*h. Factor a(f).
4*f*(f + 3)**2
Suppose -2*j + 2 = -j. Let c = 4 - j. Suppose -8*t - 2*t**c - 3*t**2 + 3*t**2 - 8 = 0. Calculate t.
-2
Let z(p) be the third derivative of p**8/2016 - p**6/360 + p**4/144 + 5*p**2. Factor z(a).
a*(a - 1)**2*(a + 1)**2/6
Let p(r) be the first derivative of r**4/12 + r - 2. Let f(z) be the first derivative of p(z). Let f(v) = 0. What is v?
0
Let j be (-16)/72 - 2/(-9). Suppose 6*z - 18 = -j*z. Factor 2/5 - 8/5*n**z - 14/5*n**2 - 4/5*n.
-2*(n + 1)**2*(4*n - 1)/5
Let x = -57 - -60. Determine m, given that 3/2*m**2 + 3/2 - x*m = 0.
1
Let f(z) = -z**4 + z**3 + z**2. Suppose h - 1 + 6 = 0. Let q(y) = -49*y**4 - 59*y**3 + 13*y**2 + 14*y - 4. Let c(x) = h*f(x) - q(x). Let c(m) = 0. What is m?
-1, -2/3, 1/3
Determine o so that 62*o**2 + 8 + 324*o**3 + 160*o + 379*o**2 + 8 + 27*o**2 = 0.
-1, -2/9
Let d(y) be the second derivative of y**6/30 + y**5/20 - y**4/4 - 5*y**3/6 - y**2 + y. Let d(c) = 0. Calculate c.
-1, 2
Let q(h) be the second derivative of -h**8/20160 - h**7/3780 - h**4/12 + 2*h. Let x(u) be the third derivative of q(u). Factor x(s).
-s**2*(s + 2)/3
Suppose -2*l = -9 + 3. Suppose l*u + 21 = 3*d, 2*d + 9 - 29 = 4*u. What is s in 0*s**3 + 2/5*s**2 + 0*s - 2/5*s**d + 0 = 0?
-1, 0, 1
Let v(u) = -u**2 - 18*u + 62. Let i(x) = -2*x**2 - 19*x + 61. Let a(w) = -2*i(w) + 3*v(w). Find y, given that a(y) = 0.
8
Let m(q) be the second derivative of q**4/3 - 2*q**3 + 4*q**2 - 14*q. What is c in m(c) = 0?
1, 2
Let -10*g**5 + g**3 + 22*g**4 + 16*g**5 + 21*g**3 + 2*g**2 - 4*g = 0. Calculate g.
-2, -1, 0, 1/3
Factor -3/5*s**2 + 6*s - 15.
-3*(s - 5)**2/5
Let q(k) = -k. Let b be q(-4). Let p be ((-8)/100*-5)/(3/5). Factor 1/3*n**b + 1/3*n**2 + 0*n + p*n**3 + 0.
n**2*(n + 1)**2/3
Let y(q) be the third derivative of q**7/945 - q**6/135 - q**5/90 + 5*q**4/54 + 8*q**3/27 - 9*q**2 + q. Let y(l) = 0. Calculate l.
-1, 2, 4
Let v(b) be the second derivative of 0*b**2 - 1/8*b**5 + b + 1/12*b**4 + 0 + 0*b**3. Determine c so that v(c) = 0.
0, 2/5
Suppose -s + 11 = 4*p, 0 = p - 3*p + 4. Factor -1 + 5*a - 1 - 3*a**2 + s*a**3 + a**4 - 4*a**3.
(a - 1)**3*(a + 2)
Let b(g) be the first derivative of -g**5/180 - g**4/36 + 9*g**2/2 + 1. Let q(n) be the second derivative of b(n). Find u such that q(u) = 0.
-2, 0
Let x(i) be the first derivative of i**4/16 - 2*i**3/3 + 21*i**2/8 - 9*i/2 - 24. Factor x(h).
(h - 3)**2*(h - 2)/4
Solve q**3 + q**3 + 4*q**5 - 8*q**4 + 2*q**3 = 0 for q.
0, 1
Let y = -1/40 - -167/280. What is x in -2/7*x**3 + 10/7*x + 6/7*x**2 + y - 2/7*x**4 = 0?
-1, 2
Let y(c) be the second derivative of -c**5/50 + c**4/6 - 8*c**3/15 + 4*c**2/5 - 7*c. Suppose y(t) = 0. What is t?
1, 2
Let x = 164 + -162. Let 4/9*l**5 - 14/9*l**4 - 8/9*l + 16/9*l**x + 0 + 2/3*l**3 = 0. Calculate l.
-1, 0, 1/2, 2
Let v(z) be the third derivative of z**5/20 + z**4/8 - z**3 - 5*z**2. Let v(g) = 0. Calculate g.
-2, 1
Let m(g) be the third derivative of -g**7/420 - g**6/80 - g**5/120 + g**4/16 + g**3/6 + 7*g**2. Factor m(z).
-(z - 1)*(z + 1)**2*(z + 2)/2
Let d(i) = 15*i**4 - 26*i**3 + 11*i**2 - 22*i. Let n(v) = -3*v**4 + 5*v**3 - 2*v**2 + 4*v. Let x(u) = 2*d(u) + 11*n(u). Factor x(g).
-3*g**3*(g - 1)
Let q(y) be the third derivative of y**8/6720 + y**5/12 - 3*y**2. Let i(a) be the third derivative of q(a). What is b in i(b) = 0?
0
Let w be (-3)/18*3 - 26/(-36). Let k(h) = 2*h. Let u be k(2). Find x such that -w*x**2 + 0*x + 0 + 4/9*x**3 - 2/9*x**u = 0.
0, 1
Let b = 9055/1724 + -1/431. Factor 9/4*g**4 + 3/4*g - 1/2 + 25/4*g**3 + b*g**2.
(g + 1)**3*(9*g - 2)/4
Let y = 1/132 + 175/132. Let -2/3*c**4 + 0*c + y*c**2 + 2/3*c**3 + 0 = 0. What is c?
-1, 0, 2
Let k(d) be the first derivative of d**4/18 - 8*d**3/27 + 4*d**2/9 + 5. Let k(y) = 0. Calculate y.
0, 2
Let a(g) be the first derivative of g**5/20 + g**4/8 + g**3/12 + 4. Solve a(t) = 0.
-1, 0
Let s(p) be the second derivative of p**4/4 - p**3/2 + 6*p. Let s(c) = 0. What is c?
0, 1
Let n(g) be the third derivative of 1/105*g**7 - 4/15*g**5 + 0*g**6 + 0 + 9*g**2 + 16/3*g**3 + 0*g + 0*g**4. Factor n(y).
2*(y - 2)**2*(y + 2)**2
Let f(l) be the first derivative of -1/240*l**6 + 0*l - 4 + 1/80*l**5 + 0*l**2 + 0*l**4 - 2/3*l**3. Let m(t) be the third derivative of f(t). Factor m(a).
-3*a*(a - 1)/2
Suppose 26*j = -21*j + 141. Factor 3/4 + 1/4*v**j + 7/4*v + 5/4*v**2.
(v + 1)**2*(v + 3)/4
Let j(f) be the second derivative of 0*f**2 - 2*f + 1/5*f**5 + 0*f**3 - 1/15*f**6 + 0 - 1/6*f**4. Factor j(m).
-2*m**2*(m - 1)**2
Let r(n) = 3*n**4 - 15*n**3 - 3*n**2 + 20*n. Let b(w) = -12*w**4 + 60*w**3 + 12*w**2 - 81*w. Let y(o) = -5*b(o) - 21*r(o). Factor y(m).
-3*m*(m - 5)*(m - 1)*(m + 1)
Let v be 4 + (-8 - (0 + -4)). What is b in -1/3*b**3 + 0 + v*b + 0*b**2 = 0?
0
Suppose 4*v - 5 = 3. Let b be (-3 + 2 + 0)*10/(-15). Factor -b*g - 2/3*g**3 - 4/3*g**v + 0.
-2*g*(g + 1)**2/3
Let x be 1/(0 + (-4)/(-8)). Factor -11*a**2 + 4*a + 3*a**2 + 2*a**2 + 0*a**x + 2*a**3.
2*a*(a - 2)*(a - 1)
Let n be (-6)/27 - (-1730)/9. Let z = n + -1342/7. Factor 0 - 6/7*y**2 - 2/7*y**4 + z*y + 6/7*y**3.
-2*y*(y - 1)**3/7
Factor -31250/17*h**3 - 16/17 - 7500/17*h**2 - 600/17*h.
-2*(25*h + 2)**3/17
Let u = 3/14 - -5/42. Factor 2/3 - u*c**2 - 1/3*c.
-(c - 1)*(c + 2)/3
Let s(x) = 0*x - 4*x**3 - x**5 + 3*x**5 - 12*x**4 - 4*x + 6*x**2. Let l(u) = 2*u**5 - 13*u**4 - 5*u**3 + 6*u**2 - 4*u. Let a(i) = -6*l(i) + 7*s(i). Factor a(b).
2*b*(b - 2)*(b - 1)**2*(b + 1)
Let b(f) be the first derivative of f**5/90 - f**4/36 + f**2/2 + 1. Let j(p) be the second derivative of b(p). Let j(o) = 0. Calculate o.
0, 1
Let n = -2 + 2. Let p(v) be the first derivative of 1/9*v**3 - 4 + n*v + 1/6*v**2. Factor p(w).
w*(w + 1)/3
Let s be -4*((-15)/(-6))/(-5). Determine z so that 3*z**4 + 9*z**3 - 6*z**s + 3*z**4 + 3*z**5 - 12*z**5 = 0.
-1, 0, 2/3, 1
Let n(b) be the second derivative of -2*b**5/75 - b**4/5 - 3*b**3/5 - b**2 + 3*b. Let y(z) be the first derivative of n(z). Factor y(w).
-2*(2*w + 3)**2/5
Let a be 3/2 + (-2)/(-4). Let f be (3/6)/(a/16). Factor 14*k**f + 0*k**2 - 4*k**2 + 4*k**3 + 6*k**3.
2*k**2*(k + 1)*(7*k - 2)
Let c(z) be the first derivative of -2*z**3/3 - 8. Suppose c(s) = 0. What is s?
0
Suppose -u - 1 + 3 = 0. Factor 6*g**u - 2 - 15*g + 4*g**2 + 3*g**3 - g**2 + 8 - 3*g**4.
-3*(g - 1)**3*(g + 2)
Let u(i) = -4*i**2 + 17*i. Let r(p) = -p**2 + 4*p. Let w(s) = 18*r(s) - 4*u(s). Let a(l) = l**2 + l. Let f(v) = a(v) - w(v). Suppose f(c) = 0. Calculate c.
0, 1
Suppose 0*g = 3*g - 15. Let o = -3 - -2. Let u(d) = d**2 + 7*d + 6. Let q(x) = x + 1. Let m(i) = g*q(i) + o*u(i). Factor m(w).
-(w + 1)**2
Let p(n) be the first derivative of 1 + 6/5*n**2 + 0*n + 15/4*n**4 + 4*n**3. Factor p(d).
3*d*(5*d + 2)**2/5
Factor -10/7*b - 37/7*b**2 + 24/7 - 3/7*b**3.
-(b + 1)*(b + 12)*(3*b - 2)/7
Let k be 3 + -1 + 2 + 5/(-2). What is j in 1/2*j**4 + 1/2*j + k*j**3 + 0 + 3/2*j**2 = 0?
-1, 0
Let d(b) be the first derivative of 2*b**3/9 + b**2 + 4*b/3 - 4. Factor d(v).
2*(v + 1)*(v + 2)/3
Let w(y) be the first derivative of -2/3*y**3 + 0*y**4 - 1/2*y**2 + 0*y + 1/6*y**6 - 3 + 2/5*y**5. Factor w(m).
m*(m - 1)*(m + 1)**3
Let s(b) be the third derivative of b**8/1008 - b**7/630 - b**6/360 + b**5/180 - 11*b**2. What is h in s(h) = 0?
-1, 0, 1
Let x(c) = c**2 - 4*c - 1. Let a = 7 - 2. Let j be x(a). What is s in -2*s**2 - j*s + 0*s + 2*s = 0?
-1, 0
Let v(m) be the third derivative of -m**5/60 + m**3/6 - 2*m**2. What is o in v(o) = 0?
-1, 1
Suppose 2*l + 114 = 5*l. Let k be l/14 + (-12)/(-42). Factor -4*c + 7*c**3 + k*c - c + 5*c**2.
c*(c + 1)*(7*c - 2)
Let t(x) be the third derivative of 0*x**4 + 0 + 1/210*x**7 - 1/60*x**5 + 3*x**2 + 1/336*x**8 + 0*x**3 - 1/120*x**6 + 0*x. Factor t(r).
r**2*(r - 1)*(r + 1)**2
Let z(y) be the second derivative of -y**4/28 - 36*y. Factor z(n).
-3*n**2/7
Let v(y) be the first derivative of y**3 - 12*y + 25. Let v(w) = 0. What is w?
-2, 2
Let q = -14 - -19. Let x = -36 + 38. Factor 2/3*u**4 + 1/3*u + 0 - 2/3*u**x + 0*u**3 - 1/3*u**q.
-u*(u - 1)**3*(u + 1)/3
Suppose 201 = 3*l - 0*j - 3*j, 3*l = -j + 189. Let g be 39/72 + 8/l. Suppose -2/3*i**4 + 0 + 0*i**3 + g*i**2 + 1/3*i - 1/3*i**5 = 0. Calculate i.
-1, 0, 1
Factor -2/9 + 2/9*t**3 + 2/9*t**2 - 2/9*t.
2*(t - 1)*(t + 1)**2/9
Suppose 2*z + 5*z = 0. Let g = -2 - -4. Suppose 4 + 2*s - 7*s**2 - 4 + z*s**g = 0. What is s?
0, 2/7