+ 9*k + n*k**3 + 9*k**2 = 0.
-1
Let k(a) = -2*a - 6. Let m be k(-5). Find r such that 7*r - m - 12*r + 0 - r**3 + 2 - 4*r**2 = 0.
-2, -1
Let p = 103 + -411/4. Factor 1/4 + p*l**2 + 1/2*l.
(l + 1)**2/4
Let d = -4 + 2. Let o(j) = j**4. Let f(n) = 8*n**4 + n**3 - n**2 - n. Let p(b) = d*f(b) + 14*o(b). Factor p(s).
-2*s*(s - 1)*(s + 1)**2
Let p be ((-5)/(-10))/(1/10). Suppose -3*j - 3 = 5*z, -5*j + 47 = -5*z + 12. Suppose 2*a**p + a**4 - 5*a**j + 4*a**4 - 4*a**4 + 2*a**3 = 0. What is a?
0, 1
Let w(q) be the third derivative of -q**6/160 + q**4/32 + 3*q**2. Factor w(l).
-3*l*(l - 1)*(l + 1)/4
Let f(z) = -5*z**3 - 4*z**2 + z - 4. Let y(m) = 14*m**3 + 11*m**2 - 3*m + 11. Let j be -11*(2 - 3)/(-1). Let g(u) = j*f(u) - 4*y(u). Factor g(t).
-t*(t - 1)*(t + 1)
Let b be ((-2)/(-5))/(14/(-30)*-3). Factor 4/7*z**2 + 2/7*z - 4/7 - b*z**3.
-2*(z - 2)*(z - 1)*(z + 1)/7
Let g(m) be the first derivative of m**4/6 + 8*m**3/9 + 5*m**2/3 + 4*m/3 - 34. Factor g(p).
2*(p + 1)**2*(p + 2)/3
Let s(g) be the third derivative of 0 + g**2 + 0*g - 1/9*g**3 - 1/180*g**5 - 1/24*g**4. Let s(f) = 0. What is f?
-2, -1
Solve 5/3*t**2 - 1/3*t**3 + 1 - 7/3*t = 0 for t.
1, 3
Let z(f) be the first derivative of -3*f**5/5 + 2*f**3 - 3*f + 11. Let z(r) = 0. Calculate r.
-1, 1
Find d such that -14*d**4 + 2*d**4 + d**4 + 4*d**2 + 6*d**3 - 4*d**5 + 5*d**4 = 0.
-2, -1/2, 0, 1
Let w = -29511 + 148543/5. Let z = w - 197. Determine f so that f**2 - 1/5*f + 0 - 9/5*f**4 - z*f**3 = 0.
-1, 0, 1/3
Let h(y) be the third derivative of -1/50*y**6 + 0*y + 0*y**3 - 2*y**2 - 1/840*y**8 + 2/75*y**5 + 4/525*y**7 - 1/60*y**4 + 0. Factor h(l).
-2*l*(l - 1)**4/5
Let v(n) be the second derivative of -1/42*n**4 + 1/21*n**3 + n - 1/70*n**5 + 0 + 0*n**2 + 1/105*n**6. Find r, given that v(r) = 0.
-1, 0, 1
Suppose 12 = -4*s - 2*v - 2*v, -4*s - v - 3 = 0. Suppose -22 = -5*o - z, -4*o - 4*z - 14 = -22. Factor 2/5*r**4 + s + 2/5*r**3 - 2/5*r**2 - 2/5*r**o + 0*r.
-2*r**2*(r - 1)**2*(r + 1)/5
Let o be (6/(-9))/(8/12). Let i be -1 + -2 - 3*o. Factor 2/9*a**2 + i + 4/9*a.
2*a*(a + 2)/9
Let h = -106 - -532/5. Let i be (-6)/(-75)*(0 + 20). Find b, given that -8/5 - h*b**4 - i*b + 6/5*b**2 + 4/5*b**3 = 0.
-1, 2
Let q(b) be the second derivative of 1/15*b**6 + 0*b**2 - 2*b + 0 - 1/6*b**4 + 1/10*b**5 - 1/3*b**3. Factor q(i).
2*i*(i - 1)*(i + 1)**2
Let b = 8 - 6. Factor -6*r**b - 5*r**5 + 2*r**5 + 3*r - 15*r**4 + 21*r**4.
-3*r*(r - 1)**3*(r + 1)
Let s = 250987/8037 - 6/893. Let i = -31 + s. Factor 10/9*h**2 - 4/9*h - 8/9*h**3 + i*h**4 + 0.
2*h*(h - 2)*(h - 1)**2/9
Let f(w) be the first derivative of -w**5 - 5*w**4/4 - 34. What is z in f(z) = 0?
-1, 0
Let d be ((-11)/(-132))/(4/12). Let -2 - 3/2*s**2 + 3*s + d*s**3 = 0. What is s?
2
Suppose -2*k - 1 + 5 = 0. Determine x so that -59*x**2 - 8 - 8*x**2 + 15*x**k - 46*x**2 - 56*x = 0.
-2/7
Let z(r) be the second derivative of -r**8/30240 - r**7/5670 - r**6/3240 + r**4/4 - 5*r. Let a(o) be the third derivative of z(o). Let a(u) = 0. Calculate u.
-1, 0
Let z(y) be the first derivative of -2*y**4/3 - 14*y**3/9 + 2*y**2/3 + 10. Let z(u) = 0. Calculate u.
-2, 0, 1/4
Suppose -4*n - 11 = 3*i - 25, 0 = i - 2. Suppose 3*b = n*b. Factor 0*t + 0 + 2/5*t**3 + b*t**2.
2*t**3/5
Let j(w) = 3*w - 1. Let y be j(3). Let g be 6/(-3 + 1) + y. Factor -3*x**4 - 6 - 7*x**3 - x**3 + 6*x**2 + 2*x**3 + 3 + 3*x**g + 3*x.
3*(x - 1)**3*(x + 1)**2
Let y be (-35)/(-150) + (-12)/(-120). Solve p**2 - p - 1/3*p**3 + y = 0.
1
Let g = -341/35 - -53/5. Factor 2/7*y**2 + g*y + 0.
2*y*(y + 3)/7
Let k(d) be the second derivative of -1/48*d**4 - 1/24*d**3 + 0 + 0*d**2 + 8*d. Factor k(a).
-a*(a + 1)/4
Let n(k) be the third derivative of k**8/2184 + 2*k**7/1365 - k**5/195 - k**4/156 - 20*k**2. Suppose n(b) = 0. Calculate b.
-1, 0, 1
Let c = 104 - 516/5. Factor -c*h + 0*h**2 - 2/5 + 4/5*h**3 + 2/5*h**4.
2*(h - 1)*(h + 1)**3/5
Suppose 3*u = 35 + 7. Let d be (4/7)/(12/u). Factor 4/3*k + 0 + d*k**2.
2*k*(k + 2)/3
Factor 21/2*k**4 + 0 - 18*k**3 + 3*k + 9/2*k**2.
3*k*(k - 1)**2*(7*k + 2)/2
Let c(p) be the first derivative of -10*p**5/3 + 15*p**4/2 - 16*p**3/3 + 4*p**2/3 + 23. Factor c(l).
-2*l*(l - 1)*(5*l - 2)**2/3
Let y(g) be the third derivative of g**8/784 - 3*g**6/140 + 2*g**5/35 - 3*g**4/56 - 7*g**2. Factor y(j).
3*j*(j - 1)**3*(j + 3)/7
Let n = 21 - 21. Solve -5/3*o**5 + 2/3*o**3 + o**4 + 0*o + 0 + n*o**2 = 0.
-2/5, 0, 1
Let 10/9*d**2 + 4/3*d**3 - 4/9*d - 2/9 = 0. Calculate d.
-1, -1/3, 1/2
Let f(g) be the first derivative of 0*g**2 + 0*g + 4 - 2/39*g**3 - 1/26*g**4. Factor f(p).
-2*p**2*(p + 1)/13
Let p(g) be the first derivative of -g**4/48 - g**3/24 + 2*g - 2. Let h(q) be the first derivative of p(q). Factor h(z).
-z*(z + 1)/4
Let t(m) be the second derivative of -5*m**4/12 + 5*m**3/3 + 20*m**2 + 23*m. Find n such that t(n) = 0.
-2, 4
Find f such that 0*f - 1/2*f**2 + 0 + 1/2*f**3 = 0.
0, 1
Factor -1/6*x**2 + 0 - 1/3*x.
-x*(x + 2)/6
Let z(m) be the third derivative of 0*m**4 - 9*m**2 + 0 + 0*m**5 - 1/210*m**6 + 0*m**3 + 0*m. Factor z(k).
-4*k**3/7
Let l(g) = g**2 + 5*g - 1. Let p be 112/(-18) - 12/(-54). Let z be l(p). Factor 0*q**2 + 1/3*q**z + 1/3*q + 0 - 2/3*q**3 + 0*q**4.
q*(q - 1)**2*(q + 1)**2/3
Let y(b) = b**3 - 4*b**2 + 4*b. Let d be y(3). Determine x, given that 0*x + x**3 + 16 - x**4 - 2*x - 14*x + 3*x**d = 0.
-2, 2
Let t(u) = 4*u**3 - 18*u**2 + 52*u + 2. Let l(z) = 5*z**3 - 17*z**2 + 53*z + 3. Let q(b) = -2*l(b) + 3*t(b). Factor q(r).
2*r*(r - 5)**2
Suppose 2*g + 13 + 3 = 0. Let y be g/(-28) - 80/(-14). Find q, given that 4*q**5 - 3*q**2 + 2*q**5 + y*q**3 - 4*q**5 - 6*q**4 + q**2 = 0.
0, 1
Let s(g) = -g**3 + 6*g**2 + 2. Let h(r) = 3*r**2 + 4*r + 2. Let c be h(-2). Let l be s(c). Solve 3 + o**2 + 2*o**3 - 2*o**2 + 1 + l*o**4 - 2*o - 5*o**2 = 0.
-2, -1, 1
Find f, given that 1/2 - f - 1/2*f**4 + f**3 + 0*f**2 = 0.
-1, 1
Let p(v) = v**2 + v. Let c(j) = -6*j**2 - 15*j - 9. Let g(t) = c(t) + 3*p(t). Suppose g(o) = 0. What is o?
-3, -1
Suppose -5*i - 5 = 4*j, -4*j = -2*i - 0*j + 26. Suppose -1/2 - 2*s**i - 2*s - 3*s**2 - 1/2*s**4 = 0. What is s?
-1
Let i(f) be the second derivative of 5*f**4/54 + f**3/9 - 2*f**2/9 - 4*f. Find y, given that i(y) = 0.
-1, 2/5
Let r(b) be the second derivative of 2*b**5/65 + 11*b**4/26 + 24*b**3/13 + 16*b**2/13 + 15*b. Factor r(s).
2*(s + 4)**2*(4*s + 1)/13
Let i(y) = -10*y + 5. Let k(d) = d**2 - d - 1. Let s(x) = -i(x) + 5*k(x). Factor s(a).
5*(a - 1)*(a + 2)
Let x(d) be the third derivative of d**7/840 - d**5/40 - d**4/24 + 2*d**2. Let m(u) be the second derivative of x(u). Factor m(v).
3*(v - 1)*(v + 1)
What is v in 12*v + 4*v**2 - 2*v**3 - 6*v - 72 + 24*v = 0?
-4, 3
Let x(l) = -9*l - 169. Let y be x(-19). What is h in 2/5*h**y + 0 + 2/5*h = 0?
-1, 0
What is v in -4*v**2 + 10*v + 2*v**2 + 12 + 0*v**2 = 0?
-1, 6
Let r(b) be the second derivative of -b**5/4 + 45*b**4/2 - 810*b**3 + 14580*b**2 + b - 27. Factor r(x).
-5*(x - 18)**3
Suppose -4*b = -0*b - 5*f - 14, -2*b + f = -4. Let w be ((5 - 0)/b)/1. Factor p**4 + 0 + 1/3*p**3 + 2/3*p**w + 0*p**2 + 0*p.
p**3*(p + 1)*(2*p + 1)/3
Let j(c) = -8*c**4 - 10*c**3 - 10*c**2 - 8*c. Let u(w) = 7*w**4 + 10*w**3 + 11*w**2 + 8*w. Let m(l) = -5*j(l) - 6*u(l). Factor m(z).
-2*z*(z + 1)*(z + 2)**2
Let w be -8*((-205)/(-30) - 7). Factor -w + 8/3*d - d**2.
-(d - 2)*(3*d - 2)/3
Let k = 32/9 - 26/9. Let v(w) be the first derivative of 0*w - 2/9*w**3 + 2 + k*w**2. Factor v(u).
-2*u*(u - 2)/3
Let u(q) = q**2 - 8*q - 16. Let v(i) = i**2 - 7*i - 15. Let m(b) = 3*u(b) - 4*v(b). Determine w, given that m(w) = 0.
-2, 6
Let t(l) be the first derivative of 2/11*l**4 - 2 - 2/55*l**5 + 4/11*l**2 - 2/11*l - 4/11*l**3. Determine a, given that t(a) = 0.
1
Suppose 0*d + 0 - 1/4*d**3 + 0*d**2 = 0. What is d?
0
Suppose -62 = -8*h - 30. Let 0 + s**3 - 1/2*s**5 + 0*s**h - 1/2*s + 0*s**2 = 0. What is s?
-1, 0, 1
Let z = 961/2 - 479. What is j in -15/4*j - z + 15/4*j**3 + 3/2*j**2 = 0?
-1, -2/5, 1
Let v = -602/3 + 6628/33. Factor -v*s**2 + 2/11 + 2/11*s**3 - 2/11*s.
2*(s - 1)**2*(s + 1)/11
Let d(r) be the second derivative of 3*r + 0*r**2 - 1/18*r**4 - 1/9*r**3 + 0. Factor d(o).
-2*o*(o + 1)/3
Let k(m) = -m**2 - 8*m - 9. Let w be k(-6). Factor w*s - 11*s + 89*s**4 + 72*s**2 + 163*s**4 - 98*s**5 - 310*s**3 + 92*s**3.
-2*s*(s - 1)**2*(7*s - 2)**2
Let j(r) = 21*r**3 - 41*r