vative of 1/30*f**4 + 2*f**t + 0*f + 1/150*f**5 + 0 + 1/15*f**3. Determine v so that a(v) = 0.
-1
Let s(a) = 2*a**2 - 2*a - 6. Let f = 14 - 15. Let x(c) = c. Let d(m) = f*s(m) + 2*x(m). Factor d(y).
-2*(y - 3)*(y + 1)
Let -2*y**4 - 6 + 12*y**2 - 3*y - 3*y**5 + y**4 + 0*y**4 - 5*y**4 + 6*y**3 = 0. Calculate y.
-2, -1, 1
Let y(n) be the second derivative of -n**6/135 + 7*n**5/90 - 4*n**4/27 - 16*n**3/27 + 32*n - 3. Suppose y(z) = 0. Calculate z.
-1, 0, 4
Let r(b) = b**2 - 16*b - 130. Let x be r(-6). Factor -9/7 - 1/7*f**x + 6/7*f.
-(f - 3)**2/7
Let i(x) be the first derivative of -4*x**5/75 - x**4/6 - 322. Determine y so that i(y) = 0.
-5/2, 0
Find o, given that -28 + 1/2*o**2 + 1/2*o = 0.
-8, 7
Let l be (0 - -624)/3 + 3. Factor -6*p + 8*p**2 + p**2 + 211 - l - 3*p**4.
-3*p*(p - 1)**2*(p + 2)
Let s = 59 + -56. Factor -10 + s*z**3 + 10 + 108*z - 36*z**2.
3*z*(z - 6)**2
Let c(j) = -j**3 + 15*j**2 - 45*j + 64. Let t(i) be the second derivative of -7*i + 0 + 1/12*i**4 + 1/6*i**3 + 0*i**2. Let f(b) = 2*c(b) - 6*t(b). Factor f(s).
-2*(s - 4)**3
Suppose -253 - 142 + 125 = -90*m. Let -2/7*u**4 - 8/7 + 4/7*u**m - 8/7*u + 6/7*u**2 = 0. Calculate u.
-1, 2
Find s, given that 69/5*s + 64/5 + s**2 = 0.
-64/5, -1
Let s = -385/6 - -1961/30. Factor 2*w - s - 2/5*w**3 - 2/5*w**2.
-2*(w - 1)**2*(w + 3)/5
Determine x so that -43 + 71*x - 23*x - 93 - 440 - x**2 = 0.
24
Let x(b) be the second derivative of 2*b**7/7 - 13*b**6/10 + 9*b**5/4 - 7*b**4/4 + b**3/2 + 314*b. Suppose x(r) = 0. What is r?
0, 1/4, 1
Let z(p) be the third derivative of p**8/1680 + 2*p**7/105 + 39*p**6/200 + 27*p**5/50 + 75*p**2. Factor z(i).
i**2*(i + 2)*(i + 9)**2/5
Let z be (33/3949)/(5*(-2)/(-2985)). Let d = z + 2/359. Factor -4*y**2 + 3 - d*y + 3/2*y**3.
(y - 3)*(y + 1)*(3*y - 2)/2
Let i(b) = 3*b**4 - 12*b**3 + 7*b**2 + 12*b - 12. Let r(t) = -3*t**4 + 12*t**3 - 6*t**2 - 12*t + 12. Let d = -31 + 34. Let c(k) = d*i(k) + 2*r(k). Factor c(s).
3*(s - 2)**2*(s - 1)*(s + 1)
Let g(k) be the second derivative of -k**5/5 - k**4/3 + 2*k**3/3 + 2*k**2 - 31*k - 1. Factor g(t).
-4*(t - 1)*(t + 1)**2
Let q(a) = 688*a + 2752. Let x be q(-4). Suppose -10/7*w - 8/7*w**2 + x = 0. What is w?
-5/4, 0
Let t(l) = -1. Let g(p) = -2*p**3 - 6*p**2 + 20*p + 1. Let c(r) = g(r) + t(r). Find m such that c(m) = 0.
-5, 0, 2
Let v be ((-16)/3)/(6/(-9)). Let l = 1 + v. Factor 11*s - s**2 + 0*s**2 - l*s - s**3.
-s*(s - 1)*(s + 2)
Suppose -4*z = u + 8, 4*z = 1 - 13. Let r = 31/7 - u. Factor -6/7*t**2 + 0 - r*t.
-3*t*(2*t + 1)/7
Let i be 8/(13 - -3) + 43/2. Suppose -28*v**2 - 28*v**2 + 55*v**2 - 121 + i*v = 0. What is v?
11
Factor 135/7 - 108/7*a - 1/7*a**4 + 4/7*a**3 + 18/7*a**2.
-(a - 3)**3*(a + 5)/7
Let c = 55691/19 + -2931. Factor 0 + 8/19*o + 8/19*o**2 + c*o**3.
2*o*(o + 2)**2/19
Let g(f) = 5*f**2 - 17*f - 100. Let n(d) = -12*d**2 + 33*d + 200. Let i(z) = 7*g(z) + 3*n(z). Determine a so that i(a) = 0.
-10
Let y(j) = j**3 + 2*j**2 - 2*j - 2. Let h be y(-2). Factor 1 - 1 + 6 - i**3 - i**3 - 6*i**2 + h*i.
-2*(i - 1)*(i + 1)*(i + 3)
Let b be (310/20 + -10)*2. Let m(n) be the third derivative of b*n**2 - 21/8*n**4 + 9/2*n**3 + 0*n - 17/20*n**5 - 3/40*n**6 + 0. Factor m(j).
-3*(j + 3)**2*(3*j - 1)
Let d(s) = s**3 + 18*s**2 - 13*s - 6. Let w(n) = 20*n**2 - 12*n - 8. Let z(q) = 4*d(q) - 3*w(q). Factor z(p).
4*p*(p - 1)*(p + 4)
Suppose -n + 10 = 5*c, 4*c - 2*n - 8 = -6*n. Let -c*i - 4*i**2 + 18 + 2*i**5 - 18 + 4*i**4 = 0. Calculate i.
-1, 0, 1
Let k(y) = -11*y**2 - 48*y - 3. Let o(q) = 19*q**2 + 94*q + 5. Let u(a) = -5*k(a) - 3*o(a). Determine i, given that u(i) = 0.
-21, 0
Let f(q) be the third derivative of 19*q**6/780 + 37*q**5/195 - 2*q**4/39 + 3*q**2 - 6. Factor f(s).
2*s*(s + 4)*(19*s - 2)/13
Let 0 + 0*y - 1/5*y**5 - 4/5*y**3 + 0*y**2 - 4/5*y**4 = 0. What is y?
-2, 0
Let b be (6/(-18))/((-4)/6). Suppose h + 4 = f + 1, 14 = -3*h + 4*f. Factor 1/2 - b*t**h - 1/2*t**3 + 1/2*t.
-(t - 1)*(t + 1)**2/2
Let g be 10 - (1 + -1 + 2). Let c be (-2 - -4) + (g - -2). Find o, given that -3*o**3 + 8*o**2 - 7*o - 8*o - c*o + 10*o**2 = 0.
0, 3
Let i(m) = 2*m**3 + m**2 + m - 1. Let d be i(1). Let j(x) be the third derivative of 0*x - 1/3*x**d + 0 - 2*x**2 + 1/12*x**4 + 1/15*x**5. Factor j(y).
2*(y + 1)*(2*y - 1)
Factor -1/6*f + 1/6*f**2 - 1/3.
(f - 2)*(f + 1)/6
Let y be (-2)/1 + -2 + 7. Suppose -2*u**2 + 149 - 149 + 4*u**y - 2*u**4 = 0. Calculate u.
0, 1
Factor 3*z**2 + 5468 + 3*z**2 - 120 - 4*z**2 + 1614 + 236*z.
2*(z + 59)**2
Let o(j) = 7*j**2 - 119*j - 105. Let s(i) = -8*i**2 + 120*i + 100. Let n(v) = 4*o(v) + 3*s(v). Factor n(w).
4*(w - 30)*(w + 1)
Let u(m) be the second derivative of -m**4/54 + 23*m**3/27 + 50*m**2/9 - 12*m - 26. Solve u(y) = 0 for y.
-2, 25
Let o(x) be the third derivative of 0*x**5 + 0*x**4 - 1/196*x**8 + 2/147*x**7 - 4*x**2 + 0*x**3 - 1/105*x**6 + 0*x + 0. Factor o(w).
-4*w**3*(w - 1)*(3*w - 2)/7
Let q(u) be the third derivative of u**7/1260 + u**6/135 - u**5/180 - u**4/9 + 7*u**3/6 + 9*u**2 + 2. Let j(t) be the first derivative of q(t). Factor j(s).
2*(s - 1)*(s + 1)*(s + 4)/3
Let w(z) be the first derivative of 21 - 2/15*z**3 - 578/5*z - 34/5*z**2. Suppose w(c) = 0. Calculate c.
-17
Let w(i) be the first derivative of 4 + i**2 + 0*i + 1/18*i**4 + 1/9*i**3 + 1/90*i**5. Let k(f) be the second derivative of w(f). Factor k(o).
2*(o + 1)**2/3
Let p(i) = i**3 + 6*i**2 + 5*i + 4. Let o be p(-5). Suppose -2*c + x + 8 + 3 = 0, -4*c = -5*x - 37. Let r**3 - 3*r**3 - o*r - 3*r**2 + c*r = 0. Calculate r.
-1, -1/2, 0
Let y = -11 - -13. Let z(j) = 15*j**2 - j - 1. Let r be z(-1). Factor -12*l + 3*l**y + r*l - 3*l**3 + 0 + 0 - 3*l**4.
-3*l*(l - 1)*(l + 1)**2
Let w = -691515/7 + 98978. Factor -w - 363/7*y - 1/7*y**3 - 33/7*y**2.
-(y + 11)**3/7
Let l(u) = u**2 + 16*u - 7. Let s(i) = 8*i - 4. Let x(k) = k**2 + 10*k + 5. Let a be x(-7). Let r = 14 + a. Let b(n) = r*l(n) + 5*s(n). Factor b(j).
-2*(j - 3)*(j - 1)
Let q(w) be the second derivative of 0*w**3 - 5/9*w**4 - 14*w + 0*w**2 - 1/12*w**5 + 0. Factor q(b).
-5*b**2*(b + 4)/3
Factor 1/9*o**4 + 16/9*o**3 + 94/9*o**2 + 25 + 80/3*o.
(o + 3)**2*(o + 5)**2/9
Let h(f) be the first derivative of 5*f**6/6 - 3*f**5 - 75*f**4/2 + 170*f**3/3 + 1425*f**2/2 + 1125*f + 220. Find z, given that h(z) = 0.
-3, -1, 5
Let w(g) be the third derivative of 0 + 4*g**2 + 0*g**5 - 5/12*g**4 + 1/42*g**7 - 5/6*g**3 + 1/12*g**6 + 0*g. Determine m, given that w(m) = 0.
-1, 1
Factor 17*a**3 - 39*a - 18*a**3 - a**2 - 20 - 20*a**2 + 1.
-(a + 1)**2*(a + 19)
Suppose 3 = -5*o + 2*o. Let u be -4 - (-7)/o*-9. Determine x, given that 20*x - 96*x**5 - 2 + 208*x**4 - 6*x - u*x**3 - 59*x**3 - 6*x**2 = 0.
-1/3, 1/4, 1
Let l(q) be the first derivative of -17 + 0*q**2 + 4/3*q**3 - 16*q. Factor l(k).
4*(k - 2)*(k + 2)
Let t(v) = -24*v**4 + 22*v**3 + 358*v**2 + 1332*v + 1510. Let q(h) = h**4 + h**3 + h**2 - 2*h + 1. Let z(y) = 52*q(y) + 2*t(y). Factor z(c).
4*(c + 4)**3*(c + 12)
Let n(o) be the second derivative of -o**4/15 + 8*o**2/5 - 333*o + 1. Factor n(t).
-4*(t - 2)*(t + 2)/5
Let r(h) be the first derivative of h**4/6 - 4*h**3/3 + 4*h**2 - 2*h - 16. Let n(u) be the first derivative of r(u). Solve n(m) = 0.
2
Let p(f) be the first derivative of 3*f**5/5 + 6*f**4 + 13*f**3 + 9*f**2 + 20. Factor p(r).
3*r*(r + 1)**2*(r + 6)
Let j = -3/13 - -7/143. Let o = 15/22 + j. Factor 5/6*b**2 - o*b**3 - 1/6*b**4 + 1/6*b**5 - 1/3*b + 0.
b*(b - 1)**3*(b + 2)/6
Let g be (-88)/(-1110) + (-2)/(-37). Let j = -8/23 - -212/345. Let 0 - 2/15*a**3 + j*a**2 - g*a = 0. Calculate a.
0, 1
Let f(v) = 2*v + 19. Let j be f(4). Let t be ((-3)/(-4))/(j/24). Factor t*x + 1/3*x**3 + x**2 + 0.
x*(x + 1)*(x + 2)/3
Suppose t = -y + 4*t + 8, -2*y + 5*t = -16. Factor 0 - y - 8 + 16*i - 4*i**2 + 0.
-4*(i - 2)**2
Let t(j) be the third derivative of -j**7/5040 + 11*j**4/12 + 17*j**2. Let f(p) be the second derivative of t(p). Let f(c) = 0. Calculate c.
0
Let m = -7243/136 - -427/8. Factor -8/17*h**2 - m*h**3 - 10/17*h - 4/17.
-2*(h + 1)**2*(h + 2)/17
Factor -46/3*f + 44/3 + 2/3*f**2.
2*(f - 22)*(f - 1)/3
Let x(k) be the second derivative of -1/3*k**2 + 0*k**4 + 6*k - 1/15*k**5 + 1/45*k**6 + 0 + 2/9*k**3. Suppose x(w) = 0. Calculate w.
-1, 1
Let v = 9307 + -18613/2. Find a such that 3 + v*a - 1/2*a**2 = 0.
-2, 3
Let b = -147 - -155. Let a(d) = -d**3 + 8*d**2 + 2*d 