2 + 9/4*z - i.
-3*(z - 2)*(z - 1)/4
Let l be (-13)/(455/(-14))*1. Factor -8/5*p**2 - 8/5*p**3 + 0 + 0*p - l*p**4.
-2*p**2*(p + 2)**2/5
Factor g**3 - 200*g**5 - 6*g**2 + 197*g**5 + 5*g**3 + 3*g**3.
-3*g**2*(g - 1)**2*(g + 2)
Factor -8/9*l**5 + 0*l + 0 - 16/9*l**4 - 2/3*l**2 + 22/9*l**3.
-2*l**2*(l + 3)*(2*l - 1)**2/9
Suppose -4*r - 4*m = -6 - 18, 4*r = 2*m. Let -3*l**r + 2*l - l**2 + 2*l**2 = 0. Calculate l.
0, 1
Let t(p) = 10*p**2 + 40*p + 40. Let n(k) = 5*k**2 + 20*k + 20. Let x(h) = -11*n(h) + 6*t(h). Factor x(z).
5*(z + 2)**2
Let j(k) = k + 2. Let w be j(-2). Let a(u) be the second derivative of 0*u**2 + 1/36*u**4 + w*u**5 + 0 + 0*u**3 - 1/90*u**6 - 2*u. Factor a(m).
-m**2*(m - 1)*(m + 1)/3
Suppose 3*y + 15 = -4*x, -3*y = -x + 7 + 8. Solve -1/4*u**3 - 1/4*u - 1/2*u**2 + x = 0 for u.
-1, 0
Let a(r) be the first derivative of r**4/34 - 2*r**3/51 - 2*r**2/17 + 8. Suppose a(x) = 0. What is x?
-1, 0, 2
Let z(j) = j**2 - j + 1. Let t be z(-1). Solve -b**t + 1/3*b**2 + 2/3*b**4 + 0*b + 0 = 0.
0, 1/2, 1
Let h(y) = -y**2 - 9*y + 6. Let p be h(-9). Let w(g) be the first derivative of -1 - 4*g**2 - 2/3*g**3 - p*g. Factor w(x).
-2*(x + 1)*(x + 3)
Let i(c) be the first derivative of 0*c**2 + 18/5*c**5 + 0*c + 2/3*c**3 + 3*c**4 + 1. Factor i(u).
2*u**2*(3*u + 1)**2
Let d(u) = u**2 - u + 1. Let f(o) = -o**2 - 1. Let k(q) = -2*d(q) - 3*f(q). Solve k(l) = 0.
-1
Suppose -x**2 + 35*x + 5*x**3 + 5 + 26*x**2 + 10 = 0. What is x?
-3, -1
Let d(q) be the second derivative of -4*q**7/231 + q**6/33 + 7*q**5/110 - q**4/33 + 12*q. What is u in d(u) = 0?
-1, 0, 1/4, 2
Let b be 0 + (-3 - (-1 + -2)). Suppose 2*g - g = b. Factor 0*p**3 - 2/3*p**2 + 2/3*p**4 + 0 + g*p.
2*p**2*(p - 1)*(p + 1)/3
Let d(l) be the second derivative of 0 + 1/4*l**4 + 0*l**2 + 2*l - l**3. Factor d(n).
3*n*(n - 2)
Let h(l) = -5*l**3 + 16*l**2 - 6*l + 6. Let d(g) = 55*g**3 - 175*g**2 + 65*g - 65. Let s(y) = 6*d(y) + 65*h(y). Find t such that s(t) = 0.
0, 2
Let y(x) = x**4 - x**3 + x**2 - x + 1. Let c(d) = -6*d**2 + 2*d - 2. Let k(w) = -2*c(w) - 4*y(w). Factor k(m).
-4*m**2*(m - 2)*(m + 1)
Let i(t) = t**3 - 9*t**2 - 9*t - 10. Let b be i(10). Determine z so that 2*z**2 - z**3 + b*z + 0*z**3 - z = 0.
0, 1
Let c(s) be the first derivative of s**6/3 - 12*s**5/5 + 13*s**4/2 - 8*s**3 + 4*s**2 + 9. Factor c(k).
2*k*(k - 2)**2*(k - 1)**2
Let t(q) = -74*q**2 - 2*q - 1. Let p be t(-1). Let i = p - -515/7. Determine u, given that 0 - 2/7*u**3 + i*u**2 + 0*u = 0.
0, 2
Let u(r) = -r**4 - r**3 + r**2 + 1. Let n be -5*(1 + 7/(-5)). Let w(p) = 3*p**4 - p**2 - 2. Let b(s) = n*u(s) + w(s). What is t in b(t) = 0?
0, 1
Let x(j) be the third derivative of j**7/70 - j**6/40 - j**5/5 + j**4/2 - 16*j**2. Let x(r) = 0. What is r?
-2, 0, 1, 2
Let g(a) be the second derivative of -a**4/3 - 4*a**3/3 + 6*a**2 + 10*a. Factor g(y).
-4*(y - 1)*(y + 3)
Let w(b) be the second derivative of -b**6/30 - b**5/20 + b**4/12 + b**3/6 - 8*b. Factor w(t).
-t*(t - 1)*(t + 1)**2
Let f(q) be the third derivative of 0*q**3 + 0 + 7/40*q**6 - q**2 + 4/35*q**7 + 1/10*q**5 + 0*q + 0*q**4 + 3/112*q**8. Factor f(y).
3*y**2*(y + 1)**2*(3*y + 2)
Let b be (2/12)/((-80)/(-12)). Let m(f) be the second derivative of -f + 0*f**2 - b*f**5 + 0 + 1/24*f**4 - 1/60*f**6 + 1/12*f**3. Solve m(c) = 0.
-1, 0, 1
Let k(m) be the third derivative of m**8/336 - m**7/42 + m**6/12 - m**5/6 + 5*m**4/24 - m**3/6 - 2*m**2. Suppose k(u) = 0. What is u?
1
What is x in 4/3*x**3 + 12*x**2 + 64/3 + 32*x = 0?
-4, -1
Let p(r) be the third derivative of r**5/15 - 8*r**4/3 + 128*r**3/3 - 22*r**2. Find d such that p(d) = 0.
8
Let i(q) be the first derivative of 2*q**3/15 + q**2/5 - 4*q/5 + 7. Factor i(u).
2*(u - 1)*(u + 2)/5
Let b(w) be the third derivative of -w**6/240 + w**5/60 + w**4/48 - w**3/6 - w**2. Factor b(k).
-(k - 2)*(k - 1)*(k + 1)/2
Let g = -1021/2 + 545. Let c = -34 + g. Solve 1/2*x + 1/2*x**2 - c*x**3 - 1/2 = 0.
-1, 1
Suppose -m - 3*m - 3*y - 58 = 0, 4*m = -2*y - 56. Let d = m + 15. Let 2/7*w**d + 0 + 0*w = 0. What is w?
0
Let h be -2 - (27*3)/(-3). Suppose 2*z + 3*z = h. What is x in 6*x + z*x + 3*x**2 - 4*x + 2 = 0?
-2, -1/3
Suppose 0 = 3*h - 7 + 1. Factor 9*z - 7*z + 5*z**4 - 5*z**h - z**3 - z**3.
z*(z - 1)*(z + 1)*(5*z - 2)
Let f = 10 - 7. Let o = f - 1. Factor -g - o*g**3 - 1 + 2*g**3 + g**3 + g**2.
(g - 1)*(g + 1)**2
Factor 1/3*z**3 + 13/3*z**2 + 12 + 16*z.
(z + 1)*(z + 6)**2/3
Let b(q) = -6*q - 7 - 7*q**2 + 2*q + 2*q. Let p(z) = -4*z - 15*z**2 - 6 - 6 - 3. Let a(d) = 13*b(d) - 6*p(d). Factor a(k).
-(k + 1)**2
Factor -1/9*a**2 + 0*a + 0.
-a**2/9
What is n in 9 - 2*n**2 + 0*n**2 + 8*n + 6 - 5 = 0?
-1, 5
Let p(t) = -t**3 - t**2 + t. Let g(q) = 5. Let i(x) = -4. Let c(l) = 5*g(l) + 6*i(l). Let y(d) = 2*c(d) + 2*p(d). Factor y(j).
-2*(j - 1)*(j + 1)**2
Let m(f) be the second derivative of 1/12*f**3 - f + 0 + 1/48*f**4 - 3/8*f**2. Solve m(l) = 0 for l.
-3, 1
Factor 1/5*g**3 - 1/5*g - 2*g**2 + 2.
(g - 10)*(g - 1)*(g + 1)/5
Let r(w) = -3*w**5 + 5*w**4 - 2*w**3 - 1. Let v(f) = f**4 - f**3 + 1. Suppose -5*a = 5*j + 10, -3*j - 14 = -2*a - 3*a. Let p(t) = a*v(t) + r(t). Factor p(u).
-3*u**3*(u - 1)**2
Let k(j) = 5*j**2 - 26*j - 25. Let x(a) = -14*a**2 + 77*a + 74. Let l(p) = -17*k(p) - 6*x(p). Determine c, given that l(c) = 0.
-19, -1
Let n be ((-3)/(-1))/(4 - (-10)/(-4)). Factor -2/5*g + 2*g**n + 0 + 6/5*g**4 - 14/5*g**3.
2*g*(g - 1)**2*(3*g - 1)/5
Let c(s) be the second derivative of -s**6/6 - s**5 - 5*s**4/2 - 10*s**3/3 - 5*s**2/2 - 20*s. Factor c(l).
-5*(l + 1)**4
Let j = -6 - 4. Let l be j/(-10) + 2/1. Factor 2*z - 5*z**2 + z**2 + l*z**2.
-z*(z - 2)
Let u = -7 + 10. Suppose -10 = -m - 5*n, 0 - 4 = -2*n. Determine w, given that w**u - w**5 - w + w**3 + m*w = 0.
-1, 0, 1
Let i = -957 - -10537/11. Factor -14/11*d**3 + i*d**2 + 6/11*d**4 - 2/11*d + 0.
2*d*(d - 1)**2*(3*d - 1)/11
Let r(g) = g + 8. Let l be r(-6). Determine k so that 2/9*k**3 + 0 + 2/9*k - 4/9*k**l = 0.
0, 1
Suppose -s**2 - 3*s**2 + 12 + 4*s - 4 = 0. Calculate s.
-1, 2
Let o be (-272)/28 + 5 + 5. Factor -2/7*j**4 + 2/7*j**2 + o*j - 2/7*j**3 + 0.
-2*j*(j - 1)*(j + 1)**2/7
Let y(d) be the first derivative of d**7/105 + d**6/60 - d**5/30 - d**4/12 - 3*d**2/2 + 3. Let s(x) be the second derivative of y(x). Factor s(b).
2*b*(b - 1)*(b + 1)**2
Let w = -24 - -26. Let b(d) be the first derivative of -2 - 1/2*d**w + 2/3*d - 5/9*d**3. Suppose b(l) = 0. What is l?
-1, 2/5
Let v(o) be the second derivative of -o**5/15 - 5*o**4/12 - 2*o**3/3 + 2*o**2 + 2*o. Let x(b) be the first derivative of v(b). Suppose x(h) = 0. Calculate h.
-2, -1/2
Let i(f) = -2 + 19*f**2 + 9*f + 4*f - 9*f**2 - 6. Let w(v) = v. Let u(l) = -i(l) - 3*w(l). Suppose u(b) = 0. Calculate b.
-2, 2/5
Let j(w) be the first derivative of -1/14*w**4 + 0*w**3 + 1 + 0*w + 0*w**2. Factor j(o).
-2*o**3/7
Let g(o) = 6*o**2 + 5. Let i(l) = -l**2 - 1. Suppose -z = 3*z - 5*b + 88, 5*z + 110 = -4*b. Let d(q) = z*i(q) - 4*g(q). Factor d(m).
-2*(m - 1)*(m + 1)
Suppose -14*n - 45 + 87 = 0. Suppose -21/5*s**n + 0*s + 6/5*s**2 - 21/5*s**4 + 0 + 36/5*s**5 = 0. What is s?
-2/3, 0, 1/4, 1
Let i(t) = t**2 + 6*t - 13. Let o be i(-8). Let f(q) be the second derivative of 0*q**o - 3*q + 1/40*q**5 + 1/120*q**6 + 1/48*q**4 + 0*q**2 + 0. Factor f(s).
s**2*(s + 1)**2/4
Let k(u) be the second derivative of u**8/672 + u**7/420 - u**6/180 + u**4/4 + 5*u. Let q(y) be the third derivative of k(y). Factor q(a).
2*a*(a + 1)*(5*a - 2)
Suppose 9*o - 3*v - 22 = 4*o, 5*o = -v + 6. Let -4*i**3 + 28*i**5 - 16*i**o + 36*i**4 - 12*i**3 - 20*i**2 - 8*i - 4*i**3 = 0. What is i?
-1, -2/7, 0, 1
Let n(g) = 19*g**2 + 11*g - 8. Let l be -1 - (0 + 2 - -3). Let u(j) = -5*j**2 - 3*j + 2. Let a(m) = l*n(m) - 22*u(m). Factor a(p).
-4*(p - 1)*(p + 1)
Let g(c) = -15*c**3 + 30*c**2 + 33*c - 9. Let t(y) = -14*y**3 + 29*y**2 + 32*y - 9. Let w(v) = -2*g(v) + 3*t(v). Find p, given that w(p) = 0.
-1, 1/4, 3
Let y(w) be the third derivative of -w**6/900 + w**4/180 + 16*w**2. Factor y(r).
-2*r*(r - 1)*(r + 1)/15
Let n(r) be the third derivative of -r**8/112 + 2*r**7/35 - 3*r**6/20 + r**5/5 - r**4/8 + 7*r**2 - r. Let n(o) = 0. Calculate o.
0, 1
Let l(m) = 5*m**2 - 18*m + 11. Let h be l(3). What is r in 2/3*r + 2/3*r**3 + 0 - 4/3*r**h = 0?
0, 1
Let o(t) be the first derivative of -t**4/6 - 8*t**3/9 - 4*t**2/3 + 6. Dete