2 = 0.
-1/2, 0
Suppose -4*p + 4 = 5*k, -5*k - 3*p + 7*p = 4. Let t(q) be the third derivative of 0*q + 2*q**2 + 0*q**4 + k*q**5 - 1/300*q**6 + 0 + 0*q**3. Factor t(v).
-2*v**3/5
Find l, given that 0*l**3 + 0 + 2/9*l**4 - 2/3*l**2 - 4/9*l = 0.
-1, 0, 2
Let g(k) be the first derivative of k**4/10 + 52*k**3/15 + 169*k**2/5 - 39. Determine q so that g(q) = 0.
-13, 0
Factor 2/9*g**5 + 0*g + 4/9*g**4 + 0 + 2/9*g**3 + 0*g**2.
2*g**3*(g + 1)**2/9
Let g(y) be the first derivative of -3*y**4/4 + 9*y**2/2 + 6*y - 36. Determine l, given that g(l) = 0.
-1, 2
Let f(o) be the second derivative of 2*o**6/15 + 2*o**5/5 - o**4/3 - 4*o**3/3 - 25*o. Suppose f(s) = 0. Calculate s.
-2, -1, 0, 1
Let c = -18 - -16. Let l be 0/((-2)/c + 0). Find z such that l - 6/7*z**3 - 8/7*z**2 - 2/7*z = 0.
-1, -1/3, 0
Suppose -5 - 1 = -3*r. Solve 2 - z**4 + 12*z - 4 - 2 + 6*z**3 - 13*z**r = 0.
1, 2
Factor 0 - 12/7*n**2 - 12/7*n - 3/7*n**3.
-3*n*(n + 2)**2/7
Let u(o) = 5*o - 6. Let i be u(4). Let z = 10 - 8. Solve -3*w**z - 2*w**2 + i*w**4 + 3*w**2 + 4*w**3 + 8*w**5 = 0.
-1, 0, 1/4
Let f = 1002/5 - 200. Factor f*w + 2/5*w**2 - 2/5 - 2/5*w**3.
-2*(w - 1)**2*(w + 1)/5
Find i such that 2/3*i**5 - 4/9*i - 2/3*i**2 + 14/9*i**4 + 2/3*i**3 + 0 = 0.
-1, 0, 2/3
Let m(s) = -s**3. Let i(l) = -2*l**5 - 8*l**4 - 14*l**3 - 8*l**2 - 2*l. Let u(a) = -i(a) + 2*m(a). Let u(j) = 0. What is j?
-1, 0
Let m = 3 + -3. Suppose 10 + m = 5*g. Determine a so that 3*a**3 + g + 6*a + 1/2*a**4 + 13/2*a**2 = 0.
-2, -1
Let u be 3/(-5)*(-1 - 4). Let v(h) = -h**3 - 2*h**2 + h - 4. Let g be v(-3). Determine q, given that u*q**4 - 4*q**4 - 4*q**g + 2 + 3*q**4 = 0.
-1, 1
Let d(q) = -13*q**4 - 7*q**3 + 13*q**2 + 7*q + 3. Let p(n) = 12*n**4 + 6*n**3 - 12*n**2 - 6*n - 2. Let g = 10 + -12. Let a(v) = g*d(v) - 3*p(v). Factor a(o).
-2*o*(o - 1)*(o + 1)*(5*o + 2)
Let o(b) = -4*b**3 + 5*b**2 - b - 10. Let y(v) = -3*v**3 + 5*v**2 - v - 9. Let q(w) = 4*o(w) - 5*y(w). Solve q(i) = 0 for i.
-5, -1, 1
Let a be 1/4 + 444/(-48). Let d = -5 - a. Find z, given that 0*z - z**d + 1/3*z**5 + 0 + z**3 - 1/3*z**2 = 0.
0, 1
Let d = 115 + -919/8. Let r(v) be the third derivative of 0*v - 2*v**2 + 1/20*v**5 - d*v**4 + 1/6*v**3 + 0 - 1/120*v**6. Factor r(s).
-(s - 1)**3
Let f = 5 - 3. Let p = 4 - f. Solve p*y**4 + 2*y - 16*y + 5 + 18*y**2 - 1 - 10*y**3 = 0.
1, 2
Let g(f) = -f**2 + 9*f - 4. Let p be 4 + 8 + (4 - 8). Let b be g(p). Suppose 3/2*y**b + 0*y + 3/2*y**3 + 0 + 1/2*y**5 + 1/2*y**2 = 0. Calculate y.
-1, 0
Let o(h) be the first derivative of -h**6/40 + h**4/8 - 9*h**2/2 - 8. Let y(x) be the second derivative of o(x). Solve y(g) = 0 for g.
-1, 0, 1
Let s(v) be the second derivative of -v**5/4 - 9*v**4/8 + v**3 + 3*v**2/2 + 2*v. Let r(n) be the first derivative of s(n). Factor r(l).
-3*(l + 2)*(5*l - 1)
Let g(l) be the first derivative of 5*l**2/2 + 4*l + 3. Let c be g(3). Factor -4 - x + c*x**2 + 4 - 20*x**2.
-x*(x + 1)
Let i(p) be the second derivative of p**4/4 + p**3/2 - 6*p. What is k in i(k) = 0?
-1, 0
Let y be 13/8 - (0 + 0). Let p = 133/72 - y. Determine n, given that 10/9*n**3 - p*n - 2/3*n**4 - 8/9*n**5 + 2/3*n**2 + 0 = 0.
-1, 0, 1/4, 1
Let f be (-32)/20 - (-2)/(-5). Let z = 4 + f. Find x such that 4*x**4 - x**5 + z*x**4 - 3*x**3 + x**2 - 3*x**4 = 0.
0, 1
Let m(v) = 4*v**4 + 7*v**3 + 17*v**2 - v - 5. Let n(b) = -2*b**4 - 3*b**3 - 9*b**2 + b + 3. Let c(g) = -3*m(g) - 5*n(g). Factor c(y).
-2*y*(y + 1)**3
Let v be (12/(-9) + 1)*-18. Let f(m) be the third derivative of 1/12*m**4 - 1/30*m**5 + 0 + m**2 + 1/3*m**3 + 0*m - 1/60*m**v. Factor f(s).
-2*(s - 1)*(s + 1)**2
Factor -15 + 41*h - 25*h**2 + 22*h + 17*h.
-5*(h - 3)*(5*h - 1)
Let f(z) = z**2 - 9*z + 14. Let n be f(7). Let s(y) be the third derivative of n*y**3 + 0 + 0*y + 1/60*y**5 - 1/24*y**4 + y**2. Determine k so that s(k) = 0.
0, 1
Let -1/8*i**2 + 1/8*i**3 - 1/8*i + 1/8*i**4 + 0 = 0. Calculate i.
-1, 0, 1
Let u(v) be the first derivative of -3*v**5/20 - v**4/4 - 8*v + 9. Let r(t) be the first derivative of u(t). Determine k, given that r(k) = 0.
-1, 0
Let w be 2 - (3 + -1 + -2). Factor 0*y**5 - 2*y**5 - 6*y**3 + 4*y**w - 6*y**2 - 6*y**4.
-2*y**2*(y + 1)**3
Let s(u) be the second derivative of 3*u**6/5 + 21*u**5/10 + 8*u**4/3 + 4*u**3/3 - 14*u. Factor s(q).
2*q*(q + 1)*(3*q + 2)**2
Let k be (-1)/(-8)*(-336)/(-36). Let p = -23/30 + k. Factor -8/5 - p*z**3 + 6/5*z**2 + 0*z.
-2*(z - 2)**2*(z + 1)/5
Let 3*o**2 + 5*o**2 + 2*o**2 - 6*o**2 = 0. Calculate o.
0
What is m in -2/5*m - 6/5 + 2/5*m**3 + 6/5*m**2 = 0?
-3, -1, 1
Let m(p) = p**3 + 7*p**2 - 2*p - 10. Let o be m(-7). Factor -o*x**4 + 6*x**3 + x**5 - 6*x**3 + 6*x**3 + x - 4*x**2.
x*(x - 1)**4
Let w(k) be the third derivative of k**7/945 + k**6/108 + 7*k**5/270 + k**4/36 - 19*k**2. Factor w(u).
2*u*(u + 1)**2*(u + 3)/9
Let y(q) be the third derivative of -1/24*q**8 - 2*q**2 + 0*q**3 + 0*q**5 + 0 + 0*q + 0*q**4 - 1/60*q**6 + 11/210*q**7. Determine a, given that y(a) = 0.
0, 2/7, 1/2
Let p(t) be the first derivative of -7*t**5/10 - 41*t**4/4 - 52*t**3 - 88*t**2 + 64*t - 8. Factor p(o).
-(o + 4)**3*(7*o - 2)/2
Let x = -235 - -239. Factor 1/2*t**x + 1/2 + 3*t**2 - 2*t**3 - 2*t.
(t - 1)**4/2
Let w = -147 - -148. Let g(c) be the first derivative of -8/5*c + w - 14/15*c**3 + 16/5*c**2. Factor g(r).
-2*(r - 2)*(7*r - 2)/5
Let v = -16 + 20. Let t(s) be the second derivative of 1/5*s**v - 4/15*s**3 + 1/5*s**2 + 0 + 1/75*s**6 + s - 2/25*s**5. Let t(q) = 0. What is q?
1
Let g(m) = -m**2 - m. Let d(r) = 6*r**2 + 6*r. Let t(z) = 2*d(z) + 10*g(z). Factor t(o).
2*o*(o + 1)
Suppose 4*d = -0*d + 8. Let k be (-2)/(-4) + 5/d. Factor 1 + 5*r**2 + 3*r - 2*r - r**k - 3*r**2 - 3.
-(r - 2)*(r - 1)*(r + 1)
Let i(h) = 24*h + 264. Let b be i(-11). Let -4/9*c**2 + b + 2/9*c**3 + 2/9*c**4 + 0*c = 0. What is c?
-2, 0, 1
Let r(j) be the first derivative of 2*j**6/15 - j**5/4 - j**4/4 + 5*j**3/6 - j**2/2 + 3*j - 4. Let t(a) be the first derivative of r(a). Solve t(q) = 0.
-1, 1/4, 1
Let s be 6/(-81) - 688/(-540). Suppose 1/5*d**2 - s*d + 9/5 = 0. What is d?
3
Let h(o) be the third derivative of 0 - 1/40*o**6 + 4*o**2 + 1/8*o**4 + 0*o**5 + 0*o**3 + 0*o. Find v such that h(v) = 0.
-1, 0, 1
Let j be (-4 - -8) + -1*2. Let h(m) = m**2 + 2. Let n be h(0). Factor t**n + 2*t**3 + t**4 + 2*t**2 - 2*t**j.
t**2*(t + 1)**2
Let r(j) be the second derivative of j**7/189 + 2*j**6/135 + j**5/90 + 9*j. Solve r(k) = 0 for k.
-1, 0
Suppose -x - 60 = -4*t + 4*x, 3*t = -2*x + 22. Determine z so that -t*z**4 + 8*z**5 - z**4 + z**4 + 2*z**3 = 0.
0, 1/4, 1
Let c(z) be the third derivative of -z**5/270 - 7*z**4/54 - 49*z**3/27 - 2*z**2 + 32. Factor c(o).
-2*(o + 7)**2/9
Let r(h) be the third derivative of -4*h**7/105 + 11*h**6/60 - h**5/6 - h**4/6 + 10*h**2. Factor r(p).
-2*p*(p - 2)*(p - 1)*(4*p + 1)
Factor 3*o + 9*o - 2*o**2 + 4*o.
-2*o*(o - 8)
Factor -6*j**2 + 35*j**4 + 3*j**3 - 30*j**4 + 4*j**2.
j**2*(j + 1)*(5*j - 2)
Let v = 4 - 0. Suppose v*g = -4*k - 8, 0 = 4*k - 3*k - 2*g - 13. Solve 3*o - k*o**2 - 3*o**3 - 3*o**4 + 3*o**2 + 3*o**2 = 0 for o.
-1, 0, 1
Factor -4/5*j**3 + 4/5*j**2 + 8/5*j + 0.
-4*j*(j - 2)*(j + 1)/5
Let l = 16/11 + -828/55. Let n = 244/15 + l. Solve -2/3*k**2 - n + 8/3*k = 0.
2
Let k(t) = t**4 - 24*t**3 - 7*t**2 + 9*t + 9. Let l(s) = 6*s**3 + 2*s**2 - 2*s - 2. Let y(p) = 2*k(p) + 9*l(p). What is z in y(z) = 0?
-2, -1, 0
Let u = -201/130 + 24/13. Let k(r) be the third derivative of 9*r**3 + 0 - 9/4*r**4 - 1/60*r**6 + 3*r**2 + 0*r + u*r**5. Factor k(t).
-2*(t - 3)**3
Let i(g) be the first derivative of -3*g**4/4 - g**3 + 3*g**2/2 + 3*g + 6. Factor i(q).
-3*(q - 1)*(q + 1)**2
Let b(v) be the first derivative of -v**5/150 + v**3/15 - v**2/2 + 2. Let s(a) be the second derivative of b(a). Factor s(w).
-2*(w - 1)*(w + 1)/5
Let l(s) be the third derivative of -8*s**2 + 0 + 0*s + 1/15*s**5 + 1/3*s**4 - 2*s**3. Solve l(n) = 0.
-3, 1
Let n(j) be the second derivative of j**5/25 - j**4/15 - 4*j**3/15 - 3*j. Factor n(u).
4*u*(u - 2)*(u + 1)/5
Let r(s) = 38*s + 1 - 37*s**3 - 9 + 20*s**2 + 15*s**3 - 16*s**3. Let k(x) = -15*x**3 + 8*x**2 + 15*x - 3. Let y(b) = -12*k(b) + 5*r(b). Factor y(o).
-2*(o - 1)*(o + 1)*(5*o - 2)
Suppose 4*k - 3 - 17 = 0. Let n(j) be the first derivative of -j - 1 - 10/3*j**3 - j**k + 1/6*j**6 + 5/2*j**4 + 5/2*j**2. Factor n(y).
(y - 1)**5
Factor -13*o