 4*u. Factor l(z).
2*z**5/13
Let g = -3767/7 - -539. Let 0 - 4/7*x**2 - g*x**3 + 0*x - 2/7*x**4 = 0. Calculate x.
-2, -1, 0
Let y(v) be the second derivative of -1/70*v**7 + 4*v + 3/5*v**2 + 0 - 2/25*v**6 - 3/25*v**5 + 1/10*v**4 + 1/2*v**3. Let y(n) = 0. What is n?
-2, -1, 1
Let 0*w**2 - 4*w**2 + 2*w - 14*w = 0. What is w?
-3, 0
Let p = -15 + 26. Factor -18*n**4 - 5 + 3 + p*n**3 - 44*n**2 - 59*n**3 - 16*n.
-2*(n + 1)**2*(3*n + 1)**2
Let d = 0 - -2. Find o such that 4*o - 12*o**d - 4*o**2 - 15*o**2 + 30*o**3 + 9*o**2 = 0.
0, 1/3, 2/5
Suppose 5*k + 160 = 20. Let a be (-36)/k + 1/(-7). Factor 0 - a*v - 8/7*v**2 - 2/7*v**3.
-2*v*(v + 2)**2/7
Suppose 68 = -24*l + 188. Let k(y) be the second derivative of 3*y + 1/42*y**7 + 1/30*y**6 + 0*y**3 + 0*y**2 - 1/12*y**4 + 0 - 1/20*y**l. Factor k(w).
w**2*(w - 1)*(w + 1)**2
Let p(y) be the second derivative of 0 + 4*y - 3/10*y**5 + 1/10*y**6 + 0*y**2 + 0*y**3 + 1/4*y**4. What is m in p(m) = 0?
0, 1
Let b(w) be the third derivative of 0*w + 0 - 1/24*w**5 + 1/6*w**4 - 1/3*w**3 + 1/240*w**6 + 2*w**2. Let b(z) = 0. Calculate z.
1, 2
Factor 4*x + 4*x**2 - 2*x**2 + 3 - 1.
2*(x + 1)**2
Factor 0*z**3 - z**3 + 4*z**4 + 0*z**4 - 3*z**4.
z**3*(z - 1)
Let v(t) be the first derivative of -1/8*t**2 - 2 - 1/48*t**4 - 1/12*t**3 + t. Let o(c) be the first derivative of v(c). Suppose o(h) = 0. Calculate h.
-1
Let a(i) be the third derivative of i**7/280 + i**6/120 - i**3 - 6*i**2. Let l(p) be the first derivative of a(p). What is u in l(u) = 0?
-1, 0
Let t(u) = 7*u**4 + 7*u**3 - 15*u**2 + u + 5. Let n(q) = 3*q**4 + 3*q**3 - 7*q**2 + q + 2. Let r(j) = -5*n(j) + 2*t(j). What is f in r(f) = 0?
-3, 0, 1
Suppose -2*r + 3*q = -27, 2*r + 0*q - 33 = -3*q. Let a be (r/(-5))/(6/(-4)). Factor -1/5 + 1/5*j**a + 0*j.
(j - 1)*(j + 1)/5
Suppose -x = -0 + 26. Let c = -180/7 - x. Factor 0 - c*y**2 + 0*y + 0*y**3 + 2/7*y**4.
2*y**2*(y - 1)*(y + 1)/7
Suppose 15 = 3*c + 3. Suppose 3*r + t - 6 = 3*t, -c*r - 4*t = -8. Suppose -1/3*z + 0 - 1/3*z**r = 0. Calculate z.
-1, 0
Let k(p) = -23*p**3 - 331*p**2 - 1408*p - 515. Let q(y) = 24*y**3 + 332*y**2 + 1408*y + 516. Let b(w) = 4*k(w) + 3*q(w). Factor b(x).
-4*(x + 8)**2*(5*x + 2)
Suppose -4*x + p = 19, -x - 4*p + 20 = -3*x. Let f be 12/(-10) + (-8)/x. Suppose 2*w**2 + 6/5*w - f = 0. What is w?
-1, 2/5
Let b = 40 + -28. Let j(g) = 0*g + 14*g**2 + 2*g**3 + 2*g - b*g**3 + g. Let c(o) = 5*o**3 - 7*o**2 - o. Let h(u) = 7*c(u) + 3*j(u). Factor h(t).
t*(t - 1)*(5*t - 2)
Let a(v) be the first derivative of 6 - 49/30*v**6 + 0*v**2 + 0*v**3 + 28/25*v**5 - 1/5*v**4 + 0*v. Let a(x) = 0. What is x?
0, 2/7
Suppose 4*p = 5*p - 4. Let t be 30/(-5)*2/(-6). Solve 1/2*n**t - 1/4 - 1/4*n**p + 0*n + 0*n**3 = 0.
-1, 1
Let d(g) be the second derivative of 7*g**6/10 + 9*g**5/5 - g**4 + 3*g. Factor d(l).
3*l**2*(l + 2)*(7*l - 2)
Let t(c) = -c**3 - c + 1. Let n(w) = -8*w**3 + 5*w + 2*w**5 + 2*w**2 + 6*w**4 - 8*w**3 + 22 - 27*w. Let y(o) = 2*n(o) - 44*t(o). Factor y(p).
4*p**2*(p + 1)**3
Let x = -87/11 - -871/99. Let 2/9*t**4 + 8/9*t**3 + x*t**2 + 0*t + 0 = 0. What is t?
-2, 0
Let g = -2 - -2. Suppose -3*p + 4*a + 0 + 2 = g, 4*p - 2*a - 6 = 0. Determine q, given that 3*q**2 + 3 - 1 + 0 + 4*q**p + 9*q = 0.
-1, -2/7
Find y such that -11*y**2 + y + 2*y**3 + 8*y**2 + 5*y**2 - 5*y = 0.
-2, 0, 1
Solve 2*c**4 + 2*c**2 - 7*c**4 + 7*c**4 + 4*c**3 = 0 for c.
-1, 0
Let p(g) = 2*g**2 - 4*g + 2. Let k be p(2). What is b in 4*b**2 - 3*b**2 + 2*b**3 - 5*b**k + 2*b = 0?
0, 1
Let b(s) be the first derivative of -2*s**6/3 + 98*s**5/45 - 23*s**4/9 + 34*s**3/27 - 2*s**2/9 - 22. Let b(c) = 0. What is c?
0, 2/9, 1/2, 1
Let i(d) be the second derivative of 0*d**2 + 1/7*d**3 - 1/42*d**4 + 0 + 6*d. Let i(x) = 0. Calculate x.
0, 3
Let x(j) = j**3 + 9*j**2 + 7*j - 1. Let g(h) = -h**2 + 1. Let s(t) = -g(t) - x(t). Suppose s(v) = 0. Calculate v.
-7, -1, 0
Let i(a) = -a**2 - 9*a + 10. Let q be i(-10). Let r(v) be the first derivative of 1 + q*v + 2/21*v**3 + 1/7*v**2. Solve r(j) = 0 for j.
-1, 0
Suppose -l - 2*z - 2 = 0, 4*l - 2*z = -l + 14. Let v(u) be the second derivative of 0 - 1/6*u**4 + 0*u**l - 1/3*u**3 + 2*u. Factor v(o).
-2*o*(o + 1)
Let v be (54/(-21))/(6/(-28)). Let t be (-16)/v*1*-3. Solve -1/2*s**t - 3/2*s**2 + 0 - 3/2*s**3 - 1/2*s = 0 for s.
-1, 0
Let g(i) be the third derivative of -i**5/330 - i**4/44 + 4*i**3/33 - 14*i**2. Find n, given that g(n) = 0.
-4, 1
Suppose 0 = -6*r + 2*r + 8. Factor c**2 + r*c + 2 - 4*c - c.
(c - 2)*(c - 1)
Let y(w) be the third derivative of 5*w**6/72 - w**4/6 + w**3/6 - 3*w**2. Let p(t) be the first derivative of y(t). What is d in p(d) = 0?
-2/5, 2/5
Let b(c) be the first derivative of -c**6/6 + 2*c**5/5 - c**4/4 + 14. Factor b(m).
-m**3*(m - 1)**2
Suppose -13*o + 12*o = -2. Determine j, given that j**3 - 51*j**3 + 25*j**4 + 24*j**2 + 10*j - 3*j**2 - o*j - 4 = 0.
-2/5, 2/5, 1
Let d(q) = 13*q**3 + 9*q**2 + 9*q + 2. Let z(c) = c**3 + c**2 + c. Let w(s) = 2*d(s) - 22*z(s). Factor w(x).
4*(x - 1)**2*(x + 1)
Let d be ((-4)/(-420))/(-4*(-3)/30). Let k(s) be the second derivative of d*s**7 + s - 1/2*s**2 - 1/6*s**6 + 1/2*s**5 - 5/6*s**4 + 0 + 5/6*s**3. Factor k(w).
(w - 1)**5
Let r(y) be the second derivative of y**10/30240 - y**8/6720 - y**4/12 + 9*y. Let w(q) be the third derivative of r(q). Factor w(c).
c**3*(c - 1)*(c + 1)
Let s(r) = r + 2. Let w be s(3). Let u be 2/w - (-8)/5. Factor 3*n**2 - 2*n**u + 0*n**2 + 2*n.
n*(n + 2)
Let o be 2/(1/4*2). Suppose 5*k + 6*b - 98 = o*b, b = -2*k + 40. Suppose 2*r + 10*r**2 - 8*r**3 - 4*r - k*r**2 = 0. Calculate r.
-1/2, 0
Let f(v) = -15*v**4 - 11*v**3 + v**2 - 8*v + 11. Let k(w) = 8*w**4 + 6*w**3 + 4*w - 6. Let y(q) = -6*f(q) - 11*k(q). Factor y(n).
2*n*(n - 1)**2*(n + 2)
Determine m so that -7*m**5 + 5 - 8*m**4 + 3*m**5 - 13 - 4*m + 17*m**2 + 8*m**3 - m**2 = 0.
-2, -1, 1
Let w(f) be the first derivative of -f**7/3360 + f**6/360 - f**5/96 + f**4/48 + f**3 + 1. Let g(d) be the third derivative of w(d). Factor g(c).
-(c - 2)*(c - 1)**2/4
Let d(l) = 1. Let s(a) = -2*a**2 + 4*a - 4. Let q(x) = 2*d(x) + s(x). What is y in q(y) = 0?
1
Let u(p) = 2*p - 14. Let z be u(7). Let g(i) be the second derivative of i - 1/36*i**4 - 1/30*i**5 + 0*i**3 + 0 + z*i**2 - 1/90*i**6. What is v in g(v) = 0?
-1, 0
Let n(m) be the first derivative of m**7/840 - m**6/160 + m**5/240 + m**4/32 - m**3/12 - 7*m**2/2 + 5. Let s(o) be the second derivative of n(o). Factor s(q).
(q - 2)*(q - 1)**2*(q + 1)/4
Let d(k) = -k + 10. Let j be d(15). Let a(p) = 2*p + 10. Let g be a(j). Solve 0*n + 1/5*n**2 + g = 0 for n.
0
Suppose 3*c - 4*z = 22, 3*z = 4*c + 8 - 28. Factor -m - 2*m + 2*m**2 + 2*m**c - 2*m**3 + m.
-2*m*(m - 1)**2
Let d(v) = -v + 3. Let w be d(0). Factor -2*t + t**4 - t**3 + 4*t**w - 1 + 4*t - 5*t**3.
(t - 1)**3*(t + 1)
Suppose 6 = -2*m + 4*m. Suppose 12*w**3 + 9*w - 3 - 13*w**3 + 4*w**m - 9*w**2 = 0. Calculate w.
1
Let o(c) be the second derivative of -c**6/70 - 3*c**5/140 + 3*c**4/28 + c**3/14 - 3*c**2/7 - 6*c. Determine a, given that o(a) = 0.
-2, -1, 1
Let -4*z**2 - 32 + 8*z**2 + 13*z + 15*z = 0. What is z?
-8, 1
Let 10/9*k - 2/9 - 8/9*k**2 = 0. What is k?
1/4, 1
Let h(d) be the third derivative of d**5/60 + d**4/24 - d**3/6 + 2*d**2. Let i be h(-3). What is w in i*w - w**4 - 5*w = 0?
0
Let f = 46 - 91/2. Let z(g) be the second derivative of 3*g + 1/12*g**4 + f*g**3 + g**2 + 0. Find h such that z(h) = 0.
-2, -1
Let 0 - 9/2*d**2 - 3/2*d**3 + 0*d = 0. Calculate d.
-3, 0
Let d(r) = 5*r**2 - 7*r + 2. Let u(n) = 85*n**2 - 120*n + 35. Let f(l) = -35*d(l) + 2*u(l). Factor f(p).
-5*p*(p - 1)
Let t(u) be the third derivative of 0 + 1/480*u**6 + 1/96*u**4 + 0*u + u**2 + 1/120*u**5 + 0*u**3. Factor t(z).
z*(z + 1)**2/4
Suppose -4*o**2 - 2/3*o**3 - 16/3 - 8*o = 0. What is o?
-2
Let v(d) be the third derivative of -d**6/360 - d**5/120 + d**4/12 + 5*d**3/6 + 2*d**2. Let j(x) be the first derivative of v(x). Factor j(l).
-(l - 1)*(l + 2)
Let p = 0 - -2. Factor 15*k**3 + 4*k**4 - 6*k**4 + 6 + 5*k**4 + 21*k + 27*k**p.
3*(k + 1)**3*(k + 2)
Let c(l) be the third derivative of -l**5/510 + 7*l**4/102 - 49*l**3/51 - 3*l**2. Factor c(r).
-2*(r - 7)**2/17
Let m = -4 - 1. Let l = 8 + m. Factor l*x + 6 + 3*x**2 - 2 + x**3 - 3.
(x + 1)**3
Let r(b) be the second derivative of b**4/108 - b**3/54 - b**2/9 + 26*b. Find d, give