that -9/4*a**2 + 3*a**3 - p*a + 0 = 0.
-1/4, 0, 1
Let d(f) be the third derivative of -f**8/112 + f**7/35 + f**6/20 - 2*f**5/5 + 7*f**4/8 - f**3 - 14*f**2. Solve d(l) = 0.
-2, 1
Suppose 3*p + 3*r + 3 = 0, -p - 1 + 0 = -5*r. Let s be (-6)/(-10) - p/(-5). Factor 4/5 + s*d**2 - 6/5*d.
2*(d - 2)*(d - 1)/5
Let 2 + 9/4*n - 7/4*n**2 - 1/4*n**4 - 9/4*n**3 = 0. Calculate n.
-8, -1, 1
Determine f so that -2/7*f + 4/7*f**3 - 4/7 - 4/7*f**4 + 8/7*f**2 - 2/7*f**5 = 0.
-2, -1, 1
Suppose 5*b = 3*q, 0 = 4*q + 2*b + 2*b. Let 1/4*m**2 + q - 1/4*m = 0. What is m?
0, 1
Let y be 23/2 - 2/4. Let w be (-2)/y - (-6)/33. What is a in 4/5*a**2 + 2/5*a + 2/5*a**3 + w = 0?
-1, 0
Suppose 12*g = 17*g. Let w(s) be the second derivative of 0*s**4 + 2/9*s**3 + g + s + 1/3*s**2 - 1/45*s**6 - 1/15*s**5. Determine k so that w(k) = 0.
-1, 1
Let z(w) = -w**2 + w + 1. Let i be z(-2). Let c(j) = j**2 + j + 2. Let d(l) = -3*l**2 - 3*l - 5. Let n(k) = i*c(k) - 2*d(k). Factor n(f).
f*(f + 1)
Let k(r) be the third derivative of 0*r**3 + 1/12*r**8 + 2/15*r**5 - 4/105*r**7 - 7/30*r**6 + 0*r + 0*r**4 + 8*r**2 + 0. Let k(u) = 0. Calculate u.
-1, 0, 2/7, 1
Let w(j) be the third derivative of -j**5/12 - 5*j**4/12 + 5*j**3/2 + 8*j**2. Find l such that w(l) = 0.
-3, 1
Let t(x) be the first derivative of x**4/24 + x**3/6 - 5. Suppose t(y) = 0. Calculate y.
-3, 0
Let o = -11 + 8. Let p(k) = k**2 - k - 1. Let g(q) = -3*q**3 - 9*q**2 + 3. Let u(y) = o*p(y) - g(y). Suppose u(i) = 0. Calculate i.
-1, 0
Suppose -4*w + 7 = -5. Factor -5*b + 4*b**2 + 2*b**w + 5*b.
2*b**2*(b + 2)
Let -16*c - 4*c**2 + c**4 + 5*c**2 + 2*c**3 + 16*c = 0. What is c?
-1, 0
Let k(c) = -5*c**2 - 4. Let a(s) = 10*s**2 + 9. Let r(l) = 4*a(l) + 9*k(l). Factor r(h).
-5*h**2
Let f = 18 + -14. Let y(m) be the third derivative of 0 + 2*m**2 + 0*m**3 + 1/45*m**5 - 1/72*m**f - 1/1008*m**8 + 0*m - 1/60*m**6 + 2/315*m**7. Factor y(r).
-r*(r - 1)**4/3
Let b = 10 - 10. Let b*z + 0 - 2/5*z**2 - 2/5*z**3 = 0. Calculate z.
-1, 0
Let p be (6/(-5))/(4/(-10)). Let m(z) be the first derivative of 2/3*z**p + 2 + 8*z + 4*z**2. Suppose m(h) = 0. Calculate h.
-2
Let b(s) be the second derivative of 0 - 1/24*s**3 - 1/240*s**5 + 1/48*s**4 + s - 3/2*s**2. Let w(t) be the first derivative of b(t). Factor w(p).
-(p - 1)**2/4
Let k = 10 - 8. Factor 45 - 4*q**k + q**4 + 2*q**2 - 44.
(q - 1)**2*(q + 1)**2
Let y(m) be the third derivative of 7/360*m**6 + 1/20*m**5 + 1/36*m**4 + 0*m**3 + 4*m**2 + 0 + 0*m. Solve y(t) = 0 for t.
-1, -2/7, 0
Suppose -1 = -3*t - k, -4*t = -0*k + k - 3. Find a, given that a**2 - 9*a**3 + 9*a**4 + 0*a**5 + 2*a**t - a**5 - 2*a**5 = 0.
0, 1
Let j(p) = 4*p**2 - 4. Let l(w) = 4 + 2 + 5 - 2 - 9*w**2. Let v(r) = -5*j(r) - 2*l(r). Let v(b) = 0. Calculate b.
-1, 1
Factor -10*t**3 - 14*t**4 + 0*t**3 + 0*t + 0*t + 4*t**2.
-2*t**2*(t + 1)*(7*t - 2)
Let b(z) = -4*z**2 - 13*z - 1. Let r(u) = 16*u**2 + 52*u + 3. Let j(h) = -9*b(h) - 2*r(h). Factor j(g).
(g + 3)*(4*g + 1)
Let r(g) be the first derivative of -g**4/24 - g**3/9 - g**2/12 + 5. Factor r(k).
-k*(k + 1)**2/6
Let n(v) be the second derivative of 0 + 1/60*v**5 + 9/2*v**2 + 5*v + 3/2*v**3 + 1/4*v**4. Factor n(q).
(q + 3)**3/3
Let m(j) be the first derivative of -j**4/16 + j**2/8 + 5. Factor m(b).
-b*(b - 1)*(b + 1)/4
Let x(i) = -6*i**5 - 5*i**4 + 21*i**3 + 2*i**2 - 7*i + 5. Let b(q) = 3*q**5 + 2*q**4 - 10*q**3 - q**2 + 3*q - 3. Let c(f) = -5*b(f) - 3*x(f). Factor c(p).
p*(p - 1)**2*(p + 3)*(3*p + 2)
Let z = -2 - -5. Factor 5*o**3 + 3*o - 2*o**z + 3*o**2 + 1 - 2*o**3.
(o + 1)**3
Let g(u) be the first derivative of -5*u**6/6 + 7*u**5 - 95*u**4/4 + 125*u**3/3 - 40*u**2 + 20*u - 10. Factor g(m).
-5*(m - 2)**2*(m - 1)**3
Let d be (-1)/((-4)/(-24)*-3). Let u(c) = 4*c - 4. Let b be u(3). Factor -b*h**3 + 3*h**4 + 2*h**3 + 0*h**3 - 2*h**5 + d*h**2 + 3*h**4.
-2*h**2*(h - 1)**3
Solve -2/5*k + 6/5*k**2 - 6/5 + 2/5*k**3 = 0 for k.
-3, -1, 1
Let g(q) = 2*q + 2*q - q**3 + 2*q**2 - 5*q**2 - 1 + 3. Let l be g(-4). Factor -2*j**3 - j - l*j**2 + 2*j**3 - j**3.
-j*(j + 1)**2
Let j = -56 - -38. Let y = j - -31. Factor y*s**5 + 0*s**4 - 3*s**5 - 4*s**4.
2*s**4*(5*s - 2)
Let f(x) be the third derivative of -2*x**7/105 - x**6/15 + x**4/3 + 2*x**3/3 - 2*x**2. Determine z, given that f(z) = 0.
-1, 1
Let p = 31029/8 - 2078131/536. Let k = p - 1/67. Factor -1/2 - 3/2*v**2 + 1/2*v**3 + k*v.
(v - 1)**3/2
Let y be (4/(-7))/((-1)/1). Let g = 7 - 47/7. Factor 0*q**3 - 2/7*q + g*q**5 + 4/7*q**4 + 0 - y*q**2.
2*q*(q - 1)*(q + 1)**3/7
Suppose -s = -0*s - 2. Solve 4*a - a**3 + 3*a**2 - s*a + 1 - 5*a = 0 for a.
1
Let h be (1 - -1)*12/8. Let x be h - 1 - (-3)/(-2). Suppose x*o**2 + 0 - o = 0. Calculate o.
0, 2
Let d(k) = 9*k**4 - k**3 + k**2 - 9*k - 5. Let f(w) = -8*w**4 + 8*w + 4. Let q(j) = -4*d(j) - 5*f(j). Suppose q(x) = 0. Calculate x.
-1, 0, 1
Let o be -2*-3*(-2)/(-4). Let k(i) be the first derivative of -1/3*i**o + 0*i**2 + 1 - 1/4*i**4 + 0*i. What is d in k(d) = 0?
-1, 0
Suppose -c + 12 = c + 4*f, -c - f + 4 = 0. Let u(k) = -k**2 - 2 + c + 1. Let w(g) = 2*g**2 - 2. Let h(v) = 7*u(v) + 4*w(v). Factor h(x).
(x - 1)*(x + 1)
Let y(l) be the first derivative of -2*l**5/5 - l**4 + 7. Factor y(a).
-2*a**3*(a + 2)
Let j(t) be the third derivative of 1/90*t**5 - 1/54*t**4 - 1/540*t**6 - 5*t**2 + 0*t + 0*t**3 + 0. Let j(n) = 0. Calculate n.
0, 1, 2
Suppose k + 11 = 4*z, k + 1 = -2. Let m(j) be the first derivative of 1/4*j**4 + 0*j**2 + z - 1/6*j**6 + 0*j + 1/5*j**5 - 1/3*j**3. Find d such that m(d) = 0.
-1, 0, 1
Let s(x) be the first derivative of -x**6/8 + 3*x**5/20 + 3*x**4/8 - x**3/2 - 3*x**2/8 + 3*x/4 + 33. Factor s(v).
-3*(v - 1)**3*(v + 1)**2/4
Let h(j) = j**3 - 13*j**2 + 13*j - 10. Let n be 790/65 + (-4)/26. Let z be h(n). Let -1/4*d**4 + 1/4*d**z + 0*d + 0*d**3 + 0 = 0. What is d?
-1, 0, 1
Suppose 6*g + 20 = g. Let u be 6/g + 6/4. Factor -r**2 + 2 + 2*r + 0 + u*r**2 - r.
-(r - 2)*(r + 1)
Let h(o) be the second derivative of -2*o**2 - 5/3*o**4 + 3*o**3 - 5/21*o**7 - o + 0 + 4/5*o**6 - 2/5*o**5. Solve h(f) = 0.
-1, 2/5, 1
Factor 5*i**2 + 0 - 5/4*i**4 + 10*i - 5/2*i**3.
-5*i*(i - 2)*(i + 2)**2/4
Let c(p) = 4*p**4 + 3*p**3 - 6*p**2 - 3*p + 2. Let n(m) = m**4 - m**2. Let r(u) = -c(u) + 5*n(u). Factor r(q).
(q - 2)*(q - 1)**2*(q + 1)
Let p(h) = 9*h**4 - 5*h**3 - 7*h**2 - h - 2. Let n = -4 - 0. Let w(k) = 27*k**4 - 16*k**3 - 22*k**2 - 3*k - 7. Let d(b) = n*w(b) + 14*p(b). Factor d(j).
2*j*(j - 1)*(3*j + 1)**2
Suppose -4*p + 8 + 0 = 0. Determine b so that 7*b**p - b**2 + 3*b - b - 5*b = 0.
0, 1/2
Let k = 445/1748 + -2/437. Factor 9/4 - 3/2*f + k*f**2.
(f - 3)**2/4
Let f = 609/4 - 152. Find u such that 0 + 0*u + 3/4*u**4 + f*u**2 + u**3 = 0.
-1, -1/3, 0
Let h(g) be the first derivative of 2*g**5/35 - g**4/14 - 10*g**3/21 - 3*g**2/7 - 4. Factor h(s).
2*s*(s - 3)*(s + 1)**2/7
Let k(x) be the first derivative of x**3/21 - x**2/7 + 7. Factor k(d).
d*(d - 2)/7
Let y = -47 + 47. Factor y + 2/3*s**2 + 0*s + 2/3*s**3.
2*s**2*(s + 1)/3
Factor -5*r - 2*r**4 + 5*r**2 + 0*r**4 + 7*r - 3*r**2 - 2*r**3.
-2*r*(r - 1)*(r + 1)**2
Let u(p) = -p**2 - p + 1. Let k(x) = x**3 - 15*x**2 - 7*x + 11. Let t(h) = -2*k(h) + 22*u(h). Factor t(j).
-2*j*(j - 2)**2
Suppose l - 7*l = 420. Let z be (8/(-3))/(l/42). Factor -z - 162/5*d**2 - 72/5*d.
-2*(9*d + 2)**2/5
Let i(x) be the second derivative of -x**6/900 - x**5/75 - x**4/15 + x**3/2 + x. Let z(d) be the second derivative of i(d). Determine o so that z(o) = 0.
-2
Let -q**3 + 0*q + 0 + 1/2*q**4 + 0*q**2 = 0. What is q?
0, 2
Suppose 0 - 8/5*c - 2/5*c**5 + 4/5*c**4 + 6/5*c**3 - 8/5*c**2 = 0. Calculate c.
-1, 0, 2
Let y(a) be the third derivative of -a**8/8960 - a**7/3360 + a**6/960 + a**5/160 - a**4/12 - 6*a**2. Let p(q) be the second derivative of y(q). Factor p(j).
-3*(j - 1)*(j + 1)**2/4
Let m(y) be the first derivative of y**6/2340 - 2*y**5/195 + 4*y**4/39 - 8*y**3/3 + 4. Let j(r) be the third derivative of m(r). Factor j(q).
2*(q - 4)**2/13
Let m be 2 - (1 + -1 + -2). Let k(q) be the first derivative of 2 + 1/2*q**4 - 3*q**2 + m*q + 0*q**3. Factor k(s).
2*(s - 1)**2*(s + 2)
Let g(u) be the second derivative of u**7/8820 - u**6/2520 - u**5/210 - u**4/6 - 3*u. Let c(h) be the third derivative of g(h). Suppose c(f) = 0. Calculate f.
-1, 2
Let g(s) = 7*s**2 - 7*s + 7. Let n be (-9 + 10)/((-1)/(-2)). Let r