).
-y**2*(y - 4)*(y - 3)/6
Suppose -10*r = -3*a - 9*r + 7, 0 = -5*a + 4*r. Suppose -w + 4*w + 9 = a*h, 4*h = -3*w - 9. Solve h - 10/3*k**2 + 5/3*k = 0 for k.
0, 1/2
Let f(d) be the second derivative of 5*d**7/252 + 7*d**6/180 - d**5/40 - 7*d**4/72 - d**3/18 - 29*d. Solve f(z) = 0 for z.
-1, -2/5, 0, 1
Let k(h) = -h**3 - 12*h**2 - 12*h - 5. Let m be k(-11). Factor -6*y**2 + 21*y - y**3 - 21*y - m*y**4 + 12*y**3 + y**5.
y**2*(y - 3)*(y - 2)*(y - 1)
Solve 0*h**5 + 2516 + 128*h**2 + 24*h**3 - 2468 + 140*h - 16*h**4 - 4*h**5 = 0 for h.
-4, -1, 3
Let m be (7 - (-976)/(-144)) + 25/9. Factor 2/5*o**4 + 14/5*o**2 - 2*o**m - 6/5*o + 0.
2*o*(o - 3)*(o - 1)**2/5
Let n(f) be the first derivative of -f**3/3 - 2*f**2 - 4*f + 150. Determine i so that n(i) = 0.
-2
Let d(v) be the third derivative of 0 - 13*v**2 + 5/108*v**4 - 2/135*v**5 + 1/540*v**6 - 2/27*v**3 + 2*v. Let d(s) = 0. What is s?
1, 2
Let g = 18640/3 - 6213. Let 2*n - 5/3 - g*n**2 = 0. What is n?
1, 5
Let m(w) be the first derivative of -2*w**3/45 - 37*w**2/15 - 247. Factor m(o).
-2*o*(o + 37)/15
Let w(l) be the third derivative of 1/315*l**7 - 1/60*l**6 + 0*l**3 + 6*l**2 + 1/504*l**8 + 0*l + 0 - 1/18*l**4 - 1/18*l**5. Let w(x) = 0. What is x?
-1, 0, 2
Find a such that -16*a**4 + 64*a**3 - a**2 - 52*a - 19048*a**5 + 19036*a**5 - 7*a**2 + 24 = 0.
-3, -1, 2/3, 1
Let z = 36 - 5. Suppose -2*u + 4*u = -5*h + 135, 5*u = -h + 27. Factor 5*x + x**2 + z - x - h.
(x + 2)**2
Let d(y) be the second derivative of 5*y**9/19656 + y**8/3640 - y**7/2730 + 7*y**3/6 - 3*y. Let f(q) be the second derivative of d(q). Factor f(h).
2*h**3*(h + 1)*(5*h - 2)/13
Suppose -5*k = 4*s - 8, -553*s + 6 = -550*s + 4*k. Factor -1/2*q - 1/4 - 1/4*q**s.
-(q + 1)**2/4
Let w be 18/8*(-48)/(-9). Suppose 4*x = x + w. Suppose -3*b + b**2 - 2*b**4 - b**3 + b**x + 4*b = 0. What is b?
-1, 0, 1
Let f(x) be the second derivative of -x**4/12 + 9*x**2/2 - x - 1. Factor f(y).
-(y - 3)*(y + 3)
Let s(r) be the third derivative of -r**6/60 - 28*r**5/15 + 115*r**4/12 - 58*r**3/3 - r**2 + 9*r. Factor s(b).
-2*(b - 1)**2*(b + 58)
Let u(x) be the second derivative of x**3/3 - 2*x**2 - 6*x. Let d be u(2). Determine a, given that 2*a**5 + 0 - 1/2*a**2 + 7/2*a**4 + d*a + a**3 = 0.
-1, 0, 1/4
Let b(g) = -7*g**2 - 16*g - 3. Let c be b(-6). Let v = c - -1435/9. Solve -v*w + 2/9*w**2 + 2/9 = 0.
1
Solve -220/3*w**4 + 20*w**3 + 12*w**5 + 860/3*w**2 + 160*w - 64/3 = 0 for w.
-1, 1/9, 4
Let v(d) = 3*d**2 + 253*d - 168. Let p be v(-85). Factor 9/5*i + 0 - 12/5*i**p + 3/5*i**3.
3*i*(i - 3)*(i - 1)/5
Factor -8*f - 22/3 - 2/3*f**2.
-2*(f + 1)*(f + 11)/3
Let z(b) be the second derivative of -4*b + 0 + 4*b**2 - 2/3*b**4 + 1/10*b**5 - 1/3*b**3. Suppose z(g) = 0. Calculate g.
-1, 1, 4
Suppose 0*z**2 + 0*z**3 + 0 + 0*z + 2/3*z**4 - 2/3*z**5 = 0. Calculate z.
0, 1
Let a(c) be the third derivative of 8*c**7/315 - c**6/12 - c**5/40 + c**4/72 + 20*c**2 - 7*c. Suppose a(l) = 0. Calculate l.
-1/4, 0, 1/8, 2
Let s(q) be the first derivative of q**4/14 - 4*q**3/3 + 32*q**2/7 + 256*q/7 + 76. Factor s(u).
2*(u - 8)**2*(u + 2)/7
Find y, given that 0 + 2/7*y**2 - 6/7*y**4 + 4/7*y - 8/7*y**3 = 0.
-1, 0, 2/3
Let u(p) = -3*p**2 - 8*p + 23. Let q(t) = -t**2 + t + 3. Let w(j) = 4*q(j) - u(j). Factor w(o).
-(o - 11)*(o - 1)
Let g(d) = -d**5 + d**4 + 2*d**3 - d**2 - 1. Let v(s) = 5*s**5 - 2*s**4 - 7*s**3 + 4*s**2 + 4. Let k(l) = 4*g(l) + v(l). Factor k(p).
p**3*(p + 1)**2
Let u(x) be the second derivative of -x**5/25 - x**4/6 + 3*x**3/5 + 18*x**2/5 - 2*x - 6. Factor u(y).
-2*(y - 2)*(y + 3)*(2*y + 3)/5
Factor -208*w**4 - 8546*w**3 - 9032*w**3 - 2*w**5 - 204*w**2 + 17168*w**3.
-2*w**2*(w + 1)**2*(w + 102)
Factor -4/3*t**3 + 0 + 2/9*t**4 - 14/9*t**2 + 0*t.
2*t**2*(t - 7)*(t + 1)/9
Let y be -5 + 693/135 + 215/75. Let n(h) be the third derivative of 7*h**2 + 1/90*h**6 + 0 + 0*h**5 + 0*h + 1/9*h**y - 1/315*h**7 - 1/18*h**4. Factor n(z).
-2*(z - 1)**3*(z + 1)/3
Let i(q) be the first derivative of 0*q - 1/19*q**2 + 1/38*q**4 - 2/57*q**3 + 4 + 2/95*q**5. Factor i(x).
2*x*(x - 1)*(x + 1)**2/19
Let q(o) be the third derivative of 0 + 6*o**2 - 1/3*o**4 + 0*o**5 + 1/840*o**7 + 0*o**3 + 0*o + 0*o**6. Let p(d) be the second derivative of q(d). Factor p(w).
3*w**2
Let t(x) be the second derivative of x**7/21 + 8*x**6/15 + 3*x**5/2 - 4*x**4/3 - 16*x**3/3 + 590*x. Factor t(p).
2*p*(p - 1)*(p + 1)*(p + 4)**2
Let r be 24/3 + (10 - 18). Let -2/3*h + 2/3*h**4 + r - 2/3*h**2 + 2/3*h**3 = 0. What is h?
-1, 0, 1
Let y(c) be the second derivative of 19*c + 0 + 1/6*c**4 - c**2 + 0*c**3. Factor y(u).
2*(u - 1)*(u + 1)
Factor 0*w**5 - 76*w**4 - 4*w**4 + 89*w**3 + 3*w**5 + 2*w**5 - 14*w**3.
5*w**3*(w - 15)*(w - 1)
Suppose 3*k + 0*k = m + 3, -4*k + 4*m + 12 = 0. Solve 10*t**2 - 19*t - 6*t + 2*t**3 + k*t - 3*t**3 = 0.
0, 5
Let h = -1147/2 + 574. Factor 1/2*l**5 + 3/2*l**4 + 0 + 3/2*l**3 + 0*l + h*l**2.
l**2*(l + 1)**3/2
Determine q so that -10*q**2 + 4 - 1 - 21*q - 8 + 3 = 0.
-2, -1/10
Let x(b) be the third derivative of 0*b + 2*b**2 + 23/4*b**4 - 11/15*b**6 + 31/15*b**5 + 13 + 6*b**3 - 16/21*b**7 - 25/168*b**8. Find v, given that x(v) = 0.
-2, -1, -3/5, 1
Let g(h) be the third derivative of -h**8/504 + h**7/315 + h**6/30 + h**5/45 - 5*h**4/36 - h**3/3 + 72*h**2. Solve g(z) = 0 for z.
-1, 1, 3
Let b(l) be the third derivative of l**10/166320 - l**8/18480 + l**6/3960 - 5*l**4/12 + 5*l**2. Let t(s) be the second derivative of b(s). Factor t(j).
2*j*(j - 1)**2*(j + 1)**2/11
Let h(m) be the first derivative of 3 - 1/15*m**3 - 1/10*m**2 + 0*m. Determine u, given that h(u) = 0.
-1, 0
Let x(y) be the first derivative of 24*y**3/7 + 12*y**2/7 + 2*y/7 - 72. Factor x(v).
2*(6*v + 1)**2/7
Let v(a) be the first derivative of -a**6/60 + a**5/30 - 5*a**2/2 + 2. Let m(q) be the second derivative of v(q). Factor m(n).
-2*n**2*(n - 1)
Let f be 9 + 30*(-16)/72. Factor 1/3*u**3 + f*u - 1 - 5/3*u**2.
(u - 3)*(u - 1)**2/3
Let p(k) be the first derivative of k**3/3 + 165*k**2/2 + 894. Factor p(y).
y*(y + 165)
Let b = -738 + 740. Let p(c) be the first derivative of 0*c**3 + b + 0*c + 3/4*c**4 - 3/2*c**2. Solve p(u) = 0 for u.
-1, 0, 1
Let o = -12 + 21. Factor -o*k - k**5 + 9*k + k**3.
-k**3*(k - 1)*(k + 1)
Let t be -2*5/200*(-20)/36. Let u(r) be the third derivative of 0*r - 7/180*r**6 + 1/18*r**5 + 0*r**3 + 0 - 4*r**2 + 1/105*r**7 - t*r**4. Solve u(a) = 0.
0, 1/3, 1
Let u(b) be the first derivative of b**5/5 - 39*b**4/4 - 41*b**3/3 + 39*b**2/2 + 40*b - 329. Factor u(w).
(w - 40)*(w - 1)*(w + 1)**2
Let z be (3055/25 - 5)*(-5)/(-3). Let u = z - 194. Solve -u*x**3 + 8*x**4 - 1/6 - 29/6*x**2 - 5/3*x = 0 for x.
-1/3, -1/4, 1
Let t(v) = -23*v**2 - 13*v. Let o(i) = 42*i**2 + 24*i. Let b(c) = -6*o(c) - 11*t(c). Factor b(p).
p*(p - 1)
Let 2/5*q - 2/5*q**3 + 2/15*q**2 + 2/15*q**4 - 4/15 = 0. Calculate q.
-1, 1, 2
Suppose 13 = -g - 2*r - 60, 2*g + 5*r = -149. Let v = -66 - g. Determine s, given that -1/2*s**2 - v + 3/2*s = 0.
1, 2
Factor 4/5*h**2 + 2/5*h**5 + 6/5*h - 4/5 - 8/5*h**3 + 0*h**4.
2*(h - 1)**3*(h + 1)*(h + 2)/5
Let r(k) be the third derivative of -k**7/840 + k**6/240 + k**5/80 - k**4/24 - k**3/6 + 83*k**2. Factor r(x).
-(x - 2)**2*(x + 1)**2/4
Let b = 1932 - 1929. Determine r so that 0*r**b + 1/5*r**4 + 1/5*r**5 + 0*r**2 + 0 + 0*r = 0.
-1, 0
Let m(a) be the second derivative of 1/147*a**7 + 11/7*a**3 + 0 - 23/21*a**4 - 3/35*a**6 - 9/7*a**2 + 3/7*a**5 - 54*a. Factor m(y).
2*(y - 3)**2*(y - 1)**3/7
Let s(x) be the first derivative of x**4/5 - 396*x**3/5 + 58806*x**2/5 - 3881196*x/5 + 91. Determine u so that s(u) = 0.
99
Let j be 2/(-3) - 70/(-15). Factor 5*o - 3*o**2 + j*o**3 - 3*o**3 - 2*o - 1.
(o - 1)**3
Let q = -20 - -24. Solve -51*o**2 + q*o**5 + 51*o**2 = 0 for o.
0
Let 160*w + 13 + 20*w**2 - 2*w**5 - 30 - 50*w**3 - 111 - 20*w**4 + 20*w**2 = 0. Calculate w.
-4, 1
Solve -68*l**2 - 9*l**3 + 2*l**3 - 2*l**3 - 185*l - 122*l**2 + 4*l**3 = 0.
-37, -1, 0
Let q be 130/4 - (-2)/(-4). Let f = q + -30. Determine u so that 7*u**2 + 3*u**f + 3*u**3 - 24 - 4*u**2 - 2*u - 10*u = 0.
-2, 2
Let m(i) be the first derivative of -i**7/1120 - i**6/720 + i**5/480 - 34*i**3/3 + 14. Let u(w) be the third derivative of m(w). Factor u(x).
-x*(x + 1)*(3*x - 1)/4
Let n(u) be the third derivative of u**7/840 - 13*u**5/240 + u**4/8 + 13*u**2 - 17*u. Find s, given t