*4/2 - 10*k**3 - 15*k**2/2 + 5*k + 33. Let w(s) = 0. What is s?
-1, 1/3
Let v(w) be the second derivative of 16*w**7/105 - 8*w**6/15 + w**5/2 + w**4/6 - w**3/3 - w**2/5 + 3*w. Solve v(f) = 0.
-1/4, 1
Let l(q) = -12*q**4 - 28*q**3 - 24*q**2 - 8*q - 8. Let n(m) = 8*m**4 + 19*m**3 + 16*m**2 + 5*m + 5. Let o(u) = 5*l(u) + 8*n(u). Factor o(c).
4*c**2*(c + 1)*(c + 2)
Let s = 424/3 + -140. Factor 0*m + 0 - 2/3*m**2 - s*m**4 - 2*m**3.
-2*m**2*(m + 1)*(2*m + 1)/3
Find a, given that -11*a**3 - 7*a**4 + 4 + 5*a**4 - 2*a**2 + 5*a**3 + 6*a = 0.
-2, -1, 1
Suppose 5 + 15 = 5*j. Suppose -n**2 - n - n**3 + n**j + 3*n**3 - 3*n**3 + 2*n = 0. Calculate n.
-1, 0, 1
Let k be (-2)/7 + 576/1869. Let n = 346/445 + k. Factor -2/5*o**2 + n*o**3 + 2/5*o**4 + 0 - 4/5*o.
2*o*(o - 1)*(o + 1)*(o + 2)/5
Find l, given that 2/3 + 4/3*l**2 + 4/3*l**3 - 2*l**4 + 2/3*l**5 - 2*l = 0.
-1, 1
Let m(d) be the first derivative of 1/2*d**2 - 4 + 1/60*d**4 + 0*d**3 + 0*d - 1/150*d**5. Let v(g) be the second derivative of m(g). Solve v(l) = 0 for l.
0, 1
Let d(p) = -p**3 + 2*p**2 + 4*p + 1. Let s be d(3). Let v be ((-5)/(-15))/(1/s). Solve 0 - 2/3*y**2 - 2/3*y**3 + v*y = 0 for y.
-2, 0, 1
Factor -3*g - 33/5*g**2 - 9/5*g**3 + 9/5.
-3*(g + 1)*(g + 3)*(3*g - 1)/5
Let t(p) = -20*p**2 - 8*p - 5. Let a be 72/54 + (-2)/(-3). Let w(n) = 10*n**2 + 4*n + 2. Let d(c) = a*t(c) + 5*w(c). Find s such that d(s) = 0.
-2/5, 0
Factor -36/5*q - 8/5 + 4*q**2.
4*(q - 2)*(5*q + 1)/5
Let z(u) = -u**2 - 12*u + 16. Let k be z(-13). Let y(g) be the first derivative of 2/3*g**k + 2/3*g**2 + 2/9*g + 1. What is t in y(t) = 0?
-1/3
Let c(w) = -1. Let j(m) = -m**2 + 3*m - 4. Let g(d) = -20*c(d) + 5*j(d). Let g(i) = 0. What is i?
0, 3
Suppose 0 = -5*r - 4*w + 16, 4*w = 4*r - 0*r + 16. Solve 3/2*x**2 + r*x + 0*x**3 - 3/2*x**4 + 0 = 0 for x.
-1, 0, 1
Let c = -1059 + 1062. Factor -16/9 - 2/9*i**c - 8/3*i - 4/3*i**2.
-2*(i + 2)**3/9
Let d(v) be the first derivative of -v**5/20 - v**4/4 - v**3/2 + 2*v**2 + 3. Let n(a) be the second derivative of d(a). Let n(w) = 0. What is w?
-1
Factor 0*d + 0 + 1/5*d**4 + 0*d**3 + 0*d**2.
d**4/5
Let n = 54 + -52. Let -4/3*l + 0 + n*l**2 + 10/3*l**3 = 0. What is l?
-1, 0, 2/5
Let v = 2 - -1. Let f(d) = 2*d**2 + 1 - v + 0 + 3*d. Let g(x) = -x**2 - x + 1. Let l(q) = -f(q) - 3*g(q). Suppose l(y) = 0. What is y?
-1, 1
Determine h, given that -2/3 - 2/3*h**3 + 2/3*h**2 + 2/3*h = 0.
-1, 1
Let c = -1477/5 - -296. Solve 1/5*z + 0 + 1/5*z**4 + c*z**3 + 3/5*z**2 = 0 for z.
-1, 0
Let n(u) be the third derivative of -u**9/7560 + u**8/3360 + u**7/1260 - u**6/360 + u**4/24 + 2*u**2. Let t(f) be the second derivative of n(f). Factor t(x).
-2*x*(x - 1)**2*(x + 1)
Let s = 33/68 + 1/68. Find u such that -1/4*u + 0 - 1/4*u**3 + s*u**2 = 0.
0, 1
Solve -3 + 30*f**2 - 32*f**2 - 16*f + 3 = 0 for f.
-8, 0
Suppose o = -y, -5*y = 2*o - 11 + 2. Factor 0 - 1/3*c**5 + 4/3*c**4 - 4*c**2 - 3*c + 2/3*c**y.
-c*(c - 3)**2*(c + 1)**2/3
Let l = 5 - 8. Let j be 8/(-2) - (l + -1). Factor -2/5*m**5 + 6/5*m**3 + 0*m + j*m**4 + 0 + 4/5*m**2.
-2*m**2*(m - 2)*(m + 1)**2/5
Let n(o) = -124*o**3 + 52*o**2 + 72*o. Let y(j) = -19*j**3 + 8*j**2 + 11*j. Let z(t) = 5*n(t) - 32*y(t). Factor z(f).
-4*f*(f - 1)*(3*f + 2)
Suppose 0 = 4*g - 5*j + 8, 0 = 3*g - 2*j - 2 + 1. Factor -1/4*x**2 + 0*x - 1/4*x**g + 0.
-x**2*(x + 1)/4
Let b(n) be the second derivative of -3/10*n**3 + 0 - 3/20*n**4 - 3/100*n**5 + 2*n - 3/10*n**2. Suppose b(w) = 0. Calculate w.
-1
Let a(s) be the second derivative of 0*s**2 + 0 - 1/12*s**4 + s - 1/9*s**3 - 1/60*s**5. Determine k, given that a(k) = 0.
-2, -1, 0
Let s(o) be the first derivative of o**4/42 - 2*o**3/7 + 8*o**2/7 - 40*o/21 - 62. Let s(h) = 0. What is h?
2, 5
Let o(y) be the second derivative of -y**6/20 + 3*y**5/20 + y**4/2 - 2*y**3 + 53*y. Factor o(j).
-3*j*(j - 2)**2*(j + 2)/2
Let m(c) = 2*c**3 + 2. Let o(p) = -4*p**3 - p - 5. Let q(z) = 5*m(z) + 2*o(z). Solve q(w) = 0 for w.
-1, 0, 1
Suppose -j + 9 = 2*m, 0 = -2*m - 0*m - 2*j + 14. Let n be 0/(0 - (-2)/1). Find w, given that -2/7*w**3 + n*w + 0 + 2/7*w**m = 0.
0, 1
Let s(q) be the third derivative of -q**6/30 - q**5/15 - 13*q**2. Factor s(t).
-4*t**2*(t + 1)
Let b be (-1 - 5)/((-9)/9). Suppose 3*c = 4*t - b, 5 = c + 2*t - 3. Factor -8/3*f + 4*f**c + 2/3*f**4 - 8/3*f**3 + 2/3.
2*(f - 1)**4/3
Let l(q) be the second derivative of 3/8*q**4 + 3/10*q**5 + 1/20*q**6 - 3*q**2 + 0 + 7*q - q**3. Let l(r) = 0. Calculate r.
-2, -1, 1
Let i(k) be the third derivative of k**5/60 - k**4/12 - 29*k**2. Factor i(g).
g*(g - 2)
Let i = -25 + 27. Find v such that 8/3 + 8/3*v**4 + 1/3*v**5 + 28/3*v + 38/3*v**i + 25/3*v**3 = 0.
-2, -1
Factor 4/7*o - 3/7*o**2 + 4/7 - 1/7*o**4 - 4/7*o**3.
-(o - 1)*(o + 1)*(o + 2)**2/7
Let r(q) be the third derivative of -1/240*q**6 + 0*q - 7*q**2 - 1/6*q**4 + 0 + 1/24*q**5 + 1/3*q**3. Factor r(f).
-(f - 2)**2*(f - 1)/2
Let d(b) be the third derivative of 0 + 0*b + 1/420*b**8 + 1/30*b**6 - 1/30*b**3 + 1/30*b**5 + 0*b**4 + 1/70*b**7 + 4*b**2. Factor d(c).
(c + 1)**4*(4*c - 1)/5
Factor -3/2*q**2 + 2*q + 0.
-q*(3*q - 4)/2
Let c(l) = 8*l**3 - 5*l**2 - 4*l. Let i(k) = -47*k**3 + 31*k**2 + 24*k. Let x(v) = -34*c(v) - 6*i(v). What is d in x(d) = 0?
-2/5, 0, 2
Let n(b) be the third derivative of b**6/240 + b**5/40 + b**4/16 + b**3/12 - 23*b**2. Factor n(f).
(f + 1)**3/2
Let t(i) = -8*i**4 + 4*i**3 - 4*i**2 + 8*i. Let q(a) = -a**4 + a. Let s(y) = -12*q(y) + t(y). Factor s(z).
4*z*(z - 1)*(z + 1)**2
Let x(h) be the first derivative of -h**4/18 + 10*h**3/27 - 7*h**2/9 + 2*h/3 + 6. Suppose x(w) = 0. Calculate w.
1, 3
Let u(b) = 43*b - 213. Let t be u(5). Solve -3/2*a**t + 3/4*a + 3/2 - 3/4*a**3 = 0.
-2, -1, 1
Let f be (-700)/(-6)*12/10. Let t be ((-5)/(-3))/(f/56). Factor 2/3*d**2 + t*d + 0.
2*d*(d + 1)/3
Let t = -6 + 8. Suppose 3*d = 2 + 7. Factor -q**t - 2*q**3 + 2*q + d*q**5 - 2*q**3 + q**4 - q**3.
q*(q - 1)*(q + 1)**2*(3*q - 2)
Suppose 4*y + 37 + 11 = 0. Let c = -9 - y. Let 5*m**3 + 6*m - 3*m**c - 8*m = 0. Calculate m.
-1, 0, 1
Let t = 79/171 - 1/57. Suppose -4*w + 6 + 2 = 0. Suppose -14/9*x**2 - t + w*x = 0. What is x?
2/7, 1
Solve -4*h**5 - 10*h**4 + h - 8*h**3 - 304*h**2 + 302*h**2 - h = 0.
-1, -1/2, 0
Let v = -158 + 160. Let m(l) be the third derivative of 1/30*l**5 + 0*l + 1/105*l**7 + 0*l**3 + 0 - 3*l**v + 0*l**4 + 1/30*l**6. Factor m(i).
2*i**2*(i + 1)**2
Solve -z**5 + 4*z**3 + z**4 + z**3 - 4 - 8*z + 10*z**2 - 9*z**2 - 2*z**2 = 0.
-1, 2
Suppose -2*y = -7 - 5. Suppose -2*f**4 - 4*f**2 + 0*f**3 + y*f**3 - f**4 + f**2 = 0. What is f?
0, 1
Let t(r) be the first derivative of r**6/15 - 2*r**5/15 + r**4/15 + 5. Suppose t(z) = 0. What is z?
0, 2/3, 1
Find d such that 1/5*d**2 + 0*d - 4/5 = 0.
-2, 2
Let d = 7 + 3. Let o be 1/d + (-2)/(-5). Factor -o + z**2 + 1/2*z.
(z + 1)*(2*z - 1)/2
Factor -12/11*b + 18/11 + 2/11*b**2.
2*(b - 3)**2/11
Let c(j) = -j**2 + 3*j + 6. Let s be c(5). Let m = s - -8. Factor x**2 - 3*x**4 - x**3 - x**3 + 4*x**m + 0*x**2.
x**2*(x - 1)**2
Find x such that -2*x**3 - 3*x + 9*x**3 - 4*x**3 = 0.
-1, 0, 1
Let x(z) be the second derivative of z**5/40 - z**4/8 + z**3/4 - z**2/4 - 12*z. Factor x(l).
(l - 1)**3/2
Let o(b) be the third derivative of -b**8/1344 + b**7/420 + b**6/240 - b**5/30 + 7*b**4/96 - b**3/12 + 6*b**2. Factor o(y).
-(y - 1)**4*(y + 2)/4
Let h(q) be the first derivative of -q**4/16 + q**3/6 + 13. Factor h(u).
-u**2*(u - 2)/4
Let x(m) be the second derivative of 3*m**5/20 - 3*m**3/2 - 3*m**2 + m. Let x(n) = 0. Calculate n.
-1, 2
Let d(s) = -s**5 + s**4 + s. Let o = 1 - -1. Suppose -f - o = -1. Let y(z) = -2*z**5 + 7*z**4 + 6*z**3 + 4*z**2 + 4*z. Let t(x) = f*y(x) + 3*d(x). Factor t(m).
-m*(m + 1)**4
Let c(n) be the third derivative of n**7/105 + n**6/60 - n**5/10 - n**4/12 + 2*n**3/3 - 14*n**2. Suppose c(l) = 0. Calculate l.
-2, -1, 1
Let y(f) be the first derivative of f**5/10 + f**4/6 - f**3/3 - f**2 - 7*f + 5. Let v(w) be the first derivative of y(w). Let v(p) = 0. What is p?
-1, 1
Let b be (2166/(-10))/((-39)/(-15)). Let m = -83 - b. Solve m*f**2 + 10/13*f + 4/13 = 0.
-2, -1/2
Let q(g) be the first derivative of -2*g**6 - 46*g**5/5 - 12*g**4 + 2*g**3/3 + 12*g**2 + 8*g - 3. What is i in q(i) = 0?
-2, -1, -1/2, 2/3
Let y(u) be the second derivative of 1/6*u**3 + 0 - 1/20*u**5 + 0*u**4 + u + 0*u**2. Let y(f) = 0. What is