rivative of -o**4/6 + 10*o**3/9 + 8*o**2/3 + 17*o. Factor p(a).
-2*(a - 4)*(3*a + 2)/3
Let h(m) = -2*m**2 + 8*m. Suppose -3*r = -3*x, -4*r + 21 = x + 1. Let d(b) = -3*b**2 + 9*b. Let l(y) = r*d(y) - 5*h(y). Find w such that l(w) = 0.
-2, 0
Suppose -2*p = -4, -2*p - 3 = -3*f + p. Let u(o) be the second derivative of 1/7*o**f + 1/70*o**5 - 2*o - 1/7*o**2 - 1/14*o**4 + 0. Suppose u(m) = 0. What is m?
1
Let n(z) = z - 1. Let y(p) = 4*p**2 - 14*p + 26. Let w(j) = 10*n(j) - y(j). Factor w(t).
-4*(t - 3)**2
Let p(s) be the third derivative of -s**5/80 + s**4/32 - 5*s**2. Determine b, given that p(b) = 0.
0, 1
Suppose 0*h - 5*h + 3*b = 20, 5*b - 27 = 2*h. Let x = 3 + h. Find d such that -d + d - d**x - d = 0.
-1, 0
Let q(w) be the first derivative of -21*w**4 + w**3 + 3*w**2 - 6. Suppose q(r) = 0. What is r?
-1/4, 0, 2/7
Let u(p) be the first derivative of 2*p**5/55 + 3*p**4/11 + 6*p**3/11 - 4*p**2/11 - 24*p/11 - 27. Suppose u(i) = 0. What is i?
-3, -2, 1
Determine w, given that -4 + 7*w + 16*w**2 + 2*w**3 + w - 4*w**2 - 7*w**4 + 9*w**2 = 0.
-1, 2/7, 2
Let u be 0 - ((-35)/(-30))/(-7). Let h(n) be the first derivative of 3 - 1/9*n**3 - 1/12*n**4 + 1/3*n + u*n**2. Determine i so that h(i) = 0.
-1, 1
Let r be (-1)/(-1) + 2 + 0. Let j be (-3)/((3 + 1)/(-4)). Determine c so that 9*c**r - 6*c**3 - 5*c**j + 2*c**4 = 0.
0, 1
Let p(s) = s**3 + 3*s**2 + 2*s + 4. Let n be p(-2). Let y(u) be the second derivative of -u**2 + 0 + 2/3*u**3 - 1/6*u**n + 3*u. Factor y(i).
-2*(i - 1)**2
Let r be 209/66 - 5/30. Determine b, given that 9 - 6*b**2 + 0*b - 1/3*b**4 + 8/3*b**r = 0.
-1, 3
Let n(b) be the second derivative of -b**6/180 + b**5/90 + b**4/18 - 3*b**2/2 + 6*b. Let d(y) be the first derivative of n(y). Factor d(c).
-2*c*(c - 2)*(c + 1)/3
Let r(u) = -u**3 + 8*u**2 + 8*u + 12. Let b be r(9). Factor -b*a**3 + a - 3*a - 12*a**2 + 3*a**2 - 4*a**3.
-a*(a + 1)*(7*a + 2)
Let c(v) = -v**3 - 3*v**2 + v + 3. Let f be c(-3). Let o(u) be the third derivative of 0*u + f + u**2 + 1/120*u**5 + 0*u**3 + 1/48*u**4. Factor o(l).
l*(l + 1)/2
Let r(y) = -y**4 - y**3 + y**2 + y - 1. Let m = 5 - 1. Let z(a) = -a**m - 2 + 2*a**2 - a**2 - a**3 + 3*a - 2*a**3. Let x(v) = -2*r(v) + z(v). Factor x(b).
b*(b - 1)**2*(b + 1)
Let s be ((-2)/14)/(2/(-4)). Let f = -435 + 440. Factor -2/7*l**f + 4/7*l**2 - 2/7 - s*l + 4/7*l**3 - 2/7*l**4.
-2*(l - 1)**2*(l + 1)**3/7
Let n(y) = -y**3 - 4*y**2 - 2*y - 4. Let j be n(-4). Suppose -2*i - 19 = -5*u - 8, -4*u = j*i - 20. Let 8/5 - 2/5*f**u + 0*f - 6/5*f**2 = 0. What is f?
-2, 1
Factor 18/5*f**2 - 54/5*f + 54/5 - 2/5*f**3.
-2*(f - 3)**3/5
Let c(p) = p + 9. Let n be c(-6). Let y(s) be the first derivative of 1 - 14/27*s**n - 1/6*s**4 - 5/9*s**2 - 2/9*s. Let y(r) = 0. Calculate r.
-1, -1/3
Let i = -200 + 362. Let a be 4/(-22) + i/165. Determine o so that 2/5*o**2 - a*o + 0 = 0.
0, 2
Let y = -10 + 13. Suppose -2*z - 8 = 0, -5*f - y*z = -z - 2. Factor 0 + 0*k**3 + 0*k**f + 0*k + 2/3*k**4.
2*k**4/3
Let j = 1/45 + 1/5. Factor -j*h**2 - 4/9*h - 2/9.
-2*(h + 1)**2/9
Let s(o) be the second derivative of 0 - 6*o - 1/48*o**4 + 0*o**2 - 1/24*o**3. What is x in s(x) = 0?
-1, 0
Let 10*z**3 - z**5 + 15*z**2 + 4*z**3 + 3*z**5 + 10*z**4 - 9*z**2 = 0. What is z?
-3, -1, 0
Let h be (-4 - 34/(-4)) + -3. What is a in -3/2*a + h*a**2 - 1/2*a**3 + 1/2 = 0?
1
Let w(m) be the second derivative of m**6/75 - 7*m**5/50 + m**4/2 - 3*m**3/5 + 8*m. Solve w(r) = 0 for r.
0, 1, 3
Suppose 34 = 4*l - 10. Let h(q) be the first derivative of 2 + 14*q**3 - l*q**2 + 2*q**5 + 4*q - 17/2*q**4. Factor h(j).
2*(j - 1)**3*(5*j - 2)
Let t(k) = -k**4 - 11*k**3 + 3*k**2 + 5*k + 1. Let o(l) = -l**4 + l**3 - l**2 + l + 1. Let j(z) = 3*o(z) + t(z). Let j(a) = 0. What is a?
-1, 1
What is a in -4*a + 0*a**2 + 1/4*a**4 + a**3 - 4 = 0?
-2, 2
Let x(a) be the first derivative of 0*a - 1/6*a**5 - 2 + 0*a**3 + 1/2*a**2 - 1/12*a**4. Let r(k) be the second derivative of x(k). Determine h so that r(h) = 0.
-1/5, 0
Let w(h) = -4*h**2 + 17*h + 3. Let o(c) = c**2 - 4*c - 1. Let i(r) = 9*o(r) + 2*w(r). Suppose i(v) = 0. Calculate v.
-1, 3
Let i(v) be the first derivative of v**3/3 - 3*v**2 + 9*v - 8. Factor i(n).
(n - 3)**2
Suppose 5*o + 16 - 66 = 0. Suppose -o = -4*p - p. Solve 0*r + 1/4*r**p + 0 = 0.
0
Suppose 0 = 5*f - 20, 0*k + 4*f - 19 = -k. Factor y**4 - 3*y**3 + 2*y + k*y**3 - 2*y**5 + 4*y**2 - 5*y**4.
-2*y*(y - 1)*(y + 1)**3
Suppose 17 = -5*k + 37. Suppose 0 = -0*z - k*z + 8. Solve 1/5*u**z + 2/5*u + 0 = 0.
-2, 0
Determine v so that -4/13*v**2 + 2/13 - 2/13*v = 0.
-1, 1/2
Suppose f = -0*f + 3. Factor m**3 - 2*m**2 + 4*m**2 + 3*m**f - 6*m**3 + 2*m - 2*m**4.
-2*m*(m - 1)*(m + 1)**2
Let d(g) = g**2 + 11*g + 12. Let o be d(-10). Factor -4*b - 3 + 4 + 2*b**o + 1 + 0.
2*(b - 1)**2
Let p be (-1 - 1)/((-1)/2). Suppose 0 = 3*z - z - p. Solve 2*n**2 - 2*n**3 - 1 + 4*n**2 - 1 + z*n - 4*n**4 = 0.
-1, 1/2, 1
Let s(m) be the second derivative of -m**4/6 + 3*m**3 - 8*m**2 + 13*m. Let s(o) = 0. Calculate o.
1, 8
Find r such that -1/3*r**3 - 2/3 - 5/3*r - 4/3*r**2 = 0.
-2, -1
Let w(d) be the third derivative of -d**8/10080 - d**7/15120 + d**6/1080 + d**5/720 - d**4/6 - 4*d**2. Let k(l) be the second derivative of w(l). Factor k(z).
-(z - 1)*(z + 1)*(4*z + 1)/6
Let 2*o**2 + 0*o - 3/2*o**4 + 0 + 1/2*o**5 + 0*o**3 = 0. Calculate o.
-1, 0, 2
Let v(s) be the second derivative of 0*s**2 + s + 0 + 1/3*s**4 + 0*s**3 + 14/15*s**6 - 11/10*s**5. Factor v(o).
2*o**2*(2*o - 1)*(7*o - 2)
Let w(y) be the third derivative of y**11/1164240 - y**9/211680 - y**5/20 - y**2. Let p(d) be the third derivative of w(d). Let p(u) = 0. What is u?
-1, 0, 1
Let y = -5/36 - -29/36. Factor -y + 5/3*p + 7/3*p**2.
(p + 1)*(7*p - 2)/3
Let l(i) be the first derivative of 5*i**4 - 155*i**3/3 + 140*i**2 + 80*i + 6. Find b, given that l(b) = 0.
-1/4, 4
Factor -4*i**4 - i**4 + 4*i**4 + i**2.
-i**2*(i - 1)*(i + 1)
Let b(o) be the first derivative of o**5/10 + 3*o**4/8 - o**3/6 - 3*o**2/4 - 36. Let b(s) = 0. Calculate s.
-3, -1, 0, 1
Let x(c) be the third derivative of -c**8/70560 - c**7/2940 - c**6/280 + c**5/10 - c**2. Let g(a) be the third derivative of x(a). Solve g(k) = 0.
-3
Factor 0 + 0*f**2 + 4/3*f**3 + 2/3*f**4 + 0*f - 2/3*f**5.
-2*f**3*(f - 2)*(f + 1)/3
Suppose 0 = -2*v - v. Let i(h) be the third derivative of 0*h + 0*h**3 + v + 1/90*h**5 - 2*h**2 + 1/360*h**6 + 1/72*h**4. Factor i(o).
o*(o + 1)**2/3
Let o(w) be the first derivative of 2*w**5/5 - 2. Solve o(q) = 0 for q.
0
Let k(p) = p + 3. Let g be k(-1). Factor 0 - 10*d - 2*d**g - 4 + 1 - 5.
-2*(d + 1)*(d + 4)
Factor -5/2*u - 5*u**3 + 5*u**2 + 1/2 + 5/2*u**4 - 1/2*u**5.
-(u - 1)**5/2
Let m = -17 + 20. Find j, given that -4/3*j + 0 - 1/3*j**m - 4/3*j**2 = 0.
-2, 0
Factor 24/5*h + 32/5 + 4/5*h**2.
4*(h + 2)*(h + 4)/5
Suppose 3*g + 0 = 6. Let a(t) = t**3 + 3*t**2 + 3. Let v be a(-3). Factor s + s**g - 2*s**2 - 1 - v*s.
-(s + 1)**2
Let r be (-10)/15 + 142/24. Suppose -3 + 39/4*x**3 + 15*x - 93/4*x**2 - 15/4*x**5 + r*x**4 = 0. Calculate x.
-2, 2/5, 1
Let o(d) be the first derivative of d**3/15 + 2*d**2/5 + 4*d/5 - 22. Factor o(l).
(l + 2)**2/5
Let i(l) be the second derivative of l**6/30 + l**5/20 + 6*l. Factor i(w).
w**3*(w + 1)
Let m(r) = r**5 - r. Let b(o) = 8*o**3 - 8*o. Let y(u) = b(u) - 4*m(u). Factor y(h).
-4*h*(h - 1)**2*(h + 1)**2
Let c = 4 - 3. Let d be (c/3)/(7 - 6). Factor -1/3*f**2 + 0*f + 1/3*f**3 + d*f**4 + 0 - 1/3*f**5.
-f**2*(f - 1)**2*(f + 1)/3
Let i = -144 - -722/5. Find n such that i*n**3 + 0*n**2 + 2/5*n**5 + 0*n + 0 - 4/5*n**4 = 0.
0, 1
Let z(t) be the third derivative of t**8/126 + 2*t**7/105 - t**5/45 - 16*t**2. Factor z(s).
4*s**2*(s + 1)**2*(2*s - 1)/3
Let r(i) be the first derivative of -i**4/4 + 3*i**3/2 - 3*i**2 + 2*i + 3. Let j(o) be the first derivative of r(o). Factor j(t).
-3*(t - 2)*(t - 1)
Factor -6/5*l**3 + 0*l + 0 + 2/5*l**2 - 8/5*l**4.
-2*l**2*(l + 1)*(4*l - 1)/5
Let b(c) be the first derivative of c**6/3 + 4*c**5/5 - 4*c**3/3 - c**2 - 9. What is n in b(n) = 0?
-1, 0, 1
Let d(l) be the second derivative of -1/35*l**5 + 0 + 1/105*l**6 + 1/147*l**7 + 1/21*l**3 + l - 1/21*l**4 + 1/7*l**2. Factor d(g).
2*(g - 1)**2*(g + 1)**3/7
Let s(p) be the first derivative of 2/25*p**5 + 0*p**2 + 2 + 0*p + 0*p**4 + 0*p**3. Factor s(n).
2*n**4/5
Let o(m) be the second derivative of -m**4/