r**4/4 + 3*r**3 + 3*r**2/2 - 6*r + 3. Factor y(j).
-3*(j - 1)**2*(j + 1)*(j + 2)
Factor -34*k**2 - 29*k**2 + 65*k**2 + 20 + 24*k - 10*k.
2*(k + 2)*(k + 5)
Let i(q) be the first derivative of q**6/720 + q**5/40 + 3*q**4/16 + 4*q**3/3 + 2. Let w(h) be the third derivative of i(h). Factor w(u).
(u + 3)**2/2
Suppose -4*t - 8 + 32 = -z, 4*t - 3*z - 24 = 0. Suppose 7*x - t = 4*x. Factor 4*j**2 - j**3 - 6*j**x + 4*j**2 + j**2.
-j**2*(j - 3)
Solve -3/8*r**2 + 3/8 + 0*r = 0.
-1, 1
Let z = -400/3 + 134. Find f, given that -z + 0*f + 2/3*f**2 = 0.
-1, 1
Let w(y) be the third derivative of y**5/210 - y**3/21 - 8*y**2 + 4*y. Solve w(x) = 0.
-1, 1
Let u(q) = -21*q**4 - 45*q**3 - 6*q**2 + 12*q + 6. Let v(y) = -20*y**4 - 44*y**3 - 7*y**2 + 12*y + 5. Let t(j) = -5*u(j) + 6*v(j). Suppose t(z) = 0. What is z?
-2, -1, 0, 2/5
Let b(r) be the first derivative of -r**4/16 - r**3/6 - r**2/8 - 42. What is d in b(d) = 0?
-1, 0
Let x(v) be the first derivative of v**4/9 - 4*v**3/27 - 2*v**2/9 + 4*v/9 - 4. What is b in x(b) = 0?
-1, 1
Let k = 13 - 9. Let f(n) be the first derivative of -1/33*n**6 + 0*n + 2/55*n**5 - 2/33*n**3 + 1 + 1/22*n**k + 0*n**2. Factor f(j).
-2*j**2*(j - 1)**2*(j + 1)/11
Suppose 0 = 2*z + 19 - 7. Let d = z - -8. Suppose 0*l - 2/9 + 2/9*l**d = 0. What is l?
-1, 1
Let w(n) = 15*n**3 + 6*n**2 - 3*n - 3. Let v(d) = 4 - 31*d**3 + 9 - 6 - 6*d**2 + 6*d - 5*d**2. Let u(b) = 3*v(b) + 7*w(b). What is f in u(f) = 0?
-1, 0, 1/4
Let u = -14 + 14. Factor 1/4*b**3 + u*b + 0*b**2 + 0.
b**3/4
Let g(a) be the third derivative of 4*a**7/105 - a**6/30 - 2*a**5/5 + 7*a**4/6 - 4*a**3/3 - 7*a**2. Factor g(n).
4*(n - 1)**2*(n + 2)*(2*n - 1)
Factor 2/5*x**3 + 0*x**2 - 2/5*x + 1/5 - 1/5*x**4.
-(x - 1)**3*(x + 1)/5
Factor -108 + 108 - 12*w**3 + 16*w**2 - 4*w.
-4*w*(w - 1)*(3*w - 1)
Suppose 0 = 3*u - 50 - 10. Let f = u - 18. Solve -1/4*y + 0 + 1/4*y**f = 0.
0, 1
Factor 41*c - 4*c**2 - 16 - 57*c + 0*c**2.
-4*(c + 2)**2
Let i(n) be the third derivative of -n**9/5040 + n**7/420 - n**5/40 + n**4/8 + 2*n**2. Let o(w) be the second derivative of i(w). Factor o(m).
-3*(m - 1)**2*(m + 1)**2
Let h = 43682/5 - 8694. Let t = -42 + h. Factor t*z - 2/5*z**2 + 0.
-2*z*(z - 1)/5
Let w(a) = -5*a**3 - a**2 - 7*a + 5. Let c(i) = 6*i**3 + 2*i**2 + 8*i - 6. Let u be 153/(-45) + 6/(-10). Let x(z) = u*c(z) - 5*w(z). Factor x(g).
(g - 1)**3
Let m(l) be the first derivative of -1/3*l**3 - 1 + 0*l - 5/24*l**4 - 1/2*l**2 - 1/20*l**5. Let o(p) be the second derivative of m(p). Factor o(w).
-(w + 1)*(3*w + 2)
Let o(d) = d - 3. Let j be o(10). Suppose -2*g - 3 = -j. Suppose 0*c**3 - g*c**3 + c**2 + c**3 = 0. What is c?
0, 1
Let c(q) = -q**3 + q**2 + 15*q - 9. Let j be c(4). Factor 12 + 3/2*l**j + 18*l + 9*l**2.
3*(l + 2)**3/2
Determine v, given that 52*v**2 + v**5 - 53*v**2 + 0*v**4 + v**4 - v**3 = 0.
-1, 0, 1
Let t(n) = 7*n**2 - 6*n + 4. Let y(p) = 3*p**2 - 3*p + 2. Let j(s) = 6*t(s) - 15*y(s). Factor j(x).
-3*(x - 2)*(x - 1)
Let r(h) be the third derivative of 0 - 1/42*h**4 + 1/21*h**3 - 1/735*h**7 + 0*h**5 + 1/210*h**6 - 4*h**2 + 0*h. What is c in r(c) = 0?
-1, 1
Solve 1/6*g**3 - 1/6*g**2 - 1/6*g + 1/6 = 0 for g.
-1, 1
Suppose 48*p + 40*p - 95*p = 0. Factor 0 + g**2 + 1/2*g**5 - 1/2*g + p*g**3 - g**4.
g*(g - 1)**3*(g + 1)/2
Let f(x) be the first derivative of -9*x**4/10 - 10*x**3/3 + 6*x**2/5 + 22. Factor f(c).
-2*c*(c + 3)*(9*c - 2)/5
Let c be 16/(-40) + 4/10. Let h(w) be the third derivative of 1/30*w**5 + 0*w**3 + 1/6*w**4 - w**2 - 1/60*w**6 + c*w + 0. Factor h(k).
-2*k*(k - 2)*(k + 1)
Factor 51/4*x**2 + 4913/4 + 867/4*x + 1/4*x**3.
(x + 17)**3/4
Let t(f) = 7*f + 9. Let d be t(-1). Let h(a) be the first derivative of 2/3*a**3 - 3*a**d - 4 + 4*a. Factor h(q).
2*(q - 2)*(q - 1)
Let n(p) be the first derivative of 3 + 3/5*p**2 + 2/15*p**3 + 4/5*p. Find d such that n(d) = 0.
-2, -1
Let v = 56 + -53. Let k(c) be the first derivative of -1/5*c**2 + 0*c + 3/10*c**4 + 4/15*c**3 + v. Suppose k(d) = 0. Calculate d.
-1, 0, 1/3
Let p(s) be the third derivative of 0*s**3 + 1/60*s**5 + 0 + 1/12*s**4 + 0*s + 2*s**2. Solve p(h) = 0 for h.
-2, 0
Let j be (-10 - -14) + (-44)/13 + 0. Let 2/13*o**2 + 8/13 + j*o = 0. What is o?
-2
Let p(g) = 3*g**3 - 1. Let j be p(-1). Let b be -4 - (-3 + 6/j). Determine v, given that -1/4*v**3 + 0 - b*v**4 + 1/2*v**2 + 1/4*v = 0.
-1, -1/2, 0, 1
Factor -24/5*a**3 + 4/5*a**4 + 0 + 48/5*a**2 - 32/5*a.
4*a*(a - 2)**3/5
Let p(s) be the third derivative of 7*s**2 + 0 + 1/20*s**5 - 1/2*s**4 + 8/3*s**3 + 0*s - 1/480*s**6. Let p(r) = 0. What is r?
4
Let h = 154/5 - 28. Determine x so that 0 - 2*x**4 - 2/5*x**5 - h*x**2 - 4/5*x - 18/5*x**3 = 0.
-2, -1, 0
Let s(p) be the third derivative of p**8/84 + 2*p**7/105 - p**6/10 - p**5/15 + p**4/3 + 8*p**2. Let s(i) = 0. Calculate i.
-2, -1, 0, 1
Suppose 5*g - 61 = -3*a, -44 = -4*g + 2*a - 6*a. Find c such that -9*c**3 + g*c**2 + 5*c**3 + 2*c**2 + 8 - 20*c = 0.
1, 2
Let -8/3 + 8/9*f + 38/9*f**2 + 2/3*f**3 = 0. Calculate f.
-6, -1, 2/3
Let j(s) be the first derivative of 20*s**3/3 + 12*s**2 + 4*s + 11. Factor j(w).
4*(w + 1)*(5*w + 1)
Let v(a) = a**2 - 9*a + 3. Let n(d) = 1. Let j(b) = 2*n(b) + v(b). Let g be j(9). Determine h, given that 0 + 8*h**3 + 4/3*h**2 + 7*h**4 - 49/3*h**g + 0*h = 0.
-2/7, 0, 1
Factor 0 + c**4 + 1/2*c - 9/4*c**2 + 3/4*c**3.
c*(c - 1)*(c + 2)*(4*c - 1)/4
Let h = -38 - -38. Let u(i) be the first derivative of 1/4*i**4 + 2/3*i**3 - 1 + h*i + 1/2*i**2. Solve u(j) = 0.
-1, 0
Suppose 5*z + 195 = 5*m, -3*m = -4*m - 2. Let y = z + 289/7. Factor 0*u + 0 - y*u**2.
-2*u**2/7
Let t(y) be the first derivative of -y**7/2940 - y**6/1260 + y**5/420 + y**4/84 - 4*y**3/3 - 2. Let s(i) be the third derivative of t(i). Solve s(d) = 0.
-1, 1
Let x be (5/(-10))/((-2)/64). Suppose 3*v + 15 = 2*o, v + x = 3*o + 4. Find z, given that 2/3*z**4 + 14/3*z + 4/3 + 10/3*z**o + 6*z**2 = 0.
-2, -1
Let m(k) be the second derivative of k**5/4 - 10*k**3/3 - 15*k. Factor m(l).
5*l*(l - 2)*(l + 2)
Let t(b) be the third derivative of b**8/420 - 2*b**7/105 + b**6/15 - 2*b**5/15 + b**4/6 - 2*b**3/15 - b**2. Determine y, given that t(y) = 0.
1
Let x(w) be the first derivative of -w**8/112 - w**7/35 + w**5/10 + w**4/8 - 11*w**2/2 - 5. Let q(l) be the second derivative of x(l). Factor q(u).
-3*u*(u - 1)*(u + 1)**3
Let i be 0*((-3)/(-1))/6. Factor 3*j - j + 0*j + 2*j**2 + i*j.
2*j*(j + 1)
Let i(x) be the second derivative of -x**6/195 + x**5/130 + x**4/78 - x**3/39 + 8*x. Factor i(j).
-2*j*(j - 1)**2*(j + 1)/13
Suppose 2*i = -i + 18. Let h(g) be the third derivative of -16/21*g**3 - 1/735*g**7 - 4/35*g**5 + 2/105*g**i + 0 - 3*g**2 + 8/21*g**4 + 0*g. Factor h(a).
-2*(a - 2)**4/7
Let k = 30/11 - 68/33. Factor k*g**2 + 4/9*g + 2/9*g**3 + 0.
2*g*(g + 1)*(g + 2)/9
Let j(b) = 3*b**3 - 3*b - 4. Let y(s) = -s**3 + 1. Let l(m) = j(m) + 2*y(m). Find g such that l(g) = 0.
-1, 2
Suppose -3*w + 4*s = -17, -2 = 3*w + s - 9. Suppose -w*d + 2*z - 8 = 0, 0*d + 3*d = 5*z - 20. Solve d*r - 1/4*r**3 + 0*r**2 + 1/4*r**4 + 0 = 0 for r.
0, 1
Let g be (-3)/(-9)*2*-3. Let r be (-6)/g - (-1 - 0). Find x such that 25*x**4 + 5*x - 14*x**5 - 18*x**2 - x + 10*x**3 - 7*x**r = 0.
-1, 0, 2/7, 1
Let w(k) be the second derivative of 9/80*k**5 - 1/16*k**4 + 0 + 0*k**3 + 2*k + 0*k**2. Find b, given that w(b) = 0.
0, 1/3
Let i be 0 - 4*3/(-6). Let y = 4 - i. Solve -8 - 6*q**2 + 3*q**y - 3*q**2 + 12*q + q**3 = 0 for q.
2
Let k be 1 + (-10)/((-160)/(-12)). Let w(x) be the first derivative of k*x**2 + 5 + 1/6*x**3 + 0*x. Factor w(u).
u*(u + 1)/2
Let w = -5167/6 - -859. Let n = w - -5/2. Factor -1/3*g + 1/3*g**2 - 1/3*g**4 + 0 + n*g**3.
-g*(g - 1)**2*(g + 1)/3
Let j(z) = -16*z**2 + 20. Let l(g) = 3*g**2 - 4. Let h(u) = -2*j(u) - 11*l(u). Solve h(n) = 0 for n.
-2, 2
Let m(u) be the first derivative of -u**4/28 - u**3/7 + u**2/14 + 3*u/7 + 8. Factor m(h).
-(h - 1)*(h + 1)*(h + 3)/7
Let x = 71/195 - 2/65. Let j(b) be the first derivative of -x*b**3 + 2 - 1/4*b**4 + b**2 + 0*b. Solve j(l) = 0.
-2, 0, 1
Factor 0*b + 2/13 - 2/13*b**2.
-2*(b - 1)*(b + 1)/13
Let r(t) be the second derivative of -t**7/98 - 3*t**6/70 - 9*t**5/140 - t**4/28 + 7*t. Solve r(z) = 0.
-1, 0
Suppose u = -4*h + 102, -u - u = 2*h - 54. Determine t, given that 4*t - 12*t - h*t**4 + 29*t**4 - 12*t**2 = 0.
-1, 0, 2
Let l be 410 + 0 + 20/5. Let c be