= -4*g. Factor 0*i + d - 2/9*i**2 + 2/3*i**3 + 2/9*i**5 - 2/3*i**4.
2*i**2*(i - 1)**3/9
Let c(n) = 17*n + 2 - 5 + 6*n. Let z be c(4). Find m such that 61*m - 22 - z*m - 3*m**4 - 24*m**3 - 72*m**2 - 68*m - 26 = 0.
-2
Factor 0 - 8/5*v**2 + 2/5*v**4 + 8/5*v - 2/5*v**3.
2*v*(v - 2)*(v - 1)*(v + 2)/5
Let v = 63623/6900 - 212/23. Let k(h) be the third derivative of v*h**6 - 1/60*h**4 + 0*h - 2*h**2 + 0 + 1/150*h**5 - 1/15*h**3. Factor k(c).
2*(c - 1)*(c + 1)**2/5
Suppose 0 = -0*b + b - 5*c - 10, 5*b - 5*c + 10 = 0. Let g = -4 - b. Factor -3 - r + g - 4*r - 4*r**2 - r**3.
-(r + 1)**2*(r + 2)
Suppose -4/3*k**4 + 4 + 8*k**2 + 0*k**3 - 32/3*k = 0. What is k?
-3, 1
Suppose -2*o = 2*o - 40. Let h be (-7)/o*4/(-7). Factor 2/5 - 2/5*z**2 - 2/5*z + h*z**3.
2*(z - 1)**2*(z + 1)/5
Let k(q) be the third derivative of -q**6/1260 - q**5/420 + q**3/2 - 3*q**2. Let v(d) be the first derivative of k(d). Factor v(f).
-2*f*(f + 1)/7
Let q be (26/40 - (-4)/(-10))*3. Let 0 + 9/2*b**3 + q*b + 3*b**2 + 3*b**4 + 3/4*b**5 = 0. Calculate b.
-1, 0
Let b be (6/40)/((12/(-32))/(-3)). Let t be (-4)/(-5) + (-6)/(-3). Suppose -2/5 + 0*o**4 + 2/5*o**2 - b*o - 8/5*o**5 + t*o**3 = 0. What is o?
-1, -1/2, 1
Let f(z) = z**2 - 11*z + 2. Let q be f(11). Factor 11*i + 3 + 3*i**4 + 9*i**3 - i + 3*i**3 + q*i + 18*i**2.
3*(i + 1)**4
Let z(f) be the second derivative of -f**3 - 4*f + 0 - 1/4*f**4 + 0*f**2. Factor z(m).
-3*m*(m + 2)
Let m be 464/280 + (1/(-7))/(-1). Factor m + 1/5*l**2 - 6/5*l.
(l - 3)**2/5
Let l be (-299)/(-4) - (-2)/8. Let m be -5*(12/l)/(-2). Find x, given that -2/5*x + 4/5*x**2 - m*x**3 + 0 = 0.
0, 1
Let i(d) be the second derivative of -d**7/189 - d**6/45 - d**5/30 - d**4/54 - 4*d. Factor i(z).
-2*z**2*(z + 1)**3/9
Let r = 1 - -3. Let l be (-2)/r - 0 - -2. Factor h**2 + 1/4*h + 0 + h**4 + l*h**3 + 1/4*h**5.
h*(h + 1)**4/4
Let o(x) = -x**3 - 9*x**2 - x - 6. Let r be o(-9). Let n(u) be the second derivative of 1/9*u**2 + u - 2/27*u**4 + 0 + 1/9*u**r. Factor n(s).
-2*(s - 1)*(4*s + 1)/9
Suppose 3*o - 3*s = -558, -4*o - s - 746 = -4*s. Let p be o/(-140) + 3/(-15). Let 0 - p*f**2 + 50/7*f**5 - 90/7*f**4 + 0*f + 48/7*f**3 = 0. Calculate f.
0, 2/5, 1
Let p(t) be the second derivative of 3/10*t**4 + 9/25*t**5 + 3*t + 3/70*t**7 + 1/5*t**6 + 0 + 0*t**2 + 1/10*t**3. Find g, given that p(g) = 0.
-1, -1/3, 0
Let z(b) = 4*b**2 + 2*b + 1. Let o be z(-1). Factor o*c**5 - 2*c + 4*c**2 - 4*c**4 - c**5 + 0*c**5.
2*c*(c - 1)**3*(c + 1)
Let v(n) be the third derivative of -n**7/420 + n**6/80 - n**5/120 - n**4/16 + n**3/6 - 16*n**2. Let v(c) = 0. What is c?
-1, 1, 2
Let 0 - 1/4*c**2 - 1/4*c = 0. What is c?
-1, 0
Let a = 1660/21 - 79. Let i(m) be the second derivative of -1/70*m**5 + 3*m + 0 - 1/21*m**3 + 0*m**2 + a*m**4. Find c such that i(c) = 0.
0, 1
Suppose 3*u = 8*u - 15. Factor u*x**2 - x**2 + 0*x**4 - 2*x**4 - 1 + x**4.
-(x - 1)**2*(x + 1)**2
Determine r so that -2*r + 0*r**2 - 2*r**5 + 4*r**3 - 2*r**4 - 2 + 6*r**2 + 0*r**4 - 2*r**2 = 0.
-1, 1
Let m(o) be the third derivative of o**7/630 + o**6/360 - o**5/90 - 4*o**2. Let m(l) = 0. Calculate l.
-2, 0, 1
Let b(p) be the third derivative of -5*p**8/252 - 4*p**7/315 + p**6/30 + 13*p**2. Factor b(m).
-4*m**3*(m + 1)*(5*m - 3)/3
Let q(f) = f**3 - 7*f**2 + f - 5. Let r be q(7). Suppose 7*l - r*l - 5 = 0. Factor l - 1 + 3*b**2 - 3.
3*(b - 1)*(b + 1)
Let u(h) = -2*h**2 + h - 2. Let d(q) = -q**2 - q - 1. Let r(n) = -d(n) + u(n). Factor r(o).
-(o - 1)**2
Let r(t) be the second derivative of t**4/8 - 3*t**3/4 - 3*t**2 + 45*t. Factor r(k).
3*(k - 4)*(k + 1)/2
Let a(v) be the first derivative of 0*v**3 + 0*v**2 + 2/15*v**5 - 3 + 1/6*v**4 + 0*v. Let a(b) = 0. What is b?
-1, 0
Let w = 192 - 569/3. Find z, given that w*z + 2/3 + 3*z**2 + 1/3*z**4 + 5/3*z**3 = 0.
-2, -1
Let k(o) be the first derivative of 7*o**4/2 + 38*o**3/3 + 8*o**2 - 8*o + 12. Find c, given that k(c) = 0.
-2, -1, 2/7
Let u(q) be the first derivative of q**4/14 - 2*q**3/21 + 35. Determine o so that u(o) = 0.
0, 1
Find g such that -5*g**5 - 10*g**4 - 15*g - g**3 + 14*g**3 + 10*g**2 + 7*g**3 = 0.
-3, -1, 0, 1
Let v(u) = u**3 + 8*u**2 + 6*u - 7. Let k be v(-7). Suppose -11*y + 6*y = k. Factor -1/4*w**3 + 0*w**2 - 1/4*w**5 - 1/2*w**4 + 0*w + y.
-w**3*(w + 1)**2/4
Find r such that 2/9 - 4/9*r**3 + 4/9*r - 2/9*r**4 + 0*r**2 = 0.
-1, 1
Let s(a) be the second derivative of a**6/1080 + a**3/3 + a. Let g(j) be the second derivative of s(j). Let g(i) = 0. What is i?
0
Let h(k) be the third derivative of -k**8/5040 - k**7/2520 + k**6/540 + 7*k**3/6 - 6*k**2. Let q(b) be the first derivative of h(b). Factor q(x).
-x**2*(x - 1)*(x + 2)/3
Suppose 161 = 3*m - 226. Let s = 647/5 - m. Factor 0 + s*c**2 + 4/5*c.
2*c*(c + 2)/5
Suppose -8 = 4*c, -2*c + c + 5 = -z. Let p = 10 + z. Factor 0*q**5 + 2*q**3 - q**2 + q**p - 3*q**4 + q**5.
q**2*(q - 1)**3
Factor -4*c - 8*c + 7*c + 6 - 3*c + 2*c**2.
2*(c - 3)*(c - 1)
Let m(s) be the third derivative of s**5/75 - s**4/15 + 2*s**3/15 - 6*s**2. Solve m(l) = 0.
1
Let s(j) be the first derivative of 9*j**5/10 + 11*j**4/6 + 2*j**3/3 + 6*j - 8. Let y(u) be the first derivative of s(u). Factor y(g).
2*g*(g + 1)*(9*g + 2)
Let o(v) be the third derivative of -5*v**8/48 - v**7/21 + 7*v**6/24 + v**5/6 + 23*v**2. Find u such that o(u) = 0.
-1, -2/7, 0, 1
Let l be (-40)/15*(-3)/2. Factor -5*d**4 + 8*d + 3*d**l + 4*d**2 + 17*d**3 - 25*d**3 - 2*d**4.
-4*d*(d - 1)*(d + 1)*(d + 2)
Let y(c) be the first derivative of 3*c**4/16 + 9*c**3/4 - 3*c**2/8 - 27*c/4 - 3. Factor y(v).
3*(v - 1)*(v + 1)*(v + 9)/4
Let 0*x + 0 + 8/3*x**2 + 8/3*x**3 + 2/3*x**4 = 0. What is x?
-2, 0
Suppose -8 + 12 = z. Determine s, given that 0 + 2/5*s**5 - 8/5*s + 6/5*s**3 + 8/5*s**z - 8/5*s**2 = 0.
-2, -1, 0, 1
Let u(o) be the third derivative of o**8/20160 - o**7/5040 - 7*o**5/60 - 4*o**2. Let t(g) be the third derivative of u(g). Factor t(h).
h*(h - 1)
Let o(p) = 3*p**3 + p - 2. Let d(f) = -13*f**3 - 5*f + 9. Let m(r) = -2*d(r) - 9*o(r). Solve m(i) = 0.
-1, 0, 1
Let v(b) be the first derivative of 2*b**5/65 + 2*b**4/13 + 4*b**3/13 + 4*b**2/13 + 2*b/13 - 3. Solve v(o) = 0.
-1
Let p(m) be the first derivative of m**8/504 - m**6/90 + m**4/36 + 2*m**2 - 1. Let w(v) be the second derivative of p(v). Factor w(b).
2*b*(b - 1)**2*(b + 1)**2/3
Let s be -45 + (24/(-28))/(-3). Let h = s - -45. Let 8/7*z + 0 - 8/7*z**2 + h*z**3 = 0. Calculate z.
0, 2
Let h(l) be the third derivative of l**6/1080 - l**5/108 + l**4/54 + 6*l**2. Factor h(j).
j*(j - 4)*(j - 1)/9
Let v = 0 + 1. Let w be ((-2)/v)/(2/(-4)). Factor 0 + w*j**2 - 14*j**4 + 10*j**3 + 0.
-2*j**2*(j - 1)*(7*j + 2)
Let a(g) be the first derivative of 12*g**5/5 - 11*g**4/2 - 16*g**3/3 + 11*g**2 + 4*g - 15. What is o in a(o) = 0?
-1, -1/6, 1, 2
Let w(o) = -o**5 + o**4 + o**2 - o. Let y(a) = -a**5 - 2*a**4 + 5*a**3 - 2*a. Let j(n) = -2*w(n) + y(n). Factor j(p).
p**2*(p - 2)*(p - 1)**2
Suppose 6*p = -3*p + 36. Let o(c) be the second derivative of -1/9*c**2 - 1/54*c**p + c + 0 + 2/27*c**3. Factor o(d).
-2*(d - 1)**2/9
Solve -3/7*l**3 + 15/7*l**2 - 24/7*l + 12/7 = 0 for l.
1, 2
Let k(d) be the third derivative of 1/12*d**4 + 0*d + 0 + 0*d**3 + 7*d**2 + 1/60*d**5 - 1/120*d**6. Solve k(p) = 0.
-1, 0, 2
Let y(m) be the third derivative of 0 + 1/100*m**5 + 0*m**3 + 0*m - 1/350*m**7 + 1/200*m**6 - 1/40*m**4 - 2*m**2. Factor y(q).
-3*q*(q - 1)**2*(q + 1)/5
Let p(u) = 8*u**2 + 7*u**2 - 6*u**2 - 5*u. Let x(d) = 3*d**2 + 0*d + 0*d - 2*d. Let y(h) = -4*p(h) + 11*x(h). Find m such that y(m) = 0.
-2/3, 0
Factor 28*x + 2*x**3 + 11 - 14*x**2 + 7 - 34.
2*(x - 4)*(x - 2)*(x - 1)
Let n = -22 - -25. Let u(j) be the third derivative of -n*j**2 + 0 + 1/180*j**5 + 0*j + 1/36*j**4 + 1/18*j**3. Find f such that u(f) = 0.
-1
Find b, given that 8/7*b**3 - 8/7*b - 4/7*b**4 + 4/7 + 0*b**2 = 0.
-1, 1
Let r be (3 - (-13)/(-3)) + 2. Suppose -l - 2 + 4 = 0. Factor -1/3*u**l - r*u - 1/3.
-(u + 1)**2/3
Suppose -15 = 4*z - 35. Let 1/3*a**4 + 0 - 1/3*a**2 + 2/3*a**z + 1/3*a - a**3 = 0. Calculate a.
-1, 0, 1/2, 1
Let j(w) be the first derivative of w**4/14 - w**2/7 + 2. Factor j(c).
2*c*(c - 1)*(c + 1)/7
Let h(s) be the third derivative of s**7/630 - s**6/60 + 13*s**5/180 - s**4/6 + 2*s**3/9 + 6*s**2 + 1. Let h(m) = 0. What is m?
1, 2
Let x = 2 + 0. Let w(a) be the second derivative of -1/20*a**5 + 1/6*a