 0.
-1, 2
Let j = -1303/10 + 261/2. Factor -j*m**2 + 6/5*m - 9/5.
-(m - 3)**2/5
Determine w, given that 1/3*w**3 - 5/9*w**2 + 4/9 - 4/9*w = 0.
-1, 2/3, 2
Let t(k) be the second derivative of -1/24*k**4 - 2*k + 1/4*k**2 - 1/24*k**3 + 1/80*k**5 + 0. Factor t(h).
(h - 2)*(h - 1)*(h + 1)/4
Suppose 10 + 40*v**2 - 10*v**4 + 5*v**5 - 22*v - 15*v - 10*v**3 + 2*v = 0. What is v?
-2, 1
Let g = 0 - 0. Let b(p) be the second derivative of -1/9*p**3 + g*p**2 - 1/30*p**5 + 1/9*p**4 + 0 - 2*p. Let b(r) = 0. What is r?
0, 1
Find v such that 486 + 12*v + 242*v**2 + 516*v - 198 = 0.
-12/11
Let y(b) be the third derivative of b**5/20 + b**4/2 - 3*b**2. Factor y(v).
3*v*(v + 4)
Let s(h) be the third derivative of 3*h**7/70 - h**6/2 + 12*h**5/5 - 6*h**4 + 8*h**3 + 7*h**2. Factor s(u).
3*(u - 2)**3*(3*u - 2)
Suppose 4*q + 0*y + 3*y - 4 = 0, 0 = 4*q + 2*y - 8. Let n be (2/1)/(q/6). Let -5*v**3 - 2*v + 3*v**n + 0*v**2 + 4*v**2 = 0. Calculate v.
0, 1
Let w(l) be the third derivative of 1/840*l**6 + 0*l - 1/84*l**4 + 0 - 1/420*l**5 + 0*l**3 - 4*l**2. Factor w(b).
b*(b - 2)*(b + 1)/7
Let o(t) be the third derivative of t**8/672 + t**7/105 + t**6/80 - t**5/30 - t**4/12 + 2*t**2. Factor o(x).
x*(x - 1)*(x + 1)*(x + 2)**2/2
Let t(q) be the first derivative of 0*q**2 - 4/3*q + 1/12*q**4 - 1/18*q**6 + 3 + 7/9*q**3 - 1/5*q**5. Find h, given that t(h) = 0.
-2, -1, 1
Let p(s) be the second derivative of 1/90*s**6 + 0 - 2*s - 1/30*s**5 + 0*s**2 + 1/36*s**4 + 0*s**3. Solve p(o) = 0.
0, 1
Let c(f) = 6*f**4 - 20*f**3 + 50*f**2 + 4*f. Let o(g) = g**4 + g. Let x(k) = -c(k) + 4*o(k). Factor x(p).
-2*p**2*(p - 5)**2
Let x = -16 + 18. Factor 0 + 2 + 4*b**4 - x.
4*b**4
Let u(g) = -g**3 - 7*g**2 + 6*g - 10. Let c be u(-8). Determine q, given that c*q**2 - 1 + 0*q**2 + 0*q**3 + 3*q**4 - 8*q**3 = 0.
-1/3, 1
Let s(v) be the third derivative of -v**8/8400 + v**6/900 - v**4/120 - v**3/3 + 4*v**2. Let t(h) be the first derivative of s(h). Factor t(y).
-(y - 1)**2*(y + 1)**2/5
Determine s so that -14/9 + 2/9*s**3 - 2*s**2 + 10/3*s = 0.
1, 7
Let l be (-13)/39 + (-2)/(-4). Let g(k) be the second derivative of -l*k**4 - 4*k**2 - 6/5*k**5 + 3*k + 0 + 4*k**3 - 4/15*k**6. Suppose g(v) = 0. Calculate v.
-2, 1/2
Let n(o) be the first derivative of -o**6/24 + 3*o**5/40 + o**4/32 - o**3/8 + o**2/16 - 47. Let n(d) = 0. What is d?
-1, 0, 1/2, 1
Suppose 14*p - 29 = -1. Factor -1/3*v**3 + 0*v - 2/3*v**p + 0 + v**4.
v**2*(v - 1)*(3*v + 2)/3
Factor -q**3 + 20*q**2 + 24*q - 3*q**3 - 40*q.
-4*q*(q - 4)*(q - 1)
Let u be -1 + (-6 - -4 - -5). Determine g so that 2*g + u*g**2 + 1/2*g**3 + 0 = 0.
-2, 0
Suppose 0*a + 2*a - 12 = -2*l, 3*l - 14 = a. Let u(b) be the second derivative of 0*b**2 - b + 1/40*b**l + 0*b**4 - 1/12*b**3 + 0. Factor u(o).
o*(o - 1)*(o + 1)/2
Let c = 11 - 5. Let y be -8*3/c + 4. Solve 2/3*r + y - 2/3*r**3 + 0*r**2 = 0.
-1, 0, 1
Determine a, given that 1/8*a**3 + 0 + 1/8*a**2 - 1/4*a = 0.
-2, 0, 1
Let s(p) be the second derivative of -p**4/48 - p**3/6 - 14*p. Factor s(z).
-z*(z + 4)/4
Let v(y) be the second derivative of 0 - 3/4*y**4 - 5*y + 1/2*y**3 + 3*y**2. Find i such that v(i) = 0.
-2/3, 1
Suppose -5*p - 25 = 0, 30 = 5*l - 5*p + p. Let b(i) be the first derivative of 2/9*i**3 - 2/3*i**l - 2 + 2/3*i. Factor b(d).
2*(d - 1)**2/3
Let x(s) = -10*s + 50. Let f be x(5). Determine j, given that -2/3*j**3 + 0*j**4 + 2/3*j**5 + 0*j + f + 0*j**2 = 0.
-1, 0, 1
Let t(z) = -z**3 + 5*z**2 + 3. Let d be t(5). Suppose 7*h - 20 = d*h. Suppose 0*s**3 - s**5 - s**3 - 5*s**4 - 2*s**5 - s**h = 0. Calculate s.
-1, -1/4, 0
Suppose 0*p - p + 3 = 0. Factor 4*y + 2*y**2 + 0*y**2 - 5*y**p + 0*y - y**3.
-2*y*(y - 1)*(3*y + 2)
What is q in -1/4*q**5 + 0*q + 1/4*q**2 + 1/4*q**3 + 0 - 1/4*q**4 = 0?
-1, 0, 1
Let n be -3*(0 + -1 + 0). Solve n*g**3 + 2 - 3*g**2 + g - 5*g**3 + 4*g**3 + g**4 - 3*g**3 = 0.
-1, 1, 2
Factor -28*b**3 - 125 - 12*b - 2*b**5 + 12*b**4 - 6*b + 129 + 32*b**2.
-2*(b - 2)*(b - 1)**4
Let n(b) be the first derivative of -b**4/32 + b**3/6 - 5*b**2/16 + b/4 - 22. Factor n(r).
-(r - 2)*(r - 1)**2/8
Let p = -221/14 + 225/14. Factor -p*y**3 + 6/7 - 6/7*y**2 + 2/7*y.
-2*(y - 1)*(y + 1)*(y + 3)/7
Factor -6/7*b - 2/7*b**2 - 4/7.
-2*(b + 1)*(b + 2)/7
Let l be (-2)/(-3) - (-8)/6. Let s be (l + 0)/(2/2). Determine i so that 1/2*i**3 + 0*i**s + 0 + 0*i = 0.
0
Let n(s) = 4*s**2 - 29*s + 41. Let l(v) = -6*v**2 + 43*v - 61. Suppose 12*u - 10*u = 14. Let w(z) = u*n(z) + 5*l(z). Factor w(k).
-2*(k - 3)**2
Factor 6/5*l**3 - 2/5*l**4 - 4/5*l**2 + 0 + 0*l.
-2*l**2*(l - 2)*(l - 1)/5
Solve 1/4*m**2 - 1/2*m + 1/4 = 0 for m.
1
Let v(i) be the second derivative of 1/6*i**4 + 1/20*i**5 - i + 1/6*i**3 + 0 + 0*i**2. Factor v(t).
t*(t + 1)**2
Suppose b = 3*k - 6, b + 1 = -k - k. Suppose 1 = j - k. Suppose j + w**2 - 2 - w**4 = 0. Calculate w.
-1, 0, 1
Suppose -2/3*a - 2/3*a**2 + 4/3 = 0. Calculate a.
-2, 1
Let l(z) be the first derivative of -3*z**4/4 + z**3 + 15*z**2/2 + 9*z + 47. Factor l(a).
-3*(a - 3)*(a + 1)**2
Let r(n) = 2*n**5 + n**3 + n**2 + 3*n + 2. Let y(x) = x**5 - x**4 + x**3 + x**2 + 1. Let o(i) = -4*r(i) + 12*y(i). Let o(s) = 0. What is s?
-1, 1
Let m(n) be the first derivative of -2/3*n**2 - 3 - 1/9*n**3 + 1/18*n**4 - 2*n. Let x(q) be the first derivative of m(q). Determine s so that x(s) = 0.
-1, 2
Let k = -655 + 3281/5. Let 1/5*t**2 + 9/5 - k*t = 0. What is t?
3
Suppose 0 = -4*a - 4*m - m + 25, 0 = 4*a - 4*m - 52. Suppose 3*n - 11 = -w, -2*n = 2*w - a - 0. Factor 0*v - 1/2*v**3 + 2 - 3/2*v**w.
-(v - 1)*(v + 2)**2/2
Let w(g) be the third derivative of -g**8/840 - g**7/525 + 12*g**2. Determine m so that w(m) = 0.
-1, 0
Let z be (-8 + 35)*(3 - 485/165). Find a such that 2/11*a**2 + z - 12/11*a = 0.
3
Let j(f) be the first derivative of 3*f**4/22 - 14*f**3/33 + 2*f**2/11 + 18. Solve j(y) = 0.
0, 1/3, 2
Let y(j) be the third derivative of -j**6/720 + 7*j**5/360 - 5*j**4/48 + j**3/4 + 9*j**2. Factor y(n).
-(n - 3)**2*(n - 1)/6
Let d(j) be the second derivative of -2*j - 1/30*j**4 + 0 + 1/5*j**2 - 1/15*j**3 + 1/50*j**5. Suppose d(y) = 0. What is y?
-1, 1
Let g(m) = 10 - m - 4 - 3. Let l be g(0). Determine t, given that -3/2*t**2 - l - 9/2*t = 0.
-2, -1
Suppose -6*s - 18 = -12*s. Let u(y) be the third derivative of -1/12*y**6 + 3/20*y**5 - 1/12*y**4 + 0*y + 0 + y**2 + 0*y**s. What is f in u(f) = 0?
0, 2/5, 1/2
Factor -10*h**3 + 43*h - 2*h**5 - 43*h + 4*h**2 + 8*h**4.
-2*h**2*(h - 2)*(h - 1)**2
Let j(z) be the second derivative of 0*z**3 + 1/30*z**5 + 0*z**2 - 3*z + 0 + 0*z**4 - 1/90*z**6. Determine x so that j(x) = 0.
0, 2
Let g be 6/210*-4 - (-4)/10. Factor g*t**2 + 4/7 - 6/7*t.
2*(t - 2)*(t - 1)/7
Let k(v) = 26*v - 75. Let u be k(3). Solve -23/2*t**4 - 1/2 + 17*t**3 + u*t**5 - 12*t**2 + 4*t = 0.
1/3, 1/2, 1
Let c(p) = 3*p**3 + 10*p**2 + 5*p. Let z(r) = -r**3 + r. Let v(s) = 2*c(s) - 2*z(s). Factor v(x).
4*x*(x + 2)*(2*x + 1)
Let j(o) be the second derivative of -o**7/10080 - o**6/720 - o**5/120 + o**4/12 - 3*o. Let b(k) be the third derivative of j(k). Factor b(s).
-(s + 2)**2/4
Let u(f) = -f - 3. Let j be u(-5). Let z be (16/(-84))/j*-3. Let 2/7*r**2 + 4/7*r + z = 0. Calculate r.
-1
Suppose 0 = 3*w - 5*w + 6. Suppose -o + 12 = -3*g, -2 + 8 = 5*o + w*g. Let -b**3 - b**3 - o*b**2 + b**2 = 0. Calculate b.
-1, 0
Let x(v) be the first derivative of 0*v**2 + 0*v - 5/6*v**6 + 1/2*v**4 + 3/5*v**5 - 2 + 0*v**3. Factor x(g).
-g**3*(g - 1)*(5*g + 2)
Let a = -18/1027 - -1310578/7189. Let p = a - 182. Factor 0 - p*y**2 - 2/7*y**3 + 0*y.
-2*y**2*(y + 1)/7
Let w be -4*(9/(-3))/(-3). Let t be 9/(-3) - (w - -1). Factor -2/3*n**4 - 2/3*n**2 + 4/3*n**3 + t*n + 0.
-2*n**2*(n - 1)**2/3
Suppose 0 = -5*j + 1 + 29. Suppose 4*n = 3*o - 14, 0 = -0*o + o - 2*n - j. Factor -4/3 + 14/3*u - 14/3*u**3 + 4/3*u**o.
-2*(u - 1)*(u + 1)*(7*u - 2)/3
Factor 24/5*x**2 - 24/5 - 6/5*x + 6/5*x**3.
6*(x - 1)*(x + 1)*(x + 4)/5
Let r(f) be the third derivative of f**8/3360 - f**7/1680 - f**6/720 + f**5/240 + f**3/2 - 2*f**2. Let k(d) be the first derivative of r(d). Factor k(b).
b*(b - 1)**2*(b + 1)/2
Let f be (-3 + 56/16)*0. Factor 2/3*j + f + 1/3*j**2.
j*(j + 2)/3
Let b(a) = -2*a**5 + 4*a**3 - 2. Suppose 3 = z - k - 3, 0 = 3*k + 9. Let j(c) = 1 + c**2 - c**4 - 6*c - c**z + 6*c. Let n(d) = b(d) + 2*j(d). Factor n(y).
-2*y**2*(y - 1)*(y + 1)**2
Let i(w) be the fir