**5 + 5*h**4/2 - 5*h**2 - 5*h - 13. Suppose m(g) = 0. Calculate g.
-1, 1
Let l be ((-4)/4*-10)/2. Let t(s) be the third derivative of 1/90*s**l - s**2 + 1/9*s**3 + 0 + 0*s - 1/18*s**4. Let t(j) = 0. Calculate j.
1
Let m(r) be the first derivative of -1/3*r**2 + 1/9*r**3 + 1/3*r + 3. Factor m(h).
(h - 1)**2/3
Let u(l) be the third derivative of -l**9/7560 + l**8/1680 - l**7/1260 + l**4/8 - 3*l**2. Let s(j) be the second derivative of u(j). Factor s(h).
-2*h**2*(h - 1)**2
Let h = -7 + 25. Let m be 4/h - (-4)/(-18). What is r in -1/3*r**5 + 0*r**4 + 0*r + 1/3*r**3 + 0*r**2 + m = 0?
-1, 0, 1
Let o(c) = -c**3 + 5*c**2. Let s be o(5). Let f(j) be the first derivative of -3/16*j**4 + s*j - 1 - 1/8*j**2 + 1/4*j**3 + 1/20*j**5. Let f(m) = 0. Calculate m.
0, 1
Suppose -2*l + 8 + 0 = 0. Let b(r) be the first derivative of 0*r + 1/5*r**5 + 0*r**2 + 1 + 0*r**3 + 0*r**l. Solve b(w) = 0 for w.
0
Let t(g) be the third derivative of g**8/112 + g**7/35 + g**6/40 + 5*g**2. Factor t(x).
3*x**3*(x + 1)**2
Let b = -34 - -38. Let i(j) be the second derivative of -1/45*j**6 + 0 + 3*j + 0*j**5 + 0*j**2 + 1/18*j**b - 1/18*j**3 + 1/126*j**7. Solve i(s) = 0 for s.
-1, 0, 1
Let t(l) = 4*l. Let o be t(1). Let z(w) be the second derivative of 2*w + 0 + 0*w**5 + 0*w**3 + 1/126*w**7 + 0*w**2 + 0*w**o + 1/90*w**6. Factor z(n).
n**4*(n + 1)/3
Let g be 4/(-3)*(-6)/4. Suppose 2*h - 13 = 3*x - 3, 0 = x + 2*h - 10. Determine c so that 1/5*c**g + x + 1/5*c - 1/5*c**4 - 1/5*c**3 = 0.
-1, 0, 1
Factor 2*v - v**3 - 2*v**3 - 2*v**3 - 7*v + 10*v**2.
-5*v*(v - 1)**2
Let p(l) = -l**4 - 19*l**3 + 19*l - 13. Let k = -9 - -13. Let a(b) = -b**4 - 10*b**3 + 10*b - 7. Let w(u) = k*p(u) - 7*a(u). Let w(s) = 0. What is s?
-1, 1
Let r = 11 + -2. Let t be (-3 + 30/r)*2. Suppose 2/3 - 4/3*n**2 + 1/3*n - 2/3*n**3 + t*n**4 + 1/3*n**5 = 0. Calculate n.
-2, -1, 1
Let b(u) be the second derivative of -u**3/6 + 6*u**2 + 3*u. Let g be b(8). Let -23/3*s**2 + 1/3*s + 7*s**g - 1/3*s**3 + 2/3 = 0. What is s?
-1, -2/7, 1/3, 1
Let d(u) be the second derivative of -5*u + 1/60*u**5 + 0*u**4 + 0 + 0*u**3 + 0*u**2 + 1/90*u**6. Factor d(o).
o**3*(o + 1)/3
What is v in 4*v**5 - 4*v + 8*v**2 + 0*v**5 + 0*v**2 - 8*v**4 = 0?
-1, 0, 1
Let l(x) be the third derivative of -x**9/60480 + x**8/6720 - x**7/1680 + x**6/720 + x**5/20 + x**2. Let h(m) be the third derivative of l(m). Factor h(r).
-(r - 1)**3
Solve 2/11*a**3 + 128/11 + 96/11*a - 30/11*a**2 = 0 for a.
-1, 8
Let f(r) = -35*r**2 + 145*r - 25. Let g(j) = -3*j**2 + 12*j - 2. Let t(c) = -2*f(c) + 25*g(c). Solve t(o) = 0 for o.
0, 2
Factor -3/7*p + 0 - 6/7*p**2 - 3/7*p**3.
-3*p*(p + 1)**2/7
Suppose 7*c = 9*c. Let u(k) be the second derivative of 0*k**3 - 1/40*k**5 + c*k**2 - 1/48*k**4 + 0 + 7/120*k**6 - 1/42*k**7 + 2*k. Factor u(q).
-q**2*(q - 1)**2*(4*q + 1)/4
Let x(t) = t**3 + t + 1. Let v(k) = -k**4 - 2*k**3 + k**2 - 2*k - 2. Let r(u) = 3*v(u) + 6*x(u). Factor r(m).
-3*m**2*(m - 1)*(m + 1)
Let m(r) = -r**5 - r**4 - r**2 + r + 1. Let l(w) = 8*w**5 - 17*w**4 + 25*w**3 - 7*w**2 - 3*w - 3. Let d(v) = -l(v) - 3*m(v). Suppose d(j) = 0. What is j?
0, 1, 2
Factor 0 + 1/4*q**3 + 1/4*q**5 + 0*q**2 + 1/2*q**4 + 0*q.
q**3*(q + 1)**2/4
Let m(a) = -3*a - 9. Let i be m(-4). Suppose i*f**2 - 11 - 5 - 11 - 18*f - 6*f**2 = 0. What is f?
-3
Let j(n) = n**4 - n**2 + n - 1. Suppose -3*w - 10 = -1. Let t(z) = 11*z**4 - 4*z**3 - 15*z**2 + 7*z + 1. Let o(h) = w*j(h) + t(h). Factor o(a).
4*(a - 1)**2*(a + 1)*(2*a + 1)
Let f(o) = o**3 - o + 3. Let a(d) = 2*d**3 + d**2 - 3*d + 7. Suppose -88 = -3*i - i. Let u = i - 36. Let k(h) = u*f(h) + 6*a(h). Factor k(s).
-2*s*(s - 2)*(s - 1)
Let g(o) be the third derivative of -o**9/2160 + o**8/2520 - 2*o**5/15 - 4*o**2. Let r(f) be the third derivative of g(f). Find c, given that r(c) = 0.
0, 2/7
Factor 1/4*m**3 + 0*m**4 + 0*m + 0 - 1/4*m**5 + 0*m**2.
-m**3*(m - 1)*(m + 1)/4
Let o = 316 - 314. Factor -1/4*k**o - 3/4 - k.
-(k + 1)*(k + 3)/4
Find m, given that 18/17 - 6/17*m - 10/17*m**2 - 2/17*m**3 = 0.
-3, 1
Let x(l) = 7*l**2 - 4*l - 5. Suppose -2*g = -3*g, -g + 6 = f. Let w(b) = 13*b**2 - 7*b - 9. Let c(i) = f*w(i) - 11*x(i). Factor c(t).
(t + 1)**2
Let k = 1969 - 3751/2. Solve k*x**3 - 6*x - 4 + 105/2*x**4 + 39*x**2 = 0.
-1, -2/3, -2/5, 2/7
Let l(g) be the first derivative of g**5/10 + 3*g**4/8 + g**3/2 + g**2/4 - 1. Determine b so that l(b) = 0.
-1, 0
Suppose -51 = -5*u + 4*z, 2*u - 4*z - 12 = 18. Let x be u/(-20) + (-3)/(-5). Solve -1/4*c**5 + 0*c + 1/4*c**4 + x*c**3 - 1/4*c**2 + 0 = 0.
-1, 0, 1
Let h(c) be the second derivative of c**4/21 + 4*c**3/21 - 8*c. Factor h(u).
4*u*(u + 2)/7
Suppose -7*c + 2 = -3*c - 2*s, c + 4*s = 14. Let b(v) be the second derivative of 1/42*v**4 + 0*v**2 + 0 - c*v + 1/21*v**3. Solve b(i) = 0.
-1, 0
Let q be -1 + -2 + 1/1. Let t be 18*(-1 + q)/(-15). Factor -4/5 - 22/5*r - t*r**2.
-2*(r + 1)*(9*r + 2)/5
Suppose 2*z = 5*x + 9, 0 = -2*x - 0*x + 6. Let n = z - 12. Let -g**4 - 1/2*g**2 - 9/4*g**3 + n*g + 0 = 0. What is g?
-2, -1/4, 0
Let o(s) be the third derivative of -s**5/40 + 5*s**4/48 - s**3/6 + 7*s**2. Suppose o(d) = 0. What is d?
2/3, 1
Let f = -37 - -37. Let m(b) be the second derivative of -b + 1/21*b**3 + 0*b**2 + f + 1/70*b**5 - 1/21*b**4. Factor m(p).
2*p*(p - 1)**2/7
Let k(o) be the first derivative of -3*o**4/4 - 7*o**3 - 9*o**2 + 49. Let k(w) = 0. Calculate w.
-6, -1, 0
Let 47*v + 0*v**2 - 2*v**4 - 49*v + 4*v**3 + 4*v**2 - 2*v**5 - 2 = 0. Calculate v.
-1, 1
Let o(z) = -z - 8. Let h be o(-12). Suppose -5*a - 1 = 2*p, 2*a = h*p - 2*p - 6. Factor 28*b**2 - 28*b**p - 2*b + 2*b**3.
2*b*(b - 1)*(b + 1)
Let q(p) = 5*p**2 - 35*p - 5. Let g(s) = -s**3 - 5*s**2 + 34*s + 4. Let i(x) = -5*g(x) - 4*q(x). Solve i(v) = 0.
-3, 0, 2
Suppose 5*a - 15 = 5*q, -3*a + 0*a + 8 = -2*q. What is u in 4*u**2 + 4*u**3 + a - u**3 + 6*u - 2*u**5 - 5*u**3 - 6*u**4 - 2*u**3 = 0?
-1, 1
Let k(s) be the first derivative of -2*s**5/55 + 5*s**4/11 - 6*s**3/11 - 6. Let k(t) = 0. What is t?
0, 1, 9
Suppose 0 = -3*u - 0*u + 9. Suppose 8*r - u*r - 10 = 0. Factor 0 + 0 - r*s + 2*s**3.
2*s*(s - 1)*(s + 1)
Let u(b) = -b. Let p(i) = -i**2 - i + 1. Let s(o) = -4*p(o) + 4*u(o). What is k in s(k) = 0?
-1, 1
Let o = 1/22 + 37/154. Let w(i) be the first derivative of -2/7*i**2 - 2 + 2/21*i**3 + o*i. Find q such that w(q) = 0.
1
Suppose 0*l + 4*l = 8. Let i(g) be the third derivative of 0*g**3 + 0*g + 1/84*g**4 + 0 + 1/210*g**5 + 2*g**l - 1/420*g**6 - 1/735*g**7. Factor i(y).
-2*y*(y - 1)*(y + 1)**2/7
Let t(m) be the second derivative of m**4/16 - 3*m**2/2 + 11*m. Find u such that t(u) = 0.
-2, 2
Let s(l) be the second derivative of l**5/16 - 5*l**4/16 + 5*l**3/12 - 34*l. Let s(v) = 0. What is v?
0, 1, 2
Let q(l) be the second derivative of 0*l**4 - 1/300*l**5 + l - 1/6*l**3 + 1/900*l**6 + 0*l**2 + 0. Let c(s) be the second derivative of q(s). Factor c(g).
2*g*(g - 1)/5
Let h(a) be the first derivative of a**5/20 - 5*a**4/16 + 3*a**3/4 - 7*a**2/8 + a/2 - 36. Factor h(v).
(v - 2)*(v - 1)**3/4
What is u in 1/6*u**3 + 0 - 1/3*u + 1/6*u**2 = 0?
-2, 0, 1
Suppose p + 5*o = -2*p + 26, 0 = 5*p + 5*o - 30. Suppose 0 = -p*w - 3*w + 5*l, -w + 5*l = 0. Factor 0 + w*c + 1/3*c**3 - 1/3*c**2.
c**2*(c - 1)/3
Let x(r) = -r**3 + 5*r**2 + 2*r + 2. Let f be x(5). Let m be -11 + 8 - f/(-2). Factor -2/7*t**m + 16/7 - 24/7*t + 12/7*t**2.
-2*(t - 2)**3/7
Let s(k) be the third derivative of -k**5/570 - k**4/228 + 7*k**2. Let s(a) = 0. Calculate a.
-1, 0
Let x = -4 + 10. Let m(g) = g**5 - 9*g**3 + 8*g - 7. Let l(r) = r**5 - 8*r**3 + 7*r - 6. Let y(v) = x*m(v) - 7*l(v). Suppose y(d) = 0. What is d?
-1, 0, 1
Let 0 - 1/3*c + 5/3*c**2 = 0. Calculate c.
0, 1/5
Let j(h) = -12*h**4 - 22*h**3 - 6*h**2 + 2*h - 2. Let c(f) = -23*f**4 - 43*f**3 - 12*f**2 + 3*f - 5. Let p(l) = 2*c(l) - 5*j(l). Factor p(d).
2*d*(d + 1)**2*(7*d - 2)
Let w(b) be the third derivative of 0*b - 1/150*b**5 + 1/600*b**6 + 0*b**3 + 3*b**2 + 0*b**4 + 0. Solve w(o) = 0 for o.
0, 2
Suppose -3*r - 8 = d, -3*d + 2*r + 16 = r. Suppose -10 = -d*f + 10. Factor 2/3*t**2 + 0*t + 1/3*t**f + 5/3*t**3 + 0 + 4/3*t**4.
t**2*(t + 1)**2*(t + 2)/3
Let k(a) be the second derivative of a**6/2 + 21*a**5/20 + a**4/2 - 8*a. Factor k(m).
3*m**2*(m + 1)*(5*m + 2)
Let p(x) be the third derivative of x**11/332640 - x**9/60480 - x**5/12 + 7*x**2. Let