 i(o) be the second derivative of u(o). Factor i(y).
2*(y - 1)*(y + 3)**2/5
Solve 560*w**3 + 44*w - 27*w + 48*w - 245*w**4 + 15*w - 390*w**2 - 5 = 0.
1/7, 1
Let b(a) = -3*a**3 - 7 + 4*a - 9*a**2 - 3*a + 4*a**3 + 0*a**3. Let x be b(9). Suppose -2/3 + 1/3*k**3 - k + 0*k**x = 0. Calculate k.
-1, 2
Let i(n) = -4*n**2 - 52*n + 64. Let m(y) = -3*y**2 - 35*y + 43. Let x(o) = -5*i(o) + 8*m(o). Solve x(a) = 0 for a.
-6, 1
Factor -9/4*k**3 - 3/4*k**4 + 3*k + 0*k**2 + 0.
-3*k*(k - 1)*(k + 2)**2/4
Suppose -2*o + 20 = -4*v, 5*o - 7 = -v - 1. Suppose 0 = -4*s + 6 + o. Find j, given that j**2 - 2*j**2 + 2 - s = 0.
0
Let x = -19 + 24. Factor 15*t**3 - 8*t**4 - 25*t**3 - 6*t**2 + 2*t**2 - 2*t**x.
-2*t**2*(t + 1)**2*(t + 2)
Let f(q) be the first derivative of 0*q**3 - 2 - 2*q - 1/90*q**5 - 1/54*q**4 + 0*q**2. Let c(h) be the first derivative of f(h). Suppose c(g) = 0. Calculate g.
-1, 0
Let h(k) be the third derivative of k**8/784 + 3*k**7/245 + 11*k**6/280 + k**5/70 - 3*k**4/14 - 4*k**3/7 + 6*k**2. What is a in h(a) = 0?
-2, -1, 1
Determine x so that -37*x**2 + 8*x - 2*x + 6*x - 3*x**2 = 0.
0, 3/10
Let q = 16/19 - 4/95. Let o = -58/105 - -20/21. Determine g, given that -2/5*g**2 - o + q*g = 0.
1
Let n(y) be the third derivative of y**7/42 - y**6/8 - y**5/12 + 5*y**4/8 + 2*y**2. Suppose n(c) = 0. What is c?
-1, 0, 1, 3
Determine p so that 5*p**2 - 9*p - 11*p + 17*p**2 + 13*p**2 - 5*p**4 - 10*p**3 = 0.
-4, 0, 1
Let 4/7 + 2/7*m**2 - 6/7*m = 0. What is m?
1, 2
Suppose r - 2*f = -2, -2*r = -2*f + 4*f - 8. Factor 2*s - s**4 + 2*s**4 + 4*s**2 - 4*s**3 - 3*s**4 + r*s**5 - 2.
2*(s - 1)**3*(s + 1)**2
Find f such that 15 - 84*f**2 + 45*f + 2 - 23 = 0.
1/4, 2/7
Let w(t) = t - 4. Let y be w(9). Let f(p) = -p**2 + 3*p + 10. Let a be f(y). Let 2/3*k**2 - 2/3 + a*k = 0. What is k?
-1, 1
Let s be (-168)/(-108)*12/8. Factor -s*h**2 + 0 - 2/3*h.
-h*(7*h + 2)/3
Let g(s) be the third derivative of 0*s + 0*s**3 + 1/120*s**6 - 1/210*s**7 + 0*s**5 + 0 + 0*s**4 - 2*s**2. Determine w so that g(w) = 0.
0, 1
Factor 0 + 4*i**3 + 0 - i**4 + i**2 - 3*i**3 - i.
-i*(i - 1)**2*(i + 1)
Let j(a) be the first derivative of 5*a**4/8 - 5*a**3/6 - 5*a**2/2 + 1. Find m, given that j(m) = 0.
-1, 0, 2
Let v(s) be the second derivative of 1/10*s**6 - 3/10*s**5 + 0*s**4 + 4*s - 3/2*s**2 + s**3 + 0. Solve v(x) = 0.
-1, 1
Let d(c) be the first derivative of -c**5/5 + c**3/3 - 7. Find b such that d(b) = 0.
-1, 0, 1
Suppose 13*g - 12*g = 2. Let n(x) be the first derivative of 4/27*x**3 - 3 - 1/27*x**6 + 1/9*x**g + 0*x**4 + 0*x - 4/45*x**5. Let n(p) = 0. Calculate p.
-1, 0, 1
Let u(b) be the third derivative of b**11/55440 + b**10/9450 + b**9/5040 - b**7/2520 - b**5/60 - 2*b**2. Let l(h) be the third derivative of u(h). Factor l(q).
2*q*(q + 1)**3*(3*q - 1)
Let k(m) be the third derivative of m**7/210 + m**6/120 - m**5/60 - m**4/24 + 13*m**2. Factor k(c).
c*(c - 1)*(c + 1)**2
Let c = -13 - -15. Solve 10 - 13 - 3*m**c + 1 - 7*m = 0 for m.
-2, -1/3
Let b(z) = 4*z**4 + 5*z**3 + z**2 - 3. Let n(j) = -5*j**4 - 6*j**3 - j**2 + 4. Let v = -6 - -9. Let p(i) = v*n(i) + 4*b(i). Factor p(r).
r**2*(r + 1)**2
Let a(s) be the first derivative of -5*s**4/4 + 15*s**2/2 + 10*s + 13. Suppose a(v) = 0. Calculate v.
-1, 2
Let y(r) be the third derivative of 1/300*r**6 + 1/10*r**3 + 8*r**2 + 1/1050*r**7 + 0*r + 0 - 1/60*r**4 - 1/75*r**5. Suppose y(t) = 0. Calculate t.
-3, -1, 1
Suppose -5*c = t + 4, 2*c - 5*c - 6 = 0. Let h = -3 + t. Factor w**2 - 1/2*w - 1/2*w**h + 0.
-w*(w - 1)**2/2
Let x(r) be the second derivative of 5*r**6/24 - 13*r**5/8 + 109*r**4/48 + 13*r**3/2 + 9*r**2/2 + 10*r. Factor x(b).
(b - 3)**2*(5*b + 2)**2/4
Let o = -73 + 220/3. What is q in 2/3*q - 2/3*q**3 + 1/3*q**2 - o = 0?
-1, 1/2, 1
Suppose -4*a - u - 2*u + 7 = 0, -2*u = 6. Let l(j) be the second derivative of 1/12*j**3 + 0 - 4*j - 1/24*j**a + 0*j**2. Suppose l(s) = 0. What is s?
0, 1
Let s = -151 - -301. Suppose -5*g + s = 5*p, -5*p = g - 25 - 21. Determine f, given that 26 + f**2 - g - f = 0.
0, 1
Determine m, given that 0 - 4/3*m - 4*m**5 + 4*m**3 - 10/3*m**4 + 2*m**2 = 0.
-1, 0, 1/2, 2/3
Let x = 31 - 21. Factor -k**5 + 0*k**5 + 6*k**3 + 2*k**2 + 5*k**5 - 2*k - x*k**4.
2*k*(k - 1)**3*(2*k + 1)
Let z(d) be the first derivative of -1/15*d**3 + 1 - 3/10*d**2 + 0*d. Suppose z(o) = 0. What is o?
-3, 0
Suppose 2*v - 3 = 7. Let b(j) = j**2 + 6*j + 2. Let q(r) = -r**2 - 5*r - 1. Let w(f) = v*b(f) + 6*q(f). Factor w(x).
-(x - 2)*(x + 2)
Let f(t) be the second derivative of -t**6/90 - t**5/15 + t**4/18 + 2*t**3/3 - 3*t**2/2 - 18*t. Factor f(a).
-(a - 1)**2*(a + 3)**2/3
Find h such that 3/5*h**2 - 3/5*h + 0 = 0.
0, 1
Factor 3/8*j**4 - 9/8*j**2 + 15/8*j - 3/4 - 3/8*j**3.
3*(j - 1)**3*(j + 2)/8
Let o(w) be the first derivative of -w**7/42 + w**6/10 - 3*w**5/20 + w**4/12 - 4*w - 5. Let r(b) be the first derivative of o(b). Find f, given that r(f) = 0.
0, 1
Let w(k) be the first derivative of k**5 + 2*k**4 - 2*k**3/3 - 4*k**2 - 3*k + 38. Solve w(j) = 0 for j.
-1, -3/5, 1
Suppose 3*d = -5*v + 20, -13*v + 4 = -12*v. Determine i so that 2/9*i**2 + d*i**3 + 0 - 2/9*i**4 + 0*i = 0.
-1, 0, 1
Let l = 700 - 696. Factor 0*i + 0*i**2 + 0 + l*i**5 + 8/5*i**4 + 0*i**3.
4*i**4*(5*i + 2)/5
Let h be 0 - -1 - (6 + 25/(-5)). Suppose 0 + 6/5*n**2 + 4/5*n + h*n**3 - 2/5*n**4 = 0. Calculate n.
-1, 0, 2
Let x be -2 - 1/((-1)/2). Let v(m) be the third derivative of 1/96*m**4 + 0*m - 1/480*m**6 - 1/24*m**3 + 1/240*m**5 - 2*m**2 + x. Let v(s) = 0. Calculate s.
-1, 1
Let h = -10 - -15. Factor h*a**2 + 4*a**2 - 5*a**2 - 4*a - 2*a**2.
2*a*(a - 2)
Let o(f) be the first derivative of -3*f**5/20 + 9*f**4/16 + 5*f**3/4 - 9*f**2/8 - 3*f - 13. Suppose o(h) = 0. Calculate h.
-1, 1, 4
Factor 1/2*z**2 - 1/2 - 1/2*z**3 + 1/2*z.
-(z - 1)**2*(z + 1)/2
Suppose -10*y + 6 = -8*y. Let s(k) be the third derivative of 0 + 1/420*k**6 + 0*k + 1/210*k**5 + 0*k**3 - y*k**2 + 0*k**4. What is j in s(j) = 0?
-1, 0
Let g = 191 - 187. Factor -g*j**2 + 0 + 1/3*j - 64/3*j**4 + 16*j**3.
-j*(4*j - 1)**3/3
Let p(a) be the third derivative of -a**5/60 - a**4/8 - a**3/3 - 4*a**2. Suppose p(m) = 0. What is m?
-2, -1
Suppose 4*r + 4*q = 16, -6*r + 4*r - 5*q = -11. What is k in -4/3*k + 0 - 8/3*k**r - 2/3*k**4 - 10/3*k**2 = 0?
-2, -1, 0
Let i(x) be the first derivative of -x**5/15 - x**4/2 - 8*x**3/9 + x**2 + 3*x + 21. Factor i(w).
-(w - 1)*(w + 1)*(w + 3)**2/3
Let y(j) = -j. Let i(m) = 39*m**2 - 36*m - 6. Let w(u) = -i(u) + 3*y(u). Find s such that w(s) = 0.
-2/13, 1
Let f(h) be the third derivative of -5*h**8/336 + 5*h**7/21 - 3*h**6/2 + 9*h**5/2 - 45*h**4/8 + 41*h**2. Factor f(z).
-5*z*(z - 3)**3*(z - 1)
Suppose -2*g - 3*f = -3*g + 5, 0 = 4*g + 4*f - 4. Suppose 5*i + 15 = -5*z, 15 = -2*i - i. Factor 6*c - 4*c**5 - 4*c**2 - c**3 + 6*c**4 - 3*c**3 + z*c**5 - g.
-2*(c - 1)**4*(c + 1)
Let w(b) be the third derivative of 4/9*b**3 + 0*b + 1/90*b**5 - b**2 + 1/9*b**4 + 0. Factor w(k).
2*(k + 2)**2/3
Let q(d) be the first derivative of -d**7/420 - d**6/60 - d**5/20 - d**4/12 - 2*d**3/3 + 2. Let i(k) be the third derivative of q(k). Factor i(n).
-2*(n + 1)**3
Suppose -3*t = t. Suppose -p + 1 + 1 = 0, 5*n - 4*p - 7 = t. Suppose 1/4*q**2 - 1/4*q**n + 0*q + 0 = 0. What is q?
0, 1
Let a(l) be the first derivative of 2/25*l**5 + 0*l + 1/10*l**2 - 2/15*l**3 + 0*l**4 - 1/30*l**6 + 3. Determine k, given that a(k) = 0.
-1, 0, 1
Let r(a) be the third derivative of a**6/180 - a**5/90 - 21*a**2. Suppose r(f) = 0. What is f?
0, 1
Find b such that -1/5*b**3 + 216/5 - 108/5*b + 18/5*b**2 = 0.
6
Factor -33*j**5 - j**3 - 20*j**2 + 70*j**4 + j**3 - 16*j**5 + 3*j**3 - 4*j.
-j*(j - 1)**2*(7*j + 2)**2
Let t(x) = x - x**3 + 0*x**3 + 16*x**2 - 11 - 4 + x**2. Let c be t(17). Find l such that -6/11*l**c - 2/11*l**3 - 6/11*l - 2/11 = 0.
-1
Suppose 8 = 3*i - i. Find p such that -p**i + 3*p + 6*p**3 + 4*p**4 - 9*p - 3 = 0.
-1, 1
Let i(a) be the second derivative of 0*a**2 + 0 + 2/45*a**6 + 1/15*a**5 - 2/63*a**7 - 1/9*a**4 + 0*a**3 - 4*a. Solve i(x) = 0 for x.
-1, 0, 1
Suppose -11*z + 2 = 2. Let o(w) be the third derivative of 1/32*w**4 + 2*w**2 + 1/20*w**5 + 0*w + 0*w**3 + z. Solve o(k) = 0 for k.
-1/4, 0
Let c(s) be the third derivative of -s**7/1260 - s**6/360 - s**5/360 - 5*s**2. Solve c(n) = 0 for n.
-1, 0
Let i be 186/(-35) + 3 + -1. Let a = i + 54/7. Let