9*l**4 + l**3 + 8*l**2 - 5*l - 5. Let v(h) = 24*m(h) + 5*t(h). Factor v(w).
4*w**2*(w - 1)*(w + 2)
Let u(y) be the second derivative of 5/24*y**3 - y - 7/48*y**4 - 1/8*y**2 + 0 + 3/80*y**5. Factor u(k).
(k - 1)**2*(3*k - 1)/4
Factor -r**2 - 16 + 26 - 2*r**2 - 5*r - 2*r**2.
-5*(r - 1)*(r + 2)
Let r(g) = -37*g. Let z be r(-3). Suppose z*b**3 - 72*b**2 + 17 + 12*b + 12*b**5 - 17 - 63*b**4 = 0. Calculate b.
0, 1/4, 1, 2
Let u(c) = 3*c - 3. Let q be u(2). Factor 5*s**2 + 0 - 2 + 0 - q*s**2.
2*(s - 1)*(s + 1)
Let d = 17 + -67/4. Let i = 114 + -112. Find q such that -1/4*q**3 - d*q + 1/2*q**i + 0 = 0.
0, 1
Let q(l) = -2*l**3 - 5*l**2 - l + 4. Let g be q(-3). Suppose 4*h + 16 = -8*r + 3*r, 4*h = -r - g. Solve r*d**3 + 2/3*d**4 - 4/3*d**2 + 0*d + 2/3 = 0.
-1, 1
Let p = 5 - 3. Let j be p/(-11) + 40/99. Determine h so that 2/9*h**2 + 2/9*h - j - 2/9*h**3 = 0.
-1, 1
Let q(j) be the second derivative of -j**7/42 - j**6/10 + j**5/10 + j**4/2 - j**3/6 - 3*j**2/2 - 39*j. Factor q(p).
-(p - 1)**2*(p + 1)**2*(p + 3)
Determine g, given that -2/5*g**4 + 0 + 8/5*g**3 + 4/5*g - 2*g**2 = 0.
0, 1, 2
Let b(u) be the third derivative of u**7/490 + u**6/140 - 3*u**5/140 - u**4/7 - 2*u**3/7 - 7*u**2. Factor b(g).
3*(g - 2)*(g + 1)**2*(g + 2)/7
Suppose -5*h - 10 = 0, -9*l + 5*l - 5*h + 2 = 0. Let d(f) = f**2 + 7*f + 2. Let s be d(-7). Factor -2*z**4 - s*z**3 + 3*z**5 - 4*z**l + 5*z**4.
3*z**3*(z - 1)*(z + 2)
Find c such that -4/7*c**3 + 24/7*c**4 - 64/7*c - 4/7*c**5 - 96/7*c**2 + 0 = 0.
-1, 0, 4
Let m(q) be the second derivative of 1/6*q**2 - 3*q + 1/9*q**3 + 0 + 1/36*q**4. Factor m(i).
(i + 1)**2/3
Let k(t) = 55*t. Let h be k(-2). Let y = -547/5 - h. Factor 0 + x**4 + 0*x - 1/5*x**2 - y*x**5 - 1/5*x**3.
-x**2*(x - 1)**2*(3*x + 1)/5
Let u(b) = 6*b. Let t be u(1). Suppose 3*d + z = 7, 4*z = -3*d + 2*z + 8. Find x, given that -2*x**2 - 4*x + d*x**4 + 6*x - 10*x**3 + t*x**5 + 2*x = 0.
-1, 0, 2/3, 1
Let f(j) = -j + 1. Suppose 0 = 4*d + 4 + 4. Let w be f(d). Find b such that -3*b - b - w*b**2 + b = 0.
-1, 0
Let m(y) = 9*y - 430. Let s be m(48). Factor 0*l**3 + 0*l + 1/4*l**4 - 1/2*l**s + 1/4.
(l - 1)**2*(l + 1)**2/4
Determine r so that 0 + 0*r + 1/4*r**2 = 0.
0
Let r be ((-6)/8)/(3*6/(-12)). Factor 0*j**2 - j**3 + r - 1/2*j**4 + j.
-(j - 1)*(j + 1)**3/2
Let j(b) be the second derivative of b**5/50 + b**4/10 + 7*b. Determine h, given that j(h) = 0.
-3, 0
Let k(o) be the third derivative of -1/35*o**7 - 1/30*o**5 + 0 + 0*o + 1/20*o**6 + 0*o**3 + 5*o**2 + 0*o**4 + 1/168*o**8. Factor k(p).
2*p**2*(p - 1)**3
Let b(z) be the first derivative of z**8/840 + z**7/420 - z**6/180 - z**5/60 - 2*z**3/3 - 1. Let d(p) be the third derivative of b(p). What is u in d(u) = 0?
-1, 0, 1
Let l(p) = -5*p**2 + 5*p + 4. Let d(b) = -4*b**2 + 5*b + 4. Let c(q) = 6*d(q) - 5*l(q). Suppose c(h) = 0. Calculate h.
-4, -1
Let z(r) = 3*r**4 - 3*r**3 - 3*r**2 + 3*r + 4. Let j(l) = 4*l**4 - 3*l**3 - 3*l**2 + 4*l + 5. Let x(k) = -4*j(k) + 5*z(k). Find y, given that x(y) = 0.
-1, 0
Suppose 2*r - g = 11, -4*r = -9*r - 5*g - 10. Let n(j) be the second derivative of 7*j**5 + 1/2*j**4 - 49/15*j**6 + 3*j - 4*j**2 + 0 - 20/3*j**r. Factor n(v).
-2*(v - 1)**2*(7*v + 2)**2
Let a(g) = 0*g + 2 - 3*g + 4*g + 8. Let w be a(-8). Find f such that -f - 3*f**3 - w*f**2 + 2*f**3 + 0*f = 0.
-1, 0
Factor -2*z - 4/3*z**2 + 2*z**4 + 2/3*z**5 + 4/3*z**3 - 2/3.
2*(z - 1)*(z + 1)**4/3
Let h(p) be the third derivative of -p**6/40 + 9*p**5/20 - 27*p**4/8 + 27*p**3/2 - 2*p**2. Determine z so that h(z) = 0.
3
Let d be (-24)/14*(-7)/2. Let t = -185 + 188. Factor 3/2*p**t + d + 12*p + 15/2*p**2.
3*(p + 1)*(p + 2)**2/2
Let l be 20/8 + -4 + 3. Factor l + 1/6*p**2 + p.
(p + 3)**2/6
Suppose -4/5*m + 4/5*m**3 - 2/5*m**4 + 0*m**2 + 2/5 = 0. What is m?
-1, 1
Let i(j) = -j + 3. Let p be i(-3). Let z be p/8*6/9. Find s such that z - 7/4*s + 2*s**2 - 3/4*s**3 = 0.
2/3, 1
Let z(c) be the first derivative of c**6/150 - 3*c**5/100 + c**4/20 - c**3/30 - 4*c + 2. Let b(p) be the first derivative of z(p). Factor b(v).
v*(v - 1)**3/5
Let z be (-1)/4 + 21/36. Let j(s) be the second derivative of -1/36*s**4 + z*s**2 - 1/18*s**3 + 0 + s. What is k in j(k) = 0?
-2, 1
Let x(s) be the second derivative of 1/84*s**4 - 1/210*s**6 - 4*s + 0*s**2 + 0*s**5 + 0*s**3 + 0. Factor x(b).
-b**2*(b - 1)*(b + 1)/7
Solve -33/2*n + 363/4 + 3/4*n**2 = 0.
11
Let y(s) be the second derivative of -s**4/8 - s**3/4 + 3*s**2/2 + 3*s. Factor y(g).
-3*(g - 1)*(g + 2)/2
Let a(d) = -10*d**3 + 295*d**2 - 2995*d + 10005. Let y(f) = -5*f**3 + 148*f**2 - 1498*f + 5002. Let o(u) = 2*a(u) - 5*y(u). Factor o(s).
5*(s - 10)**3
Suppose 3/2*y**4 - 9/2 - 3/2*y**5 + 33/2*y + 9*y**3 - 21*y**2 = 0. What is y?
-3, 1
What is y in -4/9*y**4 + 0*y**3 + 0*y**2 + 0*y + 0 - 4/9*y**5 = 0?
-1, 0
Let h(s) be the first derivative of 1/15*s**3 + 1/10*s**2 + 5 + 0*s. Factor h(j).
j*(j + 1)/5
Let y be (-2)/((-7)/((-35)/(-2))). Suppose -4*x + y*x = 0. Find s such that 1/2*s**2 - 1/2*s + x - 1/2*s**4 + 1/2*s**3 = 0.
-1, 0, 1
Suppose v + 3 = 2*v. Factor -5*s**4 + 0*s**5 + v*s**4 - 4*s**4 + 3*s**5.
3*s**4*(s - 2)
Let j(p) = -2*p**2. Let g(i) = i**4 - i**3 + i. Let f(b) = -2*g(b) - j(b). Factor f(r).
-2*r*(r - 1)**2*(r + 1)
Let i(l) = 2*l**2 - 12*l + 24. Let t(g) = -2*g. Let h(u) = -i(u) - 2*t(u). Let h(d) = 0. Calculate d.
2, 6
Let m(x) be the second derivative of -x**4/3 - 2*x**3 - 5*x. Factor m(w).
-4*w*(w + 3)
Suppose 4*q - 20 = 0, -4*b = 4*q - q - 23. Suppose 3/4*s**b + 0 - 9/4*s = 0. What is s?
0, 3
Let p = -119 + 1073/9. Find s, given that -2/9 + 0*s + p*s**2 = 0.
-1, 1
Let p(k) be the first derivative of -k**7/14 + k**6/10 + 3*k**5/20 - k**4/4 - 2*k + 1. Let i(o) be the first derivative of p(o). Factor i(s).
-3*s**2*(s - 1)**2*(s + 1)
Let k(z) be the first derivative of -5/2*z**2 + 5/4*z**4 - 1 + 2/3*z**3 - 2*z. Suppose k(b) = 0. Calculate b.
-1, -2/5, 1
Let p = -8 + 12. Suppose p*f = 6*f - 4. Factor -5*z**2 + 4*z**f - z - z.
-z*(z + 2)
What is i in 1/2 - i**3 + 1/2*i**4 + 1/2*i - i**2 + 1/2*i**5 = 0?
-1, 1
Let q(v) be the first derivative of 2*v**5/5 - v**4 - 2*v**3/3 + 2*v**2 - 1. Determine n, given that q(n) = 0.
-1, 0, 1, 2
Let a = -16 - -26. Let l be 34/a - (3 + 0). Factor -6/5*s**2 - 4/5 + 2/5*s**4 - l*s**3 + 2*s.
2*(s - 1)**3*(s + 2)/5
Let s be -2 - -3 - 1/1. Let u be 20/16 - (s - -1). Find b such that 0 - 1/4*b - u*b**2 = 0.
-1, 0
Factor 12 + d**2 + 8*d**2 - 15*d**3 + 0 + 40*d - 4*d.
-3*(d - 2)*(d + 1)*(5*d + 2)
Let -1/3*i**4 + i**2 + i**3 - 7/3*i - 2 = 0. Calculate i.
-1, 2, 3
Let f be (-5 - -8)*1 - -1. Factor -2/9*a**f + 0*a**3 - 2/9 + 0*a + 4/9*a**2.
-2*(a - 1)**2*(a + 1)**2/9
Let t(o) = o**2 + 10*o - 1. Let s be t(-10). Let g be (2/10)/(s/(-1)). Let -2*f**2 - f - 1/5*f**5 - 2*f**3 - f**4 - g = 0. Calculate f.
-1
Suppose -2*g = -0*g. Suppose -5*d = -3*h - 9, g*d + 3*h = -d + 9. What is v in -10/11*v**2 + 8/11*v**4 + 16/11*v**5 - 12/11*v**d + 0 - 2/11*v = 0?
-1/2, 0, 1
Suppose -32 + 41*i + 26*i**3 - 2*i**4 - 48*i**2 - 10*i**3 + 23*i = 0. What is i?
2
Let u = 25 - 21. Let d be -3 + u + (-4)/8. Suppose -1/2*i**4 + i**3 - d - 1/2*i - 1/2*i**5 + i**2 = 0. What is i?
-1, 1
Let n(m) = -m**2 - 3*m + 2. Suppose 12 = -4*k - k + z, -3*k = -3*z. Let d be n(k). Factor 6*t - 3*t**2 - d*t**3 - 1 - 3*t + 3*t**3.
(t - 1)**3
Factor 90*z**2 + 14 - 9*z + 8 - 46*z**2 - 45*z**2.
-(z - 2)*(z + 11)
Suppose -3*t + 30 = -s + 2*s, 0 = 2*t - 5*s - 20. Let l be 4/2*t/4. Suppose 3*a**3 + 0*a**5 - 3*a**l + a**3 - a**3 = 0. Calculate a.
-1, 0, 1
Let v be (1 - -3) + (-132)/32. Let h = 3/8 + v. Determine d, given that 0 + h*d**3 - 1/4*d**2 - 1/2*d = 0.
-1, 0, 2
Let n(k) be the second derivative of -k**4/12 - k**3/2 - k**2 - 22*k. Factor n(u).
-(u + 1)*(u + 2)
Let c(j) = -j - 5. Let n be c(-7). Factor 6*u**3 + 6*u**4 + 2*u**n - 4*u**4 + 0*u**2 - 2*u**3.
2*u**2*(u + 1)**2
Let k(h) be the third derivative of -2/105*h**7 + 0*h**3 + 2/3*h**4 + 0*h**5 + 0*h + 0 - 1/10*h**6 - 8*h**2. Factor k(b).
-4*b*(b - 1)*(b + 2)**2
Let l(j) be the first derivative of 0*j - 1/5*j**5 - 1/6*j**3 + 0*j**2 - 1 - 5/16*j**4 - 1/24*j**6. Factor l(x).
-x**2*(x + 1)**2*(x + 2)/4
Suppose -15 = -2*u + 9. Suppose -n + 8 = 2*m - 1, u = 5*n - m. Determine r so that 10*r**3 + 2*r**4 - 2*r**4 + n*r**4 + 3*r**4 + 4*r**2 = 0.
-1, -2/3, 0
Let d(v) be the third derivative 