2 - 4*v. Let x(m) = -m**4 - m**3 - 3*m**2 - m. Let w(z) = 5*f(z) - 20*x(z). Let w(d) = 0. Calculate d.
0, 1
Let h**5 - 17*h**3 - 6*h**3 + 5*h**3 + 2*h**5 + 12*h**4 - 12*h**2 + 15*h = 0. What is h?
-5, -1, 0, 1
Find l such that 69*l**4 + 349*l**3 + 139*l**4 + 190*l**3 - 51*l**3 - 4 + 141*l**2 - 8*l + 0 = 0.
-2, -1/4, 2/13
Suppose 0*l + 4 = 2*l. Suppose 4*g + 18 = u, -3*u + l*g + 22 = 8. Factor -8*p - 36*p**2 - 140*p**4 - 138*p**3 - 50*p**5 + 24*p**2 - 44*p**u.
-2*p*(p + 1)**2*(5*p + 2)**2
Let y(m) = 6*m**3 + 10*m**2 + m - 3. Let g(h) = h**3 + h**2. Let w be 2/13 + 481/169. Let b(k) = w*y(k) - 21*g(k). Determine s so that b(s) = 0.
-1, 1, 3
Let a(o) be the third derivative of o**7/630 - o**6/135 + o**3 + o**2. Let t(y) be the first derivative of a(y). Solve t(w) = 0 for w.
0, 2
Let m(u) be the third derivative of u**6/2160 + u**5/72 + 25*u**4/144 + 17*u**3/6 + 10*u**2. Let a(h) be the first derivative of m(h). Factor a(o).
(o + 5)**2/6
Let g(n) be the first derivative of -n**9/15120 - n**8/1680 - n**7/700 + 2*n**3/3 - 3. Let c(q) be the third derivative of g(q). Let c(r) = 0. What is r?
-3, -2, 0
Let q(i) = -i**4 - 139*i**3 - 1157*i**2 - 3072*i - 5. Let f(d) = d**4 + 70*d**3 + 578*d**2 + 1536*d + 2. Let s(o) = -5*f(o) - 2*q(o). Factor s(v).
-3*v*(v + 8)**3
Suppose -4*w = -z - 121 - 115, 0 = -w - z + 54. Let v be w/18 - (-4)/(-18). Find m such that 0*m + 0*m**v + 2/11*m**4 - 2/11*m**5 + 0*m**2 + 0 = 0.
0, 1
Factor 2/11*s**4 - 108/11 - 14/11*s**3 + 54/11*s + 18/11*s**2.
2*(s - 3)**3*(s + 2)/11
Determine a so that 1/7*a**5 + 4*a + 8/7*a**4 + 8/7 + 25/7*a**3 + 38/7*a**2 = 0.
-2, -1
Let c(z) = -z + 4. Let y be c(-6). Suppose 0 = 8*k - 3*k - y. Factor -6*b**2 + b + 3*b**k - 7*b + 3*b**3.
3*b*(b - 2)*(b + 1)
Let w(x) be the second derivative of x**6/1260 - 2*x**5/105 + 4*x**4/21 + x**3/2 + 2*x. Let l(f) be the second derivative of w(f). Let l(n) = 0. Calculate n.
4
Let o(r) be the third derivative of r**7/105 + r**6/20 - 7*r**5/30 - 5*r**4/4 + 6*r**3 - 54*r**2. Let o(i) = 0. Calculate i.
-3, 1, 2
Let v(q) be the third derivative of -25/96*q**4 + 0*q + 1/24*q**5 + 0*q**3 + 0 - 1/480*q**6 + 13*q**2. Let v(r) = 0. What is r?
0, 5
Solve -8/3*p**3 + 98/3*p**2 - 56/3 + 200/3*p = 0 for p.
-2, 1/4, 14
Let g be 17 + -9 + 5 + 2. Suppose g*k**2 - 9/2*k - 3/2 = 0. Calculate k.
-1/5, 1/2
Let w be 4 + 330/9 + (-2)/(-6). Factor 3*g**2 - 4*g - w + 38 - 4*g**2.
-(g + 1)*(g + 3)
Suppose n - 5*n + 16 = c, 5 = 5*c + 5*n. Let h be (1/6)/(5 + c + 0). Determine w, given that 1/3 + h*w - 1/6*w**2 = 0.
-1, 2
Factor -27/2*k - 9*k**2 - 3/2*k**3 - 6.
-3*(k + 1)**2*(k + 4)/2
Let s(v) = -v**3 - v**2 + 1. Let b(y) = -2*y**3 - 18*y**2 + 75*y - 14. Let g(f) = b(f) - 3*s(f). Let k(c) be the first derivative of g(c). Factor k(n).
3*(n - 5)**2
Find h, given that 11/5*h**3 - 24/5*h**2 + 3/5*h**4 - 4*h + 0 = 0.
-5, -2/3, 0, 2
Solve -54/7 - 90/7*x + 78/7*x**2 - 2*x**3 = 0 for x.
-3/7, 3
Let n(r) be the third derivative of -r**5/60 - r**4/8 - 2*r**2 - 177. Factor n(g).
-g*(g + 3)
Let m(h) be the second derivative of -1/14*h**4 + 0*h**3 + 1/105*h**6 + 1/35*h**5 + 0 + 36*h + 0*h**2. Determine z, given that m(z) = 0.
-3, 0, 1
Solve 0*x**4 - 15*x**4 - 30*x**4 + 211*x**3 - 22*x**3 - 147*x**2 + 3*x**5 = 0 for x.
0, 1, 7
Let p be (-6 - (-910)/156)/((-3)/14). Factor 8/9*i - p*i**2 + 4/9 - 5/9*i**3.
-(i - 1)*(i + 2)*(5*i + 2)/9
Let z(n) = 2*n**2 + 30*n + 54. Let d(t) = -2*t**2 - 32*t - 54. Let q(y) = -3*d(y) - 4*z(y). Solve q(j) = 0 for j.
-9, -3
Let j(y) be the second derivative of -33*y + 0*y**2 - 2/21*y**7 + 13/45*y**6 + 0 - 3/10*y**5 + 0*y**3 + 1/9*y**4. What is m in j(m) = 0?
0, 1/2, 2/3, 1
Factor 8/11*r**3 - 60/11*r + 0 + 238/11*r**2.
2*r*(r + 30)*(4*r - 1)/11
Suppose 0 = 15*y - 17*y + 4. Solve 384*u**3 + 6*u + 3*u**y + 15*u**2 + 768*u**4 + 62*u**2 + 512*u**5 = 0 for u.
-3/4, -1/4, 0
Let f(a) be the third derivative of 0 - 9*a**2 + 0*a + 0*a**4 - 1/90*a**5 + 0*a**6 + 1/630*a**7 + 1/18*a**3. Factor f(x).
(x - 1)**2*(x + 1)**2/3
Let b(w) be the second derivative of 1/75*w**6 - 3/50*w**5 + 1/5*w**3 - 2/5*w**2 + 0 - 8*w + 1/30*w**4. Factor b(j).
2*(j - 2)*(j - 1)**2*(j + 1)/5
Let k(a) be the second derivative of 0 - 45/2*a**2 - 245/12*a**4 - 17*a + 35*a**3. Factor k(h).
-5*(7*h - 3)**2
Let b(p) = 8*p**3 - 14*p**2 - 20*p + 44. Let o(y) = 21*y**3 - 27*y**2 - 39*y + 90. Let x(n) = -5*b(n) + 2*o(n). Determine i so that x(i) = 0.
-5, -4, 1
Suppose 2*m = 4*o + 6, 0*m + m = -o + 3. Suppose -3*j = 3*j - 18. Find z such that -6*z + z**j - 9*z**3 - 4*z**m - 21*z**2 - 3*z**3 = 0.
-1, -2/5, 0
Let f(i) be the second derivative of -i**5/20 - 5*i**4/6 + 23*i**3/6 - 6*i**2 - 3*i + 18. Factor f(x).
-(x - 1)**2*(x + 12)
Let m(d) be the second derivative of -d**7/42 - 3*d**6/10 - 7*d**5/20 + 3*d**4/4 + 4*d**3/3 - 2*d - 43. Factor m(u).
-u*(u - 1)*(u + 1)**2*(u + 8)
Let a(q) be the first derivative of q**6/120 - q**5/80 - q**4/8 + 13*q - 35. Let g(m) be the first derivative of a(m). Factor g(s).
s**2*(s - 3)*(s + 2)/4
Let q(o) be the first derivative of -o**4/7 + 4*o**3/3 + 16*o**2/7 + 114. Factor q(t).
-4*t*(t - 8)*(t + 1)/7
Let l(z) be the first derivative of z**4/24 + 5*z**3/18 + 2*z**2/3 + 2*z/3 - 62. Solve l(o) = 0.
-2, -1
Let p(l) = -l**3 + l. Let z(u) = -15*u**3 + 5*u**3 - 4544*u**2 + 8*u + 2*u**4 + 4540*u**2. Let i(n) = -8*p(n) + z(n). Factor i(g).
2*g**2*(g - 2)*(g + 1)
Factor -13/7*l**2 + 2/7*l**3 - 26/7*l + 16/7.
(l - 8)*(l + 2)*(2*l - 1)/7
Let u(y) be the first derivative of -2*y**5/35 - 3*y**4/14 + 10*y**3/7 - 17*y**2/7 + 12*y/7 - 70. Suppose u(s) = 0. Calculate s.
-6, 1
Let s = -450 - -458. Let t(x) be the third derivative of 0*x**5 + 0 + 0*x**3 + 8*x**2 - 1/112*x**s + 0*x**7 + 1/20*x**6 + 0*x - 1/8*x**4. Solve t(k) = 0 for k.
-1, 0, 1
Factor 3*m**2 - 245*m + 5*m**3 + 198 + 50*m - 33 - 2*m**3 + 24.
3*(m - 7)*(m - 1)*(m + 9)
Let m(w) be the second derivative of -w**7/147 + w**6/15 - w**5/10 - 23*w**4/42 + 8*w**3/21 + 16*w**2/7 - 42*w. Find k, given that m(k) = 0.
-1, 1, 4
Let c(l) be the second derivative of -l**7/42 + l**6/6 - 3*l**5/10 - l**4/3 + 4*l**3/3 - 42*l. Factor c(k).
-k*(k - 2)**3*(k + 1)
Let d(p) be the third derivative of -1/56*p**4 + 0*p**3 + 0 + 0*p + p**2 + 13/420*p**5 + 1/490*p**7 - 13/840*p**6. Find h such that d(h) = 0.
0, 1/3, 1, 3
Suppose -190 - 50 = -4*k. Let v be (48/k)/((-1)/(-10)). Solve 2*l**3 + 8*l**2 - 9 + 0*l**2 + 6*l - v*l**3 + l**4 = 0 for l.
-1, 1, 3
Let q(y) be the third derivative of 0*y**3 + 5*y**2 + 1/300*y**6 - 1/840*y**8 - 1/525*y**7 + 1/150*y**5 + 0*y**4 + 0 + 0*y. Determine s so that q(s) = 0.
-1, 0, 1
Suppose 95*h = 89*h + 30. Let z(o) be the third derivative of -1/80*o**5 + 0 - 1/160*o**6 - h*o**2 + 0*o + 1/8*o**3 + 1/32*o**4. Factor z(y).
-3*(y - 1)*(y + 1)**2/4
Let a(q) be the third derivative of q**6/540 + 13*q**5/270 - q**2 - 11*q. Determine h so that a(h) = 0.
-13, 0
Let j(l) be the third derivative of -l**8/6720 - l**7/140 - 3*l**6/20 + l**5/10 + 6*l**2. Let i(y) be the third derivative of j(y). Factor i(v).
-3*(v + 6)**2
Let x(s) be the third derivative of 0 + s**2 - 1/120*s**5 - 1/3*s**3 + 1/12*s**4 + 0*s. Factor x(p).
-(p - 2)**2/2
Let p = -27 + 27. Let f be 2/(-3)*(2 + -6 + 1). Solve p + 1/2*a + 1/2*a**f = 0 for a.
-1, 0
Determine p so that 2/9*p**4 + 8*p - 72 - 8*p**3 + 646/9*p**2 = 0.
-1, 1, 18
Let v(x) be the second derivative of 7*x + 0*x**2 + 0*x**3 + 1/210*x**7 + 1/150*x**6 + 0 - 1/60*x**4 - 1/100*x**5. Suppose v(c) = 0. What is c?
-1, 0, 1
Let r = 152 + -149. Find u, given that -1/4*u + 0*u**2 - 1/2*u**4 + 3/4*u**r + 0 = 0.
-1/2, 0, 1
Factor 13/4*v + 3/2 + 7/4*v**2.
(v + 1)*(7*v + 6)/4
Let v(w) be the first derivative of 0*w + 1/15*w**6 - 8/25*w**5 - 1/5*w**4 - 6 + 8/5*w**3 + 9/5*w**2. Factor v(b).
2*b*(b - 3)**2*(b + 1)**2/5
Let h(n) be the third derivative of 5/84*n**4 + 0 + 15*n**2 + 0*n + 1/420*n**6 + 2/105*n**5 + 2/21*n**3. Factor h(x).
2*(x + 1)**2*(x + 2)/7
Let q = -33224 + 33228. Solve 4/5*w**2 - 4/5*w**5 + 4/5*w**3 + 0*w - 4/5*w**q + 0 = 0 for w.
-1, 0, 1
Let t(h) be the third derivative of h**9/241920 + h**8/26880 + 2*h**5/15 - 10*h**2. Let k(l) be the third derivative of t(l). Factor k(j).
j**2*(j + 3)/4
Let x(q) be the third derivative of q**4/12 + 13*q**3/6 + 3*q**2. Let c be x(-5). Determine h so that -h**c + 74*h**2 - 73*h**2 +