erivative of h(z). Factor a(x).
-(x + 2)**2
Let n(v) = -7*v**3 + v**2 - v + 7. Let t(w) = -6*w**3 + 6. Let z(p) = -3*n(p) + 4*t(p). What is d in z(d) = 0?
-1, 1
Let t(r) = -r**2. Let v(x) = 4*x**3 - 13*x**2. Let a(u) = 5*t(u) - v(u). Solve a(w) = 0 for w.
0, 2
Factor -11*y + 20*y**2 + 18*y**3 - 2*y**3 + 19*y + 4*y**4.
4*y*(y + 1)**2*(y + 2)
Solve 3*x**2 + 6*x + 8 - 5*x**2 + 4*x**2 - x**2 = 0 for x.
-4, -2
Let y(x) be the third derivative of x**7/210 + x**6/120 - x**5/60 - x**4/24 - 8*x**2. Factor y(h).
h*(h - 1)*(h + 1)**2
Let p(u) = -u**3 - 5*u**2 - 4*u + 3. Let o be p(-4). Let v be 52/(-9) - 3*-2. Factor 2/9*a**4 + 0*a**o + 0 - v*a**2 + 0*a.
2*a**2*(a - 1)*(a + 1)/9
Let g be -1 - (2/(-1) + 3). Let c be (-2 - 1)/(3/g). What is f in -f**3 - 15 - f - 2*f**c + 15 = 0?
-1, 0
Let a = -5589/5 - -1122. Solve 72/5*o - 123/5*o**2 - a*o**5 + 57/5*o**3 - 12/5 + 27/5*o**4 = 0 for o.
-2, 2/7, 1
Let u = -4 - -6. Let a(j) be the third derivative of 0*j - 1/180*j**5 + 0*j**3 + 1/630*j**7 + 2*j**u + 0 - 1/72*j**4 + 1/360*j**6. Find h such that a(h) = 0.
-1, 0, 1
Let w = -189/5 + 38. Factor -w*z + 1/5*z**2 + 0.
z*(z - 1)/5
Let l be -4*(-9)/6 - 3. Suppose 2*h + 4*u - 26 = 0, 0 = l*h + 5*u - 40 + 6. Find f such that -f - f + 0*f**2 - 2*f**h + 0*f + 4*f**2 = 0.
0, 1
Let l(u) be the second derivative of 5*u**4/12 - 7*u**3/6 + 4*u**2 - 3*u. Let m(d) = -14*d**2 + 20*d - 23. Let n(t) = 17*l(t) + 6*m(t). Factor n(g).
(g - 1)*(g + 2)
Let j = 106 - 1483/14. Let i(u) be the first derivative of -2/21*u**3 + 2/7*u - 4 - j*u**4 + 1/7*u**2. Determine k, given that i(k) = 0.
-1, 1
Factor -5/2*o**3 + 5/4*o + 5/4*o**4 + 5/4*o**5 + 5/4 - 5/2*o**2.
5*(o - 1)**2*(o + 1)**3/4
Let s(i) be the second derivative of -i**5/10 + 2*i**4/3 - i**3 + 17*i. Factor s(u).
-2*u*(u - 3)*(u - 1)
Find k such that -12*k + 0*k**2 - 2*k**2 + 9 - 1 + 6*k**2 = 0.
1, 2
Let l be 9 + 10/((-240)/152). Factor 0*p**2 + 0*p - l*p**4 - 4/3*p**3 - 4/3*p**5 + 0.
-4*p**3*(p + 1)**2/3
Let h be (0 + -2 - 0) + 14. Factor -h*b + 18*b**2 - 12*b**3 - 1 + 8 - 3 + 3*b**4 - 1.
3*(b - 1)**4
Let x(m) be the third derivative of -m**8/1344 + 11*m**7/840 - 7*m**6/80 + 9*m**5/40 + 9*m**4/32 - 27*m**3/8 + 12*m**2. Find k, given that x(k) = 0.
-1, 3
Find s such that 0*s**3 + 2/3*s - 2/3*s**5 - 4/3*s**4 + 0 + 4/3*s**2 = 0.
-1, 0, 1
Let o(f) be the second derivative of -2*f**7/21 + 4*f**6/15 - 2*f**4/3 + 2*f**3/3 - 13*f. Determine t, given that o(t) = 0.
-1, 0, 1
Factor -1/2*f**2 + 0*f + 1/2.
-(f - 1)*(f + 1)/2
Let m(b) = 10*b**2 + 14*b + 8. Let r(w) = -20*w**2 - 28*w - 17. Let q(t) = 9*m(t) + 4*r(t). Factor q(g).
2*(g + 1)*(5*g + 2)
Let b be (4/(-9))/(20/6 - 4). Let o(c) be the first derivative of -b*c**3 - 3 - 2*c**2 - 2*c. Determine l, given that o(l) = 0.
-1
Let s be ((-15)/(-9))/((-25)/(-10)). Let 0*l - s + 2/3*l**2 = 0. What is l?
-1, 1
Suppose -4/11 - 2/11*b + 2/11*b**2 = 0. Calculate b.
-1, 2
Let k(q) = -q**2 + 56*q - 180. Let u(f) = 3*f**2 - 113*f + 360. Let y(w) = 7*k(w) + 4*u(w). Suppose y(n) = 0. Calculate n.
6
Let t = -1/34 - -445/102. Factor 38/3*f**3 + t*f + 22/3*f**4 + 5/3*f**5 + 32/3*f**2 + 2/3.
(f + 1)**4*(5*f + 2)/3
Solve -2/5*g - 3/5 + 1/5*g**2 = 0.
-1, 3
Suppose -3*y - 3*m + 12 = 0, 4 = 2*y + 2*m - 4*m. Suppose y*z - 3 - 3 = 0. Factor -3*l**2 + l**2 + z*l**2 + 3*l**2 - 3.
3*(l - 1)*(l + 1)
Suppose 9*i - 6*i = 18. Factor 2/3 + i*c**2 + 4*c + 8/3*c**3.
2*(c + 1)**2*(4*c + 1)/3
Let o(f) be the second derivative of -f**6/105 + f**4/14 - 2*f**3/21 - f. Determine b so that o(b) = 0.
-2, 0, 1
Let f = 86 + -81. Let x(u) be the second derivative of 1/30*u**f - 1/9*u**4 + u + 0 + 0*u**2 + 1/9*u**3. Factor x(q).
2*q*(q - 1)**2/3
Let a(f) be the first derivative of f**3/5 + 6*f**2/5 + 9*f/5 - 4. Find v such that a(v) = 0.
-3, -1
Let a(o) be the first derivative of 9*o**5 - 15*o**4/4 - 130*o**3/3 + 70*o**2 - 40*o + 20. Factor a(g).
5*(g - 1)*(g + 2)*(3*g - 2)**2
Let j(f) be the first derivative of 10*f**5/3 + 25*f**4/6 - 8*f**3/9 - 4*f**2/3 + 17. Suppose j(v) = 0. Calculate v.
-1, -2/5, 0, 2/5
Suppose -2*g + 18 = 2*h, 3*g + g - 8 = 3*h. Let a(y) be the third derivative of -1/12*y**h + 0*y + 0*y**3 + y**2 + 0 + 1/30*y**5. Find s such that a(s) = 0.
0, 1
Let w(r) = 2*r**3 + r - 3. Let c = 6 + -11. Let y(g) be the first derivative of 3*g**4/4 + g**2 - 5*g - 3. Let b(d) = c*w(d) + 3*y(d). Factor b(o).
-o*(o - 1)*(o + 1)
Suppose 5*u - 10 = m, -u - m - 4 = -3*u. Suppose 0 = 4*a + 4*k, -4*a + u*k - k = 0. Suppose a*n + 0 + 2/5*n**3 - 2/5*n**2 = 0. Calculate n.
0, 1
Let r(w) = -w - 3. Let b be r(-4). Suppose 0 = -n + b + 1. Factor 4*l**2 - 6*l**4 + n*l**5 - 5*l + 2 + 4*l**3 - l + 0*l.
2*(l - 1)**4*(l + 1)
Let v(t) = -t**3 + 4*t**2 - t + 8. Let q be v(4). Factor -2/9*r**q + 8/9*r + 8/9*r**3 - 4/3*r**2 - 2/9.
-2*(r - 1)**4/9
Let w = -181/2 - -5431/60. Let d(g) be the third derivative of 0*g + 0 - 1/12*g**4 + w*g**6 + 1/30*g**5 - 1/3*g**3 - g**2. Factor d(n).
2*(n - 1)*(n + 1)**2
Let f(w) be the third derivative of 0*w + 6*w**2 + 0*w**3 + 0 + 1/30*w**6 + 1/6*w**4 - 2/15*w**5. Factor f(c).
4*c*(c - 1)**2
Factor -3*b**2 - 12*b - 5 + 2 - 2 - 7.
-3*(b + 2)**2
Let i(o) = -o**4 + o**3 + o**2 + 1. Let v(n) = n**4 - 3*n**3 - 2*n**2 - 2. Let r = -10 - -11. Let q(w) = r*v(w) + 2*i(w). Factor q(s).
-s**3*(s + 1)
Let d(a) be the third derivative of -4*a**2 + 0*a**4 + 0*a**3 + 0*a + 0 + 1/270*a**5. What is u in d(u) = 0?
0
Let j(k) = -k. Let t(x) = 7*x**2 + x + 7. Let s(r) = -r**2 - 1. Let n(q) = 6*s(q) + t(q). Let d(v) = -j(v) + n(v). Factor d(h).
(h + 1)**2
Let g = -1479/2 + 740. Factor 0 - g*v**2 - 1/2*v.
-v*(v + 1)/2
Let a(c) be the first derivative of c**8/112 - c**6/20 + c**4/8 + c**2 - 3. Let r(z) be the second derivative of a(z). Factor r(u).
3*u*(u - 1)**2*(u + 1)**2
Let g = -199/5 - -40. Factor 0*r + 0*r**3 - 1/5*r**4 - g + 2/5*r**2.
-(r - 1)**2*(r + 1)**2/5
Let l = 1/20 + 17/60. Factor l*t**2 + 0 + 2/3*t.
t*(t + 2)/3
Let y = 2 - -10. Suppose y = -0*w + 4*w. Suppose -4*r**4 + 3*r**2 - 3*r**2 - r**5 - 4*r**w = 0. Calculate r.
-2, 0
Let r be 2/2*(-9)/(-3). Factor -j**3 + j**2 + 3*j**4 + 3*j**r - 4*j**4 - 2*j**2.
-j**2*(j - 1)**2
Let x(v) be the second derivative of v**4/3 - 8*v**3 + 72*v**2 - 15*v. Factor x(t).
4*(t - 6)**2
Let z = 1031/7 + -147. Suppose 4/7*m + 2/7*m**2 + z = 0. Calculate m.
-1
Let q(h) be the first derivative of h**6/300 - h**5/50 + h**4/20 - h**3/15 + 2*h**2 + 5. Let j(o) be the second derivative of q(o). What is l in j(l) = 0?
1
Let f(y) be the first derivative of y**3 + 9*y**2/2 + 6*y - 4. Solve f(g) = 0.
-2, -1
Suppose -x + 3*t - 3 = 0, 5*x = -0*t + 2*t - 2. Let l(c) be the second derivative of 0*c**3 + 0*c**2 + x + 1/24*c**4 - 2*c. Factor l(k).
k**2/2
Let b(c) be the third derivative of 0*c**4 - 1/280*c**6 + 1/140*c**5 + 8*c**2 + 0*c + 0 + 0*c**3. Factor b(g).
-3*g**2*(g - 1)/7
Let l be 2/4*((-51)/21 + 3). Factor 2/7*m**2 + 0 + 0*m + l*m**3.
2*m**2*(m + 1)/7
Let g(c) = 12*c**4 - 52*c**3 + 76*c**2 - 44*c + 8. Let w(o) = 12*o**4 - 52*o**3 + 76*o**2 - 44*o + 8. Let s(q) = 5*g(q) - 4*w(q). Factor s(z).
4*(z - 2)*(z - 1)**2*(3*z - 1)
Let b = 34 + -32. Let j(q) be the second derivative of 1/12*q**3 + 0*q**b - 1/48*q**4 + 0 - 2*q - 3/80*q**5. Suppose j(o) = 0. What is o?
-1, 0, 2/3
Suppose 14 = -4*r + 18. Let p be 4/r - (2 + -1). Let 1/4*l**4 + 1/4*l**p + 0*l**2 + 0 + 0*l = 0. What is l?
-1, 0
Determine k, given that 8 + 72*k - 133*k - 2 - k**2 + 66*k = 0.
-1, 6
Let q = -1/4 - -9/20. Let 3/5*i**4 + 1/5*i**5 + q*i**2 + 0*i + 3/5*i**3 + 0 = 0. Calculate i.
-1, 0
Let p = -5 - -5. Let n(m) be the second derivative of -1/20*m**5 + m + p*m**4 + 1/6*m**3 + 0 + 1/60*m**6 - 1/4*m**2. Let n(l) = 0. Calculate l.
-1, 1
Let s = 250 - 250. Factor -2/7*a**4 + 0 + 0*a**2 + s*a + 0*a**3 + 2/7*a**5.
2*a**4*(a - 1)/7
Let k(v) be the first derivative of 2*v**6/3 + 28*v**5/15 - v**4/3 - 28*v**3/9 - 4*v**2/3 - 14. Determine u so that k(u) = 0.
-2, -1, -1/3, 0, 1
Let v(y) = y**3 - 8*y**2 + y - 4. Let l be v(8). Factor 3*q**4 - 18*q**3 - 2*q**5 + 7*q**l + 0*q**4 + 14*q**2 - 4*q.
-2*q*(q - 2)*(q - 1)**3
Let c be 1 + 2 - (-5)/(-5). Suppose m - l = -0*l + 3, 7 = c*m - 3*l. Factor -f**2 + 3*f - 5*f - f**m.
-2*f*(f + 1)
Let u(a) = 3*a**2 + 10*a + 3. Let m(p) = -6*p**2 - 21*p - 6. Let r(b) = 4*m(b) + 9*u(b). Factor r(v).
3*(v + 1)**2
Let k(h) be th