se -2*o + 4*r = -5*o + 9, 15 = 5*o - 2*r. Factor t - t**2 - t**o + t**4 + 49 - 49.
t*(t - 1)**2*(t + 1)
Factor -96*i + 21*i**4 + 181*i**3 - 24*i**2 + 312*i**2 - 19*i**3.
3*i*(i + 4)**2*(7*i - 2)
Suppose -o - p + 22 = -4*o, 0 = o + 5*p + 2. Let b(h) = 3*h**2 + 8*h - 7. Let f be b(o). Factor 0 - 24*y**2 + 16/7*y - 98*y**4 + f*y**3.
-2*y*(7*y - 2)**3/7
Let p be ((-84)/(-40))/(-7) - (-6)/4. Factor 21/5*o**4 - p*o - 48/5*o**3 + 0 + 33/5*o**2.
3*o*(o - 1)**2*(7*o - 2)/5
Let z be 0 + -2 + (-33)/(-9) + -1. Let m(j) be the second derivative of -3/10*j**6 - z*j**3 + 1/6*j**4 + 0 + 3/5*j**5 + 4*j - 1/2*j**2. Factor m(w).
-(w - 1)**2*(3*w + 1)**2
Let f(v) be the first derivative of -1/15*v**5 + 1/3*v**2 + 0*v**3 - 1 - 1/6*v**4 + 1/3*v. Factor f(x).
-(x - 1)*(x + 1)**3/3
Let y(x) = 5*x. Let f be y(1). Suppose 0 = -f*o - 6 + 16. Factor -14*l**4 - 8*l**3 + 6*l**2 + 4*l + 6*l**2 + o*l**2 + 4*l**3.
-2*l*(l - 1)*(l + 1)*(7*l + 2)
Let j(s) = -8*s**2 + 17*s - 23. Let c(m) = -17*m**2 + 33*m - 47. Let r(z) = 3*c(z) - 7*j(z). Solve r(k) = 0 for k.
2
Let d(i) = i**3 - 4*i**2 + 5*i - 2. Let w be d(3). Let q be (w/5)/((-12)/(-30)). Suppose c**2 - c**2 + 2*c**3 + 2*c**q = 0. What is c?
-1, 0
Suppose -k + 15 = 4*k. Solve -f - f**2 + 10*f**3 - f**4 + 2*f**4 - 9*f**k = 0 for f.
-1, 0, 1
Suppose -3*l = -0*l. Suppose 5*g = 2*w + 20 + 1, -2*w + 19 = 3*g. What is x in -2/3*x - 2/3*x**3 + l + 4/3*x**w = 0?
0, 1
Let r(h) be the third derivative of 0 + 1/6*h**5 - 1/12*h**4 + 0*h - 3*h**2 - 1/35*h**7 + 1/60*h**6 - 2/3*h**3. Suppose r(k) = 0. What is k?
-1, -2/3, 1
Suppose v = 2 - 4. Let a be 10/(-45)*3/v. Factor 0 - 2/3*b**3 + 1/3*b**2 + 0*b + a*b**4.
b**2*(b - 1)**2/3
Let b(k) be the first derivative of -k**6/36 - k**5/10 - k**4/12 + 6. Let b(s) = 0. What is s?
-2, -1, 0
Factor 0 - 4/3*s**4 - 7/3*s**3 + 1/3*s - 2/3*s**2.
-s*(s + 1)**2*(4*s - 1)/3
Let l(x) be the second derivative of 5*x + 9/2*x**2 - x**3 + 0 + 1/12*x**4. Let l(y) = 0. What is y?
3
Let r(u) = u**3 + u + 2. Let m be r(0). Factor -9*q - 10*q + 17*q - m*q**2.
-2*q*(q + 1)
Let g be (5*(-16)/1000)/((-1)/5). Factor 0*s**2 + g*s**5 - 4/5*s**3 + 0*s**4 + 0 + 2/5*s.
2*s*(s - 1)**2*(s + 1)**2/5
Let m(t) = -t - 6. Let d be m(-9). Let s(v) = 0 + d - 10 - v**2 - 7*v. Let y(b) = 3*b + 3. Let n(w) = 6*s(w) + 15*y(w). Factor n(a).
-3*(a - 1)*(2*a + 1)
Let k = -26 + 30. Suppose -13/3*i**2 + 14/3*i**3 + 4/3 - 8/3*i + 5*i**k = 0. What is i?
-1, 2/5, 2/3
Let w(x) be the third derivative of -x**8/6720 + x**7/3360 + x**6/1440 - x**5/480 + x**3/2 + 2*x**2. Let c(k) be the first derivative of w(k). Factor c(r).
-r*(r - 1)**2*(r + 1)/4
Let r(w) be the first derivative of 2*w**3/3 + 5*w**2/2 + 3*w + 1. Let z be r(-3). Solve -6*u - z*u**2 + 8*u**3 + u + 3*u = 0 for u.
-1/4, 0, 1
Let m(d) be the third derivative of d**8/672 + d**7/60 + d**6/30 - 2*d**5/15 + 3*d**2. Factor m(y).
y**2*(y - 1)*(y + 4)**2/2
Factor 2/3*z**2 + 4/3*z + 2/3.
2*(z + 1)**2/3
Let 4*z**2 + 2/3*z**5 + 2/9 + 26/9*z**4 + 44/9*z**3 + 14/9*z = 0. Calculate z.
-1, -1/3
Let x(u) = -3*u**4 + 6*u**3 + 3*u**2 - 6. Let i(h) = 6*h**4 - 12*h**3 - 7*h**2 + 13. Let j(m) = -6*i(m) - 13*x(m). Factor j(s).
3*s**2*(s - 1)**2
Let k be (-30)/(-5) + (2 - 2). Suppose 0 + 3 - 3*h - k*h + 12*h**3 = 0. Calculate h.
-1, 1/2
Suppose 2*a = 5*a - 9, -n = -a + 1. Let z(k) be the first derivative of 1 + 0*k + 2/5*k**5 + 2/9*k**3 + 0*k**n - 2/3*k**4. Suppose z(x) = 0. What is x?
0, 1/3, 1
Let k(j) = j**2 + 4. Let l be k(0). Factor -5*a + a**2 - l*a + 7*a.
a*(a - 2)
Let y(a) = -2*a - 5. Let w(g) = -3*g - 8. Let r(u) = -5*w(u) + 8*y(u). Let i(n) = -n**2 + 7*n - 1. Let t(p) = i(p) + 5*r(p). Factor t(c).
-(c - 1)**2
Let d(v) be the first derivative of -1/12*v**3 + 1/2*v**2 + 1 - v. Solve d(w) = 0 for w.
2
Let j be ((-510)/28)/((-2)/12). Let b = -109 + j. Factor b*v**4 - 6/7*v**2 - 2/7*v + 2/7*v**3 + 4/7.
2*(v - 1)**2*(v + 1)*(v + 2)/7
Factor 2*p**3 + 0*p**2 + 0*p**2 + p**4 + p**2.
p**2*(p + 1)**2
Let h(i) = i**2 - 4*i - 5. Let k be h(6). Factor y**2 + 0 + 2*y**3 + 0 - k*y**2 + 8.
2*(y - 2)**2*(y + 1)
Let b(g) be the second derivative of -g**7/2520 + g**4/12 - 2*g. Let n(x) be the third derivative of b(x). Suppose n(t) = 0. What is t?
0
Suppose 3*k + 2*n + 1 = 0, -2*k = k - 5*n + 8. Let b be k/(-2) - (-4)/(-12). Find j, given that 1/6*j**3 + 0*j + 0 + b*j**2 = 0.
-1, 0
Factor 0 - 1/6*p**2 + 0*p + 1/3*p**3.
p**2*(2*p - 1)/6
Let p(j) = 5*j**3 + 6*j**2 - 3*j - 4. Let s(g) = 14*g**3 + 17*g**2 - 9*g - 11. Let b(w) = 11*p(w) - 4*s(w). Factor b(q).
-q*(q - 1)*(q + 3)
Let k(y) be the third derivative of -y**7/525 - y**6/100 - y**5/50 - y**4/60 - 5*y**2. Factor k(g).
-2*g*(g + 1)**3/5
Factor -228*n**5 + 229*n**5 - 2*n**4 + n**2 - n**2.
n**4*(n - 2)
Let n = 9 + -5. Let p = -10 - -13. What is x in -x**n - x**4 + 3*x**p + 0*x**3 - x = 0?
-1/2, 0, 1
Let s = -7 + 2. Let f(r) = r**2 + 4*r - 5. Let n be f(s). Determine a, given that -2*a**4 + n*a**4 - 4*a**5 + a**3 - a**5 + 6*a**5 = 0.
0, 1
Let i(r) = 4*r**4 - 36*r**3 + 90*r**2 - 64*r. Let z(x) = 4*x**4 - 36*x**3 + 89*x**2 - 64*x. Let u(n) = 7*i(n) - 6*z(n). Factor u(p).
4*p*(p - 4)**2*(p - 1)
Let u(r) be the second derivative of -r**7/2520 + r**5/120 + r**4/3 - 9*r. Let z(y) be the third derivative of u(y). Determine x, given that z(x) = 0.
-1, 1
Let v(q) be the second derivative of 1/18*q**4 - 1/6*q**2 + 1/126*q**7 + 1/18*q**3 - 1/30*q**5 - 1/90*q**6 + 0 + 3*q. Factor v(s).
(s - 1)**3*(s + 1)**2/3
Suppose -7*y**2 - 2*y - 137*y**5 + 142*y**5 - 3*y**3 + 7*y**4 + 0*y**3 = 0. Calculate y.
-1, -2/5, 0, 1
Factor -4/5*v + 8/5 + 1/5*v**3 - 2/5*v**2.
(v - 2)**2*(v + 2)/5
Let s = 31/12 - 11/6. Factor -s*y**3 - 9/4*y**4 - y**5 + 3/4*y + 0 + 5/4*y**2.
-y*(y + 1)**3*(4*y - 3)/4
Factor 16/9*s**4 + 4/9*s**2 + 2/3*s**5 + 14/9*s**3 + 0*s + 0.
2*s**2*(s + 1)**2*(3*s + 2)/9
Let c be 60/(-80) - 3*2/(-8). Determine q, given that 0*q + 0*q**4 - 2/5*q**3 + 0*q**2 + c + 2/5*q**5 = 0.
-1, 0, 1
Let d(c) be the third derivative of c**7/840 + c**6/240 - c**5/20 + c**4/12 + 4*c**2. Let a(w) be the second derivative of d(w). Factor a(l).
3*(l - 1)*(l + 2)
Suppose -6*h + 8 = -2*h. Suppose -8 = -4*b + 2*b. Factor -b*r**h + 5 - 4 + 6*r - 3.
-2*(r - 1)*(2*r - 1)
Let f(s) be the second derivative of -s**4/4 + 6*s**3 - 54*s**2 + 20*s. Find a, given that f(a) = 0.
6
Let v(f) be the third derivative of -f**5/240 - f**4/48 - f**3/24 + 12*f**2. Solve v(b) = 0 for b.
-1
Suppose 6 = 3*b, 2*g - b + 8 = -0*g. Let i = g + 5. Factor -l - l**2 - i*l**4 - 5*l**5 + 3*l**2 + 4*l**5 + 2*l.
-l*(l - 1)*(l + 1)**3
Let c(i) be the third derivative of i**7/420 + i**6/60 + i**5/40 - i**4/12 - i**3/3 - 4*i**2. Determine j, given that c(j) = 0.
-2, -1, 1
Factor -18/5 - 3*p - 3/5*p**2.
-3*(p + 2)*(p + 3)/5
Let g(u) be the second derivative of -u**6/285 + u**5/95 + 2*u**4/57 - 2*u**3/57 - 3*u**2/19 + 7*u - 2. Solve g(f) = 0 for f.
-1, 1, 3
Let r(h) be the third derivative of h**6/210 - 8*h**5/105 + h**4/6 - 19*h**2. Factor r(a).
4*a*(a - 7)*(a - 1)/7
Let d(i) = 9*i**2 + 5*i + 7. Let a(u) = -1 - u**2 + 5 + 6*u**2 + 3*u. Let f(n) = n**2 - 19*n + 12. Let r be f(18). Let c(m) = r*d(m) + 11*a(m). Factor c(v).
(v + 1)*(v + 2)
Let j(u) be the first derivative of 3*u**2 - 2 - 18*u + 10/3*u**3 + 1/2*u**4. Let j(w) = 0. Calculate w.
-3, 1
Let d be (-2)/7 + 172/14. Factor 10 - 3 - 6 + 2*a**2 - d*a + 17.
2*(a - 3)**2
Let i be (84/147)/(2/7). Factor 3/4*o**i + 3/4 + 3/2*o.
3*(o + 1)**2/4
Solve 0 + 2/9*o**2 + 4/9*o = 0 for o.
-2, 0
Let c = 419 - 2088/5. Let l(n) be the first derivative of c*n**3 + 3/10*n**4 + 0*n - 1 - 21/25*n**5 - 3/5*n**2. Solve l(j) = 0 for j.
-1, 0, 2/7, 1
Let v be (-4)/(-32) + (-158)/(-16). Suppose -13*a = -v*a. Determine o so that -2/3*o**3 + 4/3*o**2 - 2/3*o + a = 0.
0, 1
Let p be 2 - (-2 + (4 - 2)). Let f(n) be the third derivative of 0*n - 3*n**p - 1/180*n**5 + 1/144*n**4 + 1/720*n**6 + 0 + 0*n**3. Factor f(z).
z*(z - 1)**2/6
Let n(c) be the first derivative of -c**6/40 + c**5/8 - c**4/4 - c**3/3 + 8. Let g(d) be the third derivative of n(d). Determine y so that g(y) = 0.
2/3, 1
Let d = -119/2 + 60. Suppose 0*f**2 - d*f**3 + 1/2*f + 0 = 0. Calculate f.
-1, 0, 1
Let j(h) be the third derivative of 0*h**4 + 5*h**2 - 1/20*h**5 + 0*h + 0 + 0*h**3. Let j(i) = 0. Calculate i.
0
Let w(y) be the first derivative of -y**4/