et b(u) = -5*w(u) - 6*z(u). Factor b(g).
2*g**2*(g - 3)**3
Let f(u) = -3*u**4 + 3*u**3 - 7*u**2 + 2*u. Let h(z) = 2*z**4 - 2*z**3 + 4*z**2 - z. Suppose q - 2*q = -3. Let c(i) = q*f(i) + 5*h(i). What is s in c(s) = 0?
-1, 0, 1
Let i(t) be the first derivative of 686*t**6/3 + 196*t**5/5 - 210*t**4 + 304*t**3/3 - 16*t**2 - 4. Factor i(z).
4*z*(z + 1)*(7*z - 2)**3
Let c = 2686 - 10823/4. Let s = 20 + c. Solve -1/2*m + 1/4*m**2 + s = 0.
1
Let g(x) be the second derivative of -x + 0*x**3 - x**2 + 0 + 1/6*x**4. Determine i so that g(i) = 0.
-1, 1
Suppose 3*v - 9 = -0. Suppose -3 = -4*i + 21. What is y in 2*y**v - 4/3 + i*y - 20/3*y**2 = 0?
1/3, 1, 2
Let k be (-8)/7 + (21 - 10) + -9. Factor -2/7*p**3 - k*p - 6/7*p**2 - 2/7.
-2*(p + 1)**3/7
Let c(a) = 20*a**4 - 35*a**3 + 49*a**2 - 8*a. Let s(n) = 5*n**4 - 9*n**3 + 12*n**2 - 2*n. Let p(r) = -6*c(r) + 26*s(r). Solve p(m) = 0.
0, 2/5, 1
Let a(g) be the second derivative of 12*g**5/5 + 6*g**4 - 15*g**3/2 + 3*g**2 + 4*g. Factor a(u).
3*(u + 2)*(4*u - 1)**2
Let d = -172 - -175. What is y in 2/3*y + 0 - y**2 + 2*y**5 + 5/3*y**4 - 2*y**d = 0?
-1, 0, 1/2, 2/3
Let h(n) be the third derivative of -n**5/50 + 17*n**4/20 + 18*n**3/5 - 3*n**2 - 1. Factor h(d).
-6*(d - 18)*(d + 1)/5
Let i = 262 + -259. Factor 4/3*h**i - 4/3*h + 2/3*h**4 - 2/3 + 0*h**2.
2*(h - 1)*(h + 1)**3/3
Factor 0 - 2/3*t**2 + 8/3*t.
-2*t*(t - 4)/3
Suppose -5*s + 35 = 5. Let l be ((-6)/(-10))/(9/s). Let 0 + 2/5*i + l*i**2 = 0. What is i?
-1, 0
Let z = -840/11 + 6753/88. Factor 0*u + 3/8*u**3 + 3/8*u**2 - z*u**4 - 3/8*u**5 + 0.
-3*u**2*(u - 1)*(u + 1)**2/8
Let i(r) be the third derivative of r**9/30240 - r**7/2520 + r**5/240 - r**4/6 - 4*r**2. Let x(j) be the second derivative of i(j). Suppose x(d) = 0. What is d?
-1, 1
Suppose 0 = 5*x - 0 - 20. Let w(b) be the third derivative of 3/10*b**5 + 1/30*b**6 + 0*b + 4/3*b**3 + 0 + b**2 + b**x. Find p, given that w(p) = 0.
-2, -1/2
Let l(a) be the first derivative of 5 + a**4 - 2*a**2 + 4*a - 4/3*a**3. Let l(r) = 0. Calculate r.
-1, 1
Let m(d) be the second derivative of -d**6/2 + 3*d**5/10 + 5*d**4/4 - d**3 + 11*d. Find x such that m(x) = 0.
-1, 0, 2/5, 1
Factor -1 + 3/4*g**2 + g.
(g + 2)*(3*g - 2)/4
Determine h, given that 0 - 8/9*h**2 - 2/9*h**3 + 0*h = 0.
-4, 0
Let u(s) = s**2 - 2*s + 9. Let v be u(0). Let r = 12 - v. Solve 2/9*o**2 - 2/9*o**r + 4/9*o + 0 = 0 for o.
-1, 0, 2
Let g(i) be the second derivative of -3*i**5/25 - 5*i**4/4 - 13*i**3/5 - 3*i**2/2 + 10*i. What is s in g(s) = 0?
-5, -1, -1/4
Let d be (-12)/(-42) + 5 + -5. Suppose 0 + 0*v - 2/7*v**4 - d*v**2 + 4/7*v**3 = 0. Calculate v.
0, 1
What is q in 0*q**2 + 1 - 3/2*q**5 - 5*q**4 - 5*q**3 + 5/2*q = 0?
-1, 2/3
Let j be 4/(2 - (-15)/(-6)). Let q be 2/j + (-3)/(-12). Factor 0*f + 0 + f**2 + q + 1 - 2*f.
(f - 1)**2
Factor -a - 10*a**3 + 11*a - 5 - 461*a**4 + 466*a**4 + 0*a.
5*(a - 1)**3*(a + 1)
Let u(a) = 9*a**4 - 8*a**3 - 5*a**2 + 8*a. Let c(s) = -17*s**4 + 17*s**3 + 9*s**2 - 17*s + 1. Let w(b) = -4*c(b) - 7*u(b). Find q, given that w(q) = 0.
-1, 2/5, 1, 2
Factor -2*u**3 + 0*u + 2*u**4 + 2/3*u**2 - 2/3*u**5 + 0.
-2*u**2*(u - 1)**3/3
Let x(j) be the first derivative of 5*j**3/3 + 10*j**2 + 15*j + 28. Find p such that x(p) = 0.
-3, -1
Let k be (-4)/6*(-6330)/50. Let h = -84 + k. Factor 0*b - h*b**4 - 2/5*b**2 - 4/5*b**3 + 0.
-2*b**2*(b + 1)**2/5
Let c(u) be the first derivative of -1/15*u**5 + 1/9*u**3 + 0*u**2 + 1/12*u**4 - 1/18*u**6 + 1 + 0*u. Solve c(d) = 0.
-1, 0, 1
Let y(z) be the third derivative of -z**9/20160 + z**8/6720 + z**5/12 - 2*z**2. Let i(o) be the third derivative of y(o). Factor i(f).
-3*f**2*(f - 1)
Let v(r) = -r**4 + r**3 - r**2 + r + 1. Let c(l) = -3*l**4 + 30*l**3 - 12*l**2 + 15*l + 15. Let u(x) = -c(x) + 15*v(x). Determine z so that u(z) = 0.
-1, -1/4, 0
Let j(u) be the first derivative of -3*u**5/25 - 3*u**4/20 + u**3 - 9*u**2/10 - 8. Factor j(k).
-3*k*(k - 1)**2*(k + 3)/5
Let i(x) = -15*x**4 + 45*x**3 - 52*x**2 + 8*x + 7. Let n(q) = 10*q**4 - 30*q**3 + 35*q**2 - 5*q - 5. Let g(w) = -5*i(w) - 7*n(w). Suppose g(p) = 0. What is p?
0, 1
Let y be (-3)/18*9 + 58/20. Solve y*o**5 + o**4 + 0 + 4/5*o**2 + 0*o - 16/5*o**3 = 0.
-2, 0, 2/7, 1
Let v = -177 - -1241/7. Suppose -2/7*c**2 - v + 4/7*c = 0. Calculate c.
1
Let z(x) = 3*x**2 - 24*x + 144. Let q(k) = -4*k**2 + 24*k - 144. Let p(o) = 4*q(o) + 6*z(o). Factor p(r).
2*(r - 12)**2
Let s(u) be the second derivative of u**7/840 - u**6/180 + u**5/96 - u**4/96 + u**3/2 + 3*u. Let x(w) be the second derivative of s(w). Factor x(p).
(p - 1)*(2*p - 1)**2/4
Let l(d) be the second derivative of 0*d**3 + 3/70*d**5 + 1/42*d**4 + 1/35*d**6 - d + 0 + 1/147*d**7 + 0*d**2. Factor l(o).
2*o**2*(o + 1)**3/7
Let j be (-144)/(-240) + (88/70 - 1). Factor -3/7*c**2 - 3/7*c + j.
-3*(c - 1)*(c + 2)/7
Let v(o) = -6*o**2 - 4. Let k(r) = -r**2. Let l(t) = 4*k(t) - v(t). Let c(j) = -j**2 + j - 1. Let x = 1 - -3. Let m(b) = x*c(b) + l(b). Factor m(s).
-2*s*(s - 2)
Let l(p) = 2*p**2 - 6*p + 1. Let y(n) = n**2 - 1. Let u(x) = -6*x**2 + x + 4. Let t(w) = u(w) + 5*y(w). Let a = 1 - -2. Let s(z) = a*t(z) + l(z). Factor s(g).
-(g + 1)*(g + 2)
Let k(s) be the third derivative of -1/50*s**5 + 0*s + 0 - 2*s**2 - 1/300*s**6 + 0*s**4 + 4/15*s**3. What is f in k(f) = 0?
-2, 1
Let v(m) be the first derivative of -m - 1/12*m**4 - 2 - 2/3*m**3 - 2*m**2. Let x(n) be the first derivative of v(n). Factor x(j).
-(j + 2)**2
Let d(y) = -7*y - 53. Let f be d(-8). Factor 0 + 0*c**f + 0*c + 2/3*c**4 + 0*c**2.
2*c**4/3
Let i = -31 + 33. Let d(m) be the third derivative of -1/6*m**3 - 1/15*m**5 + 0 + 3*m**i + 0*m + 7/48*m**4 + 1/80*m**6. Factor d(o).
(o - 1)**2*(3*o - 2)/2
Let 0 - 3/4*f**4 + 3/4*f + 9/4*f**3 - 9/4*f**2 = 0. Calculate f.
0, 1
Let l = 1 + 2. Solve 6*a**3 - 6*a**2 - 13*a**l + 5*a**3 - 4*a = 0 for a.
-2, -1, 0
Let q(b) = -21*b - 40. Let k be q(-2). What is r in 3/4 - 3/4*r + 3/4*r**3 - 3/4*r**k = 0?
-1, 1
Let 8/11*c**4 - 2/11*c**5 + 4/11*c**2 - 10/11*c**3 + 0*c + 0 = 0. Calculate c.
0, 1, 2
Suppose -2*a + 84 = -56. Let q be (-18)/63 + 104/a. Factor -q*y**2 + 3/5 + 0*y + 0*y**3 + 3/5*y**4.
3*(y - 1)**2*(y + 1)**2/5
Factor 0 - 3/5*n**2 + 0*n - 3/5*n**4 - 6/5*n**3.
-3*n**2*(n + 1)**2/5
Let s(z) = 5*z**3 - 35*z**2 - 5. Let h(o) = -7*o**3 + 52*o**2 + 8. Let q(b) = -5*h(b) - 8*s(b). Factor q(i).
-5*i**2*(i - 4)
Suppose 5*a - 14 = 11. Let z = -3 + a. Solve -z*i**2 + 1 + 7/2*i = 0 for i.
-1/4, 2
Let p(v) = 3*v**4 + 2*v**2 + 4*v - 5. Let i = 8 - 7. Let r(x) = x**4 + x - 1. Suppose -28 + 8 = 5*d. Let m(z) = d*r(z) + i*p(z). Suppose m(f) = 0. What is f?
-1, 1
Let i(x) be the second derivative of -2*x**7/21 - 2*x**6/5 - 2*x**5/5 - 42*x. Factor i(d).
-4*d**3*(d + 1)*(d + 2)
Let n be 1/(-6) + (-91)/(-42). Factor -1/3*s**n - 1/3*s**3 + 0 + 0*s.
-s**2*(s + 1)/3
Let k(n) be the second derivative of -n**5/4 - 5*n**4/6 - 5*n**3/6 - 10*n. Determine l so that k(l) = 0.
-1, 0
Let p(u) be the third derivative of -4*u**2 + 0 + 1/60*u**4 - 1/150*u**5 + 1/15*u**3 + 0*u - 1/300*u**6. Factor p(g).
-2*(g - 1)*(g + 1)**2/5
Let s be 2 - (-1 + (-78)/(-27)). Let x(k) be the first derivative of -2/27*k**3 + 3 + 0*k - s*k**2. Suppose x(u) = 0. Calculate u.
-1, 0
Let l(g) be the third derivative of g**7/5040 - g**6/360 + g**5/60 - g**4/4 + 6*g**2. Let p(c) be the second derivative of l(c). Factor p(n).
(n - 2)**2/2
Let i = -1 - -3. Factor -3*f**5 - 4*f**3 + i*f**3 + f + 4*f**5.
f*(f - 1)**2*(f + 1)**2
Let s(m) = m**2 - m + 2. Let h(z) = z**2 + 2. Let a(y) = 4*h(y) - 5*s(y). Let c be a(2). Factor -4*u**3 - u + 2*u**2 + 3*u**2 + u**3 - 9*u**c.
-u*(u + 1)*(3*u - 1)**2
Let m(v) be the second derivative of -1/11*v**2 + 0 - 2*v - 1/66*v**4 - 2/33*v**3. Factor m(w).
-2*(w + 1)**2/11
Let q(b) be the first derivative of b**3/7 + 3*b**2/14 - 5. Factor q(r).
3*r*(r + 1)/7
Let v(s) = 9*s**3 - 14*s**2 + 30*s - 25. Let t(a) = -8*a**3 + 14*a**2 - 30*a + 24. Let g(k) = 7*t(k) + 6*v(k). Suppose g(w) = 0. What is w?
1, 3
Suppose 0 - 2/9*p**2 - 2/9*p = 0. What is p?
-1, 0
Let j be (4*(-4)/(-8) - 2) + 2. Factor 0 + 2/7*f + 2/7*f**5 + 0*f**4 - 4/7*f**3 + 0*f**j.
2*f*(f - 1)**2*(f + 1)**2/7
Let i = -4 + 4. Suppose n + 3 - 5 = i. Solve -2*b**4 + b + 2*b**n + 0 + 0 - b**5 = 0 for b.
-1, 0, 1
Let p(x) = -x**5 + 4*x**4 - x**3 - 2*x**2 + 2*x + 2. Let j(z) = 6*z**5 - 21*z**4 + 6*