*p**6 + 0*p**2 + 7/120*p**5 + 0 - 2*p + 1/9*p**4 - 1/9*p**3. Find y such that l(y) = 0.
-1, 0, 2/5, 2
Let r(n) be the second derivative of 2*n**6/15 - 13*n**5/20 + 11*n**4/12 - n**3/3 - 11*n + 3. Find u such that r(u) = 0.
0, 1/4, 1, 2
Factor -16/3 - 4/3*b**2 - 20/3*b.
-4*(b + 1)*(b + 4)/3
Let y(m) be the second derivative of 0*m**2 + 0 + 3*m + 1/24*m**4 + 1/6*m**3. Factor y(t).
t*(t + 2)/2
Let i(n) be the second derivative of -1/3*n**3 + 1/10*n**5 - 1/6*n**4 + 0 + n**2 + 2*n. Find l, given that i(l) = 0.
-1, 1
Suppose -g = 1 - 0. Let u be (-6)/g*2/4. Determine l so that 27*l**2 + 6*l + 9*l**3 - l**3 - 3*l**u + 16*l**3 = 0.
-1, -2/7, 0
Let p(x) be the second derivative of x**8/5040 - x**7/1890 - x**6/540 + x**5/90 + x**4/4 + 6*x. Let h(g) be the third derivative of p(g). Factor h(r).
4*(r - 1)**2*(r + 1)/3
Suppose -a = a - s - 3, 2*a + 6 = -2*s. Let k(u) be the second derivative of 0*u**3 + u + 1/45*u**6 + 0 + 1/15*u**5 + a*u**2 + 1/18*u**4. Factor k(m).
2*m**2*(m + 1)**2/3
Let r(q) be the first derivative of -65*q**6/6 - 37*q**5 - 165*q**4/4 - 35*q**3/3 + 5*q**2 + 40. Factor r(j).
-5*j*(j + 1)**3*(13*j - 2)
Let z(a) be the second derivative of 0*a**2 - 5*a - 3/2*a**4 + 27/20*a**5 + 0 + 1/2*a**3 - 2/5*a**6. Determine l so that z(l) = 0.
0, 1/4, 1
Let j(n) be the third derivative of -n**5/240 - n**4/16 - 3*n**3/8 - 7*n**2. Factor j(i).
-(i + 3)**2/4
Let o(c) be the second derivative of -c**10/11340 + c**9/22680 + 2*c**4/3 - 3*c. Let p(w) be the third derivative of o(w). Factor p(h).
-2*h**4*(4*h - 1)/3
Let d(p) be the third derivative of -p**5/15 + p**4 - 6*p**3 - 10*p**2. Factor d(g).
-4*(g - 3)**2
Let l(u) be the first derivative of -4*u**5/5 - 5*u**4 - 12*u**3 - 14*u**2 - 8*u - 7. Let l(h) = 0. What is h?
-2, -1
Let n(o) be the third derivative of -o**7/105 + o**6/60 - 2*o**2. Factor n(q).
-2*q**3*(q - 1)
Suppose -y = j, -2*y = -2*j + 17 - 5. Let z = y - -5. Factor -3*w + 4*w**3 + 2*w**2 - z + 0 - w**3.
(w - 1)*(w + 1)*(3*w + 2)
Suppose -3*o + 10 = -2*g, 6*o = o + g + 5. Factor -6/7*d**3 + 2/7*d**2 + o*d + 0 - 2/7*d**5 + 6/7*d**4.
-2*d**2*(d - 1)**3/7
Let l(h) be the second derivative of h**7/12600 + h**6/3600 - h**4/12 - h. Let s(g) be the third derivative of l(g). Factor s(x).
x*(x + 1)/5
Let c(w) = w**3 + w**2 - w + 1. Let v = -16 - -20. Let b(f) = -2*f**3 - 2*f**2 + 2*f - 1. Let l(s) = v*b(s) + 6*c(s). Suppose l(q) = 0. Calculate q.
-1, 1
Let n(t) be the first derivative of 1 + 0*t**3 - 2*t + 3/2*t**2 - 1/4*t**4. Solve n(r) = 0.
-2, 1
Let n = 626 - 624. Factor 1/2*d - 1/4*d**n + 0 - 1/4*d**3.
-d*(d - 1)*(d + 2)/4
Let m be (-10)/2 + (5 + 55)/6. Solve -4/3*u**2 + 0 - 5/3*u**m - u**4 + 0*u + 4*u**3 = 0 for u.
-2, 0, 2/5, 1
Let j(i) be the second derivative of i**4/48 + i**3/3 - 10*i. Solve j(d) = 0.
-8, 0
Let w = -1/3 - -5/6. Factor 1/2*v + 1 - w*v**2.
-(v - 2)*(v + 1)/2
Let u(g) = g**2 - 17*g + 3. Let v(q) = -3*q**2 + 35*q - 7. Let j(y) = -7*u(y) - 3*v(y). Find i, given that j(i) = 0.
-7, 0
Solve 0 + 0*w + 6/7*w**3 + 3/7*w**4 - 9/7*w**2 = 0 for w.
-3, 0, 1
Let m(x) = -x + 2. Let q be m(0). Let j be ((-5)/3)/(q/(-3)). What is f in -3/2*f**3 + 2*f**5 - 5/2*f**2 + 0 + j*f**4 - 1/2*f = 0?
-1, -1/4, 0, 1
Let g(q) be the second derivative of q**8/15680 - q**6/1680 + q**4/12 + q. Let r(f) be the third derivative of g(f). Find l, given that r(l) = 0.
-1, 0, 1
Let a = -12/37 - -406/111. Let k(r) be the first derivative of -1/2*r**4 + a*r**3 + 2 - 8*r**2 + 8*r. Factor k(n).
-2*(n - 2)**2*(n - 1)
Let u(r) = -r**2 + 8*r - 9. Let o be u(6). Suppose -2*b - o*b = 5*f + 20, 8 = b - 2*f. Suppose -y**2 + b - y**3 + 2*y - y + 1 = 0. What is y?
-1, 1
Factor 1/2*g**2 + 1/2*g**5 + 0 + 0*g - 1/2*g**3 - 1/2*g**4.
g**2*(g - 1)**2*(g + 1)/2
Let h(r) be the first derivative of 1 + 1/6*r**4 + 4/9*r**3 + 0*r + 1/3*r**2. Determine m so that h(m) = 0.
-1, 0
Let n be 125/165*(-26)/(-5). Let i = -36/11 + n. Factor i*s**2 - 8/3*s + 8/3.
2*(s - 2)**2/3
Factor 1/3*l**2 + 4/3*l + 4/3.
(l + 2)**2/3
Let i(d) be the second derivative of d**7/1260 + d**6/720 - 5*d**4/12 + 5*d. Let f(x) be the third derivative of i(x). Solve f(k) = 0 for k.
-1/2, 0
Let c = 3 + 0. Let -1/2*r**2 + 1/2 - 1/2*r + 1/2*r**c = 0. What is r?
-1, 1
Let f(x) be the first derivative of 0*x**2 + 4/9*x**4 - 4/9*x**3 - 2/15*x**5 + 2/9*x - 2. Let f(g) = 0. Calculate g.
-1/3, 1
Factor 2/7 - 2/7*r**4 + 0*r**2 + 4/7*r**3 - 4/7*r.
-2*(r - 1)**3*(r + 1)/7
Let f(d) = d**2 + d + 1. Let a(h) = 9*h**2 + 2*h + 17. Let r(n) = a(n) - 2*f(n). Let u(q) = q**2 + q + 1. Let i(x) = -r(x) + 6*u(x). Let i(g) = 0. What is g?
3
Let m(h) be the first derivative of -h**5/10 + h**4/2 - h**3/2 - h**2 + 2*h - 4. Determine a so that m(a) = 0.
-1, 1, 2
Let d = 0 - -3. Factor j**4 - 6*j**d + 4*j**3 + j**4.
2*j**3*(j - 1)
Let l(v) be the second derivative of 3/20*v**5 + 0 + 1/4*v**4 - 1/10*v**6 + 0*v**3 - 2*v + 0*v**2 - 1/14*v**7. Determine w, given that l(w) = 0.
-1, 0, 1
Let i(j) be the first derivative of 2 + 1/2*j**4 + 10/3*j**3 + 8*j + 8*j**2. Suppose i(h) = 0. Calculate h.
-2, -1
Factor -4/3*i + 0 - 50/3*i**3 - 10*i**2.
-2*i*(5*i + 1)*(5*i + 2)/3
Let c be (-7 - -3)*1/(-2). Let o(a) be the second derivative of 0*a**4 - 2*a + 0*a**c + 0*a**3 + 0 + 1/80*a**5. Factor o(k).
k**3/4
Factor 2/5*y**2 + 2/5 - 4/5*y.
2*(y - 1)**2/5
Let p(t) be the first derivative of -4*t**3/9 + 4*t**2/3 + 6. Factor p(q).
-4*q*(q - 2)/3
Let d be (-1)/(2/(-4)) + 0. Suppose -5*r + 10 + 0 = 5*f, 0 = 2*r + 5*f + d. Factor 0*c + 18/5*c**3 + 0 - 8/5*c**r - 4/5*c**2.
-2*c**2*(c - 2)*(4*c - 1)/5
Factor 0*r**2 + 0 - 1/8*r**4 - 1/2*r + 3/8*r**3.
-r*(r - 2)**2*(r + 1)/8
Let g(n) be the third derivative of -n**7/6300 - n**6/900 - n**4/24 + 2*n**2. Let w(o) be the second derivative of g(o). Determine f, given that w(f) = 0.
-2, 0
Suppose 3*g = 5*w + 6, -4*g + 8*g = -3*w + 8. Let 0*j + g*j**4 + 0*j + 2*j**2 + 0*j - 4*j**3 = 0. What is j?
0, 1
Suppose 9*n = -7*n + 4*n. Factor n*d - 2/5*d**4 - 2/5*d**3 + 0*d**2 + 0.
-2*d**3*(d + 1)/5
Let g = -1/6 - -2/3. Let n = 0 + g. Factor 0 + 1/4*f**2 - n*f.
f*(f - 2)/4
Suppose -2*v + 2 + 16 = -5*i, -5*i = 0. Suppose -5*s**4 - 2*s**4 - v*s + 3*s + 6*s**3 + 12*s**2 - 3 - 2*s**4 = 0. Calculate s.
-1, -1/3, 1
Let r(p) be the first derivative of -2*p**3/27 - 2*p**2/3 + 14*p/9 + 29. Factor r(t).
-2*(t - 1)*(t + 7)/9
Let o(p) = p**2 + 3*p - 2. Let y(d) = -d**2 - 2*d + 3. Let h(r) = -3*o(r) - 2*y(r). Factor h(a).
-a*(a + 5)
Let o(s) be the first derivative of s**8/2310 + s**7/4620 + 4*s**3/3 - 4. Let f(n) be the third derivative of o(n). Factor f(p).
2*p**3*(4*p + 1)/11
Let r(b) = 9*b**3 - 19*b**2 - 8*b - 8. Let o(m) = -3*m**3 + 6*m**2 + 3*m + 3. Let j(d) = -8*o(d) - 3*r(d). What is p in j(p) = 0?
0, 3
Let h(p) be the third derivative of p**9/5040 - p**8/6720 - p**5/12 - 3*p**2. Let n(j) be the third derivative of h(j). Factor n(l).
3*l**2*(4*l - 1)
Let a(m) be the second derivative of 2*m + 1/20*m**6 - 1/6*m**3 - 1/6*m**4 + 1/4*m**2 + 1/20*m**5 + 0. Solve a(q) = 0.
-1, 1/3, 1
Let p = -126 + 379/3. Factor -1/6*s**5 + 0*s - 1/6*s**3 + 0 + 0*s**2 - p*s**4.
-s**3*(s + 1)**2/6
What is v in 0*v + 0 + 2/5*v**2 = 0?
0
Suppose -5*b = -4*b. Let b - 5/2*h**2 - 1/2*h**4 + h + 2*h**3 = 0. Calculate h.
0, 1, 2
Let b(l) = l**2 + 5*l. Let o be b(-5). Suppose -4 = 2*r + 2, -h - 2*r - 4 = o. What is k in 0*k + 1/3*k**5 + 0*k**h + 2/3*k**4 + 0 + 0*k**3 = 0?
-2, 0
Suppose -3*s + 6*s - 6 = 0. Let o be 10/(-1)*(-6)/15. Suppose 4 - o - n**s + n**4 = 0. Calculate n.
-1, 0, 1
Let w(o) = o - 4. Let a be w(6). Suppose 4*z - a*z - 8 = 0. Suppose -2/5*h + 12/5*h**3 + 7/5*h**z + 3/5*h**2 + 0 = 0. What is h?
-1, 0, 2/7
Let g(w) be the first derivative of -23*w**3/3 - 11*w**2/2 - 7*w - 5. Let h(p) = -3*p - 4*p + p - 4 - 12*p**2. Let s(k) = -4*g(k) + 7*h(k). Factor s(i).
2*i*(4*i + 1)
Let z(i) = -i**3 - i**2 + 1. Let v(c) = 2*c**3 + 4*c**2 + 2*c - 3. Let a(h) = -v(h) - 3*z(h). Solve a(m) = 0 for m.
-1, 0, 2
Let f(u) be the third derivative of -u**6/40 + u**5/20 + u**4/8 - u**3/2 - 5*u**2. Factor f(i).
-3*(i - 1)**2*(i + 1)
Let k(b) be the second derivative of b**4/18 - 2*b**3/3 + 3*b**2 + 7*b. Factor k(i).
2*(i - 3)**2/3
Let f(p) be the second derivative of 3*p**5/100 - 3*p**3/10 - 3*p**2/5 - 2*p. Factor f(n).
3*(n - 2)*(n + 1)**2/5
Determine q so that -6*q**2 - 12*q - 19 + 