3 + 0.
-q*(q + 1)**2/4
Let z(s) be the first derivative of 12*s**5/5 + 2*s**4 - 4*s**3 - 4*s**2 - 50. Solve z(v) = 0 for v.
-1, -2/3, 0, 1
Let k(w) be the first derivative of -20/3*w**3 - 25/4*w**4 + 0*w - 2*w**2 + 7. Solve k(c) = 0 for c.
-2/5, 0
Factor -1/5*i**3 - 3*i - 7/5 - 9/5*i**2.
-(i + 1)**2*(i + 7)/5
Suppose 15 = 2*w - j + 11, w - 20 = -4*j. Let f(t) = t**2 + 7*t + 8. Let b be f(-6). Solve -7*x + 3*x**2 + 5*x**b + 8*x + w - 19*x = 0 for x.
1/4, 2
Let o(f) = -f**4 + f**3 - f. Let b(z) = -7*z**4 + 9*z**3 - z**2 - 9*z + 2. Let q(i) = -b(i) + 6*o(i). Factor q(g).
(g - 2)*(g - 1)**2*(g + 1)
Suppose -4*t + 8 + 0 = 0. Factor t*l**3 - 5*l**5 - l + l - l + 4*l**5.
-l*(l - 1)**2*(l + 1)**2
Let t(c) be the third derivative of -c**5/150 - c**4/15 + 6*c**2. Solve t(n) = 0.
-4, 0
Let f(p) be the third derivative of p**7/105 + 11*p**6/120 + 19*p**5/60 + 13*p**4/24 + p**3/2 - 19*p**2. Factor f(a).
(a + 1)**2*(a + 3)*(2*a + 1)
Find x such that -2/3 - 1/3*x**3 - 5/3*x - 4/3*x**2 = 0.
-2, -1
Let v = -17 - -35/2. Determine u so that 0*u - 1/2*u**3 - v*u**2 + 0 = 0.
-1, 0
Suppose -10*d + 5*d - 3*l = -25, l = -5*d + 15. Suppose 2/5*a + 2/5*a**d + 0 = 0. Calculate a.
-1, 0
Let p(f) be the second derivative of f**4/3 - 8*f**3/3 + 6*f**2 + 12*f. Solve p(l) = 0 for l.
1, 3
Suppose -y = 4*y - y. Find s such that -3/4*s + y + 3/4*s**2 = 0.
0, 1
Factor 1 - 3/2*x + 0*x**2 + 1/2*x**3.
(x - 1)**2*(x + 2)/2
Let y(z) = -z**4 - 24*z**3 + 52*z**2 + 4*z + 4. Let b(k) = k**4 - k**2 - k - 1. Let x(v) = -4*b(v) - y(v). Factor x(h).
-3*h**2*(h - 4)**2
Let b(a) = a**3 + 2*a**2 - 2*a - 2. Let d be b(-2). Suppose -3*l**3 + d*l**2 - 5*l**4 + 0*l**4 - l**2 + l**2 = 0. Calculate l.
-1, 0, 2/5
Factor 507/2*h**2 + 13*h**3 + 2197*h + 28561/4 + 1/4*h**4.
(h + 13)**4/4
Let j be (-1 - -4)/(3/2). Let s be (2/(-4))/(j/(-12)). Let -1/5*r + 0*r**2 + 1/5*r**s + 0 = 0. What is r?
-1, 0, 1
Let l be (27/(-2))/(-3) + -6 + 3. Solve 0*j + 0 + l*j**2 = 0 for j.
0
Let l(u) be the third derivative of -1/40*u**6 + 2*u**2 + 0*u**3 + 1/60*u**5 + 0 - 1/336*u**8 + 0*u**4 + 0*u + 1/70*u**7. Determine y, given that l(y) = 0.
0, 1
Determine z so that 14/3*z**2 - 8/3 + 0*z - 2*z**4 - 2/3*z**5 + 2/3*z**3 = 0.
-2, -1, 1
Let v(j) be the third derivative of 0 + 0*j**3 - 5*j**2 + 3/100*j**5 - 1/20*j**4 - 1/200*j**6 + 0*j. Solve v(c) = 0 for c.
0, 1, 2
Let y(c) be the third derivative of c**7/1365 - c**5/195 + c**3/39 + 7*c**2. Factor y(r).
2*(r - 1)**2*(r + 1)**2/13
Let j(w) be the first derivative of w**8/1680 - w**6/360 - 5*w**3/3 - 7. Let y(x) be the third derivative of j(x). Solve y(v) = 0 for v.
-1, 0, 1
Let a be (6 - (-6 + 11))/((-3)/(-6)). Let k = -1/4 - -7/12. Factor -k*b**a + 1/3*b + 0.
-b*(b - 1)/3
Let p be 2 - ((-9)/(-1))/(-1). Let s be (-8)/(-10)*(p + -1). Solve -a - s*a**2 - 2*a**3 - a + 4*a**2 = 0.
-1, 0
Let t(h) be the third derivative of -h**10/378000 - h**5/30 + 2*h**2. Let p(k) be the third derivative of t(k). Factor p(v).
-2*v**4/5
Let q(a) be the first derivative of -6*a**6 - 66*a**5/5 - a**4 + 58*a**3/3 + 20*a**2 + 8*a + 2. Let q(f) = 0. Calculate f.
-1, -2/3, -1/2, 1
Let x(b) be the first derivative of -1 + 0*b**3 + 1/2*b**2 + 0*b**4 + 1/90*b**5 + 0*b. Let w(m) be the second derivative of x(m). Find l, given that w(l) = 0.
0
Let 0 + 4/5*m**2 + 32/5*m**4 + 0*m + 22/5*m**3 + 14/5*m**5 = 0. Calculate m.
-1, -2/7, 0
Let d be 160/85 - 4/(-34). Factor -8/5 - 16/5*h + 38/5*h**d - 14/5*h**3.
-2*(h - 2)*(h - 1)*(7*h + 2)/5
Determine o, given that 5/2 - 1/2*o**3 + 15/4*o**2 - 27/4*o = 0.
1/2, 2, 5
Suppose 1/8*h**3 - 1/8*h**2 + 0*h + 0 = 0. What is h?
0, 1
Factor 6 + 9/2*w**2 - 18*w + 15/2*w**3.
3*(w - 1)*(w + 2)*(5*w - 2)/2
Let k = 3219 + -144842/45. Let p = k - -1/9. Find t, given that -1/5*t - p + 2/5*t**2 + 1/5*t**3 = 0.
-2, -1, 1
Let z(i) be the third derivative of 0*i**5 + 4*i**2 + 1/60*i**4 + 0*i - 1/30*i**3 - 1/300*i**6 + 1/1050*i**7 + 0. Solve z(n) = 0.
-1, 1
Let w(x) be the third derivative of -x**6/180 + x**5/45 + x**4/36 - 2*x**3/9 - 5*x**2. Factor w(s).
-2*(s - 2)*(s - 1)*(s + 1)/3
Suppose 5*y = 3*y. Let g(h) be the third derivative of 0*h**4 + 1/180*h**6 + 0*h**3 + y - 4*h**2 + 0*h + 1/90*h**5. Find f such that g(f) = 0.
-1, 0
Suppose 0 = -4*r - 4*w - 4, -5*r + 9 = 2*w + 2. Let m be 0/(r - (-2 + 4)). Factor -1/3*t**2 - 1/3*t**4 + m + 0*t + 2/3*t**3.
-t**2*(t - 1)**2/3
Factor 0 + 6/7*z + 2/7*z**3 - 8/7*z**2.
2*z*(z - 3)*(z - 1)/7
Let r be ((-4)/8)/((-1)/10). Suppose 0*b + 5*h - r = -b, -5*b + 25 = 3*h. Determine n, given that 12/5*n**3 + 2/5*n + 8/5*n**2 + 2/5*n**b + 0 + 8/5*n**4 = 0.
-1, 0
Factor 6/7*f**5 - 26/7*f**4 - 36/7*f**2 + 44/7*f**3 - 2/7 + 2*f.
2*(f - 1)**4*(3*f - 1)/7
Factor 19 + 12*n**3 + 7*n**2 - 5*n**4 + 9*n**2 - 48*n + 6 - 9.
-(n - 2)**2*(n + 2)*(5*n - 2)
Let h(y) be the first derivative of y**8/1512 + y**7/315 + y**6/180 + y**5/270 + 3*y**2/2 + 2. Let q(n) be the second derivative of h(n). Factor q(l).
2*l**2*(l + 1)**3/9
Let i(a) be the first derivative of 0*a**2 + 0*a - 1/8*a**4 + 1/6*a**3 - 2. Let i(m) = 0. What is m?
0, 1
Let o = 13 - 9. Let f(s) = 3*s**3 - 3*s**2 - 2*s + 4. Let q(j) = -4*j**3 + 4*j**2 + 3*j - 5. Let u(l) = o*q(l) + 5*f(l). Factor u(c).
-c*(c - 2)*(c + 1)
Let p(i) be the third derivative of i**5/120 - i**4/48 - i**3/6 - 6*i**2. Factor p(n).
(n - 2)*(n + 1)/2
Let -4*g**2 - 2*g**5 - 4/3*g**3 + 10/3*g + 14/3*g**4 - 2/3 = 0. Calculate g.
-1, 1/3, 1
Let c(b) = -5*b**2 + 17*b + 34. Let y(v) = -33*v**2 + 120*v + 237. Let r(h) = -27*c(h) + 4*y(h). Factor r(p).
3*(p + 2)*(p + 5)
Let f(v) = -v**2 + 6*v. Let a be f(6). Let s = 4 + a. Solve -4*x**3 + 4*x**3 - 4*x + 4*x**3 + s*x**2 - 5*x**3 = 0.
0, 2
Let d be 3 - (-3)/15*50/(-4). Factor -d*n**3 + 0 + 1/2*n + 0*n**2.
-n*(n - 1)*(n + 1)/2
Let o(n) be the first derivative of -2*n**3/45 + 8*n/15 + 7. Suppose o(d) = 0. What is d?
-2, 2
Suppose -2*v - 3*v = -10. Let c(s) be the second derivative of 0*s**2 + 1/21*s**3 + 1/70*s**5 - 1/21*s**4 + v*s + 0. Determine d, given that c(d) = 0.
0, 1
Let q = -99 + 101. Factor -16/7*o - 8/7 - 2/7*o**3 - 10/7*o**q.
-2*(o + 1)*(o + 2)**2/7
Let n(b) = -4*b**2 + b - 2. Let v be n(1). Let j be 2/(-10) + (-1)/v. Factor 0*g**3 + 0*g**2 + 2/13*g**4 + 0 + j*g.
2*g**4/13
Factor -26/5*n**4 + 0 - 8/5*n**2 - 6/5*n**5 - 32/5*n**3 + 0*n.
-2*n**2*(n + 2)**2*(3*n + 1)/5
Let q(r) be the second derivative of -r**5/40 - r**4/8 - 3*r. Factor q(h).
-h**2*(h + 3)/2
Determine q so that -6 - 6*q**2 - 2 - q**3 - 3*q - 9*q = 0.
-2
Suppose 3*t - 14*t - 15*t = 0. Factor 0*c + t - 1/3*c**4 - 2/3*c**3 - 1/3*c**2.
-c**2*(c + 1)**2/3
Find n, given that 7/2*n**2 - 4*n**3 - n + 0 + 3/2*n**4 = 0.
0, 2/3, 1
Let g(m) be the first derivative of 4 + 0*m**2 + 1/24*m**4 + 0*m**3 + 0*m + 0*m**5 - 1/36*m**6. Factor g(k).
-k**3*(k - 1)*(k + 1)/6
Let j(r) = -r**3 - 2*r**2 + 4*r + 6. Let h be j(-3). Let a(q) be the first derivative of 0*q + 1 - 6/5*q**h + 2/5*q**2. Factor a(f).
-2*f*(9*f - 2)/5
Let l(k) be the third derivative of k**7/1260 + k**6/240 + k**5/180 + 8*k**2. Determine p so that l(p) = 0.
-2, -1, 0
Let v be (-2)/2 - 9/(-7). Let w = -23 - -25. Factor 4/7*x + 2/7 + v*x**w.
2*(x + 1)**2/7
Let y be (-8)/20 - ((-7)/(-5) + -2). Factor 0*u - y*u**2 + 0.
-u**2/5
Find q, given that 24 + 512*q**3 + 75*q**5 - 88*q**3 + 109*q**3 + 360*q**4 + 94*q**3 + 180*q + 498*q**2 = 0.
-2, -1, -2/5
Let m(s) be the first derivative of s**3 + 3*s**2 - 1. Factor m(o).
3*o*(o + 2)
Let t be 8/(-6)*3/(-2). Suppose 0 = -4*s + 2*s + t. Factor -3*x**2 - 3 - s + 4*x + 2*x**2.
-(x - 2)**2
Factor 0 + 8/5*x**2 + 0*x + 2/5*x**4 - 8/5*x**3.
2*x**2*(x - 2)**2/5
Let n(f) be the first derivative of f**3/24 - f**2/8 - 3*f/8 + 8. Find c, given that n(c) = 0.
-1, 3
Let s(u) = -2*u**2 - 4*u. Let m(a) = -a. Let j(l) = 4*m(l) - s(l). Let z be j(1). Find k, given that 1/2*k**z + 0 + 1/2*k = 0.
-1, 0
Let -8*y**3 + 512/5 - 4/5*y**4 - 96/5*y**2 + 128/5*y = 0. What is y?
-4, 2
Let h be 20/(-8)*8/(-5). Let g(t) be the third derivative of 1/240*t**5 - 1/96*t**h + 0*t - 1/24*t**3 + 0 + 3*t**2 + 1/480*t**6. Factor g(y).
(y - 1)*(y + 1)**2/4
Let l(k) = 15*k**3 - 21*k**2 + 10*k - 4. Let p(g) = 7*g**3 - 10*g**2 + 5*g - 2. Let f(r) = -6*l(r) + 13*p(r). What is y in f(y) = 0?
1, 2
Factor -52*z**3 + 0*z**2 + 4*z**4 + 48*z**3 - 4*z**2 + 4*z**5.
4*z**2*(z - 1)*(z + 1)**2
Suppose