/24*p**6 - 1/16*p**4 + 1/10*p**5. Factor x(b).
-b**3*(b - 1)**2/4
Let t(d) be the first derivative of 4*d**5/5 - 3*d**4 + 8*d**2 - 14. Factor t(m).
4*m*(m - 2)**2*(m + 1)
Let l(u) be the third derivative of u**6/780 + u**5/390 - u**4/156 - u**3/39 - 11*u**2. Find h, given that l(h) = 0.
-1, 1
Let y(s) be the first derivative of -s**4/4 + 2*s**3/3 + s**2/2 - 2*s + 5. Factor y(i).
-(i - 2)*(i - 1)*(i + 1)
Let l(c) be the first derivative of -c**5/50 + c**4/30 + c**3/15 - c**2/5 - 6*c + 1. Let b(k) be the first derivative of l(k). Determine g, given that b(g) = 0.
-1, 1
Let p(w) = -w + 4. Let k be p(0). Factor -2*h**2 + 7*h**4 - k + 4 + 5*h**3.
h**2*(h + 1)*(7*h - 2)
Let t(g) = -10*g**4 + 15*g**3 + 10*g**2 - 10*g - 5. Let n(w) = 5*w**4 - 7*w**3 - 5*w**2 + 5*w + 2. Let r(m) = -5*n(m) - 2*t(m). Solve r(x) = 0.
-1, 0, 1
Suppose d = -0*d + 4*m - 8, 0 = 3*m - 9. Suppose 0 = -d*l + 2*z + 26, 4*z - 3 = -3*l - 0*l. Factor w**2 + w**2 + 4*w**5 + 6*w**4 - 6*w**l - 6*w**3.
-2*w**2*(w - 1)**3
What is i in -9/2*i + 3 + 3/2*i**2 = 0?
1, 2
Let x = -6 - -37. Let u = x + -123/4. Factor g + 1 + u*g**2.
(g + 2)**2/4
Let h(g) be the second derivative of 0*g**3 + 0*g**2 + 0 - 1/60*g**4 + g. Determine i, given that h(i) = 0.
0
Let c(q) be the third derivative of 5/84*q**8 + 0*q**4 - 1/15*q**5 - q**2 - 1/105*q**7 + 0*q + 0*q**3 - 7/60*q**6 + 0. Find r such that c(r) = 0.
-1/2, -2/5, 0, 1
Determine n so that 2/9*n + 2/9*n**2 - 2/9 - 2/9*n**3 = 0.
-1, 1
Let h(z) = -z - 1. Let n(u) be the first derivative of -u**3/3 - 2*u**2 - 7*u - 2. Let m(f) = -4*h(f) - 2*n(f). What is c in m(c) = 0?
-3
Let -16/11*m + 8/11 - 10/11*m**2 = 0. What is m?
-2, 2/5
Determine b so that -b + 0 + 1/4*b**2 = 0.
0, 4
Suppose -16*n + 21*n = 25. Let y(m) be the second derivative of 0*m**2 + 1/18*m**4 - 1/135*m**6 - 2*m + 0 + 0*m**n + 2/27*m**3. What is z in y(z) = 0?
-1, 0, 2
Let o(k) be the first derivative of k**4/12 - k**3/9 - k**2 - 10. Suppose o(u) = 0. What is u?
-2, 0, 3
Let i(y) = -5*y**2 - y - 1 + 5*y + 2*y. Let l(s) = 0 + 13*s + 1 - 5 + 2 - 11*s**2. Let t(o) = 13*i(o) - 6*l(o). Determine h, given that t(h) = 0.
-1, 1
Factor -2/7*v**3 - 12/7*v - 10/7*v**2 + 0.
-2*v*(v + 2)*(v + 3)/7
Let m(i) = 8*i**2 + i**3 - 3*i - 2 + 10 + 2*i. Let g be m(-8). Determine v, given that -g*v - 13*v**2 - 4 - 14*v**3 + 5*v**3 - 8*v**2 = 0.
-1, -2/3
Factor 4/3 - 7/3*i**2 - 4*i.
-(i + 2)*(7*i - 2)/3
Let p(v) be the second derivative of 1/5*v**2 - 1/100*v**5 + 0 + 3*v - 1/6*v**3 + 1/15*v**4. Factor p(z).
-(z - 2)*(z - 1)**2/5
Let s(x) = 5*x**4 - 13*x**3 + 12*x**2 + 5*x - 16. Let m(b) = b**4 - b**3 - b. Let d(k) = 3*m(k) - s(k). Find j, given that d(j) = 0.
-1, 2
Let l = 0 + 2. Factor 2*a**l + 5*a**2 - 10*a**2 + 3.
-3*(a - 1)*(a + 1)
Let w(i) be the first derivative of -i**5/90 + i**3/27 - 3*i + 5. Let c(z) be the first derivative of w(z). Find k such that c(k) = 0.
-1, 0, 1
Factor 30*p**4 + 3*p - 67*p - 180*p**2 - 39*p**3 + 4*p - 48*p - 3*p**5.
-3*p*(p - 6)**2*(p + 1)**2
Let z be (-2)/(-2*2 - -3). Solve -1 + 0*l**2 + z*l**2 + 0*l**2 + 6*l + 5 = 0 for l.
-2, -1
Let k(f) be the second derivative of f**6/150 - 3*f**5/100 - f**4/60 + f**3/10 + 4*f. Factor k(a).
a*(a - 3)*(a - 1)*(a + 1)/5
Let i = 593 + -2964/5. Factor -1/5*a - i*a**2 + 1/5*a**3 + 1/5*a**4 + 0.
a*(a - 1)*(a + 1)**2/5
What is a in 6*a**3 - a**3 - 2*a**2 - a**3 + 2 + 0*a**3 - 4*a = 0?
-1, 1/2, 1
Let a(q) be the second derivative of -5*q**4/12 + 20*q**3/3 - 40*q**2 + 14*q. Factor a(y).
-5*(y - 4)**2
Let d(l) be the third derivative of l**8/10080 + l**5/30 + 2*l**2. Let h(k) be the third derivative of d(k). Factor h(b).
2*b**2
Let n be ((-4)/6)/((-4)/12). Factor 1 + 0 - n*q**2 + 1.
-2*(q - 1)*(q + 1)
Let o(i) = 1 - 3 + i**2 - 2*i + i + 2*i. Let x be o(-2). Factor 1/2*g**4 + x - g - 3/2*g**2 + 0*g**3.
g*(g - 2)*(g + 1)**2/2
Let r = 75 - 75. Find v, given that 2/9*v**3 + 0*v**2 + r - 2/9*v = 0.
-1, 0, 1
Let p(i) be the first derivative of 1/6*i**4 + 3 - 2/3*i + 2/9*i**3 - 1/3*i**2. Let p(w) = 0. Calculate w.
-1, 1
Let y(u) be the first derivative of 2/21*u**3 - 2/7*u + 0*u**2 + 4. Determine m so that y(m) = 0.
-1, 1
Let q(i) = 2*i - 4. Let y be q(4). Let z(g) be the second derivative of -1/18*g**y + 1/9*g**3 - 1/30*g**5 + 0*g**2 + 2*g + 0 + 1/45*g**6. Factor z(a).
2*a*(a - 1)**2*(a + 1)/3
Let m(a) be the third derivative of a**6/24 - a**5/3 + 5*a**4/8 - a**2. Factor m(v).
5*v*(v - 3)*(v - 1)
Suppose -4*l + 5 = -15. Let z(w) be the second derivative of -1/10*w**6 + 0*w**2 + 0 - 1/20*w**l + 2*w + 1/4*w**4 + 1/6*w**3. Determine m, given that z(m) = 0.
-1, -1/3, 0, 1
Let j(k) be the first derivative of k**6/40 + k**5/20 - k**4/8 - k**3/2 - k**2 + 1. Let t(q) be the second derivative of j(q). Solve t(m) = 0.
-1, 1
Let w(p) be the second derivative of 1/2*p**2 + 0 + 2*p + 1/12*p**4 + 1/3*p**3. Determine f, given that w(f) = 0.
-1
Let k(j) be the first derivative of 5 + 0*j**2 - 3/16*j**4 + 0*j - 1/6*j**3 - 1/20*j**5. Factor k(m).
-m**2*(m + 1)*(m + 2)/4
Let g(b) be the second derivative of -5*b**4/12 - 5*b**3 - 45*b**2/2 + 16*b. Solve g(o) = 0 for o.
-3
Let y(u) = -5*u**3 + 2*u**2 + 3*u + 3. Let m(a) = -6*a**3 + 2*a**2 + 2*a + 2. Let s(l) = -3*m(l) + 2*y(l). What is i in s(i) = 0?
0, 1/4
Let o(a) be the second derivative of -a**7/315 + a**6/90 - 5*a**2/2 - 4*a. Let c(v) be the first derivative of o(v). Factor c(x).
-2*x**3*(x - 2)/3
Let f(u) be the third derivative of u**5/15 - u**4/3 + 41*u**2. Suppose f(g) = 0. What is g?
0, 2
Let j be -2 - (-3 + 20/(-12)). Let v = j + -2. Factor 2/3*i - 2/3*i**3 - 2/3 + v*i**2.
-2*(i - 1)**2*(i + 1)/3
Let y(i) be the third derivative of 9*i**7/140 + i**6/15 + i**5/45 + i**3/6 + i**2. Let b(l) be the first derivative of y(l). Factor b(x).
2*x*(9*x + 2)**2/3
Solve -5*n**4 + 36*n + 45*n**2 - 60 - 30*n - 26*n = 0.
-3, -1, 2
Let v(u) be the third derivative of 1/150*u**5 + 0*u**3 - 6*u**2 - 1/60*u**4 + 0*u + 0. Solve v(j) = 0.
0, 1
Suppose 2*i + 12 = 4*x, 3*x - 9 = 5*i - 7*i. Factor i*r**2 + 0 - 2/13*r**3 + 0*r.
-2*r**3/13
Determine v so that -25 - 81*v**3 + 93*v + 48 + 69*v**2 - 5 - 87*v**4 - 12*v**5 = 0.
-6, -1, -1/4, 1
Let b(t) = -3*t. Let i be b(-1). Let l be 1*i/((-30)/(-4)). Factor 2/5*y**3 - 2/5 - l*y + 2/5*y**2.
2*(y - 1)*(y + 1)**2/5
Factor -5 - 8*n**3 + 48*n**2 - 46*n**2 + 3 + 8*n.
-2*(n - 1)*(n + 1)*(4*n - 1)
Suppose 7*s - 2*x - 37 = 4*s, -x = -s + 11. Suppose 24 = 2*z - 0*o + 4*o, -5*z = o - s. Factor -z*h**4 + 8*h**3 - h + h + 8*h**2 + 4*h**4.
2*h**2*(h + 2)**2
Let y be (8/3)/((-2)/(-3)). Factor 5*v**4 + 12*v**4 - 18*v**y - v**5.
-v**4*(v + 1)
Let g(s) be the first derivative of s**9/12096 - s**8/3360 - s**3/3 + 4. Let o(h) be the third derivative of g(h). Find y, given that o(y) = 0.
0, 2
Let z(t) be the third derivative of -t**6/60 - 2*t**2. Let z(p) = 0. What is p?
0
Let l(s) be the third derivative of -s**6/16 - s**5/24 + 5*s**4/16 + 5*s**3/12 + 13*s**2. Find g, given that l(g) = 0.
-1, -1/3, 1
Let s(b) be the second derivative of 0*b**2 - 1/45*b**6 + 1/15*b**5 + 3*b - 1/18*b**4 + 0 + 0*b**3. Suppose s(r) = 0. Calculate r.
0, 1
Let y(o) = -8. Let r(b) = b + 9. Let w(j) = -3*r(j) - 2*y(j). Let c be w(-5). Solve 1/3*q**c - 1/3*q**2 + 0 + 0*q**3 + 0*q = 0.
-1, 0, 1
Let k be 21/7 + (-38)/14. Let 0 - 2/7*v - k*v**2 = 0. What is v?
-1, 0
Suppose 3*r + 4*c - 20 = 0, -2*c + 3 + 7 = r. Let w(h) be the second derivative of -1/30*h**5 + 1/6*h**4 - 2/9*h**3 + 0*h**2 + r + h. Factor w(k).
-2*k*(k - 2)*(k - 1)/3
Let i(s) = s**3 - s**2 - 5*s + 3. Let x(f) = 6*f - 3. Let c(l) = -3*i(l) - 2*x(l). Suppose c(w) = 0. Calculate w.
-1, 1
Let j(t) = 2*t + 13. Let w be 18/27 + 34/(-6). Let u be j(w). Factor 0 + 2*b**2 + 2*b**u + 1/2*b**4 + 0*b.
b**2*(b + 2)**2/2
Let x(j) = 3*j**2 - 10*j - 2. Let o(u) = 4*u**2 - 9*u - 1. Let w(g) = -5*o(g) + 6*x(g). Factor w(f).
-(f + 7)*(2*f + 1)
Solve 16 - 4 - 5*i + 3*i**2 - 7*i = 0 for i.
2
Let h = 1 - -9. Factor 2*y**4 + y - y**4 + h*y**2 - y**3 - 2*y**4 - 9*y**2.
-y*(y - 1)*(y + 1)**2
Let w(u) = u**2 + 4*u - 7. Let n be w(-6). Solve n*l**4 - 2*l**3 + 3*l**4 + 3*l**2 - 7*l**4 + 5*l**3 + l = 0 for l.
-1, 0
Suppose 3*w + 3*d = 12, -4*w = -6*d + 2*d - 8. Let p = 3 + -3. Factor x**w + p*x**3 - 3*x**3 + 4 + 6*x.
-2*(x - 2)*(x + 1)**2
Let w be (27/(-6))/(-4 + 1). Factor 3 - 3/2*z**2 + w*z.
-3*(z - 2)*(z