of a**4/4 + a**3 - a. Factor h(b).
3*b*(b + 2)
Let h = 2 + 2. Let c(j) be the second derivative of -1/3*j**3 + 0 + 1/6*j**h + 0*j**2 + 2*j. Factor c(o).
2*o*(o - 1)
Suppose -5*u = -26 - 24. Suppose 0 = 5*z + 3*n - 4*n - u, 2*z - 4 = -5*n. Find b such that 2*b - 3*b**4 - b**2 - 15*b**2 - 8*b - 12*b**3 + b**z = 0.
-2, -1, 0
Let h(w) = -9*w**3 + 20*w**2 - 5*w. Let v(n) = 17*n**3 - 40*n**2 + 9*n - 1. Let o(l) = -15*h(l) - 6*v(l). Factor o(d).
3*(d - 1)**2*(11*d + 2)
Let 0*s**4 + 0*s + 2/11*s**2 - 1/11*s**5 + 0 + 3/11*s**3 = 0. What is s?
-1, 0, 2
Let u(r) be the first derivative of -r**3/6 + r/2 - 2. Suppose u(x) = 0. Calculate x.
-1, 1
Solve 5/2*j**5 + 0 - 3*j**3 + 0*j**2 + 13/2*j**4 + 0*j = 0.
-3, 0, 2/5
Let g(v) = -v**2 + 54*v + 174. Let w(y) = -15*y**2 + 755*y + 2435. Let a(n) = -85*g(n) + 6*w(n). Let a(t) = 0. What is t?
-6
Let 0*s**3 + 0 + 2/3*s**4 - 2/3*s**2 + 0*s = 0. What is s?
-1, 0, 1
Let v(j) = j + 1. Let o(a) = -5*a**4 - 10*a**3 - 15*a - 20. Let u(i) = -o(i) - 25*v(i). Factor u(x).
5*(x - 1)*(x + 1)**3
Let o(d) = -d - 9. Let k be o(-13). Let l be (-24)/(-9)*3 - k. Factor 0 + 1/4*i**2 - 1/4*i + 1/4*i**3 - 1/4*i**l.
-i*(i - 1)**2*(i + 1)/4
Suppose -4*d + 0*d + 492 = 0. Let q = d + -365/3. Suppose -q - 8/3*c**3 + 6*c - 2*c**2 = 0. What is c?
-2, 1/4, 1
Suppose -x - 4*a = 13, 4*x + 5*a = -x - 5. Solve 1 + 2*i**3 - x*i**3 + i - 2 - i**2 + 2 = 0 for i.
-1, 1
Let q(w) = 5*w**4 - 9*w**3 + 6*w**2 - 2*w - 3. Let m(v) = 26*v**4 - 46*v**3 + 30*v**2 - 10*v - 16. Let g(a) = 3*m(a) - 16*q(a). Solve g(o) = 0 for o.
0, 1
Suppose 5*x = 4*n + 4, 0*n - 4*x + 1 = -n. Let d be (-2 + 2 + n)*-2. Factor -2 - 2*m**2 + 7*m + 0*m**2 + 6*m**d.
(m + 2)*(4*m - 1)
Let 33*m + 32*m + m**2 - 3 - 1 - 68*m = 0. What is m?
-1, 4
Let b(r) = r**3 - 6*r**2 + 7*r - 4. Let w be b(5). Suppose 3*p = w*p. Solve 2/5*t**3 + 2*t**5 + p + 4/5*t**2 - 16/5*t**4 + 0*t = 0.
-2/5, 0, 1
Let g(l) be the second derivative of -l**6/10 + 9*l**5/20 - 3*l**4/4 + l**3/2 + 9*l. What is z in g(z) = 0?
0, 1
Let d(v) be the second derivative of 0 + 2/3*v**3 + 2*v**2 - 3*v + 1/12*v**4. Factor d(a).
(a + 2)**2
Let w(z) be the first derivative of z**6/1440 - z**5/480 + z**3/3 + 1. Let c(k) be the third derivative of w(k). Determine r, given that c(r) = 0.
0, 1
Find i such that -8/13*i**4 + 0 + 2*i**3 - 6/13*i**2 + 0*i = 0.
0, 1/4, 3
Find g such that 3/5*g**2 - 1/5*g**3 + 6/5*g - 8/5 = 0.
-2, 1, 4
Suppose -4*b = b. Suppose 3*w = -1 + 7. Determine k, given that -4/7*k**3 + 2/7*k + b*k**4 + 0 + 0*k**w + 2/7*k**5 = 0.
-1, 0, 1
Suppose 12 = 3*w - w. Let q = w - 1. Factor 0*f + 2/5*f**3 - 2/5*f**2 + 0 - 2/5*f**q + 2/5*f**4.
-2*f**2*(f - 1)**2*(f + 1)/5
Let o(r) be the first derivative of 3*r**5/5 - 3*r**4/2 - 3*r**3 + 6*r**2 + 12*r - 33. Let o(i) = 0. Calculate i.
-1, 2
Let s(y) = -y**2 + y + 5. Let j be s(0). Let r(d) = -3*d**2 + 5*d - 2. Let m be 3/(-48)*-4*4. Let g(k) = k**2 - k. Let o(u) = j*g(u) + m*r(u). Factor o(x).
2*(x - 1)*(x + 1)
Suppose 4*v = 3*v - 3*s + 5, -4*v = s - 20. Suppose 0 = v*j + 3*f + 2, j = -j + 2*f + 12. Factor 0*m**j + 0*m + 0 + 0*m**3 + 4/5*m**4 - 2/5*m**5.
-2*m**4*(m - 2)/5
Let x be 0*((-6)/(-2))/(-6). Find m such that 0 + x - 6*m - 2*m**2 - 4 = 0.
-2, -1
Determine q, given that -1/3*q**5 + q**3 - 2/3*q**4 + 0 + 4/3*q + 8/3*q**2 = 0.
-2, -1, 0, 2
Suppose -6 = -2*y + 4. Factor -5*n - 7*n**2 + 2*n - 6*n**4 + 3*n**y + 13*n**2.
3*n*(n - 1)**3*(n + 1)
Let c(p) be the second derivative of 3/2*p**2 + 0*p**3 - 6*p - 1/4*p**4 + 0. Factor c(d).
-3*(d - 1)*(d + 1)
What is w in 3/4*w - 9/2*w**2 + 9/2 - 3/4*w**3 = 0?
-6, -1, 1
Let p(i) be the first derivative of 2 + 1/10*i**4 - 8/5*i + 8/5*i**2 - 2/3*i**3. Find x, given that p(x) = 0.
1, 2
Solve -21 - 3/7*j**2 - 6*j = 0 for j.
-7
Let i = -4/15 + 14/15. Let f(o) be the second derivative of 1/6*o**4 + i*o**3 - o - 1/5*o**5 - 1/10*o**6 + 0 + 1/2*o**2. Factor f(r).
-(r - 1)*(r + 1)**2*(3*r + 1)
Let g = -2 + 5/2. Let k(f) be the first derivative of -g*f**2 - 4 - 2*f + 1/3*f**3. Factor k(a).
(a - 2)*(a + 1)
Determine x, given that -30*x - 12*x**2 + 22*x - 4*x**3 - 5*x**3 - 2*x**4 - 2 + x**3 = 0.
-1
Let x(v) be the first derivative of 0*v + 4 - 2*v**2 + 2*v**3 - 1/2*v**4. Factor x(k).
-2*k*(k - 2)*(k - 1)
Let u(c) be the third derivative of c**8/35 - 4*c**7/25 + 49*c**6/200 + c**5/25 - 11*c**4/40 - c**3/5 + 2*c**2 + 5*c. Determine i so that u(i) = 0.
-1/4, 1, 2
Factor -5*z - 10 - 3*z + 0*z + 2*z**2.
2*(z - 5)*(z + 1)
Let y(n) be the first derivative of -4/15*n**5 - 1/2*n**2 - 1 + 5/9*n**3 + 1/4*n**4 - 1/3*n. Let y(o) = 0. Calculate o.
-1, -1/4, 1
What is g in g**3 + 2/3*g**2 - 4/3*g + 0 - 1/6*g**4 - 1/6*g**5 = 0?
-2, 0, 1, 2
Let b(o) be the third derivative of -o**8/1512 + 4*o**7/945 - o**6/108 + o**5/135 - 11*o**2. Suppose b(n) = 0. What is n?
0, 1, 2
Suppose -10*m**2 + 8*m**4 + 0*m**2 + 43 - 38 - 3*m**4 = 0. Calculate m.
-1, 1
Let l = 285/32 - 47009/5280. Let n(u) be the third derivative of 0*u**3 + 0 + 0*u + 1/132*u**4 + l*u**5 + u**2. Factor n(a).
2*a*(a + 1)/11
Let w = -40 - -40. Let x(m) be the first derivative of -1 + 1/2*m**4 + 2/5*m**5 + w*m**3 + 0*m**2 + 0*m. Factor x(y).
2*y**3*(y + 1)
Suppose 27/2*d**2 - 75/2 - 3/2*d**3 - 45/2*d = 0. Calculate d.
-1, 5
Factor -3/4*i**3 + i + 2*i**2 + 0 - 9/4*i**4.
-i*(i - 1)*(3*i + 2)**2/4
Suppose i = 2*i. Suppose 0 = -i*y - 4*y + 8. Factor -4*x + 3*x + y*x - x**3.
-x*(x - 1)*(x + 1)
Let m be (1 - (-5)/(-3))*-2. What is t in 2/3*t**5 - 2/3*t - m*t**2 + 0*t**3 + 0 + 4/3*t**4 = 0?
-1, 0, 1
Suppose 8*p**4 + 5*p**5 - 4*p**3 + 4*p**5 + 3*p**5 = 0. What is p?
-1, 0, 1/3
Let j(u) = -20*u - 1. Let b be j(1). Let q be (-2)/2*b/7. Determine t, given that -2 + 3*t + 1/4*t**q - 3/2*t**2 = 0.
2
Let w(l) be the third derivative of l**5/60 - 5*l**4/24 - l**3 - 5*l**2. Find p, given that w(p) = 0.
-1, 6
Let h = -31 + 41. Let z be h/7 + (-4)/14. Factor -10/7*m - 4/7 - 2/7*m**3 - z*m**2.
-2*(m + 1)**2*(m + 2)/7
Suppose -8*n = 12 - 68. Let u(w) be the third derivative of 1/15*w**3 - 1/525*w**n - 1/30*w**4 + 0*w + w**2 + 1/150*w**6 + 0*w**5 + 0. Solve u(y) = 0 for y.
-1, 1
Let v(h) = -h**2 - 2*h. Let d be v(-2). What is s in 1 + d - 1 - 3*s**4 - 3*s**3 = 0?
-1, 0
Let h(l) be the third derivative of l**5/30 - l**4/4 + 2*l**3/3 + 2*l**2 + 1. Solve h(j) = 0.
1, 2
Let l be 63/36 + (-1)/(-4). Suppose 4*d**3 - 3 - 8*d + 6*d**l - 4 - 1 - 2*d**4 = 0. Calculate d.
-1, 2
Let n be 2/1 - (1 - 2). Suppose -1 = -4*a + 7. Find j, given that -j - 21*j**a + n*j + 4*j = 0.
0, 2/7
Let q(r) be the first derivative of -r**6/48 + r**5/20 + r**4/32 - r**3/12 + 18. What is k in q(k) = 0?
-1, 0, 1, 2
Let b = 17 + -87/5. Let y = b - -13/20. Suppose -1/4*h**2 - y + 1/2*h = 0. What is h?
1
Factor -4/5*i**2 - 16/5 - 4*i.
-4*(i + 1)*(i + 4)/5
Determine d so that -5*d**3 + 34 - 9 + 8*d**2 + 7*d**2 + 45*d = 0.
-1, 5
Suppose -f + 0*f - 2 = 0. Let v be ((-2)/(-3))/(f/(-6)). Factor -2*g - 3*g**2 + g**2 + 0*g**v.
-2*g*(g + 1)
Let c(m) be the second derivative of -3*m + 0 - 1/4*m**3 - 1/8*m**4 + 0*m**2. Solve c(r) = 0.
-1, 0
Factor 3*p**4 - 2*p**2 - 4*p**4 + 2*p**4 + 1.
(p - 1)**2*(p + 1)**2
Let h(i) be the second derivative of 6*i + 0*i**5 + 1/90*i**6 + 0*i**2 + 0 + 0*i**3 + 0*i**4. Factor h(s).
s**4/3
Suppose 3 - 25 = -4*i + t, -2 = -2*i - 4*t. Determine x, given that 0 - 10/7*x**2 + 6/7*x**3 - 8/7*x**i + 10/7*x**4 + 2/7*x = 0.
-1, 0, 1/4, 1
Suppose 0*n + 2*k = -3*n + 10, 0 = n - k - 5. Find t such that -4*t + 10*t**2 + t**n - 6*t**3 + t**4 - 2*t**3 = 0.
0, 1, 2
Let z(n) be the third derivative of 5*n**5/72 + 5*n**4/36 + n**3/9 + 11*n**2. Determine u, given that z(u) = 0.
-2/5
Let y(m) = -5 + 6 - 3. Let k(q) = -q**4 - q**3 + 11. Let f(s) = -4*k(s) - 22*y(s). Let f(l) = 0. What is l?
-1, 0
Suppose -13 - 5 = p + 5*q, 8 = -4*p - 4*q. Determine w so that p*w + 2/3*w**2 + 4/3 = 0.
-2, -1
Let u(t) be the third derivative of 3/5*t**6 - 1/2*t**3 - 1/20*t**5 - 4*t**2 - 3/4*t**4 + 0*t + 0 - 8/35*t**7. Factor u(v).
-3*(v - 1)**2*(4*v + 1)**2
Let p(z) = z**3 + 2*z**2 - 3*z + 3. Let d be p(-3). Let m be ((96/20)/(-4))/(9/(-24)). Let 9/5*k**5 + 0*k + 2/5*k**2 - m*k**4 + k**d + 0 = 0. Calculate k.
-2/9, 0, 1
Factor 6/11*j**2 + 8/11*j**3 + 0 - 36/11*j - 2/11*j**4.
-2*j*(j - 3)**2*(j + 2)/11
Factor -7*a**3 + 12*a**2 + 4*a - 9*a + 4*a**3 - 7*a.
-3*a*(a - 2)**2
Suppose 0 = 