rivative of 3*j**5/5 - 15*j**4/4 + 8*j**3 - 6*j**2 - 4. Factor i(v).
3*v*(v - 2)**2*(v - 1)
Let o = 17/2 - 33/4. Suppose 0*v + 0*v**3 + 1/2*v**2 - o - 1/4*v**4 = 0. What is v?
-1, 1
Let j(g) = 6*g**2 + 15*g - 12. Let n(u) = -3*u**2 - 8*u + 6. Let z be (-1)/(3/27*1). Let h(o) = z*n(o) - 5*j(o). Factor h(k).
-3*(k - 1)*(k + 2)
Let w(r) be the first derivative of 3*r**4/16 + r**3/4 - 15*r**2/8 + 9*r/4 + 5. Let w(m) = 0. Calculate m.
-3, 1
Let z(b) = -b**2 - 6*b + 4. Let f be z(-6). Suppose 2*u + 2*u + 3*s - 14 = 0, f*u = 4*s. What is p in -2/5*p + 12/5*p**3 - 7/5*p**4 + 0 - 3/5*p**u = 0?
-2/7, 0, 1
Let h(g) be the first derivative of 7*g**6/2 - 48*g**5/5 + 3*g**4 + 14*g**3 - 33*g**2/2 + 6*g + 19. Factor h(k).
3*(k - 1)**3*(k + 1)*(7*k - 2)
Let v(q) be the second derivative of 1/3*q**2 + 1/9*q**3 + 1/72*q**4 - 3*q + 0. Factor v(t).
(t + 2)**2/6
Let u(o) = o**3 - 3*o**2 - o + 4. Let t be u(3). Suppose -5*a - 4 = 3*r, r - 5 = 2*a + t. Factor -2 + 4*p - r*p**2 + 2.
-2*p*(p - 2)
Let k = 26 - 20. Let z(b) be the third derivative of -1/48*b**4 + 1/120*b**5 + 0 + 1/240*b**k - 1/12*b**3 + 0*b + b**2. Factor z(p).
(p - 1)*(p + 1)**2/2
Let h(c) = -c**2 + 9*c + 13. Let x be h(10). Find q, given that 7*q**2 + 8*q**5 - 12*q**3 - 7*q**5 + q**2 + x*q**5 = 0.
-2, 0, 1
Let n(f) = 4*f**2 + 5. Let u(a) = -5*a**2 - a - 6. Let r(p) = -4*n(p) - 3*u(p). Factor r(b).
-(b - 2)*(b - 1)
Let b(s) be the second derivative of s**7/70 - 23*s**6/50 + 489*s**5/100 - 361*s**4/20 + 32*s**3 - 30*s**2 - 11*s + 3. Factor b(z).
3*(z - 10)**2*(z - 1)**3/5
Let l(i) be the third derivative of -i**5/24 + 65*i**4/48 - 35*i**2 + 2. Factor l(k).
-5*k*(k - 13)/2
Let b(w) be the first derivative of 8/3*w**3 + 8/5*w**5 - 3 - 3*w**4 + 0*w - w**2 - 1/3*w**6. Solve b(d) = 0 for d.
0, 1
Let j(a) be the first derivative of -a**5/10 - 2*a**4/3 - 5*a**3/3 - 2*a**2 + 4*a + 4. Let v(w) be the first derivative of j(w). Suppose v(r) = 0. Calculate r.
-2, -1
Find q, given that 4/5*q - 2/5 - 2/5*q**2 = 0.
1
Determine h so that -h**2 - 4*h**3 + 58*h**4 + 17*h**3 - 13*h**5 + 3*h**2 - 60*h**4 = 0.
-1, -2/13, 0, 1
Let p(s) be the first derivative of -2/5*s**5 + 0*s + 2/3*s**3 - 6 - 1/6*s**6 + 1/4*s**4 + 0*s**2. Factor p(r).
-r**2*(r - 1)*(r + 1)*(r + 2)
Let n(g) be the first derivative of 1/8*g**6 + 1/8*g**4 + 0*g**3 + 1 + 0*g**2 - 1/4*g**5 + 0*g. Factor n(s).
s**3*(s - 1)*(3*s - 2)/4
Let d(a) be the first derivative of 4 + 4*a**2 + a**4 + 8*a - 14/3*a**3. Factor d(m).
2*(m - 2)**2*(2*m + 1)
Let f(z) be the third derivative of z**10/75600 - z**8/10080 - z**5/30 + z**2. Let r(w) be the third derivative of f(w). Factor r(d).
2*d**2*(d - 1)*(d + 1)
Let z(g) be the second derivative of g**5/120 + g**4/12 + 11*g**3/36 + g**2/2 + 22*g. Factor z(a).
(a + 1)*(a + 2)*(a + 3)/6
Let v be ((-3)/27)/((-1050)/18). Let o(i) be the third derivative of -v*i**7 + 0 - 1/300*i**6 + 0*i + 0*i**3 + 2*i**2 + 1/60*i**4 + 1/150*i**5. Factor o(z).
-2*z*(z - 1)*(z + 1)**2/5
What is c in -4 + 11*c + 3 - 19*c - 11*c + 20*c**2 = 0?
-1/20, 1
Let i(m) be the second derivative of -m + 1/20*m**5 + 0 - 7/24*m**4 + 7/12*m**3 - 1/2*m**2. Determine b, given that i(b) = 0.
1/2, 1, 2
Let o(x) be the first derivative of x**4/10 + 4*x**3/15 - 4*x**2/5 - 16*x/5 + 6. Suppose o(z) = 0. Calculate z.
-2, 2
Suppose -302 + 2*k + k**2 + 302 = 0. What is k?
-2, 0
Let l be (-3 - (-20)/8)*0. Let a be ((-40)/18 - -2)*-3. Suppose l*p + 0 + a*p**2 = 0. Calculate p.
0
Suppose 2*i = 3*b - 8*b + 19, 0 = 4*b - 3*i - 6. Determine j, given that 16/3*j**4 - 2*j**5 - 4*j**2 + 14/3*j - 4/3 - 8/3*j**b = 0.
-1, 2/3, 1
Let s(m) = 2*m**2 + 2*m - 8. Let a(z) = -4*z**2 - 8*z + 13. Let c(n) = -4*n**2 - 7*n + 14. Let b(v) = 3*a(v) - 4*c(v). Let f(o) = 4*b(o) - 9*s(o). Factor f(j).
-2*(j - 1)*(j + 2)
Factor 1/4 + 13/8*a**2 + 15/8*a.
(a + 1)*(13*a + 2)/8
Let a(b) = -b - 4. Let u be a(-5). Suppose -3 = -4*k + u. Suppose k - 1 - q**2 + q**4 = 0. Calculate q.
-1, 0, 1
Suppose 0 = -3*x - 4*c + c + 15, 25 = 5*x - 3*c. Suppose 3*a - 6*a + 5 = -y, -y - x*a + 19 = 0. Find s, given that -y*s**2 + 0*s + 5*s**2 - 3*s**2 + 2*s = 0.
0, 1
Let t be (-3)/4 - 250/40. Let y be 1/3*t/(-7). Determine x, given that 1/3*x**3 - 1/3*x - x**2 + 2/3 + y*x**4 = 0.
-2, -1, 1
Let y = -1/189 + 442/189. Let n(p) be the first derivative of 32/5*p**5 - 11/2*p**4 + 4/3*p**3 + 0*p**2 - y*p**6 + 0*p + 1. Determine k, given that n(k) = 0.
0, 2/7, 1
Suppose -3*y = -3 - 24. Let z(o) = o**3 - 10*o**2 + 9*o + 4. Let w be z(y). Let -3*k**3 - 3*k**w + 2*k**2 + 0*k**4 + k**3 + k**2 + 2*k = 0. Calculate k.
-1, -2/3, 0, 1
Let k(d) be the third derivative of -d**8/504 - d**7/105 - d**6/90 + d**5/45 + d**4/12 + d**3/9 + 7*d**2. Factor k(r).
-2*(r - 1)*(r + 1)**4/3
Let z(g) be the second derivative of 0 + 1/120*g**5 + 4*g + 1/12*g**3 + 1/24*g**4 + 1/12*g**2. Solve z(c) = 0.
-1
Let m(o) be the third derivative of -o**6/240 + o**5/120 + o**4/24 + 18*o**2. Factor m(q).
-q*(q - 2)*(q + 1)/2
Let h(v) be the second derivative of -2*v**7/63 - 2*v**6/45 + 2*v**5/15 + 2*v**4/9 - 2*v**3/9 - 2*v**2/3 - 7*v. Factor h(j).
-4*(j - 1)**2*(j + 1)**3/3
Let n(u) be the first derivative of 3*u**5/5 + 9*u**4/4 + 3*u**3 + 3*u**2/2 - 4. Let n(h) = 0. Calculate h.
-1, 0
Let z be 4/(64/4)*2. Let t(r) be the first derivative of 1/8*r**4 - 2 + 3/4*r**2 - 1/2*r**3 - z*r. Factor t(g).
(g - 1)**3/2
Let g(v) = 2*v**3 - 2*v**2 + 6*v + 3. Let y(s) = s**3 - 3*s**2 + 6*s + 2. Let r(n) = 2*g(n) - 3*y(n). Let h be r(-6). Factor h*d - 1/3*d**2 + 0.
-d**2/3
Let t(c) be the third derivative of -c**5/120 + c**4/48 + 3*c**2. Factor t(i).
-i*(i - 1)/2
Factor 1/4*g + 3/8*g**5 + 0 + 11/8*g**4 + 15/8*g**3 + 9/8*g**2.
g*(g + 1)**3*(3*g + 2)/8
Let x(n) be the second derivative of n**7/70 - n**6/10 + 3*n**5/10 - n**4/2 + n**3/2 + 11*n**2/2 - 11*n. Let c(g) be the first derivative of x(g). Factor c(s).
3*(s - 1)**4
Let c(i) be the third derivative of i**5/20 + i**4 + 7*i**3/2 + 27*i**2. Determine j so that c(j) = 0.
-7, -1
Let r(g) = 5*g**2 + 16*g - 22. Let i(h) = h**2 + h - 1. Let k(q) = 6*i(q) - r(q). Solve k(p) = 0.
2, 8
Solve 2/5 - 1/5*t - 1/5*t**2 = 0 for t.
-2, 1
Let c(r) = r**3 + 4*r**2 + 1. Let l be c(-4). Let o be (l*(-12)/15)/(-2). Factor o*y**3 + 2/5*y + 0 + 4/5*y**2.
2*y*(y + 1)**2/5
Let r = -448 + 448. Suppose -6/11*f**4 + 0*f + r + 4/11*f**2 + 10/11*f**3 = 0. What is f?
-1/3, 0, 2
Determine y so that -7 + 40*y - 15*y**2 - 12 - 4 + 3 = 0.
2/3, 2
Let w(a) be the first derivative of 0*a**4 + 3/5*a**5 - a**3 + 0*a**2 + 0*a - 1. Factor w(f).
3*f**2*(f - 1)*(f + 1)
Factor -70*t**4 - 57*t**5 + 355*t**4 + 140*t**3 + 237*t**5 + 20*t**2.
5*t**2*(3*t + 2)**2*(4*t + 1)
Let z(o) be the third derivative of o**7/2520 - o**6/360 + o**5/120 - o**4/24 + 7*o**2. Let n(b) be the second derivative of z(b). Find t, given that n(t) = 0.
1
Let z = -36 + 39. Factor -2*j**z + 0*j - 1/2*j**2 + 0 - 3/2*j**4.
-j**2*(j + 1)*(3*j + 1)/2
Let l(x) be the second derivative of -x**5/4 + 5*x**4/3 + 5*x**3/6 - 10*x**2 - 41*x. Find i such that l(i) = 0.
-1, 1, 4
Let h be 5 + 8/8 - (2 - -2). Find o, given that -34/7*o + 12*o**4 - 4/7 - 20/7*o**3 - 80/7*o**h + 54/7*o**5 = 0.
-1, -1/3, -2/9, 1
Let x(l) be the second derivative of l**8/11200 + l**7/1050 + l**6/240 + l**5/100 - 2*l**4/3 - 2*l. Let w(f) be the third derivative of x(f). Solve w(c) = 0.
-2, -1
Factor 3/5*o**5 + 0 + 0*o - 3/5*o**3 + 3/5*o**2 - 3/5*o**4.
3*o**2*(o - 1)**2*(o + 1)/5
Let f(k) be the second derivative of 0*k**3 + 0*k**2 + 0*k**4 + 0 + 1/45*k**6 - 5*k + 1/21*k**7 + 0*k**5. Solve f(m) = 0.
-1/3, 0
Let v be 1/(-2) - (-3)/(-6). Let k = v + -1. Let j(y) = 4*y**2 - 4*y - 2. Let s(l) = -l**2 + l + 1. Let h(i) = k*s(i) - j(i). Factor h(t).
-2*t*(t - 1)
Let v(q) be the second derivative of -1/42*q**4 + q - 4/21*q**3 - 4/7*q**2 + 0. What is g in v(g) = 0?
-2
Let g(n) be the first derivative of -3*n**4/16 - 3*n**3/4 - 26. Suppose g(x) = 0. What is x?
-3, 0
Find b, given that 4/5*b**2 + 0*b + 0 = 0.
0
Let w(n) = 3*n**2 + 36*n + 147. Let i(s) = -6*s**2 - 71*s - 294. Let o(l) = 6*i(l) + 13*w(l). Let o(f) = 0. Calculate f.
-7
Suppose 3*g - 19 = -4*n, 0 = -2*n - 8*g + 6*g + 10. Let b(t) be the third derivative of 0*t + 0 + 1/48*t**5 + t**2 + 1/8*t**n + 1/6*t**3. Factor b(u).
(u + 2)*(5*u + 2)/4
Let m(v) be the third derivative of v**6/30 + v**5/