0.
-1, -1/4
Suppose 3*q - 5*q + 12 = b, -2*b + 20 = 3*q. Let k(v) be the second derivative of 0*v**3 + 1/18*v**q + 2*v - 1/3*v**2 + 0. Factor k(c).
2*(c - 1)*(c + 1)/3
Let t be 18/(-3)*(-8)/120*3. Determine l, given that -t - 8/5*l - 2/5*l**2 = 0.
-3, -1
Let i(v) be the first derivative of v**3/12 - 2*v**2 + 16*v - 7. Let i(z) = 0. Calculate z.
8
Determine f so that 0 - 1/4*f**3 + 0*f - 1/4*f**2 = 0.
-1, 0
Suppose 0 = -5*u - 3*x + 50, u = -2*x - 10 + 27. Suppose -c + 5 = -q, -u*c + 5*c + 10 = 3*q. Factor 7/2*v**4 - 5/2*v**3 + q - v**2 + 0*v.
v**2*(v - 1)*(7*v + 2)/2
Suppose 9*q = 4*q. Let n be (-2 - (-1 - q)) + 3. What is d in -3*d**n - 2*d - 1 + 3*d**2 - d**2 = 0?
-1
Let s(j) be the third derivative of -2/21*j**3 + 0 - 3/70*j**5 + 0*j - 3*j**2 + 1/84*j**6 - 1/735*j**7 + 1/12*j**4. Find b, given that s(b) = 0.
1, 2
Let r(c) be the third derivative of c**11/332640 - c**9/80640 + c**8/80640 - 7*c**5/60 - 5*c**2. Let g(b) be the third derivative of r(b). Factor g(v).
v**2*(v + 1)*(2*v - 1)**2/4
Suppose -2 + 2 = 7*j. Let k(m) be the second derivative of -m**2 - 2/3*m**3 - m + j - 1/6*m**4. Factor k(i).
-2*(i + 1)**2
Factor 4/7*t + 10/7*t**2 + 0 + 4/7*t**3.
2*t*(t + 2)*(2*t + 1)/7
Let w(h) = -13*h**2 + 45*h - 53. Let c(i) = 7*i**2 - 23*i + 27. Let z(j) = -5*c(j) - 3*w(j). Factor z(t).
4*(t - 3)*(t - 2)
Let i(u) be the third derivative of u**7/140 - 3*u**6/80 + u**5/40 + 3*u**4/16 - u**3/2 - 7*u**2. What is n in i(n) = 0?
-1, 1, 2
Let b = 38 + -35. Let h(x) be the first derivative of -4*x + 8*x**5 - 3 - 34/3*x**b - 11*x**2 + x**4 + 8/3*x**6. Factor h(g).
2*(g - 1)*(g + 2)*(2*g + 1)**3
Let -4/5 - 14/5*g + 8/5*g**2 = 0. Calculate g.
-1/4, 2
Suppose 3/7*q**2 + 0 - 3/7*q = 0. Calculate q.
0, 1
Let m(c) be the third derivative of c**5/15 - 2*c**4/3 + 8*c**3/3 - 31*c**2. Factor m(s).
4*(s - 2)**2
Let f be (-40)/(-10)*(-9)/(-12). Solve 0*a**f + 0*a + 0 + 2/9*a**5 + 0*a**4 + 0*a**2 = 0.
0
Let l(x) be the third derivative of 0 + 1/260*x**6 + 0*x + 2/1365*x**7 + 0*x**3 + 0*x**4 + 0*x**5 + 6*x**2. Factor l(m).
2*m**3*(2*m + 3)/13
Factor -2/11*h - 1/11*h**2 - 1/11.
-(h + 1)**2/11
Let f be (-28)/(-10) - (-8)/40. Let s be (-2)/(-1)*(-3)/(-2). Factor -r**3 - f*r**s + 3*r**2 + r + 6*r**3.
r*(r + 1)*(2*r + 1)
Solve 399*y**4 - 151*y - 588*y**5 - 136*y - 36 + 59*y - 213*y**2 + 666*y**3 = 0 for y.
-3/4, -2/7, 1
Let s be (-6)/(-10) - 5/75*-21. Find v such that 1/3*v + 0 - 1/3*v**s = 0.
0, 1
Let 10*d**3 + 8*d**2 - 5 - 8*d**3 - 3*d - 3 + d = 0. Calculate d.
-4, -1, 1
Let a(y) be the first derivative of 2*y**5/5 - 3*y**4/2 + 2*y**3/3 + 3*y**2 - 4*y - 29. Solve a(g) = 0 for g.
-1, 1, 2
Suppose 5*y - 40 = -3*d, 5*y - 16 = -d + 4. Suppose 30 = 5*p + d. Factor 0*z + 0*z**2 + 0 + 2/3*z**5 - 4/3*z**p + 2/3*z**3.
2*z**3*(z - 1)**2/3
Let j(m) be the third derivative of m**8/224 - m**6/80 + 10*m**2. Find r such that j(r) = 0.
-1, 0, 1
Let f(z) = -z**2 - 6*z - 5. Suppose -2*d + 8 = -0*d, 2*d = -3*o - 1. Let a be f(o). Find i such that -1/2*i + 0 - i**3 + 1/4*i**a + 5/4*i**2 = 0.
0, 1, 2
Let x(u) = 9*u**2 - 12*u. Let n(l) = 8*l**2 - 11*l - 1. Let d(v) = 3*n(v) - 4*x(v). Factor d(y).
-3*(y - 1)*(4*y - 1)
Let c be (-1 + 0 - -2)*3. Suppose -o - c = -4*u, 4*u + 3*o = -13 + 36. Suppose 0 - 1/3*p**u - 2/3*p = 0. What is p?
-2, 0
Determine v, given that 3/2*v - 1/2*v**3 - 1 + 0*v**2 = 0.
-2, 1
Find q, given that 0 - 1/6*q**3 + 0*q - 1/2*q**2 = 0.
-3, 0
Let s = 8/11 - 5/22. Let i(b) be the first derivative of -s*b**4 + b**2 + 0*b - 1 + 0*b**3. Factor i(g).
-2*g*(g - 1)*(g + 1)
Let g(l) be the first derivative of 3/8*l**2 - 2 - 3/4*l**3 + 9/16*l**4 + 0*l - 3/20*l**5. Factor g(z).
-3*z*(z - 1)**3/4
Suppose 3*m + 2*p + 39 = 0, 0 = 3*m - 8*m + 3*p - 46. Let j(g) = -g - 11. Let a be j(m). Factor a*y - 2/3*y**4 - 1/3*y**3 + 0 - 1/3*y**5 + 0*y**2.
-y**3*(y + 1)**2/3
Let g = 0 - -2. Solve z + 3*z**2 - z**g - z - 2 = 0.
-1, 1
Let d(s) be the second derivative of s**8/36960 + s**7/13860 + s**4/4 + 3*s. Let o(f) be the third derivative of d(f). Factor o(y).
2*y**2*(y + 1)/11
Let c be (19 - 4) + 2 + 2. Suppose b + 11 = 3*b + 5*g, 3*b + 5*g = c. Find y, given that -b*y**2 + 1/2*y**5 + 7*y**3 - 1 - 3*y**4 + 9/2*y = 0.
1, 2
Let i be (2 + 0 + -2)/1. Determine d, given that d**4 + 44*d**3 - 11*d**4 - 8 + 68*d - 66*d**2 - 28*d + i*d**4 = 0.
2/5, 1, 2
What is u in 3*u**3 - 4*u**3 - 2*u**3 + u**2 - 4*u**2 = 0?
-1, 0
Let p(w) be the third derivative of -w**6/180 + w**4/9 + w**2. Determine k, given that p(k) = 0.
-2, 0, 2
Let g be (-36)/(-78)*(2 - (-15)/(-9)). Let 0 + 2/13*j**2 - g*j**3 + 0*j = 0. What is j?
0, 1
Suppose r - 2*s = 3 - 2, -3*s = 4*r - 26. Let x(t) be the third derivative of 0 - 1/90*t**r - 2*t**2 + 0*t + 1/18*t**4 - 1/9*t**3. Factor x(f).
-2*(f - 1)**2/3
Let d = 2482/3 + -827. Factor 0 - d*q**2 + 1/6*q + 1/6*q**3.
q*(q - 1)**2/6
Let w be (-1)/1 + -9 - 2. Let z = 12 + w. Factor -3/4*b + z + 3/4*b**2.
3*b*(b - 1)/4
Let x(z) be the second derivative of 0 + 1/66*z**4 - 3*z + 1/33*z**3 + 0*z**2. Factor x(v).
2*v*(v + 1)/11
Let -2/3*t + 1/3*t**2 + 1/3 = 0. What is t?
1
Find b such that 16*b**3 + 4*b**2 - 3*b + 0*b**2 - 19*b**3 + 2*b**2 = 0.
0, 1
Let a(v) be the third derivative of -v**6/120 - v**5/60 + v**4/8 - 2*v**3/3 - 2*v**2. Let i be a(-3). Factor -6 - i*c - 6*c**2 + 2 + 15*c.
-2*(c - 1)*(3*c - 2)
Suppose 5*j = -5*v + 45, -5*v + 1 = -4*j - 8. Let n(u) = -u**3 + 5*u**2 - 2*u - 5. Let c be n(j). Factor -1/2 - m**c + 1/2*m - 1/2*m**4 + 1/2*m**5 + m**2.
(m - 1)**3*(m + 1)**2/2
Let d be ((-73)/10)/(1/2). Let s = -71/5 - d. Suppose s*g + 0 - 1/5*g**2 = 0. Calculate g.
0, 2
Suppose 24 + 52 = -4*p. Let q be 2/(-12) - p/6. Factor i**2 + i + 0*i**2 + 1 - 5 - i**q + 3.
-(i - 1)**2*(i + 1)
Let f(h) = h - 6. Let o be f(9). Let d(i) be the second derivative of 0*i**o + 0*i**2 + 1/21*i**7 + 0*i**5 - 2*i + 0 + 1/15*i**6 + 0*i**4. Factor d(t).
2*t**4*(t + 1)
Let h(g) be the first derivative of g**5/60 + g**4/8 + g**3/3 + 3*g**2/2 - 2. Let c(b) be the second derivative of h(b). Factor c(x).
(x + 1)*(x + 2)
Suppose -1/2*c**5 + 0*c**4 - 4*c**2 + 3*c**3 + 3/2*c + 0 = 0. Calculate c.
-3, 0, 1
Factor -35*a**5 - 370*a**5 - 53*a - 435*a**2 + 855*a**4 + 80 + 173*a - 215*a**3.
-5*(a - 1)**3*(9*a + 4)**2
Let z(i) = i**2 + 3*i + 3. Let h be z(-3). Factor h*l**4 + 12*l**3 + 3*l**2 - 2*l + 0*l**3 + 4*l**4.
l*(l + 1)**2*(7*l - 2)
Let l(r) be the second derivative of -r**6/80 + r**5/80 + 7*r**4/96 + r**3/24 + 9*r. Let l(u) = 0. Calculate u.
-1, -1/3, 0, 2
Solve -22 + 34 + 2*k**2 + 16*k + 2*k**2 = 0 for k.
-3, -1
Let h(o) = -5*o**2 + 3*o - 10. Let z(j) = 9*j**2 - 6*j + 19. Let l(n) = -11*h(n) - 6*z(n). Factor l(u).
(u - 1)*(u + 4)
Let l(v) be the first derivative of 25*v**3/3 + 30*v**2 + 20*v + 11. Determine p, given that l(p) = 0.
-2, -2/5
Let y(j) be the second derivative of 1/12*j**4 - j + 0*j**2 + 1/90*j**6 + 1/20*j**5 + 0 + 1/18*j**3. Factor y(p).
p*(p + 1)**3/3
Let r(i) be the first derivative of i**6/3 + 2*i**5/5 - i**4/2 - 2*i**3/3 + 5. Solve r(f) = 0 for f.
-1, 0, 1
Let i(k) = -14*k**2 + 8*k - 5. Let g(y) = 5*y**2 - 3*y + 1 + 4 - 3. Let m = -11 - -22. Let f(u) = m*g(u) + 4*i(u). Factor f(q).
-(q - 1)*(q + 2)
Let a(j) be the first derivative of -j**6/2 + 27*j**5/5 - 24*j**4 + 56*j**3 - 72*j**2 + 48*j + 10. Factor a(i).
-3*(i - 2)**4*(i - 1)
Let g(a) be the third derivative of a**6/120 - a**5/24 + a**4/12 - 3*a**3/2 - 3*a**2. Let x(n) be the first derivative of g(n). Factor x(r).
(r - 1)*(3*r - 2)
Let y(w) = w + 1. Let n(v) = 2*v**2 + 8*v - 2. Let d(p) = n(p) + 2*y(p). Factor d(a).
2*a*(a + 5)
Let z(j) be the second derivative of j**5/110 - j**4/22 + 7*j. Suppose z(p) = 0. What is p?
0, 3
What is b in 1/4*b**5 + 0*b + 1/4*b**3 + 0 + 1/2*b**4 + 0*b**2 = 0?
-1, 0
Let g be ((-21)/(-9) - 2)*12. Find k such that 2*k**2 + 0 + 0 - 4*k**5 + 5*k**5 - k - 2*k**g = 0.
-1, 0, 1
Determine f so that 8/11*f**2 - 2/11*f**5 + 4/11*f**3 - 2/11*f - 4/11*f**4 - 4/11 = 0.
-2, -1, 1
Let q(s) be the third derivative of -s**7/7560 + s**4/24 + 3*s**2. Let g(o) be the second derivative of q(o). Factor g(v).
-v**2/3
Let l(f) be the third derivative of f**5/300 + f**4/60 + f**3/30 - 8*f**2. What is g in l(g) = 0?
-1
Let v(r) = 9*r**3 + 6*r**2 + 4*r. Let a(d) be the second derivative of -9*d**5/20 - d**4/2 - 5*d**3/6 + d. Let l(j) = -3*a(j) - 4*v(j