vative of 1/9*s**3 - 2/3*s**c + 4/3*s - 1. Factor v(p).
(p - 2)**2/3
Let i(j) = 18*j**2 - 16*j - 12. Let t(d) be the first derivative of -1 - 1/2*d**2 - d. Let o(w) = i(w) - 12*t(w). Determine g so that o(g) = 0.
0, 2/9
Let u(p) = 11*p**4 + p**3 - 18*p**2 + 6*p. Let g(w) be the third derivative of w**7/105 - w**5/20 + w**4/24 - 3*w**2. Let z(v) = 34*g(v) - 6*u(v). Factor z(m).
2*m*(m - 1)**3
Let j(b) = b + 8. Let q be 2/4 + 26/(-4). Let i be j(q). Factor -i + 3 + n - n**2 + 5*n**3 - 6*n**3.
-(n - 1)*(n + 1)**2
Let s = -28 + 85/3. Suppose -2/3*b**3 + 1/3 - 2/3*b**2 + 1/3*b**4 + s*b + 1/3*b**5 = 0. What is b?
-1, 1
Let i(k) = 5*k**3 - 18*k + 13. Let h(t) = -15*t**3 + 53*t - 38. Let r(g) = 3*h(g) + 8*i(g). Let r(l) = 0. Calculate l.
-2, 1
Suppose -44*m + 17*m = 0. Factor -1/3*a**2 + m - 2/3*a.
-a*(a + 2)/3
Let y(z) be the first derivative of -4*z + 3/16*z**4 - 1/8*z**2 + 11/80*z**5 + 1/24*z**3 + 1/30*z**6 + 1. Let d(t) be the first derivative of y(t). Factor d(n).
(n + 1)**3*(4*n - 1)/4
Let c = 173 - 169. Let b(i) be the first derivative of 1/5*i**2 + 0*i + 1/15*i**3 - 1 - 1/20*i**c. Factor b(y).
-y*(y - 2)*(y + 1)/5
Let s = 37 - 23. Suppose -2*i + 12 = -2*v, -3*v - s = -2*i - 0. Solve -1/6*n**3 + 0*n**2 + 0*n - 1/6*n**i + 0 = 0.
-1, 0
Suppose 0 = -t - 0 + 2. Let 4*j**2 + j**3 - j**5 - 4*j**t = 0. Calculate j.
-1, 0, 1
Suppose 0 = -4*j + 2*x + x + 10, -2*x = -3*j + 8. Suppose -5*v**4 - 2*v - 2*v**3 + 13*v**4 + j*v - 8*v**2 = 0. What is v?
-1, 0, 1/4, 1
Let i(p) be the third derivative of p**7/210 - p**6/60 + p**5/60 + 4*p**2. Suppose i(b) = 0. Calculate b.
0, 1
Factor 16/7*a**3 + 32/7*a - 2/7*a**4 - 10/7 - 36/7*a**2.
-2*(a - 5)*(a - 1)**3/7
Suppose 3*j = 3*n + 2*j - 60, 0 = 2*n + 4*j - 54. Let p be 6/n + 22/21. Factor -4/3*z + p*z**3 - 1/3 + 1/3*z**2.
(z - 1)*(z + 1)*(4*z + 1)/3
Let c(u) = -4*u**2 - 15*u + 11. Let r(d) be the second derivative of -d**4/12 - d**3/2 + d**2 + 3*d. Let f(k) = 2*c(k) - 11*r(k). Solve f(p) = 0.
-1, 0
Let g be (-96)/30*10/(-4). Let c be (6/15)/(g/10). Factor -3/4*j**2 + 3/4*j**4 - c*j**3 + 1/2*j + 0.
j*(j - 1)*(j + 1)*(3*j - 2)/4
Let a be ((-2)/1)/((-665)/15). Let u = a + 10/19. Solve 22/7*l - 4*l**4 - u + 52/7*l**3 + 6/7*l**5 - 48/7*l**2 = 0 for l.
2/3, 1
Suppose 22*v + 0*v = -6*v. Factor -3/5*l**4 + 3/5*l**2 + 0*l - 3/5*l**3 + v + 3/5*l**5.
3*l**2*(l - 1)**2*(l + 1)/5
Factor 9/2 + 25/2*x**2 + 15*x.
(5*x + 3)**2/2
Let b = -12800/11 - -1164. Factor 0*z**3 - 6/11*z**2 + 2/11*z**4 + 0 + b*z.
2*z*(z - 1)**2*(z + 2)/11
Let z(u) be the third derivative of u**7/70 - u**6/40 + 2*u**2. What is j in z(j) = 0?
0, 1
Let m(b) be the third derivative of -b**5/75 - b**4/15 - 2*b**3/15 - 13*b**2. Factor m(j).
-4*(j + 1)**2/5
Suppose -3*r + 2*l = -2*l + 21, 0 = 2*r + 4*l - 6. Let d be 0 + 0 + r/(-12). Find j, given that 5/2*j**2 + 5/4*j**4 + 1/4 - 5/4*j - 5/2*j**3 - d*j**5 = 0.
1
Let s(j) be the first derivative of -8/15*j**3 - 8/25*j**5 + 0*j - 1/5*j**2 - 3/5*j**4 - 1 - 1/15*j**6. Factor s(x).
-2*x*(x + 1)**4/5
Let u(g) = -g**2 + g + 1. Let f(w) = -4*w**2 - 2*w + 8. Let k(d) = f(d) - 2*u(d). What is h in k(h) = 0?
-3, 1
Find g such that 4*g**2 - 10*g - 5*g**4 - 26*g**3 + 32*g**3 + g**5 + 2*g = 0.
-1, 0, 2
Suppose w - 4 = -2*l, -55 = -2*w + 7*w - 5*l. Let b = 8 + w. Suppose -8*h**b + 4*h + 4 + 2*h + 10*h**2 = 0. What is h?
-2, -1
Let v be 3/((-15)/(-8)*4). Let v*t**4 + 2/5*t**2 + 0*t + 0 + 4/5*t**3 = 0. Calculate t.
-1, 0
Let n(b) = b**3 + 8*b**2 - 8*b + 12. Let y be n(-9). Let d(w) be the third derivative of 0*w + 0 - 3*w**2 + 0*w**y - 1/180*w**5 + 1/72*w**4. Factor d(u).
-u*(u - 1)/3
Suppose -18 = -22*c + 16*c. Factor 2/9*b**4 + 8/9 - 2/3*b**2 - 8/9*b + 4/9*b**c.
2*(b - 1)**2*(b + 2)**2/9
Factor 3*t + 24*t**3 + 14*t - 48*t**2 - 4*t**4 - 12 - 2*t + 25*t.
-4*(t - 3)*(t - 1)**3
Suppose -4*h - 2*w + 8 = 3*w, 0 = -4*w. Let r be (-3 - 0)*(13 - 14). Let c + c**5 - 2*c + c**r - 3*c**4 + 3*c**h + 2*c - 3*c**5 = 0. What is c?
-1, -1/2, 0, 1
Let k(v) = -v**2 - v - 1. Let z(o) = -12*o**2 - 4*o + 16. Let m(q) = -8*k(q) + z(q). Factor m(t).
-4*(t - 3)*(t + 2)
Let x(q) be the third derivative of q**7/42 - q**6/12 + q**5/12 - 9*q**2. Determine s, given that x(s) = 0.
0, 1
What is s in -27*s + 2*s**2 - 4*s**2 - 32 + 11*s = 0?
-4
Let x(s) be the third derivative of -s**6/180 + s**4/12 - s**3/6 - 6*s**2. Let g(i) be the first derivative of x(i). Determine a, given that g(a) = 0.
-1, 1
Suppose -6 + 2 = 4*o, -4*b = -2*o - 34. Let j = b + -8. Solve 2/9*c**3 + 4/9*c**2 - 2/3*c**4 + 0*c + j = 0 for c.
-2/3, 0, 1
Let l(q) be the first derivative of q**4/2 - 10*q**3/9 - 4*q**2/3 + 8*q/3 - 8. Find g such that l(g) = 0.
-1, 2/3, 2
Factor -1/4*g**2 + 1/2 - 1/4*g.
-(g - 1)*(g + 2)/4
Factor 2/13*g**2 - 12/13*g + 18/13.
2*(g - 3)**2/13
Let x(y) = 21 + 70*y - 10*y**2 + 15*y**2 + 28*y**2 - y. Let p(z) = 82*z**2 + 172*z + 52. Let u(r) = -5*p(r) + 12*x(r). Factor u(o).
-2*(o + 2)*(7*o + 2)
Suppose 0 - 2*p + 2/3*p**3 - 4/3*p**2 = 0. What is p?
-1, 0, 3
Let s = 1/301 + 299/602. Factor 0*o + 1/2*o**2 + 0 + 1/2*o**5 - s*o**3 - 1/2*o**4.
o**2*(o - 1)**2*(o + 1)/2
Suppose 5*f - 3*q = 27, -2*q = 4*f - 4*q - 20. Factor -2 - 109/2*b**2 + 18*b + 63*b**f - 49/2*b**4.
-(b - 1)**2*(7*b - 2)**2/2
Let c be (-1 - -2) + -11 + 10. Suppose p + p = c. Factor 0*t + p + 1/2*t**5 + 1/2*t**3 - t**4 + 0*t**2.
t**3*(t - 1)**2/2
Let d(s) be the third derivative of -s**7/560 + 3*s**6/160 - 9*s**5/160 - s**2. Factor d(m).
-3*m**2*(m - 3)**2/8
Factor -4*g**3 - 4*g**4 + 34*g**3 - 14*g**3 - 16*g**2.
-4*g**2*(g - 2)**2
Let u(v) be the first derivative of -v**6/1440 + v**4/96 + v**3 + 5. Let j(w) be the third derivative of u(w). Find m, given that j(m) = 0.
-1, 1
Let y(g) = g**4 - 5*g**3 + 9*g**2 - 7*g + 5. Let i(z) = 6*z**4 - 30*z**3 + 54*z**2 - 42*z + 29. Let o(l) = -6*i(l) + 34*y(l). Factor o(v).
-2*(v - 2)*(v - 1)**3
Let f(c) be the second derivative of c**7/28 + 3*c**6/20 + 9*c**5/40 + c**4/8 + 12*c. Suppose f(o) = 0. What is o?
-1, 0
Let g be (10/(-7))/(45/(-35)). Solve -g*y + 2/3*y**2 + 4/9 = 0.
2/3, 1
Let d(r) be the third derivative of 0*r + 0*r**4 + 1/20*r**5 + 1/40*r**6 + 0*r**3 + 0 + 4*r**2. Let d(m) = 0. Calculate m.
-1, 0
Let r(m) be the second derivative of m**4/3 - 16*m**3/3 + 14*m**2 + 9*m. Suppose r(p) = 0. Calculate p.
1, 7
Let j(r) = 3*r + 19. Let h be j(5). Let u be h/8 - (-9)/(-12). Factor -2 + 9/2*z**2 + 6*z - u*z**3.
-(z - 2)*(z + 1)*(7*z - 2)/2
Let f = 58 - 54. Let v(x) be the first derivative of 0*x + x**2 + 0*x**3 - 1/2*x**f - 3. Factor v(q).
-2*q*(q - 1)*(q + 1)
Let w(a) = a**3 - 15*a**2 + 10. Let r be w(15). Suppose -30 = 5*t - r*t. Factor -t*g + 1/2*g**4 - 3*g**3 + 2 + 13/2*g**2.
(g - 2)**2*(g - 1)**2/2
Factor 0*r + 6*r**4 - 4/3*r**2 + 0 + 14/3*r**3.
2*r**2*(r + 1)*(9*r - 2)/3
Suppose -21*v + 78 = 36. Factor 2/3*q**3 + 0 + 2/9*q + 2/3*q**v + 2/9*q**4.
2*q*(q + 1)**3/9
Let x(r) = -r + 1. Let i be x(-11). Let w be i/42*7/9. Factor 2/9*c**5 - 2/9*c**3 + 0*c + 0 - w*c**2 + 2/9*c**4.
2*c**2*(c - 1)*(c + 1)**2/9
Let r(w) be the first derivative of -3*w**6 + 48*w**5/5 - 73*w**4/8 + w**3/2 + 9*w**2/4 + w/2 - 36. Factor r(t).
-(t - 1)**3*(6*t + 1)**2/2
Let q be ((-4)/(-8))/(1/4). Let o be 1*q/1 + 2. Suppose 0*g + 0 + 10/3*g**o + 4/9*g**2 - 22/9*g**3 = 0. Calculate g.
0, 1/3, 2/5
Let d(t) be the third derivative of -1/420*t**6 + 0 + 0*t + 0*t**3 + 0*t**4 + 3*t**2 + 1/210*t**5. What is u in d(u) = 0?
0, 1
Let t(b) = -3*b - 10. Let h be t(-6). Let -h*y**2 + 9*y**2 + 3*y**3 - 4*y**2 = 0. Calculate y.
0, 1
Let j(x) be the third derivative of 5/72*x**4 - 2*x**2 + 1/36*x**6 + 1/126*x**7 + 1/1008*x**8 + 1/18*x**5 + 1/18*x**3 + 0 + 0*x. Suppose j(y) = 0. Calculate y.
-1
Factor -1/4*z**3 + 0 + 0*z - z**2.
-z**2*(z + 4)/4
Let c(k) = 15*k**3 - 11*k**2 + 11*k. Let l(n) = -8*n**3 + 6*n**2 - 6*n. Let w = -17 - -26. Let i = -3 + w. Let t(d) = i*c(d) + 11*l(d). Solve t(g) = 0 for g.
0
Let l = 12/37 - -1/111. Let j = 8 - 4. Determine g so that 2/3*g - l*g**j + g**2 + 0*g**3 + 0 = 0.
-1, 0, 2
Find d such that -2/19*d + 2/19*d**2 + 0 = 0.
0, 1
Let t be ((-18)/(-15))/((-1)/5). Let s be (-8)/t*(-3)/(-2). Factor 2*y**5 + 0*y**5 + 6*y**3 + 5*y**4 + y**4 + 2*y**s.
2*y**2*(y + 1)**3
Let w(d) = -104*d**2 - 56*d + 20. Let u(k) = 0*k - 11*k + 4 + 5*k**2 - 26*k**2. Let g(c) = -14*u(c) + 3*w(c). Determine m