t y(z) be the first derivative of -z**3/3 - 7*z**2/2 - 6*z + 1. Suppose 0 = 2*d - 9*d + 154. What is the smallest common multiple of y(-5) and d?
44
Let g(s) = -s**3 + 4*s**2 + 6*s - 1. What is the lowest common multiple of g(5) and 144/54*(0 - -6)?
16
Suppose 13 = h - 1. Let c = h + 6. What is the smallest common multiple of 22 and c?
220
Let h(d) = 3*d**2 + 12*d + 12. What is the least common multiple of h(-4) and 42?
84
Let t(b) = -b + 4. Let m be ((-12)/8)/(3/(-4)). What is the smallest common multiple of 7 and t(m)?
14
Let d = -4 - -6. Let c = -26 + 29. Calculate the smallest common multiple of c and d.
6
Let m(w) = w**3 - 5*w**2 - w - 3. What is the lowest common multiple of 21 and m(6)?
189
Let b = -1/242 - -3086/121. What is the common denominator of b and 71/9?
18
Let j be (-1 - 29/(-2))*2. Suppose -2*s = s - j. Let k(y) = 8*y**3 + 1. What is the smallest common multiple of s and k(1)?
9
Let v = 69765/136 - 3185/17. Let q(x) = -2*x**3 + 12*x**2 - 10*x + 6. Let l be q(8). Let u = l + v. Calculate the common denominator of u and -59/14.
56
What is the common denominator of 6/(-9) + (-42)/27 and 17/9?
9
Let f(w) = 498*w - 10. Let y be f(-8). Let r = y - -31889/8. Calculate the common denominator of r and -163/42.
168
Let z(m) = m + 30. Let q = -3 + 3. Let s be z(q). Let t = -16 + s. What is the least common multiple of 16 and t?
112
Let y = 24980/11 + -2269. Let i = -1343/110 - -197/11. Calculate the common denominator of i and y.
110
Let d = 131 - 224. Let s = -11/7 - -23/28. Calculate the common denominator of s and -2 + (d/(-9) - -2).
12
Let y = 7 - 5. Let a be y/(-11) + 100062/(-88). Let p = 1121 + a. Calculate the common denominator of p and 101/8.
8
Suppose 1763 + 957 = -i. Let g = i - -27177/10. What is the common denominator of g and 139/18?
90
Let w(k) = -8*k - 2. Let o(t) = 9*t + 2. Let j(q) = 3*o(q) + 4*w(q). Let l(i) = -i**2 - 2*i + 1. Calculate the least common multiple of j(-2) and l(-2).
8
Let d = -1 + 3. Calculate the common denominator of 2012/80 + d/(-5) and -1/8.
8
Let f = 64 - 52. Calculate the lowest common multiple of 57 and f.
228
Let r(d) = -d**3 + 6*d**2 - 5*d + 5. Calculate the least common multiple of 5 and r(5).
5
Suppose 0 = 2*f - 5*h + 4, 3*h + 2 = 4*f - 4. Suppose 0 = -4*s + 4, 3*g = -f*s + 7*s - 130. Calculate the common denominator of g and -8/7.
7
Let v(f) = f + 11. Let j be v(-13). Find the common denominator of -51/2 and ((-207)/6 - j)/(-8).
16
Let j(w) = -7*w**3 - 2*w**2 - w. Suppose -1 - 1 = 2*f. Calculate the lowest common multiple of j(f) and 12.
12
Suppose 5*p - 12 = p. Suppose 5*w + 0*x - 94 = 2*x, p*w = -x + 52. Suppose 2*z + n - 49 = 0, z = 2*z + 4*n - 42. What is the least common multiple of w and z?
198
Let b = 12793/7 - 1836. What is the common denominator of -19/7 and b?
7
Suppose 0 = 3*x + 4*v - 5, 0 = 2*x - 2*v - 0 - 8. Suppose 9 = -3*i, -5*i - x = 3*o - i. Suppose -p = -o - 5. What is the smallest common multiple of 16 and p?
16
Suppose -y = -32 + 5. Calculate the least common multiple of y and 21.
189
Let l = -53/10 + -91/5. Calculate the common denominator of l and 501/(-228) + 1/(-4).
38
Calculate the common denominator of -15/118 and (19/14 - 0)/((-8)/(-8)).
826
Let z(n) be the second derivative of -n**4/12 + 5*n**3/6 + 6*n**2 + 3*n. Let y = -1 + 3. Calculate the lowest common multiple of y and z(6).
6
What is the common denominator of 2/12*(-63)/(-5) and -3 + 3 + (-60)/9?
30
Let h be ((-3)/6)/((-4)/(-8)). What is the common denominator of h/3 + (-6103)/510 and -17/18?
90
Suppose 3*w = 6*w - 276. Let n = w + -150. What is the common denominator of n/(-28) - (-1 + 1) and -35/12?
84
Calculate the common denominator of (-5)/(35/(-12)) - -4 and -21/11.
77
Suppose -30 + 82 = 5*x + 3*s, -5*s + 50 = 5*x. Calculate the least common multiple of 4 and x.
44
Let f be (-2)/16 - (-452)/32. Suppose 3*o - 2*w + f = 5*o, 0 = 4*o - w - 23. Let c = 13 + -9. What is the smallest common multiple of o and c?
12
Let u = -828 - -8359/10. Let z = 945/2 - 488. Find the common denominator of u and z.
10
Let q(m) = -m. Let i(h) = h**3 + 6*h**2 + 3*h - 7. Let a be i(-5). Let z be q(a). Calculate the common denominator of z/15 + (-258)/160 and 13/18.
144
Let t = 847 - 4975/6. Calculate the common denominator of 67/55 and t.
330
Let a = 16 + -10. Calculate the lowest common multiple of 4 and a.
12
Let w = 2841/8060 + -1/403. Calculate the common denominator of -6 and w.
20
What is the common denominator of 408/(-16)*(-2)/(-7) and -23/20?
140
Let q be (-1783211)/(-66) - 4/6. Let k = q - 27013. Find the common denominator of k and -69/10.
110
Suppose 0*o + o + 4*r = 4, -2*o + 3*r = -8. Suppose z - 22 = -z + o*f, z + 3 = -5*f. What is the smallest common multiple of 5 and z?
35
Let i = -130 - 118. Let v = 0 + -2. Calculate the common denominator of (i/(-14))/v + 1 and -13/11.
77
Suppose q - 3*z = 27, -4*q + z = -0*z - 53. Calculate the common denominator of (90/50)/((-22)/5) and (2 + 47)*2/q.
66
Let c(r) = -27*r**2 + 2*r - 1. Let x be c(1). Let f = -18 - x. Calculate the smallest common multiple of ((-18)/(-15))/((-6)/(-80)) and f.
16
Let h = 4 + -2. Suppose -h*b = b. Suppose b*s = -4*s + 16. What is the smallest common multiple of 4 and s?
4
Suppose 9*v + 15 = 4*v. What is the smallest common multiple of 10 and (-1 - 9)*v/5?
30
Suppose h + 3*l + 14 = 0, 0 = -3*h + 3*l - 11 - 7. What is the common denominator of 79/8 and (-2)/h + (-186)/(-16)?
8
Let l = -2957167/2180 - 3/2180. Let j = l + 1391. What is the common denominator of 2 and j?
2
What is the least common multiple of 18 and ((-60)/(-45))/((-2)/(-3))?
18
Calculate the smallest common multiple of (-124)/(-16) + (-1)/(-4) and 16.
16
Suppose -3*q - 42 = -3*r, -5*r + 42 = -0*q + 2*q. What is the lowest common multiple of r and 22?
110
Let k = 1 + -3. Calculate the common denominator of (-250)/252 - k/(-7) and 34/(-18)*14/(-4).
18
Let u = 26979 + -135392/5. Let r = u + 98. Find the common denominator of 21/8 and r.
40
Suppose 0 = 4*a - 12, 8*a - 60 = -5*b + 3*a. Suppose -9*k + 7*k + 6 = 0. What is the common denominator of -49/4 and (-3)/k - (-37)/b?
36
Let p = -1095 - -26267/24. Find the common denominator of p and 23/18.
72
Let a = -17 + 25. Calculate the lowest common multiple of (1/(-1))/(1/(-2)) and a.
8
Calculate the common denominator of (38/20)/1 - 3 and 18/17.
170
Let b = 3 - -4. Suppose -2*g = -0*q - q - 13, -5*g - 3*q = -27. Suppose -3*p = -g*p + 3. What is the least common multiple of b and p?
7
Let t(n) = -n - 2. Let w be t(-7). Suppose 0 = -r - 4*r - w, -16 = -5*i - 4*r. Let u = 3 - -3. What is the smallest common multiple of i and u?
12
Let w(v) = -2*v + 1. Let f be w(-2). Let h = 8 - f. Let s = -62 + 68. What is the smallest common multiple of h and s?
6
Let m(z) = -z**2 + 4. Calculate the smallest common multiple of 8 and m(0).
8
What is the common denominator of -51/64 and 3/2*59/6?
64
Calculate the common denominator of (690/775)/((-12)/15) and 93/4.
124
Let d be ((-6)/4)/((-6)/10315328). Let n be ((-2)/16)/(31940/d). Let b = n + -12/1597. Calculate the common denominator of b and -81/22.
110
Suppose -4*g + 10 = -10. What is the common denominator of (-1635)/36*(-2)/g and -30/7?
42
Let f = 32 + -30. Suppose 2*t - t - 6 = 0. Calculate the smallest common multiple of t and f.
6
Let u = 220575/22 - 10028. What is the common denominator of u and -109/6?
66
Let s(o) = -o**2 + 9*o + 4. Let y be 6/(-2) - (2 - -7). Let q = y + 20. Calculate the smallest common multiple of q and s(8).
24
Suppose 0 = 3*k - 59 - 58. Let q = k - 27. What is the least common multiple of q and 4?
12
Let q = 226 - 580. Let j be 4 + (6835/(-4))/(-5). Let k = q + j. What is the common denominator of -59/22 and k?
44
Suppose -2*q = -292 - 690. Let t = 1013/2 - q. What is the common denominator of t and -69/2?
2
Let d = 101981/25904 - -1/1619. What is the common denominator of d and -9/8?
16
Calculate the common denominator of -37/20 and 2 - (4/22 - 0).
220
Let l(x) = x**3 + 10*x**2 + 9. Let y be l(-10). Let a = y + -6. What is the lowest common multiple of a and 6?
6
Suppose 11 = 4*g - 9. Let w(i) = 2*i - 7. Suppose 10 = 2*d - 8. Calculate the smallest common multiple of w(g) and d.
9
Suppose 5*t = 3*x + 30 + 247, 5*t + x = 281. Suppose -4 = -2*j - 12, 0 = -4*y + j + 16. Sup