*g**3 + 2*g**2 - 11*g. Factor l(t).
4*(t - 1)*(t + 1)**2*(4*t - 1)
Let o(y) be the third derivative of y**8/336 + y**7/210 - y**6/120 - y**5/60 + 3*y**2. Factor o(l).
l**2*(l - 1)*(l + 1)**2
Find j such that -16/3 + 20/3*j - 4/3*j**2 = 0.
1, 4
Let l(q) be the third derivative of q**5/60 + q**4/8 + q**3/3 - 3*q**2. Suppose l(b) = 0. What is b?
-2, -1
Let b(n) = 5*n**3 - 2*n**2 + n. Let t be b(1). Solve w + w - t*w**2 + 2*w**3 + 0*w**3 = 0.
0, 1
Let g be (2/(-2) + -2)*(-4)/6. Let -1/5 + 1/5*z**g + 1/5*z - 1/5*z**3 = 0. Calculate z.
-1, 1
Suppose -g + 1 = -0, -19 = -5*k + g. Suppose 0 = -4*f - k*j + 8, j - 6*j = -f + 8. Factor -24*p**4 + 4*p**3 + 8*p**5 + 6*p**5 + 4*p**2 + 2*p**f.
2*p**2*(p - 1)**2*(7*p + 2)
Let x(o) be the third derivative of 1/15*o**5 + 0 + 0*o**3 + 0*o**4 + o**2 + 0*o - 7/60*o**6 + 1/21*o**7. Factor x(d).
2*d**2*(d - 1)*(5*d - 2)
Let v(j) be the first derivative of 1/24*j**6 - 3 - 3/8*j**2 + 1/8*j**4 - 3/20*j**5 + 1/6*j**3 + 1/4*j. Factor v(z).
(z - 1)**4*(z + 1)/4
What is b in 10/11*b**2 + 6/11 + 14/11*b + 2/11*b**3 = 0?
-3, -1
Suppose 2*n + 3*n - 7*n = 0. Factor -1/3*o**5 + o**4 + 0 + 1/3*o**2 - o**3 + n*o.
-o**2*(o - 1)**3/3
Let b(w) be the third derivative of w**7/630 - w**6/180 - w**5/60 - 18*w**2. Factor b(f).
f**2*(f - 3)*(f + 1)/3
Let k(a) = 2*a**3 - 3*a**2 + 4. Let l(s) = s**3. Let v(w) = k(w) - 3*l(w). Suppose v(z) = 0. What is z?
-2, 1
Let h(q) be the second derivative of -q**5/60 + q**4/36 + q**3/18 - q**2/6 - q. Determine x, given that h(x) = 0.
-1, 1
Let p(j) be the first derivative of -4/5*j**2 + 2/15*j**3 - 3 + 8/5*j. Factor p(d).
2*(d - 2)**2/5
Let l(q) = q**3 - 6*q**2 + q - 3. Let s be l(6). Suppose 0 = 4*o - s*o - 2. Suppose -2*x**4 - 2/3*x**5 - 2*x**3 - 2/3*x**o + 0 + 0*x = 0. Calculate x.
-1, 0
Let g = 8 - 2. Let o = g - 2. Factor 2*j**5 - 5*j**5 + 2*j**5 - 2*j**o - j**3.
-j**3*(j + 1)**2
Factor 2/3*i**2 + 1/3*i**3 - 2/3 - 1/3*i.
(i - 1)*(i + 1)*(i + 2)/3
Let u be (-40)/(-22) - 8/(-44). Factor -13 - l + 5*l + 13 + 4*l**3 + 8*l**u.
4*l*(l + 1)**2
Let t(h) = 5 - 5 - 2 + h. Let j be t(4). Factor -2/5*x + 0 + 2/5*x**j.
2*x*(x - 1)/5
Let n(s) be the first derivative of -s**6/42 - s**5/5 - 19*s**4/28 - 25*s**3/21 - 8*s**2/7 - 4*s/7 - 6. Solve n(h) = 0.
-2, -1
Suppose -18 = 27*i - 30*i. Let g(m) be the third derivative of 0 + 1/96*m**4 - m**2 - 1/240*m**5 - 1/480*m**i + 0*m + 1/24*m**3. Factor g(a).
-(a - 1)*(a + 1)**2/4
Suppose -5*a - 5*x = -20, 3*x - 1 = -a + 9. Suppose -4*m = -a - 3. Factor -m + z**4 + 0 + 0*z**3 - 2*z + 2*z**3.
(z - 1)*(z + 1)**3
Let w(c) = 15*c**2 - 20*c - 6*c + 14 - 8*c**2 + 13*c**2. Let k(f) = 19*f**2 - 27*f + 13. Let o(z) = 6*k(z) - 5*w(z). Factor o(d).
2*(d - 2)*(7*d - 2)
Let k(u) be the second derivative of -7*u**5/80 - u**4/24 + 7*u**3/24 + u**2/4 + 4*u. Factor k(x).
-(x - 1)*(x + 1)*(7*x + 2)/4
Let g(a) = -a + 4. Let m be g(8). Let t be (-10)/m*(-4)/(-5). Factor 8*o - 8*o + t*o**2.
2*o**2
Let w(v) = -21*v**4 + 63*v**3 - 21*v**2 - 63*v + 42. Let o(q) = 3*q**4 - 9*q**3 + 3*q**2 + 9*q - 6. Let a(g) = -27*o(g) - 4*w(g). Find j, given that a(j) = 0.
-1, 1, 2
Let g(x) be the third derivative of -2*x**7/105 - 4*x**6/15 - 23*x**5/15 - 14*x**4/3 - 8*x**3 + 49*x**2. Suppose g(u) = 0. Calculate u.
-3, -2, -1
Suppose -5*y = 5*n + 10, -n + 37 = 3*n - 5*y. Suppose -n*f = 5*p + 16, -7*f = -2*f + 3*p. Factor 2*g**3 - 2*g**4 + 3*g**4 + g - g**2 - 3*g**f.
g*(g - 1)**2*(g + 1)
Let h(t) be the first derivative of 0*t - 1 - 1/40*t**6 + 1/2*t**2 + 0*t**3 + 1/30*t**5 + 1/24*t**4. Let p(y) be the second derivative of h(y). Factor p(o).
-o*(o - 1)*(3*o + 1)
Let p = -1 - -8. Suppose 3*y + 12 = p*y. Suppose -4*c + 4*c**3 - 2*c**4 + 2 + y - 3 = 0. Calculate c.
-1, 1
Let d be (-4)/4*(0 + 0). Suppose 0 + 1/3*j**2 - 1/3*j**4 + 0*j**3 + d*j = 0. What is j?
-1, 0, 1
Factor 16/23*t + 10/23*t**2 + 2/23*t**3 + 8/23.
2*(t + 1)*(t + 2)**2/23
Let j = -12 - -18. Let g(s) be the third derivative of -1/140*s**j + 0*s**3 + 0*s + 0 - 1/84*s**4 - 3*s**2 - 2/105*s**5. Find z such that g(z) = 0.
-1, -1/3, 0
Let a(n) be the second derivative of -1/15*n**6 + 1/10*n**5 + 4*n + 0*n**3 + 0 + 0*n**2 + 0*n**4. Factor a(g).
-2*g**3*(g - 1)
Let m be (-84)/30*5/(-2). Let v(f) = -f + 10. Let i be v(m). Let -3*x**4 + 2*x**3 - 5*x**4 - 4*x**i = 0. Calculate x.
-1/4, 0
Let t = -612 + 615. Determine v, given that 1 + 3/2*v**4 + 1/2*v**t - 5/2*v**2 - 1/2*v = 0.
-1, 2/3, 1
Factor 3828 - 3828 + 2*y**2.
2*y**2
Let a(n) be the second derivative of -5*n**4/54 - 7*n**3/27 - 2*n**2/9 + 4*n. Solve a(f) = 0 for f.
-1, -2/5
Let m(q) be the second derivative of -5*q**4/3 + 16*q**3/3 + 8*q**2 - 8*q. Factor m(d).
-4*(d - 2)*(5*d + 2)
Suppose 0 = i - 6*i + 10. Factor -2*s**4 + 4*s**2 - 2*s + 3*s + 2*s**i - 4*s**2 - s**5.
-s*(s - 1)*(s + 1)**3
Let b(p) be the first derivative of p**4/8 - p**3/6 - p**2/4 + p/2 + 1. What is x in b(x) = 0?
-1, 1
Factor -2*u - 5*u**4 - 81*u**2 - 2*u**5 + 73*u**2 - 3*u**4 - 12*u**3.
-2*u*(u + 1)**4
Let j(b) be the second derivative of -1/6*b**3 - 9/40*b**5 + b + 0*b**2 + 0 + 11/24*b**4. Factor j(v).
-v*(v - 1)*(9*v - 2)/2
Let r(x) = -x**2 - 8*x + 13. Let w be r(-9). Let v be 3 - 3/(w + -3). Factor z + 8*z + 15*z**2 + 1 + v - 7.
3*(z + 1)*(5*z - 2)
Let w(f) be the first derivative of -6 + 3/4*f**2 + 0*f - 3/16*f**4 - 1/4*f**3. Find a such that w(a) = 0.
-2, 0, 1
Suppose 4*t + 12 = 0, 0 = 2*g + 4*t - 1 + 7. Factor -n**2 - 2*n**g - n**3 + 2*n**3.
-n**2*(n + 1)
Find i such that 0 - 22/5*i**4 - 8/5*i**5 + 2/5*i - 18/5*i**3 - 2/5*i**2 = 0.
-1, 0, 1/4
Let j(f) be the second derivative of -f**9/75600 - f**8/16800 - f**4/4 - 3*f. Let g(p) be the third derivative of j(p). Factor g(x).
-x**3*(x + 2)/5
Let c be (-6)/18 + (-19)/(-3). Suppose -8*j + c*j + 6 = 0. Solve 1/6*k**2 - 1/6*k**j - 1/6*k**4 + 0*k + 1/6*k**5 + 0 = 0 for k.
-1, 0, 1
Factor -4*v**3 + 12*v**5 - 14*v**5 + 6*v**3.
-2*v**3*(v - 1)*(v + 1)
Let r(k) be the first derivative of 0*k + 0*k**2 - 1/12*k**3 + 2. Factor r(p).
-p**2/4
Solve 98/5*b**4 - 48/5*b**2 - 42/5*b**3 - 8/5*b + 0 = 0 for b.
-2/7, 0, 1
Find b, given that 4*b**3 + b**4 + 3*b**3 - 8*b**3 + 4*b**3 = 0.
-3, 0
Suppose 0 = -2*j - 2*j + l + 38, j + 2*l - 5 = 0. Let n be -4*(-2 + j/6). Let -2*i - 4*i**2 + 3*i**n + 4*i = 0. What is i?
0, 2
Let g = -186 - -186. Factor -2/5*v**5 + 0*v**2 + 0*v + g - 2/5*v**3 - 4/5*v**4.
-2*v**3*(v + 1)**2/5
Suppose 3*l - 2*l = 2. Factor 35*r**3 + 2*r**2 + r**5 - 3 - 39*r**3 + 5*r + 1 - l*r.
(r - 1)**3*(r + 1)*(r + 2)
Let j(i) be the first derivative of 2/9*i**3 - 2/3*i**2 + 3 + 2/3*i. Suppose j(f) = 0. Calculate f.
1
What is m in 0 - 1/4*m**5 + 3/2*m**4 - m - 13/4*m**3 + 3*m**2 = 0?
0, 1, 2
Let z(c) = -c**3 - c**2 + 2*c. Let o(a) = -a**3 + a. Let s(y) = 3*o(y) - 2*z(y). Suppose s(v) = 0. Calculate v.
0, 1
Factor 0*w - 2/5 + 2/5*w**2.
2*(w - 1)*(w + 1)/5
Let m(j) be the third derivative of j**7/1470 - j**6/210 + j**5/105 - 2*j**2. Factor m(i).
i**2*(i - 2)**2/7
Let p(s) be the third derivative of s**8/672 - s**7/280 + s**5/240 + s**2. Factor p(i).
i**2*(i - 1)**2*(2*i + 1)/4
Factor 3/2*l**2 - 15/2 - 6*l.
3*(l - 5)*(l + 1)/2
Let k(u) be the second derivative of -u**6/240 + u**4/48 + 5*u**2/2 + u. Let d(m) be the first derivative of k(m). Find i, given that d(i) = 0.
-1, 0, 1
Let f(h) be the first derivative of -h**4/40 - h**3/30 + 1. Factor f(y).
-y**2*(y + 1)/10
Let b(p) = -p**3 - 6*p**2 - p - 3. Let a be b(-6). Suppose 0*d - d + a = 0. Let -12 - 2*j**2 + 2*j**d + 12 = 0. Calculate j.
0, 1
Let g(p) = -2*p**3 + 5*p**2 - 3*p + 5. Let a(r) = r**3 - r**2 - 1. Let o(q) = 5*a(q) + g(q). Factor o(x).
3*x*(x - 1)*(x + 1)
Factor 1/8*x + 25/8*x**3 + 0 - 5/4*x**2.
x*(5*x - 1)**2/8
Let z(f) be the second derivative of -2/15*f**4 - 2/5*f**2 + 0 + 1/50*f**5 - 3*f + 1/3*f**3. Find i such that z(i) = 0.
1, 2
Let n(l) be the third derivative of -2*l**2 + 0 + 0*l**3 + 11/60*l**6 + 0*l - 16/105*l**7 + 0*l**4 - 1/15*l**5 + 1/24*l**8. Determine s so that n(s) = 0.
0, 2/7, 1
Let k = 1963/210 + -93/10. Let c(r) be the second derivative of 1/70*r**5 + 0*r**2 - r - k*r**4 + 0*r**3 + 0. Factor c(d).
2*d**2*(d - 2)/7
Let i(c) be the first derivative of c**4/12 + c**3/3 + c**2/3 + 40. Determine s, given that i(s) = 0.
-2, -1, 0
Let z(j) be the second derivative of j**8/14280 - j**7/3570 + j**6/3060 - 4*j**3/3 + 3*j. Le