2. Solve 0*n - 1/3*n**5 - p*n**2 - 5/6*n**4 - 2/3*n**3 + 0 = 0 for n.
-1, -1/2, 0
Let j be (2/(-4))/(10/(-80)). Suppose 0*p**3 + 2/11 + 2/11*p**j + 0*p - 4/11*p**2 = 0. What is p?
-1, 1
Let x(n) be the second derivative of -n**4/6 + 7*n**3/3 + 8*n**2 + 11*n. Solve x(r) = 0 for r.
-1, 8
Let k(j) = -4*j - 16. Let l be k(-7). Suppose 2*q**2 + 8 + 4*q**4 - 2*q**2 - 8*q**3 - l + 8*q = 0. What is q?
-1, 1
Let o = 17 + -13. Suppose 3*s + 0 + 6 = 0, 0 = -4*u - o*s. Find l such that -4/7*l + 8*l**5 - 110/7*l**4 + 0 + 48/7*l**3 + 10/7*l**u = 0.
-2/7, 0, 1/4, 1
Suppose 2*h = 1 + 3. Factor -5 + 2*l**2 - 3*l**3 + 3*l - 1 + 0*l + 4*l**h.
-3*(l - 2)*(l - 1)*(l + 1)
Let r(o) be the third derivative of -o**6/200 - o**5/100 + 2*o**2 + 7*o. Determine n so that r(n) = 0.
-1, 0
Factor -11*y**4 - 4*y**5 + y**5 - 86*y**2 - 6*y**3 + 86*y**2.
-y**3*(y + 3)*(3*y + 2)
Let p(m) be the first derivative of 4*m**3/3 + 6*m**2 - 16*m + 1. Factor p(j).
4*(j - 1)*(j + 4)
Let h be (1 + 12)/(-1 + 2). Let q = h - 9. Factor 9*i**2 - 6*i**3 - i**2 + 2*i**4 - q*i**2.
2*i**2*(i - 2)*(i - 1)
Suppose -2*t**2 + 10*t + 5*t**3 - 4*t**3 - 10*t = 0. Calculate t.
0, 2
Let c(j) be the first derivative of -1/5*j**3 + 2 + 3/5*j + 0*j**2. Factor c(z).
-3*(z - 1)*(z + 1)/5
Let t = -4 - -3. Let z(g) = -10*g**4 - 2*g**3 - 12*g. Let j(s) = s**4 + s. Let p(b) = t*z(b) - 12*j(b). Factor p(q).
-2*q**3*(q - 1)
Suppose s = -3*s + 24. Let k(w) = -1 + 2*w**2 - 3*w**2 - 4*w + 0*w**2 + s*w**2. Let d(t) = -4*t**2 + 3*t + 1. Let v(l) = 6*d(l) + 5*k(l). Solve v(y) = 0.
1
Let g(q) = -2*q**3 + 13*q**2 - 10*q + 4. Let r(y) = y**3 - 6*y**2 + 5*y - 2. Let s(f) = -2*g(f) - 5*r(f). Determine t so that s(t) = 0.
1, 2
Let j(k) = k + 2. Let a be j(0). Let 0*r**a - 2*r**2 + 2 + 2*r - 3*r**3 + r**3 = 0. Calculate r.
-1, 1
Find z such that -1/6*z**2 + 0 - 1/2*z = 0.
-3, 0
Suppose 2/7 + 4/7*d + 2/7*d**2 = 0. Calculate d.
-1
Factor 4 + 7*j - 7*j - 3*j - j**2.
-(j - 1)*(j + 4)
Let u(i) = -i**3 - 4*i**2 - 2*i - 3. Let z be u(-4). Factor -z*j**2 + 4*j**3 - j**4 - 4*j**4 + 2*j + 4*j**4 + 0*j**4.
-j*(j - 2)*(j - 1)**2
Let p(d) be the third derivative of 1/330*d**5 - d**2 + 1/132*d**4 + 0 + 0*d**3 + 0*d. Factor p(u).
2*u*(u + 1)/11
Let r be (2/7)/(15/63). Factor -r*d**3 + 0*d - 8/5 + 14/5*d**2.
-2*(d - 2)*(d - 1)*(3*d + 2)/5
Let z be 12/8*8/6. Factor 11*o**2 - 11*o + 14*o**4 - 21*o**3 + z + 5*o**2 + 8*o**2 - 3*o**5 - 5*o**3.
-(o - 1)**4*(3*o - 2)
Let s(q) be the first derivative of q**9/13608 + q**8/1512 + 2*q**7/945 + q**6/405 - q**3 - 1. Let r(o) be the third derivative of s(o). Factor r(a).
2*a**2*(a + 1)*(a + 2)**2/9
Let i be (16/6 + -2)/((-90)/(-27)). Let t(y) be the first derivative of i*y**4 + 2/25*y**5 - 2/5*y**2 + 4 - 2/5*y + 0*y**3. Factor t(d).
2*(d - 1)*(d + 1)**3/5
Let h = 4 - 4. Let b = h + -1. Let z(p) = p**3 + p - 1. Let k(n) = 4*n**3 - 12*n**2 + 26*n - 18. Let v(w) = b*k(w) + 2*z(w). Let v(r) = 0. What is r?
2
Let w(g) be the first derivative of 0*g - 1/22*g**4 - 2 + 0*g**2 - 2/33*g**3. Suppose w(u) = 0. Calculate u.
-1, 0
Let u be (1 - 2)*(-24)/(-8). Let h be u + 1 + (-110)/(-40). Find v, given that -1/2*v**2 - h*v + 3/4*v**4 - 1/4 + 1/2*v**3 + 1/4*v**5 = 0.
-1, 1
Suppose m + 0 + 7 = 4*x, 5*m = -4*x + 13. Determine y so that 2/7*y**x - 4/7*y + 2/7 = 0.
1
Let d(u) be the first derivative of 0*u + 1/3*u**3 + 0*u**2 + 2. Factor d(m).
m**2
Solve 0*r + 22/3*r**3 + 6*r**4 + 4/3*r**2 + 0 = 0.
-1, -2/9, 0
Let n(c) be the third derivative of -c**7/525 + c**5/75 - c**3/15 + 4*c**2. Solve n(t) = 0 for t.
-1, 1
Let g(q) = -q**3 - 13*q**2 + 19*q - 11. Let i(c) = 12*c**2 - 18*c + 10. Let m(p) = -2*g(p) - 3*i(p). Find x, given that m(x) = 0.
1, 2
Let r(h) be the third derivative of h**5/660 - 16*h**2. Factor r(f).
f**2/11
Suppose 0 = 51*j - 39*j - 24. Factor -1/2*o**3 + 3/2*o**j + 1/2 - 3/2*o.
-(o - 1)**3/2
Factor 2/17*l - 4/17 - 6/17*l**3 + 8/17*l**2.
-2*(l - 1)**2*(3*l + 2)/17
Let c(w) = -6*w**2 - 3*w - 1. Let p(y) = y**2 + y. Suppose 28 = 4*l + 2*f, 6*l - 3*l = -f + 19. Let h(o) = l*p(o) + c(o). What is s in h(s) = 0?
1
Let w = -4 - -2. Let x be (-1 + 2)/(w/(-4)). Factor -g**2 + 4*g - g - x*g.
-g*(g - 1)
Let p be (38/36 + -1)/((-8)/(-12)). Let g(a) be the first derivative of -1/9*a**3 + 1/15*a**5 + 0*a - 1/18*a**6 + 0*a**2 + p*a**4 + 3. Let g(i) = 0. What is i?
-1, 0, 1
Let y(m) = 11 - 11 - 2*m. Let j be y(-2). Determine k, given that 4/7*k**2 - 6/7*k**3 + 0 + 0*k + 6/7*k**5 - 4/7*k**j = 0.
-1, 0, 2/3, 1
Let x(l) be the third derivative of 0*l - l**2 + 1/240*l**5 + 1/48*l**4 - 1/24*l**3 + 0 - 1/240*l**6. Factor x(a).
-(a - 1)*(a + 1)*(2*a - 1)/4
Let y(u) be the third derivative of u**5/12 + 25*u**4/24 - 5*u**3 + 14*u**2. Factor y(v).
5*(v - 1)*(v + 6)
Find u such that 8 + 10*u**2 - 7*u - 12*u**2 - 2 + 3*u = 0.
-3, 1
Let l be -2 - (-2 - -1 - 3). Let o(u) be the first derivative of -1 - 2/5*u**5 + 4/3*u**3 + 0*u**2 + 0*u**4 - l*u. Solve o(a) = 0 for a.
-1, 1
Let a(v) be the third derivative of v**5/12 - 5*v**4/3 + 40*v**3/3 - 28*v**2. Factor a(s).
5*(s - 4)**2
Suppose 3*k - 4*s + 22 = -1, s = -4*k + 1. Let y be -2 + 6 - 0/k. Factor -5*j**2 + 3*j**2 - j**2 - 3*j**y - 7*j**3 + j**3.
-3*j**2*(j + 1)**2
Let t(k) = 3*k**4 + 9*k**3 + 3*k**2 - 3*k + 12. Let z(u) = -5*u**4 - 18*u**3 - 5*u**2 + 7*u - 23. Let p = 33 - 27. Let g(s) = p*z(s) + 11*t(s). Factor g(i).
3*(i - 2)*(i - 1)**2*(i + 1)
Let b(w) = -w**3 + 4*w**2 + w - 4. Let f be b(4). Suppose 0*t + t - 2 = f. Let -3*p - p**3 + 2*p + 3*p**2 - 3*p**t - 2*p**2 = 0. Calculate p.
-1, 0
Let q be (24/(-30))/((-2)/(-20)). Let v be 3 - q/36*-12. Solve v*a**2 + a**4 + 1/3*a**5 + 0 + 0*a + a**3 = 0 for a.
-1, 0
Let r(a) = a**3 + 7*a**2 + 6*a + 3. Let h be r(-6). Suppose -1 = 2*s + 1, -4*s + 12 = 4*q. Suppose -4*n**4 + 6*n**2 + 0*n**3 - 5*n**q - 3*n**h = 0. Calculate n.
-1, 0, 2/3
Let p(d) be the second derivative of -3*d**5/20 + 3*d**4/4 + 9*d**3/2 + 15*d**2/2 - 23*d. Factor p(g).
-3*(g - 5)*(g + 1)**2
Let 4*v - 28*v**4 - 4*v + 31*v**4 - 3*v**2 - v**3 + 2*v - v**5 = 0. What is v?
-1, 0, 1, 2
Solve 9/7*d**2 + 3/7*d**3 + 3/7 + 9/7*d = 0 for d.
-1
Factor 1/4*w**3 + 0*w - 1/2*w**2 + 0.
w**2*(w - 2)/4
Let a = 12 - 4. Suppose 0 = -5*s + 12 + 3. Let 0*i**3 + 0*i**3 + i**2 - i**4 - 9*i**3 + a*i**s + i**5 = 0. What is i?
-1, 0, 1
Let r(w) be the third derivative of -w**7/5040 - w**6/480 - w**5/120 - w**4/24 + 6*w**2. Let b(n) be the second derivative of r(n). Factor b(m).
-(m + 1)*(m + 2)/2
Let o(k) be the third derivative of k**7/840 + k**6/240 - k**5/30 + 29*k**2. Factor o(j).
j**2*(j - 2)*(j + 4)/4
Let w = 5 - 5. Let j(z) be the second derivative of 0*z**2 + 5/126*z**7 + 0*z**3 - 1/18*z**4 + 4/45*z**6 - 2*z + 1/60*z**5 + w. Factor j(k).
k**2*(k + 1)**2*(5*k - 2)/3
Let v = -3 - -7. Suppose w + v*a - 6 = 0, 5*w - a = -2*a + 11. Factor -2/7*i**4 + 0*i + 0*i**w - 4/7*i**3 + 0.
-2*i**3*(i + 2)/7
Suppose -2*t = 2*f - 2, 5 = -3*t - 2*f - 3*f. Suppose -y = -2*g - 9, 4*y - 19 - 11 = t*g. What is r in 3*r**2 - 4*r**4 + 2*r - 2 - y*r**3 + 3*r**3 + 3*r**2 = 0?
-1, 1/2, 1
Let l = -159 + 162. Factor 0*k + 2/3*k**2 + 0 + 2/3*k**l.
2*k**2*(k + 1)/3
Factor 6/11*y**2 + 0 + 30/11*y.
6*y*(y + 5)/11
Let a = 0 - 6. Let n be a*(-3 - (-10)/4). Solve 2*p + 0*p**3 - 9*p**2 + 4*p**3 + 3*p**n = 0 for p.
0, 2/7, 1
Let j(q) be the second derivative of -q**5/10 + 9*q. Factor j(h).
-2*h**3
Determine v, given that 7*v**3 + 18*v**5 - 3*v**3 + 4 - 4 - 22*v**4 = 0.
0, 2/9, 1
Let p be ((-55)/(-10) - 4)/(10 + -1). Find t such that 1/6*t**3 + 0*t**2 + 0 - p*t = 0.
-1, 0, 1
Suppose -40 + 60 = 4*o. Let d(t) be the second derivative of 1/75*t**6 + 0 - 1/210*t**7 + 7/30*t**3 - 1/5*t**2 + 4*t - 2/15*t**4 + 1/50*t**o. Factor d(s).
-(s - 1)**4*(s + 2)/5
Let k(q) be the second derivative of 0 + 0*q**2 + 1/30*q**6 + 6*q + 1/4*q**4 + 1/6*q**3 + 3/20*q**5. Factor k(c).
c*(c + 1)**3
Let f(y) be the third derivative of -y**5/15 + 2*y**4/3 - 5*y**2. Solve f(h) = 0 for h.
0, 4
Let n = 10 - 12. Let f = n + 8/3. Determine y so that f*y**2 + 7/3*y**3 + 0*y + 0 = 0.
-2/7, 0
Let f(s) be the second derivative of -1/165*s**6 + 0*s**4 + 0*s**2 + 0 + 3*s - 4/33*s**3 + 3/110*s**5. Suppose f(r) = 0. What is r?
-1, 0, 2
Let s be 10/3 - 2/(-3). Find k such that k + 2*k**s - 3*k**4 + 58*k**3 - 59*k**3 + 3*k**2 - 2 = 0.
-2, -1, 1
Let n be 9/2 + (-3)/(-6). Factor