 9*b**2. Suppose r(i) = 0. What is i?
-2, -1, 2/3, 1
Suppose 0 = -f + 2 - 5. Let q = f + 5. Factor -4*m**2 + 12*m + 2*m**4 - 12*m + q.
2*(m - 1)**2*(m + 1)**2
Let q be ((-12)/(-8))/(3/4). Suppose 5*l - q*l = 0. Let -1/3*s**2 + 1/3*s**3 + l + 0*s = 0. Calculate s.
0, 1
Let d(n) be the third derivative of -1/60*n**4 - 1/300*n**5 + 0 - 1/30*n**3 + 0*n + 6*n**2. Determine f so that d(f) = 0.
-1
Let j(d) = 78*d**3 + 3*d**2 - 6*d + 15. Let l = -9 + 24. Let p(s) = s**3 + 1. Let h(y) = l*p(y) - j(y). Determine a, given that h(a) = 0.
-1/3, 0, 2/7
Suppose 13*s + 3 = 29. Factor 1 + 0*l - 3/4*l**s + 1/4*l**3.
(l - 2)**2*(l + 1)/4
Let f = 271/36120 + 1/1204. Let j(s) be the second derivative of s - 1/40*s**5 + 0 - f*s**6 - 1/48*s**4 + 0*s**3 + 0*s**2. Factor j(m).
-m**2*(m + 1)**2/4
Factor -5*x**5 + 9*x**3 + 207*x**4 + x**3 - 212*x**4.
-5*x**3*(x - 1)*(x + 2)
Let u(d) be the second derivative of -2*d**6/15 + d**5/5 + d**4/3 - 2*d**3/3 + 10*d - 2. Determine z so that u(z) = 0.
-1, 0, 1
Suppose -10*r = -5*r - 20. Suppose 5*u + 10 = 5*b, -5*b + 15 = -3*u - 1. Solve 5*t**r + u*t**3 - 2*t - t**4 + 3*t**3 = 0 for t.
-1, 0, 1/2
Factor -46*q**2 - 61*q**2 + 119*q**2 - 3*q**3 - 9*q.
-3*q*(q - 3)*(q - 1)
Let q be (16/(-10))/(24/(-20)). Determine n, given that 2/3 - 2/3*n**2 + 4/3*n**3 - q*n = 0.
-1, 1/2, 1
Let h(z) be the third derivative of -z**6/1260 - z**5/210 - z**4/84 + z**3/2 + 6*z**2. Let o(c) be the first derivative of h(c). Factor o(q).
-2*(q + 1)**2/7
Solve 11*x**3 + 5*x**3 + x**4 - 5*x**4 - 8*x**3 = 0.
0, 2
Factor -3*k - 3 - 3 - 3*k**2 - 3*k - 3*k.
-3*(k + 1)*(k + 2)
Let y(q) = 7*q**4 + 37*q**3 - 30*q**2 + 12*q + 13. Let b(c) = -3*c**4 - 18*c**3 + 15*c**2 - 6*c - 6. Let d(t) = -13*b(t) - 6*y(t). Let d(s) = 0. Calculate s.
0, 1, 2
Let n be (-10)/(-12) + 4/6 + 0. Let h be 1/2 - (-7 - -6). Suppose 3/2*z**4 + h*z - 3*z**2 + 3/2*z**5 - 3*z**3 + n = 0. Calculate z.
-1, 1
Let m = 1166/21 - 258/7. Factor 0*l**2 - 98/3*l**5 + 0*l - 8/3*l**3 + 0 + m*l**4.
-2*l**3*(7*l - 2)**2/3
Let b(l) = l - 1. Let g(f) = -f**2 + 4*f - 2. Let x(a) = 10*b(a) - 5*g(a). Suppose x(w) = 0. Calculate w.
0, 2
Let l(j) = -8*j + 3. Let a be l(2). Let c(x) = 11*x**2 + 15*x - 13. Let p(f) = -5*f**2 - 7*f + 6. Let b(g) = a*p(g) - 6*c(g). Factor b(i).
-i*(i - 1)
Let f(s) = -3*s**3 - 9*s**2 + 9*s. Let d(a) = -3*a**3 - 9*a**2 + 8*a. Let m(z) = 3*d(z) - 4*f(z). Factor m(v).
3*v*(v - 1)*(v + 4)
Factor -9 + 15*d + d**3 - 6*d**2 - 2*d**3 + 1.
-(d - 1)**2*(d + 8)
Suppose -35 + 10 = 5*n. Let a be (n/1 + 3)/(-5). Factor a*l**4 - 8/5*l**3 + 2/5 - 8/5*l + 12/5*l**2.
2*(l - 1)**4/5
Factor -352/9*g**2 - 188/9*g - 8/3 + 64/9*g**3.
4*(g - 6)*(4*g + 1)**2/9
Let w(p) be the second derivative of p**7/21 + p**6/5 + p**5/5 + 10*p. Factor w(s).
2*s**3*(s + 1)*(s + 2)
Find x such that 0*x + 0*x**2 + 0 - 1/3*x**3 + 2/3*x**4 - 1/3*x**5 = 0.
0, 1
Let z(p) be the third derivative of -p**6/200 + 7*p**5/600 + p**4/60 + p**3/2 - 2*p**2. Let d(m) be the first derivative of z(m). Let d(w) = 0. Calculate w.
-2/9, 1
Let h = 2242/7 - 318. Factor 2*c - 2/7 - 32/7*c**3 - h*c**2.
-2*(c + 1)*(4*c - 1)**2/7
Let z(y) be the second derivative of y**6/90 + 11*y**5/60 + 5*y**4/4 + 9*y**3/2 + 9*y**2 - 43*y. Factor z(b).
(b + 2)*(b + 3)**3/3
Let n(k) = k**3 + 14*k**2 + 11*k - 15. Let z be n(-13). Let u = z - 11. Determine v, given that 0*v + 1/3*v**2 + u = 0.
0
Let k = 518 + -516. Suppose 0*l**k + 0*l - 3/2*l**4 + 0*l**3 + 0 = 0. What is l?
0
Let l(b) be the first derivative of -5/6*b**4 + 5/3*b**2 + 5 + 2/9*b**3 - 2/3*b. Find u such that l(u) = 0.
-1, 1/5, 1
Let g(x) be the third derivative of -x**7/490 + x**6/280 + x**5/70 + 38*x**2. Solve g(s) = 0.
-1, 0, 2
Find z, given that 7/2*z**3 - 5/2*z**4 + 2 - 3/2*z**5 + 21/2*z**2 + 8*z = 0.
-1, -2/3, 2
Let n = 10 - 6. Solve -6*k**2 + 2*k**3 + 60 + n*k - 60 = 0.
0, 1, 2
Factor 0*r**3 - r**3 + 2*r**3 + 2*r + 3*r**2.
r*(r + 1)*(r + 2)
Let b be 3 + 84/(-13) - -3. Let h = 1/26 - b. Factor 0*y**3 + 1/4*y**5 + 0 - h*y**4 + 1/2*y**2 - 1/4*y.
y*(y - 1)**3*(y + 1)/4
Suppose -5*b + 25 = -0*b. Let o(z) be the second derivative of 1/3*z**2 + 2*z - 7/18*z**3 - 1/18*z**4 + 7/60*z**b + 0. Factor o(q).
(q - 1)*(q + 1)*(7*q - 2)/3
Let c(z) be the third derivative of -z**8/840 - z**7/105 - z**6/45 + 2*z**3/3 - 3*z**2. Let b(i) be the first derivative of c(i). Factor b(q).
-2*q**2*(q + 2)**2
Let f(q) = -q**3 - 2*q**2 + 3*q. Let n(y) = y + 4. Let m be n(-3). Let i(g) = g**3 - g. Let r(s) = m*f(s) + 2*i(s). Determine l, given that r(l) = 0.
0, 1
Let w(t) be the third derivative of -t**2 + 0*t**4 + 1/735*t**7 + 0 + 0*t + 0*t**3 - 1/210*t**5 - 1/1176*t**8 + 1/420*t**6. Find g such that w(g) = 0.
-1, 0, 1
Factor 3/4*z**2 + 27 - 9*z.
3*(z - 6)**2/4
Let s be (-5)/(-10)*(5 - 1). Suppose -1 = -3*t - 4*o, -4*t - s*o - 16 = -8*t. Factor -2/7*v**2 + 0 + 2/7*v**t + 0*v.
2*v**2*(v - 1)/7
Let p = 10 + -8. Factor -6*g**4 + 2*g**2 + 2*g**3 + 0*g**p + 2*g**4 - 4*g**3.
-2*g**2*(g + 1)*(2*g - 1)
Let p(a) be the third derivative of -a**8/6720 + a**7/420 - a**6/60 + a**5/30 + 5*a**2. Let x(h) be the third derivative of p(h). Factor x(d).
-3*(d - 2)**2
Let a(g) be the third derivative of g**7/3150 - g**5/150 + 5*g**4/24 - 3*g**2. Let t(b) be the second derivative of a(b). Factor t(p).
4*(p - 1)*(p + 1)/5
Let r(k) = -3*k**3 - 6*k**2 - 4. Let b(u) = -6*u**3 - 13*u**2 - 9. Let q(n) = 3*b(n) - 7*r(n). Let a(d) = d**4 + d - 1. Let w(l) = 2*a(l) + 2*q(l). Factor w(o).
2*o*(o + 1)**3
Let k(u) be the second derivative of u**6/150 + u**5/100 - u**4/20 - u**3/6 - u**2/5 - 13*u. Factor k(l).
(l - 2)*(l + 1)**3/5
Let q(h) = -32*h**4 - 8*h**3 - 9*h**2 - 9*h + 9. Let u(g) = -16*g**4 - 4*g**3 - 4*g**2 - 4*g + 4. Let k(c) = 4*q(c) - 9*u(c). Find f, given that k(f) = 0.
-1/4, 0
Suppose -4*s = 12, 3*d + 1 = -s - 2. Let o(t) be the second derivative of 1/6*t**3 - 1/10*t**5 + 0 + 2*t + 0*t**2 + 0*t**6 + 1/42*t**7 + d*t**4. Factor o(z).
z*(z - 1)**2*(z + 1)**2
Let j be ((4 + -2)*1)/2. Let b = j - 1. Factor b*q**2 - 3*q**2 + 3*q**4 - q**2 - 2*q**3 + 2*q + 1.
(q - 1)**2*(q + 1)*(3*q + 1)
Let d = -52 - -52. Suppose -4/7*p**3 + 0*p + d - 2/7*p**2 - 2/7*p**4 = 0. Calculate p.
-1, 0
Let v(y) be the first derivative of -2*y**6/15 + 4*y**5/5 - 4*y**4/3 - y - 5. Let n(c) be the first derivative of v(c). Solve n(a) = 0.
0, 2
Factor -18*o**5 + 31*o**5 - 9*o**4 - o**4 - 15*o**5.
-2*o**4*(o + 5)
Let u(y) be the third derivative of y**7/490 - y**6/280 - y**5/28 - 3*y**4/56 - 14*y**2. Factor u(p).
3*p*(p - 3)*(p + 1)**2/7
Let y(h) be the third derivative of h**6/30 - 6*h**5/5 + 18*h**4 - 144*h**3 - 26*h**2. Factor y(x).
4*(x - 6)**3
Let r(w) be the first derivative of -w**6/60 + w**4/12 - w**2/4 - 4*w - 1. Let u(s) be the first derivative of r(s). Factor u(q).
-(q - 1)**2*(q + 1)**2/2
Let t(u) be the third derivative of u**8/35280 + u**7/3528 + u**6/1260 - u**5/60 + 4*u**2. Let b(p) be the third derivative of t(p). Factor b(q).
2*(q + 2)*(2*q + 1)/7
Let v(x) = 2*x - 11. Let t be v(7). Let q(y) be the first derivative of 0*y + 2/9*y**t - 1/6*y**4 + 2 - 2/15*y**5 + 1/3*y**2. Factor q(b).
-2*b*(b - 1)*(b + 1)**2/3
Let c(a) = 2*a**2 - a. Let n be c(1). Let u be (0 - n)/((-5)/10). Determine x, given that -1/2 - 1/2*x**u - x = 0.
-1
Let y = 6/23 - -45/92. Let q(k) be the first derivative of -y*k**4 - 4 + 3*k**2 + 0*k + k**3. Factor q(j).
-3*j*(j - 2)*(j + 1)
Let c(z) be the third derivative of -z**5/80 + z**4/8 - z**3/2 - 23*z**2. Factor c(t).
-3*(t - 2)**2/4
Let l(c) be the third derivative of 2*c**7/525 + c**6/25 + 4*c**5/25 + c**4/3 + 2*c**3/5 + 9*c**2. Factor l(i).
4*(i + 1)**3*(i + 3)/5
Let u(z) = -z**3 - 2*z**2 - 7. Let f be u(-3). Factor -2*p**2 - 8 + 2*p + 2*p**2 - f*p**2 + 6*p.
-2*(p - 2)**2
Let b(f) = f**2 + 2*f - 9. Let h be b(3). Let d = -14 + 23. Factor 4*g - 3*g**2 - 3*g**3 - g - h*g**4 + d*g**4.
3*g*(g - 1)**2*(g + 1)
Let g = 12 + -8. Suppose 2*c + 0*c - g = 0. Factor 0 + 4/3*i + 8*i**3 - 10/3*i**4 - 6*i**c.
-2*i*(i - 1)**2*(5*i - 2)/3
Suppose 7*a - 3*a = 12. Let l be 2/(-5) - 36/(-15). Factor 1 - a*g**2 + 2*g**2 + 2*g**2 - l.
(g - 1)*(g + 1)
Let d(o) be the first derivative of o**6/2 - 9*o**5/5 - 3*o**4 - 51. Factor d(h).
3*h**3*(h - 4)*(h + 1)
Factor -16*l**2 - 63 + 7*l**3 + 61 + 2*l**5 + 9*l + 7*l**3 - l**5 - 6*l**4.
(l - 2)*(l - 1)**4
Solve 0*x**3 - 2/