**4 + 2*z**2 - 3*z + 0 + 0*z**v + 1.
(z - 1)**4*(z + 1)
Let n be 6/(-32)*(-160)/120. Factor -1/4*a**3 - n*a**2 + 1/4*a**4 + 0 + 1/4*a.
a*(a - 1)**2*(a + 1)/4
Factor -12*c - 10 + 9 + 5 - 16*c**2.
-4*(c + 1)*(4*c - 1)
Let r(j) = 2*j - 2. Let p be r(2). Suppose -4*i - 9 = -7*i. Let i + p*v**3 - 3 = 0. Calculate v.
0
Let q(z) be the first derivative of z**4/7 + 4*z**3/21 - 44. Factor q(w).
4*w**2*(w + 1)/7
Determine w, given that 5*w - 2*w**2 - w + 1 + w**2 + 4*w**2 = 0.
-1, -1/3
Let h(g) = 4*g**4 + 6*g**3 + 6*g**2 + 2*g - 2. Let w(y) = -20*y**4 - 29*y**3 - 31*y**2 - 11*y + 11. Let p(u) = -11*h(u) - 2*w(u). Determine l so that p(l) = 0.
-1, 0
Let o(k) = -4*k**3 + 6*k**2 + 4*k - 1. Let s(x) = x**3 - x**2 - x. Let c(q) = o(q) + 5*s(q). Find w, given that c(w) = 0.
-1, 1
Factor 15*w**2 - 10 + 50*w - 25 + 0 - 5.
5*(w + 4)*(3*w - 2)
Suppose -5*m - 141 = -3*p, -p = 3*p + 12. Let y be (3/(-99))/(5/m). Suppose 2/11*j**2 + y - 4/11*j = 0. Calculate j.
1
Let u(p) be the second derivative of p**7/105 + p**6/30 - p**5/10 - p**4/3 + 4*p**3/3 - 2*p**2 + 2*p. Let r(t) be the first derivative of u(t). Factor r(x).
2*(x - 1)**2*(x + 2)**2
Let t(d) = -d**3 + 10*d**2 - 7*d - 12. Let j be t(9). Factor 5*i**2 - j - 5 - 3*i + 5 + i**2 + 3*i**3.
3*(i - 1)*(i + 1)*(i + 2)
Let l(d) be the first derivative of -2/15*d**3 + 7 + 4/5*d + 1/5*d**2. Solve l(i) = 0 for i.
-1, 2
Let u(b) be the first derivative of b**8/168 - b**7/35 + b**6/20 - b**5/30 - b**2/2 - 2. Let q(n) be the second derivative of u(n). Let q(j) = 0. What is j?
0, 1
Let y be 3/(-7) - (-13)/14. Suppose y*r - 1/3*r**3 - 1/3*r**2 + 1/2*r**4 - 1/6*r**5 - 1/6 = 0. What is r?
-1, 1
Let g be (12/(-60))/(1/(-10)). Let z(s) be the first derivative of -1 - 4/3*s**3 - 1/2*s**4 + 0*s - s**g. Find t such that z(t) = 0.
-1, 0
Let r = 7 - 7. Let u be -2 + 6 + (0 - r). Factor 0 + 0*l - 4/7*l**3 + 0*l**2 - 22/7*l**4 - u*l**5.
-2*l**3*(2*l + 1)*(7*l + 2)/7
Let y(i) = -i**3 - 4*i**2 + 4*i - 3. Let t be y(-5). Factor 0*g**3 - 5*g**2 - g**3 + g - 5*g + g**t.
-g*(g + 2)**2
Let y(w) = 2*w**5 + 2*w**4 + w**3 + w**2 - 8*w + 2. Let j(l) = -3*l**5 - 3*l**4 + 9*l - 3. Let u(k) = -5*j(k) - 6*y(k). Find f such that u(f) = 0.
-1, 1
Let y(c) be the first derivative of 4/9*c + 1/6*c**4 + 1/3*c**2 + 4 - 16/27*c**3. Factor y(u).
2*(u - 2)*(u - 1)*(3*u + 1)/9
Suppose 4*o - 3*j = 13, 4*j - 24 = -o - 4*o. Let p be o/18 + (-4)/18. Solve 0*x + 2/5*x**3 + p - 2/5*x**2 = 0 for x.
0, 1
Let k(u) = u**3 - 7*u**2 - 8. Let y be k(7). Let j be (y/(-3))/((-6)/(-9)). Factor -4 + 3*n**2 + j*n + 0*n**2 - 4*n**2.
-(n - 2)**2
Let p(a) be the third derivative of 1/90*a**7 - 2/45*a**6 + 0 + 0*a + 11/180*a**5 + 3*a**2 - 1/36*a**4 + 0*a**3. Determine b so that p(b) = 0.
0, 2/7, 1
Let l(v) = v**3 - 8*v**2 + v - 6. Let w be l(8). Let j(p) be the first derivative of -1/18*p**4 + 0*p + 0*p**w + 2 - 2/27*p**3. Factor j(h).
-2*h**2*(h + 1)/9
Let o be ((-9)/3)/(6/(-10)). Factor -13*f**2 - 12*f**3 - 2*f**5 + 12*f**4 + 17*f**2 + 0*f**5 - 2*f**o.
-4*f**2*(f - 1)**3
Let m be (-6 - 0)*(-2)/4. Let n(v) = v**2 - 12*v - 15. Let z(h) = -2*h**2 + 12*h + 14. Let u(j) = m*z(j) + 4*n(j). What is x in u(x) = 0?
-3
Solve 18 + 28*n**3 + 14*n**2 - 57*n + 11*n**3 + 5*n**5 - 32*n**4 + 13*n**3 = 0 for n.
-1, 2/5, 1, 3
Let f(p) be the first derivative of 8*p**5/35 - 9*p**4/14 + 4*p**3/21 + 8. Factor f(r).
2*r**2*(r - 2)*(4*r - 1)/7
Let j = 0 + 0. Suppose j*g - 12 = -4*g. Factor -3*x**g + 0*x**3 + x + x**5 + x**3.
x*(x - 1)**2*(x + 1)**2
Suppose 3*m + 0*m = 3*k + 18, 6 = -5*m - 4*k. Suppose 8 + m = 5*o. Factor -2/3*v - 1/3*v**o + v**3 + 0.
v*(v - 1)*(3*v + 2)/3
Let y be (-70)/(-25) - (-1)/5. Determine q so that -4*q**3 - 5*q**4 - 3*q**2 + q**2 + y*q**4 = 0.
-1, 0
Let b(g) be the third derivative of 0*g**3 + 0*g + 0*g**5 - 1/1680*g**8 + 1/600*g**6 + 0 + 5*g**2 + 0*g**7 + 0*g**4. Factor b(i).
-i**3*(i - 1)*(i + 1)/5
Let t = -11 + 14. Let l(f) be the second derivative of 1/24*f**t + 0*f**2 + 0 - 1/48*f**4 - f. Find k, given that l(k) = 0.
0, 1
Let h = -2 + 0. Let m be 48/21 + h/7. Suppose 4*u - u + 5*u - 2*u**m - 8 = 0. Calculate u.
2
Let x(h) = 3*h**5 + h**4 + 3*h**3 + 5*h**2 - 6*h. Let n(m) be the second derivative of m**7/42 + m**4/12 - m**3/6 + 3*m. Let o(t) = 6*n(t) - x(t). Factor o(v).
v**2*(v - 1)*(v + 1)*(3*v - 1)
Let n(s) be the first derivative of -s**9/1512 - s**8/840 + s**7/420 + s**6/180 - 2*s**3/3 - 5. Let l(p) be the third derivative of n(p). What is u in l(u) = 0?
-1, 0, 1
Suppose -5*z - o + 17 = 0, 5*z + 10 = 7*z + 2*o. Find g, given that 0 + 1/3*g + 0*g**2 - 1/3*g**z = 0.
-1, 0, 1
Let v be (5 - 22/4)*0. Factor 2/9*l**4 + 0*l + 0 + v*l**3 - 2/9*l**2.
2*l**2*(l - 1)*(l + 1)/9
Solve 2*d**3 + 3*d - 4*d**4 + 19*d**2 - d**5 - 17*d**2 - 4*d**3 + 1 + d**4 = 0 for d.
-1, 1
Factor 9/4*j**3 - 9/4 - 15/4*j**2 - 33/4*j.
3*(j - 3)*(j + 1)*(3*j + 1)/4
Let f(k) be the third derivative of k**8/112 - 3*k**7/70 + k**6/20 + k**5/10 - 3*k**4/8 + k**3/2 + 4*k**2. Factor f(p).
3*(p - 1)**4*(p + 1)
Let u(l) be the first derivative of -l**4/14 - 2*l**3/21 + l**2/7 + 2*l/7 + 2. Factor u(s).
-2*(s - 1)*(s + 1)**2/7
Let b(r) be the first derivative of r**5/40 + r**4/6 + 5*r**3/12 + r**2/2 + 7*r - 4. Let p(z) be the first derivative of b(z). Factor p(j).
(j + 1)**2*(j + 2)/2
Let i(k) be the first derivative of 2 + 1/2*k**2 - 1/5*k**5 - 1/4*k**4 + k**3 - 2*k. Factor i(w).
-(w - 1)**2*(w + 1)*(w + 2)
Let n(j) = -j + 1. Let l be n(0). Suppose 0 = 3*q - l - 11. Factor -2/3*s**2 - 2/3*s**3 + 0 + 2/3*s**q + 2/3*s.
2*s*(s - 1)**2*(s + 1)/3
Let z be (-4)/22 - (-2)/11. Let a(d) be the third derivative of z*d + 0 - 4/105*d**5 + 1/42*d**4 + 1/21*d**3 + 2*d**2. Factor a(s).
-2*(2*s - 1)*(4*s + 1)/7
Let q = -67/3 + 23. Determine k so that -8/9*k - q - 2/9*k**2 = 0.
-3, -1
Let p be (16/(-3) - -4)/(-4). Let g(f) be the second derivative of -1/2*f**4 - f + 0 - p*f**3 - 1/5*f**5 + 0*f**2. Factor g(d).
-2*d*(d + 1)*(2*d + 1)
Let z(l) be the second derivative of 1/210*l**7 + 0*l**3 + l**2 - 1/60*l**5 + 0*l**4 + 0 + 0*l**6 - l. Let a(b) be the first derivative of z(b). Factor a(u).
u**2*(u - 1)*(u + 1)
Let t = 3 - 30. Let q = 83/3 + t. Factor -40/3*g**2 + 16/3*g**3 - q + 17/3*g.
(g - 2)*(4*g - 1)**2/3
Let a be (-145)/29 + (-13)/(-2). Let 0 + 3/2*l**3 + 1/2*l + 1/2*l**4 + a*l**2 = 0. What is l?
-1, 0
Let h(f) be the third derivative of 0*f**4 + 0*f + 0 + 1/1260*f**6 + 1/420*f**5 + 2*f**2 + 1/2*f**3. Let a(v) be the first derivative of h(v). Factor a(n).
2*n*(n + 1)/7
Let r(x) = -x**3 + 9*x**2 - 8*x + 3. Let c be r(8). Let j be 6/(-4)*(-4)/c. Find u, given that -3*u**2 + 4*u**2 + 2 - 2*u**2 + j*u - 3 = 0.
1
Let v(j) be the third derivative of -j**6/240 + j**4/48 - 7*j**2. Determine z so that v(z) = 0.
-1, 0, 1
Let c = 20/19 + -221/228. Let f(s) be the first derivative of c*s**3 + 0*s**2 + 3 - 1/4*s. Factor f(m).
(m - 1)*(m + 1)/4
Let c(o) be the third derivative of o**7/630 + o**6/40 + 2*o**5/15 + 5*o**4/18 + 18*o**2. Find l such that c(l) = 0.
-5, -2, 0
Let p = 6 - 10. Let r = p + 9. Find d such that 12*d + 5 + 0 + 12*d**2 - r + 3*d**3 = 0.
-2, 0
Solve 64/3*i + 34/3*i**3 - 154/3*i**4 + 146/3*i**2 + 8/3 - 98/3*i**5 = 0.
-1, -2/7, 1
Let f(x) = -5*x**5 + 4*x**4 + 2*x**3 - 7*x**2 - 3. Let p(i) = -i**5 - i**2 - 1. Let u(k) = 2*f(k) - 6*p(k). Find c, given that u(c) = 0.
-1, 0, 1, 2
Let q(y) = -4*y**3 + 9*y**2 - 6*y - 1. Let j(f) be the first derivative of -2*f**4 + 6*f**3 - 6*f**2 - 3*f - 8. Let w(i) = -2*j(i) + 5*q(i). Solve w(x) = 0.
1/4, 1
Factor -p**3 - 5/4*p**2 + 0 - 1/2*p - 1/4*p**4.
-p*(p + 1)**2*(p + 2)/4
Suppose 3*v = -0*v - 5*m - 28, -22 = -3*v + 5*m. Let g be (-2)/v + (-2)/(-3). Solve -g - 16/3*a + 10/3*a**3 + 2/3*a**4 - 2/3*a**2 - 2/3*a**5 = 0 for a.
-1, 2
Let n be 0 + (-4 - -2) + -6. Let q be n/(-6)*6/28. Factor 0*h + q*h**3 + 0 - 2/7*h**2.
2*h**2*(h - 1)/7
Let r(n) = -2*n**3 + 7*n**2 - 9. Let b be r(3). What is a in 2/5*a - 4/5*a**4 - 6/5*a**3 + 0 + b*a**2 = 0?
-1, 0, 1/2
Let i(p) be the second derivative of p**8/420 + p**7/420 - p**6/90 - p**5/60 + p**3/2 + 3*p. Let t(m) be the second derivative of i(m). Factor t(h).
2*h*(h - 1)*(h + 1)*(2*h + 1)
Let v(o) = -31*o**4 - 127*o**3 - 205*o**2 - 113*o - 24. Let r(x) = -21*x**4 - 85*x**3 - 137*x**2 - 75*x - 16. Let u(l) = 7*r(l) - 5*v(l). Factor u(t).
2*(t + 2)**2*(2*t +