= 0. Calculate v.
0, 1
Let i = -8/3 - -3. Let t = i - 0. What is r in 1/3*r**4 - t - 2/3*r**3 + 2/3*r + 0*r**2 = 0?
-1, 1
Let y(q) be the third derivative of q**5/15 - q**4/3 + 2*q**3/3 + 6*q**2. Let y(t) = 0. Calculate t.
1
Suppose 8*d - 17 = 15. Let x(t) be the first derivative of -1/5*t**5 + 1/3*t**3 + 0*t + 1/4*t**d - 2 - 1/2*t**2. What is h in x(h) = 0?
-1, 0, 1
Let v(n) be the second derivative of -2*n**7/21 + 2*n**6/5 - 2*n**5/5 - 2*n**4/3 + 2*n**3 - 2*n**2 + 8*n. Suppose v(p) = 0. Calculate p.
-1, 1
Let o(r) be the third derivative of -r**6/240 - r**5/40 - r**4/16 - r**3/12 - 8*r**2. Factor o(g).
-(g + 1)**3/2
Suppose 0 = 5*l + l + 48. Let c(b) = -b**2 - 2*b - 4. Let g = 0 - 3. Let w(u) = 3*u**2 + 6*u + 11. Let y(q) = g*w(q) + l*c(q). Factor y(j).
-(j + 1)**2
Let i be ((-4)/(-3))/(-3*(-26)/117). Factor -3/2*q**i - 24 - 12*q.
-3*(q + 4)**2/2
Let l = -5 - -9. Suppose -4*c - 5*n + 96 = 0, 0 = -2*c - 3*n + 39 + 9. Factor 9*m**2 - 12*m**4 + 9*m**l + c*m**3 + m + 19*m**4.
m*(m + 1)*(4*m + 1)**2
Let b(z) = -z**2 + z + 2. Let t be b(3). Let d be ((-9)/t - 2)/1. Factor -d*k**3 + 1/2 + 3/4*k + 0*k**2.
-(k - 2)*(k + 1)**2/4
Suppose 3*r + x - 1 = 0, 4*r - 3*x = x + 28. Factor -1/2 + 3/2*b**4 - 1/2*b**5 - b**3 - b**r + 3/2*b.
-(b - 1)**4*(b + 1)/2
Let k(p) be the third derivative of 0 + 1/12*p**3 + 0*p - 5/96*p**4 - 7/240*p**5 + p**2. Factor k(d).
-(d + 1)*(7*d - 2)/4
Let c(l) be the first derivative of -l**6/360 + l**5/60 - 2*l**3/3 + 2. Let g(u) be the third derivative of c(u). Factor g(r).
-r*(r - 2)
Factor j**4 - 3*j**4 + j**2 + j**2 + 0*j**4.
-2*j**2*(j - 1)*(j + 1)
Let f = -9 + 13. Suppose 0*g + f = 2*g. Determine x, given that -x**3 + x + 4*x**4 - x**g - 5*x**4 + 2*x**2 = 0.
-1, 0, 1
Let h = 134 - 134. Let b(c) be the third derivative of -1/240*c**5 + 1/24*c**3 - 4*c**2 + 0*c + h*c**4 + 0. Solve b(j) = 0 for j.
-1, 1
Suppose 2*i = i + 11. Let d be (-1)/5 - i/(-5). Determine p so that p - 2*p - p**d + 1 + 0*p + p**3 = 0.
-1, 1
Let d(v) be the third derivative of v**8/110880 + v**7/13860 + v**6/3960 - v**5/60 + 2*v**2. Let b(o) be the third derivative of d(o). Factor b(r).
2*(r + 1)**2/11
Suppose 2*v = 3*b - 21, 4 = -4*v - 8. Let s be 0/((b + 3)/(-4)). Factor s + 4/3*n**2 - 1/3*n.
n*(4*n - 1)/3
Factor -3/4*v**4 + 1/2*v**3 + 0*v + 0 + 1/4*v**5 + 0*v**2.
v**3*(v - 2)*(v - 1)/4
Suppose 45 = 4*k + k. Let v be (-3)/k*6/(-8). Let -1/4*c**3 + v*c - 1/4*c**2 + 1/4 = 0. What is c?
-1, 1
Let h(i) be the third derivative of i**7/140 - i**6/120 - i**5/40 + i**4/24 + 5*i**2. Factor h(r).
r*(r - 1)*(r + 1)*(3*r - 2)/2
Suppose 4*o - 2*w - 316 = 0, -4*o = -4*w - 16 - 304. Let u be (o/5)/6 + -2. Factor -3/5*r - u + 6/5*r**2.
3*(r - 1)*(2*r + 1)/5
Suppose -j + 0 = -4. Let l(f) = -f**2 + 4*f + 7. Let q be l(5). Determine v, given that 1 - 2*v**q - 5 + 8*v - j = 0.
2
Let t(c) be the second derivative of 0 - 1/9*c**3 + 0*c**2 + 7*c - 1/18*c**4. Factor t(r).
-2*r*(r + 1)/3
Let j(b) be the first derivative of -b**6/195 + b**5/130 + b**4/39 + 6*b - 1. Let w(m) be the first derivative of j(m). Let w(h) = 0. What is h?
-1, 0, 2
Let t be (-2 + 4/(-2))*(-3 - -2). Let -1/2*k + 1/2*k**t + k**3 - 1/2*k**5 + 1/2 - k**2 = 0. What is k?
-1, 1
Let u be (2/20)/(39/(-2054)). Let n = u - -28/5. Determine d, given that 1/3*d**4 + 0*d**3 + 0 + 0*d + 0*d**2 + n*d**5 = 0.
-1, 0
Let v(a) = -5*a**3 + 12*a**2 + 13*a - 8. Let w(h) = 23*h**3 - 60*h**2 - 64*h + 41. Let z(n) = 11*v(n) + 2*w(n). Suppose z(j) = 0. Calculate j.
-1, 1/3, 2
Let u = 3287/9 + -365. Suppose 0 + 2/9*p**2 + u*p = 0. What is p?
-1, 0
Factor 4*s**2 + 57*s**4 + s**5 + 9*s**3 - 9*s**4 - 33*s**5 + 21*s**3.
-2*s**2*(s - 2)*(4*s + 1)**2
Factor -21*o**2 - 2*o**3 + 21*o**2 + 2*o**4.
2*o**3*(o - 1)
Let k(o) be the second derivative of -1/48*o**4 + 0*o**3 + 1/80*o**5 + 7*o + 0 + 0*o**2. Factor k(g).
g**2*(g - 1)/4
Let j(d) be the third derivative of d**6/300 - d**5/150 + 8*d**2. Factor j(n).
2*n**2*(n - 1)/5
Let j be 1 + (-6 - -1 - 230/(-55)). Factor 4/11*f**3 + 6/11*f**2 - j*f**4 - 8/11 - 8/11*f.
-2*(f - 2)**2*(f + 1)**2/11
Suppose -8*o + 2 = -7*o. Let q(h) be the first derivative of -1/5*h**5 + 1/3*h**3 + 2 + 0*h**o + 0*h**4 + 0*h. Factor q(r).
-r**2*(r - 1)*(r + 1)
Let i(p) be the third derivative of 0*p**4 + 0 + 0*p - 1/90*p**5 + 0*p**3 + 1/360*p**6 + 4*p**2. Factor i(g).
g**2*(g - 2)/3
Let a(w) be the third derivative of w**6/24 - w**5/2 - 5*w**4/24 + 5*w**3 + w**2 - 29. Factor a(r).
5*(r - 6)*(r - 1)*(r + 1)
Let d be 8/224*(-2)/(-6). Let s(c) be the third derivative of 1/735*c**7 + 0*c - 1/210*c**5 + 0 + 0*c**3 - d*c**4 - 2*c**2 + 1/420*c**6. Factor s(y).
2*y*(y - 1)*(y + 1)**2/7
Let u(t) be the first derivative of -2/27*t**3 + 0*t - 1/9*t**2 - 3. Factor u(i).
-2*i*(i + 1)/9
Let h(u) = u**5 - 7*u**4 + 8*u**3 + 6*u**2 - 7*u + 5. Let z(c) = -6*c**4 + 9*c**3 + 6*c**2 - 6*c + 6. Let q(b) = 3*h(b) - 2*z(b). Factor q(y).
3*(y - 1)**4*(y + 1)
Let o(s) be the first derivative of -2*s**6/21 - 4*s**5/35 - 2. Factor o(p).
-4*p**4*(p + 1)/7
Let w be 5/5 - (-2 + -1). Let f**2 + 2*f + 2*f**2 + 5*f**w - f**4 - 5*f**4 = 0. What is f?
-1, 0, 2
Find o such that 15/4*o**4 + 3/4*o**5 + 21/4*o**3 - 3 - 3/4*o**2 - 6*o = 0.
-2, -1, 1
Let q = -16 - -16. Let n(i) be the first derivative of -1 + 0*i**4 - 1/20*i**5 + 0*i + 1/12*i**3 + q*i**2. Factor n(r).
-r**2*(r - 1)*(r + 1)/4
Let p(f) be the second derivative of -f**5/360 - f**4/72 - f**3/36 - f**2/2 - f. Let u(s) be the first derivative of p(s). Factor u(k).
-(k + 1)**2/6
Let b = 155 + -2324/15. Let r(c) be the first derivative of 2 + 2/5*c + b*c**3 - 3/10*c**2. Suppose r(m) = 0. What is m?
1, 2
Let a(c) be the third derivative of -c**5/120 - c**4/48 - 74*c**2. Factor a(m).
-m*(m + 1)/2
Solve -12/7*x**2 + 10/7*x**4 - 40/7*x + 16/7 + 26/7*x**3 = 0 for x.
-2, 2/5, 1
Factor -2/9*y + 2/9*y**2 - 2/9 + 2/9*y**3.
2*(y - 1)*(y + 1)**2/9
Let y(i) be the third derivative of i**11/110880 + i**10/50400 + i**5/30 - 4*i**2. Let m(c) be the third derivative of y(c). Factor m(l).
3*l**4*(l + 1)
Let j(s) be the second derivative of 4*s**6/15 - 2*s**5/5 - s**4/2 + 4*s**3/3 - s**2 + 3*s. What is b in j(b) = 0?
-1, 1/2, 1
Let m(z) = z + 6. Let q be m(0). Determine i so that -2*i**3 - 3 + 7*i**3 + 3*i**4 - q*i - 5*i**3 + 6*i**3 = 0.
-1, 1
Suppose -4*m + f = -56, 0 = 3*m + 2*f + 3*f - 42. Let b = 14 - m. Let -10/3*o**2 - 2/3*o - 4*o**3 + b = 0. Calculate o.
-1/2, -1/3, 0
Let c be 3 - (1 - 33/(-18)). Let t(o) be the third derivative of 1/6*o**6 + 7/20*o**5 + 0*o + 0 + 0*o**4 - c*o**3 + 3*o**2. Factor t(a).
(a + 1)*(4*a + 1)*(5*a - 1)
Let z(r) be the first derivative of 0*r**3 + 3/5*r**5 - 1/5*r**4 + 0*r**2 - 1 - 1/2*r**6 - 4*r. Let q(d) be the first derivative of z(d). Factor q(x).
-3*x**2*(5*x - 2)**2/5
Find w, given that 1/2*w**3 + 1/2*w**2 + 1/6*w + 1/6*w**4 + 0 = 0.
-1, 0
Let x = 879/5 - 174. Factor -x*m**2 + 9/5*m - 3/5 + 3/5*m**3.
3*(m - 1)**3/5
Factor 1/4 + 1/2*n + 1/4*n**2.
(n + 1)**2/4
Let j(a) = a**3 - 3*a**2 + a + 2. Let v be j(2). Suppose -749*y = -753*y. Factor -p**3 + 1/2*p**5 + 1/2*p + v*p**4 + y + 0*p**2.
p*(p - 1)**2*(p + 1)**2/2
Let y(i) = 4*i**5 - 2*i**4 - 2*i. Let u(m) = -5*m**5 + 2*m**4 - m**3 + m**2 + 3*m. Let v(d) = 2*u(d) + 3*y(d). Factor v(h).
2*h**2*(h - 1)**2*(h + 1)
Let h be 3/12 - (-14)/8. Factor 5*b**4 + 3*b**3 + h*b - 3*b**3 + 7*b**2 + b**5 + 9*b**3.
b*(b + 1)**3*(b + 2)
Let i(q) be the first derivative of 2*q**3/21 + 4*q**2/7 + 4. Factor i(m).
2*m*(m + 4)/7
Let c = 120 - 118. Factor 2/9 + 2/9*v**c - 4/9*v.
2*(v - 1)**2/9
Let j(g) be the third derivative of g**7/7560 + g**6/1080 - g**5/120 + g**4/24 + 8*g**2. Let t(r) be the second derivative of j(r). Factor t(x).
(x - 1)*(x + 3)/3
Let f(g) = 16*g**5 - 48*g**4 + 36*g**3 + 4*g**2 - 4*g. Let a(s) = -15*s**5 + 47*s**4 - 36*s**3 - 4*s**2 + 3*s. Let j(c) = 4*a(c) + 5*f(c). Factor j(y).
4*y*(y - 1)**3*(5*y + 2)
Let g(v) be the first derivative of v**4/36 - 22. Factor g(k).
k**3/9
Let g(l) be the third derivative of l**8/112 + l**7/70 - l**6/20 - l**5/10 + l**4/8 + l**3/2 + 3*l**2. Let g(n) = 0. What is n?
-1, 1
Factor 3/2*w**3 + 0*w - 3/2*w**2 + 0.
3*w**2*(w - 1)/2
Let a be ((-40)/12 + 3)*3. Let z be a/(-2) - (-20)/8. Determine j so that -10/7*j**z - 6/7*j**4 + 0 + 0*j - 4/7*j**2 = 0.
-1, -2/3, 0
Let u(h) = h**3 + 10*h**2 - 2*h + 5. Let s