5*r**2 - 5*r**3 - 4*r.
r*(r - 1)*(r + 1)*(5*r - 2)
Let w(u) = -u**3 + u**2 - u. Let q(n) = 10*n**3 - 6*n**2 + 11*n. Let s(m) = -4*q(m) - 44*w(m). Solve s(c) = 0.
0, 5
Let t = 9 - 6. Let g be 5 + ((-9)/t)/1. Factor 5/2*k + 1/2*k**3 - 2*k**g - 1.
(k - 2)*(k - 1)**2/2
Let p(z) be the second derivative of -z**4/8 - 7*z**3 - 147*z**2 + 3*z - 11. Determine k, given that p(k) = 0.
-14
Let m = -453 + 655. Suppose 2*c - 6*c + 3*w + m = 0, -10 = 5*w. Factor -70*l**4 - 3*l**3 + 11*l**2 + c*l**5 + 8*l**2 + 4*l + l**2.
l*(l - 1)**2*(7*l + 2)**2
Let k = -35 - -41. Let s(t) be the third derivative of 0*t**5 + 1/480*t**k + 0*t**4 + 0 + 0*t + 0*t**3 + 1/1344*t**8 - 3*t**2 - 1/420*t**7. Factor s(v).
v**3*(v - 1)**2/4
Let k = 6 - 6. Suppose 2*r + k*r = 0. Factor r*l**3 + 0 + 0*l + 1/2*l**4 - 1/2*l**2.
l**2*(l - 1)*(l + 1)/2
Let x(n) be the first derivative of -n**7/210 - n**6/120 + n**5/60 + n**4/24 + 3*n**2/2 - 2. Let s(t) be the second derivative of x(t). Factor s(p).
-p*(p - 1)*(p + 1)**2
Let k(y) = -y**3 - 6*y**2 + 5*y - 4. Let u(h) = 3*h**3 + 13*h**2 - 10*h + 9. Let x(b) = -5*k(b) - 2*u(b). Find v, given that x(v) = 0.
1, 2
Let j(o) = 4*o**4 - 12*o**3 + 13*o**2 + 36*o - 20. Let u(l) = -l**4 + 4*l**3 - 4*l**2 - 12*l + 7. Let d(w) = -2*j(w) - 7*u(w). Factor d(f).
-(f - 1)**2*(f + 3)**2
Let q be (6/3)/1 - 0. Determine o so that q*o**4 - o**4 - 3*o**5 + 2*o**5 = 0.
0, 1
Let t be 8/8 + (-8)/(-2). Factor 17*r**2 + r**2 - t*r**3 + 14*r + 4 + 15*r**3 + 2*r**4.
2*(r + 1)**3*(r + 2)
Let w(q) be the first derivative of q**6/30 - 4*q**5/25 + 3*q**4/10 - 4*q**3/15 + q**2/10 - 20. Factor w(i).
i*(i - 1)**4/5
Let y(o) = 4*o**2 + o - 2. Let s be y(1). Let j(a) be the first derivative of 0*a**s + 0*a**2 + 1 + 0*a**4 + 1/12*a**6 + 0*a + 1/10*a**5. Factor j(v).
v**4*(v + 1)/2
Let q(i) be the first derivative of 0*i**4 + 0*i**3 + 0*i**2 - i + 1/50*i**5 + 0*i**6 - 2 - 1/105*i**7. Let h(y) be the first derivative of q(y). Factor h(o).
-2*o**3*(o - 1)*(o + 1)/5
Let i(f) be the third derivative of -f**5/15 - f**4/3 + 2*f**3 - 15*f**2. Suppose i(u) = 0. What is u?
-3, 1
Let g(h) be the second derivative of h**7/840 - h**6/120 + h**5/40 + h**4/12 - 3*h. Let t(p) be the third derivative of g(p). What is k in t(k) = 0?
1
Let j(l) be the second derivative of 0 + 1/80*l**5 - 4*l + l**2 - 1/480*l**6 + 0*l**3 - 1/48*l**4. Let n(z) be the first derivative of j(z). Factor n(y).
-y*(y - 2)*(y - 1)/4
Let h(w) = w**5 + w**3 + w**2 + w. Let s(a) = 12*a**5 + 3*a**4 + 14*a**3 + 12*a**2 + 11*a. Let t(c) = 44*h(c) - 4*s(c). Find u such that t(u) = 0.
-1, 0
Let g(c) = -2*c**3 - 4*c**2 - 2. Let l(w) = 4*w**3 + 9*w**2 + 5. Suppose -2 = 3*y + 4. Let f(u) = y*l(u) - 5*g(u). Find h, given that f(h) = 0.
-1, 0
Let i(p) be the first derivative of -p**5/5 - p**4/2 + p**2 + p + 4. Factor i(n).
-(n - 1)*(n + 1)**3
Suppose 0 = -7*g - 19 + 33. Find v such that -1/3*v**g + 0*v + 0 = 0.
0
Let m(o) be the first derivative of o**3/3 - o + 6. Determine j so that m(j) = 0.
-1, 1
Factor 1/2*n**2 - 2*n - 5/2.
(n - 5)*(n + 1)/2
Let d be (2 + -4)*12/(-16). Find h such that 3/2*h**4 - 1/2*h**5 + 1/2*h**2 + 0 + 0*h - d*h**3 = 0.
0, 1
Suppose -5*n + 4 = 2*t - 0*n, -t = n - 2. Suppose 0*a + 2/7*a**3 + 0 - 2/7*a**t = 0. Calculate a.
0, 1
Let g(o) = -o**2 - o + 2. Let k(h) be the second derivative of -h**4/6 - h**3/3 + 5*h**2/2 - 4*h. Let v(r) = 5*g(r) - 2*k(r). Solve v(q) = 0.
-1, 0
Let f(p) be the first derivative of p**7/63 - 2*p**6/45 + p**5/90 + p**4/18 - 3*p**2/2 - 7. Let l(u) be the second derivative of f(u). What is w in l(w) = 0?
-2/5, 0, 1
Let w(h) = -3*h**3 - h**2 + h + 1. Let n be w(-1). Let 4*l + 3 + 5*l**2 - 2*l**n - 1 - l**2 = 0. Calculate l.
-1
Let v = 14 + -27/2. Find i, given that -1/2*i + 1/2*i**3 - v*i**2 + 1/2 = 0.
-1, 1
Suppose -5*v - p = 153, 66 = -4*v + 2*v - 2*p. Let b be (18/(-15))/(9/v). Suppose -y**2 - y**b - 9*y**3 + 0*y**2 + y + 2*y**4 + 8*y**3 = 0. Calculate y.
-1, 0, 1
Let g = 30 + -179/6. Let m(k) be the second derivative of -2/3*k**3 - g*k**4 - k**2 - k + 0. Solve m(u) = 0.
-1
Factor -5*v + 5*v**3 - 34*v**2 + 17*v + 6*v**2 + 15*v**3 - 4*v**4.
-4*v*(v - 3)*(v - 1)**2
Factor -4*h**2 - 56*h - 8*h - h**2 + h**2 - 256.
-4*(h + 8)**2
Let c be 0 - (-9 + 3 + 3). Let 3/2*t**2 + 2 - c*t - 1/4*t**3 = 0. Calculate t.
2
Let o = -16 + 22. What is w in -w**3 - o*w**4 - w**4 + 0*w**3 - 11*w**2 + 17*w**3 + 2*w = 0?
0, 2/7, 1
Let f = -11 + 12. Let z be 2/f - (-8)/(-5). Factor 4/5*m - 2/5 - z*m**2.
-2*(m - 1)**2/5
Suppose 0 = -3*m + 3*u + 39, 4*m - 2*u = 5 + 53. Let a = m + -11. Let 4*s + 1 - 4*s + 2*s - a + 2*s**2 = 0. What is s?
-2, 1
What is r in 7/3*r**3 + 17/3*r**2 + 13/3*r + 1 = 0?
-1, -3/7
Suppose z = 6*z. Let r(q) be the third derivative of 1/60*q**5 + 0*q**4 + 0*q - q**2 + 0 + z*q**3 + 1/120*q**6. Find x such that r(x) = 0.
-1, 0
Let m(b) = 4*b - 16. Let j be m(6). Determine t, given that -8*t**2 - j*t - t**3 + 2 - 2*t - 6 - t**3 = 0.
-2, -1
Let x be -5 + (-1 - 9/(18/(-16))). Let t be 1*2/(-8) - -1. Determine z, given that -3/2 - t*z**x + 9/4*z = 0.
1, 2
Let f(i) be the second derivative of 2*i**7/21 + 2*i**6/5 + 2*i**5/5 + i. Solve f(x) = 0 for x.
-2, -1, 0
Let k = -8 + 15. Let f(y) = -4*y**4 + 4*y**3 + 12*y**2 - 4*y - 8. Let s(a) = -4*a**4 + 4*a**3 + 12*a**2 - 4*a - 8. Let m(n) = k*f(n) - 6*s(n). Factor m(v).
-4*(v - 2)*(v - 1)*(v + 1)**2
Let z = 218 + -215. Factor 0 - 1/2*g**z + 0*g - 1/4*g**4 + 0*g**2.
-g**3*(g + 2)/4
Let o(i) = 15 + 3*i**2 - 16 + 4*i + 2*i**2 - 3*i**2. Let s be o(-3). Factor -2/3*n**2 + 0 + 2/3*n**4 - 1/3*n + 1/3*n**s + 0*n**3.
n*(n - 1)*(n + 1)**3/3
Let i = 17/49 + -2/147. Factor 2/3*k - k**3 + i*k**2 + 0.
-k*(k - 1)*(3*k + 2)/3
Let d = 14 + -12. Factor -3/2*f**d + 3/2*f + 0.
-3*f*(f - 1)/2
Let h(g) be the first derivative of 20*g**3/3 + 5*g**2/2 - 15*g - 27. Suppose h(u) = 0. Calculate u.
-1, 3/4
Let s(g) = -6*g - 32. Let m be s(-6). Factor -2/3*c**m + 2/3*c**2 + 4/3*c**3 - 4/3*c + 0.
-2*c*(c - 2)*(c - 1)*(c + 1)/3
Let v(u) = u**2 + 17*u + 72. Let f be v(-10). Factor 0*y + 2/5 - 2/5*y**f.
-2*(y - 1)*(y + 1)/5
Let n(s) be the second derivative of 0 + 3/10*s**5 - 1/4*s**4 + 1/28*s**7 + 0*s**2 - 1/6*s**6 + 3*s + 1/12*s**3. Let n(m) = 0. What is m?
0, 1/3, 1
Find z such that 2*z + 0 - 2/3*z**2 = 0.
0, 3
Let q(f) be the second derivative of 7*f + 243/4*f**2 + 1/20*f**6 - 9/10*f**5 + 27/4*f**4 + 0 - 27*f**3. Let q(i) = 0. Calculate i.
3
Let l(u) be the second derivative of u**6/20 - 9*u**5/80 + 6*u. Suppose l(y) = 0. Calculate y.
0, 3/2
Let -5*f**2 + 0*f + 17*f**2 - 2*f**3 - 18*f = 0. What is f?
0, 3
Let y = 1519/5 - 303. Factor 2/5*d**4 - 6/5*d**2 + 8/5*d - y*d**3 + 8/5.
2*(d - 2)**2*(d + 1)**2/5
Let k(q) = 3*q**5 - 12*q**4 + 8*q**3 + 9*q**2 - 12*q + 3. Let f(m) = m**5 - m**2 + 1. Let s(w) = f(w) + k(w). Suppose s(d) = 0. What is d?
-1, 1
Let o(r) = -48*r**2 + 42*r - 48. Let i(a) = 7*a**2 - 6*a + 7. Let q(t) = 27*i(t) + 4*o(t). Factor q(b).
-3*(b - 1)**2
Factor 0 + 0*g - 1/3*g**4 + 0*g**2 + g**3.
-g**3*(g - 3)/3
Let a(n) be the first derivative of n**7/21 - n**6/15 - n**5/10 + n**4/6 + n + 5. Let l(o) be the first derivative of a(o). Find i, given that l(i) = 0.
-1, 0, 1
Factor 3*b**2 + 2 + 13*b**2 - 36*b + 6.
4*(b - 2)*(4*b - 1)
Let s(a) be the third derivative of -a**7/2520 - a**6/360 - a**5/120 + a**4/8 - 2*a**2. Let n(f) be the second derivative of s(f). Factor n(d).
-(d + 1)**2
Factor 5*n - 9*n**3 + 2*n**3 - 3 - n**2 + 6*n**3.
-(n - 1)**2*(n + 3)
Let k(i) be the second derivative of i**6/30 + i**5/20 - i**4/12 - i**3/6 - 7*i. Factor k(d).
d*(d - 1)*(d + 1)**2
Let d be (-2)/42*21/(-6). Let y(a) be the first derivative of -1/3*a**3 + 0*a**2 - 3/5*a**5 + d*a**6 + 0*a + 3/4*a**4 + 3. What is c in y(c) = 0?
0, 1
Factor -15/2*a**3 + 15/2*a**2 + 0 - 5/2*a + 5/2*a**4.
5*a*(a - 1)**3/2
Let j be 2/5*4/10. Let l = j + 17/50. Factor -9/4*k - l + 7/4*k**4 - 5/4*k**2 + 9/4*k**3.
(k - 1)*(k + 1)**2*(7*k + 2)/4
Factor 20/7*w**3 + 72/7 + 120/7*w + 74/7*w**2 + 2/7*w**4.
2*(w + 2)**2*(w + 3)**2/7
Let m(h) be the first derivative of -6 - 12/5*h**5 - 10/3*h**6 + 7*h**4 - 4*h**2 + 0*h + 4*h**3. Let m(n) = 0. Calculate n.
-1, 0, 2/5, 1
Suppose 27/7*r + 3/7*r**5 - 18/7*r**4 - 6/7 - 48/7*r**2 + 6*r**3 = 0. Calculate r.
1, 2
Suppose 5*o - 11 + 1 = 0. Suppose 6 + 0 = o*j. Factor -m**2 + j*m**2 - 3*m +