- w + 3. Let y(v) = -6*h(v) + 2*r(v). Solve y(k) = 0.
0, 1/5, 2/3, 1
Solve 12/5 - 12/5*n + 3/5*n**2 = 0.
2
Let y be 2/6*(-9)/(-4). Suppose 0 - y*u**3 + 3/4*u + 3/4*u**2 - 3/4*u**4 = 0. Calculate u.
-1, 0, 1
Let s = 14 - 9. Let o(q) be the third derivative of 1/10*q**s - 1/60*q**6 - 2*q**2 + 1/3*q**3 - 1/4*q**4 + 0*q + 0. Factor o(h).
-2*(h - 1)**3
Let g(v) be the second derivative of -4*v - 1/273*v**7 - 1/130*v**5 + 0 + 0*v**4 - 2/195*v**6 + 0*v**2 + 0*v**3. Factor g(r).
-2*r**3*(r + 1)**2/13
Let g(l) be the second derivative of l**6/90 - l**5/60 + 7*l. Factor g(r).
r**3*(r - 1)/3
Solve 4/5*v**2 - 2/15*v**4 + 0*v**3 - 16/15*v + 2/5 = 0 for v.
-3, 1
Let n(j) = j**3 - 5*j**2 - 4*j - 7. Let m be n(6). Let 6/7*f**3 - 3/7*f + 0*f**2 + 0*f**4 + 0 - 3/7*f**m = 0. Calculate f.
-1, 0, 1
Suppose -2*s + 8 = 3*v - 5*v, v + 4 = 4*s. Let k(r) be the first derivative of 0*r + s*r**2 + 1/6*r**3 + 1. Let k(b) = 0. What is b?
0
Let t(s) be the third derivative of s**8/1680 - 2*s**7/525 + s**6/120 - s**5/150 + 16*s**2. Factor t(y).
y**2*(y - 2)*(y - 1)**2/5
Let u(c) be the third derivative of 0*c + 2*c**2 + 1/24*c**6 - 1/3*c**3 + 0 - 3/40*c**5 - 1/4*c**4. Let o(d) be the first derivative of u(d). Factor o(k).
3*(k - 1)*(5*k + 2)
Let b(n) be the second derivative of n**4/8 - n**3/2 + 3*n**2/4 + 2*n. Factor b(v).
3*(v - 1)**2/2
Factor -26/11*y**2 - 18/11 - 48/11*y - 4/11*y**3.
-2*(y + 3)**2*(2*y + 1)/11
Let h be 69/(-69)*2/(-3). Factor h*l**5 + 0*l**4 - 2*l**3 + 0*l + 0 - 4/3*l**2.
2*l**2*(l - 2)*(l + 1)**2/3
Let i be ((-10)/(-6) - (0 + 2))*-6. Suppose 2*h**i - 5/3*h - 1/3 - 32/3*h**4 + 32/3*h**3 = 0. Calculate h.
-1/4, 1/2, 1
Let k(j) be the second derivative of -j**7/2520 - j**6/720 - j**4/6 - 2*j. Let h(b) be the third derivative of k(b). Factor h(n).
-n*(n + 1)
Let o(a) be the third derivative of 2*a**7/105 + a**6/30 - 2*a**5/15 - 9*a**2. Factor o(y).
4*y**2*(y - 1)*(y + 2)
Let h(y) be the third derivative of 0 + 0*y + 0*y**3 + 6*y**2 + 1/60*y**4 - 1/600*y**6 - 1/300*y**5. Factor h(q).
-q*(q - 1)*(q + 2)/5
Let k(f) be the second derivative of 2*f**6/15 - 2*f**5/5 + 4*f**3/3 - 2*f**2 + 29*f. Let k(b) = 0. Calculate b.
-1, 1
Let j(f) be the second derivative of f**7/168 - f**6/60 + f**4/24 - f**3/24 - 16*f. Factor j(z).
z*(z - 1)**3*(z + 1)/4
Let a be (-45)/(-20) + -3 - 6/(-8). Let -8/7*m**4 + a*m**2 + 6/7*m**5 + 0*m + 0 + 2/7*m**3 = 0. Calculate m.
0, 1/3, 1
Let t be 62/(-12) + (-6)/9. Let x = t - -37/6. Let -1/3 + 2/3*o - x*o**2 = 0. Calculate o.
1
Let b(a) be the third derivative of -5*a**8/336 + a**7/21 + 7*a**6/12 + 2*a**5/3 - 65*a**4/24 - 25*a**3/3 + 46*a**2 + 1. Find w such that b(w) = 0.
-2, -1, 1, 5
Let t(b) = -8*b**2 - b + 5. Let f(d) = -15*d**2 - d + 9. Let g(n) = -4*f(n) + 7*t(n). What is j in g(j) = 0?
-1/4, 1
Let g(j) be the third derivative of -j**7/840 - j**6/80 - 13*j**5/240 - j**4/8 - j**3/6 - 7*j**2. Let g(q) = 0. Calculate q.
-2, -1
Let c(q) be the first derivative of 0*q**3 + 0*q**2 + 9 + 3/20*q**5 - 3/16*q**4 + 0*q. Factor c(k).
3*k**3*(k - 1)/4
Let n(d) be the second derivative of -3*d**5/40 + 3*d**3/4 + 3*d**2/2 + 6*d. Determine l so that n(l) = 0.
-1, 2
Let y(k) be the third derivative of 0*k**3 - 1/30*k**5 + 0*k + 3*k**2 + 0 + 0*k**4. Let y(s) = 0. Calculate s.
0
Let k(x) be the first derivative of 4*x**3/21 + 32*x**2/7 + 256*x/7 + 20. Factor k(d).
4*(d + 8)**2/7
Let t(u) be the third derivative of -u**7/21 - u**6/24 + u**5/6 + 5*u**4/24 - 2*u**2. Find h such that t(h) = 0.
-1, -1/2, 0, 1
Determine u, given that 12*u**3 - 5 - 3 - 12*u + 3 - 3 + 4*u**2 + 4*u**4 = 0.
-2, -1, 1
Let s(o) be the third derivative of 25*o**8/224 - 3*o**7/28 - 9*o**6/80 - o**5/40 + 5*o**2. Solve s(j) = 0 for j.
-1/5, 0, 1
Let a(k) be the second derivative of k**5/35 - k**4/21 - 10*k**3/21 - 6*k**2/7 + 14*k. Find u such that a(u) = 0.
-1, 3
Find k, given that 12/5*k - 2/5*k**2 - 2 = 0.
1, 5
Suppose 3*n + 5*t = 31, 2*n + 3*t - 13 = 6. Solve 0*r + n*r - 2*r**2 + 0*r = 0 for r.
0, 1
Let -4*p**4 - 60/7*p**3 + 0 - 36/7*p**2 + 0*p - 4/7*p**5 = 0. What is p?
-3, -1, 0
Let c(n) be the second derivative of -1/28*n**7 + 1/4*n**4 + 3/20*n**5 - 1/20*n**6 + 0 + n - 3/4*n**2 - 1/4*n**3. Factor c(t).
-3*(t - 1)**2*(t + 1)**3/2
Let s(r) be the third derivative of r**7/10080 - r**6/2880 - r**5/240 - r**4/6 + 3*r**2. Let b(m) be the second derivative of s(m). Solve b(a) = 0.
-1, 2
Suppose -2*l = 3*o - l - 31, o - l = 13. Let m = 11 - o. Factor 0*f + 1/4*f**2 + m.
f**2/4
Let z = -2/13 - -40/91. Let y = 17 + -117/7. Suppose -z*h**2 + 0 - y*h = 0. Calculate h.
-1, 0
Let w = 125 - 120. Let h(v) be the third derivative of 0 + 1/20*v**w + 0*v + 1/24*v**4 + 0*v**3 + 4*v**2 + 1/60*v**6. Factor h(q).
q*(q + 1)*(2*q + 1)
Let z(p) be the third derivative of -p**6/24 + p**5 - 10*p**4 + 160*p**3/3 - 25*p**2. Solve z(x) = 0 for x.
4
Factor -77*i**2 + 4*i - 6*i + 4*i + 2*i**3 + 73*i**2.
2*i*(i - 1)**2
Let y = -48 + 33. Let x be 4/(-3 + (-63)/y). Determine u so that 4/3*u + 0 - 2*u**2 - x*u**3 = 0.
-1, 0, 2/5
Suppose 16 = 2*v + 3*a, -12 = -4*v - 0*a + 4*a. Suppose -k = y + 3, 4*k + 4*y = v*y + 13. Factor 2*p**3 + 2/3*p**4 + 2/3*p + 0 + k*p**2.
2*p*(p + 1)**3/3
Factor 144 - 146/3*b**3 + 216*b - 2/3*b**5 + 12*b**2 + 32/3*b**4.
-2*(b - 6)**3*(b + 1)**2/3
Let v(b) be the second derivative of b**4/4 - 2*b. Factor v(o).
3*o**2
Let s = 16 + -22. Let v be 84/99 + s/33. Let -v*n**4 + 2/3*n**2 + 4/3*n + 0 - 4/3*n**3 = 0. What is n?
-2, -1, 0, 1
Let j(g) be the third derivative of -g**5/30 - 5*g**4/12 - 4*g**3/3 - 2*g**2 - 2*g. Find k, given that j(k) = 0.
-4, -1
Let u = -731/1050 + 18/25. Let t(x) be the second derivative of -x + 0*x**2 - u*x**4 + 0 + 1/21*x**3. Factor t(w).
-2*w*(w - 1)/7
Let f = -4 + 6. Let b be (-5)/(-3) - f/(-6). Let -9 - 2*p**3 + 2*p**b + 9 = 0. Calculate p.
0, 1
Let r(c) be the second derivative of 1/20*c**6 + 1/24*c**4 + 0*c**2 - 1/84*c**7 + 0*c**3 - 3/40*c**5 - 2*c + 0. Solve r(i) = 0.
0, 1
Let k(q) be the third derivative of -1/480*q**6 - 1/80*q**5 - 1/48*q**4 + 2*q**2 + 0 + 0*q + 0*q**3. Solve k(u) = 0.
-2, -1, 0
Let u(r) = r**3 - r - 1. Suppose 4*h = -5*b - 4, 5*h + 29 = 5*b - 21. Let m(s) = -5*s + 7*s**3 - 6 - 2*s**2 + 0 + 0*s**2. Let f(c) = h*u(c) + m(c). Factor f(l).
l*(l - 1)**2
Let d(v) be the first derivative of -63*v**4/4 + 47*v**3/5 + 12*v**2/5 - 12*v/5 + 1. Solve d(g) = 0.
-2/7, 1/3, 2/5
Let i(t) be the second derivative of t**6/5 - 4*t**5/5 + 7*t**4/6 - 2*t**3/3 - 2*t. Factor i(y).
2*y*(y - 1)**2*(3*y - 2)
Let k(p) be the second derivative of -p**6/360 + p**5/60 + 7*p**3/6 - 5*p. Let z(o) be the second derivative of k(o). Solve z(j) = 0 for j.
0, 2
Let c(h) = -h**2 + 1. Let a(b) = -b**2 + 2*b**5 + 12 - 7*b**2 - 4 - 7*b**4 + 3*b**4. Let z(k) = -a(k) + 8*c(k). Solve z(f) = 0.
0, 2
Let i = 73/2 + -36. Determine p, given that -i*p**4 + 0*p + 0 - 1/6*p**2 - 1/6*p**5 - 1/2*p**3 = 0.
-1, 0
Let b(d) be the third derivative of d**7/315 - d**6/180 - d**5/90 + d**4/36 - 20*d**2. Factor b(l).
2*l*(l - 1)**2*(l + 1)/3
Suppose 2/9*y**4 - 1/9*y**5 + 0 + 0*y**2 + 0*y**3 + 0*y = 0. Calculate y.
0, 2
Suppose t + 2*u + 6 = 0, -4*u - 12 = -0. Factor t - 1/2*l**4 - 1/2*l**5 + 0*l + 1/2*l**3 + 1/2*l**2.
-l**2*(l - 1)*(l + 1)**2/2
Suppose 5*j + 21 = -5*i + 6, -j - 3*i = 13. Suppose -j + f + 2 - 2*f**2 + 2*f**4 - f**5 = 0. What is f?
-1, 0, 1
Let m(v) be the second derivative of -v**9/15120 + v**7/4200 - v**3/6 - 3*v. Let b(l) be the second derivative of m(l). Find w such that b(w) = 0.
-1, 0, 1
Suppose -9 = -5*r + 11. Factor 2*x**2 - r*x**2 - x + x**3 + 2*x**2.
x*(x - 1)*(x + 1)
Let j be -5 + (-46)/(-8) - 0. Suppose -5*o = -4*y - 26, -y + 5*y = 2*o - 20. Factor 0 + 0*l - j*l**o - 3/4*l**3.
-3*l**2*(l + 1)/4
Let y(q) be the second derivative of -q**5/300 - q**4/120 - q**2 - 3*q. Let t(n) be the first derivative of y(n). Factor t(j).
-j*(j + 1)/5
Let f(x) be the second derivative of -x**4/18 + x**3/9 + 2*x**2/3 + 12*x. Factor f(a).
-2*(a - 2)*(a + 1)/3
Let m(i) be the first derivative of -2*i**6/3 - 8*i**5/5 + 8*i**3/3 + 2*i**2 - 4. Factor m(r).
-4*r*(r - 1)*(r + 1)**3
Let b(x) be the third derivative of 1/735*x**7 - 1/105*x**5 + 1/21*x**3 + 1/210*x**6 + 0*x - 1/1176*x**8 + 0 - 3*x**2 - 1/84*x**4. Factor b(n).
-2*(n - 1)**3*(n + 1)**2/7
Let x(v) = v**3 + 9*v**3 + 3 + 5*v + 7*v - 37*v**2.