 3*p**3 - 3*p**2 - 5*p - 5. Let s(v) = v**3 - v**2 - 2*v - 2. Let d(b) = 2*c(b) - 5*s(b). Factor d(g).
g**2*(g - 1)
Let p(y) = -y**2 - y - 6. Let h(x) = -2*x**2 - 7. Let q(u) = -2*h(u) + 3*p(u). What is r in q(r) = 0?
-1, 4
Let o(k) = k**2 - 13*k + 22. Let b be o(11). Let w(h) be the first derivative of b*h + h**2 - 7/2*h**4 + h**3 + 2. Find d such that w(d) = 0.
-2/7, 0, 1/2
Factor -4*n**4 + n - n**2 - n**3 + 0*n**2 + 5*n**4 + 0*n**2.
n*(n - 1)**2*(n + 1)
Let 20/7*b**2 + 2*b + 2/7 = 0. What is b?
-1/2, -1/5
Let j(s) = -10*s**3 + 24*s**2 + s - 9. Let p(b) = 2*b**3 - 4 + 10*b**2 - 2*b**3 + 2*b**2 - 5*b**3. Let n(w) = -4*j(w) + 9*p(w). What is i in n(i) = 0?
0, 2/5, 2
Let w be (0 + -1)*4/(-8). Let y = -5 + 8. Suppose -w*i**y + 1/2 - 1/2*i**2 + 1/2*i = 0. What is i?
-1, 1
Let v(u) = -6*u**3 - u**2 + 6*u - 2. Let i(h) = -5*h**3 + 5*h - 2. Let w(t) = 6*i(t) - 4*v(t). Determine b so that w(b) = 0.
-1, 2/3, 1
Let l be (-27)/(-45)*9/27. Factor l*j**2 - 3/5*j + 2/5.
(j - 2)*(j - 1)/5
Suppose -19 = 2*t + 5*x, -5*t + 5*x + 27 = -13. Let y(m) be the second derivative of 2*m + 0 + 0*m**t - 1/42*m**4 + 0*m**2. Let y(k) = 0. Calculate k.
0
Let u = -61 + 61. Let k(t) be the second derivative of u + 1/10*t**5 + 1/6*t**4 - 1/15*t**6 - 1/3*t**3 + 0*t**2 - 2*t. Solve k(y) = 0 for y.
-1, 0, 1
Solve -8/5*r + 0 + 7/5*r**4 + 38/5*r**2 - 37/5*r**3 = 0.
0, 2/7, 1, 4
Let g(i) = -i**3 + 10*i**2 + 3*i - 4. Let v(s) = 3*s**3 - 21*s**2 - 6*s + 9. Let r(h) = 9*g(h) + 4*v(h). Suppose r(q) = 0. What is q?
-1, 0
Let d(h) be the first derivative of -h**7/84 - h**6/60 + h**5/40 + h**4/24 - 3*h - 4. Let g(p) be the first derivative of d(p). Suppose g(w) = 0. Calculate w.
-1, 0, 1
Let o be 1 - 5/2 - 512/(-288). Let j(c) be the first derivative of 0*c**2 - 2 - 2/15*c**5 - 4/27*c**3 - o*c**4 + 0*c. Solve j(b) = 0 for b.
-1, -2/3, 0
Let k(t) be the third derivative of 0*t**5 + 0 + 1/180*t**6 + 3*t**2 + 1/630*t**7 - 1/18*t**3 + 0*t - 1/36*t**4. Solve k(z) = 0 for z.
-1, 1
Let q(c) be the first derivative of 7*c**4/2 - 52*c**3/3 + 13*c**2 + 12*c - 3. Factor q(f).
2*(f - 3)*(f - 1)*(7*f + 2)
Let f(j) be the first derivative of 1/30*j**4 + 2/75*j**5 - 1/15*j**2 - 2/45*j**3 - 10 + 0*j. Factor f(g).
2*g*(g - 1)*(g + 1)**2/15
Solve 0 - 1/2*n**2 + 1/2*n = 0.
0, 1
Let r(s) be the third derivative of -s**8/756 + 8*s**7/945 - s**6/54 + 2*s**5/135 + 13*s**2. Factor r(v).
-4*v**2*(v - 2)*(v - 1)**2/9
Let f(y) be the third derivative of -y**5/60 - 7*y**4/24 + y**3/3 - 3*y**2. Let s be f(-7). Factor 2*d**s + d + 2*d - d - 3*d**2.
-d*(d - 2)
Let t be (-2)/(-7) - 180/(-105). Let a(x) be the third derivative of 1/24*x**4 + 1/120*x**5 - t*x**2 + 0*x + 0 + 1/12*x**3. Suppose a(m) = 0. What is m?
-1
Factor -4/5 + 0*u**3 - 4/5*u**4 + 8/5*u**2 + 0*u.
-4*(u - 1)**2*(u + 1)**2/5
Factor 0 - 2/9*i**2 - 4/9*i + 2/9*i**3.
2*i*(i - 2)*(i + 1)/9
Let o(n) be the third derivative of n**8/16800 - n**7/3150 + n**6/1800 + n**4/8 + 3*n**2. Let p(x) be the second derivative of o(x). Factor p(m).
2*m*(m - 1)**2/5
Let p(x) be the third derivative of -x**10/75600 + x**9/6048 - x**8/1260 + x**7/630 - x**5/20 - 2*x**2. Let d(l) be the third derivative of p(l). Factor d(g).
-2*g*(g - 2)**2*(g - 1)
Let -4*o**2 + 26*o - 51*o + 4*o**4 - 4*o**3 + 29*o = 0. What is o?
-1, 0, 1
Let x(k) = -k**2 - 20*k - 25. Let d(z) = -z**2 + z + 2 + 1 + 3 - 7. Let p(g) = -2*d(g) - x(g). Determine f, given that p(f) = 0.
-3
Suppose 3*u = c + 4*c + 34, 4*u - 7 = -c. Suppose 2*d - 2 = -2*q, q + u*q - 3*d = 11. Suppose -2/9*f - 2/9*f**4 + 0 + 2/9*f**q + 2/9*f**3 = 0. Calculate f.
-1, 0, 1
Find p such that 10/11*p**2 + 0 + 2/11*p**3 + 0*p = 0.
-5, 0
Let j(y) = 2*y**2 - 4*y - 2. Let i(l) = -3*l**2 + 4*l + 2 + 0*l**2 + 2*l**2. Let s(n) = -4*i(n) - 3*j(n). Factor s(t).
-2*(t + 1)**2
Let w(x) be the second derivative of x**5/45 + x**4/27 - 4*x**3/27 - 3*x. Factor w(j).
4*j*(j - 1)*(j + 2)/9
Factor -l**3 + 8*l - 3 - l + 7 - 921*l**2 + 923*l**2.
-(l - 4)*(l + 1)**2
Let m = 342 + -2390/7. Factor 2/7*p + 0 - m*p**2 - 2/7*p**5 + 0*p**3 + 4/7*p**4.
-2*p*(p - 1)**3*(p + 1)/7
Factor 30/7*o**2 + 150/7*o + 250/7 + 2/7*o**3.
2*(o + 5)**3/7
Let a = 922/3 + -307. Factor 0 + 1/3*z**4 + 1/3*z - 1/3*z**3 - a*z**2.
z*(z - 1)**2*(z + 1)/3
Suppose 2*s - 4*s = 0. Let q(j) be the third derivative of 1/90*j**5 + 1/9*j**3 + s*j + 0 + 1/18*j**4 - j**2. Find a, given that q(a) = 0.
-1
Let a(k) be the third derivative of -1/16*k**4 + 0 - 1/2*k**3 + 5*k**2 + 1/80*k**6 + 0*k + 1/20*k**5. Factor a(t).
3*(t - 1)*(t + 1)*(t + 2)/2
Suppose 9*p - 7*p - 6 = 0. Let c(k) be the first derivative of 0*k + 0*k**2 - 2 + k**4 + k**5 + 4/15*k**p. Determine t, given that c(t) = 0.
-2/5, 0
Let j(g) = -3*g**3 + 3*g**2 + 3*g - 6. Let u(a) = -3*a**3 + 2*a**2 + 3*a - 6. Let o(y) = -4*j(y) + 3*u(y). Factor o(d).
3*(d - 2)*(d - 1)*(d + 1)
Let j = -101 + 179. Let x be 1/j - (-2)/13. Factor 0 - 1/6*n**2 + x*n.
-n*(n - 1)/6
What is c in 3/2 - 3/4*c - 3/4*c**2 = 0?
-2, 1
Let x = 1 + 3. Suppose -5 = -3*y + x. Let -v**5 - 3*v**2 + 4*v**2 - 3*v**5 - y*v**3 + 3*v**5 + 3*v**4 = 0. Calculate v.
0, 1
Let q be 1 + 3/3 - -1. Factor 15*g**2 - q + 3 + 0 + 21*g**3 - 6*g.
3*g*(g + 1)*(7*g - 2)
Let y(a) be the third derivative of -a**8/672 + a**7/210 - 5*a**2. Find w such that y(w) = 0.
0, 2
Let q(t) be the second derivative of -t**6/180 + t**5/120 - 6*t. Find i, given that q(i) = 0.
0, 1
Let d(h) be the third derivative of -h**8/8640 + h**7/945 - h**6/540 - h**5/60 - h**2. Let n(m) be the third derivative of d(m). Suppose n(p) = 0. Calculate p.
2/7, 2
Factor 0 + 3/5*r**2 + 0*r.
3*r**2/5
Suppose -4*z + 0*z = 0. Suppose 0 = -2*a - 2*c, z*a = -5*a - 4*c + 2. Factor -9 + 0*n**2 + 9*n - a*n**2 + 3 - n**2.
-3*(n - 2)*(n - 1)
Let f(s) = -80*s**3 + 270*s**2 - 540*s + 325. Let b(j) = 9*j**3 - 30*j**2 + 60*j - 36. Let r(i) = -35*b(i) - 4*f(i). Solve r(g) = 0 for g.
2
Let y = -289 - -579/2. Factor 1/2*k**2 - k + 0 + y*k**3.
k*(k - 1)*(k + 2)/2
Let q(m) be the second derivative of -3/70*m**5 + 1/21*m**4 + 3*m + 1/7*m**3 - 2/7*m**2 + 0. Let q(k) = 0. Calculate k.
-1, 2/3, 1
Let o(n) = n**2 - n - 1. Let z(c) = -c**3 - 13*c**2 - 23*c - 23. Let t(b) = -4*o(b) - z(b). Solve t(m) = 0.
-3
Let o(h) be the second derivative of -h**6/1620 - h**5/540 - h**3/6 + h. Let c(u) be the second derivative of o(u). Factor c(x).
-2*x*(x + 1)/9
Factor 116*b**3 + 5*b**5 - 126*b**3 - b + 6*b.
5*b*(b - 1)**2*(b + 1)**2
Factor 0 + 6/7*p**2 + 2/7*p**4 - 6/7*p**3 - 2/7*p.
2*p*(p - 1)**3/7
Factor -1/5*f - 1/5*f**3 + 0 - 2/5*f**2.
-f*(f + 1)**2/5
Let i(b) = -110*b**4 - 265*b**3 - 65*b**2 + 45*b. Let f(s) = -5*s**4 - 12*s**3 - 3*s**2 + 2*s. Let z(m) = 45*f(m) - 2*i(m). Find g such that z(g) = 0.
-1, 0
Let h(u) be the second derivative of -u**5/100 - u**4/30 - 4*u. Factor h(s).
-s**2*(s + 2)/5
Factor 2/7*c**4 - 2/7*c**2 - 2/7*c**3 + 2/7*c**5 + 0 + 0*c.
2*c**2*(c - 1)*(c + 1)**2/7
Factor 18/5*l**2 + 8/5 - 24/5*l.
2*(3*l - 2)**2/5
Let s be 1 + (-3 - -4) - 2. Suppose -4/9*a**2 + 2/9*a + 2/9*a**3 + s = 0. What is a?
0, 1
Suppose -3*y + 3 = 0, 2*l - 9 = -2*y - 3. Let z be ((-2)/18)/((-2)/12). Factor -z*w**l + 2/3*w**3 + 0 + 0*w.
2*w**2*(w - 1)/3
Let p(q) = -2*q**2 + 7*q + 1. Let u be p(5). Let y be 5/u*24/(-30). Suppose -y*w + 2/7*w**2 - 4/7 = 0. What is w?
-1, 2
Let s(p) be the second derivative of 33*p**5/140 - 25*p**4/42 + 19*p**3/42 - p**2/7 + 10*p. What is q in s(q) = 0?
2/11, 1/3, 1
Let d be ((-3)/(-7))/((-15)/10*-1). Factor d*u**2 + 2/7 + 4/7*u.
2*(u + 1)**2/7
Let 10/11*w**2 + 12/11*w - 2/11*w**3 + 0 = 0. What is w?
-1, 0, 6
Let p = 0 - -4. Let l(i) be the first derivative of 1/14*i**p + 0*i + 2 - 6/35*i**5 + 2/7*i**3 - 1/7*i**2. Suppose l(u) = 0. What is u?
-1, 0, 1/3, 1
Let g(i) be the third derivative of 0*i + 0 + 2*i**2 + 0*i**5 + 1/1440*i**6 - 1/96*i**4 + 1/6*i**3. Let v(r) be the first derivative of g(r). Factor v(y).
(y - 1)*(y + 1)/4
Suppose -a - 3 + 5 = 0. Let p(f) be the third derivative of 0*f + 0*f**4 + 0 - 1/245*f**7 + 0*f**3 + 1/420*f**6 - 2*f**a + 0*f**5. Find k, given that p(k) = 0.
0, 1/3
Let z(d) be the third derivative of 2*d**7/75 + d**6/5 + 43*d**5/75 + 4*d**4/5 + 8*d**3/15 - 38*d**2. Let z(c) = 0. Calculate c.
-2, -1, -2/7
Let f be 1/((-2)/3*(-3)/4). Factor -1/3*n**f - 1 + 4/3*n.
-(n - 3)*(n - 1)/3
Factor -2/7*h**2 - 2/7*h**3 + 0*h + 0.
-