y) = 6*y**5 + 5*y**4 - 7*y**3 + 5*y**2 - 4*y. Let f(c) = -5*k(c) - p(c). Factor f(x).
-x*(x - 1)**2*(x + 1)**2
Find w such that 8*w + 0 + 7*w - 10 - 5*w**2 = 0.
1, 2
Let s be (-1)/5 + (-27)/15. Let d be ((-1)/s*1)/1. Factor 1/2*p**5 - 1/2*p**3 + 1/2*p**2 + 0 - d*p**4 + 0*p.
p**2*(p - 1)**2*(p + 1)/2
Let p(x) be the second derivative of -3*x**6/50 - 4*x**5/25 + x**4/15 - 8*x. Factor p(g).
-g**2*(g + 2)*(9*g - 2)/5
Let s(v) = -v**2 - v - 1. Let b(a) = a**2 + 2*a + 2 - 5*a**2 + 0*a + 5*a**2. Let c(p) = 3*b(p) + 2*s(p). Suppose c(d) = 0. What is d?
-2
Let p be -1*(-1)/18*(-20 - -24). Let h(i) be the second derivative of 0 - 1/27*i**3 - 1/54*i**4 + p*i**2 - 4*i. Determine x, given that h(x) = 0.
-2, 1
Let l(o) = -6*o - 4. Let p(v) = v**2 + 13*v + 7. Let h(i) = -5*l(i) - 2*p(i). Factor h(z).
-2*(z - 3)*(z + 1)
Let w(y) be the first derivative of -1/2*y**2 + 0*y**4 - 1/60*y**5 + 0*y**3 - 2 + 0*y. Let c(f) be the second derivative of w(f). Suppose c(k) = 0. What is k?
0
Let t(g) be the second derivative of -g**5/30 + g**4/6 + g**3 - 5*g**2/2 + g. Let b(n) be the first derivative of t(n). Factor b(h).
-2*(h - 3)*(h + 1)
Let i(x) = -3*x**3 + 4*x**2 + 2. Let q(f) = -3*f**3 + 5*f**2 + 2. Let a(m) = 3*i(m) - 2*q(m). Let g(v) = -v**2 - 1. Let k(l) = -a(l) - 2*g(l). Factor k(d).
3*d**3
Let g(a) be the second derivative of -a**7/840 - a**6/180 + a**3/2 - 4*a. Let b(z) be the second derivative of g(z). Find r, given that b(r) = 0.
-2, 0
Find w, given that 144/7*w + 195/7*w**2 + 12/7 + 9*w**3 = 0.
-2, -1, -2/21
Factor 2793 + 3*p**3 + 2*p**3 - 2793 - 15*p**2.
5*p**2*(p - 3)
Factor 32/7*m**2 + 2/7*m**4 + 16/7*m**3 + 0 + 0*m.
2*m**2*(m + 4)**2/7
Let w(b) = -b + 2. Let z be w(-2). Suppose -s**z - 26*s**3 - 11*s**2 - 4*s**4 - 6*s**2 + 4 + 8*s**3 = 0. What is s?
-2, -1, 2/5
Let v(j) be the first derivative of j**6/2 + 9*j**5/5 + 3*j**4/2 - 2*j**3 - 9*j**2/2 - 3*j + 20. Suppose v(f) = 0. Calculate f.
-1, 1
Let g(c) = 15*c**4 + 23*c**3 + 7*c**2 - 30*c - 22. Let w(k) = -5*k**4 - 8*k**3 - 2*k**2 + 10*k + 7. Let o(i) = 2*g(i) + 7*w(i). Factor o(t).
-5*(t - 1)*(t + 1)**3
Let l(h) be the first derivative of 1/15*h**5 - 1/12*h**4 + 1/6*h**2 - 1/9*h**3 + 3 + 0*h. Let l(i) = 0. Calculate i.
-1, 0, 1
Let c(u) be the third derivative of u**6/60 - 2*u**5/15 + u**4/4 + 6*u**2. Factor c(g).
2*g*(g - 3)*(g - 1)
Let v(c) = -3*c**3 + 24*c**2 + 24*c + 9. Let m(s) = -2*s**3 + 12*s**2 + 12*s + 5. Let b(r) = -9*m(r) + 5*v(r). Solve b(j) = 0.
-2, 0
Let m(q) be the first derivative of q**5 - 35*q**4/4 + 55*q**3/3 - 25*q**2/2 - 31. Find w, given that m(w) = 0.
0, 1, 5
Let g be (-28)/156 - (-10)/30. Factor 2/13*b**2 - 2/13*b + 0 + g*b**3 - 2/13*b**4.
-2*b*(b - 1)**2*(b + 1)/13
Suppose 2*x - 6*x = -20. Suppose 7*j - 3*j + 2*w = 28, -x*w = -20. Find f, given that f**4 - 2 - 23/4*f**3 - j*f + 21/2*f**2 = 0.
-1/4, 2
Let r(z) be the third derivative of -z**6/360 + z**4/18 - 7*z**2. Factor r(u).
-u*(u - 2)*(u + 2)/3
Let i(d) = d**3 + 20*d**2 + 17*d - 33. Let c be i(-19). Factor 0*l**4 + 0*l**2 + 2/5*l**3 + 0 + 0*l - 2/5*l**c.
-2*l**3*(l - 1)*(l + 1)/5
Suppose 5*i + 2*r - 2 = 0, 3*r = -i - 0*r + 3. Suppose i*y + 11 = 2*y + k, -5*y - k + 20 = 0. Solve 0*d**2 - 2*d**y + d**3 + d**2 = 0 for d.
0, 1
Let t = 16 + -12. Let m be -3*2*(-2)/4. Solve -m*x**3 + 5*x**4 + 4*x**5 - 4*x**t + 4*x**3 + 4*x**4 = 0 for x.
-1, -1/4, 0
Let x be (-188)/(-60) + -4 - -1. Let w = 4/5 - x. What is z in 0 + 4/3*z**3 - w*z + 0*z**4 + 0*z**2 - 2/3*z**5 = 0?
-1, 0, 1
Let v be 2/5 - 16/(-10). Let q = -37 - -187/5. Factor q*l - 2/5*l**v + 0.
-2*l*(l - 1)/5
Let f(u) be the first derivative of -2*u**5/35 - u**4/7 + 2*u**2/7 + 2*u/7 + 29. Factor f(l).
-2*(l - 1)*(l + 1)**3/7
Find b such that -9/5*b - 3/5*b**3 - 2*b**2 - 2/5 = 0.
-2, -1, -1/3
Let f be (-4 - (-16)/(-3))*-3. Let t = f - 55/2. Factor -t*v**2 - 1/2 + v.
-(v - 1)**2/2
Let u(b) = b**3 + b. Let p(w) = -6*w**3 + 2*w**2. Let k(c) = c**2 - 8*c - 1. Let i be k(8). Let m(q) = i*p(q) - 4*u(q). Factor m(a).
2*a*(a - 2)*(a + 1)
Let l(o) be the third derivative of 0*o + 1/8*o**4 + 0*o**3 + 3*o**2 + 0 + 1/30*o**5. Find y, given that l(y) = 0.
-3/2, 0
Let b be (5 - (-3 - -2)) + -2. Let -8*m - m**2 - b + 2*m - m**2 = 0. What is m?
-2, -1
Let w(k) = 81*k**3 - 96*k**2 + 15*k. Let x(d) = 16*d**3 - 19*d**2 + 3*d. Let p(s) = 4*w(s) - 21*x(s). Solve p(q) = 0.
0, 1/4, 1
Let i(z) = -4*z**3 + 3*z**2 - 2*z - 6. Let w(x) = x**3 + x + 1. Let d(c) = c**3 - 5*c**2 - 8*c + 9. Let k be d(6). Let u(p) = k*w(p) - i(p). Factor u(v).
(v - 3)*(v - 1)*(v + 1)
Let l(q) be the third derivative of 1/40*q**6 + 0*q - 1/20*q**5 - 2*q**2 + 1/24*q**4 - 1/210*q**7 + 0 + 0*q**3. Factor l(o).
-o*(o - 1)**3
Let x(z) = -z**2 - 1. Let c(h) = -6*h**2 + 9*h - 9. Let o(s) = c(s) - 3*x(s). What is k in o(k) = 0?
1, 2
Let i(n) be the third derivative of n**5/100 - n**4/120 - n**3/15 - 20*n**2. What is l in i(l) = 0?
-2/3, 1
Factor 0 + 0*r + 2/7*r**2 + 2/7*r**3.
2*r**2*(r + 1)/7
Let w be (-10)/(-3)*-4*(-2)/40. Factor 2/3 + 0*h - w*h**2.
-2*(h - 1)*(h + 1)/3
Let q(m) be the second derivative of 0*m**3 + 1/21*m**7 + 0*m**4 + 0 - 2/15*m**6 + 1/10*m**5 + 3*m + 0*m**2. Factor q(c).
2*c**3*(c - 1)**2
Let m = 149/4 - 37. Factor 1/4*h**2 + 4*h**4 + m - 6*h**3 + 3/2*h.
(h - 1)**2*(4*h + 1)**2/4
Suppose -4 = -z - 0*z. Solve -3*p**5 - 8*p**4 + 2*p**4 + p**4 - 7*p**z - 12*p**3 = 0.
-2, 0
Let l(n) be the second derivative of 0 + 0*n**2 + 1/48*n**4 + 2*n + 1/12*n**3. Solve l(k) = 0 for k.
-2, 0
Let r be (4/48)/((-1)/(-4)). Determine y so that -y**2 - 1/3*y**3 + 5/3*y - 2/3 + r*y**4 = 0.
-2, 1
Let q = 160843/39 + -4123. Let i = 2/13 + q. Factor -1/3*x**2 + 4/3*x - i.
-(x - 2)**2/3
Let q = -39 - -43. Factor -4/13*y**2 + 2/13*y**q + 2/13 + 0*y**3 + 0*y.
2*(y - 1)**2*(y + 1)**2/13
Let i(h) = -7 + h**2 + 7 + 0. Let f(l) = 4*l**2 + l + 2. Let z(w) = 2*f(w) - 10*i(w). Solve z(c) = 0.
-1, 2
Let m(d) be the third derivative of -d**7/6300 + d**5/300 + d**4/12 - 3*d**2. Let j(b) be the second derivative of m(b). Suppose j(w) = 0. Calculate w.
-1, 1
Suppose 3*i + 3*t = -t - 7, -5*t - 32 = -4*i. Let z(a) be the third derivative of 1/12*a**i + 0 + 2*a**2 + 1/32*a**4 + 1/240*a**5 + 0*a. Solve z(m) = 0 for m.
-2, -1
Suppose -4*r + 29 + 11 = 0. Let y be 177/45 - 6/r. Suppose -2/3*l**2 - 2/3*l + 0 + y*l**3 - 2*l**4 = 0. Calculate l.
-1/3, 0, 1
Let c(k) be the third derivative of k**7/6 - 11*k**6/6 + 8*k**5 - 50*k**4/3 + 40*k**3/3 - 14*k**2. Factor c(a).
5*(a - 2)**3*(7*a - 2)
Let k be 9*16/360 + 2/(-80). Solve 0 + 1/8*z**2 - k*z = 0 for z.
0, 3
Let k be (-2)/7 - (-65)/7. Let u(l) = l**2 - 10*l + 13. Let y be u(k). Factor -2*m**2 + y*m + 2*m**3 - 4*m**3 - 4*m**3.
-2*m*(m + 1)*(3*m - 2)
Let q(s) = -2*s - 7. Let w be q(-5). Let t be ((-3)/(81/(-2)))/(4/12). Solve 2/9 + 2/9*f - 2/9*f**w - t*f**2 = 0 for f.
-1, 1
Let o be 2 + (6/3 - 1). Let l(h) be the third derivative of 0 + 1/8*h**4 - 1/6*h**o - h**2 + 1/120*h**6 + 0*h - 1/20*h**5. Factor l(m).
(m - 1)**3
Let l(o) be the first derivative of -o**4/4 + 2*o**3/3 - o**2/2 - 15. Determine q so that l(q) = 0.
0, 1
Let 0 + 1/2*u**3 + 1/8*u**4 + 0*u + 0*u**2 = 0. What is u?
-4, 0
Suppose 33 = 2*s - n, -69 + 21 = -2*s + 4*n. Suppose 5*a - b = s, -2 = 3*a + 3*b + 4. Find v such that -2 + 5*v**2 + 2*v - 5*v - 3*v**a = 0.
-1/2, 2
Let k(d) = -d**2 - 9*d - 9. Let q be k(-6). Let x(c) = c**3 - 8*c**2 - 8*c - 7. Let z be x(q). Solve -o**z - 2*o**5 - 6*o**3 - 6*o**4 + o**2 - 2*o**2 = 0 for o.
-1, 0
Suppose -5*c - 5*o = -15 - 25, 0 = -c + 5*o - 22. Factor 0 - 14/13*l**5 + 0*l**c + 0*l + 0*l**2 + 4/13*l**4.
-2*l**4*(7*l - 2)/13
Let y(n) be the third derivative of n**5/60 + n**4/12 + n**3/6 + 9*n**2. Suppose y(v) = 0. Calculate v.
-1
Suppose -z - 4 = -3*f, -2*f + 7*f = 10. Let h = 14 + -10. Let h + o - 2*o**3 - 3 - 2*o**z + o**4 + o**5 + 0*o = 0. Calculate o.
-1, 1
Factor 0*j**3 + 2/3*j**2 - 2/9*j**4 + 0 - 4/9*j.
-2*j*(j - 1)**2*(j + 2)/9
Factor -1 + 2/3*u + 1/3*u**2.
(u - 1)*(u + 3)/3
Let t = 1 + 2. Let z be 1 + 1*t/1. Factor 0 + 2/9*k**z - 2/9*k**3 + 0*k + 0*k**2.
2*k**3*(k - 1)/9
Let v = 7 - 5. Suppose -2*b = -v*x - 10, 2*b - 6 - 4 = -4*x. Factor -2/7*j + 4/7*j**3 + 0*j**2 + 0*j**4 - 2/7*j**5 + x.
-2*j*(j - 1)**2*(j + 1)**2/7
Suppose 7*r - 3*r + 8 = 0. Let d = -2 - r. Find u such that -2/7*u**4 + 2/7*u**3 + 0 + 0*u**2 + d*u