1/24*z**4 + 0*z + 1/60*z**5 - 1/3*z**3 + 0. Factor h(f).
(f - 2)*(f + 1)
Determine s so that -8/3*s + 2 + 2/3*s**2 = 0.
1, 3
Let p(g) be the first derivative of -g**5/15 - g**4/12 + g**3/3 + 5*g**2/6 + 2*g/3 - 2. Factor p(l).
-(l - 2)*(l + 1)**3/3
Let i(q) be the second derivative of 5*q + 0*q**3 - 1/135*q**6 + 0*q**2 + 1/54*q**4 + 0 + 0*q**5. Factor i(m).
-2*m**2*(m - 1)*(m + 1)/9
Let d(q) = 9*q**3 + 11*q**2 + 12*q + 5. Let i(j) = j**3 - j**2 + 1. Let t(k) = d(k) - 5*i(k). Find b such that t(b) = 0.
-3, -1, 0
Factor 0 - 2/5*g**3 + 0*g**2 + 1/5*g**5 + 0*g**4 + 1/5*g.
g*(g - 1)**2*(g + 1)**2/5
Suppose m + 4 - 2 = -2*o, 2*m - o - 6 = 0. Solve -23/4*q**m + 1/2*q**5 + 11/4*q - 11/4*q**4 + 23/4*q**3 - 1/2 = 0 for q.
1/2, 1, 2
Suppose -3*p - 25 = c + 2*p, -3*p - 15 = c. Suppose c = x - 2*s, 4*x + 5*s = 2*x + 18. Suppose x*q + 4 + 2*q + q**2 + q**2 = 0. Calculate q.
-2, -1
Let a(x) be the second derivative of x**6/15 - 3*x**5/5 + 13*x**4/6 - 4*x**3 + 4*x**2 + 15*x. Factor a(y).
2*(y - 2)**2*(y - 1)**2
Suppose -4*d + 20 = -6*w + 5*w, d = 4*w + 5. Determine v so that 4/5*v**2 - 3/5*v**3 - 2/5*v**4 + 0 + 1/5*v**d + 4/5*v = 0.
-1, 0, 2
Let d be ((-14)/4 - -3)*-6. Suppose -3*j + r = -5, -3*j + 0 = d*r - 21. What is a in 0 - 1/2*a**2 + 1/2*a**j + 0*a = 0?
0, 1
Factor 0*t + 0 - 5/3*t**4 + 5/3*t**3 + 0*t**2.
-5*t**3*(t - 1)/3
Suppose 2*q**3 + 1/3*q**4 + 1 + 10/3*q + 4*q**2 = 0. Calculate q.
-3, -1
Let w(p) be the first derivative of p**5/5 - 5*p**4/4 + 2*p**3 + 2*p**2 - 8*p + 3. Let w(y) = 0. What is y?
-1, 2
Let l = 427/6 - 71. Let j(o) be the second derivative of -1/4*o**4 + l*o**3 + 0 - 3*o + o**2. Factor j(n).
-(n - 1)*(3*n + 2)
Determine c so that 9*c - 6*c**2 + 9 - c**3 + 21*c**2 + 4*c**3 - 36 = 0.
-3, 1
Let c be (26/(-52))/(3/(-2)). Determine j so that -2/3 + j**2 - c*j = 0.
-2/3, 1
Let n(t) be the third derivative of -t**8/112 + t**7/105 + t**6/120 + 13*t**2. Find s, given that n(s) = 0.
-1/3, 0, 1
Solve 1 + 22*w**2 - 24*w**3 - 8*w - 36*w**4 + 26*w**4 + 19*w**4 = 0 for w.
1/3, 1
Let h = 1380 - 9860/9. Let y = h - 284. Determine c, given that y - 22/9*c + 2*c**2 = 0.
2/9, 1
Let o(t) be the third derivative of -t**5/30 + 17*t**4/6 - 289*t**3/3 + 25*t**2. Factor o(z).
-2*(z - 17)**2
Let v(a) be the third derivative of -a**6/240 + a**5/60 + a**4/48 - a**3/6 - 5*a**2. Factor v(b).
-(b - 2)*(b - 1)*(b + 1)/2
Let q be (-38)/(-720)*(77 - 8). Let f = q - -1/40. Determine o, given that 2/3 + f*o + 5*o**2 = 0.
-2/5, -1/3
Suppose 5*q + 69 - 69 = 0. Factor h**4 + 1/2*h**5 + q*h**3 + 0 - h**2 - 1/2*h.
h*(h - 1)*(h + 1)**3/2
Suppose 3*m - 28 = -8*s + 10, 0 = m + 5*s - 22. Find j, given that -1/2 - j**m + 1/4*j**3 + 5/4*j = 0.
1, 2
Let v(j) = -5*j**2 + 5*j + 6. Let d = -8 - -3. Let p(x) = -11*x**2 + 9*x + 12. Let u(z) = d*v(z) + 2*p(z). Factor u(o).
(o - 3)*(3*o + 2)
Let o be 2/(-4) - 3/2. Let h be 2 + o + (-2)/(-4). Let 1/2*p**4 + 0*p**2 + h*p**3 + 0*p + 0 = 0. What is p?
-1, 0
Let c(j) be the third derivative of 0*j + 1/70*j**5 - 1/56*j**4 - 1/7*j**3 + 1/280*j**6 - j**2 + 0. Factor c(u).
3*(u - 1)*(u + 1)*(u + 2)/7
Let k(f) be the third derivative of f**5/20 + f**4 - 9*f**3/2 - 28*f**2. Factor k(v).
3*(v - 1)*(v + 9)
Let q(b) be the second derivative of 2/15*b**4 - 1/15*b**3 - b + 0*b**2 + 0. Let q(i) = 0. What is i?
0, 1/4
Let k = 163 + -1465/9. Factor k*l**2 + 0 - 2/9*l.
2*l*(l - 1)/9
Let v be (25/(-75))/((-2)/12). Factor -v*u**4 + 4/3*u**3 + 0*u + 2/3*u**2 + 0.
-2*u**2*(u - 1)*(3*u + 1)/3
Suppose -3*m - 52 = 5*r, 4*r + 27 = -2*m - 11. Let s be m/(-20) - (-8)/(-40). Determine t so that -1/4*t**2 - 1/4*t**3 + 1/4*t + s = 0.
-1, 1
Let u be 2/7*(-4)/(-2). Let b = -754/7 + 108. Factor 2/7*h**2 + b + u*h.
2*(h + 1)**2/7
Let q(k) be the second derivative of k**6/30 + k**5/20 - k**4/12 - k**3/6 + 7*k. Factor q(j).
j*(j - 1)*(j + 1)**2
Suppose 0 = -w - 12. Let t be 2/w*1*-2. Factor -y**2 + y + t*y**3 - 1/3.
(y - 1)**3/3
Let q(s) = -20*s**2 - 2*s + 1. Let h be q(1). Let k be h/(-9) + 6/9. Solve 16/7*r**2 + 2/7*r - 4/7 + 10/7*r**k = 0.
-1, 2/5
Let a(u) = u**2 - u. Let h(d) = d**2 - d. Let z(n) = -6*a(n) + 2*h(n). Suppose z(q) = 0. What is q?
0, 1
Let i(g) be the second derivative of g**5/15 - g**4/2 - 4*g**2 - 4*g. Let y(b) be the first derivative of i(b). Find o such that y(o) = 0.
0, 3
Let d(x) = 5*x - 1. Let f be ((-1)/(-4))/(6/24). Let c be d(f). Factor 3*s**3 + 0*s**c - s**3 - 2*s**4.
-2*s**3*(s - 1)
Suppose 3*g - 3*c = 0, 0 = 3*g - 23*c + 27*c - 14. Factor 22/5*w**4 + 18/5*w**3 + 0 + 8/5*w**5 - 2/5*w + 2/5*w**g.
2*w*(w + 1)**3*(4*w - 1)/5
Suppose -b + x - 7 = 0, 3*b - x + 10 = -1. Let a be (b/5)/((-3)/15). Factor 1/4*v + 0 - 1/2*v**a + 1/4*v**3.
v*(v - 1)**2/4
Let k(z) = 2*z + 16. Let p be k(-19). Let h = 22 + p. Determine s so that h*s**2 - 2/7*s**4 - 4/7*s**3 + 4/7*s + 2/7 = 0.
-1, 1
Suppose 4*u + 7*j + 7 = 4*j, 0 = 5*u - 4*j - 30. Factor 0 + 2/3*p**u + 0*p.
2*p**2/3
Let j(s) be the first derivative of 7/12*s**4 + s + 0*s**2 - 1 + 1/3*s**3 - 1/10*s**5 - 7/30*s**6. Let n(w) be the first derivative of j(w). Solve n(c) = 0.
-1, -2/7, 0, 1
Let m(l) be the first derivative of 2*l**3/3 + 3*l**2 - 8*l + 33. Let m(o) = 0. Calculate o.
-4, 1
Let t(o) = 14*o**4 - 17*o**3 + 9*o**2 + 6*o + 17. Let k(q) = 5*q**4 - 6*q**3 + 3*q**2 + 2*q + 6. Let i(j) = 17*k(j) - 6*t(j). What is n in i(n) = 0?
-1, 0, 2
Let t(w) be the second derivative of 1/4*w**4 + 1/20*w**5 + 2*w + 1/3*w**3 + 0 + 0*w**2. Find i such that t(i) = 0.
-2, -1, 0
Let m be 0 + (-2)/(1 - 2). Factor 2 - 6 + 10*i + 4*i**2 - 8*i**3 - m*i**3.
-2*(i - 1)*(i + 1)*(5*i - 2)
Let z(r) = 9*r + 3. Let j be z(0). Factor -1/2 - k**2 + 1/4*k**j + 5/4*k.
(k - 2)*(k - 1)**2/4
Let d(w) be the second derivative of -w**7/14 - w**6/10 + 8*w. Suppose d(y) = 0. Calculate y.
-1, 0
Let z(q) be the second derivative of -q**5/180 - q**4/18 - 2*q**3/9 - 4*q**2/9 + 39*q. Find p, given that z(p) = 0.
-2
Let j be (-27 - 6/(-2))/(-1). Let -4*k**2 + 24*k - j*k = 0. What is k?
0
Factor -1/7*k**4 + 3/7*k**2 - 2/7 + 1/7*k**3 - 1/7*k.
-(k - 2)*(k - 1)*(k + 1)**2/7
Let k(a) be the second derivative of 0*a**2 + 1/27*a**4 - 4*a + 1/27*a**3 + 0 + 1/90*a**5. Suppose k(p) = 0. What is p?
-1, 0
Let m be ((-1)/(-3))/(7/7). Solve 1/3*v**3 - 1/3*v**2 + 1/3 - m*v = 0 for v.
-1, 1
Let 3/4*c**4 + 5/4*c**3 + 0 - 1/4*c - c**5 - 3/4*c**2 = 0. Calculate c.
-1, -1/4, 0, 1
Let s(v) be the third derivative of v**7/210 - v**6/240 - v**5/60 + v**4/48 + 7*v**2. Factor s(t).
t*(t - 1)*(t + 1)*(2*t - 1)/2
Let c(s) be the first derivative of -s**7/1680 - s**6/360 - s**5/240 - 2*s**3/3 + 3. Let k(j) be the third derivative of c(j). Factor k(i).
-i*(i + 1)**2/2
Let p(o) be the second derivative of o**5/35 - o**4/21 - 2*o**3/21 + 2*o**2/7 - 3*o. Determine y so that p(y) = 0.
-1, 1
Let o be (-5 - (-80)/(-12))*(-2)/7. Factor 4/3*r + o*r**2 + 0.
2*r*(5*r + 2)/3
Let z be 1/(-6) + (-5)/(-30). Let b(s) be the third derivative of 2*s**2 + z + 0*s + 1/180*s**5 + 1/18*s**3 + 1/36*s**4. Let b(v) = 0. Calculate v.
-1
Suppose -10*m = -6*m - 48. Let l be (-5)/(-18) + m/54. Solve -l*p**2 + p - 1/2 = 0.
1
Let b(h) be the third derivative of h**5/180 + h**4/72 - h**3/9 - 16*h**2. Let b(v) = 0. What is v?
-2, 1
Let v = 12 - 7. Suppose 3*u - 1 = v. Suppose s**2 + 0*s - u*s - 3*s**2 = 0. What is s?
-1, 0
Let w(m) be the second derivative of m**7/84 + m**6/60 - m**5/40 - m**4/24 + 12*m. Factor w(r).
r**2*(r - 1)*(r + 1)**2/2
Solve -y**5 - 4/7 - 19/7*y**2 - 13/7*y**3 + 23/7*y**4 + 20/7*y = 0 for y.
-1, 2/7, 1, 2
Let 5*q**3 + 35/2 - 75/2*q**2 + 15*q = 0. What is q?
-1/2, 1, 7
Let k(y) = y**2 + 2*y + 3. Let r be k(-2). Let 2*g**2 - 2*g**r + 0*g**2 + 8*g**3 = 0. What is g?
-1/3, 0
Let o(r) be the second derivative of 0 + 1/420*r**6 + 0*r**3 - 1/42*r**4 - r - r**2 - 1/210*r**5. Let v(u) be the first derivative of o(u). Factor v(f).
2*f*(f - 2)*(f + 1)/7
Let f(q) be the second derivative of -3/80*q**5 + 9*q + 1/16*q**4 + 0 + 1/8*q**3 - 3/8*q**2. Let f(o) = 0. Calculate o.
-1, 1
Let j(l) be the second derivative of l**7/252 + l**6/20 + 23*l**5/120 + 7*l**4/72 - 2*l**3/3 - 4*l**2/3 + 20*l. Find p, given that j(p) = 0.
-4, -1, 1
Factor 27*y**3 - 6*y - 23*y**3 - 8 + 14*y**2 + 0*y - 4*y.
2*(y - 1)*(y + 4)*(2*y + 1)
Suppose 2 - 1 = -s, 0 = -2*c - 2*s - 4. Let t(a) = -3*a**3 - 2*a**2 - 2*a - 1. Let y be t(c).