5*f**3 + 0*f + 3/5*f**4 - u*f**5 - 4/5*f**2 = 0.
-1, 0, 2/3
Find u such that 12*u**4 + 20*u**4 - 134*u**2 - 36*u + 53 - 35 - 48*u**3 = 0.
-1, -3/4, 1/4, 3
Let n = -26 - -46. Let s be 2/3 - n/75. Determine r, given that 0 + r**5 - 3/5*r**4 + 3/5*r**2 - 7/5*r**3 + s*r = 0.
-1, -2/5, 0, 1
Suppose 5*u = -2*w + 4*w, 4*u - 2 = 2*w. Let f = w - -7. Determine j so that 4*j**2 + 8*j**3 + 2*j + 2*j**2 - f*j**3 + 2*j**4 = 0.
-1, 0
Let p be 18/(-8)*(-16)/6. Suppose 0 = -p*w + 4*w + 6. Factor 0 + 2/5*v**4 + 2/5*v + 6/5*v**2 + 6/5*v**w.
2*v*(v + 1)**3/5
Let n(k) = 3*k**2 - 8*k + 2. Let c(x) = 5*x**2 - 15*x + 5. Let u(d) = 2*c(d) - 5*n(d). Let u(y) = 0. Calculate y.
0, 2
Let k(v) = -4*v**2 - 3*v. Let n(y) = -2*y**2 - y. Let b(t) = 3*k(t) - 7*n(t). Factor b(f).
2*f*(f - 1)
Let k(z) be the first derivative of z**5/5 - z**4/4 - 3. Find s such that k(s) = 0.
0, 1
Let g(s) be the second derivative of -s**4/114 - 8*s**3/57 - 12*s**2/19 + 17*s. Factor g(r).
-2*(r + 2)*(r + 6)/19
Let o(l) be the second derivative of 2*l + 0 + 0*l**2 + 27/77*l**7 + 4/11*l**5 - 2/33*l**4 - 39/55*l**6 + 0*l**3. Find n, given that o(n) = 0.
0, 2/9, 1
Factor 3*z - 1 - 4*z - 1 - 2*z**2 + 3*z**2.
(z - 2)*(z + 1)
Let y be (-18)/6*4/(-6). Factor 9*o**y - 7*o**2 - 2*o + 4*o.
2*o*(o + 1)
Let c(p) be the second derivative of -p**7/630 + p**5/90 - p**3/18 - p**2 + 2*p. Let n(m) be the first derivative of c(m). Suppose n(s) = 0. Calculate s.
-1, 1
Factor -3/4*t**3 - 3/2 - 3/8*t**4 + 3/2*t + 9/8*t**2.
-3*(t - 1)**2*(t + 2)**2/8
Let p(x) be the first derivative of -2 + x + 1/42*x**4 - 1/21*x**3 - 1/7*x**2 + 1/70*x**5. Let j(t) be the first derivative of p(t). Find i such that j(i) = 0.
-1, 1
Let w(o) be the second derivative of 0*o**3 - 1/108*o**4 + 0*o**2 + 3*o + 0. Factor w(i).
-i**2/9
What is z in 3*z + 3/2*z**2 - 3/2*z**3 + 0 = 0?
-1, 0, 2
Factor -6*u**3 - 4*u**4 - u**3 + 3*u**2 + 2*u + u**2 + 5*u**3.
-2*u*(u - 1)*(u + 1)*(2*u + 1)
Let g(r) be the third derivative of -r**5/300 - r**4/30 - 18*r**2. Factor g(n).
-n*(n + 4)/5
Let j(g) be the first derivative of -4 + 1/2*g + 1/2*g**3 - 1/8*g**4 - 3/4*g**2. Factor j(y).
-(y - 1)**3/2
Suppose -4*v + 20 = -9*v - 2*r, v - 3*r = -21. Let o be (4/(-14))/(v/28). Solve 0 - 10/3*i**2 + o*i = 0 for i.
0, 2/5
Let q = 4 + -8. Let d = q + 7. Solve 5*i**d + 5*i**3 - 2*i**3 - 2*i**2 = 0.
0, 1/4
Let g(u) = -u. Let h(b) = -b**2 + 6*b - 1. Suppose 8*y - 5*y + 3 = 0. Let t(c) = y*h(c) - 4*g(c). Factor t(a).
(a - 1)**2
Let d(k) = 2*k - 2. Let g be d(2). Factor 2/9*v - 2/9*v**g + 0.
-2*v*(v - 1)/9
Let q(f) = -4*f + f + 5 - 4 - 2*f**2. Let z(w) = w - 1. Suppose 4 = 3*x + 1. Let n(s) = x*q(s) + z(s). Factor n(j).
-2*j*(j + 1)
Let t(c) = -193*c**2 + 171*c - 36. Let g(m) = -580*m**2 + 512*m - 108. Let s(x) = 3*g(x) - 8*t(x). Find z, given that s(z) = 0.
3/7
Let m = 1/39 + 23/624. Let y(z) be the third derivative of -1/35*z**7 - 1/6*z**3 + 1/96*z**8 - 1/60*z**6 + 0*z - m*z**4 + 0 + 7/60*z**5 + z**2. Factor y(t).
(t - 1)**3*(t + 1)*(7*t + 2)/2
Factor -1/5*v + 1/5*v**2 + 0.
v*(v - 1)/5
Let -1/4*l**3 + 1/2*l + 1/4*l**2 + 0 = 0. What is l?
-1, 0, 2
Let d(y) be the first derivative of 1/60*y**5 + 0*y**2 - 1 - 1/18*y**3 + 2/45*y**6 - 1/9*y**4 + y. Let k(b) be the first derivative of d(b). Factor k(j).
j*(j - 1)*(j + 1)*(4*j + 1)/3
Let 15/4 - 3*r - 3/4*r**2 = 0. What is r?
-5, 1
Factor -2*q**4 - 5*q**3 - 12*q**2 + 1 + 21*q**2 - 12*q**2 + q.
-(q + 1)**3*(2*q - 1)
Factor -3/4*a**2 + 3/2*a + 0.
-3*a*(a - 2)/4
Suppose 28 = -0*h + 2*h. Determine q, given that -6*q**5 + 8*q + 13*q**4 - 19*q**2 + 7*q**4 - h*q**3 + 11*q**2 = 0.
-2/3, 0, 1, 2
Let u(d) = -d**2 - d - 1. Let b(a) = 5*a**2 - a - 3. Let j(k) = -b(k) - 3*u(k). Find h, given that j(h) = 0.
-1, 3
Let u(o) = -4*o**2 + 2*o - 4. Let d(a) = 13*a**2 - 5*a + 13. Let s(x) = 2*d(x) + 7*u(x). Factor s(w).
-2*(w - 1)**2
Let s = 23/105 - 2/105. Let k = 11/5 + -2. Factor s*w**2 - k - 1/5*w**3 + 1/5*w.
-(w - 1)**2*(w + 1)/5
Let d(p) be the second derivative of -p**6/120 + p**5/10 - p**4/2 - 2*p**3/3 - 3*p. Let y(a) be the second derivative of d(a). Suppose y(o) = 0. Calculate o.
2
Let s(w) = 5*w**3 + 15*w**2 - 39*w + 21. Let i(j) = -51*j**3 - 150*j**2 + 390*j - 210. Let m(q) = -2*i(q) - 21*s(q). Factor m(l).
-3*(l - 1)**2*(l + 7)
Suppose -5*r - 4*b = -2 - 2, 2*b = 3*r - 20. Determine n so that r*n**2 + n**2 - 2*n**3 - n**2 - 2*n = 0.
0, 1
Let z(i) be the third derivative of -i**8/168 - i**7/105 + 20*i**2. Find s such that z(s) = 0.
-1, 0
Let a = -3 + -11. Let x = -9 - a. Factor 4/3*h**4 + 2/3*h**3 + 0*h + 0 + 0*h**2 + 2/3*h**x.
2*h**3*(h + 1)**2/3
Let a(l) = 6*l**3 + 100*l**2 + 126*l + 60. Let j(d) = -d**3 - 20*d**2 - 25*d - 12. Let s(y) = -3*a(y) - 14*j(y). Solve s(n) = 0 for n.
-3, -1
Factor 1/3*j**2 + 0 - 1/2*j + 1/6*j**3.
j*(j - 1)*(j + 3)/6
Let x = 15 + -13. Factor -1/4 + 1/4*b**4 + 0*b**x + 1/2*b**3 - 1/2*b.
(b - 1)*(b + 1)**3/4
Let u = 199/5 - 79/2. Let r(t) be the second derivative of -u*t**2 + 1/5*t**3 + 0 + 0*t**4 - 3/50*t**5 + 1/50*t**6 - 3*t. Factor r(d).
3*(d - 1)**3*(d + 1)/5
Let y(o) be the second derivative of o**7/168 - o**6/40 + 3*o**5/80 - o**4/48 - o. Determine d, given that y(d) = 0.
0, 1
Suppose 4*l - 4*o = 20, -o - 2*o + 9 = 5*l. Factor 1/4*j**l + 0*j + 1 - 3/4*j**2.
(j - 2)**2*(j + 1)/4
Suppose m - 23 = 3*g - m, -26 = 3*g - 5*m. Let z = 11 + g. Factor -5/3*o + 5/3*o**z - 1/3*o**5 - 10/3*o**3 + 10/3*o**2 + 1/3.
-(o - 1)**5/3
Let a(z) be the first derivative of -2*z**3/9 + 2*z**2/3 - 2*z/3 + 13. Solve a(o) = 0.
1
Let g be ((-15)/(-12))/(330/176). Factor 2/9*m - g*m**3 + 0 + 4/9*m**4 + 0*m**2.
2*m*(m - 1)**2*(2*m + 1)/9
Let w be (4 + (-26)/5)*-5. Let q(z) = 3*z**2 + 3*z + 6. Let s(c) = 3*c**2 + 3*c + 5. Let p(r) = w*s(r) - 5*q(r). Factor p(j).
3*j*(j + 1)
Let g(d) be the first derivative of -d**4/10 + d**2/5 - 1. Factor g(l).
-2*l*(l - 1)*(l + 1)/5
Let f(z) be the first derivative of 7*z**5/30 - z**4/9 - 2*z + 1. Let a(l) be the first derivative of f(l). Solve a(c) = 0 for c.
0, 2/7
Suppose 3*w = -5*a + 19, -2*w + 6*w - a - 10 = 0. Let l(p) be the second derivative of 7/6*p**4 + 0 + 0*p**2 - 2/3*p**w - 3*p. What is i in l(i) = 0?
0, 2/7
Find w such that 98/5 + 14/5*w + 1/10*w**2 = 0.
-14
Factor 16*m - 5*m**2 - 6*m + 13 + 2.
-5*(m - 3)*(m + 1)
Factor -8 + 3*r - 7*r**2 - 4*r**4 + 19*r**2 - 7*r + 4*r**3.
-4*(r - 2)*(r - 1)*(r + 1)**2
Let i = 1387 + -6933/5. What is y in i*y**2 + 16/5*y + 32/5 = 0?
-4
Let w(z) = 5*z + 5*z**2 - 4*z + 8 + 0 + 3*z. Let o(x) = x**2 + x + 2. Let r(f) = -9*o(f) + 2*w(f). Factor r(s).
(s - 2)*(s + 1)
Factor s**4 + s + 14*s**3 - 1 + s - 16*s**3.
(s - 1)**3*(s + 1)
Let s(r) = -8*r**3 + 4*r**2 - 14*r + 8. Let i(u) = 7*u**3 - 5*u**2 + 13*u - 7. Let k(l) = 5*i(l) + 4*s(l). Factor k(f).
3*(f - 1)**3
Find k, given that -4/7*k**3 + 0 + 4/7*k - 2/7*k**4 + 2/7*k**2 = 0.
-2, -1, 0, 1
Suppose 2*a - 4/3 - 2/3*a**2 = 0. What is a?
1, 2
Let g(f) be the first derivative of f**6/40 - f**5/20 - 2*f**2 - 1. Let l(d) be the second derivative of g(d). Factor l(m).
3*m**2*(m - 1)
Determine w so that -1/2*w**2 + 0 - 7*w**4 + w - 17/2*w**3 = 0.
-1, -1/2, 0, 2/7
Let w(i) = -9*i**2 + 21*i - 21. Suppose 4*a - 18 - 2 = 0. Let d(y) = 26*y**2 - 62*y + 62. Let k(r) = a*d(r) + 14*w(r). Solve k(n) = 0 for n.
2
Let b be (-10)/20*(-1)/(1/4). Factor 0 + 2/5*f**5 - 8/5*f**b + 2/5*f + 12/5*f**3 - 8/5*f**4.
2*f*(f - 1)**4/5
Let l(c) = c**2 - 3*c + 2. Let h be l(5). Solve -200*g**3 - 58*g**3 + 144*g**3 - h*g - 249*g**3 - 132*g**2 = 0 for g.
-2/11, 0
Let l(t) = t**2 - t + 7. Let y be (-15)/(-2) + 1/2. Let z = -8 - -11. Let h(g) = -3*g**2 + 4*g - 20. Let o(f) = y*l(f) + z*h(f). Factor o(x).
-(x - 2)**2
Factor -5*n**3 + 3*n**4 - 3*n**3 - 4*n**2 - 7*n**4.
-4*n**2*(n + 1)**2
Let s(z) = -z**3 + 7*z**2 - 7*z + 6. Let v be s(6). Factor 0 - 3/4*p**4 - 3/4*p**3 - 1/4*p**5 + v*p - 1/4*p**2.
-p**2*(p + 1)**3/4
Let a(h) be the first derivative of h**4/12 - 11*h**3/9 + 13*h**2/3 - 16*h/3 - 9. Factor a(q).
(q - 8)*(q - 2)*(q - 1)/3
Let m(c) = 15*c**3 - 7*c**2 - 4*c - 1. Let i(b) = 14*b**3 - 8*b**2 - 4*b. Let l(p) = -3*i(p) + 2*m(p). Factor l(s).
-2*(s - 1)*(2*s + 1)*(3*s - 1)
Find b such that 9*b**2 + 9*b**3 - 5*b**3 + 7*b**2 = 0.
-4, 0
Let u(d) be the first derivative of -d**4/2 + 8*d**3 - 48*d**2 + 128*d + 9. Suppose u(x) = 0. Calculate x.
4
Let m