/9*m**5 - 2/9*m**3 + 2/3*m**4 - 2/3*m**2 + 0*m + 0 = 0.
-3, -1, 0, 1
Let w(m) = -m**3 + m**2. Suppose 4 = 4*h - 2*g, 4*g - 3 + 21 = -2*h. Let b(i) = 2*i**5 + 2*i**4 + 4*i**3 - 8*i**2. Let q(r) = h*b(r) - 6*w(r). Factor q(t).
-2*t**2*(t - 1)*(t + 1)**2
Let a(d) be the first derivative of -2/7*d + 1 - 4/21*d**3 + 1/21*d**6 + 6/35*d**5 - 3/7*d**2 + 1/7*d**4. Let a(x) = 0. Calculate x.
-1, 1
Let z(p) be the first derivative of 0*p + 1/3*p**2 + 2/3*p**3 + 1/2*p**4 - 2 + 2/15*p**5. Factor z(h).
2*h*(h + 1)**3/3
Let q be ((-30)/4)/((-6)/8). Suppose 0 = -5*j - q, g + 4*g - 4*j - 23 = 0. Let 3*b**4 - 2*b**2 + 2*b + 4*b**4 - 5*b**4 - 2*b**g = 0. Calculate b.
-1, 0, 1
Let v = 323/1155 + 1/165. Factor 0*c + v*c**5 + 6/7*c**3 - 2/7*c**2 + 0 - 6/7*c**4.
2*c**2*(c - 1)**3/7
Factor -4*j**2 + 2*j + j**3 + j**3 - 8*j**3 + 0*j**3.
-2*j*(j + 1)*(3*j - 1)
Let l(j) be the third derivative of j**7/2100 + j**6/300 + j**3/6 + 2*j**2. Let o(u) be the first derivative of l(u). Determine c so that o(c) = 0.
-3, 0
Let u = -53 + 109/2. Factor -1/2*t**5 - t**2 + 3/2*t**4 - t**3 + u*t - 1/2.
-(t - 1)**4*(t + 1)/2
Let t(b) be the third derivative of -b**7/1680 + b**6/720 - b**3/6 + b**2. Let c(z) be the first derivative of t(z). Let c(v) = 0. Calculate v.
0, 1
Let a = -28 + 34. Let o be 68/120 + (-1)/a. Find j, given that -j + 2/5*j**2 + 1/5*j**5 + 4/5*j**3 - 4/5*j**4 + o = 0.
-1, 1, 2
Let b(j) = j**2 + 30*j - 51. Let r(p) = -p**2 - 60*p + 101. Let u(m) = -11*b(m) - 6*r(m). Factor u(h).
-5*(h - 3)**2
Let t be (2 - 1)/(77/56). Let a = t - 2/33. Find o, given that 2/3 + a*o**4 - 4/3*o**3 + 2/3*o**5 - 4/3*o**2 + 2/3*o = 0.
-1, 1
Let a(l) be the third derivative of 27*l**7/14 - 15*l**6/2 + 59*l**5/6 - 25*l**4/6 + 5*l**3/6 + 4*l**2 + 3. Factor a(i).
5*(i - 1)**2*(9*i - 1)**2
Let f(o) = o**2 + 1. Let i(w) = -2*w**3 + 18*w**2 - 96*w + 122. Let a(h) = 6*f(h) + i(h). Solve a(k) = 0 for k.
4
Let h be (12/(-15))/(4/(-10)). Suppose -h*n = 3*n - 40. Determine a, given that -4*a + 7 + 16*a**5 + 3*a - 7 - 8*a**2 + n*a**4 - 15*a**3 = 0.
-1, -1/4, 0, 1
Let n(k) be the first derivative of 2*k**6/3 - 2*k**5/5 - k**4/2 - 2. Factor n(p).
2*p**3*(p - 1)*(2*p + 1)
Let c(f) be the second derivative of f**7/1260 - f**6/270 + f**5/180 + 2*f**3/3 - f. Let g(y) be the second derivative of c(y). Factor g(p).
2*p*(p - 1)**2/3
Let l(d) be the third derivative of -7*d**2 + 9/28*d**4 - 9/7*d**3 + 0*d + 1/420*d**6 + 0 - 3/70*d**5. Solve l(v) = 0.
3
Let h(w) = w. Let x be h(2). Suppose x*u - 11 - 1 = 0. Factor -6 + u + 1 - c - c**2 + c**3.
(c - 1)**2*(c + 1)
Factor 0*b**2 - b**2 + 2*b**2 - 5*b**2.
-4*b**2
Factor -2/7*p**3 + 6/7*p**2 - 6/7*p + 2/7.
-2*(p - 1)**3/7
Let c be 0/(1*-2) - -4. Let f = 5 + -3. Factor f + 4*z**3 - 4*z**2 - z**5 - 2*z**5 - 2*z + 2*z**c + z**5.
-2*(z - 1)**3*(z + 1)**2
Suppose 5*w = -5*t - 5, 0 = 3*w - 5*w - 3*t - 5. Determine b, given that -10*b**2 + 5*b**w - 32*b - 8 + 0*b**2 - 9*b**2 = 0.
-2, -2/7
Let u(f) be the first derivative of 0*f - 1 - 1/36*f**4 + f**2 + 1/18*f**3 + 1/180*f**5. Let z(d) be the second derivative of u(d). Solve z(k) = 0 for k.
1
Let u(i) be the first derivative of -1/5*i**2 - 5 + 0*i**3 + 0*i + 1/10*i**4. Determine g so that u(g) = 0.
-1, 0, 1
Suppose -6*q - 9*q = -60. Let w(o) be the first derivative of 0*o - o**q + 3 + 8/3*o**3 - 8/3*o**2 + 2/15*o**5. Factor w(p).
2*p*(p - 2)**3/3
Let v = 17 - 10. Let s = -4 + v. Determine k so that k**3 - 3*k**s + k**3 = 0.
0
Let n(m) = -m**4 - m**3 - m**2 - m - 1. Let w(d) = -d**4 - 4*d**3 - 3*d**2 - 2. Let c(f) = -2*n(f) + w(f). Find t, given that c(t) = 0.
-1, 0, 1, 2
Let q(g) be the second derivative of g**5/10 + g**4/6 - 2*g**3/3 - 6*g. Solve q(x) = 0.
-2, 0, 1
Let f = 121/3 + -39. Let z be (-2)/(-3) - (-1)/(-3). Solve 0 + 2*j**3 + z*j + 1/3*j**5 + 4/3*j**4 + f*j**2 = 0 for j.
-1, 0
Factor 1/6*a**3 - 4/3*a + 2 - 1/6*a**2.
(a - 2)**2*(a + 3)/6
Suppose -28 = -5*u - 8. Suppose -4*r + 7 = -o, u*o = -r + 2*r - 13. Determine z so that 1/2*z**2 - r - 1/2*z = 0.
-1, 2
Let k(u) = -u - 9. Let b be k(-8). Let v be 2/4*(b - -5). Factor 2/3*s**v + 0 + 2/3*s.
2*s*(s + 1)/3
Factor 4*y**2 + 261*y - 525*y + 2 + y**3 + 269*y.
(y + 1)**2*(y + 2)
Suppose 8*b = -70 + 662. Let a = b - 218/3. Let 1/3*g**2 - a*g + 4/3 = 0. What is g?
2
Let m(a) = 4*a**2 + 2*a + 1. Let n be m(-1). Factor -r**2 - 2 + r**n - r + 3*r**2 + 0.
(r - 1)*(r + 1)*(r + 2)
Let f(s) be the third derivative of -s**7/315 - s**6/90 - s**5/90 - 9*s**2. Let f(r) = 0. Calculate r.
-1, 0
Suppose -5*s = -5*u, -u + 9 = -2*s + 4*u. Let h(t) be the second derivative of 0 + 0*t**s + 1/6*t**4 - 4*t + 0*t**2. Find n, given that h(n) = 0.
0
Let o(q) be the third derivative of q**6/120 + q**5/12 + 5*q**4/24 + 2*q**3/3 - 2*q**2. Let k be o(-4). Factor k*g**2 + 1/3*g**4 + 0*g + 0 + 0*g**3.
g**4/3
Suppose -4*a**4 - 6*a**3 - 6*a**2 - a**4 - 2*a + 3*a**4 = 0. Calculate a.
-1, 0
Let z(f) be the first derivative of 0*f - 7 - 1/18*f**3 - 1/6*f**2. Factor z(l).
-l*(l + 2)/6
Let d(m) be the third derivative of m**7/945 - m**6/120 + m**5/540 + m**4/18 - 15*m**2. Factor d(x).
x*(x - 4)*(x + 1)*(2*x - 3)/9
Let r(j) be the third derivative of j**5/140 + 5*j**4/28 + 25*j**3/14 - 11*j**2. Factor r(m).
3*(m + 5)**2/7
Let g(j) be the first derivative of -j**3/6 + 6. What is p in g(p) = 0?
0
Let p(v) = -v**3 + 5*v**2 - 7. Let l(n) = n**3 - 6*n**2 + 8. Let q(z) = -5*l(z) - 6*p(z). Let f(o) be the first derivative of q(o). Factor f(i).
3*i**2
Let i be 4/26 + 174/(-1638). Let j(h) be the first derivative of 5/7*h**2 + 1 - 2/7*h**5 - 20/21*h**3 + i*h**6 + 5/7*h**4 - 2/7*h. Factor j(p).
2*(p - 1)**5/7
Let p(s) be the third derivative of s**6/360 + s**5/60 + s**4/36 - 2*s**2. Suppose p(i) = 0. Calculate i.
-2, -1, 0
Let l be (410/(-8))/(3/12). Let g = l + 2257/11. Let g*k**3 - 6/11*k + 0*k**2 + 4/11 = 0. Calculate k.
-2, 1
Let n be (-19)/(-6) + (-4)/24. Let k be n/((-6)/4)*-1. Find j, given that -2/7*j**4 + 0 + 2/7*j**k + 2/7*j - 2/7*j**3 = 0.
-1, 0, 1
Let d(o) = -o**3 + 6*o**2 - 3*o - 6. Let q be d(5). Factor -3*z**q + 6*z**3 + 2*z**5 - z**5 - 3*z**5 - z**5.
-3*z**3*(z - 1)*(z + 2)
Let a = -88 - -266/3. Let x(f) be the first derivative of 2/5*f**5 - 1 + 1/2*f**2 + 0*f - a*f**3 + 0*f**4 - 1/6*f**6. What is d in x(d) = 0?
-1, 0, 1
Let s(r) = r**2 - 13*r + 30. Let u be s(3). Factor -2/9*a**5 + 0 + u*a**3 + 0*a + 0*a**2 - 2/9*a**4.
-2*a**4*(a + 1)/9
Let g(y) be the first derivative of y**6/1080 - y**5/180 + y**4/72 - 2*y**3 - 8. Let f(h) be the third derivative of g(h). Factor f(n).
(n - 1)**2/3
Let n be (-2)/3 - 52/(-6). Suppose 5*j - 4*u = -0 + 18, 2*j - n = 2*u. Suppose x**2 + 2*x + 5*x**j - 4*x**2 = 0. Calculate x.
-1, 0
Let w(t) = 2*t**2 - t + 1. Let c(y) = -25*y**2 + 40*y - 15. Let r(j) = -c(j) - 15*w(j). Factor r(o).
-5*o*(o + 5)
Suppose -2/13*s**3 - 24/13*s**2 + 24/13*s**4 - 8/13*s + 10/13*s**5 + 0 = 0. Calculate s.
-2, -1, -2/5, 0, 1
Let h(j) be the third derivative of j**8/1008 - j**6/360 + 2*j**2 - 6. Factor h(s).
s**3*(s - 1)*(s + 1)/3
Let d(q) be the third derivative of -q**7/70 + q**6/20 + 3*q**5/20 - q**4/2 - 2*q**3 + 66*q**2. Find r, given that d(r) = 0.
-1, 2
Let g(l) = -l + 9. Let j be g(0). Let w be (-3)/j - 20/(-6). Factor n**4 + n**4 + w*n**3 - 11*n**4.
-3*n**3*(3*n - 1)
Let l(q) = q**2 + 2*q - 14. Let r be l(-7). Let o be (1/r)/((-20)/(-70)). Determine b so that o*b**5 + 0 + 0*b + 0*b**3 + 2/3*b**2 - 1/2*b**4 = 0.
-1, 0, 2
Suppose 3 = 3*s + 5*r - 4, -5*s + r = -21. Let f be s + -3 - (-2 + -1). Solve -p**f + 14*p**2 - 5*p**4 - 8 - 2*p**3 + 3*p**5 - p**5 = 0 for p.
-1, 1, 2
Suppose -d + 12 = 3*d. Factor d*h**2 - 2*h + 3*h**3 - 3*h**2 - h**3.
2*h*(h - 1)*(h + 1)
Let b(a) = -4*a - 1. Let f be b(-1). Suppose 0 = -6*k + 3*k + 15. Let 3*s**3 - s - k*s**3 + f*s = 0. Calculate s.
-1, 0, 1
Factor 0 - 4/7*z - 12/7*z**2.
-4*z*(3*z + 1)/7
Let n(r) be the third derivative of r**8/2856 + 2*r**7/1785 - r**6/340 + 30*r**2. Suppose n(j) = 0. Calculate j.
-3, 0, 1
Let l(s) be the second derivative of -s**7/3360 + s**6/1440 - s**3/3 + 3*s. Let c(x) be the second derivative of l(x). Determine n, given that c(n) = 0.
0, 1
Let s(z) = -3 + 2 - z - 10*z**3 + 11*z**3. Let b = -2 + 3. Let p(h) = h**4 - 3*h**3 + 3*h + 4. Let q(y) = b*p(y) + 5*s(y). Factor q(j).
(j - 1)*(j + 1)**3
Let c(t) = -2*t - 7. Let w be c(-6). Fa