Let h be u(3). Find q such that -t*q + h*q**2 + 0 = 0.
0, 1/4
Suppose 4*l + 1 = s + 3*l, -23 = -5*s - 4*l. Determine v, given that -22*v**s - 2*v**5 - v**4 - v**4 + 2*v**2 + 24*v**3 = 0.
-1, 0, 1
Let s(k) be the first derivative of -k**3/12 - k**2/2 - k + 13. Factor s(w).
-(w + 2)**2/4
Let m = 2 + 0. Factor -f + 7*f - 5*f + f**2 - m.
(f - 1)*(f + 2)
Let h(b) be the second derivative of -b**5/20 - b**4/6 - b**3/6 - b. Factor h(r).
-r*(r + 1)**2
Let f(i) be the first derivative of -i**5/240 - i**4/96 - i**2 + 2. Let a(j) be the second derivative of f(j). Factor a(q).
-q*(q + 1)/4
Let v(o) be the second derivative of o**8/1176 - 4*o**7/735 + o**6/84 - o**5/105 - 3*o**2 + 2*o. Let m(h) be the first derivative of v(h). Factor m(w).
2*w**2*(w - 2)*(w - 1)**2/7
Let g = -223/51 - -80/17. Factor 5/3*f - g*f**2 + 1/3 - 5/3*f**3.
-(f - 1)*(f + 1)*(5*f + 1)/3
Let l(v) = 5*v**3 - 1. Let p be l(1). Factor 8*n**3 - 8*n - p*n**4 - 4 + 4 + 4.
-4*(n - 1)**3*(n + 1)
Factor 1/9*n**5 + 2/3*n**3 - 4/9*n**2 - 4/9*n**4 + 1/9*n + 0.
n*(n - 1)**4/9
Let n = -66 + 68. Let p(c) be the first derivative of n + c**4 - 4/3*c**3 - 2*c + 1/3*c**6 + 6/5*c**5 - 3*c**2. Factor p(x).
2*(x - 1)*(x + 1)**4
Let h be -4 + 100/96 + 3. Let k(t) be the second derivative of 0 - 1/120*t**6 + 0*t**2 - 3/80*t**5 - 1/16*t**4 + 2*t - h*t**3. What is i in k(i) = 0?
-1, 0
Let z be -6*(15/(-9))/5. Suppose -7*o**z + 2*o**3 - 2 + 8*o + o**2 + 0*o**2 - 2*o = 0. Calculate o.
1
Let m(u) = 2*u**3 + 6*u**2 - 9*u + 8. Let n(w) = -w**3 - w. Let g(s) = 2*m(s) + 6*n(s). Find b such that g(b) = 0.
2
Factor 43 - 47*j - 8 + j**2 + 31*j + 29.
(j - 8)**2
Let x(y) = y - 5. Let k be x(8). Factor 3 + k*c**2 + 6*c - c + c.
3*(c + 1)**2
Let j(g) = -g**3 - 7*g**2 - 2*g - 5. Let q be j(-7). Factor -3 + 0*v**2 + 3*v**3 + 6*v - q*v + 3*v**2.
3*(v - 1)*(v + 1)**2
Let s(a) be the third derivative of -a**7/840 - a**6/240 + a**4/48 + a**3/24 - 5*a**2. Determine f, given that s(f) = 0.
-1, 1
Let p(q) be the third derivative of 1/8*q**6 + 2*q**4 + 2*q**3 + 0 + 17/20*q**5 + 4*q**2 + 0*q. Factor p(s).
3*(s + 1)*(s + 2)*(5*s + 2)
Let x = 901/10 + -90. Let m(i) be the second derivative of 1/4*i**4 - x*i**6 + 0 + 3/10*i**5 - i**3 + 3*i + 0*i**2. Solve m(y) = 0.
-1, 0, 1, 2
Let c(y) = -3*y**2 + 15*y + 12. Let r(u) = -3*u**2 + 14*u + 13. Let d(m) = -2*c(m) + 3*r(m). Find a, given that d(a) = 0.
-1, 5
Let g(n) be the third derivative of n**8/168 + n**7/35 + n**6/20 + n**5/30 - 9*n**2. Find d such that g(d) = 0.
-1, 0
Let x be -1*0*2/(-6). Let y be (-2)/4*(-20)/35. Determine d so that 2/7*d**2 + x*d - y = 0.
-1, 1
Let y(r) be the second derivative of r**4/102 - r**3/17 + 2*r**2/17 + 10*r. Find x such that y(x) = 0.
1, 2
Let m(u) be the third derivative of -u**5/18 + u**4/3 - 4*u**3/9 - 2*u**2. Factor m(a).
-2*(a - 2)*(5*a - 2)/3
Factor 8/7*y**3 - 2/7*y**4 - 2/7 + 8/7*y - 12/7*y**2.
-2*(y - 1)**4/7
Suppose 5*y - 25 = -5*w, w + 4*y - 2 = 3. Let r(c) be the second derivative of 0 + 1/50*c**w + 0*c**2 + 0*c**3 - 2*c - 1/30*c**4. Factor r(i).
2*i**2*(i - 1)/5
Let o be -2 + 3 + 4/2. Suppose -2*a + o*u + 16 = 0, -5*a + 4*u + 6 = 5*u. Factor 1 + 2 - 2 - 3*t**a + 2*t**3.
(t - 1)**2*(2*t + 1)
Let s be (4/(-30) - 0)/(8/(-144)). Suppose v + 5*u - 13 = 0, -v = -3*v + 5*u - 4. What is p in -s*p**v + 2/5*p**2 + 8/5*p + 2/5 = 0?
-1/2, -1/3, 1
Factor -11 - 9 + 4*b + 16*b**3 - 20*b**2 + 20.
4*b*(b - 1)*(4*b - 1)
Let u(r) be the third derivative of -r**7/42 + r**6/24 + r**5/4 - 5*r**4/24 - 5*r**3/3 + 7*r**2. Let u(t) = 0. What is t?
-1, 1, 2
Let k(a) = -3*a**4 - 2*a**3 + 3*a**2 + 2*a. Let u(p) = -11*p**3 - 7*p**2 - 16*p**4 + 15*p**2 + 11*p + 8*p**2. Let c(x) = -22*k(x) + 4*u(x). Factor c(l).
2*l**2*(l - 1)*(l + 1)
Let t(m) = -m**2 - 7*m. Let i(u) = 2*u + 0*u + 0*u - 3*u. Let o(l) = 6*i(l) - t(l). Factor o(w).
w*(w + 1)
Determine m so that -22*m**3 + 192 + 41*m**3 + 36*m**2 - 144*m - 22*m**3 = 0.
4
Let w be (2 + -3 - -2)*(56 - 56). Factor 1/5*r + 1/5*r**2 + w.
r*(r + 1)/5
Let k(b) be the third derivative of -1/150*b**5 - 1/60*b**4 + 0*b + 1/15*b**3 + 0 - 7*b**2 + 1/300*b**6. Factor k(f).
2*(f - 1)**2*(f + 1)/5
Let r(y) = -4*y**2 + 8*y + 7. Let d(n) = 5*n**2 - 9*n - 8. Let z(c) = -5*d(c) - 6*r(c). Factor z(g).
-(g + 1)*(g + 2)
Let i(z) be the first derivative of -2*z**3/33 + z**2/11 + 11. Factor i(r).
-2*r*(r - 1)/11
Let v(b) = -3*b + b**2 + 3 - 2*b + 4 - 5. Let g be v(5). Factor -u**g + 2 - 2 - u**3 + 0*u**3.
-u**2*(u + 1)
Let j(r) be the second derivative of -r**4/4 - r**3/2 - 2*r. Factor j(w).
-3*w*(w + 1)
Let w(v) be the first derivative of 2/3*v**3 - 3 + 2*v + 2*v**2. Factor w(h).
2*(h + 1)**2
Let v(x) be the first derivative of -x**3/3 - 3*x**2 - 9*x - 5. Find a, given that v(a) = 0.
-3
Suppose 0 = 5*n - 4*n. Let z(c) be the third derivative of 1/12*c**4 - 1/105*c**7 - 1/30*c**6 - c**2 + 0*c + n + 1/15*c**5 + 1/168*c**8 - 1/3*c**3. Factor z(t).
2*(t - 1)**3*(t + 1)**2
Let x(k) be the second derivative of 1/5*k**2 - 2/15*k**3 + 0 - 1/75*k**6 + 2*k + 1/25*k**5 + 0*k**4. Factor x(j).
-2*(j - 1)**3*(j + 1)/5
Let i(r) be the first derivative of 3*r**5/5 - 3*r**4/4 + 1. Factor i(v).
3*v**3*(v - 1)
Let b(o) be the third derivative of o**5/15 + 7*o**4/6 + 8*o**3 + 14*o**2. Let b(n) = 0. What is n?
-4, -3
Let z(q) be the second derivative of q**4/3 + 56*q**3/3 + 392*q**2 - 31*q. Solve z(a) = 0 for a.
-14
Let s(a) be the third derivative of -2*a**2 + 1/20*a**5 - 1/2*a**4 + 0 + 0*a + 2*a**3. Factor s(x).
3*(x - 2)**2
Let u = 1055 - 5251/5. Factor u*s**2 + 12/5*s + 2/5 + 4*s**3 + 6/5*s**4.
2*(s + 1)**3*(3*s + 1)/5
Let k(y) be the third derivative of y**8/16800 - y**7/3150 - y**6/1800 + y**5/150 - y**4/12 - 4*y**2. Let t(v) be the second derivative of k(v). Factor t(g).
2*(g - 2)*(g - 1)*(g + 1)/5
Let a(n) = -6*n - 38. Let q be a(-7). Determine k, given that -1/4*k**5 - 1/4*k**q + 1/2*k**2 + 1/2*k**3 - 1/4 - 1/4*k = 0.
-1, 1
Suppose 0 = 5*t - 24 - 16. Let -24*q + t*q**2 - 42*q**4 - 8*q**2 + 9*q**5 + 3*q**4 + 42*q**3 + 12*q**2 = 0. What is q?
-2/3, 0, 1, 2
Determine l, given that -8/3 - 16/3*l**2 + 20/3*l + 4/3*l**3 = 0.
1, 2
Let x(c) be the first derivative of c**3/2 - 3*c**2/4 + 7. Let x(v) = 0. Calculate v.
0, 1
Let m = 36 + -251/7. Let -m*y**2 + 2/7 + 1/7*y = 0. Calculate y.
-1, 2
Let x(u) be the third derivative of 0*u**3 - 1/15*u**5 - 1/60*u**6 - 1/12*u**4 + 6*u**2 + 0 + 0*u. Factor x(p).
-2*p*(p + 1)**2
Factor -b - 24*b**2 - 7*b + 17*b**3 + 33*b**3 - 18*b**4.
-2*b*(b - 2)*(b - 1)*(9*b + 2)
Let w(j) be the second derivative of 3/4*j**4 + 3/2*j**2 + 6*j + 3/20*j**5 + 3/2*j**3 + 0. Let w(h) = 0. What is h?
-1
Let w(v) = -v**5 + v + 1. Let b(k) = -3 - 8*k - 34*k**2 - 6*k + 13*k**5 - 13*k + 42*k**4 + 14*k**3. Let j(s) = 2*b(s) - 10*w(s). Solve j(m) = 0.
-1, -2/3, 1
Factor -23*c + 2*c - 9*c**3 - 42*c**2 + 17 - 5.
-3*(c + 1)*(c + 4)*(3*c - 1)
Let j(t) be the third derivative of 0*t**4 + 0 - 5*t**2 + 0*t**6 + 1/735*t**7 + 1/21*t**3 - 1/105*t**5 + 0*t. Let j(a) = 0. Calculate a.
-1, 1
Factor 1/5*s**4 + 0 - 2/5*s**2 + 0*s - 1/5*s**3.
s**2*(s - 2)*(s + 1)/5
Factor 0*k - 2/9*k**3 + 8/9*k**2 + 0.
-2*k**2*(k - 4)/9
Let p(c) be the third derivative of c**6/1620 - c**5/270 + c**4/108 + c**3/2 + 3*c**2. Let b(u) be the first derivative of p(u). Factor b(t).
2*(t - 1)**2/9
Let n = 180 + -176. Factor -5/2*k**3 + k**2 + 2*k**n + 0*k + 0 - 1/2*k**5.
-k**2*(k - 2)*(k - 1)**2/2
Let v(p) be the second derivative of 7*p**6/480 + 3*p**5/40 - p**4/8 - p**3/2 - 7*p. Let a(t) be the second derivative of v(t). Factor a(m).
3*(m + 2)*(7*m - 2)/4
Let c(x) be the third derivative of 1/504*x**8 + 0 + 0*x + 1/90*x**5 + 0*x**3 + 1/105*x**7 + 1/60*x**6 + 3*x**2 + 0*x**4. Find o such that c(o) = 0.
-1, 0
Let x be (-2 + -3)*(-10392)/15. Let u be x/130 + 10/65. Solve -114/5*p**2 - 78/5*p**4 + 48/5*p + 18/5*p**5 + u*p**3 - 8/5 = 0 for p.
2/3, 1
Factor 4/9*j**5 - 4/9*j + 0*j**3 - 8/9*j**4 + 0 + 8/9*j**2.
4*j*(j - 1)**3*(j + 1)/9
Factor 6/13*t**2 + 0 - 6/13*t**3 + 2/13*t**4 - 2/13*t.
2*t*(t - 1)**3/13
Let j(b) be the second derivative of b**6/120 + b**5/80 - b**4/24 + 9*b. Determine v, given that j(v) = 0.
-2, 0, 1
Let g(b) = b - 4. Let c be g(8). Suppose -c*f + 84 = -4*s, 3*s = -2*f + 2*s + 30. Determine v, given that -2*v**4 + f*v**2 + 0*v**4 + 2*v**3 - 17*v**2 = 0.
0, 1
Suppose 4*p + 40 = -3*