/7 = 0. What is l?
-2, -1
Let a(w) be the first derivative of 4*w**5/25 - 4*w**3/15 + 24. Find z such that a(z) = 0.
-1, 0, 1
Let x(k) be the third derivative of 0 + 0*k**3 - 1/30*k**5 + 1/120*k**6 + 0*k + 1/24*k**4 - 3*k**2. Suppose x(u) = 0. What is u?
0, 1
Let f = 9 - 39. Let h be (-5)/20 - f/56. Find i such that -h*i - 2/7*i**2 + 0 = 0.
-1, 0
Suppose -3*r + 5*r - 5*v = 18, 0 = v + 2. Let m(p) be the second derivative of p - 1/36*p**r + 0 - 1/3*p**2 + 1/6*p**3. Factor m(f).
-(f - 2)*(f - 1)/3
Let d(r) = 4*r**2 + 43*r - 47. Let f(k) = 28*k**2 + 300*k - 328. Let y(a) = 20*d(a) - 3*f(a). Solve y(x) = 0.
-11, 1
Let v(n) be the first derivative of n**3/33 + n**2/11 + 28. Factor v(r).
r*(r + 2)/11
Let u(f) = -f - 3. Let s be u(-5). Suppose -2*c - z = -2, 0 = -0*z + 2*z + 8. Factor 2*p**2 + p**3 + s*p**3 + 2*p - 2 - 5*p**c.
-2*(p - 1)**2*(p + 1)
Factor 41*h**4 + 3*h**3 + 5*h - 18*h**2 + 34*h**5 + 31*h**4 - 2*h + 14*h**5.
3*h*(h + 1)**2*(4*h - 1)**2
Let t(w) be the first derivative of 2/5*w - 2 + 1/2*w**2 - 1/25*w**5 + 1/5*w**3 - 1/20*w**4. Find p such that t(p) = 0.
-1, 2
Let n be 1 + 6/9 - 4/(-12). Let q(j) be the first derivative of -2*j**n - 1 - 1/3*j**3 - 4*j. Factor q(b).
-(b + 2)**2
Factor -8*b**2 + 2*b**2 + 15 - 20*b**3 + 20*b - 9*b**2.
-5*(b - 1)*(b + 1)*(4*b + 3)
Let a(h) be the first derivative of -3/4*h**2 - 5/6*h**3 - 3 + h. Let a(x) = 0. What is x?
-1, 2/5
Let t(h) be the second derivative of -h**7/357 - h**6/255 + 3*h**5/170 + 5*h**4/102 + 2*h**3/51 + 32*h. Factor t(z).
-2*z*(z - 2)*(z + 1)**3/17
Factor 72*r + 5*r**4 - 15*r**2 - 141*r + 79*r.
5*r*(r - 1)**2*(r + 2)
Let c(u) be the first derivative of -3*u**5/5 + 3*u**4/4 + 5. Factor c(a).
-3*a**3*(a - 1)
Let y(x) be the first derivative of x**4/54 + x**3/27 - 3*x - 1. Let b(j) be the first derivative of y(j). Factor b(m).
2*m*(m + 1)/9
Let y(v) be the third derivative of v**6/120 + v**5/15 + 5*v**4/24 + v**3/3 + 21*v**2. Factor y(z).
(z + 1)**2*(z + 2)
Determine l, given that 0*l + 4*l - 12 - 3*l**2 + 13*l - 2*l = 0.
1, 4
Let y(d) be the first derivative of 8*d**5/5 + d**4 - 5. What is p in y(p) = 0?
-1/2, 0
Let j(s) be the second derivative of 0*s**2 + 0 + 1/40*s**5 - s + 1/24*s**4 + 0*s**3. Factor j(w).
w**2*(w + 1)/2
Determine r, given that 0*r + 6*r + 3 - 13 + 6 - 2*r**2 = 0.
1, 2
Let f(v) = -v**2 + 8*v - 7. Suppose 4*j - 20 = -2*k, -4*j + 0 = 4*k - 12. Let m be f(j). Factor m + 2/7*h + 0*h**2 - 2/7*h**3.
-2*h*(h - 1)*(h + 1)/7
Let f = 2/17 - -13/34. Let s(k) be the second derivative of 1/5*k**5 - f*k**2 - k + 1/10*k**6 - 2/3*k**3 + 0 - 1/6*k**4. Factor s(q).
(q - 1)*(q + 1)**2*(3*q + 1)
Let j(v) be the first derivative of v**4/16 + v**3/12 - 9. Factor j(p).
p**2*(p + 1)/4
Factor 2/5*k**2 + 18/5 + 12/5*k.
2*(k + 3)**2/5
Let i(b) be the second derivative of 0 + 0*b**2 - 3*b - 1/6*b**3 - 1/12*b**4. Factor i(k).
-k*(k + 1)
Let q(v) be the first derivative of 0*v**2 + 0*v**3 - 1/100*v**5 - 1 - 1/150*v**6 + v + 0*v**4. Let k(x) be the first derivative of q(x). Factor k(b).
-b**3*(b + 1)/5
Let c(s) be the third derivative of s**9/68040 - s**8/15120 + s**4/24 + s**2. Let n(a) be the second derivative of c(a). Determine x, given that n(x) = 0.
0, 2
Let r be -2 - (2 + -3 + -3). Suppose f - 1 = -w, -3*f + 4 - 3 = r*w. Factor 0 + 2/5*p**w - 4/5*p.
2*p*(p - 2)/5
Let m(s) = 75*s**2 - 58*s + 14. Let y(z) = 225*z**2 - 173*z + 43. Let n(a) = 7*m(a) - 2*y(a). Factor n(b).
3*(5*b - 2)**2
Let o(x) = -x**3 - x**2 + 3*x + 2. Let m be o(-2). Let z = m + 3. Factor 0*u - 2/7*u**z - 8/7 + 6/7*u**2.
-2*(u - 2)**2*(u + 1)/7
Let z(v) be the third derivative of -1/420*v**6 + 0 + 1/210*v**5 + 0*v + 0*v**3 + 1/42*v**4 + 7*v**2. Suppose z(j) = 0. What is j?
-1, 0, 2
Suppose 2*h + 2 = 3*h. Factor 0*p - 8/7 + 6/7*p**h - 2/7*p**3.
-2*(p - 2)**2*(p + 1)/7
Let r = -3/55 - 1259/110. Let c = -11 - r. Factor c*q**2 + 0*q - 1/2*q**3 + 0.
-q**2*(q - 1)/2
Let v(z) be the second derivative of -z**7/189 + z**5/15 + 4*z**4/27 + z**3/9 - 7*z. Suppose v(k) = 0. Calculate k.
-1, 0, 3
Let d(h) be the first derivative of -16*h**5/25 + 3*h**4 - 64*h**3/15 + 6*h**2/5 + 8*h/5 + 3. Find t, given that d(t) = 0.
-1/4, 1, 2
Find l, given that 0*l**2 + 1/3 + 2/3*l**3 - 1/3*l**4 - 2/3*l = 0.
-1, 1
Let s(t) = 5*t**4 - 4*t**3 + 8*t**2. Let v(m) = m**4 - m**3 + 2*m**2. Let u(b) = 2*s(b) - 9*v(b). Factor u(q).
q**2*(q - 1)*(q + 2)
Let o be (-3 + 10/6)*-36. Let s = 146/3 - o. Suppose s*w**2 - 4/9*w**3 + 0 + 4/9*w = 0. Calculate w.
-1/2, 0, 2
Let v be (-4)/(-3) - 4/3. Let k be (5/2 + -2)*v. Factor 14/9*c**2 + 2/3*c**3 + k*c - 8/9.
2*(c + 1)*(c + 2)*(3*c - 2)/9
Let g(o) be the third derivative of o**8/2184 + o**7/1365 - o**6/390 - o**5/195 + o**4/156 + o**3/39 - 8*o**2. Factor g(v).
2*(v - 1)**2*(v + 1)**3/13
Solve 2/7*q + 1/7*q**2 + 1/7 = 0.
-1
Suppose 0 = 4*p - 33 + 25. Factor -8/3*u**2 - p*u**3 + 4/3 + 2/3*u.
-2*(u + 1)**2*(3*u - 2)/3
Let r be 2 - (-1 + (0 - -1)). Find b such that 3*b**4 - b**4 - r*b**5 + 4*b**5 + 0*b**4 = 0.
-1, 0
Suppose -4*n = -3*g + 17, -3*g - 4*n - 1 + 2 = 0. Determine f, given that -1/5*f**g + 1/5*f + 0*f**2 + 0 = 0.
-1, 0, 1
Let n(k) = -3*k**2 + k - 6. Let t(c) be the third derivative of -1/20*c**5 + 0*c - 7/6*c**3 + c**2 + 0*c**4 + 0. Let x(o) = -5*n(o) + 4*t(o). Factor x(h).
(h - 1)*(3*h - 2)
Let y be 3/(-4 - 125/(-30)). Let r be 0*(-4 + y/4). Factor -2*c**2 - 2/3*c + 8/3*c**3 + r.
2*c*(c - 1)*(4*c + 1)/3
Let -18*r - 30*r + 27*r + 17*r**2 - 6 - 5*r**2 = 0. Calculate r.
-1/4, 2
Suppose 5*t + 5*b = -10, 4*t - t - 3*b = 18. Factor -2*i**3 + i + 2*i**2 - t + i + 0*i.
-2*(i - 1)**2*(i + 1)
Let b(x) be the first derivative of -2/3*x**3 - 2*x**2 - 1 - 1/12*x**4 - 2*x. Let o(f) be the first derivative of b(f). Solve o(i) = 0 for i.
-2
Let x be (-8)/10*20/(-8). Let u(o) be the third derivative of 1/15*o**3 + 0*o - 1/30*o**4 + 0*o**5 + 1/150*o**6 - 1/525*o**7 + 0 + 3*o**x. Factor u(m).
-2*(m - 1)**3*(m + 1)/5
Let o(t) = t**3 + 10*t**2 + 11*t + 20. Let y be o(-9). Find u, given that 4/5*u**4 + 0*u - 2/5*u**3 - 4/5*u**y + 0 + 2/5*u**5 = 0.
-2, -1, 0, 1
Let y = -3/391 - -406/1955. Factor 1/5*f**3 + 1/5*f**2 - y - 1/5*f.
(f - 1)*(f + 1)**2/5
Let x(v) = -5*v + 9. Let k be x(6). Let c be (-57)/k + 4/14. Factor -m**2 - c*m**2 - m**2 - 2 - 4*m + 3*m**2.
-2*(m + 1)**2
Let r(y) be the third derivative of 1/120*y**6 - 1/24*y**4 + 1/20*y**5 + y**2 + 0*y - 1/210*y**7 + 0 - 1/3*y**3. Factor r(x).
-(x - 2)*(x - 1)*(x + 1)**2
Let o(b) be the first derivative of b**6/2 + 2*b**5/5 - 4. Factor o(w).
w**4*(3*w + 2)
Let r(s) be the third derivative of -s**7/252 - s**6/48 + 5*s**5/72 + 5*s**4/48 - 5*s**3/9 + 6*s**2. Suppose r(f) = 0. Calculate f.
-4, -1, 1
Find q, given that -9/4*q**3 + 5/4*q**4 + 1/2 + 9/4*q - 7/4*q**2 = 0.
-1, -1/5, 1, 2
Suppose -3*f = 2*f - 2*l + 84, 4*f - 4*l + 60 = 0. Let w be (2/4)/((-3)/f). Factor 0*m - 1/4*m**4 - 1/4*m**2 + 0 - 1/2*m**w.
-m**2*(m + 1)**2/4
Suppose -4*y = 2*t + 12, 3*t + 4*y - 2 = -22. Let k be 10/6 - t/24. Factor 0 + 1/3*b - 4/3*b**k + b**3.
b*(b - 1)*(3*b - 1)/3
Let d be ((-4)/(-2))/(14/(-35)) + 8. Factor 1/3*p + 0 + 2/3*p**2 + 1/3*p**d.
p*(p + 1)**2/3
Let b(h) = h. Let n be b(7). Suppose n = -5*v + 27. Find i, given that -2*i**4 - 6*i**2 + 2*i**3 - 2*i**5 + 3*i**v + 4*i**2 + i**4 = 0.
-1, 0, 1
Factor -3*b**4 + 3/4 - 27/4*b**2 + 3/4*b + 33/4*b**3.
-3*(b - 1)**3*(4*b + 1)/4
Let t = -36999/50 + 740. Let o(h) be the third derivative of -1/15*h**3 + 1/150*h**6 + h**2 + 0 + t*h**5 + 0*h + 0*h**4. Suppose o(b) = 0. What is b?
-1, 1/2
Let q be 2/(-40)*(-40)/35. Let r(p) be the first derivative of -2/21*p**3 + q*p**5 + 0*p + 1/14*p**4 - 2 - 1/21*p**6 + 0*p**2. Let r(f) = 0. Calculate f.
-1, 0, 1
Let m(x) = x. Let r be m(3). Factor 2*u**2 + 2*u**2 - 7*u**2 + r.
-3*(u - 1)*(u + 1)
Let u be ((-102)/30 + 4)/((-2)/(-10)). Factor -1/3 + 1/3*v**2 + 1/3*v**u - 1/3*v.
(v - 1)*(v + 1)**2/3
Let s(h) be the third derivative of -h**8/504 + h**7/315 + h**6/180 - h**5/90 + 17*h**2. What is g in s(g) = 0?
-1, 0, 1
Let r(q) be the first derivative of 7*q**5/10 + 37*q**4/8 + 59*q**3/6 + 35*q**2/4 + 3*q + 4. Let r(u) = 0. What is u?
-3, -1, -2/7
Let a(r) = 2*r - 1. Let j be a(2). Let z(p) be the first derivative of -8/9*p + 20/9*p**2 - 50/27*p**j + 2. Find x such that z(x) = 0.
2/5
Let n(u) = 2*u + 3. Let t be n(6). Solve t*a -