9*c**f + 0*c.
-2*(c - 1)*(c + 2)**2/9
Factor 0*i - 2/3 + 2/3*i**2.
2*(i - 1)*(i + 1)/3
Suppose -11*b = b - 12. Let j(r) be the first derivative of b - 3/2*r**2 - 1/4*r**4 - r - r**3. Factor j(n).
-(n + 1)**3
Let p(k) be the second derivative of k**4/60 - k**3/15 + k**2/10 + k. Factor p(r).
(r - 1)**2/5
Let l(t) = 3*t**4 + 6*t**3 + 5*t**2 + 2*t. Let u(i) = 4*i**4 + 7*i**3 + 6*i**2 + 3*i. Let g(q) = -6*l(q) + 4*u(q). Let g(w) = 0. Calculate w.
-3, -1, 0
Let c(z) be the third derivative of 0*z - 4*z**2 - 1/240*z**5 + 1/12*z**3 + 0 - 1/96*z**4. Factor c(d).
-(d - 1)*(d + 2)/4
Let w(o) be the third derivative of o**5/40 + o**4/16 - o**3/2 + 17*o**2. Factor w(b).
3*(b - 1)*(b + 2)/2
Let g(q) be the first derivative of 0*q**6 + 0*q + 0*q**5 - 1/2520*q**7 - 2 + 0*q**4 + 1/3*q**3 + 0*q**2. Let r(l) be the third derivative of g(l). Factor r(s).
-s**3/3
Let z be 1/(((-42)/6)/14 + 1). Let -1/2 - 11/4*s - 7/2*s**z = 0. Calculate s.
-1/2, -2/7
Let t(b) be the first derivative of -b**7/210 - b**6/30 + b**5/30 + b**4/2 - 3*b**3/2 + 2*b**2 - 6. Let x(d) be the second derivative of t(d). Factor x(y).
-(y - 1)**2*(y + 3)**2
Let t be (76/30 - 2)*72/16. What is b in -16/5 - t*b**2 + 2/5*b**3 + 24/5*b = 0?
2
Suppose 0 = -d + 5*d - 3*d. Suppose 0*f + 4*f - 20 = 0. Determine w, given that -4/3*w**3 - 2/3*w**f + d + 2*w**4 + 0*w + 0*w**2 = 0.
0, 1, 2
Let -2/5*c**3 + 6/5*c + 0 + 4/5*c**2 = 0. Calculate c.
-1, 0, 3
Let l = 2/39 - -31/156. Factor 3/4*r**2 - l + 1/2*r.
(r + 1)*(3*r - 1)/4
Let x(o) be the third derivative of 69/10*o**6 + 0*o**3 + 1/12*o**8 + 9*o**4 + 0*o + 81/5*o**5 + 0 + 26/21*o**7 + 3*o**2. Factor x(j).
4*j*(j + 3)**3*(7*j + 2)
Let u be ((-4)/42)/(7/(-49)). Let f(d) be the first derivative of -2*d - u*d**3 - 2*d**2 - 1. Factor f(z).
-2*(z + 1)**2
Let l(c) be the first derivative of -c**3/5 + 3*c**2/2 - 12*c/5 + 29. Factor l(a).
-3*(a - 4)*(a - 1)/5
Let t(v) be the third derivative of -v**7/525 + v**6/200 + v**5/150 + 22*v**2. Determine s, given that t(s) = 0.
-1/2, 0, 2
Let 0 + 0*v + 0*v**2 + 3/2*v**4 - 1/2*v**5 - v**3 = 0. What is v?
0, 1, 2
Let n(t) be the third derivative of 0*t + 0*t**4 + 6*t**2 + 0*t**5 + 0*t**3 + 1/360*t**6 + 0 + 1/180*t**7. Determine i, given that n(i) = 0.
-2/7, 0
Let q(z) be the third derivative of -4/3*z**3 - 1/105*z**7 + 1/10*z**6 + z**4 - 13/30*z**5 - 5*z**2 + 0 + 0*z. Factor q(f).
-2*(f - 2)**2*(f - 1)**2
Let u(p) be the first derivative of p**4/4 + p**3 - p**2/2 - 3*p + 7. Factor u(i).
(i - 1)*(i + 1)*(i + 3)
Let t(w) = -4*w**2 - w + 10. Let j be t(-3). Let d = -21 - j. Factor 2/3*r**3 - 4/3 + 2/3*r**4 - d*r**2 - 10/3*r.
2*(r - 2)*(r + 1)**3/3
Let z(q) be the first derivative of -q**4/16 + q**3/12 + q**2/8 - q/4 - 16. Solve z(a) = 0.
-1, 1
Let o(l) be the second derivative of l**7/14 + 3*l**6/10 + 9*l**5/20 + l**4/4 - 32*l. Factor o(f).
3*f**2*(f + 1)**3
Let o(z) = -z**2 + 37*z + 81. Let f be o(39). Suppose -7*m + 2*m - 6 = -3*u, -5*u + 4*m + 10 = 0. Factor 1 + 5/2*k + u*k**2 + 1/2*k**f.
(k + 1)**2*(k + 2)/2
Suppose g = -3*q + 5, -3*g + 3*q + 3 = -0. Factor 19*n**g - 25*n**2 - n - 3 - 8*n.
-3*(n + 1)*(2*n + 1)
Let y(t) be the first derivative of t**6/6 + 2*t**5/5 + t**4/4 + 8. Factor y(z).
z**3*(z + 1)**2
Let f = 10 - 6. Let q be 0 - -4 - (f + -3). Factor -5*n**4 + 0*n**2 + n**2 + n**4 - q*n**3.
-n**2*(n + 1)*(4*n - 1)
Let q(x) be the first derivative of 1 + x**2 - 3*x + 0*x**3 - 1/6*x**4. Let s(w) be the first derivative of q(w). Solve s(y) = 0 for y.
-1, 1
Let f(g) be the second derivative of 0 - 1/3*g**2 - 1/20*g**5 - 5/18*g**4 - 3*g - 1/2*g**3. Factor f(z).
-(z + 1)*(z + 2)*(3*z + 1)/3
Let h(o) = 8*o**2 - 17*o + 20. Let g(v) = -15*v**2 + 35*v - 40. Let w(u) = 3*g(u) + 5*h(u). Factor w(l).
-5*(l - 2)**2
Let o(x) be the third derivative of 0*x**4 - 1/140*x**5 - 1/280*x**6 + 0 + 0*x**3 + 3*x**2 + 0*x. Suppose o(t) = 0. Calculate t.
-1, 0
Find i, given that 25/8*i**4 - 5/8*i**3 + 0*i + 0 - 1/4*i**2 = 0.
-1/5, 0, 2/5
Factor -10/7*p**3 + 16/7*p**2 - 8/7*p + 2/7*p**4 + 0.
2*p*(p - 2)**2*(p - 1)/7
Let l(i) be the third derivative of 1/108*i**4 + 1/135*i**5 - i**2 + 1/540*i**6 + 0 + 0*i**3 + 0*i. Find d such that l(d) = 0.
-1, 0
Find t, given that 0 + 16/3*t + 28/3*t**2 - 4/3*t**4 + 8/3*t**3 = 0.
-1, 0, 4
Factor 2/5*l**2 + 0*l + 0.
2*l**2/5
Let a be (-16)/(-28) - 60/(-42). Let r = 2 + 0. Factor 7*w**a - w**4 - 4*w - r*w**5 + 4*w**4 + 7*w**4 + 7*w**2 - 18*w**3.
-2*w*(w - 2)*(w - 1)**3
Factor -5*u**2 + 511*u + 20*u**3 - 601*u + 5*u**4 - 10*u**2.
5*u*(u - 2)*(u + 3)**2
Suppose 0 = j - 7 + 2. Let t(q) be the third derivative of 1/12*q**4 + 0*q + 1/120*q**j + 1/3*q**3 + 0 + 2*q**2. Factor t(d).
(d + 2)**2/2
Let b(l) be the second derivative of 0*l**2 - 1/20*l**6 + 0*l**5 + 0 + 1/8*l**4 - 1/56*l**7 + 1/8*l**3 - 3*l. Let b(t) = 0. Calculate t.
-1, 0, 1
Suppose 3*i - s = 2 + 4, -5*s = 15. Determine r, given that i - r - 3 + 0*r + 0*r + r**2 = 0.
-1, 2
Let s(c) be the second derivative of -1/5*c**5 + 8*c + 4*c**2 + 4/3*c**4 - 10/3*c**3 + 0. Suppose s(z) = 0. Calculate z.
1, 2
Suppose 3*v + 23 = 4*z, -5*z + v - 5 = -20. Let y(t) be the third derivative of -1/36*t**4 + 0*t**3 - 1/45*t**5 - 2*t**z + 0 + 0*t - 1/180*t**6. Factor y(c).
-2*c*(c + 1)**2/3
Let u(b) be the second derivative of -b**5/80 + b**4/24 + b**3/24 - b**2/4 - 10*b. What is y in u(y) = 0?
-1, 1, 2
Let r(b) = b**3 - 3*b**2 - 4*b - 3. Let z(k) be the first derivative of k**3/3 + k**2/2 + k + 2. Let y(w) = -r(w) - 3*z(w). Factor y(x).
-x*(x - 1)*(x + 1)
Factor -36/5*l - 27/5*l**3 - 8/5 - 54/5*l**2.
-(3*l + 2)**3/5
Let w(l) be the second derivative of 1/80*l**5 - 1/168*l**7 + 1/48*l**4 + 0*l**3 + 0*l**2 - 1/120*l**6 + 4*l + 0. Factor w(j).
-j**2*(j - 1)*(j + 1)**2/4
Let q(y) = -y**2 - 4*y + 2. Let b be q(3). Let r = b - -31. Let 2*j**5 + 8*j**2 + r*j**3 - j + 5*j**4 + 3*j**4 + 3*j = 0. What is j?
-1, 0
Let i(p) be the third derivative of -p**5/180 - p**4/72 + 19*p**2. Factor i(q).
-q*(q + 1)/3
Let v(p) be the first derivative of -1/6*p**3 - 4 + 1/8*p**2 + 0*p + 1/16*p**4. Solve v(c) = 0.
0, 1
Factor 3/2 + 9/4*w + 3/4*w**2.
3*(w + 1)*(w + 2)/4
Let a(o) be the first derivative of 99*o**4/2 + 80*o**3/3 + 4*o**2 + 3. Let a(w) = 0. Calculate w.
-2/9, -2/11, 0
Let g(l) be the third derivative of -l**2 + 0 + 0*l - 1/120*l**6 - 1/420*l**7 + 1/60*l**5 + 1/672*l**8 + 1/48*l**4 - 1/12*l**3. Let g(z) = 0. What is z?
-1, 1
Let c be (5 + 1)/(4/8). Factor 4*n + 5*n**4 + 7*n**4 + c*n**2 - 7*n - 18*n**3 - 3*n**5.
-3*n*(n - 1)**4
Let b(r) be the third derivative of -r**7/105 + r**6/27 - 13*r**5/270 + r**4/54 - 7*r**2. Factor b(u).
-2*u*(u - 1)**2*(9*u - 2)/9
Let r(p) be the first derivative of -4/9*p - 5 - 1/9*p**2 + 2/27*p**3. Factor r(k).
2*(k - 2)*(k + 1)/9
Let d(y) be the third derivative of -y**6/1440 - y**5/480 - y**3/2 - 6*y**2. Let a(h) be the first derivative of d(h). Find m, given that a(m) = 0.
-1, 0
Factor -2/7*v - 1/7*v**3 - 3/7*v**2 + 0.
-v*(v + 1)*(v + 2)/7
Factor 3/8*r**2 - 3/4*r + 3/8.
3*(r - 1)**2/8
Let h be ((-8)/7)/(18/(-63)). Let 1/2*c**5 + 7/2*c**3 - h*c + 2 - 5/2*c**4 + 1/2*c**2 = 0. Calculate c.
-1, 1, 2
Let b(v) be the first derivative of v**6/150 + v**5/30 + v**4/60 - 2*v**3/15 - 3*v**2/2 + 3. Let l(d) be the second derivative of b(d). Solve l(y) = 0.
-2, -1, 1/2
Let v be (-11 + 8)/((-3)/(-2)). Let q be 7/21 + v/6. Factor q*l + 0*l**2 + 0 - 2/5*l**3 - 2/5*l**4.
-2*l**3*(l + 1)/5
Let v(n) = n**3 - 6*n**2 + 3*n + 1. Let j be v(6). Factor -12 + 2*z + 22*z**2 - j*z**2 - 3*z + 10*z.
3*(z - 1)*(z + 4)
Let o(t) be the second derivative of t**6/180 - t**5/40 + t**4/24 - t**3/36 + t. Suppose o(c) = 0. Calculate c.
0, 1
Let h = 355 + -353. Factor 2/7*x**h - 4/7 - 2/7*x.
2*(x - 2)*(x + 1)/7
Suppose -2*r = 3*r + 15. Let m(u) = -u**3 - 2*u**2 + 3*u. Let h be m(r). Determine z so that 1/2*z**2 + h - 1/4*z - 1/4*z**3 = 0.
0, 1
Let p(w) be the first derivative of -w**4/60 + w**3/15 - w**2/10 - w + 3. Let h(z) be the first derivative of p(z). Factor h(v).
-(v - 1)**2/5
Let w(c) be the third derivative of -1/270*c**5 + 0 + 0*c**3 - 3*c**2 + 1/54*c**4 + 0*c. Factor w(x).
-2*x*(x - 2)/9
Factor 3796*l - 2275*l - 26244 + 144*l**3 + 8766*l - 1944*l**2 - 4*l**4 + 1377*l.
-4*(l - 9)**4
Let u(q) = -q**3 - q**2 + 1. Let b(v) = 8*v**3 + 12*v**2 - 2*v - 3. Let r(t) = -2*b(t) - 6*u(t). Solve r(