i.
-2, -1
Let s(i) be the first derivative of -i**4 + 4*i**3/3 + 2*i**2 - 4*i - 13. Factor s(b).
-4*(b - 1)**2*(b + 1)
Let k(x) be the second derivative of -2*x - 1/30*x**4 + 0 - 1/50*x**5 + 2/15*x**3 + 0*x**2. Factor k(q).
-2*q*(q - 1)*(q + 2)/5
Let x(b) be the second derivative of -2*b**6/105 - 4*b**5/35 - b**4/7 + 8*b**3/21 + 8*b**2/7 - 32*b - 1. Suppose x(i) = 0. Calculate i.
-2, -1, 1
Let f(a) be the third derivative of 0*a - 1/45*a**5 + 1/315*a**7 + 1/504*a**8 + 1/9*a**3 + 0 + 1/36*a**4 - 1/90*a**6 + 2*a**2. Factor f(n).
2*(n - 1)**2*(n + 1)**3/3
Let c = 62/115 - -6/23. Suppose -5*n - a - 10 = -9*n, -2*n + 3*a = -10. Find j such that -6/5*j + c*j**n + 0 = 0.
0, 3/2
Suppose 59*u = 30*u. What is h in -1/2*h**5 - 1/2*h**4 + 0 + u*h**2 + 0*h + h**3 = 0?
-2, 0, 1
Factor -3*o**5 - 14*o**2 + 9*o**4 + 2*o**2 + 6*o**5.
3*o**2*(o - 1)*(o + 2)**2
Let a = 13 + -6. Let z(b) be the third derivative of 1/3*b**4 - 1/3*b**3 + 0*b - 1/5*b**5 - 1/105*b**a + 0 - b**2 + 1/15*b**6. What is q in z(q) = 0?
1
Let r be (3315/(-9))/5 + 0. Let k = -73 - r. Factor 0 + k*b**2 + 1/3*b**3 + 1/3*b.
b*(b + 1)**2/3
Let h be 6/24 - 13/4. Let u be h + -1*5/(-1). Factor 4 - 2*z**4 - 2 - 10*z**2 + 10*z**u - 4*z + 4*z**3.
-2*(z - 1)**3*(z + 1)
Let p = 13 + -58. Let j = p + 226/5. Determine t, given that -2/5 + 1/5*t + j*t**2 = 0.
-2, 1
Let u(y) be the second derivative of -y**8/4200 - y**7/1400 + y**5/600 - y**3 + y. Let d(w) be the second derivative of u(w). Factor d(x).
-x*(x + 1)**2*(2*x - 1)/5
Let k(c) = 8*c**4 - 4*c**3 - 8*c**2 - 8*c - 6. Let v(a) = 7*a**4 - 6 - 4*a + 1 - 7*a**2 - 3*a**3 - 3*a. Let w(j) = 5*k(j) - 6*v(j). Factor w(b).
-2*b*(b - 1)*(b + 1)**2
Let v(s) be the second derivative of s**6/360 + s**5/90 + s**4/72 - s**2/2 - 4*s. Let p(b) be the first derivative of v(b). Suppose p(q) = 0. What is q?
-1, 0
Let s(h) be the second derivative of 5*h**7/21 + 4*h**6/5 - 11*h**5/10 - 23*h**4/3 - 12*h**3 - 8*h**2 - 16*h. Let s(l) = 0. What is l?
-2, -1, -2/5, 2
Let b(z) be the first derivative of 0*z + 16/5*z**5 + 7 + z**3 + 3*z**4 + 1/8*z**2. Factor b(j).
j*(4*j + 1)**3/4
Let c(v) = 3*v**4 + 6*v**3 - 3*v**2. Let m be (10/(-6))/(3/9). Let p(b) = 3*b**4 + 5*b**3 - 3*b**2. Let o(f) = m*c(f) + 6*p(f). Factor o(r).
3*r**2*(r - 1)*(r + 1)
Let v(y) be the second derivative of -1/4*y**4 - 3/20*y**5 + 2*y + 1/2*y**3 + 0 - 3/2*y**2. Let n(x) be the first derivative of v(x). Factor n(d).
-3*(d + 1)*(3*d - 1)
Let d(b) be the third derivative of 1/300*b**6 + 0*b + 0*b**3 + 0 + 1/210*b**8 + 4*b**2 - 1/105*b**7 + 0*b**5 + 0*b**4. Factor d(l).
2*l**3*(l - 1)*(4*l - 1)/5
Let o be 3/(-3*1/(-5)). Let s be 11/o + 2/(-10). Factor m**s + 5*m - 7*m**2 - 4*m + 9*m**3.
m*(3*m - 1)**2
Let f be (2*-2)/4 - -9. Factor 0*z + 8*z**2 + 8*z - 10*z**2 - f.
-2*(z - 2)**2
Let h(w) = -w**2 - 10*w - 19. Let j be h(-8). Let d = -14/5 - j. Determine p so that 3/5*p - d + 4/5*p**2 = 0.
-1, 1/4
Let k(b) = -1. Let a(s) = -2*s**3 - 4*s**2 - 2*s + 2. Let l(i) = i**2. Let v be l(1). Let q be (0 - v) + 0/7. Let j(f) = q*a(f) - 2*k(f). What is p in j(p) = 0?
-1, 0
Let l be (-1)/2 + (-14)/(-4). Factor 0*d**2 - 4/7*d**l + 0*d - 4/7*d**5 - 8/7*d**4 + 0.
-4*d**3*(d + 1)**2/7
Let l(x) = x**3 - 5*x**2 + 3*x - 5. Let r be l(5). Let z be (1 - -1) + (-16)/r. Factor -2/5*g**2 - z + 4/5*g.
-2*(g - 1)**2/5
Let i(g) be the third derivative of 0 + 0*g - 1/12*g**5 - 1/18*g**3 + 2*g**2 - 1/40*g**6 - 7/72*g**4. Determine d, given that i(d) = 0.
-1, -1/3
Suppose 4*m - 9 = -0*m + 3*j, -2*m = 2*j + 6. Let s be 7 + -6 - (m - 1). Factor 3 - 6*x + 9*x**3 + 2*x**2 - 3 + 9*x**5 + 21*x**4 - 11*x**s.
3*x*(x + 1)**3*(3*x - 2)
Let g = 14 + -10. Suppose 3*i - g = 2. Let -2*r**2 + 2*r**2 - i*r**3 + 0*r**2 = 0. Calculate r.
0
Let x(l) be the second derivative of 1/6*l**7 + 0*l**2 + 0*l**3 + 2/5*l**6 + 3/20*l**5 - 1/6*l**4 + l + 0. Suppose x(s) = 0. What is s?
-1, 0, 2/7
Let s(k) be the first derivative of -2*k**3/3 - 8*k**2 - 32*k - 10. Factor s(h).
-2*(h + 4)**2
Let s = 51/70 - -1/14. What is c in 0*c - 2/5*c**4 + 0 + s*c**3 - 2/5*c**2 = 0?
0, 1
Solve -2*p**4 + 1 - 2*p**3 - 1/2*p**5 + p**2 + 5/2*p = 0.
-2, -1, 1
Factor 8*s**2 - 7*s**3 + 1 - 1/2*s**5 + 3*s**4 - 9/2*s.
-(s - 2)*(s - 1)**4/2
Let f(i) = 5*i**3 - 25*i**2 + 5*i - 5. Let d(g) = g**4 - g**2 - g + 1. Let q(c) = 5*d(c) + f(c). Factor q(b).
5*b**2*(b - 2)*(b + 3)
Let z = -89/255 + 13/34. Let g(u) be the second derivative of z*u**4 + 0 + 0*u**3 - u + 0*u**2 + 1/50*u**5. Let g(y) = 0. Calculate y.
-1, 0
Let m(u) be the third derivative of -u**7/420 + u**6/240 + u**5/40 - u**4/48 - u**3/6 + 2*u**2 - 45*u. Factor m(h).
-(h - 2)*(h - 1)*(h + 1)**2/2
Let t(w) = -1. Let q(y) = y**2 + 4*y + 6. Let h(g) = 3*q(g) + 6*t(g). Factor h(z).
3*(z + 2)**2
Let s(o) = -o - 1. Let j be s(-4). Let p(l) be the second derivative of 0 + l - 1/6*l**4 + 1/15*l**6 + 0*l**2 - 1/42*l**7 + 0*l**5 + 1/6*l**j. Factor p(h).
-h*(h - 1)**3*(h + 1)
Suppose 0 = -c + 3*a + 13, 3*a + 17 = 2*c - 0*a. Find k such that -k**4 + c*k**2 + 2*k**3 + 4*k**5 - 3*k**3 - 3*k**2 - 3*k**5 = 0.
-1, 0, 1
Factor 24/5 + 18/5*h + 3/5*h**2.
3*(h + 2)*(h + 4)/5
Let p = 56 + -56. Factor 9/5*q**3 - 6/5*q**4 - 3/5*q + 0*q**2 + p.
-3*q*(q - 1)**2*(2*q + 1)/5
Let y(v) be the first derivative of -v**3/3 + 3*v**2/2 + 4*v + 10. Find p, given that y(p) = 0.
-1, 4
Let o be 34/6 - (4 - -1). Factor o*x**2 + 0 - 2/3*x**4 + 2/3*x**3 - 2/3*x**5 + 0*x.
-2*x**2*(x - 1)*(x + 1)**2/3
Let d(a) = 3*a**2. Let w be d(1). Let b(i) = 2*i**2 + 22*i + 2. Let o be b(-11). Factor -6*s**3 - 3*s**5 - 5 + o + w*s + 6*s**2 - 3*s**4 + 6*s**5.
3*(s - 1)**3*(s + 1)**2
Factor 2*a + 2/5*a**2 + 0.
2*a*(a + 5)/5
Let b be -2 + (-2 - (-1 + -318)). Let p be 144/b - (-4)/10. Solve 4/7 - 4/7*c**2 - p*c + 6/7*c**3 = 0.
-1, 2/3, 1
Let l(s) be the first derivative of s**2 + 0*s - 1/8*s**4 + 0*s**3 - 5. Factor l(i).
-i*(i - 2)*(i + 2)/2
Suppose -9*t + 6 = -12. Let g(c) be the second derivative of -2*c + 1/3*c**4 + 0 + c**3 + c**t. Factor g(m).
2*(m + 1)*(2*m + 1)
Let r(j) be the second derivative of -3*j - 1/6*j**3 + 0 - 1/36*j**4 + 0*j**2. Factor r(z).
-z*(z + 3)/3
Let a be (-64)/(-36) - (-4)/18. Suppose 2*n + 8 = a*s, 0 = -s - 2*n - 5 + 3. Factor -3*z**3 + 2*z**3 - 2*z**3 - 4*z**s + 5*z**3.
2*z**2*(z - 2)
Suppose 7*y + 5 = 3*y + 5*c, 2*y - c + 1 = 0. Factor -2/3*j**4 + y*j - 2/3*j**3 + 0 + 0*j**2.
-2*j**3*(j + 1)/3
Let y(s) be the second derivative of -s**4/4 + 2*s**3 - 9*s**2/2 + 3*s. Solve y(n) = 0.
1, 3
Let r(j) = j**3 - 18*j**2 + 16*j + 19. Let z be r(17). Let y(g) be the first derivative of 2 + 2/33*g**3 + 4/11*g**z + 8/11*g. Determine k so that y(k) = 0.
-2
Factor 0 - 2/7*o**2 + 2/7*o**3 + 0*o.
2*o**2*(o - 1)/7
Let s(i) = 3*i - 75. Let k be s(25). Find b such that k*b + 2/9*b**2 - 2/9 = 0.
-1, 1
Let d be (24/(-48))/(-1 + -6). Let t(r) be the first derivative of 1/7*r**2 + 2/7*r - 2/21*r**3 - d*r**4 + 2. Factor t(q).
-2*(q - 1)*(q + 1)**2/7
Suppose 0 = -8*p + p + 5*p. Suppose -2/9*x**2 + p - 4/9*x = 0. What is x?
-2, 0
Let g be (10/9)/(5/15). Let w = -3 + g. Let 4/3*i**3 + 1/3 + w*i**4 + 2*i**2 + 4/3*i = 0. Calculate i.
-1
Let z(n) be the second derivative of n**5/15 - 2*n**4/3 + 8*n**3/3 + 3*n**2/2 - 7*n. Let t(h) be the first derivative of z(h). Find w such that t(w) = 0.
2
Factor -1/9*k + 0 - 1/9*k**3 + 2/9*k**2.
-k*(k - 1)**2/9
Let d be (-1)/(1 - 13) - (-9)/36. Let u(w) be the first derivative of -1/6*w**4 - d*w**2 + 0*w - 3 + 4/9*w**3. What is c in u(c) = 0?
0, 1
Let y(l) = -l**3 - l**2 - 1. Let u(h) = 7*h**3 + 17*h**2 + 24*h + 21. Let n(p) = u(p) + 5*y(p). Factor n(w).
2*(w + 2)**3
Let t(a) = 8*a + 4 + 0 + 0 + 9*a**2. Let r(o) = 4*o**2 + 4*o + 2. Let h(z) = -5*r(z) + 2*t(z). Determine l so that h(l) = 0.
-1
Let f(m) be the first derivative of 3*m**5/5 + 7*m**4/4 - 2*m**2 - 5. Find g, given that f(g) = 0.
-2, -1, 0, 2/3
Let a be (5/(-1))/5 + 1443/1440. Let c(j) be the third derivative of -1/120*j**5 + 1/12*j**3 + 0*j - j**2 - a*j**6 + 1/96*j**4 + 0. What is y in c(y) = 0?
-2, -1, 1
Let h be (-21)/(-12) + (-2)/(-8). Suppose -l - 4 = -h*l. Factor -2 + l*b + 3 + b**2 - 6*b.
(b - 1)**2
Let n be (-12)/8 + (-17)/(-2). Let f(o) be the third derivative of 0*o**3 - 1/300*o**6 + 0*o**4 + 1/525*o**n + 0*o**5 + o**2 + 0*o + 0. Factor f(b).
2*b**3*(b - 1)/5
Suppose -13*i**2 - 6*i - 2*i + 16 + 1