s**3 + 5*s**2 + 7*s + 4. Let b be o(-4). Let q(y) = -y - 5. Let d be q(b). Factor -12*r**d - 2 + 6*r**3 - 6*r**2 - 10*r - 7*r**2 - r**2.
-2*(r + 1)**2*(3*r + 1)
Let b(p) = -p**2 + p. Let x(v) = -5*v**2 + 9*v. Let l(j) = 6*b(j) - x(j). Solve l(y) = 0.
-3, 0
Let j(g) be the third derivative of -3*g**7/140 + g**6/8 - 5*g**5/24 + g**3/3 - 10*g**2. Solve j(p) = 0 for p.
-1/3, 2/3, 1, 2
Let r(s) = -20*s**2 + 22*s - 2. Let x(v) = v**2 - v. Let u(c) = -2*r(c) - 44*x(c). Factor u(i).
-4*(i - 1)*(i + 1)
What is g in 5*g - 3*g**5 - 20*g**2 - 5*g**3 + 0*g**3 - 5*g**3 + 10*g**4 + 10 + 8*g**5 = 0?
-2, -1, 1
Let y(a) = a**3 + a**2. Let g(n) = -n**4 + 5*n**3 + 5*n**2 - n. Let w(f) = -3*g(f) + 12*y(f). Factor w(j).
3*j*(j - 1)**2*(j + 1)
Let s(c) be the second derivative of c**6/90 - c**4/36 - c. Factor s(k).
k**2*(k - 1)*(k + 1)/3
Let z(g) = -g**3 + 5*g**2 - 3*g - 1. Let l = -1 - -5. Let b be z(l). Factor 0*m + 0 - 1/3*m**2 - 4/3*m**5 - 2*m**b - 3*m**4.
-m**2*(m + 1)**2*(4*m + 1)/3
Suppose -2*a + 2*a - 31*a**4 + 26*a**4 - 10*a**3 = 0. What is a?
-2, 0
Suppose -5*b - 7 = -2. Let f be (0/(-4))/b + 4. Suppose 0 - 1/4*n**5 + 0*n**2 + 0*n**f + 1/4*n**3 + 0*n = 0. What is n?
-1, 0, 1
Let u(g) be the third derivative of -1/9*g**3 + 0*g + 0 + 3*g**2 - 7/180*g**5 - 1/8*g**4. Factor u(l).
-(l + 1)*(7*l + 2)/3
Suppose h + 7*h - 24 = 0. Find r such that 0*r - 2/9*r**2 + 4/9*r**h + 0 - 2/9*r**4 = 0.
0, 1
Let p(b) be the third derivative of -b**6/600 - b**5/100 + b**3/2 + 4*b**2. Let q(h) be the first derivative of p(h). Solve q(u) = 0 for u.
-2, 0
Let v(g) be the third derivative of -2/27*g**3 - 1/30*g**5 - 7/108*g**4 + 0 - 1/108*g**6 + 0*g - g**2 - 1/945*g**7. Factor v(j).
-2*(j + 1)**3*(j + 2)/9
Let s(z) be the third derivative of -z**8/840 - z**7/175 + z**6/60 + z**5/50 - z**4/15 - 39*z**2. Find t such that s(t) = 0.
-4, -1, 0, 1
Factor -5*l**4 + l**4 + 4*l**2 + 2*l + 0*l**4 + 0*l**2 - 2*l**5.
-2*l*(l - 1)*(l + 1)**3
Let i(j) = -4*j**3 + 3*j**2 + 3*j + 4. Let z(u) = -7*u**3 + 6*u**2 + 4*u + 7. Let d(c) = -5*i(c) + 3*z(c). Find b such that d(b) = 0.
1
Let j(y) be the second derivative of -y**6/15 - 3*y**5/5 - 3*y**4/2 - 4*y**3/3 + 9*y. Suppose j(v) = 0. Calculate v.
-4, -1, 0
Let i(z) = z**2 + 8*z + 15. Let w be i(-5). Factor 0*j + 1/2*j**3 + 1/2*j**2 + w.
j**2*(j + 1)/2
Let l(n) = -16*n**4 + 26*n**3 + 6*n**2 - 2*n. Let z(j) = j**4 - j**3 + j**2 + j. Let q(t) = -l(t) - 2*z(t). Determine s, given that q(s) = 0.
-2/7, 0, 2
Suppose -4 = -2*t - 3*y, 5 = t + 4*y + 3. Factor -1/5*w**4 + 1/5*w**t + 0*w + 0*w**3 + 0.
-w**2*(w - 1)*(w + 1)/5
Solve 0 - 4/3*y**3 - 2/9*y**4 + 0*y - 2*y**2 = 0 for y.
-3, 0
Solve 0 + 3*j**2 + 3/5*j + 12/5*j**3 = 0 for j.
-1, -1/4, 0
Let i(m) = 115*m**4 - 125*m**3 - 77*m**2 + 139*m - 24. Let w(x) = 38*x**4 - 42*x**3 - 26*x**2 + 46*x - 8. Let z(l) = -2*i(l) + 7*w(l). Factor z(y).
4*(y - 1)**2*(y + 1)*(9*y - 2)
Suppose 5 = -3*f + c, f + 4*c = -f - 22. Let k = f + 6. Factor -t**2 + t**3 + k*t**4 - 7*t**5 + 6*t**5 - 2*t**4.
-t**2*(t - 1)**2*(t + 1)
Let t be (-1)/1 - 507/(-6). Let l = 85 - t. Factor 1 + 1/2*d**2 + l*d.
(d + 1)*(d + 2)/2
Let z(h) be the first derivative of -2*h**3/33 + h**2/11 + 4*h/11 + 12. Determine d so that z(d) = 0.
-1, 2
Let f(u) be the first derivative of u**6/360 + 3*u**5/160 + u**4/48 - u**3/3 - 4. Let s(a) be the third derivative of f(a). Factor s(x).
(x + 2)*(4*x + 1)/4
Let b be 19 + -16 - (0 - -2 - 1). Solve -5/3*h**4 - 1/2*h**5 - h**b - 2*h**3 - 1/6*h + 0 = 0 for h.
-1, -1/3, 0
Let b(o) be the third derivative of o**8/6720 - o**7/1120 + o**6/480 - o**5/480 - o**4/24 - 5*o**2. Let c(g) be the second derivative of b(g). Factor c(x).
(x - 1)**2*(4*x - 1)/4
Let g(k) = -k**3 - 2*k**2 + k + 4. Let x be g(-2). Solve 0 - 4/3*b**3 + 8/9*b**x - 2/9*b - 2/9*b**5 + 8/9*b**4 = 0.
0, 1
Suppose -15 = 19*w - 24*w. Let -6/7*y**w + 4/7 + 2/7*y - 8/7*y**2 = 0. Calculate y.
-1, 2/3
Let g(i) be the first derivative of -i**5/90 - i**4/36 + 2*i**3/9 + 2*i**2 + 3. Let v(r) be the second derivative of g(r). Factor v(s).
-2*(s - 1)*(s + 2)/3
Factor 6/5*m + 2/3 + 2/5*m**2 - 2/15*m**3.
-2*(m - 5)*(m + 1)**2/15
Factor 8/5 - 8/5*g + 2/5*g**2.
2*(g - 2)**2/5
Let n = 2 - 0. Let q = -25 - -101/4. Let 0 + q*z**3 + 0*z**n + 0*z - 1/4*z**4 = 0. What is z?
0, 1
Suppose -5*w + j = -3*j + 6, -22 = -5*w - 3*j. Factor 4/5 - 4/5*g + 1/5*g**w.
(g - 2)**2/5
Let c(r) be the first derivative of -8/7*r**4 - 8/7*r**2 + 2/7*r**5 - 6 + 2/7*r + 12/7*r**3. Factor c(h).
2*(h - 1)**3*(5*h - 1)/7
Let g(v) be the first derivative of -1 - 1/3*v**3 + v**2 - v. Factor g(c).
-(c - 1)**2
Let a(u) be the third derivative of 0*u**4 + 0 + 0*u - u**2 - 1/105*u**7 - 1/30*u**5 - 1/30*u**6 + 0*u**3. Find n, given that a(n) = 0.
-1, 0
Suppose 0 = -3*z - 22 + 7. Let a be 3*-1 - 17/z. Factor -4/5*u - a*u**2 - 2/5.
-2*(u + 1)**2/5
Let f(a) be the third derivative of -a**8/1680 - a**7/1050 + a**6/200 + a**5/60 + a**4/60 - 19*a**2. Factor f(t).
-t*(t - 2)*(t + 1)**3/5
Let t(a) be the first derivative of -a**5/70 - a**4/14 + 4*a**2/7 - 5*a - 3. Let l(h) be the first derivative of t(h). Let l(n) = 0. What is n?
-2, 1
Let d(l) = l**3 + 9*l**2 - 9*l + 7. Let q be d(-10). Let w = 0 - q. Solve w*t**5 + 3*t**5 - 4*t**5 + 6*t**3 + 6*t**4 + 0*t**5 + 2*t**2 = 0 for t.
-1, 0
Let r(i) be the first derivative of 3*i**5/35 + 3*i**4/28 - 21. Factor r(d).
3*d**3*(d + 1)/7
Let b(y) be the first derivative of 0*y**2 - 2/15*y**3 + 2/5*y + 4. Find s, given that b(s) = 0.
-1, 1
Let a(p) = p**3 + 4*p**2 - 5*p + 3. Let s be (-1)/((8/(-10))/(-4)). Let d be a(s). Factor -2*k**3 + 5*k**d - 2*k**4 - 3*k**2 + k**2 + k**4.
-k**2*(k - 2)*(k - 1)
Factor 0 + 0*i + 10/17*i**2 + 2/17*i**4 + 12/17*i**3.
2*i**2*(i + 1)*(i + 5)/17
Let n(a) = a**4 + a**3 - 5*a**2 - a + 4. Let b(s) = s**2 - 1. Let o(m) = -12*b(m) - 3*n(m). Factor o(r).
-3*r*(r - 1)*(r + 1)**2
Suppose -3*n**3 - 2*n**2 - 12*n**3 + 2*n**4 - 4*n + 19*n**3 = 0. Calculate n.
-2, -1, 0, 1
Suppose 1/2*h + 0 - h**2 - 3/2*h**3 = 0. Calculate h.
-1, 0, 1/3
Let o be 5/80*(-8)/(-90). Let z(h) be the third derivative of 0*h + 0*h**3 + 1/135*h**5 - o*h**6 + 0 + 1/108*h**4 + 2*h**2. Let z(x) = 0. What is x?
-1/3, 0, 1
Suppose -24*y = -22*y. Let s(j) be the third derivative of -1/18*j**4 + 0 - 4*j**2 + y*j**3 + 7/180*j**6 - 1/18*j**5 + 0*j. Factor s(c).
2*c*(c - 1)*(7*c + 2)/3
Determine q so that 128 + 214*q - 246*q - 2*q**2 + 4*q**2 = 0.
8
Factor 2/3 - 11/6*z**3 - 31/6*z**2 - 8/3*z.
-(z + 1)*(z + 2)*(11*z - 2)/6
Let m = 2176/477 + 194/53. Suppose -8/9*x**4 - 16/3*x - 14/3*x**3 - 8/9 - m*x**2 = 0. What is x?
-2, -1, -1/4
Factor -2103 + 2*v**2 - 43*v + 4*v**4 + 2079 + 14*v**3 + 11*v.
2*(v + 1)*(v + 2)**2*(2*v - 3)
Let v(k) be the second derivative of -4*k**6/15 - 3*k**5/5 - k**4/3 + 5*k. Let v(y) = 0. Calculate y.
-1, -1/2, 0
Let u(m) be the second derivative of m**7/126 - m**5/30 + m**3/18 + 4*m. Find f, given that u(f) = 0.
-1, 0, 1
Let c(g) be the second derivative of -1/150*g**5 - 1/30*g**4 - 2*g + 0 - 1/15*g**3 - g**2. Let k(q) be the first derivative of c(q). Factor k(i).
-2*(i + 1)**2/5
Suppose 3*g**3 + 2*g**4 - g**2 + 3*g**2 - 4*g**4 - 2*g - g**3 = 0. Calculate g.
-1, 0, 1
Let j(l) be the first derivative of 3*l**5/40 - 7*l**4/12 + 17*l**3/12 - 3*l**2/2 - 6*l + 7. Let n(t) be the first derivative of j(t). What is k in n(k) = 0?
2/3, 1, 3
What is h in 1/2*h**2 - 1/2*h**3 - 1/2 + 1/2*h = 0?
-1, 1
Suppose -3*t + 6 = -5*m + 1, -5*t = m - 27. Let i(b) be the first derivative of 4 + 26/9*b**3 + 2/15*b**t + 8/3*b - b**4 - 4*b**2. Factor i(s).
2*(s - 2)**2*(s - 1)**2/3
Factor -3*v**5 - 18*v**4 + 4*v**3 + 2*v**3 + 21*v**4.
-3*v**3*(v - 2)*(v + 1)
Let c(z) = -z**2 - 4*z + 7. Let j be c(-5). Let q(x) be the first derivative of -2 + 1/6*x**3 - x - 1/4*x**j. Let q(y) = 0. What is y?
-1, 2
Let z = -14 + 32. Let k be (-2)/6 + 6/z. Factor -1/2*n**2 + 0*n + k + 1/2*n**5 + 3/2*n**3 - 3/2*n**4.
n**2*(n - 1)**3/2
Let b**2 + 3*b**2 - b**2 + 2*b + b = 0. Calculate b.
-1, 0
Let k(z) be the second derivative of z**5/10 - z**4/3 - 9*z. Suppose k(f) = 0. Calculate f.
0, 2
Let f be (0 - 2)*(1 + -3). Let v = -2 + f. Suppose 0*y**v - 2*y**2 - y**4 + 1 + 2*y**4 = 0. What is y?
-1, 1
Let m(h) be the first derivative of 1/2*h**4 + 0*h + 0*h**2 - 1 + 2/3*h**3. Let m(b) = 0. What is b?
-1, 0
Let x = 259/684 + 