be r(0). Solve -16/3*u**4 - 4*u + 0 + 8/3*u**s + 16/3*u**2 + 4/3*u**5 = 0 for u.
-1, 0, 1, 3
Let r(g) be the first derivative of -1/2*g**4 + 0*g**2 + 1 + 0*g + 2/3*g**3 + 1/3*g**6 - 2/5*g**5. Suppose r(i) = 0. What is i?
-1, 0, 1
Let t be (-1 - 7)*50/(-8). Let x be (-15)/(-5) + t - 0. Suppose -x*b**2 + 0 + 111*b**3 - 60*b**4 + 12*b**5 + 27*b - 37*b**2 + 0 = 0. What is b?
0, 1, 3/2
Let u(i) be the first derivative of -i**4/2 - 5*i**2 - 1. Let w(r) = 24*r**3 - 4*r - 14*r**3 - 11*r**3 + 3*r. Let g(b) = u(b) - 6*w(b). Solve g(y) = 0.
-1, 0, 1
Let m(g) be the first derivative of -3*g**5/25 + 9*g**4/5 - 9*g**3 + 81*g**2/5 - 514. Factor m(y).
-3*y*(y - 6)*(y - 3)**2/5
Factor 4/7*y**2 + 0*y - 16/7.
4*(y - 2)*(y + 2)/7
Let h(u) be the second derivative of -2*u**6/105 + 5*u**4/7 + 20*u**3/21 - 48*u**2/7 + 85*u. Find j such that h(j) = 0.
-3, -2, 1, 4
Factor -320000/7 - 2/7*j**4 - 64000/7*j - 4800/7*j**2 - 160/7*j**3.
-2*(j + 20)**4/7
Let x = 3 + -1. Suppose 0*l + 13 = t + 5*l, 2*l - 10 = -x*t. Find j, given that 10*j**2 + 15*j**3 + 0*j**2 - 27*j + t*j**4 - j**2 = 0.
-3, 0, 1
Let w(f) be the second derivative of 1/4*f**5 + 0*f**3 + 10*f**2 + 0 - 5/4*f**4 + 7*f. Let w(i) = 0. Calculate i.
-1, 2
Let s(i) be the third derivative of i**8/20160 + i**7/504 - 43*i**5/60 + 14*i**2. Let g(f) be the third derivative of s(f). Factor g(r).
r*(r + 10)
Let 3*i**4 - 20 + 26*i + 38*i**3 - 138*i + 95 - 14*i**3 - 8*i + 18*i**2 = 0. Calculate i.
-5, 1
Let f(r) be the third derivative of r**6/60 - r**5/6 + r**4/2 + 141*r**2. Let f(k) = 0. What is k?
0, 2, 3
Let g(b) be the third derivative of -b**8/756 - 58*b**7/945 - 169*b**6/270 - 113*b**5/45 - 11*b**4/3 + 668*b**2. Let g(h) = 0. What is h?
-22, -3, -1, 0
Let p(u) be the second derivative of -5*u**4/12 - 575*u**3/3 - 66125*u**2/2 - 22*u - 7. Factor p(i).
-5*(i + 115)**2
Factor -2/9*t**3 - 10/3*t + 14/9*t**2 + 2.
-2*(t - 3)**2*(t - 1)/9
Let l(u) be the third derivative of 0 + 0*u + 1/10*u**6 + 2/15*u**5 - 2/3*u**4 - 7*u**2 + 1/168*u**8 + 0*u**3 - 1/21*u**7. Factor l(r).
2*r*(r - 2)**3*(r + 1)
Factor 1376*q + 374 + 36*q**4 + 2*q**5 + 28*q**4 + 3*q**5 + 13*q**4 + 450*q**3 + 10 + 1208*q**2.
(q + 3)*(q + 4)**3*(5*q + 2)
Let z be ((-30)/325)/((-99)/165). Let o be 0 + 1 - 2/(-26). What is y in o*y**4 + 0 - 4/13*y**5 + 10/13*y**2 - 18/13*y**3 - z*y = 0?
0, 1/2, 1
Let o(z) be the first derivative of z**4/5 + 4*z**3/15 - 16*z**2/5 - 48*z/5 + 33. Factor o(w).
4*(w - 3)*(w + 2)**2/5
Let f(u) = u**3 - 2 + 0*u**2 + 4*u**2 - 5*u**2. Let q be f(3). Factor h**2 + q*h**3 - 3*h**2 - 13*h**3 - h**2.
3*h**2*(h - 1)
Let s(p) = 3*p - 10. Let a(r) = -4*r + 11. Let o(g) = -5*a(g) - 6*s(g). Let j be o(0). Factor 0*x + j*x**2 + 6*x + 12 - 3 - 4*x**2.
(x + 3)**2
Let n(o) be the first derivative of -o**5/35 - 3*o**4/7 - 22*o**3/21 + 6*o**2 - 7*o + 95. Factor n(b).
-(b - 1)**2*(b + 7)**2/7
Let q(v) = -4*v**2 + 93*v - 579. Let t(c) = -44*c**2 + 1024*c - 6368. Let i(l) = 32*q(l) - 3*t(l). Suppose i(g) = 0. What is g?
12
Let r(g) be the third derivative of 0 + 5/6*g**3 + 8*g**2 + 1/42*g**7 - 1/6*g**6 + 0*g + 1/2*g**5 - 5/6*g**4. Factor r(t).
5*(t - 1)**4
Let n(t) = -49*t**3 - 88*t**2 - 21*t + 10. Let k(r) = -146*r**3 - 262*r**2 - 64*r + 30. Let h(z) = -4*k(z) + 11*n(z). Factor h(q).
5*(q + 1)**2*(9*q - 2)
Let h = -40 + 46. Let n be (-6)/27*h/(-4)*2. Find j, given that 4/9 + 2/9*j**3 + 2/9*j**4 - n*j**2 - 2/9*j = 0.
-2, -1, 1
Let u(s) = -13*s**2 + 9*s - 50. Let q(n) = 11*n**2 - 10*n + 49. Let w(v) = -6*q(v) - 5*u(v). Solve w(a) = 0 for a.
4, 11
Let a(n) = 3*n**2 + n + 16. Let s be a(0). Determine r, given that -2*r**2 - 14*r + 20*r - s*r = 0.
-5, 0
Let m(r) be the third derivative of r**5/270 + 10*r**4/27 + 13*r**3/9 - 126*r**2. Factor m(s).
2*(s + 1)*(s + 39)/9
Determine y so that 2/3*y**2 + 1058/3 + 92/3*y = 0.
-23
Solve 254/9*x + 62/3 + 70/9*x**2 + 2/9*x**3 = 0 for x.
-31, -3, -1
Factor 9 + 32*u**2 - 15 + 39*u + 6 - 2*u**3 - 5*u.
-2*u*(u - 17)*(u + 1)
Suppose -4*k + 9 = 1. Let -51*u + 8*u**k + 4*u**3 + 51*u = 0. What is u?
-2, 0
Determine p so that -20/3 - 14/3*p + 2*p**2 = 0.
-1, 10/3
Suppose -11*w + 7*w = -12. Solve 33*d**w + 27*d + 4*d**4 + 15*d**2 + 8*d**4 - 33*d = 0.
-2, -1, 0, 1/4
Let f(n) be the second derivative of 1/48*n**4 - 2/3*n**3 + 0 + 17*n + 8*n**2. Suppose f(h) = 0. Calculate h.
8
Let b(l) be the first derivative of -l**4/4 - 19*l**3/3 - 9*l**2 - 84. Let b(m) = 0. What is m?
-18, -1, 0
Let v(c) be the second derivative of 5/3*c**3 - 5/42*c**7 + 0*c**2 + 25/12*c**4 + 0 + 2*c - 1/6*c**6 + 3/4*c**5. Suppose v(h) = 0. Calculate h.
-1, 0, 2
Let q = -24 + 27. Let c(a) be the third derivative of -1/180*a**5 + 1/360*a**6 + 0*a + 0 + a**2 + 1/18*a**q - 1/72*a**4. Find j such that c(j) = 0.
-1, 1
Let s(v) be the first derivative of 1/6*v**2 - 2 - 1/12*v**4 - 4/9*v**3 + 4/3*v. Factor s(z).
-(z - 1)*(z + 1)*(z + 4)/3
Let h(l) = 3*l**2 - l + 1. Let m(b) = 5*b**2 - 28*b + 2. Let o(q) = 2*h(q) - m(q). Let o(y) = 0. Calculate y.
-26, 0
Let h(z) be the second derivative of -8*z - 9/16*z**2 - 1/32*z**4 + 1/4*z**3 + 0. Solve h(l) = 0.
1, 3
Suppose 3*d = -12, -j + 66 = -0*j + d. Let a = j - 70. Determine r, given that 1/3*r**2 + a*r - 1/3*r**4 + 0 - 1/3*r**5 + 1/3*r**3 = 0.
-1, 0, 1
Let b(w) be the third derivative of w**7/560 - 23*w**6/160 + 573*w**5/160 - 253*w**4/16 + 121*w**3/4 - 2*w**2. Factor b(n).
3*(n - 22)**2*(n - 1)**2/8
Let p(u) be the third derivative of -u**5/180 - 2*u**4/9 + 19*u**3/6 + 337*u**2. Factor p(z).
-(z - 3)*(z + 19)/3
Let d = 16 - 5. Suppose d = 3*u + 5. Factor -2 - u - 6*l - 2*l**2 + 0.
-2*(l + 1)*(l + 2)
Let j be (-8)/28 + (-31)/(-70)*2. Factor j*t**2 + 3/5 + 2*t.
(t + 3)*(3*t + 1)/5
Let k(c) be the second derivative of 1/80*c**5 + 6*c + 0 - 1/40*c**6 + 0*c**3 + 0*c**4 + 0*c**2. Factor k(h).
-h**3*(3*h - 1)/4
Let c be (62 - 54) + -8 - 2*6/(-4). Suppose q - q**c - 1/2*q**2 + 0 + 1/2*q**4 = 0. Calculate q.
-1, 0, 1, 2
Let b = -12/737 - 53004/3685. Let i = 266/15 + b. Factor 8/3 + 16/3*k + i*k**2 + 2/3*k**3.
2*(k + 1)*(k + 2)**2/3
Let a(f) be the first derivative of 2*f**5/105 + 19*f**4/42 + 34*f**3/9 + 35*f**2/3 + 114. Factor a(n).
2*n*(n + 5)*(n + 7)**2/21
Let m(o) be the first derivative of 2*o**6/3 - 76*o**5/5 + 142*o**4 - 696*o**3 + 1890*o**2 - 2700*o + 694. Solve m(p) = 0 for p.
3, 5
Let k(o) be the first derivative of -4*o**3 + 12*o**2 + 8*o - o**2 - o**2 + 28. Factor k(j).
-4*(j - 2)*(3*j + 1)
Let r be (-2)/5 + 248/20. Find n, given that -361*n + 8*n**4 + 345*n + n**2 + 4*n**5 - r*n**3 - 33*n**2 = 0.
-2, -1, 0, 2
Let g be (9 - 51/6)*(-1)/(-4). Let n(c) be the second derivative of g*c**2 + 0 - 1/48*c**4 + 2*c + 0*c**3. Factor n(f).
-(f - 1)*(f + 1)/4
Let l be 4/(-4 + 6) - 3/(-1). Factor -3*k**l + 4508*k**3 - 2*k**2 + 5*k**5 - 4511*k**3 + 3*k**4.
k**2*(k - 1)*(k + 2)*(2*k + 1)
Let -23*z + 24*z**2 - 23*z - 2*z**4 - 2*z**3 - 2*z**3 + 22 + 18*z - 12 = 0. Calculate z.
-5, 1
Let f be (1 - 5)*11/12*-3. Factor f*m**2 + 5 + 3*m**2 + 4*m**2 - 3*m**2 - 20*m.
5*(m - 1)*(3*m - 1)
Let m(o) be the third derivative of o**7/105 - o**6/60 - o**5/15 + 5*o**4/4 + 3*o**3 + 6*o**2. Let i(p) = -p**3 - p. Let n(a) = 12*i(a) + 2*m(a). Factor n(d).
4*(d - 3)**2*(d + 1)**2
Let w(c) be the first derivative of -c**4/5 + 244*c**3/15 + 65. Factor w(y).
-4*y**2*(y - 61)/5
Let z = -4 - 2. Let u be (34/6)/((-2)/z). Factor -7*l + u*l**2 + l**2 - 3*l**3 - 20*l.
-3*l*(l - 3)**2
Let x(u) be the second derivative of -3*u**5/20 + 3*u**4/4 + 2*u + 20. Suppose x(j) = 0. What is j?
0, 3
Factor 0 - 15/4*s**5 - 3/4*s**2 - 9/4*s**3 + 27/4*s**4 + 0*s.
-3*s**2*(s - 1)**2*(5*s + 1)/4
Let p(h) be the second derivative of -10*h + 0*h**2 + 1/36*h**4 + 0 - 1/6*h**3. Factor p(l).
l*(l - 3)/3
Factor -5/3*c**2 - 410/3 + 215/3*c.
-5*(c - 41)*(c - 2)/3
Let n = -35731/3 - -11915. Suppose -n*k**2 + 0 + 8/3*k**3 - 4/3*k = 0. What is k?
-1/4, 0, 2
Let k(d) be the third derivative of -11/12*d**4 + 0 + 0*d - 7/30*d**5 - 1/60*d**6 + 35*d**2 - 5/3*d**3. Let k(o) = 0. Calculate o.
-5, -1
Let w(r) be the second derivative of 5*r**7/42 - 31*r**6/6 + 283*r**5/4 - 3365*r**4/12 + 1540*r**3/3 - 490*r**2 + 4*r - 6. Let w(j) = 0. Calculate j.
1, 14
What is j in 3136/19 + 11200/19*j + 14/19*j**3 + 788/19*j**2 = 0?
-28, -2/7
Let w = -8 - -10. Factor 30*b**w + 6 + 36*b - 16*b - 75*b**3 + 19*b.
-3*