/630 - a**6/360 - a**5/45 + a**4/18 - 14*a**2 - 2. Factor w(j).
j*(j - 2)*(j - 1)*(j + 2)/3
Let l(z) be the second derivative of 0*z**3 + 0 + 0*z**2 - 4*z + 3/20*z**5 + 1/10*z**6 + 0*z**4. Let l(o) = 0. Calculate o.
-1, 0
Let z(v) be the first derivative of -v**7/420 + v**6/180 + v**5/60 - v**4/12 - 2*v**3/3 - 2. Let a(q) be the third derivative of z(q). Factor a(n).
-2*(n - 1)**2*(n + 1)
Suppose -70*y**3 - 12 + 72*y**3 - 49*y**3 - 407*y**2 - 136*y - 74*y**3 = 0. What is y?
-3, -2/11
Let y = 49 - 44. Let g(r) be the first derivative of 0*r**2 - 1/4*r**4 + 0*r + 2/3*r**3 - 1/5*r**y - 1. Suppose g(t) = 0. Calculate t.
-2, 0, 1
Let g(m) be the third derivative of 0*m**4 + 0*m**6 + 0*m**5 + 1/105*m**7 + 0*m**3 - 2*m**2 + 0 + 0*m. Find b such that g(b) = 0.
0
Suppose 2*z - 2 = 0, -4 = 2*g - 18*z + 14*z. Factor 3/2*i**3 + 0 + 3/2*i**5 - 3*i**4 + 0*i + g*i**2.
3*i**3*(i - 1)**2/2
Solve -16/13*q + 8/13 - 2/13*q**4 + 4/13*q**3 + 6/13*q**2 = 0.
-2, 1, 2
Let k(p) be the first derivative of p**4/3 - 4*p**3/9 - 2*p**2/3 + 4*p/3 - 24. Let k(g) = 0. What is g?
-1, 1
Let q(l) be the third derivative of 1/45*l**5 + 0 + 0*l**3 - 1/63*l**7 + 0*l + 1/60*l**6 + 0*l**4 + l**2. Determine b so that q(b) = 0.
-2/5, 0, 1
Suppose 16/9 - 28/9*m**2 - 8/9*m**3 - 16/9*m = 0. What is m?
-2, 1/2
Let b be (-15)/(-27) - (-4)/(-8). Let j(k) be the first derivative of 1 + 0*k**2 - 2/45*k**5 + 0*k + 0*k**3 + b*k**4. Factor j(r).
-2*r**3*(r - 1)/9
Let r(w) be the third derivative of w**5/240 - w**3/24 + w**2. Factor r(z).
(z - 1)*(z + 1)/4
Let m(w) be the second derivative of 0 - 2/3*w**4 + 5*w + 0*w**3 + 0*w**2 - 1/5*w**5. Factor m(h).
-4*h**2*(h + 2)
Let k(c) = -c**2 + 6*c - 6. Let x(r) = -r + 7. Let o be x(3). Let y be k(o). Determine w so that -2/3*w + 2/3*w**3 - 2/3*w**y + 2/3 = 0.
-1, 1
Let m = -290 - -292. Factor 0 + 0*t + 0*t**m + 1/4*t**3.
t**3/4
Let q(n) = -n - 7. Let l be q(-7). Let m(t) be the third derivative of 0*t**3 - t**2 + 0*t + l - 1/24*t**4 + 1/60*t**5. Factor m(j).
j*(j - 1)
Factor 35*w - 17*w - 18*w - 3*w**3.
-3*w**3
Let g = 10 + -21. Let x = g + 13. Let 2/9*a - 2/9*a**x + 0 = 0. Calculate a.
0, 1
Let s(t) be the first derivative of -t**6/10 - 3*t**5/5 - t**4 - 6*t - 5. Let h(w) be the first derivative of s(w). Factor h(x).
-3*x**2*(x + 2)**2
Let h(k) be the first derivative of k**8/672 - k**6/120 + k**4/48 + 3*k**2/2 + 4. Let a(q) be the second derivative of h(q). Find p such that a(p) = 0.
-1, 0, 1
Let j(w) be the second derivative of w**7/315 + w**6/90 - w**4/18 - w**3/9 - 5*w**2/2 - 3*w. Let u(p) be the first derivative of j(p). Factor u(c).
2*(c - 1)*(c + 1)**3/3
Suppose m = -0 + 2. Factor 4 - 9*w**2 + 6*w**2 - 22*w**m.
-(5*w - 2)*(5*w + 2)
Let y(p) be the first derivative of -p**6/12 - 19*p**5/40 - 31*p**4/32 - 19*p**3/24 - p**2/16 + p/4 + 7. Solve y(x) = 0.
-2, -1, 1/4
Determine q so that 0 + 0*q + 3/2*q**3 + 0*q**2 - 3/2*q**4 = 0.
0, 1
Let p(u) = -8*u**2 - 4*u + 4. Let w(f) = 15*f**2 + 7*f - 8. Suppose 0 = -5*m - 3*q + 56, 15 + 0 = -5*q. Let o(i) = m*p(i) + 6*w(i). Find s such that o(s) = 0.
-1, 2/7
Let b(g) be the third derivative of -g**6/30 - g**5/15 + g**4/6 + 2*g**3/3 - 2*g**2. Factor b(y).
-4*(y - 1)*(y + 1)**2
Let k(r) be the first derivative of -r**6/12 - r**5/10 + 3*r**4/8 + r**3/6 - r**2/2 - 3. Determine d, given that k(d) = 0.
-2, -1, 0, 1
Let d(f) be the second derivative of -1/120*f**6 + 0*f**2 - 1/168*f**7 + 1/48*f**4 + 0 - 4*f + 0*f**3 + 1/80*f**5. Factor d(j).
-j**2*(j - 1)*(j + 1)**2/4
Let v(a) be the second derivative of a**4/12 + a**3/2 - 5*a**2 + 24*a. Suppose v(g) = 0. What is g?
-5, 2
Let f(i) = i**2 - i - 1. Let x(g) = -8*g**2 - 12*g - 12. Suppose 4*q = -0*q - 4. Let b(j) = q*x(j) - 4*f(j). Suppose b(n) = 0. Calculate n.
-2
Suppose 0 = k + k - 6*k. Factor 0*b**3 + 0 + 1/2*b**2 + k*b - 1/2*b**4.
-b**2*(b - 1)*(b + 1)/2
Factor -4*f + 4*f**3 - 5*f**2 - f**4 - 2*f**2 - 17 + 5*f**2 + 20.
-(f - 3)*(f - 1)**2*(f + 1)
Factor 72*x - 72*x**3 + 69*x**2 + 27/2 + 27/2*x**4.
3*(x - 3)**2*(3*x + 1)**2/2
Let c(f) be the first derivative of 81*f**6/8 + 27*f**5/4 - 6*f**4 + f**3 + 11. Let c(z) = 0. What is z?
-1, 0, 2/9
What is w in 23 + 4*w - 4*w**3 - 23 = 0?
-1, 0, 1
Suppose 17 = 4*k + 5. Let i(u) be the first derivative of -1 - 1/9*u**k - 2/3*u**2 - 4/3*u. Factor i(x).
-(x + 2)**2/3
Let k(a) be the second derivative of -a**7/14 + 6*a**6/25 - 3*a**5/25 - 7*a. Factor k(u).
-3*u**3*(u - 2)*(5*u - 2)/5
Factor 2/9*r**5 - 16/9*r + 4/3*r**3 - 8/9*r**2 + 0 + 10/9*r**4.
2*r*(r - 1)*(r + 2)**3/9
Suppose -5*g = 3*m - 29, 0 = -4*m + 3*g - 6*g + 24. Factor 0*l**2 + 3/4*l**4 - 3/4 - 3/2*l + 3/2*l**m.
3*(l - 1)*(l + 1)**3/4
Solve 2*n**2 - 15*n - 12*n - 2*n**4 + 23*n + 4*n**3 = 0.
-1, 0, 1, 2
Let g(z) = -6*z - 6. Let p be g(-4). Let i(q) = 9*q - p*q**2 + 7*q + 4 + 4*q. Let k(j) = -53*j**2 + 61*j + 13. Let v(o) = 11*i(o) - 4*k(o). Factor v(x).
2*(x - 2)*(7*x + 2)
Let q(s) be the second derivative of s**7/210 + 2*s**6/75 + s**5/25 - s**4/30 - s**3/6 - s**2/5 + 12*s. Factor q(l).
(l - 1)*(l + 1)**3*(l + 2)/5
Let l(z) be the third derivative of 0 + 5*z**2 + 1/10*z**5 + 0*z + 0*z**3 - 1/60*z**6 - 1/6*z**4. Find h, given that l(h) = 0.
0, 1, 2
Let w(p) = -p**2. Let o(a) = -4*a**3 - 5*a**2 + 4*a. Let f(b) = -o(b) + 5*w(b). Factor f(c).
4*c*(c - 1)*(c + 1)
Let -11*s**3 + 6*s**2 - 2*s**4 + 38*s**4 - 16*s**3 - 15*s**5 = 0. What is s?
0, 2/5, 1
Let g(f) = f**3 + 5*f**2 + 4. Let z be g(-5). Let n(w) = -4*w - 4. Let m be n(-7). Factor -3*j**3 + 0*j**3 + m*j**2 - 14*j**3 + z*j**4 - 13*j + 2.
(j - 2)*(j - 1)**2*(4*j - 1)
Let u(h) = -2*h**3 - 8*h**2 - 4*h + 9. Let g be u(-3). Suppose 1/2*p**5 + 0 + 0*p - 3/4*p**4 - 1/2*p**g + 0*p**2 = 0. What is p?
-1/2, 0, 2
Let x = 115/231 - -1/21. Determine i, given that 6/11*i - x*i**2 + 2/11*i**3 - 2/11 = 0.
1
Let y = 61 - 59. Let v(c) be the third derivative of 0*c**3 + 0*c + 0 + 1/60*c**6 + 0*c**5 + c**y - 1/12*c**4. Let v(d) = 0. What is d?
-1, 0, 1
Let -5/2 - 55/2*u**2 + 35/2*u + 25/2*u**3 = 0. What is u?
1/5, 1
Factor -6/7*y + 3/7*y**2 + 0.
3*y*(y - 2)/7
Let k(l) be the third derivative of -l**7/1155 + l**6/660 + l**5/110 - l**4/132 - 2*l**3/33 + 3*l**2. Find c such that k(c) = 0.
-1, 1, 2
Let h be (-2)/(-3 + 1)*1. Let p be (-3 - -2 - h) + 8. Determine z so that -p*z + 4*z + 6*z**2 - 2*z**3 - 2*z**2 = 0.
0, 1
Let q be 7/(-14) - 9/(-2). Factor -q*t + 1 - 47*t**4 - 5*t**3 + 46*t**4 - 1 - 8*t**2.
-t*(t + 1)*(t + 2)**2
Let x(i) = -12*i**4 + 2*i**2 + 11*i - 1. Suppose 2*t + 25 = -19. Let j = 4 - 2. Let h(n) = -n**4 + n. Let y(v) = j*x(v) + t*h(v). Factor y(f).
-2*(f - 1)**2*(f + 1)**2
Let t(n) be the second derivative of -n**4/48 + n**3/24 + n**2/4 + n. Let t(m) = 0. Calculate m.
-1, 2
Factor -2/3*g**4 + 0 + 0*g + 2/3*g**5 + 0*g**2 + 0*g**3.
2*g**4*(g - 1)/3
Find b, given that -2 + 1/5*b**2 - 3/5*b = 0.
-2, 5
Suppose -2*n - 2*n + 3*u + 17 = 0, 0 = -4*u + 4. Let c = -5 + n. Determine p, given that 0*p + 0 + c*p**2 + 1/4*p**3 = 0.
0
Let i(f) be the third derivative of -f**8/1848 - f**7/385 - f**6/220 - f**5/330 - 5*f**2. Find n such that i(n) = 0.
-1, 0
Suppose -5*q = 2*w + 18, 5*w - q - 9 = -0*q. Suppose -y - z + 3*z = -7, 2*z = -y - w. Factor -2*i**y + 2*i**3 + 2*i - 2*i**3.
-2*i*(i - 1)*(i + 1)
Let p(z) = -6*z**3 + 11*z. Let c(q) = -3*q**3 + 5*q. Let f(l) = -5*c(l) + 2*p(l). Factor f(u).
3*u*(u - 1)*(u + 1)
Suppose -2 - 8 = 2*h - 3*s, -8 = 4*h - 3*s. Let f be (-1)/(-4) - h/4. Find n such that 2/3*n**2 + 2/3*n**3 + f*n + 0 = 0.
-1, 0
Solve t**4 - 3*t**2 - 3*t**4 + 0*t**2 + 5*t**4 = 0.
-1, 0, 1
Let b(k) be the second derivative of -k**8/3360 + k**7/252 - k**6/45 + k**5/15 - 5*k**4/12 + 2*k. Let h(w) be the third derivative of b(w). Factor h(n).
-2*(n - 2)**2*(n - 1)
Let f = -1 - -4. Suppose -5*v**4 + 3*v + 2*v**3 + v + v**f + 12*v**2 = 0. Calculate v.
-1, -2/5, 0, 2
Let z(l) be the third derivative of -l**6/144 + 13*l**5/240 + l**4/8 + l**3/6 - 4*l**2. Let r(v) be the first derivative of z(v). Suppose r(h) = 0. What is h?
-2/5, 3
Let n be 45/(-2)*(20 - 16). Let s be (9/n)/(4/(-570)). Find j such that -21/4*j**3 + 3 - 6*j - s*j**2 = 0.
-2, -1, 2/7
Let s(i) = i**3 + i**2 - i - 2. Let w be s(2). Let y - 2*y**4 - 13*y - 18*y**2 - 20*y**3 - y**4 - 3 + w*y**3 = 0. Calculate y.
-1
Factor -196/3*b**2 + 112/3*b - 16/3.
-4*(7*b - 2)**2/3
What 