**2 + 0 - 1/2*c**n + 1/2*c**o.
c*(c - 1)**2*(c + 1)/2
Suppose 3*f = -52 - 47. Let j be (-2 + f/(-9))*1. Factor 22/3*u**4 - 38/3*u**3 - 13/3*u + 32/3*u**2 - j*u**5 + 2/3.
-(u - 1)**4*(5*u - 2)/3
Let b be ((-4)/3 - -1)*(-9)/6. Solve 0 - 1/2*l**2 + b*l = 0.
0, 1
Let x(r) = 6*r**2 - 12*r + 19. Let d(w) = 2*w - 3 - w + 0*w**2 + w - w**2. Let y(g) = -39*d(g) - 6*x(g). Determine k, given that y(k) = 0.
1
Suppose -3*r - 2*r = -55. Factor -19*f**4 + 2 - r*f + 12*f**2 + 21*f**4 - 8*f**3 + 3*f.
2*(f - 1)**4
Let 3/2*q + 2/3*q**2 + 1/3 = 0. Calculate q.
-2, -1/4
Let j(o) be the first derivative of -o**5/10 + 5*o**4/18 - 7*o**3/27 + o**2/9 - 4*o - 1. Let u(a) be the first derivative of j(a). Factor u(s).
-2*(s - 1)*(3*s - 1)**2/9
Let i(d) be the third derivative of -d**8/3360 - d**7/1260 + d**4/6 - 3*d**2. Let k(m) be the second derivative of i(m). Factor k(j).
-2*j**2*(j + 1)
Let h be -3 + (-42)/(-6)*(-6)/(-10). Factor 2/5*q + 0 - 2/5*q**4 - h*q**2 + 6/5*q**3.
-2*q*(q - 1)**3/5
Let x be (-7)/(-21) - 40/(-15). Determine a, given that 1/2*a**2 - 1/4*a**x + 1/4*a - 1/2 = 0.
-1, 1, 2
Let q(z) = -z - 7. Let o be (-18)/1*1/2. Let y be q(o). What is u in u**2 - 4*u + y*u - 3*u**2 = 0?
-1, 0
Let x be 4/(-18) + 504/81. Let h(y) be the third derivative of y**2 + 1/120*y**x - 1/24*y**4 + 0 + 0*y**5 - 1/12*y**3 + 0*y + 1/420*y**7. Factor h(g).
(g - 1)*(g + 1)**3/2
Let c = 7 + -3. Let l = 7 - c. Factor 2/9 - 2/9*t**l + 2/3*t**2 - 2/3*t.
-2*(t - 1)**3/9
Let -4/13*i - 14/13*i**2 + 0 + 4/13*i**3 + 14/13*i**4 = 0. What is i?
-1, -2/7, 0, 1
Let r be 1*(-4)/(-3)*-3. Let i be 1*3/(-6)*r. Let -3*z**3 + 4*z**2 - i*z**2 - 4*z**2 - 3*z**2 - 2*z = 0. Calculate z.
-1, -2/3, 0
Let y be 1*(4 + (1 - 4)). Let j(z) = -z**2. Let a(f) = -5*f**2 - 2*f - 1. Let k(i) = y*a(i) - 4*j(i). What is d in k(d) = 0?
-1
Let p(q) be the second derivative of -1/60*q**4 + 2*q + 1/30*q**3 + 0 + 1/5*q**2. Find g such that p(g) = 0.
-1, 2
Let m be (-1 + 0 - -2)*7. Factor -m - 9*h + 1 - 2*h**2 - h**2.
-3*(h + 1)*(h + 2)
Let b(d) be the second derivative of -d**6/30 + d**5/20 + d**4/12 - d**3/6 + 2*d. Factor b(o).
-o*(o - 1)**2*(o + 1)
Let l(f) = -8*f**3 + 10*f**2 - 6*f + 2. Let t(y) = y**3 - 2*y**2 - y + 1. Let k(w) = -2*l(w) + 4*t(w). Factor k(g).
4*g*(g - 1)*(5*g - 2)
Suppose -2*m - 4*s - 2 + 24 = 0, 0 = -3*s + 9. Let t(q) be the first derivative of -1/2*q**4 + 0*q**m - 4 + 0*q**3 + 0*q**2 + 1/3*q**6 + 0*q. Factor t(i).
2*i**3*(i - 1)*(i + 1)
Factor 8/13*b**3 + 4/13*b - 10/13*b**2 + 0 - 2/13*b**4.
-2*b*(b - 2)*(b - 1)**2/13
Let f be (-2)/(-2)*-3 - 69/(-15). Factor 8/5*g + f*g**2 + 0 + 2/5*g**3.
2*g*(g + 2)**2/5
Let v(l) = l**3 + 2 + 9*l**2 + 16*l**2 - l + 7*l**3 - 11. Let j(f) = -2*f**3 - 6*f**2 + 2. Let p(b) = 9*j(b) + 2*v(b). Find x such that p(x) = 0.
-1, 0
Let o be (3/(-12)*0)/2. Let s(b) be the second derivative of b + 0*b**2 + 0*b**3 + 0 + 0*b**5 + o*b**4 - 2/45*b**6 - 5/63*b**7. Factor s(d).
-2*d**4*(5*d + 2)/3
Let g(h) = -3*h**4 - 7*h**3 + 10*h**2 + 4*h - 4. Let f(k) = 3*k**4 + 8*k**3 - 11*k**2 - 5*k + 5. Let r(i) = -4*f(i) - 5*g(i). Solve r(b) = 0 for b.
-2, 0, 1
Let i be (2*(-2)/42)/((-84)/49). Let j(r) be the second derivative of -4*r + 0 + i*r**4 + 0*r**2 + 1/18*r**3 + 1/60*r**5. Let j(k) = 0. What is k?
-1, 0
Let j = -4 + 6. Factor 4*z**2 - 4*z**2 - 2*z**2 - 3*z + 3*z**j.
z*(z - 3)
Let r(l) = -8*l + 2. Let n be r(6). Let c = -406/9 - n. Factor -2/9 + c*p**3 + 14/9*p**2 + 4/9*p.
2*(p + 1)**2*(4*p - 1)/9
Let b(k) be the second derivative of 13*k**4/12 - 11*k**3/6 - k**2 + 5*k. Factor b(v).
(v - 1)*(13*v + 2)
Suppose -i = -2*i + 3. Suppose 22 = 5*n - i*r, 0 = 3*n + r - 5 + 3. Factor 2/9*b**n - 4/9*b + 2/9.
2*(b - 1)**2/9
Let w(x) = 1. Let y(a) = 2*a**2 - 2*a + 5. Let k(r) = -5*w(r) + y(r). Find f such that k(f) = 0.
0, 1
Let a(d) = -d**2 - 4*d - 5. Let v be a(-7). Let k = -24 - v. What is i in -4/3*i + 2/3 + 2/3*i**k = 0?
1
Let d(x) = 14*x**3 - 2*x**2 - 14*x - 4. Let l(t) = -28*t**3 + 5*t**2 + 28*t + 8. Let z = -12 - -2. Let o = z + 23. Let h(r) = o*d(r) + 6*l(r). Factor h(y).
2*(y - 1)*(y + 1)*(7*y + 2)
Let u(y) be the second derivative of 0*y**2 - 2/105*y**6 + 0*y**4 - 3/70*y**5 + 1/21*y**3 + 0 + 5*y. Determine n, given that u(n) = 0.
-1, 0, 1/2
Suppose 8*h - 20 = 3*h, 20 = 2*d + 3*h. Find i, given that -3*i**2 + 4*i + 6*i**2 - 3*i + i**d + 3*i**3 = 0.
-1, 0
Let i be (-1)/(-3) - (-28)/6. Let k(d) be the second derivative of 0*d**2 - 1/90*d**i - 2*d + 0*d**3 + 0 + 1/189*d**7 - 1/54*d**4 + 1/135*d**6. Factor k(h).
2*h**2*(h - 1)*(h + 1)**2/9
Factor 26*i**4 + 4*i - 4*i**2 - 2*i**5 - 24*i**4 + 6*i**3 - 6*i**2.
-2*i*(i - 1)**3*(i + 2)
Let m(p) = -p**2 + 5*p - 3. Let f be m(3). Suppose r = -f*r. Factor r*n**2 + 1/3*n**4 + 0*n + 0 + 0*n**3.
n**4/3
Suppose 0 = -w - 0 - 6. Let n = w - -13. Factor -n*b**3 + 2 + 2*b**3 - 4*b + 3*b**3 - 14*b**2 - 6*b**3.
-2*(b + 1)**2*(4*b - 1)
Let y(r) = -r + 12. Let m be y(0). Factor -11*z**2 + m*z**3 + 3*z**2 - 6*z**3 + 2*z.
2*z*(z - 1)*(3*z - 1)
Let p be (16/(-12))/((-2)/6). Let k(r) be the third derivative of -2*r**2 + 0*r - 4/3*r**3 + 0 + 1/3*r**p - 1/30*r**5. Factor k(t).
-2*(t - 2)**2
Suppose -4/9 + 2/9*a**2 + 2/9*a = 0. What is a?
-2, 1
Let r(g) be the first derivative of -g**5/2 - 15*g**4/8 + 5*g**3/6 + 15*g**2/4 - 4. Factor r(w).
-5*w*(w - 1)*(w + 1)*(w + 3)/2
Let u(a) be the third derivative of -4*a**2 + 0*a**3 + 0*a**4 + 1/90*a**5 + 0 + 0*a. Suppose u(g) = 0. What is g?
0
Determine h, given that 19/4*h + 1/2 + 43/4*h**2 + 13/2*h**3 = 0.
-1, -1/2, -2/13
Let t(x) be the first derivative of -4*x**3/3 - x**2 - 11. Factor t(k).
-2*k*(2*k + 1)
Suppose -4*y = -3*y + 2*h - 6, 2*y + 5*h - 14 = 0. Find f, given that 10*f - 13*f**2 + 5*f + 6 - f**y - 7*f**2 = 0.
-2/7, 1
Let j(o) be the first derivative of 7*o**6/10 + 48*o**5/25 + 3*o**4/5 - 14*o**3/5 - 33*o**2/10 - 6*o/5 - 47. Suppose j(m) = 0. Calculate m.
-1, -2/7, 1
Find g, given that -5/2*g**2 - 15/2*g + 0 = 0.
-3, 0
Let j(k) = -5*k - 10. Let f be j(-2). Factor 0 - 1/4*d**4 + 0*d**2 + 1/4*d**3 + f*d.
-d**3*(d - 1)/4
Let y(j) = 2*j**2 + j - 1. Let r be y(-2). Let b be 2/30 - r/(-15). Factor 0*m + 2/5*m**2 + 0 - b*m**4 + 2/5*m**3 - 2/5*m**5.
-2*m**2*(m - 1)*(m + 1)**2/5
Let a(t) be the first derivative of t**4/7 - 4*t**3/7 + 6*t**2/7 - 4*t/7 - 10. Determine x so that a(x) = 0.
1
Let h(w) be the first derivative of -2*w**5/95 + 3*w**4/19 - 8*w**3/19 + 10*w**2/19 - 6*w/19 + 41. Factor h(v).
-2*(v - 3)*(v - 1)**3/19
Find x such that -5/4*x**2 - 1/2*x + 1/8*x**3 + 1/8*x**5 + 1/2*x**4 + 1 = 0.
-2, 1
Factor -2*u**5 - 10*u**5 - 6*u**3 - u**4 - 11*u**4 - 15*u**4.
-3*u**3*(u + 2)*(4*u + 1)
Let x(c) be the third derivative of 1/35*c**7 + 0*c**4 + 0 - 16/3*c**3 + 0*c + 4/15*c**6 + 2*c**2 + 4/5*c**5. Find k, given that x(k) = 0.
-2, 2/3
Let i(c) be the third derivative of c**6/540 - 2*c**5/135 + 5*c**4/108 - 2*c**3/27 - 4*c**2. Factor i(q).
2*(q - 2)*(q - 1)**2/9
Let p(v) = 2*v**2 + v**3 - 2*v**2 + v**2 + v**4. Let q(x) = -x**5 + 10*x**4 + 7*x**3 + 8*x**2. Let d(t) = 24*p(t) - 3*q(t). Factor d(b).
3*b**3*(b - 1)**2
Let t be 2 + (9/(-3) - -4). Suppose -4*z - 2*d - t*d = -18, -5*z + 3*d = -4. Let 3*n**2 - 4 - n**2 - n**2 + z*n + n**2 = 0. What is n?
-2, 1
Let x(v) = 11*v - 2. Let q be x(2). Suppose 0*f - 5*f - q = 4*j, -5 = -3*f + j. Factor -1 + 0*l - l**2 + 2*l + f*l.
-(l - 1)**2
Let r be 352/(-110) - (-3 - 1). Let n be 4/(1/(1/2)). Factor 2/5*y + r - 2/5*y**n.
-2*(y - 2)*(y + 1)/5
Let l(c) be the first derivative of -8/5*c**5 + 0*c**2 + 1/3*c**6 - 4/3*c**3 + 0*c + 6 + 5/2*c**4. Let l(q) = 0. Calculate q.
0, 1, 2
Let j(t) = 4*t**4 - 3*t**3 - 5*t**2 - 3*t + 4. Let u(l) = -l**4 + l**3 + l**2 + l - 1. Let w(n) = j(n) + 3*u(n). Factor w(z).
(z - 1)**2*(z + 1)**2
Let y(o) be the second derivative of o**7/63 - o**5/15 + o**3/9 - 5*o. Factor y(r).
2*r*(r - 1)**2*(r + 1)**2/3
Let n = 3737/15 + -249. Let c = 11/30 + n. Factor 0*r + 0 - r**3 + c*r**4 + 1/2*r**2.
r**2*(r - 1)**2/2
Let r(j) = -3*j**2 + 4*j + 2. Let k(z) = z**2 - z - 1. Let u(l) = -4*k(l) - 2*r(l). Factor u(y).
2*y*(y - 2)
Let q(w) be the first derivative of -w**7/70 + w**6/40 - w**2 - 2. Let f(m) be the second derivative of q(m). Let f(p) = 0. What is p?
0, 1
Let w(o) be the second derivative of o**6/40 - 3*o**5/16 + 9*o**4/16 - 7*o**3/8 + 3*o**2/4 + 7*o. Let w(c) = 0. W