 of n(g). Factor p(a).
-3*(a - 1)*(a + 2)/4
Suppose -3*g - 1 = 5. Let i be g - 1 - 39/(-9). Factor -j**2 + i + 0*j + 1/3*j**3.
(j - 2)**2*(j + 1)/3
Let -15/4*u + 21/4*u**5 + 17/2*u**4 - 3/2*u**3 - 1/2 - 8*u**2 = 0. Calculate u.
-1, -1/3, -2/7, 1
Factor 3*l**5 + 0*l**4 - 2*l**3 + 4*l**5 - 2*l**5 - 3*l**4.
l**3*(l - 1)*(5*l + 2)
Let q be (4/10)/((-2)/(-10)). Let k(j) be the first derivative of 2/9*j**3 - 1/3*j**2 - q + 0*j. Factor k(u).
2*u*(u - 1)/3
Solve 5 + 27*i**4 - 8*i - 18*i**2 - 6 + 0*i = 0.
-1/3, 1
Factor 0*c**3 + 6*c - 3*c**2 + 3 - 3*c - 3*c**3.
-3*(c - 1)*(c + 1)**2
Suppose -5*y + 3*y = 5*y. Factor -4/3*c + y + 2/3*c**2.
2*c*(c - 2)/3
Let b(p) = p**2 + p. Let n(a) = -a**2 + a - 1. Let l = 3 + -1. Let d(t) = l*n(t) + b(t). Factor d(q).
-(q - 2)*(q - 1)
Let z be (-2 - (-2 + -1))*2. Let 6*w**3 - z*w**3 + w**5 + 9*w**5 - 14*w**4 = 0. What is w?
0, 2/5, 1
Let u(p) = -11*p**2 + 23*p - 17. Suppose -b - 2 = 2*o, 6*o + 26 = b + o. Let c(x) = -2*x**2 + 4*x - 3. Let r(i) = b*u(i) - 34*c(i). Solve r(h) = 0 for h.
-1, 0
Let k(l) be the first derivative of 0*l - l**2 + 2/3*l**3 - 1. Find x, given that k(x) = 0.
0, 1
Let x(y) = y**3 - 8*y**2 - 6*y + 3. Let t(i) = -2*i**3 + 16*i**2 + 13*i - 5. Let w(j) = 3*t(j) + 5*x(j). Factor w(q).
-q*(q - 9)*(q + 1)
Factor 0*q + q**3 - 9*q**3 - 2*q + 6*q**4 - 3*q**4 + 7*q**2.
q*(q - 1)**2*(3*q - 2)
Let -2*m**3 + 6*m**5 + m - m - 4*m**5 = 0. What is m?
-1, 0, 1
Suppose 3 - 7 = k. Let y = -4 - k. Let 2/5*c**5 + 6/5*c**4 + 2/5*c**2 + y*c + 6/5*c**3 + 0 = 0. Calculate c.
-1, 0
Suppose 2*p - 3 - 3 = 0. Let r(h) be the second derivative of h + 0 + 1/90*h**5 + 1/9*h**p - 1/9*h**2 - 1/18*h**4. Determine x so that r(x) = 0.
1
Let a(d) be the second derivative of -d**7/231 - d**6/15 - 43*d**5/110 - 73*d**4/66 - 56*d**3/33 - 16*d**2/11 + 40*d. Let a(m) = 0. Calculate m.
-4, -1
Let h(w) be the second derivative of -w**6/10 + 3*w**5/5 - 3*w**4/2 + 2*w**3 - 3*w**2/2 + 8*w. Factor h(q).
-3*(q - 1)**4
Suppose 12 = s + 2*s - q, 4*s - 4*q = 24. Let h be -3*s/(2 - 3). Suppose -23*y - 3*y**4 - 26*y**2 - 3*y**3 - 8 - y - h*y**3 + y**4 = 0. Calculate y.
-2, -1
Suppose 0*s - 3*s - 9 = 0, -3*s - 29 = -5*w. Let j(i) = i - 1. Let b be j(w). Factor b*h + 3*h**5 + h**3 + h**2 + 3*h - 5*h**4 - 6*h.
h**2*(h - 1)**2*(3*h + 1)
Let t = -5 + 9. Let -2*m - 4*m**2 + 2*m**t + m**5 + m**5 - m**4 + 3*m**4 = 0. What is m?
-1, 0, 1
Let i(o) be the second derivative of 1/25*o**5 + 2/15*o**3 + 2*o + 0 + 1/10*o**4 + 1/10*o**2 + 1/150*o**6. Factor i(q).
(q + 1)**4/5
Let c(r) = -4*r**5 + r**4 + r**3 - 4*r**2 + 3. Let l(w) = -3*w**5 + w**4 + w**3 - 3*w**2 + 2. Let i(u) = 2*c(u) - 3*l(u). Factor i(v).
v**2*(v - 1)**2*(v + 1)
Let r(s) be the third derivative of s**5/15 + 4*s**4/3 + 14*s**3/3 + 48*s**2. Let r(g) = 0. Calculate g.
-7, -1
Let f(l) = -l - l + 6*l - l. Let x be f(2). What is a in -5*a**2 + 1 + x*a**2 + 3 + 4*a = 0?
-2
Let f(b) be the first derivative of 0*b + 8/3*b**3 + 7 + b**4 + 2*b**2. Find a, given that f(a) = 0.
-1, 0
Let o(b) = b**2. Let s(i) = -6*i**2 - 14*i - 12. Let c(w) = -4*o(w) - s(w). Solve c(u) = 0.
-6, -1
Let v(p) = -p + 9. Let h be 14/(-4)*(-9 + 7). Let z be v(h). Solve 2*l**3 + 3/2*l**z - l - 2*l**4 - 1/2 = 0 for l.
-1/2, 1
Let t(o) = 3*o**3 + 6*o**2 - 3*o + 2. Let d(k) = 4*k**3 + 7*k**2 - 4*k + 3. Let y(c) = -4*d(c) + 5*t(c). Factor y(l).
-(l - 2)*(l - 1)*(l + 1)
Let z(r) be the second derivative of -1/189*r**7 + 1/27*r**3 + 0*r**5 + 0*r**2 + 0 - 1/27*r**4 - 3*r + 2/135*r**6. Factor z(m).
-2*m*(m - 1)**3*(m + 1)/9
Let o(f) be the third derivative of f**8/168 + f**7/35 - f**6/30 - 2*f**5/5 - 2*f**4/3 + 8*f**2. Factor o(y).
2*y*(y - 2)*(y + 1)*(y + 2)**2
Let g be -7 + 3 + 8 - 6 - -4. Factor 2/9 + 2/9*r**g - 4/9*r.
2*(r - 1)**2/9
Let h(d) be the third derivative of -5*d**8/1344 + d**7/42 - d**6/24 - 13*d**2. Factor h(n).
-5*n**3*(n - 2)**2/4
Let l(y) be the second derivative of y**8/1344 + y**7/840 - y**6/480 - y**5/240 - y**2/2 - 4*y. Let z(s) be the first derivative of l(s). What is h in z(h) = 0?
-1, 0, 1
Let l(o) = 4*o**2 + 4*o - 4. Let c(b) = b**3 + 9*b**2 + 9*b - 9. Let h = -4 - -2. Let g(y) = h*c(y) + 5*l(y). Factor g(k).
-2*(k - 1)**2*(k + 1)
Let u(h) = -h + 1. Let n be u(-1). Let z be (n + (-92)/50)*5. Suppose -1/5*j**2 - z - 4/5*j = 0. Calculate j.
-2
Let z(u) = u. Let x(o) = -2*o - 1. Let y(p) = 3*x(p) + 5*z(p). Let b be y(-5). Find w, given that -1/4*w**4 + 0 - 1/2*w**3 - 1/4*w**b + 0*w = 0.
-1, 0
Let c(i) = i**2 + 8*i + 4. Let b be c(-3). Let d = -8 - b. Let 0*p**3 - 2*p**3 + p + p**d = 0. What is p?
-1, 0, 1
Let f(a) = -4*a**4 + 5*a**3 + a**2 + a. Let k(h) = 11*h**4 - 14*h**3 - 3*h**2 - 2*h. Let q(t) = -8*f(t) - 3*k(t). Let q(g) = 0. Calculate g.
-1, 0, 1, 2
Suppose 4*z - 2*f - f = 2, f = 2*z - 2. Factor -2*i + 3*i - 4*i**3 + 3*i**2 + i**3 - i**z.
-i*(i - 1)*(3*i + 1)
Let q(f) be the first derivative of 2*f**3/3 + f**2 - 4*f - 2. Factor q(d).
2*(d - 1)*(d + 2)
Suppose 0 = -3*x + 4*m - 0 + 125, 2*x + 4*m - 50 = 0. Let a be 2/7 - (-60)/x. Let 0 - 2/9*i**a - 2/9*i + 2/9*i**4 + 2/9*i**3 = 0. Calculate i.
-1, 0, 1
Let x(w) be the first derivative of -w**5/30 + w**4/8 + w**3/9 - w**2 + 4*w/3 + 10. Let x(d) = 0. What is d?
-2, 1, 2
Let b(w) be the first derivative of w**4/12 + w**3/2 + w**2 - w - 3. Let z(u) be the first derivative of b(u). Factor z(i).
(i + 1)*(i + 2)
Let n(v) = v - 7. Let s be n(9). Let r(m) be the first derivative of 0*m + 1/10*m**s + 2 - 1/15*m**3. Determine a so that r(a) = 0.
0, 1
Let z = -17 - -69/4. Find a, given that 0*a - z*a**2 + 1/4*a**3 + 0 = 0.
0, 1
Let z(c) be the first derivative of -5*c**4/12 - 25*c**3/9 + 5*c**2/6 + 25*c/3 + 29. What is y in z(y) = 0?
-5, -1, 1
Let d be 45/(-8)*3/(30/(-4)). Factor 7*k**2 + 0 + d*k**4 - 15/2*k**3 - 2*k.
k*(k - 2)*(3*k - 2)**2/4
Let m(n) = -n**3 - 4*n**2 + 4*n - 1. Let r be m(-5). Let o be (r/3)/(2/3). Solve 0*j**o + 0 + 0*j + 1/3*j**3 - 1/3*j**5 + 0*j**4 = 0.
-1, 0, 1
Suppose 7 = 3*h - 2*d, 0 = h + d - 6*d + 15. Let g(v) = 2*v - 6. Let w be g(h). Find m such that 4*m**4 - w*m**5 - 2*m**5 + 0*m**5 - 2*m**3 + 4*m**4 = 0.
0, 1/3, 1
Let q(j) be the third derivative of 1/90*j**5 + 0 - 5*j**2 - 1/36*j**4 + 0*j + 0*j**3. Factor q(i).
2*i*(i - 1)/3
Let m = 0 - -4. Let u be m/1 + -3 + 2. Determine c so that -c**4 + 2*c**2 - c**2 - c**3 + c**u = 0.
-1, 0, 1
What is j in -2*j**3 + 8*j**3 - 4*j**2 - j**4 - j**4 = 0?
0, 1, 2
Let n(y) be the third derivative of y**6/60 + y**5/10 + y**4/4 + y**3/3 - 12*y**2. Determine r so that n(r) = 0.
-1
Let v = -116 + 116. Factor 0*b + 2/7*b**3 + v*b**2 - 2/7*b**5 + 0*b**4 + 0.
-2*b**3*(b - 1)*(b + 1)/7
Let 2/13 - 2/13*p**4 + 4/13*p**3 - 4/13*p + 0*p**2 = 0. Calculate p.
-1, 1
Determine x so that 4/5*x**2 + 4/5*x + 0 = 0.
-1, 0
Suppose 8 = 2*b + 2. Let q(f) be the first derivative of 0*f**3 - b + 0*f + 1/12*f**4 - 1/6*f**2. Suppose q(z) = 0. Calculate z.
-1, 0, 1
Let o(k) = -14*k**5 - 8*k**4 + 12*k**3 - 8*k**2 + 2*k - 8. Let z(v) = 9*v**5 + 5*v**4 - 8*v**3 + 5*v**2 - v + 5. Let t(m) = 5*o(m) + 8*z(m). Factor t(u).
2*u*(u - 1)**2*(u + 1)**2
Let n(k) = -k. Let u(h) = -4*h**4 + 4*h**3 + 8*h**2 + 5*h. Let s(q) = -5*n(q) - u(q). Factor s(c).
4*c**2*(c - 2)*(c + 1)
Factor -2/3 + 10/3*y - 25/6*y**2.
-(5*y - 2)**2/6
Let f(q) = -2*q**5 - 2*q**4 + 2*q**3 - 6*q**2 + 4. Let a(u) = 2*u**5 + 3*u**4 - 2*u**3 + 7*u**2 - 5. Let h(o) = 4*a(o) + 5*f(o). Factor h(i).
-2*i**2*(i - 1)**2*(i + 1)
Let n(s) be the first derivative of -s**5 - 35*s**4/4 - 30*s**3 - 50*s**2 - 40*s - 1. Let n(d) = 0. Calculate d.
-2, -1
Suppose -4 - 2 = -3*s. Solve 2 - s + 3*j**2 + 3*j**3 = 0.
-1, 0
Let h be 8/(-20) + (-34)/(-10). Let b(p) be the first derivative of -1/9*p**h + 0*p - 1 + 0*p**2. What is l in b(l) = 0?
0
Let c(a) be the third derivative of a**10/50400 - a**8/6720 - a**5/30 + 5*a**2. Let w(v) be the third derivative of c(v). Factor w(g).
3*g**2*(g - 1)*(g + 1)
What is p in -5/4*p**3 + 1/4*p + 0 + 3/4*p**4 + 1/4*p**2 = 0?
-1/3, 0, 1
Let x be (2 - 134)*(-3)/9. Let v = -44 + x. Suppose v + 0*p + 1/3*p**2 = 0. Calculate p.
0
Suppose -5*x = -56 - 54. Let q = -19 + x. Find u, given that -2/11*u - 2/11*u**q + 4/11*u**2 + 0 = 0.
0, 1
Let s = 2/117 + 224/585. Find p such that -2/5*p**5 + 0*p + s*p**4 + 2/5*p**3 - 2/5*p**2 + 0 = 0.
-1, 0, 1
Suppose -7*y = -10*y. Solve -1/2*j*