Determine r so that 0*r + 2/5*r**2 - 2/5*r**5 + 0 + 2/5*r**3 - 2/5*r**4 = 0.
-1, 0, 1
Let w = -51/10 + 59/10. Determine b, given that -w + 2/5*b + 4/5*b**2 - 2/5*b**3 = 0.
-1, 1, 2
Suppose -3*z + 14 = 3*k - 4*z, 5*z = 4*k - 26. Suppose j = k, a - 2*a = -5*j + 18. Find t such that -2/5 - 2/5*t**4 + 0*t + 4/5*t**a + 0*t**3 = 0.
-1, 1
Let t(u) = -11*u**2 + 16*u - 16. Let r(i) = 5*i**2 - 8*i + 8. Let p(q) = 14*r(q) + 6*t(q). What is w in p(w) = 0?
2
Let u(i) be the third derivative of -i**8/756 - 2*i**7/945 - 38*i**2. Let u(n) = 0. What is n?
-1, 0
Let w be (4 - 4) + 2/9. Determine i so that -2/9*i - w*i**2 + 4/9 = 0.
-2, 1
Solve 2*p**2 + 7*p - 3*p**2 - 4 + 3*p - 5*p = 0.
1, 4
Let b = 5 + 13. Suppose b = -5*w - h + 108, -5*h + 72 = 4*w. Solve 16*d**2 + 44*d**3 + 2*d + w*d**5 + 3*d**4 - 5*d**4 + 50*d**4 = 0.
-1, -1/3, 0
Let u(b) = b**3 - 3*b**2 - b + 5. Let k(h) = -h + 1. Let x(n) = -k(n) + u(n). Let q be x(3). Solve -3/5*y**q + 1/5 + 2/5*y**2 - 1/5*y**5 - 2/5*y**3 + 3/5*y = 0.
-1, 1
Let b(h) be the second derivative of h**8/462 - h**7/385 - h**6/660 + h**2/2 - h. Let j(l) be the first derivative of b(l). Let j(u) = 0. Calculate u.
-1/4, 0, 1
Suppose -8*r + 70 = -3*r. Suppose -2*a = -5*x - 0*x + r, 0 = 2*x + 2*a. Factor 4/7*b**x - 2/7*b**3 + 0*b + 0.
-2*b**2*(b - 2)/7
Let r(u) be the third derivative of u**8/336 + u**7/105 - 3*u**6/20 + 8*u**5/15 - 23*u**4/24 + u**3 + 20*u**2. Let r(c) = 0. Calculate c.
-6, 1
Let c(u) be the second derivative of u**5/10 - u**4/6 - u**3/3 + u**2 + 8*u. Determine p so that c(p) = 0.
-1, 1
Let s(v) be the first derivative of 2*v**3/21 + 6*v**2/7 + 18*v/7 - 16. Factor s(a).
2*(a + 3)**2/7
Let q(v) be the second derivative of 2*v**7/21 + 4*v**6/15 - 2*v**4/3 - 2*v**3/3 - 8*v. Factor q(s).
4*s*(s - 1)*(s + 1)**3
Let o(a) = -7*a + 2*a**4 - a**4 - 6 + 4*a**4 + a**3 - 5*a**2. Let p(j) = 11*j**4 + 2*j**3 - 11*j**2 - 15*j - 13. Let n(u) = -13*o(u) + 6*p(u). Factor n(f).
f*(f - 1)**2*(f + 1)
Let y(r) = r**2 + 3 - 4 - 2*r**2 - 5*r**3 + 2*r**2. Let i be y(-1). Factor -i*f**3 + 11*f**3 + 6*f**2 + 2*f + 0*f**2 + 2*f**4.
2*f*(f + 1)**3
Let v = 21 + -19. Let d(z) be the second derivative of 0 - 1/12*z**4 + z + 0*z**3 + 1/2*z**v. Determine l so that d(l) = 0.
-1, 1
Let s(k) be the third derivative of 1/200*k**6 + 1/350*k**7 - 6*k**2 - 1/100*k**5 + 0 + 0*k**4 + 0*k**3 + 0*k - 1/560*k**8. Factor s(d).
-3*d**2*(d - 1)**2*(d + 1)/5
Let i(j) be the second derivative of -j**6/70 - 3*j**5/70 + j**3/7 + 3*j**2/14 - 10*j. Let i(z) = 0. What is z?
-1, 1
Let l = -15 + 11. Let x(u) = -u**3 - 4*u**2 + 4. Let v be x(l). Factor 0*b + b**3 + 1/2*b**v + 0 + 1/2*b**2.
b**2*(b + 1)**2/2
Let x(k) be the first derivative of 3*k**4 + 32/3*k**6 - 1/2*k**2 - 2 + 0*k - 5/3*k**3 + 16*k**5. Solve x(m) = 0 for m.
-1, -1/4, 0, 1/4
Let x(k) be the first derivative of 3*k**4/4 + 2*k**3 - 57. Let x(f) = 0. Calculate f.
-2, 0
Let -4/17 + 2/17*x + 2/17*x**2 = 0. Calculate x.
-2, 1
Suppose 0 = -10*m + 6*m + 16. Let c(r) be the third derivative of -7/80*r**5 + 0*r + 1/4*r**3 - 2*r**2 + 0 - 5/32*r**m. Solve c(t) = 0 for t.
-1, 2/7
Let n = 9 + -14. Let a(q) = -7*q + 5. Let w(o) = -o**2 + o - 1. Let u(d) = -a(d) + 2*w(d). Let s(p) = -p**2 + 1. Let l(x) = n*s(x) - u(x). Factor l(k).
(k - 1)*(7*k - 2)
Let h(n) be the third derivative of n**7/840 + n**6/180 + n**5/120 - 5*n**3/6 + n**2. Let x(r) be the first derivative of h(r). Solve x(a) = 0.
-1, 0
Let n(w) be the second derivative of w**6/45 - w**5/15 - 2*w**4/9 + 2*w**3/9 + w**2 - 11*w. Determine l, given that n(l) = 0.
-1, 1, 3
Let v(p) be the first derivative of 2 + 5/6*p**4 + 1/3*p**2 + 8/9*p**3 + 0*p + 4/15*p**5. Find m such that v(m) = 0.
-1, -1/2, 0
Suppose -7*h = -h - 12. Factor 3*m**2 + 6 - 3*m + m**2 - 2*m**2 - 5*m**h.
-3*(m - 1)*(m + 2)
Let s = 6 + -4. Suppose m = -p + 6, 0 = -s*p + 3*m - 2*m. Let 7/2*n**3 + 0 - n**p + 0*n = 0. Calculate n.
0, 2/7
Let g(m) = -3*m + 105. Let r be g(34). Let n(o) be the second derivative of 0*o**4 + 1/20*o**5 + 0 + 0*o**r + 1/30*o**6 + 0*o**2 - 2*o. Factor n(p).
p**3*(p + 1)
Let t(j) be the third derivative of j**6/480 + j**5/80 + j**4/32 + j**3/24 - 2*j**2. Find w such that t(w) = 0.
-1
Factor -4/3*z + 8/3*z**3 - 4/3*z**5 - 8/3*z**2 + 4/3*z**4 + 4/3.
-4*(z - 1)**3*(z + 1)**2/3
Find m, given that 2*m**3 - 15*m + 17*m - 4*m**4 - 2*m + 2*m**5 = 0.
0, 1
Let o(b) be the first derivative of b**3 - 6*b**2 - 15*b - 20. Factor o(q).
3*(q - 5)*(q + 1)
Let b(h) be the first derivative of 3*h**4/4 + 2*h**3 + 3*h**2/2 - 2. Factor b(u).
3*u*(u + 1)**2
Find r, given that 9/8*r**2 - 3/8*r - 3/8*r**4 - 3/4 + 3/8*r**3 = 0.
-1, 1, 2
What is j in -4/3*j - 1/3*j**2 + 4/3 + 1/3*j**3 = 0?
-2, 1, 2
Find c, given that 0 - 8/3*c**4 - 2/3*c**5 - 2/3*c - 8/3*c**2 - 4*c**3 = 0.
-1, 0
Let f(k) be the first derivative of -k**3/3 - 3*k**2 - 9*k + 16. Factor f(v).
-(v + 3)**2
Let g(y) be the first derivative of -y**6/30 + y**5/10 + y**4/12 - y**3/3 + 2*y + 4. Let j(v) be the first derivative of g(v). Suppose j(m) = 0. Calculate m.
-1, 0, 1, 2
Let d(y) be the third derivative of y**7/2380 + y**6/1530 - y**5/1020 - y**3 + 5*y**2. Let b(s) be the first derivative of d(s). Factor b(x).
2*x*(x + 1)*(3*x - 1)/17
Let n(z) be the third derivative of z**8/168 + 2*z**7/63 + z**6/15 + z**5/15 + z**4/36 - 20*z**2. Factor n(m).
2*m*(m + 1)**3*(3*m + 1)/3
Suppose 0*g + g = 0. Let u(d) be the third derivative of g + 2*d**2 + 1/24*d**4 + 0*d + 1/15*d**3 - 7/300*d**5. Let u(k) = 0. What is k?
-2/7, 1
Determine v so that -1 + 9/2*v - 6*v**2 + 2*v**3 = 0.
1/2, 2
Let o(f) be the third derivative of f**5/60 - f**4/24 - 4*f**2. Factor o(i).
i*(i - 1)
Let q(t) be the third derivative of 0*t**3 + 0 + 0*t**7 + 0*t + 0*t**4 - 1/15*t**5 - 1/168*t**8 + 2*t**2 + 1/20*t**6. Solve q(l) = 0.
-2, 0, 1
Let a(z) be the first derivative of 1/15*z**6 + 11 + 6/25*z**5 + 0*z**2 + 8/5*z - 14/15*z**3 - 1/10*z**4. Determine x, given that a(x) = 0.
-2, -1, 1
Let y be (-46)/(-14) - 4/14. Determine t so that -2*t**2 - 9*t + y*t + 6*t**2 - 2*t**2 = 0.
0, 3
Let m(h) be the third derivative of -h**7/1260 - h**6/360 + h**5/30 - h**4/6 + 3*h**2. Let a(g) be the second derivative of m(g). Suppose a(w) = 0. Calculate w.
-2, 1
Let n = 1/898 - -1793/2694. Let -2/9*c**4 + 2/9*c + 0 - n*c**2 + 2/3*c**3 = 0. Calculate c.
0, 1
Let f(s) be the second derivative of -s**6/24 + 13*s**5/60 - s**4/6 - 2*s**3/3 - s**2/2 - s. Let q(y) be the first derivative of f(y). Factor q(l).
-(l - 2)*(l - 1)*(5*l + 2)
Factor -28*p**3 + 14*p + 30*p**3 + 13*p**2 - 3*p**2 + 6.
2*(p + 1)**2*(p + 3)
Factor 75/4*g + 3/8*g**4 - 3*g**3 + 0 + 15/8*g**2.
3*g*(g - 5)**2*(g + 2)/8
Let f(z) be the second derivative of z**6/30 + 7*z**5/40 - z**4/4 + z**3/3 - 4*z. Let s(a) be the second derivative of f(a). Factor s(n).
3*(n + 2)*(4*n - 1)
Let z be (20/(-25))/((-1)/(-10)). Let u be (-6)/24 - 34/z. Solve -2/9*o**u + 0 + 2/3*o**3 + 2/9*o - 2/3*o**2 = 0.
0, 1
Factor 3*t**2 + 2*t + t - t + 18*t**3 - 17*t**3.
t*(t + 1)*(t + 2)
Let o = 2 + 9. Let 8*q - 4*q - o*q**2 + q**2 = 0. What is q?
0, 2/5
Suppose 10 + 2 = 3*q. Factor 4 + 13*j**2 - 12*j**2 + 2*j - q*j + 6*j.
(j + 2)**2
Let l be 2 + -2 - -2 - -2. Let a(v) = -2*v - 6. Let z be a(-4). Determine u, given that 12*u + 2 + 0*u**l + 20*u**3 + 2*u**4 + 4*u**4 + 24*u**z = 0.
-1, -1/3
Solve -8*f + f**5 + 10*f**3 - 2*f**3 - 5*f**5 - 10*f**4 - 6 - 2 + 22*f**2 = 0.
-2, -1/2, 1
Let m(z) = 4*z - 70. Let s be m(18). Factor 0 + 0*y - 1/2*y**s.
-y**2/2
Let d(q) be the third derivative of 3*q**7/70 + 97*q**6/120 + 293*q**5/60 + 155*q**4/24 - 25*q**3/3 - 4*q**2 + 2. Factor d(r).
(r + 1)*(r + 5)**2*(9*r - 2)
Let k(m) = m**3 - m. Let s(q) = -3*q**3 + q**2 + 4*q. Let r be (-2)/(-6) - (-32)/(-24). Let a(g) = r*s(g) - 4*k(g). Determine n so that a(n) = 0.
-1, 0
Let b = -191 - -193. Factor -b*h**4 + 0*h + 2*h**3 + 0 + 2/3*h**5 - 2/3*h**2.
2*h**2*(h - 1)**3/3
Factor -25*x**2 - 16 - 7*x**3 + 3*x**3 + 18*x**2 + 19*x**2.
-4*(x - 2)**2*(x + 1)
Let q(t) = t**3 - 2*t**2 - t - 4. Let v(d) = -6*d**3 + 11*d**2 + 6*d + 23. Let a(g) = 34*q(g) + 6*v(g). Factor a(z).
-2*(z - 1)*(z + 1)**2
Let a(w) = w**2 - 5*w + 2. Let v be a(5). Let x = -4 - -4. Factor -1/2 + x*r**3 - 1/2*r**4 + 0*r + r**v.
-(r - 1)**2*(r + 1)**2/2
Let z be (-12)/(-55) - 4/(-22). Let g = 108 + -538/5. Factor 2/5*q**2 + 2/5