-37/15. Factor 4/3*r**3 + 0*r**4 - u*r + 0*r**2 + v - 2/3*r**5.
-2*r*(r - 1)**2*(r + 1)**2/3
Let l(i) be the third derivative of -i**8/84 + 3*i**7/70 + i**6/60 - 3*i**5/20 + i**4/12 - 2*i**2 - 20*i. Let l(u) = 0. What is u?
-1, 0, 1/4, 1, 2
Let k(a) = a + 6. Let b be k(-5). Let x be (-2 + b)/((-2)/10). Solve 2*l**x - 5*l**4 + 2*l**4 - l**4 + 2*l**3 = 0 for l.
0, 1
Solve 1/2*r**4 + 1/4*r + 0 + 0*r**3 - 1/4*r**5 - 1/2*r**2 = 0.
-1, 0, 1
Let x(n) be the third derivative of 0 - 1/12*n**4 + 1/15*n**5 + 4*n**2 + 0*n - 2/105*n**7 + 0*n**6 + 0*n**3 + 1/168*n**8. Factor x(d).
2*d*(d - 1)**3*(d + 1)
Let o(p) be the first derivative of 14*p**5/55 - 8*p**4/11 + 2*p**3/3 - 2*p**2/11 + 6. Factor o(n).
2*n*(n - 1)**2*(7*n - 2)/11
Let a(g) = g**2 + 26*g + 4. Let r(n) = 5*n**2 + 105*n + 15. Let i(q) = 15*a(q) - 4*r(q). Determine t, given that i(t) = 0.
-6, 0
Let i be 2/(-3) + (-64)/12. Let d(n) = -2*n**2 + 4*n + 1. Let f(g) = g**2 - 4*g - 2. Let r(b) = i*f(b) - 4*d(b). Factor r(w).
2*(w + 2)**2
Let l = -28 + 28. Let w(i) be the third derivative of -1/105*i**7 + 0*i**3 - 1/60*i**5 + 0*i**4 + 1/48*i**6 + 1/672*i**8 - 4*i**2 + l + 0*i. Factor w(j).
j**2*(j - 2)*(j - 1)**2/2
Let y = -8 + -22. Let j be y/12*2/(-10). Let -1/4*r**2 - j*r + 0 = 0. What is r?
-2, 0
Let x(d) be the second derivative of 2*d**5/15 - 5*d**4/18 - 7*d**3/9 + 2*d**2/3 + 7*d. Factor x(j).
2*(j - 2)*(j + 1)*(4*j - 1)/3
Suppose -2*w - h = -4, -2*w = -h + 6*h - 20. Find m such that 6/5*m + w - 9/5*m**2 = 0.
0, 2/3
Let s = 64 + -48. Let b be (s/(-30))/((-16)/40). Let -1/3*v**2 - b + 4/3*v = 0. What is v?
2
Let b(j) be the second derivative of -j**7/1680 + j**6/160 - j**5/40 - j**4/12 + 5*j. Let p(i) be the third derivative of b(i). Factor p(m).
-3*(m - 2)*(m - 1)/2
Factor -2/9*d - 2/9*d**2 + 2/9 + 2/9*d**3.
2*(d - 1)**2*(d + 1)/9
Let q be (-6)/(-24)*(4 + 5 + 3). Find k, given that 0 + 3/2*k - 9/4*k**2 + 3/4*k**q = 0.
0, 1, 2
Let w(u) be the second derivative of 0 - 1/16*u**4 + 0*u**3 + 0*u**2 - 9/40*u**6 + 4*u - 9/40*u**5. Let w(m) = 0. Calculate m.
-1/3, 0
Let d be (-6)/(-4)*12*(-2)/(-9). Let o(v) be the second derivative of 3*v - 1/2*v**3 + v**2 + 0*v**d + 1/20*v**5 + 0. Factor o(z).
(z - 1)**2*(z + 2)
Let u = -16 - -21. Let i(a) be the second derivative of 2/105*a**6 - 1/21*a**3 - 1/21*a**4 + 0*a**2 + 0 + 0*a**u + 4*a + 1/147*a**7. Find s such that i(s) = 0.
-1, 0, 1
Let q(i) be the third derivative of -1/40*i**6 + 3*i**2 + 0*i**4 + 3/70*i**7 + 0 - 7/20*i**5 + 2*i**3 + 0*i + 1/112*i**8. Suppose q(n) = 0. Calculate n.
-2, -1, 1
Solve 3*x**3 + 15*x**2 - 18*x + 9*x**2 - 9*x**2 = 0.
-6, 0, 1
Suppose -21/2*m**2 - 3*m - 3/2*m**5 - 27/2*m**3 - 15/2*m**4 + 0 = 0. Calculate m.
-2, -1, 0
Let l = -49 + 49. Factor 3/4*w**4 + l + 5/4*w**2 + 1/4*w + 7/4*w**3.
w*(w + 1)**2*(3*w + 1)/4
Let x(n) = 5 + 7*n**3 + 13*n**2 - 7*n**4 + 6*n**4 + 5*n**4. Let w(g) = 10*g**4 + 18*g**3 + 32*g**2 + 12. Let h(y) = -5*w(y) + 12*x(y). Factor h(p).
-2*p**2*(p + 1)*(p + 2)
Let f be 0 + ((-3)/7)/(-3). Factor -1/7*v**3 + 1/7*v + f*v**2 - 1/7.
-(v - 1)**2*(v + 1)/7
Factor -6*h**4 - 7*h**3 - 5*h**3 - 9*h**2 - 4*h**3 + 15*h**2.
-2*h**2*(h + 3)*(3*h - 1)
Suppose -5*v + 2*k - 6 = 0, -1 = 2*k - 7. Let i(s) be the third derivative of 0*s + 0*s**4 + v*s**3 + 0 - 1/20*s**5 - 4*s**2. Factor i(b).
-3*b**2
Let l(n) = -56*n**3 + 40*n**2 + 16*n - 5. Let d(z) = -28*z**3 + 20*z**2 + 8*z - 2. Let x(o) = 5*d(o) - 2*l(o). Factor x(g).
-4*g*(g - 1)*(7*g + 2)
Let g(t) be the second derivative of t**5/5 - 2*t**3 + 4*t**2 + 5*t. Suppose g(h) = 0. What is h?
-2, 1
Let x be -6*(8/12)/(-1). Let a(m) be the first derivative of -2/15*m**3 + 2/5*m - 1/10*m**x + 1 + 1/5*m**2. Suppose a(c) = 0. Calculate c.
-1, 1
Let c(l) be the third derivative of 1/10*l**6 + 0*l + 0 - 1/15*l**5 + 8*l**2 + 0*l**3 + 2/105*l**7 + 0*l**4 - 1/28*l**8. Solve c(v) = 0.
-1, 0, 1/3, 1
Let a(j) be the second derivative of 3*j**5/140 + 5*j**4/28 + 3*j**3/14 - 27*j**2/14 + 3*j - 10. Solve a(u) = 0.
-3, 1
Let h = -2 + 1. Let w be -1 + (-3 + 2)*h. Find f such that -3*f**3 - 4*f**2 + w - 4/3*f = 0.
-2/3, 0
Let t(c) be the first derivative of 2*c**3/9 - 2. Factor t(b).
2*b**2/3
Suppose -6/5*d**2 - 4/5*d**3 + 0 + 0*d - 2/15*d**4 = 0. What is d?
-3, 0
Let i(f) be the second derivative of f**6/15 - 3*f**5/10 + f**4/2 - f**3/3 + 2*f. Factor i(k).
2*k*(k - 1)**3
Let n = 91 - 177/2. Let -n*u + 2*u**2 + 1/2 = 0. Calculate u.
1/4, 1
Factor -6/5 + 3/5*d**3 - 12/5*d**2 + 3*d.
3*(d - 2)*(d - 1)**2/5
Let x(g) = -2*g + 3 + 4*g**3 - g**3 - 1 + 3*g**2. Let n = 26 + -15. Let f(w) = 16*w**3 + 16*w**2 - 11*w + 11. Let h(i) = n*x(i) - 2*f(i). Solve h(v) = 0 for v.
-1, 0
Let c = -2/51 + 7/34. Let d(u) be the first derivative of 2 + c*u**4 + 0*u + 0*u**2 + 0*u**3. Let d(h) = 0. Calculate h.
0
Let a(o) be the second derivative of 0*o**2 + 0 + 1/3*o**3 - 1/1620*o**6 - 1/540*o**5 + 0*o**4 + o. Let l(c) be the second derivative of a(c). Factor l(t).
-2*t*(t + 1)/9
Let z(g) be the third derivative of -g**6/75 - g**5/15 - 2*g**4/15 - 2*g**3/15 + 4*g**2. Factor z(m).
-4*(m + 1)**2*(2*m + 1)/5
Let w = 21/88 - -1/88. Solve -w - 2*p - 4*p**2 = 0.
-1/4
Let m(b) be the second derivative of b**6/165 + b**5/55 - b**4/66 - 2*b**3/33 + 11*b. Solve m(l) = 0 for l.
-2, -1, 0, 1
Let s(n) = 2*n**2 - 3*n + 1. Let q be s(3). Suppose 3*v + q = -5*g - v, -g - v = 3. Factor 9*f + 1 + 0*f**2 + 5*f**g - 3*f.
(f + 1)*(5*f + 1)
Let y(i) be the third derivative of 7/72*i**4 - 4*i**2 - 1/20*i**5 - 1/9*i**3 + 0*i - 1/630*i**7 + 0 + 1/72*i**6. Factor y(x).
-(x - 2)*(x - 1)**3/3
Let j(f) be the third derivative of -f**8/1512 + f**6/270 - f**4/108 - 9*f**2. Factor j(b).
-2*b*(b - 1)**2*(b + 1)**2/9
Let u = 2/273 - -269/546. Factor 0 - o**2 + u*o + 1/2*o**3.
o*(o - 1)**2/2
Let x be ((-8)/(-12))/((-12)/(-90)). Suppose 0 - 16/7*s**4 - 2/7*s**3 + 0*s + 4/7*s**2 - 10/7*s**x = 0. What is s?
-1, 0, 2/5
Let f(p) = -p**2 + 10*p + 3. Let q be f(10). Let x(h) be the second derivative of 0*h**q + 0 + 1/3*h**2 - 1/18*h**4 + h. Factor x(w).
-2*(w - 1)*(w + 1)/3
Let k(f) = f**3 + f**2 + 3. Let p(z) = -z**2 + 9*z. Let m be p(9). Let b be k(m). Factor 2/3*s**2 + 0 + 0*s**b + 0*s - 2/3*s**4.
-2*s**2*(s - 1)*(s + 1)/3
Suppose -3/4*u + 10*u**4 + 0 + 25/4*u**5 - 47/2*u**3 + 8*u**2 = 0. Calculate u.
-3, 0, 1/5, 1
Suppose 0 = -5*r + 3 + 7. Suppose 3*i + r*i = 0. What is o in 0 + 4/5*o**2 + 18/5*o**3 + 14/5*o**4 + i*o = 0?
-1, -2/7, 0
Suppose 1650 - 8465 = -5*r. Let c = -9525/7 + r. Suppose 60/7*n**2 + 50*n**3 + 250/7*n**4 - 8*n - c = 0. Calculate n.
-1, -2/5, 2/5
Let c(z) = 5*z**2 - 5*z + 4. Let o(j) be the third derivative of -1/10*j**5 - j**2 + 1/4*j**4 + 0*j - 5/6*j**3 + 0. Let m(f) = -5*c(f) - 4*o(f). Factor m(s).
-s*(s - 1)
Let t(a) be the first derivative of 2*a**3/3 + 2*a**2 + 10. Factor t(h).
2*h*(h + 2)
Let l(c) be the third derivative of 0*c**3 - 1/210*c**5 - 4*c**2 + 0*c**4 + 0 + 0*c. Factor l(x).
-2*x**2/7
Let f = -23 + 25. Factor -2/7*t**f - 2/7*t + 0.
-2*t*(t + 1)/7
Factor -1/4*d**2 + 0 + 1/2*d.
-d*(d - 2)/4
Suppose 12 = -2*r + 4. Let o be (r/5)/((-4)/10). Suppose -4*p - p + 2*p**o + 3*p = 0. What is p?
0, 1
Let g(y) = -9*y**5 + 17*y**4 - 7*y**3 - y**2 - 5*y - 5. Let w(b) = 5*b**5 - 9*b**4 + 3*b**3 + b**2 + 3*b + 3. Let q(x) = -3*g(x) - 5*w(x). Factor q(r).
2*r**2*(r - 1)**3
Let f(p) be the first derivative of -p**4/4 - 8*p**3/3 - p**2/2 - 3*p - 1. Let u be f(-8). Factor -2*s**3 + 8*s**2 + s**2 - u*s**2.
-2*s**2*(s - 2)
Let a(j) be the third derivative of j**6/60 - j**5/15 - j**4/12 + 2*j**3/3 - 27*j**2. Factor a(i).
2*(i - 2)*(i - 1)*(i + 1)
Let t be 4/(-14) - 26056/(-2016). Let z = -98/9 + t. Solve 2*s**2 - z*s + 1/4 + 4*s**3 = 0 for s.
-1, 1/4
Let q = 6 - 4. Let l = -13 - -15. Factor 0*o**q - o - 5*o + 2*o - l*o**2.
-2*o*(o + 2)
Let b(i) be the third derivative of -i**6/60 - i**5/30 - 7*i**2. Factor b(n).
-2*n**2*(n + 1)
Factor 2/11 + 2/11*g**2 + 4/11*g.
2*(g + 1)**2/11
Let i(p) be the first derivative of 5/4*p**2 + 1/12*p**6 + 1/2*p - 1 + 1/2*p**5 + 5/4*p**4 + 5/3*p**3. Let i(j) = 0. What is j?
-1
Let y(o) = -6*o**3 + 4*o**2 - 2*o + 4. Let b(g) = -7*g**3 + 4*g**2 - 2*g + 5. Let w(z) = -4*b(z) + 5*y(z). Factor w(i).
-2*i*(i - 1)**2
Let i(b) be the second derivative of 0*b**3 + 0 + 1/20*b**5 + 1/30*b**6 + 0*b**2 - 1/42*b**7 - 1/12*b**4 - 5*b. Find 