 3*s - 1/3 + i*s**3.
(s - 1)*(4*s - 1)**2/3
Let z be 1/(-7) - 226/(-14). Let m = -10 + z. Factor m*w**3 - 8*w**2 + 0 + 8/3*w.
2*w*(3*w - 2)**2/3
Let p = 41 - 122/3. Let f(m) be the second derivative of 1/12*m**4 + 0 - p*m**3 + 0*m**2 - 2*m. Factor f(v).
v*(v - 2)
Let q(l) = 5*l**4 - 11*l**3 + 11*l**2 - 5*l + 1. Let r(o) = -o**5 + o**3 - o**2. Let m(s) = -5*q(s) - 5*r(s). Factor m(y).
5*(y - 1)**5
Let g(n) be the second derivative of -n**7/3360 - n**6/240 - 3*n**5/160 + n**4/12 - 2*n. Let z(l) be the third derivative of g(l). Determine m so that z(m) = 0.
-3, -1
Let x be (8/9)/(110/15). Let n(f) be the first derivative of -1/11*f**2 + 0*f - 1/22*f**4 + 4 - x*f**3. Suppose n(s) = 0. What is s?
-1, 0
Factor 6*p**2 + 3 - p**3 + 8 - 3*p**2 - 3*p - 10.
-(p - 1)**3
Determine v, given that 0 - 3/8*v**2 - 1/8*v - 3/8*v**3 - 1/8*v**4 = 0.
-1, 0
Let c(y) = 3*y**4 + 2*y**3 + y**2 + 2*y + 2. Let l(n) = 10*n**4 + 7*n**3 + 4*n**2 + 7*n + 7. Let v(h) = -21*c(h) + 6*l(h). Let v(x) = 0. What is x?
-1, 0, 1
Let a = 114/13 - 1000/117. Suppose 8*f - 3*f = 2*l + 24, 3*l + 2 = -f. Let -4/9*v**2 + a + 2/9*v**f - 2/9*v - 2/9*v**5 + 4/9*v**3 = 0. Calculate v.
-1, 1
Let o = 74 + -74. Let c(l) be the third derivative of -2*l**2 + o - 1/180*l**6 + 0*l - 1/30*l**5 - 1/9*l**3 - 1/12*l**4. Factor c(x).
-2*(x + 1)**3/3
Factor 40 + 8*w + 2/5*w**2.
2*(w + 10)**2/5
Let c be (10/(-4))/((-2)/4). Suppose -s = -3*r + 4 + 4, c*s = 5. Solve -2*i**r + 2*i**2 + i - i = 0.
0, 1
Let o be (-1 + 4)*(-4)/6. Let v(m) = m**2 + 3*m + 2. Let s be v(o). Factor 2/7*q + s - 2/7*q**2.
-2*q*(q - 1)/7
Let g(l) be the third derivative of -l**6/60 - 2*l**5/45 - l**4/27 + 6*l**2. Factor g(i).
-2*i*(3*i + 2)**2/9
Let s(v) be the second derivative of 8/5*v**6 - 5*v + 12*v**2 + 0 - 9/2*v**4 + 15/14*v**7 - 123/20*v**5 + 10*v**3. Find g, given that s(g) = 0.
-2, -2/3, -2/5, 1
Let c = -37/3 - -41/3. Let b(z) be the second derivative of -c*z**3 - 2/5*z**5 - z - 1/15*z**6 - z**4 - z**2 + 0. Factor b(j).
-2*(j + 1)**4
Let z = -10483/24 - -437. Let v(g) be the third derivative of 7/60*g**5 + 0*g - 1/3*g**3 + z*g**4 + 0 + 2*g**2. Factor v(b).
(b + 1)*(7*b - 2)
Let c = 2 + -3. Let y = 1 + c. Factor 1 - 2*n + 0*n**2 + y*n + n**2.
(n - 1)**2
Let j(d) be the third derivative of -d**8/840 + d**6/300 - 5*d**2. Factor j(u).
-2*u**3*(u - 1)*(u + 1)/5
Let b(h) = 1 + 2*h**2 + 3 + 3*h - 4 - 3*h**3 + 2. Let m(y) = -4*y**3 + 3*y**2 + 3*y + 2. Let c(g) = -3*b(g) + 2*m(g). Factor c(d).
(d - 2)*(d + 1)**2
Let u = 97 + -95. Factor -1/3*c + 1/3*c**5 + 0 - 2/3*c**4 + 0*c**3 + 2/3*c**u.
c*(c - 1)**3*(c + 1)/3
Let v = 19/21 + -50/63. Factor 1/9*a**3 + v*a**4 + 0*a**2 + 0*a + 0.
a**3*(a + 1)/9
Let u(k) be the first derivative of 2*k**6 + 51*k**5/5 + 21*k**4 + 22*k**3 + 12*k**2 + 3*k + 13. Solve u(s) = 0.
-1, -1/4
Let b(k) = -k**2 + 12*k + 2. Let v be b(12). Factor -2*h - 15*h**v + 2 - 2 + 16*h**2 + 1.
(h - 1)**2
Let y = -31/6 + 13/2. Factor -8/3*j**2 - y - 2/3*j**3 - 10/3*j.
-2*(j + 1)**2*(j + 2)/3
Let n(x) = -x**3 + x**2 - x + 1. Let a be n(1). Let g be a + 6/((-6)/(-3)). Find i such that -3*i - 1 + i**2 + 2*i**2 + g*i**3 - 2 = 0.
-1, 1
Suppose -z + 3*z**3 - 2*z + 0*z**2 - 3 + 3*z**2 = 0. What is z?
-1, 1
Let d(l) be the first derivative of 2*l**4/7 + 2*l**3/21 - 4*l**2/7 - 2*l/7 - 2. Factor d(s).
2*(s - 1)*(s + 1)*(4*s + 1)/7
Solve 15*k**2 + 11*k**3 + 28*k + 6*k**2 - 2*k**3 + 13*k**2 - 8 = 0 for k.
-2, 2/9
Let x(y) be the first derivative of 0*y - 2/21*y**3 + 3 - 6/35*y**5 - 1/21*y**6 - 3/14*y**4 + 0*y**2. Factor x(z).
-2*z**2*(z + 1)**3/7
Let b(k) be the second derivative of 0 + 5*k + 0*k**2 - 1/60*k**4 - 1/15*k**3. Factor b(s).
-s*(s + 2)/5
Let a(d) = 6*d**2 - 6*d + 7. Let t(l) = 7*l**2 - 6*l + 7. Let b(y) = 6*a(y) - 5*t(y). Let x be b(5). Solve 2/5 + 0*c - 2/5*c**x = 0.
-1, 1
Let u be 0*(-3)/6*2. What is b in -b - b**2 - b + u*b**2 - 3*b**2 - 2*b**3 = 0?
-1, 0
Suppose 0 = -c - 4*f - 4 - 2, -c - 5*f - 10 = 0. Suppose -c = 5*q, 3*q = -3*y - 0*q. What is g in -g**2 + 6*g**3 + 2*g + g**4 + g**4 + 7*g**y = 0?
-1, 0
Let i = 19 + -37/2. Let o be 3/4 + (-2)/8. Factor 0*c - i + o*c**2.
(c - 1)*(c + 1)/2
Solve 11*h**4 - h**3 - 12*h**4 + 2*h**2 + 0*h**3 = 0 for h.
-2, 0, 1
Let j(h) be the third derivative of 0 + 1/100*h**5 - 1/30*h**4 + 0*h + 1/30*h**3 + 2*h**2. Factor j(n).
(n - 1)*(3*n - 1)/5
Let g(u) be the third derivative of u**5/390 + u**4/26 + 24*u**2. Factor g(q).
2*q*(q + 6)/13
Let w(a) be the second derivative of -a**7/14 + 3*a**6/10 - 3*a**5/10 - a**4/2 + 3*a**3/2 - 3*a**2/2 + 15*a. Let w(b) = 0. Calculate b.
-1, 1
Factor 0 + 0*u**2 + 2/9*u - 2/9*u**3.
-2*u*(u - 1)*(u + 1)/9
Let z(c) be the third derivative of c**7/315 + c**6/90 - c**5/30 - c**4/9 + 4*c**3/9 + 13*c**2. Find k such that z(k) = 0.
-2, 1
Let c(w) be the second derivative of w**4/6 - w**3 + 25*w. Determine b, given that c(b) = 0.
0, 3
Let i = -1053/8 - -5119/24. Let s = i - 81. Factor 4/9*q**2 + s*q + 2/9.
2*(q + 1)*(2*q + 1)/9
Determine n so that -5/2*n - 5/4*n**4 + 5*n**2 + 5/2*n**3 - 15/4 = 0.
-1, 1, 3
Let f(d) be the first derivative of -d**7/840 - d**6/360 + d**5/60 + d**3 - 3. Let w(a) be the third derivative of f(a). Factor w(l).
-l*(l - 1)*(l + 2)
Let v(z) = 5*z**2 - z - 1. Let l be v(-1). Let g be (l/70)/((-1)/(-4)). Factor g*n - 2/7*n**2 - 2/7*n**3 + 2/7.
-2*(n - 1)*(n + 1)**2/7
Factor 1/7*s**2 + 0*s - 4/7.
(s - 2)*(s + 2)/7
Let b be 1/(3/((-45)/(-3))). Solve -3*h**4 - b*h + h**4 + 6*h**2 + h = 0 for h.
-2, 0, 1
Let r be (-6 + 6)*(6/4)/3. Let b(u) be the second derivative of r + 3/4*u**4 + 4*u - 2*u**3 + 3/2*u**2. Find v such that b(v) = 0.
1/3, 1
Suppose 15 = 2*l - 3*k, 12 = -5*l - 3*k - 3. Factor 0*o + l - 2/7*o**3 + 2/7*o**2.
-2*o**2*(o - 1)/7
Let h = -5 + -10. Let j be 22/6 + 10/h. Factor -1/2*l**2 - 1/2*l**5 + 0 + 0*l + 1/2*l**4 + 1/2*l**j.
-l**2*(l - 1)**2*(l + 1)/2
Suppose 3*a = -0*a + 9. Let k(y) be the third derivative of -1/210*y**5 + 0 + 2*y**2 + 0*y**4 + 1/21*y**a + 0*y. Determine x so that k(x) = 0.
-1, 1
Let z = 26/171 + 4/57. Let 0*f - 2/9 + z*f**2 = 0. Calculate f.
-1, 1
Let r = -56 - -60. Let p(d) = -2*d - 3. Let b be p(-3). Find g such that 0*g**b + 1/3*g**2 + 0*g - 1/3*g**r + 0 = 0.
-1, 0, 1
Let l(b) be the third derivative of -b**5/12 + 5*b**4/12 + 16*b**2. Determine n so that l(n) = 0.
0, 2
Let c(b) be the first derivative of b**3/15 + 3*b**2/20 + b/10 - 26. Factor c(u).
(u + 1)*(2*u + 1)/10
Factor 4*n**2 + 4*n**3 + n**4 - 4*n - 8*n**4 + 3*n**4.
-4*n*(n - 1)**2*(n + 1)
Let f(g) be the second derivative of 1/3*g**3 + 1/12*g**4 + 3*g + 0*g**2 + 0 - 1/5*g**5 - 1/10*g**6. Let f(n) = 0. What is n?
-1, 0, 2/3
Let m(u) be the first derivative of 7/24*u**4 + 1/2*u**2 + 2 + 3/4*u**3 - 2*u. Let a(c) be the first derivative of m(c). What is t in a(t) = 0?
-1, -2/7
Let w(x) be the second derivative of 0*x**2 + 0*x**3 + 1/240*x**6 - 1/96*x**4 + 0*x**5 + 8*x + 0. Solve w(y) = 0.
-1, 0, 1
Suppose -2/11*u + 4/11*u**2 + 2/11*u**3 - 4/11 = 0. What is u?
-2, -1, 1
Let o(x) be the first derivative of x**3/5 + 6*x**2/5 + 4. Factor o(a).
3*a*(a + 4)/5
Let t(y) be the first derivative of y**6/30 - y**4/10 + y**2/10 - 2. Factor t(h).
h*(h - 1)**2*(h + 1)**2/5
Let f(p) be the second derivative of p**7/14 - p**6/30 - p**5/10 + 7*p. Factor f(t).
t**3*(t - 1)*(3*t + 2)
Let l(u) be the third derivative of u**8/840 - 2*u**7/525 - u**6/300 + u**5/75 - 4*u**2. Determine q so that l(q) = 0.
-1, 0, 1, 2
Let m(a) be the third derivative of -a**6/2340 - a**5/780 - a**3/3 + 2*a**2. Let l(g) be the first derivative of m(g). Factor l(o).
-2*o*(o + 1)/13
Factor 3*b**2 - 2*b**2 - 4*b**2 + 3*b + b**2.
-b*(2*b - 3)
Let a = 43 + -85/2. Find x such that -a*x**5 - 5/2*x**4 - 5*x**3 - 1/2 - 5*x**2 - 5/2*x = 0.
-1
Suppose -2*a = -6, -s + 2*a - 5 + 1 = 0. Let j(l) = 2*l**3 + l**2 - 2*l + 1. Let z be j(1). Solve -3*g - z + s*g**2 + g**2 - 4*g**2 = 0 for g.
-2, -1
Let h(n) be the second derivative of 2*n**6/105 - n**5/35 - n**4/3 + 26*n**3/21 - 12*n**2/7 - 14*n. Let h(y) = 0. Calculate y.
-3, 1, 2
Let p(k) be the first derivative of -k**5/20 - 2*k**4 - 64*k**3/3 + 1. Find f such that p(f) = 0.
-16, 0
Find w, given that -7 + 5 + 10*w - 10 + 5*w - 3*w**2 = 0.
1, 4
Let w(d) = d**3 - 2*d**2 + 4*d - 5. Let o be w(2). Suppose 0 - 5/3*s**o - 2/3*s + 7/3*s**2 = 0. What is s?
0, 2/5, 1
Let o(