or 1/4*v**2 + 1/4*v**3 + 0*v - c*v**4 + 0.
-v**2*(v - 1)*(2*v + 1)/4
Suppose -s - 2*s - 35 = -5*n, -5*n - s = -15. Let m(l) be the first derivative of -3 + 0*l - 3/4*l**n + l**3 + 0*l**2. Find x, given that m(x) = 0.
0, 1
Suppose 4*z = -0*z. Suppose 5*w = 3*w + 36. Factor -8/5*v + 48/5*v**2 + z - w*v**3 + 10*v**4.
2*v*(v - 1)*(5*v - 2)**2/5
Factor 3*x**3 - 3*x**2 - x**4 + 4*x**2 + 0*x**4 - 2*x**3 - x.
-x*(x - 1)**2*(x + 1)
Let p = 916/5 - 183. Let z(q) be the first derivative of 0*q**4 + p*q**5 - 1/4*q**2 + 1 + 0*q + 1/12*q**6 - 1/3*q**3. Suppose z(m) = 0. What is m?
-1, 0, 1
Solve -3/4*g**2 - 15/8*g + 9/4*g**3 - 3/8*g**5 + 9/8 - 3/8*g**4 = 0 for g.
-3, -1, 1
Let s(c) be the second derivative of -1/2*c**3 + 0*c**5 + 0 - 3*c + 0*c**2 + 1/14*c**7 - 1/2*c**4 + 1/5*c**6. Factor s(k).
3*k*(k - 1)*(k + 1)**3
Let g(b) be the second derivative of 15*b**4/4 + 5*b**3 + 5*b**2/2 - 8*b. Factor g(z).
5*(3*z + 1)**2
Suppose g + 5 = 15. Let n = -8 + g. Find o such that 1/4*o - 1/4*o**4 + 3/4*o**3 + 0 - 3/4*o**n = 0.
0, 1
Let y(v) be the second derivative of -2*v**7/105 - v**6/30 - v**2 - 7*v. Let h(m) be the first derivative of y(m). Find r, given that h(r) = 0.
-1, 0
Let x(g) be the third derivative of -g**6/27 - g**5/60 + g**4/18 - g**3/6 - 6*g**2. Let m(t) be the first derivative of x(t). Suppose m(s) = 0. What is s?
-2/5, 1/4
Let k = -143 - -1291/9. Let c(d) be the first derivative of 1/9*d**2 + 1 + 4/27*d**3 - k*d - 1/18*d**4. Determine s, given that c(s) = 0.
-1, 1, 2
Let i(h) = -2*h - 9. Let t be i(-6). Factor -4*x**2 + 2*x + 0*x - 6*x + 2*x**t - 3*x**3.
-x*(x + 2)**2
Let a be (-7 - (-3 + 0))*-1. Let w be (-8 - -4)/(a/(-2)). Factor 0*c + 2/3*c**w - 2/3.
2*(c - 1)*(c + 1)/3
Let j be (8 + (0 - 0))/((-762)/(-127)). Factor -j + 8/3*c + 19/3*c**2 + 7/3*c**3.
(c + 1)*(c + 2)*(7*c - 2)/3
Factor 184 - 184 + 5*p**3.
5*p**3
Suppose 0*n + 4*n = 12. Let v(q) be the third derivative of 0*q + 2*q**2 + 0*q**n + 0 + 1/96*q**4 + 1/240*q**5. Factor v(c).
c*(c + 1)/4
Let k(g) = g + 2. Let c be k(5). Suppose -3*w = -d - 6, -3*d + 4 = 2*w - c*d. Factor 0*b**w - 5*b + 2 + 3*b + 2*b**3 - 2*b**2.
2*(b - 1)**2*(b + 1)
Let x(o) be the third derivative of o**5/300 + o**4/40 + o**3/15 - 6*o**2. Find k such that x(k) = 0.
-2, -1
Let x(p) = -2*p + 7. Let d be x(5). Let f be (6/4)/(d/(-6)). Factor 0*h**4 - 4*h**3 + 2*h**f + 0*h**4 + 2*h**4.
2*h**3*(h - 1)
Let b(r) be the first derivative of -1/4*r**2 + 1/6*r**3 - r - 1. Solve b(l) = 0 for l.
-1, 2
Let c(a) be the third derivative of -5*a**2 + 0 + 0*a + 1/200*a**6 - 1/100*a**5 - 1/40*a**4 + 1/10*a**3. Find h such that c(h) = 0.
-1, 1
Let w(p) = p**3 + 2*p**2 + p - 4. Let i(h) = 4*h**3 + 7*h**2 + 2*h - 13. Let c = -13 + 9. Let l(a) = c*i(a) + 14*w(a). What is x in l(x) = 0?
-2, 1
Let y(f) be the third derivative of -f**7/420 - f**6/72 - f**5/30 + f**4/12 + 3*f**2. Let z(g) be the second derivative of y(g). Factor z(o).
-2*(o + 1)*(3*o + 2)
Let z = -394 - -396. Factor 0 - 1/4*s**z + 1/4*s**4 + 0*s**3 + 0*s.
s**2*(s - 1)*(s + 1)/4
Suppose 5*n = 2*v + 7 + 5, 4*v + n - 20 = 0. Let k(u) be the first derivative of -14/3*u**3 + 0*u + 2*u**2 + 1 - 6/5*u**5 + v*u**4. What is i in k(i) = 0?
0, 2/3, 1
Let d(p) be the third derivative of 1/240*p**6 + 0*p**3 + 0*p**4 + 2*p**2 - 1/60*p**5 + 0 + 0*p. Let d(a) = 0. Calculate a.
0, 2
Let h = 0 - -4. Let v(b) be the second derivative of -b**4/12 + b**3/2 + b**2/2 - 7*b. Let c(x) = -x**2 + 4*x + 1. Let q(g) = h*v(g) - 3*c(g). Factor q(u).
-(u - 1)*(u + 1)
Let h be 2/(-4)*(-4 - 4). Suppose -3*t + 54 = h*k, -6*k + 3*k + 53 = -4*t. Solve s**3 - 2 + 7*s**3 - s**2 - k*s**2 + 10*s = 0.
1/2, 1
Suppose 5*a - 7 + 2 = 0. Let w(c) = -c**2 + c - 1. Let z(m) = -m**3 - 2*m**2 - 4*m. Let y(j) = a*z(j) + w(j). Let y(q) = 0. Calculate q.
-1
Let v(d) be the second derivative of d**6/540 + d**5/135 + d**4/108 + 3*d**2/2 + 2*d. Let g(l) be the first derivative of v(l). Factor g(k).
2*k*(k + 1)**2/9
Let o(t) be the third derivative of -t**6/420 - t**5/105 - t**4/84 - 6*t**2. Factor o(j).
-2*j*(j + 1)**2/7
Let f(p) be the second derivative of p**6/10 - p**4/2 + 3*p**2/2 + 22*p. Solve f(u) = 0.
-1, 1
Suppose 2*d + 0 = 6. Let -6*s + 4*s - 7*s**3 + 5*s - 20*s**d = 0. What is s?
-1/3, 0, 1/3
Let n(s) be the third derivative of s**5/360 - s**4/72 - 15*s**2. Determine h, given that n(h) = 0.
0, 2
Let w = -23 - -44. Let u be 1/(-2) + w/6. Let -9*y**4 - 3*y**5 + 9*y - 11*y**3 - 3 + 3 + 6*y**2 + 3 + 5*y**u = 0. Calculate y.
-1, 1
Suppose -5*x - k = -19, -3*x - 4*k = x - 12. Let z(a) be the third derivative of 0*a**x - 2*a**2 + 1/180*a**5 + 0 + 0*a**3 + 0*a. Suppose z(d) = 0. Calculate d.
0
Let x(r) = -r**2 - 9*r - 9. Let s be x(-7). Let f(l) be the third derivative of -1/3*l**3 + 1/12*l**s + 0*l + l**2 - 1/8*l**4 + 0. Find n such that f(n) = 0.
-2/5, 1
Let y(i) be the third derivative of -i**8/336 + 3*i**7/70 - 4*i**6/15 + 14*i**5/15 - 2*i**4 + 8*i**3/3 - 9*i**2. Factor y(x).
-(x - 2)**4*(x - 1)
Factor 0*l - 4/7*l**2 + 4/7.
-4*(l - 1)*(l + 1)/7
Let j be (-2 - -2) + -1 + 5/3. Let f(h) be the first derivative of -j*h**3 + h**2 - 2 + 0*h. Determine y, given that f(y) = 0.
0, 1
Let r(q) be the third derivative of q**8/448 - q**7/28 + 19*q**6/80 - 17*q**5/20 + 57*q**4/32 - 9*q**3/4 + 20*q**2. Let r(b) = 0. Calculate b.
1, 2, 3
Let w(c) be the first derivative of c**6/300 + c**5/150 - c**4/30 + 3*c**2/2 - 2. Let d(m) be the second derivative of w(m). Suppose d(g) = 0. Calculate g.
-2, 0, 1
Let r = -36 + 42. Let x be 5/25 - r/(-20). Factor x + 1/2*a**3 - 1/2*a - 1/2*a**2.
(a - 1)**2*(a + 1)/2
Let d = 6 - 6. Suppose y + d = 2. Factor y*s**2 + 2*s - 10*s**2 + s - 5*s.
-2*s*(4*s + 1)
Let v(q) be the second derivative of 0 - 1/4*q**2 + 1/48*q**4 + 1/24*q**3 + 3*q. Factor v(x).
(x - 1)*(x + 2)/4
Let w be 1/(3 - (-3 + -2)). Let k(l) be the second derivative of 3*l + 1/8*l**2 - 1/40*l**5 + 0 + w*l**3 - 1/40*l**6 - 1/168*l**7 + 1/24*l**4. Factor k(q).
-(q - 1)*(q + 1)**4/4
Let k(j) = -7*j - 2. Let z be k(-2). Suppose 3*p - 14 = 4*l, 7*l - 2*l + z = p. Factor 2/3 + 1/3*a - 1/3*a**p.
-(a - 2)*(a + 1)/3
Factor 0*f**2 - 12/5*f**4 + 0*f - 8/5*f**3 + 0 - 4/5*f**5.
-4*f**3*(f + 1)*(f + 2)/5
Let g(s) be the second derivative of -s**4/3 - 10*s**3/3 - 8*s**2 - 7*s. Factor g(m).
-4*(m + 1)*(m + 4)
Let h(c) be the first derivative of 1/18*c**4 + 0*c + 0*c**2 - 2/27*c**3 - 5. Factor h(o).
2*o**2*(o - 1)/9
Let h(c) be the second derivative of -c**5/40 + 7*c**4/24 - 5*c**3/4 + 9*c**2/4 + 2*c. Suppose h(o) = 0. Calculate o.
1, 3
Factor -s**2 + 1 + 2 - 2.
-(s - 1)*(s + 1)
Suppose j = 5*j + j. Let c(t) be the second derivative of 0*t**3 + j - 1/30*t**6 + 1/12*t**4 + 3*t + 0*t**2 + 0*t**5. Solve c(r) = 0.
-1, 0, 1
Let q(i) be the second derivative of -i**6/255 - i**5/170 + i**4/102 + i**3/51 - 4*i. Solve q(n) = 0 for n.
-1, 0, 1
Suppose -4*g + 125 - 20*g**2 - 16*g**3 - 125 = 0. What is g?
-1, -1/4, 0
Determine h so that 4 + 5*h**2 - 5*h**2 - 4*h**2 + 0*h**2 = 0.
-1, 1
Let r(h) be the third derivative of -h**9/5040 + h**8/840 - h**7/420 + h**5/120 + h**4/12 + 3*h**2. Let x(l) be the second derivative of r(l). Factor x(s).
-(s - 1)**3*(3*s + 1)
Let v(h) be the third derivative of -9*h**6/20 + 9*h**5/5 - 3*h**4 + 8*h**3/3 - 6*h**2. Let v(g) = 0. Calculate g.
2/3
Let n be (5/10)/(1/4). Let 3 - 5 - 2*o**2 + o - 3*o - n*o = 0. Calculate o.
-1
Let o be (0 - (-30 + 2))*(-2)/(-12). Factor -10/3*t**2 - 4/3 - o*t.
-2*(t + 1)*(5*t + 2)/3
Suppose -2*w + 6 = w. Let 2*d - w*d**2 + 1 - 4 + 3 = 0. Calculate d.
0, 1
What is d in 5*d - 17*d - 12 - 3*d**2 + 0 = 0?
-2
Let t = -44 + 224/5. Solve 4/5 + 8/5*d**3 + 2/5*d**5 - 2*d - 8/5*d**4 + t*d**2 = 0 for d.
-1, 1, 2
Determine a so that 5/6*a**3 - 5/2*a**2 - 5/3 + 5/6*a**4 - 25/6*a = 0.
-1, 2
Let f(w) be the second derivative of w**4/8 + w**3 + 9*w**2/4 - w. Suppose f(m) = 0. What is m?
-3, -1
Let l(q) be the second derivative of -q**7/84 + q**6/30 - q**4/12 + q**3/12 + q. Factor l(x).
-x*(x - 1)**3*(x + 1)/2
Let g(q) be the first derivative of 3/2*q**2 - 9/2*q + 5 + 4/3*q**3 - 3/4*q**4 + 1/10*q**5. Factor g(m).
(m - 3)**2*(m - 1)*(m + 1)/2
Let a(c) be the second derivative of -c**6/105 + c**4/42 - 5*c. Factor a(i).
-2*i**2*(i - 1)*(i + 1)/7
Let p(j) be the third derivative of -j**6/480 - j**5/96 - j**4/48 - j**3/3 + 8*j**2. Let m(d)