 k**5/120 - k**4/32 + 2*k**2. Factor z(n).
n*(n - 1)*(n + 3)/4
Let z(r) be the third derivative of -r**6/540 + r**5/90 - r**4/54 - 2*r**2 + 43*r. Factor z(d).
-2*d*(d - 2)*(d - 1)/9
Let 1/4*o**5 - o**2 + 0*o + 0 - 5/4*o**4 + 2*o**3 = 0. What is o?
0, 1, 2
Let w be 33/(-45) + 10/12. Let f(b) be the third derivative of 0 - 1/4*b**4 + 0*b - 1/3*b**3 - w*b**5 - 1/60*b**6 - b**2. What is x in f(x) = 0?
-1
Let n(q) = 7*q**3 - q**2. Let u be n(1). Determine l, given that 0 - u*l**3 + 0 - l - 40*l**2 + 36*l**2 - l**5 - 4*l**4 = 0.
-1, 0
Let h(i) be the second derivative of -i**4/8 + i**3/2 + 9*i**2/4 - 4*i. Factor h(j).
-3*(j - 3)*(j + 1)/2
Let a(y) be the first derivative of -2*y**3/3 + 7*y**2 - 12*y - 17. Let a(v) = 0. What is v?
1, 6
Let x(b) be the third derivative of -3*b**7/70 - b**6/40 + 9*b**5/20 - 3*b**4/8 - b**3 - 8*b**2. Suppose x(t) = 0. Calculate t.
-2, -1/3, 1
Let h(i) be the third derivative of -i**7/1155 + i**5/330 + 9*i**2. Factor h(d).
-2*d**2*(d - 1)*(d + 1)/11
Let v(k) be the first derivative of -3*k**5/20 + k**4/6 + 7*k**3/6 + k**2 - 2*k - 2. Let u(w) be the first derivative of v(w). Factor u(z).
-(z - 2)*(z + 1)*(3*z + 1)
Solve -35 + 35 - 4*i**2 = 0.
0
Let j(n) = 15*n**5 - 5*n**4 + 10*n**2 + 10*n + 10. Let c(i) = i**5 + i**4 + i**2 + i + 1. Let q(r) = 10*c(r) - j(r). Factor q(l).
-5*l**4*(l - 3)
Factor 1/2*g**2 - 9/2*g**3 - 1/2 + 9/2*g.
-(g - 1)*(g + 1)*(9*g - 1)/2
Let a(i) = -6*i**2 - 4*i - 2. Let s(w) = 12*w**2 + 8*w + 5. Let q(d) = 5*a(d) + 2*s(d). Factor q(m).
-2*m*(3*m + 2)
Let m = 10/173 + 17107/346. Let u = 53 - m. Factor -1 - 3/2*y**2 + u*y.
-(y - 2)*(3*y - 1)/2
Let k(a) be the second derivative of 1/15*a**6 - 6*a + 0 + 1/10*a**5 + 0*a**3 + 0*a**2 - 1/3*a**4. Determine y so that k(y) = 0.
-2, 0, 1
Suppose -1 = -a - 2*q - 16, 0 = a - 4*q - 15. Let i(s) = s**3 + 4*s**2 - 5*s + 2. Let b be i(a). Factor b*v - 2*v**3 + 2*v**3 - v - v**3.
-v*(v - 1)*(v + 1)
Let w be (-1)/(-3 - (1 + 66)). Let s(d) be the second derivative of 0 + w*d**5 - 1/21*d**4 - d + 0*d**2 + 1/21*d**3. Solve s(u) = 0.
0, 1
Let g(v) be the first derivative of 0*v - 1 - 1/2*v**2 + 1/3*v**3. Factor g(i).
i*(i - 1)
Solve -6*k**3 + 25*k**3 - 15*k - 13*k**3 + 21*k**2 + 3*k = 0 for k.
-4, 0, 1/2
Factor 2*t**4 + 4*t**3 - 4*t**2 + 2*t**2 - 4*t**3.
2*t**2*(t - 1)*(t + 1)
What is h in -4/13*h**3 + 6/13*h + 0 - 10/13*h**2 = 0?
-3, 0, 1/2
Suppose n - 3*n + 4 = 0. Let v(l) be the second derivative of -2*l - 1/12*l**3 + 0*l**n + 1/48*l**4 + 0. Let v(t) = 0. What is t?
0, 2
Let z(s) be the first derivative of 0*s - 1/10*s**4 + 5 - 4/15*s**3 - 1/5*s**2. Let z(f) = 0. What is f?
-1, 0
Let p(a) = -4*a. Let f be p(-3). Suppose 0*t = -4*t + f. What is y in -y**2 - 6 + t*y**3 - 3*y**4 + y**5 + 6 = 0?
0, 1
Let s(c) = -1. Let f(w) = 4*w**2 - 4*w - 3. Let p = -2 + 3. Let m be (0 - 1)/(-1*p). Let n(b) = m*f(b) - 4*s(b). Factor n(g).
(2*g - 1)**2
Let p(s) be the first derivative of 10 - 4*s**2 - 4/3*s**3 - 4*s. Determine d so that p(d) = 0.
-1
Let x(j) be the second derivative of -j**7/63 + 2*j**6/45 + j**5/10 - 4*j**4/9 + 4*j**3/9 - 19*j. Solve x(m) = 0.
-2, 0, 1, 2
Suppose b**4 - 3*b**2 - b**3 + 7*b**3 - 4*b**4 = 0. What is b?
0, 1
Let w(l) be the third derivative of -l**6/40 + l**2. Solve w(z) = 0.
0
Let i(t) be the second derivative of t + 0 - 27/2*t**2 + 3/20*t**5 + 5/4*t**4 + 3/2*t**3. Factor i(g).
3*(g - 1)*(g + 3)**2
Factor 0 + 2/5*h**2 + 4/5*h.
2*h*(h + 2)/5
Let s(z) = 6*z**4 - 13*z**3 - 16*z**2 + 5*z + 10. Let m(b) = 24*b**4 - 51*b**3 - 63*b**2 + 21*b + 39. Let d(r) = -4*m(r) + 15*s(r). Let d(l) = 0. Calculate l.
-1, -1/2, 1, 2
Let v be (-4410)/(-8) + (-3)/12. Let a = v - 3851/7. Factor a*i**2 + 2/7*i**3 + 6/7*i + 2/7.
2*(i + 1)**3/7
Suppose -5*k = 4*a, 3*a + 2*a - k = 0. Factor a + 4/7*t - 6/7*t**2.
-2*t*(3*t - 2)/7
Let k(b) = b - 2. Let c be k(8). Factor c*g**2 + 6*g - 3*g**2 - 6*g**2.
-3*g*(g - 2)
Let c(s) be the third derivative of -s**7/210 - s**6/72 - s**5/180 + s**4/72 + 4*s**2. Determine x so that c(x) = 0.
-1, 0, 1/3
Let i be (4/14)/((-92)/(-28) + -2). Let 2/9*c + 0 - 2/3*c**4 - i*c**2 - 10/9*c**3 = 0. What is c?
-1, 0, 1/3
Suppose 7*a + 108 = 3*a. Let g be (6/a)/((-1)/9). Factor -2/3*y**g + 4/3*y - 2/3.
-2*(y - 1)**2/3
Let g = 69/34 - 911/918. Let f(t) be the first derivative of -g*t**3 + 1/9*t**4 - 1/3*t**6 + 2/3*t**5 - 2/9*t + 1 + 7/9*t**2. Find r such that f(r) = 0.
-1, 1/3, 1
Let p = -121 - -197. Let g = p - 530/7. Find b, given that -8/7 + 8/7*b - g*b**2 = 0.
2
Factor -2*i + 4/3 + 2/3*i**2.
2*(i - 2)*(i - 1)/3
Suppose o + 20 = -3*o, -4*f = o - 11. Determine u so that f*u**4 - 2*u - 4*u**2 + 4*u - 2*u**5 + 0*u**2 = 0.
-1, 0, 1
Let z(a) be the second derivative of -a**7/168 - a**6/40 - a**5/40 + a**4/24 + a**3/8 + a**2/8 - 6*a. Solve z(c) = 0 for c.
-1, 1
Let b(n) be the first derivative of -2/3*n**3 - 16/7*n**2 - 8/7*n - 2. Solve b(o) = 0 for o.
-2, -2/7
Let p = 69 + -67. Factor -p*u**3 - 2/5*u**2 - 6/5*u**4 + 2/5*u + 0.
-2*u*(u + 1)**2*(3*u - 1)/5
Factor -2/5*z**3 - 8/5*z**2 - 2*z - 4/5.
-2*(z + 1)**2*(z + 2)/5
Factor -3/4*d - 1/4*d**3 + 9/4 - 5/4*d**2.
-(d - 1)*(d + 3)**2/4
What is q in -3/5*q**3 + 0 - 6/5*q**2 - 3/5*q = 0?
-1, 0
Let q(v) be the third derivative of -v**8/252 - 8*v**7/315 - v**6/18 - 2*v**5/45 - 3*v**2 + 2*v. Suppose q(b) = 0. Calculate b.
-2, -1, 0
Let i(x) be the second derivative of -x + 1/60*x**4 - 1/15*x**3 + 1/10*x**2 + 0. What is c in i(c) = 0?
1
Let g be ((-175)/60)/(-1 + (-7)/(-8)). Let x(r) be the first derivative of -g*r**3 + 343/15*r**5 + 3 + 38/3*r**2 - 8/3*r + 49/12*r**4. Factor x(m).
(m + 1)*(7*m - 2)**3/3
Let y(j) be the third derivative of -j**5/80 - 11*j**4/96 - j**3/4 - 5*j**2. Find g, given that y(g) = 0.
-3, -2/3
Let g(w) be the second derivative of w**7/63 + w**6/45 - w**5/30 - w**4/18 + 17*w. Factor g(r).
2*r**2*(r - 1)*(r + 1)**2/3
Let s be 3 + -1*596/196. Let l = s - -104/147. Find y such that 2/3*y - 4/3*y**3 - 2/3 - 2/3*y**4 + l*y**5 + 4/3*y**2 = 0.
-1, 1
Let o(i) be the second derivative of i**5/10 - i**4/2 + 2*i**3/3 + 2*i. Let o(z) = 0. Calculate z.
0, 1, 2
Let u = -2 + 2. Factor -6 + 2*s**2 + 6 + u + 2*s.
2*s*(s + 1)
Let j = 657 + -653. Find n, given that 1/5*n + 1/5*n**5 + 0 + 6/5*n**3 + 4/5*n**j + 4/5*n**2 = 0.
-1, 0
Let v = -6/131 + 417/524. Factor -3*m + 6*m**2 + 0 + v*m**4 - 15/4*m**3.
3*m*(m - 2)**2*(m - 1)/4
Let v(u) be the first derivative of 5*u**6/6 + 7*u**5 + 45*u**4/2 + 100*u**3/3 + 20*u**2 - 31. Suppose v(t) = 0. What is t?
-2, -1, 0
Let j be -2*(19/2 - 1). Let h be j/(-4) - (-1)/(-4). Factor 4*b + h - 5 + 3 + 2*b**2.
2*(b + 1)**2
Let c(k) be the third derivative of 6*k**7/35 + 11*k**6/30 - 16*k**5/15 - 2*k**4/3 - 10*k**2. Find r, given that c(r) = 0.
-2, -2/9, 0, 1
Factor -6*b**4 - 2*b**3 + 3*b**2 - 6*b + 14*b**3 + b**4 - 4*b**4.
-3*b*(b - 1)**2*(3*b + 2)
Let d(i) = i**3 - 2*i**2 - i + 2. Let t(k) = 9*k**3 - 16*k**2 - 8*k + 17. Let m(u) = 51*d(u) - 6*t(u). Suppose m(f) = 0. Calculate f.
-1, 0
Let p(g) be the second derivative of g**4/3 - 16*g**3/3 + 14*g**2 - 45*g. Determine d, given that p(d) = 0.
1, 7
Let t(q) be the third derivative of q**8/560 + 3*q**7/140 + q**6/10 + q**5/5 - 7*q**3/6 - 7*q**2. Let c(b) be the first derivative of t(b). Factor c(h).
3*h*(h + 2)**3
Find o, given that 31/4*o**2 + 21/2*o**3 + 3 - 45/4*o**4 - 11*o = 0.
-1, 3/5, 2/3
Let m be 2/8 - 6/120*5. Let h(b) = -b - 1. Let w be h(-3). Factor m*x - 2/5*x**w + 0.
-2*x**2/5
Let x(s) be the second derivative of 0 + 0*s**2 + 2/75*s**6 + 1/50*s**5 + 0*s**4 + 5*s + 1/105*s**7 + 0*s**3. Factor x(w).
2*w**3*(w + 1)**2/5
Let t(j) be the third derivative of -2*j**2 - 1/90*j**5 + 0 + 1/18*j**4 + 0*j**3 + 0*j. Solve t(p) = 0 for p.
0, 2
Factor 1/3*o**2 - 1 + 2/3*o.
(o - 1)*(o + 3)/3
Let n(l) = 32*l**4 + 60*l**3 - 88*l**2 - 60*l + 80. Let b(m) = -13*m**4 - 24*m**3 + 35*m**2 + 24*m - 32. Let h(d) = -12*b(d) - 5*n(d). Factor h(g).
-4*(g - 1)**2*(g + 1)*(g + 4)
Let -b**4 - 2*b**2 + b**2 - 2*b**2 - 3*b**3 + 0*b**3 - b = 0. Calculate b.
-1, 0
Let p(l) = -l**2 + 2*l - 1. Let g(m) = -2*m**2 + 4*m - 2. Let q(s) = 6*g(s) - 10*p(s). Find t such that q(t) = 0.
1
Let u(i) be the third derivative of 0*i - 1/160*i**5 + 8*i**2 + 0 + 1/8*i**3 + 7/192*i**4. Factor u(o).
-(o - 3)*(3*o + 2)/8
Let l(m) = -15*m**3 + 15*m - 9. Let a(p) = -7*p**3 + 7*p - 4. L