3 - m = -z. Factor -2*l**z - 4*l**2 + l**4 + 3*l**4 + 2.
2*(l - 1)**2*(l + 1)**2
Let u(d) be the first derivative of -2*d**4/21 + 3*d**3/7 - 2*d**2/7 + 4*d - 3. Let t(k) be the first derivative of u(k). Factor t(b).
-2*(b - 2)*(4*b - 1)/7
Let q(b) = 3*b**3 - 3*b**3 + 2*b**3 + 7*b. Let t(v) be the first derivative of v**4/4 + 3*v**2/2 - 16. Let y(d) = 4*q(d) - 9*t(d). Solve y(o) = 0.
-1, 0, 1
Let d = 4 + -4. Let t(r) be the second derivative of -1/105*r**6 - 16/7*r**2 - 4/7*r**4 + 4/35*r**5 - r + d + 32/21*r**3. Factor t(j).
-2*(j - 2)**4/7
Let u(k) = 9*k**3 + k**2 + k + 4. Let n(m) = 4*m**3 + 2. Let r(s) = -5*n(s) + 2*u(s). What is o in r(o) = 0?
-1, 1
Let b(k) be the first derivative of k**6/25 + k**5/50 - k**4/15 - k + 3. Let c(q) be the first derivative of b(q). Factor c(t).
2*t**2*(t + 1)*(3*t - 2)/5
Let w = -11 + 17. Let 10*h**2 - 27*h**2 - w*h + 33*h**3 - 10*h**2 = 0. What is h?
-2/11, 0, 1
Let q = 4 - 11/3. Factor 1/3 + 0*h - q*h**2.
-(h - 1)*(h + 1)/3
Suppose z + x = 11, 4*z - 5*x = z + 73. Suppose -r - 4 = 0, j + 3*j - 4*r = z. Factor 2/5*o**2 + j + 0*o + 2/5*o**3.
2*o**2*(o + 1)/5
Solve 5/2*w**2 - 10 + 5/4*w**3 - 5*w = 0.
-2, 2
Let x(c) = -3*c**3 - c. Let w(h) = h**3 - 6*h**2 - 7*h - 1. Let b be w(7). Let l be x(b). Factor 3*p**4 - l*p**5 - 12*p**3 - 4*p**5 + 2*p**2 + 15*p**4.
-2*p**2*(p - 1)**2*(4*p - 1)
Determine v so that 0 - 6/5*v**5 - 18/5*v**3 + 6/5*v + 21/5*v**4 - 3/5*v**2 = 0.
-1/2, 0, 1, 2
Let t(z) be the second derivative of z**5/5 + 5*z**4/3 + 16*z**3/3 + 8*z**2 + z. Factor t(a).
4*(a + 1)*(a + 2)**2
Suppose 5*x - 2*x = 0. Find n, given that -2*n + x*n - 15*n**2 + 5*n + 3 + 16*n**3 - 7*n**3 = 0.
-1/3, 1
Let h(v) be the first derivative of 1/12*v**2 - 1/12*v**4 + 1/36*v**6 + 1/30*v**5 - 1/9*v**3 + 3 + 1/6*v. Factor h(n).
(n - 1)**2*(n + 1)**3/6
Let b(p) be the third derivative of 0*p**5 - 1/120*p**6 - 2*p**2 + 0*p + 0 + 1/24*p**4 + 0*p**3. Determine g so that b(g) = 0.
-1, 0, 1
Let c(z) be the first derivative of -z**3/3 + 3*z**2 - 3*z + 2. Let s be c(5). Solve -d**5 + d**s - d**4 + d**3 + 2 - 2 = 0.
-1, 0, 1
Suppose 3*p + 40 = 46. Let d(f) be the third derivative of 0*f - p*f**2 - 1/2*f**3 + 0 - 1/4*f**4 - 3/80*f**5. Factor d(r).
-3*(r + 2)*(3*r + 2)/4
Let s = 1 + 1. Solve f**3 - 4*f + 6 - 5*f**4 + 6*f**4 - s + f**3 - 3*f**2 = 0.
-2, 1
Determine s, given that 1/6*s**2 + 0 + 1/6*s = 0.
-1, 0
Let o(f) be the third derivative of -1/15*f**6 + 0*f + 7/30*f**5 + 0 - 1/35*f**7 - 4/3*f**3 + 1/3*f**4 + 2*f**2. Find m such that o(m) = 0.
-2, -1, 2/3, 1
Factor 3*o**3 + 123*o**2 - 7*o**3 - 111*o**2.
-4*o**2*(o - 3)
Let a be (-4)/6 + (-8)/(-6). Determine b so that 0*b**2 - a + 1/3*b**3 - b = 0.
-1, 2
Let f(g) be the second derivative of -g**6/25 - 3*g**5/25 - g**4/10 + 15*g. Factor f(p).
-6*p**2*(p + 1)**2/5
Factor 2/3*a - 1/3 + 7/3*a**2 + 4/3*a**3.
(a + 1)**2*(4*a - 1)/3
Let r(f) = -f**4 + f**3 + f**2. Let t(z) = 5*z**4 - 7*z**3 - z**2. Let h(s) = 3*r(s) + t(s). Determine u so that h(u) = 0.
0, 1
Let n(s) be the first derivative of 10*s**5 - 45*s**4/2 + 16*s**3 - 4*s**2 - 22. Find p, given that n(p) = 0.
0, 2/5, 1
Let s(v) = -v**2 + 6*v - 3. Let x be s(2). Find y such that 2*y**5 + 2*y**x + y**5 - 2*y**5 = 0.
0
Let p(d) = -16*d**4 + 8*d**3 + 28*d**2 + 4*d + 12. Let o(g) = g**4 - g**3 - g**2 + g - 1. Let f(z) = 12*o(z) + p(z). Solve f(x) = 0.
-2, -1, 0, 2
Suppose g = -i - g + 6, -g = -4*i + 6. Let j = 1 + 1. Factor 5*v**2 + 2 - 5*v + 2*v**i - 5*v**j + v.
2*(v - 1)**2
Suppose -d + 4 = d. Suppose -3*l**3 - 6*l + 4 + 0*l**3 + l**3 + 6*l**2 - d = 0. What is l?
1
Let m(d) be the first derivative of d**8/3360 + d**7/840 + d**6/720 + 5*d**3/3 - 4. Let g(i) be the third derivative of m(i). Suppose g(w) = 0. Calculate w.
-1, 0
Factor 1/5 - t**2 + 4/5*t**4 - 3/5*t**3 + 3/5*t.
(t - 1)**2*(t + 1)*(4*t + 1)/5
Let p be 2 - 73/36 - 1/(-4). Factor -p*z**2 - 2/9*z**5 + 2/9*z**3 + 0 + 0*z + 2/9*z**4.
-2*z**2*(z - 1)**2*(z + 1)/9
Let p(b) be the first derivative of 4/3*b - 2/9*b**3 - 1/3*b**2 + 5. Factor p(v).
-2*(v - 1)*(v + 2)/3
Suppose -80*c + 86*c = 0. Factor c + 12/5*o - 6/5*o**3 + 14/5*o**2.
-2*o*(o - 3)*(3*o + 2)/5
Let h be 2/(-6) + 10/15. Find p, given that 2/3*p**2 + 0*p - 5/3*p**3 - h*p**5 + 0 + 4/3*p**4 = 0.
0, 1, 2
Suppose 5*q - 2*s - 11 = 0, 2*s + 9 = 2*q + q. Factor 1/2*c + 1/2*c**2 - q.
(c - 1)*(c + 2)/2
Let b be (-5 + 5)/(9/(-3)). Let j(y) be the second derivative of b*y**2 + 0 - 2/9*y**3 + y + 1/18*y**4. Factor j(h).
2*h*(h - 2)/3
Let k(f) = f - 4. Let m be k(6). Let y be 4 - (1 + -2 + m). Find d, given that -2*d**3 + d**y + 2*d**3 - d**2 + 2*d**4 = 0.
-1, 0, 1/2
Let a be (-266)/120 - -3 - 6/30. Let o(l) be the third derivative of 1/6*l**5 + 0 - a*l**4 + l**2 + 0*l + 2/3*l**3. Suppose o(p) = 0. What is p?
2/5, 1
Let c be -1*(12/(-3) + 0). Suppose j**3 - j + j**2 + 3*j + 0*j**2 - c*j**2 = 0. Calculate j.
0, 1, 2
Let u(z) be the first derivative of z**6/180 - z**5/30 + 3*z**2 + 3. Let g(q) be the second derivative of u(q). Find x, given that g(x) = 0.
0, 3
Let z be (-410)/57 + 3 - -3. Let n = -10/19 - z. Find p, given that 8/3*p**2 + 2*p**3 + n*p + 0 = 0.
-1, -1/3, 0
Let d be 4/(-5)*50/(-20). Let w(u) be the second derivative of -1/15*u**3 + 7/150*u**6 + 0 - 2*u + 0*u**d + 1/50*u**5 - 7/60*u**4. What is n in w(n) = 0?
-1, -2/7, 0, 1
Factor 64/5 + 1/5*w**2 - 16/5*w.
(w - 8)**2/5
Let q(r) = -16*r**2 + 78*r + 34. Let v(u) = -3*u**2 + 16*u + 7. Let y(w) = -6*q(w) + 28*v(w). Factor y(s).
4*(s - 2)*(3*s + 1)
Let l(n) = n + 6. Let s be l(-15). Let a = 9 + s. Factor a + 2/5*c - 2/5*c**3 + 0*c**2.
-2*c*(c - 1)*(c + 1)/5
Let g(c) = -c**2 - c - 1. Let x(r) = -8*r**2 - 6*r - 6. Let l(v) = 6*g(v) - x(v). Factor l(i).
2*i**2
Let m(x) be the second derivative of x**7/315 - x**6/36 + 4*x**5/45 - x**4/9 - x**2/2 + 5*x. Let w(u) be the first derivative of m(u). Factor w(h).
2*h*(h - 2)**2*(h - 1)/3
Let r(x) = -x**3 + 11*x**2 - 8*x - 14. Let y be r(10). Suppose -y*i**2 + 6*i + 0 + 3/2*i**3 = 0. Calculate i.
0, 2
Let v = 1164 + -1164. Let m = -1 - -1. Solve -1/2*w**2 + w**3 + v - 1/2*w**4 + m*w = 0.
0, 1
Let s(m) be the second derivative of -m**7/455 - m**6/195 - m**5/390 - 3*m**2/2 + 4*m. Let u(q) be the first derivative of s(q). Determine a so that u(a) = 0.
-1, -1/3, 0
Let c(k) be the first derivative of 16*k - 729/2*k**4 - 108*k**2 + 324*k**3 + 1. Factor c(i).
-2*(9*i - 2)**3
Let a(j) be the first derivative of 0*j**2 - 2 + 4*j + 1/40*j**5 + 1/12*j**3 + 1/12*j**4. Let v(d) be the first derivative of a(d). Factor v(u).
u*(u + 1)**2/2
Let y(s) be the first derivative of -2*s**3/3 - 4*s**2 - 6*s + 27. Factor y(f).
-2*(f + 1)*(f + 3)
Let t(o) be the first derivative of -o**5/20 + 7*o**4/16 - 17*o**3/12 + 17*o**2/8 - 3*o/2 - 66. Factor t(i).
-(i - 3)*(i - 2)*(i - 1)**2/4
Let h(u) = -3*u**2 - 6*u. Let s(g) be the second derivative of 1/2*g**3 + 1/12*g**4 + 0 + 0*g**2 - 4*g. Let i(b) = 4*h(b) + 9*s(b). Factor i(f).
-3*f*(f - 1)
Let u be (0/(-2))/(5/10*-4). Let z(p) be the third derivative of u*p**3 - 1/240*p**5 + 0*p + 1/96*p**4 + 4*p**2 + 0. Factor z(y).
-y*(y - 1)/4
Let x(b) be the second derivative of b**8/26880 - b**4/6 - 2*b. Let k(w) be the third derivative of x(w). Factor k(q).
q**3/4
Let z(w) be the first derivative of w**6/15 + 2*w**5/25 - w**4/10 - 2*w**3/15 + 2. Let z(o) = 0. Calculate o.
-1, 0, 1
Let p(w) be the second derivative of 1/10*w**2 - 2/15*w**4 + 2/105*w**7 + 0 - 1/15*w**3 - 1/50*w**5 + 7/150*w**6 + 4*w. Suppose p(z) = 0. Calculate z.
-1, 1/4, 1
Let -4/3 - 16/3*b**3 + 16/3*b + 4/3*b**2 = 0. What is b?
-1, 1/4, 1
Let a(k) be the third derivative of k**10/75600 - k**9/30240 - k**5/30 + k**2. Let j(l) be the third derivative of a(l). Let j(z) = 0. Calculate z.
0, 1
Let 48*v - 17 - v**2 + 6 + 155 + 5*v**2 = 0. Calculate v.
-6
Let x(f) = f**2 + 7*f + 6. Let m be x(-6). Suppose m = 3*h + 3 - 18. Let 14*j + 2 + 4*j + 29*j**2 + 10*j**3 + 2 - h*j**2 = 0. What is j?
-1, -2/5
Let z(l) be the second derivative of 5*l**4/12 + 10*l**3/3 + 10*l**2 - 12*l. Factor z(k).
5*(k + 2)**2
Let i(f) be the first derivative of -3/5*f**5 - 1 + f**2 - 1/6*f**6 + 0*f + f**3 - 1/4*f**4. Suppose i(v) = 0. Calculate v.
-2, -1, 0, 1
Let c be (-15)/(-5)*(-14)/(-6). Suppose 0 = -5*u + c + 8. Factor -a**2 + u*a**2 + a - a.
2*a**2
Let l = 625 + -623. Determine n, given th