*2 + 3*s. Let a(v) be the first derivative of b(v). Determine u, given that a(u) = 0.
-1
Let q(l) be the second derivative of l**5/20 - 5*l**4/12 + l**3 + 39*l. Solve q(f) = 0.
0, 2, 3
Let s(a) be the first derivative of 2*a**5/5 + 3*a**4 + 26*a**3/3 + 12*a**2 + 8*a + 6. Suppose s(t) = 0. What is t?
-2, -1
Suppose v = -0*v + 4. Find c such that 2*c**4 + c - v*c**3 + 15 + 3*c - 17 = 0.
-1, 1
Let l(w) be the third derivative of w**6/1260 + w**5/210 + 2*w**3/3 + 4*w**2. Let k(o) be the first derivative of l(o). Factor k(d).
2*d*(d + 2)/7
Let o be -3*(2/3)/(-2). Let a(j) = 3*j**3 - j**2 - j + 1. Let k be a(o). Factor -d**k + d**3 - 1/2 + 1/2*d**5 + 3/2*d**4 - 3/2*d.
(d - 1)*(d + 1)**4/2
Factor -1/4*q**2 - 1/2 + 3/4*q.
-(q - 2)*(q - 1)/4
Let q(w) = 7*w**2 + 14*w + 27. Let y(g) be the third derivative of g**5/3 + 43*g**4/24 + 27*g**3/2 - 4*g**2. Let m(p) = 11*q(p) - 4*y(p). Factor m(l).
-3*(l + 3)**2
Determine d so that d**2 + d + 8*d + d**3 + 2*d**2 - 9*d**2 = 0.
0, 3
Solve 6*a**2 + a + 6*a**2 - 11*a**2 - 2*a = 0.
0, 1
Let k(y) be the third derivative of y**7/210 + y**6/120 - y**5/60 - y**4/24 + 2*y**2. Suppose k(f) = 0. Calculate f.
-1, 0, 1
Suppose 5*v = 13 + 2. Suppose -v*d + 4*h + 9 + 11 = 0, -2*d + h + 5 = 0. Factor -2/3*m**4 + 2*m**2 + 4/3*m + d + 0*m**3.
-2*m*(m - 2)*(m + 1)**2/3
Let d(x) be the second derivative of -x**5/300 + x**3/30 - 2*x**2 - 2*x. Let r(f) be the first derivative of d(f). Let r(k) = 0. What is k?
-1, 1
Let f be (-936)/273 + 2 + -1 + 3. Determine q so that 2/7*q**2 + 2/7*q**4 + 0*q + 0 - f*q**3 = 0.
0, 1
Let x(d) = -17*d**2 - 25*d + 73. Let f(g) = -8*g**2 - 12*g + 36. Let y(s) = -9*f(s) + 4*x(s). Factor y(n).
4*(n - 2)*(n + 4)
Let y be 1*-2 - (-6 - -3). Let a be (-1*y)/(4/(-8)). Factor 2*p**a + 6*p**4 + 2*p**5 + 4*p**3 + 6*p**3 - 4*p**3.
2*p**2*(p + 1)**3
Suppose -45 = -2*i - 5*x, 0 = -i - 5*x + 20. Factor -2*p**3 - i + 2*p**2 + 2*p**5 - 2*p**4 + 25.
2*p**2*(p - 1)**2*(p + 1)
Suppose 2*y - 4 = -0*y. Factor 4*n**2 + n**y - 3*n**2 - 1 - 3*n**2 - 2*n.
-(n + 1)**2
Let m(n) = n**3 - 4*n**2 + 4. Let q be m(4). Let g(w) = -3*w**4 - 3*w**3 - 3*w**2 - w. Let v(f) = f**4. Let y(d) = q*v(d) + 2*g(d). Find a such that y(a) = 0.
-1, 0
Let r(v) be the first derivative of -9*v**5/100 - 7*v**4/60 + v**3/15 - 3*v + 4. Let y(g) be the first derivative of r(g). Solve y(t) = 0 for t.
-1, 0, 2/9
Suppose 0 = -4*p + 8*p. Let j(i) be the second derivative of -3/10*i**5 - 1/21*i**7 + 1/6*i**4 + 0*i**3 - 3*i + 1/5*i**6 + p*i**2 + 0. What is t in j(t) = 0?
0, 1
Let h(z) be the third derivative of -z**5/60 + z**4/12 + 8*z**2. Factor h(t).
-t*(t - 2)
Let a be (-40)/(-28) + 4/7. Let v(i) be the first derivative of i**a - i**3 + 1/3*i**4 - 2 - 1/3*i. Factor v(x).
(x - 1)**2*(4*x - 1)/3
Let v be ((-25)/(-15))/(48/(-18) + 3). Factor r - 4/5*r**3 + 2/5 + 2/5*r**2 - 1/5*r**v - 4/5*r**4.
-(r - 1)*(r + 1)**3*(r + 2)/5
Let y = 33 - 33. Let g(o) be the third derivative of -o**2 - 1/240*o**6 + 0*o - 1/420*o**7 + 0*o**3 + 1/48*o**4 + y + 1/120*o**5. What is k in g(k) = 0?
-1, 0, 1
Let z(q) = -q**4 + q**3 + q**2 + q + 2. Let d(u) = -u**4 + 4*u**4 - 4*u**3 + 2*u - 3*u**2 + 0*u**2 - 5*u - 7. Let l(n) = -2*d(n) - 7*z(n). Factor l(v).
v*(v - 1)*(v + 1)**2
Find a, given that 1/2*a + 1 + a**4 - a**3 - 2*a**2 + 1/2*a**5 = 0.
-2, -1, 1
Let f(o) be the third derivative of o**8/5040 - 2*o**7/315 + 4*o**6/45 - 7*o**5/60 + 9*o**2. Let y(d) be the third derivative of f(d). Factor y(n).
4*(n - 4)**2
Suppose -6*y + 8 = -2*y. Factor 0*j**5 - 4*j**4 + 30*j**2 - 30*j**2 - 2*j**5 - y*j**3.
-2*j**3*(j + 1)**2
Let f = -641/16115 - -1/293. Let y = 104/165 - f. Factor y*j - 2/3*j**2 + 0.
-2*j*(j - 1)/3
Let l(r) be the third derivative of r**5/60 + 13*r**4/12 + 169*r**3/6 + 11*r**2 + 2*r. Determine c, given that l(c) = 0.
-13
Let o(v) be the first derivative of -1/12*v**2 + 0*v + 2/15*v**5 - 1/6*v**3 + 0*v**4 + 2. Factor o(y).
y*(y - 1)*(2*y + 1)**2/6
Let b(d) = 11*d - 4. Let u be b(-5). Let k = 297/5 + u. Let 0*r**2 - 4/5*r + 4/5*r**3 + 2/5*r**4 - k = 0. Calculate r.
-1, 1
Let i(b) be the third derivative of -b**7/280 + b**6/120 - 7*b**3/6 - 4*b**2. Let p(c) be the first derivative of i(c). Let p(l) = 0. Calculate l.
0, 1
Let y(x) = x**2 + 6*x - 5. Let b be y(-7). Factor -20*t - 20*t + 35*t**b - 24*t + 8 + 55*t**2 + 162*t**3.
2*(t + 1)*(9*t - 2)**2
Factor -27/5*n**3 + 63/5*n**2 + 3/5*n**4 - 57/5*n + 18/5.
3*(n - 6)*(n - 1)**3/5
Let h(v) be the third derivative of 0*v + 1/195*v**5 + v**2 + 1/39*v**3 + 0 - 1/2184*v**8 - 1/455*v**7 + 1/52*v**4 - 1/390*v**6. Suppose h(z) = 0. What is z?
-1, 1
Let f(n) be the second derivative of 1/42*n**4 + 0*n**3 + 0 + 3*n + 1/70*n**5 + 0*n**2. What is z in f(z) = 0?
-1, 0
Let r(l) be the second derivative of -l**5/90 + l**4/54 + 2*l**3/27 + 29*l. What is x in r(x) = 0?
-1, 0, 2
Let w = -2 + 6. Determine y so that 7*y + 3*y**4 - 2 - 9*y**2 + 5*y**3 - 3*y**4 - y**w = 0.
1, 2
Let z(u) be the third derivative of u**7/280 - u**3/2 + 2*u**2. Let n(h) be the first derivative of z(h). Solve n(q) = 0 for q.
0
Let f(y) be the third derivative of 0 - 4*y**2 + 0*y**3 + 0*y + 0*y**4 + 1/60*y**5. Factor f(v).
v**2
Factor -1 + 1/2*q**4 + 5/2*q - 1/2*q**3 - 3/2*q**2.
(q - 1)**3*(q + 2)/2
Let m(d) = -11*d**3 - 36*d**2 - 67*d - 53. Let h(u) = 6*u**3 + 18*u**2 + 33*u + 27. Let j(v) = 5*h(v) + 3*m(v). Factor j(f).
-3*(f + 2)**3
Let r(f) be the second derivative of f**6/80 - 3*f**5/40 - 2*f**2 + 6*f. Let n(j) be the first derivative of r(j). Factor n(t).
3*t**2*(t - 3)/2
Let g(t) be the third derivative of t**7/14 + 3*t**6/40 - 3*t**5/5 + t**4/2 + 9*t**2. Solve g(s) = 0.
-2, 0, 2/5, 1
Let p(i) be the third derivative of -2*i**2 + 0*i - 1/315*i**7 + 0*i**3 + 1/90*i**6 + 0 - 1/90*i**5 + 0*i**4. Factor p(x).
-2*x**2*(x - 1)**2/3
Suppose 0 = 5*a + 4*n - 24, -2*a + 3*a - 8 = -4*n. Factor -5*c**2 + 1 + 4*c**a + 5/2*c**5 - 1/2*c - 2*c**3.
(c - 1)*(c + 1)**3*(5*c - 2)/2
Suppose 3 = 5*q - 12. Factor -14*s**q + 12*s**3 + 0*s**5 + s + s**5.
s*(s - 1)**2*(s + 1)**2
Let r(y) be the second derivative of y**5/240 - 3*y**2/2 - y. Let x(g) be the first derivative of r(g). Solve x(u) = 0.
0
Let u = 1011 - 1009. Find h such that 3*h**u - 6/5 + 9/5*h = 0.
-1, 2/5
Let t be 66/9 - (-7 - -14). Factor -z**4 + 4/3 + 1/6*z**5 + 11/6*z**3 - 2*z - t*z**2.
(z - 2)**3*(z - 1)*(z + 1)/6
Let m(u) = -u**3 - u**2 - 2*u. Let z(q) be the first derivative of 11/2*q**2 + 2 + q**4 + 0*q + 2*q**3. Let y(r) = -11*m(r) - 2*z(r). Factor y(g).
g**2*(3*g - 1)
Let c(s) be the third derivative of 0 + 0*s + 0*s**4 - 3*s**2 + 0*s**3 + 1/30*s**5. Let c(i) = 0. What is i?
0
Let m = 2/177 + 694/1239. Factor -2/7*r**5 + 6/7*r**3 + m*r + 2/7*r**4 + 0 - 10/7*r**2.
-2*r*(r - 1)**3*(r + 2)/7
Let u = -1 - -4. Factor -b**u + 132*b - 132*b.
-b**3
Factor 484/7 + 92/7*c**2 + 4/7*c**3 + 572/7*c.
4*(c + 1)*(c + 11)**2/7
Let a(f) be the second derivative of -f**3/6 + 9*f**2/2 + 2*f. Let g be a(4). Determine m, given that 2*m - 2*m**2 + g*m**4 - m**4 - 2*m**4 - 2*m**3 = 0.
-1, 0, 1
Let b(r) = 2*r**3 + 6*r**2 + 2*r**3 - 4 + 2 + 0. Let i(n) = -3*n**3 - 5*n**2 - n + 1. Let h = -3 + 1. Let c(j) = h*b(j) - 3*i(j). Factor c(s).
(s + 1)**3
Suppose -2*x + 20 = 3*x. Find k such that 3 - x*k - k**2 + 5*k - 3 = 0.
0, 1
Determine n, given that -n**3 - 2*n**2 + 3*n**3 - 4*n**3 = 0.
-1, 0
Let b(j) be the second derivative of -j**5/150 + j**4/90 + 4*j. Suppose b(m) = 0. What is m?
0, 1
Let z(j) be the third derivative of 0*j**4 + 1/480*j**5 - 1/1440*j**6 - 1/3*j**3 + 2*j**2 + 0 + 0*j. Let i(h) be the first derivative of z(h). Factor i(p).
-p*(p - 1)/4
Let l(u) be the third derivative of u**7/945 - u**6/540 - u**5/9 - 19*u**4/27 - 56*u**3/27 + 44*u**2. Find m, given that l(m) = 0.
-2, 7
Solve -7/6*c - 4/3*c**4 + 1/3 + 1/2*c**5 + c**2 + 2/3*c**3 = 0 for c.
-1, 2/3, 1
Let q(v) be the first derivative of 18*v**5/25 + 6*v**4/5 - 22*v**3/15 + 2*v**2/5 + 11. Factor q(j).
2*j*(j + 2)*(3*j - 1)**2/5
Let s(i) = i - 4. Let j be s(8). Suppose r - 11 = -5*x, -j*r = -3*x - r + 21. Determine t, given that -10 - 3*t**4 - t**2 + 10 + t**5 + 0*t**5 + 3*t**x = 0.
0, 1
Let y be 1 + 2/(-6)*-3. Suppose 3*z - 4 = y*z. Solve -t**4 + 3*t**4 + 2 + 8*t + z*t**2 + 8*t**2 + 8*t**3 = 0.
-1
Let h(t) = -t - 1. Let f be h(-7). Let g(n) = -n**2. Let o(u) = u**2 - 5*u**2 + 8*u**2 + 8