose 1002 + 1178 = 5*m - 2*w, -5*m = -3*w - 2180. What is the lowest common multiple of m and 2?
436
Suppose -c = b - 86 - 268, -2*c + 3*b = -718. Calculate the smallest common multiple of c and 44.
3916
Let y(c) = 1776*c + 27. Let k be y(10). Suppose 6*f + 903 = -k. Let a = f - -84092/27. Calculate the common denominator of 71/33 and a.
297
Let b(z) = 2*z**2 + 134*z + 274. What is the least common multiple of 196 and b(-65)?
196
Suppose -10 - 25 = 43*d - 48*d. Suppose -3*n + 42 + 42 = 0. Calculate the lowest common multiple of d and n.
28
Let d(l) = -l. Let o be d(-2). Calculate the common denominator of (-4)/6*(-183)/(-88) and (133/(-49))/(6 - o)*6.
308
Let d = 506 + -1469/3. What is the common denominator of d and (1540/(-368))/5*24/18?
69
Let h(j) = -j**2 + 111*j - 1219. Calculate the smallest common multiple of 318 and h(53).
11130
Let w = -4 + -17. Calculate the common denominator of 2/8 + w/(-44) and 315/60 - 12731/1276.
11
Suppose -3*i - 27147 = 3*x, 9728 = -4*x + i - 26448. Let p = 244174/27 + x. Find the common denominator of p and -13/51.
459
Let h(r) = r**3 - 7*r**2 - 4*r - 11. Let y = 112 + -133. What is the lowest common multiple of 2 + (-6)/4*14/y and h(8)?
21
Let n(p) = 123*p**3 + 8*p**2 + 12*p - 14. Let s be n(8). Let l be 0 - (s/(-16) - 2). Let f = -3983 + l. Find the common denominator of f and 37/52.
104
Suppose -l - 8 = -10. Suppose -3*c - l*c + 165 = 0. What is the lowest common multiple of c and 21?
231
What is the common denominator of (-10)/(-366)*(-924)/(-40) and 43/40?
2440
Calculate the common denominator of ((130/(-140))/13)/(((-5)/86)/(-5)) and -37/2615.
18305
Let i(n) = -863*n + 52. What is the lowest common multiple of i(0) and 52?
52
Calculate the common denominator of -52/49 and (-3)/27 - (-11292)/89964.
833
Let t = -35/3 - -64/15. Let y(l) = -l**3 - 2*l**2 - 8*l - 34. Let m be y(-3). Calculate the common denominator of t and (m/(165/(-18)))/(8/(-210)).
110
Calculate the common denominator of (6 - 11) + (-353)/(-136) + 4 + -1 and 37/192.
3264
Let u = 1599 - 1572. Calculate the least common multiple of u and -10*((-32)/10 + 2).
108
Suppose 2*u - 10 - 188 = 0. Let b be (-6160)/(-60) - -1*1/3. Let j = b - u. What is the lowest common multiple of j and 8?
8
Let h = 35140 + -2213761/63. Calculate the common denominator of h and -85/168.
504
Suppose 6287 = 72*t - 8689. Let k(o) = 12*o**2 - o - 2. Calculate the lowest common multiple of t and k(-1).
2288
Suppose 0 = -31*k + 36*k - 1485. Suppose -k = 2*i - 309. Calculate the lowest common multiple of 198 and i.
198
Let p be ((-6)/(-7))/((20/(-28))/(-5)). Suppose 108 = p*t - 72. Let c = 8 - 0. What is the least common multiple of c and t?
120
Let r = 2713 - 2217. Calculate the least common multiple of r and 310.
2480
Let u(n) = n**2 + 19*n + 32. Suppose 46 - 8 = -2*y. What is the smallest common multiple of 13 and u(y)?
416
Let s = 107/35 - 1353/280. Let q = 54/443 + 9823/24808. What is the common denominator of s and q?
280
Let y be ((-64)/(-6))/(1/(-3)). Find the common denominator of (-872)/(-352) - (-6)/8 and 16/y - (-40)/18.
198
Let d = -56 - -88. Suppose -5*f + 2*f = 264. Calculate the least common multiple of d and (-3)/(-3*(-4)/f).
352
Let r(n) = -14*n + 91. Let y be r(6). Let f = -461 - -5075/11. What is the common denominator of y - 10 - (3 + (-29)/(-10)) and f?
110
Let l = 315079/83512 + -1/7592. Let k be (26067/(-9))/(23 + -2). Let s = 946/7 + k. What is the common denominator of l and s?
198
Suppose 62*p + 869 = -103*p + 3674. What is the lowest common multiple of p and 7 + 1*-1*1?
102
Find the common denominator of -23/240 and (2/(-13))/((-10)/9540*-45*-16).
3120
Let l be (-2 + -9560)*(-30)/116325. Let k = -1/1551 - l. Calculate the common denominator of k and 35/6.
30
Let b = -2/909 - -91853/19998. What is the common denominator of 121/8320 and b?
91520
Let p = -8391 - -8445. Suppose 2*d - 2*j + 10 = 3*d, -2*d + 16 = 5*j. Calculate the lowest common multiple of d and p.
54
Let s(b) = b**3 + 4*b**2 - 23*b + 20. Let x be s(-7). Suppose -3*i = 16 - x. What is the smallest common multiple of i and 20?
60
Let i(k) = 3*k + 16. Let l be i(-9). Let p = l + 13. Suppose 5*z = -3*m + 9, -3 = -2*m + m + p*z. What is the smallest common multiple of m and 1?
3
Suppose -2*j - 4950 = -57*j. What is the lowest common multiple of 975 and j?
5850
What is the common denominator of 31/4 and ((-46)/115 - 1) + 70468/50520?
5052
Suppose -4*h + 3*j + 55142 = j, -55160 = -4*h - 4*j. Suppose -68002 = 5*t - h. Let r = 64907/6 + t. Calculate the common denominator of 67/27 and r.
54
Suppose -s + 3 = -6. What is the lowest common multiple of (12/126*-24)/(36/(-378)) and s?
72
Let w(f) = -2*f**3 + 2*f**2 + 5*f + 6. Let q be w(-2). Calculate the common denominator of -37/40 and 465/50*q/64.
160
Let q = 1399 + -158095/113. Find the common denominator of 1 - ((-142)/8 - 2) and q.
452
What is the smallest common multiple of 573 and 144/(-16)*1/(-3) - -3?
1146
Suppose 15*w - 8 = 7. What is the lowest common multiple of w and 0/(-3*1) - (-4 + 9 + -15)?
10
Suppose -2*l + 92 = 3*l - 2*v, 5*l = 3*v + 93. Suppose 5*k - 87 - 48 = -5*t, 3*k = -5*t + 145. Calculate the lowest common multiple of l and t.
288
Let z(n) = 14*n**2 + 3*n - 2. Let h = 89 + -92. Let v be z(h). Let w = v + -76. Calculate the least common multiple of 5 and w.
195
Suppose -2*c + 3271 = x, 0 = 56*x - 61*x + 5. Calculate the lowest common multiple of 55 and c.
17985
Let f = 270223/2376965 + -130/1103. Calculate the common denominator of 113/30 and f.
12930
Let z(i) = -55*i + 5. Let n be z(2). Let w be ((-5)/n)/((-328)/52270*1). Let f = w + 3/574. Calculate the common denominator of -47/10 and f.
60
Let s = -19201 + 460685/24. Let t be (-229)/7 - 9/(441/14). Find the common denominator of (-2 - t/24)*186/(-341) and s.
264
Let i = -184 + 185. Calculate the lowest common multiple of 42/(-105) + i*74/10 and 9.
63
Find the common denominator of -101/828 and 4/((-144)/335) + (-94 - -100).
828
Let s(i) = i + 1. Let p(z) = 6*z + 2. Let g(o) = -p(o) - 4*s(o). Let k(l) = -5*l - 57. Let b be k(-11). Calculate the smallest common multiple of g(b) and 16.
112
Let t be -164 + -1*(-4 - -5). Calculate the common denominator of (14/8)/(31/((-310)/(-12))) and 8/(-18)*t/72.
216
Let x be 0 + 4/22 - 756/(-198). Suppose k - 5*n - 6 = -16, -x*k - 3*n = -52. Calculate the least common multiple of k and 14.
70
Suppose z + 54*u - 52*u = -4, 0 = 4*z + 2*u - 14. Suppose -z*f = -381 + 309. What is the lowest common multiple of 86 and f?
516
Suppose 0 = 5*u + z + 204 - 2199, -4*u - 4*z = -1580. What is the lowest common multiple of u and 60?
1200
Let c(f) = 3*f**2 + 17*f + 4. Suppose 0 = l - 6*l + 15. Suppose -l*o + 20 = n - 18, 0 = -4*o + 5*n + 38. Calculate the least common multiple of o and c(-6).
60
Let g = -219629/12 + 18292. What is the common denominator of g and (3*(-3 - 212/(-8)))/(-54)?
36
Suppose 5*a + 4*q = 5310, 2183 = 4*a + 4*q - 2065. Calcula