0 + s**4/3 + 3*s. Let w(p) be the third derivative of y(p). Factor w(k).
-2*k*(k - 1)*(k + 1)**2/3
Let m(i) be the third derivative of 0*i - 1/8*i**4 - 1/480*i**6 + 0 - 1/3*i**3 - 1/40*i**5 + i**2. Factor m(v).
-(v + 2)**3/4
Let q(s) be the first derivative of s**6/300 - s**5/150 + 2*s**3 + 5. Let p(m) be the third derivative of q(m). Determine n, given that p(n) = 0.
0, 2/3
Let y(c) be the third derivative of -c**5/420 + c**4/84 - c**3/42 + 2*c**2. Factor y(z).
-(z - 1)**2/7
Let d(h) be the first derivative of h**4/10 - h**2/5 + 5. Find w, given that d(w) = 0.
-1, 0, 1
Suppose 0*r - 87 = -r. Suppose 5*h - 43 - r = 0. Let -16*g**3 - 2 + 4*g**3 - 24*g - 4 - 2*g**4 - h*g**2 - 2 = 0. Calculate g.
-2, -1
Let x(b) be the third derivative of b**5/20 - b**4/4 + 2*b**2 + 10*b. Factor x(f).
3*f*(f - 2)
Let t(l) be the third derivative of 1/44*l**4 - 5*l**2 + 0 + 0*l**3 - 1/330*l**5 + 0*l. Suppose t(o) = 0. Calculate o.
0, 3
Suppose 0 = -4*z - z + 15. Suppose y = -4*s - 2, z*s - 2 = -y - 3. Let 0 + 1/4*c**3 - 1/4*c**y + 0*c = 0. Calculate c.
0, 1
Factor 2/5*n**2 + 4/5*n - 6/5.
2*(n - 1)*(n + 3)/5
Let w = 2/229 + 432/2977. Factor 0 + 2/13*g**3 - w*g**4 - 2/13*g + 2/13*g**2.
-2*g*(g - 1)**2*(g + 1)/13
Let x(o) = 30*o**2 + 12*o - 18. Let q(n) = -10*n**2 - 4*n + 6. Let w be 13/26 + (-13)/2. Let g(y) = w*x(y) - 20*q(y). Determine j so that g(j) = 0.
-1, 3/5
Suppose 0 = 3*w - 4*t + 8*t + 10, 5*w - 14 = t. Let b = 11 + -8. Factor -d**b - 5/4*d**w - 1/4*d + 0.
-d*(d + 1)*(4*d + 1)/4
Factor -2/15*s**4 + 0*s + 2/15*s**3 + 2/15*s**2 + 0 - 2/15*s**5.
-2*s**2*(s - 1)*(s + 1)**2/15
Let q(r) = -2*r**5 + 4*r**4 + 2*r**3 - r**2 + 3*r + 3. Let v(f) = 3*f**5 - 8*f**4 - 5*f**3 + f**2 - 5*f - 5. Let l(u) = 5*q(u) + 3*v(u). Factor l(n).
-n**2*(n + 1)**2*(n + 2)
Let n be (-111)/(-6) + (-5 - -2). Let z = 16 - n. Factor 5/2*o - 1 - 3/2*o**2 - 1/2*o**3 + z*o**4.
(o - 1)**3*(o + 2)/2
Let p(k) be the second derivative of -k**7/252 + k**6/30 - 7*k**5/60 + 2*k**4/9 - k**3/4 + k**2/6 + k - 11. Factor p(j).
-(j - 2)*(j - 1)**4/6
Let k(z) be the second derivative of -z**4/6 + z**3 + 5*z. Find p, given that k(p) = 0.
0, 3
Let l be (-18)/(-273)*(-392)/(-84). Find i such that 4/13*i - 2/13*i**2 - l*i**3 + 2/13 = 0.
-1, -1/2, 1
Let z(r) be the second derivative of r**6/210 - 3*r**5/140 + r**4/84 + r**3/14 - r**2/7 + 6*r. Factor z(o).
(o - 2)*(o - 1)**2*(o + 1)/7
Let a(r) be the third derivative of r**5/15 - 2*r**4/3 + 8*r**3/3 + 4*r**2. What is f in a(f) = 0?
2
Suppose -8 = -3*f + d, 1 - 5 = -4*f - 2*d. Let t = f - -1. Factor 1 - 4*o - t*o**2 + 0*o**2 - 2.
-(o + 1)*(3*o + 1)
Let m be (27/180)/(1/2). Let h(b) be the second derivative of 1/6*b**4 + 0 + 0*b**6 + m*b**5 + 0*b**3 - b + 0*b**2 - 4/21*b**7. Factor h(x).
-2*x**2*(x - 1)*(2*x + 1)**2
Let d(o) = -5*o**4 + 5*o**3 + 4*o**2 - 6*o. Let z(l) = -l**4 + l**3 + l**2 - l. Let h(u) = d(u) - 6*z(u). Factor h(x).
x**2*(x - 2)*(x + 1)
Let a(l) = -5*l**2 - 1. Let f be -4 - (0 - 1 - -3). Let w(k) = -k**2. Let d(j) = f*w(j) + a(j). Let d(t) = 0. Calculate t.
-1, 1
Let f = 269/2 - 134. Factor f*n + 0 + 1/4*n**2.
n*(n + 2)/4
Find a, given that 8/11*a + 10/11*a**3 + 26/11*a**2 - 8/11 = 0.
-2, -1, 2/5
Let t(f) be the third derivative of -f**6/180 - f**5/18 - 7*f**4/36 - f**3/3 - 3*f**2. Factor t(x).
-2*(x + 1)**2*(x + 3)/3
Suppose 0 = -k + 2*k - 20. Let x be 84/k - 2/10. Suppose 0*n**2 - 1/3*n**5 + 0*n + 1/3*n**3 + 0 + 0*n**x = 0. Calculate n.
-1, 0, 1
Let l(u) be the first derivative of 2*u**3/21 + 2*u**2/7 - 6*u/7 - 5. Solve l(r) = 0 for r.
-3, 1
Let u(n) = -n**4 + n**3 + n**2 + 3*n + 2. Let x(j) = -j + j**2 + j**4 - 2*j**4 - 2 + 3 + j**3 + 2*j. Let z(q) = 2*u(q) - 4*x(q). Let z(b) = 0. What is b?
-1, 0, 1
Let s(d) = d**2 - 13*d + 12. Let n be s(12). Let u be 4/12*n - -2. Determine q so that -10/9*q**u - 8/9*q - 2/9 - 4/9*q**3 = 0.
-1, -1/2
Let r(t) be the second derivative of -t**7/70 - t**6/10 - 27*t**5/100 - 7*t**4/20 - t**3/5 - 3*t. Let r(n) = 0. Calculate n.
-2, -1, 0
Let r(y) be the second derivative of -y**9/5040 + y**8/1400 - y**7/1400 + 5*y**3/6 - 10*y. Let x(a) be the second derivative of r(a). Factor x(v).
-3*v**3*(v - 1)**2/5
Suppose 0*l + 6 = l. Let d be l/(-9)*3/(-4). Find k such that 1/2*k + d*k**4 + 0 - 1/2*k**3 - 1/2*k**2 = 0.
-1, 0, 1
Let i be 60/(-140) - 34/(-14). Let x(m) be the third derivative of 0*m**4 - 1/180*m**6 + 2*m**i - 1/90*m**5 + 0*m + 0 + 0*m**3. Determine q so that x(q) = 0.
-1, 0
Let y be -2 + (-1)/2*-4. Let r = y - -3. Let -1 + 3*b**2 - r*b + 3*b**2 - 8*b**2 = 0. Calculate b.
-1, -1/2
Let z(n) = -n + 9. Let s be z(9). Let w(d) be the third derivative of s*d**4 + 1/6*d**3 - 1/60*d**5 + 2*d**2 + 0 + 0*d. Suppose w(f) = 0. What is f?
-1, 1
Let x(j) = -5*j**4 + 2*j**2. Let c(w) = 5*w**4 - 3*w**2. Let i(b) = -2*c(b) - 3*x(b). Factor i(u).
5*u**4
Let j(p) = p - 5. Let z be j(0). Let x = z - -9. Factor 3 + u**2 + 1 - x + u - 2.
(u - 1)*(u + 2)
Let y(c) be the third derivative of -c**8/20160 - c**7/2520 - c**6/720 + c**5/60 - 2*c**2. Let i(q) be the third derivative of y(q). Factor i(x).
-(x + 1)**2
Let z(t) = t**2 + 2. Let q be z(0). Suppose 2 + 2 = q*h. Factor 0 + v**3 - 1/3*v**4 - 2/3*v**h + 0*v.
-v**2*(v - 2)*(v - 1)/3
Let z be (6 - 2)/(1/8). Let a be z/14 - 4/14. Factor -2*v**2 - 3 + 3 + a.
-2*(v - 1)*(v + 1)
Let x = 5264/15 - 625/3. Let f = 143 - x. Let -2/5*w**4 + f*w**2 - 2/5*w + 2/5*w**3 + 0 = 0. Calculate w.
-1, 0, 1
Let t = 8 + 1. Let v be 6/t*(-30)/(-4). Factor 0*b - 2/7*b**v + 2/7*b**2 + 6/7*b**4 + 0 - 6/7*b**3.
-2*b**2*(b - 1)**3/7
Solve 3/5*q**2 + 0*q - 3/5*q**3 + 0 = 0.
0, 1
Factor 2/3*t**2 - 8 + 8/3*t.
2*(t - 2)*(t + 6)/3
Let q = 7 - 13/2. Suppose j - 1 + 3 = f, 0 = -3*f + 2*j + 4. Find s, given that -q*s + 0*s**2 - 1/2*s**5 + 0*s**4 + f + s**3 = 0.
-1, 0, 1
Let o be -1 - (-8 + 2 - 3). Let n = o - 6. What is d in 0 + 7/5*d**n - 8/5*d**3 + 3/5*d**4 - 2/5*d = 0?
0, 2/3, 1
Let s(n) = 2*n**4 + n**3 - 2*n**2 - n + 3. Let b(r) = 5*r**4 + 2*r**3 - 5*r**2 - 2*r + 7. Let i be -4 + -1 + 1 + -2. Let x(k) = i*b(k) + 14*s(k). Factor x(a).
-2*a*(a - 1)**2*(a + 1)
Let m(t) = -t**2 + 2*t + 5. Let n(l) = -11*l**2 + 9*l**2 + 5*l**2 - 3*l - 11. Let x(w) = -5*m(w) - 2*n(w). Factor x(v).
-(v + 1)*(v + 3)
Let z(s) = 10*s**4 - 55*s**3 + 35*s**2. Let g(b) = -5*b**4 + 27*b**3 - 18*b**2. Let p(n) = -5*g(n) - 2*z(n). Factor p(k).
5*k**2*(k - 4)*(k - 1)
Let u(i) = i**3 - 10*i**2 + 8*i + 11. Let w be u(9). Factor 1/3*f - 5/3*f**w + f**3 + 1/3.
(f - 1)**2*(3*f + 1)/3
Let f = -5 + 8. Let u(s) = -s - 3. Let z be u(-6). Factor 2 + 5*b**2 + 1 - 3 - z*b**f - b**4 + b**5 - 2*b.
b*(b - 1)**3*(b + 2)
Let l(s) be the first derivative of 27*s**4/4 - 52*s**3 + 207*s**2/2 + 54*s - 9. Suppose l(h) = 0. What is h?
-2/9, 3
Let r be 1 + 2 + (-494)/6. Let s = r + 80. Factor -2/3*l**2 + 0*l + s.
-2*(l - 1)*(l + 1)/3
Suppose 236 = 19*m + 198. Solve j - 1/2 - 1/2*j**m = 0.
1
Let a(w) = -w + 9. Let k be a(9). Let y be (1/7)/((-11)/(-22)). Let y + k*x - 2/7*x**2 = 0. What is x?
-1, 1
Factor -8/3*l - 5 - 1/3*l**2.
-(l + 3)*(l + 5)/3
Let q(g) be the first derivative of g - 49/9*g**4 - 8/9*g**2 + 3 + 343/90*g**5 + 28/9*g**3. Let n(w) be the first derivative of q(w). Factor n(j).
2*(7*j - 2)**3/9
Let n(q) be the first derivative of -q**6/6 + 2*q**5/5 + 2*q**4 + 29. Factor n(i).
-i**3*(i - 4)*(i + 2)
Factor 12*a - 8/3*a**3 - 2/3*a**4 + 2*a**2 + 0.
-2*a*(a - 2)*(a + 3)**2/3
Let 181*r - 15*r**3 + 5*r**5 + 5*r**4 - 5*r**2 - 90*r - 81*r = 0. Calculate r.
-2, -1, 0, 1
Let l(r) be the first derivative of -1/6*r**3 + 3/4*r**2 + 6 - r. Let l(a) = 0. Calculate a.
1, 2
Let h be 10/3 - (-8)/(-6). Find z such that -4/9*z + 2/9*z**h + 0 = 0.
0, 2
Let c be -1 - (1130/(-8))/5. Let x = c + -27. Let -x*b + 0*b**2 + 1/4*b**3 + 0 = 0. What is b?
-1, 0, 1
Let p(c) be the first derivative of 1 - 2/21*c**3 - 4/7*c**2 - 8/7*c. Find n, given that p(n) = 0.
-2
Find p, given that 4/7*p**3 + 0*p + 2/7*p**2 + 2/7*p**4 + 0 = 0.
-1, 0
Let u(z) be the first derivative of -z**6/48 + z**5/40 + z**4/32 - z**3/24 + 6. Factor u(o).
-o**2*(o - 1)**2*(o + 1)/8
Let s be (-5)/(4950/(-14))*42. Let n = 4/55 + s. Factor n*b**2 + 2/3*b - 2/3 - 2/3*b**3.
-2*(b - 1)**2*(b + 1)/3
Let b(a) be the first derivative of -4*a - 3*a**2 + 3/2*a**4 - 2 + 4/3*a**3. Factor b(w).
2*(w - 1)*(w + 1)*(3*w + 2)
Suppose 