l - 6*l**2 + 0 - 1/32*l**4 + 1/80*l**5. Factor m(x).
3*(x - 1)*(x + 1)**2/4
Let c(j) = j**3 - j - 1. Let k(s) be the second derivative of -7*s**5/20 + s**4/12 + s**3 + 3*s**2 + 2*s. Let y(b) = 6*c(b) + k(b). Solve y(l) = 0.
0, 1
Let t be 12*(20/(-16) + (-33)/(-20)). What is w in 6/5*w**3 + 21/5*w + t*w**2 + 6/5 - 3/5*w**5 - 6/5*w**4 = 0?
-1, 2
Let c(f) = f**2 - f + 1. Let b(t) = -6*t. Let a(m) = 2*b(m) - 4*c(m). Find o, given that a(o) = 0.
-1
Let k(g) = g**2 - 8*g + 2. Let c be k(8). Solve -2*a**2 + 0*a**2 - c + 4 = 0 for a.
-1, 1
Suppose -11 = -4*g + 1. Let 2 + 2*q**g + 2 - 4 + 2*q + 4*q**2 = 0. Calculate q.
-1, 0
Determine v, given that -1/3*v**4 - 1/3*v + 1/3*v**3 + 1/3*v**2 + 0 = 0.
-1, 0, 1
Let t(k) be the third derivative of k**5/160 - k**4/32 - 20*k**2. Factor t(w).
3*w*(w - 2)/8
Factor 25*h - 9*h**2 + 4*h**2 + 15*h.
-5*h*(h - 8)
Suppose -7*z = 3*z + 7*z. Solve -1/4 - 1/2*r + 1/2*r**3 + z*r**2 + 1/4*r**4 = 0 for r.
-1, 1
Let h(g) be the first derivative of -g**7/126 - g**6/45 - g**5/60 + 5*g + 2. Let w(s) be the first derivative of h(s). Find z such that w(z) = 0.
-1, 0
Let n be 18/(-99) + (-96)/(-286). What is v in 2/13*v**2 + 0*v + 0 + n*v**3 = 0?
-1, 0
Let r(k) be the first derivative of k**4/12 - k**2/2 + 2*k/3 - 28. Let r(y) = 0. Calculate y.
-2, 1
Suppose 0*u - 8 = -2*u. Factor u*x**2 - 1 + x**3 + 3 - x**3 - x**3 - 5*x.
-(x - 2)*(x - 1)**2
Suppose -4*z - 2*w + 15 = -w, -4*w + 8 = 3*z. Solve -4 - z*k**4 - 24*k**2 + 0*k - 16*k**3 - 11*k - 7*k + 2*k = 0 for k.
-1
Suppose 5*r - 3 - 22 = 0. Suppose 2*q - 2*o = 10, 5*o = r*q + 3*o - 10. Find m such that 0 + q*m + 2/7*m**2 = 0.
0
Let n = 10 + -6. Suppose 0 = h + 4*s - 14, h + 2*h - 18 = -n*s. Factor 0*m**3 - 4*m**2 - 3*m**3 + 5*m**3 + m**h - 4*m + m**4 + 4.
(m - 1)**2*(m + 2)**2
Let z(r) be the second derivative of -r**6/45 + r**5/15 - 2*r**3/9 + r**2/3 - 10*r. Solve z(p) = 0.
-1, 1
Let m(r) = -r**3 + 1. Let j(y) = 6*y**4 - 16*y**3 + 30*y**2 - 18*y - 2. Let a(i) = -j(i) - 6*m(i). Factor a(d).
-2*(d - 1)**3*(3*d - 2)
Let m(r) be the second derivative of r**7/5040 - r**3/3 + 3*r. Let h(j) be the second derivative of m(j). Factor h(p).
p**3/6
Let u(f) be the third derivative of f**2 - 1/2*f**4 + 2/3*f**3 - 1/4*f**5 - 1/30*f**6 + 0*f + 0. Suppose u(i) = 0. What is i?
-2, 1/4
Let f(x) be the second derivative of -1/5*x**3 + 0 - 9/10*x**2 + 1/20*x**4 - 3*x. Let f(l) = 0. Calculate l.
-1, 3
Let y(u) be the third derivative of u**7/13860 - u**6/660 + 3*u**5/220 - u**4/24 - 5*u**2. Let d(t) be the second derivative of y(t). Factor d(n).
2*(n - 3)**2/11
Let s(u) be the first derivative of -2*u**3/15 + 8*u**2/5 - 32*u/5 - 14. Factor s(j).
-2*(j - 4)**2/5
Let v(r) = r**4 + 6*r**3 + 7*r**2 + 7. Let m(i) = i**2 - 3*i**3 + i**3 + 3*i**3 + 4 - 3. Let h(d) = -21*m(d) + 3*v(d). Factor h(g).
3*g**3*(g - 1)
Let g(i) be the second derivative of -i**7/105 + 2*i**6/75 - i**4/15 + i**3/15 + 3*i. Determine y, given that g(y) = 0.
-1, 0, 1
Let j(w) be the second derivative of -w**4/84 + w**3/14 + 13*w. Factor j(b).
-b*(b - 3)/7
Let p(h) = -h**3 + h**2 - h. Let l(j) = j**3 - 3*j**2 + j. Let o(s) = -s + 10. Let m be o(7). Let r(g) = m*l(g) + 5*p(g). Factor r(c).
-2*c*(c + 1)**2
Factor 28/5*u + 0 + 4/5*u**2.
4*u*(u + 7)/5
Suppose -3*b + 9 = 0, -5*b + 2*b + 9 = n. Factor j**2 + 17 + 21*j - 11 + n*j - 12*j**3 + 11*j**2.
-3*(j - 2)*(2*j + 1)**2
Let r = -2 - -4. Factor -3*u + 4*u + u**3 - u - u**r.
u**2*(u - 1)
Let h(x) = x**2 + 3*x - 1. Let b be h(-4). Determine f, given that 1 - 22*f + 7*f**5 - 32*f**4 + 7*f**2 + 21*f**2 + 7*f**5 + 8*f**3 + b = 0.
-1, 2/7, 1
Let o(d) be the third derivative of 0*d**3 + 0*d + 1/200*d**6 + 0 + 0*d**4 - 1/50*d**5 - 6*d**2. Factor o(i).
3*i**2*(i - 2)/5
Let x(f) be the third derivative of -2*f**7/105 - 2*f**6/15 - f**5/3 - f**4/3 - 10*f**2. Let x(q) = 0. Calculate q.
-2, -1, 0
Factor 1/3*y**2 - 2 + 1/3*y.
(y - 2)*(y + 3)/3
Suppose c = 4 + 4. Suppose 2*h = -c, 8 = -2*y - 5*h + 2*h. Suppose -4 + t**y + 2*t - 4*t + t**2 = 0. Calculate t.
-1, 2
Let d(p) = p**5 - 2*p**4 + 6*p**2 - 5*p + 4. Let y(b) = -b**2 + b - 1. Let u = 8 - 7. Let i(n) = u*d(n) + 4*y(n). Solve i(k) = 0 for k.
-1, 0, 1
Let z be (0 - 1) + (-38)/4. Let s = 11 + z. Solve 1/4*o**3 + 0 - s*o**2 + 1/4*o = 0.
0, 1
Factor -4*z**2 + 0*z**4 + 7*z**5 - 11*z**5 + 4*z**4 + 4*z**3.
-4*z**2*(z - 1)**2*(z + 1)
Let -1/5*s**2 + 0 + 2/5*s = 0. Calculate s.
0, 2
Let f(j) be the second derivative of 1/3*j**2 - 8/45*j**6 - 1/15*j**5 + 7/18*j**4 - 5*j + 0 + 11/18*j**3 - 1/18*j**7. Let f(x) = 0. Calculate x.
-1, -2/7, 1
Let a(z) be the first derivative of 5*z**3/3 - 5*z**2 + 5*z + 8. Find i such that a(i) = 0.
1
Let a(f) be the third derivative of -f**9/241920 + f**7/20160 + f**5/20 - f**2. Let r(b) be the third derivative of a(b). Factor r(q).
-q*(q - 1)*(q + 1)/4
Let m be (-7 - -4) + (2 - 1). Let o be m/6 + 1 + 2. Factor -o - 8/3*l - 2/3*l**2.
-2*(l + 2)**2/3
Let c(v) = -23*v**2 - 12*v - 17. Let r(k) = 4*k**2 + 2*k + 3. Let w(f) = -6*c(f) - 34*r(f). Factor w(d).
2*d*(d + 2)
Let s(p) be the third derivative of -p**6/270 + p**5/27 - p**4/9 - p**2 - 2*p. Solve s(x) = 0.
0, 2, 3
Let r = 35 - 27. Let q be (-123)/(-9) + 4/(-6). Determine y, given that -q*y**2 + y**3 - 16*y + r + 9*y**3 - y**2 = 0.
-1, 2/5, 2
Let l be (-420)/(-110) - 4/(-22). Factor 4/7*b**2 + 0 - 10/7*b**3 - 2/7*b**5 + 8/7*b**l + 0*b.
-2*b**2*(b - 2)*(b - 1)**2/7
Let s(g) be the second derivative of g**5/20 + 13*g. Factor s(n).
n**3
Suppose -9*l = -12*l + 6. Factor 2/3*z**l + 0 - 1/3*z - 1/3*z**3.
-z*(z - 1)**2/3
Suppose -6*r = -2*r - 8. Let p(n) be the first derivative of 2*n**r - 3 - 3 + 0*n**3 + 5 + 2*n**3. Factor p(z).
2*z*(3*z + 2)
Factor 12*d + 4*d**2 - 1029 + 3*d**3 + 494*d - 65*d - 67*d**2.
3*(d - 7)**3
Let h(w) be the first derivative of 16*w**5/15 - 5*w**4/3 + 4*w**3/9 + 12. Suppose h(f) = 0. Calculate f.
0, 1/4, 1
Factor -6*y**2 + 4*y**3 + 10*y + 31*y**2 + 11*y**3.
5*y*(y + 1)*(3*y + 2)
Let f(o) = -o**2 - 23*o - 39. Let q be f(-21). Factor -3/5 + 3/5*h**2 + 3/5*h**q - 3/5*h.
3*(h - 1)*(h + 1)**2/5
Factor -11/4*m - 1/4*m**2 + 0.
-m*(m + 11)/4
Suppose 0 = g + 3*g - 16. Let f be g/(-6) - (-32)/12. Factor 1 - f*z**2 + 5*z**2 + 0*z**2 - z**3 - 3*z.
-(z - 1)**3
Suppose -a = r - 2, 5*a - 3*a + 17 = 5*r. Suppose 6*q - q - 16 = -4*i, 0 = -q - r*i + 12. Factor q + 2/7*p**3 - 8/7*p**2 + 8/7*p.
2*p*(p - 2)**2/7
Factor 4/7 + 6/7*f**2 - 10/7*f.
2*(f - 1)*(3*f - 2)/7
Let 5/6*y**4 + 0 - 1/6*y**3 + 0*y - 1/3*y**2 - 1/3*y**5 = 0. What is y?
-1/2, 0, 1, 2
Suppose 57*u - 61*u + 72 = 0. Determine l, given that u*l**2 - 2*l - 4/3 = 0.
-2/9, 1/3
Let b(u) = -2*u**3 - 24*u**2 - 54*u - 48. Let n(k) = 2*k**2 + k + 1 - k - 3*k**2. Let t(w) = -b(w) + 6*n(w). Factor t(l).
2*(l + 3)**3
Let o(u) be the second derivative of -u**6/35 + 3*u**5/28 + 3*u**4/28 - 4*u**3/7 - 6*u**2/7 + 21*u. Solve o(s) = 0 for s.
-1, -1/2, 2
Let o(q) be the third derivative of q**5/140 - 46*q**2. Factor o(u).
3*u**2/7
Let q(w) be the third derivative of -w**5/120 - 5*w**4/24 - 25*w**3/12 - 10*w**2. Determine f so that q(f) = 0.
-5
Let b be (-1)/((-15)/3 + 3). Determine w so that -w + 3/2*w**2 - b*w**3 + 0 = 0.
0, 1, 2
Let d(u) = -u**2. Let a(o) be the second derivative of -o**4/3 + o**3/2 - o**2 - 3*o. Let j(b) = a(b) - 3*d(b). Factor j(s).
-(s - 2)*(s - 1)
Let w be (7 - 8) + 10/8. Let d(a) be the first derivative of 1/8*a**4 - 2 + 0*a + w*a**2 - 1/3*a**3. Factor d(j).
j*(j - 1)**2/2
Let r be (-3)/(1 + 2) + 4. Let f = 8 - r. Let z(d) = -2*d**2 + 2. Let b(i) = 4*i**2 - i - 5. Let n(x) = f*z(x) + 2*b(x). Find p, given that n(p) = 0.
-1, 0
Let o(l) be the third derivative of l**6/1080 + 2*l**3/3 - 4*l**2. Let s(v) be the first derivative of o(v). Factor s(r).
r**2/3
Let n(z) be the second derivative of z**5/150 - z**4/60 + z**2/2 + 2*z. Let r(y) be the first derivative of n(y). Solve r(b) = 0.
0, 1
Let b(y) be the third derivative of 1/6*y**4 + 3*y**2 + 0 + 4/3*y**3 + 0*y + 1/120*y**5. Determine a so that b(a) = 0.
-4
Let n(c) be the second derivative of c**7/21 + 2*c**6/15 + 13*c. Factor n(m).
2*m**4*(m + 2)
Let n(m) be the first derivative of m**5/40 + m**4/48 - m**3/24 + 3*m - 1. Let i(z) be the first derivative of n(z). Determine y so that i(y) = 0.
-1, 0, 1/2
Let q(k) = k**3 - 6*k**2 - 10*k + 23. Let r be q(7). What is o 