is the common denominator of (21*(-24)/100)/((-4)/v) and b?
10
Let x(f) = -f**3 + 16*f**2 + 39*f - 30. Let h be ((-12)/(-2))/(18/54). What is the least common multiple of x(h) and 225?
1800
Suppose 40 = 4*r + 6*r. What is the smallest common multiple of 62 and 2 - (17/(-34))/((-2)/r)?
62
Suppose 0 = -4*y - 5*z + 121, 3*y - 24*z - 82 = -26*z. What is the smallest common multiple of y and 10?
120
Let m = 13/72 - 3043/504. Let k = 1344/19 + -5803/114. Calculate the common denominator of k and m.
42
Let k(z) = -z**2 - 259*z - 16344. What is the least common multiple of 420 and k(-117)?
3780
Suppose a = -2*w + 7, -7*w + 2*w + 5*a + 25 = 0. Suppose -4*t = 196 + 56. Let j = t - -89. What is the least common multiple of j and w?
52
Let y = 11 - 9. Suppose -2*i - 4*n + 56 = 0, 0 = -3*i - i - y*n + 82. What is the common denominator of (i/56)/(15/(-50)) and 61/20?
140
Let o(g) = g**2 - 4*g + 2. Let y be o(0). Suppose -v + y + 12 = 0. Suppose -v*c = -3*c - 132. What is the lowest common multiple of c and 6?
12
Suppose 0 = -3*d + 3, -3*d + 2*d - 107 = -3*s. Suppose -31*j + f = -s*j + 357, 3*f = -3*j + 207. Calculate the lowest common multiple of j and 16.
144
Suppose 20*v - 39 = 7*v. Suppose 0*o - v*o = -4*h - 445, o - 3*h = 140. Find the common denominator of -3/20 and (3/102)/(-4 + 625/o).
340
Suppose -6*k - 7*k = -286. Suppose 2*x - 42 = v, 0 = x - k*v + 19*v - 16. Calculate the smallest common multiple of x and 290.
3190
Let a be (-18)/(-20) + -1 + 35670/(-300). Calculate the smallest common multiple of 2 and 2/(1 - a/(-126)).
36
Let o(z) = -z**3 - 89*z**2 + 826*z + 182. Calculate the least common multiple of o(-98) and 6.
5670
Let q be ((-17)/(51/(-42)))/(-10). Let l = q - -21/40. Calculate the common denominator of l and -39/4.
8
Let k(g) = 286*g - 410. What is the least common multiple of k(3) and 1008?
4032
Let v be (-10)/(-8)*(-17502)/(-8). Let q = v + -2740. Find the common denominator of q and ((-2)/(-10))/((-12)/(-30)) + (-5929)/1176.
48
Let w(d) = 49*d + 70*d + 47*d - 2*d**2 - 198*d + 4. What is the smallest common multiple of 15 and w(-14)?
60
Calculate the least common multiple of ((-6)/(-5))/(2/20 - 0) and (-132)/(-55)*(-1 + (16 - 0)).
36
Suppose 0 = -3*x + 53*u - 54*u + 800, 0 = 4*x - 2*u - 1050. Calculate the smallest common multiple of 2 and x.
530
Let c = 23 - 21. Suppose 2412 = 4*d - c*d. Let x = d + -7319/6. What is the common denominator of 36 and x?
6
Let c = -66681/8 + 8339. Let d = -11111/55 - -202. Find the common denominator of c and d.
440
Suppose 0 = -4*s + 5*v + 911, 38*v + 696 = 3*s + 30*v. What is the lowest common multiple of 3920 and s?
7840
Let x be ((-413)/(-210) + -2)/(13484/491986). Let a = -3/6742 + x. Find the common denominator of -38 and a.
60
Suppose -3 = 3*j, 3*u + 2*j - 44 = 4*j. Suppose k - 1 = 5*o, 4*k + 1 = o - u. Calculate the lowest common multiple of 10 and ((-114)/14)/o - 17/119.
40
Let y(n) = 5*n + 76. Let x(j) = 2*j + 26. Let b(z) = 8*x(z) - 3*y(z). Suppose -k = 3*k - 92. Calculate the smallest common multiple of b(k) and 21.
21
Suppose -v - 5*y + 0 = 27, 2*y + 6 = 2*v. Let u be -262 - 4*1/v*2. Calculate the common denominator of 137/6 and (-3)/(-6)*(-164)/u.
258
Suppose 14*h = 9*h + 15. Suppose -5*v + h*v = -6. Suppose 3*q = -v*g + 6*q + 54, -5*q + 38 = 3*g. What is the smallest common multiple of g and 44?
176
Suppose 2*d + 270 = 4*f, -3*f = 11*d - 6*d - 183. Let g = -55 + f. What is the least common multiple of 11 and g?
11
Let k = 11017379/30 + -367246. What is the common denominator of 98/20*(-1)/(-5) and k?
150
Let d = 105251/12 - 8765. Suppose -2*n + 6*n - 8 = 0. Find the common denominator of (-271)/84 + n/14 and d.
12
Suppose -28080 = -262*o + 11*o - 9*o. What is the smallest common multiple of 10 and o?
540
Suppose k + 12 = -3*n, -3*n = -2*n - 1. Suppose 58*l - 49*l - 2079 = 0. Find the common denominator of l/(-108) + (k/(-6) - 4) and 51/8.
72
Suppose 21*m - 1278 = 3*m. Suppose -5*v + m = -4*v + 5*p, 225 = 5*v - p. What is the smallest common multiple of v and 3?
138
Let t(v) = -v + 1. Let z(c) = -2*c + 1. Let i(h) = -3*t(h) + 3*z(h). Let w be i(9). Let k = -18 - w. Calculate the lowest common multiple of 33 and k.
99
Let o be (515/(-10) + 4)/(2/(-4)). Suppose -k + 170 = -0*z + 5*z, 2*z = 5*k + o. What is the smallest common multiple of 7 and z?
35
What is the common denominator of -12 + 4 - (1425/(-54))/5 and -187/480?
1440
Let v = 35 - 34. Find the common denominator of v + (6 - 4 - (-47)/2) and -87/170.
170
Let r(b) = -2*b**3 + 100*b**2 + 13*b - 101. Calculate the lowest common multiple of r(50) and 1.
549
Let k = 54 - 55. Let d be 2 + (-4)/(-2) + 1*k. Suppose a + 28 = d*a. Calculate the least common multiple of 8 and a.
56
Let t = 779 - 1625/2. Let o = -848 + 1249. Let l = o + -1951/5. Calculate the common denominator of t and l.
10
Suppose -3*v - 10 = 2*b, 3*v + 22*b + 5 = 21*b. Suppose v = -49*k + 58*k - 585. Calculate the least common multiple of 130 and k.
130
Let m be 2 - ((-4)/9 - 517327/(-184824)). Let w = m + -66/151. Let c = 43954/9 - 4890. What is the common denominator of c and w?
72
Let i be 1170/5 - 1/4. Let b = -235 + i. What is the common denominator of 9/(3 - 0) + (-249)/(-18) and b?
12
Let h = -49227/13328 - -5/833. Suppose 14598 = 55*r - 52*r. Let u = r - 38995/8. What is the common denominator of h and u?
16
What is the common denominator of (-630)/882 - (-27)/70 and -55/413?
4130
Let m(r) be the third derivative of -r**6/120 - r**4/4 - r**3 - 9*r**2. Let o be m(-2). Let k = -9 + o. Calculate the lowest common multiple of 4 and k.
20
Let q be (7 - 6832/494) + 7. Let i = q - 14667/3458. What is the common denominator of -93/2 and i?
14
Suppose 0 = 3*w + 3*o + 22047, 14020 = -3*w - 4*o - 8023. Let y = 73409/10 + w. What is the common denominator of y and 55/4 + 0 + -4 + 5?
20
Let n = 15 + 0. Suppose 2*d = -2*i + 1 + n, -4*i + 40 = -4*d. Let p = -29 - -38. Calculate the smallest common multiple of i and p.
9
Let n = -6274 - -56402/9. Suppose 5*w - 450 = -0*w. What is the common denominator of (9/w)/((-2)/(-158)) and n?
90
Suppose -238*n - 25344 = -334*n. What is the smallest common multiple of 1272 and n?
13992
Let s(t) = 3833*t - 15324. Suppose 12 = -4*y, -k + 4*k = 4*y + 108. What is the least common multiple of k and s(4)?
32
Find the common denominator of (-21 - 1)*(-924)/(-190080)*-36 and 69/(-1344) - 4/(-14).
320
Suppose 0 = 21*q - 3*q + 540. What is the least common multiple of 35 and (q/(-8))/((-10)/(-40))?
105
Suppose -4*t + c = -t + 5, -t = c - 5. Suppose 4 = 4*v + g, t*v - 4*v - 5*g - 12 = 0. Let s(h) = 7*h + 64. Calculate the least common multiple of s(-6) and v.
22
Let c = -36 - -34. Suppose -r = -2*m + r + 12, -42 = -4*m - 2*r. Calculate the least common multiple of (-2 - -3)/(c/(-60)) and m.
90
Suppose -4*a - 61*u = -60*u - 223, 116 = 2*a - 4*u. Calculate the lowest common multiple of 832 and a.
5824
Let u(t) = t**3 - 5*t**2 - t - 3. Let c(x) = 53*x - 9407. What is the smallest common multiple of c(178) and u(6)?
27
Calculate the least common multiple of 840 and -342 + 490 + (-8)/((-4)/(-2)).
5040
Let u(w) = 7*w + 13. Let z be u(-1). What is the common denominator of -65/2 and (498/(-81))/(8/z)?
18
Calculate the common denominator of 2/(-6) + (20 - -7) + -9 and -23/160.
480
Let l = -287675 - -11218412/39. Let d = l + -25/13. What is the common denominator of d and -93/32?
96
Let c = -336 + 444. Calculate the least common multiple of c and 675.
2700
Let k = 9 + 26. Let z(c) = 2*c**3 - 29*c**2 + 42*c - 9. Calculate the smallest common multiple of z(13) and k.
210
Let h be (-20)/3 - 2/6. Suppose -4*q + 2 = -q + 5*n, q = 4*n + 12. What is the least common multiple of q and 52*(h/(-2) + -3)?
52
Let p = 25303 - 809783/32. Let f = 328092683/80 - 4101103. Let r = f - 258/5. Find the common denominator of p and r.
32
Calculate the common denominator of 149/30 + 6/15 and (32/16 - (0 - -9)) + 12261/670.
30
Suppose 10*s - 5*s = 0. Suppose s*g = -5*g + 170. Suppose 8 = 3*o - g. Calculate the least common multiple of 2 and o.
14
Let m be (-2 - 148/42)*-510. Let p = -2824 + m. What is the common denominator of -13/10 and p?
70
Suppose n = 21 - 181. Let r be -5 + (4 - (1 - -2)) - n. Suppose 2*t + 2*p = -0*t + r, -4*t - 5*p + 312 = 0. Calculate the smallest common mul