- 465. Find the common denominator of ((-28)/70)/(q/178 - 1) and 43/16.
80
Suppose n = -c + 23, 0 = 2*c - 0 - 2. Let u = -6 - -9. Calculate the least common multiple of n and 1/u + 68/12.
66
Suppose -4*n - 16*w = -768, -2*n = 38*w - 33*w - 369. Calculate the lowest common multiple of 64 and n.
2752
Let b = -28116 - -28118. What is the least common multiple of 4155 and b?
8310
What is the common denominator of (-1)/8*345/253 and 20/209?
1672
Let w be -4*8/(-32) - 2. What is the common denominator of 43/56 and (-42)/(-20)*(90/48)/w?
112
Let l(s) = 310*s**2 + s + 108. What is the least common multiple of l(2) and 1050?
9450
Let t = 28 - 7. Suppose 3*m - t = -4*m. Let c(u) = 3*u + 11. What is the lowest common multiple of 8 and c(m)?
40
Let w be (112/12)/((-4)/(-6)). Suppose 4 = 2*o - w. Suppose y + 11 = b - 4*y, -b + 4*y + o = 0. What is the lowest common multiple of 2 and b?
2
Calculate the common denominator of 103/2318 and (-10)/1281*-85*(-63)/(-420).
16226
Let w = 2300731/12 + -191577. Let i = 486041/3228 - w. Calculate the common denominator of i and 51/22.
5918
Suppose -5*h + 7 + 78 = 0. Let i be (4 - h) + 5/(-1). Calculate the common denominator of ((-114)/18)/(14/i) and 64/9.
63
Suppose -214 - 166 = -5*k. Suppose 2*u + 3*w + 87 = 6, 4*u - 2*w = -138. Calculate the lowest common multiple of k and (-126)/27*u/21.
152
Let m(v) = 2*v**2 + 41*v - 85. Suppose 6*d + 6*d = -276. Calculate the smallest common multiple of 30 and m(d).
30
Let x(f) = 14*f**2 - 4*f - 5. Let u = 43 - 47. Let c(b) = 14*b**2 - 4*b - 5. Let a(w) = u*x(w) + 5*c(w). Calculate the common denominator of a(-1) and 33/19.
19
What is the least common multiple of (-606)/(-1515) + (-16)/10*-11 and 10/(-25) - 6/20*-18?
90
Let r(m) = -m**3 - 121*m**2 + 355*m - 442. What is the least common multiple of 84 and r(-124)?
9996
Let y be (1 + (-3)/(-21))/(10/70). What is the lowest common multiple of (6 + 6)/(y/36) and 6?
54
Let f = 514/865 + 3132541/5190. Let o = -607 + f. Calculate the common denominator of o and -22/589.
3534
What is the common denominator of -139/192 and (253 - -1)*(-8)/288?
576
Calculate the common denominator of -52/55 and (96/41880)/(-4 + 246/45).
19195
Let a = 1/7327 + -696081/117232. Let u = 402/29 - 5665/348. Calculate the common denominator of u and a.
48
Let r = 23 + -11. Let s be (-3 - -1)*(-1 - -2). Calculate the smallest common multiple of 517/22 + s/(-4) and r.
24
Find the common denominator of 47/462 and 2792/(-1008) - (-1 - (-35)/45).
462
Let m(t) = -t**2 - 15*t - 14. Suppose d - 88 = 4*o - 36, 4*o - 44 = -2*d. What is the lowest common multiple of d and m(-9)?
160
Suppose 5*s = 4*s + 5. Suppose s*u = -u + 36. Suppose y = 3*r + 12, -2*y - 4*r = 8 - 2. Calculate the lowest common multiple of u and y.
6
Let u(w) = w**2 + 3*w - 1. Let m be u(-4). Suppose a + m*l - 5 = 12, 12 = a + 2*l. Calculate the least common multiple of 16 and a.
16
Calculate the common denominator of -63/158 and (2/4)/(-1 + (-1840)/(-1552)).
2844
Suppose -35*i = -49*i + 7070. Calculate the smallest common multiple of 45 and i.
4545
Suppose -i = 2*s - 12042, 105*i = 101*i - 2*s + 48204. Calculate the lowest common multiple of 20 and i.
120540
Suppose -20*z - 67 = -347. Let u(t) = t**3 - 15*t**2 + 15*t + 1. Calculate the lowest common multiple of 33 and u(z).
165
Suppose 63*i - 4928 = 25*i - 39*i. What is the lowest common multiple of 40 and i?
320
Let j(q) = 20*q + 114. Let f be j(-6). Let k = -18767/24 - -3123/4. What is the common denominator of k and (226/(-48))/((-3)/f)?
24
Let x(p) = -p - 2 - 4*p + 4*p + 8. Let z be x(2). Calculate the lowest common multiple of 11 - (-3 + z + -1) and 25.
275
Suppose 29*k - 458 - 383 = 0. Let u = -67 + 105. Let t = u - k. What is the smallest common multiple of 11 and t?
99
Calculate the common denominator of -19/435 and (744/216)/(165/(-18)).
4785
Suppose -h + 35 = 2*q + 26, -5*q - 5*h = -25. Suppose 0 = o - 14 + q. Calculate the smallest common multiple of 6 and o.
30
Let c = -22 - -43. Let h be 10/35 + 108/63. Suppose 0 = -2*d + h*a + 14, 2*d + 7 - 5 = -2*a. What is the least common multiple of d and c?
21
Let p(t) be the second derivative of t**4/12 - t**3/2 - 29*t**2 - t + 54. Calculate the smallest common multiple of 2 and p(-13).
150
Let b = -20 + 34. Let d = -415 + 422. Suppose 0 = -8*z - d*z + 180. What is the lowest common multiple of b and z?
84
Let m be 24/10*110/44. What is the common denominator of -31/6 and ((-52)/728)/(2*m/(-1442))?
12
Suppose 26 = -3*t + 4*y, -t = -4*t - y - 1. Let m be ((-27)/t)/(12/168). Find the common denominator of 18/m*(1 - 30 - 0) and 23/6.
42
Suppose p = 4*p - 6. Suppose 5*u = p*u - 117. Let h = -30 - u. What is the smallest common multiple of h and 30?
90
Calculate the lowest common multiple of 13 + (11 - (4 + 11)) and 261.
261
Let f = 23799 + -666469/28. Find the common denominator of 167/30 and f.
420
Let g be (2 + 12530/(-30))*12. Let b = -40 + 18. Find the common denominator of -117/10 and 0 + 4/b - g/(-1848).
210
Calculate the common denominator of ((-2)/(-51))/((-14016)/3575456) + 2 + 8 and -7/30.
111690
Let u be (-9)/((-135)/156)*(-10)/(-4). Suppose 2*b + u = 3*t + 7*b, 4*b - 39 = -5*t. What is the common denominator of (-530)/(-42) - 2/t and 17/24?
24
Let o(d) = d**2 - 14*d + 17. Let v be o(13). Suppose -v*h - 12 = -8*h. Suppose -h*f - f = -48. Calculate the smallest common multiple of 27 and f.
108
Let g(q) be the third derivative of 11*q**4/6 + q**3/3 + 2*q**2 + 11. Calculate the lowest common multiple of 18 and g(1).
414
Suppose l + 4 = 6, 2*z - 4*l - 50 = 0. Suppose -3*w + 8 = -5*a - z, -2*a = -2*w + 22. Calculate the lowest common multiple of 27 and w.
27
Suppose 3*r + 1189*j - 1187*j = 140, -r - 3*j = -28. What is the lowest common multiple of 1204 and r?
15652
Let o(p) = 6*p - 102. Let c be o(0). What is the common denominator of ((-10)/(-4))/((-12)/c) and 9*(-4)/12 - 166/(-20)?
20
Let v(t) = 1012*t**3 - 2*t - 2. Let b be v(-2). What is the common denominator of 2/12 - b/4275 and 119/30?
150
Let p = -379/632 - 2/79. Let i = p - 157/24. What is the common denominator of -89/24 and i?
24
Let k be (-1 - 41)*(-1 - -11)/30. Let u(y) = 2*y + 37. Calculate the least common multiple of 262 and u(k).
2358
Let n(k) = 31*k**2 + 7*k - 18. Let z be n(-7). Let b be 2803/z + 8/48. Let p = b + -5/363. Find the common denominator of p and -13/4.
12
What is the common denominator of 23437/(-2916) - ((-1219)/159 + (-2)/6) and -31/6?
2916
Let r = -762 + 1570. What is the smallest common multiple of r and 12?
2424
Suppose -15 = -3*k - 18. Suppose -41 = -12*i - 29*i. Calculate the least common multiple of 10 and i/k + 56/7.
70
Let z be ((-9500)/(-30))/(0 + (-6)/(-9)). Calculate the common denominator of z/(-57)*(-21)/10 and -46/3.
6
Let d(w) = 14*w**2 + 141*w + 20. Calculate the smallest common multiple of 120 and d(-10).
120
Let j(o) = 3*o**3 - 4*o**2 + 2*o - 16. Let i(d) = -10*d**3 + 11*d**2 - 5*d + 49. Let g(k) = 2*i(k) + 7*j(k). What is the lowest common multiple of g(6) and 48?
240
Let v be ((-99)/(-15) - 7) + (-608)/5. Let j = v - -118. Calculate the lowest common multiple of 4/j + 0 + 3 and 35.
70
Let t(d) = d**2 - 15*d + 36. Let u be (-23)/(-92) - -2*(-118)/(-16). What is the smallest common multiple of t(u) and 20?
180
Suppose -72*b = -b - 20235. Calculate the lowest common multiple of 2 and b.
570
Find the common denominator of 345/84 - (1 + 3) and (-621)/(-12)*2/(-42).
28
What is the smallest common multiple of (7/(-4))/(1/(-12)) and -16 - -25 - (-30)/5?
105
Let k be ((4 - -3)/(-7))/((-26)/(-23648)). Let u = k + 911. Calculate the common denominator of u and 44/3.
39
Let s be 1/(((-42)/303177)/(2/4)). Let q(y) = -73*y**2 + 7*y - 3. Let x be q(-7). Let p = s - x. Find the common denominator of -65/4 and p.
4
Let h(k) = -k**3 + 7*k**2 - 10*k + 25. Let g be h(6). Calculate the common denominator of g*977/(-110) + (-2)/(-11) and -14.
10
Suppose -35 = -6*r + 43. Suppose 5*x - 43 = -5*y - r, -3*y = -x + 18. Suppose -2 = h, 2*h = 3*a - h - 12. What is the smallest common multiple of x and a?
18
Let w(f) be the second derivative of 5*f**3/6 + 15*f**2 - 166*f. Calculate the smallest common multiple of 7 and w(-4).
70
Let h = -641 - -1759. What is the smallest common multiple of h and 26?
1118
Let b be (-10)/