tive of s**6/65 + 7*s**5/65 + 23*s**4/78 + 16*s**3/39 + 4*s**2/13 + 10*s. Solve o(q) = 0 for q.
-2, -1, -2/3
Suppose -u - 9 = -5*i, -7*i = -u - 3*i - 9. Let o = u + 9. Find g, given that o*g + 0 + 2/3*g**2 - 8/3*g**3 = 0.
0, 1/4
Let i(d) be the third derivative of -d**8/112 + d**7/70 + d**6/40 - d**5/20 - 2*d**2. Factor i(r).
-3*r**2*(r - 1)**2*(r + 1)
Suppose -3*h = -4*o + 17, 2*h = -5*o + h + 7. Factor b**3 + 2*b**o - b - 4*b**2 + 4*b**2 + 1 - 3*b**2.
(b - 1)**2*(b + 1)
Let s(q) be the first derivative of q**3/9 + 4*q**2/3 + 16*q/3 + 13. Suppose s(n) = 0. Calculate n.
-4
Let s(j) be the first derivative of j**5/10 + 3*j**4/8 + j**3/2 + j**2/4 - 20. Factor s(x).
x*(x + 1)**3/2
Let a = 1 - -2. Factor a - 15*s + 4*s**4 - 30*s**3 + 2*s**5 + 11*s**4 + 30*s**2 - 5*s**5.
-3*(s - 1)**5
Let n = 1 + -25. Let i = n - -24. Factor -1/3*b + 1/3*b**4 + i - b**3 + b**2.
b*(b - 1)**3/3
Let k(a) be the first derivative of a**6/42 - a**5/7 - 3*a**4/14 + 3. Find w such that k(w) = 0.
-1, 0, 6
What is g in 0 - 14*g**2 + 129*g**2 + 30*g + 110*g**3 + 0 + 25*g**4 = 0?
-3, -1, -2/5, 0
Let u(o) be the third derivative of -1/270*o**5 + 0*o**3 + 0*o + 0*o**4 + 0 - 6*o**2. Factor u(j).
-2*j**2/9
Let b be (376/3)/(245/3). Let m = b + 13/49. Let -31/5*s**3 + 2/5 + m*s - 39/5*s**4 - 14/5*s**5 + 1/5*s**2 = 0. Calculate s.
-1, -2/7, 1/2
Let l(m) = -9*m**3 - 21*m**2 - 30*m - 12. Let v(n) = 26*n**3 + 62*n**2 + 89*n + 36. Let j(o) = -17*l(o) - 6*v(o). Factor j(t).
-3*(t + 1)*(t + 2)**2
Let w(s) be the third derivative of s**6/160 + s**5/80 - s**4/8 - s**3/2 - 6*s**2. Factor w(f).
3*(f - 2)*(f + 1)*(f + 2)/4
Find i such that -36/11*i**2 - 6*i + 10/11*i**3 - 20/11 = 0.
-1, -2/5, 5
Let 15*h - 6*h**5 - 10*h**3 - 404*h**4 + h**5 - 20*h**2 + 424*h**4 = 0. What is h?
-1, 0, 1, 3
Let c be -2 + (1 - (-1 + -2)). Suppose -c*h + 3 = 3*v - 11, -v + 22 = 5*h. Suppose 0*u**2 + 2 + 3*u**2 + u**2 - 5*u**v + u = 0. What is u?
-1, 2
Suppose 11*u = 14*u - 6. Find y such that 4*y**u - 2*y**4 + 19*y**3 + 0*y**2 - 11*y**3 - 8*y - 2*y**4 = 0.
-1, 0, 1, 2
Let r(i) be the first derivative of i**8/1120 - i**7/840 - i**6/80 + i**4/12 - 4*i**3/3 + 5. Let s(v) be the third derivative of r(v). Factor s(m).
(m - 2)*(m + 1)**2*(3*m - 2)/2
Let f = 2 + 0. Factor 2*s**2 - 3*s**3 + 3*s + 6 - 51*s**4 - 11*s**f + 54*s**4.
3*(s - 2)*(s - 1)*(s + 1)**2
Suppose 2*q + 5*s + 14 = -q, -3*s - 20 = -4*q. Let f = 25 - 99/4. Factor i + 1 + f*i**q.
(i + 2)**2/4
Suppose z - o + 7 = 0, -2 = -2*z - 5*o - 9. Let w(i) = -i - 4. Let p be w(z). Factor -2*l**5 - 8*l**4 - 12*l**3 - p*l - l**2 - 4*l**2 - 3*l**2.
-2*l*(l + 1)**4
Let z(l) be the first derivative of -7*l**5/40 + 3*l**4/8 + 11*l**3/24 - 3*l**2/4 - l/2 - 9. Solve z(b) = 0.
-1, -2/7, 1, 2
Find h such that 4/19 + 10/19*h**2 - 14/19*h = 0.
2/5, 1
Factor 1/9 - 1/9*x**2 + 0*x.
-(x - 1)*(x + 1)/9
Let s(k) be the second derivative of -1/6*k**2 + 1/6*k**3 - k + 0 - 1/12*k**4 + 1/60*k**5. What is d in s(d) = 0?
1
Let c(i) be the second derivative of -1/8*i**2 - 1/16*i**4 - 1/6*i**3 + 0 + i. Factor c(n).
-(n + 1)*(3*n + 1)/4
Suppose d + 0*d + 20 = 4*s, -5*s = 4*d - 25. Suppose -a - 2 + 6 = d. Factor 2/3*p**5 - 4/3*p**a + 0*p**3 + 4/3*p**2 - 2/3*p + 0.
2*p*(p - 1)**3*(p + 1)/3
Let w(p) = 2*p. Let o = -10 + 16. Let y be (9/o)/((-6)/(-8)). Let c(t) = t**2 + t. Let v(h) = y*c(h) - w(h). Factor v(q).
2*q**2
Let n be 0 + 0 + 9/3. Determine w so that 0*w**2 + 0 + 0*w - 1/3*w**n = 0.
0
Let m = -19 - -23. Factor 0*j**3 + 4*j**3 - 36*j**4 + 28*j**5 + m*j**3.
4*j**3*(j - 1)*(7*j - 2)
Let s be (6/20)/((-36)/(-15)). Let j(v) be the first derivative of -1/20*v**5 + s*v**4 + 1/4*v - 1/4*v**2 + 2 + 0*v**3. Solve j(o) = 0.
-1, 1
Let h be (-160)/(-6)*(-42)/35. Let p = 38 + h. Factor -3*y - p*y**3 + 0 + 15/2*y**2 + 3/2*y**4.
3*y*(y - 2)*(y - 1)**2/2
Suppose -3*r + 39 + 30 = 0. Let b be r/20 + (-9)/12. Determine t so that 2/5*t**5 - 4*t**2 - b + 4*t**3 - 2*t**4 + 2*t = 0.
1
Factor -6/7*d**4 - 12/7*d**3 + 20/7*d**2 + 18/7 + 2/7*d**5 + 6*d.
2*(d - 3)**2*(d + 1)**3/7
Let v(k) be the third derivative of -k**6/20 - k**5/60 + k**4/24 - 7*k**2. Solve v(j) = 0 for j.
-1/2, 0, 1/3
Let d(l) be the second derivative of 2*l**4/57 - 17*l**3/57 + 4*l**2/19 + 25*l. Determine i so that d(i) = 0.
1/4, 4
What is o in -2/3*o**2 + 0*o + 1/3*o**4 + 0*o**3 + 1/3 = 0?
-1, 1
Suppose 40*y**2 + 155*y - 25*y**3 - 18 + 45 + 63 = 0. What is y?
-1, 18/5
Suppose 4*k - 11 = -3. Let d be 18/(-45) - (-18)/15. Determine f so that -k*f - 6/5*f**2 - d = 0.
-1, -2/3
Factor 0*n + 2/7 - 2/7*n**2.
-2*(n - 1)*(n + 1)/7
Let v(j) be the first derivative of 3*j**4/4 + j**3 + 13. Solve v(c) = 0.
-1, 0
Let m(a) be the second derivative of a**4/6 - 5*a**3/9 + 2*a**2/3 + 6*a. Factor m(r).
2*(r - 1)*(3*r - 2)/3
Let c be (-244)/6 + (-4)/(-6). Let a be 4/c*(-5)/2. Let 3/4*m**3 + 0 - 1/4*m**4 - 3/4*m**2 + a*m = 0. What is m?
0, 1
Let r be (57/8 - 7)*2. Determine w so that -r*w**2 + 0 + 1/4*w = 0.
0, 1
Let m(k) = k**2 - 8*k - 14. Let y be m(10). Solve 7*r**4 - 14*r**3 + 10*r**5 - y*r**2 + 4*r - 2 + 2 - r**4 = 0 for r.
-1, 0, 2/5, 1
Let w(d) be the first derivative of -d**4/20 - 4. What is y in w(y) = 0?
0
Let w be 20/6 + (-6)/18. Factor 0*b + 15/2*b**3 + w*b**2 + 0.
3*b**2*(5*b + 2)/2
Let n(w) = -8*w + 50. Let g be n(6). Factor 0*j - 1/4*j**g + 1/4.
-(j - 1)*(j + 1)/4
Let j(d) be the first derivative of 0*d**2 - 6/35*d**5 + 0*d - 4/21*d**3 + 7 + 1/2*d**4. Let j(k) = 0. Calculate k.
0, 1/3, 2
Let p(l) be the first derivative of 7*l**6/3 + 8*l**5/3 - l**4/2 - 4*l**3/9 + 9. Suppose p(u) = 0. Calculate u.
-1, -2/7, 0, 1/3
Let x(h) be the first derivative of -h**4/5 - 8*h**3/5 + 128*h/5 + 25. Determine a so that x(a) = 0.
-4, 2
Let j(y) be the first derivative of 2*y**3/3 + 6*y**2 + 18*y + 1. Solve j(i) = 0.
-3
Let r(y) be the third derivative of 2*y**3 + 10*y**2 + 1/20*y**5 + 0*y - 1/2*y**4 + 0. Factor r(x).
3*(x - 2)**2
Suppose 0 = -0*m + 4*m - 4. Let a be 2 - (1 + m/3). Let 4/3 - 2/3*q**2 + a*q = 0. What is q?
-1, 2
Let z(l) be the second derivative of 1/50*l**5 - 1/30*l**4 + 1/150*l**6 + 0 - 1/30*l**3 - 1/210*l**7 + 1/10*l**2 - 3*l. Solve z(o) = 0.
-1, 1
Suppose -10*o - 4*q - 17 = -13*o, 4*o = q + 14. Factor 0 + 2/5*r**4 + 4/5*r - 4/5*r**o - 2/5*r**2.
2*r*(r - 2)*(r - 1)*(r + 1)/5
Suppose -2 + 0 = 2*d. Let t be 13/(d - (-3 + -1)). Determine x so that t*x + 3*x**3 + 8*x**2 + 2/3 = 0.
-2, -1/3
Let w(h) = -h**3 + 10*h**2 + 11*h. Let p be w(11). Solve -12*l**2 + l - 4*l + 3*l**3 + 6*l**4 + p*l + 6*l**4 = 0 for l.
-1, -1/4, 0, 1
Solve -2 - 10*x**2 + 8*x**2 - 2 - 8*x - 2*x**2 = 0.
-1
Let w(u) = 2*u - u + 0*u**2 + 5*u**2. Let f be w(-1). Factor j + 2*j**4 + 0*j**f - j**3 - j**2 - j**4.
j*(j - 1)**2*(j + 1)
Let s be ((-6)/30*0)/(0 + -2). Solve -2/5*u**2 - 1/5*u**3 + s - 1/5*u = 0.
-1, 0
Factor -4/3*a**2 + 4/3*a + 0 - 8/3*a**3.
-4*a*(a + 1)*(2*a - 1)/3
Let k(z) be the first derivative of 3*z**4/32 + 7*z**3/8 - 3*z**2/2 - 3. Factor k(h).
3*h*(h - 1)*(h + 8)/8
Let u(f) be the first derivative of -f**3/7 - 9*f**2/14 - 6*f/7 - 7. Factor u(s).
-3*(s + 1)*(s + 2)/7
Let b(h) be the first derivative of h**4/2 + 4*h**3/3 + 30. Find i such that b(i) = 0.
-2, 0
Let a(s) be the third derivative of s**6/30 - s**4/2 + 4*s**3/3 - 20*s**2. What is t in a(t) = 0?
-2, 1
Factor 2 + 0 + 4*v**2 + 4*v**3 - 2.
4*v**2*(v + 1)
Suppose -4*z + 14 = -2*v, -z + 8 = 2*z + v. What is w in 0*w**4 + w**3 + 1 + w - 2*w**2 + 0*w**2 - z*w**3 + w**4 + w**5 = 0?
-1, 1
Factor 0 + 0*w - 2/5*w**2 - 1/5*w**3 + 3/5*w**4.
w**2*(w - 1)*(3*w + 2)/5
Let z(j) be the second derivative of -j**4/42 - j**3/3 - 6*j**2/7 - 10*j. Factor z(b).
-2*(b + 1)*(b + 6)/7
Let d(x) = x**3 - 13*x**2 + 2. Let k be d(13). Suppose 3*r**2 + r + 10*r**2 - 12*r**k - 2 = 0. Calculate r.
-2, 1
Let 9/2*m + 0 - 3*m**2 - 3/2*m**3 = 0. Calculate m.
-3, 0, 1
Let h(i) be the third derivative of i**6/40 + 23*i**5/360 - 17*i**4/48 + 5*i**3/18 - 59*i**2. Factor h(v).
(v - 1)*(2*v + 5)*(9*v - 2)/6
Let d(n) be the first derivative of -1/15*n**3 - 2*n + 1/5*n**2 + 2 - 1/15*n**4. Let c(q) be the first derivative of d(q). Factor c(a).
-2*(a + 1)*(2*a - 1)/5
Let c(k) be the third derivative of k**6/30 - 8*k**5/15 + 7*k**4/2 - 12*k**3 + 7*k**2. Let c(y) = 0. What is y?
2, 3
Let g(l) be the first derivative of -2 + 1/5*l**2 + 0*l - 2/15*l**3. Factor g