-3*j*(j + 1)/5
Let c(q) be the first derivative of q**4/4 - 2*q**3/3 - 2*q**2 + 8*q - 2. Suppose c(l) = 0. Calculate l.
-2, 2
Suppose 0 = -y - 4*y. Suppose y = -m - 2*m + 6. Find k such that -4*k + 0*k**3 - 2 - 2 - m*k + 2*k**3 = 0.
-1, 2
Let v(d) be the third derivative of -22*d**7/105 - 31*d**6/30 - 9*d**5/5 - 5*d**4/6 + 4*d**3/3 + 17*d**2. Factor v(u).
-4*(u + 1)**3*(11*u - 2)
Let q = -1/76 - -17/570. Let h(r) be the second derivative of -q*r**6 + 1/8*r**4 - 1/40*r**5 + 2*r + 1/12*r**3 - 1/2*r**2 + 0. Solve h(i) = 0 for i.
-2, -1, 1
Let l = -6 + 8. Solve 3*a**3 + 5*a**3 - 2*a**2 - 8*a - l*a**3 - 6*a**2 = 0.
-2/3, 0, 2
Let y(c) be the second derivative of -1/48*c**4 + 1/168*c**7 + 0 + 0*c**2 + 0*c**3 + 5*c - 1/80*c**5 + 1/120*c**6. Factor y(k).
k**2*(k - 1)*(k + 1)**2/4
Let j be (315/6)/7*6. Let g = j + -223/5. Suppose g*m + 0 + 6/5*m**3 - 2/5*m**4 - 6/5*m**2 = 0. Calculate m.
0, 1
Let b(z) be the first derivative of -5*z**4/4 + 10*z**3/3 + 5*z**2/2 - 10*z + 1. Let b(l) = 0. What is l?
-1, 1, 2
Let f(b) be the second derivative of -b**7/42 - 3*b**6/10 - 31*b**5/20 - 17*b**4/4 - 20*b**3/3 - 6*b**2 - 15*b. Factor f(p).
-(p + 1)**2*(p + 2)**2*(p + 3)
Let t be 4 + (-5037)/1260 + 0. Let j(x) be the third derivative of t*x**7 + 0*x**4 + 0*x**5 + 0*x**3 + 0 + 1/240*x**6 + x**2 + 0*x. Factor j(h).
h**3*(h + 1)/2
Find d, given that -12/5*d**2 - 21/5*d + 6/5 = 0.
-2, 1/4
Let z(s) = s**3 + 10*s**2 + 10*s + 11. Let w be z(-9). Suppose w*j = -j. Find r, given that -2/5*r**2 + 0 + j*r = 0.
0
Let n be (4*1)/((-2)/3). Let y be (n/18)/((-2)/12). Factor 0*p**2 + 4*p + 2*p**y - 2*p.
2*p*(p + 1)
Let b(k) = -1. Let n(i) = -2*i**2 - 18*i - 19. Let o(z) = -3*b(z) + n(z). Factor o(y).
-2*(y + 1)*(y + 8)
Determine s, given that -625 - 4*s**3 - 75*s**2 - 397*s + 22*s - s**3 = 0.
-5
Let m(q) be the first derivative of 2*q**3/15 + 2*q**2/5 + 2*q/5 + 5. Factor m(s).
2*(s + 1)**2/5
Let l(n) be the second derivative of 0 - 3*n + 1/9*n**3 + 0*n**2 - 1/18*n**4. Suppose l(s) = 0. What is s?
0, 1
Suppose -2*d = -5*d + 3288. Determine m so that -2916*m**3 + 1236*m**2 - 711*m**2 + 32 + d*m**2 + 323*m**2 - 432*m = 0.
2/9
Let k be (-4)/30 + (-8)/(-24). Factor -3/5*p**3 - 3/5*p**4 + 0 + 0*p - 1/5*p**5 - k*p**2.
-p**2*(p + 1)**3/5
Let u = 18/5 - 16/5. Let k(a) be the first derivative of u*a**5 + 0*a**2 - 1/2*a**4 + 0*a**3 - 1 + 0*a. Solve k(b) = 0 for b.
0, 1
Let z = 3 - 1. Let f be 1*(1 - (1 - z)). Let 0*v**3 + 2 - v**3 + v - 4*v**2 + 2*v**f = 0. Calculate v.
-2, -1, 1
Let g(i) be the second derivative of i**7/1260 - i**6/135 + i**5/45 + i**3/3 + 3*i. Let z(h) be the second derivative of g(h). Factor z(p).
2*p*(p - 2)**2/3
Factor 1/5*x + 2/5*x**4 + 0*x**3 + 0 - 1/5*x**5 - 2/5*x**2.
-x*(x - 1)**3*(x + 1)/5
Suppose -12 = -4*s + 12. Suppose -s*i - 2 = -7*i. Factor -1/3 - 8*h**3 - 16/3*h**4 - 1/3*h**2 + i*h.
-(h + 1)**2*(4*h - 1)**2/3
Let g(v) be the second derivative of v**6/630 + v**5/420 - v**3 + 2*v. Let h(r) be the second derivative of g(r). Factor h(n).
2*n*(2*n + 1)/7
Let n(m) = -m**2 - 7*m - 13. Let c(l) = 2*l + 4. Let u(p) = -14*c(p) - 4*n(p). What is q in u(q) = 0?
-1, 1
Let s(m) = 4*m**3 - 24*m**2 - 54*m - 48. Let c(z) = 9*z**3 - 49*z**2 - 108*z - 95. Let r(o) = 6*c(o) - 13*s(o). Factor r(k).
2*(k + 3)**3
Suppose n = 4*t - 8, -5*n + 3*t = 11 + 12. Let i(s) = 4*s + 6. Let f(m) = m**2 - 3*m - 7. Let g(z) = n*f(z) - 6*i(z). Let g(o) = 0. What is o?
-2, -1
Let y(v) be the second derivative of 5*v**6/8 + 3*v**5/40 - 5*v + 1. Find l such that y(l) = 0.
-2/25, 0
Let l = 99/2 - 49. Factor l + m + 1/2*m**2.
(m + 1)**2/2
Suppose -4*s = 3*b + 3, -s + 32 = -5*b + 4. Solve -6*l**2 - 2*l**3 - 3*l - 4*l**3 + 0*l**2 + 3*l**s = 0.
-1, 0
Let -79*i - 150*i**2 - 2 + 17*i**3 - 66*i - 28 - 52*i**3 = 0. Calculate i.
-3, -1, -2/7
Let a(m) = 4*m**3 - m - m**2 - 2*m**3 - 5 + 0*m**3. Let y(w) = 2*w**3 - 2*w**2 - 4. Suppose 3*n - 55 = -8*n. Let d(o) = n*y(o) - 4*a(o). Factor d(v).
2*v*(v - 2)*(v - 1)
Factor 0*k**2 + 0*k + 0 - 4/5*k**3 - 2/5*k**4.
-2*k**3*(k + 2)/5
Suppose 18*s - 22*s = 0. Factor 3/5*n**3 + 12/5*n + s + 12/5*n**2.
3*n*(n + 2)**2/5
Let t(o) be the second derivative of -8/15*o**3 + 8/5*o**2 - 2/25*o**5 + 0 - 5*o - 7/15*o**4. Find f such that t(f) = 0.
-2, 1/2
Let n(g) be the second derivative of g**6/10 - 3*g**4/4 + g**3 + g. Let n(a) = 0. Calculate a.
-2, 0, 1
Let o(l) be the first derivative of l**6/480 - l**5/120 - l**4/96 + l**3/12 - l**2 - 1. Let n(b) be the second derivative of o(b). Find g, given that n(g) = 0.
-1, 1, 2
Let k = 1222 + -9763/8. Let s = 71/24 - k. Solve -s*u**2 + 4/3 - 2/3*u**3 + 2/3*u = 0 for u.
-2, -1, 1
Let f(u) be the second derivative of -u**7/105 - u**6/75 + u**5/50 + u**4/30 + 9*u + 2. Suppose f(c) = 0. What is c?
-1, 0, 1
Let s = 1/564 + -23705/9588. Let g = s + 346/85. Factor -1/5*d**4 + 4/5 - g*d + d**3 + 1/5*d**2 - 1/5*d**5.
-(d - 1)**3*(d + 2)**2/5
Let q(r) be the third derivative of 1/4*r**4 - 1/20*r**5 - 1/2*r**3 + 0*r + 7*r**2 + 0. Determine i, given that q(i) = 0.
1
Let g(c) be the second derivative of -c**7/3780 + c**6/180 - c**5/20 - c**4/4 + 3*c. Let j(n) be the third derivative of g(n). Determine x so that j(x) = 0.
3
Let h be (-8)/(-6)*(-24)/4. Let f be (8 - 5)*h/(-6). Solve 3*k**2 + k - 4 + k**3 + 1 + 2*k + f = 0.
-1
Let x(l) be the third derivative of 4*l**7/105 + 3*l**6/20 + l**5/5 + l**4/12 - 2*l**2. Factor x(k).
2*k*(k + 1)**2*(4*k + 1)
Let l be 3 + (-3 - -5) + -2. Suppose 1 - o + 2*o - o**l + o**2 - 2 = 0. What is o?
-1, 1
Let h(g) be the first derivative of 2*g**3/3 - 11*g**2 + 32. Solve h(u) = 0 for u.
0, 11
Factor 75*m**4 + 2*m**2 - 83*m**4 - 4*m**5 + m**3 + 9*m**5.
m**2*(m - 1)**2*(5*m + 2)
Find q, given that 6*q**2 - 7 + 11*q**2 - 18*q**2 - 8*q = 0.
-7, -1
Let r(t) = -2*t. Let a be r(1). Let y be 3 - ((-39)/(-9) + a). Find b such that -4/3*b**2 - 2/3*b**3 - y*b + 0 = 0.
-1, 0
Factor m + 2*m**2 + 7*m + 2 - 4*m.
2*(m + 1)**2
Let q(x) = -x**2 - 8*x + 2. Let d = -9 + 1. Let k be q(d). Let -2*p**4 - 2*p**k + 15*p**3 - 4*p**2 - 7*p**4 = 0. What is p?
0, 2/3, 1
Let j = 15 - 12. Let v(z) be the first derivative of z**2 - 1/3*z**j + 0*z + 1. Suppose v(m) = 0. What is m?
0, 2
Let -28*h**3 + 32*h**2 - 5*h**5 + 4 + 5*h**4 + 3*h**5 + 7*h**4 - 18*h + 0*h**4 = 0. What is h?
1, 2
Let q(w) = 15*w**3 + 110*w**2 - 105*w - 5. Let z(s) = -8*s**3 - 56*s**2 + 52*s + 3. Let v(g) = -3*q(g) - 5*z(g). Factor v(m).
-5*m*(m - 1)*(m + 11)
Let i be (16/(-6))/(-4) - 222/360. Let t(d) be the first derivative of -1 + i*d**4 + 0*d**3 + 0*d - 1/10*d**2. What is f in t(f) = 0?
-1, 0, 1
Let r be (-1)/4*(-6)/2. Factor 1/4 - 1/4*j**3 + r*j**2 - 3/4*j.
-(j - 1)**3/4
Let z(h) be the first derivative of h**5/120 - h**4/24 - 7*h**2/2 - 9. Let x(b) be the second derivative of z(b). Factor x(i).
i*(i - 2)/2
Let u(p) = 0*p + 3*p**2 - 6 + 4 - p**3 + 5*p. Let c be u(4). Factor -10/7*n**3 + 4/7*n**4 + 8/7*n**c + 0 - 2/7*n.
2*n*(n - 1)**2*(2*n - 1)/7
Let g be 3 + (5 - (8 - 3)). Factor 0 - 2/9*l**4 + 0*l + 0*l**g + 0*l**2 - 2/9*l**5.
-2*l**4*(l + 1)/9
Let q(n) be the first derivative of 3*n**4/32 + 8. Factor q(c).
3*c**3/8
Determine n so that -5*n**2 - 2*n**4 + 2*n + 20*n**3 - n**2 - 14*n**3 + 0*n**4 = 0.
0, 1
Let l = -8 + 11. Factor l*z**3 - z**2 - z**3 - z**2 - 2*z**2.
2*z**2*(z - 2)
Suppose -2*j - 2*j = -3*t + 4, 0 = -2*t - 5*j - 5. Factor 1/3*u + t + 1/6*u**2.
u*(u + 2)/6
Let x(j) = j - 4. Let a be x(0). Let m = 4 + a. Factor 1/4*k**3 - 1/4*k + 1/4*k**2 - 1/4*k**4 + m.
-k*(k - 1)**2*(k + 1)/4
Let r(j) be the first derivative of j**3 - 21*j**2/2 + 30*j - 21. Factor r(x).
3*(x - 5)*(x - 2)
Suppose -4*o = 2*r - 10, 5*r + 1 = 4*o - 2. Solve -d**o + 2*d - 1 + d**2 - d**2 = 0.
1
Let t**2 + 2/3 - 5/3*t**4 + 7/3*t - 7/3*t**3 = 0. What is t?
-1, -2/5, 1
Let o be (-6)/(-4) + (-3)/(-6). Suppose -6 = d - 4*d. Determine r, given that 1 - 2*r**3 + r - r**4 - 3*r**2 + r**5 + r**o + d*r**4 = 0.
-1, 1
Suppose j**2 - 24*j**4 + 23*j**4 - 2*j**3 + 7*j**2 = 0. Calculate j.
-4, 0, 2
Let x(b) = -b**4 + b**3 + b**2 - b - 1. Let v(g) = 4*g**4 - 2*g**3 - 6*g**2 + 2*g + 5. Let c(i) = v(i) + 3*x(i). Factor c(z).
(z - 1)**2*(z + 1)*(z + 2)
Suppose 4*a + 8 = 4*k, 4*a + 8 = -a + 4*k. Determine n, given that 3/7*n**2 + 0*n + a - 3/7*n**3 = 0.
0, 1
Let m(p) = 3*p**2 + 2*p + 4. Let r(k) = 13*k**2 + 7*k + 15. L