w be s(9). Factor -1/4*j**4 + 1/4*j + 1/4*j**2 + 0 - 1/4*j**w.
-j*(j - 1)*(j + 1)**2/4
Let i(b) = -8*b**2 + 2*b - 5. Let q(v) = -6*v - 3*v + 30 + 4*v**2 + 35*v**2 - 6. Let r(k) = -24*i(k) - 5*q(k). Suppose r(n) = 0. Calculate n.
-1, 0
Let b(c) be the first derivative of 3*c**4/32 - c**3/4 - 3*c**2/4 + 3*c - 11. Factor b(z).
3*(z - 2)**2*(z + 2)/8
Let i = -16 + 18. Let n(h) be the second derivative of 0*h**5 + 1/90*h**6 + 0*h**3 - i*h + 0 + 0*h**4 + 0*h**2. Factor n(q).
q**4/3
Let l(i) be the third derivative of -i**8/3192 + i**6/1140 - 14*i**2. Factor l(t).
-2*t**3*(t - 1)*(t + 1)/19
Let y(n) be the third derivative of n**8/100800 + n**7/25200 - n**5/30 + n**2. Let a(u) be the third derivative of y(u). Find t, given that a(t) = 0.
-1, 0
Let s(i) = -2*i + 1. Let q be ((-4)/(-3))/((-8)/(-12)). Let r be 1/(1*(-1)/q). Let p(o) = -o**2 - o + 1. Let m(b) = r*s(b) + 2*p(b). Factor m(v).
-2*v*(v - 1)
Let r(k) be the third derivative of k**8/112 - 3*k**7/70 + k**6/20 - 2*k**2. Determine v so that r(v) = 0.
0, 1, 2
Let z(s) = s**3 + s**2 + s. Let b(a) = -2*a**2 + 5. Let n(t) = 9*t**2 - 24. Let p(d) = 24*b(d) + 5*n(d). Let h(j) = -p(j) - z(j). Find o such that h(o) = 0.
0, 1
Factor 2/5*t**2 - 3/5*t - 1.
(t + 1)*(2*t - 5)/5
Factor -2*l - l**2 + 92 - 92.
-l*(l + 2)
Let f(j) be the first derivative of 2*j**5/25 - 2*j**3/15 - 7. Factor f(k).
2*k**2*(k - 1)*(k + 1)/5
Let j(f) be the first derivative of -2/3*f**3 + f**2 - 1/2*f**4 + 2*f + 5. Factor j(a).
-2*(a - 1)*(a + 1)**2
Suppose 5*m - 5*j - 20 = 0, 0 = 3*m - 2*j - 3*j - 4. Factor -102 + a**4 + 12*a**2 + 6*a**3 + 102 + m*a.
a*(a + 2)**3
Let k(r) be the third derivative of r**5/30 + r**4/4 + 2*r**3/3 + 6*r**2. Solve k(n) = 0.
-2, -1
Let l(m) = -29*m**4 - 16*m**3 + 32*m**2 + 21*m - 3. Let x(b) = 14*b**4 + 8*b**3 - 16*b**2 - 10*b + 2. Let s(o) = 2*l(o) + 5*x(o). Factor s(v).
4*(v - 1)*(v + 1)**2*(3*v - 1)
Let s = -3/4 + 1. Let h = 113/4 + -28. Solve s*x**5 + 0 + x**4 + x**2 + h*x + 3/2*x**3 = 0 for x.
-1, 0
Let k(j) be the first derivative of j**5/20 - j**4/48 + 3*j - 3. Let c(u) be the first derivative of k(u). Factor c(a).
a**2*(4*a - 1)/4
Factor 0 + 1/2*r**2 - r + r**3 - 1/2*r**4.
-r*(r - 2)*(r - 1)*(r + 1)/2
Let p = 5 - -9. Let f be (8/p)/(6/7). Find h such that 2/3 - f*h**2 + 0*h = 0.
-1, 1
Let f(b) = -4*b**3 - 10*b**2 - 6*b. Let c(v) = -9*v**3 - 21*v**2 - 13*v. Let k(p) = 6*c(p) - 13*f(p). Solve k(l) = 0 for l.
0, 2
Factor -j**4 - 2*j**4 + 3*j**5 - 14*j**3 + 8*j**3.
3*j**3*(j - 2)*(j + 1)
Solve -1/3*z**2 - 1/6*z**4 + 0*z + 0 - 1/2*z**3 = 0.
-2, -1, 0
Let w = 5 + -2. Let l(h) be the second derivative of 1/120*h**6 + 0*h**2 - 1/24*h**w + h + 0 + 1/16*h**4 - 3/80*h**5. Factor l(y).
y*(y - 1)**3/4
Suppose 5*z + 0*m - 45 = -5*m, -3 = -z + 5*m. Let y be (-6)/(3 - (z - 3)). Let b**2 + 2*b - 3 + y + b**2 = 0. What is b?
-1, 0
Let l(u) be the second derivative of -u**6/12 + u**5/10 + u**4 + 4*u**3/3 - u**2/2 + 2*u. Let q(y) be the first derivative of l(y). Find z, given that q(z) = 0.
-1, -2/5, 2
Suppose 15 = 4*d + 3. Let v(o) be the third derivative of o**2 + 0*o**4 + 0*o**d + 0*o - 1/30*o**5 + 1/60*o**6 + 0. Find j, given that v(j) = 0.
0, 1
Let a(m) = 6*m**2 + 9*m + 3. Let r(s) = 5*s**2 + 8*s + 3. Let y(t) = 3*t**3 - t**2 + t + 1. Let x be y(-1). Let z(d) = x*a(d) + 5*r(d). Factor z(f).
(f + 1)*(f + 3)
Solve 1/10*n**3 + 3/10 + 1/10*n**2 - 1/2*n = 0 for n.
-3, 1
Let k(d) be the third derivative of -d**6/24 + 2*d**5/3 + 95*d**4/24 + 25*d**3/3 + 20*d**2. Solve k(s) = 0 for s.
-1, 10
Let y(k) be the third derivative of k**8/448 - 3*k**7/70 + 3*k**6/16 - 7*k**5/20 + 9*k**4/32 - 2*k**2 + 4. Factor y(i).
3*i*(i - 9)*(i - 1)**3/4
Let p = -1 + 5. Solve 3*l - p*l**2 - 3*l + 0*l + 2*l**4 + 2 = 0 for l.
-1, 1
Suppose 0 = -2*f - f + 12. Suppose -f*s - 4*i + 2 = -2*i, -4*i - 8 = 2*s. Factor 3/2*k + 0 + 3/2*k**s.
3*k*(k + 1)/2
Let v = 244 + -1949/8. Let s(n) be the first derivative of v*n**2 + 1 + 1/12*n**3 + 1/2*n. Factor s(d).
(d + 1)*(d + 2)/4
Let q be (1/(-9))/((-10)/32). Let p = -2/15 + q. What is w in -p*w**3 - 2/9*w + 0 + 4/9*w**2 = 0?
0, 1
Let x(o) be the third derivative of -147*o**8/8 + 301*o**7/10 - 399*o**6/20 + 33*o**5/5 - o**4 - 5*o**2. Factor x(i).
-3*i*(6*i - 1)*(7*i - 2)**3
Let j(l) be the first derivative of 2*l**3/3 + 5*l**2 - 9. Determine b, given that j(b) = 0.
-5, 0
Let l be 35/(-14)*(-8)/10. Suppose -4*k - 3 + 9 = -l*q, 5*q + 15 = -3*k. Factor 0*r**4 - 1/4*r**3 + 0 + 0*r + 1/4*r**5 + k*r**2.
r**3*(r - 1)*(r + 1)/4
Suppose 3*p = -s + 4, -3*s + 6*s = -p + 12. Determine d, given that p - 1/4*d**3 - d - d**2 = 0.
-2, 0
Let b(z) be the first derivative of z**5/60 + z**4/24 - z**3/3 + z**2 - 2. Let a(o) be the second derivative of b(o). Factor a(f).
(f - 1)*(f + 2)
Suppose 0 = 2*y + 3*y - 40. Let b(p) = -p**3 + 7*p**2 + 9*p - 6. Let h be b(y). Find f, given that -f**3 + 3*f**2 - h*f**2 + 2*f**3 = 0.
-1, 0
Factor -1/2*x - 1 + 1/2*x**2.
(x - 2)*(x + 1)/2
Let c be (-3)/(-4 + 1)*4/24. Let l(n) be the first derivative of -n**2 + 4 + 2/3*n - c*n**4 + 2/3*n**3. Factor l(w).
-2*(w - 1)**3/3
Factor -3*t**5 - 65*t**4 - 3 - t + 6*t**2 + 6*t**3 + 62*t**4 - 2*t.
-3*(t - 1)**2*(t + 1)**3
Let w(c) be the first derivative of 1/4*c**4 + 0*c**3 + 0*c + 0*c**2 + 1/6*c**6 + 2/5*c**5 + 1. Factor w(x).
x**3*(x + 1)**2
Let s(f) be the third derivative of 2*f**2 + 0 - 1/40*f**4 + 1/15*f**3 + 0*f + 1/300*f**5. Factor s(t).
(t - 2)*(t - 1)/5
Let x = 650 - 1921/3. Let q = x + -9. Find s, given that -2/3*s + q*s**3 + 1/3*s**4 - 1/3 + 0*s**2 = 0.
-1, 1
Let h = 107 - 105. Let d(x) be the third derivative of 0*x + 3*x**h - 1/36*x**4 + 0 + 2/9*x**3 - 1/90*x**5. Factor d(m).
-2*(m - 1)*(m + 2)/3
Let u be 6/(-36)*3 - 2/(-4). Factor -3 - 9/2*i + 3/2*i**3 + u*i**2.
3*(i - 2)*(i + 1)**2/2
Let x(r) be the first derivative of -r**4/14 + 4*r**3/7 - 12*r**2/7 + 16*r/7 + 13. Factor x(c).
-2*(c - 2)**3/7
Let p(z) be the first derivative of z**4/8 + 3*z**3/2 + 6*z**2 + 8*z + 11. Factor p(m).
(m + 1)*(m + 4)**2/2
Let z(c) = -1. Suppose -6*y + 4*p = -y - 16, -2*y + 6 = -2*p. Let m(d) = 2*d**2 + 6*d. Let j(x) = y*z(x) - m(x). Suppose j(l) = 0. Calculate l.
-2, -1
Solve -1/2*w**3 + 1/4*w**2 + 2*w - 1 = 0 for w.
-2, 1/2, 2
Let v(d) = d**2 + d - 1. Let c(q) = 3*q + 1 - 9*q**2 - 2*q - 2*q + 3*q**2. Let l(b) = -c(b) - 5*v(b). Factor l(s).
(s - 2)**2
Let m(o) be the second derivative of o**6/120 + o**5/16 + 7*o**4/48 + o**3/8 + 9*o. Factor m(d).
d*(d + 1)**2*(d + 3)/4
Let x(f) = 14*f**2 + 2. Let t(y) = 9*y**2 + 1. Let g(k) = -8*t(k) + 5*x(k). Determine d so that g(d) = 0.
-1, 1
Let q be 13/(-494)*(-4)/(-2). Let t = 41/57 + q. Factor t*f - 2/3*f**2 + 0.
-2*f*(f - 1)/3
Let d(v) = v**2. Let t be d(2). Factor -f**5 - f - 2*f**t - f**2 + 2*f**5 + 3*f**2.
f*(f - 1)**3*(f + 1)
Let l(p) = -9*p**2 + 2*p - 7. Let o(w) = -5*w**2 + w - 4. Let h be (-13)/(-3) - 3/9. Let g(f) = h*l(f) - 7*o(f). Factor g(v).
-v*(v - 1)
Let u(j) = 4*j - 22. Let m be u(8). Suppose -11*x = -6*x - m. Factor -1/3*g**4 + 0*g + 0*g**x + 0 + 1/3*g**3.
-g**3*(g - 1)/3
Let h(u) = 10*u**2 + 60*u + 104. Let y(l) = 2*l**2 + 12*l + 21. Let s be -2*(1 + 6 + 0). Let n(a) = s*y(a) + 3*h(a). Let n(i) = 0. What is i?
-3
Let t(r) be the first derivative of -3*r**5/10 + 3*r**4/2 - 2*r**3 - 2. Let t(g) = 0. Calculate g.
0, 2
Let v be 3 + 2 + 2/(-2). Suppose -10*n**2 + 0*n**3 + 12*n + 4*n**3 - v*n - 2 = 0. What is n?
1/2, 1
Let d(h) = h**3 + h**2 + h + 4. Let z be d(0). Let b(r) = 1. Let s(q) = -2*q**3 - 6*q**2 - 6*q - 6. Let a(p) = z*b(p) + s(p). Find g, given that a(g) = 0.
-1
Solve -69*f**2 - 93*f**2 - 3 - 240 - 36*f**3 - 324*f - 3*f**4 = 0.
-3
Let a(t) = 2*t**2 + 28*t - 62. Let h be a(2). Factor 10/3 - 35/3*o**h - 25/3*o.
-5*(o + 1)*(7*o - 2)/3
Let r = 53/3 + -52/3. Let y be (3/(-18))/(2/(-4)). Find o, given that y*o**3 - 1/3*o + 1/3*o**4 + 0 - r*o**2 = 0.
-1, 0, 1
Let c = 7 + -3. Factor 15 - 2*t**2 - 12 - c*t**2 + 3*t**4.
3*(t - 1)**2*(t + 1)**2
Let g be (-2)/3*6 - 39/(-4). Determine n so that -5/4*n**5 + g*n**4 + 0 + n**2 + 2*n - 15/2*n**3 = 0.
-2/5, 0, 1, 2
Let i(k) be the first derivative of -k**4/54 - 2*k - 2. Let d(o) be the first derivative of i(o). Factor d(n).
-2*n**2/9
Solve -4*j - 13*j**3 - 10*j**3 - 8*j**3 + 2*j**2 + 35*j**3 - 2*j**4 = 0.
-1, 0, 1, 2
Let y be (-17)/((-357)/56) + (-1)/(-3). Fi