rd derivative of 1/30*x**5 + 1/3*x**4 + 0*x - x**3 - 1/30*x**6 + 0 + 4*x**2. Factor l(u).
-2*(u - 1)**2*(2*u + 3)
Let t(j) be the third derivative of -5*j**2 + 0*j + 3/448*j**8 + 7/160*j**6 + 0*j**3 - 1/80*j**5 - 1/48*j**4 - 5/168*j**7 + 0. Factor t(x).
x*(x - 1)**3*(9*x + 2)/4
Factor -128/3 - 2/3*l**2 - 32/3*l.
-2*(l + 8)**2/3
Suppose p = -5*n + 65, 4*p = -4*n + 5*p + 43. Let m be 0 + -1 - (-13 + n). Determine i, given that 3/2*i**3 + m + 0*i + 3/4*i**2 = 0.
-1/2, 0
Suppose -3*v + 2*s = -2*v - 8, 4*s = -2*v - 8. Factor 2*d - v + 20*d**3 - 10*d**4 + 8*d + 3*d**5 - 20*d**2 - d**5.
2*(d - 1)**5
Let o = -35 - -37. Let q(r) be the first derivative of 54/7*r**3 + o + 8/7*r + 36/7*r**2. Determine t so that q(t) = 0.
-2/9
Let n(s) = -s**2 - 4*s - 3. Let a(t) = 6*t**2 - 9*t - 26. Let y(j) = j**2 - 2*j - 5. Let f(w) = -2*a(w) + 11*y(w). Let h(d) = -4*f(d) + 5*n(d). Factor h(m).
-(m + 1)*(m + 3)
Let y(t) = -t**3 - 10*t**2 + 11*t + 3. Let m be y(-11). Determine w, given that 3*w**2 - m*w**4 - 3*w + 6*w - 3*w = 0.
-1, 0, 1
Suppose -4*o + 30 = 3*h + 2*h, 8 = 4*h. Determine x so that -2 - x + 2 - o*x - 3*x**2 = 0.
-2, 0
Let d(u) be the first derivative of 5*u**3/3 - 5*u**2/2 - 30*u + 17. Find q, given that d(q) = 0.
-2, 3
Let h(g) be the first derivative of -g**6/105 - g**5/35 + g**4/42 + 2*g**3/21 - 4*g + 3. Let r(k) be the first derivative of h(k). Determine q so that r(q) = 0.
-2, -1, 0, 1
Let t(o) be the first derivative of o**7/105 - o**6/20 + o**5/30 + o**4/4 - 2*o**3/3 + o**2 - 4. Let d(i) be the second derivative of t(i). Factor d(l).
2*(l - 2)*(l - 1)**2*(l + 1)
Let z = -62989/1650 - -420/11. Let k(r) be the third derivative of -1/15*r**3 + r**2 + 0*r - z*r**5 + 1/30*r**4 + 0. Factor k(f).
-2*(f - 1)**2/5
Let m(r) = -r**2 - 5*r - 3. Let p be m(-3). Let l be (8/(-4))/((-161)/115). Factor -4/7 - 8/7*v**2 - l*v - 2/7*v**p.
-2*(v + 1)**2*(v + 2)/7
Let x(d) = -d**4 + 3*d**3 + d**2 - 3. Let p(u) = -4*u**2 - u**4 + 11 + 7*u**4 - 11*u**3 - 2*u**4. Let n(o) = -6*p(o) - 22*x(o). Factor n(i).
-2*i**2*(i - 1)*(i + 1)
Let x(n) be the first derivative of n**5/5 + n**4 + 5*n**3/3 + n**2 - 6. Determine d so that x(d) = 0.
-2, -1, 0
Let v(x) = 0*x + 6 + 2 + x. Let z be v(-5). Factor b**3 + 3*b - 2*b**5 + 3*b**z - 5*b.
-2*b*(b - 1)**2*(b + 1)**2
Let x(z) be the second derivative of -z**5/110 + z**4/22 - 2*z**3/33 - 5*z. Find l such that x(l) = 0.
0, 1, 2
Let g = 19 + -17. Factor 0 - 1/4*z**3 + 0*z + 1/4*z**g.
-z**2*(z - 1)/4
Let r be (6 - 9)/((-3)/2). Suppose -9*q**3 + 12*q**r - 12*q + q**3 + 5*q**3 = 0. What is q?
0, 2
Factor 1/5*q**2 + 4/5 - q.
(q - 4)*(q - 1)/5
Let l(r) be the third derivative of 11/30*r**6 - 3*r**2 + 0 + 1/21*r**7 + 5/3*r**4 + 0*r + 11/10*r**5 + 4/3*r**3. Factor l(u).
2*(u + 1)**2*(u + 2)*(5*u + 2)
Let m be (-2)/(-4) - (-2)/4. Solve -5 - 33*r**3 + 9*r**4 - m - 3*r + 28*r**2 + 5*r**2 = 0.
-1/3, 1, 2
Let k(n) = -n**2 + 7*n + 1. Let f be k(7). Let w be 1 - 1 - f*-2. Factor -2*c**4 + c**5 - w*c**2 - c + 0*c**5 + 4*c**4.
c*(c - 1)*(c + 1)**3
Let j be (-936)/10*4/(-6). Let i = -62 + j. Let 0 + 4/5*p + i*p**2 = 0. Calculate p.
-2, 0
Let v(b) be the first derivative of -b**6/57 - 4*b**5/95 + 4*b**3/57 + b**2/19 + 3. Determine k, given that v(k) = 0.
-1, 0, 1
Let s(z) be the third derivative of z**10/75600 - z**8/10080 - z**5/30 + 3*z**2. Let c(p) be the third derivative of s(p). Factor c(w).
2*w**2*(w - 1)*(w + 1)
Suppose 5*x = -4*m + 8, 3*x = -0*m - 4*m + 8. Determine u so that 12 + u**m - 12 = 0.
0
Let z(p) be the first derivative of p**6/900 - p**5/150 + p**4/60 + 8*p**3/3 - 1. Let i(y) be the third derivative of z(y). Factor i(l).
2*(l - 1)**2/5
Let m = 26 + -23. Let v(c) be the first derivative of 1/6*c**m - 1/2*c + 0*c**2 - 1. Determine u so that v(u) = 0.
-1, 1
Let k be 3*8/24*0. Suppose k - 1/5*a**2 + 0*a = 0. Calculate a.
0
Let x(g) be the first derivative of g**9/4536 + g**8/1260 - g**6/270 - g**5/180 + g**3 + 3. Let c(v) be the third derivative of x(v). Factor c(y).
2*y*(y - 1)*(y + 1)**3/3
Suppose -5*n = 3*s - 23, -4*n = -7*n - 3*s + 15. Factor -2*u**2 - 9*u**n + 0 - 1 + 1 + 11*u**3.
-u**2*(u - 1)*(9*u - 2)
Let n(b) = b**3 + 3*b**2 - 6*b - 6. Let i be n(-4). Factor -7*f**2 - 4*f + 7*f - f**2 + 3*f**3 + 2*f**i.
3*f*(f - 1)**2
Factor -6*r**3 - 124*r + 130*r + r**4 + 3*r**2 - 4*r**4.
-3*r*(r - 1)*(r + 1)*(r + 2)
Let v(o) be the second derivative of -5/4*o**4 + 4/3*o**3 + 2*o**2 + 7/30*o**6 - 7/20*o**5 + 1/14*o**7 + 0 - 4*o. Suppose v(f) = 0. Calculate f.
-2, -1/3, 1
Factor 1/2*i**3 + 0*i**4 - 1/3*i**2 - 1/6*i**5 + 0 + 0*i.
-i**2*(i - 1)**2*(i + 2)/6
Let u(r) be the third derivative of -r**5/105 - 4*r**4/21 - 32*r**3/21 + 11*r**2. Factor u(y).
-4*(y + 4)**2/7
Let a(t) = -t**4 - t**3 - t - 1. Let o(s) = s**4 + 3*s**2 + 6*s - 2. Suppose -4*k + 0 = 8. Let q(b) = k*a(b) - o(b). Determine w so that q(w) = 0.
-2, 1
Let c = -1 + -6. Let b = 3 - c. Let -b*t**3 + 10*t - 4*t**2 - 1 + 0*t**2 + 5 = 0. What is t?
-1, -2/5, 1
Let i(s) = -36*s**2 - 42*s - 3. Let t(c) = 35*c**2 + 41*c + 4. Let u(j) = 2*i(j) + 3*t(j). Factor u(d).
3*(d + 1)*(11*d + 2)
Solve -13/2*n**2 - 13/2*n - 3/2 - 3/2*n**3 = 0 for n.
-3, -1, -1/3
Solve 0 + 2/3*l**4 + 0*l + 0*l**3 - 2/3*l**2 = 0 for l.
-1, 0, 1
Factor 2 - v - 4*v**2 + 7 + 3 - v.
-2*(v + 2)*(2*v - 3)
Factor -2/17*t + 0 + 2/17*t**2.
2*t*(t - 1)/17
Let p be (-25)/(-32) + 2 + -3. Let f = 561/224 + p. Factor f*r - 10/7*r**2 - 8/7 + 2/7*r**3.
2*(r - 2)**2*(r - 1)/7
Let g = -22750/31 - -734. Let a = g + 96/217. Suppose -2/7*u**2 - a*u - 2/7 = 0. Calculate u.
-1
Let u be -3 - 62/(-18) - 2/(-9). Solve -2*h + u - 2/3*h**3 + 2*h**2 = 0.
1
Let w = -7/15 + 4/5. Factor 1/3*o**4 - 1/3*o + 0 - 1/3*o**2 + w*o**3.
o*(o - 1)*(o + 1)**2/3
Let x = -4 - -15. Solve -2*n**2 + x*n**4 + 6*n - 2 - 8*n**3 + 2*n**3 - 7*n**4 = 0.
-1, 1/2, 1
Let j = -11 - -19. What is l in l - 15*l**5 - 3*l**3 - 2*l**2 + j*l**2 - 24*l**4 - l = 0?
-1, 0, 2/5
Let y = 26 + -20. Suppose 0 = 3*v - 0*v - y. Determine u, given that 8/9*u**5 - 14/9*u**v - 26/9*u**4 + 0 + 2/9*u + 10/3*u**3 = 0.
0, 1/4, 1
Let m(k) = -2*k**4 + 6*k**3 + 10*k**2 - 18*k + 8. Let l(a) = a**2 + a - 1. Let w(b) = 4*l(b) - m(b). Find r, given that w(r) = 0.
-2, 1, 3
Let p be (-1 - -4)*4/6. Find n, given that -6*n**4 + 4*n**2 + n**5 + n**5 + n + p*n**4 - 3*n = 0.
-1, 0, 1
Let d(q) = -q**4 - q. Let t(r) be the second derivative of 17*r**6/30 + 4*r**5/5 + r**4/3 + r**3/3 + 3*r. Let l(o) = -2*d(o) - t(o). Factor l(j).
-j**2*(3*j + 2)*(5*j + 2)
Let y = 22 + -23. Let x be -4 - y - 42/(-12). Factor -1/2*a**5 - x*a - a**2 + 1/2*a**4 + a**3 + 1/2.
-(a - 1)**3*(a + 1)**2/2
Suppose 27*j - 31*j = -8. Factor 50/7*b**j + 2/7*b**5 + 2*b**4 + 32/7*b + 38/7*b**3 + 8/7.
2*(b + 1)**3*(b + 2)**2/7
Factor 8/11*s - 1/11*s**2 - 16/11.
-(s - 4)**2/11
Suppose -4*v - v + 45 = 0. Let t be 3/v - (-3)/(-9). Find g such that -1/2*g**2 + t - 1/4*g**3 - 1/4*g = 0.
-1, 0
What is v in v**5 - 3*v**4 - 8*v**3 - v**4 + 3*v**5 = 0?
-1, 0, 2
Let t(k) = k**2 - 3*k - 2. Let d be t(4). Factor 4 - 4*s + 3*s - 3*s + 4*s**d - 4*s.
4*(s - 1)**2
Let t(z) be the second derivative of 1/6*z**3 + 1/48*z**4 + 0 + 2*z - 1/120*z**5 - 1/2*z**2. Let q(u) be the first derivative of t(u). Factor q(m).
-(m - 2)*(m + 1)/2
Suppose 8*b - 21 = b. Let z(j) be the first derivative of 2/35*j**5 - 1/7*j**4 - 4/21*j**b + 1/7*j**2 + 2/7*j - 1 + 1/21*j**6. Determine o so that z(o) = 0.
-1, 1
Let h(l) = -7*l**4 - 73*l**3 - 71*l**2 - 41*l. Let j(s) = -2*s**4 - 18*s**3 - 18*s**2 - 10*s. Let a(i) = 2*h(i) - 9*j(i). Factor a(z).
4*z*(z + 1)**2*(z + 2)
Let c(u) be the second derivative of -u**4/28 + u**3/7 - 3*u**2/14 + 6*u. Suppose c(y) = 0. What is y?
1
Let z(b) = b**3 + 4*b**2 - 7*b - 5. Let y be z(-5). Find a, given that -2*a + 0*a + 0 + 6*a**2 + 1 - y*a**2 = 0.
1
Let b(u) = 34*u**3 - 6*u**2 - 18*u + 22. Let d(v) = -11*v**3 + 2*v**2 + 6*v - 7. Let h be (0 - 0) + 0 + 16. Let p(f) = h*d(f) + 5*b(f). Factor p(a).
-2*(a - 1)*(a + 1)*(3*a - 1)
Let f = 12 + -18. Let v = -2 - f. Factor -2/3*y**3 + 0*y**2 - 10/3*y**v + 0 + 0*y - 8/3*y**5.
-2*y**3*(y + 1)*(4*y + 1)/3
Solve 6*g + 9 - 34 + 10*g - g**2 - 39 = 0.
8
Let b(y) be the first derivative of -y**5/10 - y**4/2 - 7. Factor b(z).
-z**3*(z + 4)/2
Let t = -21 - -36. Let u be (-42)/(-45) - 9/t. Find w, given that u*w**3 + 0*w + 1/3*