derivative of 9*o**6/40 - 3*o**5/10 + o**4/6 - 7*o**3/3 - 6. Let p(h) be the third derivative of s(h). Suppose p(v) = 0. Calculate v.
2/9
Let s = -13 + 18. Let u(t) be the first derivative of -2*t**3 + 4*t**2 + 2/5*t**s - 1 - t**4 + 8*t. Solve u(v) = 0.
-1, 2
Let c(w) be the first derivative of -3*w**4/8 + 15*w**3/4 - 21*w**2/8 + 8. Factor c(v).
-3*v*(v - 7)*(2*v - 1)/4
Let t = -4/59 + 256/295. Factor -t*s + 0 + 2/5*s**2.
2*s*(s - 2)/5
Let l(g) be the third derivative of g**7/42 - g**5/6 + 5*g**3/6 - 3*g**2. Factor l(d).
5*(d - 1)**2*(d + 1)**2
Let t = -9 - -13. Let c(q) = q - q**2 + 0*q**3 + t*q**3 + q - 2*q**2. Let p(i) = -3*i**3 + 2*i**2 - i. Let g(y) = -2*c(y) - 3*p(y). Factor g(k).
k*(k - 1)*(k + 1)
Factor -9*u**2 + 4*u**4 + 9*u**3 - 15*u**3 + 17*u**2 - 12*u**3.
2*u**2*(u - 4)*(2*u - 1)
Let a(r) = 5*r + 118. Let b be a(-23). Suppose 2/3 + 2/3*c**4 - 4/3*c**2 + 0*c + 0*c**b = 0. What is c?
-1, 1
Let i(p) be the second derivative of p**4/16 - p**3/6 + p**2/8 - 3*p. Factor i(s).
(s - 1)*(3*s - 1)/4
Let -1 + 6*o**2 - 3*o - 2 + 30*o**2 = 0. Calculate o.
-1/4, 1/3
Let o(g) be the second derivative of -6*g**6/5 + 11*g**5/5 - 2*g**4/3 + 8*g. Factor o(m).
-4*m**2*(m - 1)*(9*m - 2)
Let w(g) be the first derivative of -g**3/15 + 3*g**2/10 + 4*g/5 + 4. Factor w(h).
-(h - 4)*(h + 1)/5
Let f(z) be the third derivative of z**6/40 - 9*z**5/80 + z**4/16 - 20*z**2 - z. Determine d, given that f(d) = 0.
0, 1/4, 2
Find g, given that 1/5*g**4 + 0 - 1/5*g**2 - 2/5*g + 2/5*g**3 = 0.
-2, -1, 0, 1
Suppose -2*y = -7*y + 40. Let g be y/12*2/4. Factor -g*o + 1/3 + 1/3*o**3 - 1/3*o**2.
(o - 1)**2*(o + 1)/3
Factor 1/2*a**2 + 1/6*a**3 + 1/3*a + 0.
a*(a + 1)*(a + 2)/6
Suppose 5*l - 9*l = 0. Let l + 1/3*c**2 + 1/3*c = 0. Calculate c.
-1, 0
Let b(n) be the first derivative of -n**7/10 - 2*n**6/5 - 11*n**5/20 - n**4/4 + 4*n**2 - 6. Let x(s) be the second derivative of b(s). Factor x(z).
-3*z*(z + 1)**2*(7*z + 2)
Let w(y) be the first derivative of -y**7/2100 + y**6/150 - 3*y**5/100 - 2*y**3 + 2. Let q(k) be the third derivative of w(k). What is v in q(v) = 0?
0, 3
Let a be -3*((-6)/(-2))/(-3). Let p(u) be the third derivative of 1/96*u**4 + 0*u + 3*u**2 + 0 - 1/240*u**5 + 1/12*u**a. Factor p(v).
-(v - 2)*(v + 1)/4
Let x(p) be the third derivative of 0*p**3 + 1/504*p**8 + 0*p + 0 + 0*p**4 - 1/315*p**7 + 0*p**6 + 0*p**5 + 2*p**2. Suppose x(y) = 0. What is y?
0, 1
Let g(a) be the second derivative of -1/65*a**5 + 0 + 4*a + 0*a**2 + 1/273*a**7 + 0*a**3 + 0*a**4 + 1/195*a**6. Factor g(y).
2*y**3*(y - 1)*(y + 2)/13
Let p = -371/4 - -93. Factor 3/4*c**3 - c - 1/2*c**4 + c**2 - p*c**5 + 0.
-c*(c - 1)**2*(c + 2)**2/4
Let f = 24 + -47/2. Factor 1/2*g**2 + 0 + 3/2*g**4 + 0*g + 3/2*g**3 + f*g**5.
g**2*(g + 1)**3/2
Let u be 3 + 3/(-12)*0. Let m be 0/1*7*6/42. Determine s, given that 0 + 2/7*s**5 - 2/7*s**u + 0*s**2 + 0*s**4 + m*s = 0.
-1, 0, 1
Suppose 2 = -5*o + 3*c + 9, -6 = -5*o + 4*c. Let g(w) be the third derivative of 0 + o*w**2 - 1/60*w**5 - 2/3*w**3 + 1/6*w**4 + 0*w. Factor g(q).
-(q - 2)**2
Let b be (24/(-16))/(3/(-4)). Determine c, given that 3*c**b - 10*c**5 + c**5 - 6*c + 43 - 43 - 3*c**4 + 15*c**3 = 0.
-1, 0, 2/3, 1
Let c be 208/(-56) - (-2)/(-7). Let u be -3 - 15/(-6) - c. Suppose -o + u*o**2 - 5/2*o**3 + 0 = 0. Calculate o.
0, 2/5, 1
Let v(c) be the second derivative of -5/126*c**7 + 23/90*c**6 + 4/9*c**3 + 0*c**2 + 1/9*c**4 + 0 - 1/2*c**5 - 3*c. What is k in v(k) = 0?
-2/5, 0, 1, 2
Let p(r) be the first derivative of 1/50*r**5 - r + 3 + 1/15*r**3 - 1/15*r**4 + 0*r**2. Let o(n) be the first derivative of p(n). Factor o(y).
2*y*(y - 1)**2/5
Let w(x) = -3*x**4 + 5*x**3 - 13*x**2 + 7*x + 4. Let k(a) = -24*a**4 + 39*a**3 - 105*a**2 + 57*a + 33. Let y(p) = -4*k(p) + 33*w(p). Factor y(u).
-3*u*(u - 1)**3
Let x(z) = -4*z**4 + 14*z**3 + 4*z**2 + 10*z - 6. Let j(q) = 9*q**4 - 29*q**3 - 7*q**2 - 21*q + 13. Let g(r) = 6*j(r) + 13*x(r). Factor g(y).
2*y*(y + 1)**2*(y + 2)
Let k = -192/5 - -389/10. Find z, given that 1/2*z**5 - z**3 + k*z + 0*z**2 + 0*z**4 + 0 = 0.
-1, 0, 1
What is g in -3*g**2 + 3*g - 12 + 5*g + 7*g**2 = 0?
-3, 1
Let b(f) = f + 4. Let v be b(-2). Factor -v*g + g + 4*g**2 - 5*g**2.
-g*(g + 1)
Let r(j) be the second derivative of -j**8/4200 + j**6/450 - j**4/60 + 2*j**3/3 - 3*j. Let n(p) be the second derivative of r(p). Factor n(v).
-2*(v - 1)**2*(v + 1)**2/5
Let g be (-1)/(-4) - 165/(-140). Suppose 4*a - 20 = 4*o, 0*o + 3*o + 2*a = 10. Let -8/7*l + 16/7*l**2 + o - g*l**3 + 2/7*l**4 = 0. What is l?
0, 1, 2
Let b = 188/15 + -37/3. Factor -1/5*s - 1/5*s**2 + 1/5*s**3 + 0 + b*s**4.
s*(s - 1)*(s + 1)**2/5
Let p(w) be the first derivative of 1/12*w**3 + 1/4*w**2 + 0*w - 1/8*w**4 - 7 - 1/20*w**5. Factor p(q).
-q*(q - 1)*(q + 1)*(q + 2)/4
Suppose -5*a - 2*m + 14 = -4*m, 2*a - 6 = m. Let j be (-3)/18 - (-1)/a. Determine w, given that -j*w**5 + 2/3*w**3 - 1/3 - 1/3*w - 1/3*w**4 + 2/3*w**2 = 0.
-1, 1
Suppose -4/11*s - 2/11*s**3 - 6/11*s**2 + 0 = 0. What is s?
-2, -1, 0
Let d = 148 - 146. Let -1/4*j**d - 1/2*j + 0 = 0. Calculate j.
-2, 0
Let o(a) be the third derivative of -a**7/595 - 2*a**6/255 - a**5/170 + a**4/102 + 55*a**2. Find z such that o(z) = 0.
-2, -1, 0, 1/3
Let p(i) = -2*i**4 - 2*i**3. Let g(f) = -f**5 + f**3. Let a(m) = -4*g(m) - 2*p(m). Let a(r) = 0. What is r?
-1, 0
Let a(c) be the first derivative of 0*c**2 + 0*c - 5 - 1/3*c**3 + 1/4*c**4. Factor a(n).
n**2*(n - 1)
Let z(a) = -a**3 - 19*a**2 - 20*a - 36. Let n be z(-18). Find q, given that n - q**2 - 1/3*q**3 - 2/3*q = 0.
-2, -1, 0
Let s(k) = -k**2 - 2*k + 3. Let z(p) = 2*p**2 + 5*p - 7. Let g(q) = -5*s(q) - 2*z(q). Suppose g(o) = 0. Calculate o.
-1, 1
Let x(u) = -u**3 - 16*u**2 + 15*u - 34. Let w be x(-17). Suppose -2/5*q - 1/5*q**2 + w = 0. What is q?
-2, 0
Let o(a) be the first derivative of a**8/4200 - a**6/900 - 2*a**3/3 - 2. Let i(h) be the third derivative of o(h). Factor i(v).
2*v**2*(v - 1)*(v + 1)/5
Let k(d) be the first derivative of 16*d**4/3 + 32*d**3/9 - 14*d**2/3 + 4*d/3 + 12. Suppose k(a) = 0. What is a?
-1, 1/4
Let j(r) be the first derivative of -2*r**3/63 - 5*r**2/21 - 8*r/21 - 3. Factor j(f).
-2*(f + 1)*(f + 4)/21
Let n(o) = -o**3 - 5*o**2 + 2*o + 5. Let g be n(0). Factor -2/3*y**3 + 1/3*y**g + 0*y**4 + 0 + 1/3*y + 0*y**2.
y*(y - 1)**2*(y + 1)**2/3
Let s(j) be the first derivative of 2*j**6/21 + 8*j**5/35 - 2*j**4/7 - 16*j**3/21 + 2*j**2/7 + 8*j/7 - 12. Let s(a) = 0. What is a?
-2, -1, 1
Factor 15*v**3 + 18*v**4 - 12*v + 6*v**2 - 5*v**5 - 8*v**4 - 26*v**2 - 8*v.
-5*v*(v - 2)**2*(v + 1)**2
Determine a so that -a + 2*a**4 - 2*a**2 + 444*a**3 + 7*a - 450*a**3 = 0.
-1, 0, 1, 3
Suppose -2*j = 3*j + 4*v, 5*j + 2*v = 0. Let 2/7*y**2 + 2/7*y**3 - 4/7*y**4 + 0*y + j = 0. What is y?
-1/2, 0, 1
What is s in 0 - 1/4*s**3 + 0*s + 1/4*s**4 - 1/2*s**2 = 0?
-1, 0, 2
Let j(m) be the third derivative of 1/60*m**5 + 1/12*m**4 + m**2 + 0*m - 1/120*m**6 + 0*m**3 + 0. Factor j(k).
-k*(k - 2)*(k + 1)
Factor 8/7*h**2 + 2/7*h**3 + 4/7 + 10/7*h.
2*(h + 1)**2*(h + 2)/7
Let g(r) = 2*r - 1. Let o be g(-1). Let s be o/(-2)*(-24)/(-9). Factor -3*k**2 + 4*k**3 - 7*k**4 + s*k**4 + 2*k**3.
-3*k**2*(k - 1)**2
Let n(b) = -b**2 + 5. Let o(c) = -7. Let q(w) = 1. Let j(r) = o(r) + 6*q(r). Let d(z) = -10*j(z) - 2*n(z). Find h such that d(h) = 0.
0
Let y be (3 - 2) + 1 - 3. Let k = y - -1. Let 3*i + k*i - i**2 - 2*i = 0. Calculate i.
0, 1
Let l(i) = i**3 + i**2 + i. Let b(g) = -23*g**3 + 22*g**2 - 2*g. Suppose 4*m - 45 = -m. Suppose 4*s - 1 = -m. Let d(r) = s*l(r) + b(r). Factor d(n).
-n*(5*n - 2)**2
Let f(z) be the third derivative of -z**8/504 - z**7/315 + z**6/180 + z**5/90 - 8*z**2. Factor f(g).
-2*g**2*(g - 1)*(g + 1)**2/3
Let u(z) = 4*z - 3. Let n be u(2). Factor -j**4 + j**n + 0*j**5 + 2*j**4 - 2*j**3.
j**3*(j - 1)*(j + 2)
Let c be (-4)/(-10) - (-2)/(-5). Suppose q = -s + 7, 7 = -c*s - 4*s + 3*q. Factor -16 + u**4 + 16 - u**s.
u**2*(u - 1)*(u + 1)
Let g = 171 + -505/3. Let h(i) = -6*i - 50. Let a be h(-9). Factor -1/3*q**a - 4/3*q + 0 - g*q**2 - 5/3*q**3.
-q*(q + 1)*(q + 2)**2/3
Let o = -7 - -12. Suppose -f**3 - 4*f**2 + 3*f**4 + 3*f**5 + f**3 - 4*f**o = 0. What is f?
-1, 0, 2
Let o(v) = 2*v - 4. Let c be o(4). Solve 0 + 0*r**2 + 4/3*r**c - 2/3*r**3 - 2/3*r**5 + 0*r = 0.
0, 1
Let z(k) be the third derivative of k**6/480 +