7 - -16991. What is the least common multiple of j and 1680?
18480
Suppose -14 = j - 4*i, -3*j + 0*i = -i - 13. Suppose 23*x = 21*x + j. Let a(h) = -h + 16. Calculate the smallest common multiple of a(13) and x.
3
Find the common denominator of (5 - 202710/31500) + (-7)/(-5) and -149/1050.
1050
Let t be 231079/(-11) + -8 + (-900)/(-110). Let d = t - -1218335/58. Find the common denominator of 9/3 + (-47)/2 and d.
58
Let x = 18743 + -18741. Let p = 8 + -6. Calculate the lowest common multiple of p and x.
2
Suppose -378 = -15*s - 6*s. What is the least common multiple of s and (-1)/1*0 + 26?
234
Suppose i = -5, -3*i - 18 = -2*n + 3. What is the lowest common multiple of 20*((-7 - -6) + n) and 44?
440
Let d = -59 + 35. Calculate the common denominator of (-205)/280*2 + (-2)/8 and 1 + (-117)/d*-2.
28
Let l be ((-24)/(-20))/((-2)/(-5)). What is the common denominator of 59/98 and (-444)/80 + l - 0?
980
Suppose -626 = -b - 103. Let a = b - 453. Calculate the least common multiple of 35 and a.
70
Let j(m) = -2*m**3 + 29*m**2 - 15*m + 4. Let c be j(14). Calculate the lowest common multiple of 22 and ((156 - 1)*c/(-25))/1.
682
Let y(m) = 6*m**3 - m**2 + 1. Suppose 0*x = -2*x + 2. Let f be y(x). Suppose 0 = -11*q + f + 27. Calculate the lowest common multiple of 30 and q.
30
Let f = -1873 - -2417. What is the lowest common multiple of f and 176?
5984
Let o(w) = 21*w - 234. Let s(q) = 21*q - 237. Let r(k) = 3*o(k) - 2*s(k). What is the smallest common multiple of r(12) and 70?
840
Let t be (-4206)/(-39) - (-10)/65. Let y = -3333 - -46551/14. What is the common denominator of (t/40)/((-2)/4) and y?
70
Suppose -36*l = -34*l - 4146. Let f = l + -8379/4. Find the common denominator of 187/60 and f.
60
Let j(c) = -6*c + 7. Let q be j(-4). Suppose -21*r = -347 - q. What is the least common multiple of 238 and r?
2142
Let l(j) be the third derivative of -j**4/8 - 11*j**3/6 + 62*j**2 + 2. What is the least common multiple of 12 and l(-5)?
12
Let f = 5871673/114 - 51505. What is the common denominator of -95/28 and f?
1596
Let v = -2860/221511 - 2/1571. Find the common denominator of v and 58/705.
705
Let c = 7083714503/638948856 + 8462/166047. Let d = c - 6/481. Calculate the common denominator of d and -17/270.
1080
Let q = 4007/6 + -659. Find the common denominator of q and 26/11.
66
Let n = 18 + -12. Let o(s) = 2*s**2 - 6 + 5*s - s**2 + n*s - 14*s. What is the smallest common multiple of o(5) and 16?
16
Suppose -7*u - 45 = 5*q - 2*u, -3*u + 17 = -q. Let j(v) = -v**3 - 10*v**2 + 3*v - 44. Calculate the least common multiple of 99 and j(q).
396
Suppose 0 = -68*j + 25*j + 7*j + 2376. Calculate the lowest common multiple of 588 and j.
6468
Let o be ((-12)/(-10))/(6/20). Let h be -4*(-6 - 2704/(-32)). Find the common denominator of 133/6 and h/120*2 + o.
30
Let g = -5048 + 5054. Suppose 0 = -4*u + 3*t + 279, 4*t + 0*t + 86 = u. What is the least common multiple of g and u?
66
Suppose -3*c = j - 24 - 12, -5*j = -3*c - 162. Suppose q = 3*g + 1 - 10, -5*g + 29 = 3*q. Calculate the least common multiple of q and j.
33
Suppose 4*j = -4, o - 11 = -0*o - 5*j. Calculate the least common multiple of o and ((-2376)/135)/(((-4)/5)/2).
176
Find the common denominator of 155/(-62)*((-464)/765)/(-4) and -50.
153
Suppose -3*t - i + 3 = -2*i, 5*t + 4*i = 5. Let c(p) = 283*p**3 - 8*p + 7. Calculate the smallest common multiple of 33 and c(t).
3102
Let a = 6587/5 + -1322. Find the common denominator of 46959/5692*8/(-417) and a.
695
Suppose -6*z + 82 = -4*z. Suppose z - 191 = -i. Calculate the common denominator of 130/(-12)*(-80)/i and 71/6.
18
Let n(h) = -h - 102 - 2*h + 4*h + 96. Let i be n(2). Calculate the least common multiple of 14 and 2/i*(-8 + -12).
70
Let z = -35 - -155. What is the common denominator of (4/(z/(-1179)))/66 and ((-9)/10)/((-66)/209)?
220
Suppose -14 + 1028 = n. Calculate the least common multiple of (-7)/((-147)/n) + 10/(-35) and 7.
336
Let w = 67/2772 - -2559971/924. Let f = w + -2767. Calculate the common denominator of f and (-51)/(-2)*(-33)/135.
90
Suppose -2*z - 8*j + 6*j = -3050, 3*j - 6096 = -4*z. What is the least common multiple of z and 6?
3042
Suppose 3*n - 36 = 4*n. Let s be (-12)/(-10)*15/6. What is the common denominator of 1 - (s + 201/n) and -13/86?
516
Let y = -1/1115 + 14503/8920. Let n be 13466/(-3204) + (-3 - -2). Let h = -20/267 + n. What is the common denominator of h and y?
72
Let g = -18 - -28. Let n(i) = -19*i**2 + 1063*i + 64. What is the smallest common multiple of g and n(56)?
40
Suppose -17*q = -15*q, 1344 = 3*y + 3*q. What is the lowest common multiple of 504 and y?
4032
Let z(q) = 35*q - 17*q + 5*q**3 - 1 - 1 - 16*q + 3*q**2. Calculate the lowest common multiple of z(2) and 54.
54
Suppose 286332 - 31452 = 91*y + 27*y. Calculate the least common multiple of y and 1200.
10800
Suppose -o + 23 = -3*g, 250*g - 255*g - 65 = -3*o. Calculate the smallest common multiple of o and 40.
40
Let x = 692501235/1456 - 475619. Find the common denominator of -13/224 and x.
2912
Let h(l) = -4*l + 131. Let w be h(9). Suppose 6*r = w - 11. Calculate the smallest common multiple of 154 and r.
154
Let w be 16737/4185 + -7 + 3. Let d = w + -12086/654255. Let k = -33191/5628 + d. Find the common denominator of k and -97/10.
60
Let w(s) = -410*s - 14922. What is the least common multiple of 186 and w(-37)?
744
Let c = 109/496 + -271381/1190896. What is the common denominator of 121/140 and c?
48020
Let b be -3 + 4 + (-4)/1. Let l = 26057/1434 + -1/239. What is the common denominator of l and (550/236)/(-5) - 0/b?
354
Let t = -283 + 510. Suppose -220 = z - t. Calculate the least common multiple of z and 195.
1365
Let f be 25 - 26 - (1 - 6025). Let z = f + -120423/20. Find the common denominator of 2 and z.
20
Find the common denominator of 82/3645 and (-4 - 1)*-10*20/660 - 3.
40095
What is the lowest common multiple of 440 and 128/320*(33 + -3)?
1320
Let u(o) = -3*o**2 - 308*o + 516. Calculate the lowest common multiple of u(-86) and 896.
38528
Let m = 1942 + -64069/33. Find the common denominator of m and (2/15)/(399/(-1083)).
1155
Let v = 71442 + -71436. What is the smallest common multiple of v and (18/15)/(3/90)?
36
Suppose 24*d - 15 + 87 = 0. Calculate the lowest common multiple of -10*d*(-1)/(-3) and 20.
20
Let o = 14412578 - 2219556257/154. Let d = 3137992/25249 - -14/3607. Let g = o + d. Find the common denominator of 81/8 and g.
88
Let u be (1*(-2)/(-4))/((-7)/154). Let x(l) = -l**3 - 10*l**2 + 9*l - 26. Let r be x(u). Find the common denominator of (-876)/(-80)*(16/(-6))/r and -52/17.
170
Let d(n) be the first derivative of 2*n**3/3 - 12*n**2 + 16*n - 3. Suppose 67 + 65 = 11*y. What is the smallest common multiple of d(y) and 1?
16
Let y(z) = 2477*z - 11152. What is the lowest common multiple of y(5) and 54?
7398
Suppose 2*x = -12*x - 42. Let c be 2 - ((-2 - x)*-1 - 6). Suppose 0 = 2*h - h - c. Calculate the smallest common multiple of h and 18.
18
Let m be (16/12 - 4/30)*40. Find the common denominator of 11/9*(-5 - (-42)/m) and 926/60 + 4/10.
24
Let u(m) = -3*m - 20. Let h be u(-8). Let d be (-85)/34 - (-2)/h. Calculate the least common multiple of 6 and ((-6)/(-9))/(d/17)*-3.
102
Suppose -4*y + 32 = 2*j, -2*y = -5*j + 20 + 84. What is the smallest common multiple of j and 90?
180
Let k = 19794 + -636. Let s = 1896679/99 - k. What is the common denominator of -161/30 and s?
990
Let j = -158899429/642 + 247507. Calculate the common denominator of j and (-12)/64*(1 + 156/(-9)).
5136
Let w = 40 - 28. Calculate the least common multiple of ((-184)/230)/((-32)/3680) and w.
276
Let w(c) = -7*c - 1 - 2 - 2 - c**2. Let q(g) = 15*g**2 + 9*g - 12. Calculate the lowest common multiple of w(-4) and q(1).
84
What is the common denominator of 101/1314 and -701 + 694 + ((-9569)/(-1606) - -1)?
14454
Let p = -229 + 257. Find the common denominator of (24/(-2))/(p/(-6)*1) and 41/14.
14
Let b = -822381849/28 + 29356754. Let c = b + 14030. What is the common denominator of 2/49 and c?
196
Suppose 3*l - 86 = -5*m, 143*l - 148*l + 58 = 3*m. What is the least common multiple of 208 and m?
208
Let n be ((-6)/(-15))/((-4)/(-540)). Calculate the common denominator of 12/n - (2 - (-1004)/1440) and -71/45.
360
Suppose v = -x + 6*x + 165, v - 171 = 3*x. Calculate 