 + 24*w**2. Determine u, given that h(u) = 0.
-3, -1, 0, 1
Suppose -3*r + 6 = -2*r. Suppose 0 = 3*g - r*g. Solve -2/3*v**2 + g + 2/3*v = 0.
0, 1
Let p(r) = -96*r**2 - 2*r. Let h be p(-2). Let y = 1906/5 + h. Suppose -2/5*w + 2/5*w**4 + 0 + 6/5*w**2 - y*w**3 = 0. Calculate w.
0, 1
Let t(u) = -7*u**3 + 7*u**2 + 7*u - 7. Let p(z) = 3*z**3 - 3*z**2 - 3*z + 3. Suppose 8*m - 3*m = 75. Let r(k) = m*p(k) + 6*t(k). Factor r(h).
3*(h - 1)**2*(h + 1)
Suppose 1 = -17*m + 35. Factor -4/5*g**3 + 2/5 - 4/5*g**m + 2/5*g**4 + 2/5*g**5 + 2/5*g.
2*(g - 1)**2*(g + 1)**3/5
Let h(o) be the first derivative of -4/15*o**5 - 1/6*o**4 - 1/9*o**6 + 0*o**2 + 0*o**3 + 0*o - 1. Factor h(k).
-2*k**3*(k + 1)**2/3
Let i(b) = 8*b**3 + 2*b**2 + 16*b - 2. Let j(l) = 17*l**3 + 3*l**2 + 33*l - 5. Let z be (-2 - 15/(-1))/1. Let k(a) = z*i(a) - 6*j(a). Factor k(p).
2*(p + 1)**2*(p + 2)
Let y = -90 + 272/3. Solve -4/3*k**2 + 4/3 - 2/3*k + y*k**3 = 0.
-1, 1, 2
Determine t so that -12*t**5 + 16*t**4 + 4*t**3 - 33*t + 33*t - 8*t**2 = 0.
-2/3, 0, 1
Let w(n) be the third derivative of -n**7/1365 - n**6/390 - n**5/390 + 28*n**2. What is s in w(s) = 0?
-1, 0
Let o(b) = 2*b**4 - 20*b**3 - 6*b**2 - 8*b + 8. Let f(c) = c**4 - 13*c**3 - 4*c**2 - 5*c + 5. Let q(z) = 8*f(z) - 5*o(z). Factor q(v).
-2*v**2*(v + 1)**2
Let y(p) be the first derivative of -12*p**5/5 + 12*p**4 - 13*p**3 + 9*p**2/2 - 1. Find u such that y(u) = 0.
0, 1/2, 3
Suppose -2*i = 3*g - 14, 0 = -g - i + 6. Suppose 6/11*z**g - 2/11*z**3 + 4/11*z + 0 - 2/11*z**5 - 6/11*z**4 = 0. Calculate z.
-2, -1, 0, 1
Suppose 1/3*f**3 - 2/3*f**2 + 0*f + 0 = 0. What is f?
0, 2
Suppose 3*m - 4 = -4*z + 10, 3*m = 6. Find y such that 3*y**3 - 4*y**3 + y**5 + z*y**2 - 3*y**2 + y**4 = 0.
-1, 0, 1
Determine b so that 74/11*b**2 + 240/11*b + 6/11*b**3 + 72/11 = 0.
-6, -1/3
Let q(b) be the second derivative of 0*b**2 + 0 + 0*b**3 + 2/5*b**5 - 1/3*b**4 + 4*b + 2/5*b**6. Find l, given that q(l) = 0.
-1, 0, 1/3
Let c(x) be the third derivative of x**8/26880 + x**7/2240 + x**6/480 + x**5/20 + 4*x**2. Let v(m) be the third derivative of c(m). Factor v(n).
3*(n + 1)*(n + 2)/4
Let q(n) be the third derivative of -4*n**7/735 + n**6/420 + 2*n**5/105 - n**4/84 - 9*n**2. Solve q(z) = 0 for z.
-1, 0, 1/4, 1
Solve -8/3*k**2 - 2 + 1/3*k**3 + 13/3*k = 0 for k.
1, 6
Let h = -1 - 4. Let l be 3/((-3)/h) - 3. Suppose -2*i**l + 15*i**3 - 6*i**2 + 48*i**4 + 2*i**2 + 14*i**5 + 13*i**5 = 0. What is i?
-1, 0, 2/9
Let m(i) be the second derivative of 3*i**5/40 + i**4/4 - 5*i. Factor m(y).
3*y**2*(y + 2)/2
Let f be 732/(-9) + (-5)/(-15). Let z be 2/9 - 144/f. Solve 0*l + 3*l**3 - 6/5*l**4 - 3*l**5 + 6/5*l**z + 0 = 0 for l.
-1, -2/5, 0, 1
Suppose 2*y = -3*y + 4*k + 3, 0 = 2*y - 3*k + 3. Suppose 2 = 5*v - y*v + 2*p, -2*v + 20 = -4*p. Factor -2/9*m**2 + 0 - 2/9*m**v + 0*m - 4/9*m**3.
-2*m**2*(m + 1)**2/9
Let p = -31 + 33. Let f(c) be the first derivative of -1/15*c**5 + 0*c**p + 0*c + 1/6*c**4 - 1 - 1/9*c**3. Suppose f(v) = 0. What is v?
0, 1
Suppose 1 = -2*a + q, 3*q + 37 = -4*a - 2*q. Let h be (-2 + 2 - a)/1. Determine g, given that -1/2*g**4 + 1/4*g**5 + 0*g**h + 0 + 0*g**2 + 0*g = 0.
0, 2
Suppose -h = h + 3*i + 8, 2*h = i + 8. Factor 3*y**3 - 2*y**4 - 4*y**5 + 6*y**5 - 13*y**3 + 16*y + 2*y**h + 8.
2*(y - 2)**2*(y + 1)**3
Let k(p) = 3*p**4 - 5*p**3 - 4*p**2 + 2. Let q(o) = 4*o**4 - 6*o**3 - 4*o**2 + 3. Let t(d) = 6*k(d) - 4*q(d). Suppose t(a) = 0. Calculate a.
-1, 0, 4
Let b(h) be the third derivative of 5/12*h**4 + 2/15*h**5 + 2*h**2 + 0 + 2/3*h**3 + 0*h + 1/60*h**6. Factor b(t).
2*(t + 1)**2*(t + 2)
Let p be (-181)/(-630) - (5 + 66/(-14)). Let h(w) be the third derivative of p*w**7 - 3*w**2 + 0*w - 1/360*w**6 + 0*w**3 + 0 + 0*w**4 + 0*w**5. Factor h(s).
s**3*(s - 1)/3
Let c(l) = l**3 - 3*l**2 + 3*l. Let z be -2 - -1 - (-6 + 3). Let p be c(z). Factor 4/3*k**p - 2/3*k**3 - 2/3*k + 0.
-2*k*(k - 1)**2/3
Let p(a) = 5*a**2 - 3*a - 2. Suppose 4*o - 21 = -73. Let f = -9 - o. Let r(q) = -q**2 + q. Let x(j) = f*r(j) + p(j). Determine t so that x(t) = 0.
-2, 1
Let q(v) be the second derivative of -v**7/42 + v**6/30 + 3*v**5/20 - v**4/12 - v**3/3 - 3*v. Factor q(o).
-o*(o - 2)*(o - 1)*(o + 1)**2
Factor 9 + 15*h - 21*h - 4*h**2 + h**2.
-3*(h - 1)*(h + 3)
Factor 3*t**3 + 12/7 + 39/7*t + 45/7*t**2 + 3/7*t**4.
3*(t + 1)**3*(t + 4)/7
Let q(d) be the third derivative of -3*d**7/280 + 7*d**6/80 - 5*d**5/48 + d**4/24 + 5*d**2. Let q(m) = 0. What is m?
0, 1/3, 4
Let o(d) = d**2. Let r(k) = 3*k + k**2 - 2*k**2 - 2 + 2*k**2. Let c(l) = -12*o(l) - 3*r(l). Factor c(y).
-3*(y + 1)*(5*y - 2)
Factor -5*s**2 + 0*s - 3*s + 2*s**2.
-3*s*(s + 1)
Let m(g) be the second derivative of g**6/16 - 21*g**5/160 + g**4/16 - 6*g. Let m(b) = 0. What is b?
0, 2/5, 1
Let q be (6/27)/(80/90). Factor -1/4*o**2 + 1/4*o**4 + q*o + 0 - 1/4*o**3.
o*(o - 1)**2*(o + 1)/4
Let v be ((30/(-9))/5)/(-3). Let m(w) be the first derivative of -1/15*w**5 + 0*w**2 + 1 - 1/3*w + v*w**3 + 0*w**4. Let m(n) = 0. What is n?
-1, 1
Let i(m) be the first derivative of m**4 - 8*m**3 + 18*m**2 - 16*m - 18. Factor i(f).
4*(f - 4)*(f - 1)**2
Let d be (-15)/(-6)*(-5)/(-25). Let f(o) be the second derivative of 0 - 1/6*o**3 + d*o**2 - o - 1/12*o**4 + 1/20*o**5. Let f(b) = 0. What is b?
-1, 1
Let p(h) = -h**2 + 5*h + 1. Let m be p(4). Find a such that 10*a**m + 24*a**4 + 1 - 5*a**3 - 1 + 13*a**3 = 0.
-2, -2/5, 0
Let x(r) be the first derivative of -3/20*r**4 + 0*r**2 + 0*r**3 - 1 + 0*r + 3/25*r**5. Factor x(a).
3*a**3*(a - 1)/5
Let b(r) be the second derivative of -r**10/50400 - r**9/6300 - r**8/2240 - r**7/2100 - r**4/4 - 3*r. Let y(c) be the third derivative of b(c). Solve y(z) = 0.
-2, -1, 0
Let r(z) be the first derivative of 3*z**4/4 + 2*z**3/3 - 3*z**2/2 - 2*z - 23. Suppose r(s) = 0. What is s?
-1, -2/3, 1
Let h(c) be the second derivative of c**7/1050 + c**6/450 - c**3/3 + c. Let u(v) be the second derivative of h(v). Find q, given that u(q) = 0.
-1, 0
Suppose j = 1 - 7. Let y = 12 + j. Determine c so that -2 - 5/2*c**2 - y*c = 0.
-2, -2/5
Suppose -3*p - 7*p = 0. Let -1/5*q**3 + 1/5*q**5 + 0*q**2 + 0*q + 0 + p*q**4 = 0. What is q?
-1, 0, 1
Suppose -6*s + 3*s = 6. Let h be (0 + 0)/(3 + s). Find d such that -1/4*d + h + 1/4*d**2 = 0.
0, 1
Suppose -480 + 10*s**4 + 40*s**3 - 5/3*s**5 - 400/3*s**2 - 560*s = 0. What is s?
-2, 6
Let d(z) be the first derivative of z**7/21 + z**6/3 + 9*z**5/10 + 7*z**4/6 + 2*z**3/3 - 3*z + 5. Let v(o) be the first derivative of d(o). Factor v(g).
2*g*(g + 1)**3*(g + 2)
Let o = -12/145 + 14/29. Factor 6/5*t**3 + 0 - 6/5*t**2 + 2/5*t - o*t**4.
-2*t*(t - 1)**3/5
Let a(n) be the third derivative of n**8/1344 + n**7/280 + n**6/160 + n**5/240 + 17*n**2. What is g in a(g) = 0?
-1, 0
Let z(m) = -2*m + 5*m + 8*m - 11*m**2. Let v(y) = y - 1. Let s be v(6). Let q(a) = -5*a**2 + 5*a. Let p(g) = s*q(g) - 2*z(g). Factor p(b).
-3*b*(b - 1)
Let z(n) be the first derivative of 2 + 2*n + 0*n**4 + 0*n**3 + 1/90*n**5 + 0*n**2. Let v(j) be the first derivative of z(j). Factor v(i).
2*i**3/9
Factor 0*m + 0*m - m**2 + 11*m**2 + 5*m**3 + 5*m.
5*m*(m + 1)**2
Let h(z) be the second derivative of -z**7/168 - z**6/30 - 3*z**5/80 + z**4/12 + z**3/6 - 2*z. Find s such that h(s) = 0.
-2, -1, 0, 1
Let v be (3/2)/(3/(-4)). Let h = 2 + v. Factor h*n - 1/3 + 1/3*n**2.
(n - 1)*(n + 1)/3
Let o(y) = -494*y**4 - 108*y**3 + 2*y**2 - 8*y. Let d(m) = -165*m**4 - 36*m**3 + m**2 - 3*m. Let t(h) = -8*d(h) + 3*o(h). Factor t(n).
-2*n**2*(9*n + 1)**2
Factor 0*k**3 - 2*k**4 + 2*k**3 + 3*k**2 + k**2.
-2*k**2*(k - 2)*(k + 1)
Let u(l) = -5*l**4 - 12*l**3 + 17*l**2 - 11*l. Let c(m) = 3*m + m - m**3 - 6*m**2 + 2*m**4 + 5*m**3. Let j(g) = 11*c(g) + 4*u(g). Factor j(i).
2*i**2*(i - 1)**2
Let c = 18 + -15. Determine a so that -2*a**5 - 1/2*a**c + 11/2*a**4 + 1 + 5/2*a - 13/2*a**2 = 0.
-1, -1/4, 1, 2
Factor 6/11*g**2 + 2/11 + 6/11*g + 2/11*g**3.
2*(g + 1)**3/11
Let v(g) be the first derivative of -g**5/100 - g**4/60 + g**3/30 + g**2/10 + 3*g + 2. Let w(z) be the first derivative of v(z). Let w(a) = 0. What is a?
-1, 1
Let z be (-6 + 0)/(129/(-86)). Let -2/9*u**z - 2/3*u**2 + 0 - 2/3*u**3 - 2/9*u = 0. Calculate u.
-1, 0
Suppose -l - 12 = 4*b, -4*b = -l + 4 - 0. Let n = b + 5. Factor 11*q**5 - 4*q**5 + n*q**5 + 4*q**4.
2*q**4*(5*q + 2)
Let j(n) = 2*n + 1 - 3 + 2 - 5. Let v b