/350*n**7 - 1/40*n**4 + 0*n + n**2 + 1/300*n**6 + 0 + 1/1680*n**8 + 1/150*n**5 + 1/30*n**3. Find v, given that r(v) = 0.
-1, 1
Factor 2/5*l + 1/5*l**2 + 1/5.
(l + 1)**2/5
Let o(m) = -57*m**3 + 2 - 3*m - 35*m**4 - 26*m**2 + 7*m**4 + 6*m. Suppose 1 = -5*d - 4. Let p(t) = t**2. Let f(g) = d*o(g) + 2*p(g). Factor f(q).
(q + 1)**2*(4*q - 1)*(7*q + 2)
Let d(z) be the third derivative of -z**5/210 - 5*z**4/84 - 20*z**2. Solve d(k) = 0 for k.
-5, 0
Let o be ((-1)/6)/(19/(-38)). Factor -9*h - 3*h**2 - 9 - o*h**3.
-(h + 3)**3/3
Let t = 89 + -87. Let 0 - 2/13*o**t + 0*o = 0. What is o?
0
Let c(r) be the first derivative of -1 + 2/9*r**3 + 2/3*r + 2/3*r**2. Factor c(f).
2*(f + 1)**2/3
Suppose 0 = -z + 3*z - 6*z. Find y, given that 0*y**2 + z*y + 0 - 2/9*y**3 = 0.
0
Suppose 3*k + 12 = n + 5*k, 25 = 5*n + 3*k. Let z(p) be the first derivative of 0*p - 1/2*p**n - 1/3*p**3 - 1. Factor z(l).
-l*(l + 1)
Let y be ((-2)/5)/(7/840). Let b be ((-1)/(-8))/((-36)/y). Factor 1/6*a**4 + b*a**3 + 0 - 1/6*a - 1/6*a**2.
a*(a - 1)*(a + 1)**2/6
Let l = 2/35 - -3/35. Let k(u) be the first derivative of l*u**2 + 4/21*u**3 + 0*u + 1/14*u**4 + 2. Factor k(r).
2*r*(r + 1)**2/7
Let g(b) be the third derivative of 1/4*b**4 + 3*b**2 + 0*b + 2/3*b**3 + 1/30*b**5 + 0. Factor g(f).
2*(f + 1)*(f + 2)
Let j(u) be the third derivative of 0*u**6 + 1/120*u**5 - 1/96*u**4 + 0*u - 1/420*u**7 + 1/1344*u**8 + 0*u**3 + 0 - 5*u**2. Factor j(y).
y*(y - 1)**3*(y + 1)/4
Suppose 3*n - 5*u = -0*n + 16, -3*n = 2*u - 2. Let o(x) be the second derivative of 0*x**n + 0 - 1/6*x**4 - 1/3*x**3 - x. Find h such that o(h) = 0.
-1, 0
Let y(r) be the first derivative of -r**6/10 - 33*r**5/25 - 3*r**4/2 + 106*r**3/5 - 399*r**2/10 + 147*r/5 + 34. Factor y(c).
-3*(c - 1)**3*(c + 7)**2/5
Let r = -61 - -40. Let f(c) = 3*c**3 + 8*c**2 - 5*c - 6. Let a(p) = 30*p**3 + 81*p**2 - 51*p - 60. Let s(l) = r*f(l) + 2*a(l). Factor s(g).
-3*(g - 1)*(g + 1)*(g + 2)
Let j(x) be the second derivative of 0*x**3 - 1/15*x**6 + 0 + 1/10*x**5 + 1/3*x**4 + 0*x**2 - 2*x. Factor j(l).
-2*l**2*(l - 2)*(l + 1)
Let x(s) = s**2 + 3*s. Let t be x(-3). Let n(a) be the third derivative of t*a - 1/18*a**4 - 1/9*a**3 - a**2 - 1/90*a**5 + 0. Factor n(j).
-2*(j + 1)**2/3
Let 3/4*u**4 + 0 - 1/4*u**5 + 0*u**3 + 0*u - u**2 = 0. What is u?
-1, 0, 2
Let z(t) = 2*t**5 + 4*t**4 + 4*t. Let g(w) = -3*w**5 - 5*w**4 - 5*w. Let m(h) = -4*g(h) - 5*z(h). Solve m(c) = 0 for c.
0
Let n(c) = 6*c**3 + 13*c**2 - 7*c. Let z(h) = -7*h**3 - 14*h**2 + 6*h. Let f(r) = -2*n(r) - 3*z(r). Find o such that f(o) = 0.
-2, 0, 2/9
Let j(d) be the second derivative of d**6/10 - d**4/4 - 9*d. Factor j(z).
3*z**2*(z - 1)*(z + 1)
Factor -1/4*p + 1/4*p**3 + 1/4*p**2 - 1/4.
(p - 1)*(p + 1)**2/4
Let s(n) = -20*n**2 - 28*n + 50. Let o(r) = -r**3 + 21*r**2 + 27*r - 50. Let c(g) = -2*o(g) - 3*s(g). Factor c(y).
2*(y - 1)*(y + 5)**2
Let g = 105 + -313/3. Factor -2/3*p - g*p**2 + 0.
-2*p*(p + 1)/3
Let p(l) be the first derivative of l**5/30 + l**4/8 + l**3/18 - l**2/4 - l/3 - 14. Factor p(r).
(r - 1)*(r + 1)**2*(r + 2)/6
Let a(l) be the third derivative of 0*l**4 + 0*l + 0 + 0*l**3 + 1/40*l**6 + 0*l**5 + 8*l**2 - 1/32*l**8 + 1/28*l**7. Factor a(d).
-3*d**3*(d - 1)*(7*d + 2)/2
Let o(y) be the first derivative of 2*y**6 + 44*y**5/5 + 15*y**4 + 12*y**3 + 4*y**2 + 11. Solve o(c) = 0 for c.
-1, -2/3, 0
Let o(m) = 9*m**4 - 19*m**3 - 7*m**2 + 3*m - 2. Let g(p) = -p**3 - p. Let k(w) = -24*g(w) + 3*o(w). Factor k(i).
3*(i - 1)**2*(i + 1)*(9*i - 2)
Let m be ((-15)/3)/(-5)*(-5)/(-4). Find x such that -1/4*x + m*x**2 + 0 = 0.
0, 1/5
Let u(d) = d**2 - 5*d + 3. Let b be u(5). Let w**3 - 3*w**2 - b - 3*w - 2*w**3 + 2 = 0. What is w?
-1
Let w be (40/3)/5 + (-29)/(-87). Suppose -6/5*i**2 - 3/5*i - 3/5*i**w + 0 = 0. What is i?
-1, 0
Let l(q) be the second derivative of q**7/147 - q**6/35 + 3*q**5/70 - q**4/42 - 3*q. Find o such that l(o) = 0.
0, 1
Let q = -3 - -6. Let r be (q - 1) + 5 + 1. Factor 3*z**2 - z**2 + 4*z**3 - r*z**3 + 2*z**4.
2*z**2*(z - 1)**2
Let l(q) be the second derivative of -q**6/60 - 3*q**5/40 + q**4/12 + q**3 + 2*q**2 - 8*q. Factor l(u).
-(u - 2)*(u + 1)*(u + 2)**2/2
Let s(o) = -3*o**3 + 9*o**2 - 7*o + 1. Let u(b) = 0*b + b - 2*b + 0*b + 1. Let g(l) = -s(l) - 2*u(l). Factor g(w).
3*(w - 1)**3
Suppose 4*b = y + 17, 14 = 3*b - y + 2. Let a = -2 + b. Solve -2*p - 6*p**3 + a*p**2 - 9*p**2 - 4*p**4 + 2*p**4 = 0.
-1, 0
Let g = -5 - -76/15. Let o(a) be the first derivative of -4/15*a**3 - 1/5*a**4 + 2 + g*a**6 + 1/5*a**2 + 2/5*a + 2/25*a**5. Factor o(f).
2*(f - 1)**2*(f + 1)**3/5
Let r(i) be the first derivative of i**6/540 - 2*i**5/135 + i**4/36 + 2*i**2 - 6. Let l(y) be the second derivative of r(y). Factor l(m).
2*m*(m - 3)*(m - 1)/9
Let l(m) = -5*m**5 + m**4 - 35*m**3 - 12*m**2. Let h(q) = q**5 + 6*q**3 + 2*q**2. Let r(j) = 34*h(j) + 6*l(j). Determine d so that r(d) = 0.
-2, -1/2, 0, 1
Let v(r) be the first derivative of 2/21*r**3 - 3 + 0*r + 2/35*r**5 + 0*r**2 - 1/7*r**4. Factor v(m).
2*m**2*(m - 1)**2/7
Let l(k) be the second derivative of -9/10*k**5 + k**2 - 3*k - 7/3*k**3 + 5/2*k**4 + 0. Factor l(v).
-2*(v - 1)*(3*v - 1)**2
Let b(d) be the third derivative of -d**7/840 + d**5/20 + d**4/6 - 15*d**2 + 1. Factor b(q).
-q*(q - 4)*(q + 2)**2/4
Let z(d) = -d**2 - 5*d + 16. Let s be z(2). Factor 0*f - 1/2 + 3/2*f**s - f**3.
-(f - 1)**2*(2*f + 1)/2
Suppose -3*r + 17 = -5*f, -3*f + 4*r = r + 9. Let y be (-2)/(-5) - f/(-35). Factor -y + 2/7*m**2 + 0*m.
2*(m - 1)*(m + 1)/7
Let p(r) be the first derivative of r**4/22 + 2*r**3/11 - 8*r/11 - 13. Factor p(d).
2*(d - 1)*(d + 2)**2/11
Let s(h) = -h**2 - 4*h - 12. Let o(i) = -1. Let f(c) = -36*o(c) + 4*s(c). Factor f(k).
-4*(k + 1)*(k + 3)
Determine n, given that 4*n**2 + 8*n + 8*n**3 - 6*n - 6*n**3 = 0.
-1, 0
Let j be 2*-1 - -1*4. Factor r - 3*r**j + 2*r**4 + r - r**4.
r*(r - 1)**2*(r + 2)
Let l = -5 + 7. Let z = 23 - 111/5. Solve z + 14/5*k + 2/5*k**4 + 18/5*k**2 + l*k**3 = 0 for k.
-2, -1
Let t be (-35)/(-15) - (-1)/(-3). Determine w so that -t + 4 + 2*w**2 - 2 = 0.
0
Suppose 4*n**2 + 9*n**2 - 22*n**2 + 3*n**3 + 12 = 0. What is n?
-1, 2
Let w(l) = l**2. Suppose 5*q - 47 = -2*m, 3*m - 1 = 2. Let n(p) = 5*p**3 + q*p**2 - 4*p + 7*p - 2*p - 2. Let t(j) = -n(j) + w(j). Suppose t(o) = 0. What is o?
-1, 2/5
Suppose 4*r - 2 - 2 = 0. Factor m**4 - 2*m**3 + 0 - 2 + r + 2 + m - 2*m**2 + m**5.
(m - 1)**2*(m + 1)**3
Let i(h) be the first derivative of -h**4/16 - h**3/3 - 5*h**2/8 - h/2 + 26. Factor i(w).
-(w + 1)**2*(w + 2)/4
Determine o so that 25/3*o**2 + 0 - 10*o = 0.
0, 6/5
Let s(l) = -6*l**2 + 6*l + 17. Let u(h) = 3*h**2 - 3*h - 9. Let p(f) = 3*s(f) + 5*u(f). Factor p(q).
-3*(q - 2)*(q + 1)
Let b(m) be the first derivative of 3/14*m**2 + 0*m - 3 + 1/7*m**3. Let b(p) = 0. Calculate p.
-1, 0
Let f(i) be the third derivative of -i**6/1080 - i**5/180 - i**4/72 - i**3/6 + 3*i**2. Let y(h) be the first derivative of f(h). Determine j so that y(j) = 0.
-1
Suppose -3*i**4 - 15*i**2 - 17*i**3 - 35*i + 5*i**3 + 29*i = 0. Calculate i.
-2, -1, 0
Let p(q) be the third derivative of -q**7/180 - q**6/360 + 7*q**5/360 + q**4/72 - 2*q**2 + 25*q. What is a in p(a) = 0?
-1, -2/7, 0, 1
Let y(l) be the second derivative of -l**5/60 - l**4/9 + 11*l**3/18 - l**2 - l. Factor y(f).
-(f - 1)**2*(f + 6)/3
Let i(b) be the third derivative of b**8/1176 - 2*b**7/735 + b**6/420 + 13*b**2. What is y in i(y) = 0?
0, 1
Factor -298 - 1475 + 524 - 938 - 3*w**3 - 729*w - 81*w**2.
-3*(w + 9)**3
Let b be 33 - 31 - (3 - 6). Determine t so that 3/2*t**b + 0*t + 0*t**2 + 0*t**3 + 3/2*t**4 + 0 = 0.
-1, 0
Let f = -1679/42 - -40. Let m(k) be the third derivative of -1/210*k**5 - 1/210*k**6 - 3*k**2 + f*k**4 + 0*k + 1/21*k**3 + 0. Suppose m(j) = 0. Calculate j.
-1, -1/2, 1
Suppose -5*c + 0*c + 150 = 0. Let c*l + 1 - 24*l - 2*l**2 - 5 = 0. What is l?
1, 2
Let w(a) = -a. Let k(z) = -3*z. Let x(o) = 4*k(o) - 10*w(o). Let m be x(-1). Solve -y + y**m - 3*y**2 + 3*y**2 + 2*y**3 = 0.
-1, 0, 1/2
Let u(x) be the second derivative of 0*x**2 - 1/3*x**4 - 6*x + 0 + 1/3*x**3 + 1/10*x**5. Suppose u(w) = 0. Calculate w.
0, 1
Let j(w) be the third derivative of -3*w**8/280 - 13*w**7/350 + 3*w**6/50 + 51*w**5/100 + 11*w**4/10 + 6*w**3/5 + 4*w**2. Find t such that j(t) = 0.
-3/2, -1, -2/3, 2
Let p be (-328)/(-60)*1/2. L