**5/30 + g**4/12 - 18*g**2. Factor r(b).
2*b*(b + 1)
Let j = -14 + 18. Let w be (-5)/((-45)/j)*6. Suppose -56/3*n + w + 98/3*n**2 = 0. What is n?
2/7
Let o(a) be the first derivative of -1/2*a**4 + a**2 + 4/7*a + 2 - 4/21*a**3. Suppose o(u) = 0. Calculate u.
-1, -2/7, 1
Factor -2*f + 6 + 0*f**2 + 0*f - 3 - 5*f**2.
-(f + 1)*(5*f - 3)
Let a(g) be the third derivative of -4*g**7/105 - 13*g**6/60 - g**5/2 - 7*g**4/12 - g**3/3 + 15*g**2. What is p in a(p) = 0?
-1, -1/4
Suppose -8 = -4*h - 0*h. Factor 2/7*c**3 - 2/7*c**h + 0 - 2/7*c + 2/7*c**4.
2*c*(c - 1)*(c + 1)**2/7
Suppose 0 + 8/9*h - 4/9*h**4 + 2/3*h**3 + 16/9*h**2 - 2/9*h**5 = 0. Calculate h.
-2, -1, 0, 2
Suppose 2*t - u + 0 + 1 = 0, -5*t + 3 = 3*u. Let o(r) be the first derivative of -2 + 2/9*r**3 + t*r + 1/3*r**2. Factor o(p).
2*p*(p + 1)/3
Let h(j) = -j**3 + j**2 - j - 1. Let b be 10/(-6) - 6/(-9). Let u be h(b). Factor v**2 + 5*v**2 - 5*v**u + 2*v.
v*(v + 2)
Let j = 5888/14745 - -2/2949. Factor j*u**2 - 4/5*u + 2/5.
2*(u - 1)**2/5
Let x(g) = -g**3 + g - 1. Let q(l) = -l**5 + 3*l**4 - 5*l**3 + 3*l - 3. Let m be (-66)/36 + (-1)/6. Let d(f) = m*q(f) + 6*x(f). Factor d(w).
2*w**3*(w - 2)*(w - 1)
Factor 2 - 2*h**3 - h + h**2 + 3*h - 3*h**2.
-2*(h - 1)*(h + 1)**2
Let k(o) be the first derivative of -4*o**3/3 - 6*o**2 - 8*o + 41. Let k(q) = 0. Calculate q.
-2, -1
Suppose a + 11 = 4*d, 2*d = -3*d + 3*a + 19. Suppose d*g + 4 = 3*g. Suppose -2*n**4 + 9*n**2 + 4 + 2*n**3 - 6*n + g*n**3 - 11*n**2 = 0. What is n?
-1, 1, 2
Let k be -1*2*(-4 - -3). Let v(s) be the second derivative of 1/21*s**7 - 2/3*s**4 - 4/15*s**6 + 0 + 1/3*s**3 + k*s + 3/5*s**5 + 0*s**2. Factor v(i).
2*i*(i - 1)**4
Let a be ((2 - 4) + 2)/(-1). Let c(t) be the third derivative of -1/480*t**6 - 1/24*t**3 + 0*t - t**2 + 1/96*t**4 + 1/240*t**5 + a. Factor c(l).
-(l - 1)**2*(l + 1)/4
Let c be 0 - ((-174)/198 + 24/44). Factor -c*o**2 + 1/3 + 0*o.
-(o - 1)*(o + 1)/3
Factor -3*o**2 + 0*o**2 - 18*o + 18*o.
-3*o**2
Let n be (-5 - -9)*1/26. What is j in -6/13*j**2 - 10/13*j - 4/13 + n*j**3 + 2/13*j**4 = 0?
-1, 2
Factor -8/9 + 32/9*v - 14/9*v**2.
-2*(v - 2)*(7*v - 2)/9
Let g(k) = -k - 1. Let y(c) = 3*c**2 - 3*c - 12. Let j(d) = -6*g(d) + y(d). Solve j(f) = 0.
-2, 1
Let h(q) be the third derivative of 0 - 7/40*q**4 - 1/10*q**3 - 2/25*q**5 - 2*q**2 + 2/25*q**6 + 0*q. Find o such that h(o) = 0.
-1/4, 1
Let -8*i**2 - 10*i + 17*i**2 - 14*i**2 = 0. Calculate i.
-2, 0
Let u(f) = f**2 + 4*f + 3. Let a be u(-5). Suppose -5*i + 7505 = 2430. Factor 108*x + i*x**3 - 470*x**2 - 8 + 151*x**5 - a*x - 980*x**4 + 192*x**5.
(x - 1)**2*(7*x - 2)**3
Let u(n) be the first derivative of -n**6/90 + n**5/30 - n**4/36 + 2*n + 4. Let g(m) be the first derivative of u(m). Determine p so that g(p) = 0.
0, 1
Factor 4*w**3 - 2*w**5 - 2954*w**4 - 2*w + 2954*w**4.
-2*w*(w - 1)**2*(w + 1)**2
Let u(m) = m**2 + 10*m + 1. Let h(f) = -f**2 - 20*f - 1. Let k(y) = 4*h(y) + 9*u(y). Factor k(j).
5*(j + 1)**2
Suppose -u**2 - 2*u**2 + 1 + 2*u**2 + 3 = 0. What is u?
-2, 2
Let f(t) be the first derivative of t**4/16 + 5*t**3/12 + t**2 + t - 16. Find u, given that f(u) = 0.
-2, -1
Let s(o) be the second derivative of 16/3*o**3 + 5*o - 5/2*o**5 + 0 + 4*o**2 + 5/6*o**4. Factor s(z).
-2*(z - 1)*(5*z + 2)**2
Suppose 0 + 2/5*z**2 - 6/5*z = 0. Calculate z.
0, 3
Let l(n) be the first derivative of 3*n**4/2 + 4*n**3 + 4*n**2 - 3*n - 1. Let b(a) be the first derivative of l(a). Find p, given that b(p) = 0.
-2/3
Let j(n) be the second derivative of n**4/18 + n**3/3 + 2*n**2/3 + 4*n + 12. Factor j(u).
2*(u + 1)*(u + 2)/3
Let u(r) = -8*r**3 - 7*r**2 - 20*r - 1. Let b(s) = 33*s**3 + 27*s**2 + 81*s + 3. Let t(i) = 5*b(i) + 21*u(i). Factor t(k).
-3*(k + 1)**2*(k + 2)
Let o(h) be the first derivative of -h**6/15 - 6*h**5/25 - h**4/5 + 4*h**3/15 + 3*h**2/5 + 2*h/5 - 2. Factor o(p).
-2*(p - 1)*(p + 1)**4/5
Let v = 15 - 11. Suppose v*c = -2*y + 6, 5*c + y = 2*y + 18. Determine a so that a - 3*a**3 + 4*a**2 - c*a + 6*a**3 - 5*a**3 = 0.
0, 1
Let m(u) = -5*u**2 + 21*u - 72. Let d(n) = n**2 + n. Let y(o) = 3*d(o) + m(o). Factor y(k).
-2*(k - 6)**2
Factor -11*y**2 + 11*y**2 + 121 - 3*y**2 + 4*y**2 + 22*y.
(y + 11)**2
Suppose r + 0*r = 4. Suppose -3*c - 2 = -u - 6*c, -5*c + 6 = 3*u. Suppose 1/2*a**u + 0 + 0*a - 1/2*a**r - 1/2*a**5 + 1/2*a**3 = 0. Calculate a.
-1, 0, 1
Suppose -2*y = 2*a - 2, -a + 1 = -3*y - 2*y. Let w be a/3*(-2 - -3). Solve -w*m**5 - 1/3*m + 0*m**4 + 0 + 0*m**2 + 2/3*m**3 = 0 for m.
-1, 0, 1
Suppose -2*d + 6 = 2. Find y, given that -18*y - 14*y**3 - 4 - 36*y**d - 4*y + 4*y**2 = 0.
-1, -2/7
Let s(l) be the second derivative of -1/4*l**4 + 1/20*l**6 + 0*l**3 - 9*l + 0 + 3/4*l**2 + 0*l**5. Solve s(g) = 0.
-1, 1
Let m(n) = -3*n**2 + 139*n - 643. Let l(z) = -5*z**2 + 209*z - 965. Let x(g) = 5*l(g) - 7*m(g). Find y, given that x(y) = 0.
9
Let y(a) be the first derivative of 1/3*a**3 + 1 + 0*a + 0*a**2 - 1/4*a**4. Solve y(o) = 0 for o.
0, 1
Solve -3/4*p**2 - 3/4*p + 3/4 + 3/4*p**3 = 0 for p.
-1, 1
Let y be 3/4*(-2)/(-21). Let m(i) be the second derivative of 5/21*i**3 + 2*i - 2/7*i**2 - y*i**4 + 0. Factor m(k).
-2*(k - 1)*(3*k - 2)/7
Let j be 3/1 + -3 + 2. Find u such that 0*u**3 + 3*u**3 - 2*u**j - 4*u**2 = 0.
0, 2
Let g(x) be the second derivative of -x**4/30 - 2*x**3/15 - x**2/5 - 8*x. Factor g(q).
-2*(q + 1)**2/5
Let a(s) = -12*s**3 + 15*s**2 + 21*s - 12. Let j(i) be the second derivative of i**2/2 + 6*i. Let w(m) = -a(m) - 6*j(m). Factor w(x).
3*(x - 2)*(x + 1)*(4*x - 1)
Let b(y) = y + 7. Let v be b(-5). Let w = 8/3 - v. Find k such that 2/3*k**3 + w - 2/3*k - 2/3*k**2 = 0.
-1, 1
Let k(r) be the third derivative of 0*r**3 + 1/108*r**4 + 0 - 2*r**2 + 1/270*r**5 + 0*r. Factor k(i).
2*i*(i + 1)/9
Factor -5/6 - 5*t**2 - 5/6*t**4 - 10/3*t**3 - 10/3*t.
-5*(t + 1)**4/6
Let g(l) be the second derivative of -l**5/5 + 8*l**3/3 - 2*l. Factor g(r).
-4*r*(r - 2)*(r + 2)
Let g(d) be the second derivative of 0*d**2 + 1/90*d**6 - d + 0*d**3 + 0 + 1/36*d**4 - 1/30*d**5. Let g(m) = 0. Calculate m.
0, 1
Let t(i) be the second derivative of 0*i**2 + 0*i**5 + 0 + 1/12*i**4 - 3*i + 1/12*i**3 - 1/84*i**7 - 1/30*i**6. Factor t(l).
-l*(l - 1)*(l + 1)**3/2
Let z(w) be the first derivative of -w**5/5 + w**4/4 + w**3/3 - w**2/2 - 6. Factor z(b).
-b*(b - 1)**2*(b + 1)
Suppose -3*u + 16 = u. Factor -1/5*i**2 - 3/5*i**3 - 3/5*i**u + 0 - 1/5*i**5 + 0*i.
-i**2*(i + 1)**3/5
Let m(s) = -s**3 + 3*s**2 + 5*s + 3. Let a(g) = 2*g**3 - 7*g**2 - 10*g - 6. Let o(p) = 2*a(p) + 5*m(p). Factor o(l).
-(l - 3)*(l + 1)**2
Let v(x) be the first derivative of x**4/8 - x**3/2 + x**2/2 - 6. Factor v(i).
i*(i - 2)*(i - 1)/2
Let j be (((-12)/(-16))/(-1))/((-2)/8). Let w(d) be the first derivative of -3*d + 9/4*d**2 - 3/8*d**4 + 0*d**j + 1. Factor w(a).
-3*(a - 1)**2*(a + 2)/2
Let i(n) be the second derivative of -n**7/21 - n**6/5 - 3*n**5/10 - n**4/6 + 8*n. Factor i(z).
-2*z**2*(z + 1)**3
Let t(l) be the third derivative of l**6/180 - l**4/12 + 2*l**3/9 - 19*l**2. Find i such that t(i) = 0.
-2, 1
Let d(m) be the third derivative of -m**8/2240 - 5*m**4/24 + 5*m**2. Let b(u) be the second derivative of d(u). Determine o, given that b(o) = 0.
0
Suppose -10 = -5*a + 3*f - 5*f, -5*f = 0. Determine h so that -h - 2/3 - 1/3*h**a = 0.
-2, -1
Let f = -787/168 - -39/8. Let o(g) be the first derivative of -1 + 0*g + 0*g**2 - f*g**3 - 9/14*g**4 - 2/5*g**5. Suppose o(x) = 0. Calculate x.
-1, -2/7, 0
Suppose 3*m = -s + 1 - 3, 0 = 3*m - 3*s - 6. Let d(b) be the second derivative of 0*b**5 - 1/11*b**2 - 1/165*b**6 - b + 1/33*b**4 + 0 + m*b**3. Factor d(f).
-2*(f - 1)**2*(f + 1)**2/11
Determine b, given that 7*b - 3*b**5 - 8*b**4 + 8*b**2 - b - 2*b - b**5 = 0.
-1, 0, 1
Suppose 12 + 2 = 2*h - 2*a, -2*h - 2*a = 6. Factor -3 + 4 - 2*z**2 + h*z**4 - 1.
2*z**2*(z - 1)*(z + 1)
Let g(l) be the third derivative of l**7/210 + l**6/10 + 3*l**5/5 + 4*l**2. Determine t, given that g(t) = 0.
-6, 0
Let a(n) be the second derivative of -2/55*n**5 + 3/11*n**3 + 4/55*n**6 - 2/11*n**2 + n - 5/231*n**7 + 0 - 5/33*n**4. Solve a(o) = 0 for o.
-1, 2/5, 1
Let m be 4/30 - 16/120. Factor -3/7*d**2 + m - 3/7*d.
-3*d*(d + 1)/7
Let s(r) be the second derivative of 0 - 1/42*r**7 - 3/20*r**5 - 1/12*r**4 - 1/10*r**6 + 0*r**2 + r + 0*r**3. Factor s(v).
-v**2*(v + 1)**3
Let j be (-40)/(-12)*(2 - 