Let z be 2 - 0 - 1 - -1. Factor 5*f**2 - 3*f**2 + f**z - 6*f.
3*f*(f - 2)
Let o = -891/1064 + -5/133. Let x = 101/24 + o. Factor 1/3 + x*f**3 + 10/3*f**2 + 5/3*f**4 + 1/3*f**5 + 5/3*f.
(f + 1)**5/3
Let z be (-4)/6 - 14/(-12). Let j(r) be the first derivative of -1/3*r**3 + 0*r + z*r**2 - 2. Find o, given that j(o) = 0.
0, 1
Let o(h) be the third derivative of 1/48*h**4 + 1/60*h**5 + 0 + 0*h - 3*h**2 - 1/12*h**3. Factor o(j).
(j + 1)*(2*j - 1)/2
Factor 5/2*k**5 + 0 + 0*k - 1/2*k**3 + 7/2*k**4 - 3/2*k**2.
k**2*(k + 1)**2*(5*k - 3)/2
Let i = 9 + -29. Let w(d) = d**3 + 20*d**2 + d + 20. Let s be w(i). Find q such that -1/2*q**3 - q**2 + s - 1/2*q = 0.
-1, 0
Let w(z) be the third derivative of -z**8/336 - z**7/42 - 3*z**6/40 - 7*z**5/60 - z**4/12 + 2*z**2. Factor w(k).
-k*(k + 1)**3*(k + 2)
Let n(u) = -14*u**4 - 16*u**3 - 14*u**2 - 12*u + 12. Let v(j) = -j**4 - j**3 - j**2 - j + 1. Let d(h) = -n(h) + 12*v(h). Factor d(x).
2*x**2*(x + 1)**2
Determine m, given that -2/3*m + 10/9*m**2 - 4/9 = 0.
-2/5, 1
Let w be 1*((1 - -2) + -10). Let k be 4 + w - -6*1. Let 0*t**k + t**2 - t**4 - t**3 + 0*t**2 + t = 0. Calculate t.
-1, 0, 1
Factor -3/2*x + 0 + 3*x**2 - 3/2*x**3.
-3*x*(x - 1)**2/2
Let t be (-24)/20 + 2*1. Let g(r) = r**3 + 22*r**2 + 19*r - 40. Let v be g(-21). Solve -t*u + 14/5*u**v + 0 = 0 for u.
0, 2/7
Let d(y) be the second derivative of -3*y + 1/12*y**3 + 0*y**2 + 1/40*y**5 + 0 - 1/12*y**4. Let d(q) = 0. Calculate q.
0, 1
Suppose -5*j**5 - 20*j**3 - 4*j - j + 9*j**3 - 19*j**3 - 20*j**4 - 20*j**2 = 0. Calculate j.
-1, 0
Let n(w) = -6*w**4 + 3*w**2 + 3*w. Let c = -4 + 1. Let l(o) = -o**4 + o. Let m(t) = c*l(t) + n(t). Factor m(k).
-3*k**2*(k - 1)*(k + 1)
Let w(j) be the third derivative of -j**5/30 + 5*j**4/36 + 2*j**3/9 + 8*j**2. What is d in w(d) = 0?
-1/3, 2
Let z(a) be the first derivative of -a**8/9240 + a**7/4620 - a**3 - 6. Let k(g) be the third derivative of z(g). Factor k(q).
-2*q**3*(q - 1)/11
Let p(t) be the second derivative of 2*t + 0 + 1/4*t**2 + 1/24*t**4 - 1/6*t**3. What is g in p(g) = 0?
1
Let 0 + 0*o + 4/5*o**3 - 4/5*o**2 = 0. Calculate o.
0, 1
Let l(k) be the second derivative of -1/27*k**4 + 7*k + 0*k**3 + 0*k**2 - 1/90*k**5 + 0 + 1/27*k**6 - 2/189*k**7. Solve l(b) = 0.
-1/2, 0, 1, 2
Suppose 0 = 4*u - 6*u. Let w(r) be the third derivative of -1/30*r**3 - 3/100*r**5 + 1/20*r**4 - 3*r**2 + u*r + 0. Factor w(s).
-(3*s - 1)**2/5
Let s(l) = -12*l**3 - 10*l**2 - 12*l. Let u(t) = -t**3 - t**2 - t. Let z(w) = 6*s(w) - 68*u(w). Solve z(q) = 0.
0, 1
Let h(c) be the first derivative of c**4/10 - 2*c**3/3 + 8*c**2/5 - 8*c/5 - 1. Factor h(a).
2*(a - 2)**2*(a - 1)/5
Find f, given that 0 + 1/2*f - 1/2*f**2 = 0.
0, 1
Let f(n) be the third derivative of -n**9/30240 + n**8/10080 + n**7/2520 - n**6/360 - n**5/30 - 3*n**2. Let z(d) be the third derivative of f(d). Factor z(x).
-2*(x - 1)**2*(x + 1)
Let q = -2005/7 - -287. Determine f so that -2/7*f**2 + 2/7*f**4 + 2/7*f + 0 + q*f**5 - 6/7*f**3 = 0.
-1, 0, 1/2, 1
Let a(t) be the second derivative of -3*t**5/20 + t**4/4 - 9*t. Factor a(n).
-3*n**2*(n - 1)
Suppose -4 = -2*w, -12 = -4*i - 0*w - 2*w. Factor 8/5 + 8/5*z + 2/5*z**i.
2*(z + 2)**2/5
Let g(q) = -3*q**2 - 2*q - 1. Let c(y) = 16*y**2 + 11*y + 6. Let r(w) = -4*c(w) - 22*g(w). Find i, given that r(i) = 0.
-1, 1
Let u(k) = k - 3. Let j be u(3). Suppose 0 = 5*x + 2*i - 16 - 15, j = -x + i + 2. Suppose -2/7*b**x - 2/7*b + 0*b**4 + 0 + 0*b**2 + 4/7*b**3 = 0. What is b?
-1, 0, 1
Suppose 1 - 3 = -a. Suppose -j = -0*j - a. Factor 0 + 0*h + 4/3*h**3 + 2/3*h**4 + 2/3*h**j.
2*h**2*(h + 1)**2/3
Let j(s) = -s**2 - s. Let h(n) = 4*n**4 - 8*n**3 - 17*n**2 + 27*n - 16. Let k(w) = h(w) - 5*j(w). Factor k(z).
4*(z - 2)*(z - 1)**2*(z + 2)
Factor -54/13 - 108/13*z - 20/13*z**3 - 2/13*z**4 - 72/13*z**2.
-2*(z + 1)*(z + 3)**3/13
Factor -11*z**2 - 45 - 16*z**2 - 30*z + 22*z**2.
-5*(z + 3)**2
Suppose 3*h - y - y = 70, h + 3*y = 16. What is l in -h*l**5 + 33*l**5 + 2*l - 56*l**4 - 5*l**3 - 8*l**2 + 19*l**2 + 37*l**5 = 0?
-1/4, 0, 2/3, 1
Let g be (-1)/((0 - -2) + -5). Factor g + m**2 + m + 1/3*m**3.
(m + 1)**3/3
Suppose 4*j + 20 = 0, a + 5 = -4*a - 3*j. Let 8*s**3 + a*s**3 - 10*s**2 - 6*s**2 + 2*s + 4 = 0. What is s?
-2/5, 1
Let y(t) be the third derivative of t**8/1344 - 23*t**7/840 + 19*t**6/48 - 329*t**5/120 + 833*t**4/96 - 343*t**3/24 - 39*t**2. Determine r, given that y(r) = 0.
1, 7
Let i be 4/(-2) - -6 - (-70)/(-21). Determine t so that -1/6*t**2 + i - 1/2*t = 0.
-4, 1
Let n(d) be the second derivative of d**7/63 - d**5/15 + d**3/9 + d. Factor n(q).
2*q*(q - 1)**2*(q + 1)**2/3
Let f = 4 - -1. Factor -18*q**4 - q**2 - q**2 - 10*q**3 - 2*q**3 - 8*q**f.
-2*q**2*(q + 1)**2*(4*q + 1)
Solve -2*c**2 + 11*c**2 - 18*c - 81 - 4*c**2 - 6*c**2 = 0 for c.
-9
Let i be (-43)/(-3) + (-1)/3. Let c = -9 + i. Factor 8/3*z**4 + 2/3*z + 8/3*z**2 + 0 + 2/3*z**c + 4*z**3.
2*z*(z + 1)**4/3
Let n(w) be the third derivative of -w**6/30 - w**5/15 + w**4/6 + 2*w**3/3 - 10*w**2. Find k, given that n(k) = 0.
-1, 1
Let t = 666/13 + -4545/91. Determine k, given that 6/7 - 3/7*k**3 + 15/7*k - 3/7*k**4 + t*k**2 = 0.
-1, 2
Suppose 9 = 3*v - 3. Suppose -3*b - 3*j + 33 = 0, -v*b + 5*j + 9 = -b. Let 52*g**3 + b*g - 16 + 5/2*g**5 + 56*g**2 + 19*g**4 = 0. Calculate g.
-2, 2/5
Let y(d) be the second derivative of 2*d + 2/3*d**3 + 0 + 0*d**2 - 1/6*d**4. Determine z so that y(z) = 0.
0, 2
Let r(k) = -k**3 + 4*k**2 + 14*k - 53. Let a be r(4). Suppose -9/2*p**2 - 1/2 - 3*p - 2*p**a = 0. Calculate p.
-1, -1/4
Let 3 + y**2 + 5*y**2 - 4*y**2 + 4*y - y**2 = 0. Calculate y.
-3, -1
Let g(m) be the second derivative of -m**4/6 + 4*m**3/3 - 4*m**2 + 25*m. Determine w so that g(w) = 0.
2
Let f(n) = -2*n**4 + 2*n**3 + 10*n**2 + 6*n. Let x(w) = -2*w**4 + 3*w**3 + 11*w**2 + 7*w + 1. Let q(d) = 5*f(d) - 4*x(d). Determine m so that q(m) = 0.
-2, -1, 1
Let u(z) be the first derivative of -z**6/1440 - z**5/240 - z**4/96 - 4*z**3/3 + 9. Let i(r) be the third derivative of u(r). Factor i(c).
-(c + 1)**2/4
Let i be 17/(-17) - 14/(-10). Let f(j) be the first derivative of -1/3*j**6 + 1 + i*j**5 - 4/3*j**3 - j**2 + j**4 + 2*j. Factor f(w).
-2*(w - 1)**3*(w + 1)**2
Let k = -1/4 + 9/20. Suppose -2*t + 9 = -5*c + 29, -t - 3 = c. Suppose -1/5*z**3 - k + 1/5*z + 1/5*z**c = 0. Calculate z.
-1, 1
Let u = 11 - 12. Let z(r) be the first derivative of r**4/4 + r**3/3 + 1. Let x(c) = 12*c**3 + 4*c**2 + c. Let i(g) = u*x(g) - 4*z(g). Factor i(n).
-n*(4*n + 1)**2
Suppose -2/11*z**4 - 6/11*z**3 - 2/11*z**2 + 4/11 + 6/11*z = 0. What is z?
-2, -1, 1
Let j be 5 + -5 + -3 + 16/5. Factor j*k**2 + 2/5 - 3/5*k.
(k - 2)*(k - 1)/5
Let c be (-4)/(-6)*(-21)/(-7). Determine y so that -1 - y**3 + c*y**4 - y**3 + 1 = 0.
0, 1
Let b(v) be the third derivative of -v**5/20 - 3*v**4 - 72*v**3 - 15*v**2. Factor b(u).
-3*(u + 12)**2
Let z(l) = l**2 - 5*l - 9. Let u be z(8). Suppose -v = -6*v + u. Factor 2*t**2 - v*t**3 - t**3 + 2*t**2 + 2*t**3.
-2*t**2*(t - 2)
Let g(i) be the first derivative of -i**6/2 + 6*i**5/5 - 3*i**4/4 - 5. Factor g(c).
-3*c**3*(c - 1)**2
Let i(j) = -j**2 + 2. Let n be i(0). Factor 5*s**2 + 5*s - 2*s + 2 - n*s**2 + 2*s.
(s + 1)*(3*s + 2)
Suppose -10*n = -9*n. Let g(q) be the third derivative of -1/180*q**6 + 1/180*q**5 + n*q**3 + 0 + q**2 + 1/72*q**4 + 0*q. Find m, given that g(m) = 0.
-1/2, 0, 1
Suppose -z + q + 2 = 0, z - 15 - 11 = -5*q. Suppose z = 3*g - 9. Factor 4*m**2 + m + 0*m**5 + m**4 + 3*m**4 + m**g + 6*m**3.
m*(m + 1)**4
Factor -7*x**2 - 41*x**3 - 43*x**3 - x**5 + 3*x**4 + 4 + 85*x**3.
-(x - 2)**2*(x - 1)*(x + 1)**2
Let -34 + 335*k**3 + 446*k**4 - 1040*k**2 + 245*k**5 + 674*k**4 - 13 - 33 - 580*k = 0. What is k?
-4, -1, -2/7, 1
Let m be 1 + -2 + -2 + -2 + 7. Let h be ((-1)/(-6))/((-1)/(-3)). Factor 0*o + 0*o**m - h*o**5 - 2*o**4 - 2*o**3 + 0.
-o**3*(o + 2)**2/2
Suppose -7*y - 10 = -24. Factor -4*l**3 + 0*l**4 + 8*l + y*l**4 + 0*l**4 - l**2 - 5*l**2 + 8.
2*(l - 2)**2*(l + 1)**2
Let z(y) be the second derivative of 0 - 1/54*y**4 + 3*y + 1/27*y**3 + 0*y**2. Suppose z(a) = 0. Calculate a.
0, 1
Let r(y) be the third derivative of -y**6/24 - y**5/12 + 8*y**2. Determine n, given that r(n) = 0.
-1, 0
Let j(f) be the first derivative of f**5/30 - f**4/12 + f**3/18 + 3*f - 2. Let k(q) be the first derivative of j(q). Factor k(x).
x*(x 