en that y(m) = 0.
-1, -2/3, 0, 1
Suppose -2*g + 18 = g - u, 2*u + 21 = 3*g. Let h(o) be the third derivative of -3*o**2 + 1/36*o**4 - 1/180*o**6 + 0*o + 0 - 1/9*o**3 + 1/90*o**g. Factor h(m).
-2*(m - 1)**2*(m + 1)/3
Let q be 1 + 7 - (-3)/(-1). Solve -8*b**2 + 4*b**2 + b**3 + q*b**3 + 8*b**3 = 0.
0, 2/7
Let x(p) = -9*p**2 + 24*p - 24. Let l(g) = 10*g**2 - 25*g + 25. Let a(j) = -4*l(j) - 5*x(j). Suppose a(i) = 0. What is i?
2
Let h(k) be the first derivative of -k**6/360 + k**5/30 - k**4/6 + 2*k**3/3 - 2. Let z(t) be the third derivative of h(t). Factor z(f).
-(f - 2)**2
Let 11 + 3*h**2 + 22 - 14*h - 16*h - 6*h**2 = 0. Calculate h.
-11, 1
Let o(y) be the first derivative of -1/360*y**6 + 0*y**4 + 0*y**3 + 1/2*y**2 + 0*y + 1/180*y**5 - 2. Let x(p) be the second derivative of o(p). Factor x(s).
-s**2*(s - 1)/3
Suppose -36*m = -32*m. Let n(b) be the second derivative of 0*b**2 - 1/120*b**6 + 2*b + m*b**3 + 1/80*b**5 + 0 + 0*b**4. Find a such that n(a) = 0.
0, 1
Let h(r) be the first derivative of r**5 - 15*r**4/4 + 10*r**2 - 4. Factor h(f).
5*f*(f - 2)**2*(f + 1)
Let k(n) be the first derivative of -n**2 + 1/6*n**3 - 1/60*n**5 + 0*n**4 + 0*n - 1. Let z(m) be the second derivative of k(m). Factor z(b).
-(b - 1)*(b + 1)
Let u = 6/5 - 7/6. Let w(n) be the second derivative of 0 + 0*n**2 + u*n**6 + 0*n**3 - 5*n + 1/12*n**4 - 1/10*n**5. Determine k, given that w(k) = 0.
0, 1
Let p(u) = -u + 34. Let l be p(13). Let k be (-36)/l*(-12)/18. Determine s, given that -k*s - 2/7*s**4 - 2/7 - 8/7*s**3 - 12/7*s**2 = 0.
-1
Let k(j) be the third derivative of j**7/2100 + j**3/3 + 2*j**2. Let d(y) be the first derivative of k(y). Find g such that d(g) = 0.
0
Let o = -1076/7 - -154. Determine u so that 2/7 + 0*u - o*u**2 = 0.
-1, 1
Let f(r) be the second derivative of 0 + 0*r**2 + 1/9*r**4 + 1/9*r**3 + 1/30*r**5 - 3*r. Factor f(m).
2*m*(m + 1)**2/3
Let z = 557/2 + -278. Suppose z*l**2 - 1/2*l**5 + 0 + 1/2*l**3 + 0*l - 1/2*l**4 = 0. Calculate l.
-1, 0, 1
Let b be (288/(-50))/((-1)/(-10)). Let c = 58 + b. Factor 0 - 1/5*r**5 - 1/5*r + 0*r**4 + 0*r**2 + c*r**3.
-r*(r - 1)**2*(r + 1)**2/5
Let v(r) be the first derivative of 2*r**5/5 - 3*r**4/2 + 2*r**3 - r**2 + 20. Factor v(t).
2*t*(t - 1)**3
Let t(w) = -w**3 - w + 2. Let z be t(0). Let i = 981/20 + -193/4. Determine f, given that -i*f**3 + 2/5*f**4 - 2/5 + 0*f**z + 4/5*f = 0.
-1, 1
Let m(t) = -6*t**5 + 2*t**4 + 2*t**3 - 6*t**2 + 5. Let f(y) = y. Let c be f(5). Let n(j) = j**5 - j**4 - j**3 + j**2 - 1. Let q(b) = c*n(b) + m(b). Factor q(x).
-x**2*(x + 1)**3
What is b in 4/11 + 4/11*b**4 - 6/11*b**5 + 20/11*b**3 - 24/11*b**2 + 2/11*b = 0?
-2, -1/3, 1
Let 1/3*r**5 + 2/3*r + 7/3*r**2 + 5/3*r**4 + 3*r**3 + 0 = 0. Calculate r.
-2, -1, 0
Let a = -144/293 - -178566/2051. Let l = -86 + a. Find o such that -l + 2/7*o**2 + 2/7*o = 0.
-2, 1
Find g such that 0 + 0*g + g**4 + 0*g**3 - 4/3*g**2 - 1/3*g**5 = 0.
-1, 0, 2
Let v(z) be the first derivative of -2*z**6/3 + 4*z**5 - 8*z**4 + 16*z**3/3 - 16. Factor v(f).
-4*f**2*(f - 2)**2*(f - 1)
Let z(t) be the first derivative of 1/12*t**3 + 0*t - 1 - 1/8*t**2. Let z(v) = 0. What is v?
0, 1
Determine u so that -14*u**2 - 21*u**2 + 60*u**2 - 21*u**2 = 0.
0
Let x(k) = 2*k**4 - 4*k**3 - 2*k**2 + 2. Let g(d) = -3*d**4 + 7*d**3 + 5*d**2 + d - 5. Let f(r) = 2*g(r) + 5*x(r). Let f(y) = 0. What is y?
-1/2, 0, 1
Let h(c) be the first derivative of c**6/18 + 2*c**5/15 + c**4/12 - 8. Find q, given that h(q) = 0.
-1, 0
Let k(z) be the first derivative of 8*z**5/35 - 2*z**4/7 - 22*z**3/21 + 6*z**2/7 + 18*z/7 - 12. Suppose k(f) = 0. What is f?
-1, 3/2
Let q(s) be the third derivative of -s**8/112 - s**7/70 + 3*s**6/160 + s**5/40 - s**4/32 + 6*s**2. Factor q(l).
-3*l*(l + 1)**2*(2*l - 1)**2/4
Factor -1/5 - 1/5*o**4 - 4/5*o**3 - 4/5*o - 6/5*o**2.
-(o + 1)**4/5
Let l be 4*-1 + (-120)/(-28). Factor 0 + 0*z**2 + l*z**3 + 0*z.
2*z**3/7
Determine d so that 2/3*d**4 + 12*d**2 + 32/3*d + 16/3*d**3 + 10/3 = 0.
-5, -1
Let p(h) be the third derivative of h**7/1155 - 4*h**5/165 + 16*h**3/33 - 4*h**2. Factor p(v).
2*(v - 2)**2*(v + 2)**2/11
Let p(c) = 3*c**3 + 31*c**2 + 81*c + 77. Let s = -31 + 26. Let f(u) = -3*u**3 - 32*u**2 - 81*u - 76. Let z(a) = s*p(a) - 4*f(a). Factor z(g).
-3*(g + 3)**3
Let c(a) be the second derivative of -a**7/105 - 8*a**6/75 - 12*a**5/25 - 16*a**4/15 - 16*a**3/15 + 20*a. Factor c(o).
-2*o*(o + 2)**4/5
Let q(d) = -2*d**3 - 2*d**2 - 4. Let a(b) = -6*b**3 - 6*b**2 - 11. Let x(o) = 4*a(o) - 11*q(o). Factor x(l).
-2*l**2*(l + 1)
Let d(v) be the first derivative of -v**3 + 9/4*v**4 + 1/2*v**6 + 0*v + 0*v**2 - 3 - 9/5*v**5. Suppose d(g) = 0. What is g?
0, 1
Let f = -671 - -671. Find z, given that -8/11*z**4 + f - 2/11*z**3 + 8/11*z**2 + 2/11*z = 0.
-1, -1/4, 0, 1
Let j(r) be the second derivative of r**6/10 - r**5/10 - r**4/12 + 4*r. Solve j(w) = 0 for w.
-1/3, 0, 1
Let g be 93/(-186)*(-32)/5. Suppose 32/5*r**3 + 2/5 + g*r**2 - 14/5*r = 0. What is r?
-1, 1/4
Let w(v) = 3*v**4 - 7*v**3 + 5*v**2 - 6*v. Let d(p) = 4*p**4 - 8*p**3 + 4*p**2 - 6*p. Suppose -2*s = 3*s + 30. Let u(i) = s*w(i) + 5*d(i). Solve u(z) = 0.
-3, 0, 1
Let q(n) = -n**2 + n + 2. Let v be q(0). Let c(m) be the first derivative of 0*m**v + 2 - 2/5*m**5 + 1/3*m**6 + 2/3*m**3 - 1/2*m**4 + 0*m. Solve c(s) = 0.
-1, 0, 1
Let w(v) be the first derivative of v**6/6 - 4*v**5/15 - v**4/12 + 2*v**3/9 + 7. Factor w(l).
l**2*(l - 1)**2*(3*l + 2)/3
Let n(c) be the second derivative of 6*c + 1/30*c**5 + 0*c**3 + 0*c**4 + 0*c**2 + 0 - 1/45*c**6. Suppose n(t) = 0. What is t?
0, 1
Let x(w) be the second derivative of -w**6/270 + w**5/90 - w**4/108 - 3*w**2/2 - 3*w. Let t(v) be the first derivative of x(v). Factor t(a).
-2*a*(a - 1)*(2*a - 1)/9
Let k(s) = -s**3 + 5*s**2 + 6*s. Let i be k(6). Find j, given that -1/2*j**2 + i*j + 5/4*j**3 + 0 + 7/4*j**4 = 0.
-1, 0, 2/7
Suppose -2*n + 2 + 2 = 0. Suppose -2 + l - 7*l + 2*l**3 - n = 0. Calculate l.
-1, 2
Let k(u) = 25*u + 3. Let g be k(0). Solve 0 - 1/2*l**2 + 1/2*l**4 + 0*l**g + 0*l = 0 for l.
-1, 0, 1
Let z(h) be the first derivative of 4/3*h**3 - h - 2 - 2*h**2 + 5/12*h**4. Let k(c) be the first derivative of z(c). Factor k(x).
(x + 2)*(5*x - 2)
Let x = 7 + -3. Let v(p) be the second derivative of 0*p**5 + 0*p**x + 0 - 2*p + 0*p**2 + 0*p**3 + 1/120*p**6. Find s such that v(s) = 0.
0
Let m be (-22)/(-121) + (-16)/(-33). Find r such that 2/3*r**2 - m + 0*r = 0.
-1, 1
Let r(g) = 3*g**2 - 6*g + 1. Let f be r(12). Let y be 4/18 - f/(-684). Determine x so that 1/4*x + 3/4*x**2 + y*x**3 + 0 + 1/4*x**4 = 0.
-1, 0
Let f(v) be the second derivative of 0 + 0*v**3 + 2*v - 1/12*v**4 + 7/40*v**5 + 0*v**2. Factor f(n).
n**2*(7*n - 2)/2
Factor -28*a**5 - 52*a**5 + 8*a**2 + 75*a**3 + 2*a**2 + 120*a**4.
-5*a**2*(a - 2)*(4*a + 1)**2
Suppose 0*t + 5*t = 0. Suppose 3/2*r - 3*r**3 + t + 0*r**2 + 0*r**4 + 3/2*r**5 = 0. Calculate r.
-1, 0, 1
Let 1/2*x**2 - 3/2*x + 1 = 0. Calculate x.
1, 2
Suppose -2*u = 16*x - 12*x - 26, -5*u + 5*x = 10. Factor 3/5*w + 0 + 3/5*w**u + 6/5*w**2.
3*w*(w + 1)**2/5
Factor -118*s**3 + 4*s**2 + s**5 - 3*s**4 + 118*s**3.
s**2*(s - 2)**2*(s + 1)
Let w be 1*6/(-27)*-3. Factor -w + 0*v**2 - 4/3*v**3 + 4/3*v + 2/3*v**4.
2*(v - 1)**3*(v + 1)/3
Factor 0*f**2 - f**5 + 4*f**4 + 2*f**2 - f + 0*f**5 - 10*f - 6 + 12*f**3.
-(f - 6)*(f - 1)*(f + 1)**3
Let m(n) be the first derivative of -n**4/2 - 4*n**3 - 5*n**2 + 6. Factor m(a).
-2*a*(a + 1)*(a + 5)
Let 4*b - 4*b**2 - 4*b**3 - 7 - 4*b**2 + 15 = 0. Calculate b.
-2, -1, 1
Let d(t) = -t**4 + t**3 + t**2 + t - 1. Let z(g) = -2*g**4 + 6*g**3 + 3*g**2 - g - 3. Let s(w) = 3*d(w) - z(w). Find n such that s(n) = 0.
-2, 0, 1
Let n(d) be the second derivative of 0*d**3 + 1/24*d**7 + 11/80*d**5 + 1/24*d**4 + 0*d**2 + 2/15*d**6 + 0 + 4*d. Factor n(u).
u**2*(u + 1)**2*(7*u + 2)/4
Let g(k) be the first derivative of -2*k**3/3 - 4*k**2 - 6*k + 6. Let g(t) = 0. Calculate t.
-3, -1
Let n(r) = -r**3 - 31*r**2 - 83*r + 7. Let l be n(-3). Let g be (-1)/2*(-1 + 1). Factor 2/5*o**5 + 0*o + g + 0*o**3 + 0*o**2 + 2/5*o**l.
2*o**4*(o + 1)/5
Solve 63/5*t**2 - 441/5*t - 3/5*t**3 + 1029/5 = 0 for t.
7
Let f(m) be the third derivative of -m**2 + 0*m + 1/105*m**5 + 0 + 1/420*m**6 + 0*m**3 + 1/84*m**4. Find y such that f(y) = 0.
-1, 0
Let l(w) be the first derivative of w**3/12 + w**2/4 - 3