or p(g).
2*g**2*(g + 1)**2*(g + 2)/5
Factor -1/4*s**4 + 1/2*s**2 - 1/4 + 0*s + 0*s**3.
-(s - 1)**2*(s + 1)**2/4
Suppose j - 52 = -3*j - 2*b, -5*j - 3*b = -66. Let o be j/9*(-3)/(-2). Find h such that 2*h**3 + 4*h - o*h - 4*h = 0.
-1, 0, 1
Let j(q) be the second derivative of q**6/90 - 11*q**5/60 + q**4/4 + 11*q**3/18 - 5*q**2/3 - 9*q + 2. Factor j(k).
(k - 10)*(k - 1)**2*(k + 1)/3
Let t be ((-12)/16)/((-9)/8). Let a be (-10)/25 + 2/5. Factor -t*c**3 + 2/3*c - 2/3*c**4 + a + 2/3*c**2.
-2*c*(c - 1)*(c + 1)**2/3
Let l(d) = -d**5 + 7*d**4 + 8*d**3 + 4*d**2 + 5*d - 5. Let v(t) = -t**4 - t**3 - t**2 - t + 1. Let f(p) = -l(p) - 6*v(p). Let f(n) = 0. Calculate n.
-1, 1
Let p = -4336/7 - -622. Let b(f) = f**3 + 4*f**2 - 4*f + 7. Let r be b(-5). Factor p*c - 2*c**r - 4/7.
-2*(c - 1)*(7*c - 2)/7
Let y(i) be the first derivative of -6*i**5/5 - 2*i**4 + 10*i**3/9 + 4*i**2 + 8*i/3 - 48. Find j such that y(j) = 0.
-1, -2/3, 1
Let t(q) be the third derivative of -1/420*q**7 + 0 + 0*q + 0*q**3 + 0*q**5 + 0*q**4 - 1/672*q**8 + 0*q**6 - 5*q**2. Solve t(r) = 0 for r.
-1, 0
Let a(v) be the first derivative of v**4/4 + 2*v**3/3 + v**2/2 + 7. Factor a(f).
f*(f + 1)**2
Suppose -q - 36 = 4*v, 3*v + 3*q + 27 = q. Let w be 13/3 + 3/v. Factor i**3 + i**3 - 2*i**2 - w*i**3.
-2*i**2*(i + 1)
Let f be (12/21)/(4/14). Factor -9 + 15 - o**2 + 3*o - f*o**2.
-3*(o - 2)*(o + 1)
Let f = -841 - -376. Let q = f - -1411/3. Let -24*t**5 + 0 + 70/3*t**3 + q*t**2 - 8/3*t - 2*t**4 = 0. What is t?
-2/3, 0, 1/4, 1
Let o(p) = p**2. Let g = 6 + -5. Let m(z) = -z**3 + 2*z**2 + z. Let v(q) = g*m(q) - 2*o(q). Factor v(y).
-y*(y - 1)*(y + 1)
Suppose w - 6 + 3 = 0. Factor 23*m - 2*m**2 - w*m**2 - 26*m + 2*m**2.
-3*m*(m + 1)
Let z(n) = -2*n**3 + 11*n**2 + 13*n. Let u(x) = -x**2 - x. Let y(d) = 18*u(d) + 2*z(d). Determine f, given that y(f) = 0.
-1, 0, 2
Let k = -30 - -30. Let m(z) be the third derivative of 1/24*z**3 + 1/96*z**4 + 0*z + k - 3*z**2 - 1/480*z**6 - 1/240*z**5. Factor m(t).
-(t - 1)*(t + 1)**2/4
Let g be ((-11)/(-66))/(2/64). Suppose -g*n + 4/3*n**2 + 16/3 = 0. Calculate n.
2
Let l(j) = j + 3. Let p be l(0). Let b(s) be the first derivative of s + s**2 + 2 + 1/3*s**p. What is x in b(x) = 0?
-1
Let q be (1 + (-27)/25)*(-145)/29. Factor 2/3*a**2 + q*a - 4/15.
2*(a + 1)*(5*a - 2)/15
Factor 147/5 + 9*l**2 + 189/5*l + 3/5*l**3.
3*(l + 1)*(l + 7)**2/5
Let i(j) be the third derivative of j**6/1020 + j**5/102 + 2*j**4/51 + 4*j**3/51 + 5*j**2. Suppose i(n) = 0. What is n?
-2, -1
Factor -4/5*t**2 + 2/5*t**3 - 6/5*t + 0.
2*t*(t - 3)*(t + 1)/5
Let l = 10 + -6. Factor l + 2*s**3 - 10*s - 4*s**3 + 29*s**2 - 21*s**2.
-2*(s - 2)*(s - 1)**2
Let o(t) be the first derivative of t**5/10 + t**4/4 + t**3/6 - 8. What is d in o(d) = 0?
-1, 0
Let u be (-6)/(-4)*(-4)/(-3). Suppose 3*w + w = 8. Factor b - 2 + b**u + 5*b - w*b - 3*b.
(b - 1)*(b + 2)
Suppose -4*u - 14 - 3 = -5*n, -5*n + 15 = -5*u. Let d be (u - 2)*(-3)/6. Suppose -2/5*r**5 + 2/5*r**3 - 1/5*r**2 + 0 + 1/5*r**4 + d*r = 0. What is r?
-1, 0, 1/2, 1
Let x(i) = 8*i**2 - 36*i + 64. Let b(f) = -f**2 + f. Let g(t) = 4*b(t) + x(t). Let g(r) = 0. What is r?
4
Factor 0 + 5/3*d**3 - 1/3*d**2 - 5/3*d + 1/3*d**4.
d*(d - 1)*(d + 1)*(d + 5)/3
Let n be 5 + -1 + 12/3. Let c be (1 + -1)/(n/(-8)). Factor 0 - 4/5*d**3 + 2/5*d**4 + c*d + 2/5*d**2.
2*d**2*(d - 1)**2/5
Let q(v) be the second derivative of -v**9/1176 - v**8/1960 + v**7/588 - v**6/1260 + 2*v**3/3 - 9*v. Let w(j) be the second derivative of q(j). Factor w(n).
-2*n**2*(n + 1)*(3*n - 1)**2/7
Suppose 5*m + 25 - 5 = -g, -5*g = -2*m + 46. Let k be 32/60 - (-2)/g. Let -k*y**4 + 0 - 1/3*y**2 + 0*y - 2/3*y**3 = 0. Calculate y.
-1, 0
Let y(v) be the third derivative of v**5/120 - 5*v**4/12 + 25*v**3/3 + 2*v**2. Factor y(q).
(q - 10)**2/2
Let t = 1 + 6. Let r be 2/t + (-104)/(-126). Find v, given that -r*v**3 - 2/3*v**2 + 4/9*v + 0 = 0.
-1, 0, 2/5
Let s(w) = -2*w**4 - 5*w**3 + 6*w**2 + w - 5. Let n(i) = 3*i**4 + 8*i**3 - 9*i**2 - 2*i + 8. Suppose -5*f = -f + 32. Let c(d) = f*s(d) - 5*n(d). Factor c(y).
y*(y - 1)**2*(y + 2)
Let y be 2/9 + 6/(-27). Suppose y = 5*c - 10 - 10. Find d, given that 0*d**4 + 2*d**c - d**4 = 0.
0
Let j = -6/251 + 2307/2008. Let i = 59/24 - j. Solve -i - 8/3*g + 19/3*g**2 - 7/3*g**3 = 0 for g.
-2/7, 1, 2
Let i(x) be the first derivative of 2 - 1/4*x**4 + x + 1/2*x**2 - 1/3*x**3. Factor i(j).
-(j - 1)*(j + 1)**2
Suppose 3 + 5 = 4*v. Find g, given that -v*g - 2*g**3 + 0*g - 4*g**2 + 0*g = 0.
-1, 0
Let b(h) be the first derivative of 0*h + 2/27*h**3 + 0*h**2 - 1. Let b(x) = 0. What is x?
0
Let m(z) be the third derivative of z**6/5 - 9*z**5/10 + 3*z**4/8 + z**3 + 3*z**2. Let m(r) = 0. Calculate r.
-1/4, 1/2, 2
Factor 12*n + 17*n**3 + 7*n**3 - 21*n**3 + 12*n**2.
3*n*(n + 2)**2
Factor -6/7 - 12/7*m**2 + 0*m**3 + 2/7*m**4 + 16/7*m.
2*(m - 1)**3*(m + 3)/7
Suppose -2*u + 21 = -13. Find g, given that 2 - u*g - 4 - g**2 + 14*g = 0.
-2, -1
Let t(r) be the second derivative of -3/70*r**5 + 0 - 5*r + 0*r**2 - 1/42*r**4 + 2/21*r**3. Factor t(z).
-2*z*(z + 1)*(3*z - 2)/7
Let l(a) = 22*a**3 + 52*a**2 - 53*a - 7. Let p(v) = -7*v**3 - 17*v**2 + 18*v + 2. Let k(w) = 2*l(w) + 7*p(w). Factor k(c).
-5*c*(c - 1)*(c + 4)
Let h(s) be the first derivative of 5*s**3/3 - 3*s**2 - 34. Factor h(v).
v*(5*v - 6)
Let n(r) be the first derivative of -r**6/3 - 2*r**5/5 + r**4/2 + 2*r**3/3 - 5. Let n(a) = 0. What is a?
-1, 0, 1
Let b(a) = a + 2. Suppose -4*p = -3*s - 0 + 5, 0 = 4*p + 4*s + 12. Let h be b(p). Factor 0*l + h + 2/9*l**3 - 4/9*l**2.
2*l**2*(l - 2)/9
Let m(a) be the third derivative of 1/40*a**6 + 0*a - a**3 - 1/4*a**4 - 1/140*a**7 + 3*a**2 + 0 + 3/40*a**5. Determine q so that m(q) = 0.
-1, 2
Let w(j) be the second derivative of 49*j**6/20 + 189*j**5/20 - 87*j**4/8 - 19*j**3 - 9*j**2 + 14*j. Solve w(d) = 0 for d.
-3, -2/7, 1
Suppose -4*b + 20 = 3*m, b - 3*b + 10 = 3*m. Suppose -3*d + 162 = -2*d. Factor m - 8 + 396*k**3 + 0 - d*k**4 + 88*k - 314*k**2.
-2*(k - 1)**2*(9*k - 2)**2
Factor -1/10*n**2 + 2/5*n - 2/5.
-(n - 2)**2/10
Let u = -5 + 10. Let p + 3*p**2 - u*p**2 + 3*p = 0. Calculate p.
0, 2
Let o(j) be the first derivative of -1/3*j**3 - 4 + 0*j**2 + 0*j + 1/150*j**5 + 1/900*j**6 + 0*j**4. Let h(u) be the third derivative of o(u). Factor h(a).
2*a*(a + 2)/5
Let k(s) be the first derivative of -3/10*s**4 + 3/5*s**2 - 4 - 2/25*s**5 + 4/5*s - 2/15*s**3. What is f in k(f) = 0?
-2, -1, 1
Factor -1/10*f**4 + 4/5*f + 1/10*f**2 + 2/5 - 1/2*f**3 + 1/10*f**5.
(f - 2)**2*(f + 1)**3/10
Let n be (-3 - 32/(-12))*-12. Let s(b) be the second derivative of 0 + 0*b**2 - 1/18*b**3 - b + 1/36*b**n. Factor s(t).
t*(t - 1)/3
Let r(h) be the third derivative of h**9/100800 - h**8/8400 + h**7/1680 - h**6/600 - h**5/10 - 3*h**2. Let j(o) be the third derivative of r(o). Solve j(f) = 0.
1, 2
Suppose 0 = -0*q - 3*q + 135. Let y be (-1)/1 + q/25. Suppose 2/5*r - 2/5*r**2 + y = 0. What is r?
-1, 2
Let g be (-6)/(-9) - (-10)/3. Factor -2*p**3 - p + p**3 - 4*p**g + 5*p**2 - p**5 + 9*p**5 - 5*p**3.
p*(p + 1)*(2*p - 1)**3
Let k = 242/70005 + 3/1795. Let q(x) be the third derivative of 0*x**3 + 0*x + 1/780*x**6 + 0 + 4*x**2 + 1/156*x**4 - k*x**5. Factor q(i).
2*i*(i - 1)**2/13
Suppose 0 = 3*f + 2*q - 16, -13 + 40 = f + 5*q. Let o(c) be the first derivative of 3 - 1/4*c**4 - f*c**3 - 8*c - 6*c**2. Determine y, given that o(y) = 0.
-2
Find g such that 9*g + 12 + 3/2*g**2 = 0.
-4, -2
Let p(y) be the second derivative of y**4/18 + 7*y**3/9 - 8*y**2/3 - 4*y + 1. Find m, given that p(m) = 0.
-8, 1
Let z(x) be the third derivative of -x**7/3780 + x**5/180 - x**4/8 - 4*x**2. Let r(m) be the second derivative of z(m). Suppose r(p) = 0. What is p?
-1, 1
Let d(z) be the second derivative of z**5/20 + 3*z**4/4 + 9*z**3/2 - 3*z**2/2 - 2*z. Let c(y) be the first derivative of d(y). Factor c(s).
3*(s + 3)**2
Suppose 0 = 3*z - z - 8. Suppose -5*a - z*k - 1 - 1 = 0, 0 = a + k + 1. Factor -2/7*l**3 - 6/7*l**a - 6/7*l - 2/7.
-2*(l + 1)**3/7
Let u(j) be the second derivative of -j**5/5 + 2*j**4/3 + 2*j**3/3 - 4*j**2 + 9*j. Factor u(t).
-4*(t - 2)*(t - 1)*(t + 1)
Factor 9/2*c**4 + 0 + 0*c + 3/4*c**5 + 0*c**2 + 27/4*c**3.
3*c**3*(c + 3)**2/4
Let l(z) be the second derivative of z**4/8 + 7*z**3/4 + 9*z**2/2 + 9*z. Determine i so that l(i) = 0.
-6, -1
Let j = 23/30 -