of 6*x**2 + 0*x - 1/3*x**3 + 0 + 3/20*x**5 + 7/24*x**4. Determine v, given that p(v) = 0.
-1, 2/9
Let n be 18/(-126) - (-110)/84. Let z(h) be the first derivative of 4/9*h**3 + 4 - 1/3*h**4 + 2/3*h + n*h**2. Suppose z(g) = 0. Calculate g.
-1/2, 2
Let j(w) be the second derivative of -2*w + 0*w**2 + 2*w**5 + 28/15*w**6 - 1/6*w**4 + 0 - 2/3*w**3. Factor j(b).
2*b*(2*b + 1)**2*(7*b - 2)
Let v be 8/36 + 1/(-1260). Let x = v - -5/28. Factor -1/5 + 3/5*r**2 + x*r.
(r + 1)*(3*r - 1)/5
Let f(v) be the first derivative of v**3 - 3*v - 3. Factor f(p).
3*(p - 1)*(p + 1)
Let n = 13 - 10. Let m(v) be the second derivative of 0*v**n + 0*v**5 - 1/15*v**6 + 0 + 1/6*v**4 + 2*v + 0*v**2. Factor m(j).
-2*j**2*(j - 1)*(j + 1)
Suppose 4*l + 3*w - 17 = 0, 0 = 2*l - 2*w - 3*w - 41. Factor -l*v**2 - 3*v - 7*v**3 + v - 2*v + 2*v**3 - v**4.
-v*(v + 1)*(v + 2)**2
Let f(u) be the third derivative of -u**6/60 + u**4/3 + 3*u**2. Suppose f(a) = 0. What is a?
-2, 0, 2
What is j in -112 - 2*j**2 + 142 - 5*j - 5*j**2 + 2*j**2 = 0?
-3, 2
Solve 0*g - 1/8*g**3 + 0 - 3/8*g**2 = 0.
-3, 0
Let r(z) be the first derivative of -z**4/10 + 8*z**3/15 - 3*z**2/5 - 21. Determine i so that r(i) = 0.
0, 1, 3
Suppose 63 = -56*d + 77*d. Suppose -24/5*w + 22/5*w**d - 4/5*w**2 + 16/5 + 2/5*w**5 - 12/5*w**4 = 0. Calculate w.
-1, 1, 2
Let u(h) be the first derivative of -h**4 + 4*h**3 + 2*h**2 - 12*h + 26. Factor u(a).
-4*(a - 3)*(a - 1)*(a + 1)
Suppose 2*c = -c + 3. Suppose -2*t + 3*t = c. Let 24*m**4 + 11/2*m - 5/2*m**2 + t - 28*m**3 = 0. Calculate m.
-1/4, 2/3, 1
Let z(w) be the third derivative of -1/60*w**6 + 0 + 0*w**4 + 1/168*w**8 + 1/90*w**5 - 1/315*w**7 + w**2 + 0*w + 0*w**3. Solve z(j) = 0.
-1, 0, 1/3, 1
Let k = 9 + -6. Suppose -2*q + 5*x + 19 = 0, -x = k*q + x. Factor -1/2*i + 1/4 + 1/2*i**3 + 0*i**q - 1/4*i**4.
-(i - 1)**3*(i + 1)/4
Suppose -2/5 + 2/5*y**2 - 2/5*y**3 + 2/5*y = 0. Calculate y.
-1, 1
Let z(b) be the second derivative of b**6/330 - b**5/330 - b**4/132 + b**2/2 - 3*b. Let i(h) be the first derivative of z(h). Factor i(t).
2*t*(t - 1)*(2*t + 1)/11
Let v(a) be the second derivative of -2*a**6/165 - a**5/22 + 5*a**3/33 + 2*a**2/11 + 7*a. Let v(q) = 0. Calculate q.
-2, -1, -1/2, 1
Let b(r) = -10*r**3 + r**2. Let u(z) = z**3. Let a(w) = 2*b(w) + 18*u(w). Determine v, given that a(v) = 0.
0, 1
Let d(a) be the third derivative of 0*a**3 + 4*a**2 - 1/30*a**5 + 0*a + 0 + 1/12*a**4. Find c such that d(c) = 0.
0, 1
Find w, given that -2/13*w**4 + 2/13*w**2 + 0 - 2/13*w + 2/13*w**3 = 0.
-1, 0, 1
Let m be ((-18)/(-120))/((-6)/(-10)). Factor -m*z**4 - 1/2*z + 1/4 + 1/2*z**3 + 0*z**2.
-(z - 1)**3*(z + 1)/4
Let g be -4*(6/16)/((-147)/28). Factor 0 + 2/7*f + g*f**2.
2*f*(f + 1)/7
Let d = 9 - 5. Let 2*z**2 + 2*z**2 - 4*z**d - 2 + 2*z**4 = 0. What is z?
-1, 1
Let o = 4 - 4. Let b(n) = -n + 2. Let s be b(o). Let z(q) = -5*q**2 - q - 2. Let a(c) = 4*c**2 + 2*c + 2. Let w(f) = s*z(f) + 3*a(f). What is r in w(r) = 0?
-1
Let b(x) be the first derivative of 3/7*x**2 + 6 + 1/21*x**6 + 4/7*x - 2/7*x**4 - 4/21*x**3 + 0*x**5. Determine t so that b(t) = 0.
-1, 1, 2
Suppose 0 = -2*h - 2*y + 6 + 6, -y + 27 = 4*h. Suppose h*p - 4 = 5*p. Factor 14/3*v**p + 8/3*v**3 + 4/3*v - 2/3.
2*(v + 1)**2*(4*v - 1)/3
Let 0 + 0*u**2 - 6/7*u**3 - 2/7*u**4 + 8/7*u = 0. What is u?
-2, 0, 1
Let k(z) be the third derivative of z**6/100 - 7*z**5/150 - z**4/10 - 9*z**2. Find u, given that k(u) = 0.
-2/3, 0, 3
What is j in -72/7 - 2/7*j**2 + 24/7*j = 0?
6
Let q(b) be the second derivative of -1/24*b**3 + 0 - 6*b + 1/8*b**2 + 1/80*b**5 - 1/48*b**4. Factor q(f).
(f - 1)**2*(f + 1)/4
Let h(x) = 3*x**2 + x - 2. Let i be h(1). Factor 40*w**i - 4 - 2*w + 2*w - 39*w**2.
(w - 2)*(w + 2)
Let x be 5*((-1)/1 + 2). Suppose -3*u - 5*q + 24 = 0, 2*u - x*u + 5*q = 6. Solve -u*w**5 + 2*w**5 + 3*w**5 - 2*w**3 = 0.
-1, 0, 1
Let g(b) be the second derivative of b**4/60 - 2*b**3/15 + 2*b**2/5 + 20*b. Let g(j) = 0. What is j?
2
Find f, given that -8/3*f**3 + 0 - 12*f**5 - 44/3*f**4 + 0*f**2 + 0*f = 0.
-1, -2/9, 0
Let j(p) be the first derivative of p**4/18 + 5*p**3/18 + p**2/3 - p - 1. Let h(i) be the first derivative of j(i). Solve h(w) = 0 for w.
-2, -1/2
Suppose 3 = y - 1. Factor -y*d**2 + 0*d**2 + 1 + 3*d**2.
-(d - 1)*(d + 1)
Suppose 0*g = -4*g. Suppose g = -4*d + 5*p + 13, p - 2 = d + 5*p. Factor -s**d + 0*s**3 + s**4 + 1/2*s + 0 - 1/2*s**5.
-s*(s - 1)**3*(s + 1)/2
Let l(k) be the third derivative of -4*k**2 + 0*k - 1/840*k**8 - 1/175*k**7 + 0*k**4 + 0*k**3 - 1/100*k**6 - 1/150*k**5 + 0. Find n such that l(n) = 0.
-1, 0
Suppose 2*h = 4*k - 2 - 4, -h + k - 3 = 0. Let g = h - -5. Solve 2*x**2 + 5/2*x**4 + 0 + 13/2*x**3 - g*x = 0.
-2, -1, 0, 2/5
Let b(a) = a**3 - 32*a**2 - 9. Let r(p) = 16*p**2 + 4. Let y(h) = -4*b(h) - 9*r(h). Factor y(s).
-4*s**2*(s + 4)
Let q(i) = -3*i**2 - 3*i - 2. Let u(b) = -b**2 - b - 1. Suppose 0 + 6 = -3*p. Let d(l) = p*u(l) + q(l). Factor d(v).
-v*(v + 1)
Let b be 0/(12/9*(-6)/4). Let z(v) be the first derivative of -3/4*v**4 - v**3 + b*v + 3/2*v**2 + 3/5*v**5 - 1. Let z(y) = 0. Calculate y.
-1, 0, 1
Suppose 71 = -4*x + 31. Let a be 1/(-6) - x/6. Factor 3 - 3/2*d**2 + a*d.
-3*(d - 2)*(d + 1)/2
Suppose -g - 1 = 3*h + g, 3*h - 13 = 5*g. Let q(p) be the first derivative of 1/12*p**4 - 1/3*p**3 + 0*p**2 + 4/3*p + h. Factor q(v).
(v - 2)**2*(v + 1)/3
Let v be (-1)/(-1 - (-4)/5). Factor -r**v - r**2 + r**2 + 3*r**3 + 2*r**2.
-r**2*(r - 2)*(r + 1)**2
Suppose -y + 3 = 0, 2*y - 3*y - 12 = -5*z. Let d(h) be the third derivative of 0*h**4 + h**2 - 1/120*h**6 + 0*h**5 + 0*h**z + 0*h + 0. Let d(n) = 0. What is n?
0
Let f(u) be the first derivative of 2*u - 2/5*u**5 - u**4 + 2*u**2 - 4 + 0*u**3. Factor f(z).
-2*(z - 1)*(z + 1)**3
Let p(f) be the third derivative of f**7/210 - f**6/20 + f**5/5 - 5*f**4/12 + f**3/2 - 15*f**2. Suppose p(z) = 0. What is z?
1, 3
Let n(q) = q**2 + 5*q - 24. Let y be n(3). Factor 3/4*u**2 + y + 9/8*u**3 + 0*u**4 - 3/8*u**5 + 0*u.
-3*u**2*(u - 2)*(u + 1)**2/8
Let i(h) be the third derivative of -1/220*h**6 + 0*h**3 + 0*h**4 + 1/165*h**5 + 1/1155*h**7 - 8*h**2 + 0*h + 0. Factor i(v).
2*v**2*(v - 2)*(v - 1)/11
Suppose 3*m - 10 = 6*m + 4*i, 0 = 2*m - 4*i. Let n be 3 + m + 4/(-12). Determine p so that 0*p**2 + 0 + 0*p + p**5 + 1/3*p**4 - n*p**3 = 0.
-1, 0, 2/3
Let q(y) = -y**3 + 3*y**2 - 2*y. Let b = -4 - -3. Let n(p) = -p**3 + p**2 - p. Let x(s) = b*q(s) + 2*n(s). Factor x(h).
-h**2*(h + 1)
Let c(h) = -3*h**3 + 6*h**2 - 3*h. Let t(x) = 8*x**3 - 17*x**2 + 8*x. Let q(f) = 11*c(f) + 4*t(f). Suppose q(m) = 0. What is m?
-1, 0
Let c(i) = -i**2 + 2*i + 2. Let n be c(0). Let r(v) be the first derivative of -4/35*v**5 + 2 + 0*v + 3/14*v**4 - 1/7*v**n + 0*v**3. Factor r(o).
-2*o*(o - 1)**2*(2*o + 1)/7
Let o(c) be the first derivative of -2/5*c**5 - 2*c + 0*c**2 + 0*c**4 + 4/3*c**3 - 4. Factor o(l).
-2*(l - 1)**2*(l + 1)**2
Factor 254*a**3 + a**4 - 20*a - 15 + 10*a**2 + 4*a**4 - 234*a**3.
5*(a - 1)*(a + 1)**2*(a + 3)
Suppose -2*v**3 - 1/2*v**4 + 3/2 + 2*v - v**2 = 0. What is v?
-3, -1, 1
Let n be 3 + -1 + 2 + 15/(-4). Determine k, given that n*k + 0 - 1/4*k**2 = 0.
0, 1
Let s(c) = 2*c**2 - 2*c - 4. Let n(a) = -2*a**2 + 2*a + 4. Let p(q) = -q**2 - 12*q - 8. Let m be p(-11). Let v(y) = m*n(y) + 4*s(y). Factor v(l).
2*(l - 2)*(l + 1)
Let m(f) be the first derivative of -2*f**5/25 + 4*f**3/15 - 2*f/5 + 16. Factor m(g).
-2*(g - 1)**2*(g + 1)**2/5
Let h(x) be the second derivative of -x**5/10 - x**4/3 + 3*x. Find w, given that h(w) = 0.
-2, 0
Let s(v) be the second derivative of -1/10*v**4 + 1/75*v**6 - 1/25*v**5 + 2*v + 4/5*v**2 + 0 + 4/15*v**3. What is g in s(g) = 0?
-1, 2
Suppose -2*d + 4*d - 5*n = 9, 0 = 2*n - 6. Suppose 0 = -4*i, -6*t - i = -2*t - d. Factor 0*z**4 - 4/5*z**t + 2/5*z**5 + 0 + 2/5*z + 0*z**2.
2*z*(z - 1)**2*(z + 1)**2/5
Suppose 6*r = r + 40. Suppose r*b - 12 = 5*b. Factor -2/3*i**2 + 0*i + 0 + 4/3*i**3 - 2/3*i**b.
-2*i**2*(i - 1)**2/3
Let h be 1/6*(-4)/(-1). Find d, given that 0*d**4 + 0 + h*d**3 + 0*d**2 + 0*d - 2/3*d**5 = 0.
-1, 0, 1
Let r(n) be the third derivative of n**7/210 + n**6/60 - n**5/15 - n**4/12 + n**3/2 - 2*n**2. Factor r(v).
(v - 1)**2*(v + 1)*(v + 3)
Let m(k) be the third derivative of -1/3*k**3 + 0 - 1/12*k**4 + 1/30*k**5 + 3*k**2 + 0*k + 1/60*k**6. Factor m(v).
2*(v - 1)*(v + 1)**2
Le