the third derivative of -z**9/16632 + z**8/4620 - z**6/990 + z**5/660 + z**3/3 + 3*z**2. Let s(u) be the first derivative of a(u). Solve s(h) = 0.
-1, 0, 1
Let a(y) = -3*y**3 - 13*y**2 + 49*y - 59. Let b = 6 - 11. Let h(n) = 4*n**3 + 12*n**2 - 48*n + 60. Let z(o) = b*h(o) - 6*a(o). Factor z(v).
-2*(v - 3)**3
Let w(o) = o**5 + 10*o**4 + 15*o**3 + 10*o**2 + 10*o - 4. Let a(t) = t**4 + t**3 + t - 1. Let v(s) = -10*a(s) + 2*w(s). What is z in v(z) = 0?
-1
Let h(a) be the second derivative of -a**5/80 + a**4/48 + a**3/12 + 13*a. Determine l so that h(l) = 0.
-1, 0, 2
Let b be (-2)/((-2)/3 - 0). Suppose 5*l - 3*d - 30 = 0, l - d - 28 = 4*d. What is r in 2*r**3 - r + b*r**3 + 2*r**2 - 6*r**l = 0?
0, 1
Suppose -11/4*t**2 + 1/4*t**5 - 1/4*t**4 - t - 9/4*t**3 + 0 = 0. What is t?
-1, 0, 4
Let w(x) be the first derivative of -x**6/6 - 2*x**5 + x**4/2 + 128*x**3/3 - 217*x**2/2 + 98*x + 61. Factor w(m).
-(m - 2)*(m - 1)**2*(m + 7)**2
Let o = -50 + 53. Let d(g) be the first derivative of 0*g**o + 1/4*g**4 + 3 + 0*g**2 + 0*g. Find m, given that d(m) = 0.
0
Let o = 29 + -26. What is c in 0 + 3/2*c**4 + 1/2*c**5 + 0*c**2 + c**o + 0*c = 0?
-2, -1, 0
Let z(l) be the first derivative of 2 - 1/210*l**5 - 1/84*l**4 + 0*l + 2/21*l**3 + l**2. Let i(o) be the second derivative of z(o). Let i(c) = 0. What is c?
-2, 1
Let s = 31/72 - 5/24. Find d, given that -4/9*d**3 + s*d**4 + 2/9*d**2 + 0 + 0*d = 0.
0, 1
Let m(p) be the third derivative of p**5/330 + p**4/33 + 4*p**3/33 - 13*p**2. Factor m(v).
2*(v + 2)**2/11
Suppose 5*u = -4*z + 23, -2*u + 14 = 4*z - 0*z. Let -2/13*m**2 + 0 + 0*m + 2/13*m**u = 0. Calculate m.
0, 1
Let f(s) be the second derivative of -18*s**5/5 + 2*s**4 - s**3/3 - 2*s. Suppose f(t) = 0. Calculate t.
0, 1/6
Let k(r) be the first derivative of r**6/1440 - r**4/96 - 2*r**3/3 + 5. Let g(z) be the third derivative of k(z). Factor g(w).
(w - 1)*(w + 1)/4
Suppose d**3 + 5/3*d - 1/3 - 7/3*d**2 = 0. Calculate d.
1/3, 1
Factor -r**3 + 19*r**4 - 13*r**4 + 3*r**5 + 4*r**3.
3*r**3*(r + 1)**2
Let w = 6 + -1. Factor -6*q**3 + 6*q + 4 - w*q**2 + 3*q**2 + 0*q**4 - 2*q**4.
-2*(q - 1)*(q + 1)**2*(q + 2)
Let x(c) be the second derivative of -c**5/2 + 35*c**4/24 + 5*c**3/6 + 8*c. Factor x(j).
-5*j*(j - 2)*(4*j + 1)/2
Let o be 2*17/2*1. Suppose -d + 6*f - f + o = 0, -5*f = 15. Factor 0 + 0 + s**d - 2*s + 1.
(s - 1)**2
Let d(f) = -f + 6. Let w be d(-3). Let s be w/36 - (-2)/(-8). Suppose s + 1/2*p**3 - p**2 + 1/2*p = 0. Calculate p.
0, 1
Suppose 0*g + g = 5. Find u such that g*u - 5*u - u**4 = 0.
0
Let k(v) = 22*v**2 - 32*v - 16. Let o(h) = 45*h**2 - 64*h - 32. Let l(c) = 5*k(c) - 2*o(c). Determine z so that l(z) = 0.
-2/5, 2
Let l(i) be the first derivative of i**4/84 + i**3/14 + i**2/7 - 5*i - 3. Let g(m) be the first derivative of l(m). Solve g(t) = 0.
-2, -1
Let v(u) = 4*u**3 + 8*u**2 + 12*u + 2. Let x(c) = -21*c**3 - 40*c**2 - 61*c - 9. Let d(b) = 22*v(b) + 4*x(b). Factor d(k).
4*(k + 1)**2*(k + 2)
Suppose -5*a + 13 = -s, 17 = 3*a + a - 3*s. Suppose z = a*z - 2. Solve 2*d**5 - 2*d**5 + z*d**5 = 0.
0
Factor 4 - 4*x**2 - 4*x - 43*x**3 - 50*x**3 + 97*x**3.
4*(x - 1)**2*(x + 1)
Let u(k) be the third derivative of -3*k**2 + 0*k - 1/60*k**6 + 1/6*k**4 + 0 + 1/30*k**5 + 0*k**3. Let u(i) = 0. What is i?
-1, 0, 2
Let z(m) be the third derivative of -m**6/180 - m**5/90 + m**4/18 - 18*m**2. Let z(d) = 0. Calculate d.
-2, 0, 1
Factor 4*q**5 + 10*q**2 - 5*q**3 - 10*q**2 + q**5.
5*q**3*(q - 1)*(q + 1)
Let v(u) be the first derivative of 0*u**2 + 3 - 1/14*u**4 + 0*u - 24/35*u**5 + 2/21*u**3. Factor v(x).
-2*x**2*(3*x + 1)*(4*x - 1)/7
Let o(z) = 4*z**2 - 28*z + 40. Let t(l) = 4*l**2 - 29*l + 41. Let n(s) = -5*o(s) + 4*t(s). Factor n(u).
-4*(u - 3)**2
Let m = -20 + 30. Suppose d = -4*d + 2*a + m, 0 = 5*d + 2*a - 10. Solve 0 - 9/2*r**d - 6*r**3 - r - 5/2*r**4 = 0.
-1, -2/5, 0
Let y be -3*(-2)/(-9)*-1. Let f = -36 - -109/3. Solve f*g**2 + 1/3*g - y = 0 for g.
-2, 1
Suppose 4*q = 21 - 9. Suppose -2*x - 2*s = 0, 0*x + 3*s + 4 = -x. Factor -5 + 4*j**3 - 3*j**x + 3*j + 4 - q*j**3.
(j - 1)**3
Let h(m) be the third derivative of -3*m**7/245 + m**6/70 - m**5/210 - 13*m**2. What is b in h(b) = 0?
0, 1/3
Suppose 3*n + 2*j + 23 = 0, n + 5*j + 10 = 3*n. Let g = 11 + n. Factor 2 + 0*x - 2*x**4 - g*x**2 - 2 + 2*x + 6*x**3.
-2*x*(x - 1)**3
Suppose 0 = 13*c - 10*c. Let z(l) be the first derivative of -2 + c*l**2 + 0*l - 2/21*l**3. Suppose z(x) = 0. Calculate x.
0
Let q(y) = -y**2 - 5*y. Suppose 0*z - 2*c - 6 = 4*z, -2*z - 5*c = -17. Let i be q(z). Suppose 0 - 7*n + 5*n**2 - i + 6 = 0. What is n?
2/5, 1
Solve -72*p - 252*p**3 + 98*p**4 + 5 + 0 + 218*p**2 + 0 + 3 = 0 for p.
2/7, 1
Let b(h) = -3*h - 43. Let q be b(-15). Let n(w) be the first derivative of 5/2*w**2 - q*w - w**3 - 1. Suppose n(x) = 0. Calculate x.
2/3, 1
Let o(g) be the second derivative of -1/60*g**5 - g + 1/18*g**3 - 1/18*g**4 + 1/3*g**2 + 0. Determine f so that o(f) = 0.
-2, -1, 1
Let p(s) be the third derivative of s**7/2100 - s**3/3 + 3*s**2. Let g(y) be the first derivative of p(y). Let g(c) = 0. What is c?
0
Let z(s) be the second derivative of 39*s**5/20 - 11*s**4/4 - s**3 + s + 13. Factor z(c).
3*c*(c - 1)*(13*c + 2)
Let l(y) be the third derivative of y**9/12096 + y**8/3360 - y**6/720 - y**5/480 + 7*y**3/6 - y**2. Let u(t) be the first derivative of l(t). Factor u(a).
a*(a - 1)*(a + 1)**3/4
Let p(u) = 5*u**2 + 0*u**2 + 18*u + 48 + u**2 + 3*u**2. Let o(f) = -8*f**2 - 19*f - 48. Let v(z) = 6*o(z) + 5*p(z). Factor v(m).
-3*(m + 4)**2
Let x(h) = 6*h**2 - 16*h. Let q(g) = -g**2 + 3*g. Let b(f) = -11*q(f) - 2*x(f). Solve b(r) = 0 for r.
-1, 0
Let j(w) be the third derivative of w**6/180 + 2*w**5/45 + w**2. Find i, given that j(i) = 0.
-4, 0
Let q(z) be the third derivative of z**7/70 - z**6/40 - z**5/20 + z**4/8 + 2*z**2. Factor q(o).
3*o*(o - 1)**2*(o + 1)
Let n(i) be the first derivative of -8 + 2/45*i**3 - 1/5*i**2 + 4/15*i. Factor n(z).
2*(z - 2)*(z - 1)/15
Let v(c) be the second derivative of -c**4/4 - 3*c**3/2 - 3*c**2 + 6*c. Factor v(p).
-3*(p + 1)*(p + 2)
Let d(o) be the second derivative of 2*o - 4/9*o**2 + 0 + 1/45*o**5 - 1/135*o**6 - 4/27*o**3 + 1/18*o**4. Factor d(s).
-2*(s - 2)**2*(s + 1)**2/9
Suppose 2371*u - 40 = 2363*u. Suppose -12/7*s**4 + 8/7*s**3 + 4/7*s**u + 0*s + 0*s**2 + 0 = 0. What is s?
0, 1, 2
Determine h so that 7/6*h**3 + 2*h**2 - 1/3 + 1/2*h = 0.
-1, 2/7
Let y be -2 - ((-296)/56 + 4/14). Factor -1/2*p - 1/2*p**4 - 3/2*p**y + 0 - 3/2*p**2.
-p*(p + 1)**3/2
Let m(h) be the first derivative of h**3 - 9*h**2 + 27*h - 48. Determine w, given that m(w) = 0.
3
Suppose 2*z - 7 = 1. Let r(p) be the second derivative of 1/15*p**3 - p + 0*p**6 + 0 + 0*p**z - 1/25*p**5 + 1/105*p**7 + 0*p**2. Factor r(b).
2*b*(b - 1)**2*(b + 1)**2/5
Suppose -2*u + 2*r + 8 = 0, 4*r = -0*u - 2*u + 2. Factor -2/13*l**4 - 2/13*l**u + 0 + 2/13*l + 2/13*l**2.
-2*l*(l - 1)*(l + 1)**2/13
Suppose -v**2 - 4*v - 7 - 3*v**2 + 15 = 0. Calculate v.
-2, 1
Suppose 3 = -4*y + 11. Suppose y*o + 15 = 5*o. Factor -d**3 - 2*d**o + d**3 + 2*d**3.
-2*d**3*(d - 1)*(d + 1)
Let i(n) = -n**2. Let b(z) = 2*z**2 - 4*z - 3. Let l(y) = 2*b(y) + 6*i(y). Let l(u) = 0. What is u?
-3, -1
What is t in -1/10*t**2 + 1/10 + 0*t = 0?
-1, 1
Determine f so that 3/4*f**2 + 3/4*f - 3/4*f**4 + 0 - 3/4*f**3 = 0.
-1, 0, 1
Suppose 2*w - 29 = 3*l, -5*w = l + 3*l - 15. Let i be 3/63 - (-2)/w. Factor 1/3*c**2 + i*c**3 + 0 + 0*c.
c**2*(c + 1)/3
Let i(d) be the first derivative of 3*d**5/10 - 3*d**4/2 + 12*d**2 - 24*d - 22. Factor i(u).
3*(u - 2)**3*(u + 2)/2
Let g(w) = -5*w**3 - 10*w**2 - 5*w - 11. Let o(j) = j**3 + 2*j**2 + j + 2. Let l be (-18)/(-15)*10/(-3). Let r(i) = l*g(i) - 22*o(i). Factor r(v).
-2*v*(v + 1)**2
Let s(r) = r**3 - r**2 - 4*r. Let y be s(3). Let o = y - 3. Find i such that -3*i + 3*i**3 + 2*i - i**o + 3*i**5 - 4*i**5 = 0.
-1, 0, 1
Factor 2/7*z**2 + 0*z - 1/7*z**4 - 1/7 + 0*z**3.
-(z - 1)**2*(z + 1)**2/7
Let p(n) be the second derivative of -n**7/21 + n**6/9 - n**5/15 + 6*n. Determine v, given that p(v) = 0.
0, 2/3, 1
Let t(p) be the first derivative of -1/10*p**4 + 2/25*p**5 - 1 + 1/5*p**2 + 0*p - 2/15*p**3. What is l in t(l) = 0?
-1, 0, 1
Suppose 2*r = -5*a - 1, r + 6*a = a - 3. Suppose 0 = 2*k - 4*h + 12, 4*k - 16 = -r*h - 0*h. Determine i so that 0 + 1/3*i**k - 