he third derivative of 0 - 1/360*w**6 + 0*w**5 - w**2 + 0*w**3 + 0*w - 1/630*w**7 + 0*w**4. Factor v(j).
-j**3*(j + 1)/3
Let g be (-18)/24*3/(-6). Let z(r) be the first derivative of 1/24*r**6 + 1/6*r**3 - 3/20*r**5 - 2 + 1/8*r**4 + 1/4*r - g*r**2. Let z(f) = 0. What is f?
-1, 1
Let u(x) be the second derivative of -x**7/112 - x**6/20 - 3*x**5/32 - x**4/16 - 8*x. Solve u(q) = 0 for q.
-2, -1, 0
Factor 3/8*u**2 + 1/8*u**3 + 0 + 1/4*u.
u*(u + 1)*(u + 2)/8
Let n(t) be the first derivative of -2*t**5/35 + 5*t**4/14 - 6*t**3/7 + t**2 - 4*t/7 + 14. Solve n(x) = 0.
1, 2
Let a(f) be the second derivative of -f**5/50 - 2*f**4/15 + f**3/3 - 7*f - 3. Let a(g) = 0. Calculate g.
-5, 0, 1
Suppose -3*d - l + 4 = 0, -2*d - d = 4*l - 16. Let p(y) be the third derivative of 1/24*y**4 - 2*y**2 + 0*y + d - 1/40*y**5 + 0*y**3. Factor p(m).
-m*(3*m - 2)/2
Let d(x) be the second derivative of x**9/7560 - x**4/4 + 3*x. Let i(j) be the third derivative of d(j). Solve i(b) = 0 for b.
0
Let n = -15 - -16. Suppose 2*g + n - 7 = 0. Suppose -1/2*a + 0 + 3*a**2 - 9/2*a**g + 2*a**4 = 0. Calculate a.
0, 1/4, 1
Let d(c) be the first derivative of 2/15*c**5 - 2/3*c + 2/3*c**2 + 0*c**3 - 1 - 1/3*c**4. Factor d(n).
2*(n - 1)**3*(n + 1)/3
Let n(h) be the second derivative of -5*h**4/12 + 5*h**3/6 + 8*h. Suppose n(x) = 0. What is x?
0, 1
Let f be ((-4)/(-3))/((-7)/(-21)). What is m in 3*m + m**5 - 2*m**5 - 2*m**2 - f*m**3 + 2*m**3 + m**4 + 2*m**4 - 1 = 0?
-1, 1
Suppose -4*t + 57 = 5*n, 2*n - 24 = -2*n + 4*t. Suppose -2*v**3 - 4*v**3 - 2*v**2 - 10*v**2 + 21*v**4 - n*v**2 + 6*v = 0. Calculate v.
-1, 0, 2/7, 1
Solve 2/7*a + 4/7*a**3 + 10/7*a**2 - 4/7 = 0 for a.
-2, -1, 1/2
Let w(j) be the second derivative of -j**6/90 - j**5/20 - j**4/36 + j**3/6 + j**2/3 + 6*j. Factor w(h).
-(h - 1)*(h + 1)**2*(h + 2)/3
Suppose 2*z + 4*t - 6 - 8 = 0, 0 = -z - 3*t + 9. Let u(p) be the first derivative of -z - p**2 - 2/3*p**3 + 4*p. Factor u(n).
-2*(n - 1)*(n + 2)
Let v(g) be the second derivative of -g**5/140 - g**4/28 + 2*g**2/7 + 8*g. Let v(c) = 0. What is c?
-2, 1
Let a(n) = n**4 + 4*n**3 + 4*n**2 + 3. Let x(u) = -2*u**4 - 8*u**3 - 8*u**2 - 7. Let k(f) = -14*a(f) - 6*x(f). Let k(p) = 0. What is p?
-2, 0
Let g(f) = 13*f**3 + 8*f**2 - 37*f + 8. Let a(z) = -25*z**3 - 15*z**2 + 75*z - 15. Let d(n) = -2*a(n) - 5*g(n). Suppose d(c) = 0. Calculate c.
-2, 1/3, 1
Let a(q) be the first derivative of -q**3/3 - 5*q**2/2 + 6*q + 4. Let u be a(-6). Suppose 1/3*i**3 - 2/3*i**2 + 1/3*i + u = 0. What is i?
0, 1
Let m be 30/(-4)*36/(-45). Suppose z - 19 = -4*g, 2*z = -2*g + m*z - 4. Let -6/7*y**g - 2/7*y**5 + 2/7 - 4/7*y**3 + 4/7*y**2 + 6/7*y = 0. What is y?
-1, 1
Suppose -6*k - 20 = -16*k. Let o(r) be the first derivative of 1/4*r**4 - 2*r - 4/3*r**3 - 3 + 5/2*r**k. Suppose o(p) = 0. Calculate p.
1, 2
Let i(y) be the first derivative of -y**3/9 - 5*y**2/6 - 42. Factor i(v).
-v*(v + 5)/3
Let s be 25/(-9) - -2 - 12/(-12). Factor 0 + 0*h**3 + s*h - 2/9*h**5 - 4/9*h**4 + 4/9*h**2.
-2*h*(h - 1)*(h + 1)**3/9
Let y(q) be the first derivative of q**4/4 + q**3/3 - 5*q**2/2 + 3*q + 22. Suppose y(t) = 0. What is t?
-3, 1
Let q(g) be the third derivative of -g**5/140 + g**4/56 - 3*g**2. Find i, given that q(i) = 0.
0, 1
Factor -8/13 + 2/13*t**2 + 0*t.
2*(t - 2)*(t + 2)/13
Suppose -2*c**2 + 4*c**3 + 30*c - 15*c - 2*c**4 - 15*c = 0. What is c?
0, 1
Let t = 1318/45 + -260/9. Factor 6/5*i**3 - t*i**4 + 0 + 2/5*i - 6/5*i**2.
-2*i*(i - 1)**3/5
Let h = 114 + -455/4. Factor 0 + 1/4*o**3 - 1/2*o**2 + h*o.
o*(o - 1)**2/4
Let v(o) be the second derivative of -2/5*o**2 + 0 - 1/10*o**4 + 1/3*o**3 + 1/75*o**6 - 1/50*o**5 + 4*o. Solve v(k) = 0.
-2, 1
Let o(y) = 5*y**5 - 10*y**3 + 10*y**2 - 5*y. Let k(m) = 5*m**5 - m**4 - 9*m**3 + 9*m**2 - 4*m. Let i(d) = 5*k(d) - 4*o(d). Factor i(q).
5*q**2*(q - 1)**2*(q + 1)
Find b such that 52/3*b**2 - 14/3*b**3 - 40/3*b - 16/3 = 0.
-2/7, 2
Let t(p) = -13*p - 269. Let z be t(-21). Factor -3/4 + 0*r**2 + 3/2*r - 3/2*r**3 + 3/4*r**z.
3*(r - 1)**3*(r + 1)/4
Let u(q) be the third derivative of -q**6/540 - q**5/270 + q**4/27 + 4*q**3/27 - 7*q**2. Determine p so that u(p) = 0.
-2, -1, 2
Let h(w) be the first derivative of w**6/2 + 3*w**5/5 - 3*w**4/4 - w**3 - 21. Solve h(k) = 0 for k.
-1, 0, 1
Suppose 3*r - 2 = -d, 8*r = 5*r - 5*d + 10. Suppose -4/7*v**2 - 4/7*v**3 + 3/7*v**4 + 0 + r*v = 0. Calculate v.
-2/3, 0, 2
Let l(p) be the second derivative of -3*p**2 - 10*p**4 - 19/2*p**3 + 10*p + 0 + 15/4*p**5. Factor l(x).
3*(x - 2)*(5*x + 1)**2
Let i(h) = h**2 - 1. Let a(y) = y**3 + 6*y**2 + 6*y + 6. Let o be a(-5). Let c(b) = 3*b**2 - 4. Let q(z) = o*c(z) - 4*i(z). Factor q(d).
-d**2
Let t(r) be the first derivative of r**6/18 + r**5/10 - 17*r**4/24 + 13*r**3/18 + r**2/4 - 2*r/3 - 10. Determine c so that t(c) = 0.
-4, -1/2, 1
Let f(b) be the third derivative of -1/48*b**4 + 1/20*b**5 + 2*b**2 - 3/80*b**6 + 0 + 1/105*b**7 + 0*b**3 + 0*b. Determine q, given that f(q) = 0.
0, 1/4, 1
Let u = -529/51 - -182/17. Determine l, given that 4/3 + u*l**2 + 4/3*l = 0.
-2
Let h(x) = 9*x**2 - 7*x - 2. Let c(o) = -3*o**2 + 2*o + 1. Let m(z) = -11*c(z) - 4*h(z). Factor m(p).
-3*(p - 1)**2
Suppose 5*x - 4*j - 8 = 0, 6 = -5*x - 2*j - j. Let a = -5 - -21/4. Factor 1/2*m + x - a*m**2.
-m*(m - 2)/4
Let d(p) = -30*p**3 + 81*p**2 + 9*p - 81. Let v = -9 + 7. Let k(r) = -3*r**3 + 8*r**2 + r - 8. Let g(j) = v*d(j) + 21*k(j). Factor g(l).
-3*(l - 2)*(l - 1)*(l + 1)
Let y be (((-4)/4)/3)/((-2)/3). Solve y*i**2 + 0 + 1/2*i = 0 for i.
-1, 0
Let b(f) be the third derivative of f**7/105 - f**6/60 - f**5/30 + f**4/12 + 4*f**2. Solve b(m) = 0 for m.
-1, 0, 1
Let c(y) be the first derivative of -y**3 - 3*y**2 - 7. Factor c(s).
-3*s*(s + 2)
Factor 3/2 + 3/4*o**3 + 0*o**2 - 9/4*o.
3*(o - 1)**2*(o + 2)/4
Let r = -4 - -7. Let u = -1 + r. Let -u*j - 4*j + 2*j**2 + 4*j = 0. What is j?
0, 1
Suppose -9*m + 13*m - 8 = 0. Let n(f) be the third derivative of -1/8*f**4 + m*f**2 + 1/20*f**5 + 1/6*f**3 + 0*f - 1/120*f**6 + 0. Factor n(r).
-(r - 1)**3
Let l(q) be the second derivative of -5*q**4 - 26*q**3/3 + 4*q**2 + 18*q + 1. Find i, given that l(i) = 0.
-1, 2/15
Let r(i) be the third derivative of -1/8*i**4 + 0 - 1/120*i**5 - 3/4*i**3 - 3*i**2 + 0*i. Solve r(p) = 0 for p.
-3
Let y(m) be the second derivative of 5*m**7/42 - m**5/4 + 35*m. Find h, given that y(h) = 0.
-1, 0, 1
Let h(g) = g**2 + g - 1. Let f(a) = -31*a**2 - 21*a + 6. Let z(v) = f(v) - 4*h(v). Factor z(x).
-5*(x + 1)*(7*x - 2)
Let p(x) be the third derivative of 0*x + 0 + 0*x**3 + 1/3*x**4 - 2*x**2 - 1/20*x**6 - 1/105*x**7 + 0*x**5. Factor p(z).
-2*z*(z - 1)*(z + 2)**2
Let k(p) be the first derivative of 2*p**6/3 - 8*p**5/5 - 3*p**4/4 + 5*p**3/3 + p**2 - 41. Let k(q) = 0. What is q?
-1/2, 0, 1, 2
Let x(y) be the first derivative of -y**5/120 + y**3/12 + 7*y**2/2 - 7. Let r(p) be the second derivative of x(p). Find h such that r(h) = 0.
-1, 1
Let p(t) be the first derivative of t**3/3 + 3*t**2/2 + 2*t - 5. Factor p(i).
(i + 1)*(i + 2)
Factor -2/5*n**2 + 0 - 16/5*n.
-2*n*(n + 8)/5
Let p(f) be the first derivative of 0*f + 2/5*f**3 - 9/20*f**4 + 0*f**5 + 1/10*f**6 - 5 + 0*f**2. Factor p(a).
3*a**2*(a - 1)**2*(a + 2)/5
Let o(c) be the third derivative of c**10/151200 + c**9/30240 + c**8/20160 - c**5/20 + 3*c**2. Let d(u) be the third derivative of o(u). Factor d(w).
w**2*(w + 1)**2
Let f(y) be the third derivative of 1/30*y**5 + 1/35*y**7 + 0*y + 0*y**3 + 0*y**4 + 2*y**2 + 0 + 1/15*y**6. Factor f(m).
2*m**2*(m + 1)*(3*m + 1)
Let y(z) be the second derivative of 1/50*z**5 + 0*z**2 + 0 + 0*z**4 - 1/15*z**3 + 5*z. Factor y(b).
2*b*(b - 1)*(b + 1)/5
Let y = -386 + 389. Find m such that -7/5*m**4 + 0 + 0*m - m**y + 2/5*m**2 = 0.
-1, 0, 2/7
Let n(a) = 16*a**2 + 2*a + 1. Let w be n(-1). Suppose 4*q - 2*z = -z + 11, 0 = -5*z - w. Factor -8*c - 4*c**2 + 8*c + q*c**3 + 2*c**4.
2*c**2*(c - 1)*(c + 2)
Let q = 4 - 7. Let y = -1 - q. Factor 2*u**y + 4*u - 2*u**3 - 2*u + 0*u**3 - 2*u**4.
-2*u*(u - 1)*(u + 1)**2
Let w(l) = -l**2 - 39*l - 54. Let v(k) = 2*k**2 + 38*k + 53. Let f(n) = 4*v(n) + 3*w(n). Factor f(j).
5*(j + 2)*(j + 5)
Suppose -b - 21 = -4*y, -5 = 8*b - 3*b. Let c(i) be the second derivative of 0*i**4 - i + 0 + 1/20*i**y + 0*i**3 + 0*i**2. Solve c(w) = 0 for w.
0
Suppose 0 = 15*c - 14*c - 6. Let s be 1*(c