/7 - 21. Find j, given that y(j) = 0.
0, 1, 3
Factor -8/13*w**3 + 2/13*w**2 - 10/13*w**4 + 0*w + 0.
-2*w**2*(w + 1)*(5*w - 1)/13
Let p(g) be the second derivative of 2*g**6/105 - g**5/35 - g**4/21 + 2*g**3/21 - 11*g. Factor p(t).
4*t*(t - 1)**2*(t + 1)/7
Let a(g) be the third derivative of -1/60*g**5 + 1/210*g**7 + 0*g**3 + 0 + 1/336*g**8 - 1/120*g**6 + 0*g**4 - g**2 + 0*g. Find x such that a(x) = 0.
-1, 0, 1
Let o(n) = -4*n**5 + 7*n**4 - 3*n**3 - 5*n**2 + 2*n. Let h(j) = -4*j**5 + 8*j**4 - 4*j**3 - 4*j**2 + 2*j. Let m(l) = -3*h(l) + 2*o(l). Factor m(s).
2*s*(s - 1)**3*(2*s + 1)
Let k(q) be the first derivative of q**4/4 + q**3/3 - 3. Factor k(f).
f**2*(f + 1)
Let y(d) = 5*d**3 - 2*d**2 + 2*d - 1. Let o be y(1). Solve 26*x**o + 61*x**4 - 27*x**2 - 8*x + 2*x - 63*x**5 + 9*x**3 + 0*x = 0.
-1/3, -2/7, 0, 1
Let s = 146 - 144. Suppose 8/9*l**s + 2/9 + 10/9*l = 0. What is l?
-1, -1/4
Let j(p) = p**4 + p**3 + p**2 - p. Let q(o) = 10*o**4 + 12*o**3 - 6*o**2 - 8*o. Let w(n) = -4*j(n) + q(n). Factor w(v).
2*v*(v - 1)*(v + 2)*(3*v + 1)
Let k = 89 - 444/5. Let u be 1 + (-4)/2 - -1. Factor -2/5*n**3 + k*n**2 + u + 0*n + 1/5*n**4.
n**2*(n - 1)**2/5
Suppose -15 = -7*b + 2*b. Factor -3*r**4 + 0*r**3 + 2*r**3 + 4*r**4 - b*r**2 + 4*r**2.
r**2*(r + 1)**2
Let u(t) = t + 4. Let v be u(0). Let h(j) be the second derivative of 1/6*j**2 + 0 + 1/36*j**v + j - 1/9*j**3. Determine g, given that h(g) = 0.
1
Suppose t**4 - 13*t - 6*t**3 - 19*t - 5 + 48*t - 10*t + 4*t**2 = 0. What is t?
-1, 1, 5
Let o(m) be the third derivative of 1/24*m**4 - 1/30*m**5 + 0*m + 0*m**3 - 2*m**2 + 0 + 1/120*m**6. Solve o(h) = 0.
0, 1
Let c be (-9)/(-6) + (-66)/4. Let s be ((-10)/c)/(1*2). Let -1/3*p**2 + 1/3*p**4 + 0 - 1/3*p + s*p**3 = 0. Calculate p.
-1, 0, 1
Let g(h) be the third derivative of -h**9/37800 - h**8/8400 + h**6/900 + h**5/300 + h**4/12 - h**2. Let j(k) be the second derivative of g(k). Factor j(v).
-2*(v - 1)*(v + 1)**3/5
Find o such that -6*o**2 - 296*o**3 + 298*o**3 + 4*o**4 - 2*o + 2*o**4 = 0.
-1, -1/3, 0, 1
Factor -22*c**2 + 3*c**3 + 6*c**3 + 4*c + 9*c**3.
2*c*(c - 1)*(9*c - 2)
Let g be (-6)/(-21) + 12/7. Determine i, given that 2*i**4 + 8*i**2 + i**4 - 4*i**2 + g*i**2 + 9*i**3 = 0.
-2, -1, 0
Let p(y) = -22*y - 2. Let u be p(1). Let z = 26 + u. Let -1/3 + x**4 - 2/3*x**z - 1/3*x**5 - 2/3*x**3 + x = 0. What is x?
-1, 1
Let g = -111 + 113. Let y(f) be the first derivative of 1/9*f**4 + 0*f**3 + 2/45*f**5 - g - 2/9*f - 2/9*f**2. Determine i, given that y(i) = 0.
-1, 1
Let r(q) be the second derivative of q**6/135 - q**5/30 + q**4/27 - 30*q. Factor r(f).
2*f**2*(f - 2)*(f - 1)/9
Suppose -4*f - 2*n - 4 = 12, -3*f - 4*n - 2 = 0. Let w(s) = 6 - 4*s**2 + 0 - 3. Let r(q) = -9*q**2 + 7. Let d(l) = f*r(l) + 14*w(l). Factor d(c).
-2*c**2
Let g(y) = -8*y**2 + 4*y - 5. Suppose -5*f - 5*i - 5 = 0, -3*i - 12 = i. Let h = -1 + f. Let q(m) = -m**2 - 1. Let w(p) = h*g(p) - 4*q(p). Factor w(c).
-(2*c - 1)**2
Factor 3*n + 3*n + 3*n**2 + 6 + 3*n.
3*(n + 1)*(n + 2)
Let c(y) = -y**2 - 6*y + 16. Let i be c(-7). Let b be ((-18)/21)/(i/(-42)). Factor 0 + 0*w - 2*w**2 + 7/4*w**5 + 13/2*w**b + 5*w**3.
w**2*(w + 2)**2*(7*w - 2)/4
Let r = -37 - -78. Let -r - 4*x**2 + 0*x + 5 - 2*x - 22*x = 0. Calculate x.
-3
Factor 0*y**2 + 0 + 0*y + 2/3*y**3.
2*y**3/3
Factor -s + 8 - 7 - 2*s**2 + 13 + 13*s.
-2*(s - 7)*(s + 1)
Let p(v) = -v**5 + v**4 - v**3 - v**2. Let g(i) = 2*i**5 - 14*i**4 + 5*i**3 + 11*i**2 + i - 1. Let w(z) = g(z) + 6*p(z). Factor w(s).
-(s + 1)**3*(2*s - 1)**2
Let c be ((-94)/3)/((-4)/(-6)). Let h be -3*(c/3 - 1). Factor 5 - h*f**4 + 8*f - 3 + 90*f**3 - 48*f**2 - 2.
-2*f*(f - 1)*(5*f - 2)**2
Suppose 0 = 7*j - 11*j. Let s(a) be the third derivative of 0 - 1/21*a**3 - 1/28*a**4 - 1/420*a**6 - 1/70*a**5 + j*a + 3*a**2. Factor s(u).
-2*(u + 1)**3/7
Let y = -2/21 - 55/84. Let n = -1/2 - y. Factor -1/4*a**2 + 0*a + n.
-(a - 1)*(a + 1)/4
Suppose 0 = j + 2 - 7. Suppose j*y + 4*c - 10 = 0, 0 = -3*y + 3*c + c + 6. Factor -2*b**4 + 0*b**2 - 3*b**2 + 3*b**2 - 1 - b + b**3 + 3*b**y.
-(b - 1)**2*(b + 1)*(2*b + 1)
Let u(r) = r**3 - 4*r**2 - 3*r + 2. Suppose -3*j + 5 = -1. Let b(w) = -w**3 + w**2 + w - 1. Let y(d) = j*b(d) + u(d). Suppose y(m) = 0. Calculate m.
-1, 0
Let f(y) be the second derivative of y**7/168 + y**6/60 - y**5/80 - y**4/24 - 6*y. Factor f(z).
z**2*(z - 1)*(z + 1)*(z + 2)/4
Suppose 2*h - 16 = -2*h. Suppose -4*c = 4*t, h*c + 5*t + 2 + 0 = 0. Factor 4*i**3 - 3*i**3 - 7*i**2 + 8*i**c.
i**2*(i + 1)
Let q(c) be the first derivative of -c**3/4 + c**2/2 - c/4 + 4. Factor q(h).
-(h - 1)*(3*h - 1)/4
Let j be ((-11)/33)/(1/(-6)). Let x(p) be the second derivative of 3*p + 0 + 0*p**j - 1/4*p**4 + 1/2*p**3. Factor x(u).
-3*u*(u - 1)
Let g(y) be the first derivative of -5 + 5/8*y**2 - 1/2*y - 1/3*y**3 + 1/16*y**4. Solve g(r) = 0.
1, 2
Let b(o) = 2*o - 3. Let r be b(5). Factor -r + k**3 + 7.
k**3
Find h, given that h**4 - 16*h**4 - 3*h + 5*h**3 + 40*h**2 + 23*h = 0.
-1, -2/3, 0, 2
Let o(z) be the first derivative of 0*z**2 + 1/3*z**4 + 2 + 2/9*z**3 + 2/15*z**5 + 0*z. Determine r, given that o(r) = 0.
-1, 0
Suppose -8*p + 2/3*p**4 + 8/3 - 4*p**3 + 26/3*p**2 = 0. What is p?
1, 2
What is s in -15*s**3 + 22*s**3 + 0*s**2 + 3*s**2 - s**2 = 0?
-2/7, 0
Let o(d) = 3*d**3 + 2*d**2 + 2. Let l(r) = r**3 + 1. Let u(j) = -10*l(j) + 5*o(j). Find k such that u(k) = 0.
-2, 0
Determine t, given that -2/5 + 0*t**2 - 1/5*t**3 + 3/5*t = 0.
-2, 1
Suppose 5*f + 4 = 29. Let n(r) = -r**2 + 6*r - 5. Let k be n(f). Suppose 2/5 + k*w**2 - 2/5*w**4 - 4/5*w**3 + 4/5*w = 0. What is w?
-1, 1
Let n(z) be the first derivative of z**7/42 + z**6/10 + z**5/10 - 6*z - 5. Let k(d) be the first derivative of n(d). Find i such that k(i) = 0.
-2, -1, 0
Let -20*y**4 + 4*y**4 + 60*y**3 - 6*y + 8 + 18*y - 64*y**2 = 0. What is y?
-1/4, 1, 2
Let x(k) be the first derivative of -k**5/50 + k**4/20 + 3. Determine a so that x(a) = 0.
0, 2
Let r(i) be the second derivative of 0 + 1/12*i**4 + 0*i**2 - 3*i - 1/20*i**5 + 0*i**3. Factor r(j).
-j**2*(j - 1)
Let v(g) be the second derivative of g**7/21 - 4*g**6/15 + g**5/2 - g**4/3 + 15*g. Factor v(n).
2*n**2*(n - 2)*(n - 1)**2
Let q(y) = 6*y - 2. Let i be q(1). Find p, given that -2/5*p**i - 6*p**2 + 18/5*p + 0 + 14/5*p**3 = 0.
0, 1, 3
Let s(h) be the second derivative of -3/5*h**3 + 4*h + 0 - 1/5*h**4 - 1/50*h**5 + 0*h**2. Factor s(d).
-2*d*(d + 3)**2/5
Let n be (2/12)/(10/40). Let m(z) be the third derivative of 0 - n*z**3 - 1/60*z**5 + z**2 - 1/6*z**4 + 0*z. Factor m(g).
-(g + 2)**2
Let l(v) be the first derivative of -v**3/15 - v**2/5 - v/5 + 3. Solve l(u) = 0.
-1
Let p(v) = v**3 - 5*v**2 + 3. Let k be 0 - 0 - 10/(-2). Let j be p(k). What is m in -4*m**2 + 0*m**2 + 2*m**j + m**2 + m**2 - 2*m + 2*m**4 = 0?
-1, 0, 1
Let l(n) be the first derivative of n**3/3 - 7*n**2/2 + 3*n - 2. Let k be l(7). Factor 4*o**4 - 2*o**2 + 4*o**2 - 2*o**k - 6*o**5 - 14*o**4.
-2*o**2*(o + 1)**2*(3*o - 1)
Suppose -s = p - 8, -5*s = 2*p - 4*s - 11. Let i(j) be the first derivative of 0*j + 2 - 1/6*j**4 + 1/3*j**2 + 4/9*j**p - 4/15*j**5. Let i(n) = 0. What is n?
-1, -1/2, 0, 1
Let w(l) = -5*l**3 + 2*l**2 + 3. Let y = -9 - -6. Let n(z) = 6*z**3 - 2*z**2 - 4. Suppose 0 = -t - 2 - 2. Let p(i) = t*w(i) + y*n(i). Solve p(b) = 0 for b.
0, 1
Let q(p) be the third derivative of p**8/168 + 11*p**7/210 + p**6/6 + 11*p**5/60 - p**4/6 - 2*p**3/3 - 10*p**2. Let q(a) = 0. What is a?
-2, -1, 1/2
Factor 7/2*s**4 + 0 + 0*s - 9/2*s**5 + s**3 + 0*s**2.
-s**3*(s - 1)*(9*s + 2)/2
Let r = -241 - -244. Factor 2/3*u**2 - 1/3*u + 2/3*u**r - 1/3*u**4 - 1/3*u**5 - 1/3.
-(u - 1)**2*(u + 1)**3/3
Let g = -1 - -8. Let q = -2 + g. Solve -2*a - 2*a**q + 6*a**3 + 4*a**2 - 2*a**2 - 2*a**4 + a - 3*a = 0 for a.
-2, -1, 0, 1
Let i = 81 + -79. Determine f, given that 2 + 1/2*f**i - 2*f = 0.
2
Let -18/11 + 51/11*x + 40/11*x**2 + 7/11*x**3 = 0. What is x?
-3, 2/7
Let q(d) be the third derivative of d**5/16 - 7*d**4/24 - d**3/6 + 2*d**2 + 57. Factor q(f).
(f - 2)*(15*f + 2)/4
Factor -2/5*s**5 - 4/5*s**4 + 0*s**3 + 0 + 4/5*s**2 + 2/5*s.
-2*s*(s - 1)*(s + 1)**3/5
Let g(t) be the third derivative of -t**6/180 + t**4/36 + 3*t**2. What is j in g(j) = 0?
-1, 0, 1
Let m(i) = i**3 + 7*i**2 - i - 5. Let u be m(-7). Suppose -3*h - 4*k = -8, 2 + 8 = 5*k. Factor 0 + 2*l**3 + h*l + 4/5*