= -r**3 + 2*r**2 + 2. Let a be g(0). Factor -2/3*w + 0 - 2/3*w**a.
-2*w*(w + 1)/3
Let q be 6/27 - (-19)/36. Let c be 1/(-6)*3/(-2). Factor c*w**3 + 3/4*w - q*w**2 - 1/4.
(w - 1)**3/4
Let v = 25 - 13. Suppose 12 = 3*j - 2*j + 5*u, -2*u + v = 4*j. Factor -4 + 3 + z**4 + j*z - 2*z**3 + 0*z**3.
(z - 1)**3*(z + 1)
Let c(f) be the first derivative of 5*f**3/3 + 5*f**2 + 5*f - 7. Factor c(q).
5*(q + 1)**2
Factor -54/5*b**2 + 0 + 54/5*b - 2/5*b**4 + 18/5*b**3.
-2*b*(b - 3)**3/5
Let s be 4/5 + 60/(-150). Factor 0 + 0*c - 2/5*c**3 - s*c**2.
-2*c**2*(c + 1)/5
Let u be 3*(-6)/63 - 51/(-105). Determine l, given that 0 - 2/5*l**2 - 1/5*l**3 - u*l = 0.
-1, 0
Let a(y) = 5 + y + 11*y**2 - 6*y**4 + 3*y + y. Let j(o) = 9*o**4 - 16*o**2 - 7*o - 7. Let i(n) = 7*a(n) + 5*j(n). Find s, given that i(s) = 0.
-1, 0, 1
Let n(c) = -2*c**3 - 41*c**2 + 20*c - 21. Let g be n(-21). Find t, given that -3/4*t**2 + 0*t**3 + 9/4*t**4 + g + 0*t + 3/2*t**5 = 0.
-1, 0, 1/2
Let k(s) be the second derivative of 1/80*s**5 - 1/48*s**4 - 1/24*s**3 + 0 + 1/120*s**6 + s + 0*s**2. Determine y, given that k(y) = 0.
-1, 0, 1
Let y be (-3 - -5 - 6)/1. Let x(t) = -t**3 - 5*t**2 - 4*t. Let h be x(y). Let 0*a**3 + h*a + 2/7 + 2/7*a**4 - 4/7*a**2 = 0. Calculate a.
-1, 1
Let y be 2/(-8)*(-1 - (-1 - -1)). What is d in 1/4*d**2 + 0 + y*d**3 - 1/4*d - 1/4*d**4 = 0?
-1, 0, 1
Let h be 2*18/(-63)*7/(-18). Factor 2/9 - h*v**2 + 2/9*v**3 - 2/9*v.
2*(v - 1)**2*(v + 1)/9
Let l = 5 + 0. Suppose l*m + 121 = 4*u, u + 4*m + 68 = 3*u. Solve 4*h**3 + 6*h**2 + 6*h**3 + 0 - u*h + 8 = 0 for h.
-2, 2/5, 1
Let x(b) be the first derivative of 2*b**6/3 + 16*b**5/5 + 4*b**4 - 8*b**3/3 - 10*b**2 - 8*b + 3. Factor x(w).
4*(w - 1)*(w + 1)**3*(w + 2)
Let j = -93 + 52. Let g = j - -125/3. Solve 0*p**3 + 0 + 2/3*p**2 + 0*p - g*p**4 = 0 for p.
-1, 0, 1
Let j(c) = 2*c + 3. Let d be j(-3). Let l be (-1 + d + 3)*-3. Find w, given that -1/3*w**l + 0*w + 0 + 0*w**2 - 2/3*w**4 = 0.
-1/2, 0
Let m(t) be the second derivative of -t**6/90 - t**5/60 + t**4/36 + t**3/18 + 5*t. Factor m(l).
-l*(l - 1)*(l + 1)**2/3
Let g(v) be the first derivative of 121*v**4/4 - 44*v**3/3 + 2*v**2 - 4. Find r such that g(r) = 0.
0, 2/11
Let q(l) be the first derivative of -l**4/6 + 2*l**3/3 - l**2 - 2*l + 2. Let o(x) be the first derivative of q(x). Suppose o(y) = 0. What is y?
1
Let t be (-2)/6 - 28/(-12). Let 2*y**t - 2*y**2 + 2*y**3 = 0. Calculate y.
0
Let v(o) = -8*o**2 + 41*o - 1. Let h be v(5). What is n in 0 - 1/2*n**3 - 3/2*n**2 - 1/2*n**5 + 3/2*n**h + n = 0?
-1, 0, 1, 2
Let u(m) be the third derivative of -m**8/1428 - 3*m**7/595 - m**6/68 - 11*m**5/510 - m**4/68 + 19*m**2. Find y, given that u(y) = 0.
-3/2, -1, 0
Let s(x) be the first derivative of x**3/9 + 5*x**2/3 + 9. Factor s(b).
b*(b + 10)/3
Let a(n) be the first derivative of 0*n + 1/5*n**4 + 0*n**2 + 1/25*n**5 + 4/15*n**3 + 1. Factor a(u).
u**2*(u + 2)**2/5
Let u(v) be the third derivative of v**6/120 - v**5/12 + v**4/3 - 2*v**3/3 + 22*v**2. What is k in u(k) = 0?
1, 2
Suppose 31*o - 32*o = -3. Let -2/5*p**4 + 0 + 2/5*p + 6/5*p**o - 6/5*p**2 = 0. Calculate p.
0, 1
Let l(j) = j**3 - 12*j**2 - 13*j + 4. Let n be l(13). Determine m so that 5/2*m**2 - m - 2*m**3 + 0 + 1/2*m**n = 0.
0, 1, 2
Let g(h) = h**2. Let f be g(-2). Factor 4*p**3 + 6*p**5 - f*p**4 - 4*p**5 - 2*p**3.
2*p**3*(p - 1)**2
Let t be ((-512)/84 - -6)*-96. Let m = 2 - 2. Factor -t*z**3 - 14*z**5 + 0 - 8/7*z**2 + m*z - 22*z**4.
-2*z**2*(z + 1)*(7*z + 2)**2/7
Let q(b) be the first derivative of b**5/40 + b**4/12 + b**3/12 - 3*b + 1. Let m(o) be the first derivative of q(o). Factor m(w).
w*(w + 1)**2/2
Factor -2/13*d - 2/13 + 2/13*d**3 + 2/13*d**2.
2*(d - 1)*(d + 1)**2/13
Let y(v) be the second derivative of 7*v**5/10 - 5*v**4/6 - 16*v**3/3 - 4*v**2 + 31*v. Factor y(k).
2*(k - 2)*(k + 1)*(7*k + 2)
Let l be 4 - 2*1/2. Find v, given that -7*v**2 - 7*v**4 - 3 - v**3 - 4*v**l + 16*v**2 + 5*v + 1 = 0.
-1, 2/7, 1
Let m(z) be the second derivative of 0 + 4/3*z**3 + 1/2*z**5 - 4/3*z**4 - 9*z + 0*z**2 - 1/15*z**6. What is y in m(y) = 0?
0, 1, 2
Let q be 26/(-117) + 76/18. Let d = 25 - 15. What is v in d*v**2 + 8*v - 14*v**2 - q*v + v**3 = 0?
0, 2
Let s(y) be the first derivative of -y**7/525 + y**6/150 - y**5/150 - 3*y**2/2 - 2. Let z(i) be the second derivative of s(i). Solve z(o) = 0.
0, 1
Let y be ((-6)/60)/((-2)/36). Factor -y*t**2 + 6/5*t + 0 + 3/5*t**3.
3*t*(t - 2)*(t - 1)/5
Suppose -3*y = -10*y. Let m(s) be the third derivative of 0*s - 1/1008*s**8 + 1/210*s**7 + 0 + 2*s**2 + 0*s**3 + 1/180*s**5 - 1/120*s**6 + y*s**4. Factor m(h).
-h**2*(h - 1)**3/3
Suppose -10 = -4*p - p. Let r = -2 + p. What is q in -2/5*q**2 + 0*q - 2/5*q**3 + r = 0?
-1, 0
Let o = -3/103 - -139/1236. Let v(i) be the third derivative of -2/3*i**3 + 0 + 1/12*i**6 + 4/15*i**5 + 5*i**2 + o*i**4 + 0*i. Let v(k) = 0. What is k?
-1, 2/5
Let m(s) be the first derivative of 1/18*s**6 + 2/9*s**3 + 1 - 1/3*s - 1/15*s**5 - 1/6*s**4 + 1/6*s**2. Determine v so that m(v) = 0.
-1, 1
Let s be (-3)/(-6)*0 + (-4)/(-12). Let -1/3*l**2 - s*l + 2/3 = 0. What is l?
-2, 1
Let t be 1/(-5) - (-2 + 1). Suppose b - 2 = -0. Determine i so that -4/5*i + 0 + t*i**3 - 2*i**4 + 2*i**b = 0.
-1, 0, 2/5, 1
Let t(s) = 3*s**5 - 6*s**4 + 3*s**3 + 9*s**2 - 9*s - 3. Let u(j) = 6*j**5 - 13*j**4 + 6*j**3 + 18*j**2 - 17*j - 5. Let f(h) = -5*t(h) + 3*u(h). Factor f(x).
3*x*(x - 2)*(x - 1)**2*(x + 1)
Let b(o) be the third derivative of -o**7/280 - o**6/60 - o**5/40 + 5*o**3/6 + 6*o**2. Let i(q) be the first derivative of b(q). Factor i(s).
-3*s*(s + 1)**2
Let i(b) = b**3 + 4*b**2 - 19*b + 6. Let a(u) = 10*u**3 + 35*u**2 - 170*u + 55. Let c(h) = -4*a(h) + 35*i(h). Let c(q) = 0. What is q?
-2, 1
Suppose 9*u = -8*u + 85. Let k(a) be the second derivative of 1/84*a**7 + 0*a**3 + 0*a**2 - 1/24*a**4 + 0 + 3/40*a**u - 1/20*a**6 - 3*a. Factor k(b).
b**2*(b - 1)**3/2
Let o(t) be the first derivative of -4*t**3/3 - 16*t**2 - 48*t - 48. What is s in o(s) = 0?
-6, -2
Let q(o) be the first derivative of o**9/6048 - o**7/1680 - o**3 - 4. Let u(m) be the third derivative of q(m). Solve u(d) = 0 for d.
-1, 0, 1
Let k = 1 + 1. Factor -m**2 + m**3 + m**3 - 3*m**2 + 6*m**2 - k - 2*m.
2*(m - 1)*(m + 1)**2
Let p(k) = -2*k**3 - 5*k**2 - 11*k - 3. Let w(y) = -2*y**3 - 4*y**2 - 12*y - 4. Suppose 3*m - 5*m = 6. Let v(l) = m*w(l) + 4*p(l). Factor v(j).
-2*j*(j + 2)**2
Let m(k) = -k**2 + 14*k + 8. Let d be m(14). Determine n, given that 138/11*n**2 + 338/11*n**4 + d*n - 52*n**3 + 8/11 = 0.
-2/13, 1
Let m(q) = q**2 + 8*q + 8. Let g be m(-6). Let z = g - -7. Factor -4 + 3 - 2*x + 2*x**2 - z.
2*(x - 2)*(x + 1)
Let q(w) = 3*w - 13. Let l be q(5). Factor 0*t**l - 1/3*t**4 + 0 + 2/3*t**3 + 0*t.
-t**3*(t - 2)/3
Let m(f) be the second derivative of f**6/20 + 3*f**5/40 + 12*f. Find j, given that m(j) = 0.
-1, 0
Solve -2/3*a**2 + 0 - 2/3*a**4 + 4/3*a**3 + 0*a = 0 for a.
0, 1
Let h = 181 - 179. Solve -3/5*o**h + 0 - 3/5*o = 0 for o.
-1, 0
Suppose -15*t + 30 = -9*t. Let a(k) be the first derivative of -13/5*k**t - 7/3*k**3 + 1/2*k**2 + 2 + 15/4*k**4 + 2/3*k**6 + 0*k. Factor a(v).
v*(v - 1)**3*(4*v - 1)
Let v = -3 - -6. Let b(s) be the third derivative of 1/210*s**5 + 0*s + 0*s**v + 1/84*s**4 + 0 + s**2. Let b(k) = 0. What is k?
-1, 0
Let p(y) be the first derivative of y**7/105 - y**6/15 + y**5/6 - y**4/6 - y**2/2 + 1. Let c(o) be the second derivative of p(o). Factor c(f).
2*f*(f - 2)*(f - 1)**2
Determine x, given that 20*x + 3*x**2 - 45*x - 5*x**2 - 3*x**2 = 0.
-5, 0
Let k(j) be the third derivative of 2*j**7/105 + j**6/30 - j**5/5 - 5*j**4/6 - 4*j**3/3 + 9*j**2. Find z, given that k(z) = 0.
-1, 2
Let k(x) be the third derivative of -x**6/120 - x**5/60 + x**4/24 + x**3/6 + x**2. Factor k(w).
-(w - 1)*(w + 1)**2
Let u(z) = -6*z**5 - 23*z**4 - 11*z**3 + 6*z**2 + 17. Let j(v) = -2*v**5 - 8*v**4 - 4*v**3 + 2*v**2 + 6. Let t(a) = 17*j(a) - 6*u(a). Solve t(h) = 0.
-1, 0, 1
Let p be 3 + -4 + -2 + 18. Suppose -5*l - 5 = -p. Suppose 6*z**3 + 3 - 1 - 6*z + l - 1 - 3*z**4 = 0. Calculate z.
-1, 1
Suppose 4*c = 3*f - 17 - 18, 3*c = -3*f. Let k(s) = -s**3 + 6*s**2 - 3*s - 7. Let v be k(f). Factor v*t**2 - 3*t - 3 + 4*t - t.
3*(t - 1)*(t + 1)
Let l(a) be the third derivative of 4*a**5/25 - a**4/5 + a**3/10 - 24*a**2. Factor l(p).
3*(4*p - 1)**2/5
Let x(a) be