 n**2. What is g in k(g) = 0?
-1, 0, 1, 2
Let i(c) = c**4 + c**3 - c + 1. Let g(w) = -3*w**3 - 9*w**2 + 9*w - 3. Let j(l) = -g(l) - 3*i(l). Factor j(n).
-3*n*(n - 1)**2*(n + 2)
Let l(t) = -t**2 - t + 1. Let c(h) = -6*h**2 - 2*h + 2. Let g(x) = -c(x) + 2*l(x). Factor g(m).
4*m**2
Let y(m) = 4*m**3 - 6*m**2 + 3*m - 1. Let n(d) = -9*d**3 + 13*d**2 - 6*d + 2. Let t(w) = 3*n(w) + 7*y(w). Determine h so that t(h) = 0.
1
Suppose -6*f = 7*f + 12*f. Factor 0*y + 2/5*y**2 - 2/5*y**3 - 2/5*y**4 + 2/5*y**5 + f.
2*y**2*(y - 1)**2*(y + 1)/5
Let j(z) be the third derivative of -z**7/420 + z**6/80 - z**5/120 - z**4/16 + z**3/6 + 11*z**2. Factor j(i).
-(i - 2)*(i - 1)**2*(i + 1)/2
Let z = 17 - 17. Let k(u) be the first derivative of -1/4*u**2 + 1/8*u**4 + 1/3*u**3 - 1/5*u**5 + 3 + z*u. Factor k(w).
-w*(w - 1)*(w + 1)*(2*w - 1)/2
Let k = -4 - -9. Let v(f) = 3*f**5 - 2*f**4 + 4*f**2 - 3*f - 2. Let w(g) = 7*g**5 - 4*g**4 + 9*g**2 - 7*g - 5. Let m(l) = k*v(l) - 2*w(l). Solve m(x) = 0 for x.
-1, 0, 1
Find g such that 0*g + 0 + 2/13*g**2 = 0.
0
Let g(o) = 2*o**3 - 2*o**2 + o - 6. Let m(l) = -3*l**3 + 3*l**2 - 2*l + 11. Let s(n) = -5*g(n) - 3*m(n). Let x(v) = 1. Let p(q) = -s(q) - 2*x(q). Factor p(d).
(d - 1)**2*(d + 1)
Let l(q) be the third derivative of q**6/30 - q**4/6 + 11*q**2. Factor l(i).
4*i*(i - 1)*(i + 1)
Let s(t) be the first derivative of 0*t + 0*t**3 - t**5 - 1/2*t**4 + 0*t**2 + 7/6*t**6 - 3. Factor s(h).
h**3*(h - 1)*(7*h + 2)
Let o(n) be the first derivative of -3*n**4/20 + 2*n**3/5 - 20. Factor o(w).
-3*w**2*(w - 2)/5
Let y = -2 - 2. Let m(p) = p**3 + 4*p**2 - 2*p - 5. Let k be m(y). Factor -3*f**k + 3*f**3 + f**3 - f**2.
f**2*(f - 1)
Let h(f) be the first derivative of 51/2*f**4 - 18*f**5 + 2 + 9/2*f**6 + 6*f - 12*f**3 - 9/2*f**2. Solve h(q) = 0 for q.
-1/3, 2/3, 1
Let h(x) be the third derivative of 11*x**8/560 + 9*x**7/350 - 7*x**6/40 - 49*x**5/100 - 3*x**4/10 + 2*x**3/5 + 17*x**2. Let h(n) = 0. What is n?
-1, 2/11, 2
Let s be (-7)/(-3) + 1 - 20/10. Let -5/3*j**2 + 1/3*j**3 - s + 8/3*j = 0. What is j?
1, 2
Let y = 0 + 2. Let 6 + 6*x**2 - 14 + 8*x**y - 6*x**3 = 0. What is x?
-2/3, 1, 2
Suppose -3*z - 2*x = -2, -z + 2 = -5*x - 10. Let -2/3*l + 0 + 1/3*l**z = 0. Calculate l.
0, 2
Let k(h) = -h. Let v be k(-2). Factor -1 + s**4 + 0*s**2 - v*s**2 + 2.
(s - 1)**2*(s + 1)**2
Let k(o) be the third derivative of -o**7/245 + o**6/42 - o**5/210 - o**4/14 - o**2 + 2. Determine z, given that k(z) = 0.
-2/3, 0, 1, 3
Suppose -2*z + 4*f = -36, -2*f - 58 = -z - 4*z. Let c be 4/(z - 2/2). Let -2/9*b - 2/3*b**4 + 0 + c*b**5 - 2/9*b**3 + 2/3*b**2 = 0. What is b?
-1, 0, 1/2, 1
Let z be (-18)/(-18)*(-586)/6. Let q = 99 + z. Let -22/3*l + q*l**3 + 32/3*l**2 + 6*l**5 - 12*l**4 + 4/3 = 0. Calculate l.
-1, 1/3, 2/3, 1
Suppose 8/11 - 8/11*a + 2/11*a**2 = 0. What is a?
2
Let z(o) be the third derivative of o**8/112 - o**7/35 + o**6/40 + 5*o**2. Suppose z(h) = 0. What is h?
0, 1
Let h(t) be the first derivative of -t**7/24 + 11*t**6/60 + t**5/10 - t**4/3 - 3*t**3 - 4. Let k(x) be the third derivative of h(x). Factor k(i).
-(i - 2)*(5*i + 2)*(7*i - 2)
Let x(w) = -2*w**5 - 16*w**4 + 26*w**3 - 28*w**2 + 12*w - 4. Let r(a) = a**5 + a**4 + a**2 - a + 1. Let c(l) = -4*r(l) - x(l). Determine p so that c(p) = 0.
0, 1, 2
Factor -3/2*z**4 + 1/2 - 1/2*z**5 - z**3 + 3/2*z + z**2.
-(z - 1)*(z + 1)**4/2
Suppose 12*m = 10*m. Let g(k) be the third derivative of 1/315*k**7 + 1/72*k**6 + 1/72*k**4 + 1/45*k**5 + 0 + m*k + 0*k**3 - k**2. What is b in g(b) = 0?
-1, -1/2, 0
Let m be (54/(-21))/((-21)/98). Factor -m + 4 + 30*w**2 - 2*w**2 - 20*w.
4*(w - 1)*(7*w + 2)
Factor 15*j**2 - 365 - 3*j + 18*j**3 + 365.
3*j*(j + 1)*(6*j - 1)
Let r(l) = 24*l + 288. Let m be r(-12). Solve m*h - 1/4*h**2 + 0 = 0.
0
Let x be ((-34)/(-8) - (-42 + 46))*0. Factor -1/6*p**2 + x - 1/3*p.
-p*(p + 2)/6
Suppose -12*l + 11*l = 9. Let w(f) = -3*f**2 - 3*f + 6. Let y(a) = 7*a**2 + 6*a - 13. Let d(t) = l*w(t) - 4*y(t). Find u such that d(u) = 0.
1, 2
Factor n**2 - 2*n**2 + 8*n**2 - 10*n**2.
-3*n**2
Let g(a) = a**3 - 17*a**2 + 9*a + 11. Let c be -24 - (-2 - (1 - 1)). Let i(y) = -y**2 + 1. Let n(p) = c*i(p) + 2*g(p). Suppose n(v) = 0. What is v?
0, 3
Let a = 17 + -10. Factor 0*o + a*o**2 - 1 - 2 + 12*o - 1.
(o + 2)*(7*o - 2)
Let h(q) be the third derivative of 0*q + 7/150*q**5 + 0*q**3 - q**2 - 1/60*q**6 - 1/30*q**4 + 0. Find b, given that h(b) = 0.
0, 2/5, 1
Let q(p) = 8*p**4 - 11*p**3 + 8*p**2 + 5. Let v(f) be the first derivative of f**5/5 - f**4/4 + f**3/3 + f + 1. Let n(b) = -q(b) + 5*v(b). Factor n(k).
-3*k**2*(k - 1)**2
Let v(z) = -2*z**4 - 4*z**3 + 2*z**2 + 2*z + 2. Let n(h) = -h**4 - 4*h**3 + 3*h**2 + 3*h + 3. Let g(k) = -2*n(k) + 3*v(k). Factor g(u).
-4*u**3*(u + 1)
Let y(d) be the first derivative of -1/4*d**2 + 1/8*d**4 - 3 - 1/6*d**3 + 1/2*d. Find t such that y(t) = 0.
-1, 1
Let z(r) = -r**2 + r - 14. Let m(j) = -j**2 - 15. Suppose 5*q - 10 = 3*f, 0 = -q + 6*q - 4*f - 5. Let s(k) = q*m(k) - 6*z(k). Factor s(n).
(n - 3)**2
Suppose 4*b = -b + 15. Let y(k) be the first derivative of 1 + 1/10*k**5 - 1/12*k**6 + 1/8*k**4 + 0*k + 0*k**2 - 1/6*k**b. Factor y(p).
-p**2*(p - 1)**2*(p + 1)/2
Let i(t) = -108*t**3 - 186*t**2 - 90*t - 19. Let k(w) = -36*w**3 - 62*w**2 - 30*w - 6. Let b = 8 - 12. Let r(x) = b*i(x) + 14*k(x). Factor r(l).
-4*(l + 1)*(2*l + 1)*(9*l + 2)
Let r(o) = o**3 + 8*o**2 + 7*o + 3. Let p be r(-7). Factor -3/4*g**2 + 3/4*g**4 + 0 - 1/4*g + 1/4*g**p.
g*(g - 1)*(g + 1)*(3*g + 1)/4
Let g(h) be the third derivative of h**5/60 + h**4/8 + 2*h**3/3 + 3*h**2. Let q(i) = i**2 + 2*i + 4. Let z(c) = 6*g(c) - 7*q(c). Suppose z(o) = 0. Calculate o.
2
Let a(s) = -s**3 + s**2 + 2*s - 3. Let b be a(2). Let m be (7 + b)*1/2. Factor 4 - 2 + 6*n**4 - 4*n**3 - 2*n**5 + 6*n - 2 - m - 4*n**2.
-2*(n - 1)**4*(n + 1)
Let a(m) be the first derivative of -9*m**6 + 54*m**5/5 + 9*m**4 - 20*m**3/3 - 7*m**2 - 2*m + 8. Factor a(y).
-2*(y - 1)**2*(3*y + 1)**3
Let n = 8 + -6. Let l = 5 - 9/2. Factor 1/2*z + l - 5/2*z**n + 3/2*z**3.
(z - 1)**2*(3*z + 1)/2
Let v(h) be the first derivative of h**6/80 - h**5/60 - h**4/48 + 3*h**2/2 - 3. Let k(z) be the second derivative of v(z). Factor k(t).
t*(t - 1)*(3*t + 1)/2
Suppose z + 2*q - 4 = 0, 3*z + 5*q + 6 = 18. Let i = -18/7 - -68/21. What is f in -2*f**3 - i*f**z - 2/3*f**2 + 2*f + 4/3 = 0?
-2, -1, 1
Let n(m) be the second derivative of -m**8/336 + m**7/210 + m**6/40 - m**5/60 - m**4/12 - 9*m**2/2 - 7*m. Let u(s) be the first derivative of n(s). Factor u(o).
-o*(o - 2)*(o - 1)*(o + 1)**2
Let w(r) be the second derivative of r**5/160 + r**4/32 + r**3/24 - 6*r. Factor w(m).
m*(m + 1)*(m + 2)/8
Let n(a) = a**5 + a**4 - a**2 + 1. Let w(s) = -31*s**5 + 89*s**4 + 68*s**3 - 137*s**2 - 96*s - 11. Let d(u) = 5*n(u) - w(u). Solve d(b) = 0 for b.
-1, -1/3, 2
Let l be ((-108)/(-22) + -6)/(-3). Determine c, given that 0 + 2/11*c**4 - l*c**2 + 0*c + 2/11*c**3 = 0.
-2, 0, 1
Suppose -19*d = -16*d - 6. Factor 2/5*n**d + 1/5*n - 2/5 - 1/5*n**3.
-(n - 2)*(n - 1)*(n + 1)/5
Let o(m) be the second derivative of m**8/20160 + m**7/1512 + m**6/270 + m**5/90 - m**4/3 - 4*m. Let d(q) be the third derivative of o(q). Solve d(u) = 0 for u.
-2, -1
Let p(a) = -960*a**2 - 219*a + 6. Let r(o) = -192*o**2 - 44*o + 1. Let f(m) = 4*p(m) - 21*r(m). Factor f(x).
3*(8*x + 1)**2
Let g(s) = 8*s**5 + 2*s**4 - 2*s**3 - 8*s**2 - 2*s + 5. Let l(i) = i**5 - i**4 - i**3 - i**2 + 1. Let w(n) = -g(n) + 5*l(n). Factor w(z).
-z*(z + 1)**3*(3*z - 2)
Let n be (-1)/((2 - -2) + -16). Let y(q) be the third derivative of 0*q - n*q**3 + 1/240*q**6 + 0 + 2*q**2 - 1/48*q**4 + 1/120*q**5. Find u such that y(u) = 0.
-1, 1
Solve 0*a + 1/4*a**4 + 0 - 1/2*a**3 + 1/4*a**5 + 0*a**2 = 0 for a.
-2, 0, 1
Suppose -3415 - 2*v**3 + 3415 = 0. Calculate v.
0
Let g = -18 - -22. Let t(i) be the first derivative of -2/9*i**3 - 2/3*i**2 + 2 + 0*i + 1/3*i**g + 2/15*i**5. Factor t(d).
2*d*(d - 1)*(d + 1)*(d + 2)/3
Let s(h) be the second derivative of -h**5/10 - h**4/6 + h**3/3 + h**2 - 10*h. Factor s(p).
-2*(p - 1)*(p + 1)**2
Let w(k) be the third derivative of -8*k**7/35 + 3*k**6/5 - 9*k**5/20 + k**4/8 - 9*k**2. Suppose w(s) = 0. Calculate s.
0, 1/4, 1
Let h(k) be the first derivative of 3*k**4/2 - k**3 - 15*k**2/2 - 6*k - 6. Factor h(b).
3*(b - 2)*(b + 1)*(2*b + 1)
Deter