1/24*j**4 + 0*j - 3*j**2 + a + 1/120*j**6 - 1/30*j**5. Factor s(c).
c*(c - 1)**2
Let k(p) be the third derivative of p**8/21 - p**6/6 + p**4/6 - 3*p**2. Determine z so that k(z) = 0.
-1, -1/2, 0, 1/2, 1
Let f(w) be the first derivative of w**8/4200 - w**6/900 - 2*w**3/3 + 4. Let x(z) be the third derivative of f(z). Factor x(u).
2*u**2*(u - 1)*(u + 1)/5
Let p(z) be the second derivative of -z**5/4 - 5*z**4/6 - 5*z**3/6 - 36*z. Factor p(r).
-5*r*(r + 1)**2
Let y(o) be the second derivative of -3*o**5/40 - 3*o**4 - 48*o**3 - 384*o**2 + 18*o. Factor y(f).
-3*(f + 8)**3/2
Let o(c) be the first derivative of -c**6/51 - 2*c**5/85 + 3*c**4/34 + 2*c**3/51 - 2*c**2/17 - 37. What is s in o(s) = 0?
-2, -1, 0, 1
Suppose 0 = -3*b + 2*c + 10, -c = -4 + 6. Find p, given that 1/2 - 2/3*p + 1/6*p**b = 0.
1, 3
Let w(b) be the first derivative of -3*b**4/2 + b**3 + 3*b**2 - 3*b + 8. Let w(s) = 0. What is s?
-1, 1/2, 1
Let c(o) be the second derivative of o**4/2 + o**3/3 - 2*o**2 - 4*o. Let s(p) = 7*p**2 + 3*p - 5. Let i(k) = 5*c(k) - 4*s(k). Factor i(y).
2*y*(y - 1)
Let c(d) be the first derivative of 0*d**2 + 0*d - 2*d**3 + 4 - 3/4*d**4 + 3/5*d**5. Solve c(j) = 0.
-1, 0, 2
Let t(x) be the first derivative of 1/15*x**3 - 1/2*x**2 + 1/10*x**4 + 5 + 2/5*x. Factor t(f).
(f - 1)*(f + 2)*(2*f - 1)/5
Let a(n) be the first derivative of n**6/39 + 2*n**5/65 - n**4/26 - 2*n**3/39 - 28. Solve a(u) = 0 for u.
-1, 0, 1
Let m(t) be the first derivative of t**4/30 - 2*t**3/15 + t**2/5 + 4*t - 5. Let u(l) be the first derivative of m(l). Let u(k) = 0. Calculate k.
1
Let h(t) be the second derivative of -t**6/6 + t**5/2 - 5*t**3/3 + 5*t**2/2 - 4*t. Factor h(q).
-5*(q - 1)**3*(q + 1)
Let s = 8 - 6. Find c, given that 8*c**2 - 3*c + 4*c**4 - 16*c**3 - 5*c + 12*c**s = 0.
0, 1, 2
Determine u, given that 1/5*u + 2/5*u**2 + 1/5*u**3 + 0 = 0.
-1, 0
Let d(g) be the third derivative of -7/240*g**5 + 1/6*g**3 + 1/480*g**6 + 0*g**4 - 6*g**2 + 0*g + 0 - 1/1344*g**8 + 1/280*g**7. Determine l so that d(l) = 0.
-1, 1, 2
Suppose -l = -0*l + 3. Let d(q) = 4*q**3 + 12*q**2 + 24*q + 16. Let h(s) = 5*s**3 + 12*s**2 + 24*s + 16. Let x(f) = l*d(f) + 2*h(f). Factor x(n).
-2*(n + 2)**3
Let u be 13/2 + 12/(-4) + -3. Suppose -u*z + 0*z**3 + 0 - z**2 + z**4 + 1/2*z**5 = 0. Calculate z.
-1, 0, 1
Determine p so that 2*p**5 + 4*p**4 - 4*p**2 - 4*p**5 + 4*p**3 - 2*p**5 = 0.
-1, 0, 1
Suppose -3*g + 4*s + 3 = 5, 3*s = 2*g + 2. Factor -2 - 2/3*x**g - 8/3*x.
-2*(x + 1)*(x + 3)/3
Let y = 3 - 5. Let w be y/9 - 152/(-36). Factor 0 - 2/3*q**3 + 2/3*q + 2/3*q**2 - 2/3*q**w.
-2*q*(q - 1)*(q + 1)**2/3
Let m(q) be the second derivative of -q**6/15 + 2*q**5/5 + q**4/3 - 4*q**3 - 9*q**2 + 11*q. Let m(p) = 0. Calculate p.
-1, 3
Let u(l) = l**4 - l**3 - l - 1. Let z(b) = -5*b**5 - 30*b**4 - 40*b**3 - 35*b**2 - 5*b + 5. Let d(f) = 5*u(f) + z(f). Suppose d(c) = 0. What is c?
-2, -1, 0
Let h(j) be the first derivative of 1/5*j**2 + 3/5*j**4 + 2 + 1/15*j**6 - 8/25*j**5 + 0*j - 8/15*j**3. Factor h(v).
2*v*(v - 1)**4/5
Let n(t) be the first derivative of -t**9/3024 + t**7/840 - t**3 - 4. Let s(y) be the third derivative of n(y). Factor s(u).
-u**3*(u - 1)*(u + 1)
Let v(f) be the second derivative of -3*f**2 - 1/18*f**4 + 0 - 2/3*f**3 - 2*f. Factor v(t).
-2*(t + 3)**2/3
Let d = 1 - 10. Let b be (d/3)/((-6)/4). Find j such that j**2 - b*j**2 - 2*j**5 + 5*j**2 + 2*j - 4*j**4 = 0.
-1, 0, 1
Let c(d) = d**5 + d**2 + 1. Let r(q) = 8*q**5 + 2*q**3 + 9*q**2 - q + 9. Let l(a) = 18*c(a) - 2*r(a). Solve l(t) = 0.
-1, 0, 1
Let m be -166*3/126 - -4. Let s(a) be the first derivative of m*a**6 + 0*a**3 + 0*a**5 + 0*a + 0*a**2 - 1/14*a**4 + 2. Solve s(j) = 0.
-1, 0, 1
Factor 16/11*s - 2/11*s**5 + 8/11*s**2 - 12/11*s**3 - 10/11*s**4 + 0.
-2*s*(s - 1)*(s + 2)**3/11
Let r(v) be the third derivative of -v**8/252 - 4*v**7/315 - v**6/90 - 7*v**2. Solve r(m) = 0 for m.
-1, 0
Let s(i) be the first derivative of -i**8/1680 - i**7/420 - i**6/360 + i**3/3 + 2. Let o(z) be the third derivative of s(z). Let o(x) = 0. Calculate x.
-1, 0
Let u(l) be the third derivative of 0*l**3 + 0*l - 1/270*l**5 - l**2 + 0 + 0*l**4. Determine x, given that u(x) = 0.
0
Let x(f) be the third derivative of -f**8/840 - f**7/105 - f**6/45 - f**3/6 + 6*f**2. Let d(b) be the first derivative of x(b). Suppose d(n) = 0. Calculate n.
-2, 0
Let w be -3 + 47/10 + 2/(-4). Suppose 3/5*v**3 - 3/5*v**4 + 9/5*v**2 - 3/5*v - w = 0. Calculate v.
-1, 1, 2
Let f(b) be the first derivative of -b**4/36 + b**3/6 - b**2/3 + 5*b - 6. Let u(l) be the first derivative of f(l). Solve u(z) = 0.
1, 2
Let g be (-74)/(-40) + 6/15. Let a = 261/44 - 24/11. Let 11/4*j**4 + a*j**3 + g*j**2 + 3/4*j**5 + 1/2*j + 0 = 0. What is j?
-1, -2/3, 0
Let h(q) = q**2 + 7*q + 2. Let r be (-9 - -1) + (-4)/(-4). Let u be h(r). Factor -1/2*p**u - 1/4*p**3 - 5/4*p**5 + 0 + 2*p**4 + 0*p.
-p**2*(p - 1)**2*(5*p + 2)/4
Let n(k) be the second derivative of -k**4/54 + k**3/9 - 2*k**2/9 - 27*k. Find t, given that n(t) = 0.
1, 2
Let p be (-39 + 38)*(0 - 2/7). Factor 0 + 2/7*t**2 - p*t.
2*t*(t - 1)/7
Let l be 2/8 + (-54)/(-8). Suppose -l*c + 2*c = 0. Factor 1/2*u**3 + 0*u**2 - 1/2*u**4 + 0*u + c.
-u**3*(u - 1)/2
Let g(t) be the second derivative of -t**7/84 + t**6/60 - 11*t. Let g(w) = 0. What is w?
0, 1
Factor 0*u**2 + 0*u - 4/5*u**4 + 0*u**3 + 2/5*u**5 + 0.
2*u**4*(u - 2)/5
Solve -2/3*j - 1/6 - 1/2*j**2 = 0 for j.
-1, -1/3
Suppose -7*w + 2*w + 33 = -a, a = 2*w - 15. Determine t, given that -t**5 + 0*t**5 + 3*t**4 - 2*t**2 + w*t - 3*t - 2*t**3 + 0*t**5 - 1 = 0.
-1, 1
Let d(c) be the third derivative of c**7/420 - c**6/40 + c**5/10 - c**4/6 - 8*c**2. Find k, given that d(k) = 0.
0, 2
Let x(n) = -14*n + 269. Let p be x(19). Let 0 + 18/5*w**2 + 4/5*w + 8/5*w**p = 0. Calculate w.
-2, -1/4, 0
Factor -13 + 4*o**2 + o**4 + 11 - 3*o**4.
-2*(o - 1)**2*(o + 1)**2
Let r(i) = -i**3 - 6*i**2 + i + 6. Let v be r(-6). Let q(z) be the first derivative of 1/2*z**2 + v*z + 1/3*z**3 - 1. Factor q(x).
x*(x + 1)
Let s(b) = -b**3 + 7*b**2 - 11*b + 5. Let y be s(5). Find l such that y*l - l**2 + 1/2*l**4 + 1/2 + 0*l**3 = 0.
-1, 1
Let v be 5 + 3 + (-6)/3. Let m = v - 3. Find p such that 3*p**3 - 6*p**m + 4*p**3 + p**2 = 0.
-1, 0
Let w(b) be the first derivative of 2*b**3/3 + 10*b**2 + 50*b - 4. Find s, given that w(s) = 0.
-5
Let d(j) = -j**2 + 16*j - 6. Suppose p - 2*v - 13 = 0, 2*p + 5*v - 3 = 32. Let y be d(p). Find m, given that y*m - 77/4*m**2 - 1 - 9*m**3 + 81/4*m**4 = 0.
-1, 2/9, 1
Let m(x) = -x**3 + 6*x**2 + 2. Let t be m(6). Let y**t - 1/2*y**3 - 1/2*y + 0 = 0. What is y?
0, 1
Suppose -3*k - 4*f = 0, -f - 4*f = -5*k. Factor -4/3*r**3 + 2/3*r + 0 + 2/3*r**5 + 0*r**4 + k*r**2.
2*r*(r - 1)**2*(r + 1)**2/3
Let y(r) be the first derivative of -r**6/30 - r**5/6 - r**4/6 - r**2/2 + 3. Let s(f) be the second derivative of y(f). Factor s(h).
-2*h*(h + 2)*(2*h + 1)
Suppose 10 = -14*o + 16*o, 0 = -f - 3*o + 15. Find d such that -1/3*d**3 + 0*d + 2/3*d**2 + f = 0.
0, 2
Let s(d) = d**3 + d**2 + d. Let g(l) = -3*l**3 + 9*l**2 - 17*l + 8. Let f(h) = -2*g(h) - 2*s(h). Factor f(m).
4*(m - 2)**2*(m - 1)
Let u(f) = 8*f - 2. Let v(s) = s**2 - 32*s + 9. Let z(r) = 18*u(r) + 4*v(r). Factor z(j).
4*j*(j + 4)
Let y(f) be the third derivative of -3*f**6/200 - 2*f**5/25 + 3*f**4/40 + 8*f**2. What is r in y(r) = 0?
-3, 0, 1/3
Let g(q) be the third derivative of 1/504*q**8 + 0 + 0*q - 5*q**2 + 1/105*q**7 + 1/60*q**6 + 0*q**3 + 1/90*q**5 + 0*q**4. Factor g(t).
2*t**2*(t + 1)**3/3
Solve 10*k**3 - 3*k**3 + 10*k**2 - 5*k**3 + 5*k + 3*k**3 = 0.
-1, 0
Let k(a) be the second derivative of a**5/300 + a**4/120 - a**3/15 - 3*a**2/2 + 2*a. Let y(u) be the first derivative of k(u). What is t in y(t) = 0?
-2, 1
Let n(f) be the third derivative of 3*f**2 + 0*f**3 + 0*f + 1/20*f**4 + 0 + 3/100*f**5 - 1/100*f**6. Find w such that n(w) = 0.
-1/2, 0, 2
Let j be -1 + 6*4/8. Let v(y) be the first derivative of -1/2*y**4 + 0*y + 0*y**j + 2/3*y**3 - 1. Factor v(x).
-2*x**2*(x - 1)
Let v = -68/11 - -226/33. Factor v*w**2 + 4/3*w - 2.
2*(w - 1)*(w + 3)/3
Factor 2/5*d**2 + 0*d - 2/5.
2*(d - 1)*(d + 1)/5
Let c(h) be the second derivative of 4/3*h**3 + 10/21*h**7 + 2/5*h**6 - 4*h - 7/5*h**5 - h**4 + 0 + 0*h**2. What is j in c(j) = 0?
-1, 0, 2/5, 1
Let l be (-2)/11 + 98/55. Suppose 3*d + 5*u + 4 = -1