*y**a - 1/2 + 0*y = 0?
-1, 1
Let z(v) be the first derivative of 44/15*v**3 + 16/5*v + 1 - 28/5*v**2 - 1/2*v**4. Determine g, given that z(g) = 0.
2/5, 2
Determine d, given that 3993/7*d**4 - 9504/7*d**2 + 6480/7*d + 1452/7*d**3 - 1296/7 = 0.
-2, 6/11
Let d be 9 + -7 - (-1)/(80/(-158)). Let r(a) be the third derivative of 0 - d*a**4 - a**2 - 1/5*a**3 + 0*a + 1/100*a**5. Suppose r(h) = 0. Calculate h.
-1, 2
Let u(b) be the first derivative of b**3/27 + b**2/3 + 8*b/9 + 52. Solve u(l) = 0.
-4, -2
Find r such that -5*r**4 - 10*r - 1949 + 1949 + 15*r**2 = 0.
-2, 0, 1
Let b(j) be the third derivative of -j**7/49 - j**6/30 + 11*j**5/70 - 4*j**3/21 - 30*j**2. Find l such that b(l) = 0.
-2, -1/3, 2/5, 1
Determine q so that 1/2*q - 1/2*q**3 + 0*q**2 + 0 = 0.
-1, 0, 1
Let z(w) be the first derivative of -5*w**4/4 - 5*w**3/3 + 5*w**2/2 + 5*w + 14. Factor z(j).
-5*(j - 1)*(j + 1)**2
Determine y, given that -2/21*y**2 + 2/7*y + 0 = 0.
0, 3
Let 3*b**5 - 2*b**5 - 3*b**2 + 3*b**3 - b**2 - 4*b + 0*b**2 + 4*b**4 = 0. What is b?
-2, -1, 0, 1
Let r be (0 - -3)/(0 + 1). Let o = 44 + -128/3. Factor -o*c**r + 0*c - 10/3*c**5 + 14/3*c**4 + 0 + 0*c**2.
-2*c**3*(c - 1)*(5*c - 2)/3
Let g be ((2 - 0) + -4)*30/(-20). Let y(m) be the second derivative of -1/4*m**4 + 0 - 3/20*m**5 + 0*m**2 + 0*m**g - m. Find b, given that y(b) = 0.
-1, 0
Let i(k) be the second derivative of -k**6/360 - k**5/90 + 11*k**2/2 + 6*k. Let d(s) be the first derivative of i(s). Factor d(a).
-a**2*(a + 2)/3
Let t be 0 - (-2 + -2 + 1). Suppose 3*h**2 - 7*h**2 + 2*h**4 - h**2 + 3*h**2 - 2*h**t + 2*h**5 = 0. Calculate h.
-1, 0, 1
Let a(s) be the first derivative of -7*s**3/27 + 11*s**2/18 - 4*s/9 + 24. Factor a(z).
-(z - 1)*(7*z - 4)/9
Let i(o) = -2*o**2 + 76*o + 294. Let b(u) = u**2 - 51*u - 196. Let a(q) = -8*b(q) - 5*i(q). Let a(y) = 0. Calculate y.
-7
Let w(c) = -40*c**5 + 100*c**4 - 60*c**3 - 15*c - 15. Let r(b) = -10*b**5 + 25*b**4 - 15*b**3 - 4*b - 4. Let l(n) = 15*r(n) - 4*w(n). Find x such that l(x) = 0.
0, 1, 3/2
Let d be (-282)/(-1551) + 0 + 62/22. Factor -2/7*q**2 - 1/7*q**d + 0 - 1/7*q.
-q*(q + 1)**2/7
Let b(h) be the first derivative of -1 + 4/7*h**2 + 2/21*h**3 + 8/7*h. Determine w, given that b(w) = 0.
-2
Suppose -2*i = -t + 258, -2*t - 380 = 3*i - 0*t. Let n = -892/7 - i. Let -2/7*a**2 + 6/7*a - n = 0. What is a?
1, 2
Let x = -3 + 7/2. Factor 0 + x*g**2 + 1/2*g.
g*(g + 1)/2
Suppose z = -2*y + 3, 0 = -4*y - y - 3*z + 7. Solve 2/7*a - 2/7 + 4/7*a**y = 0.
-1, 1/2
Let m(o) = -o**3 + 6*o**2 + 7*o. Let d = 9 - 2. Let p be m(d). Factor 8/7*h**3 + 6/7*h**4 - 2/7*h**2 - 4/7*h + p.
2*h*(h + 1)**2*(3*h - 2)/7
Let r(u) be the third derivative of u**2 + 0*u - 1/60*u**5 + 0*u**3 - 1/48*u**4 + 0. Factor r(a).
-a*(2*a + 1)/2
Let x = -12 + 15. Factor 0*a - 34*a**2 - 3 + 37*a**2 + 6*a - 6*a**x.
-3*(a - 1)*(a + 1)*(2*a - 1)
Factor -2/11*n**2 - 12/11 + 14/11*n.
-2*(n - 6)*(n - 1)/11
Let l be (-9)/(-6)*(-8)/12. Let q be (l/(-8))/(8/16). Factor q*s**3 + 1/2 - 3/4*s + 0*s**2.
(s - 1)**2*(s + 2)/4
Let x(r) be the third derivative of 1/40*r**6 + 1/30*r**5 + 0 - 3*r**2 + 1/210*r**7 + 0*r**4 + 0*r**3 + 0*r. Factor x(v).
v**2*(v + 1)*(v + 2)
Suppose -250 = -j + 5*z, 302 = 2*j + 4*z - 226. Let i be 2/8 - (-39)/j. Factor 0 + 0*t + 0*t**2 - i*t**3 + 2/5*t**4.
2*t**3*(t - 1)/5
Let a(c) be the first derivative of -c**3/3 + 4*c**2 - 16*c + 4. Find j, given that a(j) = 0.
4
Determine k so that -2*k**2 - 4*k**3 - 29*k + k**3 - 3*k**4 + 5*k**2 + 32*k = 0.
-1, 0, 1
Let r(b) = 3*b**5 - 3*b**4 + 18*b**3 - 6*b**2 - 21*b - 15. Let k(n) = n**4 - n**3 + n + 1. Let t(h) = -12*k(h) - r(h). Suppose t(u) = 0. Calculate u.
-1, 1
Let h(m) be the second derivative of -m**7/147 + 4*m**6/105 - m**5/14 + m**4/21 - 12*m. Determine u so that h(u) = 0.
0, 1, 2
Let v(f) = -f + 7 + 2*f**3 - f**3 - 10*f**2 + 4*f**2. Let x be v(6). Let u - 1/4*u**2 - x = 0. What is u?
2
Let y(w) = 6*w**3 - 4*w**2 + 10*w. Let r(j) = 13*j**3 - 7*j**2 + 20*j + 1. Suppose 11*h = 10*h - 9. Let p(q) = h*y(q) + 4*r(q). Let p(a) = 0. What is a?
1, 2
Let g(u) be the first derivative of 2/35*u**5 + 1/21*u**6 - 1 + 0*u + 0*u**4 + 0*u**2 + 0*u**3. Solve g(t) = 0.
-1, 0
Let z(j) = -11*j**2 - 9*j - 2. Let u(s) = -2*s**2. Suppose v + 2 = -0*v. Let q(o) = v*z(o) + 4*u(o). Factor q(g).
2*(g + 1)*(7*g + 2)
Let w(s) be the first derivative of s**7/735 - s**5/105 + s**3/21 + s**2/2 - 2. Let d(c) be the second derivative of w(c). Factor d(i).
2*(i - 1)**2*(i + 1)**2/7
Let y = -86 - -432/5. Let r(g) be the first derivative of 2/5*g**3 - 4/25*g**5 + 2 + 1/5*g**2 - y*g - 1/10*g**4. Find k such that r(k) = 0.
-1, 1/2, 1
Let d be 1/(-2) + 4*(-30)/(-96). Solve -d*f**2 - f - 1/4 = 0 for f.
-1, -1/3
Factor -4/9*z + 2/9*z**4 - 2/3*z**3 + 0 - 10/9*z**2 + 2/9*z**5.
2*z*(z - 2)*(z + 1)**3/9
Factor -5*h - 7*h - 4*h**2 - 19 - 4*h + 3.
-4*(h + 2)**2
Let m(k) be the third derivative of k**6/360 + k**5/45 + k**4/24 - 16*k**2 + 2*k. Determine n so that m(n) = 0.
-3, -1, 0
Suppose 3*f + 4*w = 8, 3*w - 5 = -2*f - 0*w. Let j(t) = t**2 + t. Let l be j(-2). Factor -z**3 - 2 + z**2 + l + z - z**f.
-z*(z - 1)*(z + 1)**2
Suppose -18 = -u + 3*u. Let t(f) = f + 11. Let r be t(u). Suppose 0*s + 0*s**r + 0 + 1/3*s**3 - 1/3*s**4 = 0. What is s?
0, 1
Let a(r) be the first derivative of -9*r**4/4 + 58*r**3/5 - 78*r**2/5 - 24*r/5 + 22. Solve a(u) = 0 for u.
-2/15, 2
Suppose -3*p = -3 - 0. Suppose t - 1 = 3. Factor p - 3*g**3 - 3*g**t + 3*g + 3*g**4 + 4*g**4 - 5*g**2.
(g - 1)**2*(g + 1)*(4*g + 1)
Let g(h) be the third derivative of h**9/302400 + h**8/100800 - h**5/60 + h**2. Let u(a) be the third derivative of g(a). What is t in u(t) = 0?
-1, 0
Find b, given that 0 - 4*b**4 - 39/2*b**3 + 5/2*b**5 - 4*b - 17*b**2 = 0.
-1, -2/5, 0, 4
Suppose 4*z**3 - 12*z**2 + 4*z**4 - 66 + 128 - 20*z - 70 = 0. What is z?
-1, 2
Suppose -5*a - 2 - 10 = -3*o, 0 = -5*o + 20. What is z in 2/3*z - 4/3*z**2 + a + 2/3*z**3 = 0?
0, 1
Let q(m) be the third derivative of -2*m**2 + 0 + 0*m - 1/30*m**5 + 2/9*m**3 + 1/36*m**4. Factor q(w).
-2*(w - 1)*(3*w + 2)/3
Suppose -y - 4*y + 50 = 0. Suppose 10 = 5*s + 5*x, -s = 4*s - 3*x - y. Let -2/3*i**4 + 2/3*i**3 - 4/3 + 2*i**s - 2/3*i = 0. Calculate i.
-1, 1, 2
Let o(j) = 2*j**3 - 10*j - 4. Let v be o(6). Let a = v + -2572/7. Determine n so that 4/7*n**3 + 0*n**2 - 2/7*n**4 + 2/7 - a*n = 0.
-1, 1
Determine w, given that -4/7 + 6/7*w + 2*w**3 + 24/7*w**2 = 0.
-1, 2/7
Factor -16*t**4 + 31*t + 8 - 3*t**4 - 52*t**3 - t**4 - 36*t**2 - 27*t.
-4*(t + 1)**3*(5*t - 2)
Let y(i) = 7*i**3 + 5*i**2 - 2*i. Let g(m) = 8*m**3 + 5*m**2 - 3*m. Let a(q) = -4*g(q) + 5*y(q). Factor a(b).
b*(b + 1)*(3*b + 2)
Let r(c) be the second derivative of -1/4*c**2 + 0 - 4*c + 0*c**4 - 1/6*c**3 + 1/60*c**6 + 1/20*c**5. Solve r(s) = 0 for s.
-1, 1
Let q(j) be the first derivative of -2*j**5/15 + 5*j**4/9 + 2*j**3/3 - 4*j**2/9 + 8. Let q(z) = 0. What is z?
-1, 0, 1/3, 4
Let p(o) be the second derivative of -3*o + 0 - 1/60*o**5 + 0*o**2 + 0*o**3 + 0*o**4 - 2/45*o**6. Suppose p(q) = 0. Calculate q.
-1/4, 0
Let q(a) be the third derivative of 1/160*a**6 + 8*a**2 - 3/8*a**3 + 7/32*a**4 - 1/16*a**5 + 0*a + 0. Factor q(u).
3*(u - 3)*(u - 1)**2/4
Let 4/3*s + 0 + 2/3*s**2 = 0. Calculate s.
-2, 0
Let y(t) be the second derivative of -t**4/72 + t**3/18 + t**2/4 + 5*t. Factor y(w).
-(w - 3)*(w + 1)/6
Let u(c) be the third derivative of -c**6/660 - c**5/330 + 6*c**2. Factor u(d).
-2*d**2*(d + 1)/11
Factor 3*i - 15*i + 4*i**2 + 12 - i**2.
3*(i - 2)**2
Let a be ((-110)/495)/(2/(-4)). Factor -2/9*h**2 + 2/3*h - a.
-2*(h - 2)*(h - 1)/9
Let b(s) be the third derivative of -s**5/15 + s**4/6 + 4*s**3/3 - 5*s**2. Let b(d) = 0. Calculate d.
-1, 2
Let d(z) be the third derivative of -7*z**2 + 0*z**3 + 0*z + 0 + 0*z**4 - 1/40*z**6 - 1/10*z**5. Factor d(j).
-3*j**2*(j + 2)
Let l(z) be the second derivative of 1/12*z**4 - z**2 - 1/6*z**3 + 0 - 4*z. Factor l(k).
(k - 2)*(k + 1)
Let q(u) be the third derivative of -u**10/75600 + u**9/15120 - u**7/1260 + u**6/360 - u**5/30 + 3*u**2. Let s(m) be the third derivative of q(m). Factor s(k).
-2*(k - 1)**3*(k + 1)
Let u(s) be the first derivative of -s**4/4 - 8*s**3/3 - 8*s**2 - 1. Let u(v) = 0. What is v?
-4, 0
Let h(v) be the first derivative of -2/9*v**3 + 1/5*v**5 - 1/3*v + 1/6*v**4 - 1/2*v**2 - 3 + 1/18*v**6. Fi