olve -6/11 + 6/11*c**u + 2/11*c - d*c**3 = 0.
-1, 1, 3
Let i(z) be the second derivative of z**8/11760 - z**7/2205 + z**6/1260 - 2*z**4 + 6*z. Let q(b) be the third derivative of i(b). Determine r so that q(r) = 0.
0, 1
Factor -42 - 6 + 16*d + 22*d**2 + 20*d**2 - 38*d**2.
4*(d - 2)*(d + 6)
Let u(t) be the first derivative of t**5/5 + 2*t**4/3 - 2*t**3 + 23*t + 16. Let x(v) be the first derivative of u(v). Determine s, given that x(s) = 0.
-3, 0, 1
Suppose 0 + 2/9*s + 8/3*s**2 = 0. Calculate s.
-1/12, 0
Let c(x) be the second derivative of -x**6/10 + 3*x**5/4 + 3*x**4/4 - 13*x**3/2 - 15*x**2 + 60*x. Factor c(j).
-3*(j - 5)*(j - 2)*(j + 1)**2
Let h be -2 + 4 + 69/(-3). Let a be ((-6)/h)/((-3)/(-7)). Find p such that -1/3*p + a*p**3 - 1/3*p**4 + 2/3*p**2 - 1/3*p**5 - 1/3 = 0.
-1, 1
Let a(v) be the third derivative of v**5/330 - 8*v**4/11 + 768*v**3/11 + 57*v**2. Determine q so that a(q) = 0.
48
Let g(i) be the second derivative of -i**4/12 + 104*i**3/3 - 5408*i**2 - 530*i. Factor g(b).
-(b - 104)**2
Let v(w) = 2*w + 3. Let y(z) = z**2 + 36*z + 31. Let m(f) = 4*v(f) + y(f). Factor m(l).
(l + 1)*(l + 43)
Let f(i) = -i**4 - 3*i**3 - i + 1. Let c(l) = -28*l**4 - 354*l**3 - 564*l**2 - 295*l - 45. Let k(b) = -2*c(b) + 6*f(b). Determine g so that k(g) = 0.
-12, -1, -2/5
Let u = -2/73 - -152/219. Let o = 521/3 - 173. Let 4/3*v**3 - u*v**4 + 0 + 0*v - o*v**2 = 0. Calculate v.
0, 1
Let t(q) be the first derivative of 4*q + 5/6*q**3 - 6 + 15/8*q**2 + 5/48*q**4. Let v(n) be the first derivative of t(n). Let v(y) = 0. Calculate y.
-3, -1
Let o(r) be the first derivative of -3 + 10*r + 5/3*r**3 + 15/2*r**2. What is a in o(a) = 0?
-2, -1
Let j be (-8)/6 - -42*(-4)/(-36). Find i, given that -j*i + 4 + 2/3*i**2 = 0.
2, 3
Let j(c) be the second derivative of c**4/4 - 3*c**2/2 - 611*c. What is k in j(k) = 0?
-1, 1
Let u = -366 - -820. Let k = 3184/7 - u. Determine c, given that -2/7*c + 4/7*c**2 + k*c**3 + 0 = 0.
-1, 0, 1/3
Let x(g) be the first derivative of -g**5/120 + g**4/18 - g**3/9 - g + 10. Let a(o) be the first derivative of x(o). Solve a(n) = 0 for n.
0, 2
Let s(o) be the second derivative of -o**6/40 + 9*o**5/20 + 27*o**4/16 + 7*o**3/4 - 3*o + 24. Let s(u) = 0. What is u?
-1, 0, 14
Suppose 4 + 26 = 5*r. Let o = r - 2. Let -4*w**2 + 2*w**2 - 1 + 1 - o*w = 0. Calculate w.
-2, 0
Let q(i) = -i**3 - i**2. Let b(o) = -2*o**3 + 28*o**2 + 105*o + 75. Let l(v) = -b(v) + 5*q(v). Find c such that l(c) = 0.
-5, -1
Let b(j) be the first derivative of -1/4*j**3 + 0*j**2 - 1/16*j**4 + 31 + 0*j. Find a such that b(a) = 0.
-3, 0
Let g(x) be the first derivative of x**6/4 + 12*x**5/5 + 69*x**4/8 + 14*x**3 + 9*x**2 - 455. Find z such that g(z) = 0.
-3, -2, -1, 0
Let a(k) be the first derivative of 0*k - 2/15*k**3 - 13 - 2/5*k**2. Determine g, given that a(g) = 0.
-2, 0
Let c(n) = n**2 - 5*n + 7. Let a be c(4). Suppose -a = -3*s, -5*s = -i - i - 1. Suppose 1/6 + 1/3*u + 0*u**i - 1/6*u**4 - 1/3*u**3 = 0. What is u?
-1, 1
Suppose 0 = -2*u - 1 + 1. Suppose -3 = -3*j - 0, u = -5*d + 2*j - 2. What is h in -2/3*h**3 + 0 + 1/3*h**4 + 1/3*h**2 + d*h = 0?
0, 1
Suppose 5*i - 4*g = 356, 5*g = -2*i + g + 148. Suppose 0 = 5*k - 3*d - 0*d - i, -d = -2*k + 28. Factor -3 - 10*x**2 - 6*x + 17*x**2 + 5*x**2 - k*x**3 + 9*x**2.
-3*(x - 1)**2*(4*x + 1)
Let o(t) be the first derivative of 2*t**3/27 + 80*t**2/9 + 3200*t/9 + 329. Find y, given that o(y) = 0.
-40
Factor 4/3*p**3 + 972 + 36*p**2 + 324*p.
4*(p + 9)**3/3
Suppose -4 = 4*b - 6*b. Suppose 0 = 2*d - d. Factor 1/2*r - 1/2*r**3 + d*r**b + 0.
-r*(r - 1)*(r + 1)/2
Let x(n) = n**5 + 12*n**4 + 38*n**3 + 60*n**2 + 29*n - 2. Let r(d) = -d**5 - 13*d**4 - 39*d**3 - 63*d**2 - 30*d + 3. Let s(v) = 2*r(v) + 3*x(v). Factor s(m).
m*(m + 1)*(m + 3)**3
Let h(c) = 15*c**3 + 97*c**2 - 15*c - 97. Let t(w) = -5*w**3 - 32*w**2 + 5*w + 32. Let o(p) = 3*h(p) + 8*t(p). Factor o(i).
5*(i - 1)*(i + 1)*(i + 7)
Let v be 12/(-4)*(-6)/9. Factor -3*j + v*j**2 + 0*j**2 + 9*j.
2*j*(j + 3)
Let b(y) be the third derivative of -y**5/20 + 3*y**4/4 + 7*y**3/2 - 99*y**2. Factor b(t).
-3*(t - 7)*(t + 1)
Let k be -2*(-3)/18*(-255)/(-5). Determine o so that -o**4 - o**4 + 2*o**3 + 11*o**3 - k*o**3 = 0.
-2, 0
Let k(j) = -j**2 + 1. Let q(w) = 4*w**2 - 2*w + 2. Let h(b) = b**2 + 1. Let x(g) = -2*h(g) + q(g). Let v(c) = -15*k(c) - 3*x(c). Factor v(m).
3*(m - 1)*(3*m + 5)
Suppose 4*c + 2*c = -2*c. Let p(i) be the third derivative of 0 - 1/30*i**5 + 0*i**4 + 0*i**3 - 1/60*i**6 + c*i + 4*i**2. Factor p(l).
-2*l**2*(l + 1)
Suppose -112*r + 34 = -107*r - 4*w, -5*w = 3*r + 24. Determine c, given that -c + 1/3*c**r + 2/3 = 0.
1, 2
Let a be (-10)/(-55) + (-370)/(-22). Determine w, given that -33*w - 4 + 4*w**3 - 12*w**2 + a*w + 28*w = 0.
1
Suppose 0 + 16/9*u**2 - 2/9*u**3 + 0*u = 0. What is u?
0, 8
Suppose 4*i + 10 = -2*x, -3*x + 2 = -x + i. Suppose -3*l - 3*l**5 + 2*l**3 - l**3 + 0*l + 5*l**x = 0. What is l?
-1, 0, 1
Let l(p) be the first derivative of 0*p**3 - 1/60*p**4 + 1/600*p**6 + 1/300*p**5 - 4 + 3/2*p**2 + 0*p. Let o(m) be the second derivative of l(m). Factor o(u).
u*(u - 1)*(u + 2)/5
Find h such that 2/3*h**4 + 0*h**2 - 10*h**3 + 0 + 0*h = 0.
0, 15
Let w be (-4 - -7) + -2 - 2. Let x be (-2)/w + (-3)/(-3). Factor 2*h**2 - 2*h**5 - 5*h**4 + 3*h**4 - 2*h**x + 0*h**5 + 4*h**5.
2*h**2*(h - 1)**2*(h + 1)
Let q(x) = -5*x - 20. Let z be q(-5). Factor -20 - 5*t + 2*t - 22*t - z*t**2.
-5*(t + 1)*(t + 4)
Let n(x) = 7*x**2 - 3*x - 10. Let w(o) = -29 - 6*o + 8*o**2 + 8*o**2 + 4*o**2 - 3*o. Let u be (-106)/10 - (-4)/(-10). Let s(t) = u*n(t) + 4*w(t). Factor s(i).
3*(i - 2)*(i + 1)
What is k in 4*k**2 - 4*k**2 - k**2 + 5*k - 4*k + 2 = 0?
-1, 2
Find f such that -10/7 + 2/7*f**2 + 6/7*f**3 - 2*f = 0.
-1, 5/3
Let a(c) = 10*c - 51. Let b(d) = -9*d + 49. Let q(g) = 2*a(g) + 3*b(g). Let r be q(6). What is o in 0*o - 2*o**2 - 1/2*o**4 + 0 + 2*o**r = 0?
0, 2
Let s(v) = -v - 4. Let o = -8 - -2. Let w be s(o). Factor -2/7*g + 0 - 2/7*g**3 + 4/7*g**w.
-2*g*(g - 1)**2/7
Let o(p) = p + 5. Let a be o(-3). Suppose 2*v - 4 = n, -2*n + n = a*v - 12. Solve -8 + c**2 + 2*c**4 - v*c**3 + 8 + c**2 = 0 for c.
0, 1
Find x such that 1/9*x - 2/9 + 2/9*x**2 - 1/9*x**3 = 0.
-1, 1, 2
Let k(j) be the first derivative of -1 - 5/2*j**2 + 0*j - 1/36*j**4 + 1/180*j**5 + 1/18*j**3. Let h(c) be the second derivative of k(c). Factor h(v).
(v - 1)**2/3
Suppose 95*x + 140 = 100*x - 3*w, w = 4*x - 112. Determine j, given that -200/3*j**4 + 80/3*j**2 - 16/3*j - 20/3*j**3 + 0 - x*j**5 = 0.
-2, -1, 0, 2/7, 1/3
Let j = -18929/14 - -43097/21. Let s = j - 696. Factor -2/3 - 5/6*p**2 + s*p**3 - 8/3*p.
(p - 1)*(5*p + 2)**2/6
Let a(m) = 3*m**3 - 5*m**2 - m - 3. Let h(g) = -8*g**3 + 11*g**2 + g + 7. Let b(o) = -5*a(o) - 2*h(o). Factor b(p).
(p + 1)**3
Suppose 5*p + 3*k - 85 = 0, -3*p - k = 2*k - 57. Suppose -b = -p*b. Determine g so that 2/9*g**4 + b + 0*g**2 + 0*g - 2/9*g**3 = 0.
0, 1
Factor 1/2*d**2 + 0 - 1/4*d - 1/4*d**3.
-d*(d - 1)**2/4
Suppose 38*z - 35*z = 0. Factor z*d**3 + d**3 + 4*d**2 - 7*d**3 - 2*d**2 - 8*d**4.
-2*d**2*(d + 1)*(4*d - 1)
Let u(t) be the second derivative of -t**6/60 - 9*t**5/10 + 79*t**4/24 + 19*t**3/2 + t + 160. Factor u(k).
-k*(k - 3)*(k + 1)*(k + 38)/2
Suppose -3*m**3 + 0*m**3 + 11*m**2 - 5*m**2 + 4*m + 5*m**3 = 0. What is m?
-2, -1, 0
Let k(g) = 15*g**3 - 15*g - 5. Let u(o) = -7*o**3 + 7*o + 2. Let h = -33 + 28. Let d(p) = h*u(p) - 2*k(p). Suppose d(n) = 0. Calculate n.
-1, 0, 1
Let s(v) be the second derivative of -1/54*v**4 + 0 + 0*v**2 - 10*v + 0*v**3. Factor s(d).
-2*d**2/9
Suppose -6*v = -7*v + 3. Suppose 0*m - v*m = -42. Factor -11 - m*g**3 - 4*g + 11 - 18*g**2.
-2*g*(g + 1)*(7*g + 2)
Let l(f) be the third derivative of f**6/180 - 157*f**5/90 - 79*f**4/18 + 777*f**2. Factor l(r).
2*r*(r - 158)*(r + 1)/3
Find f, given that -1/2*f**3 + 2*f + 0 - 3/2*f**2 = 0.
-4, 0, 1
Let k be (4/(-3))/((-136)/(-24) + -9). Let y(m) be the first derivative of -7 - 4/15*m**3 + k*m**2 + 8/5*m. Solve y(z) = 0 for z.
-1, 2
Factor -3*c**2 + 0*c**2 + 8 - 23*c**2 + 27*c**2 + 9*c.
(c + 1)*(c + 8)
Suppose -40*b**2 - 320/3*b**3 + 64/3*b - 14/3*b**5 - 50*b**4 + 0 = 0. Calculate b.
-8, -2, -1, 0, 2/7
Let w = -6 + 11. Let i be 13/3 + -3 + 2/3. Factor 2*h**3 + 3 + h**5 + 2*h + i*h**2 - w*h - 3*h**4 - 2.
(h - 1)**4*(h + 1)
Let w be (-9)/(-