 - 2/3*w**3 + l - 4/9*w.
-2*w*(w + 2)*(3*w + 1)/9
Let u(l) be the second derivative of l**4/6 - l**2 - l. Let o(z) = -z - 1. Let n(y) = -4*o(y) + u(y). Suppose n(s) = 0. What is s?
-1
Let w(o) be the first derivative of -5*o**3/3 + 5*o**2/2 + 1. Let q(g) = g**3 + g**2 - g. Let y(r) = q(r) + w(r). Let y(d) = 0. Calculate d.
0, 2
Let f(x) be the second derivative of x**5/80 + x**4/8 + x**3/2 + x**2 + 19*x. Suppose f(d) = 0. What is d?
-2
Suppose -4*k - 4*n = 14 - 22, -5*k - n = -2. Factor 0*a**2 + k*a**3 + 0*a**4 + 0*a + 0 - 1/2*a**5.
-a**5/2
Let j(s) be the second derivative of 2/5*s**5 + 0 + 1/15*s**6 + 4/3*s**3 + s**2 - 5*s + s**4. Factor j(a).
2*(a + 1)**4
Let u(i) = 10*i**3 + 40*i**2 + 45*i. Let n(t) = -5*t**3 - 20*t**2 - 23*t. Let q(p) = -5*n(p) - 3*u(p). Suppose q(s) = 0. Calculate s.
-2, 0
Let a(f) = -f**2 - f + 4. Let v(h) = h - 1. Let p = -14 - -11. Let c(m) = p*a(m) - 6*v(m). Factor c(b).
3*(b - 2)*(b + 1)
Let y(n) = 2*n**2 - n. Let c(x) = 2*x**2 - 2*x. Let d(m) = 5*c(m) - 6*y(m). Factor d(w).
-2*w*(w + 2)
Let y = -753/10 + 384/5. Let h be 2 - 1 - (-1)/(-2). What is f in y*f**3 - h + 1/2*f**2 - 3/2*f = 0?
-1, -1/3, 1
Let m(r) be the third derivative of 2*r**7/105 - r**6/30 - 11*r**2. Factor m(o).
4*o**3*(o - 1)
Let t(i) be the third derivative of 4*i**7/105 - i**6/10 - 7*i**5/15 + 2*i**4 - 8*i**3/3 - 30*i**2 - 1. Let t(u) = 0. Calculate u.
-2, 1/2, 1, 2
Let o(w) be the first derivative of -7*w**5/15 - 5*w**4/12 + 16*w**3/9 - 2*w**2/3 + 6. Solve o(z) = 0.
-2, 0, 2/7, 1
Suppose v - 9 = -5*p, -2*p - 5 - 13 = -5*v. Let j be (4/10)/(p/10). What is s in -s**2 - s**2 + s**5 + 4*s**2 - s - 2*s**j = 0?
-1, 0, 1
Let f be 1/(2/4) + 6. Let s(p) = -5*p**3 + 5*p**2 - 8*p. Let r(m) = -2*m**3 + 2*m**2 - 3*m. Let h be (-2 + 5)*(-1 - 0). Let a(v) = f*r(v) + h*s(v). Factor a(t).
-t**2*(t - 1)
Let a be (-6)/(-21) + (-12)/(-7). Factor v**2 - 2*v**a - v**2 + 4*v.
-2*v*(v - 2)
Let x(h) be the third derivative of h**7/1575 - h**6/450 + h**4/90 - h**3/45 - 5*h**2. Factor x(n).
2*(n - 1)**3*(n + 1)/15
Let t = -23 - -23. Let g(r) be the second derivative of 1/42*r**4 + 0*r**2 + 0 + t*r**3 + 1/70*r**5 + 2*r. Find l such that g(l) = 0.
-1, 0
Let j(d) = 12*d**4 - 4*d**3 - 4*d**2 - 12*d. Let q(o) = o**4 - o**3 - o. Let h(z) = -j(z) + 8*q(z). Factor h(u).
-4*u*(u - 1)*(u + 1)**2
Find i, given that -8 - 20*i - 19*i**3 + 8*i**3 + 7*i**3 - 16*i**2 = 0.
-2, -1
Let s(f) = 8*f**3 - 7*f**2 - 9*f - 9. Let o(h) = h**3 - h**2 - h - 1. Let d(n) = -18*o(n) + 2*s(n). Suppose d(c) = 0. Calculate c.
0, 2
Solve -2073*x - 5*x**2 + 2073*x = 0 for x.
0
Let i(c) = -2 + 3*c + c - 2*c. Let d be i(3). Factor -2*t**2 + 2*t - 2*t**3 + 2*t**4 - 4*t + d*t.
2*t*(t - 1)**2*(t + 1)
Let u(p) be the third derivative of p**5/150 + p**4/60 - 2*p**3/5 - 7*p**2. Factor u(w).
2*(w - 2)*(w + 3)/5
Let s(y) be the third derivative of y**7/840 + y**6/180 + y**3/6 + 2*y**2. Let k(m) be the first derivative of s(m). Factor k(l).
l**2*(l + 2)
Let j(i) = -5*i**2 + 2*i + 3. Let n(p) = 2*p**2 - p - 1. Let b = 14 + -17. Let g(m) = b*j(m) - 8*n(m). Solve g(s) = 0 for s.
1
Let w be ((2 + -2)*(-1)/1)/1. Find r, given that 8/5*r**2 + 2/5*r**4 + 0 - 8/5*r**3 + w*r = 0.
0, 2
Let n = 749/3 + -247. Suppose 6 = -r - 3*y - y, -5*y = r + 8. Let 8/3*c**r + 2/3 - n*c = 0. Calculate c.
1/2
Suppose 6*u - 12*u + 24 = 0. Factor 0*v**2 - 1/3 - 2/3*v**3 + 2/3*v + 1/3*v**u.
(v - 1)**3*(v + 1)/3
Let n be (5 + -1)*15/(-24). Let b = n + 3. Solve 0 - b*k**3 + 0*k + 0*k**2 = 0 for k.
0
Suppose p + 0 = 3. Factor -3*t**2 + t**p + 3*t**2 + 0*t**2 - t.
t*(t - 1)*(t + 1)
Let w = 8 - 0. Let s = w - 7. Let -3/2*i + 1/2*i**2 + s = 0. Calculate i.
1, 2
Suppose -12*r**2 + 4 + 230*r**4 + 4*r**2 - 226*r**4 = 0. Calculate r.
-1, 1
Find s, given that 18/5 - 2*s**2 - 6/5*s - 2/5*s**3 = 0.
-3, 1
Let y(a) be the first derivative of -a**4 + 0*a**3 + 0*a + 0*a**2 - 2/5*a**5 - 5. Factor y(k).
-2*k**3*(k + 2)
Let p = 14 - 16. Let a be p/7 + 75/140. Factor -a*g**2 + 0 + 1/4*g**3 + 0*g.
g**2*(g - 1)/4
Let a be 3 + (6/(-3) - -1). Determine r, given that -3 + a + 3 + 4*r - 4*r**3 - 2*r**2 = 0.
-1, -1/2, 1
Let s be 2 + (-4)/(4 + -2). Factor 2*c**3 + 3*c**2 - 2*c - 2*c**4 + s*c**3 - 2*c**2 + c**2.
-2*c*(c - 1)**2*(c + 1)
Factor 16/3*r + 8/3 - 154/3*r**2.
-2*(7*r - 2)*(11*r + 2)/3
Let l(b) be the third derivative of 0 - 1/10*b**5 + 1/70*b**7 + 0*b**4 + 0*b**3 + 5*b**2 - 1/40*b**6 + 0*b. Factor l(r).
3*r**2*(r - 2)*(r + 1)
Let i(m) be the second derivative of -m**6/70 - 3*m**5/70 + m**4/7 + m**3/7 - 9*m**2/14 + 9*m. What is t in i(t) = 0?
-3, -1, 1
Factor -126/5*o**4 + 0 + 4/5*o + 49/5*o**5 + 109/5*o**3 - 36/5*o**2.
o*(o - 1)**2*(7*o - 2)**2/5
Let u(l) = 3*l**3 + l**2 - 4*l - 2. Let b(n) = -21*n**3 - 6*n**2 + 27*n + 15. Let g(r) = 2*b(r) + 15*u(r). Factor g(s).
3*s*(s - 1)*(s + 2)
Let g(x) be the third derivative of -x**6/30 - x**5/5 - x**4/3 - 4*x**2. Factor g(j).
-4*j*(j + 1)*(j + 2)
Let c = 10 - 11. Let x be -4 + c + (-32)/(-6). Suppose -x*h**3 - 2/3 - 4/3*h**2 - 5/3*h = 0. Calculate h.
-2, -1
Let t(o) be the first derivative of -o**6/45 + o**5/20 + o**4/12 - 4*o**3/3 - 2. Let w(l) be the third derivative of t(l). Find a, given that w(a) = 0.
-1/4, 1
Suppose -7*y + 30 = -y. Suppose -y*i + 2*i = -12. Suppose -1/2*t**2 - 3/2*t**i - 1/2*t**5 - 3/2*t**3 + 0 + 0*t = 0. Calculate t.
-1, 0
Let r(v) be the third derivative of -v**8/50400 + v**7/6300 - 3*v**5/20 + v**2. Let j(c) be the third derivative of r(c). Suppose j(d) = 0. What is d?
0, 2
Let j(a) be the second derivative of -4*a**2 - 4/3*a**3 - 1/6*a**4 + 0 + a. Factor j(u).
-2*(u + 2)**2
Let t(m) be the second derivative of 5*m**4/6 + 7*m**3/3 + 2*m**2 - 8*m. Factor t(v).
2*(v + 1)*(5*v + 2)
Let z be (-2 - -1)/((-4)/16). Suppose 0 = z*n + 2*w - 16, -3*n + w - 2 = -4. Find t such that 2/3*t - 2/3*t**n + 4/3 = 0.
-1, 2
Let u(q) = q**4 - 2*q**2 + 3*q**3 - 3*q**4 + q**4. Suppose -2 = g - 0. Let d(b) = -2*b**4 + 4*b**3 - 3*b**2. Let l(h) = g*d(h) + 3*u(h). What is m in l(m) = 0?
-1, 0
Let s(t) = t**3 + 4*t**2 - 5*t - 6. Let c be s(-6). Let o be c/(-45) + 6/(-9). Let 2/5*j**3 - o*j + 0 + 0*j**2 = 0. Calculate j.
-1, 0, 1
Let x(r) = -9*r**2 - 40*r - 76. Let l(k) = -19*k**2 - 80*k - 151. Let m(n) = -4*l(n) + 9*x(n). Suppose m(z) = 0. Calculate z.
-4
Factor -4/11 + 4/11*l**2 + 2/11*l - 2/11*l**3.
-2*(l - 2)*(l - 1)*(l + 1)/11
Let g = -27 - -136/5. Let t(b) be the first derivative of 0*b - 2/15*b**3 - 1 - g*b**2. Determine o so that t(o) = 0.
-1, 0
Suppose -3*q - 27 = 3. Let h be 4/q + 36/15. Factor 2/7 + 6/7*v + 6/7*v**h + 2/7*v**3.
2*(v + 1)**3/7
Let w = -110 - -66. Let p be -3 - (1 - w/(-10)). Solve 0 + 2/5*r**3 + 2/5*r**4 + 0*r - 2/5*r**2 - p*r**5 = 0 for r.
-1, 0, 1
Let z(i) = -18*i**2 + i + 1. Let m be z(-1). Let a be 3*(-10)/m + -1. Factor -2/3*n**2 + a*n**4 + 2/3*n**5 + 0 - 2/3*n**3 + 0*n.
2*n**2*(n - 1)*(n + 1)**2/3
Let w(j) be the third derivative of j**5/570 + j**4/76 - 6*j**2. Factor w(t).
2*t*(t + 3)/19
Let p(u) be the second derivative of u**6/165 + u**5/22 + 3*u**4/22 + 7*u**3/33 + 2*u**2/11 + 14*u. Determine w, given that p(w) = 0.
-2, -1
Suppose -1/3*t**4 - 11/3*t**3 - 37/3*t - 14/3 - 11*t**2 = 0. What is t?
-7, -2, -1
Let a(r) = 9*r**5 - 4*r**4 + 3*r**3 + 8*r + 8. Let b(x) = 6*x**5 - 3*x**4 + 2*x**3 + 5*x + 5. Let g(w) = 5*a(w) - 8*b(w). Factor g(o).
-o**3*(o - 1)*(3*o - 1)
Let i(z) = -11*z - 7. Let l be i(-1). Suppose -1/3*q + q**2 + 0 + 1/3*q**l - q**3 = 0. What is q?
0, 1
Let b be (1/(-6) - 0) + (-23)/(-138). Factor -2/3*n - 1/3*n**2 + b.
-n*(n + 2)/3
Let x(t) be the third derivative of -t**5/140 + 3*t**4/56 - t**3/7 + 6*t**2. Solve x(a) = 0.
1, 2
Let z(x) = -2*x**3 + 13*x**2 + 32*x + 17. Let w(v) = -15*v**3 + 90*v**2 + 225*v + 120. Let j(i) = -3*w(i) + 20*z(i). Factor j(u).
5*(u - 4)*(u + 1)**2
Let k(s) = -15*s + 75. Let d be k(5). Let -2/15*q**3 + d + 0*q - 2/15*q**2 + 2/15*q**4 + 2/15*q**5 = 0. What is q?
-1, 0, 1
Let f(r) = -3*r - 9. Let g(o) = -o**2 + 4*o + 9. Let d(s) = -2*f(s) - 3*g(s). Let d(c) = 0. What is c?
-1, 3
Factor 16*o**4 + 3*o**2 - 8*o + 15*o**3 - 9*o**2 + 2456*o**5 - 2453*o**5.
o*(o + 1)**2*(o + 4)*(3*o - 2)
Let c(j) be the third derivative of -j**8/336 - 4*j**7/105 - j**6/20 + 2*j**5/3 - 25*j**4/24 - 39*j**2. Factor c(s).
-s*(s - 1)**2*(s + 5)**2
Let c(v) be the first derivative