+ 9/(36/16) and 1?
2
Let h be (2 + -1 + 0)*3. Suppose 3*i + 35 = z, -h*z = i - z. Let c = 2 - i. Calculate the least common multiple of 4 and c.
12
Let s = -35 + 102. What is the lowest common multiple of 1 and s?
67
Let l(i) = -16*i**2 - 3*i - 3. Let d be l(-2). Let r = -790/3 - -280. Find the common denominator of ((-8)/(-6) + -1)*d and r.
3
Let q(h) = h**3 + 4*h**2 + 2*h - 3. Let y be q(-3). What is the lowest common multiple of (1 - 2)/(-1 - y) and 7?
7
Let j be 2/(-1) + (-27955)/6. Let l = -15775 + 11130. Let z = l - j. Calculate the common denominator of z and 25/8.
24
Let i(q) = q**2 - 12*q + 1. What is the smallest common multiple of i(13) and 14?
14
Let n = 3552/55 + -750/11. What is the common denominator of n and 87/94?
470
Let i = -298/5 - -241/10. What is the common denominator of i and 1/7?
14
Suppose -3*l + 110 = 2*l. Suppose -8 = -3*u + l. Calculate the lowest common multiple of 11 and u.
110
Suppose 0 = -4*s + 3*s. Suppose -5*w + 13 = -4*c, -3*w = -s*c + 2*c - 21. What is the least common multiple of w and 1?
5
Let o = -29/195 + 6479/1170. Calculate the common denominator of o and (-1)/4 + 126/20.
180
Let r(p) = -p + 7. Let s be r(6). Let f = 1595/12 - 4975/36. What is the common denominator of (-74)/40*3 + s and f?
180
Let t(h) = -h - 12. Let g be t(0). What is the common denominator of 6/4 - 30/(-11) and 338/(-96) - (-8)/g?
176
Let h = 69593/12 + -5790. Calculate the common denominator of h and -81/32.
96
Let v be (88/(-10))/(4/(-20)). Calculate the common denominator of 2/(4/(-87)*-3) and (1/(-3))/(v/408).
22
Suppose 2*y + 2*y = 3*x + 28, -2*y - 3*x = 4. Suppose -5*v = 105 - 305. Suppose -y*b + v = b. What is the least common multiple of b and 8?
8
Suppose 0*d - 20 = -2*s + 4*d, 0 = -2*s - 5*d - 7. What is the lowest common multiple of s and 44?
44
Let t = -7219/24 + 1183/4. Calculate the common denominator of t and 5/9.
72
Let f(v) = -v**2 + 11*v - 18. What is the least common multiple of f(5) and 12?
12
Let t be (6/495)/(21492/9244119369117124445). Let m = t + -5213564663447. Let v = -2/16119 - m. Calculate the common denominator of v and 19/6.
66
Let w = -11 + 17. What is the lowest common multiple of w and 4?
12
Let b(q) = -q**3 - 5*q**2 + 9*q - 6. Let a be b(-8). Let w = -13/53 + -2253/106. What is the common denominator of w and a/(-20)*2*-1?
10
Suppose 47 = 3*o + 2*o + 3*r, -4*o = -r - 41. What is the least common multiple of o and 38?
190
What is the common denominator of -12/7 and (10/1 + -2)/((-6)/(-33))?
7
Let t(o) be the first derivative of -o**2 - 2*o - 7. What is the lowest common multiple of 4 and t(-4)?
12
Let u = -6 + 5. Let p(y) = -8*y**3 - y - 1. What is the least common multiple of p(u) and 10?
40
Suppose -h + 16 = 2*j, -j + 0*j - 14 = -5*h. Let t = 2 + -2. What is the smallest common multiple of j and (2 + -1)/(1 + t)?
6
Let v = 0 + 6. Let d be (-4)/(-6) + (-2)/3. Calculate the smallest common multiple of v and (-95)/(-5) + d + 1.
60
Let f = -4135 + 463115/112. What is the common denominator of f and 91/6?
336
What is the common denominator of -74/9 and 0 - ((-340)/(-144) - (-2)/9)?
36
Let o be (2 - 5)*484/(-3). Suppose -2*i = -4*y - 518, 4*y + 2*i = -38 - o. What is the common denominator of (y/(-16))/((-36)/(-16)) and 77/8?
72
Let j(o) = o**2 + o - 1. Let w be j(1). Let l(k) = 7*k + 1. Suppose 13*m - 24 = 10*m. Calculate the lowest common multiple of m and l(w).
8
What is the least common multiple of 4 - (1 - (1 - -7)) and 79?
869
Let m be (16/10)/(2/(-15)). Let a = 8/731 - -22533/11696. Calculate the common denominator of (12/(-126))/(m/261) and a.
112
Let j = 0 - -1. Suppose -4*f + 10 + 34 = -4*i, -3*f = -2*i - 26. Let r = 10 + i. What is the lowest common multiple of j and r?
3
Suppose -16 = -2*d - 2*d. Let w be d/10 + 36/10. Suppose 7*l = w*l + 42. What is the lowest common multiple of 6 and l?
42
Let m = 47622829/966 - 49299. Let w = m - 19783/3864. Find the common denominator of w and 29/11.
88
Suppose -5*b + 10 = -0*b. Suppose -4*p + 34 = -2. What is the lowest common multiple of b and (-1)/(-2 + p/5)?
10
Find the common denominator of ((-63)/196)/(4/126) and -49/18.
72
What is the lowest common multiple of 10 and (-7)/(35/15) + (2 - -5)?
20
Suppose 0 = 2*s + 4*h - 39 + 17, s + 7 = 4*h. Suppose 0 = s*f - 9 - 41. Calculate the least common multiple of 2 and f.
10
Calculate the common denominator of (-64)/20 - 1/(-6) and 40/3.
30
Suppose b - 42 = i, 0*i + 5*i = 2*b - 78. Let l = 146713/26020 + 15/1301. What is the common denominator of l and -1 - 0 - (-70)/b?
220
Calculate the common denominator of -99/14 and ((-20)/(-36))/(4/10).
126
Let v = -10 + 14. Suppose 2*a + 2 - v = 0. Let o = -1 + 8. What is the smallest common multiple of o and a?
7
Suppose -j + 3 = -0*j. Suppose 5*h - 20 - 20 = 0. Calculate the least common multiple of h and j.
24
Let r = 30 - 23. Calculate the lowest common multiple of 4 and r.
28
Let h(c) = c**2 - 7*c + 6. Calculate the smallest common multiple of h(8) and 8.
56
Let h = 18 + -10. Suppose 5*a = a + h. Let g(z) = -z**3 + 24*z**2 + 23*z + 54. What is the lowest common multiple of a and g(25)?
4
Let j(i) = -i**3 + 18. Calculate the least common multiple of 14 and j(0).
126
Suppose 8 + 0 = 2*u. Suppose -2*j - 7*v + 38 = -2*v, u*j - 40 = -v. Let g(c) = -c**2 - 9*c + 2. Calculate the smallest common multiple of g(-9) and j.
18
Let y = -17047/2 + 8766. Let b = -292 + y. Find the common denominator of -1*107*(-1)/18 and b.
18
Suppose 3*u + 5*c = 5*u + 51, -2*u + 3*c = 45. Let j = 2690 - 43055/16. Find the common denominator of j and (-4)/u + (-247)/18.
16
Let i(o) = o + 3. Let v be i(0). Suppose v*n - 20 = x - 3*x, 10 = x - 5*n. Calculate the lowest common multiple of x and 2 + -2 - 1*-11.
110
Suppose i + 2*b = -2*b + 27, 0 = 4*i + 3*b - 69. Calculate the common denominator of 615/(-12)*6/i and -61/6.
6
Suppose -3*h - 5 = -4*h. Let l(m) = 11 - 3 + 3 - m. Calculate the smallest common multiple of l(0) and h.
55
Let y(m) = m**3 + m**2 + 3*m - 2. Let h be y(2). Let z be 6/(-9) + h/6. Suppose -z*g + 5*g = 54. Calculate the least common multiple of g and 12.
36
Let a(t) be the third derivative of -t**6/30 - t**5/30 + t**4/12 + t**3/3 + 2*t**2. Let q = 2 + 0. Calculate the lowest common multiple of q and a(-2).
22
Let z be (4/7)/((-4)/(-14)). Let j be (-4 - 2)/(z/(-7)). Find the common denominator of j/(-60) + (-2)/(-4) and 143/12.
60
Let x = 40 + -33. Calculate the smallest common multiple of 5 and x.
35
Let n = -1484/15 - -5521/60. Find the common denominator of -79/38 and n.
228
Calculate the common denominator of 17/30 and -3 - (7/(-49) - 653/(-210)).
30
Suppose -i = -4*i + 6. Find the common denominator of 0 + 32/i + 1 and 28/11.
11
Let l = 393 - 85. What is the least common multiple of (-4)/(-24) + l/24 and 11?
143
Let n(s) = -s**2 + s + 7. Let g be n(0). Suppose -g = -3*k + 2*q, 5*q - 17 = 2*k - 6*k. What is the common denominator of k/(66/(-31)) - 0 and 5/12?
132
Let i be (-306422)/132 - (-4)/(-6). Let j = 2323 + i. Calculate the common denominator of j and 43/18.
198
Let k be ((-2)/(-48))/(1/142618). Let v = k + -5931. What is the common denominator of 87/(-22) - (-2 + 2) and v?
132
Let q be 4*(2/(-2))/1. Find the common denominator of (-98)/q*2/(-5) and 27.
5
Let d(p) = p**2 - p - 2. Let l be d(-2). Suppose l*j = 5*v - 11, v - 6*j + j + 2 = 0. Suppose -v*x = x - 8. What is the least common multiple of x and 12?
12
Suppose -42 = -0*c + 3*c. What is the common denominator of c and 15/7?
7
Suppose 5*j - 4*j + 2 = w, 2*w - 2 = 4*j. Let r be 6/(-3) + 1 + -5. Calculate the smallest common multiple of (-3)/2*40/r and w.
30
Let t = -1 - -3. Suppose 3*k = 3*r - 3, 0 = -4*r - 0*k - 4*k + 12. Calculate the lowest common multiple of r and t.
2
Let f(r) = r + 3. Calculate the least common multiple of f(5) and 2.
8
What is the common denominator of (3/(-28))/(2/44) and 1/3 - (-227)/66?
154
Let u(p) = p**3 - 3*p**2 + 2*p + 2. Let c be u(2). Suppose 8 = c*s - 14. Calculate the least common multiple of 13 - -3*(-3)/3 and s.
110
What is the common denominator of ((-30)/4 - -9) + (-98)/32 and 9/64?
64
Let q = -2219/8 - -280. Suppose 0 = -4*o + 12 + 16. Calculate the common denominator of 2 + (3003/(-60))/o and q.
40
Let z(r) = 3*r - 8. Suppose 0 = -s + 5*s - 84. Let j be ((-6)/7)/((-3)