Suppose n = 5*a - 13, -4*a + 78 = 3*n + 22. What is the smallest common multiple of 18 and n?
36
Let w(s) be the third derivative of -23*s**6/120 + s**5/30 - s**4/24 - 4*s**2. Let t be w(1). Let j = t + 34. Calculate the least common multiple of 18 and j.
36
Let i = 1669 + -1651. Calculate the smallest common multiple of i and 3.
18
Suppose 2*x - 2 + 6 = 0. Let l = -3239 - -16252/5. What is the common denominator of l and -3 + 69/x + 1?
10
Suppose -5*m = -5*a + 20, 2*a = 5*a - 5*m - 18. Let t(p) = 19*p**3 - p**2 + p - 1. Calculate the least common multiple of t(a) and 40.
360
Let w(q) = q**3 - 2*q**2 - 7*q - 7. Let m be w(4). Find the common denominator of m*1 - 98/(-18) and ((-16)/5)/(36/(-50)).
9
Let t = -286 + 637. What is the common denominator of (-906)/16*52/t and (-2)/8 - 38/88?
198
Let y(u) = u - 5. Let n = -16 + 21. Let k be y(n). Calculate the common denominator of k + ((-105)/(-16))/(-7) and 81/20.
80
Let h(f) = -7*f**2 + f - 1. Let p be h(1). Let g be 2/p - (-1756)/6097. Let k = g + -6115/7839. Find the common denominator of k and -71/8.
72
Suppose -15 = -x + 5*v, -v = -x - 7 + 2. Let z = 8 - x. What is the smallest common multiple of 6 and z?
18
Let z(s) = 78*s**3 - 5*s**2 + 4*s. Calculate the lowest common multiple of z(1) and 238.
2618
Let k = -2353879/3704634 + 303/4379. Let t = 1/94 + k. Find the common denominator of t and (-185)/15 + (-2)/(-4).
18
Let s = -3 + -7. Let w be (-877)/(-450) - 5/s. Let l = w + 11/25. Calculate the common denominator of -48/11 and l.
99
Let d = 90 - 90. Suppose -k + 2*b + 16 - 2 = d, 0 = b - 1. What is the smallest common multiple of k and 36?
144
Suppose 7*u - 10 = -5*g + 2*u, -4*g - 5*u + 6 = 0. Calculate the least common multiple of 9 and 1/(0 + 3/9) + g.
63
Find the common denominator of 65/3 and 32/((-56)/(-7)) - (-292)/(-66).
33
Suppose -9*q - 5*q - 70 = 0. What is the common denominator of 57/7 and q/(-10) + (-74)/3?
42
Let q be ((-22)/3)/(2/(-15)). Calculate the common denominator of 63/16 and (2/q)/((-24)/2190).
176
Let v be 6/(-12)*(-4)/1. Suppose -3*h = -9, v*z - h = -4*h - 21. What is the common denominator of (38/(-8))/(z/(-90)) and -131/18?
18
Let t(a) = -a - 3. Let v be t(-1). Find the common denominator of -37/3 and (v + 74/6)/((-8)/(-18)).
12
Let t = -287 + 331. What is the least common multiple of 76 and t?
836
Let j = 413 + -337. What is the lowest common multiple of 16 and j?
304
Suppose 2*g = -15 - 301. Find the common denominator of 1*g*(-3)/(-12) and ((-2)/36)/(2*2/(-246)).
12
Let i(s) = -3*s - 2. Let v(f) be the second derivative of -f**3/6 + 21*f**2/2 + 4*f. What is the smallest common multiple of v(12) and i(-2)?
36
Suppose 0 = -u + 2 + 43. Let s = 67 - u. Calculate the lowest common multiple of 6 and s.
66
Suppose -h + 2*h - 30 = c, 0 = -5*h - 4*c + 132. Suppose -5*t - 2*z = -18, -3*t + z + 9 = 4*z. Calculate the lowest common multiple of t and h.
28
Let w(t) = -3*t**2 - t**2 - 5*t + 5*t**2 - 4. What is the least common multiple of 36 and w(7)?
180
What is the common denominator of ((-833)/(-85))/((-32)/(-10)) and 67/22?
176
Let p = -28971/8 - -3615. Let w = 12 + -9. What is the common denominator of p and (-3)/w + 47/6?
24
Let a(s) = -2*s + 1. Let i be a(3). Let n be 37/i - (-2)/5. What is the common denominator of (-350)/12 - n/(-21) and -91/8?
8
Suppose 2*f + 0 = 8. Let h = -19 - -22. Suppose -2*n = -5*o + 100, -h*o - n + 3 + 46 = 0. Calculate the least common multiple of o and f.
36
Suppose 0 = 5*c + 5*x - 5 - 30, x = -3*c + 13. Suppose -c*j - 3 = 4*y - 2, 3 = -j. Suppose -5*t + 20 = -3*t. What is the smallest common multiple of y and t?
10
Let y be -27*(-5)/((-45)/(-6)). Calculate the least common multiple of 10 and (4 - y - -4)/(-1).
10
Find the common denominator of 8 + (-4612)/672 + -2 and 85/54.
1512
Let o = -2 - -12. Suppose -3*x = o + 2. Let g(n) = -n**3 - 3*n**2 + n - 4. What is the lowest common multiple of 20 and g(x)?
40
Suppose i + 5*b + 10 = 0, 11*b + 24 = 4*i + 15*b. Suppose 2*s - 5*s = -204. What is the smallest common multiple of s and i?
340
Let d = -31480/9 + 3502. Calculate the common denominator of (-2)/(-7) - (-59)/63 and d.
9
Calculate the common denominator of (7991/(-31476))/((-1)/(-2)) and 14/33.
2838
What is the common denominator of (-5)/(40/(-32)) + 16/(-17) and 20/3?
51
Let w be 0 + 0 + -1 - 13312. Let s = w - -212939/16. Find the common denominator of s and (-1419)/220 + 2*1.
80
Let r(w) = -91*w + 7. Let k be r(8). Let v = k + 438. Let n = -1990/7 - v. What is the common denominator of n and 37/3?
21
Find the common denominator of (-70)/140*(-38)/(-10) and -103/6.
30
Let t = -46 - -33. Suppose -3*j + 2*c = -89, 7*j - 3*j - 104 = -c. What is the least common multiple of j and t/(-2) - 2/(-4)?
189
Suppose 23 - 99 = -4*p. Calculate the common denominator of -1 - (0 - 166/18) and -3 - (p/(-10) + 2).
90
Let z be 8420/(-4664) + 2/(-4). Let w = -11/106 + z. Find the common denominator of (((-60)/(-18))/10)/((-42)/225) and w.
154
Let s be (1088/6)/(-1) + -1. Let g = -7685/42 - s. Calculate the common denominator of ((-10)/15)/(88/630) and g.
154
Let v = -3699/136 - -286/17. Find the common denominator of v and -79/10.
40
Let j be ((-250)/15)/((-2)/93). Let g = j + -12493/16. What is the common denominator of g and (-26)/(-130)*105/2?
16
Suppose 181 = 3*g + 97. What is the least common multiple of g and 7?
28
Suppose -x + d + 38 = 4*d, -2*x = 2*d - 92. Suppose 4*u + 20 = -2*p, 4*p + 2*u = -p - x. Let w = p - -18. What is the smallest common multiple of 12 and w?
24
Let c = 27 + -34. Find the common denominator of 3934/784 - (-1)/c and 99/20.
40
Let f(u) = -6*u**2 - u + 5. Let o(k) = 2 + k - 4 - 3*k**2 + 2*k**2 + 4*k**2. Let m(q) = 2*f(q) + 5*o(q). What is the smallest common multiple of 6 and m(-3)?
18
Let n be (2/(-8))/((-155)/764020). Let p = -546586/341 - n. Let d = p + 2833. What is the common denominator of d and -151/6?
66
Let u = -773 - -1148. Calculate the least common multiple of u and 30.
750
Suppose 78 = 4*n + 5*d, 0*d - 40 = -2*n - 2*d. Suppose s - 46 = -n. What is the smallest common multiple of s and 8?
24
Suppose -3*s - 28 = -4*b - 216, 3*s = -b + 193. What is the least common multiple of 10 and s?
320
Let i = -47267/78 + 606. What is the common denominator of i and 53/39?
78
Calculate the common denominator of ((-572)/(-33) - 11)/((-8)/(-9)) and 33/29.
232
Let t = 309 - 307. Let s(g) = 4*g - 1. Let d be s(-1). Let r = t - d. Calculate the lowest common multiple of 8 and r.
56
Suppose 5*a + 43 - 18 = 0, -u + 4*a = -484. Calculate the least common multiple of 8 and u.
464
Suppose 0 = 9*m + m - 20. Suppose -22*u - 503 + 1955 = 0. Calculate the lowest common multiple of m and u.
66
Let f(s) = 25*s + 52. What is the smallest common multiple of 104 and f(0)?
104
Let v(g) = -g - 7. Let t be v(-6). Calculate the common denominator of -27/2 and (t - -231)*(-12)/(-336).
14
Suppose 58 = -14*r + 142. Let o(q) = q**3 + 5*q**2 - q. What is the least common multiple of r and o(-3)?
42
Suppose -3*c + 4*s + 20 = -0*s, 25 = -5*s. Suppose c = -j + 2*t - 9, 20 = 5*j + t + 2*t. What is the lowest common multiple of j and 26?
26
Find the common denominator of 89/20 and 3956/60168*1/1.
6540
Find the common denominator of ((-6)/20)/((-21)/882) and -32/131.
655
Let k = 22/193 + 8189/965. Calculate the common denominator of 17/322 and k.
1610
Let z be -1*(-2 + 1) + (20 - 36). What is the lowest common multiple of 4 and 6/(-15) + (-21)/z*6?
8
Calculate the least common multiple of (-40)/(-105)*-9*(-7)/2 and 32.
96
Suppose -i + 9 = 5*p + 14, -3*i + 13 = p. Calculate the common denominator of -143/24 and (-2)/12*p/(-7).
168
Let w be (-10)/(3*4/12). Let q = -9 - w. What is the common denominator of 213/42*q - 3 and 119/10?
70
Suppose -5*k = 5*c - 25, -2*c - 29 = -7*c - 3*k. What is the lowest common multiple of 70 and c?
70
Let i(g) = -80957260*g**2 - 2*g - 2. Let t be i(3). Let y = t - -10882598850781/14936. Let r = 2/1867 + y. What is the common denominator of -11/4 and r?
8
Let v = 5008 + -230351/46. Calculate the common denominator of v and -31/6.
138
Calculate the smallest common multiple of 7 and (-1)/(8/(-20))*462/55.
21
Suppose 7*t = 8*t + 9. What is the common denominator of -37/5 and t/5 - (-7 + 11)?
5
Let z be ((-389643)/(-10))/(12/2). Let v = 