-1, 0, 1/3
Let s be (-20)/10 - -4 - 14/9. Factor 2/9*n + 0 - s*n**2 + 2/9*n**3.
2*n*(n - 1)**2/9
Suppose -12/5 + 1/5*q**2 + 4/5*q = 0. Calculate q.
-6, 2
Let m(k) be the second derivative of -k**5/20 + k**4/12 + 2*k. Factor m(u).
-u**2*(u - 1)
Let a(x) be the third derivative of x**7/315 + x**6/180 - x**5/30 - x**4/36 + 2*x**3/9 - 11*x**2. Factor a(h).
2*(h - 1)**2*(h + 1)*(h + 2)/3
Let p be 51/63 + (2 - 0)/6. Factor 16/7 - p*a + 1/7*a**2.
(a - 4)**2/7
Determine x so that 12/5*x - 4/5 + 4/5*x**2 + 48/5*x**4 - 44/5*x**3 - 16/5*x**5 = 0.
-1/2, 1/2, 1
Let k(x) be the third derivative of 0*x + 0*x**4 - 2*x**2 + 1/60*x**6 + 1/60*x**5 + 0 + 0*x**3 + 1/210*x**7. Suppose k(w) = 0. Calculate w.
-1, 0
Let t(v) be the second derivative of 0 - v - 1/20*v**5 + 0*v**2 + 1/6*v**3 + 0*v**4. Factor t(r).
-r*(r - 1)*(r + 1)
Solve -14/11*r**4 + 32/11*r**3 - 2*r**2 + 0 + 4/11*r = 0 for r.
0, 2/7, 1
Suppose 2*c - 5*c - 3 = 0. Let r be (2*1/c)/(-1). Find d such that -4*d**3 + 12 - r*d - 12 + d**4 + 5*d**2 = 0.
0, 1, 2
Let a(s) be the second derivative of -s**4/84 - 2*s**3/21 - 7*s. Suppose a(i) = 0. Calculate i.
-4, 0
Let z be 21/30*15/6. Suppose -1 - 1 = -p. Factor -1/2 - z*s - 5/4*s**p.
-(s + 1)*(5*s + 2)/4
Let a(q) = 2*q**2 + 3*q - 4. Let h be a(4). Find k, given that -4 + h*k**3 - 5 + 5 - 20*k**4 - 40*k**2 + 20*k + 4*k**5 = 0.
1
Find p, given that 6*p + 8*p**2 - 11*p + 28*p**3 + 5*p = 0.
-2/7, 0
Find o such that -18/5*o**2 - 22/5*o**4 - 4/5*o - 6*o**3 - 6/5*o**5 + 0 = 0.
-1, -2/3, 0
Let a(w) = 2*w**2 + 3*w + 1. Let t = -11 + 15. Let g(d) = t*d**2 + 2 - 1 - 3*d**2. Let i(n) = 2*a(n) - 6*g(n). Suppose i(s) = 0. What is s?
1, 2
Let d(u) be the second derivative of -u**7/42 + u**6/15 - u**5/20 + 3*u. Factor d(x).
-x**3*(x - 1)**2
Let y(a) be the second derivative of -3*a + 1/84*a**7 + 0*a**5 - 1/12*a**3 + 0*a**2 + 0 + 1/30*a**6 - 1/12*a**4. Factor y(v).
v*(v - 1)*(v + 1)**3/2
Factor 0*q**2 + 0*q + 4/9*q**4 + 0 - 2/9*q**5 - 2/9*q**3.
-2*q**3*(q - 1)**2/9
Suppose 2*w + 5*g = 33, 5*g + 3 = 2*w + 4*g. Suppose 3*n + 2*d = -2, -w*n + 3*d = -19 - 1. Suppose 2*x**2 + 2/3 + 2/3*x**3 + n*x = 0. What is x?
-1
Let x(j) be the third derivative of j**5/80 - 3*j**4/32 + j**3/4 - 2*j**2. Factor x(u).
3*(u - 2)*(u - 1)/4
Let w(t) be the first derivative of -t**3/4 + 9*t**2/8 - 3*t/2 - 8. Find k such that w(k) = 0.
1, 2
Let h be (6 + 124/(-18))/(-1). Find f, given that h*f**2 + 2/9*f**3 + 10/9*f + 4/9 = 0.
-2, -1
Let n(z) be the second derivative of -z**6/6 - z**5/2 + z + 39. Solve n(y) = 0.
-2, 0
Suppose -2*z = -6, k = 2*z + 4 - 10. Let i(d) be the first derivative of 0*d + 3 + 0*d**4 - 1/3*d**3 + k*d**2 + 1/5*d**5. Determine w, given that i(w) = 0.
-1, 0, 1
Let z = 11/24 - 1/8. Let k(c) be the first derivative of z*c**3 - 2 + c**2 + c. Factor k(i).
(i + 1)**2
What is y in 1/5*y**2 - 38/5*y + 361/5 = 0?
19
Let y(u) be the third derivative of 0 - 1/504*u**8 + 2/315*u**7 + 0*u**3 + 1/60*u**6 - 1/9*u**4 - 2/45*u**5 + 2*u**2 + 0*u. Factor y(c).
-2*c*(c - 2)**2*(c + 1)**2/3
Let a(l) be the third derivative of -l**11/221760 - l**10/33600 - l**9/20160 - l**5/60 - l**2. Let k(h) be the third derivative of a(h). Factor k(j).
-3*j**3*(j + 1)*(j + 2)/2
Let y(d) be the third derivative of 1/42*d**5 - 1/42*d**4 + 5*d**2 + 0*d**3 + 0*d - 1/140*d**6 + 0. What is l in y(l) = 0?
0, 2/3, 1
Factor 14/11*i**2 - 18/11*i**3 + 4/11*i + 0.
-2*i*(i - 1)*(9*i + 2)/11
Let d(g) be the second derivative of 7*g**4/12 - 7*g**2/2 - 2*g. Let m(v) = 4*v**2 - 4. Let z(l) = 3*d(l) - 5*m(l). Factor z(h).
(h - 1)*(h + 1)
Let d be 7/(-7)*6/(-2). Let z be (-1)/d*(3 - 18). What is m in 7*m**4 - 2*m**3 + 2*m - 7*m**4 + m**z - m = 0?
-1, 0, 1
Let y(x) be the first derivative of 8*x - 3*x**4 + 10*x**2 - 6 - 16/3*x**3. Factor y(o).
-4*(o - 1)*(o + 2)*(3*o + 1)
Suppose 6*f = 10 + 92. Let -16*j**3 - 5 - 1 - f*j - 40*j**2 + 4 = 0. Calculate j.
-2, -1/4
Let d(a) be the first derivative of a**5/5 + a**4 + 2*a**3 + 2*a**2 + a + 1. Solve d(l) = 0.
-1
Let b(t) = -t**3 + 6*t**2 - 5*t + 6. Let i be b(5). Find s, given that 4*s - 1 + i + s**2 - 1 = 0.
-2
Factor -3*x**4 - 4*x**5 - x**4 + 20*x**3 - 243*x**2 + 247*x**2 - 32*x + 16.
-4*(x - 1)**3*(x + 2)**2
Let l(y) = y**2 + y + 1. Let i(w) = 22*w**2 + 2*w - 6. Let h(z) = -i(z) - 6*l(z). Suppose h(s) = 0. What is s?
-2/7, 0
Suppose 5*b - 48 = -18. Suppose 0 = b*f - 2*f - 16. Factor -f + 3*i + 0*i - 5*i + 2*i**2.
2*(i - 2)*(i + 1)
Let l be (3 + 12/(-3))*-5. Determine c so that -l*c + 5*c + 3*c**2 - 2*c = 0.
0, 2/3
Factor 0*n**2 + 4/5*n**3 + 0*n**4 - 2/5*n**5 - 2/5*n + 0.
-2*n*(n - 1)**2*(n + 1)**2/5
Suppose 0 = 5*f + y - 13, -6*f - 4*y = -7*f - 10. Factor 18*d**4 - 12*d**4 - d**3 + d**3 - 2*d**5 - 8*d**f.
-2*d**2*(d - 2)**2*(d + 1)
Let o = 2 + -2. Let a = 667/4 + -165. Factor 9/4*d**2 - 1/2*d - a*d**3 + o.
-d*(d - 1)*(7*d - 2)/4
Factor 0*t**2 + 2/9*t**5 + 0 + 0*t - 4/9*t**3 + 2/9*t**4.
2*t**3*(t - 1)*(t + 2)/9
Factor -10 - b + 5*b**3 - 65*b**2 - 4*b + 75*b**2.
5*(b - 1)*(b + 1)*(b + 2)
Let a(d) = 2*d**2 - 3*d - 1. Let t(q) = -q**2 + q - 1. Let z(p) = -a(p) + 2*t(p). Let z(n) = 0. Calculate n.
1/4, 1
Suppose 0 = 18*g - 8*g. Factor g - 2/7*r**2 - 2/7*r.
-2*r*(r + 1)/7
Let v(k) = 3. Let g(n) = n**2 - 6. Let z(j) = 3*g(j) + 5*v(j). Factor z(s).
3*(s - 1)*(s + 1)
Let s = 104 + -1351/13. Let b(h) be the second derivative of 0*h**3 + 0 - 1/39*h**4 + 0*h**5 + 3*h + 1/195*h**6 + s*h**2. Determine y, given that b(y) = 0.
-1, 1
Suppose 3*u - 4*m = 7*u - 8, -2*m - 14 = -4*u. Let p = u + 0. Factor -1/5*g**4 - 3/5*g**2 - 3/5*g**p - 1/5*g + 0.
-g*(g + 1)**3/5
Suppose -5*b + 3*d + 3 = 0, b - 26 = -b - 5*d. Let 3*w**2 + 2*w**3 + w**b + 0 + 0 = 0. What is w?
-1, 0
Let l(v) be the first derivative of v**3/5 - 3*v**2/5 - 9*v/5 - 8. Let l(y) = 0. Calculate y.
-1, 3
Let n(t) = 2*t**2 - 3*t + 1. Let f be n(2). Let s = f + -2. Factor 3*c**2 - 4*c + 3 - 5*c**2 - s + 4*c**2.
2*(c - 1)**2
Solve y**2 + 0 + 1/2*y + 1/2*y**3 = 0 for y.
-1, 0
Let z be (54/45)/(6/20). Factor 6*u**3 + 0*u**4 - 2*u**3 + 12*u**2 - 12 + 4 - 4*u**4 - z*u.
-4*(u - 2)*(u - 1)*(u + 1)**2
Suppose 0 = -0*q + 3*q + 4*q. Solve 6/5*s**2 + 2/5*s + q = 0.
-1/3, 0
Let y(a) be the third derivative of a**7/21 + a**6/60 - 5*a**2. Solve y(h) = 0.
-1/5, 0
Let c(r) be the second derivative of -r**4/24 + r**3/6 + 7*r. Factor c(j).
-j*(j - 2)/2
Let j = 481/14724 + -2/409. Let l(i) be the second derivative of -j*i**4 + 0 + i + 0*i**2 + 0*i**3. Factor l(y).
-y**2/3
Let g(n) be the first derivative of -n**7/168 + n**6/120 + 4*n + 1. Let j(h) be the first derivative of g(h). Factor j(y).
-y**4*(y - 1)/4
Let m(g) be the first derivative of -4/3*g**2 + 4/3*g + 1 + 1/9*g**3 - 1/18*g**6 + 5/12*g**4 - 1/15*g**5. Factor m(q).
-(q - 1)**3*(q + 2)**2/3
Let g(k) be the first derivative of 1/20*k**5 + 1/240*k**6 + 1/2*k**2 + 0*k - 2 + 2/3*k**3 + 1/4*k**4. Let y(t) be the second derivative of g(t). Factor y(r).
(r + 2)**3/2
Let f(t) = -29*t - 58. Let q be f(-2). Factor q + 0*v + 7/2*v**3 + 5/2*v**4 + 3/2*v**2 + 1/2*v**5.
v**2*(v + 1)**2*(v + 3)/2
Let f(o) = -o**2 - o + 1. Let m be f(-2). Let y(a) = a - 1. Let w(l) = 2 - 2*l + 1 - l**2 - 1. Let b(r) = m*w(r) - 2*y(r). What is z in b(z) = 0?
0
Suppose -4 = -2*i + 2. Let p(q) be the third derivative of -1/315*q**7 + 1/90*q**5 + 0*q**i + 0*q + 0*q**6 + 0*q**4 + 0 - q**2. Solve p(h) = 0.
-1, 0, 1
Let i(z) be the second derivative of -3/8*z**2 + 1/40*z**6 + 0*z**4 + 0 + 2*z + 1/4*z**3 - 3/40*z**5. Factor i(s).
3*(s - 1)**3*(s + 1)/4
Let x = 199/7854 + -2/1309. Let d(j) be the second derivative of 1/7*j**2 + j + x*j**4 + 0 - 2/21*j**3. Find g, given that d(g) = 0.
1
Let x(m) be the first derivative of -m**3/3 + 6*m**2 + 6*m - 5. Let w(o) = 3*o + 2 - o + 2*o. Let b(q) = -7*w(q) + 2*x(q). Determine u so that b(u) = 0.
-1
Suppose -3*w + 11 = -13. Solve -18*u**3 + 2 + 20*u**2 + 4*u**4 - 18*u + 2 + w*u**2 = 0 for u.
1/2, 1, 2
Let o(h) be the first derivative of 5*h**3/3 - 55*h**2 + 605*h + 25. Let o(c) = 0. Calculate c.
11
Let d(c) be the second derivative of c**4/3 + 2*c**3 + 4*c**2 + 11*c. Factor d(t).
4*(t + 1)*(t + 2)
Let r(q) be the second derivative of q**7/49 + 2*q**6/105 - 3*q**5/70 - q**4/21 - 10*q - 1. Solve r(w) = 0 for w.
-1, -2/3, 0, 1
Let r(d) be the second derivative of d**5/30 + d**4/3 + 4*d**3/3 + 3*d**2/2 - d. Let a(