. Let h = w - 43. Suppose -2*k + 3 = -3. Calculate the smallest common multiple of h and k.
6
Suppose s - 3*s + 18 = 0. Suppose -45 = -2*y + 27. Suppose 31*d + 25 = y*d. What is the smallest common multiple of d and s?
45
Let j = 33 - 27. Suppose -2*y = 2*i - j*y - 24, -3*y = 12. Suppose 2*p + r - 12 = -r, 3*p = 3*r + 6. Calculate the least common multiple of i and p.
4
Let u = 1/42 - 31/42. Let h = -17925/11 + 1632. Calculate the common denominator of u and h.
77
Let w(s) = -s**3 + 2*s + 6. Let y be w(-5). Let z = y + -86. Suppose 4*l = 20, -4*p + l + z = -0*p. What is the lowest common multiple of 6 and p?
30
Let i = -438077 + 692161591/1580. What is the common denominator of 56/3 and i?
4740
Let u be ((-8)/(-12))/(4/(-18)). Let z(g) = -24*g + 34. Let w(k) = 5*k - 7. Let h(y) = u*z(y) - 14*w(y). Calculate the least common multiple of 10 and h(7).
10
Suppose -22*z = 65*z - 522. Calculate the least common multiple of z and 10.
30
Find the common denominator of 23/55 and (-2)/(-6) - (-425)/(-750).
330
Let m(a) = -5*a**3 - 2*a**2 - 7*a + 2. Let f(g) = 9*g**3 + 3*g**2 + 13*g - 5. Let c(j) = 4*f(j) + 7*m(j). What is the least common multiple of 114 and c(3)?
228
Let v = 10051 + -201063/20. Find the common denominator of -61/3 and v.
60
Suppose 3*z = 2*z - 56. What is the common denominator of (1/12)/(z/(-378)) and -63/20?
80
Let u(g) = 9*g - 14. Let k be u(6). Let i be (-10)/(-4)*32/k. What is the common denominator of i - ((-1464)/20)/(-6) and 71/4?
20
Suppose 0 = -3*n - 3, -3*r + 0*n = -4*n + 1328. What is the least common multiple of (-30)/165 + r/(-22) and 12?
60
Suppose 0 = -92*w + 100*w - 32. Suppose -2*g + 24 = 2*g. What is the least common multiple of 30/(-4)*(-4)/g and w?
20
Find the common denominator of -47/12 and ((-130)/7)/(48/1*-1).
168
Let t = 2/309 + 17569/6798. Calculate the common denominator of (-172)/40 - (-4 + 6 + -4) and t.
110
Suppose 4*t - 2*g = g + 24, -t - 5 = 2*g. Suppose -t*d + 2*r = -23, 0 = 3*d + 4*r + 8 - 25. Calculate the lowest common multiple of d and 14.
14
Suppose -771 = 6*h - 2085. Find the common denominator of -131/24 and 9/(-3) + h/(-54).
72
Let r = 84 - 39. Suppose 47*t - r*t - 28 = 0. What is the smallest common multiple of t and (0 - -2 - 4) + 28?
182
Let i = -3 - -8. Suppose -14*k - 80 = -19*k. Let u = 26 - k. Calculate the smallest common multiple of u and i.
10
Suppose -y + 20 + 4 = 0. Let g be (1/(-9))/(4/(-822)). Let u = y - g. What is the common denominator of u and -89/10?
30
Let y = -60696 - -4370183/72. Calculate the common denominator of y and 71/342.
1368
Let i = -1565 + 23506/15. Find the common denominator of 55/28 and i.
420
Let b = 1185 + -1816. Let z = b + 12561/20. Calculate the common denominator of 3/(-3 - 411/(-117)) and z.
20
Let c(s) = -s**3 - 49*s**2 + 51*s + 93. Calculate the lowest common multiple of c(-50) and 16.
688
Let v be 456/14 + 6/14. Let g be v/(-77) + 398/14. Calculate the common denominator of 3 - (216/g)/(-3) and 42/5.
35
Let f = -137681/14 + 9842. Calculate the common denominator of -31/12 and f.
84
Let h = -27478 + 111847/4. Let k = h - 2097/4. Let x = -99989/35140 + -8/1757. Find the common denominator of x and k.
20
Suppose 10 = 5*c, 0 = -4*q + c + 4*c - 10. Suppose q = 2*x - 13 - 23. What is the common denominator of 0 + -3 + (-177)/x and -3/28?
84
Let s be (-18)/371*(-2)/16. Let k = 2/1736544261 + 94139800918231/12885158416620. Let i = s - k. Calculate the common denominator of i and 43/10.
10
Let j = 22734 + -2114305/93. What is the common denominator of -37/12 and j?
372
Let x(f) = -f**3 + 3*f**2 + 9*f - 6. Let d = -6 - -10. Calculate the least common multiple of x(d) and 52.
364
Let d(p) = -p + 7. Let f(v) = -v + 11. Let n be f(9). Suppose n*m = -a + 6*a + 32, 3*m + 4*a = 48. Calculate the least common multiple of d(0) and m.
112
Let d(j) be the third derivative of j**4/8 + j**3/6 + 9*j**2. What is the smallest common multiple of d(1) and 20?
20
Suppose 11*w = -10*w + 2583. What is the least common multiple of 30 and w?
1230
Suppose -3*u - 9 = 0, 3*u = o + 11 + 21. Let b = -30 - o. Calculate the least common multiple of 5 and b.
55
Let j be 12/((-5)/5 + 3). Suppose -j = -0*p - p. What is the smallest common multiple of 8 and p?
24
Let l(o) = 9*o**2 + 74*o + 27. What is the lowest common multiple of l(-9) and 252?
1260
Suppose 4*i - 29 = 2*o + o, 0 = -2*i - 4*o - 2. Suppose 0 = 4*n + 3 + i, 20 = 2*m + 2*n. What is the lowest common multiple of m and 5*2 - (1 - 1)?
60
Let d = 138 - 131. Calculate the smallest common multiple of d and 4.
28
Suppose -5*r + p - 384 = 0, 6*p - p - 303 = 4*r. Suppose -2*h - 125 = 3*x, -3*h - 56 = x - 19. Find the common denominator of x and r/(-4) - (1 + -2).
4
Let c be 7 + 44/(-6) - (-41)/(-3). What is the common denominator of -37/4 and ((-2)/c + (-8021)/(-1820))*2?
20
Suppose -5*y + 3*y = -28. Calculate the lowest common multiple of y and (1 - 2)/((-5)/80).
112
What is the lowest common multiple of 48 and 13 - ((-1 - -3) + -3)*5?
144
Let l(x) = -2*x - 1. Let f(m) = -m**3 - 8*m**2 + 14. Let u be f(-8). Suppose u*k = 18*k - 36. Calculate the least common multiple of l(-4) and k.
63
Let p = -14 + 24. What is the least common multiple of 6 and p/4*((-95)/(-25) + -3)?
6
Let g = -26570 - -584641/22. What is the common denominator of 95/374 and g?
374
Calculate the least common multiple of 7 and ((-2)/4)/(2/(-20)).
35
Let i = -426/595 - -267243/355810. Find the common denominator of -19 and i.
598
Let x = -47/4 - -609/44. What is the common denominator of 3 - (469/(-4))/7 and x?
44
Let q be 54/(-36) + (-18)/4. Let s(r) = -r**3 - 5*r**2 + 6*r + 8. Let j(m) = -14*m. What is the least common multiple of j(-1) and s(q)?
56
Let k = -7/102 - -4/17. Calculate the common denominator of k and 93/146.
438
Calculate the common denominator of (-11682)/1452*(-2)/(-9) and 25/4.
132
Let f = -1612/5 - -321. Calculate the common denominator of -167/60 and f.
60
Suppose 0 = 18*m - 19*m + 34. Suppose 3*y + 4*i - m = 0, 0 = y - i - 2 - 0. What is the least common multiple of (-1)/(-2) - 70/(-4) and y?
18
Suppose 20 = 5*m + 4*j, -m + 1 + 3 = -3*j. Suppose -5*f = m*t + t - 25, 5*t - 31 = f. What is the least common multiple of 22 and t?
66
What is the smallest common multiple of (2/(-3))/((-28912)/1521 - -19) and 348?
4524
Let b(l) = -11*l - 7. Let z be b(-5). Let o = -26 + z. Let p = -57 - -65. Calculate the least common multiple of o and p.
88
What is the common denominator of -81/128 and 19962/(-9504) - (-12)/(-22)?
384
Suppose 5*r - 4*p = 0, -3*r = -2*r - 2*p. Find the common denominator of (r - -33)*-2*39/216 and 73/33.
132
Find the common denominator of -91/216 and (-2 - -88*7/49)/27.
1512
Suppose -63 = -103*a + 102*a. What is the smallest common multiple of a and 35?
315
Let p be 2 + 90/(-25) + 4/(-10). Calculate the lowest common multiple of 21 and (7/p)/((-1)/2).
21
Suppose -3 = 3*t - 4*t. Suppose 2*g + t*g + 4*v + 178 = 0, 0 = -5*g - 2*v - 184. Find the common denominator of g/16*(-4)/(-3) and -77/6.
6
Let h = 5727 - 34339/6. Let j = -1/2902 - -57318/10157. Calculate the common denominator of j and h.
42
Let r(l) = 0*l**3 + 5*l**2 - 2*l + 164 - l**3 - 164. What is the lowest common multiple of 9 and r(3)?
36
Calculate the common denominator of (-43*(5 + (-445)/90))/(-5) and -68/9.
90
Let j = -2826 - -1147359/406. What is the common denominator of j and -71/12?
2436
Let h(y) = -2*y**2 + 58*y + 62. Let v be h(30). Suppose 2*j - 3*s + 1 = 5, -4*s + 32 = v*j. What is the lowest common multiple of (-2)/(-7) - 103/(-7) and j?
120
Suppose 4*s = d - 22, s = -4 + 3. Calculate the smallest common multiple of d and 1250.
11250
Let g = 1168113/40 + -29205. Find the common denominator of g and -28/11.
440
Let k(f) = -502*f**2 + f. Let i be k(1). Let o be (-22 - -1)*3/i. Let l = o - 10315/3674. What is the common denominator of l and 97/22?
22
Let l(f) = f - 8. Calculate the smallest common multiple of 6 and l(15).
42
Let u = -3/2234597 - -306146059/4670307730. Find the common denominator of u and 101/4.
4180
Let m = 2336717/5130 + -1/2565. Let t = 2809/6 - m. What is the common denominator of t and 7/32?
96
Suppose -4*w - 9 - 79 = 0. Let g = w + 70. Calculate the common denominator of 5/3 and g.
3
Let q = 59/3 - -17/6. Let d be (-67512)/(-28) + (2 - 0). Let