+ 0*s**3 - s**2 + 0*s + 0*s**4. Factor x(f).
f**2/4
Factor 0 + 1/3*w**2 + 2/3*w.
w*(w + 2)/3
Let n(o) = -2*o**5 + 2*o**3 + o**2 - 1. Let s(k) = -2*k**4 + 4*k**4 - k - k**5 + 2*k**3 - k**4 - 1. Let j(t) = -2*n(t) + 3*s(t). Factor j(y).
(y - 1)*(y + 1)**4
Let y(n) be the first derivative of n**3/21 - n**2/7 - 4. Factor y(p).
p*(p - 2)/7
Factor -1/4*q**2 + 1/2*q + 3/4.
-(q - 3)*(q + 1)/4
Let z(c) be the second derivative of c**4/78 + 10*c**3/39 + 25*c**2/13 - 26*c. Find w such that z(w) = 0.
-5
Let m(o) be the second derivative of o**6/660 - o**5/132 + o**4/66 - o**3/6 - 2*o. Let r(x) be the second derivative of m(x). Suppose r(b) = 0. What is b?
2/3, 1
Let l be (3 - 3)*(13/(-2) - -7). Factor 0*z - 2/3*z**2 + 1/3 + l*z**3 + 1/3*z**4.
(z - 1)**2*(z + 1)**2/3
Factor w**3 + 11/3*w - 10/3*w**2 - 4/3.
(w - 1)**2*(3*w - 4)/3
Let j be 4 + (-3 - 4780/(-45)). Let c = j + -107. Factor 0*l + 0 + c*l**2.
2*l**2/9
Let q(f) be the second derivative of -f**4/4 - f**3 + 9*f + 1. Let q(m) = 0. What is m?
-2, 0
Factor 120 - 135 - 2*p**2 - 16*p - 3*p**2 - 4*p.
-5*(p + 1)*(p + 3)
Let l = 10194/955 - -24/191. What is a in -8/5*a + l*a**2 + 14/5*a**4 - 8/5 - 52/5*a**3 = 0?
-2/7, 1, 2
Let k(g) = g**2 - 5*g + 2. Let w be k(3). Let z be 1*(0 + 0/w). Let 0 - 1/2*f**5 + 0*f + 0*f**3 + z*f**2 + 1/2*f**4 = 0. What is f?
0, 1
Suppose -2 = m - 2*m. Find g such that -10*g**2 + 13*g**m - 4*g - 2*g = 0.
0, 2
Let l(r) = r**4 - 5*r**3 - r**2 - 3*r. Let p(s) = 3*s**4 - 11*s**3 - s**2 - 7*s. Let t(z) = 5*l(z) - 2*p(z). Let t(i) = 0. What is i?
-1, 0
Let a(s) be the third derivative of -s**8/224 - s**7/84 - s**6/240 + s**5/120 + 10*s**2. Solve a(m) = 0.
-1, 0, 1/3
Suppose -q = 5*r - 25, 4*q + 2*r - 14 + 4 = 0. Determine p, given that q*p**4 + 0 - 2/3*p**5 + 4/3*p**3 - 2/3*p + 0*p**2 = 0.
-1, 0, 1
Let q(h) = 4*h**2 + 8*h + 9. Let f(i) = -4*i**2 - 8*i - 10. Let g(y) = -5*f(y) - 6*q(y). Factor g(d).
-4*(d + 1)**2
Let r be (-3)/6 + 22/4. Let u = -11 + 17. Suppose -4 + 0*y - u*y - r*y**3 + 24*y**2 - 9*y**3 = 0. What is y?
-2/7, 1
What is i in -4*i**3 + 2 - 28*i + 660*i**2 - 680*i**2 - 9 - 5 = 0?
-3, -1
Suppose -y - 6 = -5*k + 8, 4*k + y - 13 = 0. Suppose k*v = -v. Solve v + 0*s**2 + 1/2*s**3 + s**4 + 1/2*s**5 + 0*s = 0.
-1, 0
Let o(k) be the third derivative of 0*k + 1/210*k**5 - 7*k**2 - 1/42*k**4 + 1/21*k**3 + 0. Find h, given that o(h) = 0.
1
Let p(j) be the first derivative of -j**4/2 - 88*j**3/21 - 75*j**2/7 - 36*j/7 - 34. Suppose p(m) = 0. What is m?
-3, -2/7
Let v = 2087/3 + -693. Solve 0*t - t**4 - 2*t**2 + 1/3 + v*t**3 = 0.
-1/3, 1
Let t(i) be the third derivative of i**7/84 + 13*i**6/160 + 49*i**5/240 + i**4/4 + i**3/6 - 12*i**2. Find k, given that t(k) = 0.
-2, -1, -1/2, -2/5
Suppose 9 = 2*z - 5. Solve -y + 44 + z*y + y**2 - 35 = 0.
-3
Let s(r) be the second derivative of r**7/63 + 7*r**6/90 + r**5/12 - 5*r**4/36 - 7*r**3/18 - r**2/3 - 11*r. Solve s(w) = 0.
-2, -1, -1/2, 1
Factor -4*d - d + 18 - 5 - 5*d**2 - 3.
-5*(d - 1)*(d + 2)
Let b(n) be the third derivative of n**7/2520 - n**3/2 - 4*n**2. Let j(x) be the first derivative of b(x). Factor j(u).
u**3/3
Let f(y) = 9*y**4 + 6*y**3 - 12*y**2 + 6*y + 3. Let u(r) = -r**4 - r**3 + r**2. Let x(n) = -f(n) - 12*u(n). Factor x(v).
3*(v - 1)*(v + 1)**3
Let j = 917/1362 + -3/454. Factor -16/3*l - 32/3*l**2 - j.
-2*(4*l + 1)**2/3
Let i(z) be the first derivative of z**5/150 - z**4/60 - 2*z**2 - 4. Let o(u) be the second derivative of i(u). Factor o(q).
2*q*(q - 1)/5
Let j(v) = 3*v**5 - v**4 - 4*v**2 + 4. Let f(p) = 9*p**5 - 2*p**4 - 11*p**2 + 11. Let l(c) = -4*f(c) + 11*j(c). Suppose l(a) = 0. Calculate a.
-1, 0
Factor -1 - 1/4*g**2 + g.
-(g - 2)**2/4
Let a = -15 - -27. Suppose -a - 13 = n - 5*x, 0 = -2*n - x + 5. Factor -4/5*w - 4/5*w**2 + n - 1/5*w**3.
-w*(w + 2)**2/5
Let -s**5 + 0*s - 1/3*s**3 + 0*s**2 + 0 + 4/3*s**4 = 0. What is s?
0, 1/3, 1
Let a = -7 + 11. Let t(z) be the first derivative of -1/2*z - 1/4*z**3 - 7/16*z**a - 2 + 7/8*z**2 + 1/4*z**5. Factor t(f).
(f - 1)**2*(f + 1)*(5*f - 2)/4
Let n(a) be the third derivative of -4*a**7/105 + 13*a**6/60 - a**5/2 + 7*a**4/12 - a**3/3 + 32*a**2. Factor n(l).
-2*(l - 1)**3*(4*l - 1)
Let x(a) = -a**2 + 5*a - 1. Let d be x(4). Factor -11 + 11 - d*t**4.
-3*t**4
Let o(n) = 2*n**4 + 3*n**3 - n**2 + 3*n - 1. Let r(z) = -5*z**4 - 8*z**3 + 2*z**2 - 8*z + 3. Let i(q) = -8*o(q) - 3*r(q). Determine b so that i(b) = 0.
-1, 1
Let d(t) be the third derivative of t**8/2520 - t**6/180 - t**5/90 + t**3/3 - 4*t**2. Let m(y) be the first derivative of d(y). Factor m(r).
2*r*(r - 2)*(r + 1)**2/3
Let -12/7*m**2 - 9/7*m + 3/7*m**3 + 54/7 = 0. What is m?
-2, 3
Let a(j) be the second derivative of 4*j + 9/100*j**5 - 2/5*j**3 + 0*j**2 + 0 - 1/50*j**6 + 0*j**4. Let a(p) = 0. Calculate p.
-1, 0, 2
Let i(r) be the first derivative of -98*r**3/15 + 56*r**2/5 - 32*r/5 + 4. Suppose i(a) = 0. What is a?
4/7
Let o(t) be the third derivative of t**7/735 - t**5/70 + t**4/42 + 6*t**2 + 1. Factor o(z).
2*z*(z - 1)**2*(z + 2)/7
Let p be ((-2)/(-12))/(10/90). Let -3/2*u**3 + p*u**5 - u**2 + u**4 + 0 + 0*u = 0. Calculate u.
-1, -2/3, 0, 1
Let h be 63/(-56) + 39/26. Find b such that 0*b + 0 + 3/8*b**5 + 3/8*b**4 - h*b**3 - 3/8*b**2 = 0.
-1, 0, 1
Suppose 0 - 6/7*z**3 + 2/7*z**2 - 2/7*z**4 + 2/7*z**5 + 4/7*z = 0. What is z?
-1, 0, 1, 2
Let a(s) = 2*s + 6. Let l be a(-4). Let z(f) = 25*f**3 + 16*f**2 - 9*f. Let d(i) = 6*i**3 + 4*i**2 - 2*i. Let r(w) = l*z(w) + 9*d(w). Factor r(g).
4*g**2*(g + 1)
Let k(b) be the second derivative of -b**6/1260 - b**5/105 - b**4/21 + b**3/3 + 4*b. Let n(i) be the second derivative of k(i). Factor n(j).
-2*(j + 2)**2/7
Let w(p) be the second derivative of p**7/315 - p**6/180 - p**5/30 + p**4/36 + 2*p**3/9 - p**2/2 + 3*p. Let j(v) be the first derivative of w(v). Factor j(r).
2*(r - 2)*(r - 1)*(r + 1)**2/3
Let c be (-2 + 66/27)/2. Determine m, given that -2/3*m - 4/9 - c*m**2 = 0.
-2, -1
Let h(c) be the first derivative of -c**7/1365 + c**6/260 - c**5/195 + 3*c**2/2 - 2. Let w(r) be the second derivative of h(r). Let w(q) = 0. What is q?
0, 1, 2
Let u(o) be the first derivative of -2*o**3/21 + o**2/7 + 12*o/7 + 2. Let u(r) = 0. Calculate r.
-2, 3
Suppose 2*d + d = 0. Let h(s) be the first derivative of 1/16*s**4 + 0*s**2 - 2 + 1/20*s**5 + 0*s**3 + d*s. Factor h(b).
b**3*(b + 1)/4
Factor 3/2*t**4 + 15/2*t**3 + 21/2*t**2 + 9/2*t + 0.
3*t*(t + 1)**2*(t + 3)/2
Determine p, given that 2/11*p**4 - 6/11*p**3 + 0*p**2 + 0 + 8/11*p = 0.
-1, 0, 2
Solve u**2 + 18 - 3*u - 28 + 12 = 0.
1, 2
Let l = -51 + 51. Factor 2*g**2 + 1/2*g**3 + l + 2*g.
g*(g + 2)**2/2
Let u(t) be the third derivative of t**8/16800 + t**7/6300 - t**6/900 - 5*t**4/24 + 2*t**2. Let c(p) be the second derivative of u(p). Factor c(o).
2*o*(o - 1)*(o + 2)/5
Let w(a) be the third derivative of a**6/20 + a**5/30 - a**2. Factor w(m).
2*m**2*(3*m + 1)
What is s in 1/2 + 1/4*s - 1/4*s**2 = 0?
-1, 2
Let c = 1001/4 + -45043/180. Let m(h) be the third derivative of 0 + h**2 - 1/12*h**4 + 2/9*h**3 + 0*h + c*h**5. Factor m(v).
2*(v - 2)*(v - 1)/3
Let v(c) be the first derivative of 0*c + 3/10*c**4 - 1/5*c**3 + 0*c**2 - 1 - 3/25*c**5. Solve v(k) = 0.
0, 1
Solve 1 - 3/2*w + 1/2*w**3 + 0*w**2 = 0 for w.
-2, 1
Let j(o) be the first derivative of -3*o**4/4 - 2*o**3 + 3*o**2/2 + 6*o + 6. Find n such that j(n) = 0.
-2, -1, 1
Let a(b) = 15*b**3 + 68*b**2 + 88*b + 22. Let v(s) = -45*s**3 - 205*s**2 - 266*s - 65. Let r(y) = -7*a(y) - 2*v(y). Factor r(w).
-3*(w + 2)**2*(5*w + 2)
Find k such that -3*k**2 - 21 - 10 - 24*k - 17 = 0.
-4
Let q(t) be the third derivative of 0*t**3 + 1/60*t**5 + 3*t**2 + 0 + 0*t + 0*t**4 - 1/672*t**8 + 1/240*t**6 - 1/210*t**7. Let q(n) = 0. What is n?
-2, -1, 0, 1
Let h(b) be the third derivative of -b**8/672 + b**7/420 + b**6/120 - b**5/60 - b**4/48 + b**3/12 - 7*b**2. Factor h(t).
-(t - 1)**3*(t + 1)**2/2
Let s(f) = -f**2 + 15*f + 19. Let t be s(16). Let i(x) be the first derivative of 2/27*x**t + 0*x**2 + 0*x - 3. Solve i(g) = 0 for g.
0
Determine t so that 3/2 + 7/4*t + 1/4*t**2 = 0.
-6, -1
Let h(i) = 3*i**2 - i. Let a be h(1). Factor -1 - s**a + 0*s + s + 3.
-(s - 2)*(s + 1)
Let g = 41/144 - 1/16. Factor 2/9*n**3 + 0 - 2/9*n**5 + 2/9*n**2 - g*n**4 + 0*n.
-2*n**2*(n - 1)*(n + 1)**2/9
Let m(n) be the first derivative of 0*n**2 + 1/3*n