 - 8*j/5 - 8. Find r such that o(r) = 0.
2/11
Suppose 4*j + j = -10. Let i be (-2)/9 + j/(-9). Solve 3*v**5 + 2*v**4 - 5*v**5 - 2*v**2 + i*v**4 + 2*v**3 = 0 for v.
-1, 0, 1
Let t(a) be the third derivative of 0*a**6 + 1/70*a**7 - 3*a**2 + 0 + 0*a**4 + 0*a - 1/10*a**5 + 1/2*a**3. Solve t(u) = 0 for u.
-1, 1
Suppose -t**2 - 3*t + 3*t**3 - 2*t**3 + 5*t + 4*t**2 = 0. What is t?
-2, -1, 0
Let t(m) be the first derivative of -m**6/360 + m**5/60 - m**4/24 + m**3/3 - 2. Let b(o) be the third derivative of t(o). Factor b(k).
-(k - 1)**2
Let g(h) be the second derivative of 1/6*h**4 - 2*h**2 - 2*h + 1/3*h**3 + 0. Factor g(v).
2*(v - 1)*(v + 2)
Find l, given that -3*l**3 + 12*l**2 + l**3 + 10*l + l**3 + 3*l**3 = 0.
-5, -1, 0
Let y(t) be the first derivative of 1/3*t**3 + 1/4*t**2 + 3 + 1/8*t**4 + 0*t. Factor y(x).
x*(x + 1)**2/2
Let s(t) be the first derivative of -2*t**5/25 + 2*t**3/15 - 2. Solve s(g) = 0 for g.
-1, 0, 1
Let v(a) be the first derivative of -2 + 0*a + 1/12*a**4 - a**2 - 1/15*a**5 + 0*a**3 + 1/60*a**6. Let t(j) be the second derivative of v(j). Factor t(q).
2*q*(q - 1)**2
Let r = 0 - -5. Let v(x) be the second derivative of 1/30*x**r + 0 + 1/3*x**3 + x + 1/3*x**2 + 1/6*x**4. Let v(b) = 0. What is b?
-1
Let l(c) be the first derivative of -c**4/42 + c**3/21 - 4*c + 2. Let v(p) be the first derivative of l(p). What is g in v(g) = 0?
0, 1
Let o(x) be the first derivative of x**6/21 - 6*x**5/35 + 3*x**4/14 - 2*x**3/21 - 28. Solve o(c) = 0 for c.
0, 1
Factor 3/8*a + 3/4*a**2 + 0 + 3/8*a**3.
3*a*(a + 1)**2/8
Find f such that 0*f + 1/3*f**5 + 0 - 1/3*f**2 - 1/3*f**3 + 1/3*f**4 = 0.
-1, 0, 1
Let h(f) be the second derivative of 4*f**2 + 0 - 8/3*f**3 - 5/6*f**4 - f. Factor h(w).
-2*(w + 2)*(5*w - 2)
Factor -6*b**3 + 1 - 2*b**4 - 1 + 6*b + 5*b**4 - 3*b**2.
3*b*(b - 2)*(b - 1)*(b + 1)
Let m(s) be the first derivative of s**5/300 - s**4/120 - s**3/15 + s**2 + 4. Let j(p) be the second derivative of m(p). Factor j(k).
(k - 2)*(k + 1)/5
Let i(o) be the first derivative of o**4/3 - 2*o**2/3 + 10. Suppose i(x) = 0. What is x?
-1, 0, 1
Let c(i) = -5*i - 6. Let f be c(-4). Let s = -10 + f. What is w in -2*w**3 + 0 - 2*w**3 + s*w + 2*w**4 - 2 = 0?
-1, 1
Let c(a) = 20*a**5 + 29*a**4 - 2*a**3 - 11*a**2 + 11. Let b(u) = 7*u**5 + 10*u**4 - u**3 - 4*u**2 + 4. Let m(l) = 11*b(l) - 4*c(l). Let m(n) = 0. What is n?
-1, 0
Factor -2/5*k**2 + 12/5*k - 18/5.
-2*(k - 3)**2/5
Factor -3*v**5 - 12*v**4 + 18*v - 32*v**2 + 16*v**5 + 28*v**3 - 11*v**5 - 4.
2*(v - 2)*(v - 1)**4
Let 72/5 + 24/5*x + 2/5*x**2 = 0. Calculate x.
-6
Let f(h) be the first derivative of h**4/42 - h**3/7 + 2*h**2/7 + 2*h - 2. Let p(x) be the first derivative of f(x). Factor p(b).
2*(b - 2)*(b - 1)/7
Let a(u) be the second derivative of -u**7/77 - u**6/165 + 3*u**5/22 + 5*u**4/66 - 4*u**3/11 - 4*u**2/11 - 17*u. Suppose a(r) = 0. Calculate r.
-2, -1, -1/3, 1, 2
Let f(t) be the second derivative of 0 - 1/6*t**3 + 6*t + 0*t**2 - 5/24*t**4. Find v such that f(v) = 0.
-2/5, 0
Let v be ((-58)/(-66) + -1)*(-243)/54. Solve -2/11*j + 2*j**2 - 2*j**3 + v*j**4 - 4/11 = 0 for j.
-1/3, 1, 2
Let k be 2 - (2 - (-21)/(-15)). Let q(g) be the second derivative of 2/3*g**3 - 3*g + 0*g**2 + 0 - k*g**5 + 1/2*g**4 - g**6. Solve q(h) = 0 for h.
-1, -1/3, 0, 2/5
Let d(p) be the second derivative of -p**4/16 + p**3/4 - 3*p**2/8 - p. Factor d(b).
-3*(b - 1)**2/4
Let q(k) = -5*k - 1. Let w be q(-1). Let t(c) be the second derivative of 3/40*c**5 + 0 + 1/15*c**6 + c + 0*c**2 + 0*c**w + 1/56*c**7 - 1/24*c**3. Factor t(n).
n*(n + 1)**3*(3*n - 1)/4
Factor -30*b**2 + 8*b - 14*b**2 + 28*b**2 - 2*b**4 + 10*b**3.
-2*b*(b - 2)**2*(b - 1)
Let g(h) be the first derivative of -h**5/130 - h**4/39 + h**3/39 + 2*h**2/13 + h - 4. Let w(y) be the first derivative of g(y). What is n in w(n) = 0?
-2, -1, 1
Let d(x) = -3*x**2 + 5*x + 3. Let y(v) = -4*v**2 + 8*v + 4. Let t(z) = 8*d(z) - 5*y(z). Factor t(n).
-4*(n - 1)*(n + 1)
Let y(h) be the first derivative of h**3/12 - h/4 - 1. Find i, given that y(i) = 0.
-1, 1
Let x(l) = 2*l**3 - 9*l**2 + 2*l + 5. Let p(m) = 5*m**2 - 3 - 3*m + 2*m + 6*m**3 - 7*m**3. Let c(a) = -5*p(a) - 3*x(a). Factor c(r).
-r*(r - 1)**2
Let q(a) be the first derivative of 0*a**2 + 1 + 2/15*a**5 - 1/6*a**4 - 2/9*a**3 + 0*a + 1/9*a**6. Suppose q(y) = 0. Calculate y.
-1, 0, 1
Find a such that -a**2 - a**2 - 73*a**3 + a + 74*a**3 = 0.
0, 1
Let y(t) be the second derivative of 3*t**5/4 - 7*t**4/4 + t**3 + 15*t. Factor y(g).
3*g*(g - 1)*(5*g - 2)
Let y(l) be the first derivative of -l**4/18 + l**3/9 - 2*l - 4. Let a(k) be the first derivative of y(k). Factor a(b).
-2*b*(b - 1)/3
Let d(v) be the second derivative of -v**7/2520 - v**6/180 - v**5/40 - v**3/3 + 9*v. Let g(q) be the second derivative of d(q). Factor g(r).
-r*(r + 3)**2/3
Let t(f) be the first derivative of 8*f**6/9 + 8*f**5/3 + 3*f**4/4 - 13*f**3/9 + f**2/3 - 11. Find k, given that t(k) = 0.
-2, -1, 0, 1/4
Let f = -29 - -19. Let d be f/(-3) - (1 - -1). Solve -1/3*x**4 - 1/3 - 2*x**2 - d*x - 4/3*x**3 = 0 for x.
-1
Let f(r) be the first derivative of r**3/6 - r**2 + 2*r + 6. Suppose f(s) = 0. What is s?
2
Suppose -3*u**3 + 5*u + u - 11*u**2 + 8*u**2 = 0. Calculate u.
-2, 0, 1
Let g(p) be the first derivative of p**3/2 - 5*p**2/2 + 3*p/2 + 1. Let g(b) = 0. What is b?
1/3, 3
Let j be (4 - 2) + 15/((-15)/2). Solve j + 1/2*k**2 - 3/2*k = 0.
0, 3
Factor -3/7*x**2 - 24/7*x + 27/7.
-3*(x - 1)*(x + 9)/7
Let t = 3 + -1. What is i in -6*i**t - 6 + 3 - 2*i**3 + 0 + 1 - 6*i = 0?
-1
Let o(a) be the first derivative of a**3/18 - a/6 + 10. Factor o(h).
(h - 1)*(h + 1)/6
Let c(i) be the second derivative of i**4/4 - 8*i. Suppose c(n) = 0. Calculate n.
0
Let g(u) be the first derivative of 8/17*u - 4/17*u**2 + 2/51*u**3 + 1. Solve g(w) = 0.
2
Suppose 3*c - 5*n + 16 = -9*n, c + 8 = -2*n. Determine s, given that 8/7*s**5 - 2/7*s + c + 10/7*s**4 - 6/7*s**3 - 10/7*s**2 = 0.
-1, -1/4, 0, 1
Let y be (-1)/(5/(-2))*5. Determine d so that 6*d - d + 2 + 2*d**y - 4*d - 3*d**2 = 0.
-1, 2
Let r(c) be the third derivative of -c**8/161280 + c**7/20160 - c**5/12 - c**2. Let i(y) be the third derivative of r(y). Factor i(n).
-n*(n - 2)/8
Let w be 1 + (-8)/(-2) - 1. Let i be w - (1 - (-20)/12). Factor 0*c + i*c**2 + 14/3*c**3 + 0.
2*c**2*(7*c + 2)/3
Suppose -2*l = 4*g - 4, 11 = 2*g + 4*l + 15. Factor 1/4*f**3 + f**g + f + 0.
f*(f + 2)**2/4
Let m be (-1 + 1)/(-9 + 7). Let -6*u + m*u**2 + 2*u**2 + 49*u**4 - 51*u**4 + 4*u**3 + 2*u = 0. What is u?
-1, 0, 1, 2
Factor 0 + 1/3*f**2 - 1/3*f.
f*(f - 1)/3
Suppose -3*q**3 - 8*q**3 + 4*q**2 + 12*q**3 - 2*q + 6*q = 0. Calculate q.
-2, 0
Find f such that -2/7*f**2 - 2/7 + 4/7*f = 0.
1
Let b(c) be the third derivative of 0*c + 1/10*c**5 + 0 - 1/70*c**7 - c**2 + 1/112*c**8 - 1/2*c**3 + 1/8*c**4 - 1/20*c**6. Solve b(f) = 0.
-1, 1
Let z(p) be the third derivative of -1/6*p**3 + 0*p + 0 - p**2 + 5/12*p**4 - 5/12*p**5. Find b, given that z(b) = 0.
1/5
Let p(o) be the second derivative of 1/2*o**2 - 1/12*o**3 + 17/20*o**5 - 2/3*o**4 + 1/12*o**7 + 2*o - 13/30*o**6 + 0. Determine y, given that p(y) = 0.
-2/7, 1
Factor -8/7*i**2 - 2/7*i**3 + 0 - 6/7*i.
-2*i*(i + 1)*(i + 3)/7
Let f(g) be the second derivative of -1/15*g**6 + 0 + 1/27*g**4 - 2/15*g**5 - 1/9*g**2 + 4/27*g**3 + 3*g. Factor f(h).
-2*(h + 1)**2*(3*h - 1)**2/9
Let b = -3863/4 + 1216849/1260. Let x(q) be the third derivative of b*q**7 + 0 + 0*q**5 + 0*q - 1/18*q**4 - 1/9*q**3 - 2*q**2 + 1/90*q**6. Factor x(w).
2*(w - 1)*(w + 1)**3/3
Let f(l) = -17*l + 7. Let d be f(8). Let b be -5*(d/(-45) - 3). Factor -1/3*c**2 - 1/3 + b*c.
-(c - 1)**2/3
Let c(q) be the second derivative of -q**4/30 + q**3/5 + 4*q**2/5 + 10*q. Let c(w) = 0. What is w?
-1, 4
Suppose 0*k + 10/13*k**2 - 2/13*k**4 + 0*k**3 - 8/13 = 0. What is k?
-2, -1, 1, 2
Let u(o) be the third derivative of o**5/240 - 7*o**2. Find m, given that u(m) = 0.
0
Let g be 38/(-80) + 6/10. Let b(u) be the second derivative of -3/40*u**5 + 0*u**2 - 1/12*u**3 + 0 - g*u**4 - 1/60*u**6 - u. Let b(d) = 0. Calculate d.
-1, 0
Let z(c) be the first derivative of -c**4/24 + c**2/12 - 12. Let z(n) = 0. What is n?
-1, 0, 1
Let l(h) be the second derivative of h**4/3 + 16*h**3/3 + 32*h**2 + 2*h. Determine x so that l(x) = 0.
-4
Let m(a) be the first derivative of a**6/1440 - 2*a**3/3 + 2.