vative of -1/5*k**2 - 1/15*k**4 + 0 - k - 1/6*k**3 - v*k**5. Suppose i(l) = 0. What is l?
-2, -1
Let k = 4 - 2. Determine g, given that -2*g**4 + 3*g**2 + g**2 + 6*g**3 + k*g**5 + 8*g**4 - 2*g**2 = 0.
-1, 0
Let j(w) be the third derivative of 3*w**8/112 + 2*w**7/35 - w**6/60 - w**5/15 + w**4/24 - 4*w**2. Determine f, given that j(f) = 0.
-1, 0, 1/3
Suppose 0 = -6*p + 21 + 9. Let c(x) be the third derivative of -1/48*x**4 + 0 + 1/120*x**p + 0*x + 2*x**2 - 1/6*x**3. Find s such that c(s) = 0.
-1, 2
Let u(j) be the third derivative of j**5/48 + 35*j**4/96 + 25*j**3/12 + 9*j**2. Factor u(l).
5*(l + 2)*(l + 5)/4
Let r(v) = -v**4 + v**2 - 1. Let m(n) = -5*n**4 + 9*n**3 - 5*n**2 + n - 1. Let a = 11 + -15. Let h(y) = a*r(y) + 4*m(y). Factor h(b).
-4*b*(b - 1)**2*(4*b - 1)
Let a(i) be the third derivative of i**8/1512 - i**7/945 + 30*i**2. Suppose a(t) = 0. What is t?
0, 1
Suppose -2*a = -15 - 15. Let m(n) = -18*n**4 + 9*n**3 + 15*n**2 + 6*n + 18. Let x(p) = -p**4 + p**3 + p**2 + 1. Let d(o) = a*x(o) - m(o). Factor d(j).
3*(j - 1)*(j + 1)**3
Suppose -16 = -2*s - 6*s. Factor 1/2*o**s - 1/4*o**5 - 5/4*o**3 + 0 + 0*o + o**4.
-o**2*(o - 2)*(o - 1)**2/4
Let b(y) = 2*y**2 + 5*y - 1. Let r(f) = 3*f**2 + 6*f - 1. Let c(h) = -4*b(h) + 3*r(h). Solve c(a) = 0 for a.
1
Let r = -3 - -6. Let d = -3 + r. What is h in 2/5*h**2 + 2/5*h**3 + d + 0*h = 0?
-1, 0
Determine v, given that 4*v**4 - 8*v**2 + 7*v**4 - 9*v**4 = 0.
-2, 0, 2
Let y(v) = -v**3 - 2*v**2 - 3*v + 6. Let r(j) = -j**2 + 1. Let n(p) = 5*r(p) - y(p). Factor n(z).
(z - 1)**3
Let h(o) be the third derivative of 0*o + 1/40*o**6 - 1/112*o**8 + 1/20*o**5 - 1/70*o**7 + 0*o**4 + 0 + 0*o**3 - 5*o**2. Find q, given that h(q) = 0.
-1, 0, 1
Suppose 3*l = -1 + 13. Let w(f) = 17*f**3 - 5*f**2 + 11*f + 11. Let g(p) = 6*p**3 - 2*p**2 + 4*p + 4. Let d(q) = l*w(q) - 11*g(q). Solve d(o) = 0 for o.
-1, 0
Solve 0 + 1/4*z**4 + 1/4*z**3 - 1/4*z**2 - 1/4*z = 0 for z.
-1, 0, 1
Suppose 25*f - 78 + 28 = 0. Let 0 - 2/9*u**3 + 2/9*u + 2/9*u**f - 2/9*u**4 = 0. What is u?
-1, 0, 1
Let h(d) = 4*d**3 - 30*d**2 - 56*d. Let u(a) = a**3 - 10*a**2 - 19*a. Let x(p) = -4*h(p) + 11*u(p). Factor x(w).
-5*w*(w - 3)*(w + 1)
Let u = 10 + -11. Let j be ((-8)/3)/(u/2). Factor j*a**2 - 16/9*a**3 + 32/9 + 2/9*a**4 - 64/9*a.
2*(a - 2)**4/9
Let a = 13 + -11. Factor 5 + 2 - 2*x**a - 5.
-2*(x - 1)*(x + 1)
Suppose w + 4*m + 5 = 2*m, 5*w + 4*m = -1. Find s, given that 3 - w - 2*s - s**2 = 0.
-2, 0
Let c(x) be the second derivative of -x**7/560 + x**6/240 + x**5/80 - x**4/16 - x**3/6 - 2*x. Let u(n) be the second derivative of c(n). Factor u(m).
-3*(m - 1)**2*(m + 1)/2
Factor 0 - 3/5*s + 3/5*s**2.
3*s*(s - 1)/5
Suppose -5*t + r + 1168 + 300 = 0, 1181 = 4*t - 3*r. Let n = t + -2043/7. Factor n - 16/7*w - 10/7*w**2.
-2*(w + 2)*(5*w - 2)/7
Let l(p) = p**2 - 5*p + 6. Let n be l(4). Suppose n*c + 12 = 6*c. Factor -r**2 - 2*r**c - 2*r**4 + 3*r**2 + 2*r + 4*r**3 - 4*r**3.
-2*r*(r - 1)*(r + 1)**2
Suppose -44*y + 39*y + 10 = 0. Determine k, given that 0*k - 7/2*k**3 + 0 - k**y = 0.
-2/7, 0
Let z(c) be the first derivative of -c + 1/30*c**4 - 4 + 1/5*c**2 - 2/15*c**3. Let q(k) be the first derivative of z(k). Factor q(l).
2*(l - 1)**2/5
Suppose 2*x + 232 + 92 = 0. Let m be (-36)/x*(-18)/(-10). Factor 0 + m*p**3 + 4/5*p**2 + 2/5*p.
2*p*(p + 1)**2/5
Suppose 3*g + 4*r = 2, 0 = 3*g + 3*r + 3 - 0. Let f be 6/9 + (-20)/g. Factor -15*x + 13*x + 2*x**3 - 2*x**2 + 2*x**4 + 0*x**f.
2*x*(x - 1)*(x + 1)**2
Factor 22*a**2 + 4*a**4 + 5*a**3 - 6*a**2 - 7*a**3 - 14*a**3.
4*a**2*(a - 2)**2
Let j(h) = 16*h**4 + 17*h**3 - 12*h**2 - 17*h - 7. Let d(y) = 48*y**4 + 52*y**3 - 36*y**2 - 52*y - 20. Let v = -3 + 6. Let r(x) = v*d(x) - 8*j(x). Factor r(w).
4*(w - 1)*(w + 1)**2*(4*w + 1)
Let v be (0 + 1)/((1/(-5))/(-1)). Let f(j) be the third derivative of 0*j + 0 + 5/8*j**4 - 4*j**2 + j**3 - 7/20*j**v. Factor f(u).
-3*(u - 1)*(7*u + 2)
Let z(p) be the third derivative of -p**7/735 + p**5/70 - p**4/42 + 4*p**2 - 3. Factor z(g).
-2*g*(g - 1)**2*(g + 2)/7
Let j(h) be the first derivative of 4*h**3/9 + 8*h**2/3 + 16*h/3 + 38. Factor j(x).
4*(x + 2)**2/3
Solve u + 2*u**4 + 4*u + 0*u - 3*u + 6*u**2 + 6*u**3 = 0.
-1, 0
Let d(o) = 5*o**3 - 30*o**2 + 20*o + 5. Let j(t) = -t**2 + t. Let a(u) = d(u) - 25*j(u). Find l, given that a(l) = 0.
-1, 1
Let s(o) be the first derivative of -4/5*o**4 + 7/25*o**5 - 1 + 0*o + 11/15*o**3 - 1/5*o**2. Factor s(u).
u*(u - 1)**2*(7*u - 2)/5
Let g(x) = -x - 2*x**2 - 2*x**2 + 5 + 5*x**2 - 2 + 4*x**3 + 2*x**4. Let f(y) = -y**4 - y**3 - 1. Let c(i) = -3*f(i) - g(i). Determine r so that c(r) = 0.
-1, 0, 1
Factor -4/11*g + 10/11*g**4 + 0 + 14/11*g**2 - 2/11*g**5 - 18/11*g**3.
-2*g*(g - 2)*(g - 1)**3/11
Let v(a) = -a - 2. Let s be v(-6). Suppose 0 = 5*c - o - 0*o - 18, s*c - 18 = 2*o. Factor 2/5*x**4 + 0*x**2 + 0*x + 2/5*x**5 + 0*x**c + 0.
2*x**4*(x + 1)/5
Factor 36/11 - 6/11*t**3 - 78/11*t + 40/11*t**2.
-2*(t - 3)**2*(3*t - 2)/11
Let h(q) be the first derivative of 2 + 54*q**3 + 3/5*q**5 + 162*q**2 + 9*q**4 + 243*q. Factor h(j).
3*(j + 3)**4
Let k be (2/4*0)/(-1). Let n = 3 - k. Factor -j - 2*j**4 - 4*j**2 - 2*j**4 - j**5 - 7*j**3 + j**n.
-j*(j + 1)**4
Suppose -3*y - 2*y = -10. Let i(v) be the second derivative of 1/3*v**y - 1/45*v**6 + 0*v**4 - 2/9*v**3 + 0 + 2*v + 1/15*v**5. Factor i(c).
-2*(c - 1)**3*(c + 1)/3
Let c(k) be the second derivative of k**4/6 - 2*k**3/3 + k**2 + 6*k. Let c(r) = 0. What is r?
1
Let a(v) be the third derivative of -v**6/30 - 2*v**5/5 - 11*v**4/6 - 4*v**3 + 3*v**2 - 17. Determine t, given that a(t) = 0.
-3, -2, -1
Let n(o) = 26*o**5 + 14*o**4 + 46*o**3 + 26*o**2. Let q(g) = -5*g**5 - 3*g**4 - 9*g**3 - 5*g**2. Let d be 4*2/2*4. Let v(r) = d*q(r) + 3*n(r). Factor v(t).
-2*t**2*(t + 1)**3
Factor -33 + 19 + 12*n + 32 + 3*n**2 - n**2.
2*(n + 3)**2
Factor 3*m**2 - m - 2*m**2 + 5*m - 6 - 3*m.
(m - 2)*(m + 3)
Let x(o) be the second derivative of -o**9/1890 - 13*o**8/3360 - 11*o**7/1260 - o**6/180 - o**4/3 - 2*o. Let l(a) be the third derivative of x(a). Factor l(q).
-2*q*(q + 1)*(q + 2)*(4*q + 1)
Let n = 647 - 647. Find d, given that n*d + 0 + 0*d**2 - 1/6*d**3 = 0.
0
Let q be 5 - (-10)/(8/(-4)). Let j(d) be the second derivative of -1/48*d**4 - 2*d - 1/8*d**2 + 1/12*d**3 + q. Find b, given that j(b) = 0.
1
Let l(t) = t**3 - 19*t**2 - 41*t + 1. Let w(x) = 2 + 8*x + 5*x**2 - 2 - x**2. Let k(o) = 2*l(o) + 11*w(o). Suppose k(i) = 0. Calculate i.
-1
Let b(v) be the first derivative of -5*v**3/3 - 15*v**2/2 + 10. Find o, given that b(o) = 0.
-3, 0
Let j be 16/(-12)*(-3)/11*1. Factor 6/11*y + 0*y**2 - 2/11*y**3 + j.
-2*(y - 2)*(y + 1)**2/11
Let a(x) be the first derivative of -3*x**5/20 - x**4 - 2*x**3 - x + 1. Let f(h) be the first derivative of a(h). Factor f(j).
-3*j*(j + 2)**2
Let r(i) be the first derivative of 0*i**5 - 4 + 1/7*i**4 + 0*i**3 + 0*i - 1/7*i**2 - 1/21*i**6. Determine f so that r(f) = 0.
-1, 0, 1
Factor 0 - 1/2*x - 1/2*x**3 - x**2.
-x*(x + 1)**2/2
Let k(m) be the third derivative of -1/6*m**3 - 1/1980*m**6 + 0*m - m**2 + 0 - 1/132*m**4 - 1/330*m**5. Let j(t) be the first derivative of k(t). Factor j(z).
-2*(z + 1)**2/11
Determine h so that 68*h - 14*h + 2*h**4 + 21*h**3 + 54*h**2 - 5*h**3 + 2*h**3 = 0.
-3, 0
Let x(y) = y**2 + 45*y + 147. Let i(o) = -o**2 - o + 1. Let a(q) = 3*i(q) - x(q). Factor a(u).
-4*(u + 6)**2
Let a(g) = g**2 + 5*g - 5. Let z be a(2). Suppose -4*k = -z*k. Find f such that k*f**3 + 0 + 2/9*f**5 - 2/9*f + 4/9*f**2 - 4/9*f**4 = 0.
-1, 0, 1
Let q(g) be the third derivative of -g**9/30240 - g**8/5040 - g**7/2520 + g**5/720 + g**4/3 + 4*g**2. Let l(j) be the second derivative of q(j). Factor l(x).
-(x + 1)**3*(3*x - 1)/6
Let x(k) be the first derivative of -k**6/24 + k**5/10 + 3*k**4/16 - 41. Factor x(j).
-j**3*(j - 3)*(j + 1)/4
Let n be 2/(-8) - 1/(-4). Let p be 3/2*(n + 2). Let 2/5*k**4 + 2/5 - 4/5*k**2 + 0*k**p + 0*k = 0. What is k?
-1, 1
Let 0 - 4/3*o - 2/3*o**2 = 0. Calculate o.
-2, 0
Let l = -12441/5 - -1605137/645. Let k = l - -2/129. Find q, given that k + 8/5*q**2 + 2*q = 0.
-1, -1/4
Suppose 33 = 4*w + 9. Let l(z) = 2*z - 8. Let r be l(w). Find c, given that -c**3 - 4*c**4 + c**5 - c**4 + c**2 + r*c**4 = 0.
-1, 0, 1
Let o be (-21)/(-70) + 68/40. Find a such that -4/5*a + 4/5 + 1/5*a**o = 0.
2
Let r(t) be the third deri