 of -1/150*g**5 + 1/30*g**4 - 1/2*g**2 + 1 + 0*g - 1/15*g**3. Let w(b) be the second derivative of f(b). Factor w(l).
-2*(l - 1)**2/5
Suppose 0*s - 4*s**2 + 7*s**2 + 9*s = 0. Calculate s.
-3, 0
Let p(o) be the second derivative of o**6/10 - 3*o**5/20 - o**4/4 + o**3/2 + 9*o. Let p(x) = 0. Calculate x.
-1, 0, 1
Let d(n) be the first derivative of -9 - 1/2*n**2 + 1/12*n**4 - 2/3*n + 0*n**3. Factor d(c).
(c - 2)*(c + 1)**2/3
Let k(u) be the first derivative of -3/2*u**2 + 1 + 2*u + 1/3*u**3. Find q, given that k(q) = 0.
1, 2
Let b(t) = t**3 + 5*t**2 - 6*t + 4. Let a be b(-6). Factor 4*n - a*n + 32*n**3 + 48*n**2 + 18*n.
2*n*(4*n + 3)**2
Determine h, given that 4/15*h**2 - 16/15*h**4 + 8/5*h**3 - 26/15*h + 2/15*h**5 + 4/5 = 0.
-1, 1, 6
Let w(f) be the second derivative of f**5/200 - f**4/120 - f**3/30 + 8*f. Determine h, given that w(h) = 0.
-1, 0, 2
Let v = -17 - -29. Suppose 0*m + v*m**3 - 10*m**3 - 2*m = 0. Calculate m.
-1, 0, 1
Let t(o) = o**5 + o**2 + o + 1. Let k(l) = 9*l**5 - 14*l**4 + 4*l**3 + 27*l**2 - 3*l - 3. Let f(m) = -k(m) + 5*t(m). Determine p so that f(p) = 0.
-1, -1/2, 1, 2
Factor -2/5*z**3 + 6/5*z**2 - 8/5 + 0*z.
-2*(z - 2)**2*(z + 1)/5
Factor 0 - 3/5*i**4 + 3/5*i**2 - 6/5*i + 6/5*i**3.
-3*i*(i - 2)*(i - 1)*(i + 1)/5
Factor -9/11*y + 1/11*y**3 - 5/11 - 3/11*y**2.
(y - 5)*(y + 1)**2/11
Let m(h) be the first derivative of -7*h**5/10 + 9*h**4/8 - h**3/3 - 37. Factor m(y).
-y**2*(y - 1)*(7*y - 2)/2
Let q(j) be the third derivative of -j**6/720 + j**4/144 + 9*j**2. What is l in q(l) = 0?
-1, 0, 1
Let z(h) = h**3 - 6*h**2 - 4*h - 4. Let d(m) = -m**2 - m - 1. Let a(v) = -12*d(v) + 3*z(v). Find b, given that a(b) = 0.
0, 2
Let y = 3 + -1. Factor -t**5 - 2*t**3 + 9*t**4 - y*t**5 - 4*t**5 + 0*t**4.
-t**3*(t - 1)*(7*t - 2)
Solve 3*g - 5*g - 2*g**3 + 3*g + g = 0.
-1, 0, 1
Let h(s) = s**2 + 4*s + 5. Let c be h(-2). Let v be 0*3/(-9)*c. Factor -2/7*q**2 + 2/7 + v*q.
-2*(q - 1)*(q + 1)/7
Let k(i) be the second derivative of 0 + 0*i**2 + 1/72*i**4 - 3*i + 0*i**3. Factor k(z).
z**2/6
Let l be 4/5 - (-10)/(-25). Factor 0*r + l - 2/5*r**2.
-2*(r - 1)*(r + 1)/5
Suppose 9 = -4*j + 73. Let f be 4/(-6) + j/6. Suppose -2*h**3 - f*h**2 + 7*h**4 - 4*h**3 + h**4 = 0. Calculate h.
-1/4, 0, 1
Factor 0 + 2/5*y**4 + 2/5*y - 2/5*y**2 - 2/5*y**3.
2*y*(y - 1)**2*(y + 1)/5
Let z(r) be the third derivative of -r**8/120 + 19*r**7/525 - r**6/20 + r**5/150 + r**4/30 - 30*r**2. Suppose z(n) = 0. What is n?
-2/7, 0, 1
Let o(m) be the third derivative of m**8/2856 - m**6/510 + m**4/204 - 7*m**2. Suppose o(w) = 0. Calculate w.
-1, 0, 1
Factor 2*l**2 + 0 - 2*l**3 + 2/3*l**4 - 2/3*l.
2*l*(l - 1)**3/3
Let r(i) be the first derivative of -5*i**3/6 + 5*i**2/2 + 15*i/2 - 17. Factor r(o).
-5*(o - 3)*(o + 1)/2
Suppose 3*h + h = 0. Let n(s) = -s + 4. Let o be n(h). Suppose 2/3*y + 4/3*y**o + 0*y**3 - 2/3*y**5 + 0 - 4/3*y**2 = 0. What is y?
-1, 0, 1
Let f(s) be the second derivative of -s**5/210 - s**4/21 - s**3/7 + 2*s**2 + 6*s. Let c(p) be the first derivative of f(p). Let c(h) = 0. What is h?
-3, -1
Let z(g) be the third derivative of -1/12*g**4 - 1/60*g**5 + g**2 + 0*g + 0 + 1/2*g**3. Factor z(h).
-(h - 1)*(h + 3)
Let y(b) be the first derivative of b**8/1008 + b**7/840 - b**6/540 - b**3 + 5. Let j(r) be the third derivative of y(r). Find k, given that j(k) = 0.
-1, 0, 2/5
Let o = 147 - 147. Let x(p) be the second derivative of -3*p + o*p**2 + 1/15*p**4 + 1/50*p**5 + 1/15*p**3 + 0. Factor x(k).
2*k*(k + 1)**2/5
Let h(f) = -f**3 - 3*f**2 + 2. Let i be (6/8)/(2/(-8)). Let k be h(i). Factor k*s**2 + 2*s + 4*s**2 - 4*s**2.
2*s*(s + 1)
Let h(u) = 2*u**5 + 2*u**4 - 2*u**3 - 2*u**2 + 4*u - 4. Let r(f) = -f + 1. Let q be -1*(0 - 1)*1. Let n(b) = q*h(b) + 4*r(b). Find p, given that n(p) = 0.
-1, 0, 1
Let y(d) be the third derivative of 1/20*d**5 - 1/140*d**7 + 1/16*d**4 - 1/40*d**6 + 1/224*d**8 - 1/4*d**3 + 0 + 0*d + 5*d**2. Factor y(l).
3*(l - 1)**3*(l + 1)**2/2
Solve 3/4*l**3 + 0 + 3/4*l + 3/2*l**2 = 0.
-1, 0
Let y(n) = 23*n - 3. Let u be y(-3). Let i be (-142)/u - 10/45. Factor 5/4*x**3 + 1/2*x - i*x**2 + 0.
x*(x - 1)*(5*x - 2)/4
Let 3 + 7 - 10 - u - u**2 = 0. What is u?
-1, 0
Suppose z = -z, -3*r - 4*z = -120. Let x be r/(-10) + (-92)/(-22). Let 4/11*f**4 + x*f**5 + 0 + 0*f**3 - 2/11*f - 4/11*f**2 = 0. What is f?
-1, 0, 1
Let o(a) be the third derivative of -a**6/360 - a**5/120 + a**3/3 + 2*a**2. Let n(i) be the first derivative of o(i). Factor n(v).
-v*(v + 1)
Let q be 0 + (-2)/(-4)*84/189. Factor 4/9*n + q*n**2 - 2/9*n**3 + 0.
-2*n*(n - 2)*(n + 1)/9
Let h(f) be the third derivative of -f**5/50 - f**4/4 - 4*f**3/5 + 36*f**2. Determine g, given that h(g) = 0.
-4, -1
Let z(h) be the first derivative of 2*h**5/25 + 2*h**4/5 + 8*h**3/15 + 24. Solve z(v) = 0.
-2, 0
Factor 4/5*g**2 + 0 - 1/5*g.
g*(4*g - 1)/5
Suppose 10 = 2*t, 0*t - 819 = 4*s + 5*t. Let z = s + 1901/9. Let 2/9*o**3 - 2/9*o**2 - 2/9*o + z = 0. Calculate o.
-1, 1
Let r(l) = 9*l**3 - l**2 + 4*l - 4. Let o(a) = a**4 + 10*a**3 - a**2 + 5*a - 5. Let u(h) = 4*o(h) - 5*r(h). Let u(f) = 0. Calculate f.
0, 1/4, 1
Factor -c - 1/2*c**2 + 0.
-c*(c + 2)/2
Let s(h) be the third derivative of h**8/4032 - h**7/720 + h**6/360 + h**5/60 + 3*h**2. Let g(v) be the third derivative of s(v). Factor g(q).
(q - 1)*(5*q - 2)
Let u(s) be the first derivative of s**8/420 + s**7/70 + s**6/360 - s**5/10 + s**4/6 - 4*s**3/3 - 5. Let m(p) be the third derivative of u(p). Factor m(b).
(b + 2)**2*(2*b - 1)**2
Let z be (-5 - -2)/(12/(-88)). Factor -z*w - 2*w**3 + w**2 + 22*w + w**4.
w**2*(w - 1)**2
Let a be (4*3/(-6))/(-2). Factor 2*o + 1 + a + 1 + o**2 - 2.
(o + 1)**2
Let z(v) = -135*v**2 - 215*v - 45. Let i(t) = 15*t**2 + 24*t + 5. Let h(o) = 35*i(o) + 4*z(o). Factor h(a).
-5*(a + 1)*(3*a + 1)
Let a = 7 - 4. Factor 2*b - 4*b**2 + 4 + b**a + 0*b - 3*b**3.
-2*(b - 1)*(b + 1)*(b + 2)
Let d(t) = -t**2 + 4*t. Let l be d(3). What is i in 6*i**l + 12*i**2 - 4*i**5 - 3*i + i**5 + 12*i**4 + 0*i**5 - 24*i**3 = 0?
0, 1
Let g be (-2)/(8/(-13)) - (-24)/(-8). Determine u so that -3/4*u**2 - 3/4*u - g*u**3 - 1/4 = 0.
-1
Let r(k) = -17*k**2 - 16*k - 17. Let p(i) = 4*i**2 + 4*i + 4. Let n(d) = 18*p(d) + 4*r(d). Determine z so that n(z) = 0.
-1
Factor 10*t**2 + 3*t**3 + 2*t**3 + 4*t + t.
5*t*(t + 1)**2
Let z(v) = -3*v**3 - v**2 - 2*v - 1. Let f be z(-1). Factor -1 - x + f*x**2 - 5 + 4*x.
3*(x - 1)*(x + 2)
Let z be (-2)/(-3)*(-9)/(-6). Let r be z*-1 + (-1 - -4). Find o such that o + 1/2*o**r + 1/2 = 0.
-1
Let s(y) be the first derivative of -y**6/12 - 2*y**5/5 - 3*y**4/8 + 25. Solve s(f) = 0 for f.
-3, -1, 0
Let -180*r - 3 + 0*r**3 + 30*r**3 + 111 + 39*r**2 + 3*r**4 = 0. Calculate r.
-6, 1
Let y(v) be the first derivative of -1/3*v**2 - 1/3*v**3 + 2 - 1/12*v**4 + 0*v. What is n in y(n) = 0?
-2, -1, 0
Let o(j) = 2*j - 1. Let f be o(2). Let z = -137/3 + 46. Find x, given that z*x - 1/3*x**f + 0 + 0*x**2 = 0.
-1, 0, 1
Suppose 24*p + 20 - 68 = 0. Suppose -4/5*j + 6/5 - 2/5*j**p = 0. What is j?
-3, 1
Let o be (-3)/(-39) + (-35)/(-52). What is h in 1/4*h**3 - 1/2 - o*h**4 - 1/4*h + 5/4*h**2 = 0?
-1, -2/3, 1
Let f be (-1 - 1)*-2*1. Factor -3*a**2 + 2*a**3 + 3*a**f + 0*a**3 + 1 - 2*a - 1.
a*(a - 1)*(a + 1)*(3*a + 2)
Let d(j) = 10*j**4 - 55*j**3 + 90*j**2 - 5*j. Let p(b) = 5*b**4 - 28*b**3 + 45*b**2 - 2*b. Let i(n) = -2*d(n) + 5*p(n). Factor i(g).
5*g**2*(g - 3)**2
Let x = 23 - 18. Suppose -x*h + 3 = -7. Let 4/7*d**h + 0 + 2/7*d - 4/7*d**4 - 2/7*d**3 = 0. What is d?
-1, -1/2, 0, 1
Let t(n) be the second derivative of -n**7/231 - n**6/165 + n**5/110 + n**4/66 + 6*n. Factor t(u).
-2*u**2*(u - 1)*(u + 1)**2/11
Solve 21/5 + 3*l**2 - 3/5*l**3 + 39/5*l = 0 for l.
-1, 7
Let i(v) = v + 4. Let y be i(-2). Factor 5*z**2 - 3*z**2 - 2 + y*z**2 - 2*z**2.
2*(z - 1)*(z + 1)
Let q(l) = -4*l**2 - 27*l - 39. Let w(x) = -4*x**2 - 26*x - 38. Let o(c) = -2*q(c) + 3*w(c). Factor o(k).
-4*(k + 3)**2
Suppose -3*b - 130 = -2*y, 0 = 3*b + 3*y + 2*y + 95. Let t be -5 + 3 + b/(-18). Factor 0*l**3 + 0*l + 0*l**2 + 0 - t*l**4.
-2*l**4/9
Let j(a) be the first derivative of -2*a**3 + a**2/2 + a + 1. Let s(d) = 0*d - 3 - d + 2 + d**2. Let b(f) = j(f) + 5*s(f). Find w, given that b(w) = 0.
-2
Factor 0 - 6/5*c + 2/5*c**2.
2*c*(c - 3)/5
Let j be (-14)/(-88) - -3 - 3. Let g = j + 1/44. Determine t, given that 8/1