-2, 0
Factor 3 - 25*k + 5*k**3 - 13 + 10*k.
5*(k - 2)*(k + 1)**2
Factor -1/6*c**2 - 8/3 - 4/3*c.
-(c + 4)**2/6
Let u be 0 + 0 + 0/(-4). Let -2*x**3 - x + 9/2*x**2 + u = 0. Calculate x.
0, 1/4, 2
Suppose -5*u + 24 + 46 = 0. Let o = u + -12. Find s such that 1/2 - 1/2*s**o + 1/2*s - 1/2*s**3 = 0.
-1, 1
Let x(u) be the second derivative of u**4/9 + 2*u**3/9 - 10*u. Factor x(k).
4*k*(k + 1)/3
Let c(o) be the third derivative of -1/180*o**6 + 1/630*o**7 + 1/180*o**5 + 0*o**4 + 0*o**3 + 0*o - 6*o**2 + 0. Factor c(f).
f**2*(f - 1)**2/3
Let q(u) be the second derivative of -2*u**7/315 + 2*u**5/45 - 2*u**3/9 - 5*u**2 - 6*u. Let f(p) be the first derivative of q(p). Factor f(m).
-4*(m - 1)**2*(m + 1)**2/3
Let z(c) be the second derivative of -c**7/2520 + c**6/360 - c**4/18 - c**3/6 - 5*c. Let f(l) be the second derivative of z(l). Factor f(y).
-(y - 2)**2*(y + 1)/3
Determine y so that -21/4*y**4 - 12 - 72*y**2 + 60*y + 33*y**3 = 0.
2/7, 2
Suppose 6 + 6 = 4*v. Let a(w) be the third derivative of 1/12*w**v + 0*w**4 - 1/120*w**5 + 0*w - 2*w**2 + 0. Determine u so that a(u) = 0.
-1, 1
Let z be (2 - (-44)/(-25))/(10/50). Determine r so that 2/5*r**5 + 2/5 - 6/5*r**4 + 4/5*r**3 + 4/5*r**2 - z*r = 0.
-1, 1
Suppose 4024 = 6*n + 4024. Factor -9/5*v + n + 3/5*v**2.
3*v*(v - 3)/5
Let j(u) be the first derivative of u**4/16 - u**3/3 + u**2/2 - 9. Factor j(s).
s*(s - 2)**2/4
Find o such that 1/5*o - 1/5*o**2 + 2/5 = 0.
-1, 2
Let a(v) be the first derivative of -4/33*v**6 + 1/11*v**2 - 6 + 3/22*v**4 + 0*v + 8/55*v**5 - 8/33*v**3. Determine o, given that a(o) = 0.
-1, 0, 1/2, 1
Let y(s) = 2*s**3 - 5*s**2 - s - 3. Let n = 1 - 7. Let o(v) = -7*v**3 + 19*v**2 + 4*v + 11. Let r(f) = n*o(f) - 22*y(f). Factor r(p).
-2*p*(p + 1)**2
Suppose -4*b + 66 = 7*b. Let c(r) be the third derivative of 0 + 0*r**4 - 1/270*r**5 - 1/270*r**b + 3*r**2 + 0*r + 1/315*r**7 + 0*r**3. Factor c(p).
2*p**2*(p - 1)*(3*p + 1)/9
Find u, given that -100*u**3 - u**4 - 5*u**2 + 49*u**3 + 55*u**3 + 2*u = 0.
0, 1, 2
Let v be (-468)/(-108) + (-1)/3. Determine t, given that 0 + 0*t + 2/3*t**3 + 0*t**2 + 2/3*t**v = 0.
-1, 0
Let j = -1 + -9. Let b(r) = -r**3 - r**2 - 3*r. Let k(n) = -n + 1. Let y be k(3). Let d(o) = o. Let w(t) = j*d(t) + y*b(t). Factor w(c).
2*c*(c - 1)*(c + 2)
Suppose 3*b + 42 = 2*r + 2*r, 4*r - 52 = -2*b. Suppose -7 = -4*h + 5. Solve -h - 3*i**2 + r*i + 14 + 1 + 6*i**2 = 0.
-2
Let n(u) = -3*u - 1. Let m be n(1). Let l be (2 + m)*(-1 - 0). Factor 6/5*x - 3/5 - 3/5*x**l.
-3*(x - 1)**2/5
Factor 30*c - 3*c**3 + 17*c - 14*c - 26 - 12*c**2 + 8.
-3*(c - 1)**2*(c + 6)
Let j = 277/3 - 92. What is g in -1/3 + 0*g + j*g**2 = 0?
-1, 1
Let z(i) be the second derivative of 2*i**6/15 - i**5/5 - i**4/3 + 2*i**3/3 - 8*i. Solve z(q) = 0 for q.
-1, 0, 1
Factor 4*q**2 + 0*q**2 - 4*q**2 + 8 - 8*q + 2*q**2.
2*(q - 2)**2
Let c(b) be the third derivative of -1/8*b**4 + 0 + 3*b**2 + 0*b + 0*b**3 + 1/20*b**5. Factor c(o).
3*o*(o - 1)
Let z(a) be the second derivative of -a**4/12 - a**3/3 - a**2/2 - 6*a. What is s in z(s) = 0?
-1
Let b = -107/12 - -41/4. Factor 10/3*f - 8/3*f**2 + 2/3*f**3 - b.
2*(f - 2)*(f - 1)**2/3
Suppose -4*u + 0 = -8. Let m be 20/(-15)*(-3)/u. Factor 1/2*k + k**m + 0*k**3 - 1/2*k**5 - k**4 + 0.
-k*(k - 1)*(k + 1)**3/2
Let n(y) = -12*y**4 - 36*y**3 - 24*y**2 - 4*y. Let v(s) = s**4. Let o(c) = -n(c) + 4*v(c). Find x, given that o(x) = 0.
-1, -1/4, 0
Suppose 61 - 124 = -21*d. Factor 0 + 0*m**2 - 1/5*m**d + 1/5*m.
-m*(m - 1)*(m + 1)/5
Let o(x) be the third derivative of x**5/12 - 5*x**4/6 - 20*x**2. Let o(k) = 0. What is k?
0, 4
Let l(b) = b**3 - b**2 - 2*b + 2. Let n be l(2). Find k such that 4/7 + n*k - 2*k**3 - 4/7*k**2 = 0.
-1, -2/7, 1
Let k(f) be the second derivative of f**4/24 + f**3/4 + f**2/2 + 8*f. What is s in k(s) = 0?
-2, -1
Let c = -876149/270 + 3245. Let i(r) be the third derivative of c*r**5 + 3*r**2 + 1/27*r**3 + 1/54*r**4 + 0 + 0*r. Suppose i(o) = 0. What is o?
-1
Let z(y) be the first derivative of -7*y**6/30 - 26*y**5/15 - 13*y**4/6 + 4*y**3 - 9*y**2/2 - 10. Let k(i) be the second derivative of z(i). Factor k(l).
-4*(l + 1)*(l + 3)*(7*l - 2)
Let j(s) be the second derivative of s**5/40 - 5*s**4/24 + 2*s**3/3 - s**2 - 29*s. Solve j(f) = 0.
1, 2
Let j(a) be the first derivative of a**6/15 - 2*a**4/5 - 4*a**3/15 + 3*a**2/5 + 4*a/5 + 5. Determine i so that j(i) = 0.
-1, 1, 2
Let r = 248/375 + 2/375. Find p such that 0 - 2/3*p**5 - r*p**2 + 2/3*p**3 + 2/3*p**4 + 0*p = 0.
-1, 0, 1
Let w(u) be the first derivative of 2*u**5/5 + u**4 + 2*u**3/3 - 7. Factor w(s).
2*s**2*(s + 1)**2
Let z(n) = -n**3 + 8*n**2 - n. Let v be z(8). Let d = v + 12. Find f, given that -2*f**5 + d*f**3 - f**3 - f**3 = 0.
-1, 0, 1
Let a(c) be the first derivative of -3*c**7/140 - c**6/21 - 19*c**5/420 - c**4/42 + 2*c**3/3 + 2. Let b(h) be the third derivative of a(h). Factor b(m).
-2*(3*m + 1)**2*(7*m + 2)/7
Let h(b) be the first derivative of b**3/9 + 4*b**2 + 48*b - 2. Factor h(x).
(x + 12)**2/3
Suppose -3*w + 6 = v, 0 = v + 4*w - 6 - 1. Let x = v - 1. Determine c, given that 0 + c - 1/2*c**x = 0.
0, 2
Let j be (-2 + 3)*(-1 + 4). Factor -3*b - j*b**2 + 7*b - b + 0*b.
-3*b*(b - 1)
Let k be (-1)/(-4) + (-11)/(-4). Let c = 17/52 - 1/13. Determine i, given that -1/2*i**2 + 0 + c*i + 1/4*i**k = 0.
0, 1
Let v(g) be the third derivative of 0 + 1/120*g**6 + 0*g + 0*g**4 + 1/120*g**5 + g**2 + 0*g**3 + 1/420*g**7. Suppose v(o) = 0. What is o?
-1, 0
Let b(y) be the third derivative of 0 + 3*y**2 + 1/300*y**6 + 0*y - 1/75*y**5 + 0*y**3 + 0*y**4. Solve b(x) = 0.
0, 2
Let f(j) be the first derivative of j**4/14 - j**2/7 + 4. Determine o so that f(o) = 0.
-1, 0, 1
Let f(q) be the first derivative of -1/180*q**5 - 1/1080*q**6 - 1/72*q**4 + 0*q**2 + 0*q - 1/3*q**3 - 2. Let v(j) be the third derivative of f(j). Factor v(g).
-(g + 1)**2/3
Let k(i) be the third derivative of -i**5/220 - i**4/264 + 13*i**2. Suppose k(o) = 0. What is o?
-1/3, 0
Let f(b) = -4*b**3 + 6*b**2 - 2. Let u(c) = 13*c**3 - 18*c**2 + 7. Let j(a) = 7*f(a) + 2*u(a). Solve j(x) = 0 for x.
0, 3
Let r be (-4*2)/(-2)*10/20. Factor 2*i + 2/3*i**3 + r*i**2 + 2/3.
2*(i + 1)**3/3
Let b be (-6*4/(64/2))/(-1). Solve 0 + p**2 - 1/4*p**3 - b*p = 0 for p.
0, 1, 3
Let n be (-390)/(-75) + (4/10)/(-2). Suppose 14/3*v**n + 4/3 + 28/3*v**2 + 8/3*v**3 - 32/3*v**4 - 22/3*v = 0. What is v?
-1, 2/7, 1
Let z be 0/(8 + (-10 - -7)). Solve 3/2*k**2 - 1/2*k - 3/2*k**3 + z + 1/2*k**4 = 0.
0, 1
Let k(l) be the third derivative of -3*l**6/10 + 2*l**5/15 + 3*l**4/2 - 4*l**3/3 + 9*l**2. Suppose k(o) = 0. Calculate o.
-1, 2/9, 1
Let i(c) be the third derivative of c**8/20160 - 7*c**5/60 - 5*c**2. Let q(j) be the third derivative of i(j). Factor q(z).
z**2
Let h = 15 - 11. Let g = h - 2. Factor 0*i**2 + 0*i**3 - 2*i**g + i**3.
i**2*(i - 2)
Let f = -107 + 757/7. Factor -6/7*o**2 + 2/7*o**3 + 0*o + f.
2*(o - 2)**2*(o + 1)/7
Let s(w) = -4*w**2 + 8*w - 7. Let a(o) = -o**2 - o - 1. Let x(g) = -a(g) + s(g). Determine v so that x(v) = 0.
1, 2
Suppose 414*g**2 + 2*g**4 - 100*g**2 + 4*g**4 - 61*g - 80*g**3 - 251*g + 72 = 0. Calculate g.
1/3, 1, 6
Let k(h) be the third derivative of h**7/2520 + h**6/720 - h**5/60 + h**4/6 - h**2. Let f(b) be the second derivative of k(b). Factor f(l).
(l - 1)*(l + 2)
Let g be (-2 - 1)/(-3) + 2. Let n = -2 + 6. Suppose -4*x**3 + 0*x**3 + 2*x**2 + g*x**n - x**3 = 0. What is x?
0, 2/3, 1
Let z(q) = 4*q - 1. Let m be z(2). Let b be (-31)/(-6) - m/42. Factor 7*v**5 - 9*v**3 - 5*v**2 + 10*v**4 + 3*v - b*v**4 - v.
v*(v - 1)*(v + 1)**2*(7*v - 2)
Let p(j) = j**4 + j**3 + j**2 - j - 1. Let d(v) = 4*v**4 + 2*v**3 + 2*v**2 - 2*v - 2. Let f(o) = d(o) - 2*p(o). Find x such that f(x) = 0.
0
Let s be (-3)/2 - 111/(-12). Let z = -7 + s. Factor 3/4*c**2 + z*c + 1/4 + 1/4*c**3.
(c + 1)**3/4
Let t = -10 + 14. Factor -t*d + 4*d**5 + 8*d**2 + 5*d**4 - 27*d**4 + 7*d**4 + 7*d**4.
4*d*(d - 1)**3*(d + 1)
Let l(p) be the third derivative of 1/6*p**4 + 1/24*p**8 - 3*p**2 - 23/105*p**7 + 0*p**3 - 13/30*p**5 + 0 + 9/20*p**6 + 0*p. Find h, given that l(h) = 0.
0, 2/7, 1
Suppose -4*o = -3*c + 137, 17 = 3*c + 3*o - 127. Let w = -140/3 + c. Factor -2/3*f**2 + 0 - w*f**3 - 1/3*f.
-f*(f + 1)**2/3
Let d(m) = 3*m**3 + 3*m**2 + 3*m - 3. Let z be -1 - ((-2)/2 + -3). Let b(f) = -3*f**3 - 4*f**2 - 4*f + 4. 