 0. Calculate q.
-1/4, 0, 1
Let o(a) be the second derivative of -a**7/42 + a**6/30 + a**5/20 - a**4/12 + 22*a. Factor o(z).
-z**2*(z - 1)**2*(z + 1)
Let c(y) = 36*y**4 - 80*y**3 + 57*y**2 - 13*y. Let g(m) = -18*m**4 + 40*m**3 - 29*m**2 + 7*m. Let v(n) = 3*c(n) + 5*g(n). Factor v(h).
2*h*(h - 1)**2*(9*h - 2)
Suppose -8 = -x - 3. Let d = x + -3. Factor 1/2*b**4 - 1/2*b**3 + 0 + 0*b + 0*b**d.
b**3*(b - 1)/2
Let w = 77/8 + 15/8. Let j = -1215/2 + 621. Factor -7/2*p**4 + 13/2*p - j*p**2 + w*p**3 - 1.
-(p - 1)**3*(7*p - 2)/2
Suppose -15 + 3 = -3*v - 3*k, -2*v + k = 4. Suppose 0*s**3 + v*s + 0 + 2/5*s**2 - 2/5*s**4 = 0. What is s?
-1, 0, 1
Let i = 3 - -5. Let -4 - 4*s**5 + 0*s**5 - 8*s**3 + 12*s - i*s**2 + 12*s**4 + 0 = 0. Calculate s.
-1, 1
Let v = -612 + 615. Factor 10/3*z**v + 16/3*z**2 + 2/3*z - 4/3.
2*(z + 1)**2*(5*z - 2)/3
Let t(u) be the second derivative of -14*u**6/15 - 9*u**5/5 + 5*u**4/3 + 6*u**3 + 4*u**2 + 3*u. Suppose t(n) = 0. What is n?
-1, -2/7, 1
Suppose -2*p + 0*p - 4*c = -14, 3*c - 9 = -p. Let i = -159 - -159. Factor -4/5*j**p + i*j**2 + 2/5 + 4/5*j - 2/5*j**4.
-2*(j - 1)*(j + 1)**3/5
Let f(j) be the third derivative of -j**5/360 + j**4/144 - 4*j**2. Factor f(r).
-r*(r - 1)/6
Let o = -245/6 - -41. Let p(u) be the second derivative of 1/12*u**3 + 1/10*u**5 + u + 0 - o*u**4 + 0*u**2. Determine c, given that p(c) = 0.
0, 1/2
Let s(w) = 3*w + 6. Let v(b) = b**2 - b - 1. Let a(x) = s(x) - v(x). Let c be a(5). Solve 0*h**c - 2*h**2 + 0*h**3 - 2*h**3 = 0 for h.
-1, 0
Let k be (-2)/(-4)*60/10. Let f(p) be the second derivative of 0*p**2 + 1/80*p**5 - 2*p + 1/48*p**4 + 0*p**k + 0. Solve f(s) = 0.
-1, 0
Solve 0*g - 1/5*g**2 + 1/5 = 0.
-1, 1
Factor -1/4*j**2 - 1/4*j + 1/2.
-(j - 1)*(j + 2)/4
Suppose 0 = -5*l - 5*o - 5, -2*o = -2*l + 9 + 5. Let s = -23/10 - -181/70. Find i, given that 0 + 2/7*i**2 - s*i**l + 0*i = 0.
0, 1
Let h be 1/((-15)/9 + 2). Factor -2*w**4 + 4*w**3 + 5*w**2 - w**2 + 4*w - 3*w - 2 - h*w - 2*w**5.
-2*(w - 1)**2*(w + 1)**3
Let w(y) = -2*y**3 - 2*y**2 + 2*y + 2. Let k(r) = -r**4 - 4*r**3 - 4*r**2 + 4*r + 5. Let g(n) = 2*k(n) - 5*w(n). Factor g(x).
-2*x*(x - 1)**2*(x + 1)
Let n(k) be the first derivative of k**4/72 + k**3/36 - 3*k - 4. Let u(y) be the first derivative of n(y). Find a such that u(a) = 0.
-1, 0
Let m(d) be the first derivative of 4*d**3/3 - 1. Let j(l) = -3*l**2. Let a = -11 - -5. Let c(x) = a*j(x) - 5*m(x). Factor c(r).
-2*r**2
Let 4/3*t**3 - 2/3 - 4/3*t + 2/3*t**2 = 0. Calculate t.
-1, -1/2, 1
Let j(s) be the second derivative of s**6/150 + s**5/25 + s**4/12 + s**3/15 - 3*s. Factor j(p).
p*(p + 1)**2*(p + 2)/5
Let l(o) be the first derivative of 4*o**3/3 - 6*o**2 - 16*o - 14. Find u such that l(u) = 0.
-1, 4
Let a be (-10)/(-60) + 1/30. Let k(u) be the first derivative of 0*u**3 - a*u**2 + 1/10*u**4 - 1/25*u**5 + 1/5*u + 2. What is q in k(q) = 0?
-1, 1
Let t(h) be the first derivative of -2*h**6/3 - 18. Factor t(k).
-4*k**5
Let p(u) = -u**3 + u**2 + 9*u - 7. Let f be p(3). Factor 39/4*m + 69/4*m**3 - 21/4*m**4 - 81/4*m**f - 3/2.
-3*(m - 1)**3*(7*m - 2)/4
Let 5/4*g**4 + 1/4*g**2 + g**3 + 0 + 0*g + 1/2*g**5 = 0. Calculate g.
-1, -1/2, 0
Let v(n) be the third derivative of -n**6/360 + n**5/120 - n**3/6 + n**2. Let j(o) be the first derivative of v(o). Solve j(k) = 0.
0, 1
Suppose 12 = -z + 5*o, 4*z + 0*o - 3*o = 3. Factor 0 + 0*w**2 + 1/4*w**z - 1/4*w.
w*(w - 1)*(w + 1)/4
Let f(d) be the third derivative of -1/140*d**7 + 0*d + 0*d**3 + 0*d**4 + 0 - 11/720*d**6 + 3*d**2 - 1/180*d**5. Determine k, given that f(k) = 0.
-1, -2/9, 0
Let u = 0 - -5. Factor k**3 + 3*k**u + 3*k**4 + k**5 - k**4 - 3*k**5.
k**3*(k + 1)**2
Let h(r) = -4*r**3 + 8*r + 6. Let c(p) = -p**4 + 19*p**3 - p**2 - 41*p - 31. Let y(x) = -4*c(x) - 22*h(x). Factor y(f).
4*(f - 1)*(f + 1)**2*(f + 2)
Determine g so that -16/3 - 73/3*g**2 - 11/3*g**4 + 56/3*g + 43/3*g**3 + 1/3*g**5 = 0.
1, 4
Let g(b) = 3*b - 1 - b + 7*b**2 - 5 - b. Let o(k) = 48*k**2 + 6*k - 42. Let d(c) = 27*g(c) - 4*o(c). Let d(f) = 0. What is f?
-1, 2
Solve -2*c**2 + 0*c**2 + c**2 - 2*c - 3 + 2 = 0 for c.
-1
Let 14/3*r - 20/3 - 2/3*r**2 = 0. What is r?
2, 5
Let h(v) = v**2 - v + 1. Let w be h(1). Let z be (1 - 1)/(w/(-1)). Factor -3*o**3 - o - 4*o**2 + z*o**3 + 0*o**3.
-o*(o + 1)*(3*o + 1)
Let r(w) be the second derivative of 25*w**7/441 - w**6/63 - 23*w**5/105 + w**4/9 + w**3/3 - 3*w**2/7 - 2*w + 2. Find m such that r(m) = 0.
-1, 3/5, 1
Let d = 49 + -33. Suppose -s + d = 3*s. Factor 5/3*m + 1/3*m**5 - 1/3 + 10/3*m**3 - 5/3*m**s - 10/3*m**2.
(m - 1)**5/3
Let n(y) = -y**2 - 5*y. Let d(v) = -3*v**2 - 18*v. Let t(f) = f**2 + 9*f - 5. Let g be t(-9). Let o(z) = g*d(z) + 18*n(z). Factor o(u).
-3*u**2
Let j(p) = -p**3 - 4*p**2 - 3*p. Let r be j(-3). Let h(o) be the second derivative of 1/9*o**4 + 1/9*o**3 - 1/30*o**5 - 2/3*o**2 - 2*o + r. Factor h(u).
-2*(u - 2)*(u - 1)*(u + 1)/3
Let u(h) = -6*h**3 + 50*h**2 + 96*h + 40. Let z(y) = y**3 - 10*y**2 - 19*y - 8. Let c(j) = -3*u(j) - 16*z(j). What is n in c(n) = 0?
-2, -1
Factor -21/8*f**4 + 3/4*f**2 + 0*f + 0 - 15/8*f**3.
-3*f**2*(f + 1)*(7*f - 2)/8
Suppose 27*z**3 + 4*z**5 - 3*z**5 + 21*z**2 + 0*z**5 + 2*z**5 + 6*z + 15*z**4 = 0. Calculate z.
-2, -1, 0
Let l be (2/(-2))/(2/(-4)). Factor -12 + 14 - 18*o - 3*o**l - 29.
-3*(o + 3)**2
Factor -2*d**3 - 20*d**2 - 21*d**3 + 39*d - 7*d**4 - 43*d.
-d*(d + 1)*(d + 2)*(7*d + 2)
Find n, given that -5*n**4 + 10*n**3 - n**4 + 11*n**4 + n**2 + 4*n**2 = 0.
-1, 0
Solve -2/9*j**4 - 2/9*j - 2/3*j**3 + 0 - 2/3*j**2 = 0.
-1, 0
Let p(g) = -g**2 - g - 1. Let w(f) = -4. Let q(b) = 1. Let u(v) = 6*q(v) + w(v). Let n(y) = 2*p(y) + 3*u(y). Factor n(i).
-2*(i - 1)*(i + 2)
Let r(f) be the first derivative of f**6/21 - 4*f**5/35 + 4*f**3/21 - f**2/7 + 14. Factor r(v).
2*v*(v - 1)**3*(v + 1)/7
Let z = 1110 + -5623/5. Let u = z + 15. Solve 0 + 0*i - u*i**2 = 0 for i.
0
Let t(n) be the first derivative of 0*n - 2/7*n**3 + 1/7*n**4 + 1/7*n**2 + 3. Factor t(g).
2*g*(g - 1)*(2*g - 1)/7
Let b(z) be the third derivative of z**9/11340 + z**8/3360 + z**7/3780 - 5*z**4/24 - z**2. Let d(x) be the second derivative of b(x). Let d(j) = 0. What is j?
-1, -1/2, 0
Let p(j) be the third derivative of 2*j**7/245 - j**6/105 - 3*j**5/35 + 8*j**3/21 + 19*j**2. Let p(h) = 0. Calculate h.
-1, 2/3, 2
Let f(s) be the second derivative of -s**6/360 + s**5/180 + 5*s**2/2 - s. Let z(i) be the first derivative of f(i). Find l such that z(l) = 0.
0, 1
Let f = 23 + -36. Let x = f + 40/3. Find p, given that -1/3*p - 1/3 + x*p**2 + 1/3*p**3 = 0.
-1, 1
Let y(t) be the third derivative of t**8/336 - 2*t**7/105 - t**6/60 + 2*t**5/15 + t**4/24 - 2*t**3/3 + 24*t**2 + 2. Factor y(c).
(c - 4)*(c - 1)**2*(c + 1)**2
Let b = 566/935 - 1/187. Solve -b - 12/5*s - 9/5*s**2 = 0 for s.
-1, -1/3
Let h(o) = -4*o**4 + 2*o**3 - 11*o**2 + 4*o. Let n(c) = 5*c**4 - c**3 + 12*c**2 - 4*c. Let g(m) = -4*h(m) - 3*n(m). Suppose g(f) = 0. What is f?
0, 1, 2
Determine g so that -4 - 2*g - 1/4*g**2 = 0.
-4
Let v(n) be the third derivative of n**5/90 - n**3/9 + 2*n**2. Solve v(l) = 0.
-1, 1
Suppose 2*p + 4*y = 6*y + 4, 2*p - 4 = 5*y. Let u be 2 - p - 1/(-3). Solve -1/3 + u*b + 2/3*b**2 = 0 for b.
-1, 1/2
Let p(j) = 2*j - 5. Let n be p(4). Let 34*r**n + 0*r - 2*r - 32*r**3 = 0. Calculate r.
-1, 0, 1
Let s(l) = l**4 - 3*l**3 - l**2 - 3*l + 3. Let n(x) = 2*x**4 - 5*x**3 - 2*x**2 - 5*x + 5. Let v(f) = 3*n(f) - 5*s(f). Factor v(y).
y**2*(y - 1)*(y + 1)
Let v(w) be the second derivative of 3*w**6/20 - 3*w**5/10 - 5*w**4/24 + w**3 - w**2 - 8*w. Find b such that v(b) = 0.
-1, 2/3, 1
Let d be 1 - (3/(-1))/(-6). Let t be -2 - (25/10 - 5). Factor 3/2*a**2 + t*a + 3/2*a**3 + d*a**4 + 0.
a*(a + 1)**3/2
Factor 3/7*v**3 + 0 + 18/7*v**2 + 0*v.
3*v**2*(v + 6)/7
Let t(a) = 5*a + 5*a + 8 + 3*a**3 - 5*a**4 - 2*a + 5*a**2 + 3*a**2. Let y(p) = 2*p**4 - p**3 - 3*p**2 - 3*p - 3. Let u(o) = -3*t(o) - 8*y(o). Factor u(n).
-n**3*(n + 1)
Factor 7*l - 2*l**2 + 6 - 21*l + 4*l + 6*l.
-2*(l - 1)*(l + 3)
Let k(a) = -a**2 + 2*a - 1. Let v(p) = 10*p - 4*p**2 - 27 + 48 - 27. Let m(d) = 14*k(d) - 3*v(d). Factor m(l).
-2*(l - 1)*(l + 2)
Find c, given that -18*c - 33/2 - 3/2*c**2 = 0.
-11, -1
Let i be (-7)/2*(-84)/98. Determine l so that -4*l**4 + 4*l**4 + i*l**4 - 6 + 3*l**2 + 9*l - 9*l**3 = 0.
-1, 1, 2
Suppose 4*w = -