 6*d**2 - d + 1. Let p be x(6). Let n = -1 - p. Factor 3*h - 5*h**2 - 10*h**2 - 7*h**n + 2 + 19*h**3 - 2*h.
-(h - 1)**3*(7*h + 2)
Let j = 9 + -6. Factor j*y**3 + 63*y**2 - 63*y**2 - 9*y + 6.
3*(y - 1)**2*(y + 2)
Let c = 13/17 - -71/85. Factor 0 - 8/5*l**2 - c*l**4 - 2/5*l**5 - 2/5*l - 12/5*l**3.
-2*l*(l + 1)**4/5
Let q be (-1)/(22/(-10) + 2). Suppose -q*r + 17 = 4*g, -g + 7 = -0*r + 4*r. Let 3*o - 2*o**g - 5*o + 4*o = 0. What is o?
-1, 0, 1
Factor -4*m**4 - 4*m**3 + 3*m**3 + 3*m**4 + m**2 + m.
-m*(m - 1)*(m + 1)**2
Let u(q) be the third derivative of 4*q**5/315 - 11*q**4/252 + q**3/21 + 20*q**2. Factor u(i).
2*(i - 1)*(8*i - 3)/21
Let t(w) be the second derivative of 0 + 3*w - 2/5*w**2 - 1/30*w**4 + 1/5*w**3. Factor t(l).
-2*(l - 2)*(l - 1)/5
Let k(b) = -b - 5. Suppose 4*v + 24 = v. Let i be k(v). Solve 2*z**4 + 2*z - 4*z**3 - i + 1 + 2*z = 0.
-1, 1
Let t(h) be the second derivative of -5*h**4/12 + 5*h**3/6 + 2*h**2 + 2*h. Let p(y) = -4*y - 4*y**2 + 5 + 9*y - 2 - y. Let a(v) = -4*p(v) + 3*t(v). Factor a(d).
d*(d - 1)
Find c, given that 2/15*c**5 + 0*c + 2/15*c**2 - 2/15*c**3 - 2/15*c**4 + 0 = 0.
-1, 0, 1
Let z(x) = 0 - x + 3 - 1. Let k be z(0). Factor 1/2*j**3 - 1/2*j + 1/2*j**k + 0 - 1/2*j**4.
-j*(j - 1)**2*(j + 1)/2
Let i(y) = 14*y**4 - 8*y**3 - 10*y**2 + 8*y + 4. Let c(m) = -13*m**4 + 7*m**3 + 10*m**2 - 7*m - 3. Let s(h) = -4*c(h) - 3*i(h). Find o such that s(o) = 0.
-1, 0, 2/5, 1
Let u(x) be the first derivative of -x**6/33 - 4*x**5/55 + 3*x**4/22 + 8*x**3/33 - 4*x**2/11 - 3. Suppose u(t) = 0. Calculate t.
-2, 0, 1
Let o = 403/4 + -100. Let n = o - -7/12. Factor -8/3*q**4 + 2*q**2 - 7/3*q + n*q**3 + q**5 + 2/3.
(q - 1)**3*(q + 1)*(3*q - 2)/3
Let p = 1803313/1008 + -1789. Let a(f) be the third derivative of -p*f**8 + 0*f**3 + 1/315*f**7 + 0*f**5 + 0*f**4 + 2*f**2 + 0*f + 0 - 1/360*f**6. Factor a(d).
-d**3*(d - 1)**2/3
Let v be ((-18)/15)/((-2)/5). Suppose -7 + 3*n + 7 - 6*n**2 + v = 0. What is n?
-1/2, 1
Let j(v) be the first derivative of 1/3*v**3 + 2 + 1/2*v**2 + 0*v. Factor j(t).
t*(t + 1)
Let f(m) be the third derivative of 27*m**5/10 - 3*m**4/2 + m**3/3 + 13*m**2. Factor f(h).
2*(9*h - 1)**2
Let p(v) be the first derivative of 1/4*v**4 - 1/2*v**2 + 0*v + 0*v**3 + 4. Factor p(j).
j*(j - 1)*(j + 1)
Suppose 2*m - 7*m - 60 = 2*k, 0 = 2*m + 4. Let h be 1/15 + (-15)/k. What is n in 1/3*n**5 + 0*n**4 + n + h*n**2 - 4/3*n**3 - 2/3 = 0?
-2, -1, 1
Let p be (-5 - 1)*(-2)/4. Find y, given that -21 - p*y**2 + 21 - 6*y = 0.
-2, 0
Let f(q) be the third derivative of -q**5/180 + q**4/6 - 2*q**3 + 15*q**2. Factor f(i).
-(i - 6)**2/3
Let y(t) be the third derivative of 4*t**2 + 1/105*t**7 + 37/420*t**6 + 0*t + 11/21*t**4 + 8/21*t**3 + 11/35*t**5 + 0. Solve y(w) = 0 for w.
-2, -1, -2/7
Let b be (1/4)/((-21)/6 - -5). Let v(x) be the first derivative of 0*x + 1/8*x**2 + 1 + 1/16*x**4 - b*x**3. Solve v(u) = 0 for u.
0, 1
Let m be 4*((-14)/8 + 1). Let w(i) = 3*i**2 - 3. Let b(n) = 3*n**2 - 3. Let j(y) = m*w(y) + 2*b(y). Factor j(l).
-3*(l - 1)*(l + 1)
Suppose 0 = -o - 3*o + 40. Solve 0*i**2 + o*i**3 - 4*i**3 - 5*i**4 - 3*i**2 + 2*i**4 = 0.
0, 1
Let m(s) be the second derivative of 3*s**5/40 - 9*s**4/8 - 21*s**3/4 - 33*s**2/4 - 5*s - 3. Factor m(d).
3*(d - 11)*(d + 1)**2/2
Suppose 0 = -5*q + 1 + 9. Factor -6*h**3 - h**q + 7*h**3 + 0*h**2.
h**2*(h - 1)
Let u(c) = 37*c**2 - 1. Let b be u(1). Let g be (-2)/9 + 80/b. Let 1 - 1 + z - g*z**3 + z = 0. What is z?
-1, 0, 1
Let u(c) be the third derivative of 0*c + 1/270*c**6 + 0*c**4 - 1/189*c**7 + 0*c**5 - 3*c**2 + 1/504*c**8 + 0*c**3 + 0. Factor u(j).
2*j**3*(j - 1)*(3*j - 2)/9
Let o(a) = 9*a**5 - 14*a**3 - 12*a**2 + 5*a + 6. Let k(i) = i**4 + i**3 + i**2 - i - 1. Let n(m) = 6*k(m) + o(m). Factor n(u).
u*(u - 1)*(u + 1)*(3*u + 1)**2
Let m(s) = 45*s**2 - 43*s + 24. Suppose -6 = -2*d + 6. Let u(v) = 11*v**2 - 11*v + 6. Let h(i) = d*m(i) - 26*u(i). Factor h(r).
-4*(r - 1)*(4*r - 3)
Let u(r) = -4*r**3 - r**2 + 3*r. Let h(c) = -c**3 + c. Let s(p) = -14*h(p) + 4*u(p). Suppose s(m) = 0. What is m?
-1, 0
Let k(c) be the third derivative of -c**5/30 - c**4/6 + c**3 + 16*c**2. Find j such that k(j) = 0.
-3, 1
Let w(v) = 5*v**4 + 6*v**3 - 8*v**2 - 2*v + 3. Let c(z) = -14*z**4 - 17*z**3 + 23*z**2 + 6*z - 9. Let i(d) = 4*c(d) + 11*w(d). Factor i(u).
-(u - 1)**2*(u + 1)*(u + 3)
Let p(l) be the third derivative of 16*l**7/1785 - 14*l**6/255 + 19*l**5/170 - 19*l**4/204 + 2*l**3/51 - l**2. Determine v, given that p(v) = 0.
1/4, 1, 2
Let x(f) be the second derivative of 1/2*f**2 + 0 + 1/10*f**5 - 4*f + 0*f**4 - 1/3*f**3 - 1/30*f**6. Factor x(d).
-(d - 1)**3*(d + 1)
Suppose f + 13 = 3*v, 0 = 2*f + 3*v - v + 58. Let n = -25 - f. What is t in 1/2*t**4 - 1/4*t + n - 1/2*t**2 + 1/4*t**5 + 0*t**3 = 0?
-1, 0, 1
Let b(z) be the third derivative of -z**5/90 + z**4/9 - 4*z**3/9 + z**2. Find s, given that b(s) = 0.
2
Factor 2/5*l**3 + 8/5 + 16/5*l + 2*l**2.
2*(l + 1)*(l + 2)**2/5
Suppose -5*z = -5*y - 80, -2*y - 19 + 113 = 5*z. Suppose -19*n = -z*n. Find a such that 2/5*a + 2/5*a**2 + n = 0.
-1, 0
Let z = -127 - -130. Let n(c) be the first derivative of 1/4*c**2 + 2 - 1/3*c - 1/18*c**z. Suppose n(g) = 0. What is g?
1, 2
Let z(w) be the third derivative of 2*w**5/75 - 7*w**4/60 - 2*w**3/15 + 2*w**2. Let z(m) = 0. What is m?
-1/4, 2
Let d(j) be the second derivative of j**8/6720 + j**7/2520 - j**6/720 - j**5/120 - j**4/12 + 2*j. Let n(i) be the third derivative of d(i). Factor n(p).
(p - 1)*(p + 1)**2
Let m be 0 - (-231)/(-49) - -5. Find g, given that 0*g - 2/7*g**2 + 2/7*g**3 - m*g**5 + 0 + 2/7*g**4 = 0.
-1, 0, 1
Let s(l) = 2. Let y(v) = v**3 - 10*v**2 + 32*v - 10. Let r(t) = -22*s(t) + 2*y(t). What is d in r(d) = 0?
2, 4
Let t(l) be the second derivative of l + 1/6*l**2 + 0 - 1/60*l**5 + 1/18*l**3 - 1/36*l**4. Factor t(f).
-(f - 1)*(f + 1)**2/3
Suppose -6*g = -3*g. Let u = -14/13 - -69/52. Factor -u*f**3 + g*f + 0 + 1/4*f**2.
-f**2*(f - 1)/4
Let g(w) be the first derivative of -3*w**5 - 21*w**4/4 - 2*w**3 + 6. Solve g(a) = 0 for a.
-1, -2/5, 0
Let s = 92 + -90. Factor -3/2 - 3*u - 3/2*u**s.
-3*(u + 1)**2/2
Let b = 0 + 13. Suppose -13 = g + 5*s, 0 = 3*g - 5*g + 3*s + b. Find f such that -g*f**2 - 5*f + 7*f + 3*f + 2 - f**2 = 0.
-1/3, 2
Find d such that -1/4*d**2 - 5/4*d + 3/2 = 0.
-6, 1
Let w(v) be the first derivative of -v**6/27 + v**4/9 - v**2/9 - 8. Factor w(h).
-2*h*(h - 1)**2*(h + 1)**2/9
Let l(r) be the third derivative of r**6/15 + r**5/60 - r**4/12 - r**3/6 - r**2. Let h(a) be the first derivative of l(a). Solve h(m) = 0.
-1/3, 1/4
Suppose -2*l + 6 = 3*a, a - 4*a + 3*l - 9 = 0. Let k(t) be the third derivative of -1/20*t**5 + 0*t**4 + 0*t**3 + a*t + 4*t**2 + 1/40*t**6 + 0. Factor k(x).
3*x**2*(x - 1)
Let c(q) be the third derivative of 1/30*q**6 - 1/168*q**8 + 0 + 1/105*q**7 + 0*q - q**2 - 1/15*q**5 + 1/3*q**3 - 1/12*q**4. Find j, given that c(j) = 0.
-1, 1
Let o(f) = 6*f + 212. Let p be o(-35). Factor 0*i + 0 + p*i**3 + 0*i**4 + 4/3*i**2 - 2/3*i**5.
-2*i**2*(i - 2)*(i + 1)**2/3
Factor -4/3*i**3 + 4*i + 0*i**2 + 8/3.
-4*(i - 2)*(i + 1)**2/3
Let i(k) be the first derivative of -2*k**5/45 + k**4/18 + 2*k**3/9 - 5*k**2/9 + 4*k/9 + 5. Factor i(h).
-2*(h - 1)**3*(h + 2)/9
Factor 8/7*h**3 + 2/7*h**4 + 2/7 + 12/7*h**2 + 8/7*h.
2*(h + 1)**4/7
Let -2*l**3 + 14/9*l**2 + 112/9*l + 8/3 = 0. What is l?
-2, -2/9, 3
Let c = 45 + -223/5. Factor 2/5*h**2 + c*h - 2/5*h**3 - 2/5.
-2*(h - 1)**2*(h + 1)/5
Let n(k) be the third derivative of k**5/420 - k**4/56 - 2*k**3/21 - 12*k**2. Factor n(t).
(t - 4)*(t + 1)/7
Let w(m) be the first derivative of m**5/60 - m**4/6 + 2*m**3/3 + m**2/2 - 1. Let q(k) be the second derivative of w(k). Factor q(l).
(l - 2)**2
Suppose 3*y + 18 = 6. Let w(p) = 2*p**3 + p**2 + p + 2. Let h(i) = 3*i**3 + 2*i**2 + i + 2. Let b(m) = y*w(m) + 3*h(m). Solve b(f) = 0 for f.
-2, -1, 1
Let n(s) = -4*s**2 - 2. Suppose 4 = -2*o, -2*h + o = 2*h + 6. Let p(d) = d**2 - d + 1. Let a(v) = h*p(v) - n(v). Determine l, given that a(l) = 0.
-1, 0
Let j(n) = -n**2 - 15*n - 2. Let v be j(-11). Let q = v - 38. Solve i**2 + 0 + 1/2*i**5 + 0*i**3 - i**q - 1/2*i = 0.
-1, 0, 1
Let c(u) be the third derivative of 32*u**7/35 - 4*u**6/15 - u**5/3 + u**4/6 + 7*u**2. Factor c(l).
4*l*(3*l + 1)*(4*l - 1)**2
Let n(v) be the second derivative of 0 + 3*v - 1/18