*w**3/15 + 5. Factor d(k).
2*k**2*(k - 4)**2/5
Suppose -4*z - 33 = -41. Find p, given that -1/3*p**z + 1/3*p + 2/3 = 0.
-1, 2
Find k such that -2/5*k**5 + 0*k**2 - 2/5*k**4 + 0*k**3 + 0 + 0*k = 0.
-1, 0
Solve 27*j**5 - 38*j**4 + 21*j**3 - 2 - 7*j**4 + 2 - 3*j**2 = 0.
0, 1/3, 1
Factor 68/7*d**2 + 6/7 - 32/7*d - 8/7*d**5 + 38/7*d**4 - 72/7*d**3.
-2*(d - 1)**4*(4*d - 3)/7
Let h(s) = s**2 + 5*s - 21. Let y be h(-8). Suppose 0*w + 2/7*w**y + 6/7*w**2 - 8/7 = 0. Calculate w.
-2, 1
Let a = 8 - 4. Let u = -4 + a. Suppose -4*l**3 + l + l**5 + 2*l**3 + u*l**3 = 0. What is l?
-1, 0, 1
Factor 1/5*c**3 + 0 + 1/5*c**2 + 0*c.
c**2*(c + 1)/5
Let n be (0 - 0)/((-3)/1 + 5). Let y(b) be the second derivative of n*b**5 - 1/120*b**6 + 1/24*b**4 + 0*b**3 - 1/8*b**2 - 3*b + 0. Factor y(o).
-(o - 1)**2*(o + 1)**2/4
Let h(c) be the first derivative of c**5/20 + c**4/4 + c**3/2 + c**2/2 + c/4 + 4. Factor h(f).
(f + 1)**4/4
Let f(i) = 4*i**4 - 10*i**3 - 14. Let c(n) = -2 - 2*n**3 - 1 + n**4 + 0*n**3. Let k(s) = -14*c(s) + 3*f(s). Factor k(m).
-2*m**3*(m + 1)
Suppose -2*g - 10 = 3*g. Let k(h) = -h. Let b(a) = -a**2 + 8*a - 4. Let o(j) = g*b(j) - 6*k(j). Let o(t) = 0. Calculate t.
1, 4
Let k = -2 - -7. Let -2*j**k + 2*j**4 + 3*j**5 + j**5 = 0. Calculate j.
-1, 0
Let f be 63/(-114) + (4 - 3). Let w = f + 1/19. Factor 1/4*u**2 + 15/4*u**3 + 0 + 7/4*u**5 - w*u + 19/4*u**4.
u*(u + 1)**3*(7*u - 2)/4
Let d(i) be the first derivative of i**5/20 - 3*i**4/32 - i**3/8 - 11*i**2/2 - 8. Let b(p) be the second derivative of d(p). Factor b(n).
3*(n - 1)*(4*n + 1)/4
Let l(n) be the third derivative of 0*n**3 - 1/6*n**4 + 3*n**2 + 0*n + 1/30*n**5 + 0. Determine f so that l(f) = 0.
0, 2
Let y(s) be the third derivative of -s**5/40 + s**4/4 - s**3 + 10*s**2. Find v, given that y(v) = 0.
2
Let d(y) be the first derivative of y**5/5 - y**3/3 - 3. Factor d(n).
n**2*(n - 1)*(n + 1)
Let f(j) be the second derivative of j**7/35 + j**6/12 - j**5/30 - 5*j**4/12 - 2*j**3/3 - 2*j**2 - j. Let k(q) be the first derivative of f(q). Factor k(h).
2*(h - 1)*(h + 1)**2*(3*h + 2)
What is r in 18*r - 3*r**4 - 18*r + 3*r**2 = 0?
-1, 0, 1
Let g(v) = -3*v - 15. Let h be g(-6). Suppose h*x = x + 6. Factor s**x + 1/3*s**5 + 0*s + s**4 + 0 + 1/3*s**2.
s**2*(s + 1)**3/3
Factor 14 + 31*i**2 + 20*i + 4 - 29*i**2.
2*(i + 1)*(i + 9)
Let p(v) be the second derivative of 0 + 5*v - 9/2*v**2 - 1/12*v**4 - v**3. Factor p(d).
-(d + 3)**2
Factor -8/5 + 8/5*x - 2/5*x**2.
-2*(x - 2)**2/5
Let m be -3 + (-54)/(-8)*6. Let a = m - 509/14. Factor 0 - 2/7*d - 6/7*d**3 - a*d**2.
-2*d*(d + 1)*(3*d + 1)/7
Suppose 0 = -3*y + 9*y - 30. Suppose -2*n + 9 = t, -5*t = -2*n - 26 + y. Let -12/5*l**3 - 18/5*l**n - 3/5*l**4 - 3/5 - 12/5*l = 0. Calculate l.
-1
Let o(x) be the second derivative of -2*x**7/357 - 7*x**6/255 - 9*x**5/170 - 5*x**4/102 - x**3/51 - 7*x. Factor o(u).
-2*u*(u + 1)**3*(2*u + 1)/17
Let k(l) be the third derivative of 0 + l**2 - 1/48*l**4 + 0*l**3 + 0*l - 1/120*l**5. Factor k(b).
-b*(b + 1)/2
Let q(p) be the first derivative of -p**4 + 4*p**3 - 6*p**2 + 4*p + 15. What is f in q(f) = 0?
1
Let u = -733/120 + 49/8. Let w(b) be the second derivative of 0*b**2 + 1/36*b**4 - b + 0 - u*b**5 + 1/18*b**3 - 1/90*b**6. Factor w(q).
-q*(q - 1)*(q + 1)**2/3
Let o = 11 + -8. Factor 5*z**2 + 2*z**3 - 5*z**2 + o*z - z + 4*z**2.
2*z*(z + 1)**2
Suppose 4*i - 5*u - 35 = 0, -4*u + u = -3*i + 24. Factor 7*y**5 + 20*y**2 - 23*y**i - 4 - y**4 - 4*y**3 - 31*y**4 + 4*y.
-4*(y + 1)**3*(2*y - 1)**2
Let s = 43/30 - 14/15. Factor -s*y**2 + 1/3*y + 1/6*y**3 + 0.
y*(y - 2)*(y - 1)/6
Let l(m) = -19*m**2 - m - 13. Let f(x) = 3*x**2 + 2. Let g(q) = -39*f(q) - 6*l(q). Factor g(b).
-3*b*(b - 2)
Let j(p) = 2*p**2 - 6*p - 3. Let q(x) = x**2 - 5*x - 2. Let n(v) = -2*j(v) + 3*q(v). Factor n(s).
-s*(s + 3)
Let g(n) = n**5 + n**3 - n**2 - 1. Let z(y) = 2*y**5 - y**3 - y**2 + y - 1. Let a(q) = -g(q) + z(q). Factor a(o).
o*(o - 1)**2*(o + 1)**2
Suppose a - s = -15, 3*a - 4*a - 27 = -4*s. Let c = -21/2 - a. Determine o, given that -o**2 + 1/2*o**5 + 0 + o**4 - c*o + 0*o**3 = 0.
-1, 0, 1
Let q = 10 - 7. Factor b**3 + 4*b**q - 6*b**3 + b.
-b*(b - 1)*(b + 1)
Let a be -8 + (-140)/(-15) - (-14)/(-24). Solve -a*t**2 - 3/2*t + 9/4 = 0.
-3, 1
Suppose -2*q = -0*q. Let j(b) be the second derivative of 0*b**2 + 2/15*b**6 - 1/3*b**4 + 3*b + q*b**5 + 0 - 1/3*b**3 + 1/21*b**7. Determine s so that j(s) = 0.
-1, 0, 1
Factor 0 - 1/2*n**2 + 1/2*n.
-n*(n - 1)/2
Factor 4*z**3 + 4 + 4 - 8*z**2 - 4*z + 0.
4*(z - 2)*(z - 1)*(z + 1)
Let n(d) be the third derivative of d**10/18144 - d**9/3780 + d**8/2240 - d**7/3780 - d**4/12 - d**2. Let r(g) be the second derivative of n(g). Factor r(s).
s**2*(s - 1)**2*(5*s - 2)/3
Let r(s) be the second derivative of -s**6/90 + s**5/15 - s**4/12 + 12*s - 1. Factor r(l).
-l**2*(l - 3)*(l - 1)/3
Solve 0 + 1/4*y**5 + 5/2*y**4 + 27/2*y**2 + 9*y**3 + 27/4*y = 0 for y.
-3, -1, 0
Let v(n) be the second derivative of -1/2*n**2 + 0 + n + 1/15*n**5 - 1/12*n**4 - 1/60*n**6 + 0*n**3. Let w(f) be the first derivative of v(f). Factor w(a).
-2*a*(a - 1)**2
Let s(q) be the first derivative of -q**3/15 + q**2/5 + 3*q/5 - 54. Let s(z) = 0. Calculate z.
-1, 3
Let i(r) be the third derivative of -r**5/140 - r**4/14 - 3*r**3/14 - 9*r**2. What is g in i(g) = 0?
-3, -1
Suppose -v = 3*v - 4. Factor -v + p**3 - 3*p - p - 3*p**3 - 5*p**2 + 0*p.
-(p + 1)**2*(2*p + 1)
Suppose 0 = 4*j + 3*k - 66, 0*j - 5*j + 83 = 4*k. Let n be ((-5)/j)/(-1*1). Factor 0 - n*g + 1/2*g**2.
g*(3*g - 2)/6
Let b be 33/28 + ((-624)/64)/13. Suppose 0*k**2 + 0 + 6/7*k**4 + b*k**5 + 0*k + 3/7*k**3 = 0. What is k?
-1, 0
Let -4/3*r**2 - 8/3*r + 0 = 0. What is r?
-2, 0
Let f(b) = 3*b + 5. Let d be f(-4). Let y(x) = -x**3 + 11*x**2 + 5. Let i(u) = -2*u**3 + 16*u**2 + 7. Let o(g) = d*y(g) + 5*i(g). Find j, given that o(j) = 0.
0, 1
Let m = -6 - 1. Let b(t) = -t**2 - 8*t - 5. Let i be b(m). Solve -5*h**2 + 2*h**i + h**2 = 0 for h.
0
Let d be -2 - (0 - (1 + 1)). Suppose -3*r + r = d. Suppose r*t**3 + 2/5*t**4 + 2/5 + 0*t - 4/5*t**2 = 0. Calculate t.
-1, 1
Let u(g) be the third derivative of 0*g + 1/15*g**5 - 1/60*g**6 + 2*g**2 - 1/12*g**4 + 0*g**3 + 0. Solve u(n) = 0.
0, 1
Factor -30 + 20 + 25*g + g**3 + 3*g**3 + g**3 - 20*g**2.
5*(g - 2)*(g - 1)**2
Find g such that 8/3*g**3 + 0*g**2 + 4/3*g**4 - 4/3 - 8/3*g = 0.
-1, 1
Let n(z) be the second derivative of z**7/10080 - z**6/2880 - z**4/12 - 7*z. Let t(k) be the third derivative of n(k). Solve t(g) = 0.
0, 1
Let o(r) be the first derivative of -r**6/48 + 7*r**5/40 - 15*r**4/32 + 13*r**3/24 - r**2/4 - 36. Factor o(d).
-d*(d - 4)*(d - 1)**3/8
Suppose 0 = w - 3*w + 20. Let a be 0 - (-34)/w - 3. Factor a*y**2 + 0 + 2/5*y.
2*y*(y + 1)/5
Let u(t) be the second derivative of 5*t**7/14 - 8*t**6/3 + 6*t**5 - 5*t**4/2 - 55*t**3/6 + 15*t**2 + 14*t. Factor u(o).
5*(o - 3)*(o - 1)**3*(3*o + 2)
Suppose -3*r = -4*r + 70. Let m = r + -208/3. Determine x, given that m*x + 2/3*x**3 - 4/3*x**2 + 0 = 0.
0, 1
Let d(r) be the second derivative of 0 + 1/30*r**5 - 1/90*r**6 - 1/36*r**4 + 0*r**2 + 5*r + 0*r**3. Let d(o) = 0. Calculate o.
0, 1
Let q be 3 - 1/(3/21). Let z be (-1 - q)*5/3. Determine k so that -z*k + 8*k**3 + 3*k - 6*k**3 = 0.
-1, 0, 1
Suppose -45*x + 40*x**3 + 33*x**4 + 5*x**5 - 180*x**2 + 150*x**2 - 3*x**4 = 0. What is x?
-3, -1, 0, 1
Suppose 0 = -25*o + 21*o + 5*t + 20, 5*t + 10 = 2*o. Let 24/11*k**3 + 20/11*k**4 + 12/11*k**2 + 6/11*k**o + 0 + 2/11*k = 0. Calculate k.
-1, -1/3, 0
Factor -4/5*l + 2/5*l**2 + 2/5.
2*(l - 1)**2/5
Let n(s) be the first derivative of 2*s**5/15 + s**4/2 + 4*s**3/9 + 2. Determine t so that n(t) = 0.
-2, -1, 0
Let n(k) = -k**4 - 10*k**3 - 60*k**2 - 112*k - 61. Let p(s) = s**4 + 11*s**3 + 60*s**2 + 112*s + 62. Let g(q) = 2*n(q) + 3*p(q). Factor g(i).
(i + 1)*(i + 4)**3
Let f(n) be the first derivative of -4*n**3/15 - 12*n**2/5 - 32*n/5 - 47. Factor f(i).
-4*(i + 2)*(i + 4)/5
Let g(y) be the third derivative of -y**8/336 - 2*y**7/105 - y**6/30 + y**5/30 + 5*y**4/24 + y**3/3 - 3*y**2. Find i, given that g(i) = 0.
-2, -1, 1
Factor 2/3 - 4/3*j**3 + 2/3*j - 4/3*j**2 + 2/3*j**5 + 2/3*j**4.
2*(j - 1)**2*(j + 1)**3/3
Let b = 46 - 46. Suppose b*c**3 + 0*c + 2/5*c**4 - 2/5*c**2 + 0 = 0. What is c?
-1, 0, 1
Let b be (-3)/(-1) + (-32)/12. Let u(s) be the first der