**3 + 0 - 8*k**2 = 0.
0, 2/5, 2
Let f(v) be the second derivative of -v**5/30 + v**4/18 + 45*v. Factor f(s).
-2*s**2*(s - 1)/3
Factor 0*z**3 - 2*z**2 + 3 + 2*z**3 - 3.
2*z**2*(z - 1)
Suppose 0 = -29*o + 26*o. Factor 9/2*s**2 + o + 3/2*s**3 + 3*s.
3*s*(s + 1)*(s + 2)/2
Suppose -3*z**2 + 3 + 1 - 4 - 6*z = 0. Calculate z.
-2, 0
Let a(g) be the third derivative of 0 + 1/12*g**3 - 1/24*g**4 + 1/120*g**5 + 0*g - 6*g**2. Find u such that a(u) = 0.
1
Suppose -54*o - 54 + 5*o**3 - 7*o**3 - 2*o**2 - 15*o**2 - o**2 = 0. Calculate o.
-3
Factor -8/11*x - 2/11*x**2 - 6/11.
-2*(x + 1)*(x + 3)/11
Factor -3/4*c + 0 + 3/8*c**2.
3*c*(c - 2)/8
Let v be 2 - 0/(1/1). Suppose -2*m = 2*m - 64. Factor y + m*y**3 - y + 8*y**4 + v*y + 10*y**2.
2*y*(y + 1)*(2*y + 1)**2
Suppose -3*z + 3 = 2*x, -6*x + 2*z = -2*x - 14. Let i(a) be the first derivative of 0*a**2 + 0*a + 0*a**4 - 2/15*a**5 + 2/9*a**x - 1. Factor i(f).
-2*f**2*(f - 1)*(f + 1)/3
Factor -3 - 22*x + 11*x + 9*x + x**2.
(x - 3)*(x + 1)
Let u(y) = -y**3 - 9*y**2 - 8*y + 5. Let m be u(-8). What is g in 4 + 2*g**2 + 2*g**3 - 3*g + 0*g**m + 0 + g**5 - 3*g**4 - 3 = 0?
-1, 1
Let c(t) = 4*t**3 - 6*t**2 + 30*t - 14. Let n(k) = k**3 - k**2 + 6*k - 3. Let x(h) = 6*c(h) - 28*n(h). Suppose x(z) = 0. What is z?
-3, 0, 1
Let s = 76 + -73. Factor 16/5*u**s + 12/5*u + 2/5 + 24/5*u**2.
2*(2*u + 1)**3/5
Let j(p) be the second derivative of -p**7/280 + p**5/40 - p**3/8 - 3*p**2 + 10*p. Let z(o) be the first derivative of j(o). Find b such that z(b) = 0.
-1, 1
Let g be 2 + (-2)/4*0. Determine u, given that 3 + 2*u**2 + 0*u**2 - 2*u**2 - 3*u**g = 0.
-1, 1
Let d(p) be the first derivative of -5*p**3/3 + 5*p - 17. Factor d(z).
-5*(z - 1)*(z + 1)
Factor -1 + 3/4*q**2 - 1/4*q**3 + 0*q.
-(q - 2)**2*(q + 1)/4
Let 0 + 1/2*k**5 + k**4 + 0*k + 0*k**2 - 3/2*k**3 = 0. What is k?
-3, 0, 1
Let z = 8/7 + -9/14. What is t in 1/2*t**2 + 0*t - 1/2*t**3 + 1/2*t**5 + 0 - z*t**4 = 0?
-1, 0, 1
Let k be 3 + (-3 - 33*-1). Let x = 35 - k. Factor 14/5*b + 2/5*b**4 + 18/5*b**2 + x*b**3 + 4/5.
2*(b + 1)**3*(b + 2)/5
Let u = -7 + 8. Let n be 3/6*1/u. Find i such that n*i**3 + 0 + 0*i + 0*i**2 = 0.
0
Let c(q) = -10*q**3 - 5*q**2 - 19*q + 7. Let g(m) = 9*m**3 + 6*m**2 + 18*m - 6. Let j = -3 - -10. Let x(s) = j*g(s) + 6*c(s). Solve x(r) = 0.
-2, 0
Let n be 108/(-24)*(-4)/9. Let x(i) be the first derivative of 2 - 2/9*i**3 - 2/3*i**n - 2/3*i. Find q such that x(q) = 0.
-1
Let w(y) = -3*y**3 - 2*y - 1. Let f be w(-1). Factor 6*r**3 - 4*r**2 - r**4 + 7*r**2 + f*r**4.
3*r**2*(r + 1)**2
Let c(b) be the second derivative of 4/5*b**2 + 0 + 1/30*b**4 + 4/15*b**3 + 5*b. Determine q, given that c(q) = 0.
-2
Let l = -20 + 23. Let d(g) be the first derivative of -1 + 1/27*g**6 + 0*g + 2/45*g**5 + 0*g**2 - 2/27*g**l - 1/18*g**4. Let d(u) = 0. What is u?
-1, 0, 1
Suppose -7 = -4*b - l, 4*b - 2*l = -0*b + 22. Factor 0*k + 0 + 8/9*k**b - 2/3*k**4 - 2/9*k**2.
-2*k**2*(k - 1)*(3*k - 1)/9
Let o(v) be the third derivative of 1/102*v**4 + 0 + 0*v + 1/17*v**3 + 4*v**2 - 1/510*v**5. Let o(s) = 0. Calculate s.
-1, 3
Let l(z) = -z - 7. Let o be l(-7). Suppose 4*v + 16 = y - o*v, -4*y - 2*v + 10 = 0. Solve u**4 - 2*u**5 + 0*u**y + u**4 = 0.
0, 1
Let j(o) be the second derivative of -o**4/6 + o**3/3 - 3*o. Factor j(z).
-2*z*(z - 1)
Let l(u) be the third derivative of -u**7/280 - u**6/32 - 9*u**5/80 - 7*u**4/32 - u**3/4 - 12*u**2. Find j such that l(j) = 0.
-2, -1
Let z(p) be the second derivative of 5*p**4/12 - 10*p**2 + 22*p. Solve z(b) = 0.
-2, 2
Let y(l) be the second derivative of -l**4/4 + 3*l**3/2 - 3*l**2 + 2*l. Factor y(x).
-3*(x - 2)*(x - 1)
Let y = -1 + 1. Find q such that q + y*q**2 + q - q**2 - q**2 = 0.
0, 1
Let i be 0 + -1 - 18/(-6). Let b = 2 - i. Suppose 1/2*c + 1/2*c**2 + b = 0. What is c?
-1, 0
Suppose 3*i + 5*b = i + 14, -5*i - 5*b + 20 = 0. Let 0 - 2/3*v**4 - 2/3*v - i*v**2 - 2*v**3 = 0. Calculate v.
-1, 0
Let f(a) be the third derivative of 0*a**3 + a**2 + 1/180*a**5 - 1/36*a**4 + 0*a + 0. Factor f(l).
l*(l - 2)/3
Let o(g) be the first derivative of -1/10*g**2 + 1/5*g - 1/15*g**3 + 1/20*g**4 + 1. Find q such that o(q) = 0.
-1, 1
Solve -18/5 + 12/5*f - 2/5*f**2 = 0 for f.
3
Let q(i) be the first derivative of -i**5/25 + i**4/5 - 4*i**3/15 + 6. Find w such that q(w) = 0.
0, 2
Factor -6*v**2 + 3 + v**2 + 10*v - 3.
-5*v*(v - 2)
Factor -2 + 4*g**2 + 1 + 3*g + 3 - 3*g**2.
(g + 1)*(g + 2)
Let q(p) be the third derivative of -p**8/100800 - p**7/25200 + p**6/1800 - p**5/20 + 3*p**2. Let x(r) be the third derivative of q(r). Factor x(s).
-(s - 1)*(s + 2)/5
Let w be 3/(-15) + 11/5. Suppose 2*m**3 + w*m + m**2 + 6*m + 2*m**2 + 5*m**2 = 0. Calculate m.
-2, 0
Let l(f) be the first derivative of -f**4/6 - 4*f**3/9 + f**2/3 + 4*f/3 + 39. Factor l(k).
-2*(k - 1)*(k + 1)*(k + 2)/3
Let a = -5 + 8. Factor -3*u - 10*u - a*u**2 + 7*u - 3.
-3*(u + 1)**2
Suppose -v + 0*b + 6 = -2*b, 3*v + 5*b = -4. Factor -3*n**2 - 5*n**v + 5*n**3 - 3*n**3 + 2*n**3.
4*n**2*(n - 2)
Let g(k) be the third derivative of -k**8/168 + k**6/30 - k**4/12 + 12*k**2. Solve g(f) = 0 for f.
-1, 0, 1
Let y(a) be the first derivative of -a**4/6 + a**3/3 + 3*a + 2. Let m(u) be the first derivative of y(u). Factor m(d).
-2*d*(d - 1)
Let h(n) = n**2 + 6*n + 3. Let a be h(-6). Suppose -a*f = f - 8. Factor 0*v**2 + v**3 + 2*v + 4*v**f + v**3.
2*v*(v + 1)**2
Factor -562*g**4 - g**2 + 563*g**4 + 2*g**5 - 3*g**5 + g**3.
-g**2*(g - 1)**2*(g + 1)
Let j be 12/(-20) + 3 + 40/(-25). Factor 4/5 - 2/5*a**3 + j*a + 1/5*a**4 - 3/5*a**2.
(a - 2)**2*(a + 1)**2/5
Let n(d) be the second derivative of 2*d - 1/80*d**5 + 1/12*d**4 - 1/120*d**6 + 0*d**2 + 0 + 1/6*d**3. Find h, given that n(h) = 0.
-2, -1, 0, 2
Let y(n) = -n**2 - n. Let z(s) = s**2 - s + 6. Let b(g) = 6*y(g) + 2*z(g). Factor b(r).
-4*(r - 1)*(r + 3)
Let x(m) be the first derivative of -m**4/12 - m**3/18 + m**2/12 - 29. Suppose x(g) = 0. What is g?
-1, 0, 1/2
Let m(i) be the second derivative of -1/6*i**2 - 5*i + 1/36*i**4 - 1/60*i**5 + 0 + 1/18*i**3. Solve m(q) = 0 for q.
-1, 1
Let d(i) be the third derivative of i**5/210 + 2*i**4/21 + 16*i**3/21 - 21*i**2. Factor d(s).
2*(s + 4)**2/7
Let k(p) be the second derivative of -p**6/900 + p**5/300 + 2*p**3/3 + 3*p. Let a(r) be the second derivative of k(r). Factor a(m).
-2*m*(m - 1)/5
Let s(a) be the second derivative of a**7/840 - a**6/240 - a**4/3 + 5*a. Let d(y) be the third derivative of s(y). Factor d(u).
3*u*(u - 1)
Suppose 2*x - 4 = 2. Suppose -2*n + 0*n - 1 = -y, 0 = -n + x*y - 8. Solve -k - k - k**3 + n + 3*k - k**2 = 0 for k.
-1, 1
Let o(j) = 0*j**2 - 12*j - 6 + 2*j - 4*j**2. Let k(b) = b**2 + b + 1. Let x(y) = -6*k(y) - o(y). Factor x(z).
-2*z*(z - 2)
Let h(b) be the second derivative of b**6/10 + b**5/5 - b**4/6 - 2*b**3/3 - b**2/2 - 7*b. Find j such that h(j) = 0.
-1, -1/3, 1
Determine i, given that -2/13 - 32/13*i - 128/13*i**2 = 0.
-1/8
Suppose 5*w = 2*w + 51. Solve -p**3 + 4 + p**2 + 11*p**3 - p + w*p**2 + 2*p**4 + 15*p = 0 for p.
-2, -1
Let r = 281 - 839/3. Factor -r*k + 0 + 10/3*k**2 - 2*k**3.
-2*k*(k - 1)*(3*k - 2)/3
Factor n**2 - 5 + 7 - 3.
(n - 1)*(n + 1)
Factor -5/2 + 2*v + 1/2*v**2.
(v - 1)*(v + 5)/2
Let b(v) = -2*v - 32. Let a be b(-17). Let 1/3*o**a - 2/3*o + 0 = 0. Calculate o.
0, 2
What is m in 0 + 1/9*m**2 - 4/9*m = 0?
0, 4
Let r(f) be the first derivative of 2/3*f**3 - 2*f**2 + 1 + 2*f. Suppose r(p) = 0. What is p?
1
Factor 1/4*l**4 + 0 + 0*l**3 + 0*l - 1/4*l**5 + 0*l**2.
-l**4*(l - 1)/4
Let r(i) be the second derivative of 0*i**2 + 3*i + 0*i**3 + 1/5*i**6 + 0 - 1/21*i**7 - 3/10*i**5 + 1/6*i**4. Factor r(z).
-2*z**2*(z - 1)**3
Let a(c) be the third derivative of 5*c**8/336 - c**7/14 + c**6/8 - c**5/12 - 24*c**2. Factor a(u).
5*u**2*(u - 1)**3
Let c(f) be the first derivative of -f**3/3 - 2*f**2 - 4*f - 23. Suppose c(s) = 0. What is s?
-2
Find r, given that 8 - 2*r**3 + 6*r**2 - 12*r**2 + 0*r**3 = 0.
-2, 1
Let o = -25 + 27. Let q(b) be the second derivative of -o*b + 1/40*b**5 - 1/12*b**3 + 0*b**2 + 0*b**4 + 0. Factor q(l).
l*(l - 1)*(l + 1)/2
Let y(w) = 3*w + 18. Let a be y(-5). Factor q**2 + q + 1/3 + 1/3*q**a.
(q + 1)**3/3
Let f(s) be the third derivative of -s**5/120 + s**3/3 - 8*s**2. Find v such that f(v) = 0.
-2, 2
Let t(g) be the first derivative of -g**4/2 + 2*g**3 - 2*g**2 + 29. Factor t(i).
-2*i*(i