*5/5 + 2*z**4/3 + 2*z**3/3 + 4*z. Factor f(s).
-4*s*(s - 1)*(3*s + 1)
Let y(z) be the third derivative of -z**5/60 - z**4/3 + 3*z**3/2 + 3*z**2. Let d be y(-9). Factor 1/2*f**2 + 1/2*f**3 + 0 + d*f.
f**2*(f + 1)/2
Let k(n) = 8*n + 154. Let l be k(-19). Factor -4/3 + 2/3*x + 2/3*x**l.
2*(x - 1)*(x + 2)/3
Let r be 1/(-10*4/(-160)). Factor 1/4*o**3 + 0 - 1/4*o**r - 1/4*o**5 + 1/4*o**2 + 0*o.
-o**2*(o - 1)*(o + 1)**2/4
Factor 28*i**5 + 9 + 18*i**3 - 27*i**5 - 15*i - 7*i**4 - 4*i**3 - 2*i**2.
(i - 3)**2*(i - 1)**2*(i + 1)
Suppose -5*n - 15 = 3*p, -8*p = 3*n - 3*p + 25. Suppose 0*a - 2*a = n. Factor -2 - 4*t + 0*t - 2*t**2 + a*t**2.
-2*(t + 1)**2
Find i, given that 0*i - 2/9*i**5 + 0 - 2/3*i**3 + 2/9*i**2 + 2/3*i**4 = 0.
0, 1
Let f be (-15*10/(-125))/((-3)/(-10)). Let p(w) be the second derivative of 0*w**f + 3*w - 1/40*w**5 + 0*w**2 + 1/180*w**6 + 0 + 1/9*w**3. Factor p(q).
q*(q - 2)**2*(q + 1)/6
Let j(y) be the second derivative of 0*y**3 - 3/20*y**5 + 0*y**2 + 0*y**4 + 0 + 2*y - 1/14*y**7 + 1/5*y**6. Let j(w) = 0. Calculate w.
0, 1
Let l(n) = -n**3 + 5*n**2 - 4*n + 5. Let r be l(4). Factor 2*g**3 + 4 + 8*g + r*g**2 + g**3 - 2*g**3.
(g + 1)*(g + 2)**2
Let x(w) be the first derivative of -w**4 + 4*w**3 - 4*w**2 + 11. Determine q so that x(q) = 0.
0, 1, 2
Let p(v) be the third derivative of 0 - 1/4*v**3 + 4*v**2 + 1/24*v**4 - 1/360*v**5 + 0*v. Factor p(i).
-(i - 3)**2/6
Let a = -5 - -8. Find l, given that -2/3 + 2/3*l**2 - 2/3*l**a + 2/3*l = 0.
-1, 1
Factor 3/7*u**2 - 1/7*u - 1/7*u**4 + 1/7*u**3 - 2/7.
-(u - 2)*(u - 1)*(u + 1)**2/7
Let u be (-90)/5*2/(-20). Factor -8/5*j**2 + 0 + 3/5*j**3 + u*j**4 - 4/5*j.
j*(j - 1)*(3*j + 2)**2/5
Factor -1/3 - 1/3*t**2 + 2/3*t.
-(t - 1)**2/3
Let o = 5 - 2. Let p(l) = l + 11. Let b be p(-7). Find v, given that b*v + 3*v**o + 11*v**3 + 0*v - 18*v**2 = 0.
0, 2/7, 1
Let c(t) = 5*t**3 - t**2 + 4. Let x be (2/3)/((-8)/(-108)). Let r(h) = 11*h**3 - 2*h**2 + 9. Let z(d) = x*c(d) - 4*r(d). Find l, given that z(l) = 0.
0, 1
Suppose 3 - 21 = -3*v. Factor -4 - 2*t**4 + 4*t - 3*t**3 - t**3 + v + 0*t**4.
-2*(t - 1)*(t + 1)**3
Suppose d = -2 + 4. Suppose -d*a - o + 14 = -6*o, 2*a - 12 = 4*o. Find r such that 0*r + r**a + 0*r = 0.
0
Let c = 105 + -522/5. Factor c + 0*h**2 - 3/5*h**4 + 6/5*h - 6/5*h**3.
-3*(h - 1)*(h + 1)**3/5
Let j(z) be the first derivative of 2 - 5/6*z**2 + 2/3*z - 1/3*z**3. Suppose j(h) = 0. What is h?
-2, 1/3
Factor -d**2 + 2*d**3 - 10*d**2 + 9*d**2 + 10*d**4 + 6*d**5.
2*d**2*(d + 1)**2*(3*d - 1)
Suppose 5*y - 34 = -2*l - 0*l, 0 = 2*y - 4. Factor -11*n - 6*n**3 - 25*n - 12 + l*n**2 - 39*n**2.
-3*(n + 2)**2*(2*n + 1)
Let a(b) be the first derivative of b**6/360 - b**4/24 + b**3/3 - 2. Let u(j) be the third derivative of a(j). Find f, given that u(f) = 0.
-1, 1
Factor 0*r + 2/5*r**2 - 2/5.
2*(r - 1)*(r + 1)/5
Let z(r) be the second derivative of r**8/480 + 4*r**7/525 + 11*r**6/1200 + r**5/300 + 2*r**2 + 8*r. Let u(w) be the first derivative of z(w). Factor u(y).
y**2*(y + 1)**2*(7*y + 2)/10
Suppose 3*w + 3 = -0*w. Let a be w/(-3 - 10/(-4)). Determine f so that 2/7*f**a + 2/7*f + 0 - 2/7*f**4 - 2/7*f**3 = 0.
-1, 0, 1
Let a be (-1)/4 + 12/48. Let c(r) be the second derivative of 1/12*r**4 + a + 1/60*r**6 - 3/40*r**5 + 0*r**3 + 0*r**2 - 3*r. Let c(d) = 0. Calculate d.
0, 1, 2
Let u = 26 + -20. Let l be -4 + (130/u)/5. Let l*o**3 + o**2 + 1/3 + o = 0. What is o?
-1
Let z(b) be the third derivative of b**5/240 + 17*b**4/96 + 2*b**3/3 + 28*b**2. Suppose z(p) = 0. What is p?
-16, -1
Let b be (-1 - 5) + (-320)/(-48). Factor -2*k**4 - 2/3*k**2 + 0*k + b*k**5 + 2*k**3 + 0.
2*k**2*(k - 1)**3/3
Let k = -879 - -9677/11. Determine d so that -k*d + 2/11*d**2 + 8/11 = 0.
2
Let c(y) be the second derivative of 11*y**4/16 + 9*y**3/8 - 3*y**2/4 + 10*y. Factor c(w).
3*(w + 1)*(11*w - 2)/4
Let h(g) = g**3 + g. Let k be h(1). Let n be (-2)/k - (4 - 6). Find y such that -7/2*y - 3/2*y**3 + 4*y**2 + n = 0.
2/3, 1
Let h be 8/(-5)*(-270)/108. Factor 8/3*x**3 + 2/3*x + 7/3*x**2 + 0 + x**h.
x*(x + 1)**2*(3*x + 2)/3
Let r be -2*-1*1/12. Let c(q) be the third derivative of 2*q**2 + 1/16*q**4 + 1/120*q**5 + r*q**3 + 0*q + 0. Determine h so that c(h) = 0.
-2, -1
Let 2/7*m**4 + 4/7*m**3 + 0 + 0*m + 2/7*m**2 = 0. Calculate m.
-1, 0
Let z(x) be the second derivative of -x**10/15120 + x**9/3780 - x**8/3360 + x**4/4 - 2*x. Let w(l) be the third derivative of z(l). Factor w(i).
-2*i**3*(i - 1)**2
Find x, given that 25*x**2 - 662*x**3 - 2*x**4 + 17*x**4 + 697*x**3 + 5*x = 0.
-1, -1/3, 0
Let i(c) be the third derivative of -1/12*c**4 + 1/15*c**5 + 0 - 1/168*c**8 + 1/30*c**6 + 0*c - 3*c**2 - 1/3*c**3 - 1/105*c**7. Suppose i(h) = 0. What is h?
-1, 1
Let i(q) be the third derivative of q**5/120 - q**4/48 - q**3/6 + 6*q**2. Suppose i(v) = 0. What is v?
-1, 2
Let y(t) be the second derivative of t**5/5 + 2*t**4/3 - 2*t**3/3 - 4*t**2 - 5*t. Suppose y(o) = 0. Calculate o.
-2, -1, 1
Solve 2*z - 7 - 6 + 7 + z + 3*z**2 = 0.
-2, 1
Find l, given that -1 + 1/2*l**2 + 1/2*l = 0.
-2, 1
Let j be (8/(-96))/(1/(-3)). Factor 0*m**3 - j - 1/4*m**4 + 0*m + 1/2*m**2.
-(m - 1)**2*(m + 1)**2/4
Let a(h) be the second derivative of 0*h**2 - 5*h + 0 - 1/25*h**5 - 1/30*h**4 - 1/75*h**6 + 0*h**3. Find l, given that a(l) = 0.
-1, 0
Let n(k) be the second derivative of -k**4/36 - k**3/9 - k**2/6 - 25*k. Factor n(m).
-(m + 1)**2/3
Suppose 6*i - 3*i + 45 = 3*s, s - 5*i = 11. Suppose -r = -4*k - 5 - s, 0 = -4*r - 5*k. Determine w, given that 0*w**4 + 4*w**3 - w**4 + 0*w**3 - r*w**3 = 0.
-1, 0
Let m(d) be the first derivative of d**3/12 + d**2/8 - 4. Factor m(x).
x*(x + 1)/4
Let l = 1059/4 + -261. Let m = l + -1/4. Factor -1/2 - 2*t**3 - t + m*t**2.
-(t - 1)**2*(4*t + 1)/2
Let t(h) be the first derivative of h**5 - 5/2*h**4 - 1/6*h**6 + 10/3*h**3 + h - 1 - 5/2*h**2. Factor t(v).
-(v - 1)**5
Let d = 493 + -115. Let b = d + -1882/5. Solve 4/5*h - 2*h**2 + 0 - 2/5*h**4 + b*h**3 = 0.
0, 1, 2
Let v be ((-4)/(-6))/((-1)/18). Let o be 2/(-3)*12/v. Let 0 + 0*f - 2/3*f**3 - o*f**2 = 0. Calculate f.
-1, 0
Let t = 197 + -193. Let s(q) be the first derivative of 0*q + 6/5*q**5 - 1/4*q**6 - 3/4*q**2 + 3 - 9/4*q**t + 2*q**3. Find h such that s(h) = 0.
0, 1
Factor 4/9 + 8/9*w**2 + 2/9*w**3 + 10/9*w.
2*(w + 1)**2*(w + 2)/9
Let m = -14 - -24. Suppose -15*h**3 + m*h + 2*h**2 + 7*h**2 - 4*h = 0. What is h?
-2/5, 0, 1
Suppose -j = -4, -7 = -2*m + 5*m - 4*j. Factor -g**3 + 4*g**2 - 2*g**2 + m*g**3 - 2*g**4 - 2*g**5 + 0*g**2.
-2*g**2*(g - 1)*(g + 1)**2
Let a(u) = u**3 - 13*u**2 + 43*u - 7. Let v be a(7). Factor -2/9*c**5 + 0*c**2 + 4/9*c**3 - 2/9*c + v + 0*c**4.
-2*c*(c - 1)**2*(c + 1)**2/9
Factor 4 - 3 + 3 + x**3 - 3*x**2.
(x - 2)**2*(x + 1)
Let k be 3/45*(-2*3)/(-1). Factor 0 - k*i + 2/5*i**2.
2*i*(i - 1)/5
Let x(a) be the second derivative of a**5/10 - a**4/2 + 2*a**3/3 - 12*a. Factor x(k).
2*k*(k - 2)*(k - 1)
Suppose -3*u - 320 = -2*z + u, -u - 3 = 0. Suppose 36*k - 116*k - 131*k**5 + 11 - 3 - z*k**4 - 111*k**5 + 146*k**2 + 322*k**3 = 0. What is k?
-1, 2/11, 1
Suppose -4*a**4 - 8*a**2 + 2*a**3 - 7*a**3 - 6*a**3 - a**3 = 0. Calculate a.
-2, -1, 0
Let h(a) be the second derivative of a**8/36960 + a**7/3465 + a**6/792 + a**5/330 + 5*a**4/12 - 3*a. Let g(q) be the third derivative of h(q). Factor g(r).
2*(r + 1)**2*(r + 2)/11
Let l be (-1)/(-2)*(5 + 1). Suppose 2*t**3 + t**l + t + 3 - 3*t**2 - 4*t + 0*t = 0. What is t?
-1, 1
Let z(y) be the third derivative of -y**7/245 - y**6/105 + y**5/210 + y**4/42 - y**2. Factor z(p).
-2*p*(p + 1)**2*(3*p - 2)/7
Let d(u) = 4 + 39*u**3 + 10*u**2 - 15*u**3 + 4*u - 28. Let q(a) = 5*a**3 + 2*a**2 + a - 5. Let s(w) = 3*d(w) - 14*q(w). Determine m, given that s(m) = 0.
-1, 1
Suppose i - 9 = 2*i. Let d = -9 - i. Solve -2/11*o**2 + 8/11*o**3 + d*o + 0 = 0.
0, 1/4
Suppose -6 = -l + t - 0*t, 3*t + 22 = 4*l. Suppose -4*s - l*i + 8 = 0, 2*i - 6 = -3*s + 7*i. Factor -3/5*f**3 + 1/5 + 3/5*f - 1/5*f**s.
-(f - 1)*(f + 1)*(3*f + 1)/5
Suppose -5*p = 4*x - 27, 0 = -4*x + 2*x - 4*p + 18. Let b(j) = j**2 - 2*j. Let a be b(x). Find u such that 5*u**4 - 5*u**4 + 1 - 8*u**a - 3*u**4 - 6*u**2 = 0.
-1, 1/3
Suppose 5*m - 5*m**5 - 10*m**4 - 89*m**3 + 89*m**3 + 10*m**2 = 0. What is m?
-1, 0, 1
Factor 144*a**2 - 5 + 0 - 4 - 6*a - 145*a**2.
-(a + 3)**2
Let b(h) be the third derivative of -1/60*h