*z**2 - 1/14*z**4 + 0*z. Factor s(m).
-2*m*(m - 1)**2/7
Find x such that -5*x**5 + 12*x**2 + x**3 - 2*x**5 - 25*x**3 + 15*x**4 + 4*x**5 = 0.
0, 1, 2
Let v be ((-9)/3 + 1)/(-1). Let c(w) be the third derivative of 0*w**6 - 2*w**v + 0*w - 1/90*w**5 + 0*w**4 + 1/18*w**3 + 1/630*w**7 + 0. Factor c(t).
(t - 1)**2*(t + 1)**2/3
Let f(j) be the first derivative of -j**4/6 + 2*j**3/9 + j**2/3 - 2*j/3 - 10. Suppose f(h) = 0. What is h?
-1, 1
Let d(v) be the third derivative of v**8/448 + v**7/280 - v**6/160 - v**5/80 + 8*v**2. Suppose d(w) = 0. Calculate w.
-1, 0, 1
Let n be 7 + (-7)/((-77)/(-55)). Factor -3/2*i**n - i + 1/2.
-(i + 1)*(3*i - 1)/2
Let d be 3/(-2*3)*-4. Let g(i) be the third derivative of -1/21*i**7 + 0*i**3 + 0 + 1/15*i**5 + 2*i**d - 1/20*i**6 + 0*i + 0*i**4. Factor g(f).
-2*f**2*(f + 1)*(5*f - 2)
Suppose 0 + 4*o**2 - o**4 + 1/2*o**5 + 0*o - 2*o**3 = 0. What is o?
-2, 0, 2
Find n, given that -33 - 2*n**2 - 14*n**3 + 33 - 10*n**5 - 22*n**4 = 0.
-1, -1/5, 0
Let h = 84 - 79. Factor 14/3*d**h - 8/3*d**3 + 0 + 0*d**2 + 8*d**4 + 0*d.
2*d**3*(d + 2)*(7*d - 2)/3
Let x(m) be the third derivative of m**2 - 1/48*m**4 + 1/360*m**5 + 0*m + 0*m**3 + 0. Factor x(w).
w*(w - 3)/6
Let g be 62 - -1*(1 + 1). Suppose -g*u - 50*u**3 + 8 - 48*u**3 + 114*u**2 + 40*u**2 = 0. Calculate u.
2/7, 1
Let l(q) be the second derivative of 3*q**7/14 + q**6/2 - 33*q**5/20 - 9*q**4/4 + 8*q**3 - 6*q**2 + 34*q. Solve l(k) = 0.
-2, 1/3, 1
Let p(v) be the second derivative of -v**6/180 + v. Factor p(a).
-a**4/6
Let n(p) = p**2 - 6*p - 3. Let c be n(7). Factor 0 + 0*g + 8/5*g**2 - 8/5*g**3 + 2/5*g**c.
2*g**2*(g - 2)**2/5
Suppose 4*t - 40 = -n + 2*t, 2*n = 4*t + 48. Let l be 64/30 - n/240. Factor 0*q + 0 + 3/2*q**l + 3/4*q**3 - 3*q**4 - 9/4*q**5.
-3*q**2*(q + 1)**2*(3*q - 2)/4
Let m(d) be the third derivative of 1/2*d**3 + 0*d + 0 + 0*d**4 + 1/70*d**7 - d**2 + 0*d**6 - 1/10*d**5. Let m(k) = 0. Calculate k.
-1, 1
Let w(b) be the third derivative of b**8/3360 - b**7/630 + b**4/24 + 4*b**2. Let m(q) be the second derivative of w(q). Factor m(f).
2*f**2*(f - 2)
Let h(a) be the first derivative of 2/15*a**3 + 1/5*a**2 + 1/30*a**4 + 1 + 2*a. Let d(p) be the first derivative of h(p). Factor d(j).
2*(j + 1)**2/5
Let y(o) be the first derivative of 3*o**5/140 - o**3/14 + 6*o - 2. Let f(z) be the first derivative of y(z). Factor f(n).
3*n*(n - 1)*(n + 1)/7
Let f(m) be the first derivative of -m**6/6 + m**5/5 + m**4/2 - 34. Find p such that f(p) = 0.
-1, 0, 2
Suppose 8*i - 15 = 3*i. Determine f, given that 1/6*f**i + 0 + 1/6*f**2 + 0*f = 0.
-1, 0
Let l(i) be the second derivative of 0*i**2 - 1/80*i**5 - 1/48*i**4 + 1/120*i**6 - 6*i + 1/24*i**3 + 0. What is m in l(m) = 0?
-1, 0, 1
Let f(s) be the first derivative of s**6/480 + s**5/160 - s**4/16 + 2*s**3/3 + 5. Let q(r) be the third derivative of f(r). Factor q(h).
3*(h - 1)*(h + 2)/4
Let w(r) be the second derivative of -1/6*r**3 + 0 - r - 1/36*r**4 - 1/3*r**2. Factor w(i).
-(i + 1)*(i + 2)/3
Let r = 4 + -2. Let 3*h**2 + r*h**2 + 3*h + h**2 = 0. Calculate h.
-1/2, 0
Let g = 115 - 111. Solve -2/5*j**5 - 2/5*j**g + 2/5*j**2 + 6/5*j**3 + 0 - 4/5*j = 0 for j.
-2, -1, 0, 1
Let d be 33*1*(1 - 0). Suppose -4*x - j - 13 = -6*x, -2*x = -5*j - d. Factor -4*t - 4*t**2 - 4*t**3 - 2*t**x + 7*t**4 + 8*t**2 + 17*t**3.
t*(t + 1)*(t + 2)*(5*t - 2)
Let p(m) be the second derivative of m**4/78 + 4*m**3/39 - 13*m. Factor p(w).
2*w*(w + 4)/13
Suppose 0 - 3*u - 1 - 3*u**3 - 6*u**2 + 1 = 0. Calculate u.
-1, 0
Let f(b) = -b**2 - b + 2. Let y be f(0). Let a(s) be the first derivative of 3/2*s**2 - y*s - 1/3*s**3 - 1. Suppose a(z) = 0. What is z?
1, 2
Let u = -5 + 7. Suppose h**5 - 3*h**5 - u*h**4 + 4*h**5 = 0. Calculate h.
0, 1
Suppose 4*a + 4*y + 23 = 19, -2*a + 3 = -3*y. Find w, given that a + 1/3*w**4 + 0*w**3 - 1/3*w**2 + 0*w = 0.
-1, 0, 1
Let a = 1341/4 - 333. Determine p so that 0*p + p**2 + 0 + a*p**5 - 2*p**3 - 3/4*p**4 = 0.
-1, 0, 2/3
Let v(s) be the first derivative of -1/2*s**4 - 2*s**2 + 13/9*s**3 + 1/15*s**5 - 3 + 4/3*s. Suppose v(p) = 0. Calculate p.
1, 2
Let c(l) = -l**2 + 8*l + 12. Let j be c(9). Let h(x) be the first derivative of 1/4*x**2 + 1/4*x + 1/12*x**j - 1. Factor h(n).
(n + 1)**2/4
Let l = -14 - -16. Factor 6*h**l - 7*h - 4*h**2 + 2*h**3 + 7*h.
2*h**2*(h + 1)
Let z be (-14)/49 + 88/14. Determine k so that 4*k**4 + 8*k**3 + z*k - 6*k = 0.
-2, 0
Let c(h) be the third derivative of h**8/6720 + h**7/3360 + h**3/2 - h**2. Let m(z) be the first derivative of c(z). Find j such that m(j) = 0.
-1, 0
Factor -m + 0*m + 2 + 9*m**2 - 2*m - 6*m - 3*m**4 + m**3.
-(m - 1)**2*(m + 2)*(3*m - 1)
Let o = -34 + 61. Let s = -23 + o. Factor 1/5*t + 0 + 0*t**2 - 2/5*t**3 + 0*t**s + 1/5*t**5.
t*(t - 1)**2*(t + 1)**2/5
Let p(s) be the first derivative of 2/3*s**3 - 2/5*s**5 + 1/2*s**4 - 1 + 0*s - s**2. Factor p(h).
-2*h*(h - 1)**2*(h + 1)
Let k(w) = 15*w**4 - 30*w**3 + 18*w**2 + 63*w - 9. Let j(n) = -7*n**4 + 15*n**3 - 9*n**2 - 31*n + 4. Let l(x) = 9*j(x) + 4*k(x). Factor l(f).
-3*f*(f - 3)**2*(f + 1)
Factor 5*r + r - 12*r**2 + 3*r**2 + 3*r**3.
3*r*(r - 2)*(r - 1)
Let b = 21 + -43. Let p = b - -34. Let -3*a + 4*a**4 - 2 - 2*a**2 + p*a - 9*a**3 + 0*a**2 = 0. Calculate a.
-1, 1/4, 1, 2
Suppose -15 + 5 = -5*o. Factor -u - 7*u**3 + u**2 + 8*u**3 + 0 - 3 + o.
(u - 1)*(u + 1)**2
Factor 1/2*s**2 + 162 + 18*s.
(s + 18)**2/2
Let z(y) be the second derivative of -y**7/3780 + y**6/540 - y**5/180 + y**4/108 - 5*y**3/6 - 6*y. Let x(o) be the second derivative of z(o). Factor x(n).
-2*(n - 1)**3/9
Let f(t) be the first derivative of -54*t - 6*t**3 + 27*t**2 - 3 + 1/2*t**4. Factor f(s).
2*(s - 3)**3
Factor -6*l**2 - 9*l**2 + 8*l**5 - 4*l**5 - l**2 + 12*l**4.
4*l**2*(l - 1)*(l + 2)**2
Factor 9/4 - 3/4*d**2 - 3/2*d.
-3*(d - 1)*(d + 3)/4
Let p = 87 + -84. Let n(s) be the first derivative of -2 + 0*s + 1/6*s**p + 1/4*s**2. Factor n(w).
w*(w + 1)/2
Let w = -12 - -18. Let i(t) be the third derivative of 0*t**3 - 3*t**2 + 0*t**4 + 0 - 1/30*t**5 + 1/60*t**w + 0*t. Solve i(n) = 0.
0, 1
Let q be 8 + (2 - 6/2). Let x be ((-4)/3)/(q + -13). Determine n so that -x*n**2 + 0 + 2/9*n - 2/9*n**3 + 2/9*n**4 = 0.
-1, 0, 1
Let f = 47 - 121. Let y = f - -232/3. Suppose -y*i + 4/3*i**3 + 2/3*i**2 + 4/3 = 0. What is i?
-2, 1/2, 1
Let j(a) be the first derivative of -5 - 1/3*a + 1/9*a**3 + 1/3*a**4 - 2/3*a**2. Factor j(h).
(h - 1)*(h + 1)*(4*h + 1)/3
Let g be ((-25)/(-10))/(200/32). Factor g*p**2 + 2/5*p + 0.
2*p*(p + 1)/5
Let m(f) be the first derivative of -f**6/10 + f + 4. Let a(y) be the first derivative of m(y). Find r such that a(r) = 0.
0
Let a(n) = 3*n**2 + 2*n + 1. Let w be a(-2). Solve 0*c**3 - 2*c + 8*c + 2*c**3 - w*c**2 + c**3 = 0.
0, 1, 2
Let b(z) be the third derivative of 0 + 1/3*z**3 + 11/24*z**4 + 13/60*z**5 + 1/30*z**6 + 5*z**2 + 0*z. Factor b(l).
(l + 1)*(l + 2)*(4*l + 1)
Let b = -26 - -26. Let f(p) be the second derivative of 0*p**4 + 0*p**6 + 0 + b*p**3 - 1/168*p**7 + 1/80*p**5 + 0*p**2 + p. Factor f(a).
-a**3*(a - 1)*(a + 1)/4
Solve -3/8*q**3 - 9/8*q**2 + 0 - 3/4*q = 0.
-2, -1, 0
Let m(l) be the second derivative of 0*l**2 - 1/24*l**4 + 1/40*l**5 - 1/12*l**3 + 2*l + 1/60*l**6 + 0. Solve m(x) = 0.
-1, 0, 1
Let j(r) be the second derivative of -r**5/90 + 5*r**4/27 - 32*r**3/27 + 32*r**2/9 - 18*r - 1. Factor j(k).
-2*(k - 4)**2*(k - 2)/9
Let i(r) = -3*r**3 + 26*r**2 - 19*r - 8. Let k(j) = j**3 - 9*j**2 + 6*j + 3. Let p(f) = 3*i(f) + 8*k(f). Factor p(n).
-n*(n - 3)**2
Solve 3*f**3 - 9*f + 0 - 5 - 1 = 0 for f.
-1, 2
Determine r, given that -12/13*r**2 + 12/13 + 2/13*r - 2/13*r**3 = 0.
-6, -1, 1
Let p be 4/6 - (-8)/(-48). Solve -1/2 - 1/2*v**3 + 1/2*v + p*v**2 = 0.
-1, 1
Let 0*u**3 - 2/9*u**4 + 4/9*u**2 + 0*u - 2/9 = 0. Calculate u.
-1, 1
Factor 8/3*v - 8/3 - 2/3*v**2.
-2*(v - 2)**2/3
Factor 1/4*i**4 + 1/2 - 5/4*i**3 - 7/4*i + 9/4*i**2.
(i - 2)*(i - 1)**3/4
Let q(t) = t**3 + 4*t**2 + 4*t - 4. Let z(k) = 5*k**3 + 25*k**2 + 25*k - 25. Let g(c) = 25*q(c) - 4*z(c). Suppose g(l) = 0. What is l?
0
Let s(l) be the first derivative of l**6/1440 + l**5/120 + l**4/24 - 2*l**3/3 + 3. Let t(o) be the third derivative of s(o). Solve t(h) = 0.
-2
Let k(u) be the second derivative of -u**4/3 - 16*u**3/3 + 18*u**2 + 30*u. Factor k(y).
-4*(y - 1)*(y + 9)
Let s(m) = m**4 + 6*m**3 - 3*m**2 + 4*m - 4. 