3 + 3/2*r**2 - 7/6*r + 1/3.
(r - 2)*(r - 1)**3/6
Let b(v) be the first derivative of -3*v**4/20 + 3*v**2/10 - 4. Determine q, given that b(q) = 0.
-1, 0, 1
Let t(a) = -a**3. Let u be t(-1). Let m = 13 - u. Factor v**2 - 7*v + m - 3 + v.
(v - 3)**2
Let n be (2 + -2)*(-1)/2. Factor n*z + 0 - 1/2*z**2 - 1/2*z**4 + z**3.
-z**2*(z - 1)**2/2
Let l(r) = -2*r**4 + 10*r**3 - 14*r**2 + 2*r - 2. Let h(m) = 3*m**4 - 19*m**3 + 29*m**2 - 3*m + 5. Let s(z) = -2*h(z) - 5*l(z). Factor s(p).
4*p*(p - 1)**3
Let z be 0 - (-2)/4*6. Factor 6*o**2 + 3*o**5 + 78*o**4 + z*o - 81*o**4 - 3 - o**3 - 5*o**3.
3*(o - 1)**3*(o + 1)**2
Let f(q) be the first derivative of -1/5*q**5 - 1/2*q**2 + 1/4*q**4 - 5 + 1/3*q**3 + 0*q. Find w, given that f(w) = 0.
-1, 0, 1
Let b(x) = x**3 - 11*x**2 + 9*x + 14. Let c be 9/6*(-40)/(-6). Let i be b(c). Factor -9 - 7*t + 2*t**2 - 3*t**2 - i*t + 5*t.
-(t + 3)**2
Suppose 5 = y - 2*y. Let d = -2 - y. Factor c**d + c - c.
c**3
Let g = -174 - -179. Factor -1/3*h + 1/3*h**g + 0*h**3 + 2/3*h**2 - 2/3*h**4 + 0.
h*(h - 1)**3*(h + 1)/3
Let b(z) = z**3 - 3*z**2 - z - 1 + 3*z - 3. Let f be b(3). Let 9*k**4 + 15*k**3 + k**2 + 3*k**2 + k + 5*k**2 - 2*k**f = 0. Calculate k.
-1, -1/3, 0
Let m(w) be the first derivative of 1 + 0*w**3 + 0*w + 0*w**4 - 1/2*w**2 - 1/40*w**5. Let i(n) be the second derivative of m(n). Factor i(t).
-3*t**2/2
Let f(w) = -w**4 + 3*w**3 + 5*w**2 + 3*w - 4. Let a be (-29)/9 + (-4)/(-18). Let l(k) = -k**3 - k**2 - k + 1. Let i(b) = a*l(b) - f(b). Solve i(y) = 0 for y.
-1, 1
Let b(l) = 3*l**2 - 10*l + 9. Let a be b(1). Solve 1/4*u**a - 1/2*u + 0 = 0.
0, 2
Let f(y) be the third derivative of 1/4*y**5 - 1/24*y**4 + 0*y - 19/120*y**6 - 2*y**2 + 1/30*y**7 - 1/3*y**3 + 0. Let f(m) = 0. Calculate m.
-2/7, 1
Solve -16/5*b**2 + 2*b**4 + 0 + 14/5*b**3 - 8/5*b = 0.
-2, -2/5, 0, 1
Let d(o) be the third derivative of -1/336*o**8 + 0*o**3 + 1/120*o**6 + 0 + 0*o**4 - o**2 - 1/60*o**5 + 1/210*o**7 + 0*o. Determine k so that d(k) = 0.
-1, 0, 1
Suppose -2*h - 3*h = -40. Let b = h + -6. Let -f**3 + f**2 - b*f**2 + f**2 = 0. What is f?
0
Factor 0*s**2 - 5*s - 3*s**2 - 3*s - 4*s.
-3*s*(s + 4)
Solve 10/11*f - 2/11*f**4 + 4/11 + 6/11*f**2 - 2/11*f**3 = 0 for f.
-1, 2
Factor -36/7 - 6/7*n**3 - 24/7*n**2 + 66/7*n.
-6*(n - 1)**2*(n + 6)/7
Let b(n) = 3*n**3 + n**2 - 2. Let u(z) = -3*z**3 + 3. Let f(c) = 3*b(c) + 2*u(c). Solve f(g) = 0 for g.
-1, 0
Let s(d) be the second derivative of 343*d**6/10 - 147*d**5 + 168*d**4 - 88*d**3 + 24*d**2 + 7*d. Factor s(g).
3*(g - 2)*(7*g - 2)**3
Let i be (-24 - -2) + -3 - -1. Let y be (2/(-5))/(i/20). Suppose -y*t**2 + 2/3*t + 0 = 0. Calculate t.
0, 2
Find n, given that 24/11*n + 2/11*n**3 - 12/11*n**2 - 16/11 = 0.
2
Let g(v) be the first derivative of 1/2*v**2 - 1/4*v**4 + 2/3*v**3 - 2*v - 2. Let g(t) = 0. What is t?
-1, 1, 2
Factor 1/3*n - 2/3*n**2 + 2/3 - 1/3*n**3.
-(n - 1)*(n + 1)*(n + 2)/3
Let g(s) be the first derivative of 0*s**2 - s - 1/84*s**7 + 1/20*s**5 - 1/12*s**3 + 0*s**6 + 2 + 0*s**4. Let d(x) be the first derivative of g(x). Factor d(v).
-v*(v - 1)**2*(v + 1)**2/2
Let i be (-667)/(-580) - (-4)/(-10). Let h(y) be the second derivative of 1/10*y**6 + 0 - 7/20*y**5 - i*y**3 + 1/2*y**2 + 2/3*y**4 - y - 1/84*y**7. Factor h(b).
-(b - 2)*(b - 1)**4/2
Let x(r) be the second derivative of -1/2*r**4 + 1/10*r**5 - r**2 + r**3 + 3*r + 0. Solve x(b) = 0.
1
Factor 0 + 0*o + 4/3*o**4 + 0*o**2 - 2/3*o**5 - 2/3*o**3.
-2*o**3*(o - 1)**2/3
Let c(b) = -b**2 - 2*b - 4. Suppose 5*o - 13 - 14 = 2*k, 0 = 3*k + o - 2. Let y(f) = -1. Let s(g) = k*c(g) + 4*y(g). Solve s(x) = 0.
-2, 0
Let w(f) = f**3 - f**2 - f + 1. Let i = 29 - 17. Let z(u) = -4*u**3 - 2*u**2 - 5*u - 7. Let v(t) = i*w(t) + 4*z(t). Factor v(o).
-4*(o + 1)*(o + 2)**2
Let g(d) be the third derivative of 2*d**7/105 + d**6/30 + 5*d**2. Find k such that g(k) = 0.
-1, 0
Let o(u) be the second derivative of 1/15*u**4 + 1/10*u**3 + 0 - 3*u - 1/10*u**2. Solve o(i) = 0.
-1, 1/4
Determine h, given that 2/3*h - 1/3*h**2 + 0 = 0.
0, 2
Let y(n) be the third derivative of -n**8/20160 - n**7/2520 + 2*n**5/15 - 4*n**2. Let a(k) be the third derivative of y(k). Let a(s) = 0. What is s?
-2, 0
Let r = -153 + 1685/11. Let k = 3/44 + r. Factor k + 1/4*b**2 + 1/2*b.
(b + 1)**2/4
Find u such that -2/3*u**2 - 8/3 - 10/3*u = 0.
-4, -1
Let h = 14 - 5. Factor -3*r**2 - 11*r**4 + 3*r**2 + 2*r**4 - h*r**3 - 3*r**5 - 3*r**2.
-3*r**2*(r + 1)**3
Let q(d) be the second derivative of d**6/1800 - d**5/200 + d**4/60 + d**3/2 + 2*d. Let t(p) be the second derivative of q(p). Factor t(w).
(w - 2)*(w - 1)/5
Let j(a) be the first derivative of 25*a**6/36 + 3*a**5/2 - 35*a**4/24 - 5*a**3/2 + 5*a**2/6 - 22. Determine b, given that j(b) = 0.
-2, -1, 0, 1/5, 1
Let g(a) = -a**2 - 6*a - 6. Let u be g(-4). Let q be 0/(((-12)/3)/u). Solve 2/3*b**4 - 2/3*b**3 + 0 - 2/9*b**5 + q*b + 2/9*b**2 = 0.
0, 1
Let p(d) be the first derivative of -d**8/3360 - d**7/560 - d**6/240 - d**5/240 + d**3/3 + 1. Let k(c) be the third derivative of p(c). Factor k(o).
-o*(o + 1)**3/2
Let t be (-2)/(-1) - 42/(-8). Let i(x) = x**2 + 9*x + 17. Let q be i(-7). Factor -y - t*y**2 - 21/4*y**q + 1.
-(y + 1)*(3*y + 2)*(7*y - 2)/4
Let x(p) be the third derivative of -p**6/80 - p**5/40 - 2*p**2. Factor x(l).
-3*l**2*(l + 1)/2
What is n in -5/4*n**2 + 7/4*n**3 + 0 - 1/2*n = 0?
-2/7, 0, 1
Let k(x) = 4*x**3 - 26*x**2 - 11*x. Let b(i) = -i**3 + 5*i**2 + 2*i. Let t be (-12)/(-8)*44/6. Let c(h) = t*b(h) + 2*k(h). Find d such that c(d) = 0.
0, 1
Let j(h) = h**2 - 11*h + 22. Let l be j(9). Let p(o) be the first derivative of 5/4*o**l - 4/5*o**5 + o - 1 + o**3 - 5/2*o**2. Factor p(n).
-(n - 1)**2*(n + 1)*(4*n - 1)
Let c be (7 - 2)*(-6)/(-165). Factor -8/11*j - 8/11 - c*j**2.
-2*(j + 2)**2/11
Factor 3/2 - 2*n + 1/2*n**2.
(n - 3)*(n - 1)/2
Factor 2*f**2 - 5*f**3 - 4*f**2 + 7*f**2.
-5*f**2*(f - 1)
Suppose -5*u - o = 0, -2*u + 0*u + 3*o = 0. Let 3 - 2*l + u*l + 3*l**2 - 3*l - l = 0. What is l?
1
Suppose x - 49 = -2*b, 2*x + 102 = 3*b + b. Factor -27 - 18*y - 12*y**2 - 8*y**2 - 8*y**2 + b*y**2.
-3*(y + 3)**2
Let p(f) be the third derivative of -2*f**7/105 + f**6/15 - f**4/3 + 2*f**3/3 - 2*f**2. What is l in p(l) = 0?
-1, 1
Factor 7 + 77*s**3 - 5*s - 72*s**3 - 7.
5*s*(s - 1)*(s + 1)
Let n(t) be the first derivative of -1/18*t**6 + 0*t**4 + 0*t + 3 + 0*t**2 + 1/5*t**5 - 4/9*t**3. Let n(w) = 0. What is w?
-1, 0, 2
Determine f, given that 3/4 - 3/4*f**2 - 9/8*f**3 + 9/8*f = 0.
-1, -2/3, 1
Let a(z) be the third derivative of z**7/630 - z**6/60 + z**5/15 + 5*z**4/24 + 5*z**2. Let f(j) be the second derivative of a(j). Suppose f(p) = 0. What is p?
1, 2
Let -2*u**2 - u**3 - 377*u + 0*u**3 + 376*u = 0. Calculate u.
-1, 0
Let x(o) be the first derivative of -2*o**6/45 - o**5/60 + o**4/9 + o**3/18 - 2*o + 3. Let f(q) be the first derivative of x(q). Factor f(l).
-l*(l - 1)*(l + 1)*(4*l + 1)/3
Let z(x) be the second derivative of -x**8/13440 + x**7/1260 - x**6/288 + x**5/120 - 7*x**4/12 + 4*x. Let a(j) be the third derivative of z(j). Factor a(k).
-(k - 2)*(k - 1)**2/2
Let a(p) be the second derivative of -2*p**7/231 + 7*p**6/165 - 4*p**5/55 + p**4/33 + 2*p**3/33 - p**2/11 + 22*p. Factor a(v).
-2*(v - 1)**4*(2*v + 1)/11
Suppose 2*o = 2*f - 0*f + 8, 4*f + o - 4 = 0. Suppose -8*a + 2*a + f - a**2 - 5 - 4 = 0. Calculate a.
-3
Let h(q) be the first derivative of 4 - 3/10*q**4 + 0*q**3 - 3/5*q + 3/25*q**5 + 3/5*q**2. Factor h(o).
3*(o - 1)**3*(o + 1)/5
Factor 0*t**4 + 0 + 0*t**2 - 4/7*t**3 + 2/7*t + 2/7*t**5.
2*t*(t - 1)**2*(t + 1)**2/7
Let a(s) = -4*s + 15. Let r be a(3). Let 2/3*y**4 - 2*y**5 - 14/9*y**2 - 16/9*y + 34/9*y**r + 8/9 = 0. What is y?
-1, 2/3, 1
Let x be 4 - 1 - 0/2. Let 3*q**5 + 3*q**4 - 6*q**2 + q**5 + x*q - 6*q**3 + 3 - q**5 = 0. Calculate q.
-1, 1
Let v(r) = -r**3 - 2*r**2 + 3*r + 2. Let t be v(-3). Let -l - 4*l**2 + 2*l**4 + 3*l - 2*l + t = 0. Calculate l.
-1, 1
Let a be 6 + (-18)/(12/4). Let a - 1/2*k + 1/4*k**2 = 0. Calculate k.
0, 2
Let r(d) be the third derivative of d**5/60 - d**4/8 - 4*d**3/3 + 2*d**2. Let g be r(5). Factor 1/4 - 1/4*m - 1/4*m**g + 1/4*m**3.
(m - 1)**2*(m + 1)/4
Let b be 1/(-1) - (-11 - -8). Factor -2*l**3 - 1 - l**b + 3*l**2 - 1 + 2*l.
-2*(l - 1)**2*(l + 1)
Let i(n) = -n - 8. Let q be i(-9). Suppose c - 4*s - q = -8, c + 4*s = 25. Factor