4 - l.
3*(l - 1)*(l + 1)**3*(5*l - 2)
Factor -2/3 - 1/3*o + 1/3*o**2.
(o - 2)*(o + 1)/3
Suppose d - 5 = -4*w, 2*d + 2*w - 10 = -0*w. Let s(x) be the second derivative of 0*x**2 - 1/75*x**6 - 1/15*x**3 + 0 - 1/10*x**4 - 3/50*x**d + 2*x. Factor s(h).
-2*h*(h + 1)**3/5
Let m(h) = 25*h**2 + 15*h - 20. Let t(y) = -y**2 - y + 1. Let n(v) = -m(v) - 20*t(v). Factor n(f).
-5*f*(f - 1)
Let m(v) be the first derivative of v**3/9 - v**2/6 - 7. Factor m(u).
u*(u - 1)/3
Let b(x) be the first derivative of -x**6/50 + x**5/100 + x**4/30 - x + 3. Let y(o) be the first derivative of b(o). Determine w, given that y(w) = 0.
-2/3, 0, 1
Let h(t) be the first derivative of -t**5/30 - t**4/24 + 5*t**3/18 - t**2/4 + 6. Factor h(b).
-b*(b - 1)**2*(b + 3)/6
Let m be (-1 - (-9)/6)*(2 - 2). Factor 0 - 2/3*t + m*t**2 + 2/3*t**3.
2*t*(t - 1)*(t + 1)/3
Let i(t) be the second derivative of t**7/420 - t**5/60 - t**3/3 - 2*t. Let u(b) be the second derivative of i(b). Let u(c) = 0. Calculate c.
-1, 0, 1
Let a(l) = 10*l - 85. Let m be a(9). Find z, given that 2/7*z + 0*z**3 - 4/7*z**4 + 0 + 4/7*z**2 - 2/7*z**m = 0.
-1, 0, 1
Let x be (0/(-1))/(8 - 6). Let b = 76 - 226/3. Factor -2/3*z - b*z**2 + x.
-2*z*(z + 1)/3
Let y(u) be the first derivative of -u**6/120 - u**5/16 - u**4/6 - u**3/6 + 4*u - 6. Let v(f) be the first derivative of y(f). Factor v(c).
-c*(c + 1)*(c + 2)**2/4
Let q = -361/2 + 181. Factor 0*r - q*r**3 + 0 + r**2 - 3/2*r**4.
-r**2*(r + 1)*(3*r - 2)/2
Let q(n) be the first derivative of 0*n**2 + 1/15*n**6 + 2 - 1/42*n**7 + n - 1/20*n**5 + 0*n**3 + 0*n**4. Let c(j) be the first derivative of q(j). Factor c(l).
-l**3*(l - 1)**2
Let t be 1/(9/6)*3 - -1. Let o(f) be the first derivative of 3/8*f**4 - 5/6*f**3 - t + 1/2*f**2 + 0*f. Let o(a) = 0. Calculate a.
0, 2/3, 1
Suppose -3*x + 24 = -3*f, 3*x - 3*f = 2*f + 30. Suppose 2*d = -0*d - 4*m - 8, -2*d - x*m - 11 = 0. Determine v, given that 2/7 + 4/7*v + 2/7*v**d = 0.
-1
Let p(x) be the second derivative of x**4/36 - x**3/2 + 7*x**2/3 - 9*x - 1. Solve p(u) = 0.
2, 7
Let i be 184/12 - (4 + -4). Solve 8/9 + 140/9*v**3 + 50/9*v**4 + 56/9*v + i*v**2 = 0.
-1, -2/5
Solve 3/5*l**5 - 6/5*l**3 - 6/5*l**2 + 3/5*l + 3/5*l**4 + 3/5 = 0 for l.
-1, 1
Let m(t) be the third derivative of t**8/784 + t**7/245 - t**5/70 - t**4/56 + 7*t**2. Factor m(h).
3*h*(h - 1)*(h + 1)**3/7
Let p = -4 - -6. Suppose 0 = -3*n + 5*y - 5, 3*y = -4*n + 5*y - 2. Factor -2 - l**p + n + 2.
-l**2
Let b(t) be the third derivative of -5*t**7/231 - 3*t**6/44 - 4*t**5/55 - t**4/33 - 8*t**2. Factor b(k).
-2*k*(k + 1)*(5*k + 2)**2/11
Let y(l) be the second derivative of -l**4/6 - 7*l**3/3 - 10*l**2 + l - 2. Factor y(k).
-2*(k + 2)*(k + 5)
Suppose 0*a - 4*a = -2*j + 12, 0 = 2*j - 5*a - 15. Factor 4 + j*o**2 + 2*o - o**2 - o**2.
-2*(o - 2)*(o + 1)
Suppose 44 = 5*c + m, -4 = -4*m + 12. Let b(g) be the first derivative of -25/3*g**6 + 2 - 19/2*g**4 + 8*g + 22*g**5 + c*g**2 - 46/3*g**3. Factor b(o).
-2*(o - 1)**3*(5*o + 2)**2
Let y(p) be the third derivative of -p**5/30 + p**4/3 + p**2. Factor y(j).
-2*j*(j - 4)
Let b(q) = 2*q**3 + 18*q**2 + 10*q - 3. Let g(z) = -15*z**3 - 125*z**2 - 70*z + 20. Let j(y) = -20*b(y) - 3*g(y). Suppose j(n) = 0. Calculate n.
-2, -1, 0
Let f(c) be the second derivative of -2*c + 0*c**3 + 1/10*c**2 - 1/60*c**4 + 0. Determine g, given that f(g) = 0.
-1, 1
Suppose -2*r + p + 5 = 0, 6*r - r - 3*p - 15 = 0. Suppose 0 = -6*c + c + 20. Solve 2/9*u**2 + r + 4/9*u + 10/9*u**c - 16/9*u**3 = 0 for u.
-2/5, 0, 1
Let o be (-849)/(-9) - (-6)/9. Let d be (-6)/(-2) + o/(-35). Determine k so that 0 + d*k**2 + 0*k = 0.
0
Let b(l) be the first derivative of -4*l**5/15 - l**4/2 + l**2/3 + 4. Factor b(s).
-2*s*(s + 1)**2*(2*s - 1)/3
Let h(m) = -m**2 + 9*m - 11. Let i be h(5). Suppose -i*a = -8*a. Factor a*c**2 + 0*c + 1/2*c**3 + 0 - 1/2*c**5 + 0*c**4.
-c**3*(c - 1)*(c + 1)/2
Let z(w) be the third derivative of -w**6/420 + w**5/70 - 4*w**3/21 + 2*w**2. Factor z(q).
-2*(q - 2)**2*(q + 1)/7
Let c be (-6)/12 - 195/6. Let m = -163/5 - c. Factor 0*n - 2/5*n**4 + 0 + 2/5*n**2 + 2/5*n**3 - m*n**5.
-2*n**2*(n - 1)*(n + 1)**2/5
Let k(c) be the first derivative of -4*c**3/27 + 10*c**2/9 - 8*c/3 - 11. Let k(t) = 0. What is t?
2, 3
Let b(i) be the second derivative of -i**5/60 + i**3/6 - i**2 + 3*i. Let f(c) be the first derivative of b(c). Factor f(h).
-(h - 1)*(h + 1)
Factor -1/7 - 8/7*q**2 + 9/7*q**4 + 6/7*q - 6/7*q**3.
(q - 1)*(q + 1)*(3*q - 1)**2/7
Let z(k) be the third derivative of 3*k**8/112 - k**7/70 - 3*k**6/40 + k**5/20 + 9*k**2. Find q, given that z(q) = 0.
-1, 0, 1/3, 1
Let n(r) be the third derivative of -r**6/1620 + r**5/540 + r**3/6 + 3*r**2. Let i(y) be the first derivative of n(y). Factor i(h).
-2*h*(h - 1)/9
Suppose -6*u = -5*u. Suppose j = -u*j. Factor 0*d**2 + 2/11*d**3 + 2/11*d**4 + 0 + j*d.
2*d**3*(d + 1)/11
Suppose -2/3*d**3 - 1/3*d**4 + 1/3*d**5 + 0*d + 0*d**2 + 0 = 0. What is d?
-1, 0, 2
Let a = -40 + 124/3. Solve a*d - 2/3*d**2 + 0 = 0.
0, 2
Suppose -2*d + 20 = -4*v, -3*v - 2*v = -2*d + 26. Let h(m) = -m - 4. Let j be h(v). Factor j*c**4 + c**3 - 2*c**3 - c**4.
c**3*(c - 1)
Solve 1/5*k**5 + 0 + 0*k + 1/5*k**3 + 0*k**2 + 2/5*k**4 = 0 for k.
-1, 0
Let l(a) be the third derivative of -a**6/150 - a**5/25 - a**4/15 + 4*a**2. Factor l(b).
-4*b*(b + 1)*(b + 2)/5
Let z(v) be the third derivative of -v**6/780 + v**4/52 - 2*v**3/39 - 14*v**2. Determine r so that z(r) = 0.
-2, 1
Suppose 3*s - 10 = s. Factor -2*y**2 + s*y + 0*y + 0 - y - 2.
-2*(y - 1)**2
Let u = -12 - -26. Factor u*n**2 - 2 - 6*n**3 - 1 - 5*n**2.
-3*(n - 1)**2*(2*n + 1)
Suppose 4/5 - 2*r**2 - 2/5*r + 6/5*r**4 + 2/5*r**3 = 0. Calculate r.
-1, 2/3, 1
Let z = 4/3 - 13/12. Let -z + 0*h + 1/4*h**2 = 0. Calculate h.
-1, 1
Suppose -29 + 29 - 8*h**3 + 18*h**2 - 4*h = 0. Calculate h.
0, 1/4, 2
Suppose 3*t - 2 - 1 = 0. Let f = t + -1. Factor f*q + 0*q + q**2 - 1.
(q - 1)*(q + 1)
Let i(h) be the third derivative of -1/120*h**6 + 0*h**5 + 0 + 0*h**3 - 2*h**2 + 0*h + 1/24*h**4. Factor i(t).
-t*(t - 1)*(t + 1)
Let g = -738/7 - -12560/119. Suppose -2/17 - g*d**2 - 4/17*d = 0. What is d?
-1
Let d(y) be the third derivative of 3*y**2 + 0*y**3 - 1/15*y**5 - 2/35*y**7 + 1/10*y**6 + 0*y**4 + 0*y + 1/84*y**8 + 0. Determine v, given that d(v) = 0.
0, 1
Let o(k) = -k**2 + 3*k + 28. Let d be o(7). Find v, given that -2/9*v**2 - 4/9*v + d = 0.
-2, 0
Factor -2 + 7/5*l + 4/5*l**2 - 1/5*l**3.
-(l - 5)*(l - 1)*(l + 2)/5
Let f = -311 - -311. Factor 2/3*n + 2*n**2 + f.
2*n*(3*n + 1)/3
Let i(t) = -2*t + 4. Suppose 4*a + 7 = z, 4*a + 0*a + 37 = -5*z. Let r be i(a). Solve -9*l**2 + 0*l + r*l**2 - l = 0.
0, 1
Let j(t) be the second derivative of -t**4/18 + t**3 - 14*t**2/3 - 2*t. Solve j(k) = 0 for k.
2, 7
Factor 1/2*x**5 + 0 - x + 1/2*x**4 - 5/2*x**2 - 3/2*x**3.
x*(x - 2)*(x + 1)**3/2
Let k = 1 - -1. What is x in 2/3*x**k - 4/9*x - 2/9 = 0?
-1/3, 1
Suppose -2/7 + 108/7*p**3 + 19/7*p + 100/7*p**2 = 0. What is p?
-1/2, 2/27
Find z such that -1/3*z**3 - 1/3 - z**2 - z = 0.
-1
Let j(b) be the third derivative of -b**6/80 + 9*b**5/40 - 3*b**4/2 + 4*b**3 + 59*b**2. Let j(g) = 0. What is g?
1, 4
Factor 1/4*v**3 - 2 - 3/2*v**2 + 3*v.
(v - 2)**3/4
Let n(w) be the third derivative of -w**8/1008 - w**7/630 + w**6/180 + w**5/90 - w**4/72 - w**3/18 + 9*w**2. Factor n(k).
-(k - 1)**2*(k + 1)**3/3
Let n(i) be the third derivative of 0 + 0*i + 1/120*i**6 - 2*i**2 + 1/3*i**3 - 1/24*i**4 - 1/30*i**5. Determine u, given that n(u) = 0.
-1, 1, 2
Let s(v) = -v**3 + 3*v**2 + 4*v + 4. Let p be s(4). Let r be (1 - -1)*1 + p. Determine a so that -6*a + 2*a**4 + r*a + 2*a**5 = 0.
-1, 0
Factor -2/5*o**2 - 10 - 4*o.
-2*(o + 5)**2/5
Solve 0 + 4/7*o + 24/7*o**3 + 8/7*o**4 + 18/7*o**2 = 0.
-2, -1/2, 0
Factor -4/13*c - 6/13*c**2 + 0 - 2/13*c**3.
-2*c*(c + 1)*(c + 2)/13
Let f be 2/(3 + 5) - 0. Let s(x) be the first derivative of 0*x**3 - f*x**4 - 1 + 3/2*x**2 + 2*x. Let s(h) = 0. What is h?
-1, 2
Let m(y) = 7*y**3 + 4*y**2 + 7*y + 6. Let u(f) be the first derivative of -2*f**4 - 5*f**3/3 - 4*f**2 - 7*f - 1. Let k(l) = 7*m(l) + 6*u(l). Factor k(o).
o*(o - 1)**2
Suppose 0 = 2*u + 30 - 4. Let j = -9 - u. Suppose 0 + 1/5*w**5 - 1/5*w**3 + 1/5*w**2 + 0*w - 1/5*w**j = 0. What is w?
-1, 0, 1
Suppose 5*h + 85 = 2*g - 0*g, -184 = -5*g + 3*h. Let u = g + -33. Factor 2/5 +