4 + 63*r**4 = 0.
-1, -1/3, 1/4
Let g(j) = 3*j**2 - 2*j + 1. Let z be 2*(-18)/4 - 0. Let d(r) = 13*r**2 - 9*r + 5. Let f(c) = z*g(c) + 2*d(c). Factor f(v).
-(v - 1)*(v + 1)
Let m(k) be the first derivative of 4*k**5/5 - 6*k**4 + 16*k**3 - 16*k**2 + 25. Factor m(z).
4*z*(z - 2)**3
Let m(q) be the second derivative of -q**5/5 + 19*q**4/36 - 4*q**3/9 + q**2/6 + 4*q. Factor m(p).
-(p - 1)*(3*p - 1)*(4*p - 1)/3
Suppose -4*a - 3*x - 2*x = -20, 5*a - 12 = -3*x. Determine j so that 0*j + a + 1/2*j**2 = 0.
0
Factor -5*c**3 + 4*c**3 + 5*c**3 - 2*c**4 - 2*c**2 + 0*c**3.
-2*c**2*(c - 1)**2
Let k(o) be the first derivative of -7/15*o**6 - 32/25*o**5 - 3 + 28/15*o**3 - 2/5*o**4 + 4/5*o + 11/5*o**2. Solve k(a) = 0 for a.
-1, -2/7, 1
Let s(w) = 2*w**3 + w**2 - 8*w + 5. Let o be 2*(1/(-2) + 0). Let t(k) = -k + 0 + 4 - k**2 + k**3 - 3. Let p(x) = o*s(x) + 5*t(x). Determine u so that p(u) = 0.
0, 1
Let s(y) be the second derivative of y**4/42 - 2*y**3/21 + y**2/7 + 2*y. Factor s(h).
2*(h - 1)**2/7
Let i(p) be the second derivative of 10*p + 1/12*p**4 + 0 + 1/2*p**2 - 1/3*p**3. Suppose i(j) = 0. Calculate j.
1
Let h(s) be the second derivative of -s**7/14 + 3*s**5/10 - s**3/2 - 7*s. Factor h(b).
-3*b*(b - 1)**2*(b + 1)**2
Suppose 2 = 6*q - 16. Let k(u) be the third derivative of -1/160*u**6 + 1/40*u**5 - u**2 + 0*u**q - 1/32*u**4 + 0 + 0*u. Factor k(m).
-3*m*(m - 1)**2/4
Let p(y) be the first derivative of y**8/12600 + 4*y**3/3 - 6. Let w(s) be the third derivative of p(s). Factor w(u).
2*u**4/15
Let a be (-5)/(-4) - (-3)/4. Find o such that 39*o + 2*o**a + 0*o**2 - 35*o = 0.
-2, 0
Let g = -7 - -9. Suppose -15 = 3*s, g*s + 15 = -5*w - 3*s. Factor r**3 - r - 2/3 + 2/3*r**w.
(r - 1)*(r + 1)*(3*r + 2)/3
Factor 0*c - 4/11*c**4 - 2/11*c**3 + 0 + 2/11*c**2.
-2*c**2*(c + 1)*(2*c - 1)/11
Let i(m) = 32*m**4 - 38*m**3 + 8*m**2 + 4*m - 6. Let l(p) = 11*p**4 - 13*p**3 + 3*p**2 + p - 2. Let y(a) = 6*i(a) - 17*l(a). Factor y(x).
(x - 1)**2*(x + 1)*(5*x - 2)
Let g(u) = -3*u**4 + 65*u**3 + 450*u**2 - 5. Let s(l) = 2*l**4 - 33*l**3 - 225*l**2 + 3. Let j(y) = -3*g(y) - 5*s(y). What is d in j(d) = 0?
-15, 0
Let c(i) = -36*i**3 + 3*i**2 + 6*i + 3. Let r be c(-1). Factor 162*z**3 - 243*z**4 + 0 + 8/3*z - r*z**2.
-z*(9*z - 2)**3/3
Factor 0 + 2/7*m + 2/21*m**2.
2*m*(m + 3)/21
Factor 2 - 7/3*n**2 + 19/3*n.
-(n - 3)*(7*n + 2)/3
Let x(q) be the second derivative of 0 + 1/120*q**4 - 1/300*q**5 - q**2 + 0*q**3 + 2*q. Let m(t) be the first derivative of x(t). Let m(j) = 0. Calculate j.
0, 1
Factor 32/3*c + 2/3*c**3 - 14/3*c**2 - 8.
2*(c - 3)*(c - 2)**2/3
Let f(k) be the first derivative of -2 + 0*k**2 + 0*k**3 - 2/5*k**5 + 0*k + 1/3*k**6 + 0*k**4. Factor f(m).
2*m**4*(m - 1)
Suppose -8*x - 1 - x**2 + 9*x + 3 = 0. Calculate x.
-1, 2
Find b, given that -2/3*b**2 - 22/3 + 8*b = 0.
1, 11
Let s(l) be the second derivative of 0*l**2 - 3/10*l**5 - 1/3*l**3 - 1/15*l**6 - 1/2*l**4 + 0 - 2*l. Factor s(q).
-2*q*(q + 1)**3
Let i(y) be the first derivative of 2*y**5/5 - y**4/2 - 2*y**3 + y**2 + 4*y - 6. Factor i(v).
2*(v - 2)*(v - 1)*(v + 1)**2
Let s be 9 - (-8 + 113/7). Solve 6/7*c**3 + 2/7 - 2/7*c**2 - s*c = 0 for c.
-1, 1/3, 1
Suppose 2*a = 10, 3*u - 1 = -0*u + a. Solve -2/9*g**u + 0*g + 2/9 = 0.
-1, 1
Suppose -2*p + 16 = 5*v, -9*v + 4*p = -4*v + 2. Suppose -v*z = 2*z. Factor z + 0*r + 0*r**2 + 1/2*r**3 - 1/2*r**4.
-r**3*(r - 1)/2
Let c be 108/594 - (-184)/198. What is s in -8/9*s**2 - 2/9*s**3 - c*s - 4/9 = 0?
-2, -1
Let f be 1 + (-13)/15 - 2/(-12). Let g(c) be the first derivative of 6/25*c**5 + f*c**4 + 2/15*c**3 + 1/15*c**6 + 0*c - 4 + 0*c**2. What is q in g(q) = 0?
-1, 0
Find y, given that 0 + 0*y**2 - 3*y + 3/4*y**3 = 0.
-2, 0, 2
Let r be 4/(-10) + (22/(-5))/(-1). Factor -2/15*x**r + 0 + 2/15*x**3 + 0*x + 4/15*x**2.
-2*x**2*(x - 2)*(x + 1)/15
Factor 0 + 6*v**2 - 2*v - 5/2*v**3.
-v*(v - 2)*(5*v - 2)/2
Let l = -445/2 - -224. Find a, given that -15/4*a + 3/4*a**3 - l - 9/4*a**2 + 3/4*a**4 = 0.
-1, 2
Let h be ((-2)/4)/((-5)/20). Let v be h/((-2)/(-4)*3). Factor -v*w**4 - 2*w**3 + 0*w - 2/3*w**2 + 0.
-2*w**2*(w + 1)*(2*w + 1)/3
Let j(b) be the second derivative of b + 3/10*b**2 + 3/10*b**3 + 3/100*b**5 + 3/20*b**4 + 0. Factor j(o).
3*(o + 1)**3/5
Let f = -1622 - -2501. Let n = f + -7903/9. Factor 8/9*i - n - 2/9*i**2.
-2*(i - 2)**2/9
Factor 4/7*y - 6/7 + 2/7*y**2.
2*(y - 1)*(y + 3)/7
Suppose -2*w = 2*w. Let x be -3 + 0 + -1 + 8. Suppose w*n**3 + 0*n + 1/3 + 1/3*n**x - 2/3*n**2 = 0. Calculate n.
-1, 1
Let v(g) = -5*g**2 - 17*g - 12. Let h(k) = -k**2 - k. Let u(s) = -2*h(s) + v(s). Factor u(l).
-3*(l + 1)*(l + 4)
Let x be (7/2 - 3)*(-2 + 2). Find p such that 0 + x*p + 2/3*p**3 + 1/3*p**4 + 0*p**2 = 0.
-2, 0
Let q(m) be the second derivative of m**7/21 + 3*m**6/10 + 21*m**5/40 + 19*m**4/48 + m**3/8 + m. Factor q(f).
f*(f + 3)*(2*f + 1)**3/4
Factor -107*d**3 + 112*d**3 - 20 + 7*d**2 + 8*d**2.
5*(d - 1)*(d + 2)**2
Suppose -z = -0 - 4. Factor 2 + 3 - 3 + 2*i**2 - z*i.
2*(i - 1)**2
Let a be (24/108)/((-8)/(-12)). Find o such that 1/3*o + a*o**2 + 0 = 0.
-1, 0
Let z(t) be the first derivative of -t**6/9 - t**5/15 - t + 1. Let l(s) be the first derivative of z(s). Factor l(m).
-2*m**3*(5*m + 2)/3
Suppose -4*j - 7 = -5*s + 10, 3*j + 5*s = 31. Let v(t) be the first derivative of -1/10*t**4 + 2 + 2/5*t - 2/15*t**3 + 1/5*t**j. Factor v(i).
-2*(i - 1)*(i + 1)**2/5
Let q(f) = f**2 + 10*f - 8. Let m be q(-11). What is c in -m*c**2 - 5*c**2 + 15*c**3 - 12*c**4 + 5*c**3 = 0?
0, 2/3, 1
Suppose 6*l - 15 = 3*l + 3*b, 5*l = 3*b + 21. Determine f so that -3*f**l + 3*f**2 + f - f - 3*f**3 = 0.
0, 1/2
Let o = -68/33 + 30/11. Let k(u) be the second derivative of -2*u + 1/30*u**6 + o*u**3 + 0 - 2*u**2 - 1/5*u**5 + 1/4*u**4. Find m, given that k(m) = 0.
-1, 1, 2
Let u be -1 + (2 + -3)/(-1). Let w(o) be the first derivative of -1/8*o**4 - 1 + 0*o + u*o**2 - 1/6*o**3. Find f, given that w(f) = 0.
-1, 0
Let h be 4 + (-16)/3*99/154. What is n in 2/7*n**2 - 2/7*n - h = 0?
-1, 2
Determine v so that -5*v**2 + 78*v**4 - 152*v**4 + 79*v**4 = 0.
-1, 0, 1
Let m(q) = -3*q**3 - q**2 - q + 1. Let x(h) = -h**2 + h - 1. Let y(u) = 4*m(u) + 4*x(u). Factor y(s).
-4*s**2*(3*s + 2)
Let u(m) be the third derivative of -m**5/270 - m**4/36 + 4*m**3/27 - 8*m**2. Find p such that u(p) = 0.
-4, 1
Factor -4/9*s + 0 + 1/9*s**3 - 1/3*s**2.
s*(s - 4)*(s + 1)/9
Let x be 0/2 - ((-18)/(-6) + -5). Let k(g) be the third derivative of 0*g + g**x + 1/30*g**3 + 0 - 1/60*g**4 + 1/300*g**5. Factor k(a).
(a - 1)**2/5
Let u(r) be the first derivative of r**3/6 - 2*r - 24. Suppose u(z) = 0. What is z?
-2, 2
Let b(h) be the first derivative of -2*h**3/3 + 3*h**2/5 + 4*h/5 - 4. Suppose b(g) = 0. Calculate g.
-2/5, 1
Factor 4*h + 1 - 2 + 0*h**2 - 5 + 2*h**2.
2*(h - 1)*(h + 3)
Suppose s - 2*x + 4 = 4*s, -11 = -4*s + 3*x. Suppose -s*h + 1 = -3. Suppose 2/3*k**4 - 8/9*k - 16/9*k**h + 0 - 8*k**5 + 70/9*k**3 = 0. Calculate k.
-1, -1/4, 0, 2/3
Let x = -640 - -2313/4. Let k = x + 62. Let 0*q**2 + k*q**3 + 0 - 1/4*q = 0. Calculate q.
-1, 0, 1
Suppose 5*k - 5 = 0, -34*s = -33*s - 4*k + 2. Factor -2/7*b**s + 0 + 0*b + 2/7*b**4 + 0*b**3.
2*b**2*(b - 1)*(b + 1)/7
Let l(b) be the second derivative of -b**7/10080 + b**5/480 - b**4/12 + 3*b. Let j(p) be the third derivative of l(p). Let j(y) = 0. Calculate y.
-1, 1
Find r, given that 0 + 0*r + 1/2*r**2 - 1/2*r**3 = 0.
0, 1
Let f(i) be the first derivative of i**3/9 + i**2 + 3*i - 8. Suppose f(j) = 0. Calculate j.
-3
Find c such that -3/8*c**2 - 3/4*c + 0 = 0.
-2, 0
Let l(t) be the second derivative of 0*t**2 + 1/42*t**4 + 2/21*t**3 + t + 0. Solve l(i) = 0.
-2, 0
Let q be 350/(-882)*-3 - (-2)/14. Let z be (-4)/6 + (-2)/(-2). Factor z*j + 0 + 5/6*j**4 - q*j**3 + 1/6*j**2.
j*(j - 1)**2*(5*j + 2)/6
Let h(z) be the second derivative of -2/3*z**3 + z**2 + 1/6*z**4 + 0 - z. Determine f, given that h(f) = 0.
1
Let z(n) = 2*n**4 - 4*n**3 - 2*n**2 + 4*n - 4. Let q = -9 + 8. Let k(a) = -a**4 + a**3 + a**2 - a + 1. Let y(c) = q*z(c) - 4*k(c). Determine g so that y(g) = 0.
-1, 0, 1
Let u(v) be the first derivative of 1 - 2/9*v - 2/27*v**3 + 2/9*v**2. Factor u(y).
-2*(y - 1)**2/9
Let c be (-4)/3*18/(-24)*0. Find m such that c + 1/3*m - 1/3*m**2 = 0.
0, 1
Let y(a) be the second derivative of -a - 1/36*a**4 - 1/18*a**3 + 1/60*a**5 + 0 + 1/6*a**2. Fa