5*i**2 + 0 = 0.
-2, 0
Let r(y) be the third derivative of -1/660*y**6 - 1/165*y**5 + 0 + 0*y**4 + 0*y**3 - y**2 + 0*y. Factor r(k).
-2*k**2*(k + 2)/11
Let b = -11 - -14. Let p(g) be the third derivative of 0*g**b + 0 + 0*g + g**2 + 1/20*g**6 - 1/105*g**7 - 1/10*g**5 + 1/12*g**4. Suppose p(z) = 0. Calculate z.
0, 1
Factor -20*o**3 - 32 - 8*o**4 + 27*o - 11*o + 30*o**2 - 6*o**2 + 12*o**4.
4*(o - 2)**3*(o + 1)
Let w(i) = 2*i**3 + 8*i**2 + 10*i + 9. Let h(l) be the first derivative of l**4/4 + 4*l**3/3 + 5*l**2/2 + 4*l + 3. Let d(y) = -5*h(y) + 2*w(y). Factor d(c).
-(c + 1)**2*(c + 2)
Let h(v) be the first derivative of 1/3*v - 3 - 1/9*v**3 + 0*v**2. Let h(n) = 0. Calculate n.
-1, 1
Let r(q) = -4*q**2 - 9*q + 6. Let d(k) = k**2 - k - 1. Let o(n) = 3*n**2 + n - 4. Let c(j) = 2*d(j) - o(j). Let l(p) = 14*c(p) - 4*r(p). Factor l(a).
2*(a - 2)*(a - 1)
Let y = 4 + -6. Let s be 1/(-2)*0 - y. Factor -2*q**s - 8*q**3 + q**4 - 4*q**5 - 9*q**4 - 2*q**4 + 0*q**5.
-2*q**2*(q + 1)**2*(2*q + 1)
Suppose -h - 2 = -1. Let z be h*(-4)/(-16)*-6. Factor -1/2*p**5 - 1/2*p**2 + 0*p - 3/2*p**4 + 0 - z*p**3.
-p**2*(p + 1)**3/2
Let g be (8/3)/(3/9). Suppose 2*n = 4*n + w - g, 18 = 5*n + 2*w. What is k in -4*k**3 - 2*k + 5*k**2 + 3*k**n - 2*k**3 = 0?
0, 1/3, 1
Let s(v) be the first derivative of 4*v**3/3 + 2*v**2 - 4*v - 5. Let y(q) = 9*q**2 + 8*q - 7. Let g(r) = 5*s(r) - 2*y(r). Let g(l) = 0. Calculate l.
-3, 1
Let c(b) = 5*b**2. Let o(d) = -3*d**2. Let s(f) = 5*c(f) + 8*o(f). Let s(p) = 0. What is p?
0
Let k(l) be the third derivative of -l**5/210 + l**4/21 + 5*l**3/21 + 2*l**2. Find d such that k(d) = 0.
-1, 5
Suppose -443*j**3 + 25*j**2 + 4*j + 438*j**3 - 4*j = 0. What is j?
0, 5
Let 1 - 4*r**2 - 8*r**4 - 215*r**3 + 225*r**3 + 2*r**5 - 1 = 0. What is r?
0, 1, 2
Find o such that o - 1/2*o**3 + 1/2*o**2 + 0 = 0.
-1, 0, 2
Let t(m) be the third derivative of m**6/960 - m**5/240 - m**4/192 + m**3/24 - 2*m**2. Factor t(o).
(o - 2)*(o - 1)*(o + 1)/8
Let i(o) = -4*o**4 + 4*o**3 + 3*o. Let l(w) = 5*w**4 - 5*w**3 - 4*w. Let j(z) = -4*i(z) - 3*l(z). What is x in j(x) = 0?
0, 1
Let f(h) = 10*h**5 - 10*h**4 - 20*h**3 + 40*h + 20. Let w(i) = -i**5 + i**4 - i**3 + i**2. Let g(c) = f(c) + 5*w(c). What is k in g(k) = 0?
-1, 2
Let p(l) be the second derivative of -l**7/84 - l**6/20 - 3*l**5/40 - l**4/24 + 2*l. Factor p(z).
-z**2*(z + 1)**3/2
Let n(o) be the first derivative of 5*o**2 + 2*o**3 + 2 + 4*o - 2/5*o**5 - 1/2*o**4. Let n(d) = 0. Calculate d.
-1, 2
Let k be (1/(-2))/((-7)/28). Find t, given that 0*t - 8 + 0*t**2 - 14*t**k + 32*t = 0.
2/7, 2
Suppose 4*s - 4*o = s + 150, 3*s - 2*o - 156 = 0. Let l be (-1)/1*s/(-189). Factor -l*c + 0 - 8/7*c**2.
-2*c*(4*c + 1)/7
Let z(h) = 3*h**4 - h**3 - 4*h**2 + 2*h. Let v(u) = -4*u**4 + u**3 + 5*u**2 - 3*u. Let p(b) = 2*v(b) + 3*z(b). Suppose p(d) = 0. What is d?
-1, 0, 2
Suppose q - 3*q = -32. Let t = 26 - q. Solve t*u**2 + 2/3 + 8/3*u**4 - 26/3*u**3 - 14/3*u = 0 for u.
1/4, 1
Let y be (-13)/(-39) + (-2)/(-66). Factor 0 + y*x**2 - 2/11*x - 2/11*x**3.
-2*x*(x - 1)**2/11
Solve 144/5*x + 232/5*x**2 + 156/5*x**3 + 36/5*x**4 + 32/5 = 0 for x.
-2, -1, -2/3
Let c(s) be the third derivative of -s**5/100 + s**4/24 - s**3/15 - s**2. Factor c(i).
-(i - 1)*(3*i - 2)/5
Let h(r) be the first derivative of r**6/30 - r**4/4 + r**3/3 + r + 2. Let c(m) be the first derivative of h(m). Suppose c(f) = 0. What is f?
-2, 0, 1
Let v(y) be the first derivative of -2*y**5/65 - y**4/13 + 2*y**3/13 - 12. Suppose v(f) = 0. What is f?
-3, 0, 1
Factor 4*v**2 + 16*v - 68 + 68.
4*v*(v + 4)
Let i(z) = -z**3 + 3*z**2 + 2*z - 4. Let s be i(3). Let x = 5 - s. Solve 2*n**2 + 2*n**4 - 6*n**3 - n**4 + 3*n**x = 0 for n.
0, 1, 2
Let c be ((-6)/24)/((-1)/6). Factor 3/2*z**4 - 1/2 - z**2 - 1/2*z**5 - z**3 + c*z.
-(z - 1)**4*(z + 1)/2
Factor 1/2*w**4 + 0 + 1/4*w**2 - 3/4*w**3 + 0*w.
w**2*(w - 1)*(2*w - 1)/4
Let o(x) be the first derivative of -x**6/33 + 2*x**5/55 + x**4/22 - 2*x**3/33 + 6. Determine p so that o(p) = 0.
-1, 0, 1
Factor 1/4*r**2 + 0 - 11/4*r.
r*(r - 11)/4
Let c(b) be the second derivative of -1/9*b**3 + 0*b**2 - 1/18*b**4 + 1/30*b**5 + 1/45*b**6 + 0 + b. Factor c(j).
2*j*(j - 1)*(j + 1)**2/3
Let g(t) = t**3 - 2*t**2 + 3*t - 2. Let z be g(2). Suppose 0 = -5*h + 3*l + 14, z*h - l = -3 + 17. Factor 0*p**2 + 2/9*p**h + 0 + 0*p + 0*p**3.
2*p**4/9
Let m be 3/12 + (-15)/(-4). Suppose -z + m*z - 6 = 0. Factor 2*q - 3*q - q**2 - q**z.
-q*(2*q + 1)
Let g be 4 + (-3 - -1) + 4. Let z be (g/(-2))/(12/(-16)). Find o such that -z*o**4 + o**4 + 2*o**4 + o**5 = 0.
0, 1
Let z(w) be the third derivative of -w**8/1008 + w**6/120 - w**5/90 - 31*w**2. Factor z(d).
-d**2*(d - 1)**2*(d + 2)/3
Let a be (2 - (-6)/(-9))*(43 - 27). Factor 4*r**2 - 1/3*r**3 - 16*r + a.
-(r - 4)**3/3
Factor -2/17*n**2 + 2/17 - 2/17*n + 2/17*n**3.
2*(n - 1)**2*(n + 1)/17
Let q(l) be the first derivative of -27*l**6/160 + 9*l**5/40 - l**4/8 + 2*l**3/3 - 3. Let o(s) be the third derivative of q(s). Find k such that o(k) = 0.
2/9
Let t(v) be the first derivative of -4*v**6/21 - 2*v**5/35 + 4*v**4/7 + 4*v**3/21 - 4*v**2/7 - 2*v/7 - 5. Let t(r) = 0. What is r?
-1, -1/4, 1
Let s(t) be the first derivative of 2*t**3/3 - t**2 - 4*t - 10. Factor s(n).
2*(n - 2)*(n + 1)
Let x(t) be the third derivative of t**6/480 + t**5/120 - t**4/96 - t**3/12 + 11*t**2. Suppose x(q) = 0. What is q?
-2, -1, 1
Factor 28/9*v**3 - 4/9*v**4 + 4*v + 0 - 20/3*v**2.
-4*v*(v - 3)**2*(v - 1)/9
Let h = -5 - -9. Suppose -h*o + 12 = 2*v, 5*o - 4*o = -2*v + 3. Factor n**4 + v*n**4 + n**5 - 5*n**4 - 2*n**3 - 3*n**5.
-2*n**3*(n + 1)**2
Let m(d) = d**3 - 1. Let n(s) = 8*s**3 - 3*s**2 + 2*s - 7. Let v(g) = -21*m(g) + 3*n(g). Determine t so that v(t) = 0.
0, 1, 2
Let u(c) be the second derivative of -5*c**4/36 + c**3/6 + c**2/3 + 3*c. Factor u(z).
-(z - 1)*(5*z + 2)/3
Let w(x) be the second derivative of x**7/3780 + x**6/540 + x**5/180 + x**4/6 + 2*x. Let r(d) be the third derivative of w(d). Solve r(v) = 0 for v.
-1
Suppose -9 = 3*q + 3*n, 6*q - 3*q + 5*n = -19. Factor -2/3*j**q + 2/3*j**3 + 2/3*j**4 + 0 - 2/3*j.
2*j*(j - 1)*(j + 1)**2/3
Suppose -4*u = 3*u. Suppose u + 1/6*h**2 + 1/6*h = 0. Calculate h.
-1, 0
Let p(y) be the third derivative of -1/150*y**5 - 3*y**2 - 1/20*y**4 + 0*y + 0 - 2/15*y**3. Factor p(a).
-2*(a + 1)*(a + 2)/5
Let a be ((-12)/(-33))/(24/44). Factor 0 + 4/3*q - a*q**2.
-2*q*(q - 2)/3
Let v(y) be the third derivative of -y**7/735 + y**6/140 - y**5/105 + 4*y**2. Determine r, given that v(r) = 0.
0, 1, 2
Factor 10*f**2 + 0*f**2 - 2*f - f**3 - 13*f**2.
-f*(f + 1)*(f + 2)
Let g = -18 - 0. Let t be 2*-2*1/g. Suppose -t*u**5 + 2/9*u**3 + 0*u**4 + 0 + 0*u + 0*u**2 = 0. What is u?
-1, 0, 1
Let o = 6 - 6. Let g(n) be the first derivative of -1/7*n**2 + o*n - 2/21*n**3 - 1. Determine r, given that g(r) = 0.
-1, 0
Let f(o) be the second derivative of -3*o**5/100 + o**4/60 + o**3/15 - 2*o. Factor f(j).
-j*(j - 1)*(3*j + 2)/5
Let w(d) be the second derivative of -d**7/105 + 4*d**6/75 - 3*d**5/25 + 2*d**4/15 - d**3/15 + 12*d. Let w(b) = 0. Calculate b.
0, 1
Let s(r) be the third derivative of r**7/1260 + r**6/360 - r**4/72 - r**3/36 + 2*r**2. Factor s(o).
(o - 1)*(o + 1)**3/6
Suppose 0*t - 3*t = 42. Let h(k) = k**3 - k**2 + 19*k + 15. Let l(d) = -d**2 + d + 1. Let b(z) = t*l(z) + 2*h(z). Determine g so that b(g) = 0.
-2
Let j(l) = 2*l**5 - 9*l**4 + 13*l**3 - 4*l**2 - 2*l - 13. Let n(r) = -r**5 + 4*r**4 - 6*r**3 + 2*r**2 + r + 6. Let y(h) = 6*j(h) + 13*n(h). Factor y(d).
-d*(d - 1)*(d + 1)**3
Let l(b) be the second derivative of b**4/72 - b**3/18 - b**2/4 - 9*b. Let l(z) = 0. What is z?
-1, 3
Let u be 1260/2695 + (-4)/22. Factor 5/7*r**3 - u + 2/7*r**2 - 5/7*r.
(r - 1)*(r + 1)*(5*r + 2)/7
Let f(r) = -r**3 - 10*r**2 - 14*r + 20. Let s be f(-8). Find l such that 2/7 + 0*l + 2/7*l**s - 4/7*l**2 + 0*l**3 = 0.
-1, 1
Let g(r) be the first derivative of -r**5/30 - r**4/6 - 5*r**3/18 - r**2/6 - 6. Factor g(o).
-o*(o + 1)**2*(o + 2)/6
Suppose -o - 5*z + 24 = 0, -2*z = 3*o + 18 - 38. Factor -4/5*j + 2/5*j**o - 8/5*j**3 + 0 + 2*j**2.
2*j*(j - 2)*(j - 1)**2/5
Let r = -1 + 4. Solve 0 - r + w**3 - 3*w + 0*w + 5 = 0 for w.
-2, 1
Let m be (-8)/6 - (-6)/3. Suppose 10 = 4*a - 2*g, 0 = -17*a + 19*a - 5*g - 1. Suppose 2/3 + 2*i + m*i**a + 2*i**2 = 0. Calculate i.
-1
Let