 + 16/9 + 50/9*y**5 = 0.
-2, -1, 2/5
Let m(o) be the second derivative of o**5/20 - o**4/4 + o**3/3 + o. Factor m(r).
r*(r - 2)*(r - 1)
Let m(w) be the third derivative of -w**8/112 + w**7/70 + 3*w**6/40 - w**5/4 + w**4/4 + 8*w**2. Factor m(o).
-3*o*(o - 1)**3*(o + 2)
Let k(a) be the second derivative of 0 + 10/9*a**6 - 5*a + 0*a**2 - 11/12*a**5 - 1/9*a**4 + 2/9*a**3. Factor k(c).
c*(4*c + 1)*(5*c - 2)**2/3
Let z(h) = h + 6. Let r be z(8). Find t, given that -1 - 2 + 2*t - r*t**2 + 7 - 12*t = 0.
-1, 2/7
Let h = 9 + -6. Determine b, given that b**h - b**4 + 0*b**3 - 4*b**4 + 4*b**4 = 0.
0, 1
Let x(z) = -6*z**4 + 4*z**3 + 6*z**2 + 3*z + 7. Let t(i) = 5*i**4 - 4*i**3 - 5*i**2 - 2*i - 6. Let u(n) = -7*t(n) - 6*x(n). What is f in u(f) = 0?
-4, -1, 0, 1
Factor -32 + 32 - 3*s**4 + 3*s**3.
-3*s**3*(s - 1)
Let o(s) be the first derivative of 3 + 0*s + 1/3*s**6 - 2/3*s**3 - 1/2*s**4 + 0*s**2 + 2/5*s**5. Let o(p) = 0. What is p?
-1, 0, 1
Let y(t) = -t**2 + 11*t - 6. Let u be y(9). Suppose -s - s + u = 0. Determine c, given that 0 - s*c**3 + 4/3*c**2 + 0*c + 14/3*c**4 = 0.
0, 2/7, 1
Let x be (855/(-81) - -9) + (-6)/(-3). Factor -2/9*j + 0 - 2/9*j**3 - x*j**2.
-2*j*(j + 1)**2/9
Let q(g) be the second derivative of -g**6/5 + g**5/10 + 7*g**4/3 - 4*g**3/3 - 8*g**2 + 19*g. Suppose q(l) = 0. What is l?
-2, -2/3, 1, 2
Find r, given that 0 + 2*r**5 - 2/3*r**3 - 4/3*r + 10/3*r**4 - 10/3*r**2 = 0.
-1, -2/3, 0, 1
Let w(y) = y - 3. Let c be w(6). Let b = 128 + -638/5. Determine a, given that 0 + 0*a**2 - 2/5*a**4 - b*a**c + 0*a = 0.
-1, 0
Let j be 3/3 + (-2)/3. Let b be (-22)/(-8) + 3/(-4). Solve 2/3 - j*l**b - 1/3*l = 0.
-2, 1
Let d(p) be the third derivative of -5*p**8/336 - 2*p**7/21 - p**6/8 + p**5/3 + 5*p**4/6 - 11*p**2. Suppose d(w) = 0. Calculate w.
-2, -1, 0, 1
Let p(r) = -13*r**3 + 20*r**2 - 9*r - 6. Let s(z) = -14*z**3 + 21*z**2 - 10*z - 7. Let i(q) = 5*p(q) - 4*s(q). Find x, given that i(x) = 0.
-2/9, 1
Let a(v) be the third derivative of -v**7/105 + v**6/30 + v**5/30 - v**4/6 + 7*v**2. Factor a(w).
-2*w*(w - 2)*(w - 1)*(w + 1)
Let v(j) be the third derivative of j**6/120 + j**5/30 - 5*j**2. Factor v(d).
d**2*(d + 2)
Let s(t) be the third derivative of -t**5/15 + 3*t**4/2 - 16*t**3/3 - 34*t**2. Suppose s(r) = 0. What is r?
1, 8
Find m such that -2/5*m**3 + 0 + 8/5*m - 1/5*m**4 + 4/5*m**2 = 0.
-2, 0, 2
Let y(b) be the third derivative of 0*b**4 - 1/390*b**5 + 0 + 0*b**3 + 2*b**2 + 0*b. Suppose y(r) = 0. What is r?
0
Let r(u) be the first derivative of -1/7*u**2 - 2 + 0*u - 2/21*u**3. Factor r(i).
-2*i*(i + 1)/7
Let g be (1/(-5))/((-14)/210). Find y, given that -3*y**g + 3*y**3 + 12*y**4 - 4*y**2 + 0*y**4 + 8*y**5 = 0.
-1, 0, 1/2
Let s(a) be the second derivative of 1/6*a**3 - 1/42*a**7 - 1/6*a**4 + 1/15*a**6 + 0*a**2 + 0 - 3*a + 0*a**5. Factor s(u).
-u*(u - 1)**3*(u + 1)
Let d = 12/67 + -317/2144. Let r(m) be the third derivative of m**2 - 1/80*m**5 + 0 - 1/24*m**3 + 1/480*m**6 + 0*m + d*m**4. Factor r(u).
(u - 1)**3/4
Let d = 1 + 1. Let c be (-1 + -1 + 3)/3. Factor -t - c*t**d - 2/3.
-(t + 1)*(t + 2)/3
Let k(z) be the third derivative of -z**6/60 - z**5/15 + 2*z**4/3 - 53*z**2 - 2*z. What is u in k(u) = 0?
-4, 0, 2
Suppose 3*k = -3*n - 15, -9 = 3*n + 2*k + 3*k. Let c be (n/(-5))/(-4)*-10. Let 4*q**5 - 11*q**c + 1/2*q + 21/2*q**3 + 0 - 4*q**2 = 0. What is q?
0, 1/4, 1/2, 1
Solve 20 - 25 + 2*c**2 - 39 - 40*c + 2*c**2 = 0 for c.
-1, 11
Let q(z) be the second derivative of z**7/1260 - z**6/540 + 5*z**3/6 + 2*z. Let u(d) be the second derivative of q(d). Factor u(g).
2*g**2*(g - 1)/3
Suppose 0 = 5*k + 4*i - 15, -4*i = i. Suppose 4*n - 9 = -2*x + k*x, -2*x - 10 = -4*n. Suppose 4*p - 2*p**n - 4*p = 0. Calculate p.
0
Let o(c) be the first derivative of -c**8/1680 - c**7/3360 + c**6/360 + c**5/480 + c**3/3 - 4. Let p(l) be the third derivative of o(l). Factor p(i).
-i*(i - 1)*(i + 1)*(4*i + 1)/4
Let j(c) be the third derivative of c**5/330 - c**4/66 + 7*c**2. What is q in j(q) = 0?
0, 2
Factor r**5 + 2*r**2 - 2*r**4 + 2*r**3 - 2*r**5 + 2*r**5 - 3*r**5.
-2*r**2*(r - 1)*(r + 1)**2
Let h be (12/(-18))/((-35)/15). Factor -h*c**2 - 18/7 + 12/7*c.
-2*(c - 3)**2/7
Suppose -12 = -y - y. Let l(f) = -9*f**2 - 13*f - 13. Let h(v) = -4*v**2 - 6*v - 6. Let x(c) = y*l(c) - 13*h(c). Find g, given that x(g) = 0.
0
Suppose -5*a - 2*d = -22, d + 24 = 5*a + 5*d. Solve -69*w**3 - w**2 + w + 70*w**3 + w**a - 2*w = 0.
-1, 0, 1
What is d in -5*d + 3*d + 52*d + 8 + 18*d**3 + 84*d**2 = 0?
-4, -1/3
What is o in 32*o**5 + 6*o**3 - 12*o**5 + 16*o**3 - 38*o**4 + 0*o**2 - 4*o**2 = 0?
0, 2/5, 1/2, 1
Let k(d) be the first derivative of -d**5/5 - 2*d**4 - 8*d**3 - 16*d**2 - 16*d + 5. Solve k(h) = 0.
-2
Suppose 6 = 2*z - 0*z - r, -3*r = 4*z - 12. Let j(o) be the second derivative of 0 + 0*o**z - o + 1/6*o**4 - 1/10*o**5 + 0*o**2. Factor j(l).
-2*l**2*(l - 1)
Let z(k) be the first derivative of k + k**2 + 1/3*k**3 - 3. Let z(b) = 0. Calculate b.
-1
Let z(i) be the second derivative of -i**8/10080 - i**7/3024 - i**6/4320 + i**4/4 + 5*i. Let w(d) be the third derivative of z(d). Solve w(y) = 0 for y.
-1, -1/4, 0
Let x be (96/(-36))/((-4)/6). Let b(g) be the second derivative of 1/15*g**5 - 4/9*g**3 + 1/45*g**6 + 4/3*g**2 + 0 + g - 1/6*g**x. Find o such that b(o) = 0.
-2, 1
Let z(r) = r**3 + 1. Let l be z(1). Let j be 1/(-2)*6*-1. Factor -j*w**3 + 3*w**3 - l*w + 2*w**3.
2*w*(w - 1)*(w + 1)
Let t(g) be the third derivative of -g**8/33600 + g**6/3600 - g**4/8 + 5*g**2. Let f(u) be the second derivative of t(u). Solve f(b) = 0.
-1, 0, 1
Let c(m) = -m**2 - 11*m - 10. Let y be c(-7). Let z = 21 - y. Factor 0 + 0*w + 18/13*w**z - 14/13*w**4 - 4/13*w**2.
-2*w**2*(w - 1)*(7*w - 2)/13
Let w(v) be the first derivative of -3/2*v**2 + 3 - 1/2*v**3 - 3/2*v. Factor w(s).
-3*(s + 1)**2/2
Factor -2/13*p**3 + 0*p + 0 + 2/13*p**5 + 2/13*p**2 - 2/13*p**4.
2*p**2*(p - 1)**2*(p + 1)/13
Let z = -24 - -27. Let a be 3/24*4*z. Suppose q**3 - 1/2*q**4 - 2 + a*q**2 - 2*q = 0. What is q?
-1, 2
Let n be 101/65 - (-2)/(-13). Let q = -6/5 + n. Suppose 3/5*v**2 + q*v + 0 + 3/5*v**3 + 1/5*v**4 = 0. Calculate v.
-1, 0
Find r such that 0 - 4/3*r**2 + 1/3*r**4 - 4/3*r + 1/3*r**3 = 0.
-2, -1, 0, 2
Let i(j) be the first derivative of j**9/6048 - j**7/840 + j**5/240 + j**3 + 3. Let m(g) be the third derivative of i(g). Factor m(q).
q*(q - 1)**2*(q + 1)**2/2
Let q(a) = -2*a - 6. Let r(z) = -z - 3. Let i(p) = -6*q(p) + 10*r(p). Let w be i(-3). Factor -7/5*u**4 - 4/5*u**3 + w + 4/5*u**2 - 2/5*u**5 + 0*u.
-u**2*(u + 2)**2*(2*u - 1)/5
Let y(n) be the third derivative of -1/6*n**4 + 2*n**2 + 1/30*n**5 + 0*n**3 + 0*n + 1/60*n**6 + 0. Suppose y(p) = 0. What is p?
-2, 0, 1
Suppose -3*p + 26*l = 28*l - 18, 4*p + 3*l - 24 = 0. Solve 3/2*m**2 + 6*m + p = 0.
-2
Factor -20/3*y + 2*y**2 + 2.
2*(y - 3)*(3*y - 1)/3
Let a(l) be the first derivative of l**6/120 + l**5/80 - l**4/48 - l**3/24 - 7*l - 8. Let p(v) be the first derivative of a(v). Factor p(g).
g*(g - 1)*(g + 1)**2/4
Let h(q) be the second derivative of -4*q - 1/2*q**4 - 1/10*q**5 + 0*q**3 + 4*q**2 + 0. Factor h(c).
-2*(c - 1)*(c + 2)**2
Let q(u) be the second derivative of u**4/60 - 2*u**3/15 + 2*u**2/5 + 2*u. Factor q(t).
(t - 2)**2/5
Let d(g) be the second derivative of 0*g**5 + 1/15*g**6 - 1/3*g**4 - 6*g + 0 + g**2 + 0*g**3. Solve d(i) = 0 for i.
-1, 1
Let q(o) be the first derivative of -5*o**6/6 - 2*o**5 + 10*o**3/3 + 5*o**2/2 + 7. Determine k, given that q(k) = 0.
-1, 0, 1
Let s be (1263/9 + -1)*6. Let h = -9188/11 + s. Factor 2/11*f**3 + 0*f**2 + 0 + 0*f + h*f**5 + 10/11*f**4.
2*f**3*(f + 1)*(4*f + 1)/11
Determine o so that 48/5 + 57/5*o**4 - 48*o**2 + 96/5*o - 21/5*o**5 + 12*o**3 = 0.
-2, -2/7, 1, 2
Let o(k) be the third derivative of -k**5/240 + 5*k**4/48 - 3*k**3/8 + 7*k**2. Factor o(y).
-(y - 9)*(y - 1)/4
Solve r**3 - 20 + 7*r**2 + 4*r**3 + 8*r**2 = 0.
-2, 1
Let v(j) = 4*j**3 - 3*j**2 + 6*j - 1. Let b(m) = -13*m + 2*m**2 + 0*m - 9*m**3 - 3 + 5 + 4*m**2. Let y(s) = -6*b(s) - 14*v(s). Factor y(w).
-2*(w - 1)**3
Let z(b) be the second derivative of -b**9/1008 + b**8/280 - b**6/60 + b**5/40 + 5*b**3/6 - 2*b. Let m(n) be the second derivative of z(n). Solve m(c) = 0.
-1, 0, 1
Let x(j) = 72*j**3 + 176*j**2 + 148*j. Let a(h) = -13*h**3 - 32*h**2 - 27*h. Let v(s) = 28*a(s) + 5*x(s). What 