*k - 18. Let d(b) = 4*g(b) - 3*t(b). Factor d(j).
-3*(j + 5)*(3*j + 1)
Let u(h) = -2*h**2 - 2*h - 7. Let f(d) = 4*d**2 + 4*d + 15. Let z(b) = 3*f(b) + 7*u(b). Let n(r) = -3*r**2 - 3*r - 5. Let m(o) = 4*n(o) - 5*z(o). Factor m(s).
-2*s*(s + 1)
Solve -2/3*m + 0 + 0*m**2 + 1/6*m**4 + 1/2*m**3 = 0.
-2, 0, 1
Factor -3*k**5 + 20*k**4 - 10*k**3 - 9*k**5 + 2*k**3.
-4*k**3*(k - 1)*(3*k - 2)
Suppose 2 = 3*q - 4. Factor q*l**3 - l**3 + 2*l**3 - 6 + l - 10*l.
3*(l - 2)*(l + 1)**2
Let u be 8 + 1/(-1) + 0. Let y(z) be the third derivative of -1/30*z**5 + 2*z**2 - 1/36*z**4 - 1/60*z**6 + 0*z + 0 + 0*z**3 - 1/315*z**u. Factor y(i).
-2*i*(i + 1)**3/3
Let v be (-6)/18 - 16/(-3). Let c be (-6)/v*(-16)/6. Suppose -24/5*b - c - 12/5*b**2 - 2/5*b**3 = 0. Calculate b.
-2
Let x = -47 + 142/3. Let h = 48 - 139/3. Let -h*s**2 - x*s - 2*s**3 + 0 = 0. What is s?
-1/2, -1/3, 0
Let v(n) be the second derivative of -3*n + 1/9*n**3 + 0 + 0*n**2 + 1/18*n**4. Factor v(t).
2*t*(t + 1)/3
Let k(q) be the second derivative of 3*q + 43/36*q**4 + 28/45*q**6 + 8/63*q**7 + 11/18*q**3 + 1/6*q**2 + 73/60*q**5 + 0. Factor k(f).
(f + 1)**3*(4*f + 1)**2/3
Let o(w) be the third derivative of w**8/168 - 2*w**7/105 + w**6/60 - 15*w**2. Factor o(g).
2*g**3*(g - 1)**2
Let o(a) be the first derivative of 2*a**6/21 + 8*a**5/35 - 5*a**4/7 - 40*a**3/21 + 8*a**2/7 + 32*a/7 + 4. Determine h so that o(h) = 0.
-2, -1, 1, 2
Let c(u) be the second derivative of 1/6*u**4 + 9*u + 0*u**2 + 0 - 1/6*u**3. Let c(s) = 0. Calculate s.
0, 1/2
Let b(w) be the third derivative of 1/390*w**5 - 5*w**2 + 0*w**4 + 0*w + 0 - 1/39*w**3. Suppose b(d) = 0. Calculate d.
-1, 1
Let p(y) be the first derivative of 1/6*y**4 + 0*y**3 - 1 - y + 0*y**2 - 2/5*y**5. Let l(h) be the first derivative of p(h). Determine c, given that l(c) = 0.
0, 1/4
Let m(z) be the first derivative of 3*z**5/5 - 3*z**4/2 + 3*z**2 - 3*z + 3. Let m(a) = 0. What is a?
-1, 1
Let y = -17/36 + 43/90. Let q(h) be the third derivative of 0 - y*h**6 - 4*h**2 - 7/72*h**4 + 1/9*h**3 + 7/180*h**5 + 0*h. Determine r so that q(r) = 0.
1/2, 1, 2
Factor 136*c - 50*c**3 + 0*c**4 + 72*c**3 + 3*c**4 + 80 - c**4 + 84*c**2.
2*(c + 2)**3*(c + 5)
Let k be -4*1*((-3)/(-9))/(-1). Suppose c**2 + 0*c - 1/3*c**3 - k = 0. Calculate c.
-1, 2
Suppose 3*k = 2*j - 8, 5*j - k = -0*j + 20. Let z be (0/(-2))/(-3 + 1). Factor 0*a + 0*a**3 + 0*a**2 - a**j + 7/2*a**5 + z.
a**4*(7*a - 2)/2
Let x be 8/28 - (-9)/42. Let h(r) be the first derivative of 0*r**2 - 2/3*r**3 - 1 + 0*r + x*r**4. Factor h(j).
2*j**2*(j - 1)
Let s(v) be the third derivative of v**8/1176 - 2*v**7/245 + 11*v**6/420 - v**5/105 - v**4/7 + 8*v**3/21 - 24*v**2. Factor s(w).
2*(w - 2)**3*(w - 1)*(w + 1)/7
Suppose 4*s - 9 = -b, -4*b + 2*s - 22 = -8*b. Solve -7*x**3 - x**2 + b*x**3 + x**3 = 0.
-1, 0
Let m(n) = -n**2 - n + 1. Let r(o) = o**2 + 13*o - 5. Let b(z) = -5*m(z) - r(z). Factor b(g).
4*g*(g - 2)
Factor -147/4*f**3 - 3/4*f**5 + 0*f + 21/2*f**4 + 0 + 0*f**2.
-3*f**3*(f - 7)**2/4
Let p be 14/91 - (-2)/(-13). Factor 2/11*u**2 + p + 2/11*u.
2*u*(u + 1)/11
Let b be 50/12 - (343/42 + -8). Factor 2/9*j**b + 2/3*j**2 - 8/9*j**3 + 0*j + 0.
2*j**2*(j - 3)*(j - 1)/9
Let j(z) be the first derivative of z**6/165 - z**5/110 - z**4/22 + 5*z**3/33 - 2*z**2/11 + 2*z + 1. Let w(b) be the first derivative of j(b). Factor w(u).
2*(u - 1)**3*(u + 2)/11
Factor -12*p**3 + 10*p - 6 - p**2 + 11*p + 16*p**2 + 0*p.
-3*(p - 2)*(p + 1)*(4*p - 1)
Suppose 3*q + 130 = 139. What is d in -13/4*d**q + 0 + 9/4*d**2 + 3/2*d**4 - 1/2*d = 0?
0, 1/2, 2/3, 1
Suppose 2*a - 9 = l, 0 = -2*a - 2*l - l + 5. Suppose 1/4*k**a + 1/4*k**2 + 0*k + 0 - 1/2*k**3 = 0. Calculate k.
0, 1
Factor -8*o - 128*o**3 - 338*o**4 + 69*o**3 - 201*o**3 - 112*o**2 - 182*o**3.
-2*o*(o + 1)*(13*o + 2)**2
Let j = 73/2 - 36. Suppose 0*n = -2*s + 3*n - 11, 2*s = -3*n + 19. Solve c - 1/2*c**s - j = 0 for c.
1
Let u(a) be the first derivative of a**5/10 + a**4/8 + 3. Factor u(t).
t**3*(t + 1)/2
Let k(h) be the first derivative of 5*h**6/9 - 8*h**5/5 + 3*h**4/2 - 4*h**3/9 - 2. Determine g so that k(g) = 0.
0, 2/5, 1
Let h(g) be the third derivative of g**8/336 - g**7/126 - g**6/180 + g**5/30 - g**4/72 - g**3/18 - 2*g**2. Factor h(j).
(j - 1)**3*(j + 1)*(3*j + 1)/3
Let w = 151/165 + -11/15. Factor -w*r**2 + 2/11*r + 2/11 - 2/11*r**3.
-2*(r - 1)*(r + 1)**2/11
Let h = -9 - -11. Let m be ((-3)/(-2))/(1/h). Solve 0*t - m*t**3 + 3*t - 3*t**4 + t**2 + 2*t**2 = 0 for t.
-1, 0, 1
Let i = -6 + 11. Let t(p) be the third derivative of -1/210*p**i + 1/420*p**6 - 2*p**2 + 0*p**3 + 0*p + 0 + 0*p**4. Factor t(b).
2*b**2*(b - 1)/7
Determine j, given that 0 - 2/19*j**2 - 6/19*j = 0.
-3, 0
Factor -8/3*z**2 + 0 + 0*z + 4/3*z**3.
4*z**2*(z - 2)/3
Let g(y) = -6 - 1 + y + 4. Let a be g(5). Factor 0*r**a - 2/7*r**3 + 0*r + 0 - 2/7*r**4.
-2*r**3*(r + 1)/7
Let b(p) = -p**5 + p**4 + p**3 - 1. Let j(v) = -13 + 40*v**5 + 4 + 4*v**2 + 7 - 42*v**4. Let g(a) = 2*b(a) - j(a). Suppose g(t) = 0. Calculate t.
-2/7, 0, 1/3, 1
Let a(s) = s**3 + 5*s**2 - 16*s - 10. Let o be a(-7). Let q(x) be the third derivative of -1/12*x**5 + 1/12*x**o + 0*x + 0 + x**2 + 0*x**3. Factor q(j).
-j*(5*j - 2)
Find q such that 1/4 + 1/4*q**4 - 1/4*q**5 - 1/2*q**2 + 1/2*q**3 - 1/4*q = 0.
-1, 1
Let t = 0 + 7. Let z(u) be the third derivative of 1/504*u**8 + 2/315*u**t + 0 + 0*u**5 - u**2 + 0*u**3 + 0*u + 1/180*u**6 + 0*u**4. Solve z(q) = 0 for q.
-1, 0
Let u(z) be the third derivative of z**4/24 - z**3 + 2*z**2. Let y be u(6). What is j in -2/9*j**3 + 0*j + 0 + 4/9*j**4 + y*j**2 - 2/9*j**5 = 0?
0, 1
Suppose 2*k + 0*y + 4*y + 8 = 0, -3*k = 3*y. Let a(j) be the third derivative of -1/48*j**k + 1/6*j**3 - 1/120*j**5 - j**2 + 0 + 0*j. Let a(i) = 0. What is i?
-2, 1
Let g(v) = 4*v**4 + 2*v**3 - 4*v**2 - 12*v + 10. Let m(r) = r**4 + r**3 - r**2 - 4*r + 3. Let k(d) = 3*g(d) - 10*m(d). Factor k(x).
2*x*(x - 2)*(x - 1)*(x + 1)
Let m = -1330/9 - -148. Let b(x) be the first derivative of -1 - 1/3*x + 0*x**2 + 0*x**4 + m*x**3 - 1/15*x**5. Solve b(a) = 0.
-1, 1
Let y(q) = q - 3. Let j be y(7). Suppose -17 = a + 5*i - 4, 15 = -5*i. Factor -p**2 - j*p**a + p + p.
-p*(5*p - 2)
Let y be ((-2)/2)/(3/(-6)). Suppose -14*b + y = -13*b. Solve 0 + 1/4*r**3 - 1/2*r - 1/4*r**b = 0 for r.
-1, 0, 2
Determine i, given that -5*i**2 + 31*i**3 - 5*i**2 - 10 + 5*i**5 + 20*i**4 - 11*i**3 - 25*i = 0.
-2, -1, 1
Solve -y**2 - 2*y**2 + 13*y**2 - 12*y - 2*y**2 - 20 = 0.
-1, 5/2
Let v be 0 - 5/((-375)/5). Let j(m) be the first derivative of -1/12*m**4 + 0*m + 1/18*m**6 + 1/9*m**3 + 0*m**2 + 2 - v*m**5. Determine k, given that j(k) = 0.
-1, 0, 1
Let c(h) be the first derivative of 3*h**5/5 - 9*h**4/4 + h**3 + 9*h**2/2 - 6*h - 1. Determine a, given that c(a) = 0.
-1, 1, 2
Determine y so that -47*y**3 - 72*y - 126*y**2 + 18*y**2 - 9 - 7 - 7*y**3 = 0.
-2/3
Let o(z) be the first derivative of 3*z**4/4 - 2*z**3 + 3*z**2/2 + 7. Factor o(r).
3*r*(r - 1)**2
Let a(h) be the first derivative of h**6/6 + 4*h**5/5 + 3*h**4/4 - 4*h**3/3 - 2*h**2 - 4. Factor a(y).
y*(y - 1)*(y + 1)*(y + 2)**2
Let -12/5 + 3/5*k**2 + 0*k = 0. Calculate k.
-2, 2
Solve -6*f**4 + 18*f**4 - 8*f**4 + 11*f**2 + 13*f**3 + 2*f = 0.
-2, -1, -1/4, 0
Let z(d) = 2*d**2 + d - 1. Let c be z(1). Let -14*v - v**3 - c - 5*v**3 - 16*v**2 - 2 = 0. Calculate v.
-1, -2/3
Let k(o) be the second derivative of 0*o**2 + 0 - 1/3*o**3 + o + 1/120*o**6 + 1/40*o**5 - 1/12*o**4. Let k(u) = 0. What is u?
-2, 0, 2
Let m be ((-24)/60)/(12/(-10)). Let d(q) be the second derivative of 0 - 1/10*q**5 + q - 1/3*q**3 + 0*q**2 - m*q**4. Factor d(h).
-2*h*(h + 1)**2
Let c(s) = s**2 - 4*s - 10. Let o be c(6). Let j(m) be the second derivative of -2*m + 0*m**3 + 0*m**o + 1/6*m**4 + 0. Factor j(x).
2*x**2
Suppose -2*d + 10 = -7*d. Let x be d + 8 + 1*-2. Suppose 1/4*j**x + 3/4*j**3 + 3/4*j**2 + 0 + 1/4*j = 0. Calculate j.
-1, 0
Suppose -5*l + c + 25 = -c, -l - 8 = -3*c. Factor -9*m**3 + 12 - 15*m**2 + l*m - 2*m + 7*m.
-3*(m - 1)*(m + 2)*(3*m + 2)
Suppose -2*m - 3*v = -0*m - 7, 2*m - 2*v = 2. Factor 13/2*h**2 + m + 6*h + 1/2*h**4 + 3*h**3.
(h + 1)**2*(h + 2)**2/2
Let m(o) be the second derivative of -1/10*o**6 + 0*o**2 + 1/2*o**3 - 2*o - 3/4*o**4 + 0 + 9/20*o**5. Factor m(r).
-3*r*(r - 1)**3
Let i(a) be the first derivative of -5 + 9/5*a**5 - 3/2*a**4 + 0*a**3 + 0*a