*s**6 + 0 + 0*s**3 - 16*s**2 + 0*s + 1/10*s**5 + 1/8*s**4. Let g(z) = 0. Calculate z.
-1, 0
Let i(y) be the first derivative of -2*y**4/9 + 14*y**3/27 - 182. Factor i(c).
-2*c**2*(4*c - 7)/9
Let x = 259 + -258. Suppose -a + o - x = -2*o, -a - 2 = -4*o. Determine d so that 0 + 2/9*d**5 + 0*d**a + 2/9*d + 0*d**4 - 4/9*d**3 = 0.
-1, 0, 1
Let a be 12/(-42) - 2348/14. Let k be ((1 - 2) + 4)/(a/(-368)). Factor 40/7*n - k*n**2 - 8/7 + 2*n**3.
2*(n - 2)*(n - 1)*(7*n - 2)/7
Find t such that -t + 0 - 1/6*t**3 + 5/6*t**2 = 0.
0, 2, 3
Let f(q) be the third derivative of q**7/2520 - q**6/216 + q**5/45 - q**4/18 - 4*q**3/3 - 26*q**2. Let g(t) be the first derivative of f(t). Factor g(i).
(i - 2)**2*(i - 1)/3
Let o(y) be the first derivative of 0*y**3 + 0*y + 1/12*y**4 - 9 + 0*y**2. Factor o(c).
c**3/3
Let j(l) be the first derivative of l**3/3 + 53*l**2/2 + 52*l - 55. Factor j(r).
(r + 1)*(r + 52)
Let v(p) be the third derivative of p**7/840 - p**6/60 + 13*p**5/240 - p**4/16 + 32*p**2. Factor v(m).
m*(m - 6)*(m - 1)**2/4
Let x(o) = o - 1. Let z(a) = 6*a - 64. Let c be z(11). Suppose -4*r + 2 = -2. Let f(u) = u**2 + 6*u + 18. Let m(b) = c*x(b) + r*f(b). Factor m(w).
(w + 4)**2
Factor 0 - 1/6*t**3 - 4/3*t**2 - 8/3*t.
-t*(t + 4)**2/6
Factor -55 + 325*v**2 + 199 + 173*v**2 - 100*v**3 + 322*v**2 - 29*v + 733*v.
-4*(v - 9)*(5*v + 2)**2
Let y(c) = c**5 + c**4 - c**2 + c. Let x(k) = -6*k**5 - 6*k**4 + 6*k**3 + 3*k**2 - 10*k + 3. Let j(z) = 2*x(z) + 10*y(z). Factor j(i).
-2*(i - 1)**3*(i + 1)*(i + 3)
Let n(i) = 2*i - 6. Let r be n(9). Factor -13*l - 24 - r*l + 5*l - 2*l**2 + 6*l**2.
4*(l - 6)*(l + 1)
Let j be (-4 - -1) + 1 + -13 + 18. Determine t, given that 4/3*t**2 + 8/3*t**j - 4/3*t**4 - 8/3*t + 0 = 0.
-1, 0, 1, 2
Let x(s) be the third derivative of s**7/14 + 3*s**6/40 - 7*s**5/20 - 3*s**4/8 + s**3 - 53*s**2. Factor x(n).
3*(n - 1)*(n + 1)**2*(5*n - 2)
Let b be 120/(-210)*((-28)/(-10))/(-2). Factor -2/5*s**2 + 6/5 + b*s.
-2*(s - 3)*(s + 1)/5
Suppose 2*a - 22 = -s - 2*a, a = -2*s + 9. Factor 2/7*z**5 + 0*z + 4/7*z**s - 6/7*z**3 + 0*z**4 + 0.
2*z**2*(z - 1)**2*(z + 2)/7
Let r(x) be the first derivative of 1/2*x**2 + 6 - 1/6*x**3 + 3/2*x. Find u such that r(u) = 0.
-1, 3
Let q be (2/26)/((-3)/(-12)). Find j such that 0*j - q*j**2 + 0*j**3 + 2/13 + 2/13*j**4 = 0.
-1, 1
Let j(i) be the second derivative of -2209*i**7/98 - 47*i**6/35 - 3*i**5/140 - 34*i. Solve j(w) = 0.
-1/47, 0
Determine z, given that -1818 + 2*z**2 + 1740 - 33*z + z**2 = 0.
-2, 13
Suppose 2*o + 2*o = -5*r + 28, 3*r + 12 = 0. Let u be (o/(-18))/((-4)/18). Factor -9*s**3 + 3*s + 3*s**4 - 5*s**3 + 11*s**u - 3*s**2.
3*s*(s - 1)**2*(s + 1)
Determine x, given that -62*x + 11*x + 16*x**2 + 4 + 31*x + 0 = 0.
1/4, 1
Suppose 5*p - 2*p - 4*h = -1, 4*p + 33 = -h. Let w be 2 + 4 + -2 + 25/p. What is g in 0 + 3/7*g - w*g**2 = 0?
0, 1
Let p be 0 - (0/(8 + -3) + -4). Let o(t) be the third derivative of 7*t**2 + 0 + 0*t + 2/9*t**3 + 1/90*t**5 - 1/12*t**p. Let o(a) = 0. What is a?
1, 2
Let l be (-7)/210*-5 + 63/54. Factor 0 + 2/3*j**4 - 2/3*j**5 + 2*j**3 - 10/3*j**2 + l*j.
-2*j*(j - 1)**3*(j + 2)/3
Let i(m) be the third derivative of -1 + 0*m - 1/120*m**5 - 1/72*m**4 + 0*m**3 - 1/720*m**6 + 6*m**2. Factor i(u).
-u*(u + 1)*(u + 2)/6
Let r be (-2*1 - (-6)/(-3)) + -255. Let u = -1291/5 - r. Factor -u*m**2 + 0 - 1/5*m.
-m*(4*m + 1)/5
Let g = 23/297 + 1667/1485. Factor 1/5*u**3 + 11/5*u - g*u**2 - 6/5.
(u - 3)*(u - 2)*(u - 1)/5
Let z(t) be the first derivative of t**2/2 + 14*t + 4. Let i be z(-9). Factor 3*q**2 - 2*q + i*q + 0*q**2.
3*q*(q + 1)
Determine r, given that 6*r**2 - 9 + 2*r**4 - 2*r + 16 - 7 - 6*r**3 = 0.
0, 1
Let x(h) = -h**2 + 2*h + 199. Let w be x(0). Solve r + w + 5*r**2 - 98 + 619 + 119*r = 0 for r.
-12
Let s be -3*(-3)/((-84)/(-556)). Let u = s - 59. Factor -2/7*q**3 + 0 - 2/7*q - u*q**2.
-2*q*(q + 1)**2/7
Find w such that 10/13*w**4 - 4/13*w**3 - 2/13*w**5 + 0 + 0*w - 16/13*w**2 = 0.
-1, 0, 2, 4
Let l be ((-490)/40 + 12)*(-2944)/36. Suppose 32/9 + l*s**2 - 44/9*s**3 - 208/9*s = 0. Calculate s.
2/11, 2
Let f(u) = -12*u. Let q be f(-4). Suppose q = 5*o - o. Factor 0*m**3 + 26 - o*m**2 + 5*m**3 - 9*m**3 - 10.
-4*(m - 1)*(m + 2)**2
Let o = -171 + 181. Let t be (4/o)/((-16)/(-10))*18. Factor -3/2*k**4 - 3/2*k - t*k**3 - 9/2*k**2 + 0.
-3*k*(k + 1)**3/2
Let v(c) be the first derivative of 4*c**3/15 - 348*c**2/5 + 30276*c/5 - 196. Find d, given that v(d) = 0.
87
Let y = -3/11 - -20/33. Let l(w) be the third derivative of y*w**3 + 1/4*w**4 + 0 + 4*w**2 + 1/10*w**5 + 1/60*w**6 + 0*w. Let l(c) = 0. Calculate c.
-1
Let v(k) = -5*k**5 + 2*k**4 - 3*k**3 + 6*k**2 + 8*k - 8. Let f(s) = 2*s**5 - s**4 + s**3 - 2*s**2 - 3*s + 3. Let q(d) = -8*f(d) - 3*v(d). What is y in q(y) = 0?
-1, 0, 1, 2
Let l(q) be the third derivative of q**7/630 - q**6/120 + q**5/90 - 4*q**2 - 15*q. Determine r, given that l(r) = 0.
0, 1, 2
Let s(q) be the third derivative of -q**5/510 - 7*q**4/102 + 66*q**2 + q. Solve s(b) = 0.
-14, 0
Let o(h) = 6*h**2 - 6*h - 2. Let b = 15 + -10. Suppose 3*j = 2*j - b. Let s(d) = d**2 - d. Let q(p) = j*s(p) + o(p). Factor q(u).
(u - 2)*(u + 1)
Let d(r) be the third derivative of r**5/60 + 29*r**4/24 - 16*r**3 - 440*r**2. Suppose d(p) = 0. Calculate p.
-32, 3
Suppose 5*x - 15 = 2*x. Let d be (x - 6/2)/1. Factor 22*g**d - 4 + 5 + 5 + 3*g - 25*g**2.
-3*(g - 2)*(g + 1)
Let y(u) be the third derivative of -u**8/112 + 13*u**7/35 - 7*u**6/2 - 98*u**5/5 + 355*u**2. Determine w, given that y(w) = 0.
-2, 0, 14
Factor 0 + 4/7*b + 4/7*b**3 - 8/7*b**2.
4*b*(b - 1)**2/7
Let w(g) be the first derivative of 26 + 1/13*g**2 - 1/26*g**4 + 2/39*g**3 - 2/13*g. Factor w(q).
-2*(q - 1)**2*(q + 1)/13
Let 0*z**4 - 6/13*z + 4/13 - 4/13*z**2 - 2/13*z**5 + 8/13*z**3 = 0. What is z?
-2, -1, 1
Suppose -26*z = -42*z. Let i(v) be the second derivative of z*v**4 + 0 + 0*v**2 + 3*v + 0*v**3 - 1/120*v**5. Find o, given that i(o) = 0.
0
Let z(i) be the first derivative of -i**4/16 - i**3 - 6*i**2 - i + 12. Let o(y) be the first derivative of z(y). Factor o(b).
-3*(b + 4)**2/4
Let z(i) be the first derivative of -6 + 0*i**4 + 0*i**2 + 0*i + 0*i**5 + 2/3*i**3 - 1/1800*i**6. Let c(m) be the third derivative of z(m). Factor c(o).
-o**2/5
Let l = -57532/3 - -19178. Factor 8*i - l*i**2 - 24.
-2*(i - 6)**2/3
Suppose 0 + 21/8*j + 1/8*j**2 = 0. What is j?
-21, 0
Let x be (-72)/(-15) + -5 + 798/165 + -3. Factor 12/11*b - x - 2/11*b**2.
-2*(b - 3)**2/11
Let w(d) be the second derivative of d**7/6720 - d**6/384 + d**5/80 - 25*d**4/12 + 7*d. Let c(f) be the third derivative of w(f). Factor c(t).
3*(t - 4)*(t - 1)/8
Factor 2/23*i**2 - 102/23 - 28/23*i.
2*(i - 17)*(i + 3)/23
Suppose 0*c - 3*c - 4*t = 10, c + 3*t + 10 = 0. Factor -175*v**3 + 5*v**2 + v**c + 173*v**3 - 6*v + 2.
-2*(v - 1)**3
Let c = 1129 - 1125. Let u(r) = 16*r - 5. Let q(b) = -3*b + 1. Let s(x) = -11*q(x) - 2*u(x). Let o(n) = 3*n**2 - 4*n + 4. Let f(p) = c*s(p) + o(p). Factor f(y).
3*y**2
Let y be 5*-1*(-12 + 2 + -2). Let w = -117/2 + y. Factor 3/2*z + 9/4 - 2*z**2 - 1/4*z**4 - w*z**3.
-(z - 1)*(z + 1)*(z + 3)**2/4
Let c be 5/(-90)*(-135)/10. Let a(j) be the third derivative of 1/20*j**5 + 2*j**2 - c*j**4 + 0 + 0*j + 9/2*j**3. Factor a(y).
3*(y - 3)**2
Let x(k) = -k**2 + 6*k. Let w be x(7). Let f = w - -9. Factor -a**4 - 5*a**2 + a**4 + 2*a + a**3 + a**4 + f*a**3 - a**5.
-a*(a - 1)**3*(a + 2)
Let s be 12988/22920 + (-1)/(5/2). Factor 0*q + 0 + s*q**2.
q**2/6
Find u, given that 107*u**2 + 141*u**2 + 5*u**3 - 218*u**2 + 40*u = 0.
-4, -2, 0
Let k(t) = -2*t**2 - 7*t + 5. Let x be (-7 + -2)*6/9. Let g(w) = 2*w**2 + 8*w - 6. Let h(c) = x*k(c) - 5*g(c). Let h(o) = 0. Calculate o.
-1, 0
Let b(j) be the first derivative of j**4/4 + 4*j**3/3 + j**2 + 10*j + 61. Let x be b(-4). Let 2/11*t**3 - 8/11 + 6/11*t**x + 0*t = 0. What is t?
-2, 1
Let c(k) = -k - 6. Let m(s) = -s - 5. Let i(v) = 3*c(v) - 4*m(v). Let t be i(2). What is r in t*r - 4*r**2 - 18*r**4 - 26*r**4 - 36*r**3 - 16*r**5 + 0*r**3 = 0?
-1, 0, 1/4
Let o(c) be the third derivative of 5*c**6/192 + 199*c**5/96 + 49*c**4/12 + 13*c**3/4 - 31*c**2. Factor o(x).
(x + 39)*(5*x + 2)**2/8
Let z(c) be the second derivative of 15*c + 0*c**2 - 3/20*c**5 - 3/8*c**4 + 0 + 0*c**3. Factor z(p).
-3*p**2*(2*p + 3)/2
Let a(m) be the first derivative of 1/36*m**6 + 0