 1/4*v**s.
-(v - 1)*(v + 1)/4
Let m(c) = -c + 2. Let g be m(5). Let z(o) = -2*o**3 + 4*o**2 - 5*o. Let h(r) = -r**3 + 2*r**2 - 3*r. Let j(b) = g*z(b) + 5*h(b). Factor j(u).
u**2*(u - 2)
Let z(b) be the third derivative of b**6/40 + b**5/4 + b**4/4 - 4*b**3 + 25*b**2. Factor z(q).
3*(q - 1)*(q + 2)*(q + 4)
Let s(d) be the third derivative of -d**5/15 + d**4/18 + 33*d**2. Solve s(n) = 0.
0, 1/3
Suppose 5*m + 72 = -4*v, 0 = 2*m - 3*m + 3*v - 3. Let o be 3/18*m/(-8). Factor -1/2*u + o*u**2 + 1/4.
(u - 1)**2/4
Suppose -2*o - 39 = -5*n, -4*n + 2*o = 5*o - 22. Let t = n + -5. Find k such that 1/4*k**4 + 0 - 1/4*k**t + 0*k + 0*k**3 = 0.
-1, 0, 1
Let w = -1031/12 + 86. Let g(r) be the first derivative of 4 + w*r**3 - 1/4*r**2 + 0*r. Factor g(l).
l*(l - 2)/4
Let k(y) be the first derivative of y**5/30 - y**4/12 - 2*y**3/3 + 3*y**2/2 - 2. Let b(c) be the second derivative of k(c). Factor b(a).
2*(a - 2)*(a + 1)
Solve 6/7*m**2 + 2/7*m**4 + 0 - 10/7*m**3 + 0*m + 2/7*m**5 = 0 for m.
-3, 0, 1
Let x(a) = -a**5 + 11*a**4 - 10*a**3 + 16*a**2 - 11*a - 5. Let u(s) = -s**5 + 10*s**4 - 10*s**3 + 15*s**2 - 10*s - 4. Let h(y) = -6*u(y) + 5*x(y). Factor h(k).
(k - 1)**5
Let z(l) be the third derivative of l**6/80 + l**5/8 + l**4/8 - 2*l**3 + 2*l**2 - 9. Find b such that z(b) = 0.
-4, -2, 1
Let m = 10831/30 + -361. Let i(v) be the first derivative of 0*v**3 + 1/8*v**4 + 0*v - 1/3*v**2 - 1 - m*v**5. Factor i(c).
-c*(c - 2)**2*(c + 1)/6
Let z(p) be the third derivative of 3*p**2 + 1/240*p**6 + 0*p**4 + 0*p**3 + 0 + 1/60*p**5 + 0*p. Solve z(t) = 0.
-2, 0
Let p be (40/(-16))/(1/(-2)). Let r(j) = -4 - 3*j**3 + 4 - 3 + 6*j. Let g(s) = -7*s**3 + s**2 + 11*s - 5. Let i(o) = p*r(o) - 3*g(o). Factor i(f).
3*f*(f - 1)*(2*f + 1)
Let h(x) be the second derivative of -x**5/45 - x**4/9 - 2*x**3/9 - 2*x**2/9 - 28*x. Find q, given that h(q) = 0.
-1
Let 4 - 2/9*t**3 - 8/9*t**2 + 2/3*t = 0. What is t?
-3, 2
Factor -3*q**3 + 7*q + 0*q**3 - 12*q + 17*q.
-3*q*(q - 2)*(q + 2)
Let y = 43/21 - 5/7. Determine g, given that -2/3*g**5 + 2/3*g + 0 + 0*g**3 - y*g**2 + 4/3*g**4 = 0.
-1, 0, 1
Let r(w) be the first derivative of -2*w**3/9 + 4*w**2/3 - 8*w/3 + 2. Solve r(l) = 0 for l.
2
Let i = -9 - -14. Let v = 7 - i. Factor -7*d + d - v + 7*d**2 + d**2.
2*(d - 1)*(4*d + 1)
Let j be ((-28)/(-21))/(2/(-6)). Let z(u) = -3*u - 7. Let a be z(j). Factor -13/2*y**2 - 7/2*y**a - 27/2*y**3 + 0 - y - 23/2*y**4.
-y*(y + 1)**3*(7*y + 2)/2
Suppose 0 = 9*j + 2*j - 22. What is z in 0*z + 0*z**2 - 1/2*z**5 + 0 - 2*z**3 + j*z**4 = 0?
0, 2
Factor -2/9*u**4 + 0*u**2 + 0*u + 0 - 2/9*u**3.
-2*u**3*(u + 1)/9
Let o(f) = -f + 12. Let q be o(10). Find d such that d**2 + 3*d - 8*d - q + 4*d = 0.
-1, 2
Factor 4/17*c**2 + 0 - 4/17*c**4 + 2/17*c**5 - 2/17*c + 0*c**3.
2*c*(c - 1)**3*(c + 1)/17
Let -1/2*o**2 + 2/3 - 1/6*o**3 + 0*o = 0. Calculate o.
-2, 1
Factor 2/17*r**2 + 0 + 4/17*r.
2*r*(r + 2)/17
Let k = -3/14 + 1/2. Suppose -2/7*v**5 + 2/7*v**4 - k*v**2 + 0*v + 2/7*v**3 + 0 = 0. What is v?
-1, 0, 1
Let l(h) be the third derivative of -h**8/1344 + h**7/840 + h**6/240 - h**5/120 - h**4/96 + h**3/24 + 6*h**2. Factor l(w).
-(w - 1)**3*(w + 1)**2/4
Let q(m) = -7*m**4 - 6*m**3 - 4*m**2 + 5. Let h be (-15)/(2/(-6)*-3). Let b(z) = -3*z**4 - 3*z**3 - 2*z**2 + 2. Let i(x) = h*b(x) + 6*q(x). Factor i(s).
3*s**2*(s + 1)*(s + 2)
Let c(p) be the first derivative of -3*p**4/4 + 2*p**3 + 3*p**2/2 - 3*p - 1. Let x(o) = -3*o**3 + 7*o**2 + 3*o - 3. Let h(j) = -4*c(j) + 3*x(j). Factor h(n).
3*(n - 1)**2*(n + 1)
Factor -2*f + 5*f**4 - 2*f**5 - 16*f**3 + 7*f**3 + 7*f**2 + f**5 + 0*f**4.
-f*(f - 2)*(f - 1)**3
Let z(q) be the first derivative of q**4/2 - 6*q**3 + 27*q**2 - 54*q + 5. Factor z(n).
2*(n - 3)**3
Let o(d) be the third derivative of d**6/40 - d**5/10 + 7*d**4/12 + 3*d**2. Let g(q) = q**3 - 2*q**2 + 5*q. Let b(c) = -11*g(c) + 4*o(c). Solve b(f) = 0 for f.
0, 1
Let k = -21 + 27. Let q(o) be the second derivative of -4*o + 0*o**3 - 1/54*o**4 + 0 + 1/135*o**k + 1/90*o**5 + 0*o**2 - 1/189*o**7. Solve q(v) = 0.
-1, 0, 1
Let l(f) be the third derivative of -f**5/3 + 5*f**3/6 - 13*f**2. Factor l(c).
-5*(2*c - 1)*(2*c + 1)
Find t, given that -8/5*t**2 + 6/5*t + 2/5 = 0.
-1/4, 1
Let r(i) be the second derivative of 0 + 0*i**3 + 0*i**2 + 1/30*i**4 + 6*i. Factor r(o).
2*o**2/5
Let k = 122 - 119. What is o in 0 + 8/5*o**2 + 2/5*o**k + 8/5*o = 0?
-2, 0
Let f = 2 - 6. Let j be 36/(-15)*2/f. Factor -6/5*w**2 - j*w**3 - 2/5*w**4 - 2/5*w + 0.
-2*w*(w + 1)**3/5
Factor -79*x**2 + 74*x**2 + 0*x - 5*x.
-5*x*(x + 1)
Factor -4/5*j**2 + 2/5*j**3 + 0 + 0*j.
2*j**2*(j - 2)/5
Let k(u) be the third derivative of u**10/302400 - u**8/20160 + u**6/1440 - u**5/20 + 4*u**2. Let l(q) be the third derivative of k(q). Factor l(a).
(a - 1)**2*(a + 1)**2/2
Factor 1/2*i + 3 - 1/2*i**2.
-(i - 3)*(i + 2)/2
Let k(r) = 75*r**3 - 85*r**2 + 7*r. Let p(v) = 75*v**3 - 85*v**2 + 8*v. Let j(z) = 2*k(z) - 3*p(z). Solve j(i) = 0 for i.
0, 2/15, 1
Factor 40/3*c - 5/6*c**2 - 5/6*c**3 - 50/3.
-5*(c - 2)**2*(c + 5)/6
Let r(x) be the third derivative of -x**8/1260 - x**7/420 + x**6/270 - x**3/3 + 2*x**2. Let v(t) be the first derivative of r(t). Solve v(y) = 0 for y.
-2, 0, 1/2
Let r be -2 - -8 - 1 - 2. Suppose -2 - 6 = -2*s - 4*p, 0 = 5*p - 5. Determine u so that 2/7*u - 2/7*u**r + 0*u**s + 0 = 0.
-1, 0, 1
Suppose -4/5*c**2 + 4/5*c**4 - 1/5*c + 4/5*c**5 + 0 - 3/5*c**3 = 0. What is c?
-1, -1/2, 0, 1
Let t(o) be the first derivative of o**6/360 - o**5/45 + o**4/18 - o**2 + 2. Let r(h) be the second derivative of t(h). Solve r(n) = 0.
0, 2
Let a be 2/45*(-2)/((-8)/6). Let v(n) be the second derivative of 0 + 2*n - a*n**4 - 1/15*n**3 + 1/105*n**7 + 2/75*n**6 + 0*n**2 + 0*n**5. Solve v(t) = 0 for t.
-1, 0, 1
Let c(m) = -2*m + 2. Let y be c(-5). Let k be 20/y + -2 + 1. Suppose 2/3*v**4 + k*v + 0 - 2/3*v**2 - 2/3*v**3 = 0. Calculate v.
-1, 0, 1
Let l(o) be the second derivative of o**4/30 - o**3/5 + 11*o. Determine k so that l(k) = 0.
0, 3
Let s(x) be the third derivative of x**6/240 + x**5/120 - x**4/12 - x**3/3 - x**2. Suppose s(c) = 0. Calculate c.
-2, -1, 2
Suppose 0*f + 2*f - 13*f = 0. Factor f - 2/7*a**3 + 0*a + 4/7*a**2.
-2*a**2*(a - 2)/7
Let a be (3 - 0/(-2)) + 2. Factor -a - 3*l**3 - 15*l**2 + 6*l - 4 - 30*l - 3.
-3*(l + 1)*(l + 2)**2
Let h be ((-56)/(-21))/(-8) + (-14)/(-6). Factor 14/3*k + 4/3 + 10/3*k**h.
2*(k + 1)*(5*k + 2)/3
Let c(y) be the third derivative of -y**7/3360 + y**6/1440 + y**3/2 - 2*y**2. Let z(u) be the first derivative of c(u). Factor z(m).
-m**2*(m - 1)/4
Suppose -85*w + 5*o = -81*w, -4*w = -4*o. Let 0*k + 0*k**2 + 0*k**3 + 2/3*k**4 + w + 5/3*k**5 = 0. What is k?
-2/5, 0
Factor -7/4 + 4*r**3 + 57/4*r - 30*r**2.
(r - 7)*(4*r - 1)**2/4
Let f(m) be the first derivative of 2*m**3/21 - m**2/7 - 12*m/7 - 5. Factor f(a).
2*(a - 3)*(a + 2)/7
Suppose -4 = -2*g - 2*p, -5*g - 5 - 5 = p. Let b be ((-42)/9)/(1/g). Factor 17/2*h - 43/2*h**2 - 1 + b*h**3.
(h - 1)*(4*h - 1)*(7*h - 2)/2
Let s = 13 - 1. Solve -4*l - 3*l**3 + 3*l**3 + 4*l**4 - s*l**2 + 8 + 4*l**3 = 0.
-2, -1, 1
Let u = -55 - -34. Let h be (-36)/u + 4/14. Factor -9*s**4 + 19*s**4 + 8*s**4 + 18*s**3 - 6*s**3 + h*s**2 + 8*s**5.
2*s**2*(s + 1)**2*(4*s + 1)
Let t be 9/3 + (-4)/(-12)*-3. Let o(z) be the third derivative of 0 + 0*z + 3/20*z**5 + 1/2*z**3 - 3*z**t - 1/40*z**6 - 3/8*z**4. Determine h so that o(h) = 0.
1
Suppose -6*j + 2*j = -12. Factor -11*o + 27*o**2 - 5*o - 12*o**j + 3 + 9*o - 11*o.
-3*(o - 1)**2*(4*o - 1)
Let z(v) = 49*v**5 - 109*v**4 - 51*v**3 + 9. Let d(o) = -12*o**5 + 27*o**4 + 13*o**3 - 2. Let a(b) = -9*d(b) - 2*z(b). Factor a(l).
5*l**3*(l - 3)*(2*l + 1)
Let m be 13/(-936)*-30 - 2/(-8). Factor k**4 - k**2 + 2/3*k**3 - m*k + 0.
k*(k - 1)*(k + 1)*(3*k + 2)/3
Let f be 0 - (0 - (4 - 2)). Factor -2/7 + 4/7*c**f + 0*c**3 + 0*c - 2/7*c**4.
-2*(c - 1)**2*(c + 1)**2/7
Let i(f) be the second derivative of f**5/110 - f**4/33 - f**3/11 - 2*f. Factor i(o).
2*o*(o - 3)*(o + 1)/11
Suppose -26*p = -28*p. Find s such that 0 + 1/4*s**2 + p*s = 0.
0
Factor 1/5*l - 1/5 - 1/5*l**3 + 1/5*l**2.
-(l - 1)**2*(l + 1)/5
Suppose 2/3 - 1/3*p**2 - 1/3*p = 0. What is p?
-2, 1
Let f be 3 - (-9)/(-6)*4. Let c be 4 - 1 - 1 - f. Factor 0 + 0*m**3 - 2/3*m**c + 0*m**4 + 0*m**2 + 0*m.
-2*m**5/3
Let k be 3 - (6/(-1) - (-177)/21). Let k*n**2 