 m such that c(m) = 0.
-2, -1, 1
Suppose -3*c - 3*h = -0*h, -3*h = 0. Factor 4/5*j**4 - j**3 + 0 - 1/5*j**5 + 2/5*j**2 + c*j.
-j**2*(j - 2)*(j - 1)**2/5
Factor -8/5*w**2 - 2*w - 4/5 - 2/5*w**3.
-2*(w + 1)**2*(w + 2)/5
Let c = -17 - -21. Solve 0*k**c + 2/7*k + 2/7*k**5 + 0 - 4/7*k**3 + 0*k**2 = 0.
-1, 0, 1
Let j = 1/249 + 989/1743. Factor 2/7*a**2 + 0 + j*a.
2*a*(a + 2)/7
Suppose 17*b - 51 + 0 = 0. Let -1/2*p**b + 0*p - 2 + 3/2*p**2 = 0. What is p?
-1, 2
Let r(i) = 11*i**2 - 8*i - 19. Let t(a) = 5*a**2 - 4*a - 9. Let d(f) = -3*r(f) + 7*t(f). Solve d(m) = 0.
-1, 3
Let o(l) = 6*l**5 - 5*l**4 - 15*l**3 + 24*l**2 - 10*l. Let d(n) = n**5 - n**2. Let r(p) = d(p) - o(p). Factor r(y).
-5*y*(y - 1)**3*(y + 2)
Let u = 11 - 11. Let o(p) be the second derivative of -3/40*p**5 + u*p**2 + 0 + 1/60*p**6 + 1/8*p**4 - p - 1/12*p**3. Determine a so that o(a) = 0.
0, 1
Let k(v) = -4*v**4 + 6*v**3 + 12*v**2 - 18*v + 8. Let o(w) = 4*w**4 - 7*w**3 - 12*w**2 + 17*w - 8. Let y(p) = -3*k(p) - 2*o(p). Factor y(b).
4*(b - 1)**3*(b + 2)
Let g(q) = 3*q**4 + 9*q**2 + 5*q - 7. Let l(u) = 5*u**4 + 14*u**2 + 8*u - 11. Let w(p) = 8*g(p) - 5*l(p). Suppose w(s) = 0. What is s?
-1, 1
Let y(c) be the third derivative of -1/20*c**5 + c**2 + 0*c - 1/2*c**4 - 2*c**3 + 0. Find f, given that y(f) = 0.
-2
Let z be (-1)/((-1)/(-3)*60/(-40)). Factor 0*a + 1/2*a**z + 0.
a**2/2
Let x(y) be the third derivative of y**8/672 - y**7/60 + y**6/15 - y**5/15 - y**4/3 + 4*y**3/3 + 14*y**2. Factor x(u).
(u - 2)**4*(u + 1)/2
Let d(b) be the second derivative of b**10/241920 - b**9/60480 + b**7/10080 - b**6/5760 + b**4/12 + 3*b. Let a(h) be the third derivative of d(h). Factor a(z).
z*(z - 1)**3*(z + 1)/8
Let w be 3 + ((-20)/(-5))/(-4). Let c(o) be the second derivative of -1/3*o**4 + 2/15*o**5 - 1/3*o**w + 2*o - 1/45*o**6 + 0 + 4/9*o**3. Factor c(i).
-2*(i - 1)**4/3
Determine m, given that 0 + 0*m - 3/2*m**3 + 3/2*m**2 = 0.
0, 1
Solve 561*g**4 - 80*g**2 - 1172*g**4 - 45*g - 10 - 70*g**3 - 5*g**5 + 581*g**4 = 0.
-2, -1
Suppose -8/3*t + 4*t**2 - 8/3*t**3 + 2/3 + 2/3*t**4 = 0. Calculate t.
1
Let u(c) be the second derivative of -c**10/20160 - c**9/10080 - c**4/2 - 5*c. Let b(t) be the third derivative of u(t). Factor b(r).
-3*r**4*(r + 1)/2
Let v(p) be the first derivative of -p**5/10 + p**4/4 - p**3/6 - 5. Suppose v(r) = 0. What is r?
0, 1
Let a(g) = 6*g**5 + 3*g**4 - 6*g**3 - 3*g**2 - 3*g. Let v(l) = -7*l**5 - 4*l**4 + 7*l**3 + 4*l**2 + 4*l. Let j(f) = 4*a(f) + 3*v(f). Factor j(n).
3*n**3*(n - 1)*(n + 1)
Let i(x) be the second derivative of 0*x**3 - 1/48*x**4 + 1/120*x**5 + 2*x + 1/2*x**2 + 0. Let q(g) be the first derivative of i(g). Factor q(r).
r*(r - 1)/2
Suppose p = -0*l - 4*l + 25, -3*l = 5*p - 40. Let u(q) be the third derivative of -2*q**2 + 0*q + 0*q**3 + 0 - 1/30*q**p + 0*q**4. Factor u(y).
-2*y**2
Let n = 6 - 5. Suppose 0*j + 2*j + n - 8*j + 3 + 2*j**3 = 0. Calculate j.
-2, 1
Let n(d) = -44*d**2 - 36*d. Let x(a) = -9*a**2 - 7*a. Let w(s) = -5*n(s) + 24*x(s). Factor w(k).
4*k*(k + 3)
Let q be (-4)/(-8)*-2*1. Let r be q/((-4)/9) - 2. Factor 0*k**2 + r*k**3 + 0 + 0*k.
k**3/4
Let p(w) = -w - 8. Let u be p(-6). Let y be (1 + u)/((-1)/4). Determine z so that 8*z - 5*z**2 + 3*z**2 - 4 - y = 0.
2
Let r(j) = 11*j**2 - 13*j + 9. Let v(t) = 5*t**2 - 6*t + 4. Let s(y) = -y**3 + 3*y**2 + 4*y + 4. Let g be s(4). Let u(d) = g*r(d) - 9*v(d). Factor u(x).
-x*(x - 2)
Let h(r) = r - 15. Let a be h(11). Let u = 4 + a. Suppose 0*y**2 - 2/3*y**3 + 0*y + u + 2/3*y**4 = 0. Calculate y.
0, 1
Find v such that -8/7*v - 12/7*v**4 - 32/7*v**3 - 4*v**2 + 0 = 0.
-1, -2/3, 0
Let d(h) = h**3 + h**2 + h + 2. Let m be d(0). Factor -2 - 10*t**2 + m + 0 + 4*t**3 + 8*t - 2.
2*(t - 1)**2*(2*t - 1)
Let f(v) = 0*v**2 + 10*v**4 + 0*v**4 - 6*v**2 - v**4. Let a(b) = -b**4 - b**3 + b**2. Let r(j) = 6*a(j) + f(j). Let r(t) = 0. What is t?
0, 2
Let h(x) = x**2 - 5*x - 9. Let n be h(7). Factor -9*b**4 - 3*b**2 + 6*b**4 - 3*b**n - 6*b**4 - 9*b**3.
-3*b**2*(b + 1)**3
Let r be ((-1)/(-3))/(2/12). Let g be 0/(-1) + (-1 - -4). Factor g*p**3 + 0*p**3 + r*p**4 - 4*p**4 - p**3.
-2*p**3*(p - 1)
Let c(m) = m**2 + 5*m - 64. Let a be c(6). Let x(k) be the second derivative of 1/8*k**4 + 1/4*k**3 + 0*k**2 + a*k + 0. Factor x(r).
3*r*(r + 1)/2
Suppose -3*t + 6 = -0*t. What is b in 2*b**4 - 5*b**2 - 3*b + t*b + 3*b**2 + b**5 = 0?
-1, 0, 1
Let n(q) be the third derivative of q**8/336 + q**7/105 - q**5/30 - q**4/24 + 7*q**2. Factor n(k).
k*(k - 1)*(k + 1)**3
Suppose d - 2*y = -4 + 8, 0 = -3*y. Solve 0*t**2 - 56/9*t**d - 4/9 - 22/9*t + 82/9*t**3 = 0 for t.
-2/7, -1/4, 1
Factor -2/3 - 2/3*i + 1/6*i**3 + 1/6*i**2.
(i - 2)*(i + 1)*(i + 2)/6
Let h be (13/(-4) - -3)*-20. Factor -1/2*z**h + 0*z - 3*z**3 - z**2 + 0 - 9/4*z**4.
-z**2*(z + 2)**2*(2*z + 1)/4
Let b(v) be the first derivative of 4*v**3/3 - 2*v**2 - 24*v + 18. Factor b(q).
4*(q - 3)*(q + 2)
Let o = 16 - 11. Let d(s) be the first derivative of 4/35*s**o - 2 - 1/14*s**4 - 1/21*s**6 + 0*s**2 + 0*s + 0*s**3. Factor d(r).
-2*r**3*(r - 1)**2/7
Factor 35*g**5 - 8*g**2 + 10*g**2 - 42*g**2 - 150*g**4 + 180*g**3.
5*g**2*(g - 2)**2*(7*g - 2)
Let l = 34 + -34. Suppose l = -4*y - y. Suppose 3/5*a**2 - 3/5*a**3 + 0 - 3/5*a**4 + 3/5*a**5 + y*a = 0. Calculate a.
-1, 0, 1
Factor 2 - 7*b**2 - 6*b**3 + 3*b**3 + 2.
-(b + 1)*(b + 2)*(3*b - 2)
Suppose 0*q + 2*q + 3*w - 2 = 0, -5*w - 22 = -3*q. Solve 4*d + 3*d**3 - d**3 - q - 2 - 10*d**3 + 10*d**2 = 0.
-3/4, 1
Factor -16*f**2 - 20*f - 4*f**3 + 4 - 6 - 6.
-4*(f + 1)**2*(f + 2)
Let c(d) be the second derivative of -d**5/30 - d**4/12 + 3*d**2/2 + 3*d. Let w(q) be the first derivative of c(q). Factor w(o).
-2*o*(o + 1)
Let l(j) be the third derivative of -j**8/1008 - j**7/126 - j**6/45 - j**5/45 - 4*j**2. Determine h, given that l(h) = 0.
-2, -1, 0
Let b(a) = -a**3 + a**2 + 1. Let g(o) = -2*o**4 + 2*o**2 + 2. Let i(m) = -2*b(m) + g(m). Factor i(j).
-2*j**3*(j - 1)
Let j(n) be the first derivative of -4*n**3/15 + 6*n**2/5 - 8*n/5 + 9. Solve j(p) = 0 for p.
1, 2
Suppose 30 = 3*t + 2*t. Let w = t + -3. Factor w*p**2 - 3*p**2 - 2*p + p**2 + p**2.
2*p*(p - 1)
Let r be 4/(-8)*(3 - 3). Let h(o) be the second derivative of 1/24*o**4 + 0*o**3 + r*o**2 + o + 0. Suppose h(v) = 0. Calculate v.
0
Let u = 54 - 54. Let s(d) be the first derivative of 0*d**4 + 4/5*d**5 + d**2 - 4/3*d**3 - 1/3*d**6 + u*d - 1. Factor s(v).
-2*v*(v - 1)**3*(v + 1)
Solve 0*v - 1/5*v**4 + 0 - 2/5*v**3 - 1/5*v**2 = 0.
-1, 0
Let n(v) be the third derivative of v**5/360 + v**4/72 - v**3/12 + 4*v**2. Factor n(y).
(y - 1)*(y + 3)/6
Factor -1/4*i**3 - 3/4*i**2 + 3/4 + 1/4*i.
-(i - 1)*(i + 1)*(i + 3)/4
Let t(m) be the third derivative of -m**6/360 - m**5/30 - 5*m**4/72 + 16*m**2. Suppose t(a) = 0. What is a?
-5, -1, 0
Factor 0 + 7/5*y**2 + 3/5*y.
y*(7*y + 3)/5
Let p(k) = k**4 + 5*k**3 + 5*k**2 + k - 2. Let m(n) = 4*n**4 + 21*n**3 + 21*n**2 + 4*n - 9. Let t(s) = -4*m(s) + 18*p(s). Solve t(y) = 0 for y.
-1, 0
Let o(w) be the third derivative of -7*w**6/1080 - 2*w**5/45 - w**4/18 + w**3/3 - 4*w**2. Let s(j) be the first derivative of o(j). Factor s(b).
-(b + 2)*(7*b + 2)/3
Let x(k) = -3*k**4 - 6*k**3 - 4*k**2 + 6*k - 1. Let q(h) = 2*h**4 + 5*h**3 + 4*h**2 - 5*h. Let n(p) = -4*q(p) - 3*x(p). Factor n(v).
(v - 3)*(v - 1)*(v + 1)**2
Let c be 7*(-1)/(21/(-18)). Solve 3*j**3 - 3*j**3 - 6*j + c*j**2 - 3*j**3 + 3*j = 0.
0, 1
Let i(q) = -3*q**2 + 3*q + 12. Let t(v) = 3*v**2 - 3*v - 13. Let l(r) = 5*i(r) + 6*t(r). Factor l(k).
3*(k - 3)*(k + 2)
Let s be (-2)/2 - (-16)/2. Find x, given that -9/2*x**3 + s*x**5 + 0 + x**2 + 0*x + 3/2*x**4 = 0.
-1, 0, 2/7, 1/2
Let f(d) be the third derivative of d**6/360 - d**5/180 + 13*d**2. Factor f(p).
p**2*(p - 1)/3
Let j(y) be the second derivative of -1/50*y**5 + 0*y**2 + 0*y**6 + 0*y**4 - y + 1/30*y**3 + 0 + 1/210*y**7. Let j(i) = 0. What is i?
-1, 0, 1
Let u(v) = 2*v**5 + 7*v**4 - 4*v**3 - 7*v**2 + 7*v + 5. Let n(c) = c**5 - c**4 + c**3 + c**2 - c + 1. Let g(h) = -5*n(h) + u(h). Let g(t) = 0. Calculate t.
-1, 0, 1, 2
Let v = -13 + 31. Suppose 20*g = v*g. Factor 4/7*s**4 - 4/7*s**2 + g*s**3 - 2/7*s + 2/7*s**5 + 0.
2*s*(s - 1)*(s + 1)**3/7
Suppose -5*j + 15 = -5. Let m(z) be the first derivative of -2*z**3 + 4*z**3 + 0*z**4 + 3 - j*z**2 + z**4 + 2*z**2. Find w, given that m(w) = 0.
-2, 0, 1/2
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