- 2*y**2. Factor g(n).
2*n*(n - 1)*(n + 1)*(n + 2)/7
Let s(x) = -2*x**3 + x**2 - 2*x + 4. Let j be s(0). Let w(k) be the third derivative of -2*k**2 + 1/100*k**5 + 0 + 0*k + 0*k**j - 1/10*k**3. Factor w(t).
3*(t - 1)*(t + 1)/5
Let q(j) be the first derivative of -j**5/60 - j**4/18 - j**3/18 + 4*j - 4. Let u(g) be the first derivative of q(g). Factor u(l).
-l*(l + 1)**2/3
Determine q so that -1/3*q**5 + 1/3*q**2 + q**4 - q**3 + 0 + 0*q = 0.
0, 1
Let p(z) be the third derivative of -1/5*z**5 - 1/15*z**6 - 1/3*z**4 - 3*z**2 - 1/105*z**7 + 0*z - 1/3*z**3 + 0. What is s in p(s) = 0?
-1
Let k be (-5)/(10/3)*(-24)/18. What is x in 0 - 2/3*x**5 + 0*x - 2*x**4 - 2/3*x**k - 2*x**3 = 0?
-1, 0
Let q be (-2)/(-6)*9*1. Let p(x) be the first derivative of -x**2 + 2/3*x**q + 2 + 0*x. Factor p(m).
2*m*(m - 1)
Solve 1/2 - q**2 - 1/4*q + 1/2*q**4 + 1/2*q**3 - 1/4*q**5 = 0.
-1, 1, 2
Suppose -5*z + 15 = 5*j, 5*j - 6*j - 4*z = -18. Let l be (-1)/j + 1/(-10). Factor 2/5*n**4 - 2/5*n**3 + l*n + 0 - 2/5*n**2.
2*n*(n - 1)**2*(n + 1)/5
Let q = 949/2 + -470. Factor -3/2*p**2 - q*p - 3.
-3*(p + 1)*(p + 2)/2
Let q(c) be the second derivative of -c**7/14 + c**6 - 6*c**5 + 20*c**4 - 40*c**3 + 48*c**2 + 14*c. Factor q(j).
-3*(j - 2)**5
Let g(f) be the third derivative of 1/168*f**8 - 2/105*f**7 + 0*f**3 + 0*f**4 + 1/60*f**6 + 0*f + 0*f**5 - 4*f**2 + 0. Suppose g(p) = 0. Calculate p.
0, 1
Let c = 11 + -11. Suppose i = 3*v - 12, 20 = 5*i - c*v + v. Let -2/3*w**i + 0 - 2/3*w + 4/3*w**2 = 0. What is w?
0, 1
Let r(i) = i**3 - 6*i**2 + 5*i + 3. Suppose -3*w + 0 = -15. Let n be r(w). Find k, given that 5*k**4 + 2*k + 3*k**n - k**5 + 0*k**2 - 5*k**2 - 4*k**4 = 0.
-2, 0, 1
Let d(f) = f - 10. Let w be d(10). Let k(v) be the first derivative of 2/5*v**5 + w*v**3 + 1 + 2*v**2 - v**4 - 2*v. Factor k(a).
2*(a - 1)**3*(a + 1)
Let g = 11 - 9. Let x(k) be the first derivative of 2 + 3/4*k**g + 3/4*k + 1/4*k**3. Find a, given that x(a) = 0.
-1
Let b(d) be the first derivative of -d**4/26 - 10*d**3/39 - 4*d**2/13 + 2. Find q, given that b(q) = 0.
-4, -1, 0
Determine g, given that 3/2 + 5/4*g - 1/4*g**2 = 0.
-1, 6
Let r be (2 + (-144)/75)/(30/450). Factor 0 + r*s + 3/5*s**4 - 9/5*s**2 + 0*s**3.
3*s*(s - 1)**2*(s + 2)/5
Let c(n) be the first derivative of -1 + 0*n**4 + n**2 - 1/20*n**5 + 0*n + 0*n**3. Let t(r) be the second derivative of c(r). Factor t(y).
-3*y**2
Let j be ((-2)/11 - 0) + 24/11. Let -2/3 - 2/3*d**j - 4/3*d = 0. What is d?
-1
Factor -12/11*r**2 + 6/11*r - 6/11*r**3 + 12/11.
-6*(r - 1)*(r + 1)*(r + 2)/11
Let b(u) be the first derivative of 5*u**6/42 - u**5/5 + u**4/14 + 26. What is m in b(m) = 0?
0, 2/5, 1
Factor 8/3*f**4 + 0*f**2 - 1/3*f + 0 + 2*f**3 + f**5.
f*(f + 1)**3*(3*f - 1)/3
Let m = 12 - 9. Suppose -3*f + m*t = f - 20, -t - 4 = 0. Solve -q - 1/2*q**f - 1/2 = 0 for q.
-1
Let u be 21/(-42) + (-13)/(-10). Solve 4/5*z + 4/5 - 3/5*z**2 - 1/5*z**4 - u*z**3 = 0 for z.
-2, -1, 1
Let q be 1/(-10) + 2/4. Suppose 0 - 2/5*w + q*w**2 = 0. What is w?
0, 1
Let r(u) be the second derivative of 2*u**6/5 - 11*u**5/5 + 4*u**4 - 8*u**3/3 + 19*u. Factor r(c).
4*c*(c - 2)*(c - 1)*(3*c - 2)
Let h be 12/10*60/9. Factor -b**3 + 25*b**4 - 36*b - 35*b**2 + 46*b**3 + 9*b**2 - h.
(b - 1)*(b + 2)*(5*b + 2)**2
Let w be 6*2/3 - 2. Let f(j) be the second derivative of -1/80*j**5 + w*j + 0 + 1/8*j**3 + 1/4*j**2 + 0*j**4. Suppose f(q) = 0. What is q?
-1, 2
Suppose 5*n - 4*l = -5*l + 18, -4*l - 12 = -n. Let b(d) be the first derivative of 3 - 2/3*d**3 + n*d - d**2. Let b(f) = 0. What is f?
-2, 1
Suppose 10 = 5*b - 5*l, 0 = b + l - 2. Solve -1 + 4*s**3 + 22*s - 5*s**4 - b*s**3 - 21*s - 3*s**5 + 6*s**2 = 0 for s.
-1, 1/3, 1
Let h be (-10 - (-166)/16) + 2/4. Let n(y) be the second derivative of -187/80*y**5 + h*y**6 + 1/2*y**3 - y**2 + 0 - 3*y + 13/8*y**4. Find o such that n(o) = 0.
-2/7, 2/5, 2/3, 1
Let t(i) = i**4 - i**3 + i**2. Let g(h) = -9*h**2 + 10*h**3 - 5*h**4 - 12*h**3 - 2*h - 22*h**3. Let k(d) = -g(d) + 4*t(d). Factor k(w).
w*(w + 1)**2*(9*w + 2)
Let a = 1 - -2. Factor -o**2 - o**a - o**2 - 2*o**4 - 3*o**3.
-2*o**2*(o + 1)**2
Let -50*b**2 - 32*b**2 + 6*b**4 + 3*b**5 + 58*b**2 - 12*b**3 = 0. What is b?
-2, 0, 2
Let k(f) be the third derivative of f**8/1680 - 3*f**7/350 + 4*f**6/75 - 14*f**5/75 + 2*f**4/5 - 8*f**3/15 - 2*f**2. Solve k(u) = 0.
1, 2
Let f = -156 + 1873/12. Let h(i) be the second derivative of -3*i + f*i**4 + 0*i**2 + 1/3*i**3 + 0. Factor h(a).
a*(a + 2)
Factor -45/4*r - 3/2*r**2 + 3/2 + 45/4*r**3.
3*(r - 1)*(r + 1)*(15*r - 2)/4
Let k be 8/(1/(-3 + 4)). Let w = 11 - k. Factor 0*j**2 - 2/7*j**5 + 0 - 2/7*j + 4/7*j**w + 0*j**4.
-2*j*(j - 1)**2*(j + 1)**2/7
Let -71*h**3 - 282 + 30*h**4 + 21*h**3 + 252 + 55*h - 2*h**5 - 3*h**5 = 0. Calculate h.
-1, 1, 2, 3
Suppose -24 = -11*n + 5*n. Let o(w) be the third derivative of -1/168*w**8 + 0 + 0*w**5 + 0*w**n - 1/60*w**6 + 0*w - 2/105*w**7 + 0*w**3 - 4*w**2. Factor o(x).
-2*x**3*(x + 1)**2
Suppose 7*l + l - 16 = 0. Determine m so that -3*m**l + 3/2*m**5 - 9/2*m - 3/2 + 9/2*m**4 + 3*m**3 = 0.
-1, 1
Let a = -7 - -12. Factor 3 + a*d + 3*d - 4*d - 1 + 2*d**2.
2*(d + 1)**2
Let g(x) be the second derivative of x**10/34020 + x**9/68040 + x**4/2 - 4*x. Let j(m) be the third derivative of g(m). Factor j(w).
2*w**4*(4*w + 1)/9
Let h(m) = -m**3 + 4*m**2 - 2*m - 2. Let p be h(3). Let t(b) = -b**3 - 7*b**2 + b + 1. Let q(k) = -k**2. Let j(i) = p*t(i) - 6*q(i). Factor j(n).
-(n - 1)*(n + 1)**2
Let u(i) be the third derivative of 1/420*i**7 + 1/240*i**6 + 0*i + 0*i**4 + 0*i**3 + 0*i**5 + 0 + i**2. Factor u(t).
t**3*(t + 1)/2
Suppose 5*p - 27 = 5*k + 18, 5*k = p - 29. Factor -528/5*j - 975*j**p - 960*j**3 - 456*j**2 - 48/5 - 375*j**5.
-3*(j + 1)*(5*j + 2)**4/5
Let q be ((-9)/(-1) - 9)/1. Solve q*v + 4/7*v**3 + 10/7*v**4 + 0*v**2 + 6/7*v**5 + 0 = 0 for v.
-1, -2/3, 0
Suppose 6*j = 3*j - 15. Let p(m) = -m**3 - 7*m**3 - m**3 - 5 + 0*m**3 + 5*m. Let z(x) = 5*x**3 - 3*x + 3. Let t(c) = j*z(c) - 3*p(c). Factor t(y).
2*y**3
Factor c**2 + 4*c - 24*c**4 + 2*c**2 - 4 + 23*c**4 - 2*c**3.
-(c - 1)**2*(c + 2)**2
Suppose -n - 3 = 2*n, t + 3*n + 5 = 0. Let q = 1 - t. Factor -3*i - 1 - 6*i**2 - q*i**4 - 3*i**2 - 9*i**3 + 1.
-3*i*(i + 1)**3
Let z(u) be the third derivative of u**7/120 - u**6/40 + u**5/80 + u**4/48 - 6*u**2. Factor z(r).
r*(r - 1)**2*(7*r + 2)/4
Let z(f) be the first derivative of -f**4/14 - 10*f**3/21 - 3*f**2/7 + 18*f/7 - 9. Let z(u) = 0. What is u?
-3, 1
Let d(z) = z**2 - z. Let f be d(1). Let w(a) = a**3 - 5*a**2 + 4*a. Let t be w(4). Suppose 0 + 0*o + 2/7*o**4 + t*o**3 + f*o**2 = 0. Calculate o.
0
Let w(z) be the third derivative of z**5/150 - z**4/30 - 3*z**2. What is g in w(g) = 0?
0, 2
Let v be (-4 - -3)*3/(-4). Suppose -3/4*g**2 + v*g + 3/2 = 0. What is g?
-1, 2
Suppose -3*g**2 - 6 + 2*g**2 + 4*g**2 + 4*g - g**2 = 0. What is g?
-3, 1
Let o(l) be the first derivative of -32*l**5/75 - 4*l**4/3 - 34*l**3/45 - 2*l**2/15 + 6. Factor o(a).
-2*a*(a + 2)*(4*a + 1)**2/15
Let z(c) be the first derivative of c**3/8 - 3*c**2/4 + 9*c/8 - 64. Solve z(j) = 0.
1, 3
Factor 0 + 0*w + 0*w**4 - 7/2*w**3 - 3*w**2 + 1/2*w**5.
w**2*(w - 3)*(w + 1)*(w + 2)/2
Let v be (-221)/(-195) - (-2)/(-6). What is d in 6/5*d + v + 2/5*d**2 = 0?
-2, -1
What is r in 0 - 2/3*r**3 + 2/3*r + 2/9*r**2 - 2/9*r**4 = 0?
-3, -1, 0, 1
Let b(z) be the first derivative of -z**4/6 - 16*z**3/27 + 5*z**2/9 + 4*z/3 + 19. Find q, given that b(q) = 0.
-3, -2/3, 1
Let z(g) be the second derivative of -g**6/30 - 3*g**5/20 - g**4/6 - 29*g. Factor z(a).
-a**2*(a + 1)*(a + 2)
Suppose 0*x + x = 3. Suppose 2 + i - i**2 + 1 - x = 0. What is i?
0, 1
Let a be 4/(-2 + 0 + 4). Let d(g) be the second derivative of -1/6*g**4 + g**3 + 3*g - 2*g**a + 0. Factor d(t).
-2*(t - 2)*(t - 1)
Factor -2/7*u**4 + 16/7*u + 0 + 8/7*u**2 - 4/7*u**3.
-2*u*(u - 2)*(u + 2)**2/7
Let h(k) be the second derivative of -k**6/900 - k**5/150 + 5*k**3/6 - 2*k. Let l(t) be the second derivative of h(t). Factor l(y).
-2*y*(y + 2)/5
Suppose 3*s + 0*s = 0. Let i(a) be the first derivative of 0*a + s*a**2 + 0*a**3 + 0*a**5 + 1/3*a**6 - 4 - 1/2*a**4. Find r, given that i(r) = 0.
-1, 0, 1
Suppose 36 = 5*o - 4*l, -l = l + 8. Let v(a) be the third derivative of 0*a + 0*a**5 + 0 - 1/105*a**7 + 0*a**6 + 0*a**o + 0*a**3 + a**2. Factor v(m).
-2*m**4
Solve -3*f 