 18, 0 = u - 2*m - 3*m - 9. Let u*c + 0 + c + 6 - 3*c**2 - 3*c**4 + 4*c - 9*c**3 = 0. Calculate c.
-2, -1, 1
Solve -53 + 8*a**2 - 3*a**2 + 53 - 5*a = 0.
0, 1
Let x(d) = -3*d**5 + d**4 + 4*d**3 - d + 1. Let t(a) = -a**5 + a**3 + a**2. Let u = 8 + -9. Let z(m) = u*x(m) + 2*t(m). Factor z(v).
(v - 1)**3*(v + 1)**2
Let i(j) be the second derivative of 1/48*j**4 + 0 + 0*j**2 + 1/120*j**6 + j + 0*j**3 - 1/40*j**5. Determine q so that i(q) = 0.
0, 1
Let z(s) be the second derivative of -s**6/360 + s**5/60 - s**4/24 + s**3/3 - s. Let d(h) be the second derivative of z(h). Factor d(j).
-(j - 1)**2
Suppose -4*y = -3*y + 4*i + 26, 3*y - 2*i + 22 = 0. Let k(q) = q**2 + 9*q - 7. Let g be k(y). Factor w**g - w - 2*w**2 + 1 + 0*w + w**2.
(w - 1)**2*(w + 1)
Solve -1/2*l**2 + 1/2 - 1/4*l**3 + 1/4*l = 0.
-2, -1, 1
Let k(l) be the second derivative of -l - 16*l**3 - 1/10*l**5 + 0 - 2*l**4 - 64*l**2. Factor k(w).
-2*(w + 4)**3
Suppose -4*f = -7*f + 9. Let i = -169/2 + 89. What is a in 0 - a + a**2 + 15/4*a**f - i*a**4 = 0?
-1/2, 0, 2/3
Let l(x) be the first derivative of -2*x**5/5 - 3*x**4/2 - 4*x**3/3 + 27. Factor l(p).
-2*p**2*(p + 1)*(p + 2)
Let j(v) be the second derivative of -v**4/84 + v**3/42 - 6*v. Determine p, given that j(p) = 0.
0, 1
Let j(u) = -u**3 - 5*u**2 - 2*u - 3. Let k be j(-5). Factor -12*l**4 + l**3 - k*l**2 - 3*l**3 + 19*l**4 + 2*l.
l*(l - 1)*(l + 1)*(7*l - 2)
Suppose 4*h - 2 = 2. Let i be h/(-10) - (-12)/20. Suppose 0*p + i*p**2 + 0 = 0. Calculate p.
0
Let y(w) be the third derivative of -w**8/112 + w**7/70 + 3*w**6/40 - w**5/4 + w**4/4 - 4*w**2. Factor y(s).
-3*s*(s - 1)**3*(s + 2)
Let y(g) = 7*g**3 - 31*g**2 + 29*g - 5. Let d(s) = -35*s**3 + 156*s**2 - 147*s + 26. Let u(n) = 6*d(n) + 33*y(n). What is l in u(l) = 0?
1/7, 1, 3
Let l(x) = -7*x**3 + 10*x**2 - 3*x - 4. Let j(m) = 48*m**3 - 69*m**2 + 21*m + 27. Let q(n) = 4*j(n) + 27*l(n). Factor q(i).
3*i*(i - 1)**2
Let c(f) be the first derivative of -9/4*f**4 + 0*f - 1/2*f**6 - f**3 - 9/5*f**5 + 1 + 0*f**2. Let c(d) = 0. What is d?
-1, 0
Let x be (6/15)/(-6*(-1)/5). Determine j so that -2/3 - j - x*j**2 = 0.
-2, -1
Let l(k) be the first derivative of 4*k**3/21 - 10*k**2/7 - 24*k/7 - 27. Factor l(q).
4*(q - 6)*(q + 1)/7
Let t(d) be the first derivative of 2*d + 3 + 14/3*d**3 + 3/2*d**4 + 5*d**2. What is g in t(g) = 0?
-1, -1/3
Let p(o) = o**3 - o**2 - o - 1. Let n(t) = -2*t**5 + 10*t**4 - 24*t**3 + 20*t**2 + 2*t + 6. Let b(s) = n(s) + 6*p(s). Factor b(k).
-2*k*(k - 2)*(k - 1)**3
Let n(o) be the third derivative of -4*o**2 + 0*o**4 + 0*o**6 + 0*o - 1/420*o**7 + 0 - 1/12*o**3 + 1/60*o**5. Suppose n(s) = 0. What is s?
-1, 1
Let w(u) be the first derivative of 25*u**4/2 + 30*u**3 + 24*u**2 + 8*u - 4. Factor w(s).
2*(s + 1)*(5*s + 2)**2
Factor 1 + 1/2*k - 1/2*k**3 - 3/2*k**2 + 1/2*k**4.
(k - 2)*(k - 1)*(k + 1)**2/2
Let l(b) be the second derivative of -b**7/2 + 4*b**6 - 153*b**5/20 - 9*b**4/2 - 5*b. Factor l(z).
-3*z**2*(z - 3)**2*(7*z + 2)
Let d(j) = j - 6. Let w be d(-6). Let p = 12 + w. Determine t so that 3/4*t**2 + p*t + 0 - 3/2*t**3 + 3/4*t**4 = 0.
0, 1
Let h(r) be the second derivative of r**4/20 + 2*r**3/5 + 9*r**2/10 + 7*r. Suppose h(z) = 0. Calculate z.
-3, -1
Solve -2*v**5 + 3*v**5 - 15*v**3 - 5*v + 11*v**4 - 4*v**5 + 3*v + 9*v**2 = 0 for v.
0, 2/3, 1
Factor -5 - 2*q - 8*q**2 - 2*q**3 + 1 - 6*q - 2*q.
-2*(q + 1)**2*(q + 2)
Let p(c) = -c**2 - 6*c. Let x be p(-5). Suppose 2*y = -x*g, 3*g = -y - g. Find o, given that -o**2 + 0*o + y - 1/2*o**3 = 0.
-2, 0
Solve -2*b**3 + 9*b**3 + 2*b**3 - 7*b**4 - b**2 - b**2 = 0.
0, 2/7, 1
Let -8 - 6*i**2 + 7*i + 4*i**2 + i = 0. Calculate i.
2
Suppose -3*t - 14 = -5*t. Suppose l + 3*b = -6, 0 = -5*l + 5*b + t + 3. Factor l*r**2 - 4/5*r + 2/5 - 2/5*r**4 + 4/5*r**3.
-2*(r - 1)**3*(r + 1)/5
Let z(v) be the third derivative of -3*v**2 + 0 + 0*v - 1/84*v**4 + 0*v**3 - 1/210*v**5. Factor z(t).
-2*t*(t + 1)/7
Suppose 5*g - 6*c - 78 = -2*c, -4*c + 20 = 2*g. Let j(m) = -m**3 + 15*m**2 - 13*m - 10. Let r be j(g). Factor 0 - 2/7*w**r + 0*w**3 + 0*w + 2/7*w**2.
-2*w**2*(w - 1)*(w + 1)/7
Let r(h) = 4*h**4 - 3*h**3 - 5*h**2 + 1. Let q(t) = t**4 - t**3 - t**2. Let s(l) = 3*q(l) - r(l). Factor s(n).
-(n - 1)**2*(n + 1)**2
Let w(k) be the third derivative of k**8/1680 - k**7/525 + k**6/600 + 6*k**2. Find i, given that w(i) = 0.
0, 1
Let n(x) = x**3 - 5*x**2 + 6*x - 5. Let r be n(4). Let o = r - 1. Factor -2*m**2 + 6*m**o + 3*m**3 + 2*m - 3*m**2 - 6*m**3.
-m*(m - 1)*(3*m + 2)
Let h(k) = -4*k**3 + 6*k**2 - 4*k. Let g(j) = 2*j**2 - 7*j**2 + 5*j**3 + 5*j - 2*j**2. Let i(q) = 2*g(q) + 3*h(q). Find z such that i(z) = 0.
0, 1
Suppose 4*s = f + f + 28, -57 = -5*s - 3*f. Let l be s/(-63)*(-1 + -7). Suppose -8/7*g - l - 2/7*g**2 = 0. What is g?
-2
Suppose -2*v + 6 = 2*v + 3*u, 3*v - 1 = -4*u. Suppose v*z = -2*z + 15. Factor -x + x**2 + x**z + x.
x**2*(x + 1)
Let w(y) be the third derivative of -y**6/24 + y**5/3 - 5*y**2. Factor w(n).
-5*n**2*(n - 4)
Suppose -2 - 38 = -20*r. Let -c + 7/2*c**4 + 0 + 3*c**3 - 7/2*c**2 - r*c**5 = 0. Calculate c.
-1, -1/4, 0, 1, 2
Let n(w) be the third derivative of -w**6/300 - w**5/25 - w**4/12 - 17*w**2. Determine o, given that n(o) = 0.
-5, -1, 0
Suppose 8*z**2 + 4*z**2 + 21*z**4 + 91*z**3 - 58*z**3 = 0. Calculate z.
-1, -4/7, 0
Let p(m) = m - 3. Let u be p(3). Factor 2/5*q**2 + u + 0*q - 2/5*q**3.
-2*q**2*(q - 1)/5
Suppose 3*t + 3*q = -0*q + 24, 0 = -4*t - 3*q + 29. Suppose -3*v + 32 = v - t*f, 5 = -v - 2*f. Solve 0*b + 1/2*b**5 + 0*b**v + 0*b**2 + 0 - 1/2*b**4 = 0.
0, 1
Let n = -10 - -10. Suppose -3*y + n + 6 = 0. Find h such that -4/3*h**y - 8/3*h + 16/3*h**3 + 2/3*h**4 + 2/3 - 8/3*h**5 = 0.
-1, 1/4, 1
Let q = 32 - 23. Let a be (-2)/6 - (-21)/q. Solve 0 - 2/3*h**3 - 1/3*h**a + 2/3*h + 1/3*h**4 = 0.
-1, 0, 1, 2
Suppose 5*k + 6*t - 3*t = 60, -t - 24 = -2*k. Factor -6 - 15/2*d**2 + 3/2*d**3 + k*d.
3*(d - 2)**2*(d - 1)/2
Factor -3*u**3 + 6*u**2 - u + 2*u - 4*u.
-3*u*(u - 1)**2
Let x = 160/11 - 4706/319. Let d = 132/203 - x. Solve -6/7*q - 2/7*q**3 - d*q**2 - 2/7 = 0 for q.
-1
Let m = 7 - 9. Let p be (m/(-4))/((-18)/(-24)). Solve -q**3 + p*q**5 + 1/3*q + 1/3*q**4 - 1/3*q**2 + 0 = 0 for q.
-1, 0, 1/2, 1
Suppose 5*x - 2*t = -6, 5*t + 8 + 10 = -4*x. Let p be 3/x*(-5)/15. Determine c so that -p*c**2 - 3/2*c**4 + 0 + 0*c + 1/2*c**5 + 3/2*c**3 = 0.
0, 1
Let c(x) be the first derivative of -x**6/135 + x**5/90 + x**4/27 + 2*x - 4. Let s(y) be the first derivative of c(y). Factor s(k).
-2*k**2*(k - 2)*(k + 1)/9
Let t = 128 - 247/2. Let i(y) be the first derivative of -7*y**3 + t*y**4 + 0*y**2 - 3 + 3*y. Factor i(w).
3*(w - 1)*(2*w - 1)*(3*w + 1)
Let o(y) = -y**2 - 3*y + 5 - 4 - 2*y. Let i(f) be the second derivative of f**4/12 + f**3 - f**2/2 - 2*f. Let g(h) = -5*i(h) - 6*o(h). Factor g(b).
(b - 1)*(b + 1)
Let h(j) be the second derivative of -1/12*j**4 - 2/9*j**3 + 0 - 2*j**2 - 1/90*j**5 + j. Let q(z) be the first derivative of h(z). Factor q(w).
-2*(w + 1)*(w + 2)/3
Let o(i) be the first derivative of 8*i**5/5 - 7*i**4/2 + 4*i**3/3 + i**2 + 4. Factor o(j).
2*j*(j - 1)**2*(4*j + 1)
Let t = -1 - 2. Let i = t - -3. Factor i + 0 + 4*k**3 - 2*k**4.
-2*k**3*(k - 2)
Suppose j - 1 = 15. Suppose j = 6*h - 2*h. Factor 3*i + 6*i**2 + h*i**3 - 6 + 6 - i**3.
3*i*(i + 1)**2
Let h(t) be the second derivative of 1/2*t**3 + 0*t**2 + 1/900*t**6 - 3*t - 1/30*t**4 + 0 + 1/300*t**5. Let x(v) be the second derivative of h(v). Factor x(m).
2*(m - 1)*(m + 2)/5
Let f(h) be the second derivative of -h**7/147 + 2*h**6/105 + 9*h**5/35 + 16*h**4/21 + 23*h**3/21 + 6*h**2/7 - h - 11. Factor f(y).
-2*(y - 6)*(y + 1)**4/7
Let z(i) be the third derivative of i**8/560 + 7*i**3/6 - 4*i**2. Let j(t) be the first derivative of z(t). Solve j(s) = 0 for s.
0
Let v(a) be the second derivative of a**5/5 - 2*a**4/3 - 2*a**3/3 + 4*a**2 - a. Factor v(d).
4*(d - 2)*(d - 1)*(d + 1)
Let r be (6/(-2))/(2/(-2)). Let z be -4*6/9 + r. Factor z*h + 0 + 1/3*h**3 + 2/3*h**2.
h*(h + 1)**2/3
Let l(m) be the second derivative of m**4/12 - m**3/2 + m**2 + 10*m. Factor l(c).
(c - 2)*(c - 1)
Let 27/4 - 39/2*c - 3/4*c**4 - 9/2*c**3 + 18*c**2 = 0. What is c?
-9, 1
Factor -2/13*r**3 + 0 + 0*r**2 + 2/13*r.
-2*r*(r - 1)*(r + 1)/13
Let i be ((-6)/14)/(20/70)*-1. Factor 0*o**3 - 3/4*o - 3/2*o**4 + 0 + 3/4*o**5 + i*o**2.
3*