*l**3 - 6 - 22*l - 80/3*l**2.
-2*(l + 1)*(4*l + 3)**2/3
Let h = -7 + 26/3. Factor -2/3 + h*b - b**2 - 1/3*b**3 + 1/3*b**4.
(b - 1)**3*(b + 2)/3
Let b be ((-2)/(-4))/(((-308)/(-33))/14). Factor -1/2*k - b*k**2 + 0 - 1/4*k**3.
-k*(k + 1)*(k + 2)/4
Let s(f) be the first derivative of -f**8/3360 - f**7/280 - f**6/80 + 4*f**3/3 + 1. Let r(h) be the third derivative of s(h). Solve r(n) = 0 for n.
-3, 0
Let t(j) = 2 + j**2 - 3*j**2 + j + j**2 + 0*j**2. Let r be t(2). Suppose 0*c**2 + 0*c + r - 1/3*c**3 - 1/3*c**5 + 2/3*c**4 = 0. What is c?
0, 1
Let b(c) be the second derivative of 4*c**2 + 0 + 1/6*c**4 - 4/3*c**3 - 2*c. Solve b(y) = 0 for y.
2
Factor -12*b**3 + 20*b - 224*b**2 - 8*b**3 - 8 + 232*b**2.
-4*(b - 1)*(b + 1)*(5*b - 2)
Let i(z) be the first derivative of 2*z**5 - 12*z**4/7 + 8*z**3/21 + 8. What is h in i(h) = 0?
0, 2/7, 2/5
Determine w so that -4/7*w**2 + 6/7 - 2/7*w**5 - 10/7*w + 12/7*w**3 - 2/7*w**4 = 0.
-3, -1, 1
Suppose 13 = n + 9. Let 0*u + 0 + u**2 + 5/2*u**3 + 2*u**n + 1/2*u**5 = 0. Calculate u.
-2, -1, 0
Suppose 2 = -q + 2*q - 2*l, 2*q - l = 4. Factor n + 3/4 + 1/4*n**q.
(n + 1)*(n + 3)/4
Factor -40*o**3 - 19*o**4 + 8*o**3 + 3*o**4 + 36*o + 12*o**2.
-4*o*(o - 1)*(2*o + 3)**2
Let t(k) = -9*k**3 + 2*k**2 + 7*k - 7. Let r be 26/(-6) - (-5)/15. Let a(n) = 5*n**3 - n**2 - 4*n + 4. Let m(h) = r*t(h) - 7*a(h). Find x, given that m(x) = 0.
0, 1
Suppose k = -k - k. Factor -2/7*u**3 + k*u + 0*u**2 + 0.
-2*u**3/7
Let g(i) = -12*i + 96. Let n be g(8). Let p be (-1)/(-3)*(-1 + 10). Find s, given that 0 + n*s**2 - 2/5*s**p + 2/5*s = 0.
-1, 0, 1
Let z be 40/(-5) + (-12 - -20). Factor 0 + 2/7*h**3 + 0*h + z*h**2.
2*h**3/7
Determine u so that 1/3*u**2 - 1/3*u + 1/9 - 1/9*u**3 = 0.
1
Suppose -2*z + 24 = -6*z. Let u be 4 + -3*4/z. Factor 4*w**2 - w**2 - 3 - w**2 + 7 + u*w.
2*(w + 1)*(w + 2)
Let b be 1/(-1)*(-1 - (-5)/7). Factor b + 2/7*f**2 + 4/7*f.
2*(f + 1)**2/7
Let d(l) be the first derivative of -l**6/3 + 6*l**5/5 - l**4 - 18. Find s, given that d(s) = 0.
0, 1, 2
Let g(f) be the second derivative of -f**7/126 - 4*f**6/45 - 4*f**5/15 + 25*f. Suppose g(o) = 0. What is o?
-4, 0
Suppose 0 = -7*u + 5*u + 4. Let z be ((-4)/(-2))/((-4)/(-6)). Solve y**5 - 7*y**5 - u*y**2 + 6*y**3 - 2*y**2 + 4*y**4 + 0*y**z = 0.
-1, 0, 2/3, 1
Suppose -49 = -4*k + 3*h, 57 = 4*k + 7*h - 2*h. Let l = k - 5. Factor 20*s**3 - l*s**4 + 10*s + 2*s**4 - 2*s**5 - 2 - 4*s**4 + 4*s**5 - 20*s**2.
2*(s - 1)**5
Let b(m) = -m**3 - 2*m**2 + m + 2. Let d be b(-1). Solve d*v - 8/9*v**2 - 14/9*v**4 + 32/9*v**3 + 0 = 0.
0, 2/7, 2
Let k be (14/6 - 3)*327/(-8). Factor 49/4*p**5 + k*p**3 + 9*p**2 + 63/2*p**4 + p + 0.
p*(p + 1)**2*(7*p + 2)**2/4
What is i in 3 + 19*i**3 + 1 - 3*i**2 - 9*i**3 - 9*i**3 = 0?
-1, 2
Let a = 156 + -154. Factor d + 1/4*d**a + 1.
(d + 2)**2/4
Let u = -28 + 45. Suppose 26 = 3*v + 5*n - 1, u = 5*v - n. Factor 3*f**3 + 3*f**v + 5*f**2 - 2*f**2 - 2*f**4 + 2*f - f.
f*(f + 1)**3
Determine w, given that -4/19*w + 2/19*w**3 + 0 + 2/19*w**2 = 0.
-2, 0, 1
Let z(o) be the second derivative of -o**4/54 + o**3/9 + 4*o**2/9 + 20*o. Factor z(h).
-2*(h - 4)*(h + 1)/9
Let h(t) = t**3 - t**2 + t - 1. Let v(x) = -10*x**3 - 18*x**2 + 138*x - 238. Let w(b) = -12*h(b) - v(b). Factor w(r).
-2*(r - 5)**3
Let f(q) = -q**4 + 1. Let j(d) = 14*d**4 - 2*d**3 - 6*d**2 + 2*d - 8. Let k(b) = 8*f(b) + j(b). Suppose k(u) = 0. Calculate u.
-1, 0, 1/3, 1
Let m(n) be the third derivative of n**8/168 + n**7/42 + n**6/30 + n**5/60 - 11*n**2. Factor m(v).
v**2*(v + 1)**2*(2*v + 1)
Let g(d) be the first derivative of 3 - 1/9*d**3 - 3*d - 1/30*d**5 + 0*d**2 + 1/9*d**4. Let z(k) be the first derivative of g(k). Factor z(c).
-2*c*(c - 1)**2/3
Let s(i) be the first derivative of 2*i**5/35 + 3*i**4/28 - i**2/14 + 7. Factor s(y).
y*(y + 1)**2*(2*y - 1)/7
Factor -8/11*y**2 + 0*y**3 + 0*y + 16/11 + 1/11*y**4.
(y - 2)**2*(y + 2)**2/11
Let c be (46/(-21) - -2)*-3. Let l = 30 + -208/7. Solve -c*k - l - 2/7*k**2 = 0 for k.
-1
Let m(p) be the first derivative of -p**5/15 + p**4/4 - p**3/3 - 5*p**2 + 6. Let i(j) be the second derivative of m(j). Factor i(w).
-2*(w - 1)*(2*w - 1)
Let p(o) = -3*o**5 + 4*o**4 + 8*o**3 + 4*o**2 - 4. Let t(b) = -2*b**5 + 4*b**4 + 7*b**3 + 3*b**2 - 3. Let h(v) = -3*p(v) + 4*t(v). Factor h(w).
w**3*(w + 2)**2
Let a(b) = -b**4 + b**2 + 1. Let f(o) = 12*o**5 - 42*o**4 + 45*o**3 - 18*o**2 + 3*o + 3. Let y = -12 - -13. Let g(d) = y*f(d) - 3*a(d). Factor g(t).
3*t*(t - 1)**3*(4*t - 1)
Suppose j + 2*j = -f, 2*f + 3*j = 0. Factor 1/3*u - 2/3*u**2 + f + 1/3*u**3.
u*(u - 1)**2/3
Let 122 + 4*n**3 - 2*n**5 - n**2 + 4*n**4 - 118 - 2*n - 7*n**2 = 0. What is n?
-1, 1, 2
Let k(f) = -6 + 2*f**2 + 3*f**2 + 3*f**2 + 4*f. Let c = -6 + 0. Let b(m) = -7*m**2 - 3*m + 5. Let h(o) = c*b(o) - 5*k(o). Determine i so that h(i) = 0.
0, 1
Let m(u) be the first derivative of -3 - 1/2*u**3 + 2*u**2 - 2*u. Determine v, given that m(v) = 0.
2/3, 2
Let x be (-5)/(-6)*4/10. Let l = -60 + 60. Let -x*h**2 + 0 + l*h = 0. What is h?
0
Let d(f) be the first derivative of f**4/26 - 2*f**3/13 + 8*f/13 - 15. Factor d(q).
2*(q - 2)**2*(q + 1)/13
Factor 0 + 1/3*n**2 + 4/3*n.
n*(n + 4)/3
Let i(t) be the third derivative of t**6/140 + t**5/42 + t**4/42 - 7*t**2. Factor i(y).
2*y*(y + 1)*(3*y + 2)/7
Let t(l) = 15*l**2 - 40*l + 30. Let i(y) = -8*y**2 + 20*y - 15. Let f(z) = 5*i(z) + 3*t(z). Factor f(r).
5*(r - 3)*(r - 1)
Let d(z) = z**3 - 6*z**2 - z - 3. Let l be d(6). Let p = l + 13. Find r such that -2/3*r**p + 4/3*r**2 + 2/3*r**5 - 4/3*r**3 + 2/3*r - 2/3 = 0.
-1, 1
Let n(t) be the second derivative of -t**6/10 + 3*t**5/20 + 3*t**4/4 - t**3/2 - 3*t**2 + 49*t. Factor n(s).
-3*(s - 2)*(s - 1)*(s + 1)**2
Suppose -4*q = -2*s - 20, 4*s + 10 = -q + 4*q. Factor -11*c**5 - 5*c**3 - 2 - 29*c**3 + 30*c**4 + 20*c**2 + 3*c**5 - q*c**3.
-2*(c - 1)**4*(4*c + 1)
Let u(b) be the first derivative of 20*b**5 - 30*b**4 - 44*b**3/3 + 24*b**2 + 16*b + 3. Suppose u(o) = 0. Calculate o.
-2/5, 1
Let c(f) be the third derivative of 0 - 1/300*f**5 + 0*f**4 + 0*f + 1/1050*f**7 + 3*f**2 + 0*f**3 + 0*f**6. Factor c(i).
i**2*(i - 1)*(i + 1)/5
Let x(c) be the second derivative of -29*c**5/20 - 37*c**4/12 - 4*c**3/3 - 3*c. Let m(d) = -7*d**3 - 9*d**2 - 2*d. Let i(y) = 9*m(y) - 2*x(y). Factor i(h).
-h*(h + 1)*(5*h + 2)
Let n(w) be the second derivative of 1/48*w**4 + 0*w**2 + 8*w + 1/84*w**7 - 1/40*w**6 + 0 + 0*w**5 + 0*w**3. Suppose n(t) = 0. What is t?
-1/2, 0, 1
Let b(o) = -3*o**2 - 12*o - 8. Let u(n) = -24*n**2 - 96*n - 63. Let w(h) = -33*b(h) + 4*u(h). Determine s, given that w(s) = 0.
-2
Let j(r) = r**3 - 7*r**2 - 9*r. Let b be j(8). Let y be (-2)/b*144/27. Factor y*x**5 + 7/3*x**2 + 13/3*x**4 + 0 + 1/3*x + 5*x**3.
x*(x + 1)**3*(4*x + 1)/3
Factor 0*l - 2/5*l**3 + 0*l**2 + 0 - 1/5*l**4.
-l**3*(l + 2)/5
Suppose 3*z = 7*z - 16. Factor -1/3*y - 1/3*y**2 + 1/3*y**3 + 1/3*y**z + 0.
y*(y - 1)*(y + 1)**2/3
Let s(k) = -12*k**2 - 20*k + 8. Let b(h) = 12*h**2 + 20*h - 8. Let q(l) = -4*b(l) - 3*s(l). Factor q(w).
-4*(w + 2)*(3*w - 1)
Let u(c) be the first derivative of 9*c**5/10 + 3*c**4/2 + c**3/2 - 11. Determine a so that u(a) = 0.
-1, -1/3, 0
Let x be (-39)/(-15) - 3 - 1624/(-60). Let -x*o**2 + 22/3*o - 2/3 + 32*o**3 = 0. What is o?
1/4, 1/3
Let m be 3*((-35)/15 - -3). Factor -6/7*u + 0*u**m + 8/7*u**3 + 2/7.
2*(u + 1)*(2*u - 1)**2/7
Let v(m) be the first derivative of -1/24*m**4 - 1/9*m**3 - 9 - 1/12*m**2 + 0*m. Factor v(p).
-p*(p + 1)**2/6
Factor 2/5*d**3 + 0*d**2 + 0*d + d**4 + 0.
d**3*(5*d + 2)/5
Let c = 1/119 - -101/119. Let q = c - 16/35. Factor 2/5 + 0*b - q*b**2.
-2*(b - 1)*(b + 1)/5
Let y be 26/(-91) - 38/(-35). Let b(q) be the first derivative of 6/25*q**5 + 2*q**3 - 9/5*q**2 + y*q + 1 - 11/10*q**4. Factor b(f).
2*(f - 1)**3*(3*f - 2)/5
Let l be (-27)/6*(-16)/36. Let g(b) be the first derivative of 2 + 3/4*b**4 + 0*b + 0*b**l + 3/10*b**5 + 1/2*b**3. Determine u, given that g(u) = 0.
-1, 0
Let k(s) be the third derivative of -s**8/1344 - s**7/420 + s**6/480 + s**5/120 - 2*s**2. Determine o so that k(o) = 0.
-2, -1, 0, 1
Let c(h) = -9*h**2 + h - 15. Let o(r) = 5*r**2 + 8. Let n(t) = 8*t**2 - 1. Let v be n(1). Let q(i) = v*o(i) + 4*c(i). Factor q(g).
-(g - 2)**2
Let x(u) be the first derivative of u**6/75 - u**4/15 + u**2/5 + 7*u + 3. Let h(p) be the first derivativ