+ 0*q + 0 - 2/9*q**m.
2*q**2*(q - 1)/9
Let z(w) be the third derivative of 0*w + 0 - 2*w**2 - 1/9*w**3 + 0*w**4 + 1/90*w**5. Suppose z(s) = 0. What is s?
-1, 1
Let r(q) = -q**5 + q**3 + q**2 - 1. Let k(u) = 10*u**5 - 30*u**4 + 40*u**3 - 27*u**2 + 4*u + 3. Let y(a) = -k(a) - 3*r(a). Determine l so that y(l) = 0.
0, 2/7, 1, 2
Let c(j) be the second derivative of -j**10/30240 + j**9/15120 + j**8/6720 - j**7/2520 + j**4/6 - j. Let o(y) be the third derivative of c(y). Factor o(v).
-v**2*(v - 1)**2*(v + 1)
Let h be (2/20)/((-40)/(-12)). Let m(g) be the second derivative of 2*g + h*g**5 + 1/12*g**4 + 1/15*g**3 + 0*g**2 + 0. Factor m(s).
s*(s + 1)*(3*s + 2)/5
Let d(n) = 5*n**2 - 5. Let q(l) = 10*l**2 - 2. Suppose -3 - 1 = z. Let w(p) = p**2 + 1. Let o(k) = z*w(k) + q(k). Let y(i) = 7*d(i) - 6*o(i). Factor y(v).
-(v - 1)*(v + 1)
Let a be 20/(-12) + 1*2. Suppose 3*i = -2*s - 2*s + 18, 13 = -i + 5*s. Let 1/3*k - 1/3*k**i - a*k**3 + 1/3 = 0. Calculate k.
-1, 1
Let m(z) be the third derivative of -z**6/660 + z**5/66 - 7*z**4/132 + z**3/11 - 18*z**2. Suppose m(u) = 0. What is u?
1, 3
Let m(i) be the first derivative of 0*i**3 + 1/8*i**4 - 2 + 0*i**2 + 0*i + 1/12*i**6 - 1/5*i**5. Factor m(t).
t**3*(t - 1)**2/2
Suppose 16 = 2*b + 5*d, -3*d + 0*d = -12. Let o be (b/42)/((-1)/12). Factor -2/7*g - 2/7*g**3 - o*g**2 + 0.
-2*g*(g + 1)**2/7
Let y(v) be the second derivative of -2*v**6/15 - 2*v**5/5 + v**4/3 + 4*v**3/3 - 4*v. Factor y(a).
-4*a*(a - 1)*(a + 1)*(a + 2)
Suppose -4*j + k + 271 + 157 = 0, -322 = -3*j + k. Let i = j - 528/5. Let 0 - 2/5*y**3 - i*y**2 + 0*y = 0. What is y?
-1, 0
Determine n so that 5*n - 11*n + 11*n - 5*n**2 = 0.
0, 1
Let y be 4/(-6) - (4 - (9 - 4)). Let -2/3 - y*u**2 + u = 0. What is u?
1, 2
Let d(t) = 7*t**4 + 7*t**3 + 6*t**2 - 6. Let h(r) = -r**4 - r**3 - r**2 + 1. Let k(m) = -d(m) - 6*h(m). Factor k(j).
-j**3*(j + 1)
Let d(w) be the third derivative of -w**6/24 + 13*w**5/4 - 845*w**4/8 + 10985*w**3/6 + 15*w**2. Factor d(m).
-5*(m - 13)**3
Let y be ((-1)/6)/(11 + -13). Let v(g) be the second derivative of -1/30*g**6 - g + y*g**3 + 1/16*g**4 - 1/8*g**2 - 1/20*g**5 + 0. Factor v(z).
-(z + 1)**2*(2*z - 1)**2/4
Find b, given that 0 - 2/19*b**2 - 4/19*b = 0.
-2, 0
Let t be 5 + -2 - 10/(-5). Suppose t*z = -0 + 5. Determine i so that -i - 14*i**5 - 16*i**4 + 18*i**2 - i**5 - z + 16*i**3 - 1 = 0.
-1, -2/5, 1/3, 1
Let j be 10/50*10/1. Suppose 0 = -0*s + j*s - 6. Factor 0 - 1/2*g**5 + 1/2*g**4 + 1/2*g**s + 0*g - 1/2*g**2.
-g**2*(g - 1)**2*(g + 1)/2
Let v(t) = 3*t**2 - 10*t + 18. Let z(a) = -7*a**2 + 21*a - 37. Let b(i) = 10*v(i) + 4*z(i). Factor b(l).
2*(l - 4)**2
Let r(v) = v**2 - v + 1. Let y be r(-2). Let i be y - -6*2/(-4). Find u such that -1/2*u**i + 0*u - 1/2*u**3 + 1/2*u**5 + 1/2*u**2 + 0 = 0.
-1, 0, 1
Let v(a) be the third derivative of -a**6/360 + a**4/24 + a**3 - 2*a**2. Let i(l) be the first derivative of v(l). What is n in i(n) = 0?
-1, 1
Let s be (-14)/3*(-8)/160. Let u = 1/6 + s. Find q, given that u*q**2 + 8/5 - 8/5*q = 0.
2
Suppose 5 = 3*n + 4*q, -7*n + 2*n = -5*q - 20. Factor 3*k**3 - 7 + 7 - n*k**2.
3*k**2*(k - 1)
Let o be (3/(-6))/(4/(-16)). Let b(k) be the third derivative of 0 + 0*k**3 + 4/315*k**7 + 0*k + 1/45*k**5 + 7/180*k**6 + o*k**2 - 1/36*k**4. Factor b(q).
2*q*(q + 1)**2*(4*q - 1)/3
Let k(s) be the first derivative of s**3/18 + s**2/6 - 1. Factor k(i).
i*(i + 2)/6
Let j(c) be the first derivative of -27*c - 2*c**2 + 0*c**3 - 3*c**2 - 4*c**2 + 3 - c**3. Factor j(a).
-3*(a + 3)**2
Let b(n) be the third derivative of n**8/84 - 16*n**7/525 - 3*n**6/50 + 8*n**5/75 + 2*n**4/15 + 4*n**2. Find m such that b(m) = 0.
-1, -2/5, 0, 1, 2
Let v(l) be the second derivative of 0*l**3 - l + 0 + 1/12*l**4 + 1/20*l**5 + 0*l**2. Factor v(q).
q**2*(q + 1)
Let g(l) be the first derivative of -l**3/5 + 3*l**2/5 - 3*l/5 + 10. Suppose g(n) = 0. Calculate n.
1
Let k(y) = -4*y - 2. Let l be k(-1). Factor 0 - 4/5*n**l + 2/5*n + 2/5*n**3.
2*n*(n - 1)**2/5
Let w(x) be the third derivative of x**5/30 + 5*x**4/6 + 3*x**3 - x**2 + 4. Factor w(f).
2*(f + 1)*(f + 9)
Factor 6/5 - 24/5*i**2 - 3*i**3 - 3/5*i.
-3*(i + 1)**2*(5*i - 2)/5
Let d(v) be the first derivative of 12/5*v**5 + 9/2*v**4 + 3 + 0*v + 1/2*v**6 + 4*v**3 + 3/2*v**2. Factor d(u).
3*u*(u + 1)**4
Let o be 1 + (-1 - -3) - 0. Factor 2/5*c**5 + 0*c**2 + 0*c**o + 0 - 4/5*c**4 + 0*c.
2*c**4*(c - 2)/5
Factor 2/5*s + 4/5*s**3 + 0 - s**2 - 1/5*s**4.
-s*(s - 2)*(s - 1)**2/5
Let v(u) be the third derivative of u**5/15 - u**4/3 - 9*u**2. Factor v(i).
4*i*(i - 2)
Suppose 11*n - 19*n + 24 = 0. Let 1/4*h**4 + 3/4*h**2 + 1/4*h + 0 + 3/4*h**n = 0. Calculate h.
-1, 0
Let m = 24 - 22. Suppose 5*b + g = 18, -m*b + 5*b = -3*g + 18. Suppose 16/5 - 36/5*n**2 - 18/5*n**b + 8/5*n = 0. What is n?
-2, -2/3, 2/3
Let z = 7 - 34/5. Factor 0*n + 1/5*n**2 - z.
(n - 1)*(n + 1)/5
Let w be (-70)/(-105) - (-4)/(-6). Solve w*n**3 - 1/5*n**4 + 0*n + 0 + 0*n**2 = 0 for n.
0
Let f(i) be the second derivative of -i**6/6 - i**5/2 + 5*i**4/3 + 5*i**3/3 - 15*i**2/2 + i. Find p such that f(p) = 0.
-3, -1, 1
Let y = -1335/4 + 334. Factor -1/4 - 1/4*g**3 + 1/4*g**2 + y*g.
-(g - 1)**2*(g + 1)/4
Let m(y) be the third derivative of -y**8/1596 - y**7/399 + y**6/190 + 4*y**5/285 - y**4/57 - y**3/19 + 3*y**2 + 7. Find f, given that m(f) = 0.
-3, -1, -1/2, 1
Let u = 1282/1615 - -2/323. Let a = -2 + 4. Factor 2/5*v - 2/5*v**a + u.
-2*(v - 2)*(v + 1)/5
Suppose 0*c + 6 = 3*c. Find t such that 6*t**3 + 4*t + 6*t**c + 2*t**4 + 0*t**2 - 2*t = 0.
-1, 0
Suppose 11 = -y - 5*g, 3*y + 2*g = 6*y - 18. Let -h**5 + 1 - 3*h + 2*h**2 + 0 + 2*h**5 - 3*h**y + 0*h**4 + 2*h**3 = 0. What is h?
-1, 1
Let t be (-4 - -3)/(1/4). Let f = 4 + t. Suppose 2*a + f*a + 0*a + 9*a**2 + 5*a**4 + 12*a**3 = 0. Calculate a.
-1, -2/5, 0
Let l(i) be the first derivative of 5*i**6/6 - 12*i**5/5 + i**4 + 5. Determine w so that l(w) = 0.
0, 2/5, 2
Let m(f) be the second derivative of -f**7/840 + f**5/40 + f**4/3 - 3*f. Let x(b) be the third derivative of m(b). Suppose x(d) = 0. Calculate d.
-1, 1
Let n(c) = 585*c**2 + 350*c + 25. Let s(p) = 45*p**2 + 27*p + 2. Let g(t) = -3*n(t) + 40*s(t). Let g(a) = 0. Calculate a.
-1/3
Let g = 5 + -1. Factor 9*x**3 + 73*x**4 - 13*x**4 + 30*x + g + 80*x**2 + 40*x**3 + 14*x**5 + 51*x**3.
2*(x + 1)**4*(7*x + 2)
Let u(p) be the first derivative of 2*p**3/27 + 4*p**2/9 + 8*p/9 - 8. Factor u(d).
2*(d + 2)**2/9
Let t(q) = 3*q**2 - 2*q + 3. Let c be t(0). Factor c*x**3 + 0*x - 3/2*x**2 + 0 - 3/2*x**4.
-3*x**2*(x - 1)**2/2
Let p(h) be the third derivative of h**8/1344 + h**7/210 - 11*h**6/480 + h**5/40 - 29*h**2. What is i in p(i) = 0?
-6, 0, 1
Let p(b) be the first derivative of b**4/4 + b**3/3 + 5. Let q(a) = 5*a**3 + 12*a**2 + 5*a - 2. Let v(u) = -p(u) + q(u). Factor v(m).
(m + 1)*(m + 2)*(4*m - 1)
Let l(d) be the first derivative of 2*d**3/15 - d**2/5 - 4. Determine z, given that l(z) = 0.
0, 1
Let o(r) be the first derivative of -r**6/6 + r**5/5 + r**4/2 - 2*r**3/3 - r**2/2 + r - 17. What is t in o(t) = 0?
-1, 1
Let f = 37 + -34. Let x(w) be the second derivative of -3*w + 0 + 0*w**2 - 1/10*w**5 - 1/15*w**6 + 1/6*w**4 + 0*w**f + 1/21*w**7. Factor x(b).
2*b**2*(b - 1)**2*(b + 1)
Suppose -5*w - 9 + 54 = 0. Suppose 2*y - w = 17. Solve 0 + y*h**4 + 0*h - 15/2*h**5 - 13/2*h**3 + h**2 = 0.
0, 1/3, 2/5, 1
Let a = 194/385 - 8/77. Factor 2/5*u**2 + 4/5*u + a.
2*(u + 1)**2/5
Let v(t) = -t**2 + 2*t + 3. Suppose u = -0*u - 5*l + 13, 5*l - 25 = -5*u. Let r be v(u). Let 0 + 0*w**2 + r*w + 4/7*w**3 + 10/7*w**4 = 0. What is w?
-2/5, 0
Let r be (2 - 1)/(-4 + 3). Let y(f) = f**3 + f**2 - f. Let t(h) = 3*h**4 + 30*h**3 + 78*h**2 + 90*h + 48. Let c(o) = r*t(o) + 6*y(o). Factor c(d).
-3*(d + 2)**4
Let h = 3 + -1. Factor -h*s**3 - 2*s - 3*s**2 + 2*s**2 + 0*s**3 - 3*s**2.
-2*s*(s + 1)**2
Let n(h) be the second derivative of -h**6/180 - h**5/30 - h**3/3 - h. Let c(m) be the second derivative of n(m). Determine q so that c(q) = 0.
-2, 0
Let j(x) be the first derivative of 0*x**2 + 1/48*x**4 + 1/12*x**3 + 3 + 3*x. Let g(q) be the first derivative of j(q). Determine z, given that g(z) = 0.
-2, 0
Let k = 4 - 6. Let y(r) = -7*r**2 + 7*r - 4. Let w(t) be the second derivative of 7*t**4/12 - t**3 + 5*t**2/2 - t. Let s(x) = k*w(x) - 3*y(x). Solve s(u) = 0.
2/7, 1
Determine h, giv