). Factor 1/3*f**3 - 2/3 - h*f + f**2 - 1/3*f**4.
-(f - 2)*(f - 1)*(f + 1)**2/3
Let k be (-1)/(-2 + 5/3). Let -4*s**3 + 8*s - 5*s**k + s**3 - 12*s**2 = 0. What is s?
-2, 0, 1/2
Let d(s) be the second derivative of 1/10*s**5 + 0 + 8/21*s**4 + 2/7*s**2 - s + 11/21*s**3. What is y in d(y) = 0?
-1, -2/7
Suppose 5*b - 5 - 5 = 0. Let z be (-33)/(-21) + b/(-2). Solve 0*x - z*x**3 + 2/7*x**2 + 2/7*x**4 + 0 = 0 for x.
0, 1
Let m(f) = -f**4 + 1. Let q(x) = 6*x**5 + 15*x**4 - 6*x**3 - 24*x**2 + 8*x + 1. Let p(a) = -2*m(a) + 2*q(a). Suppose p(h) = 0. Calculate h.
-2, 0, 1/3, 1
Let o be 1*4/8*6. Determine v, given that 48*v**3 - 187*v - 783*v**o - 41*v - 24 - 714*v**2 = 0.
-2/5, -2/7
Let r(l) = 7*l**3 + 5*l**2 - 11*l + 1. Suppose 2*k - 20 = -2*k. Let v(h) = h**3 - 7*h + 2*h**2 + 2*h**3 + 2*h. Let t(u) = k*v(u) - 2*r(u). Factor t(b).
(b - 2)*(b + 1)**2
Let n(a) be the first derivative of -a**3/18 - a**2/6 + 9. Factor n(f).
-f*(f + 2)/6
Suppose 22*i = 24*i - 8. Determine k so that -2/3*k**i + 0 - k**3 + 0*k - 1/3*k**2 = 0.
-1, -1/2, 0
Let c be 649/(-3795) + (-1)/(-6). Let f = c - -467/1610. What is x in 4/7*x**2 + 4/7*x**3 - 2/7*x**4 - 2/7*x - f*x**5 - 2/7 = 0?
-1, 1
Factor 0*n + 0*n - 24 + 25 - n**2.
-(n - 1)*(n + 1)
Let r(c) = -7 - 4*c + 0 + c + 4*c. Let a be r(7). Factor 3*d + a*d + 2*d**2 - d + 2*d.
2*d*(d + 2)
Let h(b) be the first derivative of -b**6/15 + 3*b**5/10 - b**4/2 + b**3/3 + 3*b - 6. Let k(p) be the first derivative of h(p). Solve k(s) = 0.
0, 1
Solve -4/15*p**5 + 2/15*p**2 + 2/5*p - 6/5*p**4 - 6/5*p**3 + 0 = 0.
-3, -1, 0, 1/2
Suppose 3*n - 4*n + 9 = 0. Suppose -n = -0*k - 3*k. Solve 3*i**4 + i**2 + 6*i**3 - 4*i**4 + 2*i**4 - 8*i**k = 0.
0, 1
Let d(r) = 9*r**2 + 6*r - 3. Let z(x) = 13*x**2 + 8*x - 5. Let w(g) = -7*d(g) + 5*z(g). Let w(q) = 0. Calculate q.
-1, 2
Suppose 0 = 2*g - 10, 5*k - 3*g - 6 + 21 = 0. Let a(j) be the third derivative of 4*j**2 + j**3 + 0*j + k - 1/10*j**5 + 1/8*j**6 - 5/8*j**4. Factor a(z).
3*(z - 1)*(z + 1)*(5*z - 2)
Let m be (-8)/60*2/(-24). Let v(u) be the third derivative of 1/9*u**3 - u**2 + 0 + 0*u + 1/18*u**4 + m*u**5. Factor v(f).
2*(f + 1)**2/3
Let r = 1712/5 - 340. Find i such that -r*i + 2/5*i**2 + 18/5 = 0.
3
Factor 0*i + 8/17*i**2 - 10/17*i**3 + 2/17*i**4 + 0.
2*i**2*(i - 4)*(i - 1)/17
Let s(n) be the first derivative of -4/9*n - 1/3*n**2 + 4 - 2/27*n**3. Suppose s(k) = 0. Calculate k.
-2, -1
Let y = 1047 - 4185/4. Let -1/4 + y*u - 3/4*u**2 + 1/4*u**3 = 0. Calculate u.
1
Suppose 25 + 15 = 8*p. Let s(d) be the first derivative of 54*d**3 - 21*d**2 + 4*d - 2 - 135/2*d**4 + 162/5*d**p. Find v, given that s(v) = 0.
1/3, 2/3
Let j(n) be the second derivative of -n**7/84 - n**6/15 - n**5/10 + n**4/12 + 5*n**3/12 + n**2/2 - 65*n. Factor j(x).
-(x - 1)*(x + 1)**3*(x + 2)/2
Let j = 37 + 11. Let d = -142/3 + j. Determine t, given that d*t**2 - 2/3*t + 0 = 0.
0, 1
Let c = 55/92 + -8/23. Let j(k) be the first derivative of 0*k**3 - c*k**4 + 1/2*k**2 + 0*k - 4. Factor j(w).
-w*(w - 1)*(w + 1)
Let a be (-6)/16*78/(-18). Let x = a - 101/72. Factor 4/9*r - 2/9*r**4 + 0*r**2 - 4/9*r**3 + x.
-2*(r - 1)*(r + 1)**3/9
Suppose 4*f - 6 = 4*x - 7*x, -10 = -5*x + 4*f. Let m(t) be the first derivative of 0*t**4 + t**x - 1/3*t**6 + 0*t + 3 + 4/5*t**5 - 4/3*t**3. Factor m(c).
-2*c*(c - 1)**3*(c + 1)
Let v(u) = u**2 - 7*u - 5. Let c be v(8). Let y(w) be the third derivative of 1/30*w**6 + 2*w**2 + 1/30*w**5 + 0 + 0*w**c + 1/96*w**4 + 0*w. Factor y(d).
d*(4*d + 1)**2/4
Suppose -4*b - 3*j - 6 = -24, 5*j - 2 = -2*b. Let t be (b/10)/(3/2). Solve 2/5*l - t*l**2 + 0 = 0 for l.
0, 1
Suppose -2*f - 5 = -9. Factor -2 - 1/2*q**2 - f*q.
-(q + 2)**2/2
Let g be (6/16)/((-14)/4 - -5). Find u, given that -1/4*u**3 + 0*u - g*u**2 + 0 = 0.
-1, 0
Let h(q) be the first derivative of q**5/25 - 2*q**4/5 + 2*q**3/5 + 4*q**2 + 5*q + 31. Factor h(r).
(r - 5)**2*(r + 1)**2/5
Let c = 16 - 11. Factor -4*p**5 - 24*p**4 - 75*p**3 + p**c - 24 - 101*p + 17*p - 114*p**2.
-3*(p + 1)**2*(p + 2)**3
Let c(t) be the second derivative of -t**6/40 + 3*t**5/40 + t**4/16 - t**3/4 + 15*t. Factor c(f).
-3*f*(f - 2)*(f - 1)*(f + 1)/4
Let p(o) = -o**4 - o. Let q(y) = 7*y**4 + 16*y**3 + 20*y**2 + 11*y. Let u(x) = -3*p(x) - q(x). Factor u(r).
-4*r*(r + 1)**2*(r + 2)
Let z(l) be the first derivative of 5/48*l**4 + 2 + 1/12*l**3 + 2*l + 3/80*l**5 + 0*l**2. Let o(u) be the first derivative of z(u). Solve o(p) = 0.
-1, -2/3, 0
Let u(j) be the first derivative of -2*j**5/65 + j**4/13 + 2*j**3/39 - 2*j**2/13 + 34. Suppose u(w) = 0. Calculate w.
-1, 0, 1, 2
Suppose -4*r = -131 + 39. Let d = r + -21. Let 0*h + h**d - 1/2*h**3 + 0 = 0. What is h?
0, 2
Factor -2*l - 2/5*l**2 - 12/5.
-2*(l + 2)*(l + 3)/5
Let f(d) = -6*d**5 + 4*d**4 + 10*d**3 + 4*d - 4. Let j(p) = p**4 - p**2 - p + 1. Let z(r) = -f(r) - 4*j(r). Find s, given that z(s) = 0.
-1, 0, 1/3, 2
Let k(u) = u**3 + u**2 + u + 1. Let y = 4 + -2. Let v(m) = -2 + y*m**3 + 2*m**2 + 4*m - 3*m + 3. Let s(i) = -3*k(i) + 2*v(i). Suppose s(w) = 0. Calculate w.
-1, 1
Let l = 0 + 4. Factor 5*x**3 + 0*x**3 - x + x**l - 4*x**3 - x**2.
x*(x - 1)*(x + 1)**2
Let d = 2798 + -30807/11. Let m = 305/99 + d. Determine v so that 2/9*v**2 + m - 2/3*v = 0.
1, 2
Let s(r) be the third derivative of -r**5/20 + r**4/8 + r**3 - 12*r**2. Suppose s(m) = 0. Calculate m.
-1, 2
Let -9*j**2 + 5*j**2 + 5*j**2 - 4*j + 9*j = 0. What is j?
-5, 0
Suppose -2*d + 4*c = 4, 1 = -c + 4. Factor -3/4*w + 0 + 9/4*w**3 - 3/2*w**d + 0*w**2.
-3*w*(w - 1)**2*(2*w + 1)/4
Let o(v) be the second derivative of 0*v**2 - 1/4*v**4 + 1/3*v**3 + 0 + 0*v**5 + 1/30*v**6 + 7*v. Factor o(m).
m*(m - 1)**2*(m + 2)
Let o be 5 + -7 - 29/(-2). Let o*n**3 - 2*n + 0 + 0*n**2 = 0. Calculate n.
-2/5, 0, 2/5
Let g(p) = -3*p**2 - 18*p - 12. Let x be g(-5). Let n(i) be the first derivative of 0*i**2 - 2/7*i - 2 + 2/21*i**x. Factor n(l).
2*(l - 1)*(l + 1)/7
Let o = -252/19 + 1825/76. Let k = -191/20 + o. Factor 0 - 2/5*i**3 - 4/5*i - k*i**2.
-2*i*(i + 1)*(i + 2)/5
Let a be (8*1/(-10))/((-8)/20). Let b(f) be the first derivative of 15/4*f**4 + 1 + 2*f**3 + 0*f**a + 0*f. Factor b(y).
3*y**2*(5*y + 2)
Suppose -2 = 3*z - 11. Suppose 8 + 10 = n + 3*q, -z*n + q = -4. Factor 19/3*x**2 - 11/3*x - 10/3*x**n + 2/3.
-(x - 1)*(2*x - 1)*(5*x - 2)/3
Suppose -30 = t - 5*b, 6*t = 5*t + 3*b - 24. Let p be t/(-12)*(-8)/(-20). Find d, given that -p*d**4 + 0 - 1/4*d**5 + 1/2*d**2 + 0*d**3 + 1/4*d = 0.
-1, 0, 1
Let z = -8 - -11. Let j(c) be the third derivative of 0*c + 0 + 0*c**z + 2*c**2 + 1/36*c**4 + 1/90*c**5. Let j(s) = 0. What is s?
-1, 0
Suppose 7*m - 69 = 99. Let s be m/18 + 4/6. Factor -4/3 - 2*r + 2/3*r**3 + 0*r**s.
2*(r - 2)*(r + 1)**2/3
Let q be 7/(-21)*(2 + 1). Let n = 3 - q. Factor x**2 - x - 6*x**4 + 2*x**4 + 3*x**n + x**3.
-x*(x - 1)**2*(x + 1)
Let c(n) = -3*n**4 - 5*n**3 - 9*n**2 - 5*n - 3. Let l(d) = -5*d**4 - 8*d**3 - 14*d**2 - 8*d - 5. Let z(u) = 8*c(u) - 5*l(u). Factor z(s).
(s - 1)**2*(s + 1)**2
Let o be (-2)/(-5) - (-196)/35. Suppose -2 + s**2 - 4*s - 3*s + o*s = 0. Calculate s.
-1, 2
Suppose -4*k - m = -5*k - 8, 3*m - 34 = 5*k. Let t = k + 8. Factor 2 + 4*c**t + 2*c**4 - c**4 - 3*c**4 - 4*c.
-2*(c - 1)**3*(c + 1)
Determine v so that 2/11*v**2 + 2/11*v**4 + 0 + 0*v + 4/11*v**3 = 0.
-1, 0
Let t(c) be the first derivative of c**6/84 + c**5/30 + c**4/42 - c**2/2 + 1. Let h(d) be the second derivative of t(d). What is z in h(z) = 0?
-1, -2/5, 0
Let i = 1/56 + 1/8. Suppose i*g + 1/7*g**2 - 2/7 = 0. Calculate g.
-2, 1
Determine y so that -19*y**2 + 0*y**3 - 3*y**2 + 25*y + 2*y**2 + 5*y**3 - 10 = 0.
1, 2
Suppose 0*u + 5*u + 30 = 0. Let q(g) = 8*g**3 - 5*g**2 - 8*g + 5. Let t(c) = -9*c**3 + 6*c**2 + 9*c - 6. Let n(l) = u*q(l) - 5*t(l). Factor n(i).
-3*i*(i - 1)*(i + 1)
Let v be 44/20 + 1*-2. Let 2/5*q + v + 1/5*q**2 = 0. Calculate q.
-1
Let u(p) = -p**3 - 2*p**2 + 7*p - 5. Let j(o) = -o**3 + o**2 + o + 1. Let m(n) = -4*j(n) + u(n). Let h(d) be the first derivative of m(d). Factor h(x).
3*(x - 1)*(3*x - 1)
Let s(n) be the third derivative of 0*n + 0*n**3 + 0*n**7 + 9*n**2 - 1/2352*n**8 + 0 + 1/420*n**6 - 1/168*n**4 + 0*n**5. Solve s(p) = 0 for p.
-1, 0, 1
Let f(l) be the third derivative of -1/60*l**5 + 0*l**3 + 0*l + 6*l**2 + 0 + 1/8*l**4. Solve f(i) = 0.
0, 3
Let v(u) = u**3 - 12*u**2 + 13*u - 20. Let h be v(11). F