e of -z**5/45 + 5*z**4/36 - 2*z**3/9 + 3*z**2. Factor q(j).
-2*(j - 2)*(2*j - 1)/3
Let r(l) = -l**3 + 6*l**2 - 5*l + 5. Let x be r(5). Let a(h) be the third derivative of -4/3*h**3 + 0*h - h**2 - 1/10*h**x + 0 - 2/3*h**4. Factor a(z).
-2*(z + 2)*(3*z + 2)
Let l be -22 + 25 - (-7)/(-3). Determine k so that -2/9*k**2 - l*k - 4/9 = 0.
-2, -1
Suppose 4*j = -40 + 48. Let u(m) be the third derivative of 0 + 1/3*m**4 + 3*m**j + 0*m + 4/3*m**3 + 1/30*m**5. Factor u(x).
2*(x + 2)**2
Let m(k) = k + 1. Let z be m(0). Let b = 1 + z. Factor -1 - 19*t**2 - 24*t**2 + 8*t**b + 2*t + 9*t + 25*t**3.
(t - 1)*(5*t - 1)**2
Let b be (17/(-170))/((-1)/5). Let 0 + b*l**2 - 1/2*l = 0. What is l?
0, 1
Let c be 0 + (-5 - -1)/(-2). Let -8*v**3 - 15*v**c + 7*v**2 + 2*v**4 - 4*v**4 = 0. What is v?
-2, 0
Suppose m = 4*m - 18. Let k be 10*1 + (-12)/m. Suppose v**2 + v - k*v**3 + v**2 + 9*v**3 = 0. What is v?
-1, 0
Suppose 5*a = -3*a. Let d(x) be the first derivative of 0*x**2 + 2/35*x**5 - 4/21*x**3 + a*x - 2 - 1/14*x**4. Factor d(c).
2*c**2*(c - 2)*(c + 1)/7
Suppose -8 = 5*s - 18. Determine m, given that 4 + 9*m**2 + 8*m + 18*m**s + 24*m**3 + 9*m**4 - 5*m**2 - 3 = 0.
-1, -1/3
Factor -5/2*f + 2 + 1/2*f**2.
(f - 4)*(f - 1)/2
Factor -2/9 + 0*j**3 + 0*j + 4/9*j**2 - 2/9*j**4.
-2*(j - 1)**2*(j + 1)**2/9
Let h = 15 + -15. Let w(j) be the third derivative of 1/60*j**5 + 1/168*j**8 + 0*j**3 + h + 0*j - 1/210*j**7 + 1/24*j**4 - j**2 - 1/40*j**6. Factor w(y).
y*(y - 1)**2*(y + 1)*(2*y + 1)
Suppose w = -2*v + 7, -2 = -4*w + 5*v - 0. Suppose 12 - 27 = -4*f + u, 6 = w*f + u. Suppose -2*t**2 - t + t**3 - t**f - t**3 = 0. Calculate t.
-1, 0
Let r(t) be the third derivative of t**8/504 + 4*t**7/315 + t**6/36 + t**5/45 - 9*t**2. What is l in r(l) = 0?
-2, -1, 0
Determine p, given that 3/7 + 4/7*p + 1/7*p**2 = 0.
-3, -1
Let i(f) = -f + 2. Let w be i(0). Suppose 2*u + 0*u = -4*l + 14, 0 = -w*l + 5*u - 11. Factor -1/3*p**5 + 4/3*p**2 + 0 - 1/3*p - l*p**3 + 4/3*p**4.
-p*(p - 1)**4/3
Let j be (-3)/1*(-14)/63. Factor 8/3 + j*x**2 + 8/3*x.
2*(x + 2)**2/3
Let j(o) = 9*o**2 + 17*o. Let k(r) = 4*r**2 + 8*r. Let s = 11 + -24. Let v = 19 + s. Let b(c) = v*j(c) - 13*k(c). Let b(q) = 0. Calculate q.
0, 1
Let l be (18/(-21))/3 + (-30)/(-56). Factor -1/2*p - 1/4*p**4 + 0*p**2 + 1/2*p**3 + l.
-(p - 1)**3*(p + 1)/4
Let x = 4 - 2. Let -2*v**5 + 3*v - v - 4*v**2 + 0*v**x + 4*v**4 = 0. What is v?
-1, 0, 1
Let z(f) = f**2 + 2*f + 6. Let t be z(-4). Factor -n**2 + 3*n - t*n**3 - 2*n + 12*n**3.
-n*(n + 1)*(2*n - 1)
Let v(x) be the second derivative of -3*x + 0 - 1/8*x**4 + 1/2*x**3 - 3/4*x**2. Factor v(h).
-3*(h - 1)**2/2
Let a(k) = -3*k**5 + 3*k**4 + k**3 - 3*k**2 + 3*k. Let r(d) = d**5 + d**4 - d**3 - d**2 - d. Let f(t) = -2*a(t) - 2*r(t). Find b, given that f(b) = 0.
-1, 0, 1
Let m = 1 + 1. Let c(p) = -p**3 + 9*p**2 - p + 13. Let r be c(9). Factor 3*j**3 + 4 - 3*j - 5*j + 0*j - r*j**3 + 5*j**m.
-(j - 2)**2*(j - 1)
Suppose 4*v = -162 - 14. Let y be -4 + 6 + 48/v. Factor 4/11 - y*m + 6/11*m**2.
2*(m - 1)*(3*m - 2)/11
Suppose 0 = -139*s + 140*s. What is v in 1/3*v**2 + 0*v + 1/3*v**3 + s = 0?
-1, 0
Suppose -7 = -s - 1. Suppose -j + s = 2*j. Determine b, given that 1 - b**j + 1 - b**3 - 1 + b = 0.
-1, 1
Let n(g) be the second derivative of g**8/9240 - g**7/1540 + g**6/990 - g**3/2 - 3*g. Let v(x) be the second derivative of n(x). Factor v(z).
2*z**2*(z - 2)*(z - 1)/11
Let u be (-58)/(-56)*(-8)/(-10). Let n = u + -3/7. Factor -n*v**2 - 4/5*v + 0.
-2*v*(v + 2)/5
Factor -1/4*d**2 + 1/4*d - 1/4*d**3 + 1/4.
-(d - 1)*(d + 1)**2/4
Let s(h) be the third derivative of -h**6/900 + h**3 - 6*h**2. Let v(c) be the first derivative of s(c). Factor v(z).
-2*z**2/5
Factor 5 - 90*z + 12*z**2 - 5*z**3 + 3*z**2 + 75*z.
-5*(z - 1)**3
Let s(t) be the second derivative of t**5 - 23*t**4/3 + 20*t**3/3 + 16*t**2 + 16*t. Factor s(n).
4*(n - 4)*(n - 1)*(5*n + 2)
Let v(b) = b**3 - 8*b**2 + 10*b + 14. Let f be v(6). Suppose 0 = 7*d - 4*d. Factor 0*u + d - 2/7*u**f - 2/7*u**3.
-2*u**2*(u + 1)/7
Let z(b) = 1715*b**3 + 1474*b**2 + 416*b + 40. Let s(r) = -3430*r**3 - 2947*r**2 - 833*r - 80. Let y(g) = 4*s(g) + 7*z(g). Factor y(m).
-5*(7*m + 2)**3
Let g be (-9)/567*-9 + (-17)/(-28). What is q in g*q**3 + 0*q**2 + 0 - q - 1/4*q**4 = 0?
-1, 0, 2
Suppose 3*y = 35 - 23. Let k(n) be the second derivative of -2*n + 0 - 1/24*n**y - 1/12*n**3 + 1/4*n**2 + 1/40*n**5. Factor k(v).
(v - 1)**2*(v + 1)/2
Suppose 0 = -3*g + 7 + 2. Let h(v) be the second derivative of v - 1/12*v**4 + 1/2*v**2 + 0*v**g + 0. Factor h(i).
-(i - 1)*(i + 1)
Factor 0*h + 1/5*h**3 + 0*h**2 + 0.
h**3/5
Let m(q) be the first derivative of -q**5/35 - 5*q**4/28 + q**3/3 + 5*q**2/14 - 6*q/7 - 32. Factor m(s).
-(s - 1)**2*(s + 1)*(s + 6)/7
Let i(u) be the first derivative of -u**4/22 + 2*u**3/11 - 37. Let i(q) = 0. Calculate q.
0, 3
Let q be (0/(-6))/((-2)/2). Determine z, given that -1/4*z**3 + q - 1/4*z - 1/2*z**2 = 0.
-1, 0
Factor -3/2*y**2 - 3 + 9/2*y.
-3*(y - 2)*(y - 1)/2
Factor 6*q + 3/2*q**4 - 6 - 6*q**3 + 9/2*q**2.
3*(q - 2)**2*(q - 1)*(q + 1)/2
Let u(p) be the third derivative of -1/280*p**7 - 4*p**2 + 0*p - 1/8*p**4 - 3/40*p**5 - 1/8*p**3 + 0 - 1/40*p**6. Find y, given that u(y) = 0.
-1
Let m(y) be the second derivative of -1/33*y**4 + 3*y + 0*y**5 + 1/165*y**6 + 0*y**3 + 0 + 1/11*y**2. Factor m(j).
2*(j - 1)**2*(j + 1)**2/11
Let j(l) be the third derivative of l**5/120 + 7*l**4/24 + 49*l**3/12 + 11*l**2. Suppose j(m) = 0. What is m?
-7
Let f(a) be the first derivative of -2*a**5/45 + a**4/6 - 2*a**3/9 + a**2/9 - 12. Suppose f(l) = 0. What is l?
0, 1
Let k(y) = 47*y - 137. Let d be k(3). Factor 1/4*f**d - 1/4*f + 1/2 + 1/4*f**3 - 3/4*f**2.
(f - 1)**2*(f + 1)*(f + 2)/4
Let r(g) be the third derivative of g**8/672 - g**7/420 - g**6/240 + g**5/120 + 10*g**2. Find o such that r(o) = 0.
-1, 0, 1
Let x be (-1)/(-3) - 11/(-3). Suppose -x*g = -529 + 137. Determine b, given that 44*b - 40*b + 16 + 140*b**2 - g*b**3 + 100*b = 0.
-2/7, 2
Let q(p) = -6*p**4 - 22*p**3 - 40*p**2 - 32*p + 8. Let a(f) = 4*f**2 + 11*f + 45*f**4 - 3 + 7*f**3 + 9*f**2 - 43*f**4. Let t(d) = 8*a(d) + 3*q(d). Factor t(k).
-2*k*(k + 1)*(k + 2)**2
Let f = -23 + 23. Let z(i) be the third derivative of -2*i**2 + 0*i + 1/6*i**5 + 0*i**3 - 1/15*i**6 - 1/12*i**4 + f. Factor z(p).
-2*p*(p - 1)*(4*p - 1)
Let a(z) be the second derivative of -z**5/40 - z**4/6 + z**3/12 + z**2 - 12*z. Solve a(k) = 0 for k.
-4, -1, 1
Let u(n) be the third derivative of -2*n**2 + 0*n**3 + 0 + 1/12*n**4 + 0*n - 1/30*n**5. Factor u(c).
-2*c*(c - 1)
Let a(y) be the second derivative of -y**6/1080 + y**5/180 - y**4/72 - y**3/3 + 3*y. Let q(t) be the second derivative of a(t). Let q(o) = 0. Calculate o.
1
Let h(i) be the second derivative of i**7/1120 + i**6/240 - i**3/6 + 2*i. Let y(d) be the second derivative of h(d). Determine u, given that y(u) = 0.
-2, 0
Determine x, given that -6/7*x**3 - 16/7 - 4/7*x**2 + 24/7*x + 2/7*x**4 = 0.
-2, 1, 2
Let g = 244 - 4877/20. Let m(r) be the second derivative of 1/6*r**3 + g*r**5 + 0*r**2 - 1/30*r**6 - 1/4*r**4 + 0 - 4*r. Factor m(b).
-b*(b - 1)**3
Suppose 2*y - y = -2*h + 642, -4*h - 2580 = -4*y. Let b be (y/10)/((-1)/(-20)). Factor 16 - 37*a - 187*a + 1111*a**2 + 65*a**2 + 1113*a**4 + b*a**4 - 2744*a**3.
(7*a - 2)**4
Let g(j) = -j**2 + 12*j + 4. Let t be g(12). Let u(p) = p**3 - p**2 - 1. Let w(i) = -5*i**3 + 4*i**2 + i + 4. Let a(r) = t*u(r) + w(r). Factor a(o).
-o*(o - 1)*(o + 1)
Let y = -1324 + 23839/18. Let g(m) be the first derivative of 4 - 4/9*m + y*m**4 - 32/27*m**3 + 11/9*m**2. Factor g(j).
2*(j - 1)**2*(7*j - 2)/9
Suppose 0 = 2*r - 23 + 19. Determine d so that -d + 1/2*d**r + 0 + 1/2*d**3 = 0.
-2, 0, 1
Let h be 8/(-28) - 33/(-28). Let i = 8/7 - h. Factor i*p**2 + 1/4*p**3 - 1/4*p - 1/4.
(p - 1)*(p + 1)**2/4
Let b = -999/5 - -200. Factor -2/5*s**3 - b*s**5 - 1/5 - 2/5*s**2 + 3/5*s + 3/5*s**4.
-(s - 1)**4*(s + 1)/5
Suppose -3*j - 10 = 2. Let h(s) = -s. Let d be h(j). Find t such that -d*t + 0*t + 10*t**4 - 12*t**3 - 10*t**2 + 16*t**3 = 0.
-1, -2/5, 0, 1
Let h = -9 - -13. Let t be (h/12)/(4/42). Factor 1 - t*a**2 + 5/2*a.
-(a - 1)*(7*a + 2)/2
Factor 6*s**2 + 3*s**2 - 17*s**2 + 4*s**3 + 4*s.
4*s*(s - 1)**2
Let n be (-8)/14 + (-24)/(-42). Let w(c) be the first derivative of -1/6*c**3 + 1/4*c**4 + n*c -