) - 3*v(t). Solve k(g) = 0.
-1, 8
Let o(t) be the first derivative of 25*t**6/27 - 22*t**5/9 + 19*t**4/18 + 46*t**3/27 - 8*t**2/9 - 8*t/9 - 39. Determine w so that o(w) = 0.
-2/5, 1
Solve 12*k**4 - 116/3*k**3 - 4/3*k**5 + 32/3 + 172/3*k**2 - 40*k = 0.
1, 2, 4
Let i be (-32)/(-1320)*11*12. Factor -4/5*p**2 - 32/5*p - i + 12/5*p**3.
4*(p - 2)*(p + 1)*(3*p + 2)/5
Let r = -1959 - -1967. Let w(k) be the first derivative of 4/27*k**3 + 1/9*k**2 - r + 0*k + 1/18*k**4. Factor w(x).
2*x*(x + 1)**2/9
Let c(s) be the third derivative of 1/192*s**6 + 0 - 1/2688*s**8 - 4*s**2 + 5/96*s**5 - 1/336*s**7 + 0*s + 1/3*s**3 - 5/24*s**4. Determine z so that c(z) = 0.
-4, 1
Suppose 36/7 - 2*d - 2/7*d**2 = 0. What is d?
-9, 2
Let h be ((-16)/3*(-54)/12)/2. Let c be (-1)/(h/9 + 0) - -1. Suppose 1 + 3/2*y**3 + 13/4*y**2 + 3*y + c*y**4 = 0. Calculate y.
-2, -1
Suppose -4*v = 4*v - 128. Let r be ((v/(-78))/2)/(12/(-36)). Factor 0 - r*k - 2/13*k**2.
-2*k*(k + 2)/13
Suppose -2*g = -3*f - 2, -2*g + 3 = -5. Let a = f + 0. Factor 0 - 1/2*i**5 + 0*i**a + 0*i + 1/2*i**4 + i**3.
-i**3*(i - 2)*(i + 1)/2
Determine q, given that -1504480*q**2 - 1261*q**4 - 256000 - 12*q**5 + 1260800*q + q**5 - 1719*q**4 - 14*q**5 - 117604*q**3 = 0.
-40, 2/5
Factor -15/8*z + 3*z**2 - 3/8*z**3 - 75/4.
-3*(z - 5)**2*(z + 2)/8
Solve -1/3*h**3 + 0*h + 0 + 2/3*h**2 = 0 for h.
0, 2
Let r(g) = 2*g**4 - g**3 + 2*g**2 - g + 1. Let b(n) = -9*n**4 + 36*n**3 - 51*n**2 - 78*n - 3. Let f(j) = b(j) + 3*r(j). Factor f(p).
-3*p*(p - 9)*(p - 3)*(p + 1)
Let l(n) be the second derivative of -n**4/102 - 10*n**3/51 - 16*n**2/17 + 3*n - 78. Suppose l(w) = 0. Calculate w.
-8, -2
Suppose -3*k = 5*n - 13, 2*n = 3*k + 2*k + 30. Let y(m) = -2*m**2 - 3*m - 1. Let z(j) = -2*j**2 - 4*j - 2. Let h(o) = n*z(o) - 6*y(o). Factor h(u).
2*(u - 2)*(u + 1)
Suppose -18*v = -47*v. Let j(x) be the first derivative of 0*x + 1/36*x**6 - 1/12*x**2 - 9 + v*x**4 - 1/9*x**3 + 1/15*x**5. Factor j(h).
h*(h - 1)*(h + 1)**3/6
Let v(c) be the third derivative of c**6/60 - 7*c**5/15 + 16*c**4/3 - 32*c**3 + 13*c**2 - 2*c. Determine o so that v(o) = 0.
4, 6
Let r = 1 + 1. Let y be 0 - (12/(-45))/(-1 + 25/15). Factor y + 4/5*b + 2/5*b**r.
2*(b + 1)**2/5
Factor -2/19*c**2 - 74/19*c + 156/19.
-2*(c - 2)*(c + 39)/19
Let b(v) be the first derivative of -5*v**7/21 + 4*v**6/5 - 2*v**5/5 + 3*v + 9. Let q(y) be the first derivative of b(y). Factor q(x).
-2*x**3*(x - 2)*(5*x - 2)
Suppose 0*q + 12 = 3*q. Factor 6*l**3 - 2*l**5 + 4*l**3 + 6*l**2 - l**q + 3*l**4.
-2*l**2*(l - 3)*(l + 1)**2
Let r = -307 + 311. Suppose -2*i - l = -11, 3*l + 8 = r*i + 11. Determine o so that 2/7*o**5 + 0 + 4/21*o**4 - 4/21*o**2 + 0*o - 2/7*o**i = 0.
-1, -2/3, 0, 1
Let j(y) = -4*y**2 + 12*y - 2. Let n(a) = 3 + 4*a**2 + 2*a - 27*a + 7*a + 6*a. Let g(x) = 3*j(x) + 2*n(x). Factor g(v).
-4*v*(v - 3)
Factor 3/5*o**2 - 27/5*o**3 + 33/5*o**4 + 3/5*o + 0 - 12/5*o**5.
-3*o*(o - 1)**3*(4*o + 1)/5
Factor 7*c + c**5 + 13*c**3 - c**2 - 7*c**4 - 43*c + 4*c**2 + 18*c.
c*(c - 3)**2*(c - 2)*(c + 1)
Factor -2/21*g**2 - 22/7 - 68/21*g.
-2*(g + 1)*(g + 33)/21
Let w(k) be the third derivative of k**5/330 + k**4/132 - 4*k**3/11 + 24*k**2. Factor w(y).
2*(y - 3)*(y + 4)/11
Let f(a) = a**3 - 19*a**2 + 4*a + 27. Let k(r) = r**3 - 39*r**2 + 8*r + 55. Let c(p) = 7*f(p) - 3*k(p). Factor c(i).
4*(i - 3)*(i - 2)*(i + 1)
Suppose 3*m - 8 = 34. Let y be 3 - (-63)/18*6/m. Solve y*z - 3*z**2 + 1/2*z**3 + 0 = 0.
0, 3
Let q(a) be the third derivative of a**6/40 + 51*a**5/4 + 21675*a**4/8 + 614125*a**3/2 + 130*a**2. Factor q(x).
3*(x + 85)**3
Let u(o) be the third derivative of -o**5/20 + o**4/4 + o**2 + 48*o. Find w, given that u(w) = 0.
0, 2
Determine g so that 3/4*g**4 + 36*g - 75/4*g**3 + 0 + 33/2*g**2 = 0.
-1, 0, 2, 24
Let p be (-3)/((-99)/6) - (-6510)/(-110). Let s = p - -178/3. Suppose 1/3*i + 1/3*i**5 - s*i**4 - 2/3*i**3 - 1/3 + 2/3*i**2 = 0. Calculate i.
-1, 1
Suppose -1 = -2*l + 9. Suppose 0 = -m + l*m. Factor f**4 + f**4 + m*f - f**4 + 3*f**2 + 3*f**3 + f.
f*(f + 1)**3
Let a(j) = 2*j - 4. Let f be a(4). Let w be (-50)/(-20)*6/5. Let 6*z**3 - 9*z**3 + f*z**2 + 9*z**w - 2*z = 0. Calculate z.
-1, 0, 1/3
Suppose -1020 + 992 = -7*q. Let u(p) be the first derivative of -24/7*p**3 + 6/7*p**q + 1 - 3/35*p**5 - 48/7*p + 48/7*p**2. Find k, given that u(k) = 0.
2
Let s(l) be the second derivative of -l**7/70 - l**6/20 - l**5/20 + 17*l**2/2 - 5*l. Let z(h) be the first derivative of s(h). Find d such that z(d) = 0.
-1, 0
Let l(o) = o**2 - 5*o - 10. Let g be l(9). Factor 7*x - 11*x - 8*x**2 - 3*x**5 + 7*x**5 - 19*x**4 + g*x**3 + x**3.
x*(x - 2)**2*(x - 1)*(4*x + 1)
Let m = -2168363634/131 + 32044404718249/1935918. Let h = m - -17/1642. Factor 98/9*y**5 + 544/9*y - 644/9*y**4 - 64/9 - 1504/9*y**2 + h*y**3.
2*(y - 2)**3*(7*y - 2)**2/9
Let q(z) = 2*z**2 + 4*z - 4. Let j be q(-4). Let w be j*((-4)/(-3) + -1). Let 22*f**3 + 7*f**2 - 16*f**3 - 12 - 3*f**w - 12*f + 2*f**2 = 0. What is f?
-1, 2
Suppose -42 = -4*d - 50. Let f be d*(-1)/16 - 2180/(-3040). Factor 24/19*m + 12/19*m**2 + f + 2/19*m**3.
2*(m + 2)**3/19
Let f(i) be the third derivative of -5*i**8/48 + 3*i**7/14 + 19*i**6/24 - 41*i**5/12 + 5*i**4 - 10*i**3/3 - 77*i**2. Determine c so that f(c) = 0.
-2, 2/7, 1
Let d(w) be the second derivative of -w**7/840 + w**5/240 - 5*w**2 - 12*w. Let s(h) be the first derivative of d(h). Factor s(m).
-m**2*(m - 1)*(m + 1)/4
Let t(m) be the first derivative of -2*m**5/9 - 8*m**4/9 - 4*m**3/3 - 8*m**2/9 - 2*m/9 + 238. Find l, given that t(l) = 0.
-1, -1/5
Let x(w) be the third derivative of w**6/1260 - w**5/126 - w**2 + 2*w. Determine v, given that x(v) = 0.
0, 5
Let p(m) be the second derivative of m**6/3 - 11*m**5/5 - 47*m**4/6 - 8*m**3/3 + 12*m**2 - 6*m - 1. What is f in p(f) = 0?
-1, 2/5, 6
Let r(i) be the first derivative of -i**7/210 - i**6/150 + 14*i + 9. Let s(y) be the first derivative of r(y). Factor s(u).
-u**4*(u + 1)/5
Let w(g) be the second derivative of g**4 - 1 + 2*g + 0*g**2 + 0*g**3 + 7/30*g**6 - 4/5*g**5 - 1/42*g**7. Factor w(o).
-o**2*(o - 3)*(o - 2)**2
Let d = -12909 + 12911. Solve 1/7*n**3 - 4/7 - 4/7*n + 1/7*n**d = 0.
-2, -1, 2
Let c be 15/12 - 693/612. Factor -6/17*j**3 + 0*j**2 + 0 - c*j**5 - 8/17*j**4 + 0*j.
-2*j**3*(j + 1)*(j + 3)/17
Let u(l) = l**2 + 6*l - 16. Suppose -72 = 3*a + 6*a. Let x be u(a). Factor -2/5*v + 1/5*v**2 + x.
v*(v - 2)/5
Factor -45/4*u**2 + 6*u + 0 + 3/4*u**4 + 9/2*u**3.
3*u*(u - 1)**2*(u + 8)/4
Let l(i) be the first derivative of 5*i + 2 - 1/2*i**2 + 1/24*i**4 + 1/12*i**3. Let k(h) be the first derivative of l(h). Factor k(m).
(m - 1)*(m + 2)/2
Let s(v) = -48*v**2 + 168*v - 2382. Let r(a) = -3*a**2 - 2. Let t(m) = 15*r(m) - s(m). Factor t(f).
3*(f - 28)**2
Let t(q) = 2*q**2 + 10*q + 10. Let h(n) = -6*n**2 - 30*n - 31. Let v be ((-8)/(-6))/(-4)*-48. Let k = v - 18. Let c(f) = k*h(f) - 7*t(f). What is l in c(l) = 0?
-4, -1
Let i(g) be the first derivative of 4*g**5 + 4/5*g + 12*g**4 + 24/5*g**2 + 2 + 184/15*g**3. Let i(c) = 0. What is c?
-1, -1/5
Let p(r) be the first derivative of 1/180*r**5 + 1/72*r**4 + 0*r + 0*r**3 + r**2 - 4. Let f(d) be the second derivative of p(d). Factor f(h).
h*(h + 1)/3
Let k(d) = -5*d - 20. Let o be k(-5). Suppose h = o*v, -4*v = v + h. Find w such that 2/3*w**4 - 2/3 - 4/3*w**3 + v*w**2 + 4/3*w = 0.
-1, 1
Suppose 0 = -74*c + 198*c + 25 - 521. Factor 2/3*s**c - 4/3*s**3 + 16/3*s - 8/3 - 2*s**2.
2*(s - 2)*(s - 1)**2*(s + 2)/3
Let a(c) be the third derivative of c**2 + 1/180*c**6 + 0*c - 1/2*c**3 + 1/3*c**4 + 0 + 1/15*c**5. Let y(d) be the first derivative of a(d). Solve y(v) = 0.
-2
Let s(q) be the third derivative of -q**10/211680 - q**9/35280 + q**7/4410 - 7*q**4/24 + 4*q**2. Let a(b) be the second derivative of s(b). Factor a(l).
-l**2*(l - 1)*(l + 2)**2/7
Suppose 3*p = 5*q - 86, -p + 27 = -4*q + 93. Find f, given that -7*f**3 - 58*f**2 + 54*f**2 + 228*f**2 - 116*f - 42*f**3 + q = 0.
2/7, 4
Let x(v) be the first derivative of -v**8/112 + v**7/70 + v**6/8 + 3*v**5/20 + 6*v**2 + 30. Let i(z) be the second derivative of x(z). Solve i(a) = 0 for a.
-1, 0, 3
Let m be (-934)/(-8) + ((-95)/20 - -4). Let h = m + -113. What is z in 4/3*z**2 + 0*z**h + 2/3*z + 0 - 4/3*z**4 - 2/3*z**5 = 0?
-1, 0, 1
Let a be (-6 - 0)*(-8)/((-48)/(-62)). Let l = 312/5 - a. Determine y, gi