 Calculate the smallest common multiple of u and 2800.
8400
Suppose 299495 = -132*a + 137*a. Let z = -37376987/624 + a. Calculate the common denominator of 31/4 and z.
624
Let b = -11915/8 + 1496. Let x = 725/11543 + -13/194. Let j = x + -6/17. Calculate the common denominator of j and b.
56
Let x be 3 + ((-663463)/(-180) - 5). Let v = x - 33128/9. What is the common denominator of -26/3 and v?
60
Let u(w) = 11*w**2 + 5 - 17 - w**3 - 5*w + 6*w + 13*w. Calculate the smallest common multiple of 52 and u(12).
156
What is the common denominator of 2/(-4) - 5133/(-49914) and 5/12?
564
Let h be 2/36*183*254/393. Let g = 2/131 - h. What is the common denominator of -1/3 and g?
9
Suppose 19*c - 24*c = -10. Suppose -44 = -3*v + c*j, 6*v - 4*v + j - 41 = 0. Calculate the least common multiple of v and 3.
18
Suppose 3*y - 4508 = -43*y. What is the smallest common multiple of y and 364?
2548
Let d = 6230986 - 40252169639/6460. Calculate the common denominator of d and 45/304.
25840
Let w = 4 - 2. Suppose -h + b = -12, -4*h + 28 + 19 = -3*b. Suppose -o - 5*u = -w*u + h, 5*o - u = 25. What is the least common multiple of o and 7?
28
Let w = -1 - -1. Let c(k) = 176 - 39 - 127 + 4*k. What is the smallest common multiple of c(w) and 10?
10
Suppose 1133184 = -519*n + 746*n. Calculate the least common multiple of 4368 and n.
34944
Let f = -77869/126 + 4342/7. Let m be (315/7)/((-639)/(-6)). Let n = m + 2311/1420. What is the common denominator of f and n?
180
Let n = -7974/35 + 54641/240. What is the common denominator of n and -5/372?
10416
Suppose 0 = -v + 2*v - 3*a + 13, 5*v + a + 1 = 0. Let r(d) = d**2 + 19*d + 25. What is the common denominator of 13/(v*96/(-28)) and r(-17)?
24
Let z be (-3 - 484)*4/4. Let m = 745 + z. What is the least common multiple of m and 4?
516
Let x(c) = -c**3 + 3*c - 1. Let a be x(-2). Calculate the common denominator of (-1)/(-4) + 75/(-9) and (-18)/(-27) - (253/6 + a).
12
Let x = 1971 - 1966. What is the lowest common multiple of x and 179?
895
Let r be (1/(-8))/((-1)/(-2662)). Let p = -235603/8 - -29795. Let j = r + p. Find the common denominator of 19/10 and j.
40
Let y(x) = -24*x**2 - 3*x - 3. Let t be y(-3). What is the common denominator of 4/(-40) + 859/t and -32/7?
21
Suppose -4756 = 2*c + 23*c - 26356. Calculate the smallest common multiple of c and 1080.
4320
Let c be 5/(-9)*((-88)/5)/(-2). Let a = -23/6 - c. Calculate the common denominator of 2 - 0 - (-445)/(-130) and a.
234
Suppose -14*l + 5*l + 1800 = 0. Suppose 2*n = l - 192. Calculate the smallest common multiple of 8 and n.
8
Let q(s) = -2*s - 12. Let w = -7 - -10. Suppose 3*p + c + 33 = 0, 0 = -2*p + w*p + 5*c + 25. What is the lowest common multiple of 8 and q(p)?
8
Let d be ((-2)/(-6) - 0)*(-4185)/180. Let h = d + 83/36. Let m = 23765/6 - 3976. What is the common denominator of h and m?
18
Let p = 242 + -235. Let k(q) = 3*q**2 - 14*q - 29. Calculate the least common multiple of k(p) and 12.
60
Let a(f) = -8*f - 61. Let t be a(9). Let u = 154 + t. What is the lowest common multiple of -3*((1 - 0) + -7) and u?
126
Suppose 0 = -2*h - 3*k - 150 - 574, 2*h + k + 716 = 0. What is the common denominator of ((-10)/(4 - h))/((-8)/285) and -23/36?
288
Let c(l) = -8*l - 4. Let g(i) = i**2 - 7*i - 3. Let d = -21 - -28. Let x be g(d). What is the least common multiple of 50 and c(x)?
100
Suppose -7504 = 1437*c - 1451*c. Calculate the least common multiple of 36 and c.
4824
Let p(t) = 1966*t + 81. Let r be p(5). Let q = r + -297457/30. Find the common denominator of -37/45 and q.
90
Suppose 4*x + 20 = 4*d, 4*x = d + 7*x + 7. Calculate the common denominator of d/6*(-15827)/(-266) and 93/4.
12
Suppose 66 = 5*z - 2*r, -2*z + 11 = -2*r - 19. Suppose -z = -0*x - x. Calculate the least common multiple of x and 66.
132
Suppose 0 = -3*i - 3. Suppose 0 = -5*a - 5*z - 175, 4*a + 4*z = 6*a + 52. What is the common denominator of -49/20 and (i + 0)*(-696)/a?
20
Find the common denominator of -89/30 and 5/25*(-1862)/(-336).
120
Suppose 5 = -5*j, -3*x + 10 = -0*x - 4*j. Calculate the least common multiple of (1*-2 - -8) + (639 - 559) and x.
86
Let m(f) be the third derivative of 31*f**4/6 - f**3 - 2*f**2 - 8*f. Calculate the lowest common multiple of m(1) and 7.
826
Suppose -3*o = 2*q - 8 - 1, -o = -3*q - 14. Find the common denominator of -31/121 and (202/q)/((-4)/(-3)).
242
Let a = -112151/6 + 18681. Let g = 77828 + -3190672/41. Let z = g - 9497/820. Find the common denominator of z and a.
60
Let v(y) be the third derivative of 5*y**4/12 - 10*y**3/3 + 24*y**2. Let i(m) = -m. Let r(f) = 8*i(f) + v(f). What is the least common multiple of 40 and r(12)?
40
Let m be 1508/(-312) - (-5)/6. What is the common denominator of -74/3 and m/(-56)*-118*2/12?
42
Let r = -55 - -61. Suppose 0 = -r*d - 2 - 4. What is the common denominator of ((-3)/(6*d))/(10/(-125)) and 85/16?
16
Suppose 85*p - 713 = -2*r + 88*p, 4*r - 1420 = 4*p. Calculate the lowest common multiple of 18 and r.
3168
Let i = 636 + -586. Calculate the common denominator of -127/102 and 674/165 + (-80)/i.
1122
Calculate the common denominator of -71/12 and -1*1*14/35 - 4799/(-13060).
7836
Let c = -23 + 25. Let t(l) = l**3 + 48 - l**c + 5*l**2 - 47 - l. What is the lowest common multiple of t(-4) and 5?
5
Let h be (-14)/(-70) + (388/10 - -1). Let m = 40 - h. Suppose -3*q + 9 = -m. What is the smallest common multiple of q and 27?
27
Let a(s) = s**3 + 7*s**2 + 8*s + 8. Let l be a(-6). Let w(m) = m**2 - m + 1. Calculate the common denominator of w(l) and (-8)/(-2) + (-14 - 1872/(-90)).
5
What is the common denominator of 4747/2115*(-1)/(-2) and -11/190?
1710
Suppose 0 = -0*a - a - 2*d + 2, -2*a + 8 = 5*d. Let s be (-1 + 2 + -1)*(-3)/a. Find the common denominator of s + (-335)/(-45) + -1 and 71/6.
18
Find the common denominator of 1390/(-30)*8/(-80) and 57/22.
330
Let j = 895265 - 1398403977/1562. Calculate the common denominator of j and 47/284.
3124
Let i(l) = 8*l - 37. Let n be i(5). Suppose -11 = -n*a - 2*v, -3*a = 3*v - 1 - 14. What is the smallest common multiple of a and 138?
138
Let b(m) = -m**3 + 21*m**2 + 75*m + 41. Let z be b(25). Let i = -579 - z. Calculate the smallest common multiple of i and 30.
30
Let y = 117867 - 14143961/120. Calculate the common denominator of 95/216 and y.
1080
Let i = -3/60365 - -8390933/3984090. Let v = 9041 + -27193/3. Find the common denominator of i and v.
66
Let p = 422427/32 - 13201. What is the common denominator of p and -37/3358?
53728
Let q = -56 - -285. Let r = q - 219. Calculate the smallest common multiple of r and 18.
90
What is the smallest common multiple of (80/(-15))/((13/48)/(-13)) and 320?
1280
Suppose 0 = -x + 10*k - 13*k + 67, -3*x + 169 = k. What is the lowest common multiple of x and 3255?
35805
Suppose -15 = 10*p - 95. Let x(w) = w**3 - 8*w**2 - w + 12. What is the least common multiple of x(p) and 36?
36
Let d(f) = f**3 - 117*f**2 + 3041*f + 111. What is the smallest common multiple of d(78) and 1551?
1551
Find the common denominator of -13/4 and 12 + (-4693)/1638*3.
84
Let b = 208 + -142. Suppose -2*h + b - 27 = x, 4*h = -x + 83. Calculate the lowest common multiple of (-42)/(-4) + (-1)/2 and h.
110
Suppose 16*p + 4*z + 4 = 12*p, 0 = 18*p + 3*z - 57. Calculate the smallest common multiple of p and 430.
860
Let c = 5823073/154 + -37812. Let x = c + -3253/1540. Find the common denominator of 2/(-30) + (-4342)/(-12480) and x.
160
Let p be 2*-2 + 11440/4095. Let q = 5351/630 - p. What is the common denominator of -157/546 and q?
2730
Calculate the common denominator of 50/900 + (-196)/18 and 95/1226.
3678
What is the common denominator of -58/453 and ((-846)/18)/(126/(-6))?
3171
Suppose -5*i + 4*x = -4909 + 36294, 0 = 5*i + 5*x + 31340. Let v = 75415/12 + i. Calculate the common denominator of -20/51 and v.
204
Let c(a) = -a**2 - 21*a - 4. Let f be c(-12). Let b = -54 + f. Calculate the least common multiple of b and 40.
200
Suppose 4*o = 2*l - 350, -4*l + 120*o = 123*o - 645. What is the lowest common multiple of l and 1881?
9405
Let z = -184819 - -38812093/210. What is the common denominator of -199/2310 and z?
2310
What is the lowest common multiple of (107136/81)/(-31)*(-42)/4 and 630?
20160
Let l = 13480 + -13293. What is the lowest common multiple of 2261 and l?
24871