ative of f*q**5 - 1/48*q**4 + q**2 + 0 + 1/24*q**3 + 0*q. Factor m(b).
(b - 1)**2/4
Let z(p) be the second derivative of -p**7/21 + p**6/45 + 4*p**5/45 - 2*p**4/27 - 32*p. Find m, given that z(m) = 0.
-1, 0, 2/3
Let w(r) = r - 1. Suppose -4*d - 3*g + 4 = 0, d + 5*g = -0*g - 16. Let s be w(d). Determine n so that -2*n**4 + 6*n**4 - n**4 + 2*n**2 - 7*n**s = 0.
0, 1/3, 2
Solve 4/3*x - 3*x**3 + 3*x**4 - 4/3*x**2 + 0 = 0.
-2/3, 0, 2/3, 1
Let f(t) = -7*t. Let z(x) = 15*x. Let g(v) = -13*f(v) - 6*z(v). Let i be g(2). Factor 3/2*y**3 + 1/2*y + 0 - 3/2*y**i - 1/2*y**4.
-y*(y - 1)**3/2
Let h(i) = i**2 - i - 1. Let b be 3/(1*6/8). Let r(k) = 4*k**3 + 4*k**2 - 7*k - 3. Let p(z) = b*h(z) - r(z). Factor p(f).
-(f + 1)*(2*f - 1)**2
Let f = -25/2 + 14. Factor 0 + 3/2*b**3 + 0*b + f*b**2.
3*b**2*(b + 1)/2
Let h(b) be the third derivative of -b**7/210 + b**6/120 + b**5/30 - b**2. What is t in h(t) = 0?
-1, 0, 2
Let j be 15/120 - (-31)/8. Let w(v) be the first derivative of -j*v - 3*v**2 - 2*v**4 + 7/3*v**6 + 28/3*v**3 - 24/5*v**5 + 2. Factor w(s).
2*(s - 1)**3*(s + 1)*(7*s + 2)
Let l(s) = s - 7. Let k be l(9). Solve -9*n**4 - 7*n**4 + 32*n**5 + 5*n**3 - 19*n**3 - k*n**2 = 0.
-1/4, 0, 1
Let z be 6/15 - (-2)/(-5). Suppose z = p - 1 - 2. Factor -4*w**5 + 14*w**4 + w**2 - 4*w**p - 4*w**5 - 3*w**2.
-2*w**2*(w - 1)**2*(4*w + 1)
Let m(i) be the second derivative of -1/10*i**5 + 0*i**3 - 1/30*i**6 + 0*i**2 + 0 - 3*i - 1/12*i**4. Find k such that m(k) = 0.
-1, 0
Let n be (-16)/20*(-10)/4. Let z = 0 - -2. Factor -z*j**4 - 2*j**n - 4*j**2 - 3*j + 2*j - 6*j**3 - j.
-2*j*(j + 1)**3
Let v be (3/(-20))/((-45)/120). Factor -v + 2/5*i**2 + 0*i.
2*(i - 1)*(i + 1)/5
Let z(v) = -2*v**3 + 12*v**2 - 12*v + 2. Let q(f) = -25*f**3 + 145*f**2 - 145*f + 25. Let h(t) = 3*q(t) - 35*z(t). What is l in h(l) = 0?
1
Suppose -6*l + 16 = -2. Let c(a) be the first derivative of -4/3*a**l + 0*a - 4/5*a**5 + 1/2*a**2 + 2 + 1/6*a**6 + 3/2*a**4. Solve c(f) = 0.
0, 1
Suppose 0 = -j + 3*c - 2, -3*j - 2*j + 6 = c. Let a = 1 + j. Factor -2*i**2 - i + i**3 + i**4 + i**a + 0*i.
i*(i - 1)*(i + 1)**2
Suppose -11*x + 18 + 4 = 0. Let q(p) be the first derivative of -1/2*p**4 - p - x + p**2 + 0*p**3 + 1/5*p**5. Factor q(j).
(j - 1)**3*(j + 1)
Let r be 30/9*(-4)/(-40). Determine m so that -m - m**2 - r*m**3 - 1/3 = 0.
-1
Let k(i) be the second derivative of -i**6/30 + i**5/10 + i**4/4 - 4*i**3/3 + 2*i**2 - 16*i. Factor k(j).
-(j - 2)*(j - 1)**2*(j + 2)
Let f(w) be the second derivative of -w**5/15 - w**4/3 + 2*w**3 - 10*w**2/3 + 52*w. Factor f(k).
-4*(k - 1)**2*(k + 5)/3
Suppose -2*k - 15*k**2 + 8*k**2 + 0*k + 2*k**3 + 2 + 5*k**2 = 0. What is k?
-1, 1
Let a(k) be the first derivative of -k**4/10 - 8*k**3/15 - k**2 - 4*k/5 + 24. Factor a(x).
-2*(x + 1)**2*(x + 2)/5
Suppose -4*f - 4*h - 13 = -f, -2*f - 3*h = 10. Let z be 2 - 1 - (2 - f). Determine d, given that -6*d**3 - 3*d**2 + z - 5*d**4 - 3/2*d**5 - 1/2*d = 0.
-1, -1/3, 0
Let b = 117 + -117. Factor 0 - 1/3*q**2 + 1/3*q**3 + b*q.
q**2*(q - 1)/3
Find r such that 0*r**3 + 4/5*r**2 + 0 - 2/5*r + 2/5*r**5 - 4/5*r**4 = 0.
-1, 0, 1
Factor 1 - 2 + 8*y**3 - 10*y**3 + 3*y**2.
-(y - 1)**2*(2*y + 1)
Let r(i) = i**2 - 14*i + 13. Let w be r(13). Suppose -11 = -5*h + 9. Find v such that v**3 + w*v**2 - v**h - v**2 - v**5 - v**2 + 3*v**2 = 0.
-1, 0, 1
Let o(a) be the second derivative of 16*a**6/195 + 16*a**5/65 + 5*a**4/26 - 2*a**3/39 - a**2/13 + 8*a. Determine t so that o(t) = 0.
-1, -1/4, 1/4
Factor -2 - 3269*s**3 - 5*s + 7 + 3274*s**3 - 5*s**2.
5*(s - 1)**2*(s + 1)
Let z(l) be the first derivative of -3 + l**3 + 0*l + 3/2*l**2. Find j such that z(j) = 0.
-1, 0
Let c(f) be the third derivative of 0*f - 1/300*f**5 + 1/60*f**4 + 0 - 1/30*f**3 - f**2. Factor c(s).
-(s - 1)**2/5
Let d = 2 + -2. Suppose -2*z = -d*z - 4. Let 2*n**2 + 0*n**2 - n**z + n**2 + 2*n**3 - 2 - 2*n = 0. Calculate n.
-1, 1
Let b(y) be the second derivative of -1/2*y**4 + 3/2*y**2 - 6/5*y**5 + 2*y**3 - y + 0 + 2/7*y**7 + 1/10*y**6. What is d in b(d) = 0?
-1, -1/4, 1
Let r(g) = g + 7. Let x be r(5). Suppose -4*j + i - x = -3*i, -2*i = -6. Find m such that -m**3 + j - 4*m**3 + 6*m - 6*m**2 + 7*m**3 - 2 = 0.
1
Let j be (-114)/42 - -7 - 4*1. What is h in -h**5 - 40/7*h**2 - 15/7*h - j - 30/7*h**4 - 50/7*h**3 = 0?
-1, -2/7
Let q(z) = -z**2 + z. Let s(w) = 10*w**2 - 10*w - 10. Let y(b) = 5*q(b) + s(b). Determine u, given that y(u) = 0.
-1, 2
Let g(t) be the first derivative of t**4/12 + 3*t - 1. Let y(h) be the first derivative of g(h). Factor y(i).
i**2
Factor -5*w**5 + 3*w**3 + w**4 - 5*w**2 + 4*w**5 + 80*w - 78*w.
-w*(w - 1)**3*(w + 2)
Let l(q) be the second derivative of -q**6/90 - q**5/60 + 6*q. Factor l(z).
-z**3*(z + 1)/3
Let m(a) = -a**2 - 10*a - 2. Let x be m(-9). Suppose 2*h = x*h - 10. Solve -h*t**2 - t + 0*t - t = 0 for t.
-1, 0
Let g(n) = 5*n**3 + 79*n**2 - 19*n - 45. Let f be g(-16). Determine w, given that 0*w**2 - 1/5*w**f - 2/5*w**4 - 1/5*w**5 + 0*w + 0 = 0.
-1, 0
Let m(h) be the third derivative of -h**7/350 + h**6/20 - 33*h**5/100 + 11*h**4/10 - 2*h**3 - 20*h**2. Let m(j) = 0. Calculate j.
1, 2, 5
Let o(v) = 21*v**4 - 40*v**3 + 19*v**2 + 51*v - 29. Let g(h) = 4*h**4 - 8*h**3 + 4*h**2 + 10*h - 6. Let r(z) = -22*g(z) + 4*o(z). Factor r(t).
-4*(t - 2)**2*(t - 1)*(t + 1)
Let o(z) = -z + 11. Let g be 1/((-18)/(-16) + -1). Let t be o(g). Solve 1/2*f**2 - 1/2*f**4 + 0*f**t + 0*f + 0 = 0.
-1, 0, 1
Factor 2/7*f**4 + 12/7*f**2 + 0 + 2*f**3 + 0*f.
2*f**2*(f + 1)*(f + 6)/7
Let t(n) be the third derivative of n**6/48 - 11*n**5/40 - 9*n**4/8 - 4*n**3/3 + 15*n**2. Factor t(c).
(c - 8)*(c + 1)*(5*c + 2)/2
Let v(d) be the first derivative of 2*d**3/45 + 2*d**2/15 - 7. Factor v(l).
2*l*(l + 2)/15
Solve -2/9*n**4 + 4/9 - 2/9*n**2 - 2/3*n + 2/3*n**3 = 0 for n.
-1, 1, 2
Suppose -4*j = -5 - 7. Let s(o) = 4*o**j + 3 + o**2 + 3*o + o**3 + 0*o**2. Let x(r) = 6*r**3 + 2*r**2 + 3*r + 4. Let y(m) = 5*s(m) - 4*x(m). Factor y(k).
(k - 1)**3
Let p(v) be the third derivative of -v**6/1020 - v**2. Factor p(y).
-2*y**3/17
Let j(p) = 4*p**3 + 5*p**2 - 3. Let x(g) = -g**3 - g**2 + 1. Let d(w) = j(w) + 3*x(w). Determine s so that d(s) = 0.
-2, 0
Let r(a) be the first derivative of 5*a**4/4 + 5*a**3/3 + 14. Determine u so that r(u) = 0.
-1, 0
Let c(z) be the third derivative of -z**7/280 - z**6/60 + z**3/3 - 3*z**2. Let s(l) be the first derivative of c(l). Find t such that s(t) = 0.
-2, 0
Let p(v) be the third derivative of 1/16*v**5 + 0*v**3 + 0*v + 1/16*v**4 - 1/448*v**8 + 0 + v**2 - 1/280*v**7 + 3/160*v**6. Factor p(f).
-3*f*(f - 2)*(f + 1)**3/4
Let h(q) = -2*q**5 - 4*q**4 + 6*q**2 + 2*q - 2. Let c(k) = -k**3 + k**2 + k - 1. Let l(x) = 2*c(x) - h(x). Let l(f) = 0. What is f?
-2, -1, 0, 1
Suppose -5*g = -2*c + 25, -2*g + 1 = 2*c + g. Suppose -10 = -c*r - 0. What is t in 4*t**3 + 2*t**r - 4*t**2 - 3*t**4 + t**4 = 0?
0, 1
Let a(s) be the third derivative of -s**5/60 - s**4/4 - 5*s**3/6 - 4*s**2. Factor a(f).
-(f + 1)*(f + 5)
Factor -5 + 219*v**2 - 4 - 3*v + 3*v**3 - 210*v**2.
3*(v - 1)*(v + 1)*(v + 3)
Let f(j) be the third derivative of -1/120*j**5 + 3*j**2 + 0*j**4 + 0*j**6 + 0*j**3 + 0*j + 0 + 1/420*j**7. Factor f(s).
s**2*(s - 1)*(s + 1)/2
Let p(r) be the second derivative of 1/2*r**4 + 2*r + 3/2*r**2 + 3/2*r**3 + 0. What is t in p(t) = 0?
-1, -1/2
Let k(l) = -4*l**3 + 3*l**2 + 7*l + 7. Let g(f) = -2*f**3 + 2*f**2 + 4*f + 4. Let s(i) = -7*g(i) + 4*k(i). Factor s(n).
-2*n**2*(n + 1)
Let t(q) be the first derivative of -14*q**3/45 + 23*q**2/15 - 4*q/5 + 55. Factor t(y).
-2*(y - 3)*(7*y - 2)/15
Let w be (1*(11 + -7))/5. Suppose -8/5*t + 12/5*t**2 - w = 0. Calculate t.
-1/3, 1
Let m be (-50)/(-24) + (-6)/36. Let c = m + -5/3. Factor -1/4*x**3 + 1/4*x**4 + 0 + 1/4*x - c*x**2.
x*(x - 1)**2*(x + 1)/4
Let l(k) be the second derivative of -k**9/4200 + k**8/5600 + k**7/3150 - k**4/4 + k. Let h(x) be the third derivative of l(x). Factor h(v).
-2*v**2*(3*v - 2)*(3*v + 1)/5
Let a(o) = -o + 1. Let p be a(0). Let f be 3 + (p - (3 - 2)). Solve -6/5*x**2 - 2/5*x**f - 2/5 - 6/5*x = 0 for x.
-1
Factor 3/5*r**2 + 0*r + 0.
3*r**2/5
Let d(n) be the second derivative of -n**7/84 + 7*n**6/60 - 2*n**5/5 + n**4/3 + 4*n**3/3 - 4*n**2 + 3*n. Factor d(r).
-(r - 2)**4*(r + 1)/2
Let s(p) = -2*p**2 + p. Let q(u) = -4*u**2 + 3*u. Let t(b) = 6*q(b) - 14*