4*y**3 - 1/4*y**2 = 0.
-1, 0, 1
Let b(w) = 9*w - 18. Let u be b(2). Let i(q) be the third derivative of 1/70*q**7 + 4*q**2 + 0*q**3 + u + 3/40*q**6 + 0*q + 0*q**5 - 1/2*q**4. Factor i(m).
3*m*(m - 1)*(m + 2)**2
Let n(u) be the first derivative of 4*u**5/5 + u**4 - 3. What is b in n(b) = 0?
-1, 0
Let i be (1/6)/(10/(-465)). Let o = i + 101/12. Let -2*m**4 + 2/3*m**5 - o*m**2 + 0*m + 2*m**3 + 0 = 0. What is m?
0, 1
Suppose -3*z + 5*z + 6 = -5*i, 0 = -i + 2. Let g be z/(-12) - 4/6. Factor 0*j + g*j**3 + 1/3*j**4 + 0 - 1/3*j**2.
j**2*(j - 1)*(j + 1)/3
Let t(i) be the first derivative of -3*i**5/10 + 3*i**4/4 - 3*i**2/2 + 3*i/2 + 2. Determine s so that t(s) = 0.
-1, 1
Suppose 6*h + 3 = 15. Determine q, given that 5/2*q**h - 1 + 9/2*q = 0.
-2, 1/5
Let a(m) = 2*m. Let n be a(2). Suppose -3*o = 5*h + n, 0 = -4*o + 8*o - 3*h - 14. Solve o*g**2 + 5*g + 0*g**2 - g = 0 for g.
-2, 0
Let m(c) be the third derivative of c**7/525 - c**6/75 + c**5/30 - c**4/30 + 14*c**2. Let m(x) = 0. What is x?
0, 1, 2
Let x(n) = n**3 + 3*n**2 - 3. Let t be x(-3). Let y be ((-1)/(-9))/((-1)/t). Factor 2/3 - y*k**3 - 5/3*k + 4/3*k**2.
-(k - 2)*(k - 1)**2/3
Let t = 7 - 4. Let y(o) = -o**2 + 6*o + 19. Let v be y(8). Factor -16*c**2 - 7*c**3 - v*c + t*c**3 - 2*c**4 - 5*c - 6*c**3.
-2*c*(c + 1)*(c + 2)**2
Let y = 9 + -8. Let z be ((-6)/4 + y)*-6. Factor -1/2*c**4 + c**z - 1/2*c**5 - 1/2*c - 1/2 + c**2.
-(c - 1)**2*(c + 1)**3/2
Let v be (-106)/9 + (-4)/18. Let x be v/(-75)*30/4. Find z such that -6/5*z**4 + 4/5*z**2 + 2/5 - 4/5*z**3 + x*z - 2/5*z**5 = 0.
-1, 1
Let s(m) be the first derivative of -m**4/24 + m**3/12 - 2*m - 3. Let h(b) be the first derivative of s(b). Factor h(v).
-v*(v - 1)/2
Let v(o) be the first derivative of -3*o**4/16 - o**3/2 - 3*o**2/8 - 7. Factor v(q).
-3*q*(q + 1)**2/4
Let j(o) = -2*o**2 - o + 1. Let t(c) = -15*c**2 - 30*c - 15. Let w(l) = 10*j(l) - t(l). Factor w(g).
-5*(g - 5)*(g + 1)
Solve 2/15*c + 4/15 + 2/15*c**5 - 8/15*c**2 - 4/15*c**3 + 4/15*c**4 = 0 for c.
-2, -1, 1
Let a(u) be the second derivative of 0*u**3 + 1/120*u**6 + 2*u - 1/60*u**5 + 0*u**4 + 3/2*u**2 + 0. Let q(j) be the first derivative of a(j). Factor q(x).
x**2*(x - 1)
Let m(t) be the second derivative of -t**5/240 - t**4/96 + t**3/12 - t**2 + 2*t. Let p(y) be the first derivative of m(y). Suppose p(d) = 0. What is d?
-2, 1
Let w(l) be the first derivative of 2*l**5/45 + l**4/3 + 16*l**3/27 - 2*l**2/3 - 2*l - 7. Factor w(h).
2*(h - 1)*(h + 1)*(h + 3)**2/9
Let l be ((-76)/8 + 1)/(-5). Let z = l - 6/5. Factor -z*x**2 - 1 - 3/2*x.
-(x + 1)*(x + 2)/2
Let s(f) be the first derivative of -16*f**2 + 3*f**6 + 8*f + 7/2*f**4 - 42/5*f**5 + 34/3*f**3 + 3. What is r in s(r) = 0?
-1, 2/3, 1
Let z = 203/520 + 1/104. Let w(v) be the first derivative of 1/5*v**4 - 1/15*v**6 + 4/15*v**3 - 1 - z*v - 2/25*v**5 - 1/5*v**2. Factor w(h).
-2*(h - 1)**2*(h + 1)**3/5
Let d be (6/5 - 1)*(-10)/(-3). Factor d*h**2 + 0 + 0*h.
2*h**2/3
Suppose 2*k + 27 = -2*x - 133, -250 = 3*x - 2*k. Let j = x - -248/3. Find q, given that 4/3*q + j + 2/3*q**2 = 0.
-1
Suppose d - 5*d + 3*j - 63 = 0, -5*d = -4*j + 80. Let n be d/(-9)*(-12)/(-4). Factor 0*y - 2/7*y**n - 2/7*y**2 + 0 + 4/7*y**3.
-2*y**2*(y - 1)**2/7
Let c = -141/2 - -71. Solve 0*k - c + 1/2*k**2 = 0 for k.
-1, 1
Let x(q) be the third derivative of -q**6/1080 + q**5/180 - q**4/72 - q**3/6 - 3*q**2. Let l(y) be the first derivative of x(y). Solve l(r) = 0.
1
Let m(h) be the third derivative of h**5/240 - h**4/16 - 7*h**3/24 - 23*h**2. Factor m(t).
(t - 7)*(t + 1)/4
Let k(s) be the first derivative of -s**4 + 4*s**3 - 6*s**2 + 4*s - 4. Suppose k(w) = 0. What is w?
1
Suppose -2*x + m + 11 = 1, x - m - 7 = 0. Factor -2/3*q**x + 0*q**4 + 1/3*q + 0*q**2 + 1/3*q**5 + 0.
q*(q - 1)**2*(q + 1)**2/3
Factor -1/5*j**2 + 0 - 1/5*j.
-j*(j + 1)/5
Let k(z) be the third derivative of 0*z**3 + 0 + 1/12*z**4 + 3*z**2 - 1/30*z**5 + 0*z. Factor k(i).
-2*i*(i - 1)
Let c(a) be the second derivative of a**5/5 + 2*a**4/3 - 2*a**3 + 3*a + 11. Find x, given that c(x) = 0.
-3, 0, 1
Let s(n) be the second derivative of -n**6/300 - 2*n**5/75 - n**4/12 - 2*n**3/15 + n**2/2 - 5*n. Let o(g) be the first derivative of s(g). Solve o(d) = 0 for d.
-2, -1
Factor 2/9*y**5 + 0*y + 0 + 0*y**2 + 4/9*y**4 + 2/9*y**3.
2*y**3*(y + 1)**2/9
Suppose -3*p - 6 = -4*k, 0*p + p + 2 = 3*k. Let -8/5*j**4 + k*j**2 + 0*j - 2/5*j**3 + 0 = 0. What is j?
-1/4, 0
Suppose 5 = 3*m + 2*j - 2, 2*m - j = 7. Suppose -2/3*h + 0 - 1/3*h**m - h**2 = 0. Calculate h.
-2, -1, 0
Let w(c) = -c**2 - 9*c - 5. Let z(y) = 4*y**2 + 28*y + 16. Let o(n) = -8*w(n) - 3*z(n). Let o(u) = 0. What is u?
-2, -1
Factor -2/5*h**3 + 18/5*h - 6/5*h**2 + 54/5.
-2*(h - 3)*(h + 3)**2/5
Let d(v) be the third derivative of -v**5/10 + 5*v**4/12 - 2*v**3/3 + 8*v**2. Determine n so that d(n) = 0.
2/3, 1
Let z(x) = 4*x**3 - x**2 - 2*x + 3. Let l(h) = h**3 - h**2 - h + 1. Let w = 14 + -11. Let c(p) = w*l(p) - z(p). Factor c(g).
-g*(g + 1)**2
Let y(c) be the second derivative of 1/2*c**3 + 0 - c + 1/4*c**4 + 1/20*c**5 + 1/2*c**2. Factor y(f).
(f + 1)**3
Suppose -8 = -3*g + 2*g. Let s = 12 - g. Determine b so that 2/3*b**3 + 0*b**2 + 1/3*b**s - 2/3*b - 1/3 = 0.
-1, 1
Let y(b) be the third derivative of b**8/17640 - b**7/3528 + b**6/2520 + b**5/30 + b**2. Let n(p) be the third derivative of y(p). Solve n(x) = 0 for x.
1/4, 1
Let n(x) be the second derivative of -2*x**7/105 + 2*x**5/15 - 2*x**3/3 - 3*x**2/2 - 2*x. Let v(l) be the first derivative of n(l). Factor v(m).
-4*(m - 1)**2*(m + 1)**2
Let f(g) = 11*g**2 - 5*g - 11. Let b(w) = 6*w**2 - 3*w - 6. Suppose 6*q + 6 = 4*q. Let a(c) = q*f(c) + 5*b(c). Find z, given that a(z) = 0.
-1, 1
Let x be 5*(-6)/(-15) + 43. Suppose m**3 - 18*m**4 + 8*m**3 + 6*m**3 + 6*m - 27*m**2 - 21*m**5 + x*m**4 = 0. Calculate m.
-1, 0, 2/7, 1
Suppose -152*z + 44 = -141*z. Let 0 - 2/3*n + 0*n**2 + 0*n**z - 2/3*n**5 + 4/3*n**3 = 0. Calculate n.
-1, 0, 1
Let r(l) = 4*l + 1 - l - 2*l. Let u be r(4). Solve u*v**4 - 3*v**3 - 2*v**2 - 2*v**4 + 3*v - v**2 = 0.
-1, 0, 1
Suppose 19*f - 10 = 14*f. Let h(m) be the second derivative of 0 - 1/6*m**3 + 2*m + 1/12*m**4 + 0*m**f. Factor h(a).
a*(a - 1)
Let w = -109 + 109. Let u(n) be the second derivative of 0 - 1/36*n**4 + 1/6*n**2 - 4*n + w*n**3. Factor u(v).
-(v - 1)*(v + 1)/3
Let -9/5*m**3 - m**5 + 1/5*m**2 + 2/5*m + 0 - 13/5*m**4 = 0. What is m?
-1, 0, 2/5
Let k(t) = -t**3 - 19*t**2 + 20*t. Let h be k(-20). Find o such that -1/3*o**2 + h - 1/3*o**3 + 0*o = 0.
-1, 0
Let m(j) be the second derivative of -1/30*j**5 + 0*j**2 - 3*j + 0*j**3 + 1/18*j**4 + 0. Factor m(p).
-2*p**2*(p - 1)/3
Let l(z) = -z**3 - 6*z**2 + 6*z - 4. Let h be l(-7). Factor b**2 + 4*b**h - 3*b**3 - b**3 + b**3.
b**2*(b + 1)
Find l such that -3/2*l**5 - 3/2*l**3 + 0*l**2 + 0 - 3*l**4 + 0*l = 0.
-1, 0
Let l(z) be the second derivative of 0*z**2 + 0 + 1/84*z**7 + 1/24*z**4 - 1/40*z**5 + 0*z**3 - z - 1/60*z**6. Let l(y) = 0. What is y?
-1, 0, 1
Factor -8/5*v - 1/5*v**2 - 16/5.
-(v + 4)**2/5
Let v be (-15)/(-9) + 7/21. Let k(g) = -g - 5. Let m be k(-5). Factor m - 3/2*n**v - 3*n.
-3*n*(n + 2)/2
Let i(m) be the second derivative of -2*m**7/3 + 2*m**6/3 + 9*m**5/5 - 5*m**4/3 - 4*m**3/3 + 12*m. Find y such that i(y) = 0.
-1, -2/7, 0, 1
Suppose -7*n + 48 = -3*n - 5*k, 0 = -5*n - 3*k + 23. Factor -3 + 3*t**3 - n*t - 9*t**2 - 2*t - t**3 - 5*t**3.
-3*(t + 1)**3
Let b(x) = -x**5 - x**3 + x + 1. Let g(n) = 5*n**5 + 3*n**4 + 3*n**3 - 7*n**2 - 4*n. Let z(r) = 4*b(r) + g(r). Factor z(y).
(y - 1)**2*(y + 1)*(y + 2)**2
Suppose -5*c + 8 = -57. Suppose -c = -3*i - 4*q, 4*i - q = q + 10. Factor y**i + 0 - 1/2*y**5 + 1/2*y**4 + 0*y**2 + 0*y.
-y**3*(y - 2)*(y + 1)/2
Let d(r) be the first derivative of 6 + 2/9*r**2 + 1/3*r**6 + 14/27*r**3 - 11/18*r**4 + 0*r - 14/45*r**5. Solve d(a) = 0 for a.
-1, -2/9, 0, 1
Let w(o) be the first derivative of -o**6/21 - 6*o**5/35 - o**4/7 + 4*o**3/21 + 3*o**2/7 + 2*o/7 - 2. Factor w(m).
-2*(m - 1)*(m + 1)**4/7
Let y(v) = v**3 + 18*v**2 + 17*v + 1. Let b be y(-17). Let r be b/2 - (-3)/(-6). Find q, given that 0 + r*q + 2/9*q**3 + 4/9*q**2 = 0.
-2, 0
Let c(p) be the second derivative of p**7/105 + p**6/75 - p**5/50 - p**4/30 - 6*p. Factor c(h).
2*h**2*(h - 1)*(h + 1)**2/5
Let c(m) = -11 - 15 + 0*m + 16 - 2*m. Let v be c(-7). Factor 