*a**2 - 2*a. Factor k(x).
-4*(x + 1)*(x + 2)**2
Let c(o) = -o. Let a be c(-3). Solve p + 0*p**2 - a*p - p**2 + p = 0 for p.
-1, 0
Let j(i) be the second derivative of i**7/42 - i**6/30 - 3*i**5/20 + i**4/12 + i**3/3 - i + 7. Factor j(z).
z*(z - 2)*(z - 1)*(z + 1)**2
Let q(d) be the first derivative of -3/4*d**4 - 5/9*d**3 + 6 + 1/3*d**5 + 1/3*d**2 + 0*d + 7/18*d**6. Determine o so that q(o) = 0.
-1, 0, 2/7, 1
Let k(g) be the third derivative of -g**7/2520 + g**6/1080 + g**5/360 - g**4/12 + g**2. Let l(p) be the second derivative of k(p). Factor l(z).
-(z - 1)*(3*z + 1)/3
Let u(r) be the second derivative of -r**4/90 - 2*r**3/15 - 3*r**2/5 + 5*r. Solve u(z) = 0 for z.
-3
Suppose -6 = 8*j - 38. Let o(a) be the third derivative of -3*a**2 - 1/720*a**6 + 1/360*a**5 + 0 + 0*a + 0*a**3 + 1/72*a**j. Factor o(v).
-v*(v - 2)*(v + 1)/6
Let b(o) be the second derivative of -2*o**7/21 - 4*o**6/15 - o**5/5 + 8*o. Factor b(t).
-4*t**3*(t + 1)**2
Let k be (-1 - 1) + -3 + (12 - 4). Let x = 0 + 0. Solve -5*w - w**2 + k*w + x*w - 1 = 0.
-1
Suppose -2*z - l = -5*l + 4, 5*l - 18 = -4*z. Suppose 5*s + z*q - 40 = 3*q, -q = s - 8. Factor -11*n + s - 3*n + 2*n**2 + 6*n.
2*(n - 2)**2
Let w(f) be the third derivative of -f**8/3360 + f**7/420 + f**6/150 - 11*f**5/150 - 2*f**4/15 + 16*f**3/15 + f**2 + 21*f. Suppose w(z) = 0. What is z?
-2, 1, 4
What is h in -1/5*h**2 + 2/5*h + 0 = 0?
0, 2
Suppose c + 2*c = -3*f, -5*c - 18 = -4*f. Let m(w) = w**3 + w**2 - 3*w + 3. Let x(i) = -i**2 - 1. Let t(z) = f*x(z) + 2*m(z). Factor t(d).
2*(d - 1)**2*(d + 2)
Let b be -5 - -44 - (-2 + -1). Let i be b/18 - 2/6. Solve r - 1/3 + 1/3*r**3 - r**i = 0 for r.
1
Suppose -s**2 + 374 + 6*s**2 - 374 = 0. Calculate s.
0
Let g(b) = 3*b**3 - 3*b**2 - 9*b + 9. Let j(r) = r - 1. Let i(k) = g(k) + 6*j(k). Determine l, given that i(l) = 0.
-1, 1
Let f be 5/10*(3 - 3). Let n(k) be the first derivative of f*k**4 + 0*k - 1/27*k**6 - 4/45*k**5 + 1/9*k**2 - 1 + 4/27*k**3. Factor n(i).
-2*i*(i - 1)*(i + 1)**3/9
Let a be 32/8 - (0 + 2). Factor -4*q + 3*q**2 - 2*q**a - 2 + 5.
(q - 3)*(q - 1)
Let y(l) = 3 + 0 - 4 + 0. Let g(k) = k**3 - 3*k + 8. Let b(t) = g(t) + 6*y(t). Factor b(s).
(s - 1)**2*(s + 2)
Let x(r) be the second derivative of -r**4/15 - 2*r**3/3 + 14*r. Factor x(y).
-4*y*(y + 5)/5
Let j(b) = -b**3 + 5*b**2 + 2*b - 3. Let y be j(5). Let x = y - 3. Factor x*a**3 - 4 + 4*a**2 + 3*a**3 - 2*a - 5*a**3.
2*(a - 1)*(a + 1)*(a + 2)
Let t(b) be the second derivative of 0 - 1/6*b**4 + 1/3*b**3 + 3*b + 0*b**2. Let t(n) = 0. What is n?
0, 1
Let d(h) be the first derivative of 4*h**6/25 + 3*h**5/25 - 3*h**4/10 - h**3/2 - 3*h**2/10 + 7*h + 5. Let z(i) be the first derivative of d(i). Factor z(s).
3*(s - 1)*(2*s + 1)**3/5
Let q(w) be the third derivative of -w**6/90 + w**5/90 + w**4/18 - w**3/9 - w**2. Let q(j) = 0. Calculate j.
-1, 1/2, 1
Suppose 51*c - 44*c = 0. Let r(q) be the second derivative of 1/10*q**5 + c*q**2 + 1/3*q**3 + 3*q - 1/3*q**4 + 0. Solve r(g) = 0 for g.
0, 1
Find f, given that 0*f - 4/5*f**2 + 0 + 2/5*f**3 = 0.
0, 2
Suppose 0 = 2*w - 2 - 6. Suppose w*b**2 + 2*b**2 + 4 + 8*b - 2*b**2 = 0. Calculate b.
-1
Let x(a) be the second derivative of 0*a**3 + 0 - 1/60*a**4 - 4*a + 0*a**2. Factor x(w).
-w**2/5
Let c(g) = 3*g**2 - g - 4. Let d(i) = -4*i**2 + 2*i + 5. Let a(w) = -3*c(w) - 2*d(w). Suppose a(o) = 0. Calculate o.
-2, 1
Let y be 40/(-12) + (-4)/6. Let f be (2/y)/((-2)/16). Factor -3*l**3 - 2/3 + 7/3*l**f + 3*l - 5/3*l**2.
(l - 1)**2*(l + 1)*(7*l - 2)/3
Suppose -2*f + 5*y + 22 = -22, -2*y = -f + 20. Suppose 4*h + 4*p - 12 + 0 = 0, -f = -4*h + 4*p. Factor 1 - 6*r + r**3 - 3*r**3 - h - 6*r**2.
-2*(r + 1)**3
Let v = 20 + -7. Suppose -4*b = -v - 7. Solve -6/7*w**4 + 4/7*w**3 + 2/7 + 2/7*w**b - 6/7*w + 4/7*w**2 = 0.
-1, 1
Suppose -310*n - 9 = -313*n. Factor 2/3*u**n + 0*u - 4/3*u**2 + 0.
2*u**2*(u - 2)/3
Let -10/13*x - 6/13*x**2 + 2/13*x**4 + 2/13*x**3 - 4/13 = 0. Calculate x.
-1, 2
Let y be ((-24)/(-28))/((-15)/(-84)). Let b be (-96)/(-56)*(-21)/(-10). Solve -b*o**3 - 2*o**5 + 4/5*o**2 + 0 + y*o**4 + 0*o = 0 for o.
0, 2/5, 1
Suppose -48*x + 22*x + 130 = 0. Factor 0*j + 2/3*j**3 + 0*j**4 + 0 - 2/3*j**x + 0*j**2.
-2*j**3*(j - 1)*(j + 1)/3
Let c be (21/1 - 3)*2/15. Let y = 24/11 - 32/55. Suppose -2/5*h + 8/5*h**4 + 0 - 2/5*h**5 + y*h**2 - c*h**3 = 0. What is h?
0, 1
Let i(f) = f - 3. Let c be i(5). What is a in 6 + c*a**3 - 5 - 1 - 2*a = 0?
-1, 0, 1
Let b(n) = n**3 - n**2 - 3*n + 2. Let k be b(0). Let 0 + 1/2*p**4 - 1/2*p**k + 0*p + 0*p**3 = 0. What is p?
-1, 0, 1
Let d be (-5)/2*(-4)/2. Factor -2*h**d + h**5 - h**4 - h**4.
-h**4*(h + 2)
Let u(x) = 8*x**4 + 17*x**3 - 11*x**2 - 31*x + 27. Let i(s) = -s**4 - s**3 + s**2 - s. Let g(q) = 5*i(q) + u(q). Determine a so that g(a) = 0.
-3, 1
Factor 100/7 + 130/7*n + 8*n**2 + 8/7*n**3.
2*(n + 2)*(2*n + 5)**2/7
Let n(p) be the first derivative of p**9/10584 - p**7/2940 - p**3 - 5. Let b(y) be the third derivative of n(y). Suppose b(x) = 0. What is x?
-1, 0, 1
Factor 5*p**2 - 11*p + 307 - 9*p - 292.
5*(p - 3)*(p - 1)
Let b(o) = o**2 + o - 4 - 6*o - 4*o. Let u(x) be the third derivative of -x**5/60 + 5*x**4/12 + 5*x**3/6 - x**2. Let c(a) = -7*b(a) - 6*u(a). Factor c(d).
-(d - 2)*(d - 1)
Let d(b) be the third derivative of b**8/630 + 11*b**7/1260 + b**6/108 - b**5/90 - 4*b**3/3 - 8*b**2. Let i(t) be the first derivative of d(t). Solve i(k) = 0.
-2, -1, 0, 1/4
Let v = -11 + 26. Suppose 4*w + 4*l - 18 = 18, 4*w - 24 = 2*l. Let 7*u**2 - v*u - 8 - 9*u + w*u**2 = 0. Calculate u.
-2/7, 2
Let b = -4 + 6. Let q = b + 1. Factor -2*j - 2*j + j**2 + q*j.
j*(j - 1)
Let l(f) = -f - 4. Let c be l(-5). Suppose 9 = 5*z - c. Factor -3*y**2 + 2*y - 2 + z*y**2 + y + 0*y.
-(y - 2)*(y - 1)
Let y(g) = g**2 + 10*g. Let i(m) be the third derivative of m**5/60 + 19*m**4/24 + 8*m**2. Let s(u) = -4*i(u) + 7*y(u). Let s(z) = 0. Calculate z.
0, 2
Let b(k) = 2*k**2 + 8*k + 11. Let u(d) = -23*d + 9*d - 10*d**2 - 26*d - 56. Let f(j) = -16*b(j) - 3*u(j). Determine p, given that f(p) = 0.
-2
Let i(m) be the third derivative of -m**7/210 - m**6/60 + m**5/20 + m**4/6 - 2*m**3/3 + 6*m**2. Factor i(y).
-(y - 1)**2*(y + 2)**2
Let b(n) = 4*n**2 + 9*n - 3. Let a(t) = -3*t**2 - 8*t + 3. Let k(u) = 5*a(u) + 4*b(u). Determine i, given that k(i) = 0.
1, 3
Let q = 107 + -421/4. Let d be (-4)/8 + -2 + 3. Solve d*l + 0 - q*l**2 = 0 for l.
0, 2/7
Suppose -g**4 - 2*g**2 - 57*g + 3 + 27*g + 34*g - 4*g**3 = 0. Calculate g.
-3, -1, 1
Let k(u) be the first derivative of -u**2 - 6 + 2/3*u**3 - 4*u. Factor k(h).
2*(h - 2)*(h + 1)
Let r(z) = 2*z**2 + 3*z + 6. Let p(s) = -s - 1. Let w(x) = 6*p(x) + r(x). Let c(k) = 3*k**2 - 3*k. Let q(t) = -5*c(t) + 6*w(t). Factor q(g).
-3*g*(g + 1)
Let i be (28/21)/((-2)/(-3)). Factor 2 + a**3 + a - 2*a**3 - 6*a**2 + 4*a**i.
-(a - 1)*(a + 1)*(a + 2)
Suppose 15 = 13*s + 15. Let y(l) be the second derivative of 1/165*l**6 + 4*l + 1/22*l**5 + s - 1/231*l**7 - 4/11*l**2 - 1/66*l**4 - 8/33*l**3. Factor y(r).
-2*(r - 2)**2*(r + 1)**3/11
Determine s so that -2*s + 10*s**4 + 15*s**2 - 4*s**3 - 6*s - 45*s**2 + 8 = 0.
-1, 2/5, 2
Let j(r) be the third derivative of r**5/30 - r**4/4 + 8*r**2. Factor j(g).
2*g*(g - 3)
Let s(w) = w + 10. Let o be s(-7). Suppose -o*a + 12 = a. Solve -2/7*q + 6/7*q**a + 4/7 - 8/7*q**2 = 0.
-2/3, 1
Factor 0*n + 1/6*n**5 + 1/6*n**3 + 0 + 0*n**2 - 1/3*n**4.
n**3*(n - 1)**2/6
Let c(h) be the first derivative of -1/2*h**2 + 0*h - 1/360*h**6 - 1/72*h**4 - 1/90*h**5 + 1 + 0*h**3. Let s(j) be the second derivative of c(j). Factor s(u).
-u*(u + 1)**2/3
Let k(m) = -2*m**3 - 2*m**2 + m - 3. Let i(h) = -9*h**3 - 8*h**2 + 4*h - 13. Suppose o + 42 = 16. Let s(j) = o*k(j) + 6*i(j). What is p in s(p) = 0?
0, 1
Let v(l) be the first derivative of -10*l**5/3 + 55*l**4/6 + 112*l**3/9 + 4*l**2 + 4. Factor v(f).
-2*f*(f - 3)*(5*f + 2)**2/3
Let w be 4 - 3/(-4 - -1). Suppose -w*v = -8 - 32. What is a in -24*a**2 + 4 - v*a + 0 - 74*a**3 - 40*a**4 + 22*a = 0?
-1, -1/4, 2/5
Let s(j) = -3*j + 62. Let r be s(20). Factor 2/5*i**r - 2/5*i - 4/5.
2*(i - 2)*(i + 1)/5
Suppose 0 = -g - 5*d - 6, -5*d - 16 = -5*g - 7*d. Let z(q) be the first derivative of 0*q + 3 - 1/8*q**2 + 1/16*q**g - 1/20*q**5 + 1/12*q**3. Factor z(b).
-b*(b - 1)**2*(b + 1)/4
Suppose -5*r + 2 + 13 = 0. What is c in 0*c**2 + c**5 + 