t l(i) be the third derivative of -i**9/1890 + i**8/480 - i**7/630 - i**6/360 - i**4/8 - 2*i**2. Let p(h) be the second derivative of l(h). Factor p(j).
-2*j*(j - 1)**2*(4*j + 1)
Factor -3/2*q**3 + 3/4*q**2 + 3/2*q - 3/4*q**4 + 0.
-3*q*(q - 1)*(q + 1)*(q + 2)/4
Let b(c) = -c**2 - 3*c + 4. Let u be b(-4). Let r be 20/18 - 2/3. Factor -2/9 + u*z**3 + r*z**2 - 2/9*z**4 + 0*z.
-2*(z - 1)**2*(z + 1)**2/9
Let t be 4/((-336)/(-45)) - (-2)/(-8). Let -t - 2/7*p**2 - 4/7*p = 0. Calculate p.
-1
Let i be (16/(-30))/((-5)/(-25)*-2). Factor -2/3*x**2 + 0 + i*x.
-2*x*(x - 2)/3
Factor 0 - 1/5*w**3 + 2/5*w**2 - 1/5*w.
-w*(w - 1)**2/5
Let w be (-3 - 48/(-15)) + 0. Factor -1/5*l**4 + 1/5*l**5 + 0*l + w*l**2 + 0 - 1/5*l**3.
l**2*(l - 1)**2*(l + 1)/5
Let g(n) be the first derivative of 0*n**2 + 2/9*n**3 - 8/15*n**5 + 5 - 1/2*n**4 + 0*n. Factor g(b).
-2*b**2*(b + 1)*(4*b - 1)/3
Let q(x) be the third derivative of -x**5/15 + 2*x**3/3 + 9*x**2. Let q(p) = 0. Calculate p.
-1, 1
Let x(y) be the first derivative of -y**4 + 2*y**3 + 5 + 1/5*y**5 - 2*y**2 + y. Factor x(v).
(v - 1)**4
Let p(d) be the third derivative of 0*d**3 + 1/30*d**5 + 0*d + 0*d**4 + 0 - 2*d**2 - 1/60*d**6. Suppose p(s) = 0. What is s?
0, 1
What is g in -121/2*g**2 - 2 - 22*g = 0?
-2/11
Suppose c = -0*c + 1. Let i be ((-3)/9)/(c/(-15)). Suppose -6*u - u**5 - 2 - 4*u**5 + 6*u**4 + 4*u**3 + 7*u**i - 4*u**2 = 0. Calculate u.
-1, 1
Suppose -20*v + 30*v - 20 = 0. Factor 0*x**v + 2/15*x + 0 - 2/15*x**3.
-2*x*(x - 1)*(x + 1)/15
Let s be (-1 + 1)/(5 + -6). Suppose s*a = -4*a. Solve 8/7*h**2 + 50/7*h**5 - 32/7*h**3 + a*h + 10/7*h**4 + 0 = 0 for h.
-1, 0, 2/5
Suppose 21 = -q - 2*q. Let w be (8/q - -1)*-2. Let -8/7 - 8/7*k - w*k**2 = 0. Calculate k.
-2
Factor -2*z - 22/5*z**2 + 4/5 - 8/5*z**3.
-2*(z + 1)*(z + 2)*(4*z - 1)/5
Let p be 9/7 + (-4)/14. Let g be p*3 + 5 + -5. Factor -5/2*o**g + 1/2*o - 3/2*o**4 + 0 - 1/2*o**2.
-o*(o + 1)**2*(3*o - 1)/2
Let o(i) be the second derivative of -i**8/960 - i**7/504 + i**6/360 + i**4/3 - 4*i. Let z(n) be the third derivative of o(n). Factor z(f).
-f*(f + 1)*(7*f - 2)
Factor -4*u - 3*u**2 + 3*u**3 - 8 + u**3 + 11*u**2.
4*(u - 1)*(u + 1)*(u + 2)
Suppose 0 = -3*s - 12, 24 = 2*q + 2*s - 7*s. Determine l so that -7 - l**2 + 6*l**3 - 1 + 9*l**q + 6*l**2 = 0.
-2, -1, 2/3
Let o(x) = 2*x**3 - 5*x + 5. Let d(q) = 3*q**3 - 7*q + 7. Let k be (1 + -3)*10/4. Let t(f) = k*d(f) + 7*o(f). What is r in t(r) = 0?
0
Let b be (-6 + 22/4)*-1. What is u in 1/2 + b*u**2 + u = 0?
-1
Suppose -1/2*z**2 + 9/2*z - 4 = 0. Calculate z.
1, 8
Suppose 5*l = -2*y + 16, -5*l = -2*y + y - 7. Let -1/5*m**2 + 1/5 + 1/5*m**y - 1/5*m = 0. Calculate m.
-1, 1
Let b(a) = 44*a - 129. Let n be b(3). Factor 288/7*u**2 + 768/7 + 768/7*u + 48/7*u**n + 3/7*u**4.
3*(u + 4)**4/7
Let q(v) be the first derivative of v**3/9 - 2*v**2/3 + 4*v/3 - 12. Factor q(m).
(m - 2)**2/3
Let x(l) be the third derivative of 1/60*l**4 - 6*l**2 - 1/30*l**3 + 0*l + 0 + 0*l**5 + 1/1050*l**7 - 1/300*l**6. Factor x(f).
(f - 1)**3*(f + 1)/5
Suppose -3*j**4 + 138*j - 9*j**2 + 15*j**3 - 3*j**5 - 138*j = 0. What is j?
-3, 0, 1
Suppose 16 = 3*b + 2*i, -3 + 2 = -3*b + i. Let f(m) = m**2 - 2*m + 3. Let z be f(b). What is v in 4*v - 4*v - 5*v**4 + 2*v**z - 2*v**4 = 0?
0, 2/7
Suppose -5*t - 2*h = 2*h + 1, 4*h = -t - 13. Let n = 9/5 + -53/35. Factor n*f**4 + 6/7*f**t + 0 + 6/7*f**2 + 2/7*f.
2*f*(f + 1)**3/7
Let s = 6 - 1. Suppose s*l - 3*l = 4. Let 1 + 3 + 5*r - r + 0 + r**l = 0. Calculate r.
-2
Let y(s) = s - 6. Let m be y(8). Let a be (-3)/(-2)*(0 + m). Factor 3*w**a + 2*w**2 + 0*w + 2*w - w - 2*w**3.
w*(w + 1)**2
Let g = 70 - 68. Let a(n) be the third derivative of -1/6*n**4 + 0*n - 1/30*n**5 + 0 + 0*n**3 + n**g. Determine p so that a(p) = 0.
-2, 0
Let c be 18/5 - (-8 - -10). Factor -m**3 + 0 + 4/5*m + c*m**2.
-m*(m - 2)*(5*m + 2)/5
Let f(m) be the third derivative of 11/200*m**6 - 3/175*m**7 - 2*m**2 + 0 - 1/50*m**5 - 3/10*m**4 + 1/560*m**8 + 4/5*m**3 + 0*m. Factor f(q).
3*(q - 2)**3*(q - 1)*(q + 1)/5
Factor 1/6*g**3 + 2/3*g**2 + 1/3 + 5/6*g.
(g + 1)**2*(g + 2)/6
Let o(i) = i**3 - i**2 + i. Let x be o(0). Suppose h + x - 3 = 0. Factor s**2 + 4*s**2 - h*s**2.
2*s**2
Suppose -1/3*m**2 + 0 + 1/3*m**4 + 0*m**3 + 0*m = 0. What is m?
-1, 0, 1
Let m be 28/(-18)*(-24)/14. Suppose -6 = g - 3*g. Factor -2/3*k**4 - 8/3*k**2 + 0 - m*k**g + 0*k.
-2*k**2*(k + 2)**2/3
Let w = -2 - -4. Factor -2*b**w - 13 + 4*b**2 - 12*b + 31.
2*(b - 3)**2
Let m(x) be the third derivative of x**7/70 + x**6/20 - 3*x**5/20 - x**4/2 + 2*x**3 + 7*x**2. Find p such that m(p) = 0.
-2, 1
Let x be (-2)/12 - (8 + (-257)/30). Determine n, given that 14/5*n + 2*n**2 + x*n**3 + 6/5 = 0.
-3, -1
Let k(y) be the first derivative of y**4 - 4*y**3/3 + 12. Solve k(g) = 0 for g.
0, 1
Let r(g) be the third derivative of 1/5*g**5 + 1/105*g**7 + 1/3*g**3 + 0*g + 0 + 1/15*g**6 + 1/3*g**4 - 3*g**2. Find c such that r(c) = 0.
-1
Let m(j) be the first derivative of -2/15*j**5 + 1/2*j**4 + 4/9*j**3 - 2/3*j - 1 - 1/2*j**2 - 1/6*j**6. Determine f, given that m(f) = 0.
-1, -2/3, 1
Let x(t) be the second derivative of 0*t**2 + 1/78*t**4 + 1/39*t**3 + 0 - 9*t. Factor x(r).
2*r*(r + 1)/13
Let a(q) = -23*q + 161. Let d be a(7). What is f in 3/2*f**2 + 0 + d*f + 3/2*f**3 = 0?
-1, 0
Let -3/7*w**2 + 3/7*w**5 + 0 + 9/7*w**3 - 9/7*w**4 + 0*w = 0. Calculate w.
0, 1
Let k(j) be the first derivative of 10*j**5/11 + 10*j**4/11 - 14*j**3/11 - 20*j**2/11 - 8*j/11 + 5. Solve k(v) = 0.
-1, -2/5, 1
Suppose 5*w + 9 = 49. Determine z so that -6*z**4 + 3*z**2 + 3*z - z + 3*z**2 + w*z**5 - 10*z**3 = 0.
-1, -1/4, 0, 1
Let v be (3/108)/(10/6). Let u(y) be the third derivative of -v*y**6 + 1/12*y**4 + 0*y + 0*y**3 + 1/30*y**5 + 0 - 1/105*y**7 - 3*y**2. Factor u(z).
-2*z*(z - 1)*(z + 1)**2
Let w(u) = u**3 - 7*u**2 + 4*u + 8. Let v be w(6). Let n be 0 + 1 - 2 - v. Factor -3*d**3 - 2*d**n + 4*d**3.
-d**3
Suppose 17 = -4*q - h, q + 4*q + 25 = -5*h. Let y be (q/(-10))/(8/15). Factor y*w**3 + 1/2*w**4 + 0 - w**2 - 1/4*w**5 - w.
-w*(w - 2)**2*(w + 1)**2/4
Let z(k) be the second derivative of -k**4/12 + k**3/3 - k**2/2 - 4*k. Factor z(h).
-(h - 1)**2
Factor -h**2 - 2*h**2 - 3 + 0 - 5*h - h.
-3*(h + 1)**2
Let j(d) be the second derivative of d**7/63 - 2*d**6/45 + d**5/30 + 14*d. Factor j(m).
2*m**3*(m - 1)**2/3
Let a be (-9)/((-81)/78) - 8. Determine w so that 16/9*w + 4/9*w**4 - 8/9 + a*w**2 - 14/9*w**3 = 0.
-1, 1/2, 2
Let q(k) be the first derivative of k**5/3 + 5*k**4/2 + 25*k**3/9 - 19. Factor q(j).
5*j**2*(j + 1)*(j + 5)/3
Let a(i) = 3*i**2 - i**2 + 0*i**2 - i**2 - 4 - i. Let w(v) = v**2 - v - 1. Let p(z) = -a(z) + 4*w(z). Factor p(u).
3*u*(u - 1)
Let z be 4/10 + (-78)/(-30). Suppose 2 = -5*s + 3*a, s = 5*s + a - 12. Suppose -5*n**2 + 16*n - 2*n**4 - 7*n**s + 0*n**4 - 12*n**2 + 12*n**z = 0. What is n?
0, 2
Let m(v) = 2*v**3 + 2*v**2 - 3*v. Let d(x) = -x**3 - x**2 + 2*x. Suppose 2*n - 4*n = 4. Let a(i) = n*m(i) - 3*d(i). Factor a(l).
-l**2*(l + 1)
Find z, given that -9/5*z**4 - 24/5*z**3 + 6/5*z + 0 - 9/5*z**2 = 0.
-2, -1, 0, 1/3
Determine n so that -55*n + 4 - 40*n**2 + 20*n - 4 - 5*n**3 = 0.
-7, -1, 0
Suppose s + 3*s = 24. Solve 3*w**5 - 4*w**4 + s*w**2 + 5 - 4*w**3 + 3*w - 2*w - 4 - 3 = 0 for w.
-1, -2/3, 1
Let h be 1*(-1)/(-1) - -13. Suppose 2*p + 5*a - h = 0, 5*a - 3 - 1 = 3*p. Factor -2/9*y**p + 2/9*y**3 - 2/9*y + 0 + 2/9*y**4.
2*y*(y - 1)*(y + 1)**2/9
Let s(p) = -2*p**3 - 6*p - 1. Let n(r) = 5*r**3 + 13*r + 3. Let t(m) = 2*m**2 - 1. Let q be t(2). Let v(w) = q*s(w) + 3*n(w). Let v(d) = 0. What is d?
-2, 1
Let f(r) be the second derivative of r**8/13440 - r**7/3360 + r**5/480 - 11*r**4/12 - 4*r. Let p(i) be the third derivative of f(i). Let p(b) = 0. What is b?
-1/2, 1
Let z(v) be the third derivative of -v**5/40 + v**4/4 - v**3 + 4*v**2. Factor z(c).
-3*(c - 2)**2/2
Let o(s) be the second derivative of 3*s**5/20 - s**4/3 - s**3/6 + s**2 + 2*s. Let o(x) = 0. Calculate x.
-2/3, 1
Let y = -15 + 33. Factor -2 - 6*o**4 + y*o + 2*o**3 - 30*o**2 - 2 + 20*o**3.
-2*(o - 1)**3*(3*o - 2)
Let o(s) be the first derivative of 38*s**3/15 + 17*s**2/5 - 4*s/5 - 54. Solve o(b) = 0.
-1, 2/19
Let h = -106/9 - -12. Let b(x) be the first derivative of -1/6*x**2 + 1/4*x**4 + 1 + 0*x - h*x**3. Suppose b(o) = 0. What is o?
-1/3, 0, 1
Let u be (1/3)/((-1)/(-2)