*4 + 2/9*r**3 + 1/180*r**5. Factor v(n).
(n + 2)**2/3
Let m(w) = -5 + 7*w - w + w**2 + 2*w**2. Let d(p) = p**2 + 1. Let x(h) = -4*d(h) + m(h). Factor x(q).
-(q - 3)**2
Let r(g) be the second derivative of 14*g**7/3 - 70*g**6/3 + 47*g**5 - 145*g**4/3 + 80*g**3/3 - 8*g**2 - 9*g. Factor r(q).
4*(q - 1)**3*(7*q - 2)**2
Let t be (-9 - 30/(-5)*1) + 3. Factor -1/2*i**5 + t + 0*i**2 - 1/2*i**4 + 0*i**3 + 0*i.
-i**4*(i + 1)/2
Determine f, given that 15/4*f + 3/4*f**2 + 9/2 = 0.
-3, -2
Factor 20*v - 11*v**2 + 2*v**2 - 1 + 1 - 4.
-(v - 2)*(9*v - 2)
Let b(d) = d**2 + 10*d + 19. Suppose n = -3*p - 26, -2 = -0*p + p - 3*n. Let y be b(p). Factor -4/9 + 2/3*z + 0*z**2 - 2/9*z**y.
-2*(z - 1)**2*(z + 2)/9
Let j(x) be the first derivative of -2*x**5/25 - x**4/10 + 2*x**3/15 + x**2/5 - 1. Factor j(f).
-2*f*(f - 1)*(f + 1)**2/5
Let k(g) be the second derivative of g**4/8 + g**3 + 3*g**2 + 14*g. Factor k(r).
3*(r + 2)**2/2
Let m be (2/(-15))/(3/(-120)). Factor 44/3*z**2 - 16*z + 2/3*z**4 - m*z**3 + 6.
2*(z - 3)**2*(z - 1)**2/3
Let a(v) = -16*v**2 - 48*v - 41. Let t(f) = -4*f**2 - 12*f - 10. Let g(m) = -2*a(m) + 9*t(m). Let g(o) = 0. What is o?
-2, -1
Let h = 243 - 240. Solve -8/5*j**2 + 4/5*j + 0*j**h + 0 - 4/5*j**5 + 8/5*j**4 = 0 for j.
-1, 0, 1
Let p(t) = -10*t**3 + 52*t**2 - 214*t + 306. Let j(v) = 9*v**3 - 52*v**2 + 215*v - 305. Let o(d) = 6*j(d) + 5*p(d). Factor o(x).
4*(x - 5)**2*(x - 3)
Let z be (-3)/6*4*3. Let s be z*((-14)/4)/7. Find b, given that -4*b**2 - 20*b**s + b**2 + 17*b**3 = 0.
-1, 0
Suppose x = 2*x - 2. Suppose 4/7 + 8/7*g + 4/7*g**x = 0. What is g?
-1
Suppose -11 = -3*l - w, l - w - 3*w + 18 = 0. Factor -16*r - 6*r**4 - r**4 - 8*r**l + r**4 + 20*r**3.
-2*r*(r - 2)**2*(3*r + 2)
Let m = 967 - 967. Factor 0*f**2 - 1/2*f**3 + m*f + 1/2*f**4 + 0.
f**3*(f - 1)/2
Let h be ((-4)/10)/((-30)/100). Factor 2*j**3 - h + 2/3*j**2 + 2/3*j**4 - 2*j.
2*(j - 1)*(j + 1)**2*(j + 2)/3
Suppose -6 = -5*f + b, 0 = f + 2*b - 3*b + 2. Factor 31 - j**4 - j**3 - 3*j**2 - j - 29 + f*j + 2*j**4.
(j - 2)*(j - 1)*(j + 1)**2
Let k(d) be the third derivative of d**6/60 + d**5/9 + d**4/4 + 2*d**3/9 + 33*d**2. Factor k(g).
2*(g + 1)*(g + 2)*(3*g + 1)/3
Let x(w) be the second derivative of w**7/105 - 4*w**6/75 + 3*w**5/50 + 2*w**4/15 - 4*w**3/15 + 9*w. Determine t, given that x(t) = 0.
-1, 0, 1, 2
Let q(l) = -3*l**3 + 9*l**2 + 15. Let t(o) = 1. Let u(w) = -q(w) + 15*t(w). Factor u(y).
3*y**2*(y - 3)
Suppose 4*t - t - 6 = 0. Suppose 11 = 2*p + 5. Factor 2/5*x - 4/5*x**p - 2/5*x**t + 0.
-2*x*(x + 1)*(2*x - 1)/5
Let c(h) = -h**3 + h**2 - h + 1. Let q(a) = a**3 - 7*a**2 - a + 7. Let p be (0 - 2)/(-3 - -1). Let z(d) = p*q(d) + 2*c(d). Suppose z(w) = 0. Calculate w.
-3, 1
Let u(p) = -7*p**3 + 5*p - 5. Let v be (-1 - (-3 - -1)) + 3. Let r(h) = 8*h - 4 + 2*h**3 - 8*h**3 - v*h. Let n(k) = -5*r(k) + 4*u(k). What is t in n(t) = 0?
0
Let h(f) be the first derivative of 8*f**3/9 + 5*f**2/3 + 2*f/3 - 8. Factor h(s).
2*(s + 1)*(4*s + 1)/3
Let k(i) = i**3 + i**2 + i. Let o(a) = -a**3 - a**2 + 3*a + 2. Let f(l) = k(l) - o(l). Solve f(u) = 0.
-1, 1
Let b(y) be the third derivative of -y**8/336 - y**7/140 - y**6/240 + 2*y**2. Determine n, given that b(n) = 0.
-1, -1/2, 0
Let h be (-5)/25*20/(-6). Factor h*s**3 - 2/3*s - 2/3*s**2 + 2/3.
2*(s - 1)**2*(s + 1)/3
Suppose -3*v + 0 = -6. Factor -6*k**3 + 10*k**v + 0*k - 2*k + 0*k - 18*k**4.
-2*k*(k + 1)*(3*k - 1)**2
Let w(d) = 3*d**3 + 3*d**2 - 6*d. Let s(v) = -3*v**3 - 2*v**2 + 5*v. Let y(q) = -q**2 - 5*q - 4. Let g be y(-5). Let m(f) = g*w(f) - 5*s(f). Factor m(b).
b*(b - 1)*(3*b + 1)
Suppose -2*l = -10 - 0. Suppose l = 3*m - 4. Suppose -4*r**5 - 19*r**2 - 41*r**4 - 2*r**2 + r + 2 + 7*r**m - 56*r**3 - 8*r**5 = 0. What is r?
-1, -2/3, 1/4
Find k such that -10/3*k + 0 + 5/3*k**2 = 0.
0, 2
Let x(d) be the third derivative of d**6/24 + d**5/4 - 12*d**2. Solve x(p) = 0 for p.
-3, 0
Let p(m) be the third derivative of -m**5/150 + 23*m**2. Factor p(o).
-2*o**2/5
Let x(s) be the first derivative of -s**3/3 + 11*s**2 - 121*s + 16. Factor x(h).
-(h - 11)**2
Let l be 2/(-40)*(6 + -8). Let w(r) be the second derivative of -l*r**5 + 0*r**2 + 0 - 1/15*r**6 + 0*r**3 + 0*r**4 + r. Suppose w(f) = 0. Calculate f.
-1, 0
Solve 2*n**3 - 8*n - 5*n**2 - 6*n**2 + 9*n**2 + 8 + 0*n**2 = 0 for n.
-2, 1, 2
Let c(w) be the third derivative of -w**5/75 + w**4/10 + 8*w**3/15 - 17*w**2. What is a in c(a) = 0?
-1, 4
Let r(g) be the first derivative of 0*g - 2/3*g**3 - 3 + 1/2*g**4 + 1/3*g**2 - 2/15*g**5. Determine d, given that r(d) = 0.
0, 1
Let f(q) be the second derivative of -8*q**6/75 - 18*q**5/25 - 113*q**4/60 - 5*q**3/2 - 9*q**2/5 + 2*q. Solve f(z) = 0 for z.
-2, -1, -3/4
Let j(c) = c + 4. Let n be j(-2). Let l(q) be the third derivative of 1/18*q**4 + 0 + 1/9*q**3 + 1/90*q**5 - 2*q**n + 0*q. Find z, given that l(z) = 0.
-1
Determine y, given that 6/7*y + y**4 - 1/7*y**5 + 0 - y**2 - 5/7*y**3 = 0.
-1, 0, 1, 6
Let y(c) = 4*c**2. Let z be y(1). Determine q so that -q + z*q + 3*q - 6*q**2 + 4*q**2 = 0.
0, 3
Let j(m) be the first derivative of m**8/336 + m**7/84 - m**5/24 - m**4/24 + 4*m**2 + 3. Let b(l) be the second derivative of j(l). Let b(y) = 0. Calculate y.
-2, -1, -1/2, 0, 1
Factor 0 + 4/9*h**2 + 0*h - 2/9*h**3.
-2*h**2*(h - 2)/9
Let g = 7 - 5. Let t(h) be the second derivative of 0 + 2*h + 0*h**g - 1/6*h**3 + 1/12*h**4. Factor t(z).
z*(z - 1)
Let q be (-80)/(-6) + 5/(-15). Let d = q + -9. Find t such that -2*t**3 + 12*t**5 + 2*t**d + 17 - 6 - 11 = 0.
-1/2, 0, 1/3
Let w(t) be the second derivative of -t**5/5 + t**4/3 + 4*t**3/3 + 7*t. Factor w(r).
-4*r*(r - 2)*(r + 1)
Suppose -5*l + 2*v + 6 = -l, 0 = -4*l - 2*v + 18. Factor 3/5 - 9/5*z**l - 3/5*z**2 + 9/5*z.
-3*(z - 1)*(z + 1)*(3*z + 1)/5
Let r = -8/5 - -34/15. Let t(b) be the first derivative of 2 + 0*b - b**2 - r*b**3. Determine v so that t(v) = 0.
-1, 0
Let c(g) be the third derivative of -g**5/20 - 3*g**4/4 - 9*g**3/2 + 7*g**2. Factor c(m).
-3*(m + 3)**2
Let j(y) be the first derivative of y**6/1800 - y**4/120 + y**3 + 2. Let n(a) be the third derivative of j(a). Factor n(d).
(d - 1)*(d + 1)/5
Let a be (-21)/6*(-4)/7. Suppose -r**4 + 3*r - r**4 + 6*r**a + r = 0. What is r?
-1, 0, 2
Suppose 12 = -4*f - 3*j, -f - j - 24 = 5*j. Solve 1/9*p**2 + 0*p - 2/9*p**3 + 1/9*p**4 + f = 0 for p.
0, 1
Let q(n) = -n**3 - 9*n**2 - 9*n - 3. Let t be q(-10). Let o**4 + 96*o**2 + t + 139*o + 117*o + 16*o**3 + 69 = 0. Calculate o.
-4
Let q be -45*((-48)/(-20) - 3). Let x = -24 + q. Suppose -2/9*a**4 - 2/9 + 2/9*a**5 + 4/9*a**2 - 4/9*a**x + 2/9*a = 0. Calculate a.
-1, 1
Let c be (-34)/153 + 727/(-63)*-2. Factor 64/7*y**4 + 0 - 8/7*y + 68/7*y**2 - c*y**3.
4*y*(y - 2)*(4*y - 1)**2/7
Let b(d) be the second derivative of -3*d**6/10 + 3*d**5/20 + d**4/2 - 4*d. Suppose b(p) = 0. What is p?
-2/3, 0, 1
Let n(y) be the third derivative of 3*y**2 + 0*y - 1/330*y**5 - 4/33*y**3 + 0 - 1/33*y**4. Determine x, given that n(x) = 0.
-2
Let m(s) = s**2 - s + 1. Let x(c) = -8*c**2 + 8*c - 4. Let z(p) = -4*m(p) - x(p). Solve z(l) = 0.
0, 1
Let h(b) be the second derivative of b**6/90 - b**5/20 + b**4/18 + 8*b. Let h(o) = 0. Calculate o.
0, 1, 2
Let k = 761/174 - -11/87. What is w in -k*w**3 - 9/4*w**4 + 27/4 + 63/4*w + 15/2*w**2 + 3/4*w**5 = 0?
-1, 3
Suppose 18/5*u**2 + 0*u - 3*u**3 - 39/5*u**4 - 6/5*u**5 + 0 = 0. What is u?
-6, -1, 0, 1/2
Let l(d) be the first derivative of -5*d**3/3 + 105*d**2 - 2205*d - 4. Factor l(m).
-5*(m - 21)**2
Let w(s) = -4*s + 2*s - s**2 + 0*s**2. Let b(o) be the second derivative of -o**3/6 - 3*o. Let k(x) = 2*b(x) - w(x). Factor k(a).
a**2
Let x(j) = -3*j + 41. Let s be x(13). Factor 4/9*u**s - 16/9 - 2/9*u**3 + 8/9*u.
-2*(u - 2)**2*(u + 2)/9
Let z(s) be the second derivative of 2*s**7/63 + 2*s**6/45 - 9*s. Let z(b) = 0. Calculate b.
-1, 0
Suppose -2/9*t**2 - 2/9 - 4/9*t = 0. Calculate t.
-1
Let l(n) = -4*n**2 - n + 8*n**2 - 3*n**2. Let r(g) = g**4 - 4*g**3 + 4*g. Let k be 2 + (-2 - 0)/2. Let j(q) = k*r(q) + 4*l(q). Factor j(t).
t**2*(t - 2)**2
Let n(j) = 7*j**3 + 6*j**2 - j. Let l(w) = 8*w**3 + 6*w**2 - 2*w. Let f(r) = -4*l(r) + 5*n(r). Factor f(k).
3*k*(k + 1)**2
Let n(y) be the second derivative of y**5/60 - y**3/6 - y**2/3 + 31*y. Solve n(o) = 0.
-1, 2
Suppose j = -v + 7 - 4, 16 = 4*j + 2*v. Let h = j + 8. Factor w**2 - h + 