derivative of 0*z**3 + 1/10*z**5 + 0*z - 1/12*z**4 - 1/20*z**6 + 1/105*z**7 + 11*z**2 + 0. Factor i(g).
2*g*(g - 1)**3
Let j(v) = -v**2 + 6*v + 1. Let o be j(5). Let y(f) = -f**3 - 5*f**2 - 2*f - 7. Let z be y(-5). Factor 3 - 2*r**z + 6*r**2 - o*r + 1 - 2.
-2*(r - 1)**3
Factor 4 + 13*x**2 + 1 - 21*x - x**2 - 11.
3*(x - 2)*(4*x + 1)
Let m be -3*(-4)/3 + -2. Let p(g) be the first derivative of 1 - 2/27*g**3 + 0*g - 2/9*g**m. Find v such that p(v) = 0.
-2, 0
Let u(o) = o**2 - 3*o + 2. Let a be 0 + 0 + 3 + 0. Let h be u(a). Factor 9/2*v + h*v**2 + 1 - 15/2*v**3.
-(v - 1)*(3*v + 1)*(5*v + 2)/2
Let l(y) be the third derivative of -2*y**7/105 + y**6/5 - 4*y**5/5 + 5*y**4/3 - 2*y**3 + 5*y**2. Suppose l(j) = 0. What is j?
1, 3
Let z(o) be the third derivative of 7*o**7/45 - 49*o**6/180 - 2*o**5/45 + o**4/9 - 3*o**2. Let z(v) = 0. What is v?
-2/7, 0, 2/7, 1
Let t = 78/7 + -1553/140. Let s(r) be the second derivative of 0 + 2*r + 1/6*r**3 + t*r**5 + 1/6*r**4 + 0*r**2. Factor s(p).
p*(p + 1)**2
Let r(d) = 21*d - 6. Let k be r(2). Suppose 31*x - k*x + 20 = 0. Factor -1/2*v**3 - 1/2*v**2 + 1/4*v + 1/4 + 1/4*v**5 + 1/4*v**x.
(v - 1)**2*(v + 1)**3/4
Let w be -4 - (6 - 282/21). Determine t so that w*t - 12/7*t**2 + 2/7*t**3 - 16/7 = 0.
2
Solve 0*p**2 - 8/5*p**3 + 0*p + 4/5*p**5 + 0 - 4/5*p**4 = 0.
-1, 0, 2
Let g(b) be the first derivative of 5*b**9/1008 + b**8/70 + b**7/280 - b**6/60 - b**3/3 + 4. Let q(c) be the third derivative of g(c). What is p in q(p) = 0?
-1, 0, 2/5
Let w be (-10)/(-9) + 26/(-39). Factor 2/9*o**4 + 2/9*o**2 + 0*o + w*o**3 + 0.
2*o**2*(o + 1)**2/9
Let v(t) be the second derivative of 7*t + 1/9*t**3 + 1/36*t**4 + 0 + 1/6*t**2. Factor v(a).
(a + 1)**2/3
Factor -6/7*f**3 + 0 + 0*f - 2/7*f**4 + 0*f**2.
-2*f**3*(f + 3)/7
Let t(x) be the first derivative of 17/5*x**5 + 1 + 0*x + 11/3*x**3 - 5/6*x**6 - 21/4*x**4 - x**2. Determine h, given that t(h) = 0.
0, 2/5, 1
Let z(k) be the second derivative of 1/21*k**7 + 0*k**3 + 1/6*k**4 + 0 - 1/15*k**6 + 0*k**2 - 3*k - 1/10*k**5. Factor z(h).
2*h**2*(h - 1)**2*(h + 1)
Let w(j) be the third derivative of j**7/3780 + j**6/1620 + j**3/3 - j**2. Let s(n) be the first derivative of w(n). Factor s(f).
2*f**2*(f + 1)/9
Let i(t) = -t**3 + t**2 + t. Let g(l) = -5*l**3 + 10*l**2 - 25*l - 30. Let m(x) = g(x) - 10*i(x). Factor m(q).
5*(q - 3)*(q + 1)*(q + 2)
Factor -12*d + 2*d + 16*d**2 + 4*d**3 - 9*d**3 - d**2.
-5*d*(d - 2)*(d - 1)
Let x(c) be the first derivative of c**7/2940 - 3*c**3 + 6. Let i(g) be the third derivative of x(g). Factor i(k).
2*k**3/7
Suppose -16*j = -18*j. Let h = -2/33 - -13/33. Factor -h*v**2 + j - 2/3*v.
-v*(v + 2)/3
Suppose -6/7*x + 0 - 3/7*x**2 = 0. What is x?
-2, 0
Suppose 2*r + 4 = -u, -r - r = 3*u. Suppose -16 = -u*y + x, y - 8 = x + 2. Factor -6*o**2 + 4*o**2 - y*o + 3*o**2 + 9.
(o - 3)**2
Find k such that 1/4*k**2 + 1/4 + 1/2*k = 0.
-1
Suppose 6/7*x**4 + 27/7*x**3 + 0*x - 27/7*x**5 + 0 - 6/7*x**2 = 0. Calculate x.
-1, 0, 2/9, 1
Suppose -8/9*u**3 - 8/9*u + 4/3*u**2 + 2/9*u**4 + 2/9 = 0. Calculate u.
1
Let q(r) = r**2 - 12*r + 11. Let n(k) be the first derivative of -2*k**3 + 42*k**2 - 78*k + 3. Let b(t) = -2*n(t) - 15*q(t). Factor b(y).
-3*(y - 3)*(y - 1)
Let m(u) be the third derivative of 0 + 1/60*u**4 + 0*u**3 + 0*u - 1/75*u**5 - 1/840*u**8 - 3*u**2 + 0*u**6 + 2/525*u**7. Factor m(y).
-2*y*(y - 1)**3*(y + 1)/5
Let a be (1 + (-30)/24)/((-1)/3). Suppose 0*y**2 + 1/4*y**3 - 1/2 - a*y = 0. What is y?
-1, 2
Determine n so that -6/7*n**3 - 6/7 + 6/7*n + 6/7*n**2 = 0.
-1, 1
Let d be -3*(-1 - (-1 + 1)). Suppose -a - 1 = -3. Let -8*w**2 + 6*w**3 + 2*w**3 - a*w**4 + 0*w**d = 0. Calculate w.
0, 2
Let i(p) be the second derivative of -3*p + 1/40*p**5 + 0*p**2 + 1/12*p**3 + 1/12*p**4 + 0. Factor i(l).
l*(l + 1)**2/2
Let k(g) be the first derivative of g**5/20 + g**4/16 - g**3/12 - g**2/8 + 8. Let k(o) = 0. Calculate o.
-1, 0, 1
Let m(w) be the first derivative of -2*w**5/5 - 2*w**4/3 - 2*w**3/9 + 2. Factor m(p).
-2*p**2*(p + 1)*(3*p + 1)/3
Let t(i) be the second derivative of -i**5/90 + i**4/18 - 4*i**2/9 - 15*i. Factor t(b).
-2*(b - 2)**2*(b + 1)/9
Find u such that -10*u - 2*u**4 - 14*u**4 + 3*u**2 + 20*u**3 - 5 - 4*u**4 + 12*u**2 = 0.
-1/2, 1
Let o(t) be the second derivative of -t**5/45 - t**4/54 + t**3/27 + 2*t. Factor o(q).
-2*q*(q + 1)*(2*q - 1)/9
Factor 16/23*u + 2/23*u**3 - 10/23*u**2 - 8/23.
2*(u - 2)**2*(u - 1)/23
Let w be (4/5)/((-14)/(-35)). Factor 3*d**3 + 5*d + 3*d**w - 5*d.
3*d**2*(d + 1)
Factor 9/4*i**2 + 0*i + 1/4*i**4 + 3/2*i**3 + 0.
i**2*(i + 3)**2/4
Factor 0*w**2 + 0 - 2/13*w**3 + 2/13*w.
-2*w*(w - 1)*(w + 1)/13
Factor 2/5*y**2 + 4/5 - 6/5*y.
2*(y - 2)*(y - 1)/5
Let v(x) be the third derivative of -x**5/40 + x**4/4 - x**3 + 3*x**2. Suppose v(t) = 0. Calculate t.
2
Let b be (-6535)/35 - (-4 - -1). Let i = b + 184. Factor -i*a**3 + 2/7*a + 0*a**2 + 0.
-2*a*(a - 1)*(a + 1)/7
Let y(h) be the second derivative of -4/5*h**2 + 0 - 3*h + 4/15*h**3 - 1/30*h**4. Factor y(m).
-2*(m - 2)**2/5
Factor 0*d**2 + 0 + 0*d - 3/2*d**3.
-3*d**3/2
Solve -33*f**2 + 4*f + 16*f + 31*f**2 - 50 = 0.
5
Let u(i) be the first derivative of i**6/180 + i**5/60 - i**4/6 - 8*i**3/3 - 8. Let j(x) be the third derivative of u(x). Factor j(r).
2*(r - 1)*(r + 2)
What is i in i - 3 + 5 + 6*i**2 + i**4 + 3*i - 1 + 4*i**3 = 0?
-1
Let i(r) = r**5 - 22*r**4 + 8*r**3 + 38*r**2 + 23*r - 8. Let d(v) = v**5 - 7*v**4 + 3*v**3 + 13*v**2 + 8*v - 3. Let j(z) = -8*d(z) + 3*i(z). Factor j(q).
-5*q*(q - 1)*(q + 1)**3
Let i(z) be the first derivative of 0*z - 1 + 1/8*z**4 + 0*z**3 + 0*z**5 - 1/8*z**2 - 1/24*z**6. Factor i(p).
-p*(p - 1)**2*(p + 1)**2/4
Let i(u) be the second derivative of -u**6/30 + u**5/5 + u**4/12 - 2*u**3/3 - 29*u. Factor i(b).
-b*(b - 4)*(b - 1)*(b + 1)
Let b be (-6)/(-3) + (3 - (-3 - -6)). Find x, given that -3/2*x**5 + 0 - 3/2*x**3 + 0*x - 3*x**4 + 0*x**b = 0.
-1, 0
Suppose -4*z = z - 4*s, 0 = -5*z - 4*s. Let -5*o**2 + z + 2/3*o + 13/3*o**3 = 0. Calculate o.
0, 2/13, 1
Let z be 10 + (0 - 1)*-2. Suppose 5*m - 4*l = -l + z, 4*l = 4. Factor 2*t + 3*t**3 + t**m - 6*t**3.
-2*t*(t - 1)*(t + 1)
Let q(v) be the third derivative of -1/840*v**7 + 1/240*v**5 + v**2 + 0 + 0*v**6 + 0*v**3 + 0*v + 0*v**4. Factor q(r).
-r**2*(r - 1)*(r + 1)/4
Suppose -o = -8 + 4. What is d in -6*d**3 + 4*d**o + d**4 - 3*d**4 + 2*d**2 + 2*d**3 = 0?
0, 1
Let s(v) be the second derivative of v**6/180 - v**5/84 - v**4/42 - 2*v**3/3 - v. Let u(a) be the second derivative of s(a). Let u(l) = 0. Calculate l.
-2/7, 1
Suppose 4*y + 8 = -4*c, 6 = -5*c - 2*y - 2*y. Suppose -5*z + 2*l + 8 = 0, -3*l = -3*z + c + 1. Determine t, given that 5*t**3 - 3*t**3 + 4*t**2 - 2*t**z = 0.
-1, 0
Let r = 1093/2 - 545. What is u in 0 - r*u**2 + 6*u = 0?
0, 4
Let c(n) = n**3 - 9*n**2 + 20*n - 37. Let q be c(7). Determine o, given that -o**2 + 0 - 1/3*o - 4/3*o**q + o**4 + 5/3*o**3 = 0.
-1, -1/4, 0, 1
Let t = -151 + 1663/11. What is l in 2/11 + 0*l - t*l**2 = 0?
-1, 1
Let q(h) be the second derivative of h**6/120 + h**5/20 + h**4/8 + h**3/6 + h**2/8 + 17*h. Let q(m) = 0. What is m?
-1
Let n be (-1)/(-5) - 1010/4550. Let t = n - -4/13. Suppose t*k + 0 - 4/7*k**2 + 2/7*k**3 = 0. What is k?
0, 1
Let d(z) be the first derivative of 2*z**5/15 - 5*z**4/3 + 22*z**3/3 - 40*z**2/3 + 32*z/3 - 53. Solve d(s) = 0.
1, 4
Let s be (1/2)/((-6)/(-12)). Let x be (33/6)/(s/2). Factor 3*k**5 + 27*k**2 - x*k**3 + 6*k**5 + 6*k + 56*k**3 + 12*k**4 + 21*k**4.
3*k*(k + 1)**3*(3*k + 2)
Factor -2*j + 389 + 3*j**4 + j**4 - 30*j - 12*j**2 - 405 + 8*j**3.
4*(j - 2)*(j + 1)**2*(j + 2)
Let k(y) be the second derivative of -3*y**5/160 + 5*y**4/32 - y**3/2 + 3*y**2/4 - 9*y - 4. Let k(r) = 0. Calculate r.
1, 2
Let o be (1 - (15/(-6) - -3))*2. Let b(m) be the first derivative of 1/2*m**2 - 2/3*m**3 - 1/2*m**4 + 1/6*m**6 + 1/5*m**5 + o + m. Factor b(i).
(i - 1)**2*(i + 1)**3
Let g be -3 + 2 + 1 + 2/1. Let f(d) be the second derivative of -1/7*d**3 + 1/42*d**4 + 2/7*d**g + d + 0. Let f(j) = 0. What is j?
1, 2
Suppose -6*h + h - 30 = -2*q, 2*h = -2*q + 30. Suppose m + q = 4*m. Suppose 0 - 4/9*y**4 + 4/9*y**2 - 2/9*y**m + 2/9*y + 0*y**3 = 0. Calculate y.
-1, 0, 1
Let j(z) be the third derivative of z**6/60 - z**5/30 - z**4/12 + z**3/3 + 7*z**2. Factor j(v).
2*(v - 1)**2*(v + 1)
Let x = 0 - -2. Let k(u)