*k**3 + 3/4*k**2 - 3 - 3*k.
3*(k - 2)*(k + 1)*(k + 2)/4
Solve 3/5*p + 0 + 12/5*p**2 = 0.
-1/4, 0
Let o(w) be the first derivative of -w**3 + 1/3*w**4 + 0*w**6 - 3 - 1/21*w**7 + 2*w - 2*w**2 + 2/5*w**5. Let f(a) be the first derivative of o(a). Factor f(l).
-2*(l - 2)*(l - 1)*(l + 1)**3
Determine j so that -j**5 + 161*j**3 + 127*j**2 + 28 - 155*j**4 - 14*j**5 - 73*j - 63*j - 10*j**5 = 0.
-7, -1, 2/5, 1
Let c be (-48)/(-27) - 8/(-36). Factor -3 + 2*j**2 - 6*j**c + j**2 + 6.
-3*(j - 1)*(j + 1)
Suppose 0 = -2*c - 4*v - 4, 3*c + 4 = -2*c - 4*v. Factor -1/4*h**3 + 0 + 1/4*h + c*h**2.
-h*(h - 1)*(h + 1)/4
Suppose 3*u - 2*i + 10 = 0, 3*u + 0 = -5*i + 4. Let h be u/(-30)*(4 - -2). Factor 4/5*b**2 - 2/5*b**5 - 2/5*b**4 + 4/5*b**3 - 2/5*b - h.
-2*(b - 1)**2*(b + 1)**3/5
Let x(k) = k**2 - k + 1. Let w(q) = -3*q**2 + 3*q - 1. Suppose -a = -2*h + 9, -20 = -6*h + h. Let y(l) = a*w(l) - x(l). Find p, given that y(p) = 0.
0, 1
Suppose v + 3*o - 2 - 32 = 0, -2*o + 48 = 2*v. Let z = v - 75/4. Find a, given that 0*a + 1/4 - z*a**2 = 0.
-1, 1
Let j be 2*1*(-20)/(-8). Solve x**j - 2*x**4 - x**3 + x**4 - x**2 + 0*x**2 + 2*x**2 = 0 for x.
-1, 0, 1
Let a(s) be the first derivative of s**4 + 16*s**3 + 96*s**2 + 256*s + 6. Factor a(l).
4*(l + 4)**3
Solve 96*p**2 - 20/3*p**3 - 364*p + 392/3 = 0 for p.
2/5, 7
Suppose 10 - 5*g**2 - 5*g + 15*g - 10 = 0. What is g?
0, 2
Let k(t) be the third derivative of -t**5/10 + 3*t**4/8 - 43*t**2. Determine p, given that k(p) = 0.
0, 3/2
Let i be (39 + -1)*84/672. Find b, given that i*b + 7/4*b**2 - 3/2 = 0.
-3, 2/7
Let b(f) = 1 + 0*f + 9 - 2 - 2*f. Let c be b(0). Let 4*p**2 + c*p + 2/3*p**3 + 16/3 = 0. Calculate p.
-2
Let b(m) = -19*m**3 + 2*m - 1. Let q be b(1). Let w be 3/q - 38/(-12). Determine j, given that 0*j**2 + w*j**2 + 0*j**2 - 3 = 0.
-1, 1
Let r be 3*2 - 616/132. Let y(i) be the second derivative of -8*i**2 + 2*i + 0 - r*i**3 + 1/2*i**5 + 1/15*i**6 + i**4. Find h, given that y(h) = 0.
-2, 1
Suppose -30*d**2 - 3*d**5 - 4*d**4 - 8*d**4 - 30*d**3 - 3 - 8*d - 3*d**4 - 7*d = 0. Calculate d.
-1
Let g(j) be the third derivative of j**5/30 + j**4/6 + j**3/3 + 4*j**2. Factor g(i).
2*(i + 1)**2
Let n = 0 + 9. Suppose -2*l + 5*q - 7 = n, 4*q = 3*l + 10. Solve 4/9*z**l + 0*z + 0 - 2*z**3 + 8/3*z**4 - 10/9*z**5 = 0.
0, 2/5, 1
Let t(k) be the third derivative of 1/480*k**6 + 0*k + k**2 + 0 - 1/3*k**3 - 1/40*k**5 + 1/8*k**4. Suppose t(z) = 0. Calculate z.
2
Let f = -1298 - -1300. Factor 4/5 + 18/5*y**f + 2*y**3 + 14/5*y + 2/5*y**4.
2*(y + 1)**3*(y + 2)/5
Let y(h) = -2*h**3 - h**2 + 2*h - 1. Let a be y(1). Let z(q) = q**2 + 2*q - 1. Let w(o) = -2*o**2 - 3*o + 2. Let n(p) = a*w(p) - 3*z(p). Factor n(u).
(u - 1)*(u + 1)
Let c(g) = 9*g**2 + 12. Let f(z) = -2*z**2 - 3. Let t(k) = 5*c(k) + 21*f(k). Factor t(o).
3*(o - 1)*(o + 1)
Let b = 3/7 + 27/35. Determine x so that 0 + 2/5*x - 2/5*x**3 - b*x**4 + 6/5*x**2 = 0.
-1, -1/3, 0, 1
Solve 2/5*u**3 + 2/5*u**2 + 0*u + 0 = 0.
-1, 0
Let q(u) be the first derivative of u**5/90 + u**4/54 - 4*u + 6. Let h(r) be the first derivative of q(r). Solve h(z) = 0.
-1, 0
Suppose -4*y - 39 = -s, y + 30 = s - 0*s. Let w = -133/5 + s. Factor w - 2/5*g**2 + 3/5*g.
-(g - 2)*(2*g + 1)/5
Find x such that -1/2*x**5 - 1/2*x + 0*x**2 + 0*x**4 + 0 + x**3 = 0.
-1, 0, 1
Factor -3*d**4 + d**3 + 3*d**3 - d**4 + 0*d**3.
-4*d**3*(d - 1)
Let p = 116 - 114. Let z(c) be the third derivative of -c**p - 1/270*c**5 + 1/108*c**4 + 0*c + 0*c**3 + 0. Solve z(g) = 0.
0, 1
Let l be (0 - 0) + (1 - (-4 - -2)). Factor 3/2*a**4 - a**2 - 3/2*a - 1/2 + 1/2*a**5 + a**l.
(a - 1)*(a + 1)**4/2
Let y be (2 + -2 - 3) + 1. Let r = y + 5. Let 10 - 11*n - 26*n**2 - 2 + 42*n**r - 13*n = 0. What is n?
-2/3, 2/7, 1
Let n(b) = 10*b**2 - 14*b - 12. Let o be (-16)/3*(-36)/16. Let a(z) = -z**2 + z + 1. Let r(h) = o*a(h) + n(h). Factor r(c).
-2*c*(c + 1)
Let l(u) be the second derivative of u**5/5 + 5*u**4 - 2*u**3/3 - 30*u**2 + u. Suppose l(s) = 0. What is s?
-15, -1, 1
Factor -35*o**2 - o**2 + 48*o**3 - 16*o**4 + 20*o - 12*o.
-4*o*(o - 2)*(2*o - 1)**2
Let s be (3/2)/(63/(-1085)). Let t = s + 53/2. Factor t*d**3 + 0 - 2/3*d**4 + 2/3*d**2 - 2/3*d.
-2*d*(d - 1)**2*(d + 1)/3
Determine n, given that 3/2*n + 9/8 + 3/8*n**2 = 0.
-3, -1
Let u = 24 - 21. Factor -4*v - u*v + 2*v**2 + 4*v - 5*v**2.
-3*v*(v + 1)
Let l be (-10 - -17)*3/63*9. Find g, given that -1/2*g**4 + 0*g + 1/2*g**5 - 1/2*g**l + 0 + 1/2*g**2 = 0.
-1, 0, 1
Let r(k) = -k**3 - 4*k**2 + 5*k - 2. Let c be r(-5). Let g(x) = -1. Let f(n) = -n**2 - n + 2. Let q(h) = c*g(h) - f(h). What is z in q(z) = 0?
-1, 0
Let x(t) = -3*t**3 + 3*t**2 - 5*t + 1. Let w(g) = 2*g**3 - 2*g**2 + 4*g - 1. Let m(q) = -4*w(q) - 3*x(q). Solve m(y) = 0 for y.
-1, 1
Let o = -145 + 145. Suppose 1/2*a**2 + 1/2*a + o = 0. What is a?
-1, 0
Let s = -281 - -1409/5. Let 52/5*o**2 - 2/5*o - 24/5*o**4 - s - 22/5*o**3 = 0. Calculate o.
-2, -1/4, 1/3, 1
Let -5*c**2 + 4*c**2 - c**2 + 4*c = 0. Calculate c.
0, 2
What is z in 0 + 0*z - 2/15*z**2 = 0?
0
Let d(m) be the second derivative of -1/45*m**6 + 0*m**3 + 0*m**2 + 1/18*m**4 + 3*m + 0 + 0*m**5. Factor d(w).
-2*w**2*(w - 1)*(w + 1)/3
Suppose -2 = -0*v - v. Let o = 3 + -1. Solve r**4 + 0*r**5 + 3*r**5 + v*r - r**o - 3*r**3 - 2*r**3 = 0.
-1, 0, 2/3, 1
Let o(s) be the third derivative of s**6/600 - s**4/120 - 9*s**2. Suppose o(d) = 0. What is d?
-1, 0, 1
Let v(c) be the second derivative of c**8/16800 - c**7/6300 + c**4/4 + 2*c. Let x(b) be the third derivative of v(b). Factor x(r).
2*r**2*(r - 1)/5
Suppose -18/7*t + 0 + 3/7*t**2 = 0. Calculate t.
0, 6
Suppose -4*y + 3*y = -2. Suppose 3*k - 29 = 4*x, y*k = -k + x + 14. Solve 2*r**k + r**5 - 5*r + 6*r - 4*r**3 = 0.
-1, 0, 1
Factor -12*l**2 - 28/5*l**3 - 36/5*l + 0 - 4/5*l**4.
-4*l*(l + 1)*(l + 3)**2/5
Factor -31*v - 32*v**2 + 4 - 2*v**3 + 12*v - 39*v - 32.
-2*(v + 1)**2*(v + 14)
Let t(y) = -8*y**5 + y**3 + 10*y**2 + 7*y + 5. Let k(q) = 7*q**5 + q**4 - q**3 - 9*q**2 - 6*q - 4. Let s(r) = 5*k(r) + 4*t(r). Factor s(h).
h*(h - 1)*(h + 1)**2*(3*h + 2)
Let f be (-2)/4*0 + 3. Let y(s) = 0 + 2 + 4*s**4 - 4*s**2 + 2*s**f + 0. Let m(k) = -k**4 - k**3 + k**2 - 1. Let x(l) = 2*m(l) + y(l). Find b such that x(b) = 0.
-1, 0, 1
Factor 2*n - 3*n**2 + 0 + 6 + n.
-3*(n - 2)*(n + 1)
Let i(n) be the third derivative of 0 - 1/120*n**6 - 4*n**2 + 0*n**3 - 1/12*n**4 + 0*n - 1/20*n**5. Factor i(t).
-t*(t + 1)*(t + 2)
Let r be 7/28 - (1 + -1). Solve -3/4*n + r*n**2 + 1/2 = 0.
1, 2
Suppose 5 + 8 = 3*a + 2*t, 4 = 2*t. Suppose 0*r + 0 + 1/6*r**2 + 1/6*r**a = 0. Calculate r.
-1, 0
Let o be (-2)/(-9) - (-7)/9. Suppose 4*w = -3 - 5. Let k(v) = v**3 + v**2 - v. Let r(i) = -23*i**3 - 3*i**2 + 14*i - 4. Let c(h) = o*r(h) + w*k(h). Factor c(x).
-(x + 1)*(5*x - 2)**2
Let l(m) = -m**3 - 29*m**2 - 27*m + 31. Let x be l(-28). Let j(b) be the first derivative of 1/6*b**x - b + 1/4*b**2 + 3. Let j(v) = 0. What is v?
-2, 1
Let n = -8/27 - -151/54. Let b(a) be the first derivative of a**5 + 2 + a + 5/2*a**4 + n*a**2 + 10/3*a**3 + 1/6*a**6. Find x, given that b(x) = 0.
-1
Let y(j) = -j**4 - j**3 + j. Let c(u) = -6*u**4 - 11*u**3 + 11*u + 5. Let n(x) = -c(x) + y(x). Solve n(g) = 0 for g.
-1, 1
Let o(f) be the third derivative of 4*f**2 + 1/120*f**5 + 0 + 0*f - 1/12*f**4 + 1/3*f**3. Find h such that o(h) = 0.
2
Factor -1/5*w**3 + 0 + 2/5*w + 1/5*w**2.
-w*(w - 2)*(w + 1)/5
Let n(j) = j**2 + 11*j + 10. Let z be n(-10). Factor -4*v**2 + 3*v**2 + z*v**2 - 2*v**3 + v**3.
-v**2*(v + 1)
Let f = -1/4 + 15/28. Determine m, given that 2/7*m**2 + f*m**3 + 0 - 2/7*m**5 - 2/7*m**4 + 0*m = 0.
-1, 0, 1
Let c(z) = -z**2 - z - 4. Let d(x) = 6*x**2 + 5*x + 21. Let r(m) = -22*c(m) - 4*d(m). Factor r(v).
-2*(v - 2)*(v + 1)
Let t(g) be the third derivative of g**8/672 - g**7/105 + g**6/40 - g**5/30 + g**4/48 + 3*g**2. Factor t(j).
j*(j - 1)**4/2
Let f(m) be the first derivative of 2*m**7/735 + m**6/840 - m**2 + 4. Let c(j) be the second derivative of f(j). Factor c(b).
b**3*(4*b + 1)/7
Let s(q) be the first derivative of 3*q**5/10 - 3*q**4/2 + 3*q**3/2 + 3*q**2 - 6*q - 5. Solve s(y) = 0.
-1, 1, 2
Let o(y) be the second derivative of 0 + 2*y + 0*y**3 - 1/45*y**6 + 0*y**5 + 1/18*y**4 + 0*y**2. Find l, given that o(l) = 0.
-1, 0, 1
Suppose 0 = -48*a + 47*a + 2*p + 8, 4*a = 5*p + 23. Determine q so that -5/3*q + 4/3*q*