se 6/5*i**2 + 0*i - 4/5*i**3 + 0 = 0. Calculate i.
0, 3/2
Let a(t) be the first derivative of -2*t**2 - 2/3*t**3 - 2*t + 2. Determine v, given that a(v) = 0.
-1
Determine k, given that 20*k + 3*k**2 - 9*k - 2*k = 0.
-3, 0
Let m(x) be the first derivative of 0*x + 2/15*x**3 + 3/20*x**4 + 1/25*x**5 - 2 + 0*x**2. What is n in m(n) = 0?
-2, -1, 0
Let u(z) = z**5 + z**3 + z. Let b(q) = 237*q**5 - 1566*q**4 + 3570*q**3 - 3312*q**2 + 1002*q - 96. Let o(m) = b(m) + 6*u(m). Solve o(d) = 0 for d.
2/9, 2
Let m(y) = 3*y**3 + y**2. Let d(g) = -10*g**3 - 3*g**2. Let p(k) = -6*d(k) - 21*m(k). Factor p(u).
-3*u**2*(u + 1)
Let z(w) be the second derivative of -w**5/5 + 3*w**4 - 18*w**3 + 54*w**2 + 30*w. Let z(y) = 0. Calculate y.
3
Let l(u) = -u**3 - u**2. Let b(f) = 5*f**3 + 5*f**2 + f. Let r(c) = -4*b(c) - 22*l(c). Factor r(w).
2*w*(w - 1)*(w + 2)
Let f(r) be the third derivative of 0*r + 1/36*r**4 + 2*r**2 - 1/180*r**6 - 1/90*r**5 + 1/9*r**3 + 0. What is y in f(y) = 0?
-1, 1
Let q be -3 - 10*(-4)/8. Solve 15*t**q - 75*t**3 + 85*t**4 + 34*t**4 - t + 6*t**4 = 0 for t.
0, 1/5
Let h(t) be the first derivative of t**3/3 - t**2 - 5*t + 3. Let o be h(4). Find f such that 3*f**o + 0 + 1/4*f**5 + 0*f + 3/2*f**4 + 2*f**2 = 0.
-2, 0
Let x(i) = i**2 + i. Let y(t) = -8*t - 8. Let f(n) = 4*x(n) - y(n). Find l, given that f(l) = 0.
-2, -1
Let j(c) = -c - 19. Let o be j(-9). Let m = o - -10. Factor -2/7*t**4 + 0 + 0*t**3 + m*t + 2/7*t**2.
-2*t**2*(t - 1)*(t + 1)/7
Let v = -247 - -749/3. Let k(m) be the first derivative of -2 - 2/3*m**4 - 2/15*m**5 + v*m - 2/3*m**3 + 4/3*m**2. Find h such that k(h) = 0.
-2, -1, 1
Suppose 2*d - 8*d = 0. Let x(n) be the second derivative of 3*n - 1/16*n**5 + 1/12*n**3 + 0*n**2 - 1/16*n**4 + d. Factor x(b).
-b*(b + 1)*(5*b - 2)/4
Let -2 + x**2 + 2*x - 1 + 4 = 0. What is x?
-1
Let h(l) be the first derivative of -2*l**3/15 + 2*l**2/15 + 2*l/15 - 15. Solve h(c) = 0 for c.
-1/3, 1
Let c = -10 + 6. Let v be 2/c + (-62)/(-12). Let -4/3*h**2 - 4/3*h**5 + 0 + 0*h - v*h**3 - 14/3*h**4 = 0. Calculate h.
-2, -1, -1/2, 0
Let q(r) be the second derivative of -r**6/70 - 6*r**5/35 - 11*r**4/14 - 12*r**3/7 - 27*r**2/14 - 7*r. What is u in q(u) = 0?
-3, -1
Let s(w) be the first derivative of -w**5/105 + w**4/42 + 4*w**3/21 + 2*w**2 + 1. Let q(z) be the second derivative of s(z). Factor q(t).
-4*(t - 2)*(t + 1)/7
Suppose -g = 4*s + 2, 4*g + 5*s - 50 = -g. Suppose -4*k = 3*k - g. Factor 0*i + 2/9*i**4 + 0 + 4/9*i**k - 2/3*i**3.
2*i**2*(i - 2)*(i - 1)/9
Let b(l) = 2*l**3 - l**2 + 2*l - 1. Let q be b(1). Factor -2*w**2 + 4 - 2*w + 3*w**2 - 3*w**q + 4*w.
-2*(w - 2)*(w + 1)
Let k(d) be the first derivative of -2/3*d**3 - 4 + 2*d + 0*d**2. Solve k(c) = 0.
-1, 1
Let o(t) = -6*t**5 + 26*t**4 - 26*t**3 + 14*t**2 - 8*t - 8. Let l(b) = 2*b**5 - 9*b**4 + 9*b**3 - 5*b**2 + 3*b + 3. Let h(g) = -8*l(g) - 3*o(g). Factor h(u).
2*u**2*(u - 1)**3
Let v(f) = -f + 6. Let r be v(6). Suppose d**2 + 4 - 3 + r - 3 + d = 0. What is d?
-2, 1
Suppose -5 - 1 = 2*d. Let l = d + 7. Factor -l*r**2 - r + r**5 + 2*r + 6*r**3 - 4*r**4 + 0*r**5.
r*(r - 1)**4
Let j(u) = -2*u**3 - 2*u**2 + 2*u - 1. Let b be j(1). Let c be 0/(b - (-5)/1). Factor 0*h**4 + 0 + 2/7*h**3 + c*h**2 - 2/7*h**5 + 0*h.
-2*h**3*(h - 1)*(h + 1)/7
Let v(y) be the first derivative of -y**5/10 + 16. Determine x, given that v(x) = 0.
0
Factor 10/3 + 1/3*b**2 + 7/3*b.
(b + 2)*(b + 5)/3
Suppose 0*y - 8 = -4*y. Solve 2*p**2 - 3*p + 2*p + 3*p + y + 2*p = 0.
-1
Let g(h) be the third derivative of 0 + 1/270*h**5 + 0*h**4 + 0*h**3 + 0*h + h**2. Solve g(n) = 0.
0
Let k = 73/45 - 7/5. Let a(t) be the first derivative of 0*t - 3 - 1/3*t**2 - k*t**3. Suppose a(g) = 0. Calculate g.
-1, 0
Let j(a) be the second derivative of -a + 0 + 1/3*a**3 + 1/24*a**4 + a**2. Let j(w) = 0. What is w?
-2
Let j(o) be the second derivative of o**10/15120 + o**9/3780 - o**8/3360 - o**7/630 - o**4/12 + 4*o. Let p(q) be the third derivative of j(q). Factor p(r).
2*r**2*(r - 1)*(r + 1)*(r + 2)
Let h be (-14)/49 - (-32)/14. Let g(a) be the second derivative of -1/3*a**3 + 1/12*a**4 + a + 0 + 0*a**h. Factor g(k).
k*(k - 2)
Factor -8/7*n**2 + 2/7*n**3 + 0 + 6/7*n.
2*n*(n - 3)*(n - 1)/7
Let z be ((-9)/(-15) + 0)*4/144. Let w(x) be the second derivative of -x + z*x**6 + 0 + 1/80*x**5 - 1/24*x**4 - 1/24*x**3 + 0*x**2. Let w(q) = 0. Calculate q.
-1, -1/2, 0, 1
Suppose -3 = -5*n - 23. Let z(h) = -3*h**2 + 6*h + 1. Let f(a) = -6*a**2 + 12*a + 1. Let t(j) = n*f(j) + 7*z(j). Factor t(d).
3*(d - 1)**2
Find l, given that -1/6*l + 0 + 1/6*l**2 = 0.
0, 1
Suppose -2*u + 5*u - 3*w = 24, -8 = 2*u + 4*w. Let r = -25 + 29. Suppose 4*l**r - 4*l**4 - l**u + l**5 = 0. What is l?
0, 1
Let q(g) be the second derivative of -3/10*g**2 + 0 + 1/10*g**3 + 1/20*g**4 - 3/100*g**5 - 10*g. Factor q(f).
-3*(f - 1)**2*(f + 1)/5
Find m, given that -75*m**2 - 2*m**3 - 77*m**2 - m**4 + 151*m**2 = 0.
-1, 0
Suppose 0*b = 5*b. Find o such that 0*o + 6/5*o**2 + b + 9/5*o**3 = 0.
-2/3, 0
Let u(t) be the third derivative of t**6/1620 - t**5/180 + t**4/54 + t**3/6 - 3*t**2. Let j(b) be the first derivative of u(b). Factor j(v).
2*(v - 2)*(v - 1)/9
Factor 9/2*c**2 - 1/2*c**3 - 1/2*c**4 + 2 - 11/2*c.
-(c - 1)**3*(c + 4)/2
Let t(d) = 5*d**2 + 2*d - 3. Let v be t(1). What is w in -2/7*w**v + 0*w + 0 + 0*w**2 + 2/7*w**3 = 0?
0, 1
Let u(m) be the first derivative of -m**5/210 - m**4/42 - m**3/21 + 5*m**2/2 + 1. Let h(w) be the second derivative of u(w). Factor h(i).
-2*(i + 1)**2/7
Let i = 158/95 + -24/19. Find v such that -2/5*v**2 - i*v + 4/5 = 0.
-2, 1
Let n be (-5)/25 + 57/60. Let t(j) be the first derivative of n*j - 1/12*j**3 + 1/4*j**2 - 3. Factor t(v).
-(v - 3)*(v + 1)/4
Let p(u) = u**4 + u**2 + u + 1. Let d(c) = -7*c**4 + 30*c**3 - 115*c**2 + 176*c - 112. Let f(h) = -d(h) - 4*p(h). Factor f(v).
3*(v - 3)**2*(v - 2)**2
Let o(b) be the third derivative of -b**7/315 + b**6/60 + 7*b**5/90 - 5*b**4/12 - 2*b**3 - 40*b**2. Determine k, given that o(k) = 0.
-2, -1, 3
Let h(v) be the third derivative of -1/48*v**4 + 6*v**2 + 0 + 0*v + 1/24*v**3 + 1/240*v**5. Solve h(m) = 0.
1
Let -18*a**4 - 19/4*a**3 + 1/2*a + 0 + 9/4*a**2 + 20*a**5 = 0. Calculate a.
-1/4, 0, 2/5, 1
Suppose 6*a - 30 = a. Let 6*m**2 - 3*m**5 - m - a*m**4 + 0*m + 4*m = 0. What is m?
-1, 0, 1
Find s, given that -2/15*s**4 + 8/15*s**3 - 4/5*s**2 - 2/15 + 8/15*s = 0.
1
Let k(u) be the first derivative of -u**7/126 + u**6/90 - u - 1. Let d(q) be the first derivative of k(q). Let d(s) = 0. What is s?
0, 1
Let z(n) = 4*n**2 - 6*n - 4. Suppose 0 = g - 3 + 1. Let y(t) = t + 2*t**2 + 1 - 5*t**2 + t**2 + t**g. Let i(w) = -6*y(w) - z(w). Suppose i(k) = 0. Calculate k.
-1, 1
Let w(z) = 5*z**5 + 4*z**4 - 3*z**3 - 2*z**2 + 2*z - 6. Let i(o) = 9*o**5 + 7*o**4 - 5*o**3 - 3*o**2 + 3*o - 11. Let k(t) = -6*i(t) + 11*w(t). Factor k(b).
b*(b - 1)**2*(b + 2)**2
Let j(s) be the third derivative of -s**5/120 - s**4/4 - 3*s**3 + 28*s**2. Factor j(y).
-(y + 6)**2/2
Let v(f) be the third derivative of f**9/30240 + f**8/40320 - f**5/15 - 2*f**2. Let z(j) be the third derivative of v(j). Factor z(n).
n**2*(4*n + 1)/2
Solve 2 + 3*v**4 - 9/2*v**2 - 9/4*v**5 - 3*v + 23/4*v**3 = 0.
-1, 2/3, 2
Suppose -5*m + 197 = -4*q, 4*m + 0*q = 3*q + 157. Let p = -184/5 + m. Find k, given that -1/5 - 2/5*k - p*k**2 = 0.
-1
Let k(p) be the first derivative of -p**3/3 - p**2/2 + 2. Factor k(t).
-t*(t + 1)
Let z(m) be the third derivative of m**5/150 - m**4/15 + 15*m**2. Factor z(k).
2*k*(k - 4)/5
Find m, given that 0 - 2/9*m**2 - 4/9*m = 0.
-2, 0
Factor 12*k**4 + 25*k**4 + 12*k**3 + 14*k**4 + 33*k**3 + 18*k**5 + 9*k**2 - 3*k.
3*k*(k + 1)**3*(6*k - 1)
Let n(d) be the third derivative of 0*d + 1/150*d**5 + 1/600*d**6 + 5*d**2 + 0*d**3 - 1/1680*d**8 + 0*d**4 + 0 - 1/525*d**7. Let n(z) = 0. What is z?
-2, -1, 0, 1
Suppose -35*u = -30*u. Factor -m**2 - 1/2*m + u + 1/2*m**5 + 0*m**3 + m**4.
m*(m - 1)*(m + 1)**3/2
Let a(f) = 2*f**2 - 3. Let d(u) be the second derivative of -u**4/4 + 2*u**2 - u. Let g(t) = 4*a(t) + 3*d(t). Find v, given that g(v) = 0.
0
Factor 4*s**2 - 8*s - 16*s**2 - 4*s**4 - 16*s**3 - 8*s**2.
-4*s*(s + 1)**2*(s + 2)
Let q be 23/(-60) - (-3 - -2). Let r = 1/20 + q. Factor -1/3*l + 0 - 2/3*l**4 + r*l**2 + 0*l**3 + 1/3*l**5.
l*(l - 1)**3*(l + 1)/3
Factor -34*j**2 - 40*j**3 + 61 + 4*j 