/4 + 5*d**3/3 - 5*d**2/2 - 5*d - 36. Determine s, given that h(s) = 0.
-1, 1
Factor -2/3*i**3 - 10/9*i**2 + 0 - 4/9*i.
-2*i*(i + 1)*(3*i + 2)/9
Factor 1/3 + 22/3*o**2 - 28/3*o**3 - 8/3*o + 17/3*o**4 - 4/3*o**5.
-(o - 1)**4*(4*o - 1)/3
Let v be (-2 - -5) + 0 + 3. Let r be 11/5 - (-1)/(-5). Factor -3*o**2 + 3*o**3 - r*o**3 - v*o - 3*o**3 - 3*o**2 - 2.
-2*(o + 1)**3
Factor 0*m**3 - 2/13*m**4 + 0*m + 0 + 2/13*m**2.
-2*m**2*(m - 1)*(m + 1)/13
Let f(c) = -c + 3. Let y be f(5). Let m(s) = -4*s - 3. Let w be m(y). Let -2/5*b**w + 0 + 0*b + 2/5*b**3 + 2/5*b**2 - 2/5*b**4 = 0. Calculate b.
-1, 0, 1
Factor -j**2 + 0 - 1/2*j**3 + 3/2*j.
-j*(j - 1)*(j + 3)/2
Let i(o) be the second derivative of o**7/63 - o**6/15 + o**5/10 - o**4/18 - 22*o. Factor i(b).
2*b**2*(b - 1)**3/3
Let y(m) = 2*m - 4. Let b = -7 - -10. Let r be y(b). Determine j, given that 2/3 + 4/3*j + 2/3*j**r = 0.
-1
Let u be (-1)/(2/4*-1). Let x be 4/(1/(1/u)). What is s in 4/3*s - 2/9 - 8/3*s**x + 16/9*s**3 = 0?
1/2
Let a(f) = -2*f**2 - 4*f - 4. Let t = 20 - 9. Let c(x) = -6*x**2 - 13*x - 13. Let n(q) = t*a(q) - 4*c(q). Factor n(i).
2*(i + 2)**2
Let x(j) = j + 4. Let n be x(-4). Suppose n + 10 = 5*p. Suppose 0 - 1/4*d**3 + 1/4*d**p + 0*d = 0. Calculate d.
0, 1
Let s(v) be the first derivative of -v**8/336 + v**7/70 - v**6/40 + v**5/60 + 2*v**2 - 5. Let b(o) be the second derivative of s(o). Factor b(t).
-t**2*(t - 1)**3
Solve 4/7*k + 8/7 - 4/7*k**2 = 0.
-1, 2
Let p be 2 - ((-18)/3)/(-3). Let q(b) = -2*b - 2. Let l be q(-2). Factor -2 - c**2 + 0*c**l + 3*c + p.
-(c - 2)*(c - 1)
Let n be (-3 - -1 - -3)*14. Let s be -2*n*(-2)/16. Factor 1 - 9/2*u + s*u**2.
(u - 1)*(7*u - 2)/2
Suppose 0 = 6*a - a. Let h(f) be the first derivative of -1/15*f**3 - 1/10*f**2 - 2 + a*f. Find d such that h(d) = 0.
-1, 0
Let c be 2/2 + 5 + -2. Factor -7*m**c + 3*m**4 + m**4 + 3*m**3.
-3*m**3*(m - 1)
Let k(s) be the first derivative of s**5/10 - s**3 + 2*s**2 - 4*s - 2. Let q(z) be the first derivative of k(z). What is l in q(l) = 0?
-2, 1
Suppose 5*a + 2*y - 8 = 0, -1 = 2*a + 5*y - 0*y. Factor 80/7*l + 290/7*l**a + 8/7 + 470/7*l**3 + 50*l**4 + 14*l**5.
2*(l + 1)**3*(7*l + 2)**2/7
Let w(q) be the third derivative of -q**5/120 + q**4/6 + 3*q**3/4 + 12*q**2. Factor w(i).
-(i - 9)*(i + 1)/2
Let n(u) be the first derivative of 1/2*u + 1/10*u**5 + 1/2*u**4 + u**3 - 2 + u**2. Find i such that n(i) = 0.
-1
Solve 2*l**2 - 6*l + l**2 - 9*l**2 - 3*l**3 - 3*l**2 = 0 for l.
-2, -1, 0
Find u, given that 8/7*u**2 - 2/7*u - 8/7 + 2/7*u**3 = 0.
-4, -1, 1
Let w be (-12)/2 + 0 + 9 + -3. Suppose 0 + 3/4*j**3 + w*j + 3/4*j**2 = 0. What is j?
-1, 0
Let u be ((-5)/((-10)/(-4)))/(-4). Let z = -2 - -5/2. Factor -u*a**3 + 1/2*a**2 + 1/2*a - z.
-(a - 1)**2*(a + 1)/2
Let k = -2/41 - -88/123. Let b(j) = -4*j - 58. Let i be b(-15). Factor 0*o**4 + 0*o**i - k*o + 4/3*o**3 - 2/3*o**5 + 0.
-2*o*(o - 1)**2*(o + 1)**2/3
Let t(v) = -55*v**3 - 25*v**2 + 45*v + 15. Let k(r) = r + 1. Let y(s) = 15*k(s) - t(s). Suppose y(z) = 0. What is z?
-1, 0, 6/11
Let p(c) be the first derivative of 5*c**3/3 - 20*c - 2. Let p(t) = 0. Calculate t.
-2, 2
Suppose 0 = -2*t - 10*n + 11*n - 2, -n + 2 = 2*t. Let p(s) be the third derivative of 0*s - 1/18*s**4 + 0*s**3 - s**2 + t - 1/90*s**5. Solve p(g) = 0.
-2, 0
Let v(z) be the third derivative of -1/108*z**4 + 1/2*z**3 + 0 + 0*z + 4*z**2 - 1/135*z**5 - 1/540*z**6. Let n(r) be the first derivative of v(r). Factor n(k).
-2*(k + 1)*(3*k + 1)/9
Let y(a) = -a - 1. Let z be y(-4). Let w(t) = 12*t - 34. Let o be w(3). Factor 0 + 1/4*q**z + 1/2*q**o + 1/4*q.
q*(q + 1)**2/4
Let g be 1/(0/(-3) + 2). Let j(i) be the first derivative of 3 - i + 1/4*i**2 + g*i**3. Factor j(r).
(r + 1)*(3*r - 2)/2
Let q(y) = y**3 + 3*y**2 - y - 3. Let x(a) = a**3 + a**2 - a - 1. Let m(d) = -2*q(d) + 6*x(d). Factor m(z).
4*z*(z - 1)*(z + 1)
Suppose -20 = -3*s - 4*w, 2*s + 4*w - 3 = 9. Suppose 0 = -5*m + 3 + 7. Solve 0*k - s*k**2 + 3*k**3 + 4*k + 3*k**3 - m*k**2 = 0 for k.
0, 2/3, 1
Let y(g) be the second derivative of g**5/16 + 5*g**4/16 - 3*g + 2. Solve y(h) = 0.
-3, 0
Let q be 3*(-2 - 32/(-15)). Factor q + 4/5*a + 2/5*a**2.
2*(a + 1)**2/5
Let d(o) = -o - 3. Let m be d(-6). Factor -i**2 - m + 4 - 2*i - 2 + 0*i**2.
-(i + 1)**2
Let r be (-8)/(-14) + 10/(-140). Determine y so that 1/6*y**3 + 0*y**2 + 1/3 - r*y = 0.
-2, 1
Let z(f) = 2*f - 5. Let r be z(4). Factor g - 2*g + r*g + 2*g**2.
2*g*(g + 1)
Let r = 1718/5 + -342. Let w be 2*(-1)/(-3)*3. Factor -2/5 - w*t - r*t**3 - 16/5*t**2.
-2*(t + 1)*(2*t + 1)**2/5
Let s = -1 - 1. Let m be s/(-5) + (-238)/(-105). Find z such that 6*z**4 + 4*z**3 + 0 + m*z**5 + 0*z + 2/3*z**2 = 0.
-1, -1/4, 0
Let t(l) be the first derivative of -9*l**3 - 18*l**2 - 12*l + 5. Factor t(w).
-3*(3*w + 2)**2
Let h(s) be the first derivative of -2 - 1/6*s**3 - 3/2*s**2 - 9/2*s. Determine i so that h(i) = 0.
-3
Let m(q) = -3*q**2 + 1 - 2*q - 5 + 0*q + 4*q. Let x(c) = -c**2 - c. Let s(l) = m(l) - 2*x(l). Factor s(w).
-(w - 2)**2
Suppose 3*i + 10 = l, -7*l - 16 = -3*l + 2*i. Let m be (l/39)/(4/(-12)). Factor 2/13*y**2 - 4/13 + m*y.
2*(y - 1)*(y + 2)/13
Let x(g) be the first derivative of 2*g**3/27 - 2*g**2/9 + 4. Factor x(i).
2*i*(i - 2)/9
Let y(j) be the third derivative of 0*j**4 + 0*j - 7/600*j**6 + 1/420*j**8 + 0 + 1/210*j**7 + 0*j**3 - j**2 - 1/150*j**5. What is d in y(d) = 0?
-2, -1/4, 0, 1
Let f(v) be the first derivative of -5*v**4/2 - 8*v**3 - 9*v**2 - 4*v - 9. Find l, given that f(l) = 0.
-1, -2/5
Let i(p) be the first derivative of -4*p**5/5 + 8*p**4 - 28*p**3/3 - 14. Factor i(v).
-4*v**2*(v - 7)*(v - 1)
Factor 3/5*n**3 + 0 + 0*n + 6/5*n**2.
3*n**2*(n + 2)/5
Let n(k) = -k**3 + 1. Let x(i) = -15*i**3 - 5*i**2 + 5*i + 5. Let t(j) = 5*n(j) - x(j). Solve t(h) = 0 for h.
-1, 0, 1/2
Let l be 2/((-26)/3)*-1. Let d = l - -17/39. Factor 1/3*m**2 - d*m + 0.
m*(m - 2)/3
Let c(v) = -3*v - 4. Let l be c(-2). Let q(b) be the first derivative of 3/2*b**2 - 1/3*b**3 - l*b + 3. Factor q(k).
-(k - 2)*(k - 1)
Let g = 2 - 2. Suppose 0 = -g*b - 2*b. Factor 2/7*m**3 + 0*m**2 + b*m + 0 + 2/7*m**4.
2*m**3*(m + 1)/7
Factor -1/2 + p**3 - 3/2*p**2 + 3/4*p**5 - 7/4*p + 2*p**4.
(p - 1)*(p + 1)**3*(3*p + 2)/4
Let c(h) be the second derivative of 11/45*h**6 - 2/9*h**3 + 0 + 1/18*h**4 + 0*h**2 + 11/30*h**5 + 3*h + 1/21*h**7. Let c(o) = 0. Calculate o.
-2, -1, 0, 1/3
Let s(u) be the second derivative of -6*u + 0*u**2 - 1/20*u**6 + 0*u**3 + 0*u**4 + 0 + 3/20*u**5. Factor s(g).
-3*g**3*(g - 2)/2
Let n be (56/(-42))/((-2)/3). Let n*s**2 - 6*s**2 + 2*s**3 - 8*s + 2*s**3 = 0. What is s?
-1, 0, 2
Factor -1/6*w**5 + 0 + 1/3*w**4 - 1/6*w**3 + 0*w + 0*w**2.
-w**3*(w - 1)**2/6
Let a(q) be the first derivative of -69*q**3 + 68*q**3 + 2 + 6*q - 6*q**2 - 18*q. Solve a(v) = 0.
-2
Suppose -6 - 1 = 3*q + 5*a, 0 = 4*q - 2*a - 8. Let j = q - 1. Find i such that -4*i**2 + 0*i**3 + 4*i**4 - 2*i**3 + 2*i**5 + j*i**5 = 0.
-2, -1, 0, 1
Let m = -45/8 - -233/40. Factor -3/5 - 4/5*k - m*k**2.
-(k + 1)*(k + 3)/5
Let f = -45 + 48. Suppose -2/5*m**f + 2/5*m + 0*m**2 + 0 = 0. What is m?
-1, 0, 1
Let n(r) = r**2 - 36*r + 183. Let w be n(30). Factor 2/11*z**4 - 2/11*z - 2/11*z**2 + 2/11*z**w + 0.
2*z*(z - 1)*(z + 1)**2/11
Let u(n) be the second derivative of n**6/10 - n**4/4 + 18*n. Solve u(f) = 0.
-1, 0, 1
Factor 3*p**2 - 2*p**2 + 0*p - 3*p - 4*p**2.
-3*p*(p + 1)
Suppose 13 + 3 - 4*z**2 + 16*z + 52*z**3 - 56*z**3 = 0. What is z?
-2, -1, 2
Let i(m) be the third derivative of -m**8/1680 + m**7/350 - m**6/200 + m**5/300 + 7*m**2. Factor i(b).
-b**2*(b - 1)**3/5
Suppose 8 = t + 4. Factor 2/7 + 8/7*d + 12/7*d**2 + 8/7*d**3 + 2/7*d**t.
2*(d + 1)**4/7
Determine u, given that 12 + 18*u - 9*u**4 - 33/2*u**3 - 3/2*u**5 - 3*u**2 = 0.
-2, -1, 1
Let i(w) be the second derivative of 3*w + 1/6*w**3 + 0 + w**2 - 3/16*w**4 + 1/30*w**5. Let z(s) be the first derivative of i(s). Factor z(a).
(a - 2)*(4*a - 1)/2
Let j(k) = 4*k + 8. Let s be j(-2). Let s - 1/2*a**3 - 1/2*a**2 + 0*a = 0. Calculate a.
-1, 0
Let g(y) = y**3 - 5*y**2 + 2. Let r be g(5). Suppose 0*b = r*b. Let b*o**3 + 3*o**3 + 6*o**4 - 3*o**4 = 0. What is o?
-1, 0
Let p(i) be the second derivative of -1/10*i**5 + 1/21*i**7 + 0*i**3 + 0*i**2 + 0 + 1/6*i**4 - 7*i - 1/15*i**6. Factor p(w).
2*w**2*(w - 1)**2*(w + 1)
Let t be -2*((-14)/24 - 7/(-14)). Let