) = 12*a(t) + n(t). Factor p(r).
-4*(r - 1)*(r + 1)*(r + 2)**2
Let s(h) = h**2 + h + 1. Let d(g) = -4*g**2 - 4*g - 3. Suppose -v = -3*v + 16. Suppose -11 = -3*u - 2. Let i(w) = u*d(w) + v*s(w). Factor i(m).
-(2*m + 1)**2
Let x = -9 + 11. Factor 3*r + x*r**3 - r - 4*r.
2*r*(r - 1)*(r + 1)
Suppose 4*c = -c + 5. Let l = c - 1. Factor y**4 - 2*y**3 + l*y**2 - 2*y**4 - y**2.
-y**2*(y + 1)**2
Let n = -137 - -140. Let f(a) be the second derivative of 0 - 1/12*a**4 + 1/2*a**n - a - a**2. Factor f(m).
-(m - 2)*(m - 1)
Let n be 5 - (-23 + -2)/(-5). Find s, given that n*s + 6/5*s**2 - 8/5 + 2/5*s**3 = 0.
-2, 1
Let t(v) = v + 5. Let d be t(-6). Let m be (4/(-16))/(d/2). Factor -1/4*y**5 + 1/4*y + 0 + 1/2*y**2 + 0*y**3 - m*y**4.
-y*(y - 1)*(y + 1)**3/4
Let u(j) be the first derivative of j**5/70 - j**3/21 - 2*j - 4. Let s(k) be the first derivative of u(k). Factor s(a).
2*a*(a - 1)*(a + 1)/7
Let j(p) be the second derivative of -p**6/70 + 3*p**5/70 - p**4/28 - 5*p. Factor j(x).
-3*x**2*(x - 1)**2/7
Let y(k) be the first derivative of 9*k**5/5 + 21*k**4/4 + 2*k**3 + 12. Suppose y(u) = 0. What is u?
-2, -1/3, 0
Let g(u) be the second derivative of u**4/30 - u**2/5 - 3*u. Factor g(m).
2*(m - 1)*(m + 1)/5
Factor 2*b - 4/9 - 8/3*b**2 + 10/9*b**3.
2*(b - 1)**2*(5*b - 2)/9
Let t = -5 + 8. Let l**t + 0*l**4 + 3*l**5 - 2*l**5 + 6*l**4 - 4*l**4 = 0. Calculate l.
-1, 0
Let t(l) be the third derivative of l**7/420 + l**6/240 - l**5/60 - l**2 - 1. Determine w, given that t(w) = 0.
-2, 0, 1
Let u = -81 + 165/2. Let z = 335/2 + -167. Factor -z - d**2 + u*d.
-(d - 1)*(2*d - 1)/2
Let b(p) be the first derivative of -2/5*p**5 + 2/3*p**3 + 0*p**2 - 1/2*p**4 + 0*p + 2 + 1/3*p**6. Solve b(t) = 0 for t.
-1, 0, 1
Factor 22*w**2 - 19*w**2 - 3 + 3.
3*w**2
Suppose 3*u + 9/2 + 1/2*u**2 = 0. Calculate u.
-3
Let t(u) be the third derivative of 2*u**5/35 + u**4/21 - u**3/21 - 17*u**2. Find q such that t(q) = 0.
-1/2, 1/6
Let b be (5/(-70))/(15/(-2)). Let v(o) be the third derivative of 1/3*o**3 + 0*o + 0*o**4 + 0 - 1/15*o**5 + 0*o**6 + b*o**7 - o**2. Solve v(f) = 0.
-1, 1
Let z(r) = 2*r + 2. Let y be z(0). Factor 7/2*d**4 + 0 + 0*d + d**3 - 1/2*d**2 + y*d**5.
d**2*(d + 1)**2*(4*d - 1)/2
Let h(k) be the second derivative of 1/80*k**5 + 0 - 1/8*k**2 - 1/24*k**3 + 1/48*k**4 - 3*k. Factor h(d).
(d - 1)*(d + 1)**2/4
Let k = 12 + -8. Suppose 4*b - k = 4. What is p in -b*p**3 + 9 - 2*p + p**4 + 4*p - 10 = 0?
-1, 1
Let d(j) be the third derivative of j**5/480 - j**4/48 - j**3/4 - 9*j**2 - 2*j. Let d(s) = 0. Calculate s.
-2, 6
Let h(t) = 4*t**5 - 45*t**4 + 34*t**3 - 26*t**2 - 11*t + 11. Let j(y) = y**5 - 9*y**4 + 7*y**3 - 5*y**2 - 2*y + 2. Let v(m) = 2*h(m) - 11*j(m). Factor v(z).
-3*z**2*(z - 1)**3
Let n = -177 + 177. Let n + 1/2*r - 1/2*r**2 - r**3 = 0. Calculate r.
-1, 0, 1/2
Let l = -28 + 28. Let t(z) be the second derivative of -1/42*z**7 + l*z**3 - 1/15*z**6 + 0*z**2 + 0*z**4 - 2*z - 1/20*z**5 + 0. Solve t(j) = 0 for j.
-1, 0
Let l be (2 - 0) + 1/(-9). Let u = l + -67/45. Find i, given that -u*i**5 + 0 - 4/5*i**4 + 4/5*i**2 + 2/5*i + 0*i**3 = 0.
-1, 0, 1
Let t(u) be the third derivative of -u**8/420 + u**6/150 - 2*u**2 + 27*u. Factor t(y).
-4*y**3*(y - 1)*(y + 1)/5
Let y(d) = d**3 + 13*d**2 + 13*d - 6. Let z be y(-12). Let u be (-27)/(-5) - z/(-45). Factor 0 + 0*g**2 + 2/11*g**3 + 2/11*g**u - 4/11*g**4 + 0*g.
2*g**3*(g - 1)**2/11
Let t(c) be the third derivative of c**8/23520 + c**7/4410 + c**4/12 + 2*c**2. Let s(w) be the second derivative of t(w). Let s(h) = 0. What is h?
-2, 0
Let b = -7 - -25/3. Factor -2*g + b + 2/3*g**3 + 0*g**2.
2*(g - 1)**2*(g + 2)/3
Let g(k) be the first derivative of k**6/24 + k**5/10 + 8. Solve g(o) = 0 for o.
-2, 0
Let z(r) = 16*r - 4. Let k be z(2). Let l be 76/k + (-8)/(-28). Factor 0 + 1/5*t**2 + 0*t + 1/5*t**l.
t**2*(t + 1)/5
Let c(h) = -10*h + 172. Let r be c(17). Let 2/3*b - 2/3*b**3 + b**4 + 1/3 - 4/3*b**r = 0. Calculate b.
-1, -1/3, 1
Let w be -3*(-2)/(-6)*0. Determine g so that 8/9*g**2 + 8/9*g**3 + 0 + 2/9*g**4 + w*g = 0.
-2, 0
Let p(y) be the third derivative of 0 - 2*y**2 + 0*y + 1/3*y**3 - 1/8*y**4 + 1/60*y**5. Factor p(d).
(d - 2)*(d - 1)
Let x(j) = -2*j + 6. Let u be x(3). Let h(k) be the third derivative of u*k**4 - 1/210*k**5 + 1/21*k**3 + 2*k**2 + 0*k + 0. Factor h(q).
-2*(q - 1)*(q + 1)/7
Let n = -3 - -3. Let v(j) be the second derivative of 0 - 2*j + 0*j**2 + 1/105*j**7 + n*j**4 + 1/75*j**6 + 0*j**5 + 0*j**3. What is l in v(l) = 0?
-1, 0
Let g be 28/4 + -7 + 4. Let f(w) be the third derivative of -3*w**2 + 1/420*w**6 + 0*w - 2/21*w**3 - 2/105*w**5 + 5/84*w**g + 0. Let f(p) = 0. What is p?
1, 2
Let d(g) be the first derivative of 1/2*g**2 + 1/4*g**3 - 2 - 1/40*g**5 + 0*g**4 + 2*g. Let p(z) be the first derivative of d(z). Suppose p(w) = 0. Calculate w.
-1, 2
Let -4/3*u**3 - 2/3*u - 7/3*u**2 + 1/3 = 0. Calculate u.
-1, 1/4
Let k be (-26)/(-39) - 1/3. Factor -2/3*l**2 - k*l - 1/3*l**3 + 0.
-l*(l + 1)**2/3
Let p(t) be the first derivative of 20*t**3/3 - 5*t**2/2 + 18. Let p(u) = 0. Calculate u.
0, 1/4
Let b(l) be the second derivative of -l + 0 + 0*l**2 + 14/15*l**6 + 9/4*l**5 - 7/3*l**4 - 7/6*l**7 + 2/3*l**3. Determine h so that b(h) = 0.
-1, 0, 2/7, 1
Factor -1/3*w + 1/6*w**4 + 0*w**2 + 1/3*w**3 - 1/6.
(w - 1)*(w + 1)**3/6
Let s(k) be the third derivative of 1/3*k**3 - 1/336*k**8 + 0*k + 2*k**2 + 1/30*k**5 - 2/105*k**7 - 1/30*k**6 + 5/24*k**4 + 0. Factor s(n).
-(n - 1)*(n + 1)**3*(n + 2)
Let t(l) be the second derivative of -1/21*l**7 + 1/5*l**6 - 1/5*l**5 + 0*l**3 + 0*l**4 + 0 + 0*l**2 - 2*l. Factor t(u).
-2*u**3*(u - 2)*(u - 1)
Let m be 2/7 - (-480)/(-14). Let q be m/(-6) - (-2)/(-3). Let 8*j**q + 4*j**2 - 10*j**3 - j + 2*j**2 + 3*j - 6*j**4 = 0. What is j?
-1, -1/4, 0, 1
Suppose 8 = -5*v + 23. Factor -2*a**2 + 6*a**3 + 3*a**2 - 4*a**3 - 2*a**4 + v*a**4.
a**2*(a + 1)**2
Let z(p) = p - 2. Let r be z(4). Let y be 48/60 - r/5. Factor y*c**4 - 2/5*c**2 + 0 + 0*c + 2/5*c**5 - 2/5*c**3.
2*c**2*(c - 1)*(c + 1)**2/5
Let x be 5/4*(-3)/15*-1. Factor -x + 0*o + 1/4*o**2.
(o - 1)*(o + 1)/4
Let q be ((-186)/2170)/(1/(-25)). Let -4/7*j**3 - 12/7*j + q*j**2 - 4/7 = 0. Calculate j.
-1/4, 2
Let q(c) = 4*c**2. Let k be 3/(-12) + 3/(-4). Let a be q(k). Factor w**4 + w + w**3 + 6*w**2 + 8*w**3 + 3*w**a.
w*(w + 1)**2*(4*w + 1)
Determine h so that 0 - 2/9*h**4 + 0*h + 2/9*h**2 + 0*h**3 = 0.
-1, 0, 1
What is q in -5*q**2 - 6*q**2 - 2*q + 10*q**2 + q**3 = 0?
-1, 0, 2
Suppose 0*f = 4*f - 60. Factor -2 + f*d + 3*d**2 - d**2 - d**3 - 14*d.
-(d - 2)*(d - 1)*(d + 1)
Suppose -2*g = -0*g - 112. Let y be (g/(-35))/(2/(-5)). Suppose -2*x**3 - x**3 + y*x + 2*x - 3*x**2 = 0. Calculate x.
-2, 0, 1
Factor 3/2*c**5 + 0 - 9*c**3 - 12*c**2 + 0*c**4 - 9/2*c.
3*c*(c - 3)*(c + 1)**3/2
Let z(k) = -2*k**3 - 45*k**2 - 120*k - 80. Let x(s) = -5*s**3 - 135*s**2 - 360*s - 240. Let b(c) = -3*x(c) + 10*z(c). Factor b(y).
-5*(y + 1)*(y + 4)**2
Let z(u) be the first derivative of 0*u**2 + 0*u - 2 + 1/3*u**3 - 1/6*u**6 - 1/5*u**5 + 1/4*u**4. Determine w, given that z(w) = 0.
-1, 0, 1
Let a(t) be the second derivative of 19*t**4/12 + 7*t**3/2 + t**2 + 6*t. Factor a(i).
(i + 1)*(19*i + 2)
Suppose k - 75 = -2*k. Let l be (2/10)/(10/k). Factor -c**3 + 0 - l*c**4 - 1/2*c**2 + 0*c.
-c**2*(c + 1)**2/2
Factor 10*m**2 + 4 - m**3 + 2*m - 16*m**2 + 2*m**4 - m**3.
2*(m - 2)*(m - 1)*(m + 1)**2
Let g(v) = -29*v**5 - 19*v**4 - 36*v**3 - 29*v**2 - 17. Let w(y) = -5*y**5 - 3*y**4 - 6*y**3 - 5*y**2 - 3. Let m(l) = 6*g(l) - 34*w(l). Solve m(k) = 0.
-1, 0
Let b(j) be the second derivative of j**8/3360 - j**7/1260 - j**4/4 - 3*j. Let c(t) be the third derivative of b(t). Factor c(w).
2*w**2*(w - 1)
Suppose -3*p = -4*p - 14. Let l = -13 - p. Determine i, given that 4*i**2 + 3/2*i**3 + 7/2*i + l = 0.
-1, -2/3
Let w(p) = 12*p**2 + 9*p - 9. Let o(n) = -3*n**2 - 2*n + 2. Let f(b) = 9*o(b) + 2*w(b). Factor f(s).
-3*s**2
Let v be (-7)/(-2) + (-4)/((-4)/(-3)). Factor 1/2*l**3 + 0 - v*l**2 - l.
l*(l - 2)*(l + 1)/2
Let o be (-209)/(-77) + (-2)/(-7). Suppose -o*w + 19 = 7. Find u, given that u - 1/2*u**2 - 9/2*u**3 + 13/2*u**w + 0 - 5/2*u**5 = 0.
-2/5, 0, 1
Suppose -f + 5 = 0, 2*c + 0*f = -4*f + 20. What is r in r - r**2 + c*r + 0*r**2 = 0?
0, 1
Let q(d) = 7*d - 3 - 5 + d**2 - 2*d. Let l be q(-6). Let g(i) = -3*i**3 - i