*b - 2*y - 12 = 0. Factor -2/3*z**5 + 0*z**2 + 0*z + 4/3*z**b - 2/3*z**3 + 0.
-2*z**3*(z - 1)**2/3
Find a, given that 0 - 3/2*a**2 + 9/2*a = 0.
0, 3
Factor 75*l + 4*l**2 - 80*l + 6*l**2 - 5.
5*(l - 1)*(2*l + 1)
Let i be 38/(2 + 33/(-21)). Let g = -88 + i. Determine k so that -2/3*k**2 - 2/3*k + 2/3 + g*k**3 = 0.
-1, 1
Let f(w) be the second derivative of w**6/120 + 7*w**5/80 + 5*w**4/16 + 3*w**3/8 + 42*w. Suppose f(m) = 0. What is m?
-3, -1, 0
Let m(c) be the first derivative of -c**7/840 + c**6/120 - c**5/40 + c**4/24 - 2*c**3/3 + 5. Let g(o) be the third derivative of m(o). Factor g(p).
-(p - 1)**3
Let r(g) be the second derivative of -g**6/30 + g**5/20 + g**4/4 - g**3/6 - g**2 + 17*g. Factor r(b).
-(b - 2)*(b - 1)*(b + 1)**2
Let i(a) be the first derivative of 3*a**5/16 - a**4/2 + a**3/8 + 3*a**2/4 - 4*a - 1. Let s(b) be the first derivative of i(b). Factor s(y).
3*(y - 1)**2*(5*y + 2)/4
Let g(z) be the second derivative of -z**4/18 + z**3/3 - 2*z**2/3 - 4*z. Factor g(o).
-2*(o - 2)*(o - 1)/3
Let r = -6 + 2. Let o be r - -7 - (-3)/2. Suppose 0*l + 0 + l**2 + o*l**3 = 0. Calculate l.
-2/9, 0
Let x(z) be the second derivative of 0 - 1/24*z**4 + 1/2*z**2 - z + 1/60*z**5 + 0*z**3. Let q(o) be the first derivative of x(o). Factor q(g).
g*(g - 1)
Let r = 8 - -11. Let b = 23 - r. Find u such that -2/3 - 10/3*u - 20/3*u**2 - 10/3*u**b - 2/3*u**5 - 20/3*u**3 = 0.
-1
Let g(t) be the first derivative of -t**6/1440 - t**5/480 + t**3/3 + 2. Let y(l) be the third derivative of g(l). Find f such that y(f) = 0.
-1, 0
Let t(s) be the second derivative of 0*s**2 - s + 0*s**3 - 1/6*s**4 + 0 + 1/20*s**5. Let t(u) = 0. Calculate u.
0, 2
Let r(u) be the first derivative of u**6/200 + u**5/100 - u**4/20 - 3*u**2/2 + 2. Let l(d) be the second derivative of r(d). Factor l(p).
3*p*(p - 1)*(p + 2)/5
Suppose 7*w - 5 = 9. Let q(y) be the third derivative of 1/600*y**6 + 0*y + 1/300*y**5 + 0*y**4 + 3*y**w + 0*y**3 + 0. Factor q(p).
p**2*(p + 1)/5
Let p(k) be the third derivative of k**6/480 + 3*k**5/160 + k**4/16 - 2*k**3/3 - 9*k**2. Let a(i) be the first derivative of p(i). Find j such that a(j) = 0.
-2, -1
Suppose 0*f = -5*o + 2*f - 8, -5 = o + 3*f. Let z be (-3)/o*2 + 0. Factor 0*i**3 + 3*i - 5*i + 2*i**z.
2*i*(i - 1)*(i + 1)
Let i(h) = 5*h**2 - 54*h + 125. Let f(d) = d. Let j(k) = 4*f(k) + i(k). Determine w so that j(w) = 0.
5
Let n(l) be the third derivative of -l**7/840 + l**5/10 - 5*l**4/24 + l**2. Let o(b) be the second derivative of n(b). Factor o(a).
-3*(a - 2)*(a + 2)
Let p = 57 + -227/4. Let n(k) be the first derivative of 2 - p*k**2 + 0*k + 2/3*k**3. Factor n(z).
z*(4*z - 1)/2
Factor 0 - 3/4*p**2 + 3/2*p.
-3*p*(p - 2)/4
Let t(y) be the first derivative of 2*y**3/15 - 10. Factor t(o).
2*o**2/5
Factor 2/5*y**2 + 4*y + 10.
2*(y + 5)**2/5
Let a be 1*(-178)/(-8) - 0. Let h = a - 22. Factor -1/4*u**2 + 1/4*u**4 + 0 - 1/4*u**3 + h*u.
u*(u - 1)**2*(u + 1)/4
Let q(h) be the first derivative of h**6/27 - 4*h**5/45 + 4*h**3/27 - h**2/9 - 1. Factor q(t).
2*t*(t - 1)**3*(t + 1)/9
Let j = -75 + 77. Let i be 2/7 - (-1)/(-28). Find s such that 3/4*s - 3/4*s**j - 1/4 + i*s**3 = 0.
1
Factor 5/4*p + 1/2*p**4 + 9/4*p**2 + 7/4*p**3 + 1/4.
(p + 1)**3*(2*p + 1)/4
Factor 10*a**4 + 55*a**4 - 4*a**5 - 21*a**5 + 10*a - 45*a**3 - 5*a**2.
-5*a*(a - 1)**3*(5*a + 2)
Solve -24/5*b + 0 - 4/5*b**2 = 0 for b.
-6, 0
Let v(u) be the second derivative of u**6/105 + u**5/70 + 6*u. Factor v(i).
2*i**3*(i + 1)/7
Let r be 0/(4/8*-2). Let g(u) be the second derivative of 0*u**2 + r + 1/20*u**5 - 1/3*u**3 + 1/12*u**4 - u. Factor g(s).
s*(s - 1)*(s + 2)
Let m(d) = d**5 + d**4 - d + 1. Let u(n) = 52*n**5 - 68*n**4 - 8*n**3 + 80*n**2 - 48*n + 16. Let y(w) = 16*m(w) - u(w). Solve y(a) = 0.
-1, 0, 2/3, 2
Suppose 0 = 5*j + 5 + 25. Let c be (-3)/j - (-2)/(-20). Factor 0 + c*b**2 + 0*b.
2*b**2/5
Factor 2*z - 11 + 3*z + 1 - 11*z**3 + 6*z**3 + 10*z**2.
-5*(z - 2)*(z - 1)*(z + 1)
Factor -14*t**4 + t - 2*t**5 + 17*t - 54 - 20*t**3 + 36*t + 36*t**2.
-2*(t - 1)**2*(t + 3)**3
Let j(a) = 4*a**2 - 1. Let k be j(1). What is f in 0*f**k + 0 + 6/7*f**4 - 2/7*f**5 + 0*f - 8/7*f**2 = 0?
-1, 0, 2
Suppose 0 = -r - 4*r - 50. Let n be (0 + 0)*r/(-20). Factor n + 1/2*x**3 + 0*x**2 - 1/2*x.
x*(x - 1)*(x + 1)/2
Factor -4/5*m**2 - 128/5*m - 1024/5.
-4*(m + 16)**2/5
Let n(o) be the second derivative of -o**6/6 - 31*o**5/60 + 5*o**4/4 + 7*o**3/18 - o**2 - 5*o. Determine g so that n(g) = 0.
-3, -2/5, 1/3, 1
Factor 0*n + 3/5*n**2 + 1/5*n**4 - 4/5*n**3 + 0.
n**2*(n - 3)*(n - 1)/5
Let k be (-2144)/112*11/(-2). Let i = k + -105. Factor -4/7*y**4 - i*y**3 + 0*y + 0 + 0*y**2 - 2/7*y**5.
-2*y**3*(y + 1)**2/7
Let f = -10 + 6. Let m be 3*f/(24/(-10)). Factor 2*a - a**m - 2*a**2 - 2*a**4 - a + 4*a**2.
-a*(a - 1)*(a + 1)**3
Let f(r) = -r + 1. Let k be f(-3). Suppose -3*b - k = -16. Suppose 0 - 1/2*p**2 - 1/2*p**5 - 3/2*p**b - 3/2*p**3 + 0*p = 0. Calculate p.
-1, 0
Let q(n) = -n**3 + n**2 + 3*n - 2. Let f be q(2). Suppose f - 2 = -b. Determine h, given that 0 - 1/2*h**b + 1/2*h = 0.
0, 1
Let p(w) be the second derivative of w**7/360 + w**6/360 + w**4/6 - w. Let q(n) be the third derivative of p(n). Factor q(i).
i*(7*i + 2)
Let t(f) be the first derivative of f**6/2 - 3*f**4/2 + 3*f**2/2 + 1. What is b in t(b) = 0?
-1, 0, 1
Solve 0*z**2 - z + 0 + 1/4*z**3 = 0 for z.
-2, 0, 2
Let z(a) be the second derivative of a**5/4 + 5*a**4/3 + 25*a**3/6 + 5*a**2 + 9*a. Factor z(q).
5*(q + 1)**2*(q + 2)
Suppose 0 = 28*o + 18*o. Factor o + 0*c + 1/4*c**2 - 1/4*c**3.
-c**2*(c - 1)/4
Let z(p) = -p**3 + 5*p**2 - 3*p - 4. Let s be z(4). Let h = 7/11 + -3/22. Factor -h*w**3 - w + s - 3/2*w**2.
-w*(w + 1)*(w + 2)/2
Let r = 3/415 + -7/12450. Let t(p) be the third derivative of -3*p**2 + 1/60*p**4 + 0*p + 0 + r*p**5 + 0*p**3. Solve t(i) = 0 for i.
-1, 0
Suppose -u = -4*y + 9, u = -u + 6. Factor 2/9*b**y + 2/3*b + 2/3*b**2 + 2/9.
2*(b + 1)**3/9
Let o be (4/(-5))/(8/(-20)). Solve -4*g**2 - 4*g**3 - 4*g**o - 4*g + 0*g**3 = 0 for g.
-1, 0
Let p(f) be the third derivative of -f**5/60 - f**4/3 - f**3/6 + 2*f**2. Let j be p(-7). Let 2 + j*b + b**2 - 3*b**2 - 3*b + 3*b**2 = 0. Calculate b.
-2, -1
Let s(w) = w**4 - 4*w**3 - 19*w**2 - 6*w. Let k(a) = 5*a**4 - 15*a**3 - 75*a**2 - 25*a. Let m(q) = -4*k(q) + 15*s(q). Solve m(b) = 0.
-1, 0, 2
Solve 21*v + 5*v**3 - 2*v - 54*v + 30 = 0.
-3, 1, 2
Let 0*p + 0 + 2/3*p**5 - 2/3*p**4 - 2/3*p**3 + 2/3*p**2 = 0. Calculate p.
-1, 0, 1
Let y(i) be the first derivative of 0*i**4 + 1/25*i**5 + 1/30*i**6 + 0*i**3 + 0*i**2 + 0*i - 2. Factor y(v).
v**4*(v + 1)/5
Let x = -8/285 - -23/684. Let o(l) be the third derivative of -1/36*l**4 + 1/9*l**3 + x*l**6 + 0 - 3*l**2 - 1/90*l**5 + 0*l. Find a such that o(a) = 0.
-1, 1
Let v = 2 + 1. Factor 16*d**v - d**2 + 7*d**4 + 3*d**2 + 2*d**2.
d**2*(d + 2)*(7*d + 2)
Factor -9/5*x + 24/5*x**2 + 0 + 6/5*x**4 - 21/5*x**3.
3*x*(x - 1)**2*(2*x - 3)/5
Solve 2/11*t**2 + 18/11 + 12/11*t = 0.
-3
Let t(c) = -c + 4. Let w be t(4). Let f(j) be the third derivative of -1/150*j**5 + w*j**3 + 0 + 0*j + 1/60*j**4 + j**2. Find y, given that f(y) = 0.
0, 1
Solve 3/2 + 1/2*y**2 + 2*y = 0.
-3, -1
Let j(v) be the first derivative of v**5/270 + v**4/36 + 2*v**3/27 + 3*v**2/2 + 7. Let b(x) be the second derivative of j(x). Let b(n) = 0. Calculate n.
-2, -1
Suppose 5*v - 3*v = 8. Suppose a - 4*a + 8 = -l, -v*l - a + 20 = 0. Find r such that 21/4*r**3 - 5*r + 9/4*r**l - 2 - 1/2*r**2 = 0.
-2, -2/3, 1
Let v(q) be the third derivative of q**7/210 - 2*q**6/45 + q**5/6 - q**4/3 + 5*q**3/6 + 4*q**2. Let c(o) be the first derivative of v(o). What is g in c(g) = 0?
1, 2
Suppose 4*i - q + 5 = 0, i - 4*q + 5 = -0*i. Let u be i/(-3)*(-36)/(-4). Factor -x**5 + x**u + 5*x**4 - 8*x**4 - x**2 + 4*x**4.
-x**2*(x - 1)**2*(x + 1)
Let u(z) = 28*z**2 - 48. Suppose -2*o = -5*o + 9. Let q(k) = -4*k**2 + 7. Let c(y) = o*u(y) + 20*q(y). Factor c(g).
4*(g - 1)*(g + 1)
Let a = -70 + 70. Factor -4/3*h**2 - 2/3*h**3 + a - 2/3*h.
-2*h*(h + 1)**2/3
Factor -5/3 + 19/3*y + 4/3*y**2.
(y + 5)*(4*y - 1)/3
Let c(a) be the third derivative of a**7/315 + a**6/90 + a**5/90 - 10*a**2. Find j such that c(j) = 0.
-1, 0
What is n in -2*n**4 - 6*n + 0*n + n**2 + 2 + 4*n**3 + 3*n**2 - 4*n**4 + 2*n**5 = 0?
-1, 1
Let x(h) be the third derivative of -h**8/80640 + h**7/5040 - h