 - 1)*(y + 1)**2
Let z(c) = -c + 17. Let w be z(14). Find p such that 1/2*p**4 - p**2 + 1/2 - p**w + 1/2*p**5 + 1/2*p = 0.
-1, 1
Suppose 6*g - 3 = 3*g. Let d be g/(-2) - 1/(-2). Factor 2/3*s**3 - 2/3*s**4 + 0*s + d + 0*s**2.
-2*s**3*(s - 1)/3
Let t(a) be the third derivative of 1/6*a**3 + 0*a + 3/4*a**4 + 9/5*a**5 - a**2 + 0 + 9/5*a**6. Factor t(s).
(6*s + 1)**3
Factor 0 - 2/5*y**2 + 4/5*y.
-2*y*(y - 2)/5
Let c(g) = g**2 - 2*g - 11. Let l be c(5). Let w be (2 - 2) + l/14. Determine i, given that 0*i + w*i**3 + 0 + 2/7*i**2 = 0.
-1, 0
Let y(f) be the first derivative of -4 - 4/3*f**3 - 5/2*f**2 - 1/4*f**4 - 2*f. Factor y(b).
-(b + 1)**2*(b + 2)
Let j = -14 - -13. Let f(w) = 8*w**3 - 2*w**2 - 2*w + 2. Let h(s) = -s**3 + s**2 - 1. Let z(u) = j*f(u) - 6*h(u). Solve z(m) = 0 for m.
-2, -1, 1
Suppose 0 = u - 3*u - l + 6, -3*u = -5*l - 35. Let b(a) be the third derivative of 0 - 1/24*a**4 + 0*a**3 + 0*a + 2*a**2 - 1/60*a**u. Factor b(t).
-t*(t + 1)
Suppose 2*m + 4 = r, -3*m - 8 = -2*r - m. Let j(c) be the first derivative of -1 + 1/8*c**r + 5/4*c**2 - c - 2/3*c**3. Find p, given that j(p) = 0.
1, 2
Let h(x) be the first derivative of x**3/5 - 6*x**2/5 - 3*x - 7. Determine s, given that h(s) = 0.
-1, 5
Let i(n) be the third derivative of -n**7/630 + n**6/45 - 2*n**5/15 + n**4/3 + 4*n**2. Let u(c) be the second derivative of i(c). Factor u(g).
-4*(g - 2)**2
Let i(z) = -z**3 - 2*z**2 + 2*z - 1. Let v be i(-3). Factor -8*s**3 - 5*s**5 + v*s**5 + 11*s**3.
-3*s**3*(s - 1)*(s + 1)
Let a(j) be the first derivative of j**8/5040 + j**7/2520 - j**3/3 + 3. Let n(l) be the third derivative of a(l). Factor n(s).
s**3*(s + 1)/3
Let r = -830719/1840326 + 4/22443. Let q = 2/41 - r. What is b in 1/4*b**3 + 1/4*b**5 + 0*b - q*b**4 + 0 + 0*b**2 = 0?
0, 1
Let z(t) be the second derivative of -3*t**7/7 - 41*t**6/25 - 16*t**5/25 + 52*t**4/15 + 16*t**3/3 + 16*t**2/5 + 20*t. Find v such that z(v) = 0.
-2, -2/3, -2/5, 1
Let h = -3376/5 - -676. Let h*a + 4/5*a**3 + 0 - 8/5*a**2 = 0. What is a?
0, 1
Factor 14/5*m + 2/5*m**2 + 12/5.
2*(m + 1)*(m + 6)/5
Let z(v) be the second derivative of -v**7/126 - 2*v**6/45 - v**5/10 - v**4/9 - v**3/18 - 10*v. Suppose z(s) = 0. What is s?
-1, 0
Determine b so that 7*b**3 - 6*b**3 - 5*b**3 - 3*b**4 + 2*b**4 - 3*b**2 = 0.
-3, -1, 0
Let z(n) be the first derivative of -n**6/80 - n**5/20 - n**4/16 - n**2 + 2. Let g(s) be the second derivative of z(s). Factor g(q).
-3*q*(q + 1)**2/2
Let d(q) be the third derivative of -q**5/510 + q**4/102 - q**3/51 - 11*q**2. Determine f, given that d(f) = 0.
1
Let r(y) be the first derivative of -2*y**3/9 + 2*y**2 - 10*y/3 - 41. Find k, given that r(k) = 0.
1, 5
Let v = 1205 - 3611/3. Factor v + 8/3*g**2 - 6*g.
2*(g - 2)*(4*g - 1)/3
Let a = -3 + 6. Factor 4*z - 3*z**2 - 4*z**a + 2*z + 2*z**3 + 3 - 4*z**3.
-3*(z - 1)*(z + 1)*(2*z + 1)
Let n(o) be the third derivative of -o**5/270 + 5*o**4/108 - 4*o**3/27 - 7*o**2. Factor n(c).
-2*(c - 4)*(c - 1)/9
Let h be 1 + (-1 + -1)/(-2). Factor -2*g**3 + g**3 - 50*g**2 - 2*g + 53*g**h.
-g*(g - 2)*(g - 1)
Let p(j) = -4*j + 9. Let h(s) = -s + 1. Let t(f) = -3*h(f) + p(f). Let d be t(6). Factor d*k - 2/7 + 2/7*k**2.
2*(k - 1)*(k + 1)/7
Let d(a) be the third derivative of -a**8/4200 - a**7/2100 - 2*a**3/3 - a**2. Let c(k) be the first derivative of d(k). Determine g so that c(g) = 0.
-1, 0
Let c(m) = -1 + 2 - 2 - m**2. Let n(d) = -2*d**3 + 7 - 3 + 2*d + 4 + 12*d**2. Let p(z) = -10*c(z) - n(z). Factor p(g).
2*(g - 1)**2*(g + 1)
Let p(w) be the first derivative of 4*w**5 + 10*w**4 + 25*w**3/3 + 5*w**2/2 + 4. Factor p(q).
5*q*(q + 1)*(2*q + 1)**2
Let s(v) be the second derivative of 0*v**4 + 3*v - 1/135*v**6 - 2/27*v**3 + 0 + 1/9*v**2 + 1/45*v**5. Factor s(r).
-2*(r - 1)**3*(r + 1)/9
Let h(t) be the first derivative of -2*t**3/9 + 2*t**2/3 - 2*t/3 - 57. Let h(g) = 0. What is g?
1
Factor 1/2 + 0*i**2 - i - 1/2*i**4 + i**3.
-(i - 1)**3*(i + 1)/2
Let y(s) be the second derivative of -5*s**7/21 + 17*s**6/6 - 39*s**5/4 + 10*s**4/3 + 40*s**3/3 + 29*s. What is d in y(d) = 0?
-1/2, 0, 1, 4
Let g = 24 - 71/3. Find i, given that -1/3*i + 0 - g*i**2 = 0.
-1, 0
Let y(o) = -6*o**4 - 6*o**3 - 17*o**2 - 5*o - 3. Let h(b) = -b**4 - b**2 + b. Let a(z) = -15*h(z) + 3*y(z). Determine s, given that a(s) = 0.
-3, -1
Let h(o) be the first derivative of 18*o**5/5 + 48*o**4 + 572*o**3/3 + 160*o**2 + 50*o + 11. Factor h(u).
2*(u + 5)**2*(3*u + 1)**2
Let g(p) = -6*p**3 + 9*p**2 - 32*p + 32. Let d(k) = 7*k**3 - 9*k**2 + 33*k - 33. Let o(z) = 5*d(z) + 6*g(z). Factor o(r).
-(r - 3)**3
Let k = 3/77 + -575/924. Let s = k + 5/4. Find v such that -s*v - 2/3 + 2/3*v**2 + 2/3*v**3 = 0.
-1, 1
Let d(n) = n**2 - n - 2. Suppose -3*m + 2*j = 33, 2*j - 21 = m - 2*j. Let r(w) = 4*w**2 - 5*w - 9. Let f(c) = m*d(c) + 2*r(c). Factor f(u).
-u*(u + 1)
Suppose 2*k = 5 + 3. Let c = 4 - k. Suppose 1 + 3*g**2 + c - 3*g - 1 = 0. What is g?
0, 1
Let m(a) be the second derivative of a**5/30 - a**4/4 + 2*a**3/3 + a**2/2 + 3*a. Let g(h) be the first derivative of m(h). Suppose g(b) = 0. What is b?
1, 2
Let k(u) be the second derivative of -2*u + 0*u**3 + 0 + 1/6*u**2 + 0*u**5 + 1/90*u**6 - 1/18*u**4. Suppose k(t) = 0. What is t?
-1, 1
Let b(s) be the first derivative of -s**6/12 + s**5/5 - s**4/8 + 2. Solve b(d) = 0 for d.
0, 1
Let z(r) be the second derivative of -r**4/20 + 3*r**3/10 + 6*r**2/5 + 19*r. Factor z(f).
-3*(f - 4)*(f + 1)/5
Factor -4/3 - 8/3*v**2 + 2/3*v**3 + 10/3*v.
2*(v - 2)*(v - 1)**2/3
Let c = -4 + 8. Find a such that -5 + 5 + 2*a**2 + c*a = 0.
-2, 0
Let c(h) be the first derivative of h**5/5 + h**4/4 + 4. Factor c(m).
m**3*(m + 1)
Let t be -1 - 3/3*-3. Let f be (3/t)/((-105)/(-28)). Factor -f*u**4 + 2/5*u**2 + 2/5*u**3 + 0 - 2/5*u.
-2*u*(u - 1)**2*(u + 1)/5
Let p(t) = -t**2 - 7*t + 8. Let b be p(-8). Factor b*x + x**3 + 3 - 4 - 3*x**2 + 3*x.
(x - 1)**3
Let q = 4/131 - -758/917. Suppose -2*o = 5*z + 34 - 14, 20 = 4*o - 5*z. Determine v so that 2/7*v**2 + o - 2/7*v**5 + 6/7*v**4 + 0*v - q*v**3 = 0.
0, 1
Let g(o) = -15*o**2 + 53*o - 8. Let c(f) = 10*f**2 - 35*f + 5. Let t(s) = 8*c(s) + 5*g(s). Factor t(n).
5*n*(n - 3)
Let d = -94 + 98. Let s(m) be the third derivative of 1/180*m**5 + 0 + 0*m**3 - 2*m**2 + 0*m - 1/72*m**d. Factor s(r).
r*(r - 1)/3
Let r(s) be the second derivative of -s**7/147 - 2*s**6/105 + s**4/21 + s**3/21 - 8*s. Factor r(q).
-2*q*(q - 1)*(q + 1)**3/7
Let j = 10/69 - -95/138. Factor 1/3 - 1/2*t - j*t**2.
-(t + 1)*(5*t - 2)/6
Let m = 221 - 1102/5. Let 0 + 24/5*y**2 + m*y**4 + 3*y**3 + 12/5*y = 0. What is y?
-2, -1, 0
Let h(p) be the third derivative of -p**6/24 + 5*p**5/12 - 5*p**4/3 + 10*p**3/3 + 14*p**2. Factor h(g).
-5*(g - 2)**2*(g - 1)
Let j = -157 + 4393/28. Let b = j + 145/308. Factor 2/11*g**2 + 0 + b*g.
2*g*(g + 2)/11
Factor 2*i**3 - i**2 + 195*i - 125*i - 98 + 27*i**2.
2*(i - 1)*(i + 7)**2
Let a(q) be the third derivative of q**6/120 - q**5/30 + q**4/24 + 2*q**2. Factor a(r).
r*(r - 1)**2
Let v(x) be the third derivative of 2*x**7/105 - x**6/30 + 9*x**2. Factor v(w).
4*w**3*(w - 1)
Let r = 5 - 3. Factor f**4 + 0*f**2 + f**r + 0*f**2 + 2*f**3.
f**2*(f + 1)**2
Let t(k) be the first derivative of k**6/14 - 3*k**5/35 - 3*k**4/28 + k**3/7 - 4. Solve t(w) = 0.
-1, 0, 1
Factor 2/3 + 13/6*w + 1/2*w**2.
(w + 4)*(3*w + 1)/6
Let x be 30/(-12)*36/(-10). Let z(r) = 2*r**2 - 18*r + 2. Let y be z(x). Determine b so that -22/3*b**y - 44/9*b**3 - 40/9*b - 10/9*b**4 - 8/9 = 0.
-2, -1, -2/5
Let b(u) = 2*u**2 + 3*u - 6. Let g(c) = -6*c**2 - 9*c + 17. Let o(p) = 11*b(p) + 4*g(p). Let f(q) = q**2 + 4*q - 3. Let a(s) = 2*f(s) + 3*o(s). Solve a(m) = 0.
-1/4, 0
Let j = 89/4 + -22. Let y be (4 + -6)*((-21)/(-12) - 2). Let j*p**2 - y - 1/4*p = 0. What is p?
-1, 2
Let j(r) be the third derivative of r**7/105 - r**6/15 - 20*r**2. Factor j(b).
2*b**3*(b - 4)
Factor 3/5*x**4 + 3 - 12/5*x - 18/5*x**2 + 12/5*x**3.
3*(x - 1)**2*(x + 1)*(x + 5)/5
Let t(w) = 16*w - 1. Let u be t(1). Let j = -11 + u. Factor 6*c**3 + 4*c**2 - c + 2*c**2 + 3*c + 2*c**j.
2*c*(c + 1)**3
Factor -9/8*r**2 + 0*r**3 + 0 + 3/4*r + 3/8*r**4.
3*r*(r - 1)**2*(r + 2)/8
Let b(m) be the first derivative of 2*m**5/45 + 5*m**4/36 + 2*m**3/27 + 25. Factor b(j).
j**2*(j + 2)*(2*j + 1)/9
Let x(p) be the first derivative of -1/24*p**4 + 1/40*p**5 + 1 + 0*p**3 - p 