)/15*10/(-6). Factor w*o**2 + 0*o - z*o**3 - 8/9.
-2*(o - 2)**2*(o + 1)/9
Let l(j) = 2*j**5 - 5*j**3 - 3*j**2 + 3*j - 3. Let g(o) = -2*o**5 + 4*o**3 + 2*o**2 - 2*o + 2. Let t(n) = -3*g(n) - 2*l(n). Factor t(u).
2*u**3*(u - 1)*(u + 1)
Let d(f) be the second derivative of f**7/21 + 2*f**6/15 - f**4/3 - f**3/3 - 18*f. Let d(t) = 0. What is t?
-1, 0, 1
Let f = -1 - -6. Let v be (f/(-10))/(3/(-4)). Find w, given that -2/3 + 0*w**3 - v*w**4 + 0*w + 4/3*w**2 = 0.
-1, 1
Let k = 20 + -20. Let r be 46/14 - 3 - k. Suppose 0*q + 0 - r*q**3 + 0*q**2 = 0. Calculate q.
0
Let k(u) = -u**3 + 4*u**2 - u + 4. Let s be k(4). Let o be 0/(4 + -6 - s). What is c in 2/7*c**3 + 4/7*c + o - 6/7*c**2 = 0?
0, 1, 2
Let m(b) be the first derivative of b**7/105 - b**5/30 - 2*b**2 + 1. Let d(v) be the second derivative of m(v). Factor d(g).
2*g**2*(g - 1)*(g + 1)
Let k(t) = 13*t**5 - 20*t**4 - 4*t**3 + 4*t. Let r(y) = y**5 - y**4 + y. Let q(c) = -k(c) + 4*r(c). Factor q(u).
-u**3*(u - 2)*(9*u + 2)
Let t(h) = h**2 + 5*h - 2. Let z be t(-4). Let g = -2 - z. Factor 2/3*y**5 + 0*y - 2/3*y**3 + 2/3*y**2 - 2/3*y**g + 0.
2*y**2*(y - 1)**2*(y + 1)/3
Let s(d) = -1 - 3*d + 0 + 2*d. Let q be s(-5). Determine l so that -3*l**3 + 5*l**3 + 2*l - q*l = 0.
-1, 0, 1
Let c be 11/((-11)/(-8)) + -4. Factor w**c - w**2 + 1/2*w - 1/2*w**5 + 0*w**3 + 0.
-w*(w - 1)**3*(w + 1)/2
Factor 2/7*a - 2/7*a**3 - 2/7*a**2 + 2/7.
-2*(a - 1)*(a + 1)**2/7
Suppose -12 = -s - 2*s. Determine p, given that -12*p**4 - s*p**2 + 9*p + 14*p**2 - 4*p**3 - 2*p**5 + 0*p**5 - 3*p**5 + 2 = 0.
-1, -2/5, 1
Let u(q) = q**2 - q - 2. Let h be u(-1). Determine o, given that h + 1/3*o**2 - o = 0.
0, 3
Let y(x) be the first derivative of 5*x**6/2 + 111*x**5/20 - 21*x**4/4 - 41*x**3/4 + 3*x**2 + 3*x + 22. Find g, given that y(g) = 0.
-2, -1, -1/4, 2/5, 1
Let r(b) be the first derivative of 1/27*b**6 + 4 + 1/6*b**4 - 2/27*b**3 + 0*b - 2/15*b**5 + 0*b**2. Factor r(h).
2*h**2*(h - 1)**3/9
Factor 3*p**4 + 2*p**2 + 0*p**5 + 3*p**3 - 4*p**5 + 5*p**5 - p**2.
p**2*(p + 1)**3
Let v be ((-5)/10 - 3)*12/(-35). Let 0*r + v*r**4 + 0*r**2 + 0 + 2/5*r**5 + 0*r**3 = 0. Calculate r.
-3, 0
Let c(n) be the first derivative of 9*n**5/5 + 3*n**4/2 - n**3 + 6. Factor c(p).
3*p**2*(p + 1)*(3*p - 1)
Let z(v) be the first derivative of v**8/4200 + v**7/1050 - v**5/150 - v**4/60 + v**3 + 1. Let m(d) be the third derivative of z(d). Solve m(b) = 0 for b.
-1, 1
Let f be (-6)/14 - (-793)/1638. Let p(o) be the second derivative of -f*o**3 + 1/60*o**5 - o + 1/36*o**4 - 1/90*o**6 + 0 + 0*o**2. Find k, given that p(k) = 0.
-1, 0, 1
Let y(g) be the third derivative of g**9/60480 - g**8/8960 + g**6/720 + g**4/8 - 2*g**2. Let p(u) be the second derivative of y(u). Factor p(h).
h*(h - 2)**2*(h + 1)/4
Let o(u) be the third derivative of -u**6/300 + u**5/75 + 7*u**4/60 + 4*u**3/15 - 31*u**2 - 2*u. Factor o(w).
-2*(w - 4)*(w + 1)**2/5
Let t = -19 + 19. Let v(n) be the third derivative of 1/120*n**6 + 1/36*n**5 + 1/72*n**4 - n**2 + 0*n + t + 0*n**3 - 1/252*n**8 - 1/126*n**7. Solve v(i) = 0.
-1, -1/4, 0, 1
Let m = 27171 - 80783/3. Let z = m - 2140/9. Factor 40/9*a - 8/9 - z*a**2.
-2*(5*a - 2)**2/9
Let u(b) be the second derivative of -b**5/20 + 5*b**4/12 + b**3/6 - 5*b**2/2 - 3*b - 1. Factor u(c).
-(c - 5)*(c - 1)*(c + 1)
Let a(p) = -15*p**5 - 51*p**4 + 86*p**3 + 16*p**2 - 35*p - 1. Let i(y) = y**5 - y**2 + y - 1. Let o(t) = a(t) + 6*i(t). Find u, given that o(u) = 0.
-7, -1/3, 1
Let t be 6/((3 - 1)*1). Factor 0*p**2 + 0*p + 1/2*p**4 + 0 + 1/2*p**t.
p**3*(p + 1)/2
Let r(a) = 6*a**4 + 30*a**2 - 21*a + 6. Let k(w) = -w**4 - 6*w**2 + 4*w - 1. Let p(v) = -21*k(v) - 4*r(v). Let p(y) = 0. What is y?
-1, 1
Let c(n) be the third derivative of 0*n**5 + 0*n**3 - 1/24*n**4 + 1/120*n**6 - 2*n**2 + 0*n + 0. Let c(r) = 0. Calculate r.
-1, 0, 1
Let o(m) be the first derivative of -3*m**5/5 + 9*m**4/4 - 3*m**3 + 3*m**2/2 - 4. Factor o(d).
-3*d*(d - 1)**3
Let f(p) be the second derivative of -p**7/462 - p**6/55 - p**5/20 - p**4/66 + 2*p**3/11 + 4*p**2/11 + 17*p. Factor f(o).
-(o - 1)*(o + 1)*(o + 2)**3/11
Let v(w) be the first derivative of 0*w - 1/21*w**6 + 4/21*w**3 + 1/7*w**2 - 3 - 4/35*w**5 + 0*w**4. Factor v(s).
-2*s*(s - 1)*(s + 1)**3/7
Let p = -17 - -23. Suppose p*s = 3*s. Factor 2/7*w**4 - 2/7*w**2 + 0*w**3 + 0 + s*w.
2*w**2*(w - 1)*(w + 1)/7
Let n = 389/46 - 22/23. Factor 9/2*d**2 + 3 - 3/2*d**4 + 3/2*d**3 - n*d.
-3*(d - 1)**3*(d + 2)/2
Let n = -10 + 13. Let x(g) be the second derivative of -1/36*g**4 + 1/18*g**n + 0*g**2 + 0 - 2*g. Factor x(h).
-h*(h - 1)/3
Let i(h) be the second derivative of 1/24*h**4 + h + 1/40*h**5 + 0*h**2 - 1/60*h**6 - 1/12*h**3 + 0. Factor i(s).
-s*(s - 1)**2*(s + 1)/2
Let b = -1 + 3. Factor y**2 - y**2 - 3*y - y**2 + 0*y - b.
-(y + 1)*(y + 2)
Let z(w) = -w**5 + 2*w**4 - 3*w**3 - 6*w**2. Let o(d) = d**4 - d**2. Let f(x) = -5*o(x) + z(x). Determine n so that f(n) = 0.
-1, 0
Let l(q) be the third derivative of 0*q**5 - 9*q**2 + 0*q**6 + 0*q**4 + 0*q + 0*q**3 - 1/504*q**8 - 1/315*q**7 + 0. Factor l(o).
-2*o**4*(o + 1)/3
Let k = -9/11 - -101/110. Let b(d) be the second derivative of 3/100*d**5 - 3*d + 0 + 0*d**2 + 0*d**4 - k*d**3. Find h, given that b(h) = 0.
-1, 0, 1
Let s be 3/(-2)*(-6 - -4). Suppose 2 = 5*b - s. Factor 18*d**2 + 2 + b + 1 - 22*d.
2*(d - 1)*(9*d - 2)
Let t(j) be the third derivative of -j**5/420 - j**4/84 + 10*j**2. Factor t(y).
-y*(y + 2)/7
Let b(q) be the first derivative of 4*q**3/9 + 80*q**2/3 + 1600*q/3 + 19. Suppose b(l) = 0. What is l?
-20
Let g be 6/(-8)*(-184)/759. Find d, given that 0*d**2 - 4/11*d**4 + 0*d - 2/11*d**5 + 0 - g*d**3 = 0.
-1, 0
Factor -9/2*h - 3/2*h**2 - 3.
-3*(h + 1)*(h + 2)/2
Let q(z) = 4*z**5 - 9*z**3 - 5. Let w = 11 - 13. Let u(l) = -6*l**5 + 2*l**3 + 2*l**3 + 2 + 4*l**5. Let m(x) = w*q(x) - 5*u(x). Factor m(j).
2*j**3*(j - 1)*(j + 1)
Let d(q) be the first derivative of q**8/5040 + 2*q**3/3 + 1. Let c(g) be the third derivative of d(g). Let c(w) = 0. What is w?
0
Factor -1/4*t**3 - 3/4*t**5 - 5/4*t**4 + 1/4*t**2 + 0 + 0*t.
-t**2*(t + 1)**2*(3*t - 1)/4
Let a(y) be the second derivative of 0*y**3 + 0*y**4 + 3*y + 0 + 0*y**2 + 1/75*y**6 + 1/50*y**5. Suppose a(b) = 0. What is b?
-1, 0
Suppose 2*f + f - 78 = 0. Let i be (-8)/52 + 108/f. Solve -4*r**4 + 4*r**3 + 14*r**i - 8*r**4 - 4*r - 2 = 0 for r.
-1, 1
Let b(a) = 3*a**4 + 6*a**3 - 12*a - 9. Let j(q) = 3*q**4 + 6*q**3 - 11*q - 8. Let i(r) = 5*b(r) - 6*j(r). Factor i(m).
-3*(m - 1)*(m + 1)**3
Let z(p) be the first derivative of -16*p**3/3 + 18*p**2 - 8*p + 7. Solve z(d) = 0 for d.
1/4, 2
Let j be 2/3 + (-3)/(-9). Suppose 0*s**5 - 3*s**5 - 2*s**2 - 3*s + j + 2*s**5 + 2*s**3 + 2*s + s**4 = 0. Calculate s.
-1, 1
Let c be (10*(-1)/(-24))/((-50)/(-20)). Factor -1/6 + 1/3*x + c*x**4 + 0*x**2 - 1/3*x**3.
(x - 1)**3*(x + 1)/6
Let b be 29/9 - (4 - 1). Let u(y) = y**2 - y + 2. Let l be u(2). Factor -4/9*s**2 + 0 + 2/9*s**l - b*s**3 + 0*s.
2*s**2*(s - 2)*(s + 1)/9
Let w be (-10)/2 + 3 - -2. Suppose -5*p - 3*q + 7 = 0, -1 + w = -3*p - 5*q. Let 3 - 3 - 2*j + p*j**3 = 0. What is j?
-1, 0, 1
Let p(t) be the third derivative of t**4/24 + t**3 - t**2. Let q be p(-6). Find a such that -a + 2*a**3 + q - a**5 + 0 = 0.
-1, 0, 1
Suppose -4*u = -3*s - 9 - 6, -3*s = -3*u + 9. Find z, given that -12*z - 3*z**2 + 0*z**2 + u*z**2 + z**2 = 0.
0, 3
Suppose 5 = 3*c - c + y, -5*c - 2*y + 15 = 0. Factor -9*j**2 + 7*j**c + 1 + 8*j**4 - 5*j**3 - 1 - 2*j + j**4.
j*(j - 1)*(j + 1)**2*(7*j + 2)
Let y(f) be the first derivative of -1/21*f**6 + 5 + 1/7*f**2 + 0*f + 0*f**4 + 4/35*f**5 - 4/21*f**3. Factor y(l).
-2*l*(l - 1)**3*(l + 1)/7
Let q(y) be the third derivative of 0*y**3 + 0*y + 0*y**6 + 0*y**4 - 1/840*y**7 + 0*y**5 + 0 + 1/1344*y**8 + 4*y**2. Factor q(w).
w**4*(w - 1)/4
Let v(f) be the third derivative of f**8/168 - f**7/105 - 2*f**6/15 + 2*f**5/5 - 38*f**2. Let v(u) = 0. Calculate u.
-3, 0, 2
Suppose 3*l + 5 - 14 = 0. Let s(z) be the first derivative of 0*z + 1/10*z**2 + 2 + 1/15*z**l. Factor s(p).
p*(p + 1)/5
Let x(g) = 3 + 0*g + g + 6*g**2 + 0*g**2 - 1. Let h(u) = 5*u**2 + u + 2. Let a(k) = -7*h(k) + 6*x(k). Factor a(n).
(n - 2)*(n + 1)
Let n(u) be the third derivative of 0 + 0*u**3 + 0*u + 1/45*u**5 + 1/60*u**6 + u**2 + 1/315*u**7 + 0*u**4. Factor n(i).
2*i**2*(i + 1)*(i + 2)/3
Let c be 0/1 