l(g) = -9*g**3 + 5*g**2. Let h(k) = -26*k**3 + 15*k**2. Let j(i) = 4*h(i) - 11*l(i). Factor j(x).
-5*x**2*(x - 1)
Let d(n) = -2*n**4 - 2*n**2 - 6*n + 10. Suppose 0*v = 2*v + 26. Let z(j) = -4*j**4 - j**3 - 4*j**2 - 12*j + 21. Let t(l) = v*d(l) + 6*z(l). Factor t(b).
2*(b - 2)*(b - 1)**2*(b + 1)
Let l(f) be the second derivative of 5*f**4/12 + 25*f**3/6 + 15*f**2 - 16*f. Find b, given that l(b) = 0.
-3, -2
Let h = 1 + 2. Suppose 0 = h*y - 2*y - 2. Solve 0*l + 0*l**y + 1/2*l**3 - 3/2*l**4 + 0 = 0.
0, 1/3
Suppose 0 = 3*g + 3*m - 36, 3*g + 6*m - 5*m - 44 = 0. Suppose -5*q + g = -q. Determine x so that 3*x**3 + 11*x**5 - 2*x**q - 5*x**5 + 11*x**4 = 0.
-1, -1/2, 0
Let z(i) be the first derivative of i**3 + 12*i**2 + 48*i + 8. Find g such that z(g) = 0.
-4
Let i = -3 - -5. Solve t**3 + 4*t**i - 2*t**3 - 4*t**2 + t**4 = 0.
0, 1
Factor -2/15*v**5 - 8/15*v**4 + 0*v + 0*v**2 - 8/15*v**3 + 0.
-2*v**3*(v + 2)**2/15
Let b(z) be the third derivative of 0*z**3 + 1/210*z**6 - 1/210*z**5 - 1/735*z**7 + 0*z - 2*z**2 + 0 + 0*z**4. Determine n, given that b(n) = 0.
0, 1
Let s(j) = -6*j**2 - 39*j - 111. Let z(d) = 11*d**2 + 77*d + 221. Let v(k) = -5*s(k) - 3*z(k). Factor v(u).
-3*(u + 6)**2
Factor 0 - 1/2*g + 1/4*g**2.
g*(g - 2)/4
Let v(p) be the second derivative of -p**7/2520 - p**6/360 - 5*p**3/6 - p. Let g(h) be the second derivative of v(h). Factor g(c).
-c**2*(c + 3)/3
Suppose 0 = 7*o - 2*o + 4*y - 18, 4*o + 5*y = 9. Let 9*m + 2*m**3 + o*m - 17*m = 0. Calculate m.
-1, 0, 1
Let k(r) = -22*r + 22. Let s be k(1). Let m be 1/6*(3 + -1). Factor s*v - m*v**4 - 1/3*v**3 + 0*v**2 + 0.
-v**3*(v + 1)/3
Let b(i) be the first derivative of -i**5/90 - i**4/36 + 2*i**2 + 1. Let d(j) be the second derivative of b(j). What is a in d(a) = 0?
-1, 0
Let s be ((0/4)/1)/2. Let q(t) be the second derivative of 1/120*t**6 + 0*t**3 + 1/48*t**4 + 1/40*t**5 + s*t**2 + 2*t + 0. Factor q(u).
u**2*(u + 1)**2/4
Suppose 2*c - 6 = 0, -10 = -k - 5*c + 11. Let q be (-2)/(-6) - (-16)/k. What is o in 0*o**2 - 2/3*o**4 + 0 + 0*o + 1/3*o**q + 1/3*o**5 = 0?
0, 1
Let h be 170/48*(2 - 4). Let n = h - -31/4. Find g, given that 0 - n*g**2 + 1/3*g**3 + 1/3*g = 0.
0, 1
Solve -2*w**5 + 4*w**3 - 10*w**4 + 12*w**4 - 4*w**4 = 0 for w.
-2, 0, 1
Let z(f) be the third derivative of f**2 + 1/840*f**7 - 1/96*f**4 + 0 - 1/240*f**5 + 0*f**3 + 1/480*f**6 + 0*f. Let z(n) = 0. Calculate n.
-1, 0, 1
Let k(y) be the second derivative of -y**8/3360 + y**7/420 - y**6/180 - y**3/2 - 6*y. Let b(t) be the second derivative of k(t). Let b(z) = 0. What is z?
0, 2
Let z be (2/(-36))/((-4)/16). Let x(n) be the first derivative of -z*n + 2 + 0*n**2 + 2/27*n**3. Solve x(s) = 0.
-1, 1
Let v(x) = -x**2 + 12*x + 7. Let f(g) = g + 1. Let q(y) = -5*f(y) + v(y). Let t be q(7). Factor a - 2*a**2 - a**3 + 9 + 3*a**t - 10.
-(a - 1)**2*(a + 1)
Let z = 1434 - 11457/8. Determine x, given that 0 + 0*x**2 + 3/4*x**3 + 0*x - z*x**4 = 0.
0, 2/5
Factor 2*k + 11*k**3 - 13*k**3 + 0*k**2 + 0*k**2.
-2*k*(k - 1)*(k + 1)
Let s(k) = k**3 + 1. Suppose -u + 0*u = -10. Let j(x) = -6*x**3 + 3*x**2 - 3*x - 4. Let q = 3 - 1. Let c(h) = q*j(h) + u*s(h). Solve c(v) = 0 for v.
1
Let t(i) = 4*i - 5*i - 1 + 6*i**2 + i. Let f be t(-1). Factor -9*v**5 + 0*v**5 + 8*v**f + v**3.
-v**3*(v - 1)*(v + 1)
Let f(j) be the third derivative of j**7/1260 + j**6/270 - j**5/180 - j**4/18 - j**3/6 - 2*j**2. Let m(c) be the first derivative of f(c). Factor m(s).
2*(s - 1)*(s + 1)*(s + 2)/3
Let g(y) be the first derivative of 0*y**3 + 5 + 3/10*y**2 + 0*y + 0*y**5 - 3/10*y**4 + 1/10*y**6. Suppose g(c) = 0. Calculate c.
-1, 0, 1
Find q, given that 68*q**2 + 2 - 2 - q**3 - 69*q**2 = 0.
-1, 0
Let l be (1 + -1)/1 - (-24)/48. Factor 1/4*z - l*z**2 + 0 + 1/4*z**3.
z*(z - 1)**2/4
Suppose 0 = 2*d + 2*d - 12. Determine j, given that 2*j**d + 20*j**2 - 11*j**2 - 2*j - 9*j**2 = 0.
-1, 0, 1
Let s = 481/18 - 53/2. Suppose 0*f + 0 + 2/9*f**4 - 4/9*f**3 + s*f**2 = 0. Calculate f.
0, 1
Let l = 3 + -3. Suppose 0 = -j - l*j + 4. Factor r**3 - 2*r**3 + r**3 + 2*r - j*r**3 + 2*r**5.
2*r*(r - 1)**2*(r + 1)**2
Factor -1/2 + 1/4*c**3 + 1/2*c**2 - 1/4*c.
(c - 1)*(c + 1)*(c + 2)/4
Let p(j) be the second derivative of 0*j**2 + 0*j**3 - 1/30*j**5 - 1/63*j**7 - 2/45*j**6 + 0 + 0*j**4 + 5*j. Factor p(t).
-2*t**3*(t + 1)**2/3
Let o(p) be the third derivative of 0*p + 0*p**3 - 17/300*p**6 - 8/75*p**5 - 1/15*p**4 - 5*p**2 + 0 - 1/105*p**7. Find b, given that o(b) = 0.
-2, -1, -2/5, 0
Let w = -21 - -30. Let m(p) = p - 9. Let h be m(w). Factor -1/2*t**3 + 0*t + 0*t**2 + 1/2*t**4 + h.
t**3*(t - 1)/2
Let u(c) be the second derivative of -3*c**5/20 - c**4/2 - 43*c. Find p such that u(p) = 0.
-2, 0
Suppose -2*h + 19 = -p, -3*h + 3*p = -p - 26. Suppose 8 - h = -j. Factor -2/7 + 2/7*v**j + 0*v.
2*(v - 1)*(v + 1)/7
Let k be (-5)/(-20) - 6/(-8). Suppose -1 - k = -l. Factor 0*b - 1/2*b**l + 1/4*b**3 + 0.
b**2*(b - 2)/4
Let i(h) be the first derivative of h**4/16 + h**3/4 + h**2/4 - 61. Determine v so that i(v) = 0.
-2, -1, 0
Suppose -4/3 + 22/3*k - 6*k**2 = 0. Calculate k.
2/9, 1
Let c be (-4)/(-6) - (-48)/9. Let v = -4 + c. Determine n so that 2*n**3 - 2*n + 0*n**2 + 4*n**2 + 2*n + v*n = 0.
-1, 0
Factor 4/3*y - 2/3*y**2 + 0.
-2*y*(y - 2)/3
Suppose -o = -5*b - 1, -2*b + 6*o = o + 5. Let c be 1 - (-5 + 3)/(-10). Factor -2/5*w**2 + b*w - c*w**3 + 0.
-2*w**2*(2*w + 1)/5
Let j(k) be the third derivative of -k**9/1008 + k**7/280 - k**3/3 + k**2. Let r(w) be the first derivative of j(w). Factor r(o).
-3*o**3*(o - 1)*(o + 1)
Let w(j) be the second derivative of j**4/114 + 2*j**3/19 + 9*j**2/19 - 23*j. Factor w(m).
2*(m + 3)**2/19
Suppose 8 = 5*u - 7. Factor 1 - 3*d - u - d**3 + 6*d.
-(d - 1)**2*(d + 2)
Let c = 269 - 266. Factor d + 8/3*d**2 + d**c - 2/3.
(d + 1)*(d + 2)*(3*d - 1)/3
Let r = -35 + 37. Solve 0 - 4/7*o**r - 2/7*o**3 - 2/7*o = 0 for o.
-1, 0
Let u = -7 - -8. Let w(o) = -o**2 - o. Let l(d) = -4 - 8*d - 6*d**2 + 4. Let x(z) = u*l(z) - 4*w(z). Determine b, given that x(b) = 0.
-2, 0
Let g(u) be the first derivative of 0*u - 3 + u**2 + 8/3*u**3. Let g(i) = 0. Calculate i.
-1/4, 0
Factor -25*f**2 - 3*f - 8 - 5*f + 23*f**2.
-2*(f + 2)**2
Let x(v) be the second derivative of 3*v**4/4 + 11*v**3/6 + 21*v**2/2 - 3*v. Let b(s) = -44*s**2 - 56*s - 104. Let t(y) = -5*b(y) - 24*x(y). Factor t(n).
4*(n + 2)**2
Suppose 3*k**2 + 4*k + 9*k**2 - 8*k**2 - 48 = 0. What is k?
-4, 3
Let t be (2/25)/((-9)/(-90)). Factor -6/5*j**2 + 2/5 + 0*j + t*j**3.
2*(j - 1)**2*(2*j + 1)/5
Suppose 2*f - 5 = m + 3, 0 = -4*m + 3*f - 12. Suppose -3*i + 18 = 3*r, m = -5*i + 4*r + 4 - 1. Factor 7*p**4 + 2*p**5 - i*p**4 + 2*p**3 + 4*p**3 - 4*p**3.
2*p**3*(p + 1)**2
Let l(p) = 3*p**3 - 2*p + 1. Let c be l(1). Suppose -3*a + c*a**3 - a + 2*a + 2 - 2*a**2 = 0. Calculate a.
-1, 1
Let z(m) = -m + 1. Let b be z(-1). Find d such that -4*d + 1 - 3*d**2 + 4*d**2 + b*d = 0.
1
Factor -4*n**3 + 11 - 3*n**2 - 11 - n**4.
-n**2*(n + 1)*(n + 3)
Find p such that 6*p**4 + 28*p + 36*p**2 - 57*p**3 + 8 + 77*p**3 - 2*p**4 = 0.
-2, -1
Let s = 33/16 - 275/48. Let z = 4 + s. Factor 1/3 - 1/3*l - 2/3*l**2 - 1/3*l**5 + 2/3*l**3 + z*l**4.
-(l - 1)**3*(l + 1)**2/3
Suppose -4*g - 20 = 0, v - 2*g - 2 = 5*v. Factor 0*c + 0 - 1/4*c**3 + 1/4*c**v.
-c**2*(c - 1)/4
Let t(b) = -2*b**3 - b. Let r be t(1). Let l be 7 + r + (1 - 3). Factor 0 - 1/3*f**3 + 1/3*f + 0*f**l.
-f*(f - 1)*(f + 1)/3
Let s(n) be the first derivative of -2*n**3 - 2*n + 1/2*n**4 + 3*n**2 - 1. Factor s(h).
2*(h - 1)**3
Let i be -2 - ((-2)/(-1) + -10). Suppose 4*c = i + 2. Let 2 + 4*b**c - 6*b**4 - 2 - 2*b**5 - 4*b**3 + 6*b + 2 = 0. What is b?
-1, 1
Let t be (-2)/(-13) - 2*128/(-364). Factor -8/7 - 8/7*f**3 + t*f**2 + 8/7*f + 2/7*f**4.
2*(f - 2)**2*(f - 1)*(f + 1)/7
Let b be (-5 - -2) + 4 - 3. Let u(q) = -5*q**3 - 3*q**2 - 3*q - 2. Let t(w) = -4*w**3 - 4*w**2 - 4*w - 2. Let f(n) = b*u(n) + 3*t(n). Solve f(z) = 0.
-1
Let y(i) = i**3 - i**2 - i. Let o be (-11)/(-3) + (-2)/3. Let s(a) = 6*a**3 - 3*a**2 - 3*a. Let m(z) = o*y(z) - s(z). Factor m(h).
-3*h**3
Let a(o) be the first derivative of o**4/36 - o**3/27 + 17. Factor a(j).
j**2*(j - 1)/9
Let j = -13 - -21. Let v(f) = -6*f**4 - 2*f**3 + 14*f**2 + 2*f. Let s(i) = -i**4 - i**3 + i**2. Let x(y) = j*s(y) - v(y). Suppose x(l) = 0. What is l?
-1, 0
Let m be (-1 - 3/(-5))/((-18)/10).