+ 3*n.
(n - 2)*(n - 1)*(n + 1)**2
Let w(g) = 26*g**5 - 16*g**4 - 44*g**3 + 64*g**2 - 30*g. Let p(f) = 5*f**5 - 3*f**4 - 9*f**3 + 13*f**2 - 6*f. Let c(m) = 16*p(m) - 3*w(m). Factor c(d).
2*d*(d - 1)**3*(d + 3)
Let l(m) = m**3 + 2*m**2 - m. Let t(h) = h**3 + 3*h**2 - h. Let k(x) = -2 - 5*x + x + 5*x. Let n be k(-2). Let j(f) = n*t(f) + 6*l(f). Factor j(a).
2*a*(a - 1)*(a + 1)
Let w(z) be the second derivative of 5*z + 0*z**2 + 1/6*z**4 - 4/3*z**3 + 0. Factor w(v).
2*v*(v - 4)
Let c(x) = -x**3 + x**2 + x. Let u(j) = -16*j**4 + 18*j**3 - j**2 - 3*j. Let a(g) = 6*c(g) + 3*u(g). Let a(y) = 0. What is y?
-1/4, 0, 1/4, 1
Let v(k) be the first derivative of 1/5*k**5 - 3 + 0*k + 1/2*k**4 + 1/3*k**3 + 0*k**2. Factor v(l).
l**2*(l + 1)**2
Let k(h) be the second derivative of -h**8/8400 + h**6/600 - h**5/300 - h**3/6 - 3*h. Let m(s) be the second derivative of k(s). Determine q so that m(q) = 0.
-2, 0, 1
Let v(h) be the third derivative of -h**8/56 + 4*h**7/105 + h**6/30 - 2*h**5/15 + h**4/12 + 2*h**2. What is k in v(k) = 0?
-1, 0, 1/3, 1
Suppose 6*c = c + 15. Find g such that -16*g**c - 10 - 6*g**4 - 12*g**2 + 14 - 2 = 0.
-1, 1/3
Let d(m) be the third derivative of 2*m**8/273 + 8*m**7/273 + m**6/780 - 19*m**5/195 - 17*m**4/156 - 2*m**3/39 + 43*m**2. Solve d(j) = 0 for j.
-2, -1, -1/4, 1
Let i(n) = 2*n**2 - 6*n + 5. Let y be i(5). Suppose 0 = 5*q - y, 0*q = -5*c - 3*q + 30. Factor -t**2 + 4*t**3 + 0*t**3 - 2*t**c - t**3.
t**2*(t - 1)
Let t(n) = 2*n + 16. Let d be t(-6). Let a = -23/13 - -259/117. What is z in 0*z**2 + 2/9*z**d - 2/9 + 4/9*z**3 - a*z = 0?
-1, 1
Let c be (-74)/420 + (-13)/(-65). Let z(j) be the second derivative of -3*j + 0 - 1/21*j**3 - c*j**4 + 0*j**2. Factor z(d).
-2*d*(d + 1)/7
Let b(h) be the first derivative of 2 + 1/3*h**2 + 1/6*h**4 + 0*h + 4/9*h**3. Factor b(l).
2*l*(l + 1)**2/3
Let l = -6 - -24. Let -18*h**3 + 66*h**3 - 6*h + 15*h**2 + 9*h**4 + l*h**4 = 0. Calculate h.
-1, 0, 2/9
Let b(c) be the first derivative of -c**6/900 - c**5/150 - c**4/60 - 4*c**3/3 - 8. Let f(d) be the third derivative of b(d). Factor f(p).
-2*(p + 1)**2/5
Let p(h) = 3*h**4 - 10*h**3 - 10*h**2 - 4*h. Let a(x) = -x**4 + 3*x**3 + 3*x**2 + x. Let w(t) = 7*a(t) + 2*p(t). Factor w(v).
-v*(v - 1)**2*(v + 1)
Let x(a) = 3*a**2 - 3. Let d(i) = 9*i**2 + i - 8. Let h(j) = -6*d(j) + 17*x(j). Let h(b) = 0. Calculate b.
-1
Let u(n) be the first derivative of 4*n - 5*n**2 + 5/2*n**4 - 4/3*n**3 - 1. Factor u(r).
2*(r - 1)*(r + 1)*(5*r - 2)
Suppose 0 = 3*p - 3, -2*p + 4*p + 7 = 3*k. Suppose 3 = -k*l + 3*m, 0*m + 25 = 5*m. What is u in 0 - 2/7*u**2 + 2/7*u**3 + 2/7*u**l - 2/7*u = 0?
-1, 0, 1
Let s(l) be the first derivative of l**6/90 + l**5/10 + l**4/3 - 2*l**3/3 + 2. Let x(p) be the third derivative of s(p). Factor x(n).
4*(n + 1)*(n + 2)
Determine b, given that -3/2*b**2 - 3/2 + 3*b = 0.
1
Let w(c) be the first derivative of -5*c**4/2 + 15*c**3 - 30*c**2 + 20*c + 16. Factor w(s).
-5*(s - 2)**2*(2*s - 1)
Factor 0 + 4/3*t - 2/3*t**2.
-2*t*(t - 2)/3
Suppose -3 = -2*a + 9. Let o be a/2*(-10)/(-6). Factor o - 2*l**2 - 5 + l**3.
l**2*(l - 2)
Let u(t) be the third derivative of 3*t**2 + 0 + 0*t**3 + 1/30*t**5 + 0*t**4 + 0*t - 1/120*t**6. Determine r, given that u(r) = 0.
0, 2
Let t(s) be the second derivative of 0 + 0*s**3 + 0*s**2 - 1/21*s**7 + 0*s**5 + 0*s**4 + 2*s + 1/15*s**6. Factor t(x).
-2*x**4*(x - 1)
Suppose -4*y - 7*y + 6*y**2 + 17*y - 3*y**2 = 0. What is y?
-2, 0
Let q = 23 + -23. Find y, given that 1/2*y**4 + q + 1/2*y - 1/2*y**3 - 1/2*y**2 = 0.
-1, 0, 1
Let i = 26 + -18. Factor -2 + 0 - 2*t**4 + 2 - 2 + i*t - 12*t**2 + 8*t**3.
-2*(t - 1)**4
Suppose -3*b + 4*b - u = 0, -4*b + 14 = 3*u. Suppose 1 - 4*z**b - 3 - 4*z + 5 + 5 = 0. What is z?
-2, 1
Let r(x) = 8*x**2. Let d(p) = -7*p**2. Let m(c) = 6*d(c) + 5*r(c). Determine l so that m(l) = 0.
0
Let v = -4 - -6. Suppose v*o + 0*o = 0. Factor -1/2*n**2 + 7/4*n**4 + o + 0*n + 5/4*n**3.
n**2*(n + 1)*(7*n - 2)/4
Let j = 0 + 2. Let -7*r**3 + 7*r**2 + 3*r**5 - 2*r**3 - r**j = 0. Calculate r.
-2, 0, 1
Let l(w) = w**3 - 2*w**2 - 16*w + 7. Let h be l(5). Factor 0*q**3 + 4/7*q**h - 4/7*q**4 + 2/7*q - 2/7*q**5 + 0.
-2*q*(q - 1)*(q + 1)**3/7
Let d be (-50)/(-72) - 2/8. Find o such that 10/3*o**5 + 0 + d*o**2 + 8/9*o**4 + 0*o - 2*o**3 = 0.
-1, 0, 1/3, 2/5
Let t(l) = l**3 - l**2 - l + 20. Let d be t(0). Suppose 0 = -5*b - 5 + d. Determine m so that 44/5*m**4 - 2*m**5 + 4/5 + 64/5*m**2 - 76/5*m**b - 26/5*m = 0.
2/5, 1
Suppose -2/5 - 6/5*z + 8/5*z**2 = 0. What is z?
-1/4, 1
Let g(d) = 46*d**4 + 150*d**3 + 226*d**2 + 109*d + 20. Let y(l) = -9*l**4 - 30*l**3 - 45*l**2 - 22*l - 4. Let a(o) = -2*g(o) - 11*y(o). Factor a(r).
(r + 1)**2*(r + 2)*(7*r + 2)
Let h = -15 - -19. Determine y so that -3*y**2 - 6*y + 2*y + y**2 + 2 - h = 0.
-1
Suppose 3 = 9*a - 15. Let r(c) be the third derivative of 3*c**a + 0*c**4 + 0*c + 0 + 0*c**3 - 1/30*c**5. Factor r(z).
-2*z**2
Let q(s) be the first derivative of 4*s**2 + 6*s + 8/9*s**3 - 7. Factor q(c).
2*(2*c + 3)**2/3
Factor 3/4*p - 1/4 + p**2.
(p + 1)*(4*p - 1)/4
Let t(q) = 58*q**3 - 10*q**2 - 2*q - 2. Let r(i) = -i**3 - i**2 - i - 1. Let s(z) = -2*r(z) + t(z). Factor s(b).
4*b**2*(15*b - 2)
Suppose a + 39 = 41. Let t(s) be the third derivative of -1/24*s**4 + 1/12*s**3 + s**a + 1/120*s**5 + 0 + 0*s. Factor t(i).
(i - 1)**2/2
Let q(r) be the third derivative of -r**8/672 - r**7/420 + r**6/120 + r**5/60 - r**4/48 - r**3/12 + 15*r**2. Let q(j) = 0. Calculate j.
-1, 1
Suppose 24 = 5*k + k. Let h(n) be the first derivative of -1/8*n**k + 1/3*n**3 - 1/4*n**2 + 0*n - 1. Factor h(w).
-w*(w - 1)**2/2
Suppose 0*w**4 + 4*w**3 - 3*w**4 + 0*w**4 + 2*w**3 = 0. What is w?
0, 2
Let c(g) be the second derivative of g**6/660 - g**4/44 - 2*g**3/33 + g**2 - 3*g. Let r(j) be the first derivative of c(j). Let r(s) = 0. What is s?
-1, 2
Let b(g) be the second derivative of 0 - 2/15*g**3 + 1/5*g**2 + 1/30*g**4 - g. Factor b(a).
2*(a - 1)**2/5
Let b(r) be the third derivative of -4*r**2 - 1/105*r**7 + 1/40*r**6 + 0*r + 1/30*r**5 + 0*r**4 + 0*r**3 + 0 - 1/112*r**8. Let b(f) = 0. Calculate f.
-1, -2/3, 0, 1
Let f(i) = -3*i**3 + 33*i**2 - 105*i + 69. Let d(b) = -3*b**3 + 33*b**2 - 105*b + 68. Let m(j) = 6*d(j) - 7*f(j). Factor m(s).
3*(s - 5)**2*(s - 1)
Let s(w) be the second derivative of w**7/28 - w**6/5 + 3*w**5/40 + 7*w**4/4 - 5*w**3 + 6*w**2 + 35*w. Solve s(v) = 0 for v.
-2, 1, 2
Let m = 23/4 - 1031/180. Let g(h) be the third derivative of -h**2 + 1/9*h**3 + 0*h + 1/315*h**7 - m*h**5 + 0 + 0*h**6 + 0*h**4. Find l such that g(l) = 0.
-1, 1
Factor 4/3 + 1/3*n**4 + 2*n**3 + 4*n + 13/3*n**2.
(n + 1)**2*(n + 2)**2/3
Let w(k) be the first derivative of -k**3 - 27*k**2 - 243*k - 15. Factor w(i).
-3*(i + 9)**2
Factor 2*p + 138*p**2 + 133*p**2 - 269*p**2.
2*p*(p + 1)
Let x(f) be the third derivative of -10*f**2 - 1/15*f**4 + 1/300*f**5 + 0 + 8/15*f**3 + 0*f. Suppose x(d) = 0. Calculate d.
4
Let u(i) = -16*i**2 - 18*i - 22. Let z(a) = -5*a**2 - 6*a - 7. Let j(f) = 3*u(f) - 10*z(f). Factor j(y).
2*(y + 1)*(y + 2)
Let v(j) be the first derivative of -3*j**5/35 - 15*j**4/28 - j**3 - 9*j**2/14 - 27. Let v(q) = 0. What is q?
-3, -1, 0
Let p(c) = c**3 - 7*c**2 + 4. Let z be p(7). Suppose -x**2 - x**3 + x**z + x**3 = 0. What is x?
-1, 0, 1
Let w = 38 + -38. Let 0*l**3 + w - 3/7*l + 3/7*l**5 - 6/7*l**2 + 6/7*l**4 = 0. What is l?
-1, 0, 1
Suppose -4*x - 16 = -64. Factor -2*c**4 + x*c**2 + 8*c + 2*c**4 - 4*c**4.
-4*c*(c - 2)*(c + 1)**2
Factor c + 3/4 + 1/4*c**2.
(c + 1)*(c + 3)/4
Let 1/4*j**5 + 0*j**2 - 3/4*j**4 + 0 + 0*j + 1/2*j**3 = 0. Calculate j.
0, 1, 2
Let c(y) be the second derivative of y**7/315 - 7*y**6/540 + y**5/54 - y**4/108 + y**2 - y. Let m(t) be the first derivative of c(t). Factor m(z).
2*z*(z - 1)**2*(3*z - 1)/9
Factor -30*c + 9 + 5*c**2 - 12 + 48.
5*(c - 3)**2
Let q(k) be the third derivative of k**6/30 + k**5/5 - 8*k**3/3 + 2*k**2. Suppose q(c) = 0. Calculate c.
-2, 1
Find i, given that -4/13*i**4 - 14/13*i**3 + 6/13*i**5 - 4/13*i**2 + 0 + 0*i = 0.
-1, -1/3, 0, 2
Let w = -48 - -193/4. Solve 0*t + 1/2*t**4 - 1/4*t**5 - w*t**3 + 0*t**2 + 0 = 0 for t.
0, 1
Factor -3011 + 3011 + 3*l**2.
3*l**2
Let s(m) be the third derivative of 3*m**2 + 1/105*m**7 + 0*m + 1/168*m**8 + 0 + 0*m**5 + 0*m**3 + 0*m**6 + 0*m**4. Factor s(w).
2*w**4*(w 