 = -5*b(j) + 7*u(j). Factor s(z).
z**2*(z - 1)
Determine k, given that -5 + 1 + 61*k**4 + 8*k**2 - 65*k**4 = 0.
-1, 1
Let p(h) be the third derivative of -1/420*h**7 + 5*h**2 + 0*h**3 + 1/240*h**6 + 0*h + 0*h**4 + 0*h**5 + 0. Suppose p(z) = 0. Calculate z.
0, 1
Let w be 11/(-44) - 50/(-8). Solve -2*n - 7*n - w + 2*n**2 - 5*n**2 = 0 for n.
-2, -1
Factor -2*z + 105*z**2 - 105*z**2 + 5*z**3 - 3*z**3.
2*z*(z - 1)*(z + 1)
Let o = -39 + 431/11. Factor 2/11*v - 4/11 + o*v**2.
2*(v - 1)*(v + 2)/11
Let z(l) be the first derivative of -l**5/50 - l**4/10 - l**3/5 - l**2/5 - 3*l + 4. Let f(p) be the first derivative of z(p). Suppose f(b) = 0. What is b?
-1
Suppose -2*o - o + 15 = 0. Suppose 5*p = -13 - 7, -h = -o*p - 22. Let -4 + g**2 + 6 - 5*g**2 + h*g**4 = 0. What is g?
-1, 1
Let b(v) = 3*v**4 + 2*v**3 - 3*v**2 - 2*v - 2. Let o(l) = 25*l**4 + 17*l**3 - 25*l**2 - 17*l - 17. Let q(m) = -51*b(m) + 6*o(m). Factor q(w).
-3*w**2*(w - 1)*(w + 1)
Factor 0 + 4/7*c**2 - 4/7*c**3 + 0*c + 4/7*c**5 - 4/7*c**4.
4*c**2*(c - 1)**2*(c + 1)/7
Let p(y) be the second derivative of -y**5/40 - y**4/8 + y**3/12 + 3*y**2/4 - 5*y. Determine i, given that p(i) = 0.
-3, -1, 1
Suppose 6*j - 3*j = -3*j. Find s, given that 2/9*s + j + 2/9*s**2 = 0.
-1, 0
Let z = 19 + -9. Suppose -2*q + 7*q = z. Solve 0*w**q + 0 + 2/3*w - 2/3*w**3 = 0 for w.
-1, 0, 1
Let z(f) be the first derivative of -f**9/2016 - f**8/1680 + f**7/560 + f**6/360 + f**3 + 1. Let p(c) be the third derivative of z(c). Let p(g) = 0. What is g?
-1, -2/3, 0, 1
Let s be (7/(21/(-24)))/(-12 + 2). Factor -4/5*c**2 - s - 8/5*c.
-4*(c + 1)**2/5
Let n(o) be the first derivative of o**3/6 + o**2/8 + 4. Determine g so that n(g) = 0.
-1/2, 0
Let b(z) = -4*z + 11*z**2 + 0*z**2 + 3*z. Let k(l) = 7*l**2 - l. Let h(s) = 5*b(s) - 7*k(s). Factor h(g).
2*g*(3*g + 1)
Let f = 2 + -27. Let d be (-12)/(-45) - 10/f. Factor -d + 2/3*j + 2/3*j**2 - 2/3*j**3.
-2*(j - 1)**2*(j + 1)/3
Let a(q) be the third derivative of q**6/300 + q**5/150 - q**4/60 - q**3/15 - 5*q**2. Factor a(k).
2*(k - 1)*(k + 1)**2/5
Let p(a) = -38*a + 14*a - 10*a**3 - a**2 - 10*a**3 + 17*a**2. Let j(c) = -4*c**3 + 3*c**2 - 5*c. Let t(z) = 24*j(z) - 5*p(z). Solve t(q) = 0.
0, 2
Suppose 79 = 3*l + 25. Let r be (-4)/l - 28/(-45). Find p such that 0 - r*p - 7/5*p**2 = 0.
-2/7, 0
Factor -91*x**3 + 45*x**3 - 3*x**2 + 4 + 47*x**3.
(x - 2)**2*(x + 1)
Let s(l) be the second derivative of -l**4/36 + 2*l**3/9 + 5*l**2/6 - 10*l. Factor s(c).
-(c - 5)*(c + 1)/3
Suppose -6 = 4*m - 30. Suppose 2*z + 2*z = -2*q, -q - 5*z = m. Determine b, given that 3*b**4 - 3*b**q + 4*b**5 - 4*b**3 + 2*b - 2*b**5 = 0.
-1, 0, 1
Let t(m) = -m**2 + m - 1. Let p(c) = -c**4 + 5*c**3 - 2*c**2 - 2*c + 5. Let a(q) = 2*p(q) + 10*t(q). Determine o, given that a(o) = 0.
0, 1, 3
Let c(v) = -2*v**4 + 5*v**3 + 2*v**2 - 5*v - 5. Let x(y) = 4 + 2*y - 3*y**2 + y**2 - 4*y**3 + 2*y + 2*y**4 + 0*y**2. Let s(u) = 4*c(u) + 5*x(u). Factor s(a).
2*a**2*(a - 1)*(a + 1)
Let z be (-7)/(-10) + (5 - 156/30). Factor -1/2*t**2 + 0*t + z.
-(t - 1)*(t + 1)/2
Let d(w) = 9*w**4 + 8*w**3 + 2*w**2 + 3*w + 3. Let x(z) = 80*z**4 + 72*z**3 + 18*z**2 + 26*z + 26. Let p(n) = -52*d(n) + 6*x(n). Factor p(u).
4*u**2*(u + 1)*(3*u + 1)
Let b(r) be the third derivative of -r**9/7560 - r**8/1120 - r**7/420 - r**6/360 + r**4/24 - 5*r**2. Let c(k) be the second derivative of b(k). Factor c(j).
-2*j*(j + 1)**3
Let g(p) = p**3 + 11*p**2 + 11*p + 10. Let s be g(-10). Let y(r) be the third derivative of s + 0*r**4 - 1/240*r**5 + 0*r**3 - r**2 + 0*r. Factor y(t).
-t**2/4
Let q(v) be the third derivative of -v**5/180 - v**4/36 - v**3/18 + 7*v**2. Factor q(o).
-(o + 1)**2/3
Let h be (6 - 3) + -3 + 2. Let t be (-28)/49*h/(-4). Factor -2/7*p**2 - 4/7*p - t.
-2*(p + 1)**2/7
Let z(o) = -o**2 + 3*o - 10. Let b(n) = -2*n**2 + 7*n - 21. Let h(f) = 4*b(f) - 9*z(f). Let x be h(0). Factor a + a**2 + x*a**2 - 3*a**2 - 3*a**2.
a*(a + 1)
Let i(b) be the third derivative of b**7/105 + b**6/40 - b**5/15 - b**4/8 + b**3/3 - 15*b**2 - 2*b. Let i(x) = 0. What is x?
-2, -1, 1/2, 1
Let j(d) be the third derivative of d**8/53760 - d**7/20160 - d**4/12 - d**2. Let t(i) be the second derivative of j(i). Determine a so that t(a) = 0.
0, 1
Let f be 1*(0 + -4 + 3). Let h be (4/(-12))/(f/9). Solve 0*r - 2/7*r**h + 0*r**2 + 0 - 6/7*r**4 = 0.
-1/3, 0
Let p(q) = 3*q**5 - 2*q**4 - 5*q**3 - 2*q + 2. Let v(k) = 16*k**5 - 11*k**4 - 26*k**3 - k**2 - 11*k + 11. Let l(h) = -33*p(h) + 6*v(h). Factor l(u).
-3*u**2*(u - 1)**2*(u + 2)
Let r be ((-16)/(-12))/((-2)/(-18)). Suppose -4*v - 4*z = -16, -3*z + r = -v + 2*v. Find l, given that v*l - 2/3*l**2 + 2/3 = 0.
-1, 1
Let t(j) be the third derivative of j**6/140 - 3*j**5/14 + 27*j**4/28 - 13*j**3/7 + 34*j**2. Factor t(c).
6*(c - 13)*(c - 1)**2/7
Let a = 13/18 - 5/9. Let r(w) be the first derivative of 2 - a*w**4 + 0*w**2 + 1/9*w**3 + 0*w. Determine i so that r(i) = 0.
0, 1/2
Let w(k) be the second derivative of k**6/165 + k**5/110 - k**4/66 - k**3/33 + 6*k. Factor w(o).
2*o*(o - 1)*(o + 1)**2/11
Let y be (-6)/(-4) - (-14)/(-4). Let k be 3 - (-1)/(y/6). Find r such that k*r**3 - r**2 + 1/2*r - 1/2*r**5 + 0 + r**4 = 0.
-1, 0, 1
Suppose 5*o = 2*f + 5, -3*f + 1 + 5 = -3*o. Let d be 6/15 + (-2)/f. Factor 0*y**2 + 1/3*y**3 - 1/3*y + d.
y*(y - 1)*(y + 1)/3
Let v be (-6)/(-4)*16/12. Let p be (3*-1)/(-6)*v. Solve p + 10*s**2 + 0 - 1 - 4*s = 0.
0, 2/5
Suppose -2*t + t = 0. Suppose t*b = -l + 5*b + 23, 0 = -5*l + b + 19. Suppose 2/7*u**l - 2/7*u**2 + 2/7*u**4 + 0 + 0*u - 2/7*u**5 = 0. What is u?
-1, 0, 1
Let n(m) be the second derivative of -m**7/2520 - m**6/720 + m**4/6 - 8*m. Let q(v) be the third derivative of n(v). Factor q(k).
-k*(k + 1)
Let a(m) be the third derivative of -m**8/47040 + m**6/5040 - m**4/6 + 5*m**2. Let t(j) be the second derivative of a(j). Solve t(c) = 0.
-1, 0, 1
Suppose 3/2*r**2 + 1/2*r**3 - 3/2 - 1/2*r = 0. Calculate r.
-3, -1, 1
Let c be ((-10)/3)/((-2)/3). Let a = -1 - -2. Let f(h) = -3*h**2 - h - 3. Let r(n) = n**2 + n + 1. Let b(i) = a*f(i) + c*r(i). Suppose b(g) = 0. What is g?
-1
Factor -5*m**3 - 3*m + 4*m**3 + 4*m**3.
3*m*(m - 1)*(m + 1)
Let g(y) be the second derivative of -5/36*y**3 - 1/6*y**2 - 1/18*y**4 + 10*y + 0 - 1/120*y**5. Factor g(o).
-(o + 1)**2*(o + 2)/6
Let u(a) be the second derivative of -a + 0*a**3 + 0*a**2 - 1/6*a**4 + 0*a**5 + 0 + 1/15*a**6. Factor u(s).
2*s**2*(s - 1)*(s + 1)
Suppose -21 = i - 8*i. Let k = -213/5 - -43. Solve 2/5*a**i - k - 2/5*a + 2/5*a**2 = 0 for a.
-1, 1
Let l(h) be the third derivative of 0*h**3 + 1/120*h**6 + 0*h**4 + 0*h + 0 + 1/30*h**5 + 10*h**2. Factor l(p).
p**2*(p + 2)
Factor -122/5*g - 28/5 + 18/5*g**2.
2*(g - 7)*(9*g + 2)/5
Let o(a) be the first derivative of -a**3/3 - 9*a**2/2 - 14*a + 67. Solve o(p) = 0 for p.
-7, -2
Let h(m) be the third derivative of m**5/360 + m**4/72 - 6*m**2. Factor h(v).
v*(v + 2)/6
Let m(j) be the third derivative of -j**7/6 - 31*j**6/24 - 10*j**5/3 - 5*j**4/2 - 19*j**2. Solve m(p) = 0.
-2, -3/7, 0
Let v(x) = x + 2. Suppose c + 5*s + 10 = 0, -4*s + 0 = -3*c + 27. Let o be v(c). Factor q - 3*q**5 + 2*q**2 - 2*q**4 - 3*q**5 - 2*q**5 + o*q**5.
-q*(q - 1)*(q + 1)**3
Let f(t) be the second derivative of -2*t**6/15 + 2*t**5/5 - 4*t**3/3 + 2*t**2 + 3*t. Suppose f(d) = 0. What is d?
-1, 1
Factor 2*a**3 + 1/3*a**5 + 4/3*a**2 + 0 + 4/3*a**4 + 1/3*a.
a*(a + 1)**4/3
Let t(u) be the third derivative of -4*u**2 + 0 - 1/60*u**4 - 1/150*u**5 + 0*u**3 + 0*u. Solve t(l) = 0.
-1, 0
Let k(d) be the second derivative of d**5/5 + 11*d**4/3 + 26*d**3 + 90*d**2 + 9*d. Factor k(t).
4*(t + 3)**2*(t + 5)
Let j(m) be the second derivative of -m**4/18 + 4*m**3/9 - 14*m. Solve j(p) = 0.
0, 4
Suppose 13 = 3*g - 17. Let o = g - 7. Factor -3/4*j**4 - 3/4*j**5 + 0 + 0*j + 3/4*j**o + 3/4*j**2.
-3*j**2*(j - 1)*(j + 1)**2/4
Let l(w) be the third derivative of 0*w**3 + 0*w - 1/1344*w**8 - 3*w**2 + 0*w**5 + 0 + 0*w**4 - 1/840*w**7 + 0*w**6. Factor l(k).
-k**4*(k + 1)/4
Determine n, given that -n + 1/4*n**2 + 3/4 = 0.
1, 3
Let g = -6999 + 21320/3. Let b = 109 - g. Find h, given that 2/3*h**3 + 2/3*h + b*h**2 + 0 = 0.
-1, 0
Let a(b) = b**2 + 12*b + 14. Let n be a(-11). Factor -5 + 10 - 5 + n*j**3 - 3*j.
3*j*(j - 1)*(j + 1)
Let l(p) = p**4 - p**3 + 1. Let j(v) = -5*v**5 - v**4 + 13*v**3 - 4*v**2 -