/24 - 2*r**3 - 3. Let o(g) be the third derivative of d(g). Factor o(u).
(u - 1)*(u + 1)*(u + 2)/2
Suppose 0 + 4 = -s, -3*s - 12 = -5*j. Determine g so that 2/3*g**2 - 4/3*g + j = 0.
0, 2
Let k(v) = 13*v**2 - 11*v - 11. Let h = -12 + 6. Let i(c) = 6*c**2 + 4*c**2 - 6 - 3*c**2 - 6*c. Let f(r) = h*k(r) + 11*i(r). Factor f(y).
-y**2
Let w be (-23)/92 - 1/(-4). Let o(t) be the first derivative of -t**2 - 4/5*t**5 + 4/3*t**3 - 3 + w*t + 0*t**4 + 1/3*t**6. Factor o(h).
2*h*(h - 1)**3*(h + 1)
Let i(v) be the third derivative of -4/3*v**3 + 9*v**2 + 0 + 0*v**4 + 0*v + 1/60*v**6 + 1/10*v**5. Factor i(o).
2*(o - 1)*(o + 2)**2
What is k in -10*k + 22*k**3 - 21*k - 35*k**2 + 39*k**2 - 16 + 12*k**4 + 7*k + 2*k**5 = 0?
-2, -1, 1
Factor -2 - 5*n**2 - 2*n - 1 + 8*n**2 - 2*n**2.
(n - 3)*(n + 1)
Let h(g) be the second derivative of -g**7/13860 - g**6/1980 + g**5/220 + g**4/3 - 3*g. Let p(s) be the third derivative of h(s). Factor p(b).
-2*(b - 1)*(b + 3)/11
Let c = -16 + 19. Let v be (7/c)/((-6)/(-54)). Solve -v*n - 147/2*n**2 - 3/2 = 0 for n.
-1/7
Let m be (0 - (0 - 4)) + -2. Factor -3*h - h**5 - 15*h**4 + 2*h + 2*h**3 + 1 - 2*h**m + 16*h**4.
-(h - 1)**3*(h + 1)**2
Suppose 0 = 3*i - 8 + 8. Factor 56/5*m**2 + 10*m**5 + 8/5*m + 138/5*m**3 + 28*m**4 + i.
2*m*(m + 1)**2*(5*m + 2)**2/5
Let v be 42/147 + -1 + 1. Factor 0*c + 0 + v*c**2.
2*c**2/7
Suppose 2611*l - 22 = 2600*l. Determine o, given that 0 + 0*o - 2/5*o**3 + 0*o**l = 0.
0
Let h(s) be the third derivative of 1/8*s**3 + 0*s + 1/80*s**5 + 0 + s**2 + 1/16*s**4. What is z in h(z) = 0?
-1
Let n(i) = 14*i**5 - 16*i**4 - 102*i**3 - 20*i**2 + 82*i + 24. Let w(b) = b**4 + b**2 + b. Let a(o) = -n(o) - 6*w(o). Find l, given that a(l) = 0.
-2, -1, -2/7, 1, 3
Let r(n) = -n - 1. Let j(q) = q**2 + 4*q + 3. Let i(h) = j(h) + 4*r(h). Let l be i(-2). Factor 1/2*b**4 + 3/2*b**2 + 0 - 1/2*b - 3/2*b**l.
b*(b - 1)**3/2
Suppose 0*s = -3*s + 6. Let f(i) = i**3 - 5*i**2 - 5*i - 6. Let t be f(6). Suppose o + o**2 - 3*o**3 + s*o**3 + t*o**3 - 1 = 0. What is o?
-1, 1
Let m = 22 - 36. Let b = -124/9 - m. Solve b + 2/9*f**2 - 4/9*f = 0 for f.
1
Let x = -93 - -95. Let a(b) be the first derivative of 2*b - 1/3*b**3 - 1/2*b**x - 1. Determine o so that a(o) = 0.
-2, 1
Let x(q) be the first derivative of -1/2*q**4 + 0*q + 1/10*q**5 - 3 + 5/6*q**3 - 1/2*q**2. Factor x(b).
b*(b - 2)*(b - 1)**2/2
Let m(k) be the third derivative of -6*k**2 + 1/3*k**4 - 2*k**3 + 1/15*k**5 + 0*k + 0. Factor m(r).
4*(r - 1)*(r + 3)
Let j(n) = 95*n**4 + 60*n**3 - 95*n**2 - 60*n + 35. Let i(c) = 8*c**4 + 5*c**3 - 8*c**2 - 5*c + 3. Let y(g) = 35*i(g) - 3*j(g). Let y(v) = 0. What is v?
-1, 0, 1
Suppose 2*n + 2*n - 28 = 4*f, -17 = 4*n + 5*f. Let l = 0 - -2. Factor 6*z**4 + z**n - l*z**3 + 0*z**4 - 5*z**2.
2*z**2*(z - 1)*(3*z + 2)
Let w(o) be the third derivative of -o**7/315 + o**6/180 + o**5/90 - o**4/36 - 8*o**2. Factor w(s).
-2*s*(s - 1)**2*(s + 1)/3
Let u(z) be the second derivative of -3*z**7/14 + z**6 - 21*z**5/20 - z**4 + 2*z**3 - 9*z. Let u(o) = 0. What is o?
-2/3, 0, 1, 2
Let v = 157 - 155. Factor -3*t**v + 3/2*t**3 + 0 + 3/2*t.
3*t*(t - 1)**2/2
Let k be 476/(-245) + (1 - -1). Let n = k - -12/35. Factor -n*d**2 + 2/5 + 2/5*d**3 - 2/5*d.
2*(d - 1)**2*(d + 1)/5
Factor -13*s + 10*s**2 + 19*s + 19*s - 15.
5*(s + 3)*(2*s - 1)
Let g be ((-1)/(-2))/((-5)/(-60)). What is j in -12*j**3 - 12*j**4 - 5 + 6*j**2 + 11 + 15*j - g*j**5 + 3*j**5 = 0?
-2, -1, 1
Let j(z) be the first derivative of 3/4*z**4 - 6/5*z + 5 - 3/2*z**2 + 9/5*z**3 - 21/25*z**5. Solve j(h) = 0 for h.
-1, -2/7, 1
Let x(c) = -3*c**4 - 29*c**3 - 13*c**2 + 29*c + 21. Let v(p) = -2*p**4 - 14*p**3 - 6*p**2 + 14*p + 10. Let n(f) = 5*v(f) - 2*x(f). Factor n(o).
-4*(o - 1)*(o + 1)**2*(o + 2)
Determine x so that -1/6*x**3 - 2/3*x**2 - 2/3*x + 0 = 0.
-2, 0
Let g be (-6)/10 - 78/(-90). Let f(v) be the second derivative of 0*v**3 - v + 1/2*v**5 + 0*v**2 - g*v**6 - 1/3*v**4 + 1/21*v**7 + 0. Let f(h) = 0. What is h?
0, 1, 2
Let c = 3/34 - -7/17. Let x(h) be the first derivative of -c*h**4 + 0*h**2 + 0*h - 1 - 2/3*h**3. Let x(z) = 0. What is z?
-1, 0
Factor 42*b - 180 + 40*b - 14*b**2 - 22*b + 9*b**2.
-5*(b - 6)**2
Let u be (2 + 0)/((-6)/(-39)). Factor 3*x**3 + 3*x**4 + u*x + x**5 + x**2 - 13*x.
x**2*(x + 1)**3
Let u(c) = 17*c**4 - 13*c**3 - 3*c**2 + 13*c. Let y(t) = 9*t**4 - 6*t**3 - t**2 + 6*t. Let l(a) = 4*u(a) - 7*y(a). Find s, given that l(s) = 0.
-1, 0, 1, 2
Let p(r) = 7*r**3 + 3*r**2 + 13*r - 5. Let h(d) = -4*d**3 - d**2 - 7*d + 3. Let g(j) = -10*h(j) - 6*p(j). Factor g(f).
-2*f*(f + 2)**2
Let o(f) = 7*f**2 + 8*f - 3. Let i(n) = 76*n**2 + 88*n - 32. Let h(s) = -3*i(s) + 32*o(s). Factor h(p).
-4*p*(p + 2)
Let s(f) = -3 + 2*f + 2*f - f**3 + 0*f. Let d(w) = -2*w + 3*w - 1 + 0. Let i(u) = -3*d(u) + s(u). Solve i(k) = 0.
-1, 0, 1
Let p(z) be the first derivative of -z**7/126 + 2*z**6/45 - z**5/10 + z**4/9 - z**3/18 - z + 2. Let s(x) be the first derivative of p(x). Factor s(k).
-k*(k - 1)**4/3
Suppose -4 = -0*h - h, 2*h - 8 = -2*d. Determine v, given that 1/2*v**3 + 3/2*v**4 - 2*v**5 + d*v + 0 + 0*v**2 = 0.
-1/4, 0, 1
Let v be 9*(-4 - 106/(-24)). What is p in 3*p**2 + 3/4*p**3 + v*p + 3/2 = 0?
-2, -1
Let v be (-14)/(-12) + 4/(-4). Let q(r) be the second derivative of -4/9*r**3 - 2*r + v*r**4 + 0 + 1/3*r**2. Determine o, given that q(o) = 0.
1/3, 1
Let p(d) = -d**3 - 19*d**2 - 15*d - 1. Let n(f) = 5*f**3 + 75*f**2 + 60*f + 5. Let v(o) = -4*n(o) - 15*p(o). Suppose v(a) = 0. Calculate a.
-1
Let i(k) be the first derivative of -7*k**4/18 + 2*k**3/9 + 2*k - 1. Let x(b) be the first derivative of i(b). Factor x(h).
-2*h*(7*h - 2)/3
Let i(l) be the second derivative of l**5/90 + l**4/18 - 4*l**2/9 - 5*l. Let i(g) = 0. What is g?
-2, 1
Let m(l) be the first derivative of -l**6/6 - l**5/5 + 3*l**4/4 + l**3/3 - l**2 + 17. Determine h, given that m(h) = 0.
-2, -1, 0, 1
Let p(y) be the third derivative of 0*y**3 + 0*y + 0 + 1/180*y**6 + 1/36*y**4 - 5*y**2 - 1/45*y**5. Factor p(n).
2*n*(n - 1)**2/3
Factor -384/11 - 6/11*m**2 - 96/11*m.
-6*(m + 8)**2/11
Let i = -20 + 4. Let m be i/(-24) - 8/(-6). Let 21*k**m - 18*k**2 - 5*k + 11*k + 3 = 0. Calculate k.
-1
Let f = -1034/7 + 148. Factor 0*t - f*t**3 + 0*t**2 + 0.
-2*t**3/7
Factor -1/2*t**2 - 1/2 - t.
-(t + 1)**2/2
Let n(p) be the third derivative of -11*p**7/105 - 3*p**6/5 - 7*p**5/5 - 5*p**4/3 - p**3 + 47*p**2. Factor n(z).
-2*(z + 1)**3*(11*z + 3)
Let r(g) be the first derivative of -g**4/2 + 3*g**2 - 4*g + 3. Factor r(v).
-2*(v - 1)**2*(v + 2)
Let d(t) be the second derivative of 2/3*t**2 - 1/30*t**5 + 0 - 1/9*t**4 + 1/9*t**3 + 3*t. Solve d(w) = 0.
-2, -1, 1
Let r(m) be the second derivative of -1/84*m**7 + 0*m**2 - 1/30*m**6 + 1/12*m**4 + 1/12*m**3 + 0*m**5 + 0 - 2*m. Factor r(o).
-o*(o - 1)*(o + 1)**3/2
Let v(y) = -2*y**5 + 4*y**4 - 6*y**3 + 2. Let i(f) = 3*f**4 + 9*f - 9*f + f**2 - 1 - 2*f**4. Let n(r) = -2*i(r) - v(r). Factor n(g).
2*g**2*(g - 1)**3
Determine s, given that 1/3*s + 1/3*s**2 + 0 = 0.
-1, 0
Let k = 1 + 2. Find l, given that -l**3 - k*l**2 - l**4 - l**2 + 3*l**2 - l**3 = 0.
-1, 0
Let u(d) be the second derivative of 0 + 0*d**2 + 1/12*d**4 - 1/40*d**5 + 0*d**3 + 2*d. Factor u(q).
-q**2*(q - 2)/2
Let l(f) be the first derivative of 3*f**5/10 - 3*f**3/2 + 3*f**2/2 - 19. Solve l(p) = 0.
-2, 0, 1
Let j(z) be the second derivative of -z**7/105 + z**6/15 - 7*z**5/50 - z**4/30 + 8*z**3/15 - 4*z**2/5 - 11*z. Find t, given that j(t) = 0.
-1, 1, 2
Suppose 0 = -14*m + 3*m. Factor 9/2*q + m - 3/2*q**2.
-3*q*(q - 3)/2
Let d(k) be the second derivative of k**7/105 - k**6/40 - k**5/20 + k**4/12 + k**2/2 - k. Let r(b) be the first derivative of d(b). Factor r(n).
n*(n - 2)*(n + 1)*(2*n - 1)
Let a(o) be the second derivative of -9*o**6/20 - 13*o**5/10 - 10*o**4/9 - 4*o**3/9 - 2*o**2 - 5*o. Let w(k) be the first derivative of a(k). Factor w(f).
-2*(f + 1)*(9*f + 2)**2/3
Let j(m) = m + 7. Suppose 2*x + 12 = -x. Let f be j(x). Determine v so that 1/2*v**f - v**2 - 1/2*v + 1 = 0.
-1, 1, 2
Let k(j) be the third derivative of 0*j + 7/72*j**4 - 1/9*j**3 - 7/360*j**6 - 5*j**2 + 1/90*j**5 + 0. Solve k(l) = 0 for l.
-1, 2/7, 1
Let c(y) be the first derivative of y**3 - 6*y**2 - 8. Factor c(l).
3*l*(l - 4)
Let m(d) be the first derivative of 3*d**4/8 + d**3/2 - 3*d**2/4 - 3*d/2 + 17. So