/(-2)). Factor -1/5*x**4 + 0 + z*x**2 - 1/5*x**5 + 1/5*x**3 + 0*x.
-x**2*(x - 1)*(x + 1)**2/5
Let a be ((-13)/30 - (-64)/480)*-10. Factor -3/10*m - 1/5 + 3/10*m**a + 1/10*m**4 + 1/10*m**2.
(m - 1)*(m + 1)**2*(m + 2)/10
Factor 1/3*z**4 + 0*z - 1/3*z**2 + 0 - 1/3*z**5 + 1/3*z**3.
-z**2*(z - 1)**2*(z + 1)/3
Let f(r) be the first derivative of 0*r + 2/35*r**5 - 1 + 1/21*r**6 + 0*r**2 + 0*r**4 + 0*r**3. Factor f(j).
2*j**4*(j + 1)/7
Let g(v) = -2*v**2 + 2*v + 12. Let k be g(-2). What is f in 2/3*f**4 - 1/3*f + 1/3*f**5 + 0*f**3 - 2/3*f**2 + k = 0?
-1, 0, 1
Let n(m) = -m**2 - 4*m + 3. Let l be n(-4). Suppose 11*v - 11*v - 2*v**l - 2*v**2 = 0. What is v?
-1, 0
Factor 5/9*m + 1/9*m**3 + 2/9 + 4/9*m**4 - 4/3*m**2.
(m - 1)**2*(m + 2)*(4*m + 1)/9
Factor -x**3 + 80*x + 9*x**3 - 3*x**3 + 40*x**2.
5*x*(x + 4)**2
Let s(x) be the first derivative of x**4/18 + 2*x**3/9 - x**2 - 6*x + 13. Factor s(i).
2*(i - 3)*(i + 3)**2/9
Factor 2*w**2 + 0 - 4/3*w**3 - 8/9*w + 2/9*w**4.
2*w*(w - 4)*(w - 1)**2/9
Let d(n) = n**3 + n. Suppose 0 = -7*w + 2*w + 30. Let u(q) = 3*q**5 + 3*q**4 - 6*q**2 + 9*q + 3. Let p(x) = w*d(x) - u(x). Solve p(l) = 0.
-1, 1
Let p(d) = -d**3 + 4*d**2 + 3*d**2 - 1 + 1. Let x be p(7). Factor -3/2*i**4 + x*i + 5/2*i**3 - i**2 + 0.
-i**2*(i - 1)*(3*i - 2)/2
Suppose 0*r + 2*r = 6. Determine x so that 2*x + x**3 + 0*x**r + 2 - 2*x**2 + 4*x - 7*x = 0.
-1, 1, 2
Let i(t) = 1. Let u(z) = 5*z**2 - 5*z - 16. Let r(x) = -6*i(x) - u(x). Find o such that r(o) = 0.
-1, 2
Let j(i) be the third derivative of i**6/450 + 2*i**5/75 + i**4/10 + 5*i**3/3 + 8*i**2. Let w(t) be the first derivative of j(t). Factor w(q).
4*(q + 1)*(q + 3)/5
Solve 0 + 2/21*w**3 + 0*w + 2/21*w**2 = 0 for w.
-1, 0
Factor -1 - 1/2*u**2 + 3/2*u.
-(u - 2)*(u - 1)/2
Factor 1/2 + 3/4*p**2 + 7/2*p**3 - 9/4*p.
(p + 1)*(2*p - 1)*(7*p - 2)/4
Let g = 3 + -2. Let s = 1 + g. Factor v**5 - 2*v + 0*v**4 + s*v**4 + v**5 + 4*v**2 - 6*v**4.
2*v*(v - 1)**3*(v + 1)
Let o(w) be the first derivative of -15/2*w**2 + 4*w**3 + 6*w - 3/4*w**4 + 7. Find q, given that o(q) = 0.
1, 2
Let h(f) = -f**2 + 12*f - 16. Let v be h(11). Let j = v + 5. Factor j - 2/5*p + p**2.
p*(5*p - 2)/5
Suppose -8 + 3 = -5*b. Let q be b*-2 - 40/(-10). Let -q*o**3 - 4*o + 4/3 + 13/3*o**2 + 1/3*o**4 = 0. What is o?
1, 2
Let -5/2*j**2 - 40 + 20*j = 0. Calculate j.
4
Let n(p) = 18*p - 1. Let o be n(-1). Let v = -15 - o. Solve -3/2*r**v + 1/2 + r**2 + r**3 - 3/2*r + 1/2*r**5 = 0.
-1, 1
Let s(i) be the second derivative of i**7/189 + i**6/135 - i**5/45 - i**4/27 + i**3/27 + i**2/9 + 8*i. Factor s(y).
2*(y - 1)**2*(y + 1)**3/9
Let p(w) = 7*w**2 - 7. Let b(s) = -s**2 + 1. Let f be 1/(-3) - (-2)/6. Let h = -1 - f. Let o(v) = h*p(v) - 6*b(v). Find z, given that o(z) = 0.
-1, 1
Let v(t) be the third derivative of -t**8/504 + t**7/315 + t**6/180 - t**5/90 + t**2. Find m, given that v(m) = 0.
-1, 0, 1
Let n(p) = -p**2. Let x(m) = 9*m**2 - 12*m + 8. Let h(t) = 5*n(t) + x(t). Factor h(z).
4*(z - 2)*(z - 1)
Let c(s) be the first derivative of 2*s**3/9 - s**2/3 - 4*s/3 - 7. Factor c(i).
2*(i - 2)*(i + 1)/3
Let z(u) be the first derivative of u**4/2 + 2*u**3 + 2*u**2 + 5. Factor z(n).
2*n*(n + 1)*(n + 2)
Solve 2/5*d**5 + 0*d**4 + 0*d + 0 + 0*d**2 - 2/5*d**3 = 0 for d.
-1, 0, 1
Let n(i) be the second derivative of 0*i**2 - 4*i + 1/3*i**3 - 1/21*i**7 + 1/3*i**4 + 0*i**5 - 2/15*i**6 + 0. Let n(r) = 0. What is r?
-1, 0, 1
Let u(i) be the first derivative of -4 - 2/25*i**5 - 2/5*i - 4/5*i**3 + 4/5*i**2 + 2/5*i**4. Let u(t) = 0. What is t?
1
Let -1/5 - 2/5*q**3 + 0*q**2 + 2/5*q + 1/5*q**4 = 0. What is q?
-1, 1
Let d(i) = i**3 - 2*i**2 + 2*i - 2. Suppose 2*b + 4*l + 22 = 3*b, -5*l - 31 = -3*b. Let w be d(b). Factor 0*o + 2/5*o**w + 0.
2*o**2/5
Let f(g) = -5*g**4 - 6*g**3 + 20*g**2 + 6*g - 19. Let z(u) = 5*u**4 + 5*u**3 - 20*u**2 - 5*u + 20. Let s(d) = -5*f(d) - 4*z(d). Let s(j) = 0. Calculate j.
-3, -1, 1
Factor -38/7*b - 4/7 + 6*b**2.
2*(b - 1)*(21*b + 2)/7
Suppose 4*h = -3*s - 0*s - 28, -h + 2*s - 18 = 0. Let r be 111/15 + 4/h. Solve -2*p**5 + r*p**4 + p**2 - 3*p**4 + 2*p - 5*p**2 = 0 for p.
-1, 0, 1
Let i(f) be the first derivative of 0*f**2 + 3*f**5 + 0*f - 6*f**4 - 1/2*f**6 - 3 + 4*f**3. Factor i(l).
-3*l**2*(l - 2)**2*(l - 1)
Let d = 16 - 11. Let j(c) be the first derivative of -1 + 1/5*c**d + 0*c - 1/2*c**2 + c**3 - 3/4*c**4. Solve j(h) = 0 for h.
0, 1
Let m = 40188 + -4018839/100. Let c = 9/25 - m. Find g, given that -3/4*g**3 + 0 + 3/4*g**2 - 3/4*g**4 + c*g = 0.
-1, 0, 1
Let t(u) be the first derivative of u**6/27 - 4*u**5/45 - u**4/6 + 16*u**3/27 - 4*u**2/9 - 1. Let t(d) = 0. What is d?
-2, 0, 1, 2
Let b = -9/43 - -389/215. Determine y so that 8/5*y - b - 2/5*y**2 = 0.
2
Let r(d) be the second derivative of -d**5/50 + d**4/5 - 4*d**3/5 + 8*d**2/5 + 25*d. Find c such that r(c) = 0.
2
Suppose -9 = 3*h + 6*l - 3*l, 2*h - 4*l = 12. Solve -6*j**2 - 2*j + h*j**3 - 2*j**3 + 2*j**2 = 0 for j.
-1, 0
Let b be (-12)/8*(0 - 4/54). Let r(y) be the second derivative of -1/6*y**4 + b*y**6 + 7/30*y**5 + 0 + 2*y - 7/9*y**3 - 2/3*y**2. Determine f so that r(f) = 0.
-1, -2/5, 1
Let t = 116 + -577/5. Find x such that t*x**3 + 0 + 0*x - 3/5*x**2 = 0.
0, 1
Factor -2/7*o**2 - 8/7*o - 8/7.
-2*(o + 2)**2/7
Factor 0 - 2/3*w**3 - 2/3*w + 4/3*w**2.
-2*w*(w - 1)**2/3
Let f(o) = o**3 + 2*o**2 + 3*o - 2. Let j(s) = -3*s**3 - 4*s**2 - 7*s + 4. Let v(i) = 5*f(i) + 2*j(i). Determine p, given that v(p) = 0.
-1, 1, 2
Let d(q) be the first derivative of -q**4/2 - 4*q**3/3 + 3*q**2 - 7. Let d(w) = 0. Calculate w.
-3, 0, 1
Let r(s) be the third derivative of -s**5/390 - s**4/78 - s**3/39 + 11*s**2. Factor r(d).
-2*(d + 1)**2/13
Find h, given that 0*h + 8/7 + 2/7*h**3 - 6/7*h**2 = 0.
-1, 2
Let r = -166/3 + 56. Let g be ((-2)/6)/1*-8. Determine z so that 6*z**2 + 4*z + r + g*z**3 = 0.
-1, -1/4
Let v = 8 - 14. Let s be -1*(-2)/(-4)*v. Let x(q) = 2*q**2 - 9*q + 1. Let o(z) = -4*z**2 + 17*z - 3. Let n(t) = s*o(t) + 5*x(t). Factor n(b).
-2*(b - 2)*(b - 1)
Let t(r) be the first derivative of 1/3*r**2 + 0*r**4 - 1/3*r**3 - 1 + 0*r + 1/15*r**5. Factor t(w).
w*(w - 1)**2*(w + 2)/3
Let n(z) be the first derivative of -z**4/14 - 2*z**3/21 - 5. Find r, given that n(r) = 0.
-1, 0
Let o(j) be the third derivative of -j**7/1050 - j**6/600 + j**5/300 + j**4/120 + 3*j**2. Find z such that o(z) = 0.
-1, 0, 1
Suppose 2*f = 0, 5*t - 18 = -5*f - 8. Suppose t*q + j = -1 + 8, -4*q = 5*j - 23. Determine c, given that 2/7*c**4 + 0 + 0*c + 4/7*c**3 + 2/7*c**q = 0.
-1, 0
Suppose f = x - 7, 4*x - 2*f + 4*f = 4. Let -o**2 + 7*o**2 - o**2 + 2*o**3 + 2*o**x + o = 0. What is o?
-1, -1/4, 0
Let p = 34 - 19. Determine y, given that -15*y**3 - 7*y**5 - 4*y**4 - y**2 + 101*y - p*y**4 - 99*y = 0.
-1, 0, 2/7
Let v be 15/(-63) - 16/(-28). Find o, given that -v*o**5 - 1/3*o**2 - o**3 + 0*o + 0 - o**4 = 0.
-1, 0
Let n = -2/145 - -586/435. Suppose -4*m = -s - 11, 5*m - 4*m + 5*s - 8 = 0. What is z in 0 - 49/3*z**4 + 28/3*z**m - n*z**2 + 0*z = 0?
0, 2/7
Let l be (5/(-10))/(6/1725). Let h = -143 - l. Suppose -3/4*r - h*r**2 + 3/2 = 0. What is r?
-2, 1
Let m(f) be the first derivative of 7*f**6/18 + 2*f**5 + 25*f**4/6 + 40*f**3/9 + 5*f**2/2 + 2*f/3 + 14. Let m(u) = 0. Calculate u.
-1, -2/7
Let w(i) be the first derivative of i**3/3 + 6*i**2 + 36*i + 17. Find x, given that w(x) = 0.
-6
Suppose g + 8 = -3*g. Let i(n) = n + 2. Let b be i(g). Let -2*p**2 + 5*p + p**3 + b*p**3 - 4*p = 0. Calculate p.
0, 1
Factor -4*w**5 + 0*w**4 - 4*w**4 - 14*w**3 + 22*w**3.
-4*w**3*(w - 1)*(w + 2)
Let h(n) be the second derivative of n**5/40 + n**4/16 - 3*n**2 - 3*n. Let d(u) be the first derivative of h(u). Factor d(g).
3*g*(g + 1)/2
Let v = 277/545 + 10/109. Suppose 9/5*f + v*f**2 + 6/5 = 0. Calculate f.
-2, -1
Factor 2/5*r**3 - 162/5 + 198/5*r - 38/5*r**2.
2*(r - 9)**2*(r - 1)/5
Let p(w) be the first derivative of 5*w**3/3 - 5*w**2 + 5*w - 4. Factor p(k).
5*(k - 1)**2
Let d = 9 + 0. Suppose -3*v + 0*v = -d. Find a, given that 3*a**5 - 11*a**3 + 7*a**v - a**5 + 0*a**5 + 2*a = 0.
-1, 0, 1
Let g(b) be the second derivative of b**5/4 - 5*b**4/12 - 10*b**3/3 + 10*b**2 - 30*b. Factor g(d).
5*(d - 2)*(d - 1)*(d + 2)
Let l = 2 - 2. Suppose l = 5*f - 15 - 5. Factor 3*g**2 + g**2 + g - 3*g - f*g**4 + 2*g**5.
2*g*(g - 1)**3*(g + 1)
Let a(v) be the first derivativ