5 - s*n**5 = 0. What is n?
-1, 0, 1/3, 1
Find n such that 4*n**5 + 20*n - 17*n**3 - 28*n**5 - 90*n**4 - n**5 - 38*n**3 - 30*n**3 = 0.
-2, -1, 0, 2/5
Let k(f) be the second derivative of f**7/1512 + 7*f**6/2160 + f**4/2 + 32*f. Let c(w) be the third derivative of k(w). Factor c(g).
g*(5*g + 7)/3
Let y = -221 + 223. Let r(i) be the second derivative of 1/6*i**4 + 1/3*i**3 + 0 - 3*i - 1/10*i**5 - i**y. Factor r(h).
-2*(h - 1)**2*(h + 1)
Let u(x) be the third derivative of x**8/1260 - x**7/210 + x**6/135 - 13*x**3/3 + 21*x**2. Let a(q) be the first derivative of u(q). Factor a(c).
4*c**2*(c - 2)*(c - 1)/3
Let b(z) be the second derivative of -z**4/21 + 34*z**3/21 - 32*z**2/7 - 21*z - 1. Suppose b(l) = 0. What is l?
1, 16
Let z be ((-9)/(-4))/1 + 174/(-696). Solve 0 - 8*b**z - 5/2*b**4 - 17/2*b**3 - 2*b = 0.
-2, -1, -2/5, 0
Let x(s) be the second derivative of 4*s - 5/168*s**7 - 3/8*s**5 + 0*s**2 - 5/12*s**4 - 1/6*s**6 - 5/24*s**3 + 0. Factor x(n).
-5*n*(n + 1)**4/4
Let r(t) = -3*t**3 + 4*t**2 + 13*t - 6. Let x(v) = 7*v**3 - 9*v**2 - 30*v + 12. Let f(g) = 15*r(g) + 6*x(g). Factor f(b).
-3*(b - 3)*(b - 1)*(b + 2)
Let g be (-1)/2*(-2 - -5)/(-3). Let q(p) be the second derivative of 1/4*p**4 + 1/2*p**2 + 1/20*p**5 + 0 + g*p**3 + 6*p. Factor q(r).
(r + 1)**3
Let b(n) = 5*n**2 + 9*n + 12. Let z be b(-5). Let p be -9*((-5)/(420/z) - -1). Suppose p*r**2 - 6/7*r - 2/7*r**3 + 2/7 = 0. Calculate r.
1
Let k be (-2422)/692 - (-51)/14. Let -1/7*b**5 + 0*b + 0 + 1/7*b**3 - k*b**2 + 1/7*b**4 = 0. Calculate b.
-1, 0, 1
Let j(z) = -7*z - 14 + 12*z**2 - 5*z**2 + 32. Suppose -2*v + 11 = p, -2*v = 4*p - 19 + 5. Let s(q) = -4*q**2 + 3*q - 9. Let d(y) = v*s(y) + 3*j(y). Factor d(c).
(c - 3)**2
Suppose -5*g + 5 + 13 = 3*i, g - 3*i = 0. Suppose b**4 + 6*b**2 - 5*b - g*b**4 + 5*b - 4*b**3 = 0. Calculate b.
-3, 0, 1
Factor 6*i - 3*i**2 + 126 - 24*i + 15*i.
-3*(i - 6)*(i + 7)
Let f(g) be the first derivative of g**5/3 + 5*g**4/6 + 5*g**3/6 - 6*g**2 - 3. Let b(y) be the second derivative of f(y). Factor b(p).
5*(2*p + 1)**2
Let m(s) be the first derivative of s**4/6 + 2*s**3 + 8*s**2 + 32*s/3 + 176. Factor m(p).
2*(p + 1)*(p + 4)**2/3
Suppose -5*a - 13 + 58 = 0. Suppose y + 0 = -2*b - 6, 3*b = -4*y - a. Solve -1/6*f + 1/3*f**4 + 0*f**3 + y - 1/3*f**2 + 1/6*f**5 = 0.
-1, 0, 1
Let n(o) = -o**2 - 154*o + 1875. Let i(u) = 2*u**2 + 155*u - 1875. Let d(l) = 4*i(l) + 5*n(l). Factor d(j).
3*(j - 25)**2
Let j be 9/(-12) - (-372)/48. Let y(l) be the first derivative of -35/6*l**4 - 14/3*l**2 - j + 4/3*l + 5/3*l**5 + 23/3*l**3. Solve y(p) = 0.
2/5, 1
Let q(y) = -17*y**3 - 85*y**2 + 89 - 4 + 155*y**5 - 50*y**3 - 18*y**3. Let w(v) = 11*v**5 - 6*v**3 - 6*v**2 + 6. Let o(a) = -6*q(a) + 85*w(a). Factor o(x).
5*x**5
Suppose 3587 - 3632 = -15*g. Let b be (-26)/(-6) + 9/54. Solve -6*m**2 + b*m - 1 + 2*m**g = 0 for m.
1/2, 2
Let r(c) be the third derivative of 0*c - 5/16*c**4 - 1/240*c**6 - 3/4*c**3 + 0 - 7/120*c**5 - 16*c**2. Factor r(j).
-(j + 1)*(j + 3)**2/2
Let g(a) be the first derivative of 3/4*a**4 + 37 - 3/2*a**2 + 3*a - a**3. Suppose g(y) = 0. Calculate y.
-1, 1
Let m(i) be the second derivative of 2*i**6/15 + 4*i**5 + 33*i**4 - 40*i**3/3 - 200*i**2 - 673*i. Factor m(r).
4*(r - 1)*(r + 1)*(r + 10)**2
Let w(u) be the third derivative of u**6/180 + u**5/6 + 25*u**4/12 - 31*u**3/6 + 32*u**2. Let b(h) be the first derivative of w(h). Factor b(z).
2*(z + 5)**2
Let o(k) be the second derivative of -k**5/5 - 11*k**4/3 - 20*k**3/3 - k + 5. Find u, given that o(u) = 0.
-10, -1, 0
Let l(g) be the first derivative of 0*g + 0*g**3 + 1/420*g**6 + 1/42*g**4 - 5/2*g**2 + 1/70*g**5 - 3. Let b(t) be the second derivative of l(t). Factor b(a).
2*a*(a + 1)*(a + 2)/7
Let m(u) be the second derivative of 0 - 29/70*u**5 + 3/49*u**7 + 37*u + 1/21*u**4 + 20/21*u**3 - 8/7*u**2 + 2/35*u**6. Let m(j) = 0. Calculate j.
-2, -1, 2/3, 1
Factor 0*x + 0*x**2 + 7/3*x**4 - 2/3*x**3 - 5/3*x**5 + 0.
-x**3*(x - 1)*(5*x - 2)/3
Let w(c) be the first derivative of c**8/5040 + c**7/1260 - c**5/180 - c**4/72 + c**3 + 10. Let j(d) be the third derivative of w(d). Let j(p) = 0. What is p?
-1, 1
Let n be 5*1 + (-1)/(-1). Let v(m) = m + 28. Let w be v(-26). Factor u**4 + 0*u**4 + w*u**4 - n*u**4 + 6*u**3.
-3*u**3*(u - 2)
Suppose 0 = 2*c - h + 6*h - 75, -2*h + 39 = c. Factor 12*t**5 + 80*t**3 + 26*t**4 + 111*t**2 + c*t + 86*t**3 - 43*t**3 + 37*t**4 + 6.
3*(t + 1)**3*(t + 2)*(4*t + 1)
Solve 49*p**2 - 57*p**2 + 8*p**4 + 2*p**5 + 5*p**3 - 6*p**5 - p**3 = 0 for p.
-1, 0, 1, 2
Let v(c) be the third derivative of -c**5/270 + c**4/54 - c**3/27 - 70*c**2. Let v(t) = 0. Calculate t.
1
Let n(y) = 10*y**2 - 230*y + 2650. Let g(a) = -a**2 - 1. Let r(m) = -5*g(m) - n(m). Find i, given that r(i) = 0.
23
Let x = -3876 + 3878. What is a in 25/2*a**2 + x - 10*a = 0?
2/5
Let s(p) be the first derivative of -p**4/14 - 20*p**3/21 - 17*p**2/7 - 16*p/7 + 175. Factor s(u).
-2*(u + 1)**2*(u + 8)/7
Let v be 2/(-9)*(-29)/(928/72). What is f in 0*f**2 + 0*f**4 + 0 - 1/4*f**5 - 1/4*f + v*f**3 = 0?
-1, 0, 1
Let i(n) be the third derivative of 25/8*n**4 - 7*n**2 + 0*n + 0 + 1/120*n**6 + 1/4*n**5 + 125/6*n**3. Factor i(l).
(l + 5)**3
Let j be (-36)/(126/(-40) + 3). Suppose n = 4*n - j. Solve 1 - n*g**2 + 30*g**2 - 9 + 40*g = 0.
2/5
Suppose -4*f - 4*a - 644 = 0, 0*f - 2*f = a + 320. Let x = -794/5 - f. What is z in -1/5 + 1/5*z**2 + 1/5*z - x*z**3 = 0?
-1, 1
Find q, given that 0 + 18/5*q - 2/5*q**2 = 0.
0, 9
Let s(k) = 3*k**4 + 8*k**3 - 6*k**2 - 2*k - 2. Let r(i) = 2*i**4 + 8*i**3 - 7*i**2 - 3*i - 3. Let t(l) = -2*r(l) + 3*s(l). Solve t(b) = 0 for b.
-2, 0, 2/5
Let a(p) = -p**3 - 6*p**2 - 9*p - 2. Let v be a(-6). Let w = v - 155/3. Factor 0 - w*k - 1/3*k**2.
-k*(k + 1)/3
Suppose 4*w + 0*w = -x + 2, 5*x = 5*w + 10. Suppose 18 - x = 4*m. Let -4/9*c**3 - 8/9*c**5 + 0*c + 0 + 14/9*c**m - 2/9*c**2 = 0. What is c?
-1/4, 0, 1
Let s(l) be the second derivative of -l**7/14 - 16*l**6/5 + 207*l**5/20 + 8*l**4 - 34*l**3 - l + 49. Determine z so that s(z) = 0.
-34, -1, 0, 1, 2
Let p(q) be the second derivative of -16*q**6/105 - 4*q**5/35 + 13*q**4/14 - 17*q**3/21 + 2*q**2/7 + 43*q. Determine b so that p(b) = 0.
-2, 1/4, 1
Suppose -11*n + 8*n + 12 = 0. Factor 6*j**n + 7*j - 21*j - 6*j - j**4 + 15*j**3.
5*j*(j - 1)*(j + 2)**2
Let k(y) be the first derivative of y**6/45 + 2*y**5/75 - y**4/5 - 8*y**3/45 + 8*y**2/15 + 81. Determine c so that k(c) = 0.
-2, 0, 1, 2
Let a be 20/(-15)*6/(-4). Let f be (2 + -3)/(a/(-4)). Find t, given that t + 4*t**3 - 5*t - 2*t**f + 2*t**2 = 0.
-1, 0, 1
Let m = -37202 + 37222. Factor -m + 55*t - 35/2*t**3 + 115/2*t**2.
-5*(t - 4)*(t + 1)*(7*t - 2)/2
Let l(d) = d**2 - 44*d - 106. Let b(a) = 2*a**2 - 4*a + 1. Let n(j) = -2*b(j) + l(j). Factor n(m).
-3*(m + 6)**2
Find d such that -7913*d**3 - 45*d**2 - 3*d**5 - 2*d**5 + 45*d**4 + 7848*d**3 + 70*d = 0.
-1, 0, 1, 2, 7
Let s(y) be the third derivative of -y**6/480 + 17*y**5/240 - 47*y**2 + 1. Determine k so that s(k) = 0.
0, 17
Let r(u) be the third derivative of 1/20*u**4 + 0 - 1/100*u**6 + 1/350*u**7 + 0*u + 0*u**5 - 1/10*u**3 + 9*u**2. Factor r(h).
3*(h - 1)**3*(h + 1)/5
Let g(q) be the first derivative of -q**6/20 + 3*q**5/10 + 28*q - 22. Let l(w) be the first derivative of g(w). Let l(x) = 0. What is x?
0, 4
Solve 7*z**5 - 14*z**3 + 17*z + 2*z**2 - 14*z + 3 - 5 + 2*z**2 - 2*z**4 + 4*z = 0 for z.
-1, 2/7, 1
Suppose -2/9*j**3 - 86/9*j**2 - 28/3*j + 0 = 0. What is j?
-42, -1, 0
Let k(a) = -a - 3. Let g be k(-5). Suppose 26*r - 4 + 4 = 0. Let 2/7*d**4 + 2/7*d**5 - 2/7*d**3 + 0*d + r - 2/7*d**g = 0. What is d?
-1, 0, 1
Factor 843/2*q**2 + 29400 + 29820*q + 3/2*q**3.
3*(q + 1)*(q + 140)**2/2
Let f(l) be the first derivative of l**3/12 + 40. Factor f(m).
m**2/4
Let l(x) = 3*x**3 - 78*x**2 - 541*x - 888. Let g(s) = s**3 - 26*s**2 - 180*s - 297. Let m(f) = 8*g(f) - 3*l(f). Factor m(d).
-(d - 32)*(d + 3)**2
Let b(j) = 15*j**2 - 9*j. Let x = 9 - 7. Suppose 8*l - 6*l - 14 = 0. Let t(r) = -46*r**2 + 26*r - 1. Let u(w) = l*b(w) + x*t(w). Find a such that u(a) = 0.
-2/13, 1
Let k be 68/6*9/(-6). Let u = 19 + k. Solve 2*g**2 - g - 2*g**2 + u*g**2 - g**2 - 2 = 0.
-1, 2
Let f(q) be the second derivative of q**4/48 + 17*q**3/24 + 15*q**2/2 + 134*q - 2. Solve f(o) = 0 for o.
-12, -5
Let m(l) be the third derivative of 