*7/945 + w**6/540 + w**5/270 - 10*w**2. Factor y(f).
-2*f**2*(f - 1)*(f + 1)**2/9
Factor 1/4 + 11/2*k**2 + 2*k + 17/4*k**4 + k**5 + 7*k**3.
(k + 1)**4*(4*k + 1)/4
Factor -4*f**3 + 2*f + 3*f + 1 - 2*f.
-(f - 1)*(2*f + 1)**2
Factor -9/4*y**3 + 3/4*y**4 - 3/4*y + 9/4*y**2 + 0.
3*y*(y - 1)**3/4
Let s(c) be the first derivative of c**4/36 - c**3/9 + 5*c + 6. Let o(v) be the first derivative of s(v). Determine p, given that o(p) = 0.
0, 2
Let a(f) be the second derivative of -1/10*f**6 + 0 - 7/20*f**5 - 5/12*f**4 + 3*f + 0*f**2 - 1/6*f**3. Factor a(h).
-h*(h + 1)**2*(3*h + 1)
Let q(r) be the first derivative of r**8/672 + r**7/210 + r**6/240 - 3*r**2 - 2. Let z(l) be the second derivative of q(l). Suppose z(c) = 0. What is c?
-1, 0
Suppose 3*y - 325 = 215. Let c = y + -896/5. Let -c + 14/5*n**2 - 2*n = 0. What is n?
-2/7, 1
Let q(w) be the first derivative of 2*w**6/3 - 12*w**5/5 + 2*w**4 + 8*w**3/3 - 6*w**2 + 4*w + 5. Solve q(z) = 0 for z.
-1, 1
Determine l so that 5*l**4 - 48*l**2 + 10*l**3 - 19*l + 33*l**2 - l + 20 = 0.
-2, 1
Let d(f) be the first derivative of -f**5/15 + f**4/8 + f**3/6 + f**2 - 1. Let i(j) be the second derivative of d(j). Find n such that i(n) = 0.
-1/4, 1
Let w = 6 - 4. Let v be 42/7 - 2/w. What is h in -2*h**2 - 4*h**3 + 3*h**v + h + h**3 + 2*h**4 - h**3 = 0?
-1, 0, 1/3, 1
Let o be (24/(-10) + 2)/(171/(-95)). Let b(d) be the first derivative of 0*d**2 - 2/3*d + o*d**3 + 3. Let b(n) = 0. What is n?
-1, 1
Solve -80/11*t**2 + 32/11*t**3 - 6/11 - 46/11*t = 0.
-1/4, 3
Suppose -2*f - 5*o = 30 + 13, -3*o + 33 = -3*f. Let b be (4/(-7))/(20/f). Let 2/5 + b*a**2 - 4/5*a = 0. What is a?
1
Let c(p) = p**2 - 6*p - 1. Let n be c(5). Let v(j) = 7*j**2 + 12*j - 6. Let d(b) = -3*b**2 - 6*b + 3. Let q(m) = n*v(m) - 13*d(m). Find o, given that q(o) = 0.
1
Factor 3/4*i**3 - 2 + 1/4*i**4 - 1/2*i**2 - 3*i.
(i - 2)*(i + 1)*(i + 2)**2/4
Let r(a) be the first derivative of -a**8/336 + a**6/60 - a**4/24 - a**2/2 - 2. Let q(o) be the second derivative of r(o). Factor q(d).
-d*(d - 1)**2*(d + 1)**2
Let v(y) be the third derivative of y**8/100800 - y**7/6300 + y**6/900 - y**5/60 + 2*y**2. Let o(u) be the third derivative of v(u). What is s in o(s) = 0?
2
Let s(c) be the third derivative of 0 - 1/40*c**6 + 3/20*c**5 + 1/8*c**4 - 1/70*c**7 + 0*c - 2*c**2 - c**3. Factor s(f).
-3*(f - 1)**2*(f + 1)*(f + 2)
Let m(a) be the third derivative of a**5/30 - a**4/6 + a**3/3 + 7*a**2. Let m(o) = 0. What is o?
1
Let r = 6 + -3. Let w be (r/2)/(3/4). Factor 0*a**4 + 8*a**2 + w*a**5 + 8*a - 6*a**3 - 4*a**4 + 0*a**4 + 0*a**2.
2*a*(a - 2)**2*(a + 1)**2
Let b(m) be the third derivative of m**6/360 - m**5/120 + m**3/2 + m**2. Let s(x) be the first derivative of b(x). Factor s(j).
j*(j - 1)
Let v = 23 - 91/4. Factor 0 - 4*c**3 - 2*c**2 - v*c.
-c*(4*c + 1)**2/4
Let l(d) be the third derivative of d**8/6720 + d**7/1680 - d**6/120 - d**5/60 - d**2. Let p(b) be the third derivative of l(b). Factor p(w).
3*(w - 1)*(w + 2)
Let p = -103 - -106. Determine t so that -6/5*t**2 + 0 + 0*t - 3/5*t**p = 0.
-2, 0
Solve 2/3*y + 1/6*y**2 - 1/6 - 2/3*y**3 = 0.
-1, 1/4, 1
Factor -1/6*t**3 - 2/3 - 4/3*t - 5/6*t**2.
-(t + 1)*(t + 2)**2/6
Let o(n) = n**3 - 19*n**2 + 17*n + 18. Let z be o(18). Factor 2/5*h**3 + 2/5*h**2 - 2/5*h**4 + 0*h - 2/5*h**5 + z.
-2*h**2*(h - 1)*(h + 1)**2/5
Suppose 7*g = 6*g. Let z = 12 + -7. Factor -3*k - 2*k**2 - 2*k**3 + 2*k**4 + g*k + z*k.
2*k*(k - 1)**2*(k + 1)
Let z(d) be the third derivative of -d**6/120 - d**5/20 + d**4/24 + d**3/2 + d**2. Let k be z(-3). Factor k + 4/11*r**2 - 2/11*r**3 - 2/11*r.
-2*r*(r - 1)**2/11
Let w(v) be the first derivative of 2*v**6 - 8*v**5/5 - v**4 - 7. Determine g, given that w(g) = 0.
-1/3, 0, 1
Let w(i) be the first derivative of -i**5/15 - 11*i**4/36 - 5*i**3/18 + i**2/3 + 3*i - 1. Let t(o) be the first derivative of w(o). Factor t(z).
-(z + 1)*(z + 2)*(4*z - 1)/3
Let g(m) = -7*m**3 - 3*m**2 + 7*m + 3. Let s(o) = -4*o**3 - 2*o**2 + 4*o + 2. Let h(n) = 3*g(n) - 5*s(n). Solve h(w) = 0 for w.
-1, 1
Let a be (11 + 5)/16 + (-38)/(-4). Factor 2 + 1/2*q**2 - 8*q + a*q**3.
(q + 1)*(3*q - 2)*(7*q - 2)/2
Let y(c) be the third derivative of -1/21*c**3 + 0*c + 1/420*c**6 + 0 - 1/70*c**5 + 1/28*c**4 + 2*c**2. Suppose y(o) = 0. Calculate o.
1
Let i(a) be the third derivative of 0*a - 1/30*a**4 - 1/15*a**3 - 2*a**2 + 0 - 1/150*a**5. Determine b so that i(b) = 0.
-1
Let h(i) be the third derivative of i**8/10080 + i**7/1008 - i**6/240 - i**5/15 + 2*i**2. Let k(d) be the third derivative of h(d). Solve k(n) = 0.
-3, 1/2
Let o(s) be the first derivative of -2*s**4 + 4*s**3 - 4*s + 4. Factor o(m).
-4*(m - 1)**2*(2*m + 1)
Let u(c) be the first derivative of -20*c**3/3 + 35*c**2/2 - 15*c + 4. Factor u(g).
-5*(g - 1)*(4*g - 3)
Suppose 0 = 5*u - 282 - 93. Let a(v) = 2*v**2 - 9*v. Let l be a(6). Factor -11 - 3 - l*j**2 + 72*j + u*j**3 + 2 - 117*j**2.
3*(j - 1)*(5*j - 2)**2
Let v(c) be the first derivative of -c**4/5 + 2*c**2/5 - 11. Solve v(a) = 0 for a.
-1, 0, 1
Let q = -8 + 11. Factor 4*z**3 + 3*z**3 - 5*z**q + 4*z**2.
2*z**2*(z + 2)
Let s(l) be the third derivative of -l**4/24 - 2*l**2. Let n(v) = v**3 - v**2 + 4*v + 1. Let c(h) = -n(h) - 5*s(h). Find g such that c(g) = 0.
-1, 1
Let m(y) be the third derivative of -11*y**5/240 - 3*y**4/32 + y**3/12 - 3*y**2 + 7. Factor m(d).
-(d + 1)*(11*d - 2)/4
Let a = 12 - 23/2. Suppose 9 = 3*w - 0. Factor -a*t**2 + t + 0 + 1/2*t**4 - t**w.
t*(t - 2)*(t - 1)*(t + 1)/2
Suppose -4*b - 1 = -2*g + 11, 0 = -b + 1. Let h be 4/g*4/10. Let -h*y**2 + 3/5*y**4 + 0 + 0*y + 2/5*y**3 = 0. Calculate y.
-1, 0, 1/3
Let z = 36577/704 + -20735263/404800. Let g = z + -3/575. Determine h so that 0*h**4 + 4/11*h**2 - 4/11 - 2/11*h**5 + g*h**3 - 6/11*h = 0.
-1, 1, 2
Let o(n) be the second derivative of -n**7/14 - n**6/5 + 3*n**5/4 + 5*n**4/2 - 2*n**3 - 12*n**2 + 47*n. Find r such that o(r) = 0.
-2, -1, 1, 2
Factor -2*x + 12*x - 9*x - x**2.
-x*(x - 1)
Suppose 3*z - 95 = -86. Let x(f) be the second derivative of 1/12*f**4 + 3/20*f**5 + 1/42*f**7 + 0 + 3*f + 0*f**z + 0*f**2 + 1/10*f**6. What is q in x(q) = 0?
-1, 0
Let v(r) be the third derivative of -r**8/336 + r**7/63 - r**6/40 + r**5/90 + 3*r**2. Determine m, given that v(m) = 0.
0, 1/3, 1, 2
Let b(y) = 2*y**3 + 32*y**2 - 22*y. Let i(k) = k**3 + 13*k**2 - 9*k. Let d(f) = -5*b(f) + 12*i(f). What is p in d(p) = 0?
0, 1
Let k(y) be the third derivative of -y**5/12 + 5*y**4/24 + 5*y**3 - 3*y**2. Factor k(r).
-5*(r - 3)*(r + 2)
Suppose -5*w = -12*w. Let l(c) be the third derivative of 0 + w*c + c**2 + 1/12*c**5 + 1/3*c**3 - 7/24*c**4. Let l(v) = 0. Calculate v.
2/5, 1
Let f(u) be the third derivative of -u**8/560 - u**7/210 - u**6/360 - 2*u**3/3 - 3*u**2. Let t(m) be the first derivative of f(m). Factor t(h).
-h**2*(h + 1)*(3*h + 1)
Let u(c) be the third derivative of 4/105*c**5 + 0*c + 0 + 1/210*c**6 + 2/21*c**4 - 9*c**2 + 0*c**3. Let u(w) = 0. What is w?
-2, 0
Let m(l) = -l**2 + 3*l**2 + 4*l**4 - l**2 - 3*l**4 + 1. Let f(p) = 2*p**5 - 4*p**4 - 2*p**3 - 4*p**2 - 4. Let i(n) = f(n) + 4*m(n). Factor i(y).
2*y**3*(y - 1)*(y + 1)
Let v(q) = -4*q**2 - 72*q - 322. Let r(z) = 4*z**2 + 72*z + 321. Let o(n) = 2*r(n) + 3*v(n). Suppose o(x) = 0. What is x?
-9
Let o(f) = f**3 + f**2 - 2*f + 3. Let y be o(-2). Factor 0*k + 6/5*k**4 + 0 + 2/5*k**5 + 2/5*k**2 + 6/5*k**y.
2*k**2*(k + 1)**3/5
Let c(o) be the second derivative of -81*o**6/10 - 162*o**5/5 - 54*o**4 - 48*o**3 - 24*o**2 + 15*o. Factor c(w).
-3*(3*w + 2)**4
Suppose -v = -4*v - 3*m + 6, 3*v - 20 = 4*m. Let -2*g - v*g**3 - 4*g**2 + 2*g + 0*g = 0. Calculate g.
-1, 0
Let p = -4/85 + 781/340. Find y, given that -1/4*y**2 + 3/2*y - p = 0.
3
Let n(u) be the third derivative of 3*u**2 + 7/4*u**6 - 17/15*u**5 + 0*u**3 + 1/3*u**4 - 55/42*u**7 + 0*u + 0 + 125/336*u**8. Find q such that n(q) = 0.
0, 2/5, 1
Let j(s) = 10*s**3 + 2*s**2 + 6*s + 6. Let c(f) = 21*f**3 + 5*f**2 + 13*f + 13. Let p(d) = 6*c(d) - 13*j(d). Let p(q) = 0. Calculate q.
0, 1
Let h(p) be the first derivative of p**4 - 8*p**3/3 + 8. Let h(g) = 0. Calculate g.
0, 2
Let h(k) be the third derivative of -k**5/140 + 3*k**4/28 - 9*k**3/14 - 10*k**2. What is g in h(g) = 0?
3
Let q(i) be the third derivative of -i**7/1575 + i**6/450 - i**4/90 + i**3/45 - 20*i**2. Factor q(w).
-2*(w - 1)**3*(w +