 1/3*b + 1/3*b**q = 0.
-1, 0, 1
Let o(v) be the first derivative of -v**4/20 + v**3/15 + v**2/10 - v/5 - 11. Determine a so that o(a) = 0.
-1, 1
Suppose 18*z = 13*z + 25. Factor 0 - 2/3*h**2 + 0*h + 2/3*h**4 + 2/3*h**z - 2/3*h**3.
2*h**2*(h - 1)*(h + 1)**2/3
Let u(h) = -12*h**3 + 13*h**2 - 3*h. Let o be 5/(-3)*(1 - 4). Let q(v) = 24*v**3 - 25*v**2 + 6*v. Let i(f) = o*u(f) + 2*q(f). Factor i(s).
-3*s*(s - 1)*(4*s - 1)
Let m(b) be the first derivative of b**6/10 + 3*b**5/25 - 3*b**4/10 + 6. Factor m(g).
3*g**3*(g - 1)*(g + 2)/5
Let k(v) = -v**3 + 2*v**2 + v - 2. Let r be k(2). Let t(c) be the third derivative of 0*c**3 + c**2 - 1/60*c**5 + 1/12*c**4 + r + 0*c. Factor t(h).
-h*(h - 2)
Let b(r) be the third derivative of -r**5/45 - r**4/18 + 4*r**3/9 - 4*r**2. Factor b(a).
-4*(a - 1)*(a + 2)/3
Let z(s) be the first derivative of -s**6/540 - s**5/90 + s**4/12 - 3*s**3 - 5. Let d(b) be the third derivative of z(b). Factor d(a).
-2*(a - 1)*(a + 3)/3
Let u(q) be the second derivative of q**5/45 - 5*q**4/27 + 14*q**3/27 - 2*q**2/3 - 10*q. Solve u(a) = 0.
1, 3
Factor 1/2*g**2 - 7*g + 49/2.
(g - 7)**2/2
Let l(c) = -9*c**2 + 12*c. Let x(f) = -2*f**2 + 3*f. Let b(w) = -6*l(w) + 26*x(w). Solve b(g) = 0 for g.
-3, 0
Let w(n) be the first derivative of 0*n**5 + 0*n**2 + 2/3*n**6 - 4 + 0*n - 3*n**4 + 8/3*n**3. Suppose w(c) = 0. Calculate c.
-2, 0, 1
Let p(o) be the second derivative of o**5/100 + o**4/15 + o**3/6 + o**2/5 - 7*o. Factor p(a).
(a + 1)**2*(a + 2)/5
Suppose 2*z = -2*z + 64. Let p be 38/48 + (-2)/z. Factor p*r**2 - 2/3 + 0*r.
2*(r - 1)*(r + 1)/3
Let n(m) = m**2 - 3*m. Let a be n(3). Factor a + o**2 + 1 - 2*o**2 + 0*o**2.
-(o - 1)*(o + 1)
Factor b**2 + 0*b**2 - 79*b + 76*b.
b*(b - 3)
Solve -2 + 6*v**2 - 3*v**2 + 7 - 6*v - 2 = 0 for v.
1
Let n(g) be the first derivative of -g**6/9 + 14*g**5/15 - 3*g**4 + 40*g**3/9 - 8*g**2/3 - 17. Find q, given that n(q) = 0.
0, 1, 2
Let b = 3/40 - -1/8. Factor b*s**2 + 0 - 1/5*s.
s*(s - 1)/5
Factor -2/7*o + 0 + 4/7*o**4 + 2/7*o**5 - 4/7*o**2 + 0*o**3.
2*o*(o - 1)*(o + 1)**3/7
Let h(n) be the first derivative of -n**5/10 - n**4/4 - n**3/6 + 5. Let h(g) = 0. Calculate g.
-1, 0
What is f in -22*f**5 + 28*f**3 + 7*f**5 - 8*f**2 - 11*f**5 + 8*f**4 - 2*f**5 = 0?
-1, 0, 2/7, 1
Let k be ((-5)/15)/((-1)/6). Factor 2*w + w**k + 0*w + w**2.
2*w*(w + 1)
Suppose t - 2 = 2. Let s be 19/15 + (-44)/12 + 3. Suppose -9/5*l**3 + 0*l - 3/5*l**5 + 9/5*l**t + 0 + s*l**2 = 0. Calculate l.
0, 1
Let q = 4 - 4. Suppose q = -3*i + n - 5*n + 10, -2*n - 20 = -i. Suppose 4*l**3 + 12*l + 8*l - i*l**2 - 4 - 7*l**2 = 0. What is l?
1/4, 2
Factor 0 - 1/3*p**4 + 5/3*p**3 + p - 7/3*p**2.
-p*(p - 3)*(p - 1)**2/3
Let h(v) = -3*v**2 + 0*v**5 - v**3 + v**5 - 2*v**2. Let y(a) = 12*a + 2*a**2 + 8*a - 20*a. Let p(n) = 2*h(n) + 5*y(n). What is g in p(g) = 0?
-1, 0, 1
Suppose 5*n + 10 = 8*i - 3*i, -2*n - 3*i + 6 = 0. Suppose -4/7*b**5 + n*b**2 + 0 + 2/7*b**3 + 2/7*b**4 + 0*b = 0. Calculate b.
-1/2, 0, 1
Let d(c) be the first derivative of c**4/32 - c**2/4 + 2. Factor d(b).
b*(b - 2)*(b + 2)/8
Let q be 8/6*(-3)/(-2). Let m(r) be the second derivative of 0 + 1/5*r**6 - 2/21*r**7 - 2/3*r**4 + r**q - r + 1/5*r**5 + 0*r**3. Find l such that m(l) = 0.
-1, -1/2, 1
Solve 0*q + 12/5 - 3/5*q**2 = 0.
-2, 2
Suppose i + 1 - 4 = 0. Solve 3*l**i + 3 - 8*l**2 + 10*l - l**3 - 7 + 0 = 0 for l.
1, 2
Find z such that 4*z**3 + 6 - 3 + 5 + 12*z**4 - 20*z**2 - 4*z = 0.
-1, 2/3, 1
Let f(z) be the second derivative of z**7/49 - 3*z**6/35 + 9*z**5/70 - z**4/14 - 14*z. Find k, given that f(k) = 0.
0, 1
Suppose 2*s - 5*l = -4*l + 11, 3*s - 3*l = 21. Factor -2*p**3 - 5*p**5 + 4*p**5 + s*p**3 - p.
-p*(p - 1)**2*(p + 1)**2
Let o = -6 + 9. Factor -27*c**2 + 0*c**4 - 11*c**3 - 7*c**3 - o*c**4.
-3*c**2*(c + 3)**2
Let q(f) be the second derivative of -f**6/120 + f**5/15 - 5*f**4/24 + f**3/3 + 7*f**2/2 - 2*f. Let l(x) be the first derivative of q(x). Factor l(j).
-(j - 2)*(j - 1)**2
Let u(d) = -d**3 - 5*d**2 - d - 3. Let w(c) = 4*c**3 + 24*c**2 + 6*c + 14. Let x(z) = 28*u(z) + 6*w(z). Factor x(q).
-4*q*(q - 2)*(q + 1)
Let f(z) be the third derivative of 0*z**4 - 1/35*z**7 + 0*z**6 + 0*z + 0*z**3 + 0 + 2/15*z**5 - 5*z**2 - 1/168*z**8. Suppose f(r) = 0. Calculate r.
-2, 0, 1
Let b(h) be the second derivative of h**6/10 + 7*h**5/20 + 5*h**4/12 + h**3/6 - 7*h. Factor b(d).
d*(d + 1)**2*(3*d + 1)
Suppose -5 - 5*s**2 - 5*s**2 + 5 + 17*s + s**3 - 8 = 0. What is s?
1, 8
Let r(j) = j**2 - j + 1. Let d(s) be the third derivative of 2*s**5/15 + s**4/24 - s**3/6 + s**2. Let a(o) = d(o) - 2*r(o). Factor a(m).
3*(m + 1)*(2*m - 1)
Let u(m) be the first derivative of -m**5/480 + 5*m**2/2 + 7. Let r(h) be the second derivative of u(h). Solve r(l) = 0.
0
Let k(w) be the third derivative of w**5/30 + w**4/4 + 2*w**3/3 + 6*w**2. Factor k(q).
2*(q + 1)*(q + 2)
Let s(w) be the second derivative of 0*w**2 - 1/6*w**4 + 1/30*w**6 + 0*w**3 + w + 0 + 1/20*w**5. What is z in s(z) = 0?
-2, 0, 1
Let m(v) be the second derivative of 0 - 2*v + 0*v**3 - 2/135*v**6 + 0*v**4 + 0*v**2 + 1/189*v**7 + 0*v**5. Let m(a) = 0. Calculate a.
0, 2
Let p(j) = -j**3 - 4*j**2 - j + 4. Let g be p(-2). Let w be g/(-12)*3 - -1. Determine q, given that q + 0 - 5/2*q**3 + w*q**5 + 1/2*q**4 - 1/2*q**2 = 0.
-1, 0, 2/3, 1
Let n = 2 - 2. Suppose p = 4*q - 8, -q - 2*p = -n*p - 2. Let q*d + 4*d**3 - d - 3*d - 2*d**5 = 0. Calculate d.
-1, 0, 1
Let s = 69 - 65. Let w(u) be the first derivative of -3 - 3/5*u**5 - 1/3*u**3 + 0*u + 0*u**2 + 3/4*u**s + 1/6*u**6. Solve w(q) = 0.
0, 1
Let -7*c + 15 - 3*c + 712*c**2 - 717*c**2 = 0. Calculate c.
-3, 1
Let w(f) be the third derivative of 5*f**8/336 - 5*f**7/42 + 7*f**6/24 + f**5/12 - 5*f**4/3 + 10*f**3/3 - 22*f**2. Determine i so that w(i) = 0.
-1, 1, 2
Let o(s) be the second derivative of s**4/24 - s**3/12 - s**2/2 + s. Factor o(q).
(q - 2)*(q + 1)/2
Let k = 4 - 3. Let g = 1 + k. Determine b so that 11*b**g - 20*b + 3 - 5 - 61*b**2 = 0.
-1/5
Let x(u) be the third derivative of -u**8/5040 + u**7/504 - u**6/135 + u**5/90 - u**3/6 - 2*u**2. Let r(v) be the first derivative of x(v). Factor r(j).
-j*(j - 2)**2*(j - 1)/3
Factor 0*q**2 + 0*q + 0*q**3 + 0 - 2/9*q**4.
-2*q**4/9
Let z(h) be the first derivative of -h**7/35 + h**6/60 + h**5/10 - h**4/12 - 3*h**2/2 + 3. Let w(p) be the second derivative of z(p). Factor w(d).
-2*d*(d - 1)*(d + 1)*(3*d - 1)
Let l(n) = 4*n + 6 - 4*n + 3*n - 2*n. Let c be l(-3). Find b such that -2/3*b - 2/3*b**5 - 1/3*b**4 - 1/3 + 4/3*b**c + 2/3*b**2 = 0.
-1, -1/2, 1
Let a(b) = -b**3 + 5*b**2 - 4*b + 2. Let g be a(3). Suppose 0 = -2*r - 2*r + g. Suppose 0 - 2/3*y + 1/3*y**r = 0. Calculate y.
0, 2
Factor 12 - 2*j**2 - 12*j + 4*j + 6*j.
-2*(j - 2)*(j + 3)
Let m(p) = 2*p + 19. Let t be m(-8). Factor -2*x**2 + 17*x**t - 12*x**3 - 10*x**3.
-x**2*(5*x + 2)
Let h(q) be the first derivative of 0*q**3 + 0*q**5 - 9 + 1/4*q**6 + 0*q - 3/4*q**4 + 3/4*q**2. Factor h(t).
3*t*(t - 1)**2*(t + 1)**2/2
Let y be (-18)/(-12) + 2/4. Suppose -2*i + 0*j + 9 = -3*j, -y*i + 4 = 2*j. Factor 4*x**4 - x - 9*x**i - 4*x**4 - 3*x**4 - 6*x**2 - x**4.
-x*(x + 1)**2*(4*x + 1)
Let v = 284 - 281. Find m, given that 1/2*m**2 + 1/3*m**v - 1/2*m - 1/3 = 0.
-2, -1/2, 1
Suppose -12/7*n**2 + 0 + 0*n + 4/7*n**3 = 0. What is n?
0, 3
Suppose -a = 2*a + i - 10, 0 = -2*a - 4*i. Suppose -3*s**2 - 2*s**2 + a*s**2 + 2*s + 0*s**2 - 1 = 0. Calculate s.
1
Suppose -75 = z - 78. Let r(h) be the first derivative of -1/14*h**4 - 2 + 4/21*h**z + 0*h - 1/7*h**2. Determine l so that r(l) = 0.
0, 1
Suppose -49/2 + 7*g - 1/2*g**2 = 0. Calculate g.
7
Let m(n) = 89*n**2 - 1. Let a be m(-1). Let b = 442/5 - a. Find u such that -b*u + 2/5*u**3 + 2/5*u**2 - 2/5 = 0.
-1, 1
Suppose h = -0*h + 2. Find j such that 14*j**4 + 10*j**3 + 6*j**2 - h*j**2 - 2*j**2 + 6*j**5 = 0.
-1, -1/3, 0
Let k be (3/2)/(2/4). Suppose g**2 - g**2 - g**2 + k*g**2 = 0. Calculate g.
0
Factor -2 - 29/2*h**2 - 5*h**3 - 10*h.
-(h + 2)*(2*h + 1)*(5*h + 2)/2
Suppose -4*s = -5*i + 2*i + 18, -5*s - 19 = -2*i. Let z = s + 7. Factor 2*o**4 + o**4 - o**3 - 4*o**z.
-o**3*(o + 1)
Let c be ((-4)/10)/(7/(-10)). Suppose 3*a + 2*y = 2*a, 3*a - 4*y = 0. Factor 0 + a*o + 2/7*o**3 - 2/7*o**2 + c*o**4.
2*o**2*(o + 1)*(2*o - 1)/7
Let j = -5 - -8. Factor 4*c**2 - 4*c + 3*c**j + 3*c - 3*c.
c*(c + 2)*(3*c - 