5/76. Factor 2/9*c + 0 - x*c**2.
-2*c*(2*c - 1)/9
Let i(g) = -g**2 + g. Let f(j) = -6*j**2 - 15*j - 27. Let t(d) = f(d) - 3*i(d). Solve t(v) = 0 for v.
-3
Let -v**2 + 12*v**5 + 5*v + 7*v**3 - 23*v**2 - v + 41*v**3 - 40*v**4 = 0. Calculate v.
0, 1/3, 1
Let o(x) = -x**5 - 3*x**4 - x**3 + 5. Let r(n) = n**4 - 1. Let w(t) = 3*o(t) + 15*r(t). Suppose w(u) = 0. Calculate u.
0, 1
Let g(j) be the first derivative of -1/8*j**4 + 0*j - 1/3*j**3 + 4 - 1/4*j**2. Solve g(l) = 0.
-1, 0
Let l be (-4)/51*(-7)/(-12). Let k = 3/17 - l. Factor -4/9*z**3 + 0 - 2/9*z**4 - k*z**2 + 0*z.
-2*z**2*(z + 1)**2/9
Let a(n) = -n**2 + 4*n + 3. Let z be a(4). Factor -2*x**2 + 2*x + 0*x + z*x**2 - 3*x - 2.
(x - 2)*(x + 1)
Let x = 3/26 + 193/130. Factor x*d + 8/5*d**2 + 2/5*d**3 + 0.
2*d*(d + 2)**2/5
Let l be (-6)/14*(-42)/36. Suppose -l - 1/2*p**2 - p = 0. What is p?
-1
Let r(g) be the third derivative of 0*g - 7*g**2 + 0 + 1/6*g**3 - 1/240*g**5 + 0*g**4. Factor r(s).
-(s - 2)*(s + 2)/4
Let y(t) = 3*t**2 - 26*t + 1. Let h(p) = -p**2 - 1. Let c(l) = -5*h(l) + y(l). Factor c(x).
2*(x - 3)*(4*x - 1)
Let w = -1823/12 - -152. Let g(c) be the third derivative of 0*c - 1/60*c**5 + 0*c**3 + w*c**4 - 2*c**2 + 0. Factor g(u).
-u*(u - 2)
Let a = 967/2 - 11599/24. Let l = 7/8 - a. Factor 0 - 2/3*f + 2/3*f**3 + l*f**4 - 2/3*f**2.
2*f*(f - 1)*(f + 1)**2/3
Let m(h) be the first derivative of 3*h**4/20 - 3*h**2/10 + 10. Let m(i) = 0. Calculate i.
-1, 0, 1
Let z = 43 + -213/5. Solve -6/5 - 8/5*p - z*p**2 = 0 for p.
-3, -1
Let o = 7 + -4. Let g(j) = 2*j**2 - 4*j - 1. Let h be g(o). Factor -2*n**2 - 3*n**2 + 2*n + 3*n**3 + 5*n**4 - h*n**3.
n*(n - 1)*(n + 1)*(5*n - 2)
Let o(i) = 19*i + 23 - 11*i**2 + 0*i**2 - 6. Let z(y) = -8 - 9*y + 0 - 2*y**2 + 7*y**2. Let c(m) = 6*o(m) + 13*z(m). Factor c(t).
-(t + 1)*(t + 2)
Let b be ((-4)/6)/(16/(-102)). Let n be (-55)/2*6/(-60). Factor 0 - 21/4*u**3 + n*u**2 + b*u**4 - 5/4*u**5 - 1/2*u.
-u*(u - 1)**3*(5*u - 2)/4
Let t(s) be the second derivative of -2*s - 1/27*s**3 - 1/90*s**5 - 1/27*s**4 + 0 + 0*s**2. Determine r so that t(r) = 0.
-1, 0
Suppose 9*m - 3 = 15. Solve 0 - 2/9*z - 2/9*z**m = 0 for z.
-1, 0
Let x(k) be the third derivative of 0 + 1/40*k**6 - k**3 + 4*k**2 + 0*k - 1/8*k**4 - 1/70*k**7 + 3/20*k**5. Let x(h) = 0. What is h?
-1, 1, 2
Let y(s) be the third derivative of 5*s**7/147 - s**6/21 + 2*s**5/105 - 2*s**2 - 18*s. Let y(p) = 0. Calculate p.
0, 2/5
Factor 16/3 + 2/3*i**3 + 8*i + 4*i**2.
2*(i + 2)**3/3
Let y(n) = -n**3 - 5*n**2 + 5*n - 3. Suppose 0 = -5*r + 3*r - 8. Let m(t) = t**3 + 4*t**2 - 4*t + 2. Let w(k) = r*m(k) - 3*y(k). Factor w(x).
-(x - 1)*(x + 1)**2
Let g(x) be the first derivative of -x**6/10 + 3*x**5/20 + x**4/4 - x**3/2 + 3*x + 1. Let j(a) be the first derivative of g(a). Let j(h) = 0. What is h?
-1, 0, 1
Let o(h) be the second derivative of -h**7/315 + 7*h**6/225 - 3*h**5/25 + 2*h**4/9 - 8*h**3/45 + 3*h. Factor o(x).
-2*x*(x - 2)**3*(x - 1)/15
Let y = 1/113 + 110/339. Factor 0 + 0*s**2 + y*s**3 + 0*s.
s**3/3
Let l be (2/12)/(8/(48/2)). What is z in -l*z**2 + 1/2 + 0*z = 0?
-1, 1
Let t = -53 - -57. Factor -2/5*y + 0*y**2 + 1/5*y**t + 2/5*y**3 - 1/5.
(y - 1)*(y + 1)**3/5
Let q(m) be the third derivative of -6*m**2 + 1/8*m**4 + m**3 + 0*m - 1/20*m**5 + 0. Find j, given that q(j) = 0.
-1, 2
Let w(h) = 2*h. Let d be 2/8 - 3/(-4). Let u be w(d). Factor 7*f**4 - 7*f**u + 5*f**5 + 0 - 2*f + 0 - 3*f**3.
f*(f - 1)*(f + 1)**2*(5*f + 2)
Let j(r) be the first derivative of r**6/9 - 2*r**5/45 + 22. Factor j(v).
2*v**4*(3*v - 1)/9
Let l(h) = 4*h**4 + 2*h**3 - 6*h**2 - h + 1. Let s(r) = r**4 - r**2 + r - 1. Let y(t) = 2*l(t) - 6*s(t). Factor y(b).
2*(b - 1)**2*(b + 2)**2
Determine d, given that 1/5*d**2 + 3/5*d + 0 = 0.
-3, 0
Let t(s) be the third derivative of -s**7/105 + s**6/12 - 7*s**5/30 + s**4/4 - 6*s**2. Factor t(d).
-2*d*(d - 3)*(d - 1)**2
Let q(j) be the second derivative of -j**4/12 - j**3/6 - 35*j. Determine s, given that q(s) = 0.
-1, 0
Let u(x) be the second derivative of 7*x**6/50 + 3*x**5/20 - 9*x**4/20 - x**3/2 + 3*x**2/5 - 7*x. Determine r so that u(r) = 0.
-1, 2/7, 1
Let q(b) be the second derivative of 3*b**5/160 + b**4/8 + 5*b**3/16 + 3*b**2/8 - 2*b. Factor q(x).
3*(x + 1)**2*(x + 2)/8
Let w(q) be the third derivative of -q**8/1848 - 16*q**7/1155 - 13*q**6/110 - 56*q**5/165 - 49*q**4/132 + 43*q**2. Suppose w(s) = 0. Calculate s.
-7, -1, 0
Let -39*d**2 + 8*d**3 - 7*d - 8*d + 36*d**2 + 10*d**3 = 0. Calculate d.
-5/6, 0, 1
What is t in 15*t**3 - 4*t**3 - 6*t**2 - 3*t**3 - 2*t**4 = 0?
0, 1, 3
Find v such that 4/3*v - 2/3*v**2 - 2/3 = 0.
1
Factor 3 + 3/2*w**2 - 9/2*w.
3*(w - 2)*(w - 1)/2
Suppose -3*p + 9 = -0*p. Factor -g**p + 0*g**3 + 4*g**4 - 5*g**4 + 2*g**4.
g**3*(g - 1)
Let p(z) be the second derivative of 0 - 1/12*z**3 + 3*z + 1/96*z**4 - 3/2*z**2 + 1/240*z**5. Let y(i) be the first derivative of p(i). Factor y(u).
(u - 1)*(u + 2)/4
Let w(i) be the first derivative of -i**4/8 - 2*i**3 - 9*i**2 - 41. Factor w(u).
-u*(u + 6)**2/2
Let r(i) be the third derivative of 0*i**5 + 0*i + 1/228*i**4 + 0 - 11*i**2 + 0*i**3 - 1/1140*i**6. Factor r(u).
-2*u*(u - 1)*(u + 1)/19
Let o be (-15)/60 + -3 + (-15)/(-4). Let -5/2*t**2 - 3/2*t**3 + o - 1/2*t = 0. Calculate t.
-1, 1/3
Let d(k) = 3*k - 25. Let g be d(9). Factor -8/5*x - 2/5*x**g - 8/5.
-2*(x + 2)**2/5
Factor 35/3*b + 13/3*b**2 + 1/3*b**3 - 49/3.
(b - 1)*(b + 7)**2/3
Let b(v) = -12*v**4 + 23*v**3 - 4*v**2 - 7*v + 3. Let g(l) = 132*l**4 - 252*l**3 + 44*l**2 + 76*l - 32. Let m(a) = 32*b(a) + 3*g(a). Solve m(q) = 0.
-1/3, 0, 1
Let -1 + 135*z**4 - 66*z**2 + 4 + 0 + 72*z**3 = 0. What is z?
-1, -1/5, 1/3
Let q(y) be the third derivative of -y**10/15120 + y**8/1680 - y**6/360 + y**4/4 - 6*y**2. Let b(m) be the second derivative of q(m). Factor b(c).
-2*c*(c - 1)**2*(c + 1)**2
Let r(w) be the first derivative of 5*w**4/8 - 5*w**3 + 55*w**2/4 - 15*w - 42. Factor r(m).
5*(m - 3)*(m - 2)*(m - 1)/2
Suppose 0 = 3*d + 2*d. Suppose -y = -d - 2. Factor -3*p - y*p**2 + 6*p**2 + 5*p + 2*p**3.
2*p*(p + 1)**2
Let r(v) = 3*v**3 + 26*v**2 + 46*v + 2. Let w(d) = -d**2 + d - 1. Let g(t) = -r(t) - 2*w(t). Factor g(i).
-3*i*(i + 4)**2
Solve -1/2*h**4 + 0 - 2*h**2 + 0*h + 2*h**3 = 0 for h.
0, 2
Let x(m) be the third derivative of m**8/672 - m**7/105 + m**6/40 - m**5/30 + m**4/48 - m**2. Solve x(p) = 0.
0, 1
Let d(q) be the first derivative of -q**6/40 + 3*q**4/8 - q**3 + 3*q**2/2 + 5. Let k(i) be the second derivative of d(i). Factor k(m).
-3*(m - 1)**2*(m + 2)
Factor 0 + 0*b**2 - 2/9*b**3 + 2/9*b.
-2*b*(b - 1)*(b + 1)/9
Let q(a) = a**3 + a**2 - 2*a + 4. Let x(j) = -j**3 - 2*j**2 + 3*j - 5. Let s(t) = -5*q(t) - 4*x(t). Factor s(y).
-y*(y - 2)*(y - 1)
Let h(i) be the third derivative of i**8/1344 - i**6/480 - i**2. Determine p so that h(p) = 0.
-1, 0, 1
Factor 2/3*p**2 + 0 + 2/3*p**3 - 4/3*p.
2*p*(p - 1)*(p + 2)/3
Let k(a) be the second derivative of 0 - a - 1/2*a**3 + 1/4*a**4 - 3*a**2. Find y, given that k(y) = 0.
-1, 2
Let z(w) be the first derivative of -w**4/6 - 4*w**3/9 - 30. Solve z(j) = 0.
-2, 0
Let w(a) be the third derivative of 0*a + 0*a**3 - 1/30*a**5 + 1/105*a**6 + 0 - 3*a**2 - 1/42*a**4. Find x such that w(x) = 0.
-1/4, 0, 2
Let o(p) be the first derivative of p**4/4 + 7*p**3/3 + 3*p**2 + 3*p - 1. Let n be o(-6). Factor -2*z + 0*z - z**3 + 5*z**n - 2*z**5.
-2*z*(z - 1)**2*(z + 1)**2
Let m be (12/15)/(4/10). Suppose -m*l = l - 6. What is j in -6/5*j + 2/5 + 4/5*j**l = 0?
1/2, 1
Let i(n) be the first derivative of -n**6/900 + n**5/150 - n**4/90 + n**2/2 - 5. Let u(d) be the second derivative of i(d). Let u(b) = 0. What is b?
0, 1, 2
Let l(t) = 2*t**2 + 2*t - 1. Let f be l(-2). What is o in -9*o**5 + 3*o**2 + 3*o**3 + 6*o**3 - 24*o**f + 21*o**4 = 0?
0, 1/3, 1
Let l be 2548/576 + -2 - 2. Let t = l + 1/48. Suppose -2/9 + t*w - 2/9*w**2 = 0. What is w?
1
Let v(g) be the third derivative of -g**8/2184 + g**7/273 + g**6/780 - g**5/78 - 2*g**2 + 6*g. Solve v(w) = 0.
-1, 0, 1, 5
Let c(a) = -2*a**4 + 11*a**3 - 53*a**2 + 69*a - 37. Let f(z) = z**4 - 6*z**3 + 26*z**2 - 34*z + 18. Let q(v) = -4*c(v) - 10*f(v). Suppose q(b) = 0. What is b?
2
Let g be 2/15 + (-28)/(-15). Let h(y) be the third derivative of 0*y**3 - 1/135*y**5 + 0 + 0*y**4 - 1/540*y**6 + 0*y + g*y**2. Factor h(s).
-2*s**2*(s + 2)/9
Let z(y) be 