 h = 1 - -2. Let w(r) = 6*r + 6*r**h + 6*r**4 + 3*r**4 - 12*r - 9. Let l(x) = -x**4 + 1. Let k(d) = -6*l(d) - w(d). Factor k(t).
-3*(t - 1)*(t + 1)**3
Let h(k) = -3*k**2 + 18*k + 9. Let u(d) be the first derivative of -d**3/3 + d**2/2 - 6. Let n(p) = h(p) - 6*u(p). Factor n(t).
3*(t + 1)*(t + 3)
Let i(j) = 2*j**2 + 9*j + 4. Let b(a) = 4*a**2 + 19*a + 8. Let c(y) = 6*b(y) - 14*i(y). Suppose c(r) = 0. Calculate r.
-2, -1
Suppose -250 - 135 = 5*i. Let c = i + 387/5. Factor -2/5*f + c*f**2 - 4/5.
2*(f - 2)*(f + 1)/5
Let l be (4/(-3))/(4 + -8). Determine k so that l - 1/6*k**3 - 1/6*k**4 + 5/6*k + 1/2*k**2 = 0.
-1, 2
Let r = -3 - -5. Suppose 4*f + 2*t = 5 + 13, 0 = -r*f + 2*t - 6. Factor 2*b**4 - b**5 - f*b**3 + 3*b**3 - b**2 - b**4.
-b**2*(b - 1)**2*(b + 1)
Let w = 14 - -6. Factor 21*l**3 - 5*l**3 + 48*l + 13*l**2 + 18 + 2*l**4 + w*l**2 + 11*l**2.
2*(l + 1)**2*(l + 3)**2
Let z = -15 - -17. Let c be 2*-3*(-1)/3. Factor -q**2 + c*q**z + 0*q**2 + 0*q + q.
q*(q + 1)
Let c be -2 - 298/(-35) - (-8)/(-10). What is t in 6*t**2 + c*t + 8/7 - 50/7*t**4 - 40/7*t**3 = 0?
-1, -2/5, 1
Suppose 2 = -5*f + 17. Let q be (-6)/(-12) - 1/f. Suppose 0 - q*s**3 + 1/6*s + 0*s**2 = 0. What is s?
-1, 0, 1
Let k be -4*(-471)/27*-3. Let t = k - -214. Factor 4/3 - 6*s + t*s**2.
2*(s - 1)*(7*s - 2)/3
Factor n**3 - 4*n**3 + 12*n**5 - 4*n**4 - 5*n**3.
4*n**3*(n - 1)*(3*n + 2)
Let o(w) be the third derivative of w**5/90 + 11*w**4/144 + w**3/6 - 41*w**2. Factor o(s).
(s + 2)*(4*s + 3)/6
Let x be 0 - (-4)/6*18/8. Factor x*k + 1/2*k**2 + 1.
(k + 1)*(k + 2)/2
Let m be 2/(7 - 4/1). Let d be (-4)/18 + (-152)/(-36). Let -23/3*z**3 + 8*z**2 - m + z - 14*z**d = 0. What is z?
-1, -1/3, 2/7, 1/2
Let t(l) be the third derivative of -l**8/112 + l**7/35 + l**6/20 - l**5/5 - l**4/8 + l**3 + l**2. Solve t(w) = 0 for w.
-1, 1, 2
Find f, given that -2/3*f - 8/3*f**2 - 4*f**4 + 0 + 22/3*f**3 = 0.
-1/6, 0, 1
Let v(y) be the second derivative of y + 1/300*y**6 + 1/150*y**5 + 0*y**4 + y**2 + 0*y**3 + 0. Let p(b) be the first derivative of v(b). Factor p(s).
2*s**2*(s + 1)/5
Let y(i) = i**2 + 8*i + 9. Let u be y(-7). Factor 2 - 3*j**2 - 4*j + 6*j**u - j**2.
2*(j - 1)**2
Let y = 3 + 0. Factor 2*m**4 + 0*m**3 - 3*m**4 - 3*m + m**2 + m**y + 2*m.
-m*(m - 1)**2*(m + 1)
Suppose 0 = -4*h + 3*h + 4*l + 10, h = -3*l + 24. Let m be (-6)/h + (-10)/(-12). Factor 1/4*y - m*y**2 + 0 + 1/4*y**3.
y*(y - 1)**2/4
Suppose -8*h**3 - 5*h**5 - 5*h**5 + 4*h**2 + 6*h**3 - 16*h**4 = 0. What is h?
-1, 0, 2/5
Let d(n) be the third derivative of 5*n**2 + 0*n**3 + 0 - 1/480*n**6 + 0*n + 0*n**5 + 0*n**4 - 1/840*n**7. Factor d(i).
-i**3*(i + 1)/4
Let r(w) be the second derivative of 1/180*w**6 - w + 1/36*w**4 + 0 + 0*w**3 + 1/45*w**5 + 1/2*w**2. Let j(s) be the first derivative of r(s). Factor j(l).
2*l*(l + 1)**2/3
Let d = -7 + 11. Let b(x) = 4*x**3 - x**2. Let y be b(1). Factor d*w - 2*w**y + 0*w**3 - w - w.
-2*w*(w - 1)*(w + 1)
Factor 0*i**2 - 5*i - 7*i - 12*i - 4*i**2.
-4*i*(i + 6)
Let p(q) be the first derivative of 3*q**4/20 - 7*q**3/15 + 4*q/5 - 26. Suppose p(v) = 0. Calculate v.
-2/3, 1, 2
Let a(u) = 8*u**2 - 2*u + 2. Let m(x) = 9*x**2 - 3*x + 3. Let t(p) = -3*a(p) + 2*m(p). Let j(l) = -l**2. Let y(s) = -16*j(s) + 3*t(s). Solve y(h) = 0 for h.
0
Let f = -18 - -20. Solve -9/4*d**f - 3/2 - 15/4*d = 0 for d.
-1, -2/3
Let f(u) be the first derivative of 4*u**5/5 - 5*u**4 + 12*u**3 - 14*u**2 + 8*u - 3. Factor f(k).
4*(k - 2)*(k - 1)**3
Suppose 6*o + 5 = 23. Let y(k) be the second derivative of 1/21*k**3 + 0*k**4 - 1/70*k**5 + 0 + 0*k**2 + o*k. Suppose y(g) = 0. Calculate g.
-1, 0, 1
Suppose 54*m - 46*m = 32. Let i(v) be the third derivative of -2/21*v**3 + 0*v + 1/28*v**m + 0 + 1/42*v**5 + 4*v**2. Suppose i(y) = 0. What is y?
-1, 2/5
Factor -35/2*x + 5/2*x**3 - 10 - 5*x**2.
5*(x - 4)*(x + 1)**2/2
Factor -k**2 + 0*k**2 + 8*k - 3*k**2 - 4*k**3.
-4*k*(k - 1)*(k + 2)
Suppose -2*z - z = -12. Factor 0*a**z + 5*a - a**4 + 0*a**4 - 3*a**3 - a.
-a*(a - 1)*(a + 2)**2
Let b(j) = j**3 - j + 2. Let l be b(0). Let s be (-7)/(-5) + 5/(-5). Factor 2/5*m + 0 - s*m**l.
-2*m*(m - 1)/5
Let y(a) = -12*a. Let r(b) = b**2 - 13*b + 1. Let c(n) = -4*r(n) + 5*y(n). Suppose c(p) = 0. Calculate p.
-1
Let o(h) be the second derivative of -2*h**7/21 - 4*h**6/15 + 2*h**4/3 + 2*h**3/3 + h. Factor o(t).
-4*t*(t - 1)*(t + 1)**3
Let m(y) be the third derivative of -y**7/105 + y**6/30 - y**4/6 + y**3/3 - 7*y**2. Let m(w) = 0. Calculate w.
-1, 1
Let p(k) = 3*k**4 - 11*k**3 + 6*k**2 + 2. Let l(c) = 39*c**4 - 144*c**3 + 78*c**2 + 27. Let r(o) = -2*l(o) + 27*p(o). Find v, given that r(v) = 0.
0, 1, 2
Suppose -36*n = -37*n + 3. Let v(q) be the second derivative of 0*q**n + 1/4*q**4 + 0*q**2 + 0 + 3/20*q**5 + q. Determine w so that v(w) = 0.
-1, 0
Find j, given that 0 - 3/7*j**4 + 0*j**2 + 0*j + 3/7*j**5 + 0*j**3 = 0.
0, 1
Suppose -7*q = -q - 30. Suppose 0 - n**2 + 1/4*n**q + 3/2*n**3 - n**4 + 1/4*n = 0. Calculate n.
0, 1
Suppose 2*c = -2*q + 12, -2*q + 16 = 5*c - 8. Let f be (24/(-30))/(c/(-10)). Factor 1 - p**f + p + 2*p**3 + p**3 - 2*p**3 - 2*p**3.
-(p - 1)*(p + 1)**2
Let u(a) = -3*a**4 + a**3 + 3*a**2 - a. Let c(x) = 30*x**4 - 9*x**3 - 30*x**2 + 9*x. Let p(f) = -2*c(f) - 21*u(f). Factor p(h).
3*h*(h - 1)**2*(h + 1)
Factor 480*y**2 + 0*y - 475*y**2 - 4*y - y - 30.
5*(y - 3)*(y + 2)
Let r(m) be the first derivative of m**6/120 + m**5/60 - 3*m**2/2 - 6. Let s(t) be the second derivative of r(t). Factor s(v).
v**2*(v + 1)
Let k(h) = -16*h**3 + 20*h**2 - 25*h + 10. Let w(q) = 3*q**3 - 4*q**2 + 5*q - 2. Let m(z) = -4*k(z) - 22*w(z). Suppose m(p) = 0. Calculate p.
1, 2
Let z(t) = t**4 - t**3 - t**2 - t + 1. Let l(w) = -3*w**4 - 5*w**3 + 2*w**2 + 8*w - 8. Let q(n) = -3*l(n) - 24*z(n). Factor q(a).
-3*a**2*(a - 3)*(5*a + 2)
Let n be (1 - 4)/(1/(-3)). Determine c so that 7*c**2 - 7*c**3 - n*c**2 - 2*c - 4 - 3*c**3 + 18*c**2 = 0.
-2/5, 1
Let h = 31 - 28. Suppose -2*c = 5*r - 4, -2*r = h*c + r - 6. Factor -3/5*s**3 + 0 + 3/5*s + 0*s**c.
-3*s*(s - 1)*(s + 1)/5
Let n(k) be the second derivative of 9*k**6/10 - 3*k**4/2 - 4*k**3/3 - k**2/2 - 2*k. Factor n(g).
(g - 1)*(3*g + 1)**3
Factor -3/5*y**5 - 168/5*y**2 - 96/5*y**3 - 48/5 - 27/5*y**4 - 144/5*y.
-3*(y + 1)*(y + 2)**4/5
Let d(p) = -8*p**2 + 15*p - 7. Let l = -5 + 1. Let u(o) = -8*o**2 + 14*o - 6. Let m(n) = l*d(n) + 5*u(n). Factor m(a).
-2*(a - 1)*(4*a - 1)
Factor 2 - 8*d**2 + 8*d**2 - 2*d**2 + 2*d**3 + 2*d - 4*d.
2*(d - 1)**2*(d + 1)
Let h(c) = 5*c**3 + 2*c**2 + 0*c**4 - 5*c**5 + 22 - 29 - 9*c**4. Let w(q) = 3*q**5 + 5*q**4 - 3*q**3 - q**2 + 4. Let o(l) = -4*h(l) - 7*w(l). Factor o(s).
-s**2*(s - 1)**2*(s + 1)
Factor 2*p**5 + 2*p**5 - 2*p**3 + 4*p + 2*p**3 - 8*p**3.
4*p*(p - 1)**2*(p + 1)**2
Let w be -5*((0 - 3) + 2). Let a(f) = -f**3 + 6*f**2 - 5*f + 7. Let u be a(w). Factor -5*z - 5*z + z + 2 + u*z**2.
(z - 1)*(7*z - 2)
Let n be (-7)/(-15) - (4 + 105/(-25)). Factor -2/3*k**2 - 2/3*k**5 + n*k**4 + 0 + 0*k + 2/3*k**3.
-2*k**2*(k - 1)**2*(k + 1)/3
Determine f, given that 18*f**3 - 12*f**3 - 2*f**2 - 8*f**3 + 2*f + 2*f**4 = 0.
-1, 0, 1
Let h(c) = -5*c**3 + 20*c**2 - 25*c + 5. Let a(g) = -5*g**3 + 20*g**2 - 26*g + 6. Let d(y) = 5*a(y) - 6*h(y). Solve d(w) = 0.
0, 2
Let y(i) = i**3 + i**2 - i + 1. Let n(m) = 12*m**3 + 9*m**2 - 12*m + 9. Suppose -4*a + 1 = 5. Let q(k) = a*n(k) + 9*y(k). Solve q(l) = 0.
-1, 0, 1
Let b be -4 - 2*(-12)/8. Let p = b + 1. Factor 2*y**2 + 4/3*y + p.
2*y*(3*y + 2)/3
Let f(w) = w**2 + 6*w - 5. Let c be f(-7). Solve -5*t**3 - 19*t - 21*t**4 + 0*t**c + 2 - 3*t**3 - 59*t**4 + 51*t**2 = 0 for t.
-1, 1/4, 2/5
Let b = -1582/3 + 528. Factor 5/3*q**5 + 8/3*q**4 - 10/3*q**2 + b - 4/3*q**3 - 1/3*q.
(q - 1)*(q + 1)**3*(5*q - 2)/3
Factor 3 - 3 - 8*h**2 + 0 - 2*h.
-2*h*(4*h + 1)
Let j(x) be the third derivative of x**6/120 + x**5/60 + x**3/6 - 6*x**2. Let g(z) = -3*z**3 - 12*z**2 + 3*z - 6. Let o(c) = -g(c) - 6*j(c). Factor o(r).
-3*r*(r - 1)**2
Suppose -3 = h - 4*h. Let r be 6/(h + 1) - 0. Factor 4*s - 5*s**2 + r*s + 2*s - 6 + 2*s**2.
-3*(s - 2)*(s - 1)
Let h(r) be the first derivative of -3*r**5/10 + 3*r**3 + 6*r**2 + 9*r/2 - 7. Find y, given that h(y) = 0.
-1, 3
Let d(x) be the third derivative of x**8/1680 + 13*x**7/4200 + x**6/450 - x**5/150 + x**3/2 - x**2. Let z(u) be the first derivative of d(u). Factor z(w