
224
Suppose -24 = -3*w + w - 5*t, -16 = 4*t. Suppose -4*r + w + 66 = 5*m, -2*m + 3*r + 26 = 0. What is the smallest common multiple of 9 and m?
144
Let j(m) = 3*m + 4. Let x be j(-1). What is the smallest common multiple of (3 - 2/2) + 1/x and 30?
30
Let x = -295 + 460. What is the lowest common multiple of 15 and x?
165
Let w(p) = p + 1. Let t be w(5). What is the common denominator of 1232/(-96) + 3 + 2 and (2/t)/(3/165)?
6
Let x(a) = -a + 6. Let f be x(4). Let c(u) = f*u**2 + u**2 + u**2 - 1 - u**2 - u. Calculate the lowest common multiple of 9 and c(2).
9
What is the least common multiple of 3/4*(-64)/(-12) and 151?
604
What is the common denominator of 6/28*(-760)/342 and 103/240?
1680
Let j be (21480 + 1)/(1319 + 3). Let s be (-6)/(-4) - 7926/5288. Let g = s + j. Calculate the common denominator of g and -34/5.
20
Let f = -7/1115 - -88267/28990. Let n = 25157/14 + -1801. Find the common denominator of n and f.
182
Let x(w) = -w**3 - 7*w**2 - 7*w - 14. Let i be x(-8). Let f = 113 - i. Calculate the lowest common multiple of f and 9.
63
Let o(r) be the second derivative of 5*r**3/6 - 5*r**2 + 21*r. Calculate the least common multiple of 68 and o(3).
340
Suppose 0 = 1736*a - 1732*a - 1300. What is the lowest common multiple of 55 and a?
3575
Let c(l) = -l**2 + 28*l - 79. Calculate the lowest common multiple of 39 and c(14).
117
Let d = 12/7 + -619/14. Calculate the common denominator of d and (-16)/120 + 1707/315.
14
Let y be (-3 + (-102)/(-32))*(1 + -224). Let j = -5027/112 - y. What is the common denominator of (-2)/(-9) - 433/126 and j?
14
Let b(l) = l**3 - l**2 - 3*l - 4. Let h be b(3). Let s = -1509 - -16564/11. Find the common denominator of (-1)/h*-21 - -1 and s.
55
Suppose -x - v - 1 = 0, 13 = -5*x + 2*v + 1. Calculate the common denominator of -2*(-150)/(-36) + (-8)/(-12) and (-15)/(-48)*-2 - x.
24
Let p be (-270)/(-81)*7176/10. Suppose -5*u - p = -992. Find the common denominator of (-2)/4 - u/21 and 17/18.
18
Suppose 0 = 69*b - 81*b + 960. Calculate the lowest common multiple of b and 8.
80
Let x be (-1)/44 - (-8 - -5). Let m = -3/11 - x. Find the common denominator of m and -49/4.
4
Suppose -14*u - 3*u = -187. Calculate the smallest common multiple of u and 3.
33
Let m be ((-230)/175)/(264/(-32158)). Let n = -2338/15 + m. Find the common denominator of n and (-41)/16 - (4 - 3).
176
Let u be 6/(-15)*3/(12/(-40)). Let g(d) = 3*d - 7. What is the lowest common multiple of 7 and g(u)?
35
Let y = 1297 - 413766/319. Find the common denominator of 2/319 and y.
319
Let i be 1/((-2)/(-11))*-2. Let l = -7 - i. Suppose 57 = -0*m + 4*m - 5*w, -m + 4*w + 6 = 0. Calculate the lowest common multiple of l and m.
36
Calculate the least common multiple of 50/15*(-1 + 7) and 55.
220
Let p(s) = 86*s + 12. Let o be p(-5). Let y = o - -3337/8. Let q = 547/4 + -136. Find the common denominator of y and q.
8
Let g = 6 + -6. Suppose -m = -g*m - 899. Let n = m + -7183/8. Calculate the common denominator of 43/6 and n.
24
Let s(t) = 58*t**2 + 6*t. What is the smallest common multiple of 72 and s(1)?
576
Let m be 9128/(-98)*(0 - (-1)/6). Let t = m - -1711/126. What is the common denominator of -81/8 and t?
72
Let s be ((-12)/18)/((-2)/6). Let k(w) = 2*w**3 - 2*w**2 + 2*w - 2. What is the lowest common multiple of 9 and k(s)?
90
Suppose z - d = d + 2, 0 = 2*z - 2*d - 12. Let c = 7 - 5. Let y = 4 + c. Calculate the smallest common multiple of y and z.
30
Let x = -1/1565 - -158071/9390. Let u = -12 + 131/9. What is the common denominator of x and u?
18
Let g = -39/47 - -139/564. Let q = -7/6 + g. Calculate the common denominator of ((-568)/(-28))/((-40)/(-14)) and q.
20
Let c(w) = -w**2 - 10*w - 9. Let q be c(-7). Let d = q - 9. Suppose -d*u + 30 = 2*u. Calculate the smallest common multiple of 14 and u.
42
Let k = 39 - 877/20. Find the common denominator of (-1)/2 - 83/(-192) and k.
960
Let q = 14934383/196 + -76196. Calculate the common denominator of 119/10 and q.
980
Let g(v) = v**3 + 8*v**2 + 8*v + 6. Let p be g(-7). Suppose 0 = 16*k - 11*k - 35. Calculate the lowest common multiple of 8 and ((-20)/28 - p)*k.
8
Let a be (-2730)/25*3*(-10)/8. Let r = -417 + a. What is the common denominator of 37/5 and r?
10
Let y(z) = -z**2 - 6*z + 4. Let m be y(-5). Let r = -5 + m. Suppose 3*k = -5*s + 112, r*s + 9 = k - 0*k. What is the common denominator of 65/2 and k?
2
Suppose -14 = -4*h + 2*i - 0, -3 = 2*h - 3*i. Suppose 23 = -3*r + 5*q + 98, -15 = 5*q. Calculate the smallest common multiple of h and r.
60
Suppose -5*n - 3 + 163 = 0. Let c be (-1 + n/28)/134. Let q = c + 1069/2814. Calculate the common denominator of q and 19.
21
Let r = 44 - 45. Let h(l) = 5*l**2 - 2*l - 1. What is the smallest common multiple of h(r) and 100?
300
Let a = -14 + 18. Suppose -4*l + 44 = u + 3*u, 3*l = u + 13. Calculate the lowest common multiple of l and a.
12
Let d = 17052 + -511399/30. Let g = 47/34 - 2279/714. Calculate the common denominator of d and g.
210
Let m(w) = w**2 - 5*w + 4. Suppose 4*h + 2*x = h + 41, -7*h + 69 = -2*x. Calculate the lowest common multiple of h and m(5).
44
Let d = -92/203 + -9921/8120. What is the common denominator of d and -71/44?
440
Let a(l) = -8*l**2 - 112*l. Calculate the smallest common multiple of a(-11) and 144.
1584
Let i = 21201/22 - 1923/2. Calculate the common denominator of -30/1099 and i.
12089
Calculate the common denominator of -16/75 and 1 + (-386)/(-180) - (57 + -54).
450
Let z be (-4406)/(-616) + (-2)/(-8). Let t = 14771/924 - z. What is the common denominator of t and 3*1 + (-715)/60?
12
Let g = -42977597/9750758 - 30253/17187. Let z = 1/851 + g. Find the common denominator of z and 27/2.
6
Let o = -5367 + 42869/8. Calculate the common denominator of (6/88)/((-27)/171) and o.
88
What is the common denominator of -50/151 and (16/10)/((-170)/(-300))?
2567
Suppose 0 = -d - 2*d + 12. Suppose -2*j = -3*j - d. What is the common denominator of 4/(-24)*(-126)/j and -37/3?
12
Let c(g) = g**3 + 4*g**2 + 2*g - 1. Let t be c(-4). What is the common denominator of 14/(-12)*t/(-10) and 2/(-4) + 243/60?
20
Let l = -126581/104511 + -3/3167. Let n = 49081/3714 - 30/619. What is the common denominator of l and n?
66
Suppose -3*i = -12, 81*h - 84*h - i = -22. Calculate the lowest common multiple of 237 and h.
474
Let t(o) = -2*o - 10. Let n(y) = -y**3 - 13*y**2 - 11*y + 3. Let r be n(-12). Calculate the lowest common multiple of 7 and t(r).
56
Find the common denominator of 63/85 and -12 - -1 - 305045/(-29070).
1530
Suppose 0*t + 4*t = 32. Suppose -7*k - 62 + 188 = 0. Let z = k + -10. What is the lowest common multiple of z and t?
8
Let z be 46/(-42)*252127/(-66540). Let l = -658188 + 45985620994/69867. Let q = l - z. Calculate the common denominator of q and -109/10.
20
Suppose 0 = -4*b + 5*c + 73, 0 = 4*c + 3 + 1. Suppose w + g + 19 = 0, -3*w + 2*g = 45 + b. What is the lowest common multiple of 6 and -4*24/w*5?
24
Let r = -6377 - -829033/130. What is the common denominator of -55/2 and r?
130
Let f = 26641/24 - 1113. Calculate the common denominator of ((-2)/5)/((-36)/355) and f.
72
Let a = -43 - -68. Let j = a + 23. What is the least common multiple of 16 and j?
48
Let q(p) = 3*p - 3. Let h be q(-5). Suppose 17*i - 102 = 14*i. Let d = i + h. Calculate the lowest common multiple of d and 11.
176
Suppose 0 = -0*c + 4*c - 32. Suppose 6*v + 0*v = 60. Calculate the lowest common multiple of v and c.
40
Let t(z) = -45*z + 195. What is the lowest common multiple of 105 and t(2)?
105
Calculate the common denominator of -143/60 and (-26)/195*1/((-2)/(-69)).
60
Suppose -16*q + 0*q - 49664 = 0. Let s = -18505/6 - q. Let j = -1/5318 + 65151/29249. Find the common denominator of s and j.
66
Suppose 3*g = p + 5, -g + 2*p = p + 1. Suppose l - 21 = -2*h, -g*h + 30 = h - 2*l. What is the lowest common multiple of h and 27?
27
Suppose r - 5*j - 13 = 0, 43 = 5*r + j - 4*j. Let z = 6 + r. What is the lowest common multiple of 36 and z?
252
Let k = 1/75 + 172/225. What is the common denominator of (2/10)/((-3)/39) and k?
45
Let f be (0 + 1)/((-6)/(-498)). Let m be (-15)/(4 + f/(-20)). What is the least common multiple of m/(-10)*4/(-2) and 22?
220
Let h be (1 + -15215)*11/(-132). Let c = h - 1287. Find the common denominator of 34 - -2*2/(-8) and c.
6
Let q(j)