 and s.
63
Let g(z) = -5*z - 28. Let t(n) = n**3 + n**2 - 3*n + 1. Let b be t(-3). Calculate the smallest common multiple of g(b) and 14.
84
Let h = 43/5 - 1031/60. Find the common denominator of h and ((-52)/(-24))/((-16)/14).
48
Let q = 1195 - 1175. What is the lowest common multiple of q and 1140?
1140
Let d = -2818/7 - -16075/42. Let i = -1713 - -6909/4. Find the common denominator of d and i.
12
Let r(s) = -7*s - 2. Let j be r(-1). Suppose k - j*k = -8. Suppose k*d - 24 = -d. What is the smallest common multiple of 10 and d?
40
Suppose -17*b - 174 = -19*b. Suppose 0 = -9*i + 3 + b. What is the least common multiple of 14 and i?
70
Suppose -2*y + 3*r = -4, 3*r - 10 = -4. Suppose y*c = 20 + 20. What is the least common multiple of c and 10?
40
Let z(p) be the third derivative of 7*p**4/12 + p**2. What is the smallest common multiple of z(1) and 6?
42
Suppose -7*g + 3*g - x = -94, -3*g + x = -74. Calculate the lowest common multiple of 15 and g.
120
Suppose 0 = f + 1, 0*i = -i + 2*f + 8. Find the common denominator of 31/12 and 31/20 + i/(-12).
60
Suppose 7*v = -181 + 769. Calculate the smallest common multiple of 20 and v.
420
Find the common denominator of 8/(-96)*(-416)/(-12) and 151/78.
234
Suppose 0*s + 2*s = 4258. Let j = s + -8595/4. Find the common denominator of 71/20 and j.
20
What is the common denominator of (-343)/(-54) - 105/21 and 79/99?
594
Let m be (-38)/42 - 2/(-6). Let k = m + 19/21. Calculate the common denominator of (39/26 + 62/(-40))*(154 + -16) and k.
30
Suppose -6 = -6*f - 0*f. What is the common denominator of 0/f + 584/160 and -95/8?
40
Let g(h) = -h**2 + 11*h + 10. Suppose 0 = -3*k + t + 3*t + 52, 5*t = 5*k - 80. Let j be g(k). What is the least common multiple of j + (-1)/((-4)/40) and 10?
40
Let u = 753/10 + -254/5. Suppose -11 = 2*j + 1. Find the common denominator of u and 186/(-30) - 3/j.
10
Let a(j) = -j**2 - 4*j - 2. Let p be a(-5). Let h be (-24454)/8106 + p/(-42). Let q = 40/193 + h. Find the common denominator of -3/2 and q.
14
Let c be 15/4 + -4 + 61998/(-8). Let w = c - -155063/20. Find the common denominator of w and -13/32.
160
Let s = -600421/24 + 25014. Find the common denominator of 119/60 and s.
120
Let f be (-8 + 5)*3/(-2 + -1). Suppose -3*n = -w - 97, -w + 5*w = -f*n + 107. Calculate the least common multiple of n and 5.
165
Let r(d) = -d**3 - 11*d**2 - 10*d + 7. Let p(w) = 2*w. What is the lowest common multiple of r(-10) and p(3)?
42
Let q(i) = i**2 - 16*i + 81. What is the smallest common multiple of q(15) and 6?
66
Let h(i) = -i**2 - 3*i + 7. Let f be h(-4). Let c(a) = -a**3 + 4*a**2 + 3. Calculate the smallest common multiple of 10 and c(f).
60
Let p be (-6)/(-232)*(-4)/(-78). Let q = 7713849/7 + -46530066423/42224. Let o = p - q. Find the common denominator of 83/2 and o.
16
Let m = -1907/176 - -15/176. Find the common denominator of -97/180 and m.
180
Let i = -17071 + 238883/14. Let l be 1161/2442 + 2 - -1. Let x = -26/37 + l. What is the common denominator of i and x?
154
Let i = 969 + -2966/3. Let j = 15 - 5. Calculate the common denominator of (-1)/j*(1 + -107) and i.
15
Let u = 22 - 19. Suppose -4*j - 11 = 2*h - 41, -6 = -u*j + 4*h. What is the lowest common multiple of 62 and j?
186
Suppose 0 = -f - 3*f - 156. Let z = -21 - f. Calculate the lowest common multiple of z and 6.
18
Let o = 554/117 + -92473/20592. Calculate the common denominator of o and -93/16.
176
Let n = -6884 + 12564. Suppose 5403 + 277 = 4*k - u, -n = -4*k - 4*u. Find the common denominator of (2/(-60))/((-8)/k) and -11/18.
36
Suppose 0 = 2*p + p - 21. Let i = 15 - p. What is the least common multiple of i and 6?
24
Let j = 4/54567 + 115627445/381969. Let u = 33505/112 - j. What is the common denominator of u and -107/10?
80
Let p = -7911 + 174079/22. Let i be (85/10)/((-28)/86). Let m = i + 258/7. What is the common denominator of p and m?
44
Let t = -18209/121608 - -7/1126. Calculate the common denominator of -20/33 and t.
2376
Suppose 0 = -3*r + 3*p + p + 26, -4*r - 5*p = 17. What is the lowest common multiple of r and 86?
86
Let y be (-1 + 0)*(-34 + 1). Suppose -2*q + x = 5*x - 30, -5*x + 65 = 5*q. Find the common denominator of (-86)/(-18) - y/q and -67/4.
36
Let n be 3 + 5 + (-1 - -1). Suppose n*y - 50 = 14. Suppose -42 - 2 = -4*a. What is the lowest common multiple of y and a?
88
Let p(r) = -2*r**3 - 4*r - 4*r**2 - 2 + r**3 - 2*r**3. Let g be 4/26 + 364/507*-3. What is the least common multiple of p(g) and 20?
140
Let f = -34 - -24. Let y(v) = -v**3 - 11*v**2 - 7*v - 5. What is the common denominator of (4 - 2 - (-2)/(-10))*3 and y(f)?
5
Let i(j) = -2*j**3 + 3*j**3 + 2*j - 8*j - 2. Let x be i(3). Find the common denominator of -89/32 and 85/4 + x + -8.
32
Let w = 17031624889049667/61432 - 277243535758. Let t = 1/8776 - w. Find the common denominator of 81/8 and t.
56
Let y = 606 + -1161/2. Find the common denominator of 28/95 and y.
190
Suppose 4*g + 582 = 2*b, -g = 3*b + 41 + 122. Let m be (g/(-8) + 1)*-152. Find the common denominator of 2/(-19) + 1626/m and 81/22.
286
Let b = 2786 - 2809. Let w = -317197/30 - -10571. Find the common denominator of b and w.
30
Let z be -1 + -1 + 10 + -5. Calculate the common denominator of (-6)/(-4)*-43*1/z and -13/8.
8
Let g = -334 + 333. Let z be (-2 + 1)/1 - 51. Calculate the lowest common multiple of g/(3 - z/(-16)) and 12.
12
Suppose 4*q = -4, 0 = p - 3*q + 2*q - 16. Let b be (2/3)/(1/p). Calculate the least common multiple of 2 and (b/(-30))/((-2)/60).
10
Suppose -17*w + 11071 = -32653. Let l = w + -20521/8. Calculate the common denominator of -16/15 and l.
120
Let h = -22940 - -1101187/48. Calculate the common denominator of 95/276 and h.
1104
Let c = 5 + 31. What is the least common multiple of 3*(-1)/(-1) + -1 and c?
36
Let f = 5/252 - 1501/5796. What is the common denominator of 1/10 and f?
230
Let f = -2203 + 99227/45. What is the common denominator of 101/54 and f?
270
Suppose 2*g = t + 4*g - 2, 3*t + 2*g = 10. Suppose 3*b + 5 = -2*b - 5*y, 0 = 5*b + 4*y + 6. Calculate the smallest common multiple of t and (-7)/14 - 37/b.
36
Suppose -5 = d - p, 0 = -d + p + p - 10. Suppose d = k + 3*h + h - 26, k + 2*h = 18. Let l = -347/13 - -4337/143. Find the common denominator of k and l.
11
Let x be 8 + (-1 - -4)*-1. Let i = x + 1. Suppose -i*m + 125 = -2*m + w, 0 = m + 2*w - 40. What is the lowest common multiple of 10 and m?
30
Suppose 4*h + 5*v - 3*v = 0, 2*v = 4*h. Suppose 4*g + f - 11 = h, g = 3*g - 2*f - 8. What is the smallest common multiple of 24 and g?
24
Let p = 1035 - 1031. Calculate the lowest common multiple of 490 and p.
980
Calculate the common denominator of 31/(-7)*(-1)/3 and (-1 - 2) + -1 + (-92)/(-6).
21
Let g = -696 - -761. What is the smallest common multiple of g and 130?
130
Let x(m) = m**3 + m**2 - 5*m + 4. Let g(b) = b**2 - 22*b + 2. Let k be g(22). Suppose 0*t - t = -9. Calculate the lowest common multiple of t and x(k).
18
Let r = 2165/6 + -360. Find the common denominator of r and (4/5)/2 - (-5341)/4410.
18
Suppose -21 = -4*f + 11. Calculate the smallest common multiple of f and 1/((-4)/(-24)*(-3)/(-4)).
8
Suppose 19 + 19 = 2*o. Let z = 90/7 - o. Find the common denominator of 544/(-96) - (3 - -8) and z.
21
Let r = -145215/8927 + -51255045927/178540. Let v = 287152 + r. Let w = 206/5 - v. Find the common denominator of -7/2 and w.
4
Let u = -64931/27 + 2403. Calculate the common denominator of -55/246 and u.
2214
Suppose -3*f + w = -6*f - 2, -22 = f - 5*w. Let c(x) = -11*x. Let r = -22 + 32. Calculate the lowest common multiple of c(f) and r.
110
What is the common denominator of -55/28 and (-6)/12*-61*(-2)/4?
28
Let v = 584 + -2957/5. Calculate the common denominator of (-10 - 388/(-24))*4*-1 and v.
15
Suppose 90 = 2*q + q. Let u be q/3 - (0 - -3). Suppose n + 4*o + u = -4*n, -2*n + 5*o + 17 = 0. Calculate the lowest common multiple of n and 8.
8
Let y = -24021541/7740 + -14290/387. Let w = -8193/20 - y. Let q = w - 2724. Calculate the common denominator of q and 99/8.
24
Calculate the common denominator of (5/(-16))/(5 + 2/(-4)) and 101/64.
576
Let u = 1 + 2. Suppose -37 = -3*l + l + u*j, j = -l + 11. Suppose 32 = -0*o + 2*o + 2*n, 4 = -2*n. Calculate the lowest common multiple of l and o.
126
Let v = 1049/104 - 265/39. Calculate the com