he second derivative of -d**4/6 + 20*d**3/3 - 100*d**2 - 84*d. Factor q(r).
-2*(r - 10)**2
Suppose -4*z + 7*z = 12. Suppose 0 = -w + 3*n + 9, -n + z - 6 = 0. Factor 0*o**2 + 2/3 + 1/3*o**w - o.
(o - 1)**2*(o + 2)/3
Let l be ((16/30)/(-2))/(188/(-470)). Factor -l*i**3 + 0 + 8/3*i**2 - 8/3*i.
-2*i*(i - 2)**2/3
Let j(d) be the third derivative of -d**6/360 - d**5/90 + 5*d**4/18 - 4*d**3/3 + 2*d**2 - 23*d. Factor j(t).
-(t - 2)**2*(t + 6)/3
Let q(k) be the first derivative of 2*k**4 + 50*k**3/3 + 52*k**2 + 72*k - 652. Solve q(g) = 0.
-9/4, -2
Factor 1/3*t**5 + 0 + 8/3*t**4 + 6*t**3 - 9*t + 0*t**2.
t*(t - 1)*(t + 3)**3/3
Let s(g) = 3*g**2 + 3. Let m(b) = 8*b**2 + 8. Let d(q) = -4*m(q) + 11*s(q). Let l(t) = 5*t**2 - 12*t + 2. Let u(x) = 2*d(x) - l(x). Factor u(r).
-3*r*(r - 4)
Suppose 155*l = -5*h + 156*l, -5*h = -3*l. Factor h*s + 0 + 0*s**3 + 1/3*s**4 - 1/3*s**2.
s**2*(s - 1)*(s + 1)/3
Let u = 219/209 - 13/19. Suppose -14*i = 3*z - 19*i + 4, 2*i + 4 = 4*z. Suppose -10/11*x + 10/11*x**3 + 0*x**z - u*x**4 + 4/11 = 0. Calculate x.
-1, 1/2, 1, 2
Suppose -4*y = -8*y + 48. Let x = y + -10. Suppose 68*o**5 - o - x + 2*o**3 - o**4 - 69*o**5 + 4*o**2 - o**4 = 0. What is o?
-2, -1, 1
Suppose -2*r - 3*r = -2*k - 544, 0 = -4*r + 3*k + 431. Let 15 - 75*w + r - 45*w**2 - 7*w**3 + 2*w**3 = 0. Calculate w.
-5, 1
Let w(k) be the second derivative of -k**9/7560 + k**8/840 - k**7/420 - 5*k**4/6 - 13*k. Let v(g) be the third derivative of w(g). Factor v(q).
-2*q**2*(q - 3)*(q - 1)
Let c be ((-18)/(-27))/(16/9 - (-76)/(-342)). Determine u, given that -4/7*u**4 + c*u**3 + 4/7*u**2 + 0 - 3/7*u = 0.
-1, 0, 3/4, 1
Let z(w) be the first derivative of 4*w - 10 - 1/3*w**3 - 3/2*w**2. Factor z(v).
-(v - 1)*(v + 4)
Let x(u) be the second derivative of u**5/5 - 7*u**4/3 + 10*u**3 - 18*u**2 + 48*u. Determine c so that x(c) = 0.
1, 3
Let i(f) be the third derivative of -f**6/20 - 29*f**5/40 - f**4/4 + 21*f**3/4 + 62*f**2. Factor i(c).
-3*(c + 1)*(c + 7)*(4*c - 3)/2
Factor 0*j - 9/2 + 1/2*j**2.
(j - 3)*(j + 3)/2
Suppose 4060*s - 4048*s - 24 = 0. Factor 0*o + 0*o**4 + 0 - 1/2*o**5 + o**s + 3/2*o**3.
-o**2*(o - 2)*(o + 1)**2/2
Let x(n) be the second derivative of -1/90*n**4 + 0 + 2/9*n**3 - 2*n - 5/3*n**2. Factor x(l).
-2*(l - 5)**2/15
Let m(k) = -27*k + 459. Let n be m(17). Factor 8/3*y**3 + 0 + n*y + 0*y**2 - 4/3*y**4.
-4*y**3*(y - 2)/3
Let k(u) be the second derivative of 0 - 11/14*u**4 + 3/49*u**7 - 4/7*u**2 - 8/7*u**3 + 11/35*u**6 - 4*u + 19/70*u**5. Find b such that k(b) = 0.
-2, -1/3, 1
Let q(x) = -2*x**2 + 177*x - 1063. Let o be q(82). Determine w, given that 2*w**2 + 0*w - 8/3 - 2/3*w**o = 0.
-1, 2
Suppose 7*a - 12*a - 2*b + 6 = 0, 5*b + 10 = 0. Let c(r) = -2*r**3 + 5*r**2 - 2. Let p be c(a). Solve -3/2*k + 1/2*k**3 + k**p + 0 = 0 for k.
-3, 0, 1
Let x(t) = 116*t + 232. Let r be x(-2). Let v(o) be the first derivative of 0*o + 4/21*o**3 + r*o**2 - 5 - 1/14*o**4. Find y such that v(y) = 0.
0, 2
Suppose 2*w + 3*w = -25. Let h(g) = -4*g - 4. Let v be h(w). Factor 6*x**2 - v*x**4 - 13*x**5 - 20*x**4 - 9*x**3 - 8*x**5.
-3*x**2*(x + 1)**2*(7*x - 2)
Suppose 33*o + 9443 = 9542. Factor 0*x + 2/13*x**5 - 6/13*x**4 + 6/13*x**o + 0 - 2/13*x**2.
2*x**2*(x - 1)**3/13
Let d be (1/(-1))/(14/(-28)). Solve 7*h + 3*h**d - 3*h**4 - h + 6*h**2 = 0 for h.
-1, 0, 2
Let c be (-10)/(-55) - (-20)/11. Find z, given that -3*z + z**c + 2*z**2 + 3*z**3 + 158 - 161 = 0.
-1, 1
Suppose 6 = 2*a - 0*a + 2*y, -2*a = 4*y - 4. Factor -v**a + v + 4*v**2 - v**2 - 70 + 68 - v**3.
-(v - 1)**2*(v + 1)*(v + 2)
Let k(c) be the first derivative of -c**6/2 + 3*c**5/5 + 3*c**4/4 - c**3 - 41. Let k(p) = 0. What is p?
-1, 0, 1
Let r(o) be the first derivative of 26*o**5/15 + o**4/12 - 104*o**3/9 - 2*o**2/3 + 102. Factor r(p).
p*(p - 2)*(p + 2)*(26*p + 1)/3
Let c be (-1 + 22/10)*(-15)/(-9). Let v(d) be the first derivative of -3/4*d**c + d + 4 + 1/6*d**3. Factor v(u).
(u - 2)*(u - 1)/2
Let y = 2/2515 + 501/2515. Factor 4/5*w - y*w**2 + 0.
-w*(w - 4)/5
Let f(a) be the second derivative of a**5/180 + 11*a**4/27 - 927*a. Factor f(w).
w**2*(w + 44)/9
Suppose -161*f + 69 = -139 - 114. Factor 0 - 1/5*z**f - 2/5*z.
-z*(z + 2)/5
Let s = 361 + -360. Let q(l) be the first derivative of -1/5*l**2 + 16/15*l**3 - 4/5*l - 1/2*l**4 - s. Factor q(g).
-2*(g - 1)**2*(5*g + 2)/5
Let b(n) be the third derivative of 0*n + 0*n**3 - n**4 + 3/70*n**7 + 6*n**2 + 0 + n**5 - 7/20*n**6. Let b(k) = 0. What is k?
0, 2/3, 2
Suppose -109 + 5*t**4 + 10*t**5 + 10*t - 106 - 5*t**5 + 215 - 5*t**2 - 15*t**3 = 0. Calculate t.
-2, -1, 0, 1
Suppose 0 = 5*d - d - 3*w - 13, 2*d = 5*w + 3. Suppose -5 - d = -3*v. What is k in 6*k**3 + v*k**4 - 1 + k**2 + 1 + 2*k**2 = 0?
-1, 0
Let s be 258/(-54) + (-23 - -28). Factor 0 + 1/3*v**3 + 0*v - s*v**2.
v**2*(3*v - 2)/9
Let w(r) = 19*r**3 - 41*r**2 + 22*r - 7. Let k(i) = 6*i**3 - 14*i**2 + 8*i - 2. Let o(h) = -7*k(h) + 2*w(h). Factor o(b).
-4*b*(b - 3)*(b - 1)
Let s(b) = -2*b**2 - 20*b - 12. Let g be s(-9). Let j be (g - 0)*15/25. Let -4/5*u**2 + 0 - 2*u**5 - j*u**3 + 0*u - 24/5*u**4 = 0. Calculate u.
-1, -2/5, 0
Let u(x) be the second derivative of -1/14*x**7 + 0*x**2 - 8*x - 1/5*x**6 + 0 + 0*x**3 + 3/20*x**5 + 1/2*x**4. Find i, given that u(i) = 0.
-2, -1, 0, 1
Let u(h) = 5*h - h**2 - h**2 + 3*h**2 - 9. Let s be u(-7). Factor -58*i + 54*i + s*i**3 - i**3.
4*i*(i - 1)*(i + 1)
Let o(f) be the second derivative of 7*f**3/6 + 35*f**2/2 - 2*f + 69. Let b be o(-5). Factor 0*a + 1/4*a**4 + 1/2*a**3 + b + 1/4*a**2.
a**2*(a + 1)**2/4
Let d(k) = -k**5 - 8*k**4 - 2*k**3 - 5*k + 4. Let p(l) = l**5 + 15*l**4 + 4*l**3 - l**2 + 9*l - 7. Let c(o) = 7*d(o) + 4*p(o). Solve c(n) = 0.
-1, 0, 1/3, 1
Let k(w) = -5*w**3 - 40*w**2 + 90*w + 110. Let z(h) = 5*h**3 + 43*h**2 - 91*h - 111. Let s(x) = -6*k(x) - 5*z(x). Factor s(p).
5*(p - 3)*(p + 1)*(p + 7)
Let z(j) = j**3 + j**2. Let i(v) = -2*v**4 - 66*v**3 - 422*v**2 - 1134*v - 1080. Let r(t) = -i(t) - 8*z(t). Let r(o) = 0. Calculate o.
-20, -3
Let x(z) be the first derivative of 5*z**3/3 - 15*z**2 + 45*z + 147. Determine y, given that x(y) = 0.
3
Let j = -29/360 + 1/18. Let b = 43/120 + j. Factor -b*a**2 + 1/3 + 0*a.
-(a - 1)*(a + 1)/3
Let x(w) be the third derivative of w**8/168 - w**6/15 + w**5/15 + w**4/4 - 2*w**3/3 + 119*w**2. Factor x(c).
2*(c - 1)**3*(c + 1)*(c + 2)
Let x = -880 + 100319/114. Let b = 86/57 + x. Factor 1 + 1/2*f**2 - b*f.
(f - 2)*(f - 1)/2
Let r = -156 - -313/2. Let g = 11/36 + -1/18. Factor -r*l**2 + 1/4*l**3 + 0 + g*l.
l*(l - 1)**2/4
Let v(d) be the second derivative of -d**8/3360 - d**7/1680 + d**6/360 + 10*d**3/3 + 3*d. Let n(b) be the second derivative of v(b). Factor n(y).
-y**2*(y - 1)*(y + 2)/2
Let f(y) be the first derivative of -35*y**3/3 - 285*y**2/2 - 40*y - 683. Determine q, given that f(q) = 0.
-8, -1/7
Let d be (-6)/(9/(-3)) + 10 - 1. Factor -d + 8*g + 2*g**2 + 11.
2*g*(g + 4)
Factor 1/7*a**2 - 54/7*a + 729/7.
(a - 27)**2/7
Suppose -t + p + 3*p - 3 = 0, -3*t - 39 = 3*p. Let f be (3/2)/(-1) - (t + 9). Factor 0*c + 0 + 1/4*c**4 - f*c**2 - 1/4*c**3.
c**2*(c - 2)*(c + 1)/4
Factor -2*b - 6*b**2 - 49*b**4 + 15 + 51*b**4 + 2*b**3 - 5 - 6.
2*(b - 1)**2*(b + 1)*(b + 2)
Let o(b) be the second derivative of -b**6/6 - 3*b**5/2 + 15*b**4/4 + 35*b**3/3 + 15*b + 6. Determine r, given that o(r) = 0.
-7, -1, 0, 2
Let f(o) be the third derivative of o**5/48 + 85*o**4/12 - 685*o**3/24 + 12*o**2 + 18. Factor f(h).
5*(h - 1)*(h + 137)/4
Let w(j) be the first derivative of j**6/10 - 39*j**5/25 + 33*j**4/4 - 15*j**3 - 54*j**2/5 + 324*j/5 + 550. Determine c, given that w(c) = 0.
-1, 2, 3, 6
Let f(h) be the second derivative of h**5/4 - 23*h**4/24 + 4*h**3/3 - 3*h**2/4 - 83*h. Factor f(q).
(q - 1)**2*(10*q - 3)/2
Let t(y) = -3*y**2 + 6*y + 29. Let i(k) = 8*k**2 - 19*k - 86. Suppose 4*h = -6*s + 2*s, 0 = -5*s + h + 24. Let o(g) = s*i(g) + 11*t(g). Factor o(q).
-(q + 5)**2
Find k, given that -12*k - 2*k + 62*k**2 - 45*k**3 + 18*k**3 - 60 + 19*k**3 + 22*k**3 - 2*k**4 = 0.
-3, -1, 1, 10
Let b = -94 + 99. What is l in -3 + 16*l**4 - 20*l - 6*l**4 - b*l**5 - 20*l**2 + 15*l**3 + 3 = 0?
-1, 0, 2
What is v in 66/19*v**2 + 238/19*v + 2/19*v**3 + 174/19 = 0?
-29, -3, -1
Let q(g) = 7*g - 11. Let m(w) = -13*w + 21. Let x(k) = -6*m(k) - 11*q(k). Let u be x(7). Find o, given that u*o + 10*o**2 - 