/4*l**4 + 6*l**2 + 20*l**3 + f*l. Determine r, given that z(r) = 0.
-2/7, 0, 1/2
Let h(o) be the third derivative of 1/12*o**6 + 1/112*o**8 + 3*o**2 + 1/21*o**7 - 1/3*o**3 + 0 + 0*o**5 - 5/24*o**4 + 0*o. What is w in h(w) = 0?
-1, 2/3
Let v be (1 - 1 - -3) + -1. Find n, given that -3*n**2 - n**v + 2*n**2 = 0.
0
Suppose 6*w = 3*w - 5*i - 13, 0 = -2*i - 4. Let c = 6 + w. Suppose -c*q**2 + 3*q**2 - 8*q - 8 + 0*q**2 = 0. Calculate q.
-2
Let c = 2 - -3. Solve -11/2*o**4 + 0 - 9/2*o**3 + 1/2*o - 2*o**c - 1/2*o**2 = 0 for o.
-1, 0, 1/4
Suppose 0 = -3*l + q - 2*q + 63, 5*l + 3*q = 109. Let f(y) be the first derivative of -l*y**3 + 3 - 8*y - 48*y**2 + 12*y**2 - 34*y**3. Let f(c) = 0. What is c?
-2/9
Let a be (2/(-72))/(7/(-21)). Let r(g) be the second derivative of 0*g**2 + 0*g**3 - a*g**4 - 2*g + 0. Solve r(b) = 0.
0
Let x(f) be the second derivative of 1/50*f**5 + 0 + 5*f - 1/15*f**3 + 0*f**2 + 0*f**4. Factor x(u).
2*u*(u - 1)*(u + 1)/5
Let l(r) = -r**3 + 9*r**2 - 7*r - 6. Let b be l(8). Solve n**3 + 2*n**3 + 2*n**b + n**2 = 0 for n.
-1, 0
Let c be (1 - 0) + 4 + -3. Let 2*s**3 + 5*s**4 + 92 - 92 - 5*s**2 - c*s = 0. Calculate s.
-1, -2/5, 0, 1
Determine r, given that 44/7*r**2 + 16/7 - 50/7*r**3 - 24/7*r**4 + 2*r**5 + 72/7*r = 0.
-1, -2/7, 2
Let o(d) be the first derivative of d**6/360 + d**5/20 + 3*d**4/8 + d**3 + 4. Let r(m) be the third derivative of o(m). Factor r(s).
(s + 3)**2
Let t(g) be the third derivative of 2/5*g**5 + 8/105*g**7 + 0*g**3 - 2*g**2 + 0 - 1/6*g**4 - 3/10*g**6 + 0*g. Factor t(w).
4*w*(w - 1)**2*(4*w - 1)
Let f(t) be the third derivative of -t**8/252 - 2*t**7/315 + t**6/45 + 19*t**2. Factor f(p).
-4*p**3*(p - 1)*(p + 2)/3
Suppose 3*b = 7*b - 12. Let g(s) be the first derivative of 0*s + 2 - 3/16*s**4 - 1/8*s**2 - 1/4*s**b - 1/20*s**5. Find j, given that g(j) = 0.
-1, 0
Let r(m) be the third derivative of 1/36*m**4 + 0 + 0*m + 1/27*m**3 - 3*m**2 + 1/135*m**5 - 1/315*m**7 - 1/1512*m**8 - 1/270*m**6. Solve r(p) = 0 for p.
-1, 1
Let i(g) = -g**2 + 6*g + 7. Let w be i(6). What is o in 2*o + 15*o**3 - 3*o + 2 - 7*o**3 - w*o - 2*o**2 = 0?
-1, 1/4, 1
Let k(p) be the second derivative of p**8/3360 + p**7/105 + 2*p**6/15 + 16*p**5/15 + p**4/6 + 6*p. Let i(d) be the third derivative of k(d). Factor i(b).
2*(b + 4)**3
Let 2/7 + 4/7*b + 2/7*b**2 = 0. What is b?
-1
Let a(i) be the second derivative of i**7/14 - i**6/10 - 9*i**5/20 + i**4/4 + i**3 - 39*i. Factor a(l).
3*l*(l - 2)*(l - 1)*(l + 1)**2
Let y(a) be the first derivative of -2*a**5/45 + 4*a**4/9 - 44*a**3/27 + 8*a**2/3 - 2*a + 31. Find f such that y(f) = 0.
1, 3
Factor -3*o - 54*o**3 + 56*o**3 - 4*o**2 + 5*o.
2*o*(o - 1)**2
Let c(o) be the second derivative of -o**4/3 - 4*o**3 - 18*o**2 - 5*o - 2. Factor c(a).
-4*(a + 3)**2
Let k = 114 + -796/7. Let p = 293/1001 + -1/143. Factor -2/7*s - p*s**2 + 2/7*s**3 + 0 + k*s**4.
2*s*(s - 1)*(s + 1)**2/7
Let o(z) be the second derivative of z**4/114 + 2*z**3/19 - 26*z. Factor o(v).
2*v*(v + 6)/19
Determine r, given that r**5 - r**2 - 4 - 10*r + 17/2*r**3 + 11/2*r**4 = 0.
-2, -1/2, 1
Let w = 374 - 372. Factor 2/9*j**w + 2/3*j**3 + 0*j + 0 + 2/9*j**5 + 2/3*j**4.
2*j**2*(j + 1)**3/9
Let m(p) = p + 6. Let a be m(-4). Let -6*c**2 - 26*c - 22*c + 34*c**a - 16 = 0. Calculate c.
-2/7, 2
Let k(v) be the third derivative of -v**8/168 + v**7/105 + v**6/20 - v**5/6 + v**4/6 - v**2. Factor k(q).
-2*q*(q - 1)**3*(q + 2)
Let d(x) = -x**4 - x + 1. Let q(p) be the second derivative of p**6/5 - p**4/2 + p**3/2 + 2*p. Let n(b) = -3*d(b) - q(b). Let n(o) = 0. What is o?
-1, 1
Let t(r) be the third derivative of r**5/15 + r**4/6 - 4*r**3/3 - 18*r**2. Factor t(k).
4*(k - 1)*(k + 2)
Suppose -12 = b - 2*b - 3*p, -b + 2*p + 2 = 0. Let n = b + -4. Suppose -50/3*g**n - 8/3 - 40/3*g = 0. What is g?
-2/5
Let y = 8159/5442 - -2/2721. Factor y*r + 1 + 1/2*r**2.
(r + 1)*(r + 2)/2
Suppose -4*m + 8 = -4. Let k be (6 - m)/((-1)/(-1)). Let 0 + 1/2*l**k - 1/2*l + 0*l**2 = 0. Calculate l.
-1, 0, 1
Let h(w) = -8*w - 4. Let s be h(2). Let x be 4 + 2*s/16. Determine a, given that -3/4*a**2 + x*a + 0 = 0.
0, 2
Let f(i) be the first derivative of 0*i + 2 - 1/14*i**4 + 2/35*i**5 + 0*i**3 + 0*i**2. Determine j so that f(j) = 0.
0, 1
Let x(i) = -i**3 - 5*i**2 - 4*i + 2. Let c be x(-4). Let k(n) be the second derivative of 0 + 0*n**2 + c*n - 1/2*n**4 + 1/3*n**3. Factor k(v).
-2*v*(3*v - 1)
Suppose -4*p + 4*q + 3 = -29, -8 = 4*q. Let m(c) = -c + 8. Let g be m(p). Factor 1/5 + 1/5*x**3 + 3/5*x**g + 3/5*x.
(x + 1)**3/5
Let l(m) = -m**3 - m**2 + 1. Let n(d) = -3*d**3 - 5*d**2 + 2. Let r(o) = -6*l(o) + 3*n(o). Determine x so that r(x) = 0.
-3, 0
Let x = 1 - -2. Factor 4 - 4 + 2*k - 11*k**2 + 21*k**x + 5*k**5 - 17*k**4.
k*(k - 1)**3*(5*k - 2)
Let z = 9 - 7. Suppose 2 = z*m - 6. Solve 1/3*f**5 - 5/3*f**m + 2/3*f - 7/3*f**2 + 3*f**3 + 0 = 0 for f.
0, 1, 2
Let a = 193 - 190. Let k be (-9)/21*8/(-6). Factor 0 - k*z**a + 2/7*z**4 + 2/7*z**2 + 0*z.
2*z**2*(z - 1)**2/7
Factor -2/3 - 1/6*m**2 - 2/3*m.
-(m + 2)**2/6
Let g(f) be the third derivative of -1/3*f**3 + 5/24*f**4 + 1/210*f**7 - 1/20*f**5 + 0 - 1/120*f**6 + 9*f**2 + 0*f. Factor g(a).
(a - 1)**3*(a + 2)
Solve 3/4*n**4 - 9/4*n**2 + 3/2*n**3 + 3 - 3*n = 0.
-2, 1
Let k(i) = 2*i**5 - 10*i**3 - 4*i**2 + 16*i - 6. Suppose 2*r = -1 - 1. Let t(q) = -q**4 - q**2 + 1. Let s(o) = r*k(o) + 2*t(o). Find c, given that s(c) = 0.
-2, 1
Let a = 89 - 87. Let m(d) be the first derivative of d + 1/3*d**3 - a - d**2. Factor m(l).
(l - 1)**2
Let n(v) be the first derivative of -v**9/1512 - v**8/420 - v**7/420 + v**3 + 3. Let o(a) be the third derivative of n(a). Determine l, given that o(l) = 0.
-1, 0
Suppose 4*i - 2*z - 30 = 0, -3*i + 2*z + 6 = -17. Suppose k + 2*o + 6 - 20 = 0, -2*k + 3*o - i = 0. Solve -l - k*l**2 - 3*l**3 - 4*l**3 + 3*l**3 = 0.
-1/2, 0
Let p(r) = 2*r**4 - 5*r**3 - 4*r**2 - 5*r + 7. Let y(d) = -3*d**4 + 7*d**3 + 6*d**2 + 7*d - 10. Let b(j) = -7*p(j) - 5*y(j). Factor b(l).
(l - 1)**2*(l + 1)**2
Let y(u) be the second derivative of -3*u**5/20 - u**4/3 + u**3/6 + u**2 + 5*u. Factor y(s).
-(s + 1)**2*(3*s - 2)
Let x(b) be the third derivative of b**8/112 - b**7/14 + 9*b**6/40 - 7*b**5/20 + b**4/4 - 4*b**2. Factor x(c).
3*c*(c - 2)*(c - 1)**3
Let s(z) be the first derivative of -z**3/2 - 6*z**2 - 24*z + 3. Factor s(d).
-3*(d + 4)**2/2
Find r such that 61*r**2 + r**4 - 2*r**3 - 65*r**2 + r**4 = 0.
-1, 0, 2
Suppose -2*t - 2 = 2*j, 0 = -2*j + 4*t + 16 + 12. Let x(v) be the second derivative of 0 + 1/30*v**j - 1/5*v**2 + 0*v**3 + 2*v. Find y such that x(y) = 0.
-1, 1
Let s be (54/(-315))/((-12)/21). Let g(y) be the second derivative of 0*y**5 + 1/10*y**4 + 5*y - 1/50*y**6 - s*y**2 + 0*y**3 + 0. Suppose g(z) = 0. Calculate z.
-1, 1
Suppose -4*u + w + 14 = 0, 3*w + 3 = u - 6. Let i(q) = 2*q - 4. Let t be i(3). Let 4 + 1 - u + 6*p + 2*p**3 + 6*p**t = 0. What is p?
-1
Factor 4*g**4 - 3*g + 0*g**5 + 3*g**5 - g**2 - 5*g**2 + 2*g**4.
3*g*(g - 1)*(g + 1)**3
Let v(s) be the third derivative of -s**7/3780 + s**6/180 - s**5/20 + s**4/6 + 5*s**2. Let i(c) be the second derivative of v(c). Let i(z) = 0. Calculate z.
3
Find s, given that 36/7*s**2 - 12/7 - 10/7*s**3 - 2*s = 0.
-2/5, 1, 3
Solve 0*l + 0 - 1/3*l**2 = 0 for l.
0
Let x(q) be the first derivative of 4 + 0*q + 4/9*q**3 - 1/6*q**6 + 1/6*q**4 + 1/6*q**2 - 4/15*q**5. Solve x(v) = 0.
-1, -1/3, 0, 1
Let t = 34 - 28. Let a(s) be the second derivative of -3*s - 1/3*s**t - 2/3*s**4 + 13/10*s**5 + 0*s**2 - 4/3*s**3 + 0. Factor a(x).
-2*x*(x - 2)*(x - 1)*(5*x + 2)
Factor 2*w + 0 + 8/9*w**3 + 8/3*w**2.
2*w*(2*w + 3)**2/9
Let u be (1 + -2)/((-4)/8). Suppose 2*p + 2*b = 4, 0 = 3*p + 2*p - b + u. Factor 1/3*d**2 + p - 1/3*d.
d*(d - 1)/3
Let p(g) be the first derivative of 1/2*g**2 + 0*g**5 + 1 + 0*g**3 + 1/30*g**6 - g - 1/6*g**4. Let w(z) be the first derivative of p(z). Factor w(y).
(y - 1)**2*(y + 1)**2
Let o(k) be the third derivative of -k**6/1200 + k**5/100 - 11*k**4/240 + k**3/10 - 23*k**2. Suppose o(g) = 0. Calculate g.
1, 2, 3
Let n(u) = -u**2 - u. Let j(d) be the third derivative of -d**5/20 + 3*d**4/4 + d**3/2 + 3*d**2. Let z(y) = -j(y) - 9*n(y). Factor z(w).
3*(w - 1)*(4*w + 1)
Let j(r) be the third derivative of -r**5/30 - 2*r**4/3 - 16*r**3/3 + 9*r**2. Factor j(k).
-2*(k + 4)**2
What is k in 4/5*k**2 + 0*k +