ose p(y) = 0. Calculate y.
-1, 0, 2/5
Let g(d) = -d**2 - 9*d + 27. Let u be g(-12). Let y = 12 + u. Find s such that 6/7*s + 3/7 - 3/7*s**4 + 0*s**2 - 6/7*s**y = 0.
-1, 1
Let y = 765 + -128519/168. Let z(x) be the third derivative of -1/12*x**4 + 0*x**6 + 0*x**3 - 2/105*x**7 - 3*x**2 + 1/15*x**5 + y*x**8 + 0*x + 0. Factor z(k).
2*k*(k - 1)**3*(k + 1)
Suppose 7*n = 3*n. Suppose 4*m = -n*m. Factor m + 1/4*s**2 - 1/4*s**3 + 0*s.
-s**2*(s - 1)/4
Let n be -3*(-2)/9*-3. Let o be 6 + (n + 2)/(-2). Factor 6*p**3 - 2*p + 4*p - p**4 - o*p**2 - p**4.
-2*p*(p - 1)**3
Suppose -5 = 2*p + 1. Let c be (p/2)/((-63)/12). Suppose 2/7*r**3 + 0 - c*r**2 - 2/7*r + 2/7*r**4 = 0. What is r?
-1, 0, 1
Let k(d) be the second derivative of -4*d - 3/2*d**3 - 9/4*d**4 + 3*d**2 + 0. Solve k(v) = 0 for v.
-2/3, 1/3
Let 3*n**4 - n**4 - 8*n**3 + 12*n**3 - 2*n**2 + 4*n**2 = 0. What is n?
-1, 0
Let r(y) be the first derivative of 3/5*y**5 + 3/4*y**2 + 3 + 0*y + 15/8*y**4 + 2*y**3. Suppose r(q) = 0. Calculate q.
-1, -1/2, 0
Let b(v) = 10*v**3 + 30*v**2 + 11. Let l(k) = 5*k**3 + 15*k**2 + 6. Let y(a) = 6*b(a) - 11*l(a). Factor y(g).
5*g**2*(g + 3)
Let m(d) be the first derivative of -8 - 3/7*d - 3/7*d**4 - 6/7*d**2 - 3/35*d**5 - 6/7*d**3. Let m(f) = 0. What is f?
-1
Solve -v**5 - 3*v**2 + 2*v**2 - 3*v**3 - 3*v**4 + 3*v**5 - 3*v**5 = 0.
-1, 0
Let g(a) be the third derivative of -a**6/300 + a**4/60 + 5*a**2. Factor g(s).
-2*s*(s - 1)*(s + 1)/5
Suppose 0 = -5*r + 4 + 11. Let z(c) = 10*c**3 + 12*c**2 + 4*c - 2. Let u(x) = -11*x**3 - 13*x**2 - 5*x + 3. Let w(f) = r*z(f) + 2*u(f). Factor w(l).
2*l*(l + 1)*(4*l + 1)
Let g(w) = 5*w**4 - 15*w**2 - 10*w + 6. Let x(f) = 10*f**4 - 30*f**2 - 20*f + 13. Let b(j) = -13*g(j) + 6*x(j). Determine u so that b(u) = 0.
-1, 0, 2
Let a(v) = -v**3 + 3*v**2 + 2. Let u be a(3). Factor 2*l**2 - l + 2*l**2 - 5*l**2 + 0*l**u.
-l*(l + 1)
Suppose -21 = 9*l - 16*l. Factor -1/2*k**l + 0 + 1/2*k + 0*k**2.
-k*(k - 1)*(k + 1)/2
Let a(x) be the second derivative of x**7/126 - x**6/18 + x**5/10 + x**4/9 - 4*x**3/9 - 27*x. Suppose a(w) = 0. Calculate w.
-1, 0, 2
Let w be (15/90)/(2/(-9)*-3). Let k(l) be the first derivative of w*l**2 + 1/10*l**5 - 1/6*l**3 - 1/8*l**4 - 2 + 0*l. Factor k(v).
v*(v - 1)**2*(v + 1)/2
Suppose -4 + 0 - 3*o**2 - 8*o - 2 + o**2 = 0. What is o?
-3, -1
Suppose -4*i - i - 5*z + 215 = 0, 0 = i + 3*z - 45. Let h be (-1)/6 - (-91)/i. Factor 3*s**h + 8*s**4 - 2*s**4 + 0*s**2 + 9*s**3 + 3*s**4 + 3*s**5.
3*s**2*(s + 1)**3
Let s be -3 + 4 - (-174)/(-14). Let o = s - -82/7. Factor -o*h**3 - 16/7 - 12/7*h**2 - 24/7*h.
-2*(h + 2)**3/7
Let k = 8 - -4. What is i in 2 - 3*i**3 - 2*i**3 - 8*i + 2*i**4 - 3*i**3 + k*i**2 = 0?
1
Let v(o) = -2*o**2 + 8*o - 2. Suppose -11 = -2*h - 3*k, 2*h = 4*h - 5*k - 3. Let u(n) = 2*n**2 - 7*n + 2. Let g(z) = h*u(z) + 3*v(z). Factor g(p).
2*(p - 1)**2
Let w be 30/18 - (-6)/9. Let k(v) be the third derivative of -w*v**4 + 0*v + 2*v**2 + 3/2*v**5 + 0 + 4/3*v**3. Find g such that k(g) = 0.
2/9, 2/5
Let z be (0 + -2)/(-6)*-3. Let p(m) = -m**3 - m**2 - m. Let c(k) = -21*k**4 + 9*k**3 + 3*k**2 + 3*k. Let x(n) = z*c(n) - 3*p(n). Find u such that x(u) = 0.
0, 2/7
Let r = -443 - -2239/5. Factor 27/5*h**5 + 84/5*h**3 + 18*h**4 + r*h**2 + 0*h + 0.
3*h**2*(h + 2)*(3*h + 2)**2/5
Let w(s) be the third derivative of -s**7/8820 + s**6/1260 - s**5/420 - s**4/8 - 3*s**2. Let f(x) be the second derivative of w(x). Solve f(l) = 0 for l.
1
Suppose 0 = 38*x - 41*x. Factor 10/9*c**3 + 4/9*c**2 + 0 + x*c + 2/3*c**4.
2*c**2*(c + 1)*(3*c + 2)/9
Let r(g) = -6*g**3 - 13*g**2 - 11*g - 3. Let m(f) = 18*f**3 + 38*f**2 + 34*f + 10. Let w(t) = -3*m(t) - 10*r(t). Suppose w(h) = 0. Calculate h.
-2, -2/3, 0
Let z be -1*6*(-12)/24. Let v(a) be the second derivative of -1/24*a**4 + 0 + 1/24*a**3 - z*a + 1/8*a**2. Solve v(m) = 0.
-1/2, 1
Suppose -88 + 92 = 2*r. Find a, given that 3/4*a**r + 3/4*a - 3/2 = 0.
-2, 1
Let c = -1160025/11 + 105572. Let m = -115 + c. Find b such that 0 - m*b + 2/11*b**2 = 0.
0, 1
Let z be (-1)/(-2) + (-9)/(-2). Factor -4*t**2 + 0 + z*t**2 - 4*t + 0*t**2 + 3.
(t - 3)*(t - 1)
Factor 0*v - 1/10*v**2 + 1/10.
-(v - 1)*(v + 1)/10
Let t(y) be the first derivative of 14*y**5/15 + 5*y**4/8 - 13*y**3/9 - 5*y**2/4 - y/3 + 17. Let t(i) = 0. What is i?
-1, -2/7, -1/4, 1
Let l be (2/4)/(1/6). Suppose 5*m + 3*k = 7*k + 48, 5*k = -3*m + 51. Factor 3*n**3 + 6*n**3 - m*n**l + 3*n**2.
-3*n**2*(n - 1)
Let 3/7*o**2 + 12/7 + 12/7*o = 0. What is o?
-2
Suppose 8/5 + 4/5*m**2 + 2/5*m**3 - 14/5*m = 0. Calculate m.
-4, 1
Let w(k) be the first derivative of k**3/4 + 3*k**2 + 9*k + 61. Factor w(m).
3*(m + 2)*(m + 6)/4
Let l(x) = x**2 - 11*x + 16. Let p be l(10). Let b(q) be the third derivative of -1/15*q**p + 1/3*q**3 + 0 - 2/15*q**5 - 3*q**2 + 0*q + 1/12*q**4. Factor b(y).
-2*(y + 1)*(2*y - 1)*(2*y + 1)
Let -2/11*t**2 - 2/11*t + 4/11 = 0. What is t?
-2, 1
Suppose 4*u = -2*y - 0 + 14, -5*y + 4*u + 21 = 0. Factor 0*a**2 - 6 - 8*a**2 - 7*a - 2*a + y*a**2.
-3*(a + 1)*(a + 2)
Let w(l) = l**2 + 5*l. Let d be w(-4). Let c be 6 + 2 + d + 0. Determine q so that -3*q**3 + q**3 + 2*q**2 + c*q**3 = 0.
-1, 0
Let f(o) = -o**3 + 3*o**2 + 6*o - 5. Let i be f(4). Factor 3*r**4 + r**2 - 2*r**4 - 3*r**2 + r**2 - r + r**i.
r*(r - 1)*(r + 1)**2
Let q(p) = -6 - 8*p**3 - 2*p**4 + 12*p**3 - 4*p**2 - 2*p**2. Let i(t) = -2*t**4 + 5*t**3 - 7*t**2 - 7. Let g(f) = 6*i(f) - 7*q(f). Factor g(j).
2*j**3*(j + 1)
Let o be 56/(-63)*2/8. Let r = o - -8/9. Factor 4/3*u**2 + 2/3*u - 4/3*u**4 + 0 + 0*u**3 - r*u**5.
-2*u*(u - 1)*(u + 1)**3/3
Factor 11*m**2 - 3*m - 20 + 3*m**3 + 14 - 5*m**2.
3*(m - 1)*(m + 1)*(m + 2)
Let o be 1*(-4)/(-2) - 0. Let d be o - (-1)/(2/(-4)). Factor -a**2 + 0*a**3 + a**4 + d*a**3.
a**2*(a - 1)*(a + 1)
Let v(m) be the third derivative of -1/42*m**4 + 0*m - 1/42*m**3 - 3*m**2 - 1/70*m**5 + 0 - 1/1470*m**7 - 1/210*m**6. Factor v(y).
-(y + 1)**4/7
Let h(n) be the first derivative of 8/9*n + 8/9*n**2 - 4/9*n**4 - 98/27*n**3 + 2*n**5 + 4. What is f in h(f) = 0?
-1, -2/9, 2/5, 1
Suppose 0 = t + b - 7, t - 33 = -4*b - 11. Factor -q - 2*q**2 - 6*q + t*q + q.
-2*q*(q + 2)
Let y(g) be the third derivative of -1/360*g**5 + 0*g + 1/144*g**4 + 1/36*g**3 - 2*g**2 + 0 - 1/720*g**6. Factor y(p).
-(p - 1)*(p + 1)**2/6
Solve -1/2*u**4 + 1/2*u + 0 - 1/2*u**3 + 1/2*u**2 = 0.
-1, 0, 1
Let f be 3/4*(-1 + -11). Let a = f + 9. Suppose 3/2*j**3 + 0 + a*j - 3/2*j**4 + 1/2*j**5 - 1/2*j**2 = 0. Calculate j.
0, 1
Let r(i) be the second derivative of -i**4/36 - i**3/9 - i**2/6 + 5*i. Factor r(h).
-(h + 1)**2/3
Factor 1/7*q**2 - 8/7*q + 1.
(q - 7)*(q - 1)/7
Let j(p) be the third derivative of -3*p**7/700 + p**6/150 - p**5/300 + p**3/6 + 3*p**2. Let w(f) be the first derivative of j(f). Find h such that w(h) = 0.
0, 1/3
Let r(c) be the first derivative of -2*c**3/9 - 2*c**2/3 + 2. Suppose r(i) = 0. What is i?
-2, 0
What is n in -2 - 1 + 11*n - 5*n - 3*n**2 = 0?
1
Let i be (3/15)/(36/10). Let b(g) be the third derivative of -1/144*g**4 - 2*g**2 + 0*g + i*g**3 - 1/360*g**5 + 0. Factor b(u).
-(u - 1)*(u + 2)/6
Let z(m) be the third derivative of -2/105*m**7 - 3*m**2 + 0 + 0*m**3 + 0*m - 2/15*m**6 - 1/3*m**5 - 1/3*m**4. Factor z(o).
-4*o*(o + 1)**2*(o + 2)
Let v(m) be the second derivative of m**8/560 + m**7/280 - 3*m**3/2 - m. Let x(i) be the second derivative of v(i). Factor x(d).
3*d**3*(d + 1)
Let s(c) be the first derivative of c**7/1680 + c**6/180 + c**5/60 + 2*c**3/3 - 3. Let k(y) be the third derivative of s(y). Factor k(b).
b*(b + 2)**2/2
Let a(r) be the second derivative of r**6/30 + r**5/20 - r**4/12 - r**3/6 - 33*r. Factor a(b).
b*(b - 1)*(b + 1)**2
Let o = 1/95 + 93/190. Factor -1/2 - 1/4*x + o*x**2 + 1/4*x**3.
(x - 1)*(x + 1)*(x + 2)/4
Solve -u**3 + 0*u**2 + 0 + 1/2*u + 1/2*u**5 + 0*u**4 = 0 for u.
-1, 0, 1
Let w(n) be the third derivative of n**8/112 - 3*n**7/70 + n**6/20 + n**5/10 - 3*n**4/8 + n**3/2 - n**2. Factor w(h).
3*(h - 1)**4*(h + 1)
Let x(v) be the third derivative of -v**8/40320 - v**7/10080 + v**5/30 + 2*v**2. Let h(b) be the third derivative of x(b). What is s in h(s) = 0?
-1, 0
Let x(z) be the second derivative of 1/48*z**4 - 1/12*z**3 - 3*z + 0 + 1/8*z**2. Factor x(v).
(v - 1)**2/4
Suppose 1 = -a + 3. Let l be (-10)/(-4) + a/(-4). Factor l + 3*q**2 - q**2 - 4*q**2.
-2*(q - 1)*(q + 