. Factor -2*z**u + 5*z + z - z - z.
-2*z*(z - 2)
Factor 0 + 0*i**3 + 0*i**2 + 0*i + 3/4*i**4.
3*i**4/4
Determine w, given that 2*w**2 + 0*w**2 + 6*w + 3 + w**2 = 0.
-1
Find q, given that 16*q**3 + 12 - 16*q - 81*q**4 - 6*q**2 + 77*q**4 - 2*q**2 = 0.
-1, 1, 3
Let v = 4 - 0. Suppose 20 = v*p + p. Let -p*f + 3*f + 4*f**3 - 3*f**3 = 0. What is f?
-1, 0, 1
Let f be 24/(-16)*3/(-270). Let q(m) be the second derivative of f*m**5 + 1/6*m**2 - 1/36*m**4 + 0 - 1/18*m**3 - m. Determine i, given that q(i) = 0.
-1, 1
Find c such that 0*c**4 - 224*c**2 - 25*c**4 - 180*c - 21*c**2 - 40 - 5*c**2 - 135*c**3 = 0.
-2, -1, -2/5
Let u(g) be the first derivative of -3*g**4/4 + 5*g**3/3 - 7*g**2/6 + g/3 + 1. Suppose u(d) = 0. What is d?
1/3, 1
Let b be 7 + -2 + (2 - 1). Determine g, given that 8*g - 2*g - g**4 + 2*g - 4*g**3 + b*g**2 - g**4 - 8 = 0.
-2, 1
Let l = 245 + -1224/5. Suppose 1/5 + 1/5*a - 2/5*a**2 + l*a**5 - 2/5*a**3 + 1/5*a**4 = 0. Calculate a.
-1, 1
Let n be 0 + 1/(2/6). Factor -1 - 3 - 2*t**2 + n*t**2.
(t - 2)*(t + 2)
Let m be 5/50 + 2/(-5)*-1. Factor 1/4*n**2 + m + 3/4*n.
(n + 1)*(n + 2)/4
Let k(f) be the second derivative of 3*f**5/20 + f**4/2 + f**3/2 - 10*f. Determine u, given that k(u) = 0.
-1, 0
Let x(q) be the first derivative of -q**3 + q**2 + 4*q - 1. Let d(y) = 6*y**2 - 4*y - 7. Let h = 4 - -2. Let r(a) = h*d(a) + 10*x(a). Factor r(i).
2*(i - 1)*(3*i + 1)
Let c(o) be the first derivative of o**4/2 - 2*o**3/3 - o**2 + 2*o + 4. Factor c(j).
2*(j - 1)**2*(j + 1)
Let r(n) = 8*n**3 - 8*n**2 - 8*n + 8. Let d(g) = 2*g - 1 - 2 + g**2 + 1 + g**2 - 2*g**3. Let o(k) = 9*d(k) + 2*r(k). Determine l so that o(l) = 0.
-1, 1
Suppose -6*v**3 - 529*v + 529*v + 4*v**2 + 2*v**5 = 0. What is v?
-2, 0, 1
Let f(d) = -39*d**3 + 2*d**2 - 15*d**2 + d**2 - 27*d**4. Let g(m) = -7*m**4 - 10*m**3 - 3*m**2. Let t(z) = 4*f(z) - 15*g(z). Find i such that t(i) = 0.
-1, 0
Let r(j) be the third derivative of -1/75*j**5 + 2*j**2 + 0*j**4 - 2/105*j**7 + 0 - 1/25*j**6 + 0*j**3 + 0*j. Let r(f) = 0. What is f?
-1, -1/5, 0
Let l(k) be the third derivative of k**6/120 - k**4/24 + k**3/2 + k**2. Let z be l(0). Factor -x + 4*x**4 + 2 - x**z + 2*x**3 - 5*x**2 - x**4.
(x - 1)*(x + 1)**2*(3*x - 2)
Let r(n) be the first derivative of 4*n**5 - 12*n**4 - 4*n**3/3 + 24*n**2 - 16*n + 6. Find t, given that r(t) = 0.
-1, 2/5, 1, 2
Factor -10/3*i**3 - 2/3*i - 2/3 + 43/6*i**2.
-(i - 2)*(4*i + 1)*(5*i - 2)/6
Let n(y) be the second derivative of y**4/9 + 20*y**3/9 - 30*y. Suppose n(p) = 0. Calculate p.
-10, 0
Let k(i) be the second derivative of 2*i**7/7 - 8*i**6/5 + 63*i**5/20 - 11*i**4/4 + i**3 - 3*i. Suppose k(v) = 0. What is v?
0, 1/2, 1, 2
Let x = -42 + 212/5. Factor 4/5*w + 0 - x*w**2.
-2*w*(w - 2)/5
Suppose -4*c + 5*q = 7, -5*q + 23 = -4*c + 8*c. Factor 6*r**2 - 6*r**4 - 2*r**3 + c*r - 1 + 1 + 0*r.
-2*r*(r - 1)*(r + 1)*(3*r + 1)
Let x(t) be the third derivative of -t**6/660 - t**5/33 - 17*t**4/132 - 8*t**3/33 + 8*t**2 - 4*t. Factor x(o).
-2*(o + 1)**2*(o + 8)/11
Find o, given that -1/3*o**4 + 16/3 - 8/3*o + 8/3*o**3 - 5*o**2 = 0.
-1, 1, 4
Let w(q) = 3*q**4 + 19*q**3 + 61*q**2 + 67*q + 27. Let j(i) = -15*i**4 - 96*i**3 - 306*i**2 - 336*i - 135. Let p(v) = -5*j(v) - 24*w(v). Factor p(b).
3*(b + 1)**2*(b + 3)**2
Let i be (14/(-24))/(-7)*(-5)/(-50). Let l(q) be the third derivative of -1/240*q**6 + 0*q + i*q**5 - 2*q**2 + 0 + 0*q**3 + 0*q**4. Factor l(g).
-g**2*(g - 1)/2
Let y be (-195)/(-630) - 3/18. Factor 0 + 0*k + 1/7*k**2 + y*k**4 + 2/7*k**3.
k**2*(k + 1)**2/7
Let n(h) = -h**2 + 8*h. Let d(f) be the third derivative of -f**4/24 - f**3/6 + 3*f**2. Let c(v) = 4*d(v) + n(v). Factor c(s).
-(s - 2)**2
Let o(r) = -r**3 - r**2 + r + 1. Suppose 4*j - 2 = 6*j. Let d be o(j). Factor -2/3*u**2 + 2/3 + d*u.
-2*(u - 1)*(u + 1)/3
Let l(v) be the second derivative of v**4/12 - v**3/6 - 2*v**2 + 2*v. Let i be l(3). Let i*f**3 - 5*f**3 + 2*f + f**3 = 0. What is f?
-1, 0, 1
Let d(q) be the third derivative of 0*q**6 - 1/1176*q**8 + 0*q**3 + 1/105*q**5 + 0*q + 1/84*q**4 - 2/735*q**7 + 0 - q**2. What is g in d(g) = 0?
-1, 0, 1
Factor -5*c**3 + 14*c**2 - 7*c + 5 - 2*c**2 + 3*c**2 - 8*c.
-5*(c - 1)**3
Suppose 0 = -3*f - 5*a - 70, -24 = f + 5*a - 4*a. Let y be 1 - (f/(-15) - 1). Determine w, given that 0*w**3 + y*w**4 - 2/3*w**2 + 1/3 + 0*w = 0.
-1, 1
Suppose -a - 4*a + 438 = -l, -2*l = 2*a - 180. Find s, given that 362*s**2 + a*s + 12 + 86*s**4 - 4 + 516*s**4 + 688*s**3 + 196*s**5 = 0.
-1, -1/2, -2/7
Let k(s) = -38 + s - s**2 + 38. Let d(g) = -6*g**2 + 12*g - 6. Let m(a) = d(a) - 3*k(a). Factor m(l).
-3*(l - 2)*(l - 1)
Let j(t) be the third derivative of -t**7/210 - t**6/60 - t**5/60 - 2*t**2. Factor j(l).
-l**2*(l + 1)**2
Let l(w) be the second derivative of w**7/840 - w**6/360 + 2*w**3/3 - 4*w. Let q(t) be the second derivative of l(t). Suppose q(a) = 0. What is a?
0, 1
Let d = -2/471 - -63/2512. Let r(l) be the second derivative of 1/4*l**2 + 0 + 3*l - d*l**4 + 1/24*l**3. Factor r(x).
-(x - 2)*(x + 1)/4
Let v(w) = -2*w**2 - 14*w - 4. Let g(o) = -o**2 - 5*o - 1. Let s(c) = -8*g(c) + 3*v(c). Solve s(f) = 0 for f.
-1, 2
Let b(c) be the third derivative of c**6/60 - c**5/15 + 9*c**2. Factor b(x).
2*x**2*(x - 2)
Let y(j) be the first derivative of -j**6/30 - 3*j**5/25 + 4*j**3/15 - 26. Find i, given that y(i) = 0.
-2, 0, 1
Let g(y) be the second derivative of -y**9/5040 - y**8/2240 + y**7/840 + y**6/240 - y**4/4 + y. Let w(a) be the third derivative of g(a). Factor w(j).
-3*j*(j - 1)*(j + 1)**2
Let d be (705/(-20))/(9/15). Let t = d + 59. Suppose -1/4*n**2 - t - 1/2*n = 0. What is n?
-1
Let p(y) be the first derivative of y**7/420 + y**6/180 - y**5/60 - y**4/12 - 7*y**3/3 - 2. Let o(w) be the third derivative of p(w). What is x in o(x) = 0?
-1, 1
Let d(q) = 6*q - 1. Let o be d(3). Let x(k) = k + 2. Let r be x(0). Factor -o*t**2 + 0*t**4 + 16*t**r + t**4 - t + t**3.
t*(t - 1)*(t + 1)**2
Let u(b) be the third derivative of -b**7/315 + b**6/90 - b**4/18 + b**3/9 + 7*b**2. Factor u(q).
-2*(q - 1)**3*(q + 1)/3
Factor -2/13*u**2 + 0 + 2/13*u**4 + 2/13*u**3 + 0*u - 2/13*u**5.
-2*u**2*(u - 1)**2*(u + 1)/13
Factor -k**2 + 18 - 46 - 10*k + 19.
-(k + 1)*(k + 9)
Let f be 3/(-4)*12/(-15). Let b be ((-252)/(-45))/14*(-2)/(-4). Factor f*h + 0*h**2 - b*h**3 + 2/5.
-(h - 2)*(h + 1)**2/5
Let c(p) be the second derivative of -p**4/48 - p**3/24 + p**2/4 + 2*p + 5. Let c(v) = 0. What is v?
-2, 1
Let s(n) be the second derivative of -1/18*n**3 + 1/18*n**4 + 0*n**2 + 0 + 0*n**5 - 9*n + 1/126*n**7 - 1/45*n**6. Factor s(x).
x*(x - 1)**3*(x + 1)/3
Let n(v) be the first derivative of -v**6/42 + v**5/7 - 5*v**4/14 + 10*v**3/21 - 5*v**2/14 + v/7 - 14. What is a in n(a) = 0?
1
Determine n, given that -14/17*n**2 + 2*n - 12/17 = 0.
3/7, 2
Suppose -78*c - 74*c = -155*c. Factor 4*m**3 - 8/3*m**2 + 0 + c*m - 4/3*m**4.
-4*m**2*(m - 2)*(m - 1)/3
Let k(s) be the third derivative of -s**7/420 - s**6/120 + s**5/40 + s**2 + 32*s. Factor k(a).
-a**2*(a - 1)*(a + 3)/2
Let j(s) be the third derivative of 1/120*s**6 + 0*s + 0*s**3 + 1/420*s**7 + 1/120*s**5 + 0 + 0*s**4 - s**2. Factor j(c).
c**2*(c + 1)**2/2
Let p(h) = h**2 - 11*h - 22. Let i be (-5)/(20/(-52)) - 0. Let q be p(i). Factor 7/3*t**q - 2/3*t**3 + 2/3*t - 7/3*t**2 + 0.
t*(t - 1)*(t + 1)*(7*t - 2)/3
Let i(x) = -4*x**2 + 3*x - 5. Let g(t) = 12*t**2 - 8*t + 16. Let d(z) = -5*g(z) - 16*i(z). Factor d(y).
4*y*(y - 2)
Let g(h) be the first derivative of -3/25*h**5 + 1 + 0*h**2 - 3/10*h**4 - 1/5*h**3 + 0*h. Suppose g(w) = 0. What is w?
-1, 0
Let t be 22/(-4) + 5/10. Let u be (1/t)/(15/(-25)). Factor 1/3*k**2 + u - 2/3*k.
(k - 1)**2/3
Factor -w**3 + 2*w**3 + 2*w**2 + 0*w + w.
w*(w + 1)**2
Factor 1/3*g**4 + 1/3*g + g**3 + g**2 + 0.
g*(g + 1)**3/3
Let b(q) be the second derivative of -q**5/120 - q**4/48 + 3*q**2/2 - q. Let j(k) be the first derivative of b(k). Factor j(p).
-p*(p + 1)/2
Suppose 1/2 - 2*p - 3/8*p**3 + 13/8*p**2 = 0. What is p?
1/3, 2
Let d(j) = -j**3 + 2*j + 1. Let z be d(2). Let a = -1 - z. Solve -196/3*g**3 - 8/3 + 16/3*g + 30*g**a + 98/3*g**4 = 0 for g.
-2/7, 2/7, 1
Suppose 3*v = f + 580, 3*v - 326 = 4*f + 248. Let a = -89 + v. Factor -a*u**4 + 39*u**3 - 218*u**2 + 7*u**4 - 291*u**3 - 72*u - 8.
-2*(u + 1)**2*(7*u + 2)**2
Determine d, given that 8 + 2*d**5 - 5*d**5 + 30*d**2 - 8*d**4 + 