+ 4*i**2. Let u(r) = -r**3 + 1. Let s(c) = 2*b(c) - 2*u(c). Let n(x) = x**4 + 5*x**3 + 9*x**2 + x - 1. Let o(l) = -2*n(l) + 3*s(l). Factor o(p).
-2*(p - 2)*(p - 1)*(p + 1)**2
Let l(a) be the first derivative of -49*a**5/20 + 7*a**4 - 8*a**3 - 7*a**2/2 + 2. Let o(j) be the second derivative of l(j). Determine b, given that o(b) = 0.
4/7
Let f(d) be the second derivative of -d**4/20 + 8*d + 3. Factor f(y).
-3*y**2/5
Suppose 0*c + c = -6. Let a(i) = -4*i**4 - 14*i**3 + 8*i**2 + 6*i. Let x(r) = -3*r**4 - 13*r**3 + 8*r**2 + 5*r. Let p(n) = c*x(n) + 5*a(n). Factor p(f).
-2*f**2*(f - 2)**2
Let d = 398/855 - 2/95. Let i = 4 - 4. Determine j, given that i*j + 2/9*j**4 + 2/9 + 0*j**3 - d*j**2 = 0.
-1, 1
Determine y, given that -2*y**3 - 2*y**4 + 2*y**4 - y**5 + 5*y**4 - 2*y**4 = 0.
0, 1, 2
Let l(h) be the second derivative of h**4/30 - h**3/15 - 2*h**2/5 - 27*h. Factor l(b).
2*(b - 2)*(b + 1)/5
Suppose v + 4*i = 3, 3*i = -4*v - i. Let u be (v/3)/(10/(-45)). Factor 0*t + 3/2 - u*t**2.
-3*(t - 1)*(t + 1)/2
Let t = 79/765 - 1/17. Let w(k) be the first derivative of -1/9*k**4 + 0*k**3 + t*k**5 + 2/9*k**2 - 3 - 2/9*k. Suppose w(b) = 0. What is b?
-1, 1
Determine h, given that 18*h**3 - 15*h**5 + 8*h**5 + 9*h**5 + 12*h**4 = 0.
-3, 0
Factor -7*t + 2*t**2 + t**2 - t - 7*t**2.
-4*t*(t + 2)
Let a(i) be the second derivative of 6*i + 20/3*i**3 - 8*i**2 + 7/10*i**5 - 1/15*i**6 + 0 - 3*i**4. Suppose a(v) = 0. What is v?
1, 2
Let b(f) be the third derivative of -f**6/270 + f**5/135 + f**2. Suppose b(k) = 0. Calculate k.
0, 1
Let n(g) be the third derivative of g**6/1080 - g**5/360 - 2*g**3/3 + g**2. Let s(z) be the first derivative of n(z). Determine w, given that s(w) = 0.
0, 1
Let b(c) be the first derivative of c**6/720 - c**4/48 + 5*c**3/3 + 4. Let o(z) be the third derivative of b(z). Determine k so that o(k) = 0.
-1, 1
Factor 0*h + h - h - 4*h**3 + 8*h**2.
-4*h**2*(h - 2)
Factor 56*i**2 + 1155 + 259*i**2 + 5*i**3 + 6615*i + 45150.
5*(i + 21)**3
Let y(x) be the first derivative of x**4 - 16*x**3 + 96*x**2 - 256*x + 8. Factor y(q).
4*(q - 4)**3
Factor 1/4*g**5 - g**3 + 3/4*g + 0*g**4 - 1/2*g**2 + 1/2.
(g - 2)*(g - 1)*(g + 1)**3/4
Let x(a) = -6*a**2 + 7. Let z(t) = t**2 + t + 1. Let p(k) = -x(k) - 5*z(k). Let b be p(7). Factor 8/3*s - 20/3*s**3 + 8/9 - 22/9*s**b + 50/9*s**4.
2*(s - 1)**2*(5*s + 2)**2/9
Factor 2/9*k**3 - 4/9 - 2/9*k + 4/9*k**2.
2*(k - 1)*(k + 1)*(k + 2)/9
Let y(j) be the second derivative of 0 + 2/45*j**5 - 1/2*j**2 - 1/180*j**6 + 2/9*j**3 - 5/36*j**4 + 2*j. Let s(n) be the first derivative of y(n). Factor s(l).
-2*(l - 2)*(l - 1)**2/3
Suppose 3 = -4*j + 11. Let s be (-1 + 4)*j/4. Find a, given that -3/2*a**4 + 0*a - 1/2*a**5 - 1/2*a**2 - s*a**3 + 0 = 0.
-1, 0
Let a(h) be the second derivative of 1/8*h**4 + 1/4*h**3 + 0*h**2 + 5*h + 0. Factor a(z).
3*z*(z + 1)/2
Let t = 24 + -16. Factor -4*c + 3*c**4 - 10*c**3 - 6 + t*c + 3*c**2 + 5*c + c**3.
3*(c - 2)*(c - 1)**2*(c + 1)
Let s = 119 + -116. Factor -4*q**2 + 6*q**s - 8/3*q**4 + 2/3*q + 0.
-2*q*(q - 1)**2*(4*q - 1)/3
Let s(v) be the first derivative of v**6/14 - 9*v**5/35 - 3*v**4/4 + 11*v**3/7 + 9*v**2/7 - 24*v/7 - 39. Solve s(x) = 0 for x.
-2, -1, 1, 4
Let j(t) be the second derivative of 5*t**4/4 - 6*t**3 + 6*t**2 + 2*t. Let j(p) = 0. Calculate p.
2/5, 2
Let m be 0/((-4)/(-1 + 3)). Suppose 4*x + 5*y = -20, 20 = -2*x - 0*x - 5*y. Find j such that 10/3*j**4 + m*j**2 + x + 0*j - 4/3*j**3 = 0.
0, 2/5
Suppose 3*x - 11 + 2 = 0. Let o(f) be the third derivative of 0*f - 2*f**2 + 0 - 1/120*f**4 + 1/75*f**5 + 0*f**x. Suppose o(c) = 0. What is c?
0, 1/4
Let r(b) be the third derivative of -4*b**6/255 + 4*b**5/85 - 3*b**4/68 + b**3/51 - 3*b**2. Factor r(h).
-2*(h - 1)*(4*h - 1)**2/17
Let o(d) be the second derivative of 2*d**6/15 - 9*d**5/10 + 2*d**4 - 4*d**3/3 - 4*d. Let o(q) = 0. Calculate q.
0, 1/2, 2
Let z be 1/(-2 - 18/(-10)). Let f be -1 + -3 + (-1 - z). Factor 2/3*j - 1/3*j**2 + f.
-j*(j - 2)/3
Let x be (-4)/(32/(-6)) - 0. Let y = 181/30 + -68/15. Factor -3/4*q**3 + 0 - x*q - y*q**2.
-3*q*(q + 1)**2/4
Factor 2*a + 0 + 8/3*a**3 - 26/3*a**2.
2*a*(a - 3)*(4*a - 1)/3
Let s(g) = -g + 5. Let d be s(4). Factor -d + j**2 - 2*j + 2*j.
(j - 1)*(j + 1)
Let a be -3 + 0 + 0 + 5. Factor 4 + 15*j**3 + a + j**3 + 11*j**3 - 48*j**2 + 15*j.
3*(j - 1)**2*(9*j + 2)
Let f(q) = -q**2 - q + 1. Let t(i) = -2*i**3 - 22*i**2 - 20*i + 22. Let j(z) = -44*f(z) + 2*t(z). Let j(o) = 0. What is o?
-1, 0, 1
Let b(w) be the second derivative of -w**6/15 - 3*w**5/10 - w**4/2 - w**3/3 - 3*w. Let b(y) = 0. Calculate y.
-1, 0
Let y(p) be the second derivative of 0 + 1/135*p**6 + 4*p - 1/18*p**4 + 1/90*p**5 - 5/27*p**3 - 2/9*p**2. Factor y(l).
2*(l - 2)*(l + 1)**3/9
Factor -2/3*t**4 - 4/3*t**2 - 4/3*t**3 - 2/3*t - 2/15*t**5 - 2/15.
-2*(t + 1)**5/15
Let o = 0 + 0. Let c(w) be the third derivative of w**2 + 1/15*w**5 + 8/9*w**3 + o + 0*w - 1/180*w**6 - 1/3*w**4. Determine v so that c(v) = 0.
2
Let r(n) be the first derivative of -n**4 + 4*n**3 - 16*n - 12. Let r(c) = 0. What is c?
-1, 2
Let v(w) = 7*w**2 + 7*w - 6. Let h(l) = 36*l**2 + 36*l - 30. Suppose 6*u = 5*u + 21. Let b(m) = u*v(m) - 4*h(m). Factor b(r).
3*(r - 1)*(r + 2)
Let m(f) be the first derivative of -f**6/6 + f**5 - 7*f**4/4 - f**3/3 + 4*f**2 - 4*f - 6. Find q, given that m(q) = 0.
-1, 1, 2
Let m(g) be the third derivative of 0*g + 6*g**2 + 0 - 1/60*g**6 + 0*g**3 - 1/30*g**5 + 0*g**4. Factor m(z).
-2*z**2*(z + 1)
Let f = 46 - 44. Factor 2/5*y**3 - 4/5 - f*y + 2/5*y**4 - 6/5*y**2.
2*(y - 2)*(y + 1)**3/5
Let t(d) be the second derivative of d**6/1080 - d**5/90 + d**4/18 - d**3/2 + 2*d. Let k(m) be the second derivative of t(m). Factor k(i).
(i - 2)**2/3
Let q(s) be the second derivative of -s**4/6 + 2*s**3/3 - s**2 + s. Factor q(d).
-2*(d - 1)**2
Let v = -6 - -10. Suppose -r - 4*y = -6, -2*r + 4*y = 2*r - v. What is l in r*l**4 + l**3 + 0*l**3 + l**5 + 0*l**5 = 0?
-1, 0
Let x be ((-4)/(-14))/(1/7). Let c = 2 - -3. Factor c + l**3 + 2*l - l - 5 - 2*l**x.
l*(l - 1)**2
Let a = -1167/7 - -167. Suppose 0 = -3*j + 2*l + 12, -l - l - 10 = -2*j. Find i, given that -a*i**j + 6/7*i - 4/7 = 0.
1, 2
Let p(x) = x**3 + 8*x**2 + 7*x + 2. Let w be p(-7). Solve 2*n**2 + n**2 - n**w - 2*n**4 - 2*n + 2*n**3 = 0 for n.
-1, 0, 1
Let w(p) be the third derivative of -p**7/8820 - p**4/6 + 2*p**2. Let m(d) be the second derivative of w(d). Factor m(z).
-2*z**2/7
Factor 0 + 15/4*j**3 + 3*j + 3/4*j**4 + 6*j**2.
3*j*(j + 1)*(j + 2)**2/4
Let l(g) = -2*g**3 - 4*g**2 - 9*g + 7. Let y(z) = 3*z**2 + 8*z - 5*z**3 + 6*z**3 - 6 + 0*z**3. Let b(j) = -6*l(j) - 7*y(j). What is o in b(o) = 0?
-1, 0, 2/5
Find p, given that -9*p**3 + p**5 + 4*p**4 - 4*p**2 - p + 12*p**3 - 3*p = 0.
-2, -1, 0, 1
Let b(x) be the first derivative of -8*x - 12*x**2 + 2*x**3 - 6/5*x**5 + 10 + 4*x**4. Suppose b(y) = 0. What is y?
-1, -1/3, 2
Let k(f) be the second derivative of -f**6/75 - f**5/10 - 3*f**4/10 - 7*f**3/15 - 2*f**2/5 - 7*f + 2. Factor k(t).
-2*(t + 1)**3*(t + 2)/5
Let n(q) be the second derivative of q**5/20 - q**4/12 + 6*q - 3. Factor n(s).
s**2*(s - 1)
Let z be (1 - 2 - -1)/(-32 + 33). Factor -1/3*t + z + 1/3*t**2.
t*(t - 1)/3
Let i = -1 - -6. Let p(l) be the first derivative of -2/3*l**3 - 1/10*l**4 - 2/5*l**2 + 1/5*l**6 + 0*l + 2/5*l**i - 1. Let p(u) = 0. What is u?
-1, -2/3, 0, 1
Let -4/3*w - 4/3*w**2 + 8/3 = 0. What is w?
-2, 1
Let h(q) be the third derivative of q**5/450 - 2*q**4/45 + 16*q**3/45 - 29*q**2. Factor h(i).
2*(i - 4)**2/15
Let s be (-2 + 2)/((-1 - 0)*-2). Factor s + 0*r + 2/3*r**5 - 2/3*r**4 + 0*r**2 + 0*r**3.
2*r**4*(r - 1)/3
Let m(w) be the third derivative of 0*w**7 + 0*w**5 + 0 + 0*w**3 + 0*w**4 + 0*w**6 - 2*w**2 - 1/336*w**8 + 0*w. Factor m(r).
-r**5
Let q(s) be the first derivative of s**6/240 + s**5/120 + 2*s**2 + 4. Let c(f) be the second derivative of q(f). Factor c(a).
a**2*(a + 1)/2
Suppose 27*h + 2*h**3 - 4*h**3 + 5*h**3 + 18*h**2 = 0. What is h?
-3, 0
Suppose 0 = 5*u - 2 + 32. Let y(b) = -4*b**3 - 3*b**2 - 5. Let g(c) = -3*c**3 - 4*c**2 - 6. Let o(d) = u*y(d) + 5*g(d). Determine f, given that o(f) = 0.
0, 2/9
Let a(w) be the third derivative of -w**8/112 + w**7/35 - w**5/10 + w**4/8 + 11*w**2. Factor a(y).
-3*y*(y - 1)**3*(y + 1)
Let n(y) = -y + 8. Let u be n(6). Factor 0*a**2 - 2*a**u + 2*a + 