+ 1/6*y**3 + 1/42*y**7 - 2/15*y**a + 0*y**2 + y. Factor t(n).
n*(n - 1)**4
Let x(z) be the first derivative of -2*z**6/15 - z**5/5 + 2*z**4/3 + 2*z + 3. Let w(k) be the first derivative of x(k). What is j in w(j) = 0?
-2, 0, 1
Let x(q) = 5*q**3 - 6*q**2 - 5*q + 6. Let y(p) be the first derivative of 3*p**4/2 - 7*p**3/3 - 3*p**2 + 7*p + 3. Let a(c) = 7*x(c) - 6*y(c). Factor a(v).
-v*(v - 1)*(v + 1)
Let u = 31/61 + 15553/244. Let p = u - 64. Factor 0 - 3/4*z**3 + 3/4*z**2 + p*z**4 - 1/4*z.
z*(z - 1)**3/4
Let l(d) = -17*d**2 + 1. Let m be l(-1). Let o be (-1)/8 + (-2)/m. Suppose 3/2*f**3 + 1/2*f**2 + o + f**4 + 0*f = 0. What is f?
-1, -1/2, 0
Let f = 7 + -4. Let v = 12 - 7. Solve 11*m**3 + 2*m**4 - 3*m**4 - 4*m**2 - 3*m**f - 3*m**v = 0 for m.
-2, 0, 2/3, 1
Let p(q) be the second derivative of -q**6/120 + q**5/10 - q**4/2 + q**3/6 - 3*q. Let k(z) be the second derivative of p(z). Factor k(c).
-3*(c - 2)**2
Let y(d) be the first derivative of -8*d**5/65 + 7*d**4/26 - 4*d**3/39 - d**2/13 + 1. Suppose y(o) = 0. Calculate o.
-1/4, 0, 1
Let f(y) = 3*y**2 - 15*y + 27. Let b(v) be the first derivative of v**2/2 + 1. Let n(h) = 3*b(h) - f(h). Factor n(k).
-3*(k - 3)**2
Factor -372 - 128 + 19*x**2 - 24*x**2 - 100*x.
-5*(x + 10)**2
Let i(a) = -14*a + 11*a + 6*a**2 - 5 + 3*a**2. Let b(y) = -4*y**2 + y + 2. Let k(v) = -7*b(v) - 3*i(v). Factor k(l).
(l + 1)**2
Suppose 0 = -i + 2 - 0. Let w be (i/3)/(3/9). Factor 4 + j**3 + w*j**2 - 4 + j.
j*(j + 1)**2
Let f(w) be the second derivative of w**7/168 - w**6/120 - w**5/80 + w**4/48 - 10*w. Factor f(i).
i**2*(i - 1)**2*(i + 1)/4
Let w(b) = b**2 + 13*b - 30. Let x be w(-15). Factor -3/5*v**3 + 0 + 0*v**4 + x*v + 0*v**2 + 3/5*v**5.
3*v**3*(v - 1)*(v + 1)/5
Suppose -5*s - 21 = g - 0*g, 2*g + 12 = -4*s. Let w(m) = -m**2 - 6*m - 3. Let f be w(s). Factor 4*c - 3*c**2 - 4*c**3 - f*c**4 + 4*c**2 + c**2.
-2*c*(c - 1)*(c + 1)*(c + 2)
Suppose -4/7*z**2 - 2/7*z + 2/7*z**3 + 4/7 = 0. What is z?
-1, 1, 2
Let m(j) be the second derivative of -j**6/165 + 2*j**5/55 - 5*j**4/66 + 2*j**3/33 + 3*j. Factor m(w).
-2*w*(w - 2)*(w - 1)**2/11
Suppose 0 = 5*k + 17 + 13. Let i = k - -6. Let 0*c - 3/4*c**4 + 0 + 1/4*c**5 + i*c**2 + 1/2*c**3 = 0. Calculate c.
0, 1, 2
Let h(l) be the second derivative of -l**7/56 - l**6/40 + 3*l**5/80 + l**4/16 + 15*l. Factor h(y).
-3*y**2*(y - 1)*(y + 1)**2/4
Let z(t) be the third derivative of -t**5/150 + t**4/20 - 3*t**2 + 5*t. Let z(w) = 0. What is w?
0, 3
Let i(w) = 2*w + 3. Let c be i(-5). Let j = -6 - c. Suppose 0*g**2 + 3*g - j + 0*g**2 - 2*g**2 = 0. Calculate g.
1/2, 1
Let g(q) = 8*q**2 + 2*q. Let u(x) = 17*x**2 + 5*x. Let m(i) = -13*g(i) + 6*u(i). Let c(r) = 2*r**2 - 3*r. Let s(n) = -6*c(n) - 5*m(n). Factor s(f).
-2*f*(f + 1)
Determine x, given that -8/5*x**2 - 2/5*x + 0 + 8/5*x**4 + 6/5*x**5 - 4/5*x**3 = 0.
-1, -1/3, 0, 1
Let p = 100 - 97. Factor 5/2*r**4 - 7/2*r**p + r**2 + 0*r + 0.
r**2*(r - 1)*(5*r - 2)/2
Let h(d) be the first derivative of d**7/168 + d**6/120 + 3*d - 1. Let y(c) be the first derivative of h(c). Factor y(n).
n**4*(n + 1)/4
Let l(t) = -t**3 - 1. Let q(y) = 4*y**3 - 2*y - 6. Let r(n) = -2*l(n) + q(n). Let d(u) = -7*u**3 - u**2 + 3*u + 5. Let x(g) = 4*d(g) + 5*r(g). Factor x(z).
2*z*(z - 1)**2
Suppose -4*h = -4*q, 0*h = h - 3*q + 4. Suppose -4*o + 3*o = o. Solve o*y**h + 0*y + 0 + 3/2*y**3 = 0 for y.
0
Let g = 40 - 109/3. Suppose -m = 3*m - 12, 0 = 3*r + 4*m - 24. Solve -2/3 - 11/3*s + 3*s**r + g*s**3 - 7/3*s**2 = 0 for s.
-1, -2/9, 1
Let a = -19 + 21. What is z in 6*z**3 + 0*z**4 + 99*z**2 - 4*z + z**5 - 95*z**a + 4*z**4 + 5*z = 0?
-1, 0
Let h(z) = -z**3 + 8*z**2 - 6*z - 4. Let p be h(7). Let -3*s + 3*s**3 + p - 3*s**2 - 3*s + 3*s = 0. What is s?
-1, 1
Let t(d) be the first derivative of 4*d**5/5 - 10*d**4 + 116*d**3/3 - 64*d**2 + 48*d + 56. Factor t(a).
4*(a - 6)*(a - 2)*(a - 1)**2
Let w be 1 + (-27)/(-33) - (-4)/22. Factor 0 + 2/3*v + 1/3*v**w.
v*(v + 2)/3
Let 33/5*g - 42/5*g**2 - 6/5 = 0. What is g?
2/7, 1/2
Solve 8/9 + 26*a**2 + 18*a**3 + 80/9*a = 0.
-1, -2/9
Suppose 4*y = 3*y + 3. Let c(o) be the first derivative of -2/3*o**y - 4/7*o - 1 - 9/7*o**2. Factor c(x).
-2*(x + 1)*(7*x + 2)/7
Suppose 10*j**3 + 2*j**5 + j**4 - 3*j**4 - 4*j**2 - 6*j**4 = 0. Calculate j.
0, 1, 2
Let b(w) be the second derivative of -w**7/210 + w**6/120 - w**2 + 3*w. Let h(q) be the first derivative of b(q). Factor h(g).
-g**3*(g - 1)
Let s(g) be the third derivative of g**6/1020 - g**5/255 + g**4/204 + 3*g**2. Factor s(n).
2*n*(n - 1)**2/17
Factor -6*v**2 + 3*v**3 - v + 3*v**2 + 2 - v**3 + v**4 - v**3.
(v - 1)**2*(v + 1)*(v + 2)
Suppose 5*n = -4*w + 33, 8 = 5*w + 3*n - 17. Factor 0*f**5 + w*f**3 + 0*f + f - 3*f**4 + 3*f**2 + 4*f**5 - 7*f**3.
f*(f - 1)**2*(f + 1)*(4*f + 1)
Factor 0*j - 2/7*j**5 + 6/7*j**4 + 2/7*j**2 + 0 - 6/7*j**3.
-2*j**2*(j - 1)**3/7
Let i(v) be the first derivative of v**6/2 - 20. Factor i(r).
3*r**5
Let z be 4*3/(-2)*(-62)/1116. Factor -8/3*v + 2/3*v**3 - 4/3 - v**2 + z*v**4.
(v - 2)*(v + 1)**2*(v + 2)/3
Determine j, given that 0 - 1/2*j**2 - 1/4*j - 1/4*j**3 = 0.
-1, 0
Factor -21/2*x - 147/2 - 3/8*x**2.
-3*(x + 14)**2/8
Let u(n) be the third derivative of n**8/1008 + n**7/105 + n**6/45 - n**5/90 - n**4/8 - 2*n**3/9 + 22*n**2. Factor u(d).
(d - 1)*(d + 1)**3*(d + 4)/3
Suppose -i = -0*c + c, -i - 3*c - 6 = 0. Suppose 2*k**4 - 4*k**i + 4*k**5 + k - 4*k**2 - 2*k**5 + 2*k - k + 2 = 0. What is k?
-1, 1
Let p(o) be the first derivative of 0*o**5 - 1/3*o**6 + 0*o**3 - o**2 + o**4 + 0*o - 2. Find i, given that p(i) = 0.
-1, 0, 1
Let o(j) = -27*j**2 - 87*j - 111. Let r(t) = 7*t**2 + 22*t + 28. Let n(x) = -4*o(x) - 15*r(x). Suppose n(s) = 0. What is s?
-4, -2
Factor -3*b - 24 + 6*b**4 + 29*b**3 + 3*b**3 + 25*b**3 + 72*b**2.
3*(b + 1)**2*(b + 8)*(2*b - 1)
Let m(a) be the first derivative of a**6/15 - a**5/2 + 3*a**4/2 - 7*a**3/3 + 2*a**2 - 3*a + 3. Let i(r) be the first derivative of m(r). Factor i(c).
2*(c - 2)*(c - 1)**3
Let y(p) be the first derivative of p**9/3024 + p**8/1680 - p**7/840 - p**6/360 + p**3 - 1. Let s(w) be the third derivative of y(w). What is m in s(m) = 0?
-1, 0, 1
Suppose 3*b + 8 = 17. Let i(v) be the first derivative of 1 - 5/2*v**4 - 1/6*v**6 + v + v**5 + 10/3*v**b - 5/2*v**2. Factor i(c).
-(c - 1)**5
Let g = 2/141 - -272/705. Solve 6/5*j**2 + 2/5*j + g*j**4 + 0 + 6/5*j**3 = 0 for j.
-1, 0
Let i be 0 + (-1)/((-2)/4). Factor 0 + 2 - 2*u**2 + i - 2*u.
-2*(u - 1)*(u + 2)
Let i(v) be the first derivative of v**7/35 + v**6/30 - v**5/10 - v**4/6 - v**2/2 + 2. Let r(w) be the second derivative of i(w). Factor r(q).
2*q*(q - 1)*(q + 1)*(3*q + 2)
Let s(j) = j - 4. Let f be s(6). Factor 14*w + 5*w**2 + 6 + 5*w**2 + 0*w**f - 2*w**3 + 4*w**3.
2*(w + 1)**2*(w + 3)
Let n(c) = 4*c**3 - c**2 + c - 1. Let o be n(1). Let q(m) = -m**3 - 5*m**2 - 3*m - 15. Let a be q(-5). Solve a*s + 0 + 1/2*s**o + 1/2*s**2 = 0.
-1, 0
Let j(l) = l - 3. Let n be j(6). Let i be 0 + (8/(-8))/(2/(-6)). Factor -o**2 + 5 + 7*o - 3 + 0*o**n - 10*o - o**4 + i*o**3.
-(o - 2)*(o - 1)**2*(o + 1)
Factor -10/9 + 8/9*v + 2/9*v**2.
2*(v - 1)*(v + 5)/9
Factor -f**3 - 2*f**4 + f**4 + 2*f**3.
-f**3*(f - 1)
Let q(b) = b + 7. Let g be q(-5). Let i = 800/3519 + -2/391. Factor -i*x**g + 4/9 + 2/9*x.
-2*(x - 2)*(x + 1)/9
Let z(t) be the second derivative of 1/60*t**6 + 0*t**4 + 0 - 1/6*t**3 + 1/20*t**5 - 7*t - 1/4*t**2. Solve z(u) = 0.
-1, 1
Let t(r) be the first derivative of -r**4/2 - 2*r**3/3 - 6. Suppose t(x) = 0. What is x?
-1, 0
Let q(y) be the second derivative of -y**4/3 - 2*y**3/3 - 4*y. Determine p so that q(p) = 0.
-1, 0
Suppose 5*l = 5*u + 25, -2*l + 17 - 4 = -3*u. Factor 2/9*c**l - 2/9 + 0*c.
2*(c - 1)*(c + 1)/9
Let d be (-5)/9*(-4)/(-40)*-12. Find t, given that 0 + 2*t - d*t**2 = 0.
0, 3
Determine t, given that 1/7*t**3 + 0 + 0*t + 2/7*t**2 = 0.
-2, 0
What is n in 3/2*n**2 - 3/2*n + 0 = 0?
0, 1
Let t(c) = -4*c**3 - 17*c**2 + 4*c - 1. Let a = 27 + -45. Let x(z) = z**3 + 4*z**2 - z. Let b(m) = a*x(m) - 4*t(m). Factor b(h).
-2*(h - 1)*(h + 1)*(h + 2)
Suppose -34*q - 18 = -40*q. Factor -2/9*r**q - 8/3*r - 16/9 - 4/3*r**2.
-2*(r + 2)**3/9
Let s(i) = -i**3 + 5*i**2 + 6*i + 3. Let v be s(6). Let 72*t**4 - 78*t**v + t + 8*t**2 + 5*t + 2*t = 0. Calculate t.
-1/4, 0, 2/3
Suppose 4*i = 3*f + 3*i - 2, 4*i + 8 = 3*f. Let l be 