/4*m**3 + 0 = 0.
-1, 0, 1
Let 11*s - 129*s**4 + 6*s**3 - 14*s**2 - 6 + 3 + 130*s**4 - s**5 = 0. Calculate s.
-3, 1
Let f(z) be the third derivative of 0*z**5 + 1/120*z**4 + 0 - 1/600*z**6 + 2*z**2 + 0*z + 0*z**3. Let f(q) = 0. Calculate q.
-1, 0, 1
Let a(n) be the third derivative of n**10/151200 - n**9/30240 + n**5/30 + 2*n**2. Let o(b) be the third derivative of a(b). Factor o(h).
h**3*(h - 2)
Suppose -38 + 38 - 14*r**2 - 8*r**3 + 6*r**2 - 2*r**4 = 0. What is r?
-2, 0
Let l(p) be the third derivative of p**7/840 + p**6/144 + p**5/60 - p**4/24 + 3*p**2. Let m(a) be the second derivative of l(a). Find n such that m(n) = 0.
-1, -2/3
Suppose -5*v - j + 9 + 0 = 0, 5*v = j + 11. Factor 1/4*w**3 + 0*w**v - 1/4*w**4 + 0*w + 0.
-w**3*(w - 1)/4
Suppose -4*g + 11*g = 28. Factor -6/5*h**3 + 0 + 6/5*h**2 - 2/5*h + 2/5*h**g.
2*h*(h - 1)**3/5
Let v(t) be the third derivative of -t**7/1470 - t**6/210 - t**5/84 - t**4/84 - 34*t**2. Find b such that v(b) = 0.
-2, -1, 0
Let q = 68 + -64. Let l(c) be the first derivative of -17/5*c**5 + q*c**2 - c + 7*c**4 - 1 + 2/3*c**6 - 22/3*c**3. Factor l(n).
(n - 1)**4*(4*n - 1)
Let x(u) = u**3 - 3*u**2 + 2*u - 1. Let r be x(3). Suppose -3*a = -r*g - 37, -6*a + 3*a + 25 = g. Determine l so that 2*l**2 + 7 + a*l + l**2 - 1 + 0 = 0.
-2, -1
Let c be 3/(-2)*9/(-162). Let k(y) be the second derivative of c*y**4 - 3/20*y**5 - y + 0*y**2 + 1/10*y**6 - 1/42*y**7 + 0*y**3 + 0. Factor k(j).
-j**2*(j - 1)**3
Let q = 39 - 37. Let c(w) be the third derivative of 0*w - 1/72*w**4 - w**q + 0 + 1/9*w**3 - 1/180*w**5. Determine p so that c(p) = 0.
-2, 1
Factor -104*s**3 + 210*s + 108*s**2 - 113*s - 113*s - 16 + 28*s**4.
4*(s - 2)*(s - 1)**2*(7*s + 2)
Suppose -2*k + 7 = -2*q - 1, -14 = 5*q - 3*k. Let b be q/4 + (-225)/(-260). Suppose -8/13*f + 2/13*f**2 + b = 0. What is f?
2
Let s(r) be the first derivative of -r**7/630 + r**6/90 - r**5/45 - 3*r**2/2 - 2. Let h(z) be the second derivative of s(z). Solve h(l) = 0.
0, 2
Let h(d) be the third derivative of 5*d**9/1512 + d**8/420 + d**3/3 + 2*d**2. Let m(f) be the first derivative of h(f). Factor m(w).
2*w**4*(5*w + 2)
Find k such that 0*k**2 + 0*k**3 + 2*k**3 + 141*k - 135*k - 18 + 10*k**2 = 0.
-3, 1
Suppose -22 = 2*q - 118. Let s = 193/4 - q. Find a, given that 0 - 1/4*a**2 - 1/4*a + 1/4*a**4 + s*a**3 = 0.
-1, 0, 1
Let s(i) be the first derivative of 0*i + 0*i**2 - 2/5*i**5 + 0*i**4 + 0*i**3 - 3. Factor s(n).
-2*n**4
Let x(h) be the first derivative of 0*h**5 - 1/1260*h**7 + 0*h**6 - 1 + 0*h**4 + 0*h + 0*h**2 + 2/3*h**3. Let m(v) be the third derivative of x(v). Factor m(z).
-2*z**3/3
Solve -6 + 80*j**4 + 40*j**4 + 45*j - 9*j**3 - 93*j**2 + 15*j**4 = 0 for j.
-1, 1/3, 2/5
Let o(g) be the first derivative of -g**5/240 + g**4/96 + g**2 + 2. Let k(h) be the second derivative of o(h). Factor k(v).
-v*(v - 1)/4
Let l(j) be the third derivative of j**6/180 + j**5/10 + 3*j**4/4 + 5*j**3/6 + 2*j**2. Let f(a) be the first derivative of l(a). Factor f(d).
2*(d + 3)**2
Let 1/2*c + 1/4 + 1/4*c**2 = 0. What is c?
-1
Factor 0 - 4/3*a**2 - 4/3*a + 4/3*a**4 + 4/3*a**3.
4*a*(a - 1)*(a + 1)**2/3
Let y = -14 - -8. Let z be y*(-1 - 3/(-6)). Factor 2*b**3 + 4*b**z - 4*b**3 - 4*b**2 + 2*b.
2*b*(b - 1)**2
Let j(a) be the second derivative of -1/9*a**3 + 0*a**2 + 0 + 3*a + 7/12*a**5 + 1/12*a**4 - 2/5*a**6. Determine n, given that j(n) = 0.
-1/4, 0, 2/9, 1
Determine i, given that 5/6*i**4 + 2/3 - 1/3*i**3 - 2/3*i - 5/2*i**2 = 0.
-1, 2/5, 2
Let f(c) be the third derivative of 0 + 0*c + 1/525*c**7 + 1/150*c**5 - 1/150*c**6 + 0*c**3 + 0*c**4 + c**2. Factor f(h).
2*h**2*(h - 1)**2/5
Suppose -15*p = -100 + 40. Determine r so that 38/7*r + 6/7 + 12*r**2 + 72/7*r**3 + 16/7*r**p = 0.
-3, -1/2
Let t(y) be the second derivative of -1/6*y**4 + 0*y**3 - y - 1/4*y**5 + 0 + 0*y**2. Determine c so that t(c) = 0.
-2/5, 0
Let a(u) = 7*u**3 + 2*u - 2. Let s(k) = k**2 + k - 1. Let d(l) = -a(l) + 2*s(l). What is j in d(j) = 0?
0, 2/7
Let 59*u**4 + 10*u**3 - 64*u**4 + 5*u**2 - 8*u**5 - 2*u**5 = 0. Calculate u.
-1, -1/2, 0, 1
Let k(u) = 3*u**2 - 5*u**3 - 3*u**2 - u - 2*u - 8. Let x(t) = t**3 + t + 2. Let q(a) = 2*k(a) + 9*x(a). Factor q(h).
-(h - 2)*(h + 1)**2
Determine h, given that 7/2*h**4 + h**2 + 9/2*h**3 + 0 + 0*h = 0.
-1, -2/7, 0
Let m(j) be the third derivative of -j**7/945 - j**6/108 - j**5/30 - 7*j**4/108 - 2*j**3/27 + 3*j**2. Factor m(a).
-2*(a + 1)**3*(a + 2)/9
Let s = 6 + -4. Factor -2/5 - 4/5*r - 2/5*r**s.
-2*(r + 1)**2/5
Let y = 13 + -11. Factor 2 - 2*i**y - 8*i + 4*i**2 + 6.
2*(i - 2)**2
Let h(f) be the first derivative of -f**5/20 + 3*f**4/16 - f**2/2 + 29. What is g in h(g) = 0?
-1, 0, 2
Let b = 0 - -2. Suppose 5*i - 12 + 2 = 0. Factor 2*g**4 + 3*g**i - 2*g**2 - g**4 + b*g**3.
g**2*(g + 1)**2
Let d(u) be the second derivative of -u**7/84 - u**6/36 - u**5/120 + u**4/72 - 6*u. Determine o so that d(o) = 0.
-1, 0, 1/3
Suppose 4*z + t = 6*t - 10, 3*z + 2*t = -19. Let g(p) = -6*p**3 - 4*p**2 - 3*p + 5. Let h(i) = i - 1. Let n(w) = z*h(w) - g(w). Factor n(s).
2*s*(s + 1)*(3*s - 1)
Let h be 372/30 + 4/(-10). Solve -v**2 + 3*v**2 - 12 - 5*v**2 - h*v = 0 for v.
-2
Suppose 0 = -4*z + 11 - 71. Let p be z/70*(-8)/6. Let 18/7*h - 48/7*h**2 + 32/7*h**3 - p = 0. Calculate h.
1/4, 1
Suppose 2*p = -p + 42. Factor -1 + 3*h**4 + p*h**3 + 24*h**2 + 1 + 12*h + h**3.
3*h*(h + 1)*(h + 2)**2
Let h(z) = -8*z**2 - 5*z + 10. Let x(l) = 65*l**2 + 40*l - 80. Let r(v) = 25*h(v) + 3*x(v). Factor r(a).
-5*(a - 1)*(a + 2)
Suppose 0 = -5*i + i + 8. Let r(v) be the second derivative of -2*v + 0 - 1/40*v**5 + 0*v**i + 0*v**3 + 0*v**4 + 1/60*v**6. Determine y, given that r(y) = 0.
0, 1
Let j(c) = c**3 + 2*c**2 - 9*c - 2. Let m be j(-4). Let k(y) be the third derivative of 1/30*y**5 + 0*y + 1/3*y**3 - m*y**2 + 0 - 1/6*y**4. Factor k(l).
2*(l - 1)**2
Let y(j) = -2*j**3 - 6*j**2 + 3*j + 2. Let i(n) = -3*n**3 - 11*n**2 + 6*n + 3. Let o = 12 - 7. Let l(u) = o*y(u) - 3*i(u). Factor l(r).
-(r - 1)**3
Suppose -i - n = 43 - 49, 2*i + 6 = 4*n. What is c in -2/7*c**4 - 4/7*c**i + 0 - 2/7*c**2 + 0*c = 0?
-1, 0
Let x(c) be the second derivative of c**7/21 - 2*c**6/15 + c**5/10 - 21*c. Factor x(j).
2*j**3*(j - 1)**2
Let w = 57/2 - 28. Let h be 1 - 0 - 2/(-1). Factor -w*z**h + 1/2*z**2 + 0 + 0*z.
-z**2*(z - 1)/2
Suppose -4 = -5*k + 6. Let h be (-2)/(-3)*30/4. Factor -2 - h*d**3 + 0*d + 3*d**3 + k*d**2 + 2*d.
-2*(d - 1)**2*(d + 1)
Let t(x) be the first derivative of 2/9*x**3 + 1/3*x - 1/24*x**4 + 10 - 5/12*x**2. Factor t(j).
-(j - 2)*(j - 1)**2/6
Let h(m) = m**2 - 1. Let b(z) = -4*z**2 - z + 4. Let g(p) = -b(p) - 3*h(p). Let f(r) = -28*r**3 + 5*r**2 - 3*r + 3. Let c(o) = f(o) + 3*g(o). Factor c(k).
-4*k**2*(7*k - 2)
Let n(f) be the third derivative of -f**6/24 + f**5/12 - 22*f**2. Factor n(q).
-5*q**2*(q - 1)
Find l, given that 1/3*l**2 - 1/3*l - 2/3 = 0.
-1, 2
Let w(v) be the second derivative of -v**7/18 - v**6/45 + 7*v**5/60 + v**4/18 + 4*v. Find d such that w(d) = 0.
-1, -2/7, 0, 1
Let q(p) = -5*p**3 - 10*p**2 + 15*p. Let o(n) = 70*n**3 + 140*n**2 - 210*n. Let h(f) = 6*o(f) + 85*q(f). Factor h(d).
-5*d*(d - 1)*(d + 3)
Determine x, given that -2/5*x**4 + 6/5*x**5 + 2/5*x**2 - 2*x**3 + 0 + 4/5*x = 0.
-1, -2/3, 0, 1
Let n(i) be the third derivative of 9*i**2 - 1/60*i**4 + 1/150*i**5 - 2/15*i**3 + 0 + 0*i. Suppose n(y) = 0. What is y?
-1, 2
Let d(p) be the third derivative of -2*p**7/105 + 4*p**2. Let d(m) = 0. Calculate m.
0
Let n(d) = 2*d - 10. Let o be ((-4)/8)/((-3)/30). Let r be n(o). Factor -9/5*c**2 - 2/5*c - c**4 - 12/5*c**3 + r.
-c*(c + 1)**2*(5*c + 2)/5
Let t(h) be the third derivative of h**5/330 - h**4/66 + 4*h**2. Find r, given that t(r) = 0.
0, 2
Let u(v) = 2*v**3 - 16*v**2 - 20*v + 18. Let j be u(9). Suppose 3/8*h + j*h**4 + 0 - 3/4*h**3 + 3/8*h**5 + 0*h**2 = 0. What is h?
-1, 0, 1
Let r(z) be the second derivative of z**5/100 + z**4/60 + 13*z. Factor r(m).
m**2*(m + 1)/5
Let d be (3/2)/((-7)/(-14)). Suppose 0 = -j + d - 4, 2*s + 5*j = -5. Factor -1/4*u**4 + s - 1/4*u**5 + 1/4*u**2 + 1/4*u**3 + 0*u.
-u**2*(u - 1)*(u + 1)**2/4
Let y(q) be the second derivative of -q**7/1680 + q**3/2 + q. Let o(x) be the second derivative of y(x). What is s in o(s) = 0?
0
Suppose 0 = -6*b + b + 20. Let z be 96/286 + b/(-26). Determine y so that -2/11 - 2/11*y + 4/11*y**3 +