ative of -5*p**2 + 0*p - 1/60*p**4 + 0 + 0*p**3 - 1/150*p**5. Factor k(d).
-2*d*(d + 1)/5
Find x such that -4/19*x + 2/19 + 2/19*x**2 = 0.
1
Let d(n) be the first derivative of -2*n**5/45 + n**4/9 - 2*n**3/27 + 3. Solve d(g) = 0 for g.
0, 1
Let b(g) = 70*g**3 - 295*g**2 - 155*g + 125. Let n(v) = -5*v**3 + 21*v**2 + 11*v - 9. Let y(w) = 6*b(w) + 85*n(w). Let y(x) = 0. Calculate x.
-1, 1, 3
Let g(h) be the first derivative of 0*h + h**3 - 3*h**2 + 3 + 3/4*h**4. What is a in g(a) = 0?
-2, 0, 1
Let c(r) = r**2 + r + 2. Let d(x) = x**2 + x + 3. Let o(i) = -3*c(i) + 2*d(i). Suppose o(g) = 0. What is g?
-1, 0
Let m(v) be the first derivative of -v**7/840 - v**6/90 - v**5/30 + 2*v**3/3 + 2. Let q(w) be the third derivative of m(w). Factor q(j).
-j*(j + 2)**2
Let z(y) = 12*y**3 - 41*y**2 - 17. Suppose -3*j + 5*m = -3, -j - 5*m + 33 = 2*j. Let l(o) = 4*o**3 - 14*o**2 - 6. Let h(i) = j*z(i) - 17*l(i). Factor h(x).
4*x**2*(x - 2)
Let o(a) be the first derivative of a**7/525 - a**5/150 + a**2 - 8. Let w(x) be the second derivative of o(x). Suppose w(s) = 0. Calculate s.
-1, 0, 1
Let v(q) be the first derivative of q**3/7 - 3*q**2/7 + 3*q/7 + 2. Find t, given that v(t) = 0.
1
Let q(a) be the third derivative of 0*a + 0*a**6 - 1/280*a**7 + 0*a**3 + 0*a**4 - a**2 + 1/80*a**5 + 0. Factor q(i).
-3*i**2*(i - 1)*(i + 1)/4
Let u be (-16)/(-7) + 2/(-7). Suppose o + o**2 - o - 2*o**u + o = 0. What is o?
0, 1
Suppose 5*n + d - 67 = 0, 0 = 2*n - 7*n + 5*d + 55. Suppose -4*b + 1 + n = s, -3*b + 9 = 0. Suppose 0*t**s + 0 + 0*t + 1/2*t**3 = 0. Calculate t.
0
Let x(v) be the third derivative of v**7/3360 + v**6/480 + v**5/160 + v**4/96 - v**3/6 - 3*v**2. Let s(f) be the first derivative of x(f). Solve s(u) = 0 for u.
-1
Let a(r) be the second derivative of -2/39*r**3 + 0*r**2 + 1/273*r**7 + 3*r - 5/78*r**4 + 1/195*r**6 + 0 - 3/130*r**5. Factor a(d).
2*d*(d - 2)*(d + 1)**3/13
Let l = 7 - 3. Factor 6*t**5 - 4*t**5 - 4*t**2 + 2*t**l + 1 + 1 - 4*t**3 + 2*t.
2*(t - 1)**2*(t + 1)**3
Let b = 3 + -1. Factor -l**2 + l - 1 + b*l**2 - l.
(l - 1)*(l + 1)
Let g(b) = b + 1. Let i be g(4). Suppose -20 = -i*x - 5. Factor -t**2 + 0*t**3 - t + t**3 + 0*t**x + 1.
(t - 1)**2*(t + 1)
Let i(j) = -17*j**3 - 13*j**2 + 9*j + 5. Let d(g) = 6*g**2 - 4*g + 12 - 14 + 0*g + 8*g**3. Let h(o) = -5*d(o) - 2*i(o). Find r, given that h(r) = 0.
-1, 0, 1/3
Let u be 8/(-54)*(-6)/80. Let r(f) be the second derivative of 2*f + u*f**6 + 0 - 1/6*f**2 - 1/9*f**3 + 0*f**4 + 1/30*f**5. Let r(v) = 0. What is v?
-1, 1
Let k(a) = -a**3 + 3*a**2 + 6*a - 4. Let w be k(4). Let l be (-10)/(-4)*8/10. Let -w*b**4 - l*b**2 + 2*b**5 + 6*b**4 - b - b**5 = 0. Calculate b.
-1, 0, 1
Determine k so that 1/2*k**2 + 0*k + 0 = 0.
0
Let b = -19 + 21. Let l be -1 + 2/((-2)/(-3)). Factor b*m + 1 - 3 - 1 + l*m**2 - 1.
2*(m - 1)*(m + 2)
Let w(d) be the second derivative of -5*d**7/6 + 11*d**6/2 - 39*d**5/4 + 35*d**4/12 + 5*d**3 - 4*d - 1. Let w(r) = 0. Calculate r.
-2/7, 0, 1, 3
Let b(f) be the second derivative of f**7/14 + f**6/10 - 3*f**5/10 - f**4/2 + f**3/2 + 3*f**2/2 + 4*f. Factor b(k).
3*(k - 1)**2*(k + 1)**3
Let n = -48 - -51. Let o(g) be the second derivative of 0 + 0*g**2 - 2*g - 3/20*g**4 + 1/15*g**n + 1/10*g**5 - 1/50*g**6. Factor o(v).
-v*(v - 2)*(v - 1)*(3*v - 1)/5
Let s be 76/(-80) + (-6)/(-6). Let g(t) be the first derivative of 0*t**3 + 2 - 1/10*t**2 + 0*t + s*t**4. Factor g(c).
c*(c - 1)*(c + 1)/5
Let j(u) = 3*u**4 + u**3 - 12*u**2 + 2*u + 2. Let y(l) = -6*l**4 - 3*l**3 + 24*l**2 - 3*l - 5. Let i(s) = 5*j(s) + 2*y(s). Factor i(q).
q*(q - 2)*(q + 2)*(3*q - 1)
Let z(y) be the first derivative of -y**4/12 + 2*y**3/9 - y**2/6 + 1. Solve z(l) = 0 for l.
0, 1
Let c(m) be the first derivative of 2*m**3/11 - 5*m**2/11 - 4*m/11 - 18. Factor c(j).
2*(j - 2)*(3*j + 1)/11
Factor 3/2*v**4 + 9/2 + 3*v**3 - 3*v - 6*v**2.
3*(v - 1)**2*(v + 1)*(v + 3)/2
Suppose 2*v + k = 3, 9 = 3*v + v - k. Factor -a**3 - v - a - 4*a**2 + 0 - 5*a + a.
-(a + 1)**2*(a + 2)
Let q(j) be the second derivative of 1/12*j**4 - j + 1/9*j**3 - 1/6*j**2 + 0. Factor q(d).
(d + 1)*(3*d - 1)/3
Factor -44/7*r**2 + 242/7*r + 2/7*r**3 + 0.
2*r*(r - 11)**2/7
Let c = 6 - 3. Suppose c*k - 1 = 14. Determine z, given that 8 + 6 - 3*z**2 - k + 6*z = 0.
-1, 3
Let a = 137/14 - 65/7. Let 0*y + 0 + a*y**2 + 1/4*y**3 = 0. Calculate y.
-2, 0
Let q(u) = -u**3 + 7*u**2 + 4*u - 3. Suppose 3*c - c = 14. Let b be q(c). Factor 1 + 33/2*i**3 + b*i**2 + 19/2*i.
(i + 1)*(3*i + 1)*(11*i + 2)/2
Let o = 0 - -3. What is b in 3*b**3 - o*b + 2*b - b - b**3 = 0?
-1, 0, 1
Let j(k) be the third derivative of k**5/210 - 2*k**4/21 + 16*k**3/21 + 53*k**2. What is f in j(f) = 0?
4
Let z = -491/2 + 246. Factor -1/4*h**5 + 0 + 0*h**3 + 1/2*h**2 - z*h**4 + 1/4*h.
-h*(h - 1)*(h + 1)**3/4
Suppose 9 = r + 2*r. Factor -6/7*w + 2/7 - 2/7*w**r + 6/7*w**2.
-2*(w - 1)**3/7
Let b be 4/(-10) + (-32)/(-30). Factor b*y + 1/3*y**2 + 0.
y*(y + 2)/3
Let q(m) = m**3 - 3*m + 7*m**2 + m + 2*m. Let y be q(-7). Factor -2/5*k + y*k**2 + 0*k**4 + 4/5*k**3 + 0 - 2/5*k**5.
-2*k*(k - 1)**2*(k + 1)**2/5
Determine w, given that -8/9*w**4 + 2/3*w**2 + 10/9*w**3 + 2/9 - 10/9*w = 0.
-1, 1/4, 1
Suppose 42 = -5*m + 17. Let c = m - -7. Factor 0*f**c + f**2 - f**4 - 3*f**3 + 2*f**3 + f.
-f*(f - 1)*(f + 1)**2
Let j = -3358/7 - -480. Find i such that 4/7*i**2 + 0*i + 0*i**3 - 2/7 - j*i**4 = 0.
-1, 1
Let w(y) = -y**3 + 22*y**2 + 21*y + 48. Let q be w(23). Let b(h) be the second derivative of 0*h**q + 4*h + 1/18*h**4 - 2/9*h**3 + 0. Factor b(i).
2*i*(i - 2)/3
Suppose 2*o - 2 = -2*u - 4, u = -2*o + 2. Suppose -2 = -o*b + 4. Determine g, given that g - b*g**2 + 0*g + g + 4 = 0.
-1, 2
Let d(j) be the first derivative of -j**4/10 + j**2/5 + 3. Find t, given that d(t) = 0.
-1, 0, 1
Suppose 3*q = -4 + 25. Let h(l) = -l**2 + 7*l + 2. Let y be h(q). Factor -3 + 5 - 8*b - 2*b + 8*b**y.
2*(b - 1)*(4*b - 1)
Let s = 9 + -11. Let l be (-4)/s + (-4)/8. Solve -1/2 - 1/2*b + b**4 + l*b**2 + 5/2*b**3 = 0.
-1, 1/2
Let z be (-14)/2 + (-141)/(-15). Find b, given that 0*b + 0 - 12/5*b**3 + z*b**4 - 3/5*b**5 + 0*b**2 = 0.
0, 2
Let c be 5/(-15) + 7/3. Suppose 4*w**2 + 20*w + 14*w**2 + 4*w**3 - 2*w**c + 8 = 0. Calculate w.
-2, -1
Let x(w) be the first derivative of w**3 - 2*w**2 + 3*w + 2. Let n be x(3). Factor -12*u + n*u**2 - 9*u**3 + 8/3.
-(3*u - 2)**3/3
Suppose 0 = w - 5*w + 8. Let n = 13 + -10. Suppose -2*y**w + 6*y**n - 6*y**4 - 2*y**5 + 0*y**5 + 4*y**5 = 0. Calculate y.
0, 1
Suppose 4*j + 2*y = 3 + 17, -j + 3*y - 2 = 0. Let u(l) = -7*l**3 - 10*l**2 + l. Let t(q) = -15*q**3 - 21*q**2 + 3*q. Let w(v) = j*t(v) - 9*u(v). Factor w(f).
3*f*(f + 1)**2
Let i(o) be the second derivative of -2*o**6/15 + o**5 - 7*o**4/3 + 2*o**3 - o. Determine g, given that i(g) = 0.
0, 1, 3
Let t(q) be the second derivative of q**6/300 - q**5/50 - 3*q**2 + q. Let p(b) be the first derivative of t(b). Factor p(y).
2*y**2*(y - 3)/5
Let n = 13/6 + -3/2. Let j = -89/3 - -30. Factor -n*o + j*o**2 + 1/3.
(o - 1)**2/3
Let r(j) = -j**2 - 7*j + 2. Let x(g) = -2*g - 22. Let p be x(-15). Let n(v) = 2*v**2 + 20*v - 6. Let l(f) = p*r(f) + 3*n(f). Solve l(z) = 0 for z.
1
Let k(b) be the second derivative of -1/6*b**3 + 0 + 2/15*b**6 + 0*b**2 + 1/3*b**4 - 1/42*b**7 - 4*b - 3/10*b**5. Factor k(y).
-y*(y - 1)**4
Let k(j) = -j**3 - 4*j**2 + 5*j + 4. Let i be k(-5). Let y = -4 + i. Factor 0*w**3 + 0*w**2 + 1/2*w**4 + y + 0*w.
w**4/2
Let f(n) be the first derivative of 2/27*n**3 - 2/9*n - 1 + 0*n**2. Factor f(a).
2*(a - 1)*(a + 1)/9
Determine s, given that -1/7*s**5 + 2/7*s**4 + 0 + 0*s**3 - 2/7*s**2 + 1/7*s = 0.
-1, 0, 1
What is d in 3/2*d - 3/4*d**2 - 9/4*d**3 + 3/4*d**5 + 0 + 3/4*d**4 = 0?
-2, -1, 0, 1
Let w(t) = -t**3 + 2*t**2 + 2. Let c be w(2). Let j = 3 - c. Solve -k**4 + k**2 + k + 6*k**5 - j + k**2 - 2*k**3 - 5*k**5 = 0.
-1, 1
Let i(q) be the first derivative of -q**3/9 - q**2/2 + 4*q/3 + 43. Determine w, given that i(w) = 0.
-4, 1
Let o(r) be the first derivative of -2*r**3/27 + 2*r**2/9 - 2*r/9 - 12. What is c in o(c) = 0?
1
Let x(q) be the second derivative of 3*q**5/10 + 4*q**4/3 + q**3 - 2*q**2 - 10*q. Factor x(a).
2*(a + 1)*(a + 2)*(3*a - 1)
Let w(k) = 6*k**3 - 6*k**2 + 4*k - 14. Let a(j) = j**3 - j**2 - 1. Let i = -16 + 17. Let y(f) = i*w(f) - 10*a(f). Solve y(d) = 0 for d.
-1, 1
Let 0 +