**6 + 1/90*k**7 + 1/18*k**4 + 3*k**2 + 0 + 0*k. Factor b(o).
o*(o - 1)*(o + 2)*(7*o - 2)/3
Let z(r) be the second derivative of 2*r**6/45 + 2*r**5/15 - 4*r**4/3 + 28*r**3/9 - 10*r**2/3 + 3*r. Suppose z(n) = 0. Calculate n.
-5, 1
Suppose 4*j = 0, -4*n - 5*j = -4*j. Let m(c) be the first derivative of -4 + 1/14*c**4 + 2/35*c**5 + 0*c**3 + n*c**2 + 0*c. Suppose m(l) = 0. Calculate l.
-1, 0
Let n(d) = -d**2 - d. Let f(z) = -5*z**2 - 2*z + 3. Let r(b) = -f(b) + 2*n(b). Let r(w) = 0. Calculate w.
-1, 1
Let f(y) be the first derivative of -4*y**7/105 - 3*y**6/20 - y**5/5 - y**4/12 - 3*y**2/2 - 3. Let g(h) be the second derivative of f(h). Factor g(v).
-2*v*(v + 1)**2*(4*v + 1)
Solve 49*a**2 + 52*a**2 + 5*a - 106*a**2 = 0 for a.
0, 1
Let u be (-2)/(-11) + (-294)/(-77). Factor -f**u - f**4 + 2*f**4 - 9*f**3 + 3*f**4 - 6 + 9*f + 3*f**2.
3*(f - 2)*(f - 1)**2*(f + 1)
Let f = -131399/120 - -1095. Let n(c) be the third derivative of 1/60*c**5 - f*c**6 - 2*c**2 + 0*c + 0*c**3 + 0*c**4 + 0. Factor n(z).
-z**2*(z - 1)
Let g be 1728/1215 + (-2)/18*2. Find d such that 2/5 - 2/5*d**3 - g*d + 6/5*d**2 = 0.
1
Let a(x) be the second derivative of x**6/720 - x**5/80 + x**4/24 + x**3/6 + 2*x. Let w(r) be the second derivative of a(r). Suppose w(y) = 0. Calculate y.
1, 2
Let y(s) = s**5 + s**4 - 7*s**3 - s**2 + 6*s. Let h(j) = -3*j**5 - 3*j**4 + 20*j**3 + 3*j**2 - 17*j. Let k(r) = 6*h(r) + 17*y(r). Factor k(z).
-z**2*(z - 1)*(z + 1)**2
Let a = -27 + 27. Let p(y) be the third derivative of a - 2*y**2 - 1/180*y**6 + 1/36*y**4 + 0*y - 1/45*y**5 + 2/9*y**3. Factor p(g).
-2*(g - 1)*(g + 1)*(g + 2)/3
Find m, given that 3/7*m**2 - 1/7*m**4 - 2/7*m**3 + 0 + 0*m = 0.
-3, 0, 1
Determine j, given that 41*j - 4*j**3 + 8*j**2 - 41*j - 4*j**4 = 0.
-2, 0, 1
Suppose -k - 5*k**2 + k**2 + 2*k + 3*k = 0. What is k?
0, 1
Let i(w) be the second derivative of -3*w - 3/5*w**3 + 27/10*w**2 + 1/20*w**4 + 0. Find n such that i(n) = 0.
3
Let v(z) be the second derivative of -z**4/12 + z**3/2 - z**2 + 2*z. Let d(r) = -6*r + 1 + 9*r - 4*r. Let j(o) = -3*d(o) - v(o). Factor j(g).
(g - 1)*(g + 1)
Let v(s) = -s**3 - 9*s**2 - 16*s - 12. Let o be v(-7). Suppose -4/3*a - 2/3*a**o + 0 + 2/3*a**3 = 0. Calculate a.
-1, 0, 2
Let b(q) be the first derivative of 2*q**5/75 + q**4/15 + 2*q**3/45 + 7. Factor b(k).
2*k**2*(k + 1)**2/15
Let h = -435/7 + 63. Factor -2/7*p**5 - 8/7*p + 8/7*p**2 + h*p**3 + 0 - 4/7*p**4.
-2*p*(p - 1)**2*(p + 2)**2/7
Let p(h) be the third derivative of h**9/7560 - h**8/2100 + h**6/450 - h**5/300 + h**3/6 - 3*h**2. Let a(c) be the first derivative of p(c). Factor a(d).
2*d*(d - 1)**3*(d + 1)/5
Let j(h) = 9*h - 9*h**2 + 0*h**3 - 27*h**3 + 2*h**3. Let p(g) = 6*g**3 + 2*g**2 - 2*g. Let t(c) = 2*j(c) + 9*p(c). Factor t(m).
4*m**3
Let z be 4/(3/9*3). Suppose z*r + 0 = 8. Factor 5*d**r + 2 - d**2 - 1 + 4*d.
(2*d + 1)**2
Let o(z) = -2*z**4 - z**3 + 3. Let m(q) = 4*q**4 + 3*q**3 - 5. Let h(n) = 3*m(n) + 5*o(n). Factor h(l).
2*l**3*(l + 2)
Let t(q) be the first derivative of -q**6/6 + 16*q**5/5 - 63*q**4/4 - 16*q**3/3 + 32*q**2 - 19. Factor t(l).
-l*(l - 8)**2*(l - 1)*(l + 1)
Factor 10/13*q**3 - 2/13*q**2 + 6/13*q**5 + 0 + 0*q - 14/13*q**4.
2*q**2*(q - 1)**2*(3*q - 1)/13
Let m(t) be the first derivative of -t**4/16 + 3*t**2/8 + t/2 - 20. Factor m(f).
-(f - 2)*(f + 1)**2/4
Suppose 4*i - 5*b + 1025 = i, 2*i + 2*b = -662. Let n = 1681/5 + i. Find u, given that 4/5*u + n*u**3 - 14/5*u**2 + 0 = 0.
0, 1/3, 2
Let o(q) be the first derivative of -2/3*q**6 - 5 + 0*q**2 + q**4 + 0*q - 4/5*q**5 + 4/3*q**3. Suppose o(m) = 0. What is m?
-1, 0, 1
Let r be (43/(-5) - -7)/(-2). Factor -2/5*f + 0 - r*f**2.
-2*f*(2*f + 1)/5
Let u be (4 + -1)*(-6)/(-9). Suppose 5*r + u*j = 3*j + 6, -5*r + 5*j = 10. Factor -10*f**4 + 6*f**2 - 2*f**r - 4*f**3 - 2*f**3.
-2*f**2*(f + 1)*(5*f - 2)
Let v be 502/2640 + (-2)/11. Let s(l) be the third derivative of 1/180*l**5 + 0 + 1/210*l**7 + 1/1008*l**8 + v*l**6 + l**2 + 0*l + 0*l**3 + 0*l**4. Factor s(y).
y**2*(y + 1)**3/3
Let y(d) = -d**2 - 9*d + 4. Let x(l) = -2*l**2 - 10*l + 4. Let t(o) = 3*x(o) - 4*y(o). Factor t(f).
-2*(f - 2)*(f - 1)
Factor 8*n**2 - 68/3*n**3 + 20/3*n**4 + 0*n + 0.
4*n**2*(n - 3)*(5*n - 2)/3
Suppose 6*q - 10*q + 2*p = -22, -q = p + 2. Factor -3*m**3 - 3/2*m**4 + 3/2*m**2 + q*m + 0.
-3*m*(m - 1)*(m + 1)*(m + 2)/2
Factor 5/2*k**3 + 7/2*k - 1 - 1/2*k**4 - 9/2*k**2.
-(k - 2)*(k - 1)**3/2
Let m(v) = -3*v**5 - 8*v**4 + 2*v**3 + 15*v**2 - 3*v - 16. Let o(j) = -j**5 - j**2 + j. Let d(t) = -2*m(t) + 10*o(t). Factor d(l).
-4*(l - 2)**3*(l + 1)**2
Suppose 0*n - n - i = -2, -4*n = -5*i - 8. Determine w, given that -3*w**4 + 3 - n*w**2 + 2*w**2 + 4*w**3 - 6*w + 2*w**3 = 0.
-1, 1
Suppose 2*q - 4 = 4. Let r be (5 + -2)/(18/30). Solve -2*i**3 - 6*i**3 + 6*i**3 + r + 2*i + 2*i**q - 6*i**2 - 1 = 0.
-1, 1, 2
Let o = 152 - 454/3. Factor 0*i + 1/3*i**2 - o*i**3 + 0 + 1/3*i**4.
i**2*(i - 1)**2/3
Determine q, given that 1/2*q**2 + 0 - 1/3*q + 0*q**3 - 1/6*q**4 = 0.
-2, 0, 1
Let q(h) be the third derivative of -h**10/151200 + h**8/10080 - h**6/720 - h**5/10 - 3*h**2. Let y(c) be the third derivative of q(c). Let y(x) = 0. What is x?
-1, 1
Let t be (-28)/(-80) + (-2)/(-8). Factor -t + 3/5*n**2 + 8/5*n.
(n + 3)*(3*n - 1)/5
Let l = -59/2 - -299/10. Find d such that 0 + 1/5*d**4 + 3/5*d**3 - 1/5*d**2 - l*d - 1/5*d**5 = 0.
-1, 0, 1, 2
Let o(p) be the third derivative of -p**5/300 - p**4/120 + 9*p**2. Let o(z) = 0. What is z?
-1, 0
Let i(n) be the third derivative of n**6/660 + n**5/66 + 2*n**4/33 + 4*n**3/33 + 2*n**2. What is b in i(b) = 0?
-2, -1
Let d(t) be the second derivative of -t**6/70 + 3*t**5/35 - t**4/7 + 10*t. Let d(k) = 0. What is k?
0, 2
Suppose -32 = -3*z - 8. Suppose -2*i + g + 14 = -2, 3*g = -i + z. Factor 3*u - 2*u**3 + u + 6*u**2 - i*u**3.
-2*u*(u - 1)*(5*u + 2)
Let p(s) be the first derivative of -2*s**3/51 + 12*s**2/17 - 72*s/17 - 21. Factor p(q).
-2*(q - 6)**2/17
Let u(x) be the first derivative of 0*x**3 - 3/16*x**4 + 0*x**2 - 6 + 0*x + 3/40*x**5. Find l, given that u(l) = 0.
0, 2
Let h(m) be the second derivative of m**6/480 + m**5/80 - m**3/6 + m**2 - 3*m. Let q(d) be the first derivative of h(d). Factor q(l).
(l - 1)*(l + 2)**2/4
Let -4*m**3 + 3*m**3 + 3*m**3 + 0*m**3 - 4*m**2 = 0. What is m?
0, 2
Let s be (-1)/(10/4 - 6). Factor -s*v + 2/7*v**3 + 0 + 0*v**2.
2*v*(v - 1)*(v + 1)/7
Let v(s) be the second derivative of -s**4/20 - s**3/10 - 6*s. Factor v(a).
-3*a*(a + 1)/5
Let q(l) = -3*l + 7. Let p(s) = 5*s - 11. Let g(i) = 5*p(i) + 8*q(i). Let w(m) = -m**2 + 6*m + 4. Let v(f) = -4*g(f) + w(f). Factor v(h).
-h*(h - 2)
Suppose 4*i = 6*i + 8. Let s be (8/i)/2 - -1. What is y in 0*y**2 + s*y**4 - 2/5*y**3 + 0*y + 2/5*y**5 + 0 = 0?
-1, 0, 1
Let x = 17 - 14. Let f(a) be the first derivative of -2*a**5 + 1/3*a**6 - 2*a + 5*a**2 + 1 - 20/3*a**x + 5*a**4. Determine c so that f(c) = 0.
1
Factor 4 + 18*q**2 + 0 + 2*q + 19*q**2 - 39*q**2.
-2*(q - 2)*(q + 1)
Find o, given that 0 + 0*o**2 - 1/2*o + 1/2*o**3 = 0.
-1, 0, 1
Suppose -3*v + 0*y + 5 = -y, -4*v - 3*y = -24. Factor -6*u**3 - 2*u**2 + 4*u**v + 6*u**2 - 4*u + u**3.
-u*(u - 2)**2
Let v(f) be the first derivative of -f**5/5 - 3*f**4/4 + 2*f**2 - 6. Factor v(u).
-u*(u - 1)*(u + 2)**2
Let b(m) be the third derivative of 0*m**3 + 0 + 7*m**2 + 0*m**4 + 0*m**5 + 1/1365*m**7 + 0*m + 1/390*m**6. Let b(r) = 0. What is r?
-2, 0
Let t be 65/13 - 3*1. Let q(y) = -15*y**3 + 30*y**2 - 18*y + 3. Let g(f) = -f**4 + 15*f**3 - 29*f**2 + 19*f - 4. Let z(a) = t*q(a) + 3*g(a). Factor z(w).
-3*(w - 2)*(w - 1)**3
Let m(j) = 3*j**4 - 3*j**3 + 4*j**2 + 2*j + 2. Let q(t) = -10*t**4 + 9*t**3 - 13*t**2 - 7*t - 7. Let v(a) = 7*m(a) + 2*q(a). Factor v(d).
d**2*(d - 2)*(d - 1)
Let y = 6/73 + 37/438. Let h(k) be the first derivative of 2/3*k**3 - k**2 - 3 - y*k**4 + 2/3*k. Factor h(b).
-2*(b - 1)**3/3
Let z(y) = -3*y + 2*y - 2*y - 1. Let j be z(-1). Factor -4*i**2 + j + 5*i**2 - 2*i - 1.
(i - 1)**2
Determine p, given that -5*p + 17*p**2 - 9*p**2 - p - 2*p - 2*p**3 = 0.
0, 2
Let d(c) be the first derivative of c**4 - 4*c**3/3 - 6. Factor d(u).
4*u**2*(u - 1)
Let k(z) = z**3 - z + 1. Let d(u) = 972*u**4 - 1629*u**3 + 831*u**2 - 186*u + 30. Let o(q) = -d(q) + 18*k(q). Determine l so that o(l) = 0.
2/9, 1/4, 1
Let l = 10 + -5. Suppose -2 = -l*t + 8. Find x