- 2/3*o**3 - 2*o**2 + 3. Solve z(r) = 0 for r.
-1
Suppose 5*u - 5 = 25. Let j(w) be the second derivative of -1/30*w**u + 1/12*w**4 + 0 - 1/20*w**5 - 3*w + 1/6*w**3 + 0*w**2. Solve j(l) = 0.
-1, 0, 1
Factor 4/11*k**3 + 0*k + 0 + 2/11*k**2.
2*k**2*(2*k + 1)/11
Let t = 20 - 15. Factor 6*x**3 - x + t - 5 + 3*x**5 + 8*x**4 - 16*x**4.
x*(x - 1)**3*(3*x + 1)
Let n(b) be the third derivative of b**6/24 - 5*b**5/4 + 105*b**4/8 - 245*b**3/6 - 43*b**2. Factor n(j).
5*(j - 7)**2*(j - 1)
Suppose 1/4*v**4 - 1/4*v**3 - 3/4*v**2 + 1/4*v + 1/2 = 0. What is v?
-1, 1, 2
Let h(q) = -q**3 + q**2 - q - 1. Let g = 7 + -8. Let m be h(g). Factor 0 - 2/5*d - 2/5*d**3 + 4/5*d**m.
-2*d*(d - 1)**2/5
Factor -48*r**2 - 3*r - 44*r**4 - 2 + 12*r**4 - 64*r**3 - 13*r.
-2*(2*r + 1)**4
Factor 3/5*a**3 + 0 + 0*a**2 + 1/5*a**5 + 0*a + 4/5*a**4.
a**3*(a + 1)*(a + 3)/5
Let c(z) be the third derivative of z**5/360 - 7*z**4/72 + 49*z**3/36 - 18*z**2. Factor c(r).
(r - 7)**2/6
Factor -2*g**3 - 2/3*g + 2/3*g**4 + 2*g**2 + 0.
2*g*(g - 1)**3/3
Let o be 4/3*18/4. Let z(h) be the second derivative of -1/189*h**7 - 3*h + 1/45*h**5 + 1/27*h**4 - 1/9*h**2 - 1/27*h**3 - 1/135*h**o + 0. Factor z(i).
-2*(i - 1)**2*(i + 1)**3/9
Factor 0 + 1/6*w**4 + 2/3*w**3 - 1/2*w**2 - 3*w.
w*(w - 2)*(w + 3)**2/6
Suppose -v = 4*y - 10 - 8, -2*v - 5*y = -24. Let q be (9/(-3))/((-54)/8). Let -q*w**3 + 2/9 + 10/9*w**v - 8/9*w = 0. What is w?
1/2, 1
Let q(v) be the third derivative of -v**5/100 - v**4/20 + 3*v**3/10 - 12*v**2. Determine h so that q(h) = 0.
-3, 1
Let d(l) = -4*l**2 + l**3 + 4*l**2 + l - 8 - 8*l**2. Let h be d(8). Factor -2/3*s**4 + h - 2/3*s**2 + 0*s + 4/3*s**3.
-2*s**2*(s - 1)**2/3
Let q = -92 - -95. Let w(n) be the third derivative of 0*n**4 - 1/6*n**q + 0*n + 1/60*n**5 + n**2 + 0. Suppose w(h) = 0. What is h?
-1, 1
Let t(o) = -o**3 + 13*o**2 - 22*o + 4. Let g be t(11). Factor 4/9*l**3 + 2/9*l**g + 0*l**2 - 2/9 - 4/9*l.
2*(l - 1)*(l + 1)**3/9
Let j(s) = s**4 + s**3 - 1. Let x(q) = -15*q**3 + 15*q**2 - 6*q + 3. Let k(l) = 3*j(l) + x(l). Factor k(p).
3*p*(p - 2)*(p - 1)**2
Suppose 2*h + 2*z + 8 = 0, z - 2*z = 5*h + 28. Let n be 0 - (-2)/h - -1. Factor 8/3*x**4 - 4/3*x**2 + 0 + 2*x**3 - 8/3*x**5 - n*x.
-2*x*(x - 1)**2*(2*x + 1)**2/3
Let o(y) be the third derivative of y**6/360 + y**5/60 + y**4/36 + y**2. Factor o(b).
b*(b + 1)*(b + 2)/3
Let w(a) = -2*a**2 + 12*a - 1. Let o(j) = -j. Let u(k) = -36*o(k) - 4*w(k). Suppose u(p) = 0. What is p?
1/2, 1
Suppose 3*s - 11 - 3 = 4*w, 5*w = -s - 8. Let -6/7*n - 2/7*n**s - 4/7 = 0. Calculate n.
-2, -1
Let o(r) be the third derivative of -1/780*r**6 + 0*r**3 - 1/65*r**5 + 5*r**2 - 3/52*r**4 + 0*r + 0. Factor o(w).
-2*w*(w + 3)**2/13
Let 6*l**2 + 6*l + 4/3 - 2/3*l**3 - 2*l**4 = 0. Calculate l.
-1, -1/3, 2
Solve -58*c - 15 + 17 - 3*c**3 + 25 + 13*c + 21*c**2 = 0.
1, 3
Let t(s) be the third derivative of -1/336*s**8 + 0*s + 0*s**4 + 0*s**7 - s**2 + 0*s**5 + 0 + 0*s**3 + 1/120*s**6. Factor t(d).
-d**3*(d - 1)*(d + 1)
Let n(t) be the third derivative of -t**8/168 - 2*t**7/21 - 2*t**6/3 - 8*t**5/3 - 20*t**4/3 - 32*t**3/3 + 3*t**2. Suppose n(u) = 0. What is u?
-2
Let y(i) be the third derivative of -i**7/1260 + i**6/180 - i**4/4 + 2*i**2. Let d(a) be the second derivative of y(a). Solve d(l) = 0 for l.
0, 2
Let y(k) be the first derivative of -7*k**3 + k**2/2 + 2*k + 7. Factor y(b).
-(3*b - 1)*(7*b + 2)
Let b = -3 + -2. Let s be (2 + b)/((-3)/2). Suppose -1/2*j + 1/4 + 1/4*j**s = 0. Calculate j.
1
Suppose -5*z + 12 = -4*q, 0 = 3*z + 5*q + 14 + 1. Let p(c) be the first derivative of 1/3*c**3 + z*c - 1 + c**2. What is l in p(l) = 0?
-2, 0
Let j = 19 + -15. Let g(k) be the first derivative of 1/2*k**2 - 1/4*k**j - 1/3*k**3 + 1/5*k**5 + 0*k - 2. Let g(n) = 0. Calculate n.
-1, 0, 1
Let s(k) = -27*k**2 - 9*k + 3. Let z(b) = 27*b**2 + 8*b - 2. Let m(i) = 2*s(i) + 3*z(i). Suppose m(n) = 0. Calculate n.
-2/9, 0
Suppose -2*i - i = -i. Let b(h) be the first derivative of 3/4*h**2 - 1/4*h**3 - 3/16*h**4 - 3 + i*h. Let b(f) = 0. What is f?
-2, 0, 1
Let m = 1 + -5. Let b be (m - -1) + 2 + 1. Let b*d**2 + 1/2*d**4 + 1/4*d**3 + 0 + 0*d + 1/4*d**5 = 0. What is d?
-1, 0
Let m = -3/142 - -361/284. Factor -m*g**3 - 1/2 - 13/4*g**2 + 3/4*g**4 + 1/2*g**5 - 9/4*g.
(g - 2)*(g + 1)**3*(2*g + 1)/4
Let f(w) be the second derivative of 27*w**5/20 - 89*w**4/16 + 9*w**3/2 - 3*w**2/2 + w. Let f(q) = 0. Calculate q.
2/9, 1/4, 2
Let k be (-198)/54 + (2 - -3). Find o, given that -2/3*o**4 + 0 + 2/3*o**2 - 4/3*o**3 + k*o = 0.
-2, -1, 0, 1
Let -6/7*i**4 + 3/7*i + 0 - 3/7*i**5 + 0*i**3 + 6/7*i**2 = 0. Calculate i.
-1, 0, 1
Determine p so that 2/3*p**2 + 2/3 + 4/3*p = 0.
-1
Let v(n) be the third derivative of -n**7/280 - n**6/32 - n**5/10 - n**4/8 - 9*n**2. Factor v(c).
-3*c*(c + 1)*(c + 2)**2/4
Suppose 5*p - 3*w - 4 = 0, -2 = 5*w - 12. Factor -1 - 3*d - 2*d**2 - 5*d**2 + 8*d**p + 3*d**2.
(d - 1)*(4*d + 1)
Let h(l) = -2*l - 4. Let s be h(-2). Let f(c) be the third derivative of -1/360*c**6 + 0*c + s*c**3 + 0*c**5 - c**2 + 1/72*c**4 + 0. Factor f(x).
-x*(x - 1)*(x + 1)/3
Let q = -461 - -2307/5. Factor 4/15*v + q*v**2 + 2/15*v**3 + 0.
2*v*(v + 1)*(v + 2)/15
Let j(b) be the second derivative of -b**6/225 - b**5/30 - b**4/15 + 8*b. Factor j(f).
-2*f**2*(f + 2)*(f + 3)/15
Let i(r) be the third derivative of 0*r**3 + 0*r**5 + 1/84*r**4 - 1/420*r**6 + 0 - 3*r**2 + 0*r. Let i(f) = 0. What is f?
-1, 0, 1
Let w(v) = -v**3 + 5*v**2 - 4*v + 2. Let h be w(4). Determine m so that 4*m**2 - 2*m**2 - 6*m**h + 4 = 0.
-1, 1
Let h(y) be the third derivative of -y**6/180 - y**5/10 - 3*y**4/4 + 2*y**3/3 + y**2. Let g(o) be the first derivative of h(o). Factor g(x).
-2*(x + 3)**2
Suppose 10/7*d**3 - 4/7*d**2 + 0 + 0*d - 30/7*d**5 + 8*d**4 = 0. What is d?
-1/3, 0, 1/5, 2
Let i(m) be the first derivative of -m**7/70 + m**6/40 + 2*m**2 - 1. Let x(g) be the second derivative of i(g). Factor x(v).
-3*v**3*(v - 1)
Let q(o) be the third derivative of 23/60*o**6 - 1/2*o**5 + 3/112*o**8 + 0*o - 11/70*o**7 - 1/6*o**3 - 3*o**2 + 0 + 3/8*o**4. Factor q(w).
(w - 1)**3*(3*w - 1)**2
Let o be ((-5)/2)/((-6)/(-12)). Let b(c) = 49*c**3 - 131*c**2 + 60*c - 13. Let t(m) = -m**2 - 1. Let p(z) = o*t(z) + b(z). Factor p(r).
(r - 2)*(7*r - 2)**2
Suppose 0 = 11*k - 0*k - 33. Suppose -2*a - a + 15 = -f, -4*f - 4*a = -20. Factor -p**2 + f + 1/2*p**k + 1/2*p.
p*(p - 1)**2/2
Let h = 11 - 17. Let f(x) = x + 8. Let u be f(h). Solve 2/5*i**u - 4/5*i + 0 = 0.
0, 2
Let v = 2 + 1. Suppose 2*d + 10 = 3*m + 4, 3*m - v*d - 6 = 0. Let m*o**2 - o**3 + o - 1 + 0*o - o**2 = 0. What is o?
-1, 1
Find k such that 0*k + 2/3*k**4 - 2/3*k**2 + 0 + 0*k**3 = 0.
-1, 0, 1
Suppose 0 = -10*s - 4*s + 4*s. What is r in 0*r + 0 + s*r**4 - 6/7*r**3 - 4/7*r**2 + 2/7*r**5 = 0?
-1, 0, 2
Let z(y) = 3*y + 24. Let p be z(-8). Factor 0*v**3 + 0*v + p - 2/13*v**2 + 2/13*v**4.
2*v**2*(v - 1)*(v + 1)/13
Let r(p) be the third derivative of -p**8/672 + p**7/420 + p**6/80 - p**5/24 + p**4/24 + 16*p**2. What is n in r(n) = 0?
-2, 0, 1
Let l be 3/(-2*6/(-8)). Determine x, given that l*x**2 + x - 2*x**3 + x + 1 - 3 = 0.
-1, 1
Let o(a) be the third derivative of -a**5/570 + 11*a**4/228 - 10*a**3/57 + 22*a**2 + 2. Factor o(l).
-2*(l - 10)*(l - 1)/19
Let h(w) be the second derivative of -w**5/20 + w**4/12 + w**3/6 - w**2/2 + 4*w. Suppose h(d) = 0. Calculate d.
-1, 1
Determine p, given that 77/8*p**2 - 121/8*p**3 + 5*p + 1/2 = 0.
-2/11, 1
Let c(h) = 5*h**4 + 5*h**3 + 7*h**2 - 5*h. Let l(t) = -4*t**4 - 4*t**3 - 6*t**2 + 4*t. Let p(f) = 5*c(f) + 6*l(f). Factor p(b).
b*(b - 1)*(b + 1)**2
Let t = -117 + 4093/35. Let f = t - -12/35. Suppose -32/7*u**2 - f - 16/7*u = 0. Calculate u.
-1/4
Suppose o - 1/2*o**4 + 0 + 3/2*o**2 + 0*o**3 = 0. What is o?
-1, 0, 2
Let h = 0 + 2. Let a = 4 - h. Solve 1/4*n**3 + 0*n - 1/4*n**a + 0 = 0 for n.
0, 1
Let a(q) be the second derivative of 2*q + 0 + 0*q**3 + 0*q**2 + 1/18*q**4. Determine s, given that a(s) = 0.
0
Let y(w) = -w**4 - w**3 - 5*w**2 - w + 4. Let k(b) = -2*b**4 - 2*b**3 - 6*b**2 - b + 5. Let u(a) = -2*k(a) + 3*y(a). Solve u(l) = 0.
-2, -1, 1
Suppose 4 = 5*n - 4*n. Let c(i) be the second derivative of 0 - 1/4*i**3 + 2*i - 1/8*i**n - 1/40*i**5 - 1/4*i**2. What is r in c(r) = 0?
-1
Determine f, given that f**3 - f**3 - 2*f**5 + 2*f**3 + 0*f**3 = 0.
-1, 0, 1
Suppose 