 1)*(l + 1)**2/2
Let r(l) = 3*l - 12. Let s be r(5). Let x = -1 - -9. Factor 7*c**5 + 3*c**5 + 20*c**2 - c - x*c**s - 16*c**4 - c - 4.
2*(c - 1)**3*(c + 1)*(5*c + 2)
Suppose -2*z - z - 1 = -o, -5*o = 3*z - 23. Suppose 0*s**2 + 18*s**o - 14*s**3 - 6*s**2 + 2*s**2 = 0. What is s?
-2/9, 0, 1
Let s be (-3)/(-15) + (-348)/(-10). Let v be ((-84)/s)/(3/(-2)). Factor -16/5*u + 2*u**2 - v.
2*(u - 2)*(5*u + 2)/5
Let u(x) be the third derivative of x**7/140 - x**6/80 - x**5/20 + 15*x**2 + 2*x. Factor u(w).
3*w**2*(w - 2)*(w + 1)/2
Let f(i) be the first derivative of -1/6*i**4 + 0*i + 4 - 2/15*i**5 + 2/9*i**3 + 1/3*i**2. Suppose f(u) = 0. Calculate u.
-1, 0, 1
Let w(z) be the second derivative of z**6/12 + z**5/4 + 5*z**4/24 - 11*z. Let w(c) = 0. What is c?
-1, 0
Let u(n) be the first derivative of -2*n**5/5 - n**4/2 + 4*n**3/3 + 1. Solve u(f) = 0 for f.
-2, 0, 1
Suppose 0 = -4*z - 0*z. Find h, given that -3*h**3 + 2*h**2 + z*h**3 - 4*h**2 + 4*h**2 + h**4 = 0.
0, 1, 2
Let v(m) be the first derivative of -1 + 0*m**2 + 0*m + 0*m**3 - 1/2*m**4. Factor v(g).
-2*g**3
Let o(t) be the third derivative of t**7/1050 - t**6/600 - t**5/150 + 15*t**2. Factor o(v).
v**2*(v - 2)*(v + 1)/5
Factor -1/4*r**2 + 0 + 1/4*r**4 + 1/2*r**3 - 1/2*r.
r*(r - 1)*(r + 1)*(r + 2)/4
Let p(l) be the first derivative of -l**6/27 + 2*l**5/45 + 5*l**4/18 + 2*l**3/9 - 26. Factor p(b).
-2*b**2*(b - 3)*(b + 1)**2/9
Let l(u) = 13*u**3 - 8*u**2 - 2*u + 4. Let c(z) = -7*z**3 + 4*z**2 + z - 2. Suppose -4*x = 20 + 8. Let i(r) = x*c(r) - 4*l(r). Factor i(h).
-(h - 1)**2*(3*h + 2)
Factor 1/2*t**5 + 0 + 0*t - 1/2*t**3 + 0*t**2 + 0*t**4.
t**3*(t - 1)*(t + 1)/2
Let g(s) be the first derivative of 0*s**2 + 1/6*s**6 - 1/3*s**3 + 1/5*s**5 - 1/4*s**4 + 0*s + 3. Determine k so that g(k) = 0.
-1, 0, 1
Let u be -2 + (-98)/(-36) - (-4)/(-18). Factor 0 + u*d**3 - 1/4*d**4 + 0*d - 1/4*d**2.
-d**2*(d - 1)**2/4
Let u(y) = y**4 - y**3 - y**2 - y. Let o(s) = s**5 - s**4 + s**3 - 3*s**2 - 3*s. Let k(r) = -2*o(r) + 6*u(r). Solve k(a) = 0.
0, 2
Suppose -2/5*l**3 - 42/5*l - 16/5*l**2 - 36/5 = 0. What is l?
-3, -2
Let s(o) be the first derivative of -1/20*o**5 - 11 + 1/8*o**2 + 1/24*o**6 - 1/4*o - 1/8*o**4 + 1/6*o**3. Factor s(h).
(h - 1)**3*(h + 1)**2/4
Suppose -2*z + 200 = -7*z. Let m be z/(-42) + (-8)/28. Suppose m*a**2 + 4/3 + 2*a = 0. What is a?
-2, -1
Let 0 - 1/2*g**4 + 1/2*g**5 - 1/2*g**3 + 1/2*g**2 + 0*g = 0. What is g?
-1, 0, 1
Let r(l) be the first derivative of l**4/12 - l**2/2 - 5*l - 7. Let p(b) be the first derivative of r(b). Factor p(i).
(i - 1)*(i + 1)
Let c be 33/4 - 4 - 4. Factor c + 1/2*b + 1/4*b**2.
(b + 1)**2/4
Factor 1 - 7/3*o - 1/3*o**3 + 5/3*o**2.
-(o - 3)*(o - 1)**2/3
Let a(z) = 1. Let h(w) = -5*w**2 - 15*w - 14. Let d(r) = 4*a(r) + h(r). Factor d(s).
-5*(s + 1)*(s + 2)
Suppose 0 = -6*f - 0 - 0. Factor 0 - 2/5*s**2 + f*s.
-2*s**2/5
Factor -13*g**2 - 23*g**2 + 3*g**3 - 33*g + 18*g**4 - 6*g**4 - 6.
3*(g - 2)*(g + 1)**2*(4*g + 1)
Suppose 8/9*o - 8/9 - 2/9*o**2 = 0. Calculate o.
2
Let o(h) be the first derivative of 7*h**4/18 - 32*h**3/27 + 11*h**2/9 - 4*h/9 + 10. Factor o(j).
2*(j - 1)**2*(7*j - 2)/9
Let f(k) be the first derivative of 4/3*k**2 + 3 + 8/3*k + 2/9*k**3. Factor f(v).
2*(v + 2)**2/3
Let w(x) be the first derivative of 2/9*x**3 + 0*x + 0*x**2 + 2. Factor w(b).
2*b**2/3
Find p such that -48/7 + 120/7*p**2 + 45/7*p**4 - 96/7*p + 24*p**3 = 0.
-2, -2/5, 2/3
Suppose 0 = 2*l - 3*l. Suppose 4 = -l*q + q. Solve q*a + 2 + a**2 - 7 + 1 - 2*a**2 = 0 for a.
2
What is q in -16 + 0*q**2 + 4*q - 4*q**2 + 16 = 0?
0, 1
Let h = -45/2 - -25. Let l(j) be the first derivative of -7*j**2 + 1 - h*j**4 - 6*j**3 - 4*j - 2/5*j**5. Factor l(f).
-2*(f + 1)**3*(f + 2)
Let v(t) = -2*t**5 + 3*t**4 + 23*t**3 - 17*t**2 + 3*t - 5. Let r(u) = -2*u**5 + 4*u**4 + 24*u**3 - 16*u**2 + 2*u - 6. Let h(k) = 5*r(k) - 6*v(k). Factor h(x).
2*x*(x - 1)**3*(x + 4)
Let h(y) be the third derivative of y**7/525 - y**6/300 - y**5/75 + 3*y**2. Factor h(v).
2*v**2*(v - 2)*(v + 1)/5
Solve 0*j**2 + 1/5 - 1/5*j**4 + 2/5*j - 2/5*j**3 = 0 for j.
-1, 1
Suppose 1 = 4*g - 11. Determine p, given that -3 + p**3 + 3*p + g - 4*p = 0.
-1, 0, 1
Suppose 0 = -3*d + 15. Let s(g) be the second derivative of 2*g + 1/105*g**6 + 0 + 0*g**4 + 0*g**2 + 0*g**3 - 1/70*g**d. Let s(w) = 0. Calculate w.
0, 1
Suppose -2*y = 5*a - 29, 5*y - a + 4 = 9. Suppose 2*g - 2 - 2*g**y + 2 = 0. What is g?
0, 1
Let z be -2 + 1 + (-4 - -1)/(-3). Let 2/11*r**3 + z - 2/11*r**2 + 2/11*r**4 - 2/11*r**5 + 0*r = 0. Calculate r.
-1, 0, 1
Let y(j) be the third derivative of 0*j**4 + 0*j**5 - 1/480*j**6 + 0*j - 2*j**2 + 0 + 0*j**3 - 1/840*j**7. Suppose y(g) = 0. Calculate g.
-1, 0
Suppose 64*q - 68*q = 0. Let n(v) be the third derivative of -3*v**2 + 1/12*v**4 + 0 + q*v**3 + 1/60*v**5 + 0*v. Factor n(m).
m*(m + 2)
Let u = 24 - 17. Let d(j) = -j**2 + 7*j + 4. Let x be d(u). Let 0*m**3 - 1/2*m**x - m + 0 + 3/2*m**2 = 0. Calculate m.
-2, 0, 1
Let p be (-14 + 12)*2/(-12). Factor -1/3*t**4 - 1/3*t**5 - p + 2/3*t**2 + 2/3*t**3 - 1/3*t.
-(t - 1)**2*(t + 1)**3/3
Let v be ((-4160)/(-210))/26*6/8. Factor -v*p + 10/7*p**4 + 0 - 2/7*p**5 + 2*p**2 - 18/7*p**3.
-2*p*(p - 2)*(p - 1)**3/7
Factor 0 + 2/13*c**2 + 4/13*c - 2/13*c**3.
-2*c*(c - 2)*(c + 1)/13
Let c(h) = h**2 + 4*h - 13. Let u be c(-5). Let j be (-4)/u*-6 + 6. Factor -d**2 + 1/3*d + 1/3 + 2/3*d**4 - 1/3*d**j.
(d - 1)**2*(d + 1)*(2*d + 1)/3
Let z(x) be the second derivative of x + 3/4*x**2 + 3/8*x**3 + 1/16*x**4 + 0. Factor z(a).
3*(a + 1)*(a + 2)/4
Factor 36/7*q + 3/7*q**2 + 108/7.
3*(q + 6)**2/7
Let g(f) be the first derivative of f**6/4 + 3*f**5/10 - 3*f**4/4 - f**3 + 3*f**2/4 + 3*f/2 - 11. Factor g(p).
3*(p - 1)**2*(p + 1)**3/2
Let g = 13 - 13. Let j(r) be the third derivative of 3*r**2 + g*r - 1/210*r**7 + 0*r**3 - 1/120*r**6 + 0 + 0*r**4 + 0*r**5. Let j(w) = 0. What is w?
-1, 0
Let h(c) be the first derivative of -c**6/3 - 14*c**5/15 + 5*c**4/3 + 20*c**3/9 - 7*c**2/3 - 2*c + 15. Let h(l) = 0. Calculate l.
-3, -1, -1/3, 1
Suppose 0 = -4*r + 9 + 7. Factor 0*f + 2/3*f**r + 4/3*f**3 + 2/3*f**2 + 0.
2*f**2*(f + 1)**2/3
Let t(b) be the first derivative of b**8/2520 - b**6/270 + b**4/36 - b**3 - 2. Let u(v) be the third derivative of t(v). Factor u(d).
2*(d - 1)**2*(d + 1)**2/3
Let l(o) be the first derivative of o**6/540 - o**4/108 + o**2/2 - 2. Let i(f) be the second derivative of l(f). Let i(y) = 0. Calculate y.
-1, 0, 1
Let k = -3 + 5. Let 3*j - 6*j**2 - j + 6*j**3 + 0*j**4 - k*j**4 = 0. Calculate j.
0, 1
Suppose 111 = -5*k + 111. What is p in 2/3*p - 4/3*p**3 + 2/3*p**5 + k*p**4 + 0*p**2 + 0 = 0?
-1, 0, 1
Let x(o) = o**2 + o - 4. Let b be x(2). Let m(v) be the first derivative of -2/11*v - 1 + 0*v**b + 2/33*v**3. Factor m(g).
2*(g - 1)*(g + 1)/11
Let h(b) = 3*b**3 + 3*b**2 + b + 3. Let o(g) = g**3 - g + 1. Let s(r) = h(r) - 2*o(r). Find d, given that s(d) = 0.
-1
Let x = 5 + -3. Suppose x*g = 3 + 5. Solve -2*v**2 - 2*v**2 - 2 + 2*v**5 + 2*v**g + 2*v - 6*v**3 + 4 + 2*v**3 = 0.
-1, 1
Let f(l) be the third derivative of -l**5/170 + l**4/204 + 2*l**3/51 + 2*l**2. Determine z so that f(z) = 0.
-2/3, 1
Let o = 497/300 - -1/100. Let l(w) be the second derivative of 0 + o*w**3 - 2*w**2 + 7/6*w**4 - w. Determine f so that l(f) = 0.
-1, 2/7
Let b(x) be the first derivative of -3/2*x**2 + 0*x**3 + 1/12*x**4 - 1/30*x**5 + 0*x + 1. Let t(r) be the second derivative of b(r). What is d in t(d) = 0?
0, 1
Factor 0*s - 2/7*s**2 + 0.
-2*s**2/7
Let x(a) = -2*a**2 - 7*a - 6*a**2 - 2 + 3. Let s(u) = u**2 + u. Let c(m) = -14*s(m) - 2*x(m). What is k in c(k) = 0?
-1, 1
Let -2*f**2 + 0 + 4/11*f + 18/11*f**3 = 0. What is f?
0, 2/9, 1
Find c such that 11*c - 18*c**3 + 66 - 3*c**2 - 9*c**4 + 10*c**2 - 62 + 5*c = 0.
-2, -2/3, -1/3, 1
Let n(o) be the third derivative of -o**5/360 + o**4/18 - o**3/3 - 2*o**2 + 2*o. Factor n(l).
-(l - 6)*(l - 2)/6
Let t(k) be the first derivative of -k**6/33 + 8*k**5/55 - 3*k**4/11 + 8*k**3/33 - k**2/11 - 6. Solve t(d) = 0 for d.
0, 1
Let c(f) = f**3 - 4*f**2 + f - 2. Let v be c(3). Let q be v/16 + 1 + 0. Suppose 1/2*g**2 - q*g**4 - 1/2*g + 1/2*g**3 + 0 = 0. Calculate g.
-1, 0, 1
Suppose 0 = 3*p + 2*j - 10, 0 = j - 4 + 2. Factor 3*u + u**2 + u**p - u.
2*u*(u + 1)
Let n be 0/1*1 + 52/39. Factor -2/3 - n*r - 2/3*r**2.
-2*(r + 1)**2/3
