 -1
Let h(u) be the first derivative of -u**4/30 + u**3/15 - 3*u + 2. Let d(c) be the first derivative of h(c). Factor d(a).
-2*a*(a - 1)/5
Determine l so that -3*l**3 - 2 - 4 + 7 + 9*l + 5 = 0.
-1, 2
Let c(w) be the first derivative of 0*w**4 + 3/5*w**5 - w**3 + 0*w**2 + 0*w + 4. Solve c(n) = 0.
-1, 0, 1
Let u(v) = -16*v**2 - 6*v + 10. Let x(b) = -3*b**2 - b + 2. Let s(p) = 4*u(p) - 22*x(p). Factor s(g).
2*(g - 2)*(g + 1)
Let i(u) be the third derivative of -u**6/60 - u**5/10 - u**4/4 - u**3/3 - 2*u**2. Factor i(z).
-2*(z + 1)**3
Let k(i) = -262*i**2 + 312*i - 90. Let s(y) be the second derivative of 35*y**4/4 - 125*y**3/6 + 18*y**2 - 3*y. Let f(h) = 5*k(h) + 12*s(h). Factor f(q).
-2*(5*q - 3)**2
Let n(m) = 8*m**2 - 6. Let j(g) = -22*g**2 + 17. Let f(q) = -6*j(q) - 17*n(q). Factor f(r).
-4*r**2
Let i(l) be the third derivative of l**7/1050 + l**6/150 + l**5/50 + l**4/30 - 2*l**3/3 - 11*l**2. Let s(q) be the first derivative of i(q). Solve s(m) = 0.
-1
Let h(o) = -5*o**2 + 6*o + 9. Let l(b) = b**2. Suppose -2*g = -7*g - 5. Let y be ((-4)/10)/(g/(-15)). Let w(j) = y*l(j) - h(j). Factor w(s).
-(s + 3)**2
Let w(v) be the second derivative of -v**4/42 + v**3/3 - 6*v**2/7 - 7*v + 3. What is h in w(h) = 0?
1, 6
Let k(o) = -27*o**2 - 144*o + 108. Let p(i) = 18*i**2 + 96*i - 72. Let m(t) = -5*k(t) - 8*p(t). Let m(c) = 0. What is c?
-6, 2/3
Let 0 - 16/15*k**4 - 8/3*k**3 - 2/15*k**5 + 0*k - 32/15*k**2 = 0. Calculate k.
-4, -2, 0
Let n(j) be the third derivative of j**5/24 - 13*j**4/12 + 5*j**3/3 + 7*j**2 - 1. Determine b, given that n(b) = 0.
2/5, 10
What is r in -7*r**5 + 84*r**2 - 32*r**4 + 19*r**5 + 28*r**3 - 92*r**2 = 0?
0, 2/3, 1
Let c(z) = -2*z**2 + 7*z + 3. Let k(p) = 6*p + 1 - p**2 - 3*p + 0*p**2. Let i(r) = -2*c(r) + 5*k(r). Let o(a) = a. Let x(f) = -2*i(f) - 2*o(f). Factor x(g).
2*(g - 1)**2
Let a(o) be the second derivative of -19/15*o**3 + 0 - 1/30*o**5 + 16/45*o**4 + 6/5*o**2 - 11*o. Let a(y) = 0. What is y?
2/5, 3
Let u(v) be the third derivative of -6*v**2 - 1/4*v**4 + 0 - 1/30*v**5 + 0*v - 2/3*v**3. Suppose u(r) = 0. What is r?
-2, -1
Let b = 17/33 + -2/11. Determine h so that 1/3*h + b*h**2 + 0 - 2/3*h**3 = 0.
-1/2, 0, 1
Let c(p) = p**3 - 23*p**2 + 3*p - 66. Let u be c(23). Let 0*d - 1/4*d**u + 0 - 1/4*d**2 = 0. What is d?
-1, 0
Let w(j) be the third derivative of j**10/226800 + j**5/20 + j**2. Let g(a) be the third derivative of w(a). Let g(o) = 0. What is o?
0
Let x = 2/37 + 134/259. Factor -2/7*d**2 - x*d**3 + 0*d + 0 - 2/7*d**4.
-2*d**2*(d + 1)**2/7
Let p(r) be the third derivative of 1/12*r**4 - 1/60*r**6 + 0*r - 1/105*r**7 + 1/30*r**5 - r**2 + 0 + 0*r**3. Factor p(t).
-2*t*(t - 1)*(t + 1)**2
Let n = 16 - 8. Suppose -5*s = -2 - n. Factor -3/4*d**3 - 1/2 - 1/2*d**s + 7/4*d.
-(d - 1)*(d + 2)*(3*d - 1)/4
Let k = -2 - -4. Suppose -k*l - 6 = 0, -5*l - 6 + 1 = 5*u. Factor 3*n**2 + 6*n + 3 - 7 - 5*n**u.
-2*(n - 2)*(n - 1)
Let u = 34 + -30. Suppose d = 2, -16 = -4*t - 2*d + u*d. Solve 0*v**2 + 0*v**4 + 0 - 4/3*v**3 + 2/3*v + 2/3*v**t = 0.
-1, 0, 1
Factor -8*m**2 - 6*m + 16*m**4 + 4*m**5 + 0*m - 14*m + 16*m**3 + 0*m**5 - 8.
4*(m - 1)*(m + 1)**3*(m + 2)
Let y be 12/(-1)*(-1)/3. Let w be 6/8 - 5/(-4). Solve -w*k - 5 - y + 24*k**2 + 7 = 0 for k.
-1/4, 1/3
Factor 4*z**4 + 2*z**4 + 3*z**2 - 4*z**4 - 5*z**4.
-3*z**2*(z - 1)*(z + 1)
Let n(s) be the first derivative of 2*s**3/9 - 2*s/3 - 5. Factor n(i).
2*(i - 1)*(i + 1)/3
Let t(h) = -9*h**3 + 4*h**2 + 5*h - 4. Let x(j) = 26*j**3 - 11*j**2 - 15*j + 11. Let o(z) = -11*t(z) - 4*x(z). Let o(l) = 0. What is l?
-1, 0, 1
Solve w**2 - 2*w**2 + 3 - 2 + 0*w**2 = 0.
-1, 1
Let n(t) be the third derivative of -t**8/80640 + t**7/10080 - t**6/2880 + t**5/30 - t**2. Let h(y) be the third derivative of n(y). Factor h(r).
-(r - 1)**2/4
Let g(v) = v + 7. Let q be g(-5). Factor -1/2*a**q + 0 - a.
-a*(a + 2)/2
Let o(k) = k**2 + 4. Let w = -6 + 12. Let f(y) = -2*y**2 - 4. Let q(t) = w*o(t) + 5*f(t). Find b such that q(b) = 0.
-1, 1
Suppose -5*d - 2 = 3. Let n(i) = -2*i + 1. Let r be n(d). Factor 0 - 2/9*j + 0*j**2 + 2/9*j**r.
2*j*(j - 1)*(j + 1)/9
Factor 25 - 11*s**3 - 84*s**3 - 25 + 35*s**4 - 40*s - 170*s**2.
5*s*(s - 4)*(s + 1)*(7*s + 2)
Let b(x) be the first derivative of x**6/39 - x**4/26 - 25. Let b(o) = 0. Calculate o.
-1, 0, 1
Let u be (-8 + 1)*(3 + -2). Let s = -5 - u. Factor -1/4 + 1/4*x**s + 0*x.
(x - 1)*(x + 1)/4
Let f(v) = v**3 + 5*v**2 + 3*v + 9. Let n(w) = -w + 1. Let s(h) = f(h) - 5*n(h). Find r, given that s(r) = 0.
-2, -1
Suppose -3*h + 64 = 2*v - 6*h, -4*v + 2*h + 112 = 0. Suppose 3*i = 5 + 7. Solve 2*s**2 - v*s - 24*s**2 + 0*s**2 - i = 0 for s.
-1, -2/11
Let i = -6/31 - -123/155. Suppose 3/5 - 6/5*z**2 - 6/5*z**3 + i*z**5 + 3/5*z + 3/5*z**4 = 0. Calculate z.
-1, 1
Factor -6/5*k**4 + 2/5 + 2/5*k**5 + 4/5*k**2 - 6/5*k + 4/5*k**3.
2*(k - 1)**4*(k + 1)/5
Let t(u) be the first derivative of u**6/6 + 3*u**5/5 - 4*u**3/3 + 38. Factor t(h).
h**2*(h - 1)*(h + 2)**2
Factor -14*p**4 - 12*p**4 + 2*p**5 + 32*p**4 + 4*p**3.
2*p**3*(p + 1)*(p + 2)
Let i = -3/13 - -28/65. Let b(y) be the first derivative of 1/10*y**4 + 0*y**3 + 4 + 0*y - i*y**2. Solve b(a) = 0 for a.
-1, 0, 1
Let y be (-2)/(-70)*25/15. Let z(t) be the first derivative of -4/21*t**3 + 0*t**4 - y*t**6 + 0*t + 1/7*t**2 + 4/35*t**5 - 1. Factor z(x).
-2*x*(x - 1)**3*(x + 1)/7
Let z(j) = -2*j**5 + 2*j**4 - 6*j**3 - 6*j**2 + 4*j + 4. Let q(f) = -5*f**5 + 4*f**4 - 13*f**3 - 13*f**2 + 9*f + 9. Let u(g) = -4*q(g) + 9*z(g). Solve u(m) = 0.
-1, 0, 1
Let c(i) = -5*i**4 - i**3 - 7*i**2 - i + 7. Let g(s) = 3*s**4 + s**3 + 4*s**2 - 4. Let l(a) = -4*c(a) - 7*g(a). Factor l(r).
-r*(r - 1)*(r + 2)**2
Let k(i) be the first derivative of 0*i**2 - 5 - 2/3*i**3 + 2/5*i**5 + 1/6*i**6 - 1/4*i**4 + 0*i. Find a, given that k(a) = 0.
-2, -1, 0, 1
Let c = 0 + 2. Determine k so that 0*k**2 - 6*k + 2*k**2 - c*k**2 + 2*k**3 + 4 = 0.
-2, 1
Find v such that -2*v**2 + 0 + 72/5*v**4 + 4/5*v - 42/5*v**3 = 0.
-1/3, 0, 1/4, 2/3
Let j(z) be the second derivative of -z**5/20 + z**4/2 - 5*z**3/6 - 13*z. Let j(i) = 0. Calculate i.
0, 1, 5
Let x be 2/3 + (-20)/12. Let c be -1 + 8*x/(-3). Factor -1/3 - c*f - 4/3*f**2.
-(f + 1)*(4*f + 1)/3
Let a = 12 - 10. Let p(m) be the second derivative of 0 + 1/6*m**4 + m**a + m - 2/3*m**3. Determine c so that p(c) = 0.
1
Let h = -3 + 6. Factor 0*x**2 + 2*x**2 - 2*x**h + 5*x**3 - x**3.
2*x**2*(x + 1)
Let c(r) be the second derivative of r**7/24 + 11*r**6/30 + 6*r**5/5 + 47*r**4/24 + 41*r**3/24 + 3*r**2/4 + 10*r. Suppose c(h) = 0. Calculate h.
-3, -1, -2/7
Let f(z) be the second derivative of z**7/357 - 4*z**6/255 + 3*z**5/170 + 2*z**4/51 - 4*z**3/51 + 39*z. Find v, given that f(v) = 0.
-1, 0, 1, 2
Let i(b) be the third derivative of b**6/60 - b**4/12 + 7*b**2. Factor i(c).
2*c*(c - 1)*(c + 1)
Let p(z) be the second derivative of -z**7/14 - z**6/5 + 3*z**5/5 + 2*z**4 + 11*z. Suppose p(t) = 0. What is t?
-2, 0, 2
Let c(x) be the first derivative of 4 + 0*x**2 + 3*x**4 + 36/5*x**5 + 9/2*x**6 + 0*x + 0*x**3. Factor c(s).
3*s**3*(3*s + 2)**2
Let m(o) be the second derivative of o**8/1680 - o**6/360 - o**3/2 + o. Let r(x) be the second derivative of m(x). Solve r(p) = 0.
-1, 0, 1
Let k(v) be the second derivative of -v**5/20 + v**4/20 + v**3/15 + 32*v. Factor k(l).
-l*(l - 1)*(5*l + 2)/5
Let a = 8 - 4. What is p in -p**4 + 4*p**a - p**3 + 6*p**3 - 2*p**3 = 0?
-1, 0
Let d(m) = 58 + m**2 - m + m - 59. Let o(q) = q**3 + 4*q**2 - 4. Let v(l) = 4*d(l) - o(l). Factor v(b).
-b**3
Let y(w) be the third derivative of -w**6/120 + w**5/15 - w**4/24 - 2*w**3/3 - w**2. Let z be y(3). Suppose -56*h**3 + 98*h**4 + 2 - z + 8*h**2 = 0. What is h?
0, 2/7
Suppose 38 = 4*t + 3*p, -t + 1 = -0*t + 5*p. Suppose 0 = t*y - 15*y. Solve -2/5*s**3 + y*s + 6/5*s**2 - 8/5 = 0.
-1, 2
Let z(w) = 3*w + 1. Let g be z(-5). Let p = -7 - g. Suppose -11*o**3 + 3*o**3 + 24*o**4 + 7*o**5 + p*o**5 = 0. What is o?
-2, 0, 2/7
Let a(o) = 4*o**3 + 8*o**2 - 3*o. Let f(n) = 20*n**3 + 40*n**2 - 14*n. Let d(q) = 14*a(q) - 3*f(q). Factor d(v).
-4*v**2*(v + 2)
Suppose -3*q - 49 = w, 2*q + 9 = 1. Let v = w - -149/4. Determine c, given that -1/4 + 0*c + v*c**2 = 0.
-1, 1
Let q = -209 - -209. Suppose -2/7*a**2 + q + 0*a + 4/7*a**3 - 2/7*a**4 = 0. What is a?
0, 1
Let c(o) = -o**3 - o**2. Let i(w) be the first de