(-6). Calculate the common denominator of t/7 + 6075/3500 and 47/40.
40
Let u = -1188 - -1476. What is the lowest common multiple of 144 and u?
288
Suppose 9 = -8*u + 49. Suppose -u*l = 14*s - 17*s + 16, s - 5 = 2*l. Calculate the lowest common multiple of s and 42.
42
Find the common denominator of (8*(-603)/(-288))/(-45) and 71/236.
10620
Let c = 1296237 - 3896488387/3006. Calculate the common denominator of 44/7 and c.
21042
Suppose -3*x + 13 = 1, 5*u - 4*x = 14. Let c(z) = z**2 - 5*z + 10. What is the lowest common multiple of 1/u*-3 + 23/2 and c(4)?
66
Let l(m) = 5*m**2 + 51*m + 26. Suppose -2*f = -11*f + 288. Calculate the lowest common multiple of f and l(-10).
32
Suppose 3*t + 935 = 5*q + 5*t, 388 = 2*q - 2*t. What is the least common multiple of q and 243?
1701
Let g = 38/495303 + -20411161563/1320808. Let o = -15450 - g. Find the common denominator of -20 + 18 - (-178)/44 and o.
264
Let v = -56/83608461 + -274281820338091/5852592270. Let h = -46866 - v. What is the common denominator of h and -53/110?
770
Let w = -76141450/13 - -238018666817/40638. Let d = w + 4/521. What is the common denominator of d and 33/38?
114
Let g be -8*(-8)/64 - 12/2. Calculate the common denominator of -73/30 and (-182)/(-35) + g + 13/(-3).
30
Find the common denominator of 6/(-40) - (1 - 3) and 9/6*1 + 63549/(-18630).
180
Let w = -1197931 + 862510481/720. Calculate the common denominator of 29/36 and w.
720
Let z = 4619/2541 + -1/121. Let d be 15/25 - 523/5. Calculate the common denominator of z and -1 + (2 - d/18) - 3.
63
Let i = 9475/17784 - 13/456. Find the common denominator of 34/7 and i.
819
Suppose -5*k + 3*w + 88 = 0, -2*k + 24 = 2*w - 8. Let a = k + 46. What is the smallest common multiple of 7 and a?
63
Suppose -4*s + 17*k - 20*k = 2, -3 = -5*s - k. Let o(l) = 120*l**3 - 2*l**2 - l + 3. Calculate the least common multiple of o(s) and 36.
360
Let v be 2/(-3)*(7 + -1). Let x(k) = -14*k**2 + 4*k. Let b(p) = -53*p**2 + 13*p - 10. Let s(z) = b(z) - 4*x(z). What is the least common multiple of s(v) and 8?
200
Let z = -3685993165/4704 + 783587. Find the common denominator of -101/4 and z.
4704
Suppose 0 = -o - s + 51, 0 = -730*o + 733*o + s - 161. What is the least common multiple of o and 340?
3740
Let h = 44 - 37. Calculate the least common multiple of 14/4*8/h and 32.
32
What is the common denominator of (122/(-110))/(-31 + 36) and 7/1000?
11000
Let h = -18990955/23394 - -20/11697. Let d = -817 - h. Let q = 433429/26 + -16673. Calculate the common denominator of q and d.
182
Suppose 3*p - 43 + 140 = 4*r, -5*r - 103 = 2*p. Calculate the common denominator of (-178)/36 - (-39 - p) and 63/10.
90
What is the common denominator of -35/96 and -7*2 - 586263/(-42048)?
192
Let v be 1/2 - (-116)/8. Let h be (-3)/v*0 + 3. What is the lowest common multiple of 10 and 18 - 2 - (h + -6 - -3)?
80
Let y = 2/2989 + -4276/8967. What is the common denominator of y and (926 - 922)*(-48)/(-27)?
63
Let g = 339819/10 - 33993. Calculate the common denominator of (61/(-90))/(1/(-3)) and g.
30
Suppose -3*x + 4*k = -189916, 4*x - 253258 = -5*k + 3*k. Let r = x - 5951243/94. Let u = -15/2 - -26/3. Calculate the common denominator of u and r.
282
Let f = 1895317 - 3838017017/2025. Calculate the common denominator of f and -32/5.
2025
Let s(w) = -w**2 + 3. Let c be s(-3). Calculate the common denominator of 606/(-2)*1/c and (2289/189 - 12)*(6/8 - 0).
12
Let l = -11227697/20 - -561569. Let w = 184 - l. What is the common denominator of -61/36 and w?
180
Calculate the lowest common multiple of 3/((-2162)/115 + 19) and 6315.
6315
Let t = 58459 - 4092007/70. Find the common denominator of 68/105 and t.
210
Suppose -9*y - 290 - 304 = 0. Let c = -48 - y. Suppose 2*i + o = 48, 4*i = 3*o - 4*o + 92. Calculate the smallest common multiple of i and c.
198
Let u be (-2849455)/364*36/30. Suppose 5*y - 7314 = h + 2093, -4*h = 4*y + 37556. Let k = h - u. What is the common denominator of -99/8 and k?
104
Suppose 4*v = -2*r + 5*r - 792, r - 3*v - 264 = 0. Suppose 0 = 4*u - u - r. What is the common denominator of -101/18 and (34/u)/(5/30)?
198
Suppose -2*y + 19632 = 8*c + 2*c, 2*c = 5*y + 3975. Calculate the smallest common multiple of 6 and c.
3930
Suppose -5*v - 8 = -i, -4*v = i + i - 2. What is the smallest common multiple of 2 and 725/15 - v/(-3)?
48
Let l = -1419 - -1461. What is the smallest common multiple of 21 and l?
42
Let w = 522962/93 + -5623. What is the common denominator of w and 63/124?
372
Let k(z) = -53*z - 80. Let h be k(-10). Suppose -22*i + h = -12*i. Suppose 2*x - 8*x + 300 = 0. What is the least common multiple of i and x?
450
Let k be (-7)/(980/88)*30/(-54). Let f = k - -3796/315. Find the common denominator of f and 23/12.
60
Let p(q) = q**2 + 59*q + 618. Calculate the lowest common multiple of 348 and p(-50).
4872
Let t(c) = 3708*c - 322581. Suppose 2*z = -z + 30. Let l = z + -7. Calculate the lowest common multiple of t(87) and l.
15
Let f(l) be the first derivative of -l**4/4 + l**3 + 2*l**2 - 2*l + 8. Let b be f(3). Calculate the lowest common multiple of (1 - 5)*b/(-4) and 22.
110
Suppose -2*f + 21 = -159. Suppose 0 = 9*l - 403 - 2. What is the smallest common multiple of l and f?
90
Let x = -803/690 + -5/138. Let q = -52373/8 - -6538. Find the common denominator of q and x.
40
Let x(g) = -2*g**2 + 49*g + 179. What is the lowest common multiple of x(27) and 1144?
1144
Suppose 0 = 5*t + z - 219, 90*z = 94*z + 4. What is the least common multiple of t and 374?
748
Let a = 2 + 2. Suppose -3*m = 4*j + 22, -24 = 2*m + 4*j - a. What is the common denominator of 133/36 and (-250)/(-16) - (1 + (0 - m))?
72
Let c(z) = -200*z**2 + 1418*z + 4. What is the lowest common multiple of c(7) and 104?
520
Let m = 1006 - -4207. What is the smallest common multiple of 104 and m?
41704
Let f = 6561 - 6549. What is the lowest common multiple of f and 112?
336
Let k = -1/144 + -1991/144. Calculate the common denominator of k and -4 - 96/(-10) - (12 + -8).
30
Let j = -48 - -128. Let x be 6/(-4) - (-9)/2. Suppose 0 = x*f - 2*f - j. Calculate the lowest common multiple of f and 14.
560
Let q = -358 - -375. Suppose -215 = -3*b - q. What is the smallest common multiple of b and 66?
66
Let p = 23/987 + 14963/2632. Let b = -71389/5 - -75448/5. Let x = b + -1603/2. Find the common denominator of x and p.
120
Suppose 0 = p - 5, -53 = -2*f + 18*p - 23*p. Suppose f*i - 3 - 501 = 0. Calculate the smallest common multiple of 2 and i.
36
Let w = -786548 + 786626. Suppose 4*g - 219 = -11. Calculate the smallest common multiple of w and g.
156
Let s = 31417/329264 - -24/1583. What is the common denominator of 121/1092 and s?
4368
Let t = 14/2441 + -158973/53702. Calculate the common denominator of ((-10)/14)/(412/(-1648)) and t.
154
Let q(p) = 6*p**2 + 333*p - 3964. What is the smallest common multiple of 1280 and q(12)?
8960
Let p = -3/8681 + 60842/217025. Find the common denominator of p and -83/740.
3700
Let n(b) = -10*b**3 + 5*b**2 + 5*b + 2. Calculate the least common multiple of n(-1) and 580.
1740
Let l = 27 - -61. Let k(o) = -o - 28. Let j be k(42). Let c = j + l. Calculate the smallest common multiple of c and 18.
18
Suppose 0 = -234*n - 4219014 + 4220652. Let v be (-7 - -1)*-3 - -1. Suppose -2*j + 0*j = -4*x + 18, -j = 2*x - v. What is the least common multiple of n and x?
7
Suppose -5*d - 16 = -96. Calculate the least common multiple of d and -1*(-1*96)/3.
32
Let l = 263266253225/30899119356 + 2/47979999. Let h = -228/23 + l. What is the common denominator of h and 1 + 0 - 31/9?
252
Let m = -89/201 - -24721/55074. Let r = 15419/12330 - m. Calculate the common denominator of r and 73/50.
450
Suppose 61*w = 69*w - 336. Suppose -328 + w = -11*x. What is the lowest common multiple of x and (-8)/((-1)/(-1 + 2))?
104
Let w(s) be the first derivative of -s**3/3 - 5*s**2/2 + 12. Let k be w(-9). Let l = -32 - k. Calculate the lowest common multiple of 8 and l.
8
Let v be (90/(-25))/(147/700). Let d = -164/7 - v. Let r = -1723 - -17149/10. Calculate the common denominator of d and r.
70
Let b = 4815 - 4810. Let v = -7 - -11. Suppose v*z - 4*j - 15 = -5*j, 27 = b*z + 4*j. Calculate the smallest common multiple of 7 and z.
21
Suppose -94 + 30 = -4*d. Let n be -1 - 12/(-30) - 386/(-10). Let g = -20 