**2*(s - 1)**2/15
Let k(x) = x**3 + 4*x**2 + 2*x - 1. Let t be k(-2). Factor -t*g - 2*g**4 - 6*g**2 - 15*g**3 + 3*g - 7*g**4.
-3*g**2*(g + 1)*(3*g + 2)
Let y(l) = -l**2 - 16*l - 37. Let h be y(-3). Factor 2/3*a**3 + 0*a**h + 0*a + 0.
2*a**3/3
Let p(t) = -20*t**4 - 104*t**3 - 186*t**2 + 180*t + 90. Let l(i) = i**4 + i**3 + i + 1. Let h(m) = 20*l(m) + 2*p(m). Suppose h(n) = 0. What is n?
-5, -2/5, 1
Let t be 2/4 - -3*(-4)/(-8). Let w(o) be the first derivative of 3/4*o**4 - t*o**3 + 6*o + 1 - 3/2*o**2. Suppose w(z) = 0. What is z?
-1, 1, 2
Let n = -12 + 5. Let u(y) = y**2 + 8*y + 8. Let q be u(n). Factor q - 3*t**3 + t + 2*t**3 - t**2 + 0.
-(t - 1)*(t + 1)**2
Let u(b) be the first derivative of -1 + 0*b**2 + 4/3*b**3 + 0*b + 1/5*b**5 + b**4. Find t such that u(t) = 0.
-2, 0
Let r(o) be the second derivative of 3/10*o**5 - 1/20*o**6 - 3/4*o**2 - 2*o + o**3 - 3/4*o**4 + 0. Factor r(g).
-3*(g - 1)**4/2
Let a(u) be the first derivative of 2/27*u**3 - 3 + 2/9*u + 2/9*u**2. Factor a(m).
2*(m + 1)**2/9
Let y(v) be the third derivative of v**7/7560 - v**5/360 - v**4/12 + 3*v**2. Let j(p) be the second derivative of y(p). Find a, given that j(a) = 0.
-1, 1
Let m be (-12)/9*(-30)/(-4). Let l be (6/15)/((-12)/m). Factor -1/3 - l*y**2 + 2/3*y.
-(y - 1)**2/3
Let r(w) = -w**3 + w**2 + w - 1. Let k(v) = -8*v**3 + 22*v**2 - 68*v + 118. Let f(b) = 2*k(b) - 14*r(b). Suppose f(n) = 0. What is n?
5
Let n(z) be the third derivative of -z**5/60 + z**4/6 - 2*z**3/3 + 6*z**2. Factor n(c).
-(c - 2)**2
Let p(c) = -35*c**2 - 10*c + 30. Let s(i) = -i**2 + 1. Let l(t) = -p(t) + 30*s(t). Find j, given that l(j) = 0.
-2, 0
Let g be 90/12*(-4)/(-6). Find f, given that -g*f**2 + f**2 - 1 - 3*f**2 - 6*f - 2*f**2 = 0.
-1/3
Let b = 9 + -7. Suppose -2*s - 8 = 0, -2*x - b = -0*s + 2*s. Factor -x + 6 - 3*r**3 - 2*r**2 - 1 + 3*r.
-(r - 1)*(r + 1)*(3*r + 2)
Let a(y) be the first derivative of -4*y**4 + 52*y**3/3 + 26*y**2 - 16*y + 12. Factor a(p).
-4*(p - 4)*(p + 1)*(4*p - 1)
Determine b so that -5/3*b**2 - 1/3*b**4 + 2/3*b + 0 + 4/3*b**3 = 0.
0, 1, 2
Let i = 10100/1743 + -20/249. Factor -128/7 + 160/7*d**3 + 320/7*d - i*d**4 + 4/7*d**5 - 320/7*d**2.
4*(d - 2)**5/7
Let n(j) be the first derivative of 8*j - 2*j**6 - 16*j**3 - 56/5*j**5 - 22*j**4 + 2*j**2 - 6. Find w such that n(w) = 0.
-2, -1, 1/3
Find c, given that 31*c + 2*c**2 + 23*c - 75*c + 25*c = 0.
-2, 0
Let h = -431/100 - 36/25. Let g = h - -6. Solve -g*v**2 + 0*v + 1/4 = 0.
-1, 1
Let l = 1 + 0. Factor -a**2 + a**4 - a - l + a**2 + 2*a**3 - a.
(a - 1)*(a + 1)**3
Let i be -831*(30/9 - 3). Let u = -821/3 - i. Suppose -1/3 - 1/3*l**5 - 10/3*l**2 - u*l**3 - 5/3*l - 5/3*l**4 = 0. Calculate l.
-1
Let c(n) = -n**2 - n. Let j(w) = -10*w**2 - 10*w. Let l = 11 - 19. Let y(i) = l*c(i) + j(i). Suppose y(r) = 0. Calculate r.
-1, 0
Let j(k) be the first derivative of -3/8*k**4 + 0*k + 3/10*k**5 + 2 + 3/4*k**2 - 1/2*k**3. Factor j(b).
3*b*(b - 1)**2*(b + 1)/2
Let q be 1/1*(-2)/(-4). Let g be 1/(-3)*(-345)/46. Factor 4*n + q*n**3 + 2 + g*n**2.
(n + 1)*(n + 2)**2/2
Let s(j) = 9*j - 1. Let f(w) = 4*w - 1. Let a(c) = 5*f(c) - 2*s(c). Let i be a(3). Factor h - 4*h**3 + 2*h**4 + 2*h**5 + h**2 - 3*h**4 + h**i.
h*(h - 1)**2*(h + 1)*(2*h + 1)
Let n = -49/3 + 53/3. Factor 4/3 + 1/3*s**2 - n*s.
(s - 2)**2/3
Let t be 2/(-7)*(-21)/24. Let a(d) be the first derivative of t*d**4 + 5/2*d**2 - 4/3*d**3 - 2*d - 1. Factor a(b).
(b - 2)*(b - 1)**2
Suppose 0 = 4*v - v + 2*g + 5, -5 = 2*v + g. Let f be 1/(-15) + (-2)/v. Factor f*o**4 - 2/3*o**3 + 4/3*o + 4/3 - o**2.
(o - 2)**2*(o + 1)**2/3
Let m = 1/92 - -11/46. Let z(t) be the second derivative of 0*t**2 - m*t**4 + 1/20*t**5 + 2*t + 1/3*t**3 + 0. What is l in z(l) = 0?
0, 1, 2
Let a be (-6)/(-2 - (-5)/(-2)). Factor -5/3*z + 5/3*z**3 - z**2 - 1/3 + a*z**4.
(z - 1)*(z + 1)**2*(4*z + 1)/3
Solve -2*u**5 + 0 + 22/3*u**3 - 32/3*u**2 + 8/3*u + 8/3*u**4 = 0 for u.
-2, 0, 1/3, 1, 2
Suppose -4*i + i = -12. Let d be 0/(0 - -3 - i). Find l, given that -1/3*l + 1/3*l**3 - l**2 + l**4 + d = 0.
-1, -1/3, 0, 1
Let i(k) be the third derivative of 1/32*k**4 + 3*k**2 - 1/240*k**6 + 0*k + 0 - 1/24*k**3 + 1/280*k**7 - 1/1344*k**8 - 1/120*k**5. Factor i(n).
-(n - 1)**4*(n + 1)/4
Suppose -5*l = -2*l. Let y(h) be the first derivative of -1/4*h**4 - 1/3*h**2 + 7/15*h**5 - 7/9*h**3 + 5/18*h**6 + l*h + 1. What is m in y(m) = 0?
-1, -2/5, 0, 1
Let q(l) = 7 - 7*l**2 - 6*l**3 - 5*l - 7. Let k(p) be the third derivative of -p**6/40 - p**5/20 - p**4/8 + 5*p**2. Let m(b) = 5*k(b) - 3*q(b). Factor m(j).
3*j**2*(j + 2)
Let n = 0 + 2. Factor 8 - 2*f**n + 8*f - 4*f**3 + 3*f**2 + 2*f**4 - 7*f**2.
2*(f - 2)**2*(f + 1)**2
Let l(v) = 2*v - 6. Let i be l(4). Let c be ((-2)/3)/(i/(-9)). Find p, given that 3*p**3 - 2 - 2 + 5 - c*p - p**2 = 0.
-1, 1/3, 1
Let t be 6*(-3)/12*2. Let q be 0 - t - (-2)/2. Factor -4*v**4 + 7*v**3 + 2*v**5 + 5*v**3 + 8*v**2 + 12*v**q + 2*v.
2*v*(v + 1)**4
Solve 7/4*v**4 + v - 19/4*v**3 + 0 + 2*v**2 = 0.
-2/7, 0, 1, 2
Let d = 80 + -77. Factor -1/3*i + 1/3 - i**d - 5/3*i**2.
-(i + 1)**2*(3*i - 1)/3
Let 15/2*o - 5/2*o**4 + 0 + 25/2*o**2 + 5/2*o**3 = 0. What is o?
-1, 0, 3
Let o(m) be the third derivative of -m**6/8 - 3*m**5/5 - 9*m**4/8 - m**3 - 11*m**2. Find p, given that o(p) = 0.
-1, -2/5
Let i = 47 + -40. Let w(d) be the third derivative of 0 + 4/9*d**3 - 1/30*d**5 - 1/45*d**6 + 0*d + 2*d**2 - 1/315*d**i + 1/9*d**4. Suppose w(t) = 0. What is t?
-2, -1, 1
Let g be (-1 - (-10)/8)/((-5)/(-8)). Factor g*n - 2/5*n**3 + 2/5 - 2/5*n**2.
-2*(n - 1)*(n + 1)**2/5
Let i be (-56)/(-195) - ((-16)/(-26))/4. Let s(l) be the third derivative of 1/12*l**4 + 0*l**3 + 3*l**2 + 0 - i*l**5 + 0*l. Factor s(o).
-2*o*(4*o - 1)
Let -1/5*y**3 + 0*y + 0 + 1/5*y**2 = 0. Calculate y.
0, 1
Let f(k) be the first derivative of -7*k**5/10 - k**4/4 + 7*k**3/6 + k**2/2 - 33. Determine o so that f(o) = 0.
-1, -2/7, 0, 1
Let p be -6 - (-5)/(5/3). Let f be ((-9)/15)/(p/8). Factor -2*b - 4/5 - f*b**2 - 2/5*b**3.
-2*(b + 1)**2*(b + 2)/5
Let f(t) = -t**2 - 5*t. Let v be 6/4*(-16)/6. Let g(n) = 1. Let d(l) = 4*l + 3. Let i(o) = -d(o) + 3*g(o). Let r(z) = v*i(z) + 3*f(z). Factor r(w).
-w*(3*w - 1)
Let l(h) = -4*h**2 + 2*h**2 - h**3 - 1 + 0 - 2*h. Let x(m) = 3*m**3 + 5*m**2 + 5*m + 3. Let t(c) = -8*l(c) - 3*x(c). Factor t(f).
-(f - 1)**2*(f + 1)
Let x = 25 + -21. Factor 0*o - 1/4*o**5 + 0*o**2 + 0 + 0*o**3 - 1/4*o**x.
-o**4*(o + 1)/4
Let m(k) be the first derivative of 5*k**4/8 - 2*k**3 - 11*k**2/4 + 3*k - 37. Solve m(t) = 0 for t.
-1, 2/5, 3
Let m(d) = -d - 6. Let p be m(-8). Factor 2/7*a**p + 8/7 + 8/7*a.
2*(a + 2)**2/7
Let z(r) be the second derivative of -r**6/240 + r**5/120 + r**4/24 + 3*r**2 - 3*r. Let m(c) be the first derivative of z(c). Factor m(p).
-p*(p - 2)*(p + 1)/2
Let r be (-2 + 5)/((-1)/(-3)). Let z = 11 - r. Let -2/7 - 2/7*x**z - 4/7*x = 0. What is x?
-1
Let 8/3 - 2/9*k**3 - 2/9*k**2 + 16/9*k = 0. What is k?
-2, 3
Let f(n) be the third derivative of n**7/60 + n**6/48 - 2*n**5/15 + n**4/12 + 8*n**2. Determine z, given that f(z) = 0.
-2, 0, 2/7, 1
Let g(w) be the third derivative of -1/480*w**6 + 0*w**4 + 0 + 0*w**3 + 1/840*w**7 + 0*w + w**2 + 0*w**5. Suppose g(h) = 0. What is h?
0, 1
Let p = -128 + 182. Factor 1 - 37*y**2 - 21*y**4 - 10 + 3*y**2 - 39*y - 3*y**5 - p*y**3 - 32*y**2.
-3*(y + 1)**4*(y + 3)
Let q(x) = -8*x**4 + 8*x**3 - 3. Let g(b) = -9*b**4 + 9*b**3 - 4. Let f(u) = 3*g(u) - 4*q(u). Factor f(i).
5*i**3*(i - 1)
Let q(x) be the third derivative of -x**7/42 - x**6/4 - 3*x**5/4 - 5*x**4/6 + 24*x**2. Let q(m) = 0. What is m?
-4, -1, 0
Let i(j) be the third derivative of j**6/240 - j**5/30 + 5*j**4/48 - j**3/6 - 10*j**2. Factor i(v).
(v - 2)*(v - 1)**2/2
Let f = 86/7 + -337/28. Factor 1/2 - f*o - 1/4*o**2.
-(o - 1)*(o + 2)/4
Let g(o) be the third derivative of -o**8/224 + o**7/28 - 9*o**6/80 + 7*o**5/40 - o**4/8 + 9*o**2. Factor g(u).
-3*u*(u - 2)*(u - 1)**3/2
Let b be (0*(-2)/(-6))/(-3). Let f(q) be the third derivative of -1/105*q**7 - 1/30*q**5 + q**2 + 0*q + 0*q**4 + 0 + 1/30*q**6 + b*q**3. Factor f(z).
-2*z**2*(z - 1)**2
Let c(s) = s**2 - 10*s - 5. Let f be c(10). Let t be 12/(-4) + 0 - f. Find y, given that 4/3*y + 2/3*y**t + 0 = 0.
-2, 0
Let d(z) be the first derivative of z**5/240 - z**4/96 - z**3/12 + z**2 - 3. Let q(m) be the second deri