-89/8.
464
Suppose 4*g = 3*g + 278. What is the smallest common multiple of g and 8?
1112
Let r = -18028 - -306670/17. Let c = r + -6087/374. Find the common denominator of 57/110 and c.
110
Suppose 4*r - 17 = -t, -6*r + t = -4*r - 13. Suppose -34 = -r*m + 6. Suppose 5 = -o, -2*o - m = -3*d + 14. Calculate the smallest common multiple of 10 and d.
20
Let s(p) = p**3 - 14*p**2 + 1. Let t be s(14). What is the common denominator of -74/9 and (t/(-4))/(4/392)?
18
Calculate the common denominator of -123/80 and ((-18)/12)/((-360)/830).
240
Let g = -452/7 - -62. Let d = 602 + -19868/33. Let f = 109/165 + d. Calculate the common denominator of f and g.
35
What is the least common multiple of 20 and (-12)/84 + (-141)/(-7)?
20
Suppose -5*h = -5*k - 30, k + 4*k + 16 = -2*h. What is the least common multiple of h and (-3 - -1)*(-9 + 0)?
18
Suppose -2*p = 3*q - 20, 5*p - 4*p = -3*q + 10. What is the smallest common multiple of 23 and p?
230
Let w = -319 + 320. What is the smallest common multiple of w and 5?
5
Let r be (-4)/6 + 66/18. Find the common denominator of -95/6 and -1*(1 - r - 12/(-18)).
6
Let w be (-2)/(-20)*(-590 + -1). Let y = w - -59. Let h = -14789/292 + 43/292. Calculate the common denominator of h and y.
10
Suppose -2*y - 2*f = -212, -500 = -5*y - 2*f + 30. Let h = 192 - y. What is the lowest common multiple of 2 and h?
86
Suppose 5*j = -5*z + 30, -j = -3*z - 2*z - 6. Suppose 5*x - j*x = -2. Calculate the common denominator of ((-165)/(-6))/(x + 2) and 43/9.
72
Suppose 0 = 4*c - 25 - 111. Calculate the smallest common multiple of 2 and 2 - (-184)/13 - c/221.
16
Let r be 34/(-20)*5/2. Let a = 35/12 + r. What is the common denominator of a and 91/8?
24
Suppose 23*a = 203 - 19. Let t = 8 - 22. Calculate the lowest common multiple of 2/7 - 122/t and a.
72
Let d(u) = 6*u**3 - u**2 + u. Let i be d(2). Suppose -45*a = -i*a + 3. What is the lowest common multiple of 2 and a?
6
Let q = -111070/3 - -37480. Let m = 23221/51 - q. What is the common denominator of 31/10 and m?
170
What is the common denominator of 0 - -1 - -1 - (-1248)/320 and -4 - (-43)/(-10) - -2?
10
Let r = -338 - -358. Let p(o) = -40*o**2. Let h be p(1). Calculate the lowest common multiple of h/(-6)*(0 - -3) and r.
20
Let k = -2959/12 + 737/3. Calculate the common denominator of k and 2/243.
972
Let g be ((-524)/6)/(1/(-72)). Suppose -2*o + 4*q = 2*o - g, -3*o + 4734 = 3*q. Let f = o + -6253/4. Find the common denominator of f and -121/6.
12
Let p(b) be the third derivative of b**4/24 - 4*b**3/3 - 3*b**2. Let c be p(6). Calculate the common denominator of (396/40)/(c/5) and 55/14.
28
Let b(v) = 9*v - 44. Calculate the lowest common multiple of b(8) and 168.
168
Let l = -24 + 35. Suppose 2*n - 2*o + 6 = -2*n, 4*n = 3*o - 7. Let f = 6 + n. What is the least common multiple of l and f?
55
Let r = -11 + 10. Find the common denominator of (3/(-36))/((-6)/(-747)) and 6 + (r - (-10)/6).
24
Find the common denominator of 153/(-900)*58 + 10 and 107/100.
100
Let s(f) = 3*f - 9. Let x be s(4). Suppose -l + 7 + x = 0. Calculate the least common multiple of l and (11 - 12)/((-2)/8).
20
Suppose 0 = k - r - 509, 2*k = 3*r + 1325 - 304. What is the smallest common multiple of 20 and k?
5060
Let l(m) = -m**2. Let n be l(1). What is the common denominator of 3/n + 74/10 and (106/4)/(3/2)?
15
Let l(t) = t**3 + 6*t**2 + t - 6. Let x be l(-5). Find the common denominator of (72/18)/((-2)/(x/3)) and 41/2.
6
Let t = 569/6 - 462/5. What is the common denominator of t and -149/126?
630
Let v = 3751 + -1747. Let s be (-22092)/11 - (-2)/1. Let p = v + s. Calculate the common denominator of p and 41.
11
Let k = 607/7 - 5008/63. Suppose 4*s = 3*f + 44, 2*s + 5*f = 6*f + 20. Calculate the common denominator of k and s/(-24) + (-1 - -1).
9
Let s = 99 + -94. Let t(p) = -3*p - p**3 + 6 + 6*p**2 + 2*p**2 - 4*p. What is the lowest common multiple of s and t(7)?
30
Let l(r) = 43*r - 1. Suppose 0*p - 3 = -3*p. Let a be l(p). Suppose 4*s + a = 7*s. Calculate the smallest common multiple of s and 2.
14
Let g = -35043/10 - -3501. Calculate the common denominator of g and (-5 - 4)/18*41/(-4).
40
Let r = -32/35 + -1051/420. Let t = -1641/5456 + -4/341. Find the common denominator of r and t.
48
Suppose 7*x - 1157 = -317. Calculate the least common multiple of x and 135.
1080
Let l = 1 + 2. Let i = -240 - -234. Calculate the least common multiple of 4 and (-5 - (l + i)) + 20.
36
Let k(x) = 13*x + 3. Let l be k(-2). Let h = l - -4. Find the common denominator of ((-22)/14)/(h/(-19)) and 17/9.
63
Suppose 3*s = s + 40. Let o(p) = -14*p + 1152. What is the smallest common multiple of s and o(82)?
20
Let k(m) = -2*m + 14. Let p be k(12). Let n = p + 14. Suppose 2*g = g + n. Calculate the smallest common multiple of g and 5.
20
Let i(b) = -b**2 - 8*b - 6. Let r be i(-7). Let g(n) = 6*n - r - n**2 - 1 + 3 + 0. Calculate the lowest common multiple of g(6) and 10.
10
Suppose -7*o = -13 + 20. What is the common denominator of -95/8 and 269/12 - (-6)/(-18)*o?
8
Suppose 4*h = -2*r - 60, -3*h + 7*h + 84 = -3*r. Let l be 2/(-7) - 4016/7. What is the common denominator of (-5)/15 - l/r and 57/16?
16
Let c(n) = n + 1. Let s(v) = -5*v**2 - v + 2. Let u be s(1). Let o be c(u). What is the least common multiple of 18/15*(-20)/o and 4?
8
Suppose -3*a + 72 = -3*r, 4*a = -4*r + 159 - 47. Let g = -2 - a. What is the common denominator of g and 43/2?
2
What is the common denominator of (2/(-10))/((-13)/(-66)) and 348/1276 - (-866)/(-110)?
65
Let g(p) be the first derivative of p**4/4 - 8*p**3/3 + p**2/2 - p + 7. Let q(l) = l**2 + 2*l - 2. What is the lowest common multiple of q(-3) and g(8)?
7
Suppose 7 = -2*r + 27. Calculate the smallest common multiple of ((-1)/(-3))/(-7 - 3992/(-570)) and r.
190
Let q = 343/2 + -2749/16. Find the common denominator of (-11 - 1284/(-120))*105/18 and q.
16
Find the common denominator of 61/88 and 2 + (2/14 - 35/14).
616
Let z = 663 + -5894/9. Calculate the common denominator of -10/27 and z.
27
Let c(b) = 14*b**2 - 2. Let q be c(7). Let k(d) = d - 2. Let m be k(-7). Find the common denominator of -11/19 and (-2)/(m/(q/(-80))).
190
Let l(v) = -v**3 - 6*v**2 + 7*v - 10. Let z be l(-7). Let n = 5362 - 32245/6. What is the common denominator of n and -3*1 - 205/z?
6
Suppose 7*d + 3*y + 6 = 10*d, -12 = -3*y. What is the lowest common multiple of 81 and d?
162
Calculate the common denominator of -45/1324 and 110/(-132) + 3/36.
1324
Suppose 36 = 4*m + 4*g, -22*g + 18*g = 3*m - 32. Calculate the lowest common multiple of m and 5.
20
Let r = -21469/81 - -237545/162. Let k = r - 1197. Find the common denominator of k and -9/20.
180
Let a = -54/127 - -1053/10541. Calculate the common denominator of a and -23/6.
498
Let i(t) = t**2 - 2*t - 6. Let w be 68/11 - 0 - 6/33. Calculate the least common multiple of i(w) and 12.
36
Suppose -40*u = -54*u + 56. Calculate the smallest common multiple of 254 and u.
508
Suppose 3*g = -w + 2, 10*w - 23 = 5*w - 2*g. Suppose -2*c + 7*c = r + 440, 4*r + 20 = 0. Let f = 97 - c. What is the least common multiple of f and w?
10
Let g = -995/6 - -3529/21. Calculate the common denominator of 29/20 and g.
140
Suppose 2*f = -3*f - 5*h, -5*f + 4*h - 27 = 0. Let d = -1 - f. Calculate the lowest common multiple of 4 and (d/3)/((-1)/(-15)).
20
Suppose 22*l + 18*l = 480. Calculate the least common multiple of l and 728.
2184
Find the common denominator of -205*((-203)/35 - -6) and -37/204.
204
Let w = -1196 + 1746. What is the lowest common multiple of w and 10?
550
Let n(r) = 5*r - 22. Let u be n(5). Calculate the common denominator of 1/u*423/18 and 31/32.
96
Let l be 2 + -7 + 0/(-2). Let j = -9 + 8. What is the smallest common multiple of 2 and 3 + j + l - -8?
10
What is the common denominator of -1/15 and 60/14 - (16/3 - 4)?
105
Let j = -229 + 327. What is the least common multiple of 5 and j?
490
Let w = 8 + -8. Suppose w = 2*d - 5 - 11. Calculate the least common multiple of d and 10.
40
Let r = 386/17 + 8799/34. Let f = r - 295. Find the common denominator of f and 15/16.
16
Let j(v) = 4*v**2 + v - 2. Suppose 2*d = -2*l - 2, 3*l + 0 = -2*d - 1. Calculate the smallest common multiple of j(d) and 11.
132
Let y be (1 + 0)/(9/27). Suppose -5*j + y = -3*i + 25, -12 = -5*i - 4*j. Suppose 0 = 4*k