4 + 9/2*k**3.
3*k**2*(k - 1)**3/2
Factor 6*d**5 + 5*d**3 - 10*d - 15*d**4 + 2*d**5 - 3*d**5 + 15*d**2.
5*d*(d - 2)*(d - 1)**2*(d + 1)
Let y(q) = q - 10. Let c be y(10). Let m(a) be the second derivative of a + 1/15*a**5 + c*a**4 - 1/45*a**6 - 2/9*a**3 + 1/3*a**2 + 0. Factor m(p).
-2*(p - 1)**3*(p + 1)/3
Let d(w) be the second derivative of 1/180*w**5 - 1/2*w**2 + 0 - 2*w - 1/36*w**4 + 1/18*w**3. Let j(s) be the first derivative of d(s). Factor j(c).
(c - 1)**2/3
Let r(b) = -4*b**3 + 4*b**2 + 4*b. Let i(u) = 5*u**3 - 4*u**2 - 5*u + 1. Let x(f) = -4*i(f) - 3*r(f). Factor x(q).
-4*(q - 1)*(q + 1)*(2*q - 1)
Let n(t) = 4*t**2 - 3*t - 1. Let s(d) = -8*d**2 + 5*d + 3. Let k(u) = -5*n(u) - 3*s(u). Solve k(j) = 0.
-1, 1
Let h(j) be the third derivative of -j**10/166320 + j**9/41580 - j**8/36960 + j**4/8 + 2*j**2. Let i(q) be the second derivative of h(q). Factor i(g).
-2*g**3*(g - 1)**2/11
Let -27*p + 27*p - 2*p**3 + 6*p**2 - 3 - 5 = 0. Calculate p.
-1, 2
Let v(p) be the third derivative of -1/48*p**4 + 3*p**2 + 0*p**3 + 1/480*p**6 + 0*p + 0 - 1/240*p**5. Factor v(r).
r*(r - 2)*(r + 1)/4
Find n such that 5/6*n + 1/6*n**2 - 1 = 0.
-6, 1
Let j(s) = 2*s + 6*s**2 + 2 + 3*s - 1 - 2*s. Let v(f) = 7*f**2 + 4*f + 1. Let q(o) = -6*j(o) + 5*v(o). Let q(z) = 0. What is z?
1
Let z be (2/(-5))/((-3)/15). Let o = 0 + 2. Factor 3*u**3 + u**o - z*u**3 - 2*u**3 + u - u**4.
-u*(u - 1)*(u + 1)**2
Let t = 2/269 - -3756/1345. Let -2/5*w**5 - 2/5*w - 9/5*w**4 - 9/5*w**2 + 0 - t*w**3 = 0. What is w?
-2, -1, -1/2, 0
Let g = -58 - -61. Let f be ((-4)/10)/(1/(-5)). Factor -2/3*d**g + 2/3*d + 0 + 0*d**f.
-2*d*(d - 1)*(d + 1)/3
Let a(x) = x. Let u be a(3). Factor 2*r - 6*r + 0*r + 5*r**u + 4*r**2 - 3*r**4.
-r*(r - 2)*(r + 1)*(3*r - 2)
Suppose -5*p - 5*t + 35 = 0, 5*p - 47 + 12 = -3*t. Let x be (-2)/p - 40/(-42). Determine c, given that -c**2 + x*c + 1/3 = 0.
-1/3, 1
Let v be 229/9*15/(-20). Let z = -107/6 - v. Let -z*m**4 - 1/2*m**5 - 3/4*m**3 + 1/4*m + 0 + 1/4*m**2 = 0. What is m?
-1, 0, 1/2
Let c(k) be the first derivative of 0*k + 3/20*k**4 + 0*k**3 - 2/5*k**2 - 1/25*k**5 - 1. Factor c(s).
-s*(s - 2)**2*(s + 1)/5
Suppose 19 = 5*f - 4*y, 0 = -3*f - 3*y + 4 + 2. Let j(l) be the third derivative of 1/8*l**4 + 0*l - 1/60*l**5 + 0 - 1/3*l**f + 2*l**2. Factor j(u).
-(u - 2)*(u - 1)
Let w(z) be the third derivative of -z**5/360 - 5*z**4/144 - z**3/9 + 21*z**2. Factor w(n).
-(n + 1)*(n + 4)/6
Let h(z) be the third derivative of -z**8/1512 + 2*z**7/945 + z**6/270 - 2*z**5/135 - z**4/108 + 2*z**3/27 + 5*z**2. Suppose h(b) = 0. What is b?
-1, 1, 2
Suppose 4*z - 8 = 0, 4*q - 2*z = 3*q - 4. Let b(i) be the first derivative of -i**3 - 3/2*i**2 + q*i - 3. Factor b(h).
-3*h*(h + 1)
Let b(f) be the third derivative of 0*f**5 + 0*f + 0*f**4 + 1/315*f**7 + 1/180*f**6 + 0*f**3 + 0 - 4*f**2. Let b(w) = 0. Calculate w.
-1, 0
Let y(l) be the third derivative of -l**6/480 + l**5/240 + l**4/96 - l**3/24 + 9*l**2. Factor y(r).
-(r - 1)**2*(r + 1)/4
Let f(s) be the third derivative of -s**5/20 - s**4/8 - 2*s**2. Suppose f(v) = 0. What is v?
-1, 0
Let w = 3 + 2. Let g(i) be the third derivative of 1/24*i**3 - 1/480*i**6 + 0 + 0*i + i**2 - 1/240*i**w + 1/96*i**4. Factor g(f).
-(f - 1)*(f + 1)**2/4
Let b be 15/10*-3*(-12)/27. Suppose -1/3*v**2 - 3 + b*v = 0. Calculate v.
3
Suppose -o = -4*o + s + 9, -5*o - 2*s + 15 = 0. Let y(j) be the second derivative of 0 - 2*j + 1/12*j**4 - 1/12*j**o + 0*j**2. Let y(i) = 0. What is i?
0, 1/2
Let g(a) be the second derivative of -a**6/15 - 3*a**5/20 - a**4/12 - 9*a. Factor g(y).
-y**2*(y + 1)*(2*y + 1)
Let u be 4/(-3)*6/(-4). Suppose -f + u = -0*f. Determine o so that 2*o**5 - 2*o**4 + 6*o**3 + 4*o**2 - 4*o**4 - 6*o**f = 0.
0, 1
Let l(s) be the third derivative of -2/5*s**6 + 0 + 0*s - 1/30*s**5 - 3*s**2 - 1/3*s**3 - 16/105*s**7 + 1/2*s**4. Factor l(o).
-2*(o + 1)**2*(4*o - 1)**2
Let k(w) = w**2 + 2*w + 2. Let x be k(-3). Suppose -14 = x*t - 34. Let d + 1/3 + 1/3*d**2 - 2/3*d**t - d**3 = 0. Calculate d.
-1, -1/2, 1
Let y(q) be the third derivative of 2*q**2 + 0*q + 0*q**4 + 0 + 1/60*q**6 + 0*q**3 - 1/15*q**5. Factor y(f).
2*f**2*(f - 2)
Let a(y) = 2*y**2 + y**2 - 1 - 2*y**2 + 3*y. Let i(t) = -2*t**2 - 5*t + 2. Let k(j) = -5*a(j) - 3*i(j). Determine n so that k(n) = 0.
-1, 1
Let u(m) be the first derivative of -3*m**5/20 + 9*m**4/16 - 3*m**2/2 + 18. Determine z so that u(z) = 0.
-1, 0, 2
Let i be (2/(-1))/(40/(-140)). Let d = i + -4. Find c, given that -8/11*c**4 - 54/11*c**2 - 16/11*c + 8/11 - 38/11*c**d = 0.
-2, -1, 1/4
Let q(t) be the second derivative of t**4/18 + 8*t**3/9 + 4*t**2 - 11*t. Factor q(r).
2*(r + 2)*(r + 6)/3
Suppose -h = 4*a - 6, -6*a - 12 = -9*a + 3*h. Find n such that 2/5*n + 0 - 2/5*n**a = 0.
0, 1
Let c(i) be the third derivative of 1/300*i**5 + 0*i**3 - i**2 + 0 + 0*i - 1/120*i**4. Solve c(l) = 0 for l.
0, 1
Let k = -1515 + 7577/5. Factor -k*g - 1/5*g**2 - 1/5.
-(g + 1)**2/5
Let a(w) be the third derivative of -1/20*w**4 + 0 + 0*w - 3/10*w**3 - 1/300*w**5 + w**2. Factor a(m).
-(m + 3)**2/5
Let l(y) be the first derivative of 1/5*y**2 - 1/10*y**4 + 2/15*y**3 + 0*y - 1 - 2/25*y**5. Factor l(s).
-2*s*(s - 1)*(s + 1)**2/5
Suppose 4*h = 0, 4*p - 3*p - 2*h - 1 = 0. Let 8 - 6*d - 2*d**2 - d**2 + p = 0. What is d?
-3, 1
Let p = -4 + 6. Factor 1 + 4*r - 6*r**2 - 1 - r**4 - 3 + p + 4*r**3.
-(r - 1)**4
Suppose -20 - 24 = -11*g. Factor -3*r + 0 + 3/2*r**g + 3*r**3 - 3/2*r**2.
3*r*(r - 1)*(r + 1)*(r + 2)/2
Suppose -23 = 2*b - 33, -5*b = 3*x - 25. Determine g, given that -1/2*g**2 + 1/2 + x*g = 0.
-1, 1
Factor 1/6*j**2 - 1/6 + 1/6*j - 1/6*j**3.
-(j - 1)**2*(j + 1)/6
Let o(r) be the third derivative of r**7/840 - r**5/40 + r**4/24 - 3*r**2. Let p(d) be the second derivative of o(d). What is u in p(u) = 0?
-1, 1
Let t be 3 + 2 + -1 + -1. Let g = -3 - -5. What is a in -g*a**4 + 0*a - 2/3*a**5 - 2/3*a**2 + 0 - 2*a**t = 0?
-1, 0
Factor 2/5*t**2 + 0 + 0*t.
2*t**2/5
Let m(o) be the second derivative of -o**8/112 + o**7/35 - o**6/40 + o**2 + 5*o. Let p(s) be the first derivative of m(s). Factor p(f).
-3*f**3*(f - 1)**2
Let p(x) = -x**5 - x**4 - x**3 + x**2 - x + 1. Let a(s) = -14*s**5 - 10*s**4 - 10*s**3 + 10*s**2 - 12*s + 12. Let c(r) = a(r) - 12*p(r). Factor c(g).
-2*g**2*(g - 1)**2*(g + 1)
Let l(f) be the second derivative of f**6/135 - f**4/18 + 2*f**3/27 - 3*f. Let l(p) = 0. Calculate p.
-2, 0, 1
Let t = 29 + -143/5. Let p(r) be the first derivative of 2 + 2*r - t*r**5 + 0*r**3 - 2*r**2 + r**4. Factor p(h).
-2*(h - 1)**3*(h + 1)
Let q = -3/2 - -137/90. Let g(k) be the second derivative of -k - 1/15*k**5 - 1/9*k**4 + 0 + q*k**6 + 1/3*k**2 + 1/63*k**7 + 1/9*k**3. Factor g(m).
2*(m - 1)**2*(m + 1)**3/3
Let k(j) = j**3. Let p(z) = 7*z**3 - 5*z**2 - 5*z + 5. Let t(h) = 2*k(h) - p(h). Suppose t(n) = 0. Calculate n.
-1, 1
Determine c, given that 4*c**3 + 4 + 32*c**3 - 8*c**2 - 18*c - 15*c**5 + 4*c**4 + 6*c**5 - 9*c**5 = 0.
-1, 2/9, 1
Let g = 31 + -28. Factor -4*i**2 + g*i - 3*i - 2*i**3 + 0*i.
-2*i**2*(i + 2)
Let w(g) be the third derivative of -g**6/60 - g**5/30 - g**2. Factor w(l).
-2*l**2*(l + 1)
Let l(r) be the third derivative of r**7/70 - r**6/120 - 3*r**5/20 - r**4/8 + r**3/3 + 5*r**2. Suppose l(d) = 0. What is d?
-1, 1/3, 2
Let g(l) be the first derivative of l**4/4 - l**3/2 - 3*l - 3. Let m(v) be the first derivative of g(v). Factor m(a).
3*a*(a - 1)
Suppose -15 = 5*t, 5*t = -3*p - 0*p - 27. Let z be (7 + -7)*2/p. What is k in 2/3*k**5 - 4/3*k**3 + 0*k**2 + 2/3*k + z*k**4 + 0 = 0?
-1, 0, 1
Determine l, given that 2/11*l**2 - 8/11 - 6/11*l = 0.
-1, 4
Let f = 184/497 - 6/71. Factor f*d**3 + 2/7*d + 4/7*d**2 + 0.
2*d*(d + 1)**2/7
Let i(u) be the second derivative of 2*u - 1/2*u**3 + 3*u**2 + 0 - 1/4*u**4. Find h such that i(h) = 0.
-2, 1
Let k = -76 + 76. Let u(d) be the third derivative of 1/33*d**3 + 0*d**4 + 0*d + k - 1/330*d**5 - d**2. Let u(f) = 0. What is f?
-1, 1
Let a(o) be the third derivative of -o**5/30 - o**4/12 + 2*o**3/3 + 5*o**2. Factor a(q).
-2*(q - 1)*(q + 2)
Let l(x) = -x + 2. Let s be l(-10). Suppose -8*p + 33*p**2 + s*p**4 + 7 - p**2 + 2*p**5 + 26*p + 28*p**3 - 3 = 0. Calculate p.
-2, -1
Let 0*s + 0 + 1/4*s**2 = 0. Calculate s.
0
Let z(w) be the third derivative of -w**7/2100 + w**6/450 + 3*w**3/2 + 2*w**2. Let f(o) be the first derivative of