*3 - 1/2*j**2 + 0*j + y = 0.
-1, 0
Find n such that 12*n**2 + 0*n**3 + 9*n - n**3 - n**3 + 5*n**3 = 0.
-3, -1, 0
Find b such that 3 - 23*b**3 + b**4 + 22*b - 7*b**3 + 22*b**2 + 1 - 19*b**4 = 0.
-2, -1/3, 1
Let z be 4/(-15)*((3 - 3) + -3). Solve -2/5 - 1/5*g**3 - z*g**2 - g = 0 for g.
-2, -1
Let g(l) = l**4 - 2*l**3 - 2*l**2 + 2*l - 1. Let m(p) = -4*p**4 + 9*p**3 + 8*p**2 - 9*p + 5. Let z(t) = 18*g(t) + 4*m(t). Factor z(h).
2*(h - 1)**2*(h + 1)**2
Let g be 0/((-9)/3) - -4. Factor 0*v**3 + 0 + 4/5*v - 6/5*v**2 + 2/5*v**g.
2*v*(v - 1)**2*(v + 2)/5
Let l(y) be the second derivative of -2/9*y**3 + 0 + 1/12*y**5 + 1/90*y**6 - 8*y + 1/6*y**4 - 4/3*y**2. Factor l(a).
(a - 1)*(a + 2)**3/3
Let z = -127 + 1021/8. Let x(m) be the first derivative of -1 + 0*m + 1/2*m**2 + z*m**4 - 7/6*m**3. Factor x(n).
n*(n - 1)*(5*n - 2)/2
Let y(g) = 25*g**2 + 12*g - 3. Let f(r) be the third derivative of -r**5/5 - r**4/4 + r**3/3 + r**2. Let j(a) = -5*f(a) - 2*y(a). Factor j(d).
2*(d + 1)*(5*d - 2)
Let l(g) be the third derivative of g**8/10080 + g**5/30 - 3*g**2. Let b(n) be the third derivative of l(n). Factor b(y).
2*y**2
Suppose j = 3*c + 2*j - 1, -2 = 2*c - 2*j. Let t = 19 - 16. Find h such that h**t + h**4 + 1/3*h**2 + c*h + 1/3*h**5 + 0 = 0.
-1, 0
Let k(v) be the third derivative of -v**5/60 - v**4/4 + 7*v**3/6 + 3*v**2. Let f(d) = d**2 - 1. Let j(b) = 3*f(b) + k(b). Factor j(u).
2*(u - 2)*(u - 1)
Factor 3/4*o**2 + 5/4*o**3 + 0 - 9/4*o + 1/4*o**4.
o*(o - 1)*(o + 3)**2/4
Let f(h) be the first derivative of -h**4/6 + 10*h**3/9 - 7*h**2/3 + 2*h + 13. Determine w so that f(w) = 0.
1, 3
Suppose 4*x + 4*t = -4, -3*t - 11 - 6 = -4*x. Factor 4/5 + 2*f + 8/5*f**x + 2/5*f**3.
2*(f + 1)**2*(f + 2)/5
Determine c, given that 50/3 + 10*c + 2/15*c**3 + 2*c**2 = 0.
-5
Let x(t) = 2*t - 20. Let s be x(10). Let b(l) be the second derivative of 1/42*l**4 + 0 + s*l**2 + l + 2/21*l**3. Solve b(h) = 0.
-2, 0
Let h(t) = 4*t**3 + 2*t - 2. Let m be h(1). Determine q, given that -4*q**5 - 4*q**m + 4*q**2 - 228 + 4*q**3 + 228 = 0.
-1, 0, 1
Suppose -2*s = 6, 2*n = -n - 2*s. Suppose -k - 8 = -4*j, n*k = 5*j - 11 + 1. Suppose -2/5 + 2*l - 8/5*l**j = 0. Calculate l.
1/4, 1
Let y = -2 + 2. Let -1/4*a**3 + 1/4*a**2 + y + 0*a = 0. Calculate a.
0, 1
Let w(r) = r**3 + 4*r**2 + 4*r. Let k be w(-2). What is i in k*i**2 - 2/5 + 4/5*i - 4/5*i**3 + 2/5*i**4 = 0?
-1, 1
Let g(i) be the second derivative of -4/3*i**2 + 0 - 6*i + 1/6*i**4 + 0*i**3 + 1/30*i**5. Factor g(b).
2*(b - 1)*(b + 2)**2/3
Let u(f) = 10*f**2 - 9*f + 3. Let y be u(1). Factor s - 1/2*s**y + 2*s**3 - 5/2*s**2 + 0.
-s*(s - 2)*(s - 1)**2/2
Factor 3/2*l + 1/2*l**2 + 0.
l*(l + 3)/2
Let i(q) be the second derivative of -q**6/30 + 9*q**5/20 - 7*q**4/12 - 3*q**3/2 + 4*q**2 - 17*q - 3. Factor i(a).
-(a - 8)*(a - 1)**2*(a + 1)
Let c(n) = n**4 + n**3 - n - 1. Let y(z) = 2*z**4 - 4*z**3 - 12*z**2 - 12*z - 6. Let l(h) = 4*c(h) - y(h). Factor l(s).
2*(s + 1)**4
Suppose 2*g + 3*g - 55 = 0. Suppose h + 4*a = -g + 3, a - 55 = -5*h. Factor -10*x**4 + 3*x**5 - 6*x**2 + 0*x**4 + 5*x + h*x**3 - 4*x.
x*(x - 1)**3*(3*x - 1)
Let x be 0 - ((-1 - -4) + -1)*-1. Let t be (-3)/((-9)/4) - 1. Factor -t*u**x + 1/3 + 0*u.
-(u - 1)*(u + 1)/3
Let h(a) = -a**4 + 4*a**3 - 5*a**2 - 5. Let x(k) = k**4 - 6*k**3 + 7*k**2 + 7. Let p(q) = 7*h(q) + 5*x(q). Factor p(f).
-2*f**3*(f + 1)
Let z be (0/2)/(8/(-8)). Let j = -10/13 - -136/143. Factor j*u**2 + z + 0*u + 2/11*u**3.
2*u**2*(u + 1)/11
Let v(j) be the third derivative of 0*j + 0 - 1/40*j**5 + 0*j**3 - 1/240*j**6 - 1/24*j**4 - 3*j**2. Factor v(i).
-i*(i + 1)*(i + 2)/2
Let l(g) = 6*g**4 + 12*g**3 + 18*g**2 + 6*g + 3. Let o(a) = -5*a**4 - 12*a**3 - 17*a**2 - 6*a - 2. Let z(n) = -2*l(n) - 3*o(n). Find v such that z(v) = 0.
-2, -1, 0
Find i such that -24/7 + 3*i + 3/7*i**2 = 0.
-8, 1
Let m(y) be the first derivative of 1/3*y**2 - 2/27*y**3 - 4/9*y - 2. Find l, given that m(l) = 0.
1, 2
Let m = 16 + -18. Let u be 7*2/(-14)*m. Solve 1/4*o**3 + 1/4*o + 0 - 1/2*o**5 - 3/4*o**4 + 3/4*o**u = 0 for o.
-1, -1/2, 0, 1
Solve 4/3*x + 6*x**4 - 32/3*x**3 + 0 + 10/3*x**2 = 0.
-2/9, 0, 1
Let s(k) be the first derivative of -k**3/4 - 3*k**2/8 + 3*k/2 + 5. Determine y so that s(y) = 0.
-2, 1
Suppose 0*x = 6*x - 12. Let y(t) be the second derivative of -5*t + 2/135*t**6 + 1/189*t**7 + 1/90*t**5 + 0 + 0*t**x + 0*t**3 + 0*t**4. Factor y(h).
2*h**3*(h + 1)**2/9
Let j(k) = k**3 + k**2 + k. Let s(h) = 8*h**3 + 2*h**2 + 5*h. Let p(x) = 5*j(x) - s(x). Suppose p(d) = 0. What is d?
0, 1
Let l(y) = y**3 + y**2 - y. Let p be l(0). Let q(u) be the second derivative of -u + 1/12*u**4 - 1/30*u**6 + 0*u**2 + p*u**3 + 0*u**5 + 0. Factor q(z).
-z**2*(z - 1)*(z + 1)
Suppose -2*y = -3*a + 20, a + a - 2*y = 16. Factor 19*u**3 - 56*u**2 - 10*u**3 + 11*u - 42*u + 7*u**3 - a.
(u - 4)*(4*u + 1)**2
Let p(h) be the first derivative of -2*h**3/21 + 4*h**2/7 - 8*h/7 + 2. Determine x, given that p(x) = 0.
2
Find y such that -15/4*y + 0 + 5/4*y**2 = 0.
0, 3
Let r(a) be the second derivative of -a**7/105 - a**6/20 - a**5/15 - a**2 + 2*a. Let x(l) be the first derivative of r(l). Factor x(s).
-2*s**2*(s + 1)*(s + 2)
Let m be ((-5)/75)/((-3)/10). Factor -m*v**3 + 2/9*v + 2/9*v**2 - 2/9.
-2*(v - 1)**2*(v + 1)/9
Let s(w) be the first derivative of w**6/21 + 2*w**5/35 - 3*w**4/14 - 2*w**3/21 + 2*w**2/7 + 1. Determine z so that s(z) = 0.
-2, -1, 0, 1
Factor -2/7*g**2 + 0 - 8/7*g.
-2*g*(g + 4)/7
Let u(s) be the first derivative of -7/60*s**6 + 0*s - s**2 + 3 - 2/3*s**3 - 11/12*s**4 - 8/15*s**5. Let w(l) be the second derivative of u(l). Factor w(d).
-2*(d + 1)**2*(7*d + 2)
Let k(o) = -o**2 - 6*o + 2. Let u be k(-6). Let t = 4 - u. Let -2*w - w**2 - 2*w**2 - w**t + 3*w**2 = 0. What is w?
-2, 0
Let -3*c - 4 + 7 + c**2 - 1 = 0. Calculate c.
1, 2
Let u(y) be the first derivative of -8/3*y**6 - 8*y**5 + 0*y - y**2 - 9*y**4 - 2 - 14/3*y**3. Determine c, given that u(c) = 0.
-1, -1/2, 0
Let f(r) be the second derivative of r**5/60 + r**4/4 + 4*r**3/3 + 8*r**2/3 - 18*r. Factor f(p).
(p + 1)*(p + 4)**2/3
Suppose 9*q - 10*q + 4 = 0. Let v(f) be the first derivative of 2*f**2 + q*f + 1/3*f**3 - 3. What is p in v(p) = 0?
-2
Solve 0 + 3/4*b**3 - 5/4*b**2 + 1/2*b = 0 for b.
0, 2/3, 1
Let a = -2 + 6. Let t(k) = -2*k**5 - 4*k**2 - 6*k. Let u(l) = -2*l**5 + l**3 - 3*l**2 - 5*l. Let b(j) = a*u(j) - 3*t(j). Let b(c) = 0. What is c?
-1, 0, 1
Let r be ((-4)/20)/(94/(-215)). Let m = r + 2/47. Solve -m*q**2 - 1/2*q + 1/2 + 1/2*q**3 = 0.
-1, 1
Let j(c) = 3*c**2 - 2*c + 3. Let k(q) = q**2 + q + 1. Let p(m) = m**2 - 6*m + 1. Let u(f) = -3*k(f) - p(f). Let s(y) = -5*j(y) - 4*u(y). Factor s(w).
(w - 1)**2
Solve -4/13*o**3 + 8/13*o**2 - 4/13 + 2/13*o - 4/13*o**4 + 2/13*o**5 = 0.
-1, 1, 2
Let o(y) = 6*y**3 - 4*y**2 - 7*y - 4. Let l(p) = -5*p**3 + 3*p**2 + 6*p + 4. Let x(r) = 7*l(r) + 6*o(r). What is s in x(s) = 0?
-1, 2
Let 3*f**2 + f**2 + 46 + 40 + 56*f + 110 = 0. Calculate f.
-7
Suppose -19 - 20*o**4 - 2*o**3 + 4 + 95*o + 35*o**3 - 165*o**2 + 72*o**3 = 0. What is o?
1/4, 1, 3
Let t(d) = 0*d**2 - d**3 + 11*d**4 + 0*d - 5*d**2 + 5 + 4*d**2 + d. Let k(z) = -39*z**4 + 3*z**3 + 3*z**2 - 3*z - 18. Let s(v) = -5*k(v) - 18*t(v). Factor s(p).
-3*p*(p - 1)**2*(p + 1)
Suppose -1/8*t**3 - 1/8*t**2 + 1/4*t + 0 = 0. What is t?
-2, 0, 1
Let j(m) be the third derivative of -m**5/150 - m**4/12 - 2*m**3/5 + 15*m**2. What is d in j(d) = 0?
-3, -2
Suppose 28 = -2*v - 4. Let b be 24/14 - v/56. Find w, given that -3*w**2 - 16*w - 2 - 35*w**b + 6*w**2 = 0.
-1/4
Let o(w) be the first derivative of -w**6/15 + w**5/10 + w**4/2 - 5*w**3/3 + 2*w**2 - w + 1. Let c(i) be the first derivative of o(i). Factor c(d).
-2*(d - 1)**3*(d + 2)
Let p be ((-13)/(-26))/((-35)/(-42)). Suppose -p + 3/5*l**3 - 9/5*l**2 + 9/5*l = 0. What is l?
1
Let r(o) be the second derivative of o**8/23520 - o**7/2940 + o**6/840 - o**5/420 - o**4/12 + 6*o. Let z(s) be the third derivative of r(s). Factor z(v).
2*(v - 1)**3/7
Let n(x) be the first derivative of x**4/54 - 3*x + 4. Let z(u) be the first derivative of n(u). Let z(k) = 0. What is k?
0
Let k be (100/80)/((-15)/(-18)). Factor 0*x - k*x**2 + 0.
-3*x**2/2
Suppose 9*w - 1 - 97/4*w**2 - 4*w**4 + 18*w**3 = 0. Calculate w.
1/4, 2
Let b(r) be the third derivative of -9*r**6/280 - r**5/20 + 5*r**4/14 - 2*r**3/7 - 16