) and 21.
210
Suppose -4*n + 440 = -5*h, -4*n - 2*h + 440 = h. Let p(j) = j**2 - 8*j + 11. What is the smallest common multiple of p(9) and n?
220
Calculate the smallest common multiple of 60 and (-110)/(-132) - (0 - (-7)/(-6)).
60
Let v = 52093/10 + -5214. Calculate the common denominator of v and -181/60.
60
Let s(r) = -r**3 - 16*r**2 - 29*r + 16. What is the smallest common multiple of s(-14) and 24?
120
Suppose -5*s + 160 = -0*s. Suppose 160 = -18*y + 8*y. Calculate the common denominator of 19/11 and y/s - (-70)/44.
11
Suppose 23 = d + 2*k, -4*d + 3*d = 6*k - 3. Calculate the lowest common multiple of d and 18.
198
Let k = -5733/4154 - -205/201. Find the common denominator of k and 41/6.
186
Let h be 2 + (-8)/4 + -1. Let m(f) = -7*f - 1. Calculate the lowest common multiple of m(h) and 8.
24
Suppose 52*h = 63*h - 44. Calculate the least common multiple of 14 and h.
28
Let t = 10673/42 - 1682/7. Let b = -19553/8 - -2440. Calculate the common denominator of b and t.
24
Let u(n) = 8*n + 12. Let o(c) = 17*c + 25. Let l(h) = 3*o(h) - 7*u(h). Calculate the lowest common multiple of 5 and l(-3).
30
Let f = -1749063/212926 + 2/15209. Calculate the common denominator of f and ((4585/60)/7)/((-1)/(-2)).
42
Let m = 109979/19250 - -3/2750. Let v = 115493 + -742483/6. Let q = v + 8234. Calculate the common denominator of m and q.
42
Let z = -167/2 - -77. Let t = -128 + 154. Calculate the common denominator of t and z.
2
Calculate the least common multiple of 5 and (-109)/(-4) - 14/56.
135
Calculate the common denominator of 6/(-75)*(-4280)/32 and 71/22.
110
Let n(x) = x**2 + 7*x - 6. Calculate the smallest common multiple of 12 and n(-10).
24
Let t(k) = k + 8. Let u be t(-8). Suppose u = 6*i - i - 830. What is the common denominator of 13/8 and 25/(-90)*i/10?
72
Let l be (-5)/(-630)*(-15)/(-19). Let w = l - -19403/2394. Find the common denominator of w and -38/11.
99
Suppose -12 = 3*z + 5*k, 4*k = -3*z + k - 18. Let g be ((-6)/z)/((-1)/(-27)). What is the smallest common multiple of 9 and (-64)/(-6) - (-6)/g?
99
Suppose 3*f + 62 = 80. Calculate the common denominator of -39/4 and (-201)/10*((-26)/f + 4).
20
Suppose -219*p + 217*p + 24 = 0. What is the lowest common multiple of 10 and p?
60
What is the common denominator of 5/15*(-291)/(-4) and -24/139?
556
Let b(d) = 16*d**2 + 9*d + 27. Calculate the lowest common multiple of b(-4) and 95.
1235
Suppose 2*w = -5*i + 50, 3*i + w + 2*w = 39. What is the common denominator of ((-125)/(-14))/(12/14) and 12 + -14 - (-1)/(i/(-110))?
12
Let d(y) = -y**2 - 14*y - 10. Suppose -4*k = -3*u + 2*u + 53, -u = k + 7. Calculate the smallest common multiple of 8 and d(k).
56
What is the common denominator of 73/6 and (-1)/(-60) - (-7)/(-49)*0?
60
Find the common denominator of 143/12 and (-4)/((-108)/(-21)) - 4.
36
Let c be ((-32)/(-10) + -2)/(24/40). Suppose 2*k - 4*k = 3*i - 28, 3*k - 16 = c*i. Calculate the lowest common multiple of k and 6/(-2)*16/(-6).
8
Let a(c) = c**3 + 8*c**2 - 12*c - 18. Let w = 110 + -77. Calculate the lowest common multiple of w and a(-9).
99
Let b = -137 - -301. Calculate the smallest common multiple of b and 8.
328
Let o(i) = i**3 - 7*i**2 + 5*i + 2. Let y be o(6). Find the common denominator of 16/(-32)*(-365)/(-20) and (19/(-8))/(11/y).
88
Let m = -15/149 - 1683/1043. Suppose k + 952 = 3*k + 4*c, 3*k + 4*c - 1436 = 0. Find the common denominator of ((-3)/20)/(6/k) and m.
70
Let m(h) = h**3 + 5*h**2 - 6*h + 11. What is the smallest common multiple of m(-6) and 54?
594
Let x = -88/5 + -39/10. What is the common denominator of x and 97/176?
176
Calculate the least common multiple of (-24 - 40/(-5))*(-10)/8 and 90.
180
Let y(w) = -w**3 + 14*w**2 - w + 20. Let k be y(14). Suppose -k*c + c = 100. What is the common denominator of 24/11 and c?
11
Suppose 4*i = 37 - 413. Let n = 214 + i. Calculate the least common multiple of 14 and n.
840
Calculate the common denominator of 11/((-1485)/63) + 1 and 83/120.
120
Let z be ((-54)/(-15))/(3/(-915)). What is the common denominator of -43/8 and z/12*(-2)/(-6)?
8
Suppose -2*o - 4*f = 4, 3*o + 5*f = o - 3. Calculate the common denominator of -25/4 and o/10 - (-477)/(-20).
4
Let r = -10 + 4. Let l = -18 + r. Calculate the common denominator of 53/16 and l/64*(-38)/5.
80
Let w(k) = 5*k**3 + 2*k**2 + 2*k + 5. Let r(a) = -4*a**3 - 3*a**2 - a - 6. Let y(b) = 3*r(b) + 2*w(b). Calculate the smallest common multiple of y(-4) and 9.
36
Let x = 35 - -19. Suppose 46 + x = 10*r. What is the least common multiple of r and 22?
110
Let s(k) = -2*k. Let r be s(-4). Let d(h) = -2*h**2 + h**2 - 8*h + r + 3. Calculate the lowest common multiple of 6 and d(-9).
6
Suppose -5*w = -0*b + b + 2, -3*b = 5*w - 44. Let g = 43 - b. Let v(t) = -3*t**3 + t**2 + t + 1. Calculate the lowest common multiple of v(-1) and g.
20
Let t(h) be the first derivative of h**4/4 - 3*h**2/2 - 9*h + 3. What is the smallest common multiple of t(3) and 27?
27
Let b = -28 + 34. Suppose 14 = 2*v - 3*j, -b*v + 38 = -2*v - j. Calculate the lowest common multiple of 2 and v.
10
Let j(b) = -b + 4. Calculate the least common multiple of 8 and j(0).
8
Let r = -1/1744 - 8267/29648. Calculate the common denominator of 71/200 and r.
3400
Suppose -16 = f + 6. Suppose -137*m = -163*m - 988. Calculate the common denominator of m and (-1)/(f/(-80)) - 0.
11
Suppose 7*d - 244 - 442 = 0. Suppose 5*k - 3*s - 138 = -35, 0 = 5*k + 2*s - d. Calculate the smallest common multiple of 20 and k.
20
Let v = -230387/14 - -16449. What is the common denominator of v and (561/55 + 4)*(-5)/34?
238
What is the common denominator of 62/27 and ((-109)/36 + 3)/(4/(-534))?
216
Let t be 11 + -10 - (0 - (-1 + 10)). Suppose t*q = 127 + 83. What is the least common multiple of q and 30?
210
Suppose -9*m + 12 = -7*m. Let l(c) = -4*c + c**2 - 1 + c + c**2 - 5*c. What is the least common multiple of 1 and l(m)?
23
Let c = 70 - 89. Let d = c - -37. Calculate the lowest common multiple of d and 10.
90
Let o(y) = -y**2 + 4*y - 5. Let b be o(5). Calculate the common denominator of 149/12 and ((4 - 3)*91)/b.
60
Let n = -101839/99222 + 10/2157. What is the common denominator of n and 59/322?
322
Suppose 4*f - 19 + 3 = 0. Let p(i) = -i**2 - 8*i - 5. Let d be ((-8)/(-6))/((-4)/18). Calculate the smallest common multiple of f and p(d).
28
Let n = 559858069/780 - 717767. Find the common denominator of 41/10 and n.
780
Suppose 21 - 11 = -5*t. Let b be 6/4 + t/4. Suppose -b + 19 = 2*m. What is the lowest common multiple of m and 3?
9
Let w(p) = 4*p**2 + 6*p - 6. Let d be w(3). Suppose -2*u = -d - 162. Calculate the common denominator of -4 + 0 - u/(-16) and -67/18.
144
Suppose -2*z = -t + 2215, -5*z + t = -z + 4433. Let b = 625502819/567564 + 1/94594. Let o = z + b. Calculate the common denominator of 29/4 and o.
12
Suppose 2*g = 5*g - 45. What is the smallest common multiple of g and (-1 - 76/(-28))/((-6)/(-63))?
90
Suppose -9*l + 24 = -57. Suppose -l*u + 7*u + 60 = 3*y, -u + 63 = 3*y. What is the smallest common multiple of 8 and y?
88
Let z = -6/10789 + -927584/485505. Find the common denominator of z and -19/7.
315
Suppose -t + 7 = b, 9*b - 4*t + 7 = 6*b. What is the least common multiple of b and 1?
3
Find the common denominator of -86/15 and (226/(-42) - -5)/((-60)/182).
45
Let x(u) = -u**3 - 23*u**2 + 24*u + 9. Let s(w) = -w**2 - 2*w + 4. Let v be s(-4). Calculate the lowest common multiple of 4 + v - (-2)/1 and x(-24).
18
What is the least common multiple of (732/16)/3 - 57/(-76) and (-224)/(-10) + 2/(-5)?
176
Calculate the common denominator of (-10)/(-15) - 15/(-9) and (-59)/42 - (-2 + 40/28).
6
Let w = -107/1079 - 20/249. Calculate the common denominator of w and 61/429.
429
Let q(m) = 2*m - 7. Let b(i) = 3*i - 11. Let o(c) = -5*b(c) + 7*q(c). Calculate the lowest common multiple of 12 and o(4).
12
Suppose 0 = -2*u, 0*u = -4*p + u + 156. Let q = p - 25. Calculate the lowest common multiple of q and 24.
168
Let t be 1 + 99535/50 + -2. Let v = t + -1992. What is the common denominator of 39/20 and v?
20
Let m = -46577/654976 - -21/2176. Calculate the common denominator of m and 87/4.
1204
Suppose -11*o + 79 + 713 = 0. Find the common denominator of 67/21 and 2/(-8) - -7*(-42)/o.
21
Suppose 5*g = -5*h + 195, -5*h = -2*g + 4*g - 186. Let j = h 