2 + 8*y + 4. Let p(j) = -10 - 13*j + 2 - 4*j - 9*j**2 + 2*j. Let s(t) = 7*k(t) + 4*p(t). Factor s(n).
-(n + 2)**2
Let y(b) be the second derivative of 0 + 0*b**2 - 1/7*b**3 + 5*b + 1/42*b**4. Let y(p) = 0. Calculate p.
0, 3
Let h(t) = 50*t + 154. Let q be h(-3). Let 0 - 7/4*j**5 + 0*j + 0*j**2 + 3*j**q + j**3 = 0. Calculate j.
-2/7, 0, 2
Let f(n) = -7*n**2 - 5*n + 2. Let y(k) = 41*k**2 + 29*k - 12. Let b(l) = -34*f(l) - 6*y(l). Factor b(j).
-4*(j + 1)*(2*j - 1)
Let x(m) be the third derivative of m**6/40 - m**4/8 - 8*m**2. Determine b, given that x(b) = 0.
-1, 0, 1
Let x(j) be the first derivative of -j**6/15 + 6*j**5/25 - j**4/5 - 4*j**3/15 + 3*j**2/5 - 2*j/5 + 7. Factor x(u).
-2*(u - 1)**4*(u + 1)/5
Let b(i) be the third derivative of i**6/480 + i**5/240 - i**4/96 - i**3/24 + 2*i**2. Let b(k) = 0. What is k?
-1, 1
Let y(p) be the second derivative of -1/120*p**6 - 1/2*p**2 + 1/6*p**3 + 2*p + 0 - 1/60*p**5 + 1/24*p**4. Let x(g) be the first derivative of y(g). Factor x(j).
-(j - 1)*(j + 1)**2
Let o(f) be the first derivative of -5*f**4/4 + 5*f**3/3 + 20*f**2 - 60*f - 40. Factor o(x).
-5*(x - 2)**2*(x + 3)
Let w(y) be the third derivative of -y**5/180 + y**4/12 - 5*y**3/18 - 24*y**2. Solve w(d) = 0 for d.
1, 5
Let 0*t**5 - 28*t**4 + 2*t**5 + 36*t**4 + 4*t**2 + 10*t**3 = 0. What is t?
-2, -1, 0
Let d(w) be the first derivative of 0*w + 3*w**5 - 3/2*w**4 - 5*w**3 + 3*w**2 - 3. Suppose d(a) = 0. What is a?
-1, 0, 2/5, 1
Let f(i) = i**2 - 3*i + 3. Let y(p) = p**2 - p + 3. Let a be y(0). Let j be f(a). Factor -16*l**3 - 2*l**2 + 32*l**5 + 2*l**j - 5*l**4 - 11*l**4.
2*l**2*(l - 1)*(4*l + 1)**2
Let z = -40 + 43. Factor -1/4*m**z + 1/4*m + 1/2 - 1/2*m**2.
-(m - 1)*(m + 1)*(m + 2)/4
Let x(c) be the first derivative of -484*c**3/3 - 44*c**2 - 4*c + 35. Suppose x(h) = 0. Calculate h.
-1/11
Let c(j) = j**5 - 3*j**4 + 7*j**3 + 5*j**2. Let p(v) = -2*v**5 + 2*v**4 - 6*v**3 - 6*v**2. Let x(f) = 6*c(f) + 5*p(f). Find z such that x(z) = 0.
-3, 0, 1
Factor 0 + 0*f + 6/7*f**4 - 12/7*f**2 + 6/7*f**3.
6*f**2*(f - 1)*(f + 2)/7
Let g(o) be the second derivative of -1/6*o**4 + 0*o**3 + 1/42*o**7 - 2/15*o**6 + 1/4*o**5 + 0*o**2 + o + 0. Factor g(k).
k**2*(k - 2)*(k - 1)**2
Let w(r) = r**2 - 8*r - 5. Let m(v) = 3*v - 7*v + v + v**2 - 4*v - 4. Let a(x) = 6*m(x) - 5*w(x). Factor a(s).
(s - 1)**2
Suppose 3*r - 7*r + 8 = 0. Solve -2*s**4 - 6 - s**4 + 5*s + s**2 + 8*s**r - 3*s**3 - 2*s = 0 for s.
-2, -1, 1
Let a(f) be the first derivative of 1/7*f**2 - 4/21*f**3 + 0*f - 5 + 1/14*f**4. Find t, given that a(t) = 0.
0, 1
Let z(v) be the second derivative of 0*v**5 - 1/30*v**6 - 5*v + 0 + 0*v**2 - 1/63*v**7 + 0*v**3 + 1/36*v**4. Determine p, given that z(p) = 0.
-1, 0, 1/2
Let s be 44/(-33) + (-20)/(-6). Suppose -2*w + 6 = -s. Factor 3*o**2 - 15/2*o**3 + 6*o**w + 0*o - 3/2*o**5 + 0.
-3*o**2*(o - 2)*(o - 1)**2/2
Let p(y) be the second derivative of -y**4/21 + 5*y**3/7 - y**2 + 2*y + 15. Find s, given that p(s) = 0.
1/2, 7
Let r(w) be the third derivative of -w**6/660 - w**5/165 - w**4/132 + 6*w**2. Factor r(t).
-2*t*(t + 1)**2/11
Let v = 617 - 103655/168. Let u(p) be the second derivative of -p + 0 + v*p**7 + 1/80*p**5 + 1/60*p**6 + 0*p**3 + 0*p**2 + 0*p**4. Factor u(b).
b**3*(b + 1)**2/4
Let v(p) be the third derivative of -1/105*p**6 - 1/735*p**7 + 0*p**3 - 6*p**2 - 1/42*p**4 + 0 + 0*p - 1/42*p**5. Find s such that v(s) = 0.
-2, -1, 0
Let d(y) be the second derivative of y**8/13440 + y**7/840 + y**6/120 + y**5/30 + y**4/12 - 2*y. Let k(t) be the third derivative of d(t). Factor k(i).
(i + 2)**3/2
Suppose 0 = 3*a + h - 3, a - 6 = 6*a - 2*h. Suppose -6 = -6*t + 2*t + 2*w, 4*t + 5*w - 27 = a. Solve 1/2*v**t - v**2 + 0 + 1/2*v = 0 for v.
0, 1
Factor 0 - b - 22*b**2 + 23*b**2 + 0.
b*(b - 1)
Let q(g) = -g**2 - 9. Let k(i) = -2*i**2 - 22. Let d(b) = -5*k(b) + 12*q(b). Solve d(a) = 0 for a.
-1, 1
Suppose 3 = a, 4*r + 5*a = -6 + 33. Factor 0*c**2 + 0 + 0*c**r + 1/2*c**4 + 1/4*c**5 + 0*c.
c**4*(c + 2)/4
Let w be ((-3)/36)/((-6)/352). Let i = -7/18 + w. Determine j so that 15*j**2 + 27/2*j**3 + 4/3 + 22/3*j + i*j**4 = 0.
-1, -2/3
Let t be 6/(-5)*(-30)/4. Let o(r) = r**2 - 7*r - 17. Let j be o(t). Solve j - 1/2*v**2 - 1/2*v = 0 for v.
-2, 1
Let o(z) be the third derivative of z**8/1176 - z**7/735 - z**6/140 + z**5/42 - z**4/42 - 4*z**2 - 5. Factor o(m).
2*m*(m - 1)**3*(m + 2)/7
Factor 135*r**2 + r**3 - r - 138*r**2 + r.
r**2*(r - 3)
Let d(n) be the first derivative of 196*n**5/5 - 28*n**4 - 60*n**3 + 56*n**2 - 16*n - 8. Factor d(j).
4*(j - 1)*(j + 1)*(7*j - 2)**2
Let s(y) = -7*y**2 - 3*y + 9. Let p(h) = -6*h**2 - 2*h + 8. Suppose 2*d - 14 + 4 = 0. Let u(i) = d*p(i) - 4*s(i). What is g in u(g) = 0?
-1, 2
Let o(y) be the first derivative of 3 + 4/7*y - 3/7*y**2 + 2/21*y**3. Factor o(a).
2*(a - 2)*(a - 1)/7
Let b(n) be the third derivative of 0*n**3 + 1/72*n**4 + 0 + 0*n - 1/36*n**5 + 1/90*n**6 - 2*n**2. Factor b(a).
a*(a - 1)*(4*a - 1)/3
Suppose 0 = 5*d - d - 5*m - 27, m = -3. What is j in -6*j**2 - 5 + 15*j - 3*j**3 + 3*j**2 + d - 7 = 0?
-3, 1
Let m(t) be the first derivative of t**6/12 + 3*t**5/5 + t**4 - t**3/3 - 9*t**2/4 - 2*t + 29. Factor m(b).
(b - 1)*(b + 1)**3*(b + 4)/2
Let y(g) be the second derivative of 3*g**5/20 + g**4/2 + 8*g. Find w such that y(w) = 0.
-2, 0
Let m = -25 - -46. Let h = 43/2 - m. Factor 0 - h*i**4 - 3/2*i**2 - 3/2*i**3 - 1/2*i.
-i*(i + 1)**3/2
Let x(o) be the second derivative of o**6/12 + 4*o**5/15 + o**4/12 - 2*o**3/3 - o**2/2 + 4*o. Let w(h) be the first derivative of x(h). Factor w(v).
2*(v + 1)**2*(5*v - 2)
Let s(q) be the first derivative of -q**7/105 + q**6/60 + q**5/30 - q**4/12 + q**2/2 - 7. Let x(n) be the second derivative of s(n). Let x(r) = 0. Calculate r.
-1, 0, 1
Let f = -3 - -6. Factor -5*a**f + 3*a**3 - 5*a**2 + 3*a**2.
-2*a**2*(a + 1)
Let p = 8 + -4. Factor -q**5 + 0*q**3 + 0*q**4 + q**2 + p*q**3 - 7*q**3 + 3*q**4.
-q**2*(q - 1)**3
Suppose -10*f**3 + 5*f**4 + 2*f**3 + 40*f**2 + 33*f**3 + 20*f = 0. What is f?
-2, -1, 0
Determine c, given that -18/5 + 6/5*c**2 - 12/5*c = 0.
-1, 3
Let u be (0 - 1)/((-15)/60). Factor 3/2 - 6*m**3 - 6*m + 3/2*m**u + 9*m**2.
3*(m - 1)**4/2
Let -3*s + s**3 + 4*s - 2 + s**2 - 2*s + 1 = 0. What is s?
-1, 1
Let w(j) be the first derivative of 0*j + 1 - 1/2*j**3 - 3/8*j**4 - 1/10*j**5 - 1/4*j**2. Suppose w(c) = 0. Calculate c.
-1, 0
Factor 6*u**2 - 3*u**4 + 10*u**3 - 6*u**3 - 7*u**3.
-3*u**2*(u - 1)*(u + 2)
Suppose -8 - 1 = 4*m - 5*s, 7 = -2*m + 3*s. Factor 0 + 4/5*o**3 + 2/5*o**m - 2/5*o**2 - 4/5*o.
2*o*(o - 1)*(o + 1)*(o + 2)/5
Factor 0 + 3/5*i**2 - 2/5*i - 1/5*i**3.
-i*(i - 2)*(i - 1)/5
Suppose 12 = -0*b + 4*b. Suppose 5*l - l = -12, 5*y = -4*l - 12. Factor 0*z - 1/5*z**b + y + 1/5*z**2.
-z**2*(z - 1)/5
Let p(j) be the second derivative of -j**5/80 - j**4/48 + j**3/12 - 4*j. Let p(w) = 0. Calculate w.
-2, 0, 1
Find b such that 5/2*b**3 - 13/2*b**2 + 2*b + 2 = 0.
-2/5, 1, 2
Let n(a) be the second derivative of -a**7/525 + a**5/150 - a**2 + a. Let v(m) be the first derivative of n(m). Factor v(o).
-2*o**2*(o - 1)*(o + 1)/5
Let d(l) be the first derivative of l**4/16 - 5*l**3/12 + l**2 - l + 26. Solve d(y) = 0.
1, 2
Let t(i) be the first derivative of 2*i**5/5 - 7*i**4/2 + 22*i**3/3 - 5*i**2 + 33. Factor t(s).
2*s*(s - 5)*(s - 1)**2
Let w(z) = -z**2 + z - 1. Let m(q) = 2*q**2 - 35*q - 70. Let h(n) = -m(n) - 5*w(n). What is b in h(b) = 0?
-5
Factor -4/3*o + 2/3 + 2/3*o**2.
2*(o - 1)**2/3
Let u = -77 + 77. Factor 4/9*c**2 + 0 + u*c + 2/9*c**3.
2*c**2*(c + 2)/9
Let v(w) be the second derivative of w**4/12 + w**3/6 - w. Let n be v(-1). Suppose 0 + n*a - 1/2*a**2 + a**3 - 1/2*a**4 = 0. Calculate a.
0, 1
Let -198*b**3 - 12*b**2 + 78*b**3 + 78*b**3 + 58*b**3 - 2*b**4 - 50 - 80*b = 0. What is b?
-1, 5
Let d(m) be the first derivative of -3 - 6/5*m**2 + 1/25*m**5 - 3/10*m**4 + 13/15*m**3 + 4/5*m. Factor d(o).
(o - 2)**2*(o - 1)**2/5
Let m(b) be the first derivative of 2*b**5/25 + 11*b**4/30 + b**3/3 - 2*b**2/5 - b + 4. Let y(h) be the first derivative of m(h). Factor y(s).
2*(s + 1)*(s + 2)*(4*s - 1)/5
Let n(p) = 10*p + 82. Let q be n(-8). Factor 2/5 + 0*i - 2/5*i**q.
-2*(i - 1)*(i + 1)/5
Let m(u) = -11*u**4 + 7*u**3 - 5*u**2 - 9. Let n(c) = -5*c**4 + 3*c**3 - 2*c**2 - 4. Let h(l) = -4*m(l) + 9*n(l). Factor h(k).
-k**2*(k - 1)