 = 2 - z. Factor -2/5*j**n - 2/5 + 4/5*j.
-2*(j - 1)**2/5
Suppose 3*k = m + m + 1, 5*m - 8 = 4*k. What is s in 3*s**k + 20*s - 19*s**2 - 8*s + 7*s**2 = 0?
0, 2
Let o(v) = -44*v**3 + 16*v**2 + 88*v - 28. Let l(m) = 8*m**3 - 3*m**2 - 16*m + 5. Let a(z) = 28*l(z) + 5*o(z). Factor a(p).
4*p*(p - 2)*(p + 1)
Let v(b) be the first derivative of -b**3/3 - b**2/2 + 2*b - 7. Find u, given that v(u) = 0.
-2, 1
Determine c, given that -4/3*c**4 + 0 + 8/3*c**3 - 2*c**5 + 4/3*c**2 - 2/3*c = 0.
-1, 0, 1/3, 1
Let d(o) be the second derivative of o**5/40 - o**4/4 + 3*o**3/4 - 8*o. Solve d(x) = 0 for x.
0, 3
Let w be (-46)/(-14) + 4/(-14). Let l = -1 + 2. Solve -2*k**3 + l + k**w - k**2 - 3*k + 4*k = 0.
-1, 1
Solve 9/4*y**3 + 0*y - 5/8*y**4 + 1/2 - 17/8*y**2 = 0 for y.
-2/5, 1, 2
Let t be (-10)/(-30) + 5/3. Suppose t*i + 2*i**2 + 6*i - 27*i**3 + 19*i**3 - 2 = 0. Calculate i.
-1, 1/4, 1
Let b be 3/1 - (-2 + 2). Suppose 2*q + 9*q**2 + b + 3*q**3 - q + 8*q = 0. What is q?
-1
Factor 1/5*t**4 - 11/5*t - 6/5*t**3 + 1/5*t**5 - 14/5*t**2 - 3/5.
(t - 3)*(t + 1)**4/5
Let d = -98 + 66. Let f be d/(-10) + (-3)/15. Factor n**f - 3*n**3 + 0*n**3 + n**2 + n**4.
n**2*(n - 1)**2
Let r(d) be the third derivative of 0*d + 3/20*d**7 - 1/3*d**3 + 3*d**2 + 7/192*d**8 - 5/8*d**4 - 59/120*d**5 + 0 + 11/480*d**6. What is a in r(a) = 0?
-2, -1, -2/7, 1
Let p be 2 + -1 + 0 + (65 - 18). Factor 36*j**4 - 9*j**3 + 0*j - p*j**5 + 0 + 3/4*j**2.
-3*j**2*(4*j - 1)**3/4
Suppose -3*x + 3*g = -18, 0 = 4*x + 3*g - 13 - 4. Suppose 30 = x*s - 320. Factor -7 + 82*j**2 - s*j**3 - 4*j**2 - 1.
-2*(j - 1)*(5*j - 2)*(7*j + 2)
Let s = -379/3 + 133. Let o = s + -13/6. Factor x**4 + 1/2 + o*x**2 - 7/2*x**3 - 5/2*x.
(x - 1)**3*(2*x - 1)/2
Factor -120*f**3 + 96 + 240*f**2 - 49*f + 30*f**4 - 127*f - 3*f**5 - 64*f.
-3*(f - 2)**5
Factor 11/5*l**2 + 3/5*l**3 + l - 3/5.
(l + 1)*(l + 3)*(3*l - 1)/5
Solve -1/4*z**3 + 3/4*z - 5/8*z**2 + 0 + 1/8*z**4 = 0.
-2, 0, 1, 3
Let s(b) be the first derivative of b**5/15 - b**4/3 + 2*b**3/3 - 3*b**2/2 - 7. Let m(f) be the second derivative of s(f). Let m(g) = 0. What is g?
1
Let g(u) = 6*u**3 - 13*u**2 - 5*u + 5. Let m(p) = 3*p**3 - 6*p**2 - 3*p + 3. Let n(c) = 3*g(c) - 5*m(c). Factor n(a).
3*a**2*(a - 3)
Let r(b) be the second derivative of 5/6*b**4 + 1/6*b**6 - 1/42*b**7 + b - 5/6*b**3 + 1/2*b**2 - 1/2*b**5 + 0. Factor r(o).
-(o - 1)**5
Let z be (3*2/(-15))/((-8)/10). Factor 1/2*y**2 + z*y + 0.
y*(y + 1)/2
Let g = -1222/9 - -136. Factor 0 + g*w - 2/9*w**2.
-2*w*(w - 1)/9
Let x be 2/15 + 12/(-90). Determine r, given that -1/3*r - r**3 + 1/3*r**4 + r**2 + x = 0.
0, 1
Let u(n) be the third derivative of n**7/630 - n**6/90 + n**5/36 - n**4/36 + 9*n**2. Suppose u(h) = 0. Calculate h.
0, 1, 2
Suppose i - 5 = -2*z - 0*z, 9 = -3*i. Let j(g) be the first derivative of 0*g + 2 - 1/2*g**z + 0*g**2 - 2/3*g**3. Suppose j(b) = 0. What is b?
-1, 0
Let w(a) be the third derivative of a**5/60 - a**4/4 - 2*a**3/3 - 3*a**2. Let r be w(7). Suppose -c**2 + r*c - 2 - 2*c**2 + 2*c**2 = 0. Calculate c.
1, 2
Suppose -5*u + 5*a = -30, -3 = 4*u + 5*a - 0. Find l, given that 3*l**4 + 3*l**u - 102 + 102 = 0.
-1, 0
Let u(t) be the first derivative of t**4/4 + t**3 + t**2 - 4. Let u(h) = 0. Calculate h.
-2, -1, 0
Let d be 3/(-2) - -3 - (-4)/8. Let p(r) be the first derivative of 1/3*r**3 + 0*r - d + 0*r**2 - 1/4*r**4. Factor p(m).
-m**2*(m - 1)
Let c = -777 + 777. Factor 1/2*m**3 - 1/2*m**5 + 0 - 1/2*m**4 + 1/2*m**2 + c*m.
-m**2*(m - 1)*(m + 1)**2/2
Let q(x) be the first derivative of -3*x**7/700 + x**6/300 + 2*x**5/75 - x**4/15 - 4*x**3/3 + 5. Let n(y) be the third derivative of q(y). Factor n(u).
-2*(u + 1)*(3*u - 2)**2/5
Let v(f) be the third derivative of -f**8/112 + f**7/70 + f**6/40 - f**5/20 + 7*f**2. Determine k, given that v(k) = 0.
-1, 0, 1
Solve 4/7*i**2 + 0*i - 16/7 = 0.
-2, 2
Factor -157*h**2 + 113*h**2 + 76*h - 36 + 2*h**3 + 2*h**3.
4*(h - 9)*(h - 1)**2
Suppose 2*f = 2*p + 3*p - 34, p - 3*f - 12 = 0. Suppose 4*h = 6*b - b + 8, -3*h + b = -p. Let 0*t - 5*t**2 + t**3 + t + 3*t**h = 0. What is t?
0, 1
Let n = -4 - -6. Factor 2*z**3 - 4 + z**n + 4 - 2*z**4 + z**2 - 2*z.
-2*z*(z - 1)**2*(z + 1)
Let x(m) be the third derivative of 5*m**2 + 8/3*m**3 - m**4 + 0*m + 0 + 1/5*m**5 - 1/60*m**6. Determine h, given that x(h) = 0.
2
Let o(c) be the first derivative of 4*c**5/45 - 2*c**4/3 + 20*c**3/27 + 14. Let o(t) = 0. Calculate t.
0, 1, 5
Factor -2/3 - 1/3*u**4 + 1/3*u + u**2 - 1/3*u**3.
-(u - 1)**2*(u + 1)*(u + 2)/3
Let d(v) be the second derivative of v**4/4 + v**3 - 9*v**2/2 + 18*v. Factor d(u).
3*(u - 1)*(u + 3)
Let l be 6/2 + 51/(-18). Let i(z) be the second derivative of 2*z + 0 + 0*z**3 + 0*z**2 + l*z**4 - 1/10*z**5. Factor i(k).
-2*k**2*(k - 1)
Let t be (-240)/(-546) + 4/(-14). Let q = t - -9/26. Factor 1/2 + 0*f + 0*f**3 + q*f**4 - f**2.
(f - 1)**2*(f + 1)**2/2
Factor -2/13*c**2 - 2/13 + 4/13*c.
-2*(c - 1)**2/13
Suppose -2*b + 3 = 3*p - b, p + 3*b + 7 = 0. Factor 2/5 - 2*l + 8/5*l**p.
2*(l - 1)*(4*l - 1)/5
Let r(z) be the second derivative of 0*z**2 + 1/20*z**5 + 0 - 1/90*z**6 + 0*z**3 - 1/18*z**4 + 3*z. Factor r(k).
-k**2*(k - 2)*(k - 1)/3
Let y(d) be the first derivative of 3 + 0*d + 1/12*d**4 + 1/3*d**3 + 1/180*d**6 + 0*d**2 - 1/30*d**5. Let n(h) be the third derivative of y(h). Factor n(a).
2*(a - 1)**2
Let z(p) be the second derivative of -540*p**7/7 + 90*p**6 - 81*p**5/2 + 35*p**4/4 - 5*p**3/6 - 9*p. Let z(s) = 0. Calculate s.
0, 1/6, 1/3
Let n(f) = -f**3 - 7*f**2 - 7*f - 4. Let l be n(-6). Suppose -l*d - 2*d = 0. Factor d*u**4 + u**2 + u**3 - 2*u**3 + u**5 - u**4.
u**2*(u - 1)**2*(u + 1)
Let o = 11 - 13. Let b be (-6)/(-6) + o + 1. Factor b - 1/2*x**5 + 0*x**2 + x**4 + 0*x - 1/2*x**3.
-x**3*(x - 1)**2/2
Let f(g) = -2 + g + 9 + 3. Let y be f(-8). Factor -j**4 + 2*j**5 - 2*j**3 - 2*j**y - 5*j**4 + 8*j**3.
2*j**2*(j - 1)**3
Let r(l) = l**2 - 6. Let h be r(0). Let y(p) = 4*p**2 + 6*p. Let i(b) = b**3 - 3*b**2 - 7*b. Let z(u) = h*y(u) - 4*i(u). Factor z(q).
-4*q*(q + 1)*(q + 2)
Factor 6/13*q**2 - 4/13*q - 2/13*q**3 + 0.
-2*q*(q - 2)*(q - 1)/13
Let p(g) = g**2 + 5*g - 3. Let r be p(-6). Factor z**4 + z**2 - 1/4*z - 1/4*z**5 - 3/2*z**r + 0.
-z*(z - 1)**4/4
Let j(v) be the third derivative of 1/8*v**4 + 1/5*v**3 + v**2 + 0 + 1/50*v**5 + 0*v. Factor j(z).
3*(z + 2)*(2*z + 1)/5
Let d(r) be the third derivative of 4/9*r**3 + 9*r**2 + 0*r - 2/45*r**5 + 7/90*r**6 + 0 - 7/18*r**4. Suppose d(z) = 0. What is z?
-1, 2/7, 1
Let f(s) = -5*s**2 + 4*s - 1. Let r(y) be the first derivative of 5*y - 19/2*y**2 - 2 + 25/3*y**3. Let h(g) = -11*f(g) - 2*r(g). Factor h(i).
(i - 1)*(5*i - 1)
Let x(j) be the third derivative of j**8/3024 + j**7/630 + j**6/540 - j**5/270 - j**4/72 - j**3/54 + 25*j**2. Factor x(z).
(z - 1)*(z + 1)**4/9
Let f(n) be the first derivative of n**5 + 5*n**4/2 - 5*n**3 - 10*n**2 + 20*n + 7. Factor f(a).
5*(a - 1)**2*(a + 2)**2
Let o(u) = -2*u - 8. Let l be o(-6). Let q(d) be the third derivative of -1/60*d**5 + 0 - 1/24*d**l + 0*d**3 + 0*d - 2*d**2. Find k, given that q(k) = 0.
-1, 0
Let s(j) = -j**2 - 5*j + 1. Let c be s(-5). Suppose -5*v = -2*g, -g + 4 = -c. Factor 0*d**v + 0 - 2/5*d**3 + 0*d + 4/5*d**4 - 2/5*d**5.
-2*d**3*(d - 1)**2/5
Let u be (-6)/(-4)*(-36)/(-27). Factor -2*j - j**2 + 3*j**u - 1 - 3*j**2.
-(j + 1)**2
Factor 3/2*z**2 + 0 + z + 1/2*z**3.
z*(z + 1)*(z + 2)/2
Suppose -16 = -0*i - i + 3*m, 5*m = i - 26. Find v such that -1 + 0*v**2 - 1 + i + v**2 = 0.
-1, 1
Let h(p) be the first derivative of -p**3/4 + 9*p**2/8 - 3*p/2 - 5. Factor h(z).
-3*(z - 2)*(z - 1)/4
Let l(y) be the first derivative of y**5 - 5*y**4/2 - 5*y**3 + 20*y**2 - 20*y + 32. Determine j so that l(j) = 0.
-2, 1, 2
Let g(u) = 5*u**5 + 4*u**4 + 2*u**3 - 8*u**2 - 7*u + 4. Let a(d) = -9*d**5 - 8*d**4 - 4*d**3 + 15*d**2 + 13*d - 7. Let j(c) = -4*a(c) - 7*g(c). Factor j(z).
z*(z - 1)*(z + 1)**2*(z + 3)
Let g(v) = -3*v + 12 + v**3 + 2*v + 12*v**2 + 0*v + 2*v. Let i be g(-12). Factor -2/7*d + i*d**2 + 0 + 2/7*d**3.
2*d*(d - 1)*(d + 1)/7
Suppose 3*z = -2*z + 10. Factor 4*a**z - a**2 + a + 5*a.
3*a*(a + 2)
Suppose 0 = -3*d - 3*r - 33, 5*d + r - 4*r = -15. Let x = d + 6. Factor 2/9*b**5 - 2/9*b**3 + x*b**2 + 0 + 0*b**4 + 0*b.
2*b**3*(b - 1)*(b + 1)/9
Let c(d) be the first derivative of d**6/15 + 6*d**5/25 + 3*d**4/10 + 2*