**5/5 + 117*i**4/2 + 918*i**3/5 + i**2 - 9*i. Determine c so that v(c) = 0.
-3, 17
Let g(v) be the second derivative of 0 - v - 1/6*v**3 + 5/2*v**2 + 11/12*v**4. Let z(o) = 16*o**2 - 2*o + 7. Let t(k) = -7*g(k) + 5*z(k). Factor t(a).
3*a*(a - 1)
Let s = -28 + 28. Factor -16*n**3 + 12*n - 4 - 9*n**2 + s*n**5 + 12 + 4*n**5 + n**2.
4*(n - 2)*(n - 1)*(n + 1)**3
Let w(v) be the first derivative of v**5/5 - v**3/3 + 33. Let a(z) = z**5 + 9*z**4 + 33*z**3 + 41*z**2 + 16*z. Let u(h) = 2*a(h) + 2*w(h). Factor u(y).
2*y*(y + 1)**2*(y + 4)**2
Solve -1/2*j - 1/4 - 1/4*j**2 = 0.
-1
Let b(u) = -2*u**4 - 22*u**3 + 42*u**2 - 22*u - 4. Let h(n) = n**4 - n**2 + n + 1. Let p(z) = b(z) + 4*h(z). Determine r, given that p(r) = 0.
0, 1, 9
Let h(b) be the first derivative of b**8/252 - b**6/45 + b**4/18 + 5*b**2/2 + 2. Let r(x) be the second derivative of h(x). Factor r(f).
4*f*(f - 1)**2*(f + 1)**2/3
Let s(y) be the second derivative of y**10/166320 - y**9/27720 + y**7/3465 - y**4 - 9*y. Let i(n) be the third derivative of s(n). Factor i(l).
2*l**2*(l - 2)**2*(l + 1)/11
Solve 4*o**2 - 56 + 7*o**2 - 78*o - 8*o**2 - 25 = 0.
-1, 27
What is d in 0 - 1/2*d**2 - 1/10*d**4 + 3/5*d**3 + 0*d = 0?
0, 1, 5
What is j in 13/2*j + 6 + 1/2*j**2 = 0?
-12, -1
Let l(x) be the third derivative of x**8/13440 + 3*x**7/1120 + x**5/10 + x**3/3 + 15*x**2 - 2. Let v(y) be the third derivative of l(y). Factor v(j).
3*j*(j + 9)/2
Solve -26*u**3 + 64*u**2 - 20*u**3 + 4*u**3 - 4*u**4 - 20*u**3 + 2*u**3 = 0 for u.
-16, 0, 1
Let m(i) be the third derivative of -32/3*i**3 + 2/15*i**6 + 0 - 8/3*i**4 + 2/105*i**7 + 9*i**2 + 0*i**5 + 0*i. Factor m(k).
4*(k - 2)*(k + 2)**3
Find o, given that 108*o + 259 - o**4 + 23*o**3 + 104*o**2 - 259 = 0.
-2, 0, 27
Let x(f) be the first derivative of -34/3*f**3 - 80*f**2 - 1/2*f**4 - 27 - 128*f. Factor x(c).
-2*(c + 1)*(c + 8)**2
Let o(q) be the second derivative of q**7/35 - q**6/40 - q**5/20 - 15*q**2/2 - 4*q. Let j(p) be the first derivative of o(p). Factor j(x).
3*x**2*(x - 1)*(2*x + 1)
Let f be 16296/10416 + (0 - (-8)/(-124)). Factor -f*d - 3/2*d**3 - 9 + 6*d**2.
-3*(d - 3)*(d - 2)*(d + 1)/2
Let a(w) = -w**3 - w**2 - w + 1. Let l be (8/(-12))/(4/6). Let b(h) = h**4 - h**3 - 3*h**2 - 3*h + 2. Let i(p) = l*b(p) + 2*a(p). Determine j so that i(j) = 0.
-1, 0, 1
Let m(y) = 18*y**3 - 40*y**2 - 89*y - 38. Let k(d) = 305 - 145*d**3 + 4*d**2 + 221*d**2 - 45*d**2 + 140*d**2 + 713*d. Let s(f) = -6*k(f) - 51*m(f). Factor s(u).
-3*(u - 4)*(4*u + 3)**2
Suppose 5*f = 7*f - 28. Suppose 4*a - 22 = -f. What is v in -1/3*v**3 - v - 1/3 - v**a = 0?
-1
Determine i so that -2/3*i**4 - 8*i + 28/3*i**2 - 26/3 + 8*i**3 = 0.
-1, 1, 13
Factor 3*a**2 + 24*a**3 - 82*a**3 + 24*a**3 - 39*a**2 + 31*a**3.
-3*a**2*(a + 12)
Let y(v) be the third derivative of -v**8/336 + v**7/56 - v**6/36 + v**3/3 + 7*v**2. Let o(i) be the first derivative of y(i). Suppose o(m) = 0. Calculate m.
0, 1, 2
Let t(q) = -q**2 - 30*q + 5. Let f be 6/(-4)*-20*(-6)/6. Let w be t(f). What is r in 2/17*r**2 - 2/17*r**3 + 0*r + 0 + 2/17*r**w - 2/17*r**4 = 0?
-1, 0, 1
Let z be (-9)/(-5) - ((-2)/10)/1. Factor -7*q - 4*q + 4*q**2 - 5*q + 12 + 0*q**z.
4*(q - 3)*(q - 1)
Let b(s) = s**4 + 2*s**3 - 3*s**2 - 14*s. Let g(j) = j**4 + j**3 - 2*j**2 - 12*j. Let y(k) = 6*b(k) - 7*g(k). Determine n so that y(n) = 0.
0, 1, 4
Let c(x) be the first derivative of -1/4*x**2 + 12 + x - 1/6*x**3. Factor c(v).
-(v - 1)*(v + 2)/2
Let c(i) = i + 0 + 2 - 2. Let y be c(0). Suppose n - 6 + 0*n + 2*n**2 - 5*n + y*n**2 = 0. What is n?
-1, 3
Let u(w) = -w**2 - w. Let i(h) = -6*h**2 - 10*h - 4. Let y(z) = 3*i(z) + 3*u(z). Factor y(t).
-3*(t + 1)*(7*t + 4)
Let k = -305 - -91. Let i = -212 - k. What is n in -4/3*n + 1/3*n**4 - 4/3*n**3 + i*n**2 + 1/3 = 0?
1
Let x = 2137 - 2137. Let b(h) be the first derivative of 5/3*h**3 - 5/4*h**4 + x*h**2 + 4 + 0*h. Let b(c) = 0. What is c?
0, 1
Let x be (-6)/3 + 4 - 8/(0 - -4). Factor 0 + 0*z**4 - 1/7*z**5 - 1/7*z + 2/7*z**3 + x*z**2.
-z*(z - 1)**2*(z + 1)**2/7
Let d be 10*(-4)/24*-3. Factor -2*q**5 + 17*q**3 - 9*q**3 - 6*q**4 + 0*q**d - 12*q**3.
-2*q**3*(q + 1)*(q + 2)
Let g = 1572/5 - 312. Let y(m) be the first derivative of -1 + 201/20*m**4 + g*m - 23/5*m**3 + 357/25*m**5 - 24/5*m**2 + 49/10*m**6. Find d such that y(d) = 0.
-1, 2/7
Solve -177*p**4 + 1397 + 901*p**3 - 73*p**3 + 3*p**5 - 205*p - 437*p - 30*p - 101 - 960*p**2 = 0.
-1, 2, 54
Let i(t) = 45 + 21 + 2*t + 10*t - 5*t. Let w be i(-9). Factor 4/13 - 10/13*m - 2/13*m**w + 8/13*m**2.
-2*(m - 2)*(m - 1)**2/13
Let j = -14191/21 + 2005/3. Let z = -7 - j. Let -15/7*y + 6/7 + 12/7*y**2 - z*y**3 = 0. What is y?
1, 2
Let i(u) be the first derivative of -23*u**6/2 - 54*u**5 - 321*u**4/4 - 36*u**3 + 6*u**2 - 150. Suppose i(a) = 0. Calculate a.
-2, -1, 0, 2/23
Let x(m) = -4*m**2 - 13*m - 18. Let t(q) = q**2 + 3*q + 4. Let s(z) = -18*t(z) - 4*x(z). Factor s(g).
-2*g*(g + 1)
Let w(d) be the first derivative of -d**4/5 - 32*d**3/15 + 353. Suppose w(b) = 0. What is b?
-8, 0
Let a(q) = -q**2 + q + 4. Let x be a(2). Suppose 3*b - d - 9 = b, 4*d = -x*b - 16. Suppose b*f + 35*f**3 - 36*f**3 - 2*f = 0. Calculate f.
0
Suppose -5*d + 25 = 0, -j + 2*d - 23 = -3*d. Let w = 40 - 36. Factor -1 + 1/2*m**w - 5/2*m + 1/2*m**3 - 3/2*m**j.
(m - 2)*(m + 1)**3/2
Let u(h) be the third derivative of 34*h**2 + 0*h**3 + 0 - 1/1680*h**8 - 1/40*h**6 + 0*h**4 + 3/350*h**7 + 0*h - 1/12*h**5. Factor u(w).
-w**2*(w - 5)**2*(w + 1)/5
Let t(a) be the second derivative of -5*a**4/2 - 5*a**3/3 - 5*a**2/2 - 25*a. Let j(z) = -z**2. Let i(c) = -25*j(c) + t(c). Factor i(d).
-5*(d + 1)**2
Let v = 18 - 17. Let z(w) = 19*w + 1. Let x be z(v). Factor 1 - x*k**2 + 5*k**3 + 15*k + 4 - 5.
5*k*(k - 3)*(k - 1)
Let r(p) = p + 26. Let q be r(-24). Let y(h) be the third derivative of 0 - 1/30*h**5 - 7/36*h**4 + 0*h - 2/9*h**3 - 2*h**q. Factor y(a).
-2*(a + 2)*(3*a + 1)/3
Let j(n) = -n**3 - 5*n**2 - 2*n - 4. Let p be j(-4). Let v be 0 - 3/p*2. Factor l - l**3 - 1/2*l**4 + 0*l**2 + v.
-(l - 1)*(l + 1)**3/2
Suppose 87 = 4*d - 4*j - 61, -j = 4*d - 143. Let -24*w**2 + 8*w**3 - 13*w**3 - 16 + 9*w**3 + d*w = 0. What is w?
1, 4
Let r(z) be the third derivative of 2 + 1/330*z**5 + 4/33*z**3 - 40*z**2 - 1/33*z**4 + 0*z. Let r(o) = 0. Calculate o.
2
Let 88*n**3 + 173*n**4 + 166*n**4 - 343*n**4 = 0. Calculate n.
0, 22
Let p(j) be the first derivative of 2*j**3/3 + 40*j**2 + 126. Factor p(k).
2*k*(k + 40)
Suppose 0 = -3*l - 12, 4*b - 5*l = -b + 240. Suppose 64 - b = 5*c. Suppose 0 + 2*s**3 - 1/2*s**2 - 3/2*s**c + 0*s = 0. Calculate s.
0, 1/3, 1
Let i(d) be the third derivative of -d**9/30240 - d**8/2016 - d**7/315 - d**6/90 - d**5/3 - 16*d**2. Let w(t) be the third derivative of i(t). Factor w(z).
-2*(z + 1)*(z + 2)**2
Let a be 8/20 - (-3136)/10. Suppose 5*r + 84 - a = 0. Factor 19*l**3 + 13*l**3 + r*l - 13*l + l**5 - 9 - 9*l**4 - 46*l**2 - 2*l**3.
(l - 3)**2*(l - 1)**3
Let k(y) be the third derivative of -y**6/120 - y**5/60 + 31*y**2. Let w(m) = m**3 + m**2. Let o(g) = -k(g) - 2*w(g). Factor o(r).
-r**2*(r + 1)
Let l(t) be the second derivative of t**7/210 - t**6/30 + t**5/10 - t**4/6 + t**3/6 + t**2/2 + 9*t. Let q(f) be the first derivative of l(f). Factor q(v).
(v - 1)**4
Let w(c) be the second derivative of 10*c**7/21 + 77*c**6/30 + 23*c**5/10 - 17*c**4/12 - c**3 + 283*c. Determine v, given that w(v) = 0.
-3, -1, -1/4, 0, 2/5
Let d(l) = -5*l**4 - 77*l**3 - 173*l**2 - 151*l - 50. Let w(s) = 30*s**4 + 465*s**3 + 1040*s**2 + 905*s + 300. Let j(h) = -25*d(h) - 4*w(h). Solve j(z) = 0.
-10, -1
Suppose k = -o + 38, 2*k - 4*o - 57 = 1. Let w = -31 + k. Factor -2/9*q**5 + 4/9*q**3 + 2/9*q**w + 2/9 - 2/9*q - 4/9*q**2.
-2*(q - 1)**3*(q + 1)**2/9
Let q(b) be the second derivative of -1/120*b**6 + 0 - 4*b + 0*b**4 + 0*b**2 - 1/40*b**5 - 5/6*b**3. Let s(p) be the second derivative of q(p). Factor s(x).
-3*x*(x + 1)
Let n be 14 - 9/(-3) - 3/(-1). Suppose -n*r + 24*r = 8. Factor 0*p - 1/4*p**r + 0.
-p**2/4
Let w(z) be the first derivative of -13 - 4/9*z**3 + 4/3*z - 1/2*z**4 + z**2. Factor w(x).
-2*(x - 1)*(x + 1)*(3*x + 2)/3
Factor -9*b**2 - 41*b**3 + 20*b**3 + 13*b**2 + 19*b + 9 + 7*b**2 + 22*b**3.
(b + 1)**2*(b + 9)
Let m(r) be the second derivative of -r**5/60 - r**4/9 + 14*r**3/9 - 16*r**2/3 - 11*r + 26. Find s such that m(s) = 0.
-8, 