 denominator of (-47)/(-14)*1 + 1 and g.
14
Calculate the lowest common multiple of 30 and 1 - ((-192)/1824 - (-7674)/(-19)).
810
Let s be (3/54)/((-436)/6). Let w = -47743/1308 - s. Find the common denominator of w and ((-34)/24 - -1)/(180/3000).
18
Calculate the common denominator of -41/8 and (-188)/(-4464) - 10/45.
744
Suppose -3*x + 3*j - 12 = 0, 9*x + 3*j = 6*x + 6. Calculate the smallest common multiple of (x + 0)/((-1)/12) and 16.
48
Let r = -13 - -33. Let w = r + -9. What is the lowest common multiple of 10 and w?
110
Let l be (2/4)/(2*(-7)/(-84)). Let s = l + 12. What is the lowest common multiple of s and 3?
15
Let o be (1/3)/((-44)/450087). Let a = o + 3428. Find the common denominator of a and -1/6.
12
Suppose -27 = 5*q + 18. Let l = q + 7. Calculate the smallest common multiple of 3 and (-24)/l - (5 - 2).
9
Let s = -16 - -32. Find the common denominator of 113/6 and (-297)/(-243)*2/(s/3).
24
Suppose 0 = -5*j - 20, 0 = -2*y - 3*y + 5*j + 245. Calculate the lowest common multiple of y and 2.
90
Calculate the common denominator of -21/424 and -1 - (4 - 55/(-80)).
848
Suppose -3*b = -b - 12. Let g = b + 19. Calculate the least common multiple of 18 and 555/g - (-2)/(-10).
198
Let t = 3002 + -1261. Let s = t + -15712/9. Find the common denominator of 37/9 and s.
9
Let w = -35309/16 + 2213. Find the common denominator of -65/72 and w.
144
Let n = 42 + -40. Calculate the lowest common multiple of 14 and -2 - -11 - (-3*n - -3).
84
Suppose 0 = 5*c - 10, -3*u + 4*u - 4*c - 16 = 0. Let d = -22 + u. Find the common denominator of -18 and d/(-13) - 5520/(-728).
7
Let u(z) = 12*z + 6. Let w be u(19). Suppose 4*t - w = -5*t. Calculate the smallest common multiple of t and 22.
286
Suppose -d + 5*g = -10799, -4*d - 3*g + 30721 = -12406. Let m = 237145/22 - d. Find the common denominator of m and -37/60.
660
Let t = 1695/109 + 638805/872. Let d = -64129291/85720 + t. Let g = d - 207867/21430. Calculate the common denominator of -9/20 and g.
20
Suppose -2*g + 19 = 3. Let j(y) = 3*y**2 + 40*y - 20. Calculate the least common multiple of j(-14) and g.
8
Let r(q) = -q**3 + 7*q**2 - 2*q - 12. Let z be r(6). Suppose -2*j - 4 = 2, -4*u + z = 4*j. What is the smallest common multiple of u and 2?
6
Let k = -1381/3 + 451. Find the common denominator of -2 - (-5)/((-150)/69) and k.
30
Find the common denominator of ((-40)/(-1200))/((-3)/((-189)/(-30))) and -101/20.
100
What is the common denominator of 59/348 and (1001/(-182))/(-1*15/(-2))?
1740
Let w = 271130/2379 - -400/183. Let c = -50339/442 + w. Find the common denominator of -67/4 and c.
68
Let y(i) = i**3 - 6*i**2 + 6. Let u be y(6). Let t = 1487/7 - 214. Find the common denominator of (2/u)/((-5)/(-57)) and t.
35
What is the common denominator of 47/112 and 809/1120 + (22/(-10) - -2)?
224
Suppose 2*p - 5 = 11. Let m(o) = 328*o - 323. What is the lowest common multiple of m(1) and p?
40
Suppose 0 = 2*r - 3*j - 5, 0*r + 4*j = -5*r + 1. Calculate the common denominator of r/(-5) - 2395/(-1100) and 27/20.
220
Let j = -314527/6354 - -2/3177. Find the common denominator of j and -1/119.
238
Find the common denominator of -3 - 9 - (-7758)/432 and -77/60.
120
Let s = -263 + 515. Calculate the least common multiple of 308 and s.
2772
Let b(n) be the second derivative of n**4/12 - 8*n**3/3 - 17*n**2/2 + 9*n. Let m be b(17). Suppose m*z - 56 = -2*z. Find the common denominator of -99/4 and z.
4
Let v = 30 - 18. Let i(f) = -f**2 - 1. Let p(c) = 6*c**2 - 13*c + 19. Let m(h) = 5*i(h) + p(h). What is the lowest common multiple of 6 and m(v)?
6
Let y = 18 - -82. Calculate the smallest common multiple of y and 14.
700
Let c(b) = 28*b + 270. What is the least common multiple of c(-9) and 72?
72
Let t(k) = k**3 + k**2 + 2*k - 2. Let n be t(2). Suppose -3*w + 1 = -n, 0 = -3*y + w + 43. What is the least common multiple of y and 18?
144
Let a(o) = -11*o - 56. What is the least common multiple of 103 and a(-6)?
1030
Let m be 0 + 305/152 - 2. Let w = 1025/152 + m. Calculate the common denominator of w and ((-6)/(-9))/(48/(-612)).
4
Suppose 0 = 120*r - 142*r + 858. Let b be -2 + 34*(-25)/(-6). Let n = b + -144. Calculate the common denominator of n and r.
3
Suppose 32*l = 38*l. Suppose l = -26*c + 24*c + 66. Calculate the least common multiple of 45 and c.
495
Let g = -1098729/74 - -14848. What is the common denominator of -97/16 and g?
592
Suppose 0 = 2*j + 3*q - 227, -2*j - 4*q + 7*q = -233. Let w = j + -87. Calculate the smallest common multiple of w and 12.
84
Find the common denominator of 79/316 - 166/832 and -19/36.
3744
Suppose 4*x + 8 = -5*f, 0 = -x + 2*f + 3*f + 23. Suppose -5*j - x*d + 16 = -9, 4*d - 22 = -j. Find the common denominator of (-589)/171 - (j - 0) and -4/7.
63
Suppose -s + 217 = 2*d + 4*s, -202 = -2*d - 2*s. Let q = -13177/234 + 753/13. Calculate the common denominator of -1 - (-38)/d*-3 and q.
144
Suppose 116 = 12*a - 88. Let i = 22 - a. Let r(z) = -z**2 + z + 4. What is the least common multiple of i and r(0)?
20
Suppose -4*o = -19*s + 23*s, -s = 3*o - 8. Let n(g) = -2*g**2 - 2*g**2 - 4 - g**3 - 3*g + 1. What is the least common multiple of 10 and n(s)?
90
Let r = 189 - 184. Suppose -3*s = -9 + 3. What is the lowest common multiple of s and r?
10
Let i(a) = 17*a + 584. Suppose 97 = 4*m - 0*m - o, 5*m = -5*o + 140. Calculate the common denominator of i(-32) and (102/m)/(4/(-5)).
10
Suppose -37*a + 80 = -33*a. Let d be (-3 + 4)*-4*1. Calculate the least common multiple of (d/3)/(2/(-30)) and a.
20
Let k = 122146 + -1096738/9. Let y = 565/2 - k. Calculate the common denominator of y and -2 + -1 - (1010/15)/(128/(-12)).
144
Suppose 451*o + 2 = 452*o, 3*o - 39 = -3*n. Let x(s) = s - 1. Calculate the smallest common multiple of n and x(5).
44
Let s be (0 - -2) + -6 + -1692 + 1. Find the common denominator of s/(-117) - (-4)/(-26) and 1/2 - 49/(-22).
33
Suppose -18*j + 16 = -17*j. Suppose 6*d = -j - 14. Calculate the common denominator of 44/7 and d + 6 - 114/21.
7
Let w = -597 + 619. What is the least common multiple of w and 80?
880
Let l = 45 - 39. What is the smallest common multiple of (4*3/4)/(l/4) and 8?
8
Suppose 0*f - 27 = f - 5*y, -y = 4*f + 24. Let i(z) = -z**2 - 5*z + 8. Let u be i(f). What is the common denominator of u/(-9) + 3/(-12) and 117/14?
84
Suppose c - 4*t = 23, 5*c + 8 = 6*c - t. What is the smallest common multiple of c and 45?
45
Let f(b) = b**2 - 2*b + 2. Let g be f(-5). Let q(h) = -23*h + 5. Let j be q(-2). Let t = j - g. Calculate the lowest common multiple of t and 12.
84
Suppose 0*x - x + 19 = 2*j, 4*j - 35 = x. What is the least common multiple of j and 39?
117
Let n = 29/2 + -53/3. Find the common denominator of 43/6 and n.
6
Let y be 2/10 + 232/40. Suppose -c - 15 = -y*c. What is the least common multiple of c and 15?
15
Let r(h) be the first derivative of -h**3/3 - 8*h**2 - 28*h + 10. Calculate the lowest common multiple of r(-8) and 21.
252
Let j(h) = 0*h + 9*h**2 - 2 - h - h**3 - 3*h**2. Suppose 12*z - 8*z - 12 = 0. Calculate the least common multiple of 2 and j(z).
22
Suppose -8 = -4*d - 3*k, -3*k = -3*d + d + 4. Let u be (-80)/(2/194*d). Let x = -124179/32 - u. Calculate the common denominator of -7/2 and x.
32
Let t = -54 + 53. Calculate the common denominator of 32/9 and (-9)/((-225)/290) + t + 0.
45
Let n = -303 - -575/2. Let b be (2493/12 - 3) + -4. Let v = b - 202. Find the common denominator of v and n.
4
Suppose -6*v + 5 = -v. Suppose g + v - 7 = 0. Suppose 0 = 2*x - g*x + 56. What is the smallest common multiple of 22 and x?
154
Let n(h) = h + 19. Suppose 3*a + 47 = 8. What is the lowest common multiple of n(a) and 3?
6
Let k = -863727/2582 + 24/1291. Let x(i) = -i**3 + 3*i - 369. Let o be x(0). Let v = o - k. Find the common denominator of 73/4 and v.
4
Suppose 0 = 3*x - x + 176. Let o = x - -29. Find the common denominator of -2/9 and o/(-3)*36/(-48).
36
Let g = 1012490/9442719 - -2/36179. What is the common denominator of g and -52/261?
261
Let d = -871292502320161/67893687061086 - -1290/826741763. Let p = 2/13687 - d. Calculate the common denominator of -15/22 and p.
66
Let w be 10/6*942/(-4). Let u = w + 404. What is the common denominator of (-21)/18*274/(-14) and u?
6
Let u = 15 - 0. Let v be 12*(-1 - u/(-10)). Suppose 5*l + 33 = -2*f, -5*l + v = -