*2 - y. Let z(w) = 2*o(w) + 21*u(w). Factor z(a).
-3*a*(a + 1)**3
Let u(f) be the first derivative of -2*f**5/5 + f**4/2 + 2*f**3/3 - f**2 + 4. Factor u(h).
-2*h*(h - 1)**2*(h + 1)
Let h(l) = l - 5. Let z be h(12). Factor -2*d**4 - 6*d + 2*d**2 + 3*d**4 + z*d**2 - 4*d**4.
-3*d*(d - 1)**2*(d + 2)
Let x(j) be the second derivative of j**6/2 - 23*j**5/4 + 95*j**4/6 + 80*j**3/3 - 80*j**2 - 66*j. Solve x(i) = 0 for i.
-1, 2/3, 4
Factor -3*d**3 - 3/4*d**4 - 3*d - 9/2*d**2 - 3/4.
-3*(d + 1)**4/4
Let d(f) = f**2 + 10*f - 4. Let m be d(-11). Suppose -4*a = -m*a. Find j, given that 1/4*j**3 + a*j + 0 - 1/4*j**2 = 0.
0, 1
Let f(p) be the second derivative of 5*p**4/12 + 5*p**3/3 + 50*p. Factor f(c).
5*c*(c + 2)
Let u(b) be the second derivative of b**7/189 - 4*b**6/135 + 2*b**5/45 + b**4/27 - 5*b**3/27 + 2*b**2/9 + 19*b. Factor u(m).
2*(m - 2)*(m - 1)**3*(m + 1)/9
Factor 0 + 1/5*h**2 + 0*h + 2/5*h**4 + 3/5*h**3.
h**2*(h + 1)*(2*h + 1)/5
What is c in -3*c**3 - 14*c - 3*c**2 + 2*c - 15*c - 15*c**2 = 0?
-3, 0
Let n(b) be the third derivative of b**7/490 + b**6/56 + 9*b**5/140 + b**4/8 + b**3/7 + 56*b**2. Find l such that n(l) = 0.
-2, -1
Let a(g) be the third derivative of -g**5/105 - g**4/14 - 4*g**3/21 + 5*g**2. Factor a(v).
-4*(v + 1)*(v + 2)/7
Suppose -6*k + 2*s + 46 = -k, -3*k + 2*s + 30 = 0. Let w = 11 - 7. Factor -k*n - w*n**2 + 11*n + n**2.
-3*n*(n - 1)
Let i(p) be the first derivative of 4*p**5/5 - 2*p**4 + 4*p**2 - 4*p + 4. Factor i(f).
4*(f - 1)**3*(f + 1)
Let k be 2/1 + 2 - 2. Factor k*i**4 - 4*i**4 - 6*i**2 - 6*i**3 - 2*i + 0*i.
-2*i*(i + 1)**3
Let z(f) be the second derivative of -f**4/4 + 3*f**2/2 - 3*f. Let z(w) = 0. What is w?
-1, 1
Let l = -194 + 196. Let x = -6 + 37/6. Factor -x*a + 1/6*a**l - 1/3.
(a - 2)*(a + 1)/6
Let q be (-1)/3 - (-28)/(-36). Let w = -31/36 - q. Factor 1/4 + 0*p - w*p**2.
-(p - 1)*(p + 1)/4
Let j(p) = -p**2 + 12*p - 20. Let i be j(10). What is u in 0 + 2/5*u**3 + 2/5*u**5 + 0*u - 4/5*u**4 + i*u**2 = 0?
0, 1
Let r(g) be the third derivative of -4/75*g**5 - 5/84*g**8 - 4/25*g**6 + 0*g + 0 + 0*g**4 - 6/35*g**7 + 0*g**3 - 6*g**2. Factor r(k).
-4*k**2*(k + 1)*(5*k + 2)**2/5
Suppose -5*v = -3*o - 13, 3*v + 4*o - 6 = 5*v. Let f(y) be the first derivative of 0*y - 3/14*y**4 + 2/7*y**3 - 1/7*y**2 + 2/35*y**v + 1. Factor f(m).
2*m*(m - 1)**3/7
Let x(b) be the third derivative of -b**9/181440 + b**8/60480 + b**7/7560 + b**5/12 + b**2. Let o(h) be the third derivative of x(h). Let o(i) = 0. Calculate i.
-1, 0, 2
Let h be (-15)/(-10)*4/3. Let s(k) = -2*k - 3. Let y be s(-3). Factor 0*t**h + 2/5*t**y - 2/5*t + 0.
2*t*(t - 1)*(t + 1)/5
Let s be (14/(-6) - -2)*-15. Let t(d) = d**2 - 2*d - 4. Let y be t(-3). Factor 4*z**3 + 4 + 12*z**2 - s*z + 3*z**3 + 25*z + y*z**2.
(z + 1)*(z + 2)*(7*z + 2)
Factor -2/9*r**2 + 0 - 2/9*r.
-2*r*(r + 1)/9
Suppose 0 = 5*h - 19 - 6. Suppose -4*p + 11 = -h*c, 5*p - 15 = -2*c + 7*c. Suppose 1/4*b - 1/4*b**5 + 0*b**3 - 1/2*b**p + 0 + 1/2*b**2 = 0. Calculate b.
-1, 0, 1
Let w be -2*4/(-24) + 14/48. Let k(h) be the second derivative of -21/40*h**5 + 0*h**2 - 3/20*h**6 - 1/4*h**3 + 0 - h - w*h**4. Factor k(t).
-3*t*(t + 1)**2*(3*t + 1)/2
Let a(d) be the second derivative of d**9/15120 - d**8/3360 + d**7/2520 - d**4/12 + d. Let w(g) be the third derivative of a(g). Factor w(m).
m**2*(m - 1)**2
Factor -1000*z - 10*z**3 - 1/4*z**4 - 150*z**2 - 2500.
-(z + 10)**4/4
Let w(p) = -10*p - 2. Let n be w(4). Let l be (-22)/33 + (-40)/n. Suppose 0 + 2/7*q - 4/7*q**2 + l*q**3 = 0. What is q?
0, 1
Let r(o) be the third derivative of -o**9/6048 - o**8/1260 - o**7/2520 + o**6/180 + 2*o**5/15 + 5*o**2. Let l(n) be the third derivative of r(n). Factor l(u).
-2*(u + 1)**2*(5*u - 2)
Factor -f**4 - 4*f**3 + 4*f**2 + 3*f**5 + f**5 - 3*f**4.
4*f**2*(f - 1)**2*(f + 1)
Let k(i) be the first derivative of i**6/1800 + i**3 - 3. Let b(c) be the third derivative of k(c). Suppose b(w) = 0. What is w?
0
Suppose 6*z = z. Let i(w) = w**3 + 2*w**2 - 5*w - 3. Let g be i(-3). Factor q**2 + q**3 - g*q - q**4 + 0 + z + 2*q.
-q*(q - 1)**2*(q + 1)
Let i(a) be the second derivative of 9/5*a**6 + 0 + 0*a**2 - 2/3*a**3 - 20/21*a**7 - 3/2*a**4 + 2/5*a**5 - 3*a. What is u in i(u) = 0?
-2/5, -1/4, 0, 1
Let z(u) = -3*u**3 - 19*u**2 + 47*u - 25. Let d(h) = -2*h**3 - 9*h**2 + 24*h - 13. Let r(x) = -10*d(x) + 6*z(x). Factor r(o).
2*(o - 10)*(o - 1)**2
Let m(a) = -a**2 - 20*a - 89. Let q be m(-7). Find u such that -22/3*u**q + 16/3*u - 8/9 + 14/3*u**4 - 34/9*u**3 + 2*u**5 = 0.
-2, 1/3, 1
Let a be (-120 - 5)*(3 - 2). Let w be 8/36 - a/45. Suppose -2/5*p**4 + 2/5*p**w + 0*p**2 + 0*p + 0 = 0. What is p?
0, 1
Suppose -q + 4 = -u, -4*q - u + 6 = -0*q. Let m(g) be the first derivative of 1/4*g**4 + 2/3*g**3 + 0*g - q + 1/2*g**2. What is d in m(d) = 0?
-1, 0
Determine c so that 1/3*c**3 + 4/3 + 8/3*c + 5/3*c**2 = 0.
-2, -1
Let b(o) be the first derivative of 2*o**3/3 - 2. Factor b(t).
2*t**2
Let k(v) be the second derivative of -v**4/66 - 28*v**3/33 - 196*v**2/11 - 30*v. Factor k(o).
-2*(o + 14)**2/11
Let y(k) be the second derivative of 50*k**4/27 - 20*k**3/27 + k**2/9 - 7*k. Solve y(v) = 0.
1/10
Determine s, given that -16/9*s - 11/9*s**2 + 4/9 + s**3 = 0.
-1, 2/9, 2
Let k(d) be the second derivative of -d**4/60 + d**3/30 + 2*d. Suppose k(f) = 0. What is f?
0, 1
Let t(r) = -r**4 + r**3 + r**2 + r + 1. Let n(h) = 33*h**4 - 54*h**3 - 6*h**2 - 18*h - 18. Let m(b) = n(b) + 18*t(b). Factor m(g).
3*g**2*(g - 2)*(5*g - 2)
Let u be 2 + (3 - (-5 - -7)). Determine g so that 1/4*g**u - 1/4*g**2 + 0 + 0*g = 0.
0, 1
Solve 11/2*n + 1/4*n**2 + 121/4 = 0 for n.
-11
Let v(s) be the first derivative of -4*s**3/3 + 24*s**2 - 144*s - 11. Solve v(g) = 0.
6
Let k(n) be the first derivative of 0*n**2 + 0*n - 1/2*n**4 + 1 - 16/5*n**5 + 4/3*n**3 - 5/3*n**6. Factor k(y).
-2*y**2*(y + 1)**2*(5*y - 2)
Let y(j) = -6*j**2 + 16*j + 16. Let u(s) = -s**2 + s + 1. Let d(f) = -f**3 - 2*f**2 + 4*f + 2. Let a be d(-3). Let g(x) = a*y(x) + 8*u(x). Solve g(o) = 0.
-2
Let s = 8459/1419075 + -2/8109. Let c = 2278/525 - s. Let -c*n - 31/3*n**2 - 2/3 - 4*n**4 - 32/3*n**3 = 0. What is n?
-1, -2/3, -1/2
Factor -2/9*b + 2/9*b**3 + 0*b**2 + 0.
2*b*(b - 1)*(b + 1)/9
Let a(y) be the third derivative of y**9/151200 - y**8/16800 + y**7/6300 + y**5/60 + 2*y**2. Let j(n) be the third derivative of a(n). Let j(s) = 0. What is s?
0, 1, 2
Factor 11*a + a + 6*a**2 - 1 - 2*a - 3.
2*(a + 2)*(3*a - 1)
Suppose -12/5*c**2 - 9/5*c**3 + 3/5*c + 6/5 = 0. What is c?
-1, 2/3
Let p(y) be the second derivative of -y**6/1800 - y**5/600 + y**4/60 + y**3/2 + y. Let k(c) be the second derivative of p(c). Suppose k(t) = 0. What is t?
-2, 1
Let j(n) be the third derivative of n**6/200 - n**5/300 - n**4/15 - 2*n**3/15 + 5*n**2. Solve j(l) = 0 for l.
-1, -2/3, 2
Suppose 8 = g - 0*g. Let a be (-6)/(-21)*(-1 + g). Factor -2*f + 2*f**4 - 6*f**4 + 2*f**a + 2*f**3 + 2*f**4.
-2*f*(f - 1)**2*(f + 1)
Suppose -2*x + 6*x - 16 = 0. Factor 2*v**4 + 2*v**x - 11*v - 4*v**2 + 8*v**3 + 3*v.
4*v*(v - 1)*(v + 1)*(v + 2)
Let v(q) = 6*q**3 + 6*q**2 - 2*q + 2. Let u(d) = 7*d**3 + 7*d**2 - 2*d + 3. Let m(x) = 4*u(x) - 5*v(x). Factor m(a).
-2*(a - 1)*(a + 1)**2
Let t(a) = 23*a**2 + 5*a + 13. Let m = 17 - 4. Suppose 0 = -3*n - 22 + 4. Let d(f) = 12*f**2 + 2*f + 6. Let s(x) = m*d(x) + n*t(x). Let s(z) = 0. What is z?
0, 2/9
Let p(b) be the third derivative of 0*b - 3*b**2 + 1/3*b**3 + 1/60*b**5 - 1/8*b**4 + 0. Determine d, given that p(d) = 0.
1, 2
Factor -5*z + 4*z + 2*z + 2*z**2 + 7*z**3 - 6*z**3.
z*(z + 1)**2
Let t(z) be the second derivative of z**8/1120 - z**7/112 + z**6/30 - z**5/20 + z**3/2 + z. Let m(u) be the second derivative of t(u). Let m(s) = 0. What is s?
0, 1, 2
Let t(p) = -6*p + 5*p**2 - 3 - 9 + 15*p**2. Let w(s) = -7*s**2 + 2*s + 4. Suppose z + 11 + 3 = 0. Let c(v) = z*w(v) - 5*t(v). Find x such that c(x) = 0.
-1, 2
Suppose -4*g + 5 = -15. Let w(m) be the third derivative of 0*m + 0*m**3 + 1/60*m**4 - 1/75*m**g + 1/300*m**6 + 2*m**2 + 0. Factor w(d).
2*d*(d - 1)**2/5
Let r = 39 - -10. Let m = -145/3 + r. Let 1/3*j**2 + m*j + 1/3 = 0. What is j?
-1
Let f(a) be the second derivative of 0*a**2 + 0 + 0*a**3 + 2*a - 3/10*a**6 - 1/4*a**4 - 9/20*a**5 - 1/14*a**7. Determine v so that f(v) = 0.
-1, 0
Suppose 3*c + 2*c = -210. Let k be 18/(-27) - 64/c. D