f) = 9*f**3 - 90*f**2 - 159*f. Let n(v) = 24*o(v) - 5*y(v). What is t in n(t) = 0?
-3, 0
Let x(p) be the second derivative of p**5/180 - 2*p**3/9 + 2*p**2 + 2*p. Let c(i) be the first derivative of x(i). Factor c(w).
(w - 2)*(w + 2)/3
Let v(g) be the third derivative of -1/180*g**6 + 0 + 0*g - 1/2*g**3 - 1/6*g**4 + 3*g**2 + 1/20*g**5. Let k(q) be the first derivative of v(q). Factor k(a).
-2*(a - 2)*(a - 1)
Let v = -309 + 309. Factor -2/9*q**5 - 4/3*q**3 + 8/9*q**2 + v + 8/9*q**4 - 2/9*q.
-2*q*(q - 1)**4/9
Suppose -n = 4, 3*n = 2*o - 1 - 17. Factor 0 + 0*c + 3/4*c**4 + 3/4*c**o + 1/4*c**5 + 1/4*c**2.
c**2*(c + 1)**3/4
Suppose -11*f = -4*p - 8*f, 5*p - 5*f = 0. Let p*m + 2/3*m**2 - 2/3*m**5 + 0 - 2*m**3 + 2*m**4 = 0. Calculate m.
0, 1
Suppose 5*s = 3*s - 4. Let j be (3 + s)/(1/5). Let 0*g**2 + 2/9*g**j + 2/9*g - 4/9*g**3 + 0*g**4 + 0 = 0. Calculate g.
-1, 0, 1
Let h = 43/3 - 470/33. Let f(t) be the second derivative of -1/66*t**4 - 3*t + 1/33*t**3 + 0 - 1/110*t**5 + h*t**2. Let f(u) = 0. What is u?
-1, 1
Suppose -4 = -5*k + s, -k = -4*k - 3*s - 12. Find a, given that -4/7*a - 2/7*a**2 + k = 0.
-2, 0
Let q(i) be the first derivative of 2*i**5/25 + i**4/10 - 4*i**3/15 + 9. Find o such that q(o) = 0.
-2, 0, 1
Let a = -6 + 60. Let o = 325/6 - a. Factor 0*y + 0*y**2 + 0 + o*y**3.
y**3/6
Let g(n) = -n**2 + 15*n + 102. Let c be g(-5). Factor 2/3*u + 1/3*u**3 + 0 - u**c.
u*(u - 2)*(u - 1)/3
Let i(z) be the second derivative of 0*z**2 + 0*z**3 + 0 - 1/10*z**5 + 0*z**4 + 4*z + 1/21*z**7 + 0*z**6. Factor i(a).
2*a**3*(a - 1)*(a + 1)
Let i = 16831 + -1665761/99. Let g = i - 54/11. Factor 4/9*o - g - 2/9*o**2.
-2*(o - 1)**2/9
Let j(o) be the first derivative of 1/16*o**4 + 1/12*o**3 - 1/20*o**5 + 0*o - 1 - 1/8*o**2. Factor j(z).
-z*(z - 1)**2*(z + 1)/4
Suppose -11*w - 3*n = -9*w - 7, -3*w = -n - 5. What is s in 1/4 - w*s**3 - 3/4*s**4 + 0*s - 3/2*s**2 = 0?
-1, 1/3
Factor -3*r**3 - 2*r**2 - 8*r**2 + 5*r + 6*r**3 + 2*r**3.
5*r*(r - 1)**2
Let n(r) be the third derivative of r**7/315 + r**6/60 - r**4/9 - 5*r**2. Solve n(l) = 0.
-2, 0, 1
Let x(l) be the first derivative of 1/15*l**3 + 0*l + 3 + 1/10*l**2. Factor x(t).
t*(t + 1)/5
Let d(m) be the third derivative of m**6/40 - 2*m**5/15 + m**4/8 + m**3/3 - 6*m**2 + 2*m. Determine y so that d(y) = 0.
-1/3, 1, 2
Let k(a) be the first derivative of -a**8/168 + a**7/315 + a**6/90 - 5*a**2/2 - 6. Let c(o) be the second derivative of k(o). Determine i so that c(i) = 0.
-2/3, 0, 1
Determine f, given that -2/11*f**3 + 0 + 6/11*f**2 - 4/11*f = 0.
0, 1, 2
Let h(c) be the second derivative of -c**8/840 + c**7/840 - c**3/6 + 4*c. Let z(w) be the second derivative of h(w). Factor z(s).
-s**3*(2*s - 1)
Let g = -14 - -16. Suppose -3 = -3*m + 2*m. Factor i**2 + m*i + 0*i - g*i.
i*(i + 1)
Solve 3*m**4 - 6*m**2 + 9/2*m**3 + 3 - 9/2*m = 0 for m.
-2, -1, 1/2, 1
Let m(g) = -2*g**3 - 5*g**2 + 2*g - 24. Let q be m(-4). Find n, given that -4/3*n**4 + 8/3*n**2 + 16/3*n**3 - q*n - 12 = 0.
-1, 3
Let z(u) = 2*u**2 + 2*u - 2. Let v(o) = -1. Let a(b) = 2*v(b) - z(b). Solve a(l) = 0 for l.
-1, 0
Factor 2*f + 6*f**2 + 2*f**2 + 12*f**3 - 4*f**5 - 2*f.
-4*f**2*(f - 2)*(f + 1)**2
Let v(w) be the third derivative of w**8/224 - w**6/40 + w**4/16 - 14*w**2. Factor v(i).
3*i*(i - 1)**2*(i + 1)**2/2
Factor 0*m - 1/3*m**2 + 0 - 1/3*m**3.
-m**2*(m + 1)/3
Let s(l) = l**3 - l**2 - l. Let d(v) = -8*v**3 + 4*v**2 + 12*v + 9. Let t(y) = 4*d(y) + 36*s(y). Let t(j) = 0. What is j?
-1, 3
Let x(n) = -5*n**3 - 4*n**2 + 5*n + 7. Suppose 5*w = 18 + 7. Let i(b) = 9*b**3 + 8*b**2 - 9*b - 13. Let q(c) = w*x(c) + 3*i(c). Factor q(p).
2*(p - 1)*(p + 1)*(p + 2)
Let m = 93 - 90. Let s(a) be the first derivative of -m*a**2 + 4*a - 4/3*a**3 + 2. Let s(l) = 0. What is l?
-2, 1/2
Let c(d) be the third derivative of d**8/16 + 6*d**7/35 - d**6/10 - 7*d**5/10 - 3*d**4/8 + d**3 + 12*d**2. Factor c(b).
3*(b - 1)*(b + 1)**3*(7*b - 2)
Let g = -11 - -14. Suppose -5*v = -g*h - 35, 0 = 8*v - 3*v - 5*h - 45. Solve 2/5*k**3 + 0*k - 2/5*k**v + 0*k**2 + 0 = 0.
0, 1
Let f(d) be the first derivative of -d**4/2 - 20*d**3/3 - 25*d**2 + 30. Find m such that f(m) = 0.
-5, 0
Let n(v) be the third derivative of -2/15*v**3 + 0*v - 1/60*v**4 + 1/150*v**5 + 0 + v**2. Factor n(b).
2*(b - 2)*(b + 1)/5
Let s(p) = -14*p**3 - p**2 + 7*p - 7. Let g = 4 + -10. Let i be 8/g*(-15)/10. Let z(n) = 5*n**3 - 2*n + 2. Let v(m) = i*s(m) + 7*z(m). Let v(h) = 0. What is h?
0, 2/7
Let p(j) be the first derivative of 1/360*j**6 + 0*j + 0*j**4 - 1/3*j**3 + 1/60*j**5 - 1 + 0*j**2. Let h(q) be the third derivative of p(q). Factor h(w).
w*(w + 2)
Let r(g) be the second derivative of g**5/90 - 2*g**4/27 + 4*g**3/27 - 7*g - 2. Factor r(q).
2*q*(q - 2)**2/9
Factor -1/4*v**2 - 9/4*v - 2.
-(v + 1)*(v + 8)/4
Let v = -9 + 9. Let f(h) be the second derivative of 0*h**3 + 1/6*h**4 + 0*h**2 + 0 - 1/15*h**6 - 2*h + v*h**5. Factor f(i).
-2*i**2*(i - 1)*(i + 1)
Let b be ((-632)/(-16))/((-3)/2). Let i = b - -27. Determine x so that -i*x**3 + 2/3*x**2 + 4/3*x + 0 = 0.
-1, 0, 2
Let k be 0 - (-7)/(21/54). Let j be (1 - k/5) + 3. Factor 0*f**2 + 0*f**3 + 0*f + 0 + j*f**5 + 0*f**4.
2*f**5/5
Let v(a) be the first derivative of -a**4/8 - a**3/2 + a**2/4 + 3*a/2 - 58. Let v(q) = 0. Calculate q.
-3, -1, 1
Let -1/2*n**5 + 0*n**2 + 0 + 0*n + 1/2*n**4 + 0*n**3 = 0. Calculate n.
0, 1
Let k(t) = -3*t - 1. Let v be k(-1). Suppose 2*c - h = v, -13 = -3*c - 4*h + 1. Suppose -l**2 + 4*l**c - 1 - 2*l + 4*l = 0. Calculate l.
-1, 1/3
Let w(g) be the third derivative of -g**8/1848 + g**6/220 - g**5/165 - 16*g**2. Suppose w(t) = 0. Calculate t.
-2, 0, 1
Let j(x) = -15*x**2 + 25*x + 105. Let i(v) = -8*v**2 + 12*v + 53. Let y(o) = -5*i(o) + 3*j(o). Let y(q) = 0. What is q?
-2, 5
Factor 5/6*t**2 + 5/6*t - 5/3.
5*(t - 1)*(t + 2)/6
Let t(a) be the second derivative of -1/84*a**4 + 0 + 0*a**3 + a + 0*a**2. Factor t(v).
-v**2/7
What is n in 0*n + 1/2*n**2 + 0 = 0?
0
Suppose -36 = -0*s - 6*s. Let i(o) be the first derivative of -7/2*o**4 + 2 - 22/3*o**3 + 2*o + 4*o**5 - o**2 + 8/3*o**s. Suppose i(f) = 0. Calculate f.
-1, -1/2, 1/4, 1
Suppose -r + 3 = -2*r. Let g(w) = w + 6. Let z be g(r). Factor f**2 - 3*f + f + z*f.
f*(f + 1)
Let b = -1769 + 15940/9. Let s(r) be the second derivative of 0 + 8/3*r**2 + 8/45*r**6 + 5/6*r**5 + 4*r + b*r**4 + 1/63*r**7 + 28/9*r**3. Factor s(l).
2*(l + 1)**2*(l + 2)**3/3
Let y(g) be the third derivative of -g**6/780 - g**5/390 + g**4/78 - 7*g**2. Find r, given that y(r) = 0.
-2, 0, 1
Let u(t) be the second derivative of -t**4/21 - 4*t**3/7 - 13*t. Factor u(m).
-4*m*(m + 6)/7
Let x(m) = 2*m**2 - 5*m + 4. Let y be x(3). Let s = y + -4. Determine b so that 4*b**2 + 4/5*b + 0 + 21/5*b**s - 5*b**5 - 4*b**4 = 0.
-1, -2/5, 0, 1
Let q = 29 + -86/3. Let g be (5/15 - 3) + 3. Solve -1/3*l**4 + q*l**3 + g*l**2 - 1/3*l + 0 = 0 for l.
-1, 0, 1
Let z(x) be the first derivative of -x**6/11 + 14*x**5/55 + 5*x**4/11 - 20*x**3/33 - 7*x**2/11 + 6*x/11 - 30. Determine q so that z(q) = 0.
-1, 1/3, 1, 3
Let b(x) be the second derivative of -x**4/42 - x**3/21 + 2*x**2/7 - 3*x. Factor b(j).
-2*(j - 1)*(j + 2)/7
Let u = 1183775 - 1321093157/1116. Let x = -1/124 - u. Let 0 + 0*g**3 - x*g**2 + 0*g + 2/9*g**4 = 0. What is g?
-1, 0, 1
Let x be (-5)/(-20) - (-2)/(-8). Solve 38*n + 2*n - 12 + 27*n**2 + x + 8*n = 0.
-2, 2/9
Let n be ((-84)/45 - -2) + 2/(-30). Let a(b) be the third derivative of 0*b**6 + 1/3*b**3 + 0 + 1/105*b**7 - n*b**5 + b**2 + 0*b + 0*b**4. Solve a(i) = 0.
-1, 1
Let l(h) = -8*h**3 + 4*h**2 + 2*h + 2. Let i(g) = 17*g**3 - 5*g - 17*g**2 - 5 - 15*g**2 + 24*g**2. Let z(o) = -2*i(o) - 5*l(o). Solve z(v) = 0 for v.
0, 2/3
Let c(w) be the third derivative of 1/20*w**5 + 1/10*w**4 + 0 + 1/10*w**3 + 0*w + 4*w**2 + 1/100*w**6. Determine o so that c(o) = 0.
-1, -1/2
Let l be -1 - 2 - 0 - -2. Let s(c) = 2*c**2 - c - 1. Let o be s(l). Factor 2*p + p**o - 1 - 1 + 3.
(p + 1)**2
Suppose 3*f - 3*z = -6*z, 0 = 2*z + 6. Let y be (f/4)/(1/4). Solve -u**3 - 2*u**3 + 4*u**y = 0 for u.
0
Let r(k) be the third derivative of k**8/141120 + k**7/8820 + k**6/1260 - k**5/30 - 4*k**2. Let y(u) be the third derivative of r(u). Solve y(n) = 0.
-2
Determine l so that -12/17*l**2 + 14/17*l - 4/17 + 4/17*l**4 - 2/17*l**3 = 0.
-2, 1/2, 1
Let p(l) be the third derivative of l**6/30 -