of p(k). Solve n(l) = 0 for l.
0, 1/5
Let v be 3 + -5 + (-16)/(-6). Let z = 1 - v. What is d in 0 - z*d**2 + 2/3*d = 0?
0, 2
Let t(g) = -6*g**2 + 5*g + 18. Let i(c) = 3*c**2 - 2*c - 9. Suppose -3*m = -6*m - 21. Let o(b) = m*i(b) - 4*t(b). Factor o(q).
3*(q - 3)*(q + 1)
Let d(g) = 0 - 1 + 0. Let m(s) = -4*s**2 + 6*s + 9. Let i(f) = -f**2 + f. Let h(c) = -3*i(c) + m(c). Let b(t) = -22*d(t) - 2*h(t). Factor b(x).
2*(x - 2)*(x - 1)
Determine h so that 6*h**2 - 16 - 4*h**2 + 18*h**2 - 4*h**4 = 0.
-2, -1, 1, 2
Let d(q) be the third derivative of 5*q**6/72 + 11*q**5/36 + 13*q**4/24 + q**3/2 - 23*q**2. Factor d(g).
(g + 1)*(5*g + 3)**2/3
Let n(g) = -1 + 0*g - 3*g + 5*g - 3*g. Let o be n(-5). Factor 0 + 2/11*l + 2/11*l**5 + 0*l**2 - 4/11*l**3 + 0*l**o.
2*l*(l - 1)**2*(l + 1)**2/11
Let g(u) = -u**5 + u**4 + u**2 + u. Let z(y) = -12*y**5 - 8*y**4 - 37*y**3 - 30*y**2 - 11*y - 4. Let k(s) = 18*g(s) - 2*z(s). Factor k(h).
2*(h + 1)**3*(h + 2)*(3*h + 2)
Let o(c) be the first derivative of 5*c**3/3 - 5*c**2/2 - 10*c - 3. Factor o(z).
5*(z - 2)*(z + 1)
Let s(p) = p**2 - p + 1. Let i(t) = 3*t + 0*t**2 - 3*t - 5*t**2 - 6 + 7*t. Let o(n) = i(n) + 4*s(n). Factor o(r).
-(r - 2)*(r - 1)
Let f(m) = m + 1. Let y be f(2). Let u be -1 - (2 + -3 - y). Factor 0*v**2 + 3*v**3 - v**2 - 2*v**u.
v**2*(v - 1)
Let f = -2 - -4. What is d in -d**5 + 0*d**3 + 3*d**3 - d**f - d**4 - 2*d + 2*d**4 = 0?
-1, 0, 1, 2
Let v(s) be the first derivative of s**5/5 - 7*s**4/20 + 2*s**3/15 + 1. Find a, given that v(a) = 0.
0, 2/5, 1
Factor 1 + 2 + 2 - 4*w**2 - 1.
-4*(w - 1)*(w + 1)
Let i be ((-3)/(-2))/(6/16). Suppose -v - 5*o = 25, -o - i = 4*v + 1. Factor v + 18/5*g**2 - 4/5*g - 14/5*g**3.
-2*g*(g - 1)*(7*g - 2)/5
Let y(t) be the second derivative of -1/6*t**4 - 1/21*t**7 + 0*t**2 + 0*t**3 + 0 - 4*t + 1/10*t**5 + 1/15*t**6. Find u such that y(u) = 0.
-1, 0, 1
Suppose -2/9*f**4 + 4/9*f**3 - 2/3*f**5 + 0*f**2 + 0*f + 0 = 0. Calculate f.
-1, 0, 2/3
Let j(t) = 37*t**3 - 30*t**2 - 11*t - 11. Let o(b) = 13*b**3 - 10*b**2 - 4*b - 4. Let m(y) = 4*j(y) - 11*o(y). Factor m(v).
5*v**2*(v - 2)
Let r be ((-4)/6)/((-4)/30). Let l = 9 - r. Factor 2 + 3*o + l*o**2 + o**2 - 4*o**2.
(o + 1)*(o + 2)
Suppose l + 2*o + 2 - 15 = 0, -2*o = 3*l - 19. Suppose 0 = -3*r - l + 9. Suppose f - 4*f + 0*f + 3*f**r = 0. What is f?
0, 1
Let u(c) be the third derivative of 1/3*c**3 + 0*c - 1/420*c**7 + 4*c**2 + 1/60*c**6 - 1/40*c**5 + 0 - 1/12*c**4. Let u(r) = 0. Calculate r.
-1, 1, 2
Let z be (-220)/(-60) - 1*3. Factor 0*d**2 - 2/3*d + z*d**3 + 0.
2*d*(d - 1)*(d + 1)/3
What is q in -7*q + 13*q - 5*q**2 - 7*q**3 - 4 + 2*q + 8*q = 0?
-2, 2/7, 1
Let j be (4/(-6))/(12/(-54)). Suppose j*i - 2 = 7. Let 0 - 2/5*v + 2/5*v**i + 0*v**2 = 0. What is v?
-1, 0, 1
Suppose -3*z = -z - 12*z. Let n(q) be the third derivative of 1/90*q**5 + z + 3*q**2 + 0*q + 1/9*q**3 - 1/18*q**4. Let n(f) = 0. What is f?
1
Let v(f) = 3*f**2 + 5*f - 7*f**3 - f - 5 + 6*f**3 - f. Let m(u) = -2*u**3 + 7*u**2 + 6*u - 11. Let j(a) = -3*m(a) + 7*v(a). Factor j(d).
-(d - 1)**2*(d + 2)
Factor 1/2*r + 0 + 1/4*r**2.
r*(r + 2)/4
Let m(q) be the second derivative of -q**5/60 + 7*q**4/36 - 5*q**3/6 + 3*q**2/2 - 6*q. Factor m(y).
-(y - 3)**2*(y - 1)/3
Let w(n) be the first derivative of 9 + 23*n - n**3 - 31*n + 20*n. Let w(l) = 0. What is l?
-2, 2
Let y(x) be the second derivative of x**4/42 + 3*x**3/7 - 10*x**2/7 + 30*x. Factor y(t).
2*(t - 1)*(t + 10)/7
Suppose 5 - 10 = -x. Let a(g) be the first derivative of 3/8*g**4 + 1/4*g**2 + 1/2*g**3 - 1 + 0*g + 1/10*g**x. Factor a(k).
k*(k + 1)**3/2
Let u(p) be the first derivative of -p**3/15 + 14*p**2/5 - 196*p/5 - 25. Factor u(d).
-(d - 14)**2/5
Suppose 0 = -4*a - 0*a. Suppose a = 5*d - 0 - 20. Factor -2/5*p**2 + 4/5*p**3 + 0*p + 0 - 2/5*p**d.
-2*p**2*(p - 1)**2/5
Let s(z) = 3*z**2 + 1 + z + 0*z - z**3 - 2*z**3 + 2*z**3. Let l be s(3). Find u such that 8/9*u**2 + 2/9*u**5 + 2/9*u + 0 + 4/3*u**3 + 8/9*u**l = 0.
-1, 0
Let c be (-64)/(-40)*(-10)/(-4). Let m be 5/6 - 2/c. Factor 0 + m*v**2 - 1/3*v.
v*(v - 1)/3
Let m(c) = -c**2 + 1. Let x(z) = 8*z**2 - 4*z - 4. Let p(w) = -10*m(w) - x(w). Let p(s) = 0. What is s?
-3, 1
Let q be 6/15 + (-56)/100. Let y = 9/100 - q. Solve -1/4*t**4 + y*t**2 + 0 - 1/4*t**3 + 1/4*t = 0 for t.
-1, 0, 1
Let c(a) be the first derivative of a**5/70 - a**4/14 + a**3/7 - a**2/7 + 6*a + 6. Let g(r) be the first derivative of c(r). What is x in g(x) = 0?
1
Let s(b) be the second derivative of b**4/9 - 4*b**3/9 - 6*b. Factor s(g).
4*g*(g - 2)/3
Let j = -489 + 492. Determine b so that 0*b + 0*b**2 - 1/2*b**5 + 0*b**4 + 0 + 1/2*b**j = 0.
-1, 0, 1
Let y(w) = -w**3 + 9*w**2 + 12*w + 2. Let q(m) = -m**2 - m. Let c(i) = -22*q(i) - 2*y(i). Solve c(z) = 0.
-2, -1, 1
Let t(u) be the third derivative of 1/32*u**4 - 3*u**2 + 1/80*u**5 + 1/480*u**6 + 1/24*u**3 + 0*u + 0. Factor t(h).
(h + 1)**3/4
Suppose -5*n + r + 12 = 0, -4 = 2*n - r + 5*r. Suppose n*u = 1 + 9. Let 9*y**4 + 2*y**3 + 7*y**3 + 3*y**u + 3*y**2 + 0*y**2 = 0. Calculate y.
-1, 0
Let a(i) be the third derivative of i**6/360 + i**5/180 - i**4/18 - 2*i**3/9 + 10*i**2. Factor a(r).
(r - 2)*(r + 1)*(r + 2)/3
Let c(w) be the first derivative of 2*w**3/15 - 4*w**2/5 + 6*w/5 + 3. Factor c(i).
2*(i - 3)*(i - 1)/5
Let y(m) be the second derivative of 1/130*m**5 - 1/39*m**3 + 0*m**2 + 1/195*m**6 + 0 - 1/78*m**4 - 4*m. Solve y(t) = 0 for t.
-1, 0, 1
Factor -6*u**2 - 2*u**2 + 5*u**2 + u - 1 + 3.
-(u - 1)*(3*u + 2)
Let i(w) be the third derivative of -w**5/75 - w**4/15 - 2*w**3/15 - 2*w**2. Factor i(q).
-4*(q + 1)**2/5
Let q(o) be the first derivative of o**8/9240 - o**7/1540 - 11*o**3/3 + 5. Let v(f) be the third derivative of q(f). Suppose v(s) = 0. Calculate s.
0, 3
Let n(q) be the first derivative of 10*q**5/17 + 45*q**4/34 - 52*q**3/51 - 36*q**2/17 - 16*q/17 - 24. Let n(f) = 0. Calculate f.
-2, -2/5, 1
Let 0*j - 1/4*j**2 + 0 = 0. What is j?
0
Let y(v) be the first derivative of -v**7/70 - v**6/120 + v**5/20 + v**4/24 - v**2 - 4. Let b(k) be the second derivative of y(k). What is g in b(g) = 0?
-1, -1/3, 0, 1
Suppose 10*n + 13 - 7 - 5*n**2 - 6 - 5 = 0. What is n?
1
Let r be 4 + (-195)/(-35) - 9. Factor r - 2/7*i - 2/7*i**2.
-2*(i - 1)*(i + 2)/7
Suppose -5*w - 10 + 40 = 0. Let b be 4/(-12)*w/(-4). Let 1/2*a - b*a**3 + 1/2 - 1/2*a**2 = 0. Calculate a.
-1, 1
Let f(w) be the first derivative of -w**4/14 + 12*w**3/7 - 108*w**2/7 + 432*w/7 + 32. Factor f(k).
-2*(k - 6)**3/7
Let d be 14/4 + 3/(-6). Factor 0 - 6*x + 4 - 2*x**d + 8*x**2 - 4*x.
-2*(x - 2)*(x - 1)**2
Factor 2*w**3 + w + 0 - 9/2*w**2.
w*(w - 2)*(4*w - 1)/2
Let l(x) be the third derivative of -4*x**2 + 1/120*x**6 + 0 - 1/36*x**5 + 1/72*x**4 + 1/18*x**3 + 0*x. Determine j, given that l(j) = 0.
-1/3, 1
Let p = -282 + 283. Suppose h**2 - 11/2*h**3 + 3*h**4 + 5/2*h - p = 0. Calculate h.
-2/3, 1/2, 1
Let t(y) be the second derivative of y**6/20 + y**5/15 - 5*y**2/2 + 9*y. Let b(i) be the first derivative of t(i). Factor b(g).
2*g**2*(3*g + 2)
Let d(o) = -36*o**4 - 96*o**3 - 3*o**2 + 135*o + 21. Let s(f) = 7*f**4 + 19*f**3 + f**2 - 27*f - 4. Let t(a) = -4*d(a) - 21*s(a). Let t(i) = 0. What is i?
-3, 0, 1
Let y(b) = 5*b**3 + 5*b**2 - 4*b - 6. Let x(k) = k**3 + k**2 - k - 1. Let p(i) = 6*x(i) - y(i). Find a, given that p(a) = 0.
-2, 0, 1
Let j = -3 - -5. Let s(q) = -7*q - 5. Let u be s(-4). Solve 3*k**3 - k**5 + j + 10*k**4 + 20*k**2 - 10*k - k**5 - u*k**3 = 0 for k.
1
Let 4*u**5 + u - 6*u**4 - 3*u + u**3 - 3*u**3 + 6*u**2 = 0. Calculate u.
-1, 0, 1/2, 1
Let b(o) = -o**2 + 7. Let s be b(3). Let g be s/(-6) - 4/48. Let -g*p**2 + 0 + 0*p - 3/2*p**3 - 9/4*p**4 - p**5 = 0. Calculate p.
-1, -1/4, 0
Let c(l) be the first derivative of -l**5/210 - l**4/84 - 3*l**2 - 3. Let u(f) be the second derivative of c(f). Factor u(w).
-2*w*(w + 1)/7
Let n(f) = -5*f - 17. Let u be n(-4). Suppose 0 = -u*o + 6. Find c such that -1/4*c**4 - 1/4*c**o + 0 + 1/2*c**3 + 0*c = 0.
0, 1
Let w(l) be the first derivative of 7*l**5/120 + l**4/32 - l**3/12 - l**2/2 + 2. Let t(s) be the second derivative of w(s). Factor t(q).
(2*q + 1)*(7*q - 2)/4
Let r(l) be the third derivative of l**6/80 - l**5/40 - l**4/8 + 3*l**2 - 1. Factor r(u).
3*u*(u - 2)*(u + 1)/2
Let t be (2/(-4))/(4/(-24)). Let -4*p**2 + 3*p**t + 0*p**2 + p**2 = 0. Calculate p.
0, 1
Let c(i)