*2 - 5*w. Let m be g(6). Let o(t) = 2*t**2 - 3*t + 1. Let v(i) = m*h(i) + 2*o(i). Suppose v(n) = 0. Calculate n.
-1, 1
Let q(s) be the first derivative of s**5/30 + s**4/24 - s**3/18 - s**2/12 + 19. Factor q(o).
o*(o - 1)*(o + 1)**2/6
Let s(k) be the third derivative of -k**6/1080 - k**5/60 - k**4/8 + k**3/6 + 3*k**2. Let r(w) be the first derivative of s(w). Factor r(f).
-(f + 3)**2/3
Solve 0*c + 0*c**2 + 7/3*c**4 + 0 + 5/3*c**5 + 2/3*c**3 = 0.
-1, -2/5, 0
Let m(v) = v**3 + 6*v**2 - v - 3. Let k be m(-6). Factor -z**k + 3*z + z - 6*z**2 + 2 - 2*z**2 + 6*z**4 - 3*z**3.
2*(z - 1)**2*(z + 1)*(3*z + 1)
Let r(p) be the first derivative of -1/20*p**5 + 1/4*p**2 + 0*p**4 + 0*p + 6 + 1/4*p**3. Determine o so that r(o) = 0.
-1, 0, 2
Let 0 - 3*n**3 + 2*n**5 - 7/2*n**2 + n + 7/2*n**4 = 0. Calculate n.
-2, -1, 0, 1/4, 1
Let z(w) be the second derivative of w**6/75 + w**5/25 + w. Find g such that z(g) = 0.
-2, 0
Let a(w) be the first derivative of 0*w - 1 - 1/2*w**2 + 1/6*w**3. Solve a(r) = 0 for r.
0, 2
Let q(d) = 4*d**2 - 4*d - 2. Let v(j) = -12*j**2 + 12*j + 7. Let g(p) = 7*q(p) + 2*v(p). Suppose g(w) = 0. What is w?
0, 1
Let l(t) = -t**4 + 3*t**3 + 4*t - 4. Let y(q) = -10 + 8*q**3 - 1 + q**4 + 11*q - 4*q**4. Let a(b) = -11*l(b) + 4*y(b). Factor a(v).
-v**3*(v + 1)
Let y = -16 + 18. Let o(v) = v**2 - v - 2. Let s be o(2). Factor 2/9*d**y + s*d - 2/9.
2*(d - 1)*(d + 1)/9
Let t(q) be the first derivative of q**5/20 - 5*q**4/16 + q**3/2 + q**2/2 - 2*q - 58. Factor t(n).
(n - 2)**3*(n + 1)/4
Let h be ((-8)/5)/(4/(-10)). Let t(p) be the first derivative of 0*p**3 + 0*p**2 - 2/25*p**5 + 0*p - 1 + 1/10*p**h. Suppose t(g) = 0. What is g?
0, 1
Let g(z) = 36*z**4 - 200*z**3 + 364*z**2 + 200*z - 411. Let c(j) = 7*j**4 - 40*j**3 + 73*j**2 + 40*j - 82. Let y(o) = 11*c(o) - 2*g(o). Factor y(m).
5*(m - 4)**2*(m - 1)*(m + 1)
Let m = -246 - -1232/5. Factor 0 + 24/5*r**4 + 162/5*r + m*r**5 + 216/5*r**2 + 108/5*r**3.
2*r*(r + 3)**4/5
Let y be (-5)/(-25)*-1 - -1. Factor -2/5*i - 2/5*i**3 + 0 + y*i**2.
-2*i*(i - 1)**2/5
Let v(c) = 11*c**2 + 8*c. Let t(u) = 4*u**2 + 3*u. Let d(p) = -8*t(p) + 3*v(p). Suppose d(i) = 0. What is i?
0
Factor 1/4*l**2 + 0 + 0*l + l**5 + 1/2*l**3 - 7/4*l**4.
l**2*(l - 1)**2*(4*l + 1)/4
Let u be ((-7)/(-5) - -2)*-204. Let w = u - -700. Factor 0 - 4/5*l - w*l**3 + 14/5*l**4 + 22/5*l**2.
2*l*(l - 1)**2*(7*l - 2)/5
Let 2/9 - 8/9*i**2 - 2/3*i = 0. Calculate i.
-1, 1/4
Let 1/6*i**2 - 1/6*i + 1/6*i**3 + 0 - 1/6*i**4 = 0. Calculate i.
-1, 0, 1
Let w(p) be the second derivative of p**6/30 - p**5/10 + p**4/12 + 7*p. Factor w(u).
u**2*(u - 1)**2
Let n(w) = -w**3 + w**2 + w. Let x(o) = -3*o**3 + o**2 + 3*o. Let j(q) = -n(q) + x(q). Factor j(a).
-2*a*(a - 1)*(a + 1)
Let c(d) be the first derivative of -d**3 - 6*d**2 + 1 - 16*d - 1/16*d**4. Determine o, given that c(o) = 0.
-4
Suppose 0 = 4*s + l - 7, -s - s - l = -3. Let k(z) be the second derivative of 0 - 1/6*z**3 - 1/12*z**4 + 0*z**s - z. Factor k(g).
-g*(g + 1)
Let -7*j**2 - 2*j**5 - 4*j**3 + 18 + 6*j + 10*j**4 - 10*j**2 - 11*j**2 = 0. What is j?
-1, 1, 3
Determine k so that -1 - 6*k + 0 + 0 - 2 - 3*k**2 = 0.
-1
Let j(m) be the first derivative of 18*m**5/5 + 27*m**4/4 + 5*m**3 + 11*m**2/6 + m/3 - 2. Factor j(b).
(2*b + 1)*(3*b + 1)**3/3
Let s(p) be the third derivative of 0 + 1/1470*p**7 + 0*p**5 - 1/84*p**4 - 4*p**2 + 0*p + 1/420*p**6 - 1/42*p**3. Factor s(u).
(u - 1)*(u + 1)**3/7
Let t be 20/9 - (-2)/(-9). Solve 2*i + 1 - 2 - 2*i**t + 1 = 0.
0, 1
Suppose 2*m**4 + 3*m**3 + 8*m**2 - 4*m**4 - 6*m**2 = 0. Calculate m.
-1/2, 0, 2
Let a(h) = -5*h + 2*h + 15 + 2*h. Let x be a(15). Factor 8/9*j**4 + 0*j - 2/3*j**5 - 4/9*j**2 + x + 2/9*j**3.
-2*j**2*(j - 1)**2*(3*j + 2)/9
Let j(l) = l**2 + 2*l + 5. Let u be (14 + -11)/(1/7). Let o(g) = -4*g**2 - 6*g - 16. Let z(s) = u*j(s) + 6*o(s). Determine v so that z(v) = 0.
-1, 3
Let m(s) be the first derivative of s**3/9 - 5*s**2/6 + 4*s/3 + 4. Factor m(i).
(i - 4)*(i - 1)/3
Let v = -3 - -5. Factor 1 - 2*x**2 + 2*x + 4*x**v - x**2.
(x + 1)**2
Let s(p) = -p**2 + 3*p + 1. Let u be s(2). Suppose -v = -5*q - 13, 4*q + 2 = -v - u. Factor -12*o**4 + 7*o**2 - 4*o**2 + v*o**4 + 6*o**3.
-3*o**2*(o - 1)*(3*o + 1)
Let s(m) be the third derivative of m**8/672 + m**7/168 + m**6/240 - m**5/60 - m**4/24 - m**3/24 - 12*m**2. Factor s(j).
(j - 1)*(j + 1)**3*(2*j + 1)/4
Let x(w) be the second derivative of 1/40*w**5 - 1/168*w**7 + 0*w**3 + 2*w + 0*w**2 + 0 + 1/120*w**6 + 0*w**4. Factor x(h).
-h**3*(h - 2)*(h + 1)/4
Let f(i) be the first derivative of 0*i**3 + 2/5*i**5 - 8 - 2*i + 2*i**2 - i**4. Solve f(y) = 0 for y.
-1, 1
Let p be ((-3)/2)/((-2)/4). Let r be ((-124)/12 - -10)*4/(-6). Solve -4/3*n**2 + 8/9*n**p - 2/9*n**4 - r + 8/9*n = 0.
1
Let l(s) = 9*s**2 + 30*s - 3. Let o(k) = 16*k**2 + 59*k - 5. Let q(j) = 5*l(j) - 3*o(j). Factor q(x).
-3*x*(x + 9)
Let w(d) = d + 3. Let a be w(0). Let i(m) = m**3 + 9*m**2 + 8*m + 4. Let l be i(-8). Solve 6*o**l + o**2 - o**3 - 5*o**4 + 3*o**a = 0.
-1, 0
Let r(m) be the third derivative of 7*m**6/480 + 3*m**5/80 - m**4/8 - m**3/6 + 3*m**2. Determine q, given that r(q) = 0.
-2, -2/7, 1
Let f(q) be the first derivative of -5*q**4/2 + 5*q**3 - 5*q**2/2 - 29. Factor f(c).
-5*c*(c - 1)*(2*c - 1)
Let a = -17 - -14. Let j(b) = -b**3 - 2*b**2 + b - 4. Let i be j(a). Factor -2/11 - 2/11*c**3 + 2/11*c + 2/11*c**i.
-2*(c - 1)**2*(c + 1)/11
Suppose -1 + 9 = 4*d. Find g such that g**2 + 6*g - 2*g**d - 5*g = 0.
0, 1
Factor 3*x**3 + 67 - 7 + 94*x + 2*x**3 + 45*x**2 + 6*x.
5*(x + 1)*(x + 2)*(x + 6)
Suppose 4 = -7*v + 8*v. Suppose -2*f + v = -0. Suppose 10/7*w**f + 2*w + 4/7 = 0. What is w?
-1, -2/5
Let s be (-20)/9*15/(-10). Let z(b) = -b**2 + 16*b - 39. Let l be z(13). Let 4/3*r**2 + 8/3*r**4 - s*r**3 + 0 - 2/3*r**5 + l*r = 0. What is r?
0, 1, 2
Let y = 3/8 + 1/8. Factor y*c + 1/4*c**2 + 0.
c*(c + 2)/4
Let l be 2/(-10) - (-4)/10. Let k(u) be the second derivative of 0 + 0*u**4 + 1/25*u**5 - u + l*u**2 - 1/75*u**6 - 2/15*u**3. Let k(q) = 0. Calculate q.
-1, 1
Let q(p) be the third derivative of 1/3*p**3 - 1/60*p**6 + 1/10*p**5 + 0 - 1/4*p**4 + 3*p**2 + 0*p. Factor q(j).
-2*(j - 1)**3
Suppose -2*x + 5 = 7. Let v be 1*x - (-25 + 22). Factor -1/6 + 1/6*i**v + 0*i.
(i - 1)*(i + 1)/6
Find u such that -8/5*u**3 + 2/5 - 8/5*u**4 + 6/5*u**2 + 8/5*u = 0.
-1, -1/2, 1
Suppose -3*q + 7*q = 0. Let h be (q - 1) + 0 + 3. Factor 0*y**h + 2*y**3 - y + 2*y + 3*y**2.
y*(y + 1)*(2*y + 1)
Let b(i) be the second derivative of -7*i**4/54 - 23*i**3/27 - 2*i**2/3 - 5*i. Find x, given that b(x) = 0.
-3, -2/7
Let x be (-10)/(-3)*(2 - 3/6). Let -32/7*b**x - 20/7*b**2 - 2/7*b - 66/7*b**3 - 80/7*b**4 + 0 = 0. What is b?
-1, -1/4, 0
Let l(h) be the third derivative of h**6/60 - h**5/15 - h**4/4 - 16*h**2. Determine p so that l(p) = 0.
-1, 0, 3
Factor 0*d + 0*d**2 + 0 - 2/3*d**5 + 0*d**4 + 2/3*d**3.
-2*d**3*(d - 1)*(d + 1)/3
Let z(r) = 12*r**3 + 12*r**2 - 12*r - 21. Let n(o) = -3*o**3 - 3*o**2 + 3*o + 5. Let p(f) = -9*n(f) - 2*z(f). Factor p(t).
3*(t - 1)*(t + 1)**2
Let x(b) be the first derivative of b**7/315 + b**6/60 + b**5/90 - b**4/12 - 2*b**3/9 - 5*b**2/2 - 5. Let h(d) be the second derivative of x(d). Factor h(u).
2*(u - 1)*(u + 1)**2*(u + 2)/3
Let z = 49/156 + 1/52. Let i(h) be the first derivative of -h + z*h**3 + 1/2*h**2 - 1/4*h**4 + 1. Suppose i(p) = 0. Calculate p.
-1, 1
Let y = 18 + -16. Let a(t) be the first derivative of 0*t - 1 + t**y + 5/3*t**3. Factor a(k).
k*(5*k + 2)
Let m(b) be the first derivative of b**5 + b**4/2 - 5*b**3/3 - b**2 - 8. Find g, given that m(g) = 0.
-1, -2/5, 0, 1
Let i(k) be the first derivative of -6/5*k**5 + 1/2*k**4 + 4*k**2 + 1 + 0*k + 16/3*k**3. Factor i(b).
-2*b*(b - 2)*(b + 1)*(3*b + 2)
Let i(n) be the second derivative of -2*n**6/15 + n**5/5 + n**4/3 - 2*n**3/3 - 6*n - 1. Factor i(s).
-4*s*(s - 1)**2*(s + 1)
Let j(s) be the first derivative of 3*s**3 - 12*s**2 + 12*s - 15. Factor j(k).
3*(k - 2)*(3*k - 2)
Let o be ((-96)/(-112))/(-3 - 153/(-42)). What is r in 0*r**2 + 0 + 1/3*r**5 + o*r**4 + 0*r + 4/3*r**3 = 0?
-2, 0
Suppose -14 = -5*h + 6. Suppose 0 = 4*y - 9 - 7, -h*y + 16 = -5*n. Solve n + 9/2*r**3 - 1/2*r**2 + 13/2*r**4 + 5/2*r**5 - r = 0.
-1, 0, 2/5
Let v(h) be the third derivative of -h**5/10 - 7*h**4/8 - 3*h**3/2 + h**2. Factor v(s).
-3*(s + 