at is the common denominator of -38/15 and -70*(j/9 - 2 - -2)?
45
Let v = 5/1751 - 129649/26265. Find the common denominator of v and 7/270.
270
Let a = 0 + 2. Let h(p) = -p**2 - 7*p - 5. Let c be h(-4). Suppose 100 = -2*s + c*s. What is the least common multiple of a and s?
20
Suppose -340 = -2*r - 2*r. Let o = -6969/4 + 1721. Calculate the common denominator of o and (-2)/(-16)*r/(-10).
16
Calculate the smallest common multiple of 40 and (-13)/((-104)/1168) - 2/2.
1160
Suppose 7*s = 5*s + 580. What is the least common multiple of 13 and 1/3 - s/(-30)?
130
Let r = 138465/14 - 9886. Calculate the common denominator of 278/28 - 1*(2 - -2) and r.
14
What is the common denominator of ((-3069)/231)/(-1 - -17) and -139/36?
1008
Calculate the common denominator of (-24)/(-12 - 0) + 5/11 and -3/7.
77
Let l be (-14)/42 + (-272)/(-6). Suppose -4*q = q - l. Calculate the least common multiple of (6 - (4 - 1)) + 2 and q.
45
Let v be 2/4 + 1637197/10. Let m = 161009 - v. Let p = m - -5439/2. Find the common denominator of p and 97/8.
40
Let j = -238/9 + 1295/18. Suppose -5*d + k = 16628, -3*d - 13300 = d - 2*k. Let l = d - -13229/4. What is the common denominator of j and l?
4
What is the common denominator of 38/25 and 671/(-44)*(-8)/(-10)?
25
Calculate the common denominator of -2*((-69)/(-22) - 1) and (-16)/24*4/(160/(-684)).
55
Let h = -24300071/168 + 144644. Calculate the common denominator of -61/12 and h.
168
Let o = -1 + 4. Suppose -43 + 10 = o*s. Let p = 25 + s. What is the lowest common multiple of p and 2?
14
What is the lowest common multiple of (-2)/(-2)*(0 + 10) and 10?
10
Let y be 212/(-48)*-806 + -1. Let z = y + -3543. Let s = 29/4 - 515/44. What is the common denominator of z and s?
66
Let f(t) = -12*t**2 - 13 - 7*t**2 - t**2 + 3*t + 17*t - t**3. What is the smallest common multiple of 24 and f(-21)?
24
Suppose 4*y + 312 = 2*d - 0*y, -310 = -2*d + 2*y. Calculate the smallest common multiple of 98 and d.
1078
Let u be -6*(1 - 69/6). Let r = 28 - 34. Find the common denominator of (u/r - -2)/(-2) and -10/9.
36
Let k = -2015/2 + 1096. Let r = k - 1627/18. Calculate the common denominator of 2/11 + 848/(-66) and r.
9
Suppose 3*x = -4 - 5. Let t = -243 - -253. Calculate the least common multiple of (((-66)/(-1))/x)/(-1) and t.
110
Let y = -2 - -133. Let i = y + -109. Calculate the least common multiple of 4 and i.
44
Let o = -6283/2632 - -4/329. Let g = -809/4 + 203. What is the common denominator of g and o?
8
Suppose 3*s + 12 = 0, 2*q + 2*s = s + 32. Calculate the least common multiple of q and 354.
1062
Suppose 7*r = 22*r - 270. What is the least common multiple of r and 30?
90
Let k = 52 - 50. Suppose -2*b = -4*b + 4, k*o - 2*b = -78. Find the common denominator of -23/33 and o.
33
Suppose -66 + 22 = -4*r. Let i = -9 + r. Suppose i*m - 4 = 3*j, 21 + 39 = 5*m + 5*j. Calculate the smallest common multiple of 3 and m.
24
Let i(y) = -y**3 + 3*y**2 + 2. Let j be i(0). Suppose -t - 1 = q + 3*t, 0 = j*q - t - 7. Calculate the least common multiple of 3 and q.
3
Let o = 107379677/582 - 184501. What is the common denominator of -58/27 and o?
5238
Let c = 56 - 199/2. Let d be -6*(3 - 0)/(-9). What is the common denominator of c and (-76)/(-10) + d/(-4)?
10
What is the common denominator of ((-4246)/(-280))/11 + 16/28 and -17/16?
80
Suppose -4*l + 18 = g, 3*l - 13*g = -14*g + 14. What is the lowest common multiple of 308 and l?
308
Find the common denominator of (90/16 - -1)*(2 - -2) and -19/12.
12
Let y = -493 + 685. Calculate the least common multiple of 3 and y.
192
Let c = -17 + 39. Let q(l) = 4*l**3 + 2*l + 1. Let b be q(-2). Calculate the smallest common multiple of c and (-51)/(-5) + 7/b.
110
Let r = 628 - 408. What is the lowest common multiple of r and 44?
220
Let h = 2 + 3. Let o = 283 + -280. Suppose -h*d = -3*s + 31, -s + 20 = s - o*d. Calculate the lowest common multiple of 11 and s.
77
Suppose 0 = -4*h - 5*n + 1110, -850 = -3*h + 4*n + n. Find the common denominator of (-4081)/630 + 3 + 2/(-15) and (3/(-8))/((-22)/h).
198
Calculate the common denominator of (-109)/(-15) - (-4)/10 and ((-28)/35)/(36/(-260)).
9
Let h = -8888539 - -3768738383/424. Let n = h + -294/53. Find the common denominator of n and 71/27.
216
Suppose -13*y + 25*y = 288. What is the least common multiple of y and 52?
312
Suppose -2*x - 3*f - 87 = -7*x, 0 = -2*x - 5*f + 10. What is the common denominator of (-62)/20 - (-1)/(-4) and x/(-30) - (-79)/20?
20
Let i = 233033/28 - 8321. What is the common denominator of i and 89/44?
308
Let b(s) = 5*s**2 - 5*s - 4*s**2 - s + 5*s. Let c be b(0). Suppose -4*d - 38 = -5*u, c*u = -u + 5*d - 5. What is the least common multiple of 8 and u?
40
Let t = 403/44 + 9/220. Let r be (-3)/2 - (-10)/(-4). What is the common denominator of t and (-61)/(-12) + 1/r?
30
Let c = 109 - 105. What is the smallest common multiple of ((-3)/c)/(48/(-128)) and 6?
6
Let i = 20/7 + -727/252. Let u = 41/36 + i. What is the common denominator of u and -15?
9
Suppose 0 = y - 3*g - 39, -2*g = -3*y - 4*g + 62. What is the lowest common multiple of y and 8?
24
Let v(s) = s**3 + 8*s**2 + 5*s - 4. Suppose 0 = 5*f + g - 16 - 17, 3 = -f - 5*g. Calculate the least common multiple of v(-7) and f.
70
Suppose 0 = -7*r + 8 - 1. What is the smallest common multiple of -1 + r + (-60)/(-3) and 12?
60
Let b = 2/3637 + 214547/65466. Let n = -8/43 + -1891/1161. Calculate the common denominator of n and b.
54
Find the common denominator of 73/40 and (3/(-48))/((-240)/(-860)).
960
Find the common denominator of 18/11 and 2*(-15)/2200*508/6.
110
Suppose -5*x = -5*k + 3325, 3*x - 5*k + 544 = -1441. Let t = -2 + 8. What is the common denominator of t/(-30)*x/(-8) and -43/20?
20
Let l = 8 + -5. Suppose -44 = -o - l*o. What is the least common multiple of (-2 - 0) + 0 - -4 and o?
22
Let o = 4 + -4. Suppose -4*l + 3*q = -5 + 4, 4*q = 4*l. Calculate the common denominator of o + 147/9 - -2 and l.
3
Suppose 40*j + 7 = 39*j. Calculate the lowest common multiple of 7 and (1 - -2) + (112/j)/(-8).
35
Let t be ((-9)/5)/(4/20). Let a(z) = 43*z - 9. Let y be a(t). Calculate the common denominator of ((-286)/y)/((-2)/(-15)) and -91/8.
24
Let w(z) = -7*z + 78. Let d = 123 + -115. Suppose y + 16 = 2*y. Calculate the smallest common multiple of y and w(d).
176
Suppose -4*u + 21 = -39. Suppose 8*c = 5*c - u. Let q(z) = z**3 + 7*z**2 + 8*z + 6. Calculate the smallest common multiple of q(c) and 4.
16
Let p(x) be the first derivative of -x**2 - 3*x - 4. Let z be p(7). Let u = z + 21. What is the smallest common multiple of u and 18?
36
Let r = -49/5490 + -2/915. Calculate the common denominator of 107/150 and r.
450
Let z = 39 + -24. Let h(q) = 3*q. Let m be h(3). Calculate the smallest common multiple of 29 and m/6*10/z.
29
Suppose 2*n + 6*n - 3552 = 0. Calculate the common denominator of (-83)/8 + 0 + 0 and 1*(-27)/840*n/9.
280
Let z(n) = n**2 + 21*n - 12. What is the lowest common multiple of z(-22) and 11?
110
Let u be (9/(-63))/(7765/3883 + -2). Let t = -561 + u. Find the common denominator of ((-54)/(-22))/3 + 1 and t.
77
Let h = -19 + 20. Find the common denominator of -111/10 and 2/h + (-123)/24.
40
Suppose -35 = -4*r + 13. Let y = 31 - 73. Let o = -38 - y. What is the lowest common multiple of o and r?
12
Calculate the common denominator of -33/14 and ((-374)/(-204))/(82/3).
1148
What is the common denominator of 19/2 and 20/(-33) + (-82)/451?
66
Let s = 482960/7 - 69152. Let y = -76078762/35 + 2173512. Let a = s - y. Calculate the common denominator of a and -87/10.
10
Let j(x) = 2*x - 8. Let i be (1/(-2))/(111/(-28) - -4). Calculate the lowest common multiple of j(7) and (-224)/(-12) + i/21.
18
Suppose -2*p = -0*p - 5*y - 6686, 0 = 4*p - y - 13372. Let q = -26779/8 + p. Find the common denominator of 81/4 and q.
8
Let t(g) = -3*g**2 + 22*g + 2. Let r be t(7). Let p(i) = i**2 - 6*i - 17. Calculate the lowest common multiple of 76 and p(r).
380
Let l = 550/203 + -178/29. Find the common denominator of l and -41/134.
938
Suppose -102 = -s - d, 8*s - d = 10*s - 209. Let p = -77 + s. Calculate the smallest common multiple of 3 and p.
30
Suppose -3*b + 23120 = 2*b. Let n = b - 27665/6. Calculate the common denominator of -74 + 68 - (-107)/11 and n.
66
Let i = 31 + -7. What is the smallest