(v) be the first derivative of -2*v + 1/30*v**4 - 1/15*v**3 + 1/50*v**5 + 1 - 1/5*v**2. Let r(x) be the first derivative of d(x). Factor r(y).
2*(y - 1)*(y + 1)**2/5
Let s(o) be the third derivative of -o**6/960 + o**5/120 + 7*o**2. Factor s(u).
-u**2*(u - 4)/8
Factor 0 + 2/11*g**3 + 0*g - 4/11*g**2.
2*g**2*(g - 2)/11
Let x(r) = -r - 3. Let s be x(-9). Suppose -40 = -5*z - t + s*t, t + 20 = 4*z. Factor -2*m + 3*m + 9*m**3 - 5*m**2 - m**3 - 4*m**z.
-m*(m - 1)*(2*m - 1)**2
Let -1/3*o + 0 + 1/3*o**2 = 0. Calculate o.
0, 1
Factor 9/4*v - 3/8*v**2 - 27/8.
-3*(v - 3)**2/8
Let j = -6007 + 78165/13. Determine t so that 0 + 60/13*t**4 - j*t**3 - 18/13*t**5 + 40/13*t**2 - 8/13*t = 0.
0, 2/3, 1
Let u be -7 - (2000/56)/(-5). Find p, given that -3/7*p + 2/7 + u*p**2 = 0.
1, 2
Let j(r) be the second derivative of 10*r + 1/3*r**4 + 4/3*r**3 + 0 + 2*r**2. Factor j(b).
4*(b + 1)**2
Suppose -5*b + 10 = 4*h, 2*h - 3*h + 9 = -2*b. Let l = h - 2. Let 8 + 3*c**2 + l*c**2 - 4*c + c**3 + 16*c = 0. Calculate c.
-2
Let n(b) be the second derivative of -17*b**4/24 - 3*b**3/2 - b**2/4 - 24*b. Factor n(s).
-(s + 1)*(17*s + 1)/2
Let y(m) be the third derivative of -2*m**7/105 + m**6/30 + m**5/5 - 5*m**4/6 + 4*m**3/3 + 20*m**2. Factor y(o).
-4*(o - 1)**3*(o + 2)
Suppose -5*c + 5 = 0, 5*j - 3*c - 6 = c. Let x = -9 + 11. Suppose -11 + j + 1 - 3*u**x - 18*u - 19 = 0. What is u?
-3
Let t be (0 - 3) + 5 + (-3)/9. Let w(y) be the first derivative of -5/2*y**4 + 0*y + 4/5*y**5 + 0*y**2 - 4/3*y**3 + t*y**6 + 4. What is z in w(z) = 0?
-1, -2/5, 0, 1
Suppose -4*i + 6*f + 16 = 2*f, i + f - 8 = 0. Suppose 2*z = 5*z - 18. Factor -z + i + c - c**2.
-c*(c - 1)
Let k(b) = -b**2 + 6 + 0*b**2 - 9*b + 17*b. Let a(l) = -l**2 + 7*l + 5. Let x(d) = -6*a(d) + 5*k(d). Let x(s) = 0. Calculate s.
0, 2
Suppose 2*q**2 - 1/3*q**3 - 3*q + 0 = 0. Calculate q.
0, 3
Let x be 3*(-1)/(-3 - -2). Let f(u) be the third derivative of 0 + 2*u**2 + 9/100*u**5 + 0*u + 3/40*u**4 + 9/200*u**6 + 1/30*u**x. Factor f(j).
(3*j + 1)**3/5
Let n(j) be the third derivative of -j**7/315 - j**6/360 + j**5/90 + j**4/72 - 12*j**2. Factor n(r).
-r*(r - 1)*(r + 1)*(2*r + 1)/3
Let j(r) be the third derivative of r**6/540 - 2*r**5/135 + 5*r**4/108 - 2*r**3/27 + 5*r**2. Determine g so that j(g) = 0.
1, 2
Let y(u) = u**3 + 9*u**2 - u - 7. Let w be y(-9). Suppose 3*s - 12 = -4*m, 0 = -5*s + 3*m + 2 - 11. Factor -3*n + s + n - 4 + 4*n**2 - w*n**2.
2*(n - 2)*(n + 1)
Suppose -j = j - 3*j. Factor 0 - 2/9*q**4 + 0*q**3 + 0*q**2 + j*q.
-2*q**4/9
Let u(c) = -3*c + 0*c**3 + c**3 + 0*c**3 - 2*c**2 + 2. Let i be u(3). Solve -2/3 + 2/3*j**5 + 4/3*j**3 + i*j**4 - 4/3*j**2 - 2*j = 0.
-1, 1
Let j = -2/403 + 463/12090. Let t(o) be the second derivative of -2/15*o**3 + j*o**4 + o + 0 + 0*o**2. Find r such that t(r) = 0.
0, 2
Let g(j) = -18*j**3 - 9*j**2 + 6*j + 9. Let r(v) = -v**3 - v**2 + 1. Let p(i) = -g(i) + 12*r(i). Find q such that p(q) = 0.
-1, 1/2, 1
Let s(m) be the third derivative of m**7/735 - m**6/210 + m**4/42 - m**3/21 - 6*m**2. Factor s(a).
2*(a - 1)**3*(a + 1)/7
Determine i so that 13*i**2 + 13*i**2 - 28*i**2 + 13*i**3 - 11*i**4 = 0.
0, 2/11, 1
Let c(l) be the first derivative of 2*l**5/55 - l**4/11 + 2*l**2/11 - 2*l/11 - 9. Find w, given that c(w) = 0.
-1, 1
Let i(q) be the first derivative of 6*q + 2*q**3 + 3 - 15/2*q**2. Let i(t) = 0. What is t?
1/2, 2
Let f(i) = -i**2 - 14*i + 122. Let k be f(6). Let 0*n + 3/2*n**5 + 3*n**k - 3*n**4 + 0 - 3/2*n**3 = 0. Calculate n.
-1, 0, 1, 2
Factor -32/5*t**3 + 4/5 + 48/5*t**2 + 6*t.
-2*(t - 2)*(4*t + 1)**2/5
Let s = 47 - 140/3. Suppose 3 - 16 = -3*i + 2*o, -o = -i + 5. Find r, given that -1/3*r + 1/3*r**4 - s*r**2 + 1/3*r**i + 0 = 0.
-1, 0, 1
Let s(q) be the second derivative of q**8/5040 + q**7/2520 - q**6/1080 - q**5/360 + q**3/3 + 4*q. Let j(l) be the second derivative of s(l). Factor j(u).
u*(u - 1)*(u + 1)**2/3
Let a(q) be the second derivative of 3/14*q**2 - 6*q + 1/7*q**3 + 0 + 1/28*q**4. Factor a(o).
3*(o + 1)**2/7
Let l(x) = 11*x**2 - 23*x - 17. Let b = 5 - 11. Let y(h) = 4*h**2 - 8*h - 6. Let q(s) = b*l(s) + 17*y(s). Factor q(c).
2*c*(c + 1)
Suppose -3*x = -5*x - 30. Let k be (-66)/x - (-4)/(-10). Factor 6 - 6 + 2*z**3 - 2*z**k.
-2*z**3*(z - 1)
Let f = 6 - 17. Let p(w) = -5*w**3 - 3*w**2 + 8*w. Let t(o) = 15*o - 5*o**2 + 0 - 10*o**3 + 0. Let x(q) = f*p(q) + 6*t(q). Factor x(z).
-z*(z - 1)*(5*z + 2)
Let o = -10607/11 + 965. What is v in 4/11 + o*v**3 + 18/11*v + 24/11*v**2 = 0?
-2, -1/2
Suppose 5*t - 49 = 1. Suppose -2*i + t = 4*v - 16, 0 = -4*i - 3*v + 37. Determine n, given that i + 3*n**2 + 4 + 0 + 12*n + 1 = 0.
-2
Let o(y) be the third derivative of y**6/1440 + y**5/120 + y**4/24 - y**3/6 - y**2. Let x(n) be the first derivative of o(n). Factor x(f).
(f + 2)**2/4
Let p(a) be the second derivative of a**6/105 + 3*a**5/35 + 2*a**4/7 + 10*a**3/21 + 3*a**2/7 - 23*a. What is o in p(o) = 0?
-3, -1
Let j(r) = -r + 1. Let o be j(-2). Let k(d) be the third derivative of 0*d - 1/180*d**5 + d**2 + 0 + 0*d**o + 0*d**4. Factor k(q).
-q**2/3
Suppose -8/5 - 2/5*o**3 + 8/5*o**2 + 2/5*o = 0. Calculate o.
-1, 1, 4
Let -5/2*r + 0 - 1/2*r**2 = 0. What is r?
-5, 0
Let j(z) = -z - 1. Let i be j(-4). Factor 0 - 2*k**i + 2 - 2 + k**2 - k**4 + 2*k**5.
k**2*(k - 1)*(k + 1)*(2*k - 1)
Let q(s) be the third derivative of -s**6/80 - 3*s**5/40 + s**4/4 + 25*s**2. Let q(p) = 0. What is p?
-4, 0, 1
Let l be 0 + 0/(-4) + 8. What is r in 12*r**5 + l*r**4 - 15*r**3 + 352*r - 349*r + r**4 - 9*r**2 = 0?
-1, 0, 1/4, 1
Factor o**3 + 2*o**3 - 7*o**3 - o + 10*o**2 - 3*o.
-2*o*(o - 2)*(2*o - 1)
Suppose -f**2 + 4/3 - 4/3*f + 2/3*f**3 + 1/3*f**4 = 0. What is f?
-2, 1
Let r be (-15)/10*(-4)/3. What is f in 3*f**3 + 0*f - f - 9*f**r + 8*f - f = 0?
0, 1, 2
Let v(g) be the second derivative of -g**6/75 - g**5/30 - g**4/90 + g**3/45 + 12*g. Factor v(t).
-2*t*(t + 1)**2*(3*t - 1)/15
Let w(q) be the second derivative of 7/6*q**7 + 109/20*q**5 + 0 + 0*q**2 + 21/5*q**6 + 2/3*q**3 + 3*q**4 - 2*q. Determine l, given that w(l) = 0.
-1, -2/7, 0
Let v(q) be the second derivative of 3*q**5/40 + q**4/2 + 5*q**3/4 + 3*q**2/2 + 7*q. Factor v(x).
3*(x + 1)**2*(x + 2)/2
Let f(w) be the first derivative of 1/2*w**4 + 0*w + 1 + 0*w**5 + 0*w**3 - 1/2*w**2 - 1/6*w**6. Factor f(m).
-m*(m - 1)**2*(m + 1)**2
Let 2/7*g - 2/7*g**3 - 2/7*g**2 + 2/7 = 0. What is g?
-1, 1
Suppose 3 = 5*t + 8, 0 = -5*v + 3*t + 18. Determine z so that -2*z**v - 59*z**5 + 3*z + 1 - 5*z**2 + 58*z**5 - 3*z**4 + 5*z**2 + 2*z**2 = 0.
-1, 1
Suppose 16*v = 17*v. Let h(z) be the first derivative of v*z**2 - 1/15*z**3 - 2 + 1/5*z. Find a such that h(a) = 0.
-1, 1
Let r(f) be the third derivative of -f**5/390 + f**4/39 - 4*f**3/39 + 26*f**2. Determine i so that r(i) = 0.
2
Let n(b) = -6*b**2 + 2*b - 1. Let y(r) = -7*r**2 + 2*r - 1. Let k(u) = -6*n(u) + 5*y(u). Let k(v) = 0. Calculate v.
1
Let f(n) = n**2 + 5*n - 8. Let r(k) = -3*k**2 - 9*k + 17. Let w(j) = 5*f(j) + 2*r(j). Let w(p) = 0. What is p?
1, 6
Let d(p) = -3*p**2 + 16*p - 13. Let j(y) = -y**2 + 5*y - 4. Let b(m) = -6*d(m) + 21*j(m). Let b(s) = 0. Calculate s.
1, 2
Let t(l) = l + 15. Let v be t(0). Let i = 61/4 - v. Factor 1/4*c**2 - i*c**3 + 0 + 0*c.
-c**2*(c - 1)/4
Let a(b) = b**3 + 4. Let h be a(0). Let o(j) be the first derivative of 2/3*j**3 + h*j**2 - 1 + 8*j. What is t in o(t) = 0?
-2
Let t = 209 - 620/3. Let c(x) be the first derivative of 3/4*x**4 + t*x**3 + 0*x**2 + 2 - 4*x. Let c(p) = 0. Calculate p.
-2, -1, 2/3
Let p(j) = -9*j + 65. Let n be p(7). What is q in 3 + 3/4*q**n - 3*q = 0?
2
Find t, given that 83*t**3 - 4 - 81*t**3 - 6*t + 0 = 0.
-1, 2
Let k(z) = -1 - 5*z + 0*z**2 + 2*z**2 - 3*z**2. Let b be k(-4). Determine r, given that -r**5 + r**2 + 3*r**4 - 15*r - b*r**3 + 15*r = 0.
0, 1
Let l be (-1942)/300 + 7 - (-2)/(-4). Let v(t) be the third derivative of 0*t + 0 + 1/12*t**4 - 2*t**2 + l*t**5 + 1/300*t**6 + 2/15*t**3. Factor v(y).
2*(y + 1)**2*(y + 2)/5
Let y(i) = 2*i + 31. Let b be (1 - (-76)/(-20))*5. Let s be y(b). Factor 1/2*q**s + q**2 + 0 + 1/2*q.
q*(q + 1)**2/2
Let m(u) be the first derivative of -2/7*u + 3 + 1/7*u**2 + 10/21*u**3 + 3/14*u**4. Factor m(p).
2*(p + 1)**2*(3*p - 1)/7
Suppose -5*g + 2*g + 15 = 0. Let f(h) = -3*h**3 + 40*h**2 - 69*h + 32. Let r(u) = -2*u**3 + 20*u**2 - 34*u + 16. Let j(n) = 