ivative of 0*i - z*i**5 + 0*i**3 + 0 - 2*i**2 + 0*i**4. Factor r(m).
-m**2
Let m = 26 - 19. Let y(k) be the second derivative of 1/90*k**6 + k + 1/18*k**3 - 1/18*k**4 + 0 + 1/126*k**m - 1/30*k**5 + 1/6*k**2. Factor y(z).
(z - 1)**2*(z + 1)**3/3
Let h = 5 - 3. Find z, given that -2*z**4 + 4*z**2 - z**2 + 3*z**h - 4*z + 0*z**4 = 0.
-2, 0, 1
Let g be (-32)/((-22)/6 + 20/30). Factor 8/3*q**2 + g*q + 2/9*q**3 + 128/9.
2*(q + 4)**3/9
Suppose 10 = 5*j + s, -5*j - 3*s + 8*s = -40. Let y(t) be the third derivative of 0*t - 1/15*t**5 - t**2 - 1/9*t**j - 1/72*t**6 - 1/8*t**4 + 0. Factor y(h).
-(h + 1)**2*(5*h + 2)/3
Let t(z) be the first derivative of 81/10*z**5 - 2*z - 9*z**2 - 77/6*z**3 + 3 + 9/2*z**4. Solve t(u) = 0.
-1, -2/9, 1
Let y(n) = n**2 + 2*n - 1. Let k be y(-3). Let z be 10/(-15)*-1*3. Solve -c**k - 3*c**2 - 2*c**3 - c**4 + 3*c**z = 0 for c.
-1, 0
Let h = 138 - 134. Let r(g) be the third derivative of 0*g + 0 + 1/300*g**5 + 1/60*g**4 + h*g**2 + 1/30*g**3. Let r(i) = 0. What is i?
-1
Let b(r) be the second derivative of -r**6/900 - r**5/300 + r**4/30 - 2*r**3/3 - 2*r. Let y(s) be the second derivative of b(s). Suppose y(u) = 0. Calculate u.
-2, 1
Let h be (3/6)/((-1)/(-10)). Let a = h + -3. Factor -a*r**3 + 2*r + 4*r**2 - 2*r**2 - 4*r**2 + 1 + 1.
-2*(r - 1)*(r + 1)**2
Let b(i) be the third derivative of -i**6/180 - i**5/90 + i**4/36 + i**3/9 - 3*i**2. Factor b(u).
-2*(u - 1)*(u + 1)**2/3
Let i(k) = -k**2 - 6*k + 2. Let u be i(-6). Let s(x) be the first derivative of u - 2/15*x**3 - 4/5*x**2 - 8/5*x. Let s(w) = 0. What is w?
-2
Find f such that 1 + 0*f**2 + 1 - f**4 + 2*f**2 - 3 = 0.
-1, 1
Let z(d) = d**3 - d**2 - d. Suppose 5*j + 15 = 0, 4*o - 4*j = 5 - 1. Let n(x) = -2*x**3 + x**2 + 4*x + 2. Let i(h) = o*z(h) - 2*n(h). Factor i(a).
2*(a - 2)*(a + 1)**2
Let i be ((-1)/(-126))/((-24)/(-9) + -1). Let t(y) be the third derivative of 0*y + 1/60*y**6 - y**2 - i*y**7 + 0*y**5 - 1/12*y**4 + 1/6*y**3 + 0. Factor t(d).
-(d - 1)**3*(d + 1)
Let s(j) be the third derivative of j**9/7560 - j**8/1680 + j**7/1260 - j**4/8 - j**2. Let n(d) be the second derivative of s(d). Factor n(a).
2*a**2*(a - 1)**2
Suppose t + 638 = -4*r, -5*r + t = -t + 804. Let u = r + 803/5. Find y, given that -3/5*y**4 + 3/5*y**2 - u*y + 3/5*y**3 + 0 = 0.
-1, 0, 1
Let s(k) = 13*k**4 + 16*k**3 - 33*k**2 - 25*k + 11. Let y(t) = -3*t**4 - 4*t**3 + 8*t**2 + 6*t - 3. Let x(h) = -2*s(h) - 9*y(h). Factor x(q).
(q - 1)**2*(q + 1)*(q + 5)
Let p(m) be the third derivative of -m**6/540 + m**5/180 + m**3 - 8*m**2. Let a(o) be the first derivative of p(o). Factor a(w).
-2*w*(w - 1)/3
Suppose -f - 7*c + 15 = -4*c, c - 37 = -3*f. Suppose -2*w - 2*w = -f. Solve -4*m - m**2 + 2*m + w*m**2 = 0 for m.
0, 1
Let z = 119 - 116. Let q(u) be the second derivative of 1/12*u**4 + 0*u**2 - 1/30*u**6 + 0 - 2*u - 1/20*u**5 + 0*u**z + 1/42*u**7. Factor q(c).
c**2*(c - 1)**2*(c + 1)
Let m(a) be the first derivative of a**4/66 - 4*a + 2. Let n(s) be the first derivative of m(s). Let n(g) = 0. Calculate g.
0
Suppose 0 = 9*r - 67 - 149. Find v such that -16/3 - 20*v**2 - 14/3*v**3 - r*v = 0.
-2, -2/7
Let a(c) be the third derivative of -5*c**6/6 + 9*c**5/4 - 5*c**4/24 - 5*c**3 + 24*c**2. Factor a(w).
-5*(w - 1)*(4*w - 3)*(5*w + 2)
Let q be -2 - (2/(-2) + -4). Factor 4*m**4 - 4*m**4 + m**q - 2*m**4 + m**5.
m**3*(m - 1)**2
Let x(j) = j**3 - 2*j**2 - j - 4. Let u(t) = 1. Let f(i) = i**2 + 3*i + 2. Let z be f(-4). Let d be (-3)/z - (-3)/(-6). Let a(g) = d*x(g) - 6*u(g). Factor a(s).
-(s - 2)*(s - 1)*(s + 1)
Suppose -8*p - 6*p = 0. Let v(w) be the third derivative of 0*w**3 + p + 1/40*w**6 - 1/20*w**5 - 3*w**2 + 1/70*w**7 + 0*w + 0*w**4 - 1/112*w**8. Solve v(t) = 0.
-1, 0, 1
Let f(y) = -y**2 - 22*y + 77. Let m be f(-25). What is s in 48/7*s**4 + 0*s + 2/7*s**m + 32/7*s**5 + 18/7*s**3 + 0 = 0?
-1, -1/4, 0
Let j = 5 + -19/4. Let 0 + 1/2*y**2 + j*y + 1/4*y**3 = 0. What is y?
-1, 0
Let x(i) be the second derivative of 0*i**2 + 0 - 1/10*i**5 + 1/45*i**6 - 4*i + 0*i**3 + 0*i**4. Determine b so that x(b) = 0.
0, 3
Suppose 4*m = 11*m. Solve m + 1/2*t - 1/2*t**2 = 0.
0, 1
Let n(t) = -11*t**4 + 11*t**3 + 11*t**2 - 11*t - 9. Let z(y) = -3*y**4 + 3*y**3 + 3*y**2 - 3*y - 2. Let j(g) = -2*n(g) + 9*z(g). Factor j(x).
-5*x*(x - 1)**2*(x + 1)
Suppose -4*n - 4*l = -36, l = 4*n - 0*n - 16. Suppose 0 = -n*a - 0*a. Factor 1/4*s**2 - 1/4*s + a.
s*(s - 1)/4
Let v(r) be the first derivative of -r**5/150 - r**4/30 - r**3/15 + r**2 - 1. Let k(s) be the second derivative of v(s). Factor k(b).
-2*(b + 1)**2/5
Solve 10/7*o**3 - 4/7*o**2 + 2*o**4 + 0*o + 0 = 0.
-1, 0, 2/7
Factor 27/4*b + 3/4*b**2 + 6.
3*(b + 1)*(b + 8)/4
Let n(d) = d**3 + 3*d**2 - 4*d. Let q be n(-4). Let v = -831/7 - -119. Factor -2/7 + q*y + v*y**2.
2*(y - 1)*(y + 1)/7
Let t = 8 - 4. Suppose -3*z + 3 = -3*h, 3*h + t = z + 7. Factor m + m**5 - 2*m**z + 4 - 4.
m*(m - 1)**2*(m + 1)**2
Let n(b) be the first derivative of 0*b**3 - 2 + 0*b - 1/6*b**4 + 1/3*b**2. Let n(a) = 0. Calculate a.
-1, 0, 1
Let z(j) = 4*j**3 + 53*j**2 + 143*j + 73. Let g(c) = c**3 + 27*c**2 + 72*c + 37. Let d(a) = 7*g(a) - 3*z(a). Solve d(l) = 0 for l.
-1, 8
Suppose 0 = -0*j + 5*j - 10. Factor 24 - 3*l**3 - 6*l**2 + 10*l - j*l + 4*l.
-3*(l - 2)*(l + 2)**2
Let x(m) = m**2 - 5*m + 3. Let f be x(5). Factor -q - 4*q**f + 6*q**3 - q**3.
q*(q - 1)*(q + 1)
Factor 19*j**2 - 6*j**2 - 6*j**2 - 6*j**2 + 6*j + 9.
(j + 3)**2
Let g(i) = 2*i**3 + 6*i**2 + 2. Let v be g(-3). Factor 0 + 1/2*n**v - n.
n*(n - 2)/2
Let j be (-5 + 7)*(-6)/(-9). Solve 2*x**4 + 2/3*x**3 - j - 6*x - 6*x**2 = 0.
-1, -1/3, 2
Let v(u) be the first derivative of 13/4*u**4 - 7/4*u**2 + u - 5 + 7/4*u**6 - 2*u**3 + 5*u**5. Find f such that v(f) = 0.
-1, 2/7, 1/3
Let r(x) = 5*x**3 - 6*x**2 - 6*x + 6. Let v(i) = 4*i**3 - 5*i**2 - 5*i + 5. Let z(f) = 5*r(f) - 6*v(f). Determine q so that z(q) = 0.
0
Let u(k) be the second derivative of k**4/54 + 11*k**3/27 - 4*k**2/3 + 29*k. Factor u(y).
2*(y - 1)*(y + 12)/9
Factor 2/5*z + 0 + 1/5*z**3 + 3/5*z**2.
z*(z + 1)*(z + 2)/5
Let q(x) be the third derivative of 0*x**3 - 1/24*x**4 + 0 - x**2 - 1/120*x**6 + 1/30*x**5 + 0*x. Determine b, given that q(b) = 0.
0, 1
Let x(i) be the second derivative of -i**6/2160 - i**5/360 - i**3/2 - 6*i. Let s(a) be the second derivative of x(a). Factor s(d).
-d*(d + 2)/6
Let u be (20/15)/(2/6). Suppose 0 = -v - 3*s + 5, -v - u*v + 6 = -4*s. Factor -2*d**4 - 2/3*d**v - 2*d**3 + 0*d + 0 - 2/3*d**5.
-2*d**2*(d + 1)**3/3
Let d(o) be the third derivative of o**5/20 - 3*o**4/8 + o**3 - 3*o**2. Suppose d(u) = 0. What is u?
1, 2
Let j(b) be the first derivative of -2*b**5/35 + b**4/14 - 26. Factor j(w).
-2*w**3*(w - 1)/7
Suppose -2*s + 6*s = 2*s. Let n(l) be the third derivative of 0*l + 0 + 0*l**4 + s*l**3 + l**2 + 1/60*l**5. Factor n(a).
a**2
Let n(h) be the third derivative of -h**6/180 - h**5/45 + h**4/36 + 2*h**3/9 + 4*h**2. Let n(b) = 0. Calculate b.
-2, -1, 1
Let j(q) = -4*q**2 - q. Let l(d) be the first derivative of -d**3/3 + 3. Let k(z) = -2*j(z) + 10*l(z). Factor k(w).
-2*w*(w - 1)
Let m(h) be the second derivative of -h**4/3 - 4*h**3 - 10*h**2 - 3*h. Factor m(l).
-4*(l + 1)*(l + 5)
Let w(k) be the third derivative of 7*k**7/1080 - 7*k**6/540 + k**5/90 + k**4/12 - 2*k**2. Let l(c) be the second derivative of w(c). Factor l(q).
(7*q - 2)**2/3
Let n(k) = -k**3 + k**2 + 2*k - 1. Let o(f) = f. Let z(j) = n(j) - o(j). Factor z(l).
-(l - 1)**2*(l + 1)
Let o(s) be the second derivative of s**6/30 + 4*s**5/15 + 2*s**4/3 + 5*s**3/6 + s. Let a(c) be the second derivative of o(c). Determine l so that a(l) = 0.
-2, -2/3
Find p such that -26/7*p**3 + 12/7*p**4 - 2/7*p**5 - 8/7*p + 24/7*p**2 + 0 = 0.
0, 1, 2
Let z(l) be the second derivative of -l**7/210 - l**6/75 + l**4/30 + l**3/30 - 10*l. Determine s, given that z(s) = 0.
-1, 0, 1
Factor -5*j**2 - j**3 - j**2 - 4 + 3*j**3 + 10*j - 2*j**2.
2*(j - 2)*(j - 1)**2
Let d be 2 + (99/(-21) - -3). Suppose -5*w + 4*u + 22 = -1, 4*u + 8 = 0. Factor 2/7*v - 2/7*v**4 - d*v**w + 0 + 2/7*v**2.
-2*v*(v - 1)*(v + 1)**2/7
Let m(f) be the first derivative of -f**6/180 + f**5/90 + 2*f**2 - 5. Let r(j) be the second derivative of m(j). Solve r(b) = 0 for b.
0, 1
Suppose -5*l - 5*p - 25 = -2*l, -4*l + p + 5 = 0. Factor 4/5*q**2 + 0*q + l*q**3 - 2/5*q**4 - 2/5.
-2*(q - 