hird derivative of -j**4/24 - j**3/6 + j**2. Let d(y) = 5 - 4 + 0 - y**2. Let f(b) = 2*d(b) + 3*o(b). Factor f(l).
-(l + 1)*(2*l + 1)
Let c(n) = 10*n**2 - 2*n - 5. Let y(i) = -3*i**2 + i + 2. Let d(p) = -2*c(p) - 7*y(p). Suppose d(t) = 0. What is t?
-1, 4
Suppose 0*h**2 + 3*h**2 + 2*h**2 = 0. Calculate h.
0
Let c(k) be the second derivative of -k**9/26460 - k**8/7840 - k**7/8820 + k**4/4 + 3*k. Let u(p) be the third derivative of c(p). What is f in u(f) = 0?
-1, -1/2, 0
Let x(l) = -10*l**3 + 16*l**2 - 30*l + 10. Let h(w) = -2*w**3 + 3*w**2 - 6*w + 2. Let s = -5 - -2. Let g(v) = s*x(v) + 14*h(v). Let g(b) = 0. What is b?
1
Let z(s) = s**2 + s + 1. Let y(f) = -6*f**2 - 14*f - 10. Let x(d) = y(d) + 10*z(d). What is l in x(l) = 0?
0, 1
Let a(b) be the first derivative of b**4/12 - 4*b**3/9 + 5*b**2/6 - 2*b/3 + 11. Find j, given that a(j) = 0.
1, 2
Let v(k) be the third derivative of k**6/24 - k**5/12 - 5*k**4/24 + 5*k**3/6 - 3*k**2. Suppose v(t) = 0. What is t?
-1, 1
Let x(p) be the first derivative of 3*p**4/4 - p**3 - 3*p**2/2 + 3*p + 6. Solve x(t) = 0.
-1, 1
Let n(h) be the second derivative of -h**4/12 + h**2 + 3*h. Let d be n(0). Factor -o**2 - 2*o**5 - 2*o**4 + o**d + 0*o**4.
-2*o**4*(o + 1)
Suppose -2*u + 2 = -u. Factor -5 + 2*q**4 - 1 - 7*q**2 + 8 + 3*q**u.
2*(q - 1)**2*(q + 1)**2
Let h(v) = -2*v**4 + v**3 - v + 1. Let m(d) = -d**4 + d**3 - d + 1. Let g(a) = -3*h(a) + 3*m(a). Factor g(c).
3*c**4
Find o, given that 50*o**2 - 2*o**3 - 2*o**3 - 42*o**2 = 0.
0, 2
Let l(y) = -y**2 - y + 10. Let k(n) = -n**2 - 2*n + 12. Let z(r) = 4*k(r) - 6*l(r). Factor z(h).
2*(h - 3)*(h + 2)
Let n(f) be the second derivative of -f**6/35 - 4*f**5/35 - f**4/6 - 2*f**3/21 + 3*f. Find k, given that n(k) = 0.
-1, -2/3, 0
Let l(b) be the second derivative of 0*b**2 - 1/60*b**4 + 3*b + 1/100*b**5 + 0 + 0*b**3. Factor l(w).
w**2*(w - 1)/5
Let r(j) be the first derivative of j**4/4 + j**3 - 4*j + 2. Factor r(x).
(x - 1)*(x + 2)**2
Let u(a) = 3*a**3 - a**2 + 1. Let l be u(1). What is p in -l - p + 6*p**2 + p - 3*p = 0?
-1/2, 1
Let c(o) be the third derivative of 0 + 0*o**3 + 0*o + 1/60*o**5 - o**2 + 1/72*o**4. Factor c(p).
p*(3*p + 1)/3
Let v(s) be the second derivative of 4*s + 0*s**2 - 2/75*s**6 + 0 + 0*s**4 + 0*s**3 - 1/105*s**7 - 1/50*s**5. Determine t so that v(t) = 0.
-1, 0
Let r(v) be the first derivative of 3*v**4 + 16*v**3/3 + 2*v**2 + 16. Factor r(j).
4*j*(j + 1)*(3*j + 1)
Let w(k) be the second derivative of -k**6/120 - 7*k**5/80 - 5*k**4/16 - 13*k**3/24 - k**2/2 + 6*k. Solve w(l) = 0 for l.
-4, -1
Factor -2*c**3 + c**3 + c**4 + 8*c**2 - 10*c**2.
c**2*(c - 2)*(c + 1)
Factor -2/3 + 7/6*n**2 + 2*n.
(n + 2)*(7*n - 2)/6
Let j(x) be the first derivative of 9*x**5/5 + 6*x**4 - 3*x**3 - 18. Solve j(h) = 0 for h.
-3, 0, 1/3
Let h(t) be the third derivative of -t**9/90720 - t**8/10080 - t**7/3780 + t**5/20 + 2*t**2. Let a(k) be the third derivative of h(k). Factor a(r).
-2*r*(r + 1)*(r + 2)/3
Find f such that 2*f**4 + f**3 - 2*f**2 - f**5 + 0*f**2 + 0*f**2 + 0*f**2 = 0.
-1, 0, 1, 2
Factor 4/5*v**3 - 4*v + 12/5 + 4/5*v**2.
4*(v - 1)**2*(v + 3)/5
Let w(y) be the first derivative of -2*y**3/27 + 5*y**2/9 - 8*y/9 - 27. Factor w(p).
-2*(p - 4)*(p - 1)/9
Let d = 18 + -71/4. Let l(z) be the first derivative of -1/6*z**6 + d*z**4 + 0*z - 1/3*z**3 - 2 + 1/5*z**5 + 0*z**2. What is r in l(r) = 0?
-1, 0, 1
Let r = -589 + 2946/5. Factor 1/5 + 0*z + r*z**4 + 0*z**3 - 2/5*z**2.
(z - 1)**2*(z + 1)**2/5
Factor -57/4*m - 3/4*m**3 + 33/4*m**2 + 27/4.
-3*(m - 9)*(m - 1)**2/4
Let k = 44 - 85/2. Factor -k*r + 0 - 3*r**2 - 3/2*r**3.
-3*r*(r + 1)**2/2
Let y = -3/97 - -112/485. Determine o, given that -y*o**2 + 1/5*o + 0 = 0.
0, 1
Let l(v) = -v**2 - 4*v + 2. Let k be l(-5). Let i be 3*(1 + 3 + k). Find w, given that 2*w**i + 0 - 2/3*w**4 + 0*w - 4/3*w**2 = 0.
0, 1, 2
Let s(k) be the third derivative of k**6/60 - k**5/15 - k**4/4 + 7*k**2. Factor s(i).
2*i*(i - 3)*(i + 1)
Let r be ((-810)/(-24))/(-9)*(-7 + 3). Suppose 15/2*h**4 + 15/2*h + 3/2*h**5 + 15*h**3 + r*h**2 + 3/2 = 0. Calculate h.
-1
Let l(w) be the first derivative of 2*w**3 + 3 - 6*w + 9/4*w**4 - 9/2*w**2. Factor l(v).
3*(v - 1)*(v + 1)*(3*v + 2)
Let x(r) = -r**3 + 4*r**2 - 3*r + 5. Let y be x(5). Let v be (8/10)/((-14)/y). Factor -2/7*b + 0 - 6/7*b**3 - 2/7*b**4 - 6/7*b**v.
-2*b*(b + 1)**3/7
Let v be (-1 - 1)/(-2)*1. Let k(w) = 1. Let o(p) = 3. Let d(g) = -5*k(g) + 2*o(g). Let j(x) = -x**2 + 3*x - 1. Let s(c) = v*j(c) - d(c). Factor s(u).
-(u - 2)*(u - 1)
Let n(b) be the third derivative of b**7/245 + b**6/120 - 3*b**5/140 + b**4/84 - 34*b**2. What is f in n(f) = 0?
-2, 0, 1/3, 1/2
Suppose 56*h - 51 = 39*h. Let 0 - 12/7*s**h + 8/7*s**4 + 0*s**2 + 4/7*s = 0. What is s?
-1/2, 0, 1
Let d(v) = v**4 + 11*v**3 - 20*v**2 + 12*v + 4. Let z(j) = j**4 + 23*j**3 - 41*j**2 + 24*j + 7. Let k(m) = -7*d(m) + 4*z(m). Factor k(h).
-3*h*(h - 2)**2*(h - 1)
Suppose k + 22 = 3*k. Let z = -8 + k. Determine t, given that 0 + 0*t + 2/9*t**4 - 2/9*t**2 + 0*t**z = 0.
-1, 0, 1
Let u(l) be the second derivative of l**7/1260 + l**6/360 - l**4/4 + 2*l. Let j(o) be the third derivative of u(o). Let j(i) = 0. What is i?
-1, 0
Let r = -14 + 20. Let h be r*1/10*1. Factor 0*b - h*b**2 + 3/5.
-3*(b - 1)*(b + 1)/5
Let i be -12*((-9)/(-6))/(-3). Suppose -5*n = -i*n. Factor 2 + 4*c + n - 3 + 5 + c**2.
(c + 2)**2
Let a(c) = 8*c - 36. Let l be a(5). Solve -8/3*f - 2/3 - 4*f**2 - 8/3*f**3 - 2/3*f**l = 0 for f.
-1
Let g(a) = -2*a**2 + 2*a + 2. Let x(f) be the second derivative of -f**5/20 + 7*f**4/12 - 7*f**3/6 - 7*f**2/2 - 4*f. Let r(z) = 7*g(z) + 2*x(z). Factor r(v).
-2*v**3
Let c be 2 + -2 + (3 - 1). Suppose -o = -c*o. Solve 0 + d**2 - 5/2*d**3 - 7/2*d**4 + o*d = 0.
-1, 0, 2/7
Let z(s) = -2*s**2 + 9*s + 5. Let r be z(5). Let u(j) be the third derivative of 1/6*j**3 + r*j + 2*j**2 + 0 + 1/12*j**4 + 1/60*j**5. Solve u(y) = 0 for y.
-1
Factor -4*f**5 + 50*f**4 - 8*f**2 + 12*f**3 - 50*f**4.
-4*f**2*(f - 1)**2*(f + 2)
Suppose 0 = 4*r - t - 9, -2 = -4*r + 3*t + 9. Factor 3*h**r + 3*h - 3*h - 6*h**2.
-3*h**2
Let u be (-41)/4*(-28)/21. Let d = 14 - u. Factor 1/3*y**3 + 0 + 0*y + 1/3*y**2 - d*y**4 - 1/3*y**5.
-y**2*(y - 1)*(y + 1)**2/3
Let v = -92 - -277/3. Factor -1/3*a**2 + 0*a + 0 - v*a**3.
-a**2*(a + 1)/3
Let l(f) = -5*f**3 - 3*f**2 - 2*f - 2. Let g be l(-2). Let c be 4/g + 44/495. Suppose c*n**2 + 4/9*n + 0 = 0. Calculate n.
-2, 0
Suppose -2*l = l - 3. Let x be (13/(-6))/(l/(-4)). Factor 14/3*a + x*a**4 + 2/3 + 12*a**2 + 2*a**5 + 44/3*a**3.
2*(a + 1)**4*(3*a + 1)/3
Let n = -123967/14 + 17853/2. Let o = 72 - n. Factor o*k**2 - 4/7*k + 2/7.
2*(k - 1)**2/7
Let q(j) be the second derivative of 0*j**2 - j + 7/60*j**5 + 0*j**3 + 2/15*j**6 + 1/36*j**4 + 0. Find g, given that q(g) = 0.
-1/3, -1/4, 0
Let y = -4 + 9. Suppose j - y*w - 6 = 3*j, 4*j + 3*w = 2. Find t such that -1/3 - t**j - 1/3*t**3 - t = 0.
-1
Let i(s) be the third derivative of -3/8*s**4 + 0*s + 1/4*s**5 + 0 - s**3 + 4*s**2. Let i(x) = 0. What is x?
-2/5, 1
Solve 0 + 1/2*z**3 + 1/6*z**4 + 1/3*z - 5/6*z**2 - 1/6*z**5 = 0.
-2, 0, 1
Let r(i) be the first derivative of 2*i - 1/105*i**6 + 0*i**2 - 1/42*i**4 + 0*i**3 - 1/35*i**5 + 1. Let a(t) be the first derivative of r(t). Factor a(w).
-2*w**2*(w + 1)**2/7
Let k(p) be the first derivative of -p**3/3 + p**2 + 8*p - 14. Factor k(m).
-(m - 4)*(m + 2)
Let m(r) = r**4 + r. Let s(n) be the first derivative of n**5/5 + 3*n**4/4 - n**3/3 - n**2/2 + 2*n + 4. Let p(g) = 6*m(g) - 3*s(g). Factor p(h).
3*(h - 2)*(h - 1)**2*(h + 1)
Let n(p) be the first derivative of -p**6/90 + 4*p**5/15 - 8*p**4/3 + 5*p**3/3 + 3. Let o(d) be the third derivative of n(d). Let o(y) = 0. Calculate y.
4
Factor 8*m + 2*m**2 - 6*m**2 + 4*m.
-4*m*(m - 3)
Let y(p) = -2*p**2 - 8*p + 12. Let g(b) = b**2 - 1. Let q(h) = 4*g(h) + y(h). Factor q(a).
2*(a - 2)**2
Suppose -5*b = -0*b - 10. Suppose 4/7*p + 0 - 6/7*p**5 + 2*p**4 - 6/7*p**b - 6/7*p**3 = 0. Calculate p.
-2/3, 0, 1
Let n(y) = y - 10. Let z be n(12). Determine j so that 17*j**2 + 16*j**2 + 9 - 36*j**z - 6*j = 0.
-3, 1
Let i be ((-48)/10)/(252/(-120)) + -2. Factor 20/7*h**2 - 2/7*h**3 - i*h**5 - 8/7*h**4 + 8/7*h - 16/7.
-2*(h - 1)**2*(h + 2)**3/7
Suppose -21 + 151 = 26*j. Factor 6/11*f**3 + 0*f**2 + 2/11*f**j + 0*f - 8/11*f**4 + 0.
2*f**3*(f - 3)*(f 