*5 - 3*y**4 - 2*y**3 - 2*y**2 + 2*y. Let b(q) = q**5 + 3*q**4 + 2*q**3 + 3*q**2 - 3*q. Let h(t) = -2*b(t) - 3*d(t). Factor h(m).
m**3*(m + 1)*(m + 2)
Let u(b) = -b**2 + 5*b - 3. Let k(x) = 8*x + 1 - 8*x - x. Suppose -4*g - 5*h + 22 = 0, 5*g + h - 5*h = 7. Let f(z) = g*k(z) + u(z). Let f(q) = 0. Calculate q.
0, 2
Let l be (-5)/(-20) + -2 + 36/16. Find f such that l*f**2 - 3/2 + f = 0.
-3, 1
Let s(r) = -9*r**5 - 15*r**4 + 3*r**3 + 15*r**2 + 8*r + 2. Let w(n) = n + 1. Let v(d) = s(d) - 2*w(d). Let v(l) = 0. What is l?
-1, -2/3, 0, 1
Let g(z) be the first derivative of -3*z**4/4 - 12*z**3 - 72*z**2 - 192*z + 3. Factor g(a).
-3*(a + 4)**3
Suppose y = 2*a + 1, -y + 3*a = -3*y + 16. Let d be (-6)/1*(-4)/6. Factor 1/4*i**y - 1/2*i**2 + 1/4*i - 1/2*i**3 + 1/4*i**d + 1/4.
(i - 1)**2*(i + 1)**3/4
Let h(q) be the third derivative of q**8/1176 - q**6/140 + q**5/105 - 2*q**2. Let h(n) = 0. What is n?
-2, 0, 1
Let g(a) = -25*a**3 - 239*a**2 - 614*a - 11. Let m(c) = -5*c**3 - 48*c**2 - 123*c - 2. Let i(l) = -2*g(l) + 11*m(l). Suppose i(q) = 0. Calculate q.
-5, 0
Let p(a) be the first derivative of -7*a**4/4 - 9*a**3/2 - 3*a**2 + 2*a - 3. Let c(z) be the first derivative of p(z). Factor c(t).
-3*(t + 1)*(7*t + 2)
Let o be 135/(-120)*((-12)/10)/1. Let s(w) be the first derivative of 3/4*w**2 + 15/4*w**4 - 3 + o*w**5 + 13/4*w**3 + 0*w. Solve s(v) = 0.
-1, -2/9, 0
Let f(y) be the first derivative of -y**3/6 + 3*y**2/4 - y - 10. Let f(z) = 0. Calculate z.
1, 2
Factor -1/2 - 5/8*i**2 + i + 1/8*i**3.
(i - 2)**2*(i - 1)/8
Let j be (4/(-10))/(2/(-10)). Suppose -o + 35 - 31 = 0. Let 0*n**o + 2/5*n**5 + 0 + 0*n + 0*n**j - 2/5*n**3 = 0. What is n?
-1, 0, 1
Let u(t) be the first derivative of -t**4/6 + 8*t**3/9 - t**2 + 35. Factor u(z).
-2*z*(z - 3)*(z - 1)/3
Let i(d) be the second derivative of -2*d**5/65 - 5*d**4/78 - d**3/39 - 5*d. Suppose i(r) = 0. What is r?
-1, -1/4, 0
Suppose 2*c - 14 = -n, 2*n - 4*c + 9*c = 33. Factor n - 6 + 3*k + k**2 + 4.
(k + 1)*(k + 2)
Let f(r) be the second derivative of r**5/120 + r**4/48 + 3*r**2/2 - 5*r. Let k(z) be the first derivative of f(z). Factor k(q).
q*(q + 1)/2
Let p(c) be the first derivative of 4/9*c**2 - c - 1 + 8/27*c**3 + 1/18*c**4. Let r(j) be the first derivative of p(j). Suppose r(m) = 0. Calculate m.
-2, -2/3
Let u(l) be the first derivative of -2*l**3/39 - 3*l**2/13 + 8*l/13 + 4. Determine y, given that u(y) = 0.
-4, 1
Let s(g) be the second derivative of g**7/63 - 4*g**6/45 + g**5/15 + 2*g**4/9 - g**3/3 - 20*g. Find f such that s(f) = 0.
-1, 0, 1, 3
Let z(i) be the first derivative of 4 + 0*i**2 - 3/20*i**5 + 4*i - 1/2*i**3 + 1/2*i**4. Let c(d) be the first derivative of z(d). Find p such that c(p) = 0.
0, 1
Factor -1/2 + 0*f**2 + 1/2*f**4 - f + f**3.
(f - 1)*(f + 1)**3/2
Let o(a) = 143*a**4 + 37*a**3 - 103*a**2 + 24*a. Let g(m) = 0 + 2*m + 48*m**4 + 12*m**3 + 6*m - 34*m**2 + 0. Let v(j) = 7*g(j) - 2*o(j). Factor v(b).
2*b*(b + 1)*(5*b - 2)**2
Let u = 17 + -15. Let t(v) be the third derivative of -4/315*v**7 - v**u + 0*v + 0*v**3 - 1/20*v**6 - 1/15*v**5 + 0 - 1/36*v**4. Determine d so that t(d) = 0.
-1, -1/4, 0
Let d = -317/3 - -107. Find s, given that 2/9*s**2 + 2 - d*s = 0.
3
Let b(j) be the first derivative of -12*j**3 - 48*j**2 - 64*j + 3. Factor b(h).
-4*(3*h + 4)**2
Let c(v) be the third derivative of -1/48*v**4 + 0 - 4*v**2 - 1/60*v**5 - 1/240*v**6 + 0*v**3 + 0*v. Factor c(a).
-a*(a + 1)**2/2
Let z = 9 - 13. Let c = z + 16. Suppose 3*d**3 + 8 + 0*d**3 + c*d**2 + 15*d - 2 = 0. What is d?
-2, -1
Factor 0*z**3 - z**4 + 0 + 1/2*z - 1/2*z**5 + z**2.
-z*(z - 1)*(z + 1)**3/2
Let i(r) = -15*r + 3. Let j be i(-1). Suppose -s = -5, -d - 3*s - j = -7*s. Factor 0 + 0*q + 10/7*q**4 - 6/7*q**3 - 4/7*q**d.
2*q**2*(q - 1)*(5*q + 2)/7
Let x(n) be the second derivative of n**4/36 + 4*n**3/3 + 24*n**2 - 8*n. What is o in x(o) = 0?
-12
Let q be 23/(-9) - (9 - 12). Factor -4/9*b**2 + 2/9*b + q - 2/9*b**3.
-2*(b - 1)*(b + 1)*(b + 2)/9
Let o = 15 + -11. Let m(s) = -3*s**5 + 2*s**4 + 4*s**3 - 2*s**2 + 3*s - 4. Let v(l) = -l**5 + l**4 + l**3 - l**2 + l - 1. Let i(q) = o*v(q) - m(q). Factor i(t).
-t*(t - 1)**3*(t + 1)
Let r = -6 - -8. Suppose -3*t = 6*t + 5*t. Factor -2/3*m**2 + 0*m - r*m**4 + t - 2*m**3 - 2/3*m**5.
-2*m**2*(m + 1)**3/3
Let j(u) be the first derivative of 2*u**2 + 2 - 1/9*u**5 - 8/27*u**3 + 7/27*u**4 + 0*u + 1/60*u**6. Let k(h) be the second derivative of j(h). Factor k(i).
2*(i - 2)*(3*i - 2)**2/9
Let o = 3/17 + -73/510. Let n(s) be the second derivative of -7/54*s**4 + 1/27*s**6 + 1/9*s**3 + 0 + 2/9*s**2 - o*s**5 - s. Solve n(v) = 0 for v.
-1, -2/5, 1
Let c = 22101/4 - 5553. Let l = c + 28. Find m such that 0 - l*m - 1/4*m**2 = 0.
-1, 0
Let r(u) be the second derivative of -u**7/42 + u**6/15 + u**5/5 - u**4/6 - u**3/2 + u + 24. Factor r(l).
-l*(l - 3)*(l - 1)*(l + 1)**2
Let u(f) = -4*f**2 - 30*f + 20. Let a be u(-8). Suppose -1/3*z**5 + 10/3*z**2 + 1/3 - 5/3*z + 5/3*z**a - 10/3*z**3 = 0. What is z?
1
Let g(v) = -v**3 - v**2 + 2*v + 4. Let s be g(-2). Let z(k) be the second derivative of -2*k + 0 - 1/3*k**s + k**2 - 1/3*k**3. Suppose z(w) = 0. Calculate w.
-1, 1/2
Let m = -10 + 1. Let f(v) = 2*v + 20. Let a be f(m). Factor 6/5*z - 2*z**a + 4/5.
-2*(z - 1)*(5*z + 2)/5
Let t(j) = 2*j + 9*j - j + 2*j**2. Let m(w) = w. Let q(l) = 4*m(l) - t(l). Factor q(a).
-2*a*(a + 3)
Let f(q) = -q**4 - q**3. Let l(z) = -4*z**5 + 14*z**4 + 8*z**3. Let y(n) = 36*f(n) + 4*l(n). Factor y(m).
-4*m**3*(m - 1)*(4*m - 1)
Let d(i) = -9*i**2 + 8*i + 1. Let f(w) = -4*w**2 + 4*w. Let m(t) = -2*d(t) + 5*f(t). Factor m(x).
-2*(x - 1)**2
Let z(m) be the second derivative of m**7/5460 - m**6/1170 + m**5/780 + m**3/2 - 4*m. Let c(h) be the second derivative of z(h). Factor c(t).
2*t*(t - 1)**2/13
Let g(j) be the third derivative of 0*j**3 + 2*j**2 + 1/18*j**4 + 0*j - 1/90*j**5 + 0. Factor g(q).
-2*q*(q - 2)/3
Let i(x) = 3*x**3 - x**2. Let s = 2 - 1. Let h be i(s). Factor -3*k**h - k**2 + 16*k**3 - 2*k**3.
2*k**2*(7*k - 2)
Let f(k) be the second derivative of -k**7/6300 + k**6/450 - k**5/100 + k**4/6 + 6*k. Let y(w) be the third derivative of f(w). Factor y(x).
-2*(x - 3)*(x - 1)/5
Let b = 10/33 - 8/99. Suppose -4/9 + 2/3*g**2 - 2/9*g**4 - b*g**3 + 2/9*g = 0. What is g?
-2, -1, 1
Let w(a) = 17*a**4 - 28*a**3 + 22*a**2 - 12*a + 1. Let c(n) = n**5 - 17*n**4 + 28*n**3 - 22*n**2 + 11*n - 1. Let d(o) = -4*c(o) - 3*w(o). Solve d(l) = 0 for l.
1/4, 1
Let j = -69 + 72. Find i such that -18/13*i**2 + 4/13*i + 0 + 8/13*i**j = 0.
0, 1/4, 2
Let l(n) be the third derivative of n**7/1365 - n**6/156 + 4*n**5/195 - n**4/39 + 47*n**2. Factor l(k).
2*k*(k - 2)**2*(k - 1)/13
Let p(g) be the first derivative of -2*g**6/15 + 4*g**5/5 - 7*g**4/5 - 4*g**3/15 + 16*g**2/5 - 16*g/5 + 4. Suppose p(j) = 0. Calculate j.
-1, 1, 2
Suppose 0*x - x + 11 = 0. Let n be (-38)/(-88) + (-2)/x. Factor 0*b**3 + n*b**4 + 1/4 - 1/2*b**2 + 0*b.
(b - 1)**2*(b + 1)**2/4
Let u(q) be the first derivative of q**4 + 2 + 3/2*q**2 - 14/3*q**3 - 7/6*q**6 + 2*q + 12/5*q**5. Let u(g) = 0. What is g?
-1, -2/7, 1
Let x(q) = -q**3 + q**2 + q + 1. Let g(c) = 6*c**3 - 5*c**2 - 6*c - 5. Let y(i) = -g(i) - 5*x(i). Factor y(a).
-a*(a - 1)*(a + 1)
Factor 1/8*w - 1/8*w**2 + 1/4.
-(w - 2)*(w + 1)/8
Let t(w) = w**2 + 6. Let x(n) = 5*n**2 + 25. Let o(q) = -18*t(q) + 4*x(q). Solve o(k) = 0.
-2, 2
Let u(m) = m**3 - 6*m**2 + 10*m - 10. Let g = -3 + 1. Let x = g + 3. Let b(z) = z + 1. Let a(f) = x*u(f) + 2*b(f). Factor a(q).
(q - 2)**3
Let y(a) be the first derivative of 3*a**5/5 + 9*a**4/16 - a**3/4 + 1. Factor y(h).
3*h**2*(h + 1)*(4*h - 1)/4
Let d be (15/(-18))/(1 + (-38)/18). Let 3/4*g**2 - 3/2*g + d = 0. What is g?
1
Let g be (-8)/(-12) + 0 - (-2)/(-3). Let r(s) be the first derivative of 4 - 1/15*s**3 + 1/20*s**4 + 0*s**2 + g*s. Factor r(c).
c**2*(c - 1)/5
Let x = -209 - -1883/9. Factor 0 + 0*s**2 + 2/9*s**3 + 0*s - x*s**4.
-2*s**3*(s - 1)/9
Let u be (2*1/162)/(2/6). Let f(a) be the second derivative of 1/90*a**5 - 3*a + 0 + 0*a**2 - u*a**3 + 1/54*a**4 - 1/135*a**6. Factor f(i).
-2*i*(i - 1)**2*(i + 1)/9
Let n(z) be the third derivative of -11/48*z**4 - 1/2016*z**8 - 1/4*z**3 + 0*z - 1/140*z**7 + 0 - 5*z**2 - 23/180*z**5 - 1/24*z**6. Factor n(u).
-(u + 1)**3*(u + 3)**2/6
Let k(r) be the third derivative of -r**8/8