common multiple of z(p) and 160.
160
Suppose -3146 + 374 = -84*x. Calculate the lowest common multiple of 1425 and x.
15675
Let l be (-2 - -9) + -2 + -4. What is the common denominator of -19/100 and 12/(-8)*(201/180 - l)?
200
Let w(g) = -g**2 - 9*g + 42. Let h be w(-12). Suppose -3*m + h*m = 12. Calculate the least common multiple of m and 1.
4
Let z(y) be the second derivative of 0 + 14*y + 19/3*y**3 + y**2. Calculate the lowest common multiple of z(1) and 6.
120
What is the common denominator of (2/(-315))/(9*(-18)/(-23490)) and 43/6?
126
Suppose m = 4*m + 39. Let v = m - -21. Let k = 322 - 300. What is the smallest common multiple of v and k?
88
Let r = 16690857216393773/15098 - 1105501206014. Let n = r - 5/7549. Let s = -573 + n. What is the common denominator of s and 63/10?
10
Suppose -13*l = -20*l + 14. Let j be 1/3 + 1851/(-68400)*l. Let b = -2/475 + j. What is the common denominator of 5/8 and b?
40
Let a = 125641/313500 - 147/1375. Calculate the common denominator of 3/((-192)/(-428)) - 5 and a.
912
Let u = -11833 - -11835. Calculate the smallest common multiple of 162 and u.
162
Let w(k) = k**2 - 39*k + 395. What is the lowest common multiple of w(14) and 105?
315
Suppose -100 = -3*w - 2*u, 44 = -4*w + u + 192. Suppose x - w = -4*d - 2*x, 5*d - x - 45 = 0. What is the least common multiple of d and 2?
18
Suppose 0 = 2*a - 33 - 7. Suppose -36 = 13*c - 22*c. Let f = c + 18. What is the smallest common multiple of a and f?
220
Suppose -b + 3*b - 8 = 0. Suppose b + 0 = s. Let k = 207 + -189. What is the lowest common multiple of k and s?
36
Let a = 202/13 + -110506/7085. What is the common denominator of a and -61/3?
1635
Suppose 17*h = 31*h + 392. What is the smallest common multiple of (2 + 5)*(-40)/h and 6?
30
Let l(k) = 6*k - 17. Suppose 5*x - 4*w = 46, -2*x + 3*x - w = 10. Calculate the least common multiple of 11 and l(x).
209
Let j = 84 + -83. Let a be (-20)/10*j/2 - -20. Suppose 0 = 4*y + a - 91. What is the least common multiple of y and 20?
180
Suppose 4*q = 19 - 3, -o = 4*q - 194. What is the common denominator of (-174)/77 - (-2 + (-64)/(-28)) and -4 + 2/8*o?
22
Let h(m) = -m**2 - 7*m - 10. Suppose 5*q = 4 + 11. Suppose q*u - l + 22 = l, 5*l = 4*u + 41. Calculate the least common multiple of h(u) and 12.
12
Find the common denominator of (825/99)/((-12068)/(-6)) and 31/2.
6034
Suppose 6*h - 3*h - 1084 = -4*l, h = -5*l + 365. What is the least common multiple of h and 900?
1800
Let n(h) = -6*h - 7. Let a be n(-1). Calculate the least common multiple of 154 and (2 - 2 - -5) + (1 - a).
154
Let d = -656 - -282. Let j = -334 - d. What is the least common multiple of 55 and j?
440
Let l = -8/9 + 563/360. What is the common denominator of (-1304)/90*6/(-16) and l?
120
Suppose -4 = -3*c - 1, 3*c + 61 = 2*z. Suppose -z + 4 = -7*w. Calculate the least common multiple of 2 and 4 - 8*(-5 + w).
12
Suppose 5*v = 3*n - 690, 12*n + 4*v = 14*n - 464. Calculate the lowest common multiple of n and 640.
7040
Suppose -4*p = -49 + 29. Suppose -6*u + u - 110 = 3*h, -3*u + 138 = -p*h. Calculate the common denominator of h and (34/(-114))/((-3)/(-18)).
19
Let o be 0 - 4/((-12)/(-165)). Let x = 61 + o. Suppose 0 = -5*z - 4*a + 14, -2*z = -2*a - 0*a - 2. What is the lowest common multiple of z and x?
6
Let n = 1/68 + -13/306. Let m = -1/49144 + 60840329/2801208. Let u = m + -2383/152. Calculate the common denominator of n and u.
72
Suppose -1617 = -m + 5*v, 2476 = -3*m + 2*v + 7327. Calculate the least common multiple of 343 and m.
11319
Let j = -5604/11 - -16850/33. Let c = -29923/63 + -442/7. Let o = -1077/2 - c. Calculate the common denominator of o and j.
198
Suppose -13*q - 1 = -12*q, 3*b = -5*q + 55. Suppose -4*x = b - 56. Calculate the least common multiple of x and 9.
9
Suppose -51*k - 3330 = -52*k. Suppose 35*c = k + 3600. Calculate the lowest common multiple of c and 72.
792
What is the smallest common multiple of 231 and (-220)/(4*11/(-33))?
1155
Let v = -3616 + 3646. Suppose -2*j - 4*m + 84 = 2*j, -3*j + 60 = 4*m. Calculate the least common multiple of j and v.
120
Suppose 5*n - 11 = -s, -5*s + 107 = -n - 0*n. Suppose -a = 6*a + s. Calculate the common denominator of (-11)/(77/30) + a and 37.
7
What is the common denominator of 121/600 and 1111/(-404)*15/(4 - 1)?
600
Let q = -59705/2 + 895577/30. Let o = 2/297 + -19313/1188. Calculate the common denominator of q and o.
60
Let b be 0*(-4)/12 - -347. Let v = -221 + b. What is the least common multiple of 70 and v?
630
Let w(q) = -2*q**2 - 161*q + 2874. Calculate the smallest common multiple of w(15) and 2202.
6606
Let s = 11657/4 - 2900. Find the common denominator of s and ((-1457)/(-1316))/(5/6).
140
Suppose 0 = 4*d - 4*y - 252, 2*d + 3*y + 15 = 151. What is the common denominator of ((-93)/(-54) - 2)*d/(-25) and -34/11?
198
Let a be (164 + 1)*(32/(-6))/4. Let x = a - -330. What is the smallest common multiple of 10 and x?
110
Find the common denominator of 17/7 and 195/3*(-8 - (-52692)/6588).
3843
Let n(m) = 54*m + 42. Let p(c) = -11*c - 8. Let q(i) = 4*n(i) + 21*p(i). Let z be q(-7). Let w = -97 + z. What is the least common multiple of 2 and w?
8
What is the smallest common multiple of 8 and ((-3636)/(-99))/(5/55)?
808
What is the least common multiple of (-402)/(-8) + ((-20)/5)/16 and 250?
250
Let b = 22 + -14. Let h = 1016 + -1014. Calculate the smallest common multiple of b and h.
8
Let y(j) = -15*j + 76*j**2 - 21*j**2 - 29*j**2 - 3 - 27*j**2. Let c = 2 + -16. What is the least common multiple of y(c) and 11?
11
Calculate the least common multiple of (-15)/75 + 247/10 - (-11)/(-22) and 20.
120
Suppose 3*q + v - 2708 = 1021, -3*v - 6201 = -5*q. Calculate the least common multiple of 552 and q.
4968
Let p be (-8)/3*(-3)/4. Let h be (5 - p)/((-3)/(-4)). Suppose h*w - u = 237, 43 = w - 5*u - 21. Calculate the least common multiple of 10 and w.
590
Let u = 3 + 12. Suppose 11*f - u*f = -8. Suppose 5 = 5*a, 5*a - 152 = -f*d + 37. What is the least common multiple of 18 and d?
828
What is the least common multiple of (-23 - -2)/(7/(7/(-3))) and 12?
84
Suppose -4*f + 137 = -3*b, -f + 29 + 9 = -2*b. Let t(r) = 10 - 12 + f - 2*r. Calculate the lowest common multiple of t(0) and 20.
60
Let x = 6/1393 + -43417/54327. Find the common denominator of x and -41/663.
663
Suppose 1086 = -10*z - 1014. Calculate the common denominator of -109/140 and ((-20)/z)/(224/(-2163)).
560
Suppose -2180 = -3*z - 5*j, -2970 = -4*z - 81*j + 87*j. What is the lowest common multiple of z and 70?
1470
Let h = -176 + 180. Suppose 2*t - 10 = 0, -5*j - h*t + 46 = -64. What is the lowest common multiple of 81 and j?
162
Let p = -9/6785 - -382579/1974435. What is the common denominator of p and 37/3?
291
Suppose 7*n - 170 = -205. What is the smallest common multiple of 10 and n/(105/(-50) - -2)?
50
Find the common denominator of (-3)/7 + (-17948)/(-31360) and -79/40.
160
Suppose 4*o = 12, -3*f = 4*o - 13 - 11. Suppose 0 = 3*q + f + 2. What is the smallest common multiple of ((-4)/q)/((-30)/(-225)) and 6?
30
Let g = -5274 + 26377/5. What is the common denominator of g and -38/1697?
8485
Let j = -219 + 369. Suppose -w + t = -11, -5*t - 7 - 8 = -w. What is the lowest common multiple of 8 and 2/5*j/w?
24
Suppose 0 = 20*v - 59*v + 27768. Suppose -v = -14*i + 716. Calculate the lowest common multiple of 16 and i.
816
Suppose -168 = z + 132. Calculate the common denominator of -65/24 and 10/(-25) + 55/z.
24
Suppose -2*c = 4*f + 22 - 0, 0 = 4*c - 4*f + 44. Let z be (-13 - c)*18/(-4). Suppose -z*d - 275 = 2*d. Find the common denominator of 39/8 and d.
8
Let g = -3162 - -3156. Let b(u) be the second derivative of -u**4/12 - 11*u**3/6 - 8*u**2 + 2*u. What is the least common multiple of b(g) and 12?
84
Let x(r) = -3*r - 214*r**2 + 14*r - 4 + 213*r**2. What is the lowest common multiple of x(7) and 36?
72
Let x = 30443/46000 + 2/2875. Let k(g) be the second derivative of g**5/20 - g**4/4 - 5*g**3/6 - 4*g**2 - 9*g. Find the common denominator of x and k(4).
80
Suppose 1 = -w, -6*q = -2*q - 5*w - 225. Let n(s) = -s**3 - 17*s**2 + 18*s + 45. What is the lowest common multiple of q and n(-18)?
495
Suppose 0*k = k - 3*p - 33, 0 = 3*k + 4*p - 47. Let l = k + -3. Let m(x) = 40*x**2 + 280*x + 16. What is the least common multiple of m(-7