**4 + 1 - 1/4*j**3 + 1/10*j**5. Factor p(k).
(k - 1)*(k + 1)**2*(2*k - 1)/4
Let s be (1/2)/(4/40). Let w(k) be the first derivative of -1 - 2/25*k**s - 2/5*k - 2/5*k**4 - 4/5*k**3 - 4/5*k**2. Find l, given that w(l) = 0.
-1
Let d = -3 - -7. Suppose 31 + d*k + 16*k**3 - 31 + 6*k**4 + 14*k**2 = 0. Calculate k.
-1, -2/3, 0
Let f(l) = 39*l**3 + 39*l**2 + 9*l - 39. Let q(w) = -8*w**3 - 8*w**2 - 2*w + 8. Let m(g) = -5*f(g) - 24*q(g). Find z such that m(z) = 0.
-1, 1
Let u(m) = m + 4. Let q be (-6)/(12/(-4))*-2. Let x be u(q). Factor -1/4*n**3 + n**4 + x*n**2 + 0*n + 0.
n**3*(4*n - 1)/4
Let c(t) be the third derivative of t**6/30 + t**5/15 - 4*t**4/3 - 8*t**3 - 10*t**2. Factor c(o).
4*(o - 3)*(o + 2)**2
Let m(w) be the first derivative of -5*w**6/3 - 16*w**5/5 + 12*w**4 + 4*w**3/3 - 19*w**2 + 12*w - 29. Determine g so that m(g) = 0.
-3, -1, 2/5, 1
Suppose -6 = -2*p - 4*y, -3*p - 3*y + 9 = y. Let 8/7*a**4 + 0 - 2/7*a - 2/7*a**5 + 8/7*a**2 - 12/7*a**p = 0. Calculate a.
0, 1
Let b(i) = i**2 - 6*i + 2. Let h be b(6). Let t(m) = -2*m - 7. Let d be t(-5). Suppose -j**2 + h*j**3 + 2*j - d*j + j**4 - j**3 = 0. Calculate j.
-1, 0, 1
Let x(r) be the second derivative of r**7/189 - r**6/15 + 13*r**5/45 - r**4/3 - r**3 + 3*r**2 - 44*r. Factor x(m).
2*(m - 3)**3*(m - 1)*(m + 1)/9
Let q(y) be the first derivative of y**2 - 1/2*y**4 + y - 1/5*y**5 + 0*y**3 - 1. Factor q(s).
-(s - 1)*(s + 1)**3
Let w(t) = -134*t**4 - 294*t**3 + 258*t**2 - 76*t. Let j(z) = 133*z**4 + 293*z**3 - 259*z**2 + 75*z - 1. Let m(f) = 6*j(f) + 5*w(f). Solve m(s) = 0.
-3, 1/4
Let g = -16 + 6. Let f be (12/g)/((-6)/40). Factor 5*y + f*y**3 + 2*y**4 + 12*y**2 + 3 - 1 + 3*y.
2*(y + 1)**4
Let b(k) be the second derivative of 3*k + 6*k**4 + k**2 - 27/5*k**5 + 9/5*k**6 - 10/3*k**3 + 0. Factor b(y).
2*(y - 1)*(3*y - 1)**3
Suppose 0 = 4*r + 6 + 2. Let v = r + 2. Factor 1/2*d**2 + 1/2*d**3 - 1/2*d - 1/2*d**4 + v.
-d*(d - 1)**2*(d + 1)/2
Let f = 41 - 37. Let h(n) be the first derivative of -9/5*n**5 - 3*n**2 + f*n**3 + 3/2*n**4 + 1 - 3*n. Let h(o) = 0. Calculate o.
-1, -1/3, 1
Factor 6/11*b + 0 - 2/11*b**2.
-2*b*(b - 3)/11
Suppose -3*n + 6*n = 12. Factor -3*o**5 - 2*o**2 + 5*o**4 - o**2 + 3*o**3 - 2*o**n + 0*o**3.
-3*o**2*(o - 1)**2*(o + 1)
Suppose -3*j - 22 = 2*g, 7*j - 2*j = 3*g - 5. Let b = 6 + j. What is v in 2*v**5 + 2/5*v**3 + 0 + 0*v + 16/5*v**4 - 4/5*v**b = 0?
-1, 0, 2/5
Let x be ((-2)/6)/(9/(-54)). Solve 4/7*f**3 + 16/7*f + 0 - 16/7*f**x = 0.
0, 2
Let g(l) be the third derivative of l**8/168 - l**7/105 - l**6/60 + l**5/30 - 15*l**2. Factor g(n).
2*n**2*(n - 1)**2*(n + 1)
Let o(a) be the third derivative of 0*a - 5/1008*a**8 + 0*a**4 + 1/90*a**5 + 0*a**3 - 1/315*a**7 + 1/72*a**6 - 2*a**2 + 0. Solve o(s) = 0.
-1, -2/5, 0, 1
Suppose -4*g = -4*t + 4 - 32, -4*g = -16. Let k = 7/2 + t. Suppose 1/2*z**3 - 1/2*z + 1/2*z**2 + 0 - k*z**4 = 0. What is z?
-1, 0, 1
Let s(p) be the first derivative of -1/4*p**2 + 3 - 1/12*p**3 + 0*p. Factor s(j).
-j*(j + 2)/4
Let k(a) = -3*a - 3. Let h be k(-3). Let b(i) = -8*i**2 + 4*i + 6. Let t(f) = -2 - f + 4 - 3 + f**2. Let d(l) = h*t(l) + b(l). Let d(v) = 0. Calculate v.
-1, 0
Let d(a) be the second derivative of a**5/30 + 2*a**4/9 - 3*a. Suppose d(o) = 0. What is o?
-4, 0
Suppose 9*f - 127 + 127 = 0. Factor f - 2/9*z**3 + 0*z**2 + 0*z - 2/9*z**4.
-2*z**3*(z + 1)/9
Let x(h) be the first derivative of 0*h**3 - 3 + 0*h - 1/18*h**4 - 1/90*h**5 - 3/2*h**2. Let b(g) be the second derivative of x(g). Let b(v) = 0. Calculate v.
-2, 0
Let j(d) = -7*d**4 + 4*d**3 + 9*d**2 - 10*d. Let v(w) = -20*w**4 + 11*w**3 + 27*w**2 - 29*w. Let p(q) = 11*j(q) - 4*v(q). Let p(i) = 0. Calculate i.
-2, 0, 1
Let f be 3 + (2 - 734/146). Let x = 79/219 + f. Find r, given that -1/3*r**2 + 0 + 1/3*r**4 + 1/3*r - x*r**3 = 0.
-1, 0, 1
Let w(y) be the second derivative of -y**3/2 - 4*y. Let q be w(-1). Factor -4 - 1 + q*f**2 + 2.
3*(f - 1)*(f + 1)
Let s = -8 - -11. Factor -4*a**3 + 4*a**s + a**2 + a**3.
a**2*(a + 1)
Suppose 0*h = -5*h + 3*o + 19, 3*h - 15 = 3*o. Suppose 0 = -h*w - 3*w + 15. Factor 4*k**4 + k**4 + k**w - 4*k**4.
k**3*(k + 1)
Solve -42/5*h + 3/5 + 147/5*h**2 = 0.
1/7
Suppose 5*y = 4*a - 6*a - 3, -a = -1. Let v(o) = -4*o**2 + 2*o - 2. Let d(w) = w**2 + w. Let f(p) = y*v(p) - 2*d(p). Factor f(x).
2*(x - 1)**2
Suppose -3*u**2 + 33 + 4*u**2 - 4*u**2 - 6 = 0. Calculate u.
-3, 3
Suppose 2*a + 0 = 5*n + 25, -2*n - 26 = -4*a. Let c = -1 - n. Determine v so that 0*v**c + 1/2*v**4 + v - 1/2 - v**3 = 0.
-1, 1
Let o(a) = a**3 + 6*a**2 - 6*a + 9. Let w be o(-7). Let q(l) be the first derivative of 0*l + 1/3*l**w + 1/9*l**3 - 2. Factor q(d).
d*(d + 2)/3
Suppose 0*o + 4*o = 16. Factor 10*f**3 - 12*f**3 + 5*f**4 - 4*f**o.
f**3*(f - 2)
Let v(i) be the first derivative of 2*i**3/9 + i**2/6 - i/3 + 22. Factor v(j).
(j + 1)*(2*j - 1)/3
Let l be (0 - -1)/(1148/216). Let k = 4/41 + l. Factor -k*q**2 - 2/7*q**3 + 0 + 2/7*q**4 + 2/7*q.
2*q*(q - 1)**2*(q + 1)/7
Suppose 7 = -t + 11. Find u, given that 18/5*u**2 + 0*u + 10*u**t - 12*u**3 + 0 = 0.
0, 3/5
Let b(m) = -402*m**3 + 180*m**2 - 26*m. Let o(p) = p**3 - 2*p. Let y(x) = -b(x) + 3*o(x). Let y(s) = 0. What is s?
0, 2/9
Let j = -42 - -169/4. Suppose 1/2 - 3/4*x + j*x**2 = 0. Calculate x.
1, 2
Let k(u) be the first derivative of 2*u**3/9 + 2*u**2 + 6*u + 6. Factor k(b).
2*(b + 3)**2/3
Let n be (-3)/(-1) + -12 + 11 + 4. Let h(m) be the first derivative of 0*m + 0*m**2 + 0*m**3 + 1/18*m**n + 0*m**4 - 1 + 1/15*m**5. Let h(v) = 0. Calculate v.
-1, 0
Let g(z) = -2*z**3 - 12*z**2 + 11*z - 7. Let p(k) = k**3 - k + 1. Let o(x) = 2*g(x) + 14*p(x). Factor o(l).
2*l*(l - 2)*(5*l - 2)
Factor -6/11*z + 2/11*z**2 + 0.
2*z*(z - 3)/11
Suppose 4*p = 2*p + 6. Solve 15*z**3 - 13*z**p - 3*z**5 + 2*z**5 - z = 0 for z.
-1, 0, 1
Suppose -6 = 4*v - 5*v. Let m(t) be the third derivative of -t**2 + 0 + 1/24*t**4 + 1/240*t**v + 1/48*t**5 + 0*t + 1/24*t**3. Suppose m(h) = 0. What is h?
-1, -1/2
Let q(o) be the third derivative of 1/36*o**4 + 1/180*o**5 - 8*o**2 + 0 + 0*o + 0*o**3. Factor q(k).
k*(k + 2)/3
Let g(y) be the second derivative of -1/6*y**4 + 0*y**3 + 0 + 6*y + 0*y**2. Factor g(v).
-2*v**2
Determine a, given that 0 + 0*a - 2/7*a**2 = 0.
0
Solve -2/7*o**2 + 2/7*o**3 + 0 + 0*o = 0.
0, 1
Factor 3*r**3 - 140*r**2 - r**4 + r**3 + 137*r**2.
-r**2*(r - 3)*(r - 1)
Find d, given that -5/2 - 25/4*d + 15/2*d**2 + 45/4*d**3 = 0.
-1, -1/3, 2/3
Suppose 4*m - 3*y = -103, -4*m - 88 = 3*y + 33. Let n = 57/2 + m. Solve -1/2 + p - n*p**2 = 0 for p.
1
Let v(y) = 3*y**4 - 42*y**2 + 18*y + 3. Let h(j) = -j**4 + 12*j**2 - 5*j - 1. Let o(p) = 18*h(p) + 5*v(p). Find t, given that o(t) = 0.
-1, 1
Let v(n) be the third derivative of -n**6/420 + 2*n**5/105 - n**4/21 + 3*n**2. Suppose v(r) = 0. Calculate r.
0, 2
Let 2*a - 24*a**2 + 2*a**3 + 4*a**3 - 10*a**3 - 38*a = 0. What is a?
-3, 0
Let k = 33 - 29. Let b(x) be the second derivative of -1/3*x**3 - 4/21*x**k + 0 + 8/35*x**5 - 1/7*x**2 - x. Suppose b(o) = 0. What is o?
-1/4, 1
Let h(m) = -m**2 + 6*m - 3. Let g be h(7). Let n be 5 + -1 - g/(-5). Find t, given that -1/4*t**3 - 1/4 + 1/4*t + 1/4*t**n = 0.
-1, 1
Suppose -2*b + 4 = n, 3*b = n - 1 - 3. Let g(j) be the third derivative of 1/330*j**5 - 2*j**2 - 1/33*j**n + 4/33*j**3 + 0 + 0*j. Factor g(t).
2*(t - 2)**2/11
Let z(n) be the third derivative of n**7/252 + 17*n**6/720 + 2*n**5/45 + n**4/36 + 10*n**2. Factor z(s).
s*(s + 1)*(s + 2)*(5*s + 2)/6
Let j(g) be the first derivative of 2*g**7/105 - g**6/15 - 3*g**2/2 - 1. Let b(l) be the second derivative of j(l). Suppose b(v) = 0. What is v?
0, 2
Let b(n) be the second derivative of 4/105*n**6 - 2*n + 2/21*n**3 + 0 - 3/14*n**4 + 0*n**2 + 3/70*n**5. Determine f, given that b(f) = 0.
-2, 0, 1/4, 1
Let w(i) be the third derivative of 0*i - 1/15*i**3 + 0 - 1/60*i**4 + 1/300*i**6 + 1/150*i**5 - 3*i**2. Factor w(v).
2*(v - 1)*(v + 1)**2/5
What is y in -9 - 3*y + y**2 + 7 + 4 = 0?
1, 2
Let r(l) = 3*l**3 + 5*l**2 - 7*l + 5. Let b(a) = 12*a**3 + 21*a**2 - 27*a + 21. Let s(o) = -5*b(o) + 21*r(o). Factor s(i).
3*i*(i - 2)*(i + 2)
Let h(y) be the second derivative of y**3/6 - 2*y**2 - y. Let m be h(6). Factor 0*g + 0 + 1/4*g**m.
g**2/4
Suppose -4*p = -4*z + 24, 22 - 2 = -5*p. Let a be ((-2)/6)/(z/(-12)). Let -2*i**2 - i**2 - 3*i**2 + 4*i**a = 0. What is i?
0
Let y b