termine d so that 0*d - 1/6*d**f + 0 + 0*d**2 = 0.
0
Let -1/8*z**3 - 1/8*z - 1/4*z**2 + 0 = 0. What is z?
-1, 0
Let x(t) be the second derivative of 0*t**2 + 0 + 3/20*t**5 + 6*t + 3/4*t**4 + t**3. Factor x(w).
3*w*(w + 1)*(w + 2)
Suppose -2*u = u - 9. Let z be 4 - (0/u - -1). Factor 2 + f + 2*f - 3 - 3*f**2 + f**z.
(f - 1)**3
Let y be (-1)/(-1)*-6*(-3)/72. Factor 0 - 1/4*d**4 + y*d**3 + 1/4*d**2 - 1/4*d.
-d*(d - 1)**2*(d + 1)/4
Let m(o) = 3*o**4 - 3*o**3 - 15*o**2 - 21*o - 10. Let r(u) = -4*u**4 + 4*u**3 + 15*u**2 + 20*u + 10. Let v(a) = -6*m(a) - 4*r(a). Determine g so that v(g) = 0.
-2, -1, 5
Factor -1/7*t**2 + 3/7*t - 2/7.
-(t - 2)*(t - 1)/7
Let j(g) = -3*g**2 - g - 1. Let a(b) = -2*b**2 - 1. Let t(c) = 10*a(c) - 6*j(c). Factor t(m).
-2*(m - 2)*(m - 1)
Let t(u) be the third derivative of u**6/240 + u**5/60 + u**4/48 - 7*u**2. Find r, given that t(r) = 0.
-1, 0
Let i(o) = 3*o**2 - 3*o. Let p(m) = -7*m**2 + 7*m - 1. Let u(b) = -5*i(b) - 2*p(b). Solve u(v) = 0 for v.
-1, 2
Let u(a) be the third derivative of -a**4/8 - 2*a**3/3 - 5*a**2. Let r be u(-2). Find f such that f - 1/2 - 1/2*f**r = 0.
1
Let v(d) = -2*d**5 - 11*d**4 - 24*d**3 + 48*d**2 + 23*d - 37. Let s(f) = -f**5 - f**3 + f**2 - f - 1. Let c(z) = -s(z) + v(z). Factor c(q).
-(q - 1)**2*(q + 1)*(q + 6)**2
Let k be 12/(-60)*5/(-3). Let y(w) be the first derivative of w + k*w**3 + w**2 - 3. Solve y(b) = 0.
-1
Factor 0*i**2 + 0*i**3 + 0*i - 2/13*i**4 + 0.
-2*i**4/13
Let g be 3 + 80/39 + -5. Let r(i) be the first derivative of -g*i**3 - 3 + 0*i**2 + 0*i. Find v, given that r(v) = 0.
0
Let y(i) be the first derivative of 1/18*i**4 + 1/3*i**2 + 2 + 3*i - 2/9*i**3. Let o(t) be the first derivative of y(t). Factor o(r).
2*(r - 1)**2/3
Suppose 15*w - 10*w = 0. Let z = -23/8 - -239/72. Suppose 2/9*d - z*d**2 + w = 0. Calculate d.
0, 1/2
Find w such that 177*w**2 - 33/2*w**3 + 12 - 189*w**4 + 90*w - 147/2*w**5 = 0.
-2, -1, -2/7, 1
Let d(l) be the first derivative of 2*l**3/21 + 3*l**2/7 + 4*l/7 - 8. Factor d(q).
2*(q + 1)*(q + 2)/7
Let y(b) = -13*b**5 + 17*b**4 - 9*b**3 - 2*b**2 - 7*b. Let f(s) = -7*s**5 + 9*s**4 - 5*s**3 - s**2 - 4*s. Let g(o) = -7*f(o) + 4*y(o). Factor g(z).
-z**2*(z - 1)**2*(3*z + 1)
Factor -11*u**4 - 32*u - u**5 - 42*u**3 - 1 + 1 + 680*u**2 - 744*u**2.
-u*(u + 1)*(u + 2)*(u + 4)**2
Let j be ((-6)/(-4))/(2/4). Let i = 21/4 + -5. Determine t, given that -1/4*t**2 + 0 + 1/4*t**j - 1/4*t + i*t**4 = 0.
-1, 0, 1
Let y(f) be the third derivative of f**11/831600 + f**10/756000 - f**9/302400 - f**5/60 - 9*f**2. Let o(b) be the third derivative of y(b). Factor o(g).
g**3*(g + 1)*(2*g - 1)/5
Let z be (-2)/21 + 4/6. Let h = -1/14 + z. Solve 1/4*i**3 + h*i**2 + 0 + 1/4*i = 0 for i.
-1, 0
Let i = 7/72 - 1/72. Let m(x) be the second derivative of -2*x - 1/8*x**2 - 1/48*x**4 + 0 + i*x**3. Suppose m(q) = 0. Calculate q.
1
Let q(i) be the third derivative of 1/150*i**5 + 0*i**3 + 1/120*i**6 + 0 + 0*i**4 + 0*i + 2/525*i**7 + 1/1680*i**8 + 4*i**2. Factor q(r).
r**2*(r + 1)**2*(r + 2)/5
Let z(y) be the second derivative of -3*y**5/40 - 3*y**4/8 - y**3/2 - 3*y. Suppose z(p) = 0. Calculate p.
-2, -1, 0
Let w be ((-432)/(-30))/6 - 4/10. Let c(y) be the second derivative of 1/3*y**3 - 1/6*y**4 + 2*y**w + 0 - 3*y. Determine r, given that c(r) = 0.
-1, 2
Let i(n) be the first derivative of -5*n**6/6 - 7*n**5 - 85*n**4/4 - 85*n**3/3 - 15*n**2 + 31. What is o in i(o) = 0?
-3, -2, -1, 0
Let a = 143/3 + -703/15. Suppose 0 - 2/5*g**4 + 0*g - 2/5*g**2 + a*g**3 = 0. What is g?
0, 1
Suppose -4*c + 8*c = 0. Let s(o) be the third derivative of 0*o**3 + 1/240*o**6 + 0*o**4 + o**2 + 0*o + 0 + c*o**5. What is k in s(k) = 0?
0
Let n(c) be the first derivative of c**3/6 - c/2 - 1. Factor n(r).
(r - 1)*(r + 1)/2
Let u(f) be the third derivative of f**5/48 + f**4/12 - f**3/6 - 2*f**2. Let u(j) = 0. Calculate j.
-2, 2/5
Let y(i) be the third derivative of 1/10*i**5 + 1/40*i**6 + 3*i**2 + 1/8*i**4 + 0 + 0*i**3 + 0*i. Factor y(z).
3*z*(z + 1)**2
Suppose 49*d = 36*d. What is v in d - 9/2*v**3 - 3/4*v - 3*v**2 - 3/4*v**5 - 3*v**4 = 0?
-1, 0
Let w = -253/2 + 127. Factor -1/2 - w*k**3 - 3/2*k**2 - 3/2*k.
-(k + 1)**3/2
Let b(r) = 27*r**4 + 88*r**3 + 83*r**2 - 18. Let t(j) = 325*j**4 + 1055*j**3 + 995*j**2 - 215. Let z(m) = -25*b(m) + 2*t(m). Let z(u) = 0. What is u?
-2, -1, 2/5
Let n(i) be the second derivative of -1/10*i**5 - 1/2*i**2 - 2/3*i**3 - i + 0 - 5/12*i**4. Factor n(m).
-(m + 1)**2*(2*m + 1)
Let d(t) = t**3 - 5*t**2 - t + 5. Let g be d(5). Let j be 2 + 1 + (-13)/5. Factor g*s**2 + 4/5*s**4 - 2/5*s**3 + 0*s - j*s**5 + 0.
-2*s**3*(s - 1)**2/5
Suppose -3*r + 7 + 8 = 0. Suppose -s = -r*h - 4*s + 13, 5*h - 2*s = 8. What is f in 2*f**3 + 4 - 2*f - 2 + 6*f**h + 8*f = 0?
-1
Let d(r) = -3*r - 5. Let y be d(-3). Let o(f) be the first derivative of 1/6*f**3 + 1/8*f**2 + 1/16*f**y + 0*f + 1. Find k such that o(k) = 0.
-1, 0
Determine d so that 28 + d**4 + 2*d**3 + 8 + 42*d - 54*d - 11*d**2 = 0.
-3, 2
Let y(w) be the second derivative of w**8/1344 + w**7/210 + w**6/96 + w**5/120 + w**2 - 4*w. Let j(t) be the first derivative of y(t). Factor j(p).
p**2*(p + 1)**2*(p + 2)/4
Determine a so that -10/13*a - 2/13*a**2 + 2/13*a**3 - 6/13 = 0.
-1, 3
Suppose -3*l - 12 = -3*k - 2*l, 2*k + 4*l - 8 = 0. Suppose -14 = -k*w + 3*n - 4, -3*w = 3*n - 18. Factor -8*u**2 + w*u + 16/3*u**3 - 2/3.
2*(2*u - 1)**3/3
Factor -1 + 21*r + 0*r**4 + 12*r**2 + 15*r**2 + 3*r**4 + 15*r**3 + 7.
3*(r + 1)**3*(r + 2)
Factor 528*r + 2363*r**3 - 32 + 0 + 2961*r**3 - 2904*r**2.
4*(11*r - 2)**3
Let y(i) = -19*i**5 + 31*i**4 - 19*i**3 + 7*i + 7. Let s(b) = -13*b**5 + 21*b**4 - 13*b**3 + 5*b + 5. Let w(m) = -7*s(m) + 5*y(m). Solve w(t) = 0 for t.
0, 1
Let y(n) be the third derivative of -n**7/120 + 17*n**6/720 - n**5/240 - n**4/24 + 2*n**3/3 - 4*n**2. Let d(k) be the first derivative of y(k). Factor d(w).
-(w - 1)*(2*w - 1)*(7*w + 2)/2
Let b(r) be the third derivative of r**8/840 - 2*r**7/525 + r**5/75 - r**4/60 + 3*r**2. Factor b(j).
2*j*(j - 1)**3*(j + 1)/5
Let f(o) be the second derivative of -o**7/1260 - o**6/270 - o**3/2 - 2*o. Let q(i) be the second derivative of f(i). Find j such that q(j) = 0.
-2, 0
Let h(u) = 5*u**3 + 11*u**2 + 14*u. Let j(b) be the first derivative of 3*b**4/4 + 7*b**3/3 + 9*b**2/2 + 1. Let w(f) = -5*h(f) + 8*j(f). Solve w(p) = 0.
-1, 0, 2
Let u(z) be the second derivative of -z**3/2 - 5*z**2/2 + 2*z. Let q be u(-5). Suppose -6*d**5 + 0*d + 0 - 14/3*d**3 + 2/3*d**2 + q*d**4 = 0. Calculate d.
0, 1/3, 1
Let g(l) = 5*l**2 - 8*l + 2. Let z(h) be the third derivative of h**5/10 - 3*h**4/8 + h**3/2 - h**2. Let i(j) = -3*g(j) + 2*z(j). Factor i(b).
-3*b*(b - 2)
Solve 2/11*t**3 + 2/11*t + 4/11*t**2 + 0 = 0.
-1, 0
Let v be 0/(-2)*44/132. Factor 0*l**2 - 10/7*l**4 + 4/7*l**3 + 0 + v*l.
-2*l**3*(5*l - 2)/7
Let k = -6 + 12. Let f = 6 - k. Let 0*a + f + 0*a**4 + 0*a**2 - 2/3*a**3 + 2/3*a**5 = 0. Calculate a.
-1, 0, 1
Let t(y) = -1. Let p(h) = -h**2 + h + 5. Let s(v) = -p(v) - 5*t(v). Let w(n) = n**3 + 3*n**2 - 4*n. Let o(l) = 4*s(l) - w(l). Determine x, given that o(x) = 0.
0, 1
Let u(m) be the first derivative of 2*m**4/11 - 14*m**3/33 + 2*m**2/11 + 2*m/11 + 2. Factor u(i).
2*(i - 1)**2*(4*i + 1)/11
Determine h, given that 2*h - 4*h - h + h**3 + 2*h = 0.
-1, 0, 1
Let f(o) be the second derivative of o**4/24 + o**3/4 + o**2/2 + 9*o. Factor f(h).
(h + 1)*(h + 2)/2
Suppose -4*w - 258 = -2*w. Let p = w + 267/2. What is g in -p*g - 5/2*g**3 + 1 + 6*g**2 = 0?
2/5, 1
Let a(c) be the first derivative of 363*c**5/40 + 165*c**4/8 + 12*c**3 + 3*c**2 - 8*c + 6. Let w(n) be the first derivative of a(n). Factor w(r).
3*(r + 1)*(11*r + 2)**2/2
Let a(d) be the first derivative of d**6/12 - d**5/2 + 3*d**4/8 + 3*d**3/2 + 7. Factor a(f).
f**2*(f - 3)**2*(f + 1)/2
Let y = 894 - 892. Solve 7/4*l**y + 0 - 5/4*l**3 - 1/2*l = 0.
0, 2/5, 1
Let h(r) be the first derivative of 2*r**5/5 - 4*r**4 + 10*r**3 + 8*r**2 - 32*r - 15. Suppose h(k) = 0. What is k?
-1, 1, 4
Suppose 0 = 4*l - 2*z - 8, 3*l + 1 = -2*z - 0. Let a = 3 - l. Solve -y + y**3 - 7*y**a + 8*y**2 + y = 0.
-1, 0
Solve 4/9*t - 1/9*t**2 - 1/3 = 0 for t.
1, 3
Let t(g) be the first derivative of -4*g**5/15 + 2*g**4/3 + 20*g**3/3 - 24*g**2 + 59. Factor t(h).
-4*h*(h - 3)**2*(h + 4)/3
Find r, given that 4/5*r + 2/5*r**2 + 