tive of 2/7*d**7 + 2*d**2 + 1/15*d**6 - 11/10*d**5 + 5/3*d**3 - d - 1/2*d**4 + 0. Determine h so that x(h) = 0.
-1, -2/3, -1/2, 1
Let t(c) = c**2 + c. Let g(x) = x**5 - 2*x**3 + 6*x**2 + 7*x. Let h(v) = -g(v) + 6*t(v). Determine n so that h(n) = 0.
-1, 0, 1
Let a(r) = -4*r + 1. Let f be a(1). Let j(m) = m**3 + 3*m**2 - 2*m - 3. Let g be j(f). Determine w, given that 4*w**3 - g*w**3 + w**3 - 2*w**4 = 0.
0, 1
Let i(c) = 4*c**2 + 20*c - 3. Let m(x) = 8*x**2 + 40*x - 5. Let k(g) = -5*i(g) + 3*m(g). Factor k(t).
4*t*(t + 5)
Solve m**2 + 29*m**2 - 75*m - 5*m**3 - 4*m**3 + 6*m**3 = 0 for m.
0, 5
Let y(p) be the second derivative of -p**4 + 0 + 2/5*p**5 - 1/15*p**6 + 4/3*p**3 - p**2 + 3*p. Let y(t) = 0. What is t?
1
Suppose 3*b = -5*p - 6, -5*b + 4*b + 2*p = -9. Factor -b - w**2 - 5*w**2 - 9*w + 0 + 0.
-3*(w + 1)*(2*w + 1)
Factor 15*b + 3*b**4 - 4 - b**4 - 6*b**2 - 5*b - 2*b**3.
2*(b - 1)**3*(b + 2)
Let a(p) = -4*p**3 - 2*p**2 + 2*p + 1. Let r be a(-2). Let b = r + -61/3. Factor 0*o**2 + 4/3*o**4 + 0 + 0*o + 2/3*o**5 + b*o**3.
2*o**3*(o + 1)**2/3
Let j(g) = -g**3 + 10*g**2 - 9*g + 12. Let k be j(9). Let i(p) = p**2 - 13*p + 12. Let x be i(k). Factor x*h + 0*h**4 + 2/3*h**3 - 2/3*h**5 + 0 + 0*h**2.
-2*h**3*(h - 1)*(h + 1)/3
Let s(j) = 5*j**4 - 12*j**3 + 6*j. Let f(q) = -6*q**4 + 13*q**3 - 7*q. Let z(r) = -6*f(r) - 7*s(r). Factor z(v).
v**3*(v + 6)
Factor 0 + 0*n**3 + 1/2*n**5 + 0*n + 0*n**2 + 1/2*n**4.
n**4*(n + 1)/2
Let w(p) be the third derivative of -p**8/672 + p**6/60 + p**5/60 - p**4/16 - p**3/6 + 2*p**2. Factor w(u).
-(u - 2)*(u - 1)*(u + 1)**3/2
Determine k, given that -1/2*k**2 + 1/2 - 1/4*k**3 + 1/4*k = 0.
-2, -1, 1
Let d(r) be the second derivative of -r**3/2 + 2*r. Let s be d(-1). Suppose 1/3*z**s + 4/3*z - 4/3*z**2 + 0 = 0. Calculate z.
0, 2
Let p(m) be the second derivative of -m**5/270 - m**4/27 - 4*m**3/27 + 3*m**2 + 5*m. Let l(i) be the first derivative of p(i). Factor l(n).
-2*(n + 2)**2/9
Let l(x) = 2*x**3 + 8*x**2 + 6. Let d(u) = -3*u + 13 + 3*u + 5*u**3 - u**3 + 17*u**2. Let b(j) = -6*d(j) + 13*l(j). What is g in b(g) = 0?
-1, 0
Let g(c) = -c**3 - c**2 - c - 1. Let x(t) = 3*t**3 + 2*t**2 + 4*t + 4. Let h(y) = 12*g(y) + 3*x(y). Factor h(k).
-3*k**2*(k + 2)
Let k(o) be the third derivative of -o**6/420 + o**5/105 - o**4/84 + 9*o**2. Let k(z) = 0. What is z?
0, 1
Solve 12/5*z + 12/5 - 3/5*z**4 - 9/5*z**2 - 12/5*z**3 = 0 for z.
-2, -1, 1
Let c(k) be the second derivative of -k**9/15120 - k**8/3360 + k**6/360 + k**5/120 + k**4/3 + 4*k. Let f(y) be the third derivative of c(y). Factor f(b).
-(b - 1)*(b + 1)**3
Let m(s) be the third derivative of s**5/210 - s**4/42 - s**3/7 - 12*s**2. Factor m(c).
2*(c - 3)*(c + 1)/7
Let u be (-6)/(-18) - 29/(-3). Let j(f) = -f**3 + 11*f**2 - 11*f + 14. Let l be j(u). Let -3*s**2 - s**2 + 2*s**l + 10 - 8 = 0. What is s?
-1, 1
Let x(l) be the first derivative of -l**6/54 + 2*l**5/45 - l**4/36 - 4. Factor x(k).
-k**3*(k - 1)**2/9
Let y(x) be the third derivative of -x**7/210 + 7*x**6/240 + x**5/20 - x**4/8 + 9*x**2. Let s(z) be the second derivative of y(z). Solve s(f) = 0 for f.
-1/4, 2
Let w(b) be the first derivative of 0*b + 2/5*b**5 - 3 + 1/2*b**4 - 2/3*b**3 - b**2. Let w(y) = 0. What is y?
-1, 0, 1
Factor -5*a**2 + 2 - 45 - 35*a + 11 - 18.
-5*(a + 2)*(a + 5)
Let o(d) be the first derivative of 4*d**5/25 + d**4/5 - 4*d**3/15 - 2*d**2/5 + 16. Find b such that o(b) = 0.
-1, 0, 1
Let j(t) = t**2 - t. Let g(w) = 5*w**3 - 18*w**2 + 13*w. Let n(f) = -g(f) - 3*j(f). Factor n(d).
-5*d*(d - 2)*(d - 1)
Suppose 5*k - q - 5 + 4 = 0, 4*q = -3*k - 4. Let h(w) be the second derivative of 0*w**2 - 1/54*w**4 - 2/45*w**5 + 0 + k*w**3 - w - 4/135*w**6. Factor h(n).
-2*n**2*(2*n + 1)**2/9
Let d(l) be the second derivative of l**7/126 - l**6/90 - l**5/12 - l**4/12 + 7*l. Factor d(n).
n**2*(n - 3)*(n + 1)**2/3
Let h(q) be the second derivative of -3/10*q**5 + 0 + 3/10*q**6 + q**3 - 3/4*q**4 + 0*q**2 - 3*q. Suppose h(j) = 0. What is j?
-1, 0, 2/3, 1
Let b be (-158)/168 + 10 + -9. Let k = b - -4/21. Determine h so that 1/4 + k*h**2 - 1/2*h = 0.
1
Suppose -2*j + 2*v + 34 = 3*j, -2*v + 2 = j. Suppose 11*s = j*s + 40. What is u in 4/3*u + 0 + 2/3*u**4 + 10/3*u**2 + 8/3*u**5 - s*u**3 = 0?
-2, -1/4, 0, 1
Solve -75*s**2 - 9*s**4 + 53*s**3 - 15*s**5 - 17*s**3 + 63*s**2 = 0.
-2, 0, 2/5, 1
Let u be 1/2*(-272)/1. Let b be u/(-240) + 4/(-10). Factor 0*v**4 + 0 + 0*v**2 + b*v**5 - 1/6*v**3 + 0*v.
v**3*(v - 1)*(v + 1)/6
Let w(c) = c**2 + c. Let x(v) = 3*v**3 - 6*v**2 + 3*v. Let a(p) = 3*w(p) - x(p). Factor a(o).
-3*o**2*(o - 3)
Let m = 47 - 47. Let g(o) be the third derivative of 1/84*o**6 + 1/245*o**7 + 0*o - 3*o**2 + 1/105*o**5 + m*o**3 + 0*o**4 + 0. Factor g(k).
2*k**2*(k + 1)*(3*k + 2)/7
Factor -30*t**3 - 48*t**2 + 93*t**2 - 3*t**4 + 8*t**4.
5*t**2*(t - 3)**2
Let t(b) be the second derivative of -2*b + 1/105*b**7 + 0 + 1/30*b**4 - 1/75*b**6 + 0*b**3 + 0*b**2 - 1/50*b**5. Factor t(r).
2*r**2*(r - 1)**2*(r + 1)/5
Find v, given that 12*v + 8 + 4*v**2 + 29 - 36*v - 1 = 0.
3
Let k(x) be the first derivative of -2*x**5 + 5*x**4/4 + 10*x**3/3 - 5*x**2/2 + 5. Solve k(j) = 0 for j.
-1, 0, 1/2, 1
Let l be -2*-3*(-1)/3. Let f = l + 5. Let -2*t - 4 + f - 1 + 2*t**3 + 2*t**2 = 0. Calculate t.
-1, 1
Let t be 51/(-238)*8/(-186). Let c = t - -862/651. Suppose 2/3 + c*k + 2/3*k**2 = 0. Calculate k.
-1
Let g = 2/117 - -109/468. Factor -g*x**3 + 0*x**2 + 0 + 1/4*x.
-x*(x - 1)*(x + 1)/4
Let o(k) be the first derivative of -k**3/15 - 33. Find l such that o(l) = 0.
0
Let n(b) = -b**4 + 4*b**3 + 3*b**2 + 3*b. Let v(g) = g**3 + g**2 + g. Let u(h) = -n(h) + 3*v(h). Factor u(k).
k**3*(k - 1)
Let g = -246 + 985/4. Factor g*d**2 + 0 + 0*d - 1/4*d**3.
-d**2*(d - 1)/4
Let n(i) be the third derivative of i**8/2016 + i**7/315 + i**6/240 + 2*i**2. Factor n(h).
h**3*(h + 1)*(h + 3)/6
Let d be (-1)/(-4) + (-6)/24. Let m = d + 3. Find s such that -m*s - 3*s**3 - 4*s**3 + 6*s**3 + 3*s**2 + 1 = 0.
1
Let d(y) be the first derivative of -y**6/12 + y**4/8 + 7. Let d(x) = 0. What is x?
-1, 0, 1
Let x(h) = -h**4 - 5*h**3 - h**2 - 3*h. Let r(l) = l**4 + l**3 - l**2 + l. Let o(s) = 6*r(s) + 2*x(s). Factor o(w).
4*w**2*(w - 2)*(w + 1)
Let k(g) be the second derivative of 0 + 1/7*g**2 + 2/21*g**3 - 1/35*g**5 - 1/105*g**6 - 3*g + 0*g**4. Factor k(w).
-2*(w - 1)*(w + 1)**3/7
Let o = -85 - -259/3. Let y = -166/3 + 56. Factor -o*m + y + 2/3*m**2.
2*(m - 1)**2/3
Let n(l) be the first derivative of -1 - 1/6*l**3 - 1/2*l**2 - 1/48*l**4 - l. Let z(j) be the first derivative of n(j). Determine f so that z(f) = 0.
-2
Let j(t) be the first derivative of -4*t**5/45 - t**4/18 + 8*t**3/27 + t**2/3 - 27. Find f, given that j(f) = 0.
-1, 0, 3/2
Let p(x) be the second derivative of x**4/2 + 19*x**3/6 - 7*x**2/2 - 6*x. Let v(h) = -3*h**2 - 9*h + 3. Let a(k) = -3*p(k) - 7*v(k). Let a(b) = 0. Calculate b.
-2, 0
Let s be (12/5)/((-9)/(-30)). Factor 2*l**3 + l**3 + 9*l**3 - 5*l**2 - s*l**3 + 2*l - l**4.
-l*(l - 2)*(l - 1)**2
Find y such that -2/11*y**2 + 16/11 + 4/11*y = 0.
-2, 4
Let 81*y**5 + 27*y**2 - 160*y**4 + 23*y**2 + 47*y**5 + 2 - 40*y**3 + 20*y = 0. What is y?
-1/4, 1
Let y(g) = 2*g**3 + 12*g**2 + 11*g + 5. Let u be y(-5). Let 18/5*o**3 + 12/5*o**2 + 3/5*o + 3/5*o**5 + 12/5*o**4 + u = 0. What is o?
-1, 0
Let k(h) be the second derivative of -8*h**7/105 + 16*h**6/75 - 3*h**5/20 - h**4/30 + h**3/30 - 5*h. What is p in k(p) = 0?
-1/4, 0, 1/4, 1
Let q be ((-1)/3)/((-2)/(-6)). Let w = 3 + q. Factor s**2 + 1 + 0 + 0 - w*s.
(s - 1)**2
Let p(n) be the second derivative of 9*n**5/100 + 3*n**4/10 + 2*n**3/5 + 3*n**2/2 - 7*n. Let i(m) be the first derivative of p(m). Factor i(v).
3*(3*v + 2)**2/5
Suppose 10*w - 6*w = 8. Let p(d) be the third derivative of 0*d**3 - 1/360*d**6 + 0 - 1/180*d**5 + 1/72*d**4 + 1/630*d**7 + 0*d - 3*d**w. Factor p(m).
m*(m - 1)**2*(m + 1)/3
Let p be 3 + 4/(-4) - (-18)/6. Let c(w) be the third derivative of 4*w**2 + 0*w**4 + 0 + 0*w**3 + 0*w - 1/300*w**p. Solve c(h) = 0.
0
Suppose -d = -1 - 4. Let g(a) be the third derivative of -1/180*a**6 + 0*a**3 + 0*a + 0 + 0*a**4 + 1/90*a**d + a**2. Factor g(f).
-2*f**2*(f - 1)/3
Let 1/2*k**5 - 3/2*k**4 + 3/2*k**3 + 0*k + 0 - 1/2*k**2 = 0. Calculate k.
0, 1
Let n(w) be the third derivative of -w**5/45 + w**4/18 + 4*w**3/9 + 18*w**2. Solv