k - 1)**2/9
Let z = 11 + -11. Let u(f) be the third derivative of 0*f + z + 0*f**3 - 1/6*f**4 + 2*f**2 + 1/30*f**5. Factor u(r).
2*r*(r - 2)
Let l(t) be the second derivative of t**6/135 - t**5/30 + t**4/27 + t. Factor l(m).
2*m**2*(m - 2)*(m - 1)/9
Let u = -56 + 60. Suppose -s + 14 = s. Solve f**u - 2*f**3 + 0*f**3 - s*f**4 + 4*f**2 = 0.
-1, 0, 2/3
Suppose x = r - 5*r + 17, 2*x + 2 = 4*r. What is k in k**5 - 3*k**r + 0*k**5 - 7*k**2 + 2*k**5 + k**2 + 6*k**4 = 0?
-2, -1, 0, 1
Let b be (1 - (-1 - -1))*1. Solve 9*v**2 + 2*v**4 + 22*v**3 - 3*v**2 - 6*v**5 - 9 + b - 16*v = 0 for v.
-1, -2/3, 1, 2
Factor -20*h - 2 - 23*h**2 - 25*h**2 + 19*h**2 - 21*h**2.
-2*(5*h + 1)**2
Suppose -30*x + 31*x + 5*n = 5, -2 = x - 2*n. Suppose -2*g + 2*a = -2, 4*g + a - 5 = 6*a. Determine h so that 2/5*h**2 + x + g*h**3 - 2/5*h**4 + 0*h = 0.
-1, 0, 1
Let h(w) be the first derivative of 5/6*w**4 - 2/9*w**3 + 0*w - 2 - 1/3*w**2 - 2/5*w**5. Factor h(c).
-2*c*(c - 1)**2*(3*c + 1)/3
Let u(g) = g - 9. Let q be u(12). Suppose 4 = -4*w + 7*f - 3*f, q*w + 5*f - 5 = 0. Suppose -o**2 + 0*o + w + 1/2*o**3 = 0. Calculate o.
0, 2
Let t(y) be the second derivative of -y**5/180 - y**4/24 - y**3/9 + 2*y**2 + 3*y. Let u(o) be the first derivative of t(o). Find m, given that u(m) = 0.
-2, -1
Let k be ((-4)/10)/(3 + (-96)/30). Let f(j) be the second derivative of -4/15*j**3 + k*j + 1/30*j**4 + 4/5*j**2 + 0. Factor f(t).
2*(t - 2)**2/5
Let j(b) = -4*b**2 - b. Let f(s) = -s - 6 + 6 - 5*s**2. Let g(d) = 3*f(d) - 4*j(d). Let p(k) = 2*k**2 + 6*k - 2. Let t(r) = -6*g(r) + 2*p(r). Factor t(l).
-2*(l - 2)*(l - 1)
Let w(g) be the first derivative of g**8/1176 + g**7/735 - g**6/420 - g**5/210 + 3*g**2/2 - 10. Let o(c) be the second derivative of w(c). Factor o(l).
2*l**2*(l - 1)*(l + 1)**2/7
Let p be -10*(0 - (-4)/(-8)). Solve 70*n**p - 2*n**4 - 2*n + 6*n**4 - 68*n**5 - 4*n**2 = 0 for n.
-1, 0, 1
Let o be (15/(-20))/(3/(-12)). Let a(x) be the first derivative of -1/3*x**6 + 4/15*x**5 + 0*x**3 + 0*x + 0*x**2 + 0*x**4 - o. Find h, given that a(h) = 0.
0, 2/3
Let i(r) = -2*r**3 + 2. Let o(f) = f**3 - 13*f**2 + 2*f - 1. Let l(b) = -7*b**2 + b. Let w(a) = -11*l(a) + 6*o(a). Let x(s) = 7*i(s) + 2*w(s). Factor x(j).
-2*(j - 1)*(j + 1)**2
Factor -g + g**2 + 3*g - g**3 + 5*g - 5*g.
-g*(g - 2)*(g + 1)
Let p(x) be the first derivative of 3*x**8/700 + x**7/280 - x**6/300 + 5*x**3/3 - 4. Let v(r) be the third derivative of p(r). Find l such that v(l) = 0.
-2/3, 0, 1/4
Factor -1/5*c + 1/5*c**2 + 0.
c*(c - 1)/5
Determine h so that h**3 + 2/3*h**2 + 0*h**4 + 0*h - 1/3*h**5 + 0 = 0.
-1, 0, 2
Let y = -1/1132 + 2267/3396. Factor -y + 1/3*p + 1/3*p**2.
(p - 1)*(p + 2)/3
Let o(b) be the second derivative of 1/3*b**3 - 1/12*b**4 - 1/10*b**5 + 0*b**2 + 1/30*b**6 + 0 - 5*b. Let o(m) = 0. Calculate m.
-1, 0, 1, 2
Let l = 18 + -14. Let c(n) be the second derivative of -2/3*n**2 + n + 0 + 1/18*n**l + 1/9*n**3. Determine b so that c(b) = 0.
-2, 1
Let w(c) be the second derivative of -c**5/35 + 2*c**3/7 - 4*c**2/7 + 13*c. Factor w(v).
-4*(v - 1)**2*(v + 2)/7
Let p = -121 + 3631/30. Let h(l) be the second derivative of 0*l**2 - l + 0*l**3 + 0 - p*l**4. Determine f so that h(f) = 0.
0
Let k be -7 + 5 + 4/2. Factor -3*p + k + 0*p + p**2 + 2.
(p - 2)*(p - 1)
Let o = 11 - 10. Let q be 1*(o - 5)/(-2). Find s such that -s**3 - 3/2*s - 1/4 - 9/4*s**q = 0.
-1, -1/4
Find m, given that -11/3*m - 1/3*m**3 - 2*m**2 - 2 = 0.
-3, -2, -1
Suppose -2*d + 16 = d - 4*a, -3*d - 4 = a. Let n(o) be the second derivative of -1/80*o**5 - 1/24*o**4 - 1/24*o**3 + 0*o**2 - 2*o + d. Factor n(i).
-i*(i + 1)**2/4
Let g(d) be the third derivative of 0*d + 0*d**4 + 1/70*d**7 + 1/40*d**6 + 0 + 0*d**5 + d**2 + 0*d**3. Factor g(n).
3*n**3*(n + 1)
Let c(t) be the first derivative of -3*t**4/4 + 5*t**3/3 - t**2 - 12. Factor c(f).
-f*(f - 1)*(3*f - 2)
Let i = 798433/406840 - 1082/1453. Let j = i + -1/56. Factor -4/5 - 2/5*n**2 + j*n.
-2*(n - 2)*(n - 1)/5
Suppose -5*s + 22 + 13 = 0. Factor -4*a + 21*a**2 - 1 + 31*a + s.
3*(a + 1)*(7*a + 2)
Let w be ((-18)/15)/(-3)*10. Find o, given that 0*o**2 - 4*o + 2*o - 2*o**2 - w + 4*o**2 = 0.
-1, 2
Let y = -589/220 + 30/11. Let w(q) be the second derivative of -q - 1/18*q**3 - 1/9*q**4 - y*q**5 + 0 + 0*q**2. Let w(v) = 0. What is v?
-1, -1/3, 0
Let u(r) = 4*r - 22. Let h be u(6). Factor 3/4*z**3 + 7/4*z + 1/2 + h*z**2.
(z + 1)**2*(3*z + 2)/4
Suppose 8*n - 4*n = 0. Suppose -2*m + 6 = 4*h, h = 4*m - n*h - 12. Suppose 2/7*o**4 + 0*o - 2/7*o**m - 2/7*o**2 + 2/7*o**5 + 0 = 0. Calculate o.
-1, 0, 1
Let c be 5/30 + 865/30. Let w = 32 - c. Factor 2/7*g**4 + 2/7 + 0*g**w - 4/7*g**2 + 0*g.
2*(g - 1)**2*(g + 1)**2/7
Let n(w) be the third derivative of -w**8/336 - w**7/70 + w**6/120 + 7*w**5/60 - 2*w**3/3 + 3*w**2. Determine z, given that n(z) = 0.
-2, -1, 1
Suppose -5/2*m**3 + 19/5*m**2 + 4/5 - 14/5*m + 4/5*m**4 - 1/10*m**5 = 0. Calculate m.
1, 2
Let q(c) = 5*c**2. Let z be q(-1). Suppose s = -2 + z. Determine m so that -9*m**2 + 8 + 2 + 6 - 4 + s*m**3 = 0.
-1, 2
Let j be 2 - ((-1)/(-2) + 11/(-22)). Let m(o) be the first derivative of -338/3*o**3 - 3 - 52*o**j - 8*o. Factor m(d).
-2*(13*d + 2)**2
Suppose -5*f - 3*w - w = -20, 10 = -2*f + 2*w. Factor 16*d**4 - 13/3*d**2 + f - 8/3*d**3 - 2/3*d.
d*(3*d - 2)*(4*d + 1)**2/3
Let b(m) be the first derivative of -m**4/4 + 19*m**3/3 - 6*m + 6. Let c(a) = a**3 - a**2 - a + 1. Let n(z) = -b(z) - 6*c(z). Solve n(y) = 0.
-3, 0, 2/5
Let s(b) be the third derivative of -1/560*b**8 + 0 + 0*b**4 + 0*b**3 + 0*b + 1/50*b**6 + 0*b**5 + 5*b**2 + 0*b**7. Factor s(q).
-3*q**3*(q - 2)*(q + 2)/5
Let t = -2 - -2. Let g be (0 - -1) + -5 + 48/8. Factor 1/2*q**4 + t*q + 0 + 0*q**g + 1/2*q**3.
q**3*(q + 1)/2
Let m(v) be the first derivative of -3*v**4/4 - 3*v**3 - 3*v**2 - 10. Factor m(z).
-3*z*(z + 1)*(z + 2)
Let j(o) be the second derivative of -o**4/42 - 10*o**3/7 - 225*o**2/7 - 5*o + 2. Factor j(t).
-2*(t + 15)**2/7
Let r(t) = -t**3 - 5*t**2 - 2*t + 4. Let s be r(-4). Let x be ((-112)/12)/(s + 2). Determine l so that x*l - 8/3*l**3 - 8/3*l**2 - 4/3 = 0.
-2, 1/2
Suppose 0*w - 2*w + 14 = 5*y, -2*w = 2*y - 8. Let a be 2/((-30)/(-55)) - 3. Factor 2/3*x**3 + a + 2*x**w + 2*x.
2*(x + 1)**3/3
Let d be (6/(-36))/(-1)*3. Find a, given that d + 0*a - 1/2*a**2 = 0.
-1, 1
Let n(b) be the second derivative of b**7/70 - b**6/10 + 3*b**5/10 - b**4/2 + b**3/2 + b**2/2 - 5*b. Let i(k) be the first derivative of n(k). Factor i(d).
3*(d - 1)**4
Let m be (6/(-4))/((6 + 0)/(-3)). Factor m*g**2 + 0 + 3/2*g.
3*g*(g + 2)/4
Let y = -233 - -6991/30. Let r(v) be the second derivative of 1/60*v**4 - 1/150*v**6 - y*v**3 + 0*v**2 + 0 + 1/100*v**5 + v. Factor r(d).
-d*(d - 1)**2*(d + 1)/5
Suppose 16 + 0 = m + 4*g, 2*g - 8 = 4*m. Factor 0*r**4 + 0*r**2 + 1/3*r**3 + m - 1/3*r**5 + 0*r.
-r**3*(r - 1)*(r + 1)/3
Let k(g) = -12*g**2 + 3*g - 5. Let z(m) = -11*m**2 + 3*m - 4. Let y(n) = -6*k(n) + 7*z(n). Factor y(t).
-(t - 1)*(5*t + 2)
Solve 2/9*v**4 + 8/9*v**3 + 0 + 10/9*v**2 + 4/9*v = 0.
-2, -1, 0
Let b(j) = -j**2 - 124*j - 716. Let r(z) = 2*z**2 + 123*z + 717. Let h(c) = 3*b(c) + 4*r(c). Factor h(u).
5*(u + 12)**2
Determine i so that 2/5*i**5 + 0 + 2/5*i**2 + 0*i - 2/5*i**4 - 2/5*i**3 = 0.
-1, 0, 1
Let d(z) = z**3 - 5*z**2 + z - 3. Suppose 0 = i - 3 - 2. Let g be d(i). Let 0*l**g - 3*l**2 - 4*l**2 + 2*l = 0. What is l?
0, 2/7
Let z(v) = v - 1. Let d(b) = 5*b**2 - 10*b - 55. Let n(x) = -d(x) + 20*z(x). Suppose n(y) = 0. Calculate y.
-1, 7
Let b(p) = p**2 + 8*p + 14. Suppose s = 2*r + 9, 0*r + 4*r + 21 = s. Let t be b(r). Factor 1/2*d**5 + 0*d**4 + 1/2*d + 0 + 0*d**t - d**3.
d*(d - 1)**2*(d + 1)**2/2
Suppose 7 = 2*k + 1. Let h(j) be the third derivative of 0*j - 1/210*j**5 + 1/140*j**6 + 0*j**k + 1/1176*j**8 + 0*j**4 + 2*j**2 + 0 - 1/245*j**7. Factor h(g).
2*g**2*(g - 1)**3/7
Let w = -9/25 - -163/175. Find u such that 4/7*u + 0*u**2 - w*u**3 + 2/7*u**4 - 2/7 = 0.
-1, 1
Let s be 57/(-12) + 2/(-8). Let v = s - -9. Factor -2*a + 2 - a**3 + 0*a**3 - 3*a + v*a**2.
-(a - 2)*(a - 1)**2
Let x(d) be the third derivative of d**5/60 + d**4/4 - 5*d**3/6 - d**2. Let a be x(-7). Let 2 + 4*c**2 + 2*c + 0 - 2*c**a - 4*c**2 - 2*c**3 = 0. What is c?
-1, 1
Let a(q) = 6*q**3 - 22*q**2 + 5*q - 4. Let d(x) = -x - 2. Let j(l) = -a(l) + 5*d(l). Determine i so that j(i)