 + 2*j - c. Factor 0*a + d + 0*a**2 + 1/5*a**3.
a**3/5
Let m(c) = -c**5 - 6*c**4 + c**3 + 8*c**2 - 2*c + 2. Let l(r) = 6*r**4 - 9*r**2 + 3*r - 3. Let i(t) = -2*l(t) - 3*m(t). Suppose i(u) = 0. What is u?
-2, -1, 0, 1
Let s(w) be the third derivative of w**5/150 - w**4/6 + 5*w**3/3 - 17*w**2. Suppose s(p) = 0. What is p?
5
Let s be (-18)/(-8) + -2 + (-22)/(-8). Find b, given that 2*b**2 + 4/3*b**5 + 0 + 13/3*b**s + 1/3*b + 4*b**4 = 0.
-1, -1/2, 0
Suppose -20/11*u**2 + 16/11*u + 90/11*u**4 + 0 - 86/11*u**3 = 0. Calculate u.
-4/9, 0, 2/5, 1
Let 0*o + 2/11*o**3 + 0 - 2/11*o**2 = 0. Calculate o.
0, 1
Let l(d) be the second derivative of d**6/30 + d**5/5 + d**4/6 - 2*d**3/3 - 3*d**2/2 + 26*d. Factor l(r).
(r - 1)*(r + 1)**2*(r + 3)
Let o(r) be the third derivative of -r**7/840 + 7*r**6/480 - r**5/30 - r**4/6 - 38*r**2 - 1. Determine x so that o(x) = 0.
-1, 0, 4
Let k = 22 - 14. Factor r**3 + 5*r**3 + 4*r**4 + 0*r - 2*r**4 - k*r.
2*r*(r - 1)*(r + 2)**2
Let b(a) be the second derivative of a**5/50 - a**4/30 - 2*a**3/15 + 43*a. Factor b(g).
2*g*(g - 2)*(g + 1)/5
Find t, given that -8/3*t**4 + 8/3*t**2 + 0 - 4/3*t + 4/3*t**5 + 0*t**3 = 0.
-1, 0, 1
Let r be (-798)/(-35) - 2/(-10). Let z = r - 21. Factor k**4 + 0 + k**3 + 0*k + 1/3*k**5 + 1/3*k**z.
k**2*(k + 1)**3/3
Suppose -4*q - 6*r + 5*r + 23 = 0, 2*r - 1 = q. Let b(j) be the second derivative of -j - 1/10*j**q - 1/6*j**4 + 1/3*j**3 + 0 + j**2. Factor b(o).
-2*(o - 1)*(o + 1)**2
Let a(j) be the first derivative of 2*j**6/3 + 12*j**5/5 - 16*j**3/3 + 8. Factor a(q).
4*q**2*(q - 1)*(q + 2)**2
Factor 10*z**2 - 2*z**4 - 28*z**3 + 6 + 60*z - 3*z**4 + 8*z**3 - 51.
-5*(z - 1)**2*(z + 3)**2
Let l(g) be the third derivative of -g**7/840 - g**6/360 + g**5/120 + g**4/24 - 5*g**3/6 - 5*g**2. Let c(n) be the first derivative of l(n). Factor c(h).
-(h - 1)*(h + 1)**2
Let o be (8/56)/((-2)/(-7)). Let x(p) be the first derivative of -1 + 7/6*p**3 + 1/2*p**4 - 1/2*p + o*p**2. Factor x(z).
(z + 1)**2*(4*z - 1)/2
Factor -2/9*b**3 + 2/9*b**2 + 2/9*b - 2/9.
-2*(b - 1)**2*(b + 1)/9
Let n be 4 - ((-5328)/15 + -1). Let u = n + -359. Let u + 3/5*k**2 + 9/5*k = 0. Calculate k.
-2, -1
Suppose 0 = 4*d + 7 - 19. Suppose d*s - 8 = -2. Let v(n) = 2*n**2 - n - 4. Let j(w) = 2*w**2 - 4. Let k(p) = s*v(p) - 3*j(p). Factor k(m).
-2*(m - 1)*(m + 2)
Suppose -2*m + 4*a = 12, -2*a = -2*m + a - 12. Let d = m + 9. Determine z so that -128/7*z**5 - 20/7*z + 40/7*z**d + 50/7*z**2 - 160/7*z**4 + 2/7 = 0.
-1, 1/4
Suppose -3*f + 4*t = 2*f + 124, 4*f - t = -97. Let q be (28/f)/(4/(-6)). Solve -5/4*b**3 + 0*b + q*b**4 - 1/2*b**2 + 0 = 0.
-2/7, 0, 1
Let m(w) be the third derivative of w**5/100 - w**4/40 - 4*w**2. Find x such that m(x) = 0.
0, 1
Let i(b) = -b**2 + 1. Let r(x) = 3*x**2 + 4*x + 2. Let n(k) = 2*i(k) + r(k). Factor n(m).
(m + 2)**2
Let n(k) be the first derivative of 0*k - 8/27*k**3 - 1/6*k**4 + 4/45*k**5 + 1/27*k**6 + 4/9*k**2 - 2. Determine f, given that n(f) = 0.
-2, 0, 1
Let t(o) be the third derivative of -o**5/20 - 5*o**4/8 + o**2. Factor t(r).
-3*r*(r + 5)
Factor 4/5*h**3 + 0 - 4/5*h**2 + 4/5*h**4 - 4/5*h.
4*h*(h - 1)*(h + 1)**2/5
Determine q so that -2*q**5 + 0*q**3 + 12*q**3 + 3064*q**2 - 6*q**4 - 3048*q**2 = 0.
-4, -1, 0, 2
Let p = -54 + 58. Let f(w) be the first derivative of -p + 1/25*w**5 + 0*w - 1/5*w**2 + 0*w**4 - 1/5*w**3. What is o in f(o) = 0?
-1, 0, 2
Factor -9*z**5 + 8*z**2 - 9*z**5 + 14*z**5 + 12*z**3.
-4*z**2*(z - 2)*(z + 1)**2
Factor 2*x**2 - 5*x**4 - 3 + 4*x**2 + 2*x**4.
-3*(x - 1)**2*(x + 1)**2
Let u(h) be the first derivative of -9/4*h**4 - 2 + 9/2*h**2 - 12/5*h**5 - 3*h + 5*h**3. Solve u(o) = 0.
-1, 1/4, 1
Let d be -7*2/4*-2. Suppose 0*x - 5*x + d = -4*f, 5*f + 5*x = 25. Let 0*j - 2/11*j**3 - 4/11*j**f + 0 = 0. What is j?
-2, 0
Let g(a) = a**2 - 33*a + 165. Let l be g(6). Factor -16*x - 1/3*x**l - 4*x**2 - 64/3.
-(x + 4)**3/3
Factor -2*t**2 - 13*t - 153 - 9 - 23*t.
-2*(t + 9)**2
Let k = 3 + -7. Let l be (10/(-80))/(2/k). Solve -l*s**3 + 0*s**2 + 0*s + 0 + 1/4*s**4 = 0.
0, 1
Let y(j) be the first derivative of -j**6/6 + j**5/5 + 3*j**4/4 - j**3/3 - j**2 - 2. Suppose y(x) = 0. What is x?
-1, 0, 1, 2
Let s(x) be the third derivative of 3*x**2 + 0*x + 1/660*x**6 + 0*x**4 + 1/330*x**5 + 0*x**3 - 1/1155*x**7 + 0 - 1/1848*x**8. Factor s(h).
-2*h**2*(h - 1)*(h + 1)**2/11
Let j be (1*4)/(-2*(-3 - -2)). Determine o so that 0*o + 1/3*o**j + 0 = 0.
0
Factor 0 + 0*q + 0*q**2 + 3/7*q**3 + 3/7*q**4.
3*q**3*(q + 1)/7
Suppose -2*f - 2*f + r + 63 = 0, -5*f - 5*r = -110. Suppose -5*y = 3*i - f, -2*y + 2 = -0. Suppose -2/3*n**i + 0*n + 0 - 2/3*n**2 + 4/3*n**3 = 0. What is n?
0, 1
Let o(k) be the third derivative of -k**6/48 - 7*k**5/120 - k**4/24 + 10*k**2. Find b such that o(b) = 0.
-1, -2/5, 0
Suppose -6 = -4*h + h. Factor -h*g**2 - 2*g**5 + 6*g**3 - g**3 - 3*g**3 + 2*g**4.
-2*g**2*(g - 1)**2*(g + 1)
Factor v**3 + 4*v - 2*v**2 + 4*v**2 - 7*v + 4*v.
v*(v + 1)**2
Factor 18/5*g**5 + 0 - 24*g**2 + 236/5*g**3 + 18/5*g - 24*g**4.
2*g*(g - 3)**2*(3*g - 1)**2/5
Suppose -9/4*g**3 + 3/4 + 9/4*g + 3*g**4 - 15/4*g**2 = 0. What is g?
-1, -1/4, 1
Factor -3 + 45*v - 39*v**2 - 3 + 1 - 1.
-3*(v - 1)*(13*v - 2)
Suppose -4*f + 3*n = -2*n + 12, -3*f = 3*n - 18. Find u, given that 0 + 1/5*u**f + 0*u = 0.
0
Let s(g) be the second derivative of g**4/4 - 3*g**3/2 + 3*g**2 + 2*g. Factor s(y).
3*(y - 2)*(y - 1)
Factor -3*w**3 + 3/2 + 7/2*w - 5/2*w**4 + w**2 - 1/2*w**5.
-(w - 1)*(w + 1)**3*(w + 3)/2
Let l(y) be the second derivative of -6*y + 0 + 1/28*y**4 + 3/140*y**5 + 0*y**2 + 0*y**3. Determine c, given that l(c) = 0.
-1, 0
Let v(f) = 2*f**3 + 2*f**2 - 3*f. Let q(h) = 3*h**3 + 3*h**2 - 5*h. Suppose -4*x + 7 + 5 = 0. Let k(z) = x*q(z) - 5*v(z). Factor k(c).
-c**2*(c + 1)
Let y be (12 + -2)*(-5)/(-10). Suppose -22/9*c**2 - 4/9*c - 10/9*c**y + 0 - 14/3*c**3 - 34/9*c**4 = 0. Calculate c.
-1, -2/5, 0
Let f = -90 - -183/2. Factor -6*p**2 + 1 - f*p - 7/2*p**3.
-(p + 1)**2*(7*p - 2)/2
Suppose 2*p - 58 = -8. Let -p*r + 50*r**5 - 27*r - 82*r**2 - 2*r**3 + 4*r - 8 + 90*r**4 = 0. Calculate r.
-1, -2/5, 1
Suppose 0 = z + 4*v - 15, -15 = 3*v - 8*v. Factor 4*i**4 - 3 + 0*i**3 + 4*i - 2*i**2 + 1 - 6*i**z + 2*i.
2*(i - 1)**2*(i + 1)*(2*i - 1)
Let 0 + 2*a**2 - 1/2*a = 0. Calculate a.
0, 1/4
Let u be 1 + 0 + (-4713)/33. Let v = u + 142. Factor v*x**2 + 2/11*x - 2/11*x**4 - 2/11*x**3 + 0.
-2*x*(x - 1)*(x + 1)**2/11
Let m(i) = -2*i - 10. Let o be m(-7). Let g = 7 - o. Factor 0 + 0*z**2 - 1/5*z + 1/5*z**g.
z*(z - 1)*(z + 1)/5
Find a such that 3/5*a + 1/5*a**2 + 2/5 = 0.
-2, -1
Let n(t) = -5*t + 2*t**2 + 1 + 4 + 3*t - 9*t**2. Let a(y) = 8*y**2 + 2*y - 6. Let z(d) = -6*a(d) - 7*n(d). Solve z(s) = 0.
-1
Let d be (11/(-2))/(21/(-42)). Let m = -32/3 + d. Solve 0 - f**4 + 1/3*f**5 - 2/3*f + f**2 + m*f**3 = 0.
-1, 0, 1, 2
Let g(x) = 3 - 2*x**2 - 2 - 2*x - x**3 + x**2. Let a(f) = -f**3 - f**2 - 3*f + 1. Let j(r) = 3*a(r) - 4*g(r). Factor j(o).
(o - 1)*(o + 1)**2
Let s be -9 - 1 - (3 + -6). Let a(k) = -k**4 + 9*k**3 - 8*k**2 - 7. Let c(w) = w**4 - 8*w**3 + 7*w**2 + 6. Let d(u) = s*c(u) - 6*a(u). Factor d(x).
-x**2*(x - 1)**2
Let c(u) = -4*u + 35. Let s be c(8). Factor -10/3*z**s - 26/3*z**2 + 8/3 - 8/3*z.
-2*(z + 1)*(z + 2)*(5*z - 2)/3
Let w(p) be the third derivative of p**6/60 - p**5/15 + p**4/12 + 4*p**2. Determine k, given that w(k) = 0.
0, 1
Let f(v) be the third derivative of v**7/560 + v**6/960 - v**5/60 + v**4/48 - 13*v**2. Factor f(i).
i*(i - 1)*(i + 2)*(3*i - 2)/8
Let 9/5 + 21/5*y + 3/5*y**3 + 3*y**2 = 0. Calculate y.
-3, -1
Let m be 4 + 1/(10/(-36)). Determine s so that -1/5*s**2 - m*s + 0 = 0.
-2, 0
Suppose 10*y**2 - 2*y**5 + 8*y**4 - y**5 + 5*y - 2*y**5 - 18*y**4 = 0. Calculate y.
-1, 0, 1
Let i be 1/((17/85)/(4/50)). Let -2/5*m**2 + 2/5*m**4 + 0 + i*m**5 - 2/5*m**3 + 0*m = 0. Calculate m.
-1, 0, 1
Let b(a) be the third derivative of a**8/11200 + a**7/2100 + a**6/1200 - a**4/12 + 2*a**2. Let d(c) be the second derivative of b(c). Solve d(u) = 0 for u.
-1, 0
Let m(q) be the second derivative of -1/90*q**5 + 11/27*q**3 - q + 0 + 2/9*q**4 - 4/135*q**6 + 2/9*q**2. Let m(a) = 0. What is a?
-1, -1/4, 2
Let p be (6 + -4 + -1)*-3. Let h be p/(-45) - 2/(-6). Factor -h*b**2 + 2/5 + 0*b.
-2*(b - 1)*(b + 1)/5
Suppose 23 = 5*b + 4*y - 32, -2*b - y = -19. Suppose 5*m + 10 = -g - b