h - 666*h.
-h*(h + 4)**2
Let d = -281/4 - -71. Let i(a) be the first derivative of -3/10*a**5 - 7/4*a**4 + 1 + 1/3*a**3 + 1/2*a + 5/4*a**2 + d*a**6. Determine q so that i(q) = 0.
-1, -1/3, 1
Factor 0 - 3/4*w**3 - 3/2*w - 9/4*w**2.
-3*w*(w + 1)*(w + 2)/4
Let m(z) be the second derivative of -z**6/135 + z**5/90 - 3*z. Factor m(g).
-2*g**3*(g - 1)/9
Let n(m) be the second derivative of -m**6/15 - m**5/10 + m**4/2 + m**3/3 - 2*m**2 - 5*m. Factor n(h).
-2*(h - 1)**2*(h + 1)*(h + 2)
Let x(f) = f**5 - f**4 + f**3 - f**2 - f. Let d(h) = 2*h**5 + 10*h**4 - 2*h**3 - 22*h**2 + 6*h. Let l(z) = -d(z) + 6*x(z). Factor l(q).
4*q*(q - 3)*(q - 1)**2*(q + 1)
Determine m, given that 2/11*m**4 + 0 - 2/11*m**3 + 2/11*m**5 - 2/11*m**2 + 0*m = 0.
-1, 0, 1
Let r(k) be the first derivative of -2*k**3/21 - k**2 - 12*k/7 + 54. Solve r(q) = 0.
-6, -1
Let v(r) be the second derivative of 3*r**5/20 - r**4/4 - r**3/2 + 3*r**2/2 - 4*r. Factor v(k).
3*(k - 1)**2*(k + 1)
Let w(m) = -m**3 - m**2 + 1. Let u(l) = -l**3 - 4*l**2 + 2. Let x(k) = -2*u(k) + 4*w(k). Let x(r) = 0. Calculate r.
0, 2
Let b(r) be the first derivative of r**3/3 - r**2/2 + 10. Factor b(m).
m*(m - 1)
Let g be 30/25*(1 - 6). Let p(f) = f**2 + 7*f + 8. Let b be p(g). Suppose b*k**3 + 2*k**2 + 4*k**2 + 2 - k + 7*k = 0. What is k?
-1
Factor 2/17*f**2 - 2/17*f + 0.
2*f*(f - 1)/17
Suppose -13*b = 6*b - 38. Suppose -4/13*w - 2/13 - 2/13*w**b = 0. Calculate w.
-1
Let o(v) = 8*v**2 + 10*v - 6. Let y(r) = 7*r**2 + 9*r - 6. Let c(g) = 5*o(g) - 6*y(g). Solve c(t) = 0 for t.
-3, 1
Let g(v) be the third derivative of -v**7/1365 + v**6/390 + v**5/390 - v**4/78 + 46*v**2. Find z such that g(z) = 0.
-1, 0, 1, 2
Let g(d) = d**3 + d**2 + d + 1. Let l(a) = -2*a**3 - 5*a + 3*a**3 - 2*a**3 + 4*a - 2. Let s(i) = 2*g(i) + l(i). What is o in s(o) = 0?
-1, 0
Let x = 643/192 - 1/64. Solve -16/3*v - 2/3*v**3 - x*v**2 - 8/3 = 0.
-2, -1
Factor -17 - 2*v + 2*v**3 - 6*v**4 + 17 + 6*v**2.
-2*v*(v - 1)*(v + 1)*(3*v - 1)
Let a(k) be the second derivative of k**5/35 - 2*k**3/7 - 4*k**2/7 - 5*k. Suppose a(u) = 0. What is u?
-1, 2
Suppose o = -o + 4*n + 16, -4*n - 4 = 4*o. Let d(r) be the first derivative of -1/8*r**2 + 1/12*r**3 + o + 0*r. Suppose d(y) = 0. Calculate y.
0, 1
Let a be (185/(-20))/((-66)/4). Let l = a + -2/33. Factor -1/2*z**4 + 1/2*z**5 + 1/2*z**2 - l*z**3 + 0*z + 0.
z**2*(z - 1)**2*(z + 1)/2
Suppose j + 8*j = 0. Factor j*o + 0 - 2/3*o**3 + 1/3*o**2 + 1/3*o**4.
o**2*(o - 1)**2/3
Let b(a) = -42*a**3 - 13*a**2 + 3*a + 3. Let l(h) = -545*h**3 - 170*h**2 + 40*h + 40. Let n(z) = 40*b(z) - 3*l(z). Factor n(v).
-5*v**2*(9*v + 2)
Suppose 4*u + 16 = 2*o - u, 5*o = 5*u + 40. Factor -h**3 + 2*h**2 + 0*h**3 - 8*h**2 - 12*h - o.
-(h + 2)**3
Suppose 5*n = 4 + 6. Let s be (n/6)/(1/9). Determine v so that -1/6*v**2 - 1/6*v**s + 0*v + 0 = 0.
-1, 0
Let c(o) be the first derivative of 3/8*o**2 - 1/2*o + 5/12*o**3 - 3/8*o**4 + 8. Find m, given that c(m) = 0.
-2/3, 1/2, 1
Let f be (0/((-1)/(-1) - 0))/1. Determine g so that 0*g - 1/4*g**4 - 1/4*g**5 + 1/4*g**3 + 1/4*g**2 + f = 0.
-1, 0, 1
Solve 0 - 3/2*h**2 - 3/4*h**3 - 3/4*h = 0.
-1, 0
Suppose 2*d + 30 = -3*w, 0 = 2*d - 2*w + w + 22. Let z be (9/42)/((-9)/d). Find k such that 8/7*k**3 - 6/7*k**2 - z*k**4 - 8/7*k + 8/7 = 0.
-1, 1, 2
Suppose -2*b + 4 - 16 = 0. Let l = b + 8. Factor h**5 - h - 4*h**3 + l*h + 2*h**3.
h*(h - 1)**2*(h + 1)**2
Let d be (0/3)/(20/(-10)). Suppose -2/3*i**2 + 2/3*i + d = 0. What is i?
0, 1
Let o(g) be the third derivative of -g**7/8820 - g**6/2520 - g**4/8 + 2*g**2. Let x(l) be the second derivative of o(l). Factor x(u).
-2*u*(u + 1)/7
Let s(u) be the first derivative of u**4/4 - 2*u**3/3 + u**2/2 - 2. Factor s(h).
h*(h - 1)**2
Suppose -q - 5 = -3*q - 5*r, -4*q - 1 = -r. Let t(o) be the third derivative of q - 3/2*o**3 - 1/4*o**4 + 0*o + 2*o**2 - 1/60*o**5. Find c, given that t(c) = 0.
-3
Let q(w) be the second derivative of -w**4/60 - 2*w**3/15 - 2*w**2/5 - 2*w. Factor q(c).
-(c + 2)**2/5
Solve -3/4*m - 3/2*m**2 + 3/4 = 0.
-1, 1/2
Factor 2/13*s - 2/13*s**2 + 12/13.
-2*(s - 3)*(s + 2)/13
Suppose -4*i = 2*i. Let p(y) be the third derivative of 0*y - 1/27*y**3 + i*y**4 - y**2 + 1/270*y**5 + 0. Factor p(u).
2*(u - 1)*(u + 1)/9
Let r(o) be the third derivative of -o**7/560 - o**6/240 + o**5/40 + o**3/2 - 3*o**2. Let g(f) be the first derivative of r(f). Determine l so that g(l) = 0.
-2, 0, 1
Let p(r) be the third derivative of -2*r**5/15 - r**4/24 - 5*r**2. Find d such that p(d) = 0.
-1/8, 0
Suppose 4*y - 11 + 3 = 0. Factor -4/5*o - 4/5 - 1/5*o**y.
-(o + 2)**2/5
Let w(m) = -m**5 + m**4 + m**3 + m**2 + m - 1. Let x(q) = 6*q**5 + 24*q**4 + 19*q**3 + 7*q**2 + 3*q - 3. Let g(i) = 3*w(i) - x(i). Factor g(a).
-a**2*(a + 1)*(3*a + 2)**2
Let z = 7 + -10. Let w be (8/6)/((-2)/z). Let -s**2 - w - s**3 + 2 = 0. What is s?
-1, 0
Let m(d) be the third derivative of -d**6/30 - d**5/3 - d**4 - 13*d**2. Find v such that m(v) = 0.
-3, -2, 0
Suppose -10*p + 20 = -5*p. Let n(u) be the third derivative of 0*u**p + 1/70*u**7 - 2*u**2 + 0*u**3 + 0*u + 0 + 1/60*u**6 - 1/60*u**5. Factor n(t).
t**2*(t + 1)*(3*t - 1)
Let k(y) be the first derivative of -y**8/672 - y**7/420 + y**6/80 + y**5/24 + y**4/24 - 2*y**2 - 6. Let p(r) be the second derivative of k(r). Factor p(x).
-x*(x - 2)*(x + 1)**3/2
Determine n so that -2*n**2 + 16*n + 14*n**2 + 4*n**4 - 6*n**4 - 2 + 8 = 0.
-1, 3
Let z = 1333/296 + -1/296. Factor -3*b + z + 1/2*b**2.
(b - 3)**2/2
Let f(g) = -g**3 + 9*g**2 - 20*g + 8. Let d be f(5). Factor 26/3*n**3 + d*n**2 + 2/3*n**5 + 0 + 4*n**4 + 8/3*n.
2*n*(n + 1)**2*(n + 2)**2/3
Let c(t) be the second derivative of -t**4/24 - 5*t**3/12 + 2*t. Determine s, given that c(s) = 0.
-5, 0
Factor 2/3*k**2 - 1/3 - 1/3*k.
(k - 1)*(2*k + 1)/3
Let j(r) = -132*r**3 + 340*r**2 + 32*r - 176. Let d(t) = -12*t**3 + 31*t**2 + 3*t - 16. Let z(m) = 32*d(m) - 3*j(m). Solve z(s) = 0 for s.
-2/3, 1, 2
Let b be 4/7 + 12/(-42). Factor -2/7 + 0*j + b*j**2.
2*(j - 1)*(j + 1)/7
Let h(f) = f**4 + 17*f**3 - 20*f**2. Let o(a) = -a**4 + a**3 - a**2. Let u(d) = h(d) - 2*o(d). Factor u(k).
3*k**2*(k - 1)*(k + 6)
Let y be (2/(-3))/((-8)/36). Factor 1/4*x**2 + 1/2*x - 1/4*x**y + 0.
-x*(x - 2)*(x + 1)/4
Let c(h) be the third derivative of h**5/40 - 4*h**2. Let c(z) = 0. What is z?
0
Factor -3*r**3 + r**5 + 2*r - r**4 + 13 + r**2 - 13.
r*(r - 2)*(r - 1)*(r + 1)**2
Let r(x) be the second derivative of -3/2*x**5 + 0 - 4*x**3 - 2*x**2 - 43/12*x**4 + 2*x - 7/30*x**6. Suppose r(u) = 0. Calculate u.
-2, -1, -2/7
Let s be ((-12)/147)/((-4)/14). Solve 0 - s*o**2 + 4/7*o = 0 for o.
0, 2
Let l(h) = 2*h**2 - h - 4. Let g be l(2). Suppose -g*i + 26 = 20. Factor 1/2*v**i - 1/4*v**5 - 1/4 + 1/2*v**2 - 1/4*v - 1/4*v**4.
-(v - 1)**2*(v + 1)**3/4
Let s = -7 - -6. Let t be 0/(-4) - s/2. Factor 0 - u**2 + 1/2*u**3 + t*u.
u*(u - 1)**2/2
Let p(f) = -13*f**2 + 17*f - 4. Let n = 17 - 13. Let w(d) = -6*d**2 + 8*d - 2. Let q(r) = n*p(r) - 10*w(r). Find k such that q(k) = 0.
1/2, 1
Suppose 126 - 126 + 2*i + 2*i**3 - 4*i**2 = 0. What is i?
0, 1
Let c = -4 - -4. Let p(r) be the second derivative of 0 + c*r**2 + 1/3*r**3 - 1/20*r**5 - 1/12*r**4 + 2*r. Factor p(a).
-a*(a - 1)*(a + 2)
Let d(s) = -s**3 - s**2 - s + 1. Let y(k) = k**3 - 4*k**2 - 64*k + 84. Let z(m) = 4*d(m) - y(m). Factor z(x).
-5*(x - 2)**2*(x + 4)
Suppose -2*w = -11 + 3. Suppose o - w*o + 8 = -a, 14 = 4*o - 3*a. Factor 6*m + 0*m**o + 2 + 4*m**2 + 0*m**2.
2*(m + 1)*(2*m + 1)
Suppose 11*s + 12 = 10*s. Let g be 4/3*(-18)/s. Factor 0 + 1/4*a**3 - 1/2*a**g + 1/4*a.
a*(a - 1)**2/4
Determine d so that 2 - 3*d - 3*d**5 + 6*d**2 + 6*d**5 - 6*d**4 - 2 = 0.
-1, 0, 1
Let l(g) be the second derivative of -g**5/4 + 5*g**4/12 + 10*g**3/3 - 10*g**2 - 13*g. Suppose l(p) = 0. What is p?
-2, 1, 2
Suppose 5*d - 5 - 5 = 0. Suppose k - 6 = -3*x - 3, 0 = -2*k - d*x + 2. Factor 1/4*g**5 - 1/4*g**2 - 3/4*g**4 + 0*g + 3/4*g**3 + k.
g**2*(g - 1)**3/4
Let i(c) be the third derivative of -c**8/1848 - c**7/385 - c**6/220 - c**5/330 - 2*c**2 - 6*c. Factor i(k).
-2*k**2*(k + 1)**3/11
Let w(t) be the first derivative of 0*t**2 - 1/12*t**4 + 0*t - 1 + 1/9*t**3. Factor w(r).
-r**2*(r - 1)/3
Let d(s) be the second derivative of -s**5/20 + s**4/8 + s**3 + 2*s**2 + 2*s. Let w(q) be the first derivative of d(q). Factor w(h).
-3*(h - 2)*(h 