t**2 - 1 - 4*t**3 + t**2 + 4. Let l(f) = 2*f**3 - 5*f**2 - 1. Let g(q) = 10*l(q) + 4*s(q). Let g(i) = 0. Calculate i.
-1/2, 1
Let h be 92/9 + (-2)/9. Suppose 0*v = -5*v + h. Find p such that 2*p**v + p**2 - 4*p**2 = 0.
0
Determine t so that -2/5*t**3 + 2/5*t + 0*t**2 + 0 = 0.
-1, 0, 1
Let g(f) be the third derivative of f**5/60 - f**3/3 + 4*f**2. Let l be g(2). Determine q, given that -2/7 + 0*q**3 + 0*q - 2/7*q**4 + 4/7*q**l = 0.
-1, 1
Let q(k) be the second derivative of -k**4/102 + 8*k**3/51 - 16*k**2/17 - 3*k. Factor q(h).
-2*(h - 4)**2/17
Solve -12/7*q**2 + 0*q**3 + 2/7*q**4 - 6/7 + 16/7*q = 0.
-3, 1
Let m(t) be the second derivative of t**5/10 - 7*t**4/6 - 37*t. Factor m(k).
2*k**2*(k - 7)
Suppose 2*a = t - 11, 5*t + 0 = -3*a + 3. Let p(u) = -u**3 - 12*u**2 + u + 14. Let v be p(-12). Factor -3*g**3 - t*g**2 - g**v + g**3.
-2*g**2*(g + 2)
Let h = -23 - -33. Let f = 10 - h. Determine j so that -2/5*j**2 + 0 + 0*j**3 + f*j + 2/5*j**4 = 0.
-1, 0, 1
Factor -4 - 4*r**2 - 5*r**2 - 6*r + 4 - 3*r**3.
-3*r*(r + 1)*(r + 2)
Suppose -3*b - 2*b = -1665. Determine h, given that 243 + 9*h - 43*h**3 - b*h + 7*h**3 + 3*h**4 + 162*h**2 = 0.
3
Let u(w) be the third derivative of w**7/840 + w**6/80 + w**5/48 - 26*w**2 + 1. Factor u(j).
j**2*(j + 1)*(j + 5)/4
Let b be (6/4)/(1/2). Let c = -5 + 9. Factor -2*p**4 + 3*p**3 + b*p**4 - c*p**3 + p - p**2.
p*(p - 1)**2*(p + 1)
Let r(q) be the second derivative of -q**7/168 + q**6/120 + q**5/80 - q**4/48 + 3*q. What is o in r(o) = 0?
-1, 0, 1
Suppose 23 + 10 = 11*a. Let z(x) be the first derivative of -2/21*x**3 + 0*x + a - 1/7*x**2. Factor z(c).
-2*c*(c + 1)/7
Let i(t) be the third derivative of -3*t**6/200 - t**5/100 + t**4/20 + 65*t**2. Determine z, given that i(z) = 0.
-1, 0, 2/3
Determine r, given that -3*r**3 + 8*r**2 - 4*r**2 + 6*r**3 - 4*r**4 - 4*r + r**5 = 0.
-1, 0, 1, 2
Let f = -3 - -5. Let m be f + 20/(-6) + 2. Factor 0 - 4/3*v**2 + 2/3*v + m*v**3.
2*v*(v - 1)**2/3
Suppose -8 = d + 3*b + 2*b, -5*d - 5*b = 0. Let j be (10/(-6))/(1/(-3)). Find y such that 1/2*y**4 + 1/2*y**3 - 1/2*y**d + 0*y + 0 - 1/2*y**j = 0.
-1, 0, 1
Suppose 3*n = 3*i + 9, -n - 5*i = 4*n - 25. Find m such that 4*m**3 + 6*m - 2*m**n - 10*m**3 - m**4 + 3 = 0.
-1, 1
Let r(x) be the first derivative of 7*x**5 - 5*x**4/2 - 35*x**3/3 + 5*x**2 + 6. Factor r(k).
5*k*(k - 1)*(k + 1)*(7*k - 2)
Let l(x) be the first derivative of 0*x - 16/35*x**5 + 2/7*x**2 - 16/21*x**3 + 2 + 6/7*x**4 + 2/21*x**6. Factor l(a).
4*a*(a - 1)**4/7
Let t be 3/(5/(-4) + 2). Factor 10/13*q**3 + 0 - 2/13*q + 2/13*q**2 + 6/13*q**t.
2*q*(q + 1)**2*(3*q - 1)/13
Let h = 5 - 0. Suppose 4*p + 5*m = -3, 5*m = p - h - 13. Factor 0*v + 0 + 0*v**2 + 2/9*v**4 - 2/9*v**p.
2*v**3*(v - 1)/9
Suppose -9/2*y - 3/2*y**2 - 3 = 0. Calculate y.
-2, -1
Suppose -13*i**2 + 4*i**2 + 9*i**2 + 3*i**3 + 3*i**2 = 0. What is i?
-1, 0
Suppose -6/11*s - 2/11*s**2 + 20/11 = 0. What is s?
-5, 2
Let b(g) be the first derivative of g**6/18 + 2*g**5/15 - g**4/12 - 2*g**3/9 - 3. Find t such that b(t) = 0.
-2, -1, 0, 1
Suppose -p + m + 3 = -2, p + 10 = -2*m. Suppose 2/9 + p*b + 0*b**3 - 4/9*b**2 + 2/9*b**4 = 0. What is b?
-1, 1
Let o(i) be the first derivative of 5*i**6/6 - i**5 - 5*i**4/2 + 10*i**3/3 + 5*i**2/2 - 5*i + 18. Factor o(z).
5*(z - 1)**3*(z + 1)**2
Let l = -27 - -29. Suppose -g - 1/2 - 1/2*g**l = 0. What is g?
-1
Let m(l) = 80*l**3 - 80*l**2. Let a(q) = 9*q**3 - 9*q**2. Let x(h) = -35*a(h) + 4*m(h). Factor x(o).
5*o**2*(o - 1)
Let r(d) = -d**2 + 5*d - 4. Let q be r(3). Let b(j) be the third derivative of 0*j + 0 - 1/120*j**5 + 0*j**3 - 1/48*j**4 - 4*j**q. Factor b(h).
-h*(h + 1)/2
Let g(z) = z**5 - 6*z**3 + 0*z**5 - 5*z**2 + 5*z**5. Let m(o) = 2*o**4 + 10*o**2 - 2*o**4 - 4*o**2 + 7*o**3 - 7*o**5. Let t(j) = -6*g(j) - 5*m(j). Factor t(h).
-h**3*(h - 1)*(h + 1)
Factor 1/4*z**3 + 0 + 1/2*z**2 + 1/4*z.
z*(z + 1)**2/4
Suppose 3*d + 2*p - 8 = 0, -3*p - 2 + 9 = 2*d. Suppose -4*k + 6 = -d. Factor 0*l + 2*l**4 - 1/2*l**3 + 0*l**k - 3/2*l**5 + 0.
-l**3*(l - 1)*(3*l - 1)/2
Suppose -6*p + 3*p + 3 = 0. Let s be 3 + p + (1 - 2). What is r in 3*r + 5*r**2 - 5*r**2 + 9*r**4 - 6*r**5 + 3*r**s - 9*r**2 = 0?
-1, 0, 1/2, 1
Factor 1 + 2 - 5*k**2 + 3*k**2 + 8*k - 11.
-2*(k - 2)**2
Let r(c) be the third derivative of -c**5/60 + c**4/12 - c**3/6 + c**2. Let r(z) = 0. What is z?
1
Let r(a) = -11*a**2 - 111*a - 7. Let n be r(-10). Find b, given that 1/6 + 1/2*b**2 - 1/2*b - 1/6*b**n = 0.
1
Suppose 0 = 4*t - 2*t. Let a(p) be the third derivative of 0*p + 1/270*p**5 + t*p**3 - p**2 - 1/108*p**4 + 0. Factor a(n).
2*n*(n - 1)/9
Suppose 0 = -704*x + 697*x + 28. Determine b so that 0*b**3 + 0*b**2 - 1/6*b**x + 0 + 0*b = 0.
0
Let a(j) be the second derivative of j**6/6 + 3*j**5/4 + 15*j. Factor a(g).
5*g**3*(g + 3)
Let a(x) be the first derivative of x**7/840 - x**5/120 + x**3/24 + 3*x**2/2 - 6. Let j(i) be the second derivative of a(i). Factor j(v).
(v - 1)**2*(v + 1)**2/4
Let m(v) = -v**5 + 11*v**4 + 7*v**3 - 11*v**2 + 3*v. Let f(a) = -12*a**4 - 8*a**3 + 12*a**2 - 4*a. Let w(l) = -3*f(l) - 4*m(l). Factor w(k).
4*k**2*(k - 2)*(k - 1)*(k + 1)
Let 2*p**3 + 0 + 8/3*p**2 + 2/3*p = 0. What is p?
-1, -1/3, 0
Let i = -47 - -23. Let h = i + 49/2. Solve -1/2*z**3 - 3/2*z - h - 3/2*z**2 = 0 for z.
-1
Let q = -7 - -49. Let a be 144/q - 3/7. Suppose 2/9*t**a + 4/9 + 8/9*t**2 + 10/9*t = 0. What is t?
-2, -1
Let i(y) be the second derivative of 0*y**4 + 1/11*y**2 + 0 - 2/33*y**3 - 1/165*y**6 - 3*y + 1/55*y**5. Suppose i(j) = 0. What is j?
-1, 1
Let p(w) be the second derivative of -1/12*w**4 + 0 + 0*w**2 + 0*w**3 - 1/20*w**5 - 5*w. Solve p(b) = 0 for b.
-1, 0
Let w be 3 + (-7 + 0 + 4 - -3). Let d(b) be the second derivative of 1/6*b**4 + 0 + 0*b**5 - 1/42*b**7 + 1/6*b**3 + 0*b**2 + w*b - 1/15*b**6. Factor d(l).
-l*(l - 1)*(l + 1)**3
Let f(m) = -3*m - m - m**3 + 4*m**2 + m. Suppose -8 = -5*w + 12. Let i(a) = -a**3 + 5*a**2 - 4*a. Let q(g) = w*i(g) - 5*f(g). Factor q(b).
b*(b - 1)*(b + 1)
Let d(x) be the second derivative of 3*x**5/20 - x**4/12 - x**3/2 + x**2/2 + 3*x. Factor d(b).
(b - 1)*(b + 1)*(3*b - 1)
Let o(v) = 16*v**3 + 25*v**2 - 23*v - 13. Let b(r) = 24*r**3 + 38*r**2 - 34*r - 20. Let m(q) = 5*b(q) - 8*o(q). Factor m(x).
-2*(x - 1)*(x + 2)*(4*x + 1)
Let n(m) be the third derivative of -m**5/15 - m**4/6 + 4*m**3/3 + 19*m**2. Factor n(r).
-4*(r - 1)*(r + 2)
Factor -6 + 12*p - 4*p**2 + 5 - 4*p - 3.
-4*(p - 1)**2
Let d(g) be the third derivative of g**8/30240 + g**7/3780 + g**6/1080 + g**5/20 + 5*g**2. Let m(t) be the third derivative of d(t). Factor m(n).
2*(n + 1)**2/3
Let i(z) be the second derivative of -z**8/224 - z**7/140 - 3*z**2 - 3*z. Let l(c) be the first derivative of i(c). Let l(t) = 0. What is t?
-1, 0
Let y(z) = 2*z**2 - 19*z - 7. Let n be y(10). Factor 0*u + 2/5 - 4/5*u**2 + 0*u**n + 2/5*u**4.
2*(u - 1)**2*(u + 1)**2/5
Let m(o) = -4*o - 14. Let f be m(-4). Suppose -4*y + 12 = f*y. Factor 4/5 - 6/5*l + 2/5*l**y.
2*(l - 2)*(l - 1)/5
Let r(m) be the second derivative of -m**4/6 + m**2 + m. Factor r(w).
-2*(w - 1)*(w + 1)
Let d be (-2)/4*(-2 - 5). Find c, given that -9/2*c**2 + 1 - d*c = 0.
-1, 2/9
Let r = -48 + 68. Let p be (-5)/r + (-6)/(-8). Find z such that 0*z + p - 1/2*z**2 = 0.
-1, 1
Let r be ((-1)/15)/((-18)/15). Let z(d) be the first derivative of 2 + r*d**6 + 2/15*d**5 - 2/9*d**3 - 1/6*d**2 + 0*d + 0*d**4. Find m such that z(m) = 0.
-1, 0, 1
Let d(u) be the second derivative of 1/5*u**5 - 2/3*u**3 - 4*u - 1/15*u**6 + 0*u**2 + 1/6*u**4 + 0. Factor d(n).
-2*n*(n - 2)*(n - 1)*(n + 1)
Let i = 0 - -2. Let x(l) = l**2 - 6*l - 4. Let v be x(7). Suppose 4*h + 3*h + h**3 + 9*h**2 + 2*h**v + 3 + i*h = 0. What is h?
-1
Let n be ((-2)/3*-6)/(-2). Let p = 5 + n. Suppose 0*l - 2/7*l**4 + 0 - 2/7*l**2 - 4/7*l**p = 0. What is l?
-1, 0
Let g be (-11)/(693/(-14))*(1 - 0). Suppose -2/9*h**4 + 0*h + 0 + 0*h**2 - g*h**3 = 0. What is h?
-1, 0
Let q = -358 - -362. Determine i, given that -4/3*i**2 + 0*i + 2*i**3 + 0 - 2/3*i**q = 0.
0, 1, 2
Let t(g) be the second derivative of -g**8/504 + g**6/90 - g**4/36 + g**2 - 3*g. Let b(h) be the first derivative of t(h). Factor b(j).
-2*j*(j - 1)**2*(j + 1)**2/3
Let x(v) be the second derivative of v**7/2100 + v**6/450 - v**5/300 - v**4/30 + v**3/2 + 5*v. Let u(w) be the second derivative of x(w). Fa