1)*(z + 2)*(5*z - 2)**2
Let y(u) be the third derivative of -u**6/240 - 13*u**5/120 - 53*u**2. Factor y(a).
-a**2*(a + 13)/2
Suppose -w**4 - 2*w**3 + 0*w**3 - 2*w**4 + 3*w**3 = 0. Calculate w.
0, 1/3
Let r be (-24)/(-60)*5/3. Determine n, given that r*n**2 - 2/3*n + 0 = 0.
0, 1
Let x = 312/467 - 2/1401. Suppose -4/9 - 2/9*m**2 - x*m = 0. What is m?
-2, -1
Factor 0*n**2 + 0 + 0*n - 1/5*n**3 - 1/10*n**4 + 1/10*n**5.
n**3*(n - 2)*(n + 1)/10
Let p(u) be the first derivative of 28*u**3/3 + 94*u**2 - 56*u - 12. Factor p(g).
4*(g + 7)*(7*g - 2)
Let w(k) = -5*k - 5. Let d be w(-1). What is p in 1/5*p + 0*p**4 + d*p**2 + 0 - 2/5*p**3 + 1/5*p**5 = 0?
-1, 0, 1
Let y = -5 - -10. Suppose -y*w = -39 - 46. Factor 6 + 12*p**2 + w*p**2 - 8*p**2 + 40*p - 13*p.
3*(p + 1)*(7*p + 2)
Suppose 4*z - z = 15, -3*z = -4*q - 15. Suppose q*g - g = -3*y + 7, -4*g = -3*y - 8. Solve 5/2*i + 5*i**2 + 5/2*i**y + 5*i**3 + 1/2 + 1/2*i**5 = 0.
-1
Let o be 204/(-66) - -2*2. Find u such that 4/11 + 6/11*u**3 - 14/11*u**2 - 6/11*u + o*u**4 = 0.
-1, 2/5, 1
Let t(r) be the second derivative of -r**7/21 + r**6/5 - 3*r**5/10 + r**4/6 - 6*r. Solve t(j) = 0 for j.
0, 1
Factor -30*v**3 - 6*v**5 - 3*v + 20*v**4 + v**5 + 20*v**2 + 0*v**5 - 2*v.
-5*v*(v - 1)**4
Let x(i) be the first derivative of 0*i + i**3 - 1 + 3/4*i**4 + 0*i**2. Factor x(g).
3*g**2*(g + 1)
Factor 0 + 0*a - 1/4*a**2 - 1/4*a**3.
-a**2*(a + 1)/4
Let w be 10/15*(-3)/(-10)*1. Factor -w + 1/5*y**2 + 0*y.
(y - 1)*(y + 1)/5
Find r, given that -4*r**3 + 0*r**2 - 2 + 2*r**2 - 7*r + 11*r**3 + 0*r**2 = 0.
-1, -2/7, 1
Factor -2/3*n**2 - 4/3*n + 0.
-2*n*(n + 2)/3
Let b(d) be the second derivative of 0 - 4*d - 1/10*d**5 + 1/30*d**6 + 1/12*d**4 + 0*d**3 + 0*d**2. Suppose b(s) = 0. Calculate s.
0, 1
Let p be (134/16)/1*-2. Let x = -16 - p. Factor 3/4*s**4 + x - 3*s**3 + 9/2*s**2 - 3*s.
3*(s - 1)**4/4
Let u(h) be the second derivative of h**7/63 + h**6/45 + 3*h. Factor u(v).
2*v**4*(v + 1)/3
Let k = -61 - -65. Let m(b) be the third derivative of 0*b**3 + 0*b**k - 1/20*b**6 + 3*b**2 + 0 + 1/21*b**7 + 0*b - 1/15*b**5. Factor m(i).
2*i**2*(i - 1)*(5*i + 2)
Let m(o) be the third derivative of -5*o**2 - 1/60*o**4 - 1/75*o**6 + 0*o + 0*o**3 + 0 - 2/75*o**5. What is u in m(u) = 0?
-1/2, 0
Let g(d) = -d + 9. Let a be g(9). Let r(l) be the second derivative of 0*l**3 + 2*l - 1/15*l**6 + 1/10*l**5 - 1/18*l**4 + a + 0*l**2 + 1/63*l**7. Factor r(b).
2*b**2*(b - 1)**3/3
Let o = -8819/90 - -98. Let m(c) be the third derivative of 0 - o*c**5 + 0*c**3 + 0*c - 1/180*c**6 + 0*c**4 + c**2. Factor m(p).
-2*p**2*(p + 1)/3
Let o = -8 - -10. Find r, given that 13*r**2 - 9*r**2 - o*r - 1 - 5*r**2 = 0.
-1
Solve -40/3*w + 0*w**3 - 10*w**2 - 5 + 5/3*w**4 = 0 for w.
-1, 3
Suppose 9*l - 24*l = -30. Factor 4/3 + 2*y**l + 10/3*y.
2*(y + 1)*(3*y + 2)/3
Let z be (-66)/18 - (-7 + 6 - 4). Let -z*n + 0 - 10/3*n**2 - 8/3*n**3 - 2/3*n**4 = 0. What is n?
-2, -1, 0
Let l(s) be the first derivative of s**3/15 + 3*s**2/5 + 9*s/5 - 5. Suppose l(g) = 0. What is g?
-3
Suppose -3*q = 285 - 78. Let d = q - -763/11. Let d*o + 2/11 + 2/11*o**2 = 0. What is o?
-1
Suppose 4*x + 5*s - 23 = 0, -3*s + 0 = -x - 7. Let r(y) be the first derivative of x - 2*y**2 + 2/3*y**3 + 0*y. Let r(d) = 0. What is d?
0, 2
Factor 2/5*b**2 + 1/5*b**3 - 1/5*b - 2/5.
(b - 1)*(b + 1)*(b + 2)/5
Let h(o) be the third derivative of -o**8/4704 + o**7/4410 + o**4/12 - 2*o**2. Let a(s) be the second derivative of h(s). Suppose a(f) = 0. What is f?
0, 2/5
Let f be (4 - 321/81)*3. Let o(l) be the second derivative of -f*l**3 - 1/6*l**4 + l + 0*l**2 + 0. Solve o(u) = 0 for u.
-1/3, 0
Factor -64*i + 3*i**4 + 3*i**3 + 64*i.
3*i**3*(i + 1)
Suppose 6*h = -0 + 24. Let r(q) be the first derivative of -2*q - 2*q**2 + 2/5*q**5 + q**h - 3 + 0*q**3. Factor r(p).
2*(p - 1)*(p + 1)**3
Let l = -45/2 + 139/6. Find d such that -l*d + 2/3*d**3 + 1/3 - 1/3*d**2 = 0.
-1, 1/2, 1
Factor -1 + 0*t - 8*t - 19*t**2 - 7*t**3 + 5.
-(t + 1)*(t + 2)*(7*t - 2)
Factor 0 - 2/11*z - 4/11*z**2 - 2/11*z**3.
-2*z*(z + 1)**2/11
Let k be ((-4)/(-6))/(1/6). Suppose -k*w = m - 15, -5*w + 13 = 2*m - 8. Factor 2*t**3 - 4 + m*t**3 + 3*t**2 - 6*t**3.
-(t - 2)**2*(t + 1)
Suppose -1094 = 8*k - 1110. Factor -16/7*w**3 + 4/7*w**4 + 0*w**k + 0*w + 0.
4*w**3*(w - 4)/7
Suppose -6 = 5*b - 16. Factor -6*r**b - 3*r**3 + r**4 - 2*r + r**2 + 2*r**5 - r**5.
r*(r - 2)*(r + 1)**3
Let l(b) be the second derivative of b**8/336 + b**7/210 - b**6/120 - b**5/60 + 3*b**2/2 + 3*b. Let v(z) be the first derivative of l(z). Solve v(w) = 0.
-1, 0, 1
Let b(k) = 7*k**2. Let o = -5 - 0. Let c(g) = g**2. Let w(d) = o*c(d) + b(d). Determine p, given that w(p) = 0.
0
Let r(o) be the second derivative of -1/8*o**2 - 1/48*o**4 - 1/12*o**3 + 0 + 3*o. What is w in r(w) = 0?
-1
Let a(n) be the first derivative of 0*n + 0*n**2 + 2 - 1/60*n**5 + 1/3*n**3 - 1/360*n**6 + 0*n**4. Let k(m) be the third derivative of a(m). Factor k(c).
-c*(c + 2)
Let c(w) = 8*w**4 - 20*w**3 + 4*w**2 + 13*w. Let p(n) = -8*n**4 + 20*n**3 - 4*n**2 - 14*n. Let d(a) = -6*c(a) - 5*p(a). Factor d(s).
-4*s*(s - 2)*(s - 1)*(2*s + 1)
Suppose -2*g - 2*l = 0, -l = 3*g - 5*l - 21. Let b(p) be the second derivative of 1/12*p**4 - 1/2*p**2 - 1/20*p**5 + g*p + 0 + 1/6*p**3. Factor b(f).
-(f - 1)**2*(f + 1)
Suppose 5*j - 1 - 4 = 5*n, 0 = 2*j - 5*n + 4. What is d in 4 + j*d**2 - 2*d**2 + 2*d - 5*d**2 - 2*d**3 = 0?
-2, -1, 1
Let p(w) = w**3 + 10*w**2 + 21*w + 4. Let j be p(-7). Factor -3*z + 9/4*z**3 + 0 - 3/4*z**5 - 3/2*z**j + 3*z**2.
-3*z*(z - 1)**2*(z + 2)**2/4
Let s = 458 - 891/2. Let f(d) be the second derivative of 25/4*d**5 + 3*d + 4*d**2 + s*d**4 + 0 + 10*d**3. Factor f(l).
(5*l + 2)**3
Let v be (-7)/49*-49 - (-20)/(-3). Find w such that -v*w**3 + 2/3 + 1/3*w - 2/3*w**2 = 0.
-2, -1, 1
Suppose -d - 2*g = 1 + 1, 0 = -4*d + 5*g + 18. Let m(t) be the second derivative of 0*t**d - 2*t + 1/54*t**4 + 2/27*t**3 + 0. Factor m(c).
2*c*(c + 2)/9
Let w(x) be the third derivative of -x**7/315 - x**6/180 + x**5/30 + x**4/36 - 2*x**3/9 + 13*x**2. Let w(z) = 0. What is z?
-2, -1, 1
Let m(y) be the second derivative of -3*y**4/20 + y**3/2 + 3*y**2/5 + 15*y. Suppose m(i) = 0. What is i?
-1/3, 2
Find y, given that 20/7*y - 2/7*y**2 - 50/7 = 0.
5
Suppose -4*r + 19 = -z, 0 = -3*z - 0*z + 15. Let a(j) = 8*j**4 - 5*j**3 - 7*j**2. Let w(i) = -7*i**4 + 4*i**3 + 6*i**2. Let d(l) = r*a(l) + 7*w(l). Factor d(n).
-n**3*(n + 2)
Let f(n) be the second derivative of -n**8/1680 - n**7/840 - n**3/6 - 2*n. Let x(q) be the second derivative of f(q). Factor x(y).
-y**3*(y + 1)
Let d(q) = -q**3 - q**2 - q. Let m(b) be the third derivative of b**6/40 + b**5/12 + b**4/4 - 2*b**2. Let j(i) = 4*d(i) + m(i). Find l, given that j(l) = 0.
-1, 0, 2
Suppose g - 45 = -14*g. Let x(f) be the first derivative of 2 + 2*f**3 + g*f**2 + 1/2*f**4 + 2*f. Determine a so that x(a) = 0.
-1
Suppose 0 = 5*f - 3*q + 69, 0*f - q + 28 = -2*f. Let s be (-3)/18*f/5. Factor -s*m + 1/4*m**2 + 1/4.
(m - 1)**2/4
Let h be 1293/(-5076) - (-3)/12. Let i = h - -1277/1692. Suppose 3/4*s**2 + 1/4*s**4 - 1/4*s + 0 - i*s**3 = 0. What is s?
0, 1
Let p(m) = -4*m**3 - 8*m**2 + 10*m + 2. Let w(d) = -d**3 - d**2 + d + 1. Let l(i) = -2*p(i) + 4*w(i). Factor l(n).
4*n*(n - 1)*(n + 4)
Let a(w) be the first derivative of -5*w**5/4 + 5*w**4/3 - 2*w**3/3 - 2*w - 5. Let u(t) be the first derivative of a(t). Suppose u(j) = 0. What is j?
0, 2/5
Suppose -1 = 2*g - 5. Factor -2/7*n**3 + 2/7*n + 2/7 - 2/7*n**g.
-2*(n - 1)*(n + 1)**2/7
Let w(g) be the second derivative of -1/12*g**4 + 0 - 7/30*g**3 - 1/5*g**2 - 3*g. Factor w(b).
-(b + 1)*(5*b + 2)/5
Let w be 5 - (-1 + 1 + 0). Let s be (2 - 3)/(1*10/(-4)). Factor -12/5*k**3 - s*k**w - 8/5*k**4 + 0 - 8/5*k**2 - 2/5*k.
-2*k*(k + 1)**4/5
Let l(w) be the third derivative of -3*w**8/224 + w**7/70 + 3*w**6/80 - w**5/20 + 5*w**2. Suppose l(m) = 0. What is m?
-1, 0, 2/3, 1
Let p(b) be the second derivative of -b**7/3780 + b**6/360 + b**4/6 - 4*b. Let d(i) be the third derivative of p(i). Factor d(g).
-2*g*(g - 3)/3
Let p(u) be the third derivative of u**9/22680 - u**7/1890 + u**5/180 - u**4/24 + 4*u**2. Let r(x) be the second derivative of p(x). Let r(l) = 0. What is l?
-1, 1
Let l(d) be the second derivative of d + 1/24*d**4 - 1/2*d**2 + 1/120*d**5 + 1/12*d**3 + 0. Let b(q) be the 