d**2 - 1 - 8*d + 3 - 8*d**t + 2*d**4.
2*(d - 1)**4
Let s = 4 - 2. Let u(r) be the third derivative of r**s + 1/21*r**3 + 0 + 1/42*r**4 + 1/210*r**5 + 0*r. Let u(c) = 0. Calculate c.
-1
Determine r so that 4/5*r**3 - 4 - 4/5*r + 4*r**2 = 0.
-5, -1, 1
Let f(k) = k**2 + 1. Let q(r) = r**3 - r**2 - r - 1. Let g = -7 + 6. Let l(x) = g*q(x) - f(x). Factor l(j).
-j*(j - 1)*(j + 1)
Let u be (5 - 1)*4/11. Solve -10/11*r**2 - 2/11*r**3 - 8/11 - u*r = 0.
-2, -1
What is i in -5*i**3 - 5*i**4 + 3*i + 45*i**3 + 47*i + 430*i**2 - 335*i**2 = 0?
-1, 0, 10
Suppose 0*o - 3*o - 18 = 0. Let w = o + 9. Find m, given that -4*m**4 - 16*m**w + 6*m - 2*m**4 - 6*m**2 - 2*m = 0.
-2, -1, 0, 1/3
Let h(n) = -n + 10. Let z be h(6). Suppose z*w = 5*o - 12, 0 = 5*o + 5*w - 0*w - 30. Factor 1/4*p + p**o + p**2 + 0 + 1/4*p**5 + 3/2*p**3.
p*(p + 1)**4/4
Determine w so that 3*w + 0*w**3 + 0*w**3 - 3*w**3 = 0.
-1, 0, 1
Let o(h) be the second derivative of -h**8/3920 - h**7/980 - h**6/840 + 3*h**3/2 - 4*h. Let w(n) be the second derivative of o(n). Factor w(a).
-3*a**2*(a + 1)**2/7
Let o(w) be the second derivative of -3*w**2 - 2*w + 0 + 1/10*w**5 - 5/6*w**4 + 7/3*w**3. Determine p, given that o(p) = 0.
1, 3
Let n(w) = -2*w**3 - 8*w**2 + 16*w - 12. Let v(t) = -2*t**3 - 9*t**2 + 15*t - 13. Let j(y) = 6*n(y) - 4*v(y). Let j(b) = 0. Calculate b.
-5, 1
Suppose -2/5*b**4 - 2/5 + 4/5*b**3 - 2/5*b**5 - 2/5*b + 4/5*b**2 = 0. Calculate b.
-1, 1
Let d be (8/(-10) - (-11 + 10))*1. Find n, given that -4/5*n**4 + 0*n + d*n**3 + 0 - n**5 + 0*n**2 = 0.
-1, 0, 1/5
Let z(v) be the first derivative of 6*v**5/5 + v**4/14 - 4*v**3/21 - 20. What is y in z(y) = 0?
-1/3, 0, 2/7
Find r such that -385*r**3 - 3*r**4 + 16*r + 427*r**3 - 25*r**2 - 13*r**4 - 19*r**2 + 2*r**5 = 0.
0, 1, 2, 4
Let y be -21 + 0 + (-6)/(-2). Let t be (y/20)/(42/(-35)). Factor 0*j - t*j**5 - 7/4*j**3 + 1/2*j**2 + 0 + 2*j**4.
-j**2*(j - 1)**2*(3*j - 2)/4
Let k be (-6)/(-20)*(-10)/(-1620). Let b(x) be the third derivative of 0*x**5 - k*x**6 + 0 + 0*x**3 + 2*x**2 + 0*x + 1/108*x**4. What is z in b(z) = 0?
-1, 0, 1
Factor 0*o**2 + 3/4*o**3 - 1/4*o**4 + 0 - o.
-o*(o - 2)**2*(o + 1)/4
Let y be 3/(-2)*(-320)/(-216). Let o = 50/9 + y. Factor -8/3*c**4 - 2/3*c - 16/3*c**3 + 0 - o*c**2.
-2*c*(c + 1)*(2*c + 1)**2/3
Let j be -2 + 2 + 3 + (4 - 7). Factor 0 + j*q**2 - 2/5*q**4 + 0*q**3 + 0*q.
-2*q**4/5
Suppose 90 + 285*x + 76*x**2 - 95*x**2 - 35*x**4 - 185*x**3 - 136*x**2 = 0. What is x?
-3, -2/7, 1
Let u(n) be the second derivative of -1/9*n**4 + 5/18*n**3 + 1/60*n**5 - 6*n + 0 - 1/3*n**2. Factor u(o).
(o - 2)*(o - 1)**2/3
Let i(g) be the first derivative of 24*g + 3 - 3/4*g**4 - 18*g**2 + 6*g**3. What is p in i(p) = 0?
2
Factor 0*m**3 + 3 + 11*m**2 - 3*m**3 - 9*m - 2*m**2.
-3*(m - 1)**3
Suppose 0 = -5*f + h + 26, 2*f + 3*h - 7*h - 14 = 0. Factor 4*q**3 - f*q**3 + q**3 + q**3 + q**2.
q**2*(q + 1)
Factor 8*s + 5*s**2 - 2*s**4 + 10*s**3 - 5*s**2 - 16*s**2.
-2*s*(s - 2)**2*(s - 1)
Let k(a) be the second derivative of -a**5/30 + a**3/3 + a**2/2 - 2*a. Let s(z) be the first derivative of k(z). Find t such that s(t) = 0.
-1, 1
Let o(j) = j**3 - 2*j**2 - 3*j + 2. Let q be o(3). Let m - 2 + 2*m**3 + 3*m + 2*m**q - 6*m = 0. Calculate m.
-1, 1
Let m be 1/2 - -1 - (-27)/54. Let 0 - 2/3*d**m - 2/3*d = 0. Calculate d.
-1, 0
Let r(a) = -6*a**3 + 10*a**2 - 2*a - 6. Let f(p) = -12*p**3 + 20*p**2 - 4*p - 13. Let d = -11 - -7. Let i = -10 + 19. Let o(t) = d*f(t) + i*r(t). Factor o(x).
-2*(x - 1)**2*(3*x + 1)
Let l = -216/5 - -44. Find w, given that 2/5*w**2 + 2/5 + l*w = 0.
-1
Factor 9*v + v**3 + 15*v**2 + 20*v**2 - 29*v**2.
v*(v + 3)**2
Suppose 2 = -5*s + 6*s. Suppose 0 = -3*a + 5*f - 5, 6*a - 4*a - 4*f = -4. Solve 2/7*n - 2/7*n**s + a = 0 for n.
0, 1
Let j(u) be the second derivative of u**4 + 1/3*u**3 - 2/5*u**5 - 2*u**2 + 0 - 3*u + 1/7*u**7 - 4/15*u**6. Let j(y) = 0. Calculate y.
-1, -2/3, 1
Let x(i) be the third derivative of i**7/210 + i**6/120 - i**5/60 - i**4/24 + 46*i**2. Factor x(r).
r*(r - 1)*(r + 1)**2
Suppose -i - 4*p = -11, -4*i = 5*p - 0*p - 22. Find s such that -3*s**3 + 5*s**i - 2*s - s**5 + s = 0.
-1, 0, 1
Let v(l) be the first derivative of l**4/54 - l**2/9 + 3*l + 5. Let d(w) be the first derivative of v(w). Factor d(a).
2*(a - 1)*(a + 1)/9
Suppose 0 = -5*u + 1222 + 393. Let v = -2257/7 + u. Suppose 0*l**3 + 2/7*l**5 - 2/7*l - v*l**2 + 4/7*l**4 + 0 = 0. Calculate l.
-1, 0, 1
Let m(b) = b**3 - 7*b**2 + b - 2. Let u be m(7). Factor 5*s**2 - u*s**2 - 4*s + 6*s + 2*s**2.
2*s*(s + 1)
Let x be ((-51)/(-340))/(1/8). Let c be (3/(-20))/(1/(-12)). Determine l, given that 3/5 - c*l + x*l**2 = 0.
1/2, 1
Determine s, given that -3/7*s**2 - 6/7*s + 0 + 9/7*s**4 + 12/7*s**3 = 0.
-1, 0, 2/3
Let m(g) be the first derivative of 2/25*g**5 + 0*g**2 + 0*g - 1/10*g**4 - 2/15*g**3 + 1/15*g**6 - 2. Suppose m(x) = 0. What is x?
-1, 0, 1
Let u(d) be the first derivative of -d**4/14 + 2*d**3/21 + d**2/7 - 2*d/7 + 8. Factor u(a).
-2*(a - 1)**2*(a + 1)/7
Let b(x) = -x**2 + 6*x - 6. Let o be b(4). Factor -4*l**2 + 0*l**2 + 4*l + 6*l**o.
2*l*(l + 2)
Let m(n) be the first derivative of n**3 + 2*n**2 + n - 4. Factor m(f).
(f + 1)*(3*f + 1)
Let u(s) be the third derivative of -s**8/1176 - 2*s**7/735 + s**5/105 + s**4/84 - 5*s**2. Solve u(x) = 0.
-1, 0, 1
Suppose 4*h = -4 - 0. Let o = 1 + h. Factor 4*u**4 + o + 3*u**5 + 1/3*u - 4/3*u**2 - 2/3*u**3.
u*(u + 1)**2*(3*u - 1)**2/3
Let b(m) = 35*m**2 - 140*m - 20. Let c(n) = 5*n**2 - 20*n - 3. Let y(i) = -3*b(i) + 20*c(i). Determine o so that y(o) = 0.
0, 4
Suppose -2*b - 30 + 142 = 0. Let n be (b/(-49))/(-2 + 1). Factor 2/7*p**4 + n - 6/7*p**2 - 4/7*p**3 + 8/7*p.
2*(p - 2)**2*(p + 1)**2/7
Let x(r) be the first derivative of r**3/2 - 55. Determine v so that x(v) = 0.
0
Suppose -22 - 29 = -17*n. Suppose -4/3 + 0*h**2 - 2/3*h**n + 2*h = 0. Calculate h.
-2, 1
Let b(h) be the second derivative of 49/80*h**5 + 0 + 77/48*h**4 - 4*h + 4/3*h**3 + 1/2*h**2. Factor b(g).
(g + 1)*(7*g + 2)**2/4
Let c(h) be the second derivative of -h**6/300 - h**5/150 + h**4/60 + h**3/15 + h**2/2 - 3*h. Let j(t) be the first derivative of c(t). Factor j(i).
-2*(i - 1)*(i + 1)**2/5
Let p = -231/16 + -21/16. Let k = p - -16. Factor 1/4 - 1/4*r**2 - k*r**3 + 1/4*r.
-(r - 1)*(r + 1)**2/4
Let b = 21 + -11. Suppose 3*u - t = b, -5*u - 2*t = 3*t + 10. Factor -2/9 + 2/9*c**3 + 2/3*c - 2/3*c**u.
2*(c - 1)**3/9
Let k(f) be the first derivative of -f**6/18 + f**5/5 + f**4/12 - 11*f**3/9 + 2*f**2 - 4*f/3 - 4. Factor k(w).
-(w - 2)*(w - 1)**3*(w + 2)/3
Let u(s) = s**3 - 5*s**2 + 7*s + 9. Suppose -4*f = -3*z - 3*f - 39, 0 = -2*z + f - 27. Let b(c) = 3. Let y(h) = z*b(h) + 3*u(h). Factor y(q).
3*(q - 3)*(q - 1)**2
Factor 40*s - 11*s**3 - 92*s - 68*s + 145*s**2 - 34*s**3 + 20.
-5*(s - 2)*(s - 1)*(9*s - 2)
Let s(v) be the third derivative of -v**8/672 + v**7/105 - v**5/12 + v**4/48 + v**3/2 + v**2. Solve s(g) = 0.
-1, 1, 2, 3
Let q(l) = -4*l**2 + 6*l - 7. Let z(f) = f**2 - 2*f + 2. Let v(m) = -6*q(m) - 21*z(m). Factor v(c).
3*c*(c + 2)
Let z = -2 + 7. Determine c so that -3*c**z - c**2 - 10*c + 9*c + c**4 + 3*c**3 + c**5 = 0.
-1, -1/2, 0, 1
Let d(z) be the first derivative of -1/3*z**3 - 3/5*z**5 - 3/4*z**4 + 0*z + 0*z**2 - 5 - 1/6*z**6. Factor d(m).
-m**2*(m + 1)**3
Let w = 2 - 2. Let n(j) be the third derivative of 0*j**3 + 0*j + 0 + 1/630*j**7 - 1/360*j**6 + 0*j**4 + w*j**5 - j**2. Factor n(c).
c**3*(c - 1)/3
Let v = -14/15 - -8/5. Factor 2/3*p - 2/3*p**3 + 2/3 - v*p**2.
-2*(p - 1)*(p + 1)**2/3
Suppose -4*b - 2*b = -30. Let j(v) be the first derivative of 0*v + 0*v**2 + 2/15*v**3 + 2 - 1/5*v**4 + 2/25*v**b. Determine c so that j(c) = 0.
0, 1
Let o be (2/(-30))/(8/(-60)). What is u in 0 + o*u**5 + 5/6*u**4 - 1/3*u - 1/6*u**3 - 5/6*u**2 = 0?
-1, -2/3, 0, 1
Let k be (40 - -2)*(-5)/(-1 - 19). Factor k*b**2 - 15/2*b**3 - 6 + 12*b.
-3*(b - 2)*(b + 1)*(5*b - 2)/2
Let k(o) be the second derivative of -5*o**4/12 + 5*o**3/2 - 5*o**2 - 7*o. Find b such that k(b) = 0.
1, 2
Let r(b) = b**3 + 13*b**2 + 11*b - 10. Let k be r(-12). Solve -9*x**k - 3*x - x - 3*x**4 + 6*x**4 - 2*x = 0 for x.
-1, 0, 2
Let f(i) be the first derivative of -i**6/6 - i**5/5 + i**4/4 + i**3/3 + 12. Factor f(j).
-j**2*(j - 1)*(j + 1)**2
Let t be 6/(-2)*10/(-6). Let x(o) = -3*o**3 + 9*o**2 + 2*o. Let d(m) = -8*m