(j - 2)*(j - 1)**2
Let a(g) be the second derivative of -g + 0*g**2 + 0 - g**3 - 1/4*g**4. Solve a(o) = 0.
-2, 0
Let u be (-20)/(-8)*2 - 2. Factor 3/4*n**u + 0 - n - n**2 + n**4 + 1/4*n**5.
n*(n - 1)*(n + 1)*(n + 2)**2/4
Let w(u) = u**3 - u**2 - u + 1. Let h(b) = -12*b**3 + 14*b**2 + 12*b - 14. Let m(q) = 4*h(q) + 44*w(q). Factor m(k).
-4*(k - 3)*(k - 1)*(k + 1)
Let p(g) be the second derivative of -g**8/6720 + g**6/240 + g**5/60 - g**4/6 + 4*g. Let j(m) be the third derivative of p(m). Determine n, given that j(n) = 0.
-1, 2
Find j such that 229*j**4 - 76 + 1570*j**2 + 420*j + 116 + 2415*j**3 + 996*j**4 = 0.
-1, -2/5, -2/7
Let j = -1315 - -1315. Determine x, given that 0 - 4/11*x**2 + 6/11*x**3 - 2/11*x**4 + j*x = 0.
0, 1, 2
Let l(b) be the first derivative of -4/11*b + 1/11*b**2 - 7 + 2/33*b**3. Factor l(t).
2*(t - 1)*(t + 2)/11
Factor -2/11*n**2 + 16/11*n - 32/11.
-2*(n - 4)**2/11
Let -40/9*t - 32/9*t**2 - 2/9*t**3 + 0 + 2/9*t**4 = 0. Calculate t.
-2, 0, 5
Let h be ((-5)/6)/(115/(-69)). Find i such that 2*i**2 + h*i**3 + 1 + 5/2*i = 0.
-2, -1
Let i(g) be the third derivative of -1/6*g**4 - 2*g**2 - 1/3*g**3 + 0 - 1/30*g**5 + 0*g. Suppose i(w) = 0. Calculate w.
-1
Let k(y) be the third derivative of 0*y + 8/3*y**3 + 0*y**4 - 1/5*y**5 + 5*y**2 + 1/30*y**6 + 0. Let k(g) = 0. What is g?
-1, 2
Let h be ((-3)/2)/(3/18). Let q(a) = -a**3 - 10*a**2 - 10*a - 4. Let v be q(h). Factor p**2 + v - 5.
p**2
Let n(x) be the second derivative of x**4/3 + 2*x**3/3 - 5*x. Factor n(q).
4*q*(q + 1)
Let v = 306 - 2134/7. Find p such that -12/7*p**2 - 2/7 - 2/7*p**4 - v*p - 8/7*p**3 = 0.
-1
Let k = 5621 + -16379/3. Let s = k - 160. Factor 0 + 2/3*f**3 + 2/3*f**2 - s*f.
2*f*(f - 1)*(f + 2)/3
Let p be (21/(-9) - -2)*-15. Let n be 2/p - (-23)/5. Factor n*s**3 - 3*s**3 - s**4 - s**4.
-2*s**3*(s - 1)
Factor -4*f + 6*f**4 - 6*f**2 + 4*f**4 - 8*f**4.
2*f*(f - 2)*(f + 1)**2
Determine w, given that 0 - 6*w + 21/2*w**4 + 42*w**2 + 30*w**5 - 153/2*w**3 = 0.
-2, 0, 1/4, 2/5, 1
Let i be (-254)/5 - 1/(-5). Let r = i - -51. Factor 2/5*t + r*t**2 + 0.
2*t*(t + 1)/5
Factor -2/9*b**4 + 4/9*b**2 + 0*b + 0 - 2/9*b**3.
-2*b**2*(b - 1)*(b + 2)/9
Factor 0*s - 5/6*s**3 - 2/3*s**4 + 0 - 1/3*s**2 - 1/6*s**5.
-s**2*(s + 1)**2*(s + 2)/6
Let s(w) be the second derivative of w**4/48 - w**3/4 - 39*w. Factor s(y).
y*(y - 6)/4
Let s(u) = -u**4 - u**3 - 1. Let c(t) = 0 - t + 9 - 5*t + 15*t**3 + 6*t**4 + 3*t**2. Let w(n) = c(n) + 9*s(n). Factor w(m).
-3*m*(m - 2)*(m - 1)*(m + 1)
Let r(k) be the first derivative of k**6/60 - k**5/20 + k**3/6 - k**2/4 + 4*k - 3. Let f(q) be the first derivative of r(q). Factor f(t).
(t - 1)**3*(t + 1)/2
Let d(l) be the third derivative of l**7/70 - 3*l**6/40 + 3*l**5/20 - l**4/8 - 9*l**2. Find x such that d(x) = 0.
0, 1
Let h(s) = s**3 + 4*s**2 - 6*s - 2. Let u be h(-5). Solve u*x**5 - 202*x + 3*x**3 - 9*x**2 + 9*x**4 + 196*x + 0*x**3 = 0.
-2, -1, 0, 1
Let k(o) be the third derivative of o**2 + 4/21*o**3 - 13/210*o**5 - 1/21*o**4 - 1/84*o**6 + 0*o + 0. Determine b, given that k(b) = 0.
-2, -1, 2/5
Let x(g) = -g**3 - g**2 - g. Let s be x(0). Let h(z) be the third derivative of -1/150*z**5 + 0*z**3 + 0*z + z**2 + 0 + s*z**4. Suppose h(w) = 0. What is w?
0
Suppose 2*v = 4*v. Suppose -3*y + y = v. Factor -2/9*j**2 + 0*j + y - 2/9*j**3.
-2*j**2*(j + 1)/9
What is x in 1 + 2*x**2 - 7*x**2 - 1 + 10*x - 5 = 0?
1
Suppose 3*a + 4 = -5*p + 8, -a - 4 = -p. Let -2*o**4 + p*o**3 + 4*o**2 + 6*o**4 - 6*o**4 = 0. What is o?
-1, 0, 2
Let t be (26/(-6) - -4)*0. Let j(g) be the first derivative of -1 - 2/3*g**2 + t*g + 2/9*g**3. Factor j(y).
2*y*(y - 2)/3
Factor 1/6*k**4 + 1/2*k**2 + 1/2*k**3 + 0 + 1/6*k.
k*(k + 1)**3/6
Suppose 3*l - 4*t + 13 = 93, -4*l - 3*t + 65 = 0. Solve -6*i**3 - 4*i**3 - 16*i**2 - 8 + 4*i**3 - l*i + 2*i**3 = 0.
-2, -1
Let h(o) be the first derivative of -4 - 1/60*o**5 - 2*o**2 + 0*o - 1/24*o**4 + 0*o**3. Let y(m) be the second derivative of h(m). Factor y(n).
-n*(n + 1)
Let a(t) be the first derivative of -5*t**6/6 + 3*t**5 + 5*t**4/4 - 35*t**3/3 + 20*t - 29. Find f such that a(f) = 0.
-1, 1, 2
Factor -9/4*c**2 - 3*c - 1.
-(3*c + 2)**2/4
Let m be -2 + 15/6 - 54/(-20). Factor 4/5*o**4 + 16/5 - m*o + 8/5*o**3 - 12/5*o**2.
4*(o - 1)**2*(o + 2)**2/5
Solve 2/15*h - 8/5 + 2/15*h**2 = 0.
-4, 3
Suppose 0*o + 2*o + 0*o = 0. Factor 1/2*b**5 + 0 - b**2 - 1/2*b + b**4 + o*b**3.
b*(b - 1)*(b + 1)**3/2
Let f be (-2 - -1)*6*(-9)/90. Factor -f*c**2 + 4/5*c**4 + 4/5*c**3 + 1/5 - 2/5*c.
(c + 1)**2*(2*c - 1)**2/5
Solve 2/5*m**2 + 0 - 2/5*m**4 + 2/5*m**3 - 2/5*m = 0.
-1, 0, 1
Let f(a) = a**3 + 6*a**2 + 4*a - 3. Let v be f(-5). Suppose 0 = -3*p + 8 - v. Suppose 1/3*n**p + 0 + 1/3*n = 0. Calculate n.
-1, 0
Let k(l) be the first derivative of -l**7/840 + l**6/360 + l**5/120 - l**4/24 + 5*l**3/3 - 2. Let d(s) be the third derivative of k(s). Solve d(h) = 0.
-1, 1
Let r(w) = w**2 - 5*w - 2. Let p be r(6). Suppose p*v + v - 20 = 0. Find m such that v*m**3 - 2*m**4 - 11*m**4 - 4*m**2 + 3*m**4 - 18*m**3 = 0.
-1, -2/5, 0
Let z(r) = 14*r**2 - 6*r + 4. Let k(u) be the third derivative of u**5/60 - u**4/24 + 5*u**2. Let x(q) = -12*k(q) + z(q). What is l in x(l) = 0?
-2, -1
Let t(k) be the second derivative of -9*k**7/14 + 6*k**6/5 + 3*k**5/10 - k**4 - k**3/2 - 7*k. Solve t(a) = 0.
-1/3, 0, 1
Factor c + 2*c**3 - 7*c - 15*c - 15*c**2 - 5*c**3 - 9.
-3*(c + 1)**2*(c + 3)
Let q(p) = -4*p**3 - 14*p**2 - 18*p - 6. Let d(a) = 4*a**3 + 15*a**2 + 19*a + 5. Let v(r) = -6*d(r) - 5*q(r). Factor v(i).
-4*i*(i + 2)*(i + 3)
Factor -8*b**2 + 2*b**2 + b**2 + 50*b + 30 - 155.
-5*(b - 5)**2
Let j(s) = -s**3 - 3*s**2 + 2. Let z be j(-3). Suppose 6*t - z*t = 8. Factor 4*r**5 + 2*r**2 - 2*r**4 - 3*r - 3*r**5 + t*r.
r*(r - 1)**3*(r + 1)
Let x(l) = -l**2 + 13*l - 2. Let b(h) be the first derivative of 7*h**2/2 - h + 4. Suppose 3*a + 9 + 6 = 0. Let g(q) = a*b(q) + 3*x(q). Solve g(i) = 0 for i.
1/3, 1
Let g be (-114)/(-266)*7/2. Factor -3/2*l**3 + g*l**5 + 0*l + 3/2*l**4 - 3/2*l**2 + 0.
3*l**2*(l - 1)*(l + 1)**2/2
Let i(n) = -n**2 - 26*n + 27. Let q be i(-27). Factor 2/3*y**3 + 2/3*y**4 + 0 - 2/3*y**2 + q*y - 2/3*y**5.
-2*y**2*(y - 1)**2*(y + 1)/3
Determine t, given that 3/8*t - 1/4 + 0*t**2 - 1/8*t**3 = 0.
-2, 1
Suppose 0 = -2*c + 5*b - 14, 0 = c - 0*b + b - 7. Let i be (3 - (c + -1))*3. Factor 1/2*j**i + 0*j - j**2 + 0.
j**2*(j - 2)/2
Let a be (20 - 21) + 34/30. Factor -2/15*m**2 + 0 - a*m.
-2*m*(m + 1)/15
Let s be 1/(-2)*-22 + -2. Determine h so that s - 4 - 9*h - 4*h**2 - 7 = 0.
-2, -1/4
Let q be (-2)/(-5) + 816/(-40). Let k be (q/(-8))/(-5)*0. Suppose 0*p - 18/5*p**4 + 18/5*p**3 + k - 4/5*p**2 = 0. What is p?
0, 1/3, 2/3
Let q = -3 + 22. Factor -q*g**4 - 3*g**3 - 14*g**5 - g**4 - 11*g**5 - g**3.
-g**3*(5*g + 2)**2
Let p(i) be the third derivative of i**8/20160 + i**7/2520 + i**6/720 + i**5/30 + 3*i**2. Let l(u) be the third derivative of p(u). Factor l(w).
(w + 1)**2
Let r be -2 + 1*(0 - -7). Let p(j) be the second derivative of -1/14*j**r + 5/21*j**6 + 0 + j - 44/21*j**3 - 8/7*j**2 - 11/7*j**4. Find m, given that p(m) = 0.
-1, -2/5, 2
Let o(b) = b**3 - 5*b**2 + 6*b - 5. Let v be o(4). Suppose 2*s = -4*s + s. What is w in s + 1/2*w**v + 0*w + w**2 = 0?
-2, 0
Let l be -6 - (4/(-14) + (-1776)/252). Determine j so that -8/3*j + 0 + 20*j**3 + l*j**2 + 28/3*j**5 + 76/3*j**4 = 0.
-1, 0, 2/7
Suppose -5*s + 2*u = -12, 3*u + 5 = -47*s + 48*s. Factor -2/3*p**3 - 2/3*p**4 - 2/9*p**5 - 2/9*p**s + 0 + 0*p.
-2*p**2*(p + 1)**3/9
Let p(v) = -v. Let c(m) = 5*m**2 - 10*m - 6. Let b(a) = c(a) - 5*p(a). Let l(g) = 4*g**2 - 4*g - 5. Let d(w) = -3*b(w) + 4*l(w). Solve d(k) = 0 for k.
-1, 2
Let o be 20/3 - (-8)/(-12). Let a = o - 6. Factor -f + a*f**2 - 4*f**4 - 6*f**3 + 2*f**4 - f - 6*f**2.
-2*f*(f + 1)**3
Let a be (-34)/(-10) - 6/(-10). Factor -2*w**5 + 2*w**3 - 3*w**a - 3*w**4 - 2*w**2 - 8*w**3.
-2*w**2*(w + 1)**3
Let o = 49 + -47. Factor 2/5*z**4 + 0 + 0*z + 0*z**o - 2/5*z**3.
2*z**3*(z - 1)/5
Solve 12*v + 8*v**2 - v**4 + v**4 - 8 - 16*v**3 + 4*v**5 = 0.
-2, -1, 1
Factor 26/11*z**4 + 2/11*z**5 + 216/11 + 134/11*z**3 + 432/11*z + 342/11*z**2.
2*(z + 2)**2*(z + 3)**3/11
Let y(h) be the first derivative of -7*h**4/9 + 16*h**3/9 - 2*h**2/3 - 8*h/9 + 9. Suppose y(q) = 0. What is q?
-2/7, 1
Let s(w) be the first derivative of 2*w**6 - 4