 + 4*w**5 + 1 + 4*w**4 + 8*w**2 - 6*w.
(w - 1)**3*(w + 1)*(4*w - 1)
Let z be ((-147)/(-9))/((-2)/(-90)). Factor -57*x + 112*x**3 - 343*x**5 - z*x**4 + 3*x - 17*x - 73*x + 16 + 344*x**2.
-(x + 1)*(x + 2)*(7*x - 2)**3
Let x = -303/5 + 61. Suppose x*a**4 + 0 - 2/5*a**2 + 0*a**3 + 1/5*a - 1/5*a**5 = 0. Calculate a.
-1, 0, 1
Let x(j) be the second derivative of j**7/42 + 2*j**6/15 + j**5/4 + j**4/6 + 30*j. Factor x(c).
c**2*(c + 1)**2*(c + 2)
Let u(s) be the first derivative of 1/8*s**2 - 1/16*s**4 + 0*s + 1/12*s**3 + 1 - 1/20*s**5. Find m, given that u(m) = 0.
-1, 0, 1
Let c(a) = -4*a**4 + 2*a**3 + 6*a**2 + 2*a. Let o(r) = -r**5 + 4*r**4 - 2*r**3 - 7*r**2 - 3*r. Suppose -u = u + 6. Let j(t) = u*c(t) - 2*o(t). Factor j(g).
2*g**2*(g - 1)*(g + 1)*(g + 2)
Let x(k) = k**2 + 19*k + 36. Let b be x(-17). Find m such that -19/2*m**3 - 4*m + 27/2*m**2 - 2 + b*m**4 = 0.
-1/4, 1, 2
Let g(q) be the third derivative of 1/60*q**6 + 4*q**2 - 1/12*q**4 + 0*q - 1/105*q**7 + 0 + 0*q**3 + 1/30*q**5. Solve g(v) = 0 for v.
-1, 0, 1
Let z(l) = -1 - 2 - 2*l + l. Let t be z(-5). Factor 72/5*r**t + 12/5*r + 27*r**3 + 81/5*r**4 + 0.
3*r*(3*r + 1)*(3*r + 2)**2/5
Let h = -7 + 17/2. Let l(c) be the second derivative of -h*c**3 + 0 - 3*c**2 + 3*c + 3/20*c**5 + 0*c**4. Factor l(x).
3*(x - 2)*(x + 1)**2
Let o = 15 + -12. Factor 0*w**2 - 4*w**2 - 8*w - o + 2 - 3.
-4*(w + 1)**2
Find m, given that 3*m + 5*m**4 - 2*m + 14*m**3 + 15*m + 23*m**2 + 4 - 2*m**4 = 0.
-2, -1, -2/3
Let k(c) be the first derivative of c**7/840 - c**6/360 - c**5/120 + c**4/24 - 2*c**3/3 - 1. Let y(d) be the third derivative of k(d). Factor y(l).
(l - 1)**2*(l + 1)
Let g(h) be the second derivative of h**6/90 - h**5/10 + h**4/3 - 5*h**3/9 + h**2/2 + 38*h + 1. Find s, given that g(s) = 0.
1, 3
Let v(b) = -4*b + 3. Let p be v(0). Let y(c) be the second derivative of -1/7*c**2 - 4*c - 1/21*c**p + 1/42*c**4 + 1/70*c**5 + 0. Factor y(f).
2*(f - 1)*(f + 1)**2/7
Let w(t) be the second derivative of -5*t**7/84 + t**6/4 - t**5/4 - 5*t**4/12 + 5*t**3/4 - 5*t**2/4 - 12*t. Solve w(b) = 0 for b.
-1, 1
Determine j so that -3*j**3 + 15/4*j - 3*j**4 - 3/4*j**5 + 3/2 + 3/2*j**2 = 0.
-2, -1, 1
Let y(v) = v. Let p(m) = -m**2 - 2*m + 1. Let n(r) = p(r) + 2*y(r). What is s in n(s) = 0?
-1, 1
Let q(k) be the first derivative of 2*k**3/33 - 2*k/11 - 2. Determine v so that q(v) = 0.
-1, 1
Let x(q) = -3*q + 46. Let i be x(14). Let c(v) be the first derivative of 0*v - 1/8*v**i + 0*v**2 + 1/6*v**3 + 3. Suppose c(g) = 0. Calculate g.
0, 1
Let n = 4 + -2. Factor -3*k**4 + 2*k**3 - 4*k**4 - 2*k**5 + 5*k**4 + 2*k**n.
-2*k**2*(k - 1)*(k + 1)**2
Let w(b) be the first derivative of 5*b**6/144 - b**5/12 + b**4/12 - 4*b**3/3 - 6. Let k(j) be the third derivative of w(j). Factor k(d).
(5*d - 2)**2/2
Let q(x) be the first derivative of 3*x**4/22 + 8*x**3/11 + 15*x**2/11 + 12*x/11 + 22. Factor q(s).
6*(s + 1)**2*(s + 2)/11
Let m be (-4)/10*605/(-1122). Let d = 2/17 + m. Factor 1/3*l**2 + d*l - 1/3*l**3 - 1/3.
-(l - 1)**2*(l + 1)/3
Let y = 3583/20 + -179. Let p(s) be the third derivative of y*s**6 + 7/12*s**4 + 0 + 0*s - 1/2*s**5 + s**2 - 1/3*s**3. Find u, given that p(u) = 0.
1/3, 1
Let g be (-4 - -6) + (2 - 2). Determine v so that -g*v**5 - v + 3*v**5 + 2*v**2 + 0*v**2 + 2*v**4 - 4*v**2 = 0.
-1, 0, 1
Let z(w) = -6*w**2 - 39*w - 24. Let l(s) = 3*s**2 + 19*s + 12. Let a(g) = 9*l(g) + 4*z(g). Factor a(r).
3*(r + 1)*(r + 4)
Let w(s) be the third derivative of 1/40*s**6 + 0*s**5 + 0 - 3/8*s**4 + 0*s + s**3 - 2*s**2. Suppose w(x) = 0. What is x?
-2, 1
Let b be 0*(3*2/6)/(-1). Factor 2/3*g**4 + 4/3*g**3 + 2/3*g**2 + b*g + 0.
2*g**2*(g + 1)**2/3
Let p = -26/11 - -1883/792. Let q(b) be the second derivative of -p*b**4 + 1/18*b**3 + 0 - 1/12*b**2 - 3*b. Factor q(y).
-(y - 1)**2/6
Let h = -523/3 - -177. Determine a so that 0 - h*a - 16/3*a**4 + 16/3*a**2 - 10/3*a**5 + 6*a**3 = 0.
-2, -1, 0, 2/5, 1
What is w in -4/5 - 6/5*w + 0*w**2 + 2/5*w**3 = 0?
-1, 2
Suppose -4*q = -0*q - 5*l + 18, 5*l - 10 = 0. Let o = q + 4. Factor -2/3 + 5/3*w - 4/3*w**o + 1/3*w**3.
(w - 2)*(w - 1)**2/3
Suppose 0 = 6*o - 7*o. Determine v, given that -1/4*v**2 + o + 1/4*v = 0.
0, 1
Factor -1/2 + 1/4*u + 1/4*u**2.
(u - 1)*(u + 2)/4
Factor 2*v**5 + 0*v + 6/7*v**3 + 24/7*v**4 + 0 - 4/7*v**2.
2*v**2*(v + 1)**2*(7*v - 2)/7
Factor -5*i**4 + 0 - 227*i**2 + 0 - 5*i + 5*i**3 + 232*i**2.
-5*i*(i - 1)**2*(i + 1)
Let g = 1049/2776 + -1/347. What is h in -1/4 - g*h - 1/8*h**2 = 0?
-2, -1
Let w(d) be the third derivative of 1/6*d**3 + 0*d - 1/8*d**4 + 1/30*d**5 + 0 - 3*d**2. Factor w(o).
(o - 1)*(2*o - 1)
Let i(r) be the third derivative of 1/9*r**3 + 0*r**4 + 0*r + 0 + 3*r**2 - 1/90*r**5. Factor i(s).
-2*(s - 1)*(s + 1)/3
Let k(z) be the second derivative of 1/8*z**3 - 2*z - 1/4*z**2 - 1/48*z**4 + 0. Suppose k(x) = 0. Calculate x.
1, 2
Let p be (-4 - 52/(-12))*0. Suppose 3*w + q - 5 = 0, q + p = 5. Suppose -1/5*c**3 - 2/5*c - 3/5*c**2 + w = 0. Calculate c.
-2, -1, 0
Suppose -5*j - 10 = 2*h, -6*j = -h - 3*j + 6. Let o = 1 + -1. Determine v, given that 0 + 1/4*v**3 + 1/4*v**4 + h*v**2 + o*v = 0.
-1, 0
Let k(z) = -z**2 + 6*z - 4. Let f be k(4). Suppose 5*a - 15 = x + f*x, -2*a + 5 = -x. Factor 2/7*n**3 + 0 - 10/7*n**4 + 6/7*n**5 + 2/7*n**a + 0*n.
2*n**2*(n - 1)**2*(3*n + 1)/7
Let d be (1 + -26)/(47 - 1). Let x = -1/23 - d. Suppose 1/2 + x*l**2 - l = 0. Calculate l.
1
Let n(a) be the third derivative of -1/360*a**6 + 0 - 5*a**2 + 0*a + 0*a**4 + 1/180*a**5 + 0*a**3. Let n(w) = 0. Calculate w.
0, 1
Factor 0*h + 1/8*h**5 + 0 + 1/2*h**2 - 1/2*h**3 - 1/8*h**4.
h**2*(h - 2)*(h - 1)*(h + 2)/8
Let p(k) be the second derivative of k**5/140 + k**4/84 - k**3/42 - k**2/14 - 3*k. Factor p(u).
(u - 1)*(u + 1)**2/7
Factor -10/7*x**2 + 16/7*x - 8/7 + 2/7*x**3.
2*(x - 2)**2*(x - 1)/7
Suppose -16 = 8*f - 12*f. Suppose -2*b - 6 = 3*b - f*w, 10 = b + 2*w. Factor 0*i + 9*i**b + 6*i + 8*i**4 - 11*i**4.
-3*i*(i - 2)*(i + 1)**2
Let a(c) be the first derivative of c**2/2 + 1. Let j(s) = -2*s**2 + 2*s + 0*s**2 + 0*s + 4*s. Let z(y) = 8*a(y) - j(y). Factor z(b).
2*b*(b + 1)
Let v(p) be the first derivative of 10/3*p**3 + 8/5*p - 3 + 4*p**2. Solve v(r) = 0 for r.
-2/5
Let j(r) be the second derivative of -r**5/50 - r**4/30 + 4*r**3/15 + 4*r**2/5 - 19*r. Let j(x) = 0. What is x?
-2, -1, 2
Let v(q) = q**3 - 3*q**2. Let x be v(3). Suppose 0 = -4*g + 1 - 5, -d + 4*g + 8 = x. Factor -d + 2 - m**2 + 3.
-(m - 1)*(m + 1)
Let x = 12 + -10. Factor m**x - 3*m**2 + m + 0*m**2 - 3*m.
-2*m*(m + 1)
Let h = 4 - 1. Factor -j**2 - 10*j**4 + 0*j**2 - j**2 + 4*j**5 + 8*j**h.
2*j**2*(j - 1)**2*(2*j - 1)
Let z(o) = -2*o - 61. Let w be z(-32). Factor 0*y**2 + 0*y + 2/7*y**w + 0.
2*y**3/7
Factor 0*w**2 - 4*w + 8*w + 0*w**2 + 4*w**5 - 8*w**3.
4*w*(w - 1)**2*(w + 1)**2
Let n(i) be the second derivative of -i**6/90 - i**5/20 - i**4/12 - i**3/18 - 2*i. Let n(o) = 0. What is o?
-1, 0
Let z(l) be the third derivative of -l**5/390 + l**4/26 - 5*l**3/39 - 8*l**2. Solve z(c) = 0 for c.
1, 5
Let w(t) = -10*t**5 - t**4 - 12*t**3 + t**2 - 11*t + 11. Let h(b) = -b**5 - b**3 - b + 1. Let n(d) = 44*h(d) - 4*w(d). Solve n(a) = 0.
-1, 0, 1
Factor -1/3*r**3 + 0*r**2 + 1/3*r + 0.
-r*(r - 1)*(r + 1)/3
Let y(m) = -4*m**2 - 16*m - 25. Let q(u) = 2*u**2 + 8*u + 12. Let v be (14 + -8)/((-6)/4). Let o(f) = v*y(f) - 9*q(f). Determine l so that o(l) = 0.
-2
Let x(c) be the third derivative of -2/5*c**5 + 4/35*c**7 + 0*c**3 + 0 + 0*c - 1/12*c**6 + 3/56*c**8 - 1/3*c**4 + 4*c**2. Determine u, given that x(u) = 0.
-1, -2/3, 0, 1
Let m(w) = -5*w**2 - 2*w + 7. Let u(k) = 26*k**2 + 10*k - 36. Let y(b) = 16*m(b) + 3*u(b). Suppose y(a) = 0. Calculate a.
-2, 1
Let v(b) be the third derivative of b**5/15 - 5*b**4/6 + 8*b**3/3 + 11*b**2. Factor v(h).
4*(h - 4)*(h - 1)
Factor -g**4 - g - 7*g**3 - g - 5*g**3 - 4*g**4 - 9*g**2.
-g*(g + 1)**2*(5*g + 2)
Let z(j) be the third derivative of -j**8/5880 - j**7/1470 - j**6/1260 + j**3/6 + 3*j**2. Let s(q) be the first derivative of z(q). Solve s(v) = 0 for v.
-1, 0
Factor 4/9*r**2 - 10/9*r**5 + 8/3*r**4 + 0 - 2*r**3 + 0*r.
-2*r**2*(r - 1)**2*(5*r - 2)/9
Let n(w) be the third derivative of w**8/17920 - w**7/3360 + w**4/3 + 9*w**2. Let d(v) be the second derivative of n(v). Determine o so that d(o) = 0.
0, 2
Let s = -4 + 8. Let w be -2 + s/(-22)*-1