1/3*u**4 + 0 + j*u**3 - 1/3*u = 0. What is u?
-1, 0, 1
Let a be (-81)/(-63) + (-4)/14. Suppose -p**4 + 2*p**4 + 2*p**3 + p - 3*p - a = 0. Calculate p.
-1, 1
Let o be -3 - (-87)/54*2. Factor 2/9*b**4 - 2/9*b**2 - 2/9*b + o*b**3 + 0.
2*b*(b - 1)*(b + 1)**2/9
Let c(w) be the first derivative of -w**4/66 + w**3/11 - w - 4. Let u(j) be the first derivative of c(j). Find k, given that u(k) = 0.
0, 3
Let t(v) = v**3 - 6*v**2 + 5*v + 4. Let z be t(5). Find w, given that 9*w - 168*w**2 - 14*w - 11*w - 381*w**4 - 305*w**z - 588*w**3 = 0.
-2/7, 0
Let c = 11404/15 - 760. Suppose -2/15*r**2 + 0 + c*r = 0. What is r?
0, 2
Let w(x) be the first derivative of 8/3*x + 4/3*x**2 + 2/9*x**3 + 2. Factor w(n).
2*(n + 2)**2/3
Let x(m) = -20*m**3 + 8*m**2 + 20*m. Let c(s) = -s**3 + s**2 + s + 1. Let z(d) = 4*c(d) - x(d). Find w, given that z(w) = 0.
-1, 1/4, 1
Let p be (-5)/(-2)*(-30)/(-25) + 1. Factor 0 + 2/3*n**3 - 2/3*n**p - 2/3*n + 2/3*n**2.
-2*n*(n - 1)**2*(n + 1)/3
Factor 2/7*m + 2/7 - 2/7*m**2 - 2/7*m**3.
-2*(m - 1)*(m + 1)**2/7
Suppose -15*o**2 + 115*o + 5 - 50 - 26 + 1 = 0. What is o?
2/3, 7
Let -2*j**2 + 4*j**3 - 8*j - 4 + 6*j**2 + 4*j = 0. Calculate j.
-1, 1
Suppose -5/4*z**4 - 3/4*z**3 + 0*z + 1/2*z**2 + 0 = 0. What is z?
-1, 0, 2/5
Let c(u) = 13*u**2 - 44*u - 12. Let i(z) = -12*z**2 + 44*z + 12. Let f(y) = -4*c(y) - 3*i(y). Factor f(r).
-4*(r - 3)*(4*r + 1)
Let i be (-6)/(4/4 - (-14)/(-8)). Suppose 8/3*c**3 - 4/3*c**2 + 2/3*c**4 + 6 - i*c = 0. What is c?
-3, 1
Let n(z) be the third derivative of z**8/28 - 2*z**7/15 + z**6/10 + z**5/5 - z**4/3 - 4*z**2. Factor n(s).
4*s*(s - 1)**3*(3*s + 2)
Suppose -20 = -r - 4*r. Let -41 + 41 + 4*c + r*c**2 = 0. What is c?
-1, 0
Suppose -18 = -0*t - 3*t. Suppose -5*i + 21 - t = 0. Factor 3*h**3 - 6*h**3 - h**i + 2*h**3 + 2*h**4.
2*h**3*(h - 1)
Let b(x) = -x**2 + x + 5. Let w be b(5). Let h be ((-18)/w)/(2/5). Factor 10*y + 6*y**2 - 2 + 1 + 2 + h.
2*(y + 1)*(3*y + 2)
Let l(x) be the second derivative of -x**7/35 - 2*x**6/75 + 9*x**5/50 + 2*x**4/5 + 4*x**3/15 + 3*x. Let l(k) = 0. What is k?
-1, -2/3, 0, 2
Suppose 5*v = -4*a - 140, -4*a - 3*v = -a + 102. Let t = 32 + a. Determine f so that -1/5*f + 1/5*f**t - 2/5 = 0.
-1, 2
Let g be 5/(-4) - 6/(-24)*7. Find a such that g*a + 1/2*a**3 + 0 - a**2 = 0.
0, 1
Let v(x) = -x**2. Let p(b) = -b - 15 + 2*b**2 + 7 + 8. Let h(a) = 2*p(a) + 3*v(a). Find d, given that h(d) = 0.
0, 2
Suppose 3*d - 9 = -3. Factor -t + 0*t + 0*t**d + 2 + t**2 - 2*t.
(t - 2)*(t - 1)
Let n = -7 + 11. Let b(t) be the second derivative of t + 0 + 0*t**2 - 1/80*t**5 + 1/48*t**n + 1/168*t**7 + 0*t**3 - 1/120*t**6. Factor b(x).
x**2*(x - 1)**2*(x + 1)/4
Let q(o) = 2*o**5 + 6*o**4 - 10*o**3 - 2*o**2 + 2*o. Let u(p) = p**5 + 5*p**4 - 9*p**3 - 3*p**2 + 3*p. Let w(c) = 3*q(c) - 2*u(c). Let w(s) = 0. Calculate s.
-3, 0, 1
Let r be (-2)/6 - 15/9. Let k be ((-4)/12)/(r/24). Determine x, given that 14/11*x**3 - 4/11*x + 0 - 6/11*x**2 - 10/11*x**5 + 6/11*x**k = 0.
-1, -2/5, 0, 1
Let w(t) be the second derivative of -1/12*t**4 + 1/4*t**2 + 0 + 1/60*t**6 - t + 0*t**3 + 0*t**5. Factor w(h).
(h - 1)**2*(h + 1)**2/2
Let f = -623/15 + 127/3. Factor 14/5*n**3 - f + 6/5*n + 24/5*n**2.
2*(n + 1)**2*(7*n - 2)/5
Let l(j) be the second derivative of -j**6/180 + j**5/30 - j**4/18 + 3*j**2/2 - 2*j. Let i(k) be the first derivative of l(k). Determine d, given that i(d) = 0.
0, 1, 2
Let y(k) be the second derivative of -1/6*k**4 + 1/3*k**3 - k + 0 + 0*k**2. Factor y(d).
-2*d*(d - 1)
Suppose -4*y = -0*y + 40. Let g be (-4)/y + 8/5. Factor g*x**3 - 13*x**4 + 5*x**5 + 11*x**5 + 5*x**5.
x**3*(3*x - 1)*(7*x - 2)
Let u(l) be the first derivative of 5*l**6/6 + 3*l**5/20 - 11*l**4/8 - l**3/4 + l**2/4 + 7. Determine z, given that u(z) = 0.
-1, -2/5, 0, 1/4, 1
Let v(n) be the third derivative of n**5/210 - n**4/14 + 8*n**3/21 + 17*n**2. Let v(i) = 0. Calculate i.
2, 4
Suppose 0 = -5*m + 3*o + 44, 0 = -2*m + o - 5*o + 2. Suppose -5*v = 2*n - 375, 57 = -3*v + 4*v + 4*n. Factor 3 + 32*y + 80*y**3 - 31*y**3 - m - v*y**2.
(y - 1)*(7*y - 2)**2
Let c(g) = g + 9. Let t be c(-6). Solve 2/5*r**t + 6/5*r + 6/5*r**2 + 2/5 = 0 for r.
-1
Suppose -3*z - 3*u = -3, -2*u - 5 = z + u. Determine t, given that 45*t**4 + z*t**5 - t**5 - 47*t**4 - t**5 = 0.
0, 1
Let l(q) be the second derivative of q**8/11760 + 2*q**7/2205 + q**6/315 - q**4/12 + 6*q. Let m(h) be the third derivative of l(h). Suppose m(j) = 0. What is j?
-2, 0
Let m(y) be the third derivative of -y**8/420 - y**7/105 + y**3/3 + 8*y**2. Let p(z) be the first derivative of m(z). Factor p(j).
-4*j**3*(j + 2)
Let f(l) be the third derivative of l**6/240 - l**5/120 - l**4/48 + l**3/12 - 23*l**2. Solve f(o) = 0.
-1, 1
Let x(z) be the first derivative of -4*z**3/3 + 20*z**2 - 100*z - 15. Find m, given that x(m) = 0.
5
Let n(u) be the third derivative of u**6/10 + u**5/5 + u**4/8 + 5*u**2. Factor n(l).
3*l*(2*l + 1)**2
Let z(w) be the third derivative of w**5/10 - w**4/6 - w**3/3 - 5*w**2. Factor z(b).
2*(b - 1)*(3*b + 1)
Let q be 4*1 + (-47 - -43). Solve 0*i + q*i**2 - 3/4*i**3 + 0 - 1/4*i**4 = 0.
-3, 0
Let l be (-40)/(-18) - (-6)/(-27). Suppose -3*o + 7 = -l. Factor -4*p**2 + 3*p**3 - 4*p**3 + 2*p**4 + 3*p**o.
2*p**2*(p - 1)*(p + 2)
Let o = 381 - 22859/60. Let i(w) be the third derivative of 0*w - o*w**5 + 1/3*w**3 + 1/24*w**4 - 3*w**2 + 0. Factor i(k).
-(k - 2)*(k + 1)
Let d(p) be the second derivative of p**4/36 + 7*p. Find o, given that d(o) = 0.
0
Let l be (-2)/(-1 - 5/(-15)). Let k(p) be the third derivative of 0 + 0*p - 1/600*p**6 - 1/300*p**5 + 1/30*p**l + 1/120*p**4 - 3*p**2. Factor k(q).
-(q - 1)*(q + 1)**2/5
Let t(w) = -w - 3. Suppose -2*d = -h + 3*h + 24, 15 = -5*h + 4*d. Let n be t(h). Factor 45*v**3 - 17*v**4 - 40*v**n - 6*v + v**2 + 21*v**5 - 4*v**2.
3*v*(v - 1)**3*(7*v + 2)
Let f(o) = -o**3 - 11*o**2 + 29*o - 27. Let l(n) = -6*n**3 - 56*n**2 + 146*n - 135. Let w(b) = 33*f(b) - 6*l(b). Factor w(y).
3*(y - 3)**3
Factor 0 + 2/3*h**2 - h**3 + 0*h.
-h**2*(3*h - 2)/3
Let w(u) = 2*u**3 - 3*u**2 + 5*u - 9. Let d(q) = q**3 - q**2 + 2*q - 5. Let t(y) = -10*d(y) + 6*w(y). Let t(o) = 0. Calculate o.
1, 2
Let d(j) be the second derivative of 10*j**7/21 - 7*j**6/6 - 3*j**5/2 + 35*j**4/12 + 5*j**3/3 + 22*j. Let d(r) = 0. Calculate r.
-1, -1/4, 0, 1, 2
Let g(j) be the third derivative of j**11/55440 + j**10/75600 - j**9/15120 + j**5/15 - 4*j**2. Let s(p) be the third derivative of g(p). Factor s(v).
2*v**3*(v + 1)*(3*v - 2)
Solve -1 - 1/4*o**3 + o**2 + 1/4*o = 0.
-1, 1, 4
Suppose -3/5 + 3/5*g - 3/5*g**3 + 3/5*g**2 = 0. Calculate g.
-1, 1
Let p(m) be the first derivative of -m**6/42 + 3*m**4/28 - 2*m**3/21 - 27. Let p(c) = 0. Calculate c.
-2, 0, 1
Let o(l) = l**2 + l + 1. Let j be o(-2). Factor 5*g + 2*g**5 - 4*g**j - g + 2*g - 4*g.
2*g*(g - 1)**2*(g + 1)**2
Let x(b) = -b**3 + 9*b**2 - 7*b - 6. Let h be x(8). Suppose 2*v - 5*j - 26 = -2*j, 4*v = -2*j + 36. Factor 6*i**3 + v*i**4 - 2*i**2 + i**h + 2*i**2 - 5*i**2.
2*i**2*(i + 1)*(5*i - 2)
Let l(a) be the third derivative of -1/540*a**6 + 4*a**2 + 0*a**4 + 0*a**5 + 0 + 0*a + 0*a**3 - 1/1512*a**8 - 2/945*a**7. Factor l(y).
-2*y**3*(y + 1)**2/9
Suppose -4*i - 5*x + 7 = -0, 0 = 4*i - 2*x - 14. Solve 16*d**5 + 4*d**3 - 8*d**4 - 16*d**i - 3*d**3 - d + 8*d**2 = 0.
-1, 0, 1/4, 1
Let r(t) be the first derivative of -t**5/5 - t**4/4 - 5. Factor r(f).
-f**3*(f + 1)
Solve -12/5 - 63/5*n**2 - 72/5*n + 147/5*n**3 = 0.
-2/7, 1
Let g(x) be the third derivative of 0*x**3 + 1/30*x**5 + 0 + 0*x - 3*x**2 - 1/6*x**4. Suppose g(h) = 0. What is h?
0, 2
Suppose -4 = -2*o - 5*k, -3*o = 9*k - 8*k - 6. Factor 8/11 + 26/11*d**o - 24/11*d - 12/11*d**3 + 2/11*d**4.
2*(d - 2)**2*(d - 1)**2/11
Let a(j) = -j**3 + 4*j**2 - j + 5. Let q be a(4). Suppose -u + q + 1 = 0. Factor 2/9*p**u - 2/9 + 0*p.
2*(p - 1)*(p + 1)/9
Factor 1 + 3*i**2 + 2*i + 3*i + 1 - i**3 - i**4.
-(i - 2)*(i + 1)**3
Let t be 2/(3 + 2 + -2). Let i = 159 - 157. Factor 0 + 4/3*r + t*r**i.
2*r*(r + 2)/3
Let y(l) be the third derivative of 0*l**3 + 0 + 0*l + 0*l**5 - 1/84*l**4 - l**2 + 1/210*l**6 + 0*l**7 - 1/1176*l**8. Factor y(j).
-2*j*(j - 1)**2*(j + 1)**2/7
Let m(y) be the first derivative of -5*y**4/4 + 10*y**3/3 - 5*y**2/2 - 16. Factor m(b).
-5*b*(b - 1)**2
Solve -3*c**5 - 5*c**4 + 9*c**4 + 0*c**5 - 10*c**4 - 3*c**3 = 0 for 