 5*k(i). Factor j(f).
-(f + 2)**3
Let i(r) = r**3 + 7*r**2 - 7*r + 8. Let f be i(-8). Let o be (15/6)/((-2)/(-4)). Factor 1/3*n - 1/3*n**o - 2/3*n**4 + 0 + f*n**3 + 2/3*n**2.
-n*(n - 1)*(n + 1)**3/3
Factor -12*w + 0 - 405*w**3 - 126*w**2 - 729/2*w**4.
-3*w*(3*w + 2)*(9*w + 2)**2/2
Suppose 17*b**2 + 20*b**2 + 2*b - 43*b**2 = 0. Calculate b.
0, 1/3
Let o = 52 + -48. Let r(p) be the first derivative of -p - 1/2*p**2 + 7/2*p**o + 2*p**3 + 1/2*p**6 + 2 + 11/5*p**5. What is m in r(m) = 0?
-1, 1/3
Let v(f) be the first derivative of 4/3*f**3 + 11 + 64*f - 16*f**2. Suppose v(d) = 0. Calculate d.
4
Suppose 6*b + n - 18 = 2*b, -2*n + 20 = 4*b. Suppose 4 + 2 = 2*a. Factor 5*y**a + 0*y + y**2 + 25/4*y**b + 0.
y**2*(5*y + 2)**2/4
Factor 150*l + 129*l**2 + 16*l**2 + 16 - 20*l**2 + 29.
5*(5*l + 3)**2
Let u(t) be the first derivative of t**9/9072 - t**8/5040 - t**7/1260 - t**3/3 - 2. Let c(l) be the third derivative of u(l). Factor c(k).
k**3*(k - 2)*(k + 1)/3
Let z(m) be the first derivative of -2*m**5/75 - m**4/30 + 2*m**3/9 - m**2/5 - 11. Suppose z(i) = 0. What is i?
-3, 0, 1
Find f, given that 48/7*f**3 + 0 - 75/7*f**5 + 0*f + 12/7*f**2 + 15/7*f**4 = 0.
-2/5, 0, 1
Let r(w) be the second derivative of w**7/336 - w**6/80 + 3*w**5/160 - w**4/96 - 16*w. Factor r(f).
f**2*(f - 1)**3/8
Let -28*q + 24 + 4*q**4 - 33*q**2 + 21*q**2 + 7*q**3 + 5*q**3 = 0. Calculate q.
-3, -2, 1
Let g be (-3 - (0 + -5)) + 1/1. Let o(q) be the first derivative of -1/8*q**4 + 1/6*q - 1/18*q**g + 1/4*q**2 + 1. Factor o(j).
-(j - 1)*(j + 1)*(3*j + 1)/6
Let i = 15 + -12. Suppose 4/3 - 1/3*n**i - 8/3*n + 5/3*n**2 = 0. Calculate n.
1, 2
Let f(m) be the third derivative of m**7/840 + m**6/120 + m**5/48 + m**4/48 + 12*m**2 + 2*m. Factor f(y).
y*(y + 1)**2*(y + 2)/4
Suppose -2*h + 18*h = 12*h. Suppose 5*r = 4*d + 16, 11 + 2 = 2*r + 5*d. Factor 1/5*g**r - 2/5*g + 2/5*g**3 + h*g**2 - 1/5.
(g - 1)*(g + 1)**3/5
Let c be (-124)/(-10) - (-10)/(-25). Let v be 62/14 + c/(-4). Suppose -22/7*i**2 + 8/7 - 26/7*i**3 + 16/7*i + v*i**5 + 2*i**4 = 0. What is i?
-2, -1, -2/5, 1
Let v be 2*((-9)/6)/(-1). Let t(o) be the first derivative of -2*o + 4*o**2 - 2*o**4 + 2 + 2/3*o**v. What is l in t(l) = 0?
-1, 1/4, 1
Let x(o) be the first derivative of 4*o**5/5 - 4*o**3 - 4*o**2 - 60. Factor x(k).
4*k*(k - 2)*(k + 1)**2
Let k be (18/(-45))/(1/(-5)). Suppose 0 = -2*y + 5*v + 8, -5*v + 16 = 3*y + y. Find w, given that -5*w**2 - 2*w**3 + 0*w**4 + 3*w**2 + k*w + 2*w**y = 0.
-1, 0, 1
Let j(v) be the third derivative of -2*v**7/105 - v**6/15 + v**5/5 - 21*v**2. Factor j(u).
-4*u**2*(u - 1)*(u + 3)
Let j(h) be the third derivative of -h**6/24 - h**5/6 - 5*h**2. Factor j(l).
-5*l**2*(l + 2)
Let w = 5 + -4. Suppose -w = v - 6. Let 3*m**2 - 2*m**3 + v*m**2 - 6*m**2 - 2*m**4 + 2*m = 0. What is m?
-1, 0, 1
Let t be 104/195 + 6/45. Find j such that -t*j**3 + 16/3 + 2/3*j**4 - 4*j**2 + 8/3*j = 0.
-2, -1, 2
Factor -39/5*w + 36/5 + 3/5*w**2.
3*(w - 12)*(w - 1)/5
Suppose -5*y - 3*f - 3 = 9, 0 = -3*y - 5*f - 20. Determine r, given that 1/4*r + y + 5/8*r**2 = 0.
-2/5, 0
Let m(w) = w**5 + 2*w**4 + w**3 + 2*w**2 + 2. Let x(f) = -2*f**5 - 2*f**4 - 2*f**3 - 3*f**2 - 3. Let t(z) = 3*m(z) + 2*x(z). Solve t(d) = 0.
0, 1
Let p = 93 + -90. Determine v so that 1/6*v**5 - 1/3*v + 5/6*v**2 + 0 - 1/2*v**p - 1/6*v**4 = 0.
-2, 0, 1
Let k(c) = 5*c**2 - 6*c - 4. Let p(y) = y**2 - y. Let u(v) = -3*v**2 + 3*v - 2. Let n(g) = 6*p(g) + u(g). Let b(r) = -4*k(r) + 7*n(r). Let b(s) = 0. What is s?
-2, -1
Let n be 14/7 - 0*(-2)/(-4). Let g(b) be the third derivative of -1/420*b**6 + 0 + 0*b**4 + 0*b + 0*b**3 - 1/210*b**5 + n*b**2. Factor g(d).
-2*d**2*(d + 1)/7
Let n(f) be the third derivative of -f**6/90 - 2*f**5/15 - f**4/2 - 8*f**3/9 + 11*f**2. Factor n(s).
-4*(s + 1)**2*(s + 4)/3
Let r(u) = 4*u - 70. Let t be r(18). Let z(i) be the second derivative of -1/10*i**4 - 1/5*i**t - 2*i + 1/5*i**3 + 1/50*i**5 + 0. Find p, given that z(p) = 0.
1
Let s = -15 + 17. Let 5 + 2*l**2 + s*l**2 - 9 = 0. Calculate l.
-1, 1
Suppose 2*r - 6*r + 8 = 0. Suppose 3*d + 0*d - r*d - 3*d + 2*d**2 = 0. Calculate d.
0, 1
Factor 3*f**2 - 5*f + 29*f**2 - 5*f**3 - 15*f - 12*f**2.
-5*f*(f - 2)**2
Let l = 112 - 110. Let i(k) be the second derivative of 1/18*k**4 - 2*k + 1/3*k**l + 2/9*k**3 + 0. Factor i(r).
2*(r + 1)**2/3
Let x(v) be the third derivative of v**7/315 - v**6/90 - v**5/30 + v**4/9 + 4*v**3/9 - v**2 + 16*v. Let x(w) = 0. What is w?
-1, 2
Let l = 20 - 17. Let u(w) be the first derivative of 1/10*w**4 - 2/15*w**l - 3 - 1/5*w**2 + 2/5*w. Factor u(j).
2*(j - 1)**2*(j + 1)/5
Let b(j) be the third derivative of j**4/12 + 4*j**3/3 - 7*j**2. Let q be b(-4). Solve q - 8/5*v**2 + 2/5*v**3 + 8/5*v = 0 for v.
0, 2
Solve -2/7*h**2 + 0 - 2/7*h = 0.
-1, 0
Let x(k) be the third derivative of -k**7/210 + k**6/40 - k**5/30 - 3*k**2 - 2*k. Factor x(r).
-r**2*(r - 2)*(r - 1)
Let b(d) be the third derivative of 1/48*d**5 + 0*d**4 + 0*d + 0 - d**2 + 0*d**3. Suppose b(s) = 0. Calculate s.
0
Factor -2/9*n**4 + 4/9*n**2 + 0*n**3 - 2/9 + 0*n.
-2*(n - 1)**2*(n + 1)**2/9
Let z = -280599/173840 + 43/848. Let v = 3/82 - z. Suppose 4*m**2 + 2/5*m**5 + 2/5*m**3 - 16/5 - 8/5*m - v*m**4 = 0. What is m?
-1, 2
Suppose 2*b - 5*v = -3*b - 50, 3*b + 5*v = -30. Let f be (12/b)/((-42)/30). Determine m, given that f*m**2 - 6/7*m + 2/7 - 2/7*m**3 = 0.
1
Let j(u) be the first derivative of 1/3*u**2 + 0*u**4 + 0*u - 4/9*u**3 + 4/15*u**5 - 1/9*u**6 - 3. Suppose j(c) = 0. What is c?
-1, 0, 1
Let n(z) = 5*z**3 + z**2 - z. Let w be n(1). Suppose 0 = 2*t - w*t. Determine s, given that 0 - 2/5*s**3 + 0*s**4 + t*s + 0*s**2 + 2/5*s**5 = 0.
-1, 0, 1
Let c be 2 - ((-8)/4 - -2). Let v(s) be the first derivative of 1/5*s**c + 1/15*s**6 + 0*s + 2 + 8/15*s**3 + 8/25*s**5 + 3/5*s**4. Factor v(t).
2*t*(t + 1)**4/5
Let m = -6 - -11. Let p be (-2)/(-3)*54/9. Let v(b) = 6*b**4 - 2*b**2 - 4*b. Let n(a) = -7*a**4 + a**3 + 3*a**2 + 5*a. Let s(h) = m*v(h) + p*n(h). Factor s(x).
2*x**2*(x + 1)**2
Suppose -42 + 2 = -20*z. Suppose 2/7*p**3 + 2/7*p**z - 4/7*p + 0 = 0. Calculate p.
-2, 0, 1
Factor -42*s**2 + 11*s**2 - 30 + 5*s**3 - 11*s**2 + 65*s + 2*s**2.
5*(s - 6)*(s - 1)**2
Factor 0*y**3 - 6*y**2 - 2*y**3 - y**3 + 6*y**4 + 3*y**5.
3*y**2*(y - 1)*(y + 1)*(y + 2)
Let w(v) be the second derivative of -v**7/126 - 2*v**6/45 - v**5/15 + v**4/18 + 5*v**3/18 + v**2/3 + 21*v. Factor w(n).
-(n - 1)*(n + 1)**3*(n + 2)/3
Let u(y) = -15*y**3 - 75*y**2 - 141*y - 81. Let s(c) = -3*c**3 - 15*c**2 - 28*c - 16. Let r(q) = -21*s(q) + 4*u(q). Let r(f) = 0. What is f?
-2, -1
Let v(f) be the second derivative of -f**10/60480 - f**9/15120 - f**8/13440 + f**4/4 + f. Let l(p) be the third derivative of v(p). Factor l(t).
-t**3*(t + 1)**2/2
Suppose s + 8 = -5*a, 0*s = 3*s + 4*a + 2. Suppose 0*o = s*o - 8. Suppose -h + h - 2 + 2*h**2 - 4*h + o = 0. Calculate h.
1
Let p be 80/960 + (1 - (-2)/(-6)). Factor 3/4*d**2 - p + 3/4*d - 3/4*d**3.
-3*(d - 1)**2*(d + 1)/4
Let v be ((-1)/3)/((-4)/3). Suppose 5*b = -2*x + 14, -5*b + 4 = -3*b. Factor 0 - 1/4*u**4 + 0*u**3 + v*u**5 + 0*u**x + 0*u.
u**4*(u - 1)/4
Let l be 2/7 - 2/7. Let u(m) be the third derivative of l + 1/45*m**5 + 0*m + 0*m**3 + 1/180*m**6 + 1/36*m**4 + 3*m**2. Factor u(z).
2*z*(z + 1)**2/3
Let d(a) be the third derivative of a**6/60 - a**5/5 + a**4 - 8*a**3/3 - 16*a**2. Factor d(s).
2*(s - 2)**3
Let h(m) be the third derivative of m**8/672 - m**6/120 + m**4/48 - 10*m**2. Factor h(x).
x*(x - 1)**2*(x + 1)**2/2
Let j be 4/(-12)*(-9)/6. Factor j*l**4 + 0*l + 0 + 0*l**3 + 0*l**2.
l**4/2
Let i(t) be the second derivative of 0 - 1/18*t**4 + 8*t + 1/6*t**3 - 1/6*t**2. Factor i(z).
-(z - 1)*(2*z - 1)/3
Let f = -173/2 - -87. Let d(x) be the first derivative of -4/5*x**5 + 3/2*x**4 - 4/3*x**3 + 1/6*x**6 - 1 + 0*x + f*x**2. Factor d(h).
h*(h - 1)**4
Let d(o) be the third derivative of 0*o**3 - 1/12*o**4 + 0*o + 0 - 1/60*o**5 + 1/120*o**6 - o**2. Factor d(p).
p*(p - 2)*(p + 1)
Let s(j) be the third derivative of j**6/1080 - j**4/72 + j**3 + 6*j**2. Let k(i) be the first derivative of s(i). What is y in k(y) = 0?
-1, 1
Solve 0 - 1/4*n**2 + 3/2*n = 0.
0, 6
Suppose 4*l + 25 = 5*c, l - 5 = 6*c - c. Let g be (l/(-25))/(6/5). Suppose -g + m**3 + 5/3*m**2 - 4/3*m**4 - m = 0. What is m?
-1, -1/4, 1
Suppose 5*o = -0*o. Suppose o*l