derivative of 1/5*c**5 - 3/4*c**4 + c**3 + h + 0*c - 1/2*c**2. Factor l(o).
o*(o - 1)**3
Let t(w) be the third derivative of 0*w - 1/3*w**3 + 0 - 1/15*w**5 + 3*w**2 - 1/120*w**6 - 5/24*w**4. Suppose t(p) = 0. What is p?
-2, -1
Let -26/5*h**4 - 12/5*h**5 + 6/5*h**3 + 8/5*h + 0 + 24/5*h**2 = 0. Calculate h.
-2, -2/3, -1/2, 0, 1
Let z(t) be the first derivative of 5*t**4/4 - 10*t**3 + 55*t**2/2 - 30*t - 20. Find p such that z(p) = 0.
1, 2, 3
Let x(o) be the second derivative of -8/3*o**2 - 4*o + 7/30*o**5 + 20/9*o**3 + 13/9*o**4 + 0. Factor x(w).
2*(w + 2)**2*(7*w - 2)/3
Let m(s) be the third derivative of -s**6/60 + s**4/4 + 2*s**3/3 + 7*s**2. Factor m(k).
-2*(k - 2)*(k + 1)**2
Let h(i) be the second derivative of -5*i + 1/15*i**3 - 1/50*i**5 + 0*i**2 + 0*i**4 + 0. What is d in h(d) = 0?
-1, 0, 1
Let g(w) = w - 1. Let z(o) = 3*o**3 - 6*o**2 + 4*o - 4. Let c(v) = -v**3 - 5*v**2 + 7*v + 5. Let h be c(-6). Let i(x) = h*z(x) + 4*g(x). Factor i(d).
-3*d**2*(d - 2)
Factor 113*x - x**3 - 8*x**2 - 117*x - 3*x**3.
-4*x*(x + 1)**2
Let b(h) be the first derivative of h**4/12 + 2*h**3/9 - h**2/6 - 2*h/3 - 3. Find u, given that b(u) = 0.
-2, -1, 1
Suppose -5*t + 0*t - 11 = 2*p, -5*p = 4*t + 2. Suppose 0 + 0*s - 2/3*s**3 + 2/3*s**p = 0. What is s?
0, 1
Let i(j) = 13*j**3 - 3*j**2 - 5*j + 5. Let m(w) = -7*w**3 + w**2 + 3*w - 3. Let c(n) = 3*i(n) + 5*m(n). Solve c(a) = 0.
0, 1
Let r(i) be the first derivative of i**5/20 + i**4/4 + i**3/2 - 3*i**2/2 + 1. Let z(o) be the second derivative of r(o). Solve z(d) = 0.
-1
Suppose -2*h + 4 = -h. Let -3*r**3 + h*r**3 + 2*r**2 + 5*r**2 - 6*r**2 = 0. What is r?
-1, 0
Let q(p) be the first derivative of 0*p**3 + 0*p**4 + 1/12*p**6 - p - 2 + 0*p**2 + 1/20*p**5. Let v(t) be the first derivative of q(t). Factor v(c).
c**3*(5*c + 2)/2
Let k = 45 - -5. Let c = k - 148/3. Let 2/3*b**3 + 2/3*b**2 - 2/3*b - c = 0. Calculate b.
-1, 1
Let p(x) be the third derivative of -x**6/360 + x**4/24 - x**3/3 + 6*x**2. Let h(u) be the first derivative of p(u). Find b such that h(b) = 0.
-1, 1
Let r(y) be the first derivative of 0*y**4 - 4/9*y**3 + 3 + 1/9*y**6 + 4/15*y**5 - 1/3*y**2 + 0*y. Factor r(h).
2*h*(h - 1)*(h + 1)**3/3
Let f(a) be the first derivative of -1/24*a**6 + 0*a**3 + 0*a + 0*a**5 - 2 + 1/8*a**4 - 1/8*a**2. Factor f(d).
-d*(d - 1)**2*(d + 1)**2/4
Let h(m) be the second derivative of m**5/140 - m**3/42 + 2*m. Factor h(d).
d*(d - 1)*(d + 1)/7
Factor -6/7*h**2 - 2/7*h**3 + 0*h + 8/7.
-2*(h - 1)*(h + 2)**2/7
Let p(r) be the third derivative of 1/120*r**6 + 1/60*r**5 - 1/24*r**4 + 0*r - 1/6*r**3 + 0 - 4*r**2. Determine k, given that p(k) = 0.
-1, 1
Let m(o) be the second derivative of -4*o + 1/6*o**3 + 0 + 0*o**2 + 1/20*o**5 + 1/6*o**4. Factor m(t).
t*(t + 1)**2
Determine d, given that 4/5 - 16/5*d**2 - 6*d = 0.
-2, 1/8
Let i(g) be the third derivative of 0*g**3 - 4*g**2 - 1/420*g**7 + 0 + 0*g - 1/240*g**6 + 1/120*g**5 + 0*g**4 + 1/672*g**8. What is p in i(p) = 0?
-1, 0, 1
Let x(b) = -b**2. Let y(l) = -10*l**2 - 3*l - 4. Let p(m) = 22*x(m) - 2*y(m). Suppose p(i) = 0. Calculate i.
-1, 4
Suppose 5*s - 97 = -0*s + 2*d, -50 = -2*s - 2*d. Determine o, given that 3 + 9*o + 9*o**3 + 5*o + o + s*o**2 = 0.
-1, -1/3
Suppose 2*u + 0*u = 4. Let c(o) be the second derivative of 0*o**u - 1/12*o**4 + 0 + 1/3*o**3 + o. Factor c(a).
-a*(a - 2)
Let k(o) = 0*o**3 - 5*o**3 + 7*o**4 + 11*o**5 - o**5 - 5*o. Let m(w) = -w**5 - w**4 + w**3 + w. Let c(z) = k(z) + 5*m(z). Solve c(q) = 0 for q.
-2/5, 0
Solve 10/3*n**2 + 4/3 + 14/3*n = 0 for n.
-1, -2/5
Let t = 2 + 0. Let n be ((-1)/1 + 0)*0. Suppose 1/3 - 1/3*j**t + n*j = 0. Calculate j.
-1, 1
Suppose -16 = -5*x - 6. Let r(u) be the second derivative of 2/3*u**3 - 1/6*u**4 - u**x + 2*u + 0. Factor r(c).
-2*(c - 1)**2
Factor 5/2*q**2 + 45/2 + 15*q.
5*(q + 3)**2/2
Let a(i) be the third derivative of -i**5/40 - i**4/8 + 3*i**3/4 + 6*i**2. Suppose a(u) = 0. Calculate u.
-3, 1
Let t be 7/5 + -2 - -1. Let z = 1686/5 + -336. Find v such that z*v**2 + 6/5*v + t + 2/5*v**3 = 0.
-1
Suppose 2*y = 3*k + 3, -k = y - 5*y + 11. Suppose 2*d + 15 = 5*j, 2*d - 7*d - j + y = 0. Find q, given that d - 2/7*q + 2/7*q**3 + 0*q**2 = 0.
-1, 0, 1
Let l(a) be the first derivative of 0*a + 0*a**2 - 1/5*a**3 + 3/25*a**5 + 9 - 3/20*a**4 + 1/10*a**6. Factor l(p).
3*p**2*(p - 1)*(p + 1)**2/5
Factor 1/3*f**4 + 0 + 1/3*f**5 + 2/3*f - 1/3*f**2 - f**3.
f*(f - 1)**2*(f + 1)*(f + 2)/3
Let s(j) be the first derivative of -j**6/35 - 3*j**5/140 + 6*j + 3. Let x(m) be the first derivative of s(m). Factor x(f).
-3*f**3*(2*f + 1)/7
Let n(f) be the second derivative of -1/21*f**4 + 2*f + 0*f**2 + 1/21*f**3 + 0 + 1/49*f**7 - 2/35*f**5 + 2/105*f**6. Suppose n(v) = 0. What is v?
-1, 0, 1/3, 1
Factor y**2 - 2*y + 3*y - 2*y + 0*y**2.
y*(y - 1)
Suppose -2*z - 4 = -2*n, -1 = -3*n + n + 5*z. Let a be 1*2*(n + -1). Find c, given that -16/7*c**a + 12/7*c**2 - 2/7*c + 8/7*c**3 - 2/7 = 0.
-1/2, 1/2, 1
Find m, given that 2/7*m**3 - 2/7*m**4 + 0*m + 4/7*m**2 + 0 = 0.
-1, 0, 2
Let l = -253 + 1267/5. Let z = 5889/5 - 1173. Factor -72/5*y**2 - l + z*y.
-2*(6*y - 1)**2/5
Let v = -1 + 3. Factor o**4 - o**2 + v*o**2 - 3*o**3 + 2*o**4 + 0*o**4 - o**5.
-o**2*(o - 1)**3
Let u be (1*-2)/((-6)/(-9)). Let w(n) = -n**2 - 4*n + 1. Let b be w(u). Solve s**3 + b*s - 6*s**2 - s**4 + 3*s**3 + 3 - 4 = 0 for s.
1
Let m(k) = k**3 - 3*k**2 + 3*k - 4. Let j be m(3). Factor 4*x**3 - x**2 - 5 + j - 3*x**3.
x**2*(x - 1)
Suppose 0 + 0*r**2 + 0*r - 1/2*r**5 + 1/4*r**4 + 0*r**3 = 0. What is r?
0, 1/2
Let w = 43 + -40. Let f = 3 + 0. Determine b, given that w*b**5 + 3*b**f - b**3 - 5*b**5 = 0.
-1, 0, 1
Let p(d) be the third derivative of -d**7/280 + 3*d**6/160 - 9*d**2. Factor p(l).
-3*l**3*(l - 3)/4
Let o(s) be the second derivative of 0 + s**2 - 1/6*s**3 - 1/60*s**5 - 3*s - 1/12*s**4. Let v(f) be the first derivative of o(f). What is r in v(r) = 0?
-1
Let l be -1*2 + (-291)/(-141). Let j = l - -79/235. Solve -12/5*s**3 + 0 - 16/5*s - j*s**4 - 24/5*s**2 = 0 for s.
-2, 0
Let i(j) = -j**2. Let c(o) = -o**3 + 5 + 10*o**2 - 10*o - 2*o + 3. Let f(v) = c(v) + 4*i(v). Suppose f(l) = 0. What is l?
2
Let m(d) be the third derivative of d**6/240 - d**5/30 + 5*d**4/48 - d**3/6 + 7*d**2. Find v, given that m(v) = 0.
1, 2
Let p(x) = -10*x - 16. Let s be p(-8). Solve 0*a**4 + 8*a + a**4 + s*a**3 + 12*a**2 - 58*a**3 = 0.
-2, 0
Let q(m) be the third derivative of -m**7/70 + 3*m**6/40 - 3*m**5/20 + m**4/8 - 5*m**2. Let q(f) = 0. What is f?
0, 1
Factor -r**2 + 3/2*r + 3/2*r**4 - r**3 - 1/2*r**5 - 1/2.
-(r - 1)**4*(r + 1)/2
Let b be ((-2)/(-72))/(15/10). Let x(m) be the second derivative of 0 + 2/27*m**3 - 1/9*m**2 - m - b*m**4. What is z in x(z) = 0?
1
Let f(n) be the third derivative of 0*n**3 + 1/168*n**8 + 0*n**5 + 0*n**4 + 1/60*n**6 - 4*n**2 + 0*n + 0 - 2/105*n**7. Factor f(j).
2*j**3*(j - 1)**2
Let s = 37/16 + -375/176. Factor 0 - s*x**2 - 2/11*x.
-2*x*(x + 1)/11
Let d(v) be the first derivative of -v**6/48 - v**5/40 + 5*v**4/32 + v**3/24 - v**2/2 + v/2 + 1. Solve d(i) = 0 for i.
-2, 1
Determine r, given that 9/4*r**2 - 5/2 + 43/4*r = 0.
-5, 2/9
Let c(k) be the third derivative of -4*k**2 + 0*k + 0*k**3 + 0 + 1/210*k**5 + 0*k**4. Factor c(o).
2*o**2/7
Solve -g + 9*g + 12*g**2 - 6*g**3 + 3*g**3 + 7*g**3 = 0 for g.
-2, -1, 0
Let f(s) be the first derivative of -5*s**6/6 + s**5 + 5*s**4/4 - 5*s**3/3 + 35. Factor f(o).
-5*o**2*(o - 1)**2*(o + 1)
Let p(v) = 2*v**2 - 6*v + 4. Let t(y) = y + 1. Let f(s) = -p(s) + 4*t(s). Determine j so that f(j) = 0.
0, 5
Let d(q) be the third derivative of q**6/540 + q**5/90 + q**4/36 + q**3/27 - 6*q**2. Let d(a) = 0. What is a?
-1
Let j(k) be the second derivative of -k**6/30 + k**5/10 + k**4/12 - k**3/3 - 12*k. Factor j(v).
-v*(v - 2)*(v - 1)*(v + 1)
Let d = -2/23 - -56/115. Factor -2/5*i + 0*i**2 + 0 + d*i**3.
2*i*(i - 1)*(i + 1)/5
Suppose -4*l - 2*y + 7 = -y, 4*y + 10 = 3*l. Suppose -9 = -l*d - 3. Solve -2/9*v + 2/9*v**4 + 2/9*v**d + 0 - 2/9*v**2 = 0 for v.
-1, 0, 1
Suppose 4 = z, -3*b + 28 = b + 5*z. Suppose 2*y + 19 = 5*v, 0*y - b*y + 31 = 5*v. Factor 2*w**y - 2*w + 1 - 1.
2*w*(w - 1)*(w + 1)
Let m(q) be the second derivative of q**7/420 - q**6/30 + 3*q**5/20 + q**3 + 7*q. Let f(t) be the second derivative of m(t). What is h in f(h) = 0?
0, 3
Suppose -3*y = 2*i - 8, 0 = 