(u) be the first derivative of -2*u**2 - 2*u + p - 2/3*u**3. Factor l(b).
-2*(b + 1)**2
Let d(g) be the first derivative of -g**6/180 + g**5/30 - g**4/12 - g**3/3 - 2. Let b(f) be the third derivative of d(f). Determine i, given that b(i) = 0.
1
Solve m**2 - 2*m**2 - 1 + 0*m - 2*m = 0 for m.
-1
Let c(m) be the second derivative of -m**5/54 + m**4/36 + 2*m**3/27 + m**2/2 + m. Let u(z) be the first derivative of c(z). Determine y, given that u(y) = 0.
-2/5, 1
Let i = -127/3 + 43. Let w(t) be the first derivative of i*t**3 - 4 - 4*t**2 + 6*t. Factor w(r).
2*(r - 3)*(r - 1)
Let f(r) be the third derivative of -r**7/280 + r**5/80 - 5*r**2. Solve f(q) = 0 for q.
-1, 0, 1
Let y(m) be the second derivative of -1/14*m**7 + 0 - 3/10*m**6 + 3/4*m**4 + 0*m**2 - 3/20*m**5 + m**3 - 2*m. Find c such that y(c) = 0.
-2, -1, 0, 1
Let x(j) be the second derivative of j**5/150 - j**4/20 + 2*j**3/15 - j**2/2 + 6*j. Let h(q) be the first derivative of x(q). Determine m so that h(m) = 0.
1, 2
Let r(p) = -p**2 + 9*p - 18. Let w be r(6). Let s(h) be the first derivative of 1/25*h**5 - 2 - 1/10*h**2 + 1/20*h**4 + w*h - 1/15*h**3. Factor s(k).
k*(k - 1)*(k + 1)**2/5
Let v = 66 - 62. Factor -21/5*u**3 - 4/5*u + v*u**2 + 0.
-u*(3*u - 2)*(7*u - 2)/5
Let d be (-8)/(-32) - (-2)/8. Let w(s) be the first derivative of s**2 - s - d*s**4 - 1 + 1/5*s**5 + 0*s**3. Factor w(n).
(n - 1)**3*(n + 1)
Let s(u) = 10*u**2 + 210*u + 395. Let p(q) = q**2 + 19*q + 36. Let k(d) = -65*p(d) + 6*s(d). Suppose k(f) = 0. What is f?
-1, 6
Let a be (-2)/(-4)*-1 - (-40)/60. Determine y, given that -1/3*y**2 + 1/3 - a*y + 1/6*y**3 = 0.
-1, 1, 2
Factor -14/5*o**3 - 2/5*o**5 + 6/5*o**2 + 2*o**4 + 0*o + 0.
-2*o**2*(o - 3)*(o - 1)**2/5
Let s(y) = 17*y**3 + 3*y**2 + 4*y + 9. Let p(c) = -8*c**3 - 2*c**2 - 2*c - 4. Let h = -6 + 4. Let m be (4 + h)*18/4. Let o(g) = m*p(g) + 4*s(g). Factor o(r).
-2*r*(r + 1)*(2*r + 1)
Suppose 0 = 2*d + 3*m - 38, 0 = -5*d - m + 5*m + 72. Suppose 4*b - d = -4*g - g, 0 = 3*g + b - 4. Factor 0*x + 0*x**4 + 0 + g*x**2 + 1/3*x**5 + 0*x**3.
x**5/3
Let y = 195 - 1363/7. Let c(m) = -8*m + 32. Let q be c(4). What is u in 0*u**3 + 4/7*u**2 - y - 2/7*u**4 + q*u = 0?
-1, 1
Let u = -137 - -98. Let v = 92 + u. Determine y, given that 170*y**3 - 6 + 22*y - v*y**3 + 23*y - 114*y**2 - 42*y**4 = 0.
2/7, 1/2, 1
Let x(h) be the second derivative of h**7/28 - h**6/20 - 3*h**5/40 + h**4/8 - 15*h. Factor x(w).
3*w**2*(w - 1)**2*(w + 1)/2
Suppose -7*c + 2*w + 4 = -3*c, c - 10 = -4*w. Suppose 4*j**4 - j + j**3 - c*j**2 + j**3 - 2*j**4 - j = 0. Calculate j.
-1, 0, 1
Factor -2 - 28*b - 432*b**3 - 216*b**2 + 4*b - 9*b - 3*b.
-2*(6*b + 1)**3
Let t(y) be the third derivative of -y**5/210 + y**4/14 - 3*y**3/7 - y**2. Suppose t(o) = 0. Calculate o.
3
Let y(n) = n**2 + 11*n + 14. Let d(v) = v + 1. Let u(p) = -5*d(p) + y(p). Factor u(w).
(w + 3)**2
Let c(w) be the first derivative of -w**4/12 + w**3/2 - 4*w - 7. Let z(a) be the first derivative of c(a). Factor z(l).
-l*(l - 3)
Let 2/3*h**3 - 2/3*h - 2/3 + 2/3*h**2 = 0. What is h?
-1, 1
Let r(g) be the third derivative of g**8/26880 - g**7/5040 + g**6/2880 - g**4/8 + 4*g**2. Let q(y) be the second derivative of r(y). Factor q(j).
j*(j - 1)**2/4
Let v(w) be the third derivative of -w**8/504 - 2*w**7/315 - w**6/540 + w**5/90 - 2*w**3/3 + 2*w**2. Let y(m) be the first derivative of v(m). Factor y(b).
-2*b*(b + 1)**2*(5*b - 2)/3
Factor 2/3*t**2 + 2/3*t + 0.
2*t*(t + 1)/3
Let y = 14 + -14. Factor 7/4*v**3 + 1/2*v + y - 9/4*v**2.
v*(v - 1)*(7*v - 2)/4
Factor -c - 33*c**4 - 3*c**2 + 27*c**3 - 46*c**5 + 58*c**5 - 2*c.
3*c*(c - 1)**3*(4*c + 1)
Let k be (21/(-28))/(50/(-16)). Let q = k + 4/25. Suppose 8/5*p**3 + 8/5*p - 12/5*p**2 - 2/5*p**4 - q = 0. What is p?
1
Suppose 0*w + 2/3*w**4 + 0 + 0*w**2 + 2/3*w**3 = 0. What is w?
-1, 0
Factor -7 + 3*c**4 + 8 - 4*c**4 + 2*c - 2*c**3.
-(c - 1)*(c + 1)**3
Let x(l) be the third derivative of 1/24*l**6 - 1/30*l**7 + 0 + 4/15*l**5 - 7*l**2 + 0*l + 1/6*l**4 + 0*l**3. Determine k so that x(k) = 0.
-1, -2/7, 0, 2
Let k(b) = 2*b**3 - 17*b**2 + 6*b + 6. Let m be k(8). Let l be m/45 + (-124)/(-72). Determine u, given that 1/2*u**3 - u**4 - 1/2*u + l*u**2 - 1/2 = 0.
-1, -1/2, 1
Let d = 22 - 152/7. Suppose 4*r + 0 = 8. Determine m, given that -d*m**r - 2/7 + 4/7*m = 0.
1
Let x = 13 + -7. Factor 3*j**2 + 2*j**2 + 12*j + x*j**2 - 4*j**3 - 3*j**2.
-4*j*(j - 3)*(j + 1)
Find m, given that -1/8*m**4 + 1/4 + 3/8*m**3 - 3/8*m - 1/8*m**2 = 0.
-1, 1, 2
Let b(h) be the second derivative of -h + 2/33*h**4 + 0 + 1/110*h**5 + 2/11*h**2 + 5/33*h**3. Factor b(t).
2*(t + 1)**2*(t + 2)/11
Let o be -6 - 5/(90/(-132)). Suppose 0 - 2/3*z**2 - o*z = 0. What is z?
-2, 0
Let y(l) = -4*l**2 + 7*l. Let g(t) = 9*t**2 - 15*t - 1. Let v(u) = 4*u**3 + u. Let a be v(1). Let h(p) = a*y(p) + 2*g(p). Determine o so that h(o) = 0.
1/2, 2
Let k(w) = w - 2. Let g be k(4). Factor -9*b**3 - 3*b**5 - 9*b**4 - b**2 + 0*b**g - 2*b**2.
-3*b**2*(b + 1)**3
Suppose -4/9*q**3 - 2/9 + 2/9*q**4 + 0*q**2 + 4/9*q = 0. What is q?
-1, 1
Let r(z) be the third derivative of z**7/210 - z**6/30 - z**5/10 + 3*z**4/2 - 9*z**3/2 - 40*z**2. Factor r(n).
(n - 3)**2*(n - 1)*(n + 3)
Let p(f) be the first derivative of f**7/840 + f**6/120 + f**5/60 - 4*f**3/3 - 6. Let o(v) be the third derivative of p(v). Factor o(n).
n*(n + 1)*(n + 2)
Let z(f) = f**2 - 6*f + 9. Let m be z(5). Let 0*x + 2/5*x**m + 0 - 4/5*x**3 + 0*x**2 = 0. Calculate x.
0, 2
Let c = -8831/11 - -803. Determine h so that -c*h**2 - 8/11*h + 2/11 + 8/11*h**3 = 0.
-1, 1/4, 1
Let z(o) = 5*o - 1. Let k be z(1). What is w in -16*w + 16*w + 2*w**3 + 3*w**k - w**2 = 0?
-1, 0, 1/3
Let s(t) be the third derivative of 0 + 2*t**2 - 1/6*t**3 + 1/18*t**4 + 0*t + 1/540*t**6 + 1/60*t**5. Let w(p) be the first derivative of s(p). Factor w(x).
2*(x + 1)*(x + 2)/3
Let y(s) be the second derivative of 1/6*s**5 + 0*s**3 - 7/45*s**6 + 0 + 1/21*s**7 - 1/18*s**4 + 0*s**2 - 3*s. Suppose y(a) = 0. Calculate a.
0, 1/3, 1
Let o(b) be the first derivative of -2*b**3/3 - 3*b**2 - 4*b - 24. Let o(f) = 0. What is f?
-2, -1
Let v(q) = -8*q**2 - 41*q - 5. Let z be v(-5). Factor 0*w + 2/11*w**2 + 10/11*w**3 + 8/11*w**4 + z.
2*w**2*(w + 1)*(4*w + 1)/11
Let b(i) be the second derivative of -9*i**7/14 + 9*i**6/5 - 6*i**5/5 - i**4/2 + i**3/2 - 14*i. Suppose b(s) = 0. Calculate s.
-1/3, 0, 1/3, 1
Let n = 139/875 - 2/125. Factor 1/7*i**3 - 2/7*i**2 + n*i + 0.
i*(i - 1)**2/7
Let p(w) be the second derivative of 0*w**5 + 0 - 1/135*w**6 + 3*w + 1/27*w**4 - 1/9*w**2 + 0*w**3. Suppose p(c) = 0. Calculate c.
-1, 1
Let p be ((-2)/2)/((54/(-12))/9). Suppose 2/11*r**p + 4/11*r + 0 = 0. Calculate r.
-2, 0
Suppose -13 = -3*q - 2*q - 3*v, -1 = q - 3*v. Suppose q*i = i + 5. Factor -2*f**i + 8*f**4 + f - 12*f**3 + 8*f**2 + 0*f**5 - 3*f.
-2*f*(f - 1)**4
Let i(a) be the first derivative of -5*a**3/3 - 5*a**2/2 + 19. Find h, given that i(h) = 0.
-1, 0
Let f(l) be the first derivative of 25*l**6/24 + l**5/2 - 75*l**4/16 + 5*l**3/3 + 5*l**2/2 - 6. Determine i, given that f(i) = 0.
-2, -2/5, 0, 1
Let i(k) = 0 - k + 1 + 0. Let s be i(-3). Factor 2*y**2 - 1/3*y**3 - s*y + 8/3.
-(y - 2)**3/3
Let w(x) be the first derivative of 9*x**5/20 - x**4/2 - 7*x**3/2 - 3*x**2 + 2*x + 4. Let q(d) be the first derivative of w(d). Let q(o) = 0. Calculate o.
-1, -1/3, 2
Let p(w) be the third derivative of w**6/720 - w**5/80 + w**4/24 - w**3/3 - w**2. Let k(x) be the first derivative of p(x). Find o such that k(o) = 0.
1, 2
Factor -9 + 35*h - 7*h**3 + 12*h**3 - 25*h**2 - 6.
5*(h - 3)*(h - 1)**2
Let t(k) be the third derivative of k**7/70 + k**6/10 + 3*k**5/20 - k**4/2 - 2*k**3 + 2*k**2. Solve t(r) = 0.
-2, -1, 1
Let v(w) be the first derivative of 1 - 2/15*w**3 + 0*w + 1/10*w**4 + 2/25*w**5 - 1/5*w**2. Factor v(x).
2*x*(x - 1)*(x + 1)**2/5
Let w = 11277001/244 - 46217. Let m = 2/61 + w. Find k such that 0 + 3/4*k**2 - 3/4*k**3 - m*k + 1/4*k**4 = 0.
0, 1
Let d(b) be the third derivative of b**8/2240 - b**7/840 - b**6/240 + b**5/40 + b**4/8 - b**2. Let w(v) be the second derivative of d(v). What is q in w(q) = 0?
-1, 1
Let p(j) = j**2 + j + 1. Let r(s) = -4*s**2 - 7*s - 6. Let u be (-5 - -1 - -3)*1. Let a(d) = u*r(d) - 6*p(d). Factor a(k).
-k*(2*k - 1)
Let c be (-2514)/45 - (-4)/(-30). Let m be ((-6)/9)/(c/147). Fac