**5/170 + x**4/51 - x**3/17 + 22*x. Factor q(f).
2*f*(f - 1)*(f + 3)/17
Let g = -26 - -48. Determine x so that 12*x + 2*x**3 + x**2 - 2 + g*x**3 + 29*x**2 - 8*x**3 = 0.
-1, 1/8
Let l(x) be the first derivative of 3*x**5/5 - 5*x**4/4 + 2*x**3/3 - 8*x + 2. Let g(c) = 2*c**4 - 3*c**3 + c**2 - 5. Let j(o) = 8*g(o) - 5*l(o). Factor j(t).
t**2*(t - 1)*(t + 2)
Let q be 6 + -1 + (-65)/13. Factor q - 2/3*l**2 + 0*l - 2/3*l**3.
-2*l**2*(l + 1)/3
Let p be -3*(-4)/12*2. Factor -8*r**3 - 5*r**p - r**3 + 2*r - r**4 + 13*r**3.
-r*(r - 2)*(r - 1)**2
Let k(y) be the second derivative of -64*y**6/75 + 8*y**5/25 + 2*y**4/15 - y**3/15 + 33*y. Factor k(q).
-2*q*(4*q - 1)**2*(4*q + 1)/5
Suppose -6*d**3 - d**5 - d**5 + 6*d**4 + 0*d**4 + 2*d**2 = 0. What is d?
0, 1
Let s(l) = l + 1. Let n be s(2). Suppose -28 = -j + p + 4*p, n*j - 2*p = 19. Suppose 2*i + 2/3*i**j - 2/3 - 2*i**2 = 0. What is i?
1
Let p = -1 + 6. Suppose 1 = -p*x - 4*c + 8, x + 7 = -5*c. What is y in -2*y**4 + 0*y**5 - 6*y**5 + 2*y**2 + 0*y**2 + 6*y**x = 0?
-1, -1/3, 0, 1
Let m(a) be the second derivative of 2*a - 1/12*a**3 + 7/48*a**4 + 0 + 0*a**2. Let m(o) = 0. What is o?
0, 2/7
Let y(r) be the second derivative of -r**6/6 - r**5/2 + 5*r**3/3 + 5*r**2/2 - 12*r. Factor y(a).
-5*(a - 1)*(a + 1)**3
Factor -171*d**2 + 2*d**2 + 52*d + 18 + 15 - 37.
-(13*d - 2)**2
Let p = 97/39 - 28/13. Factor -p*n**5 + 0*n + 1/3*n**4 + 1/3*n**3 + 0 - 1/3*n**2.
-n**2*(n - 1)**2*(n + 1)/3
Factor 60/7*z**2 + 4*z + 36/7*z**3 + 4/7.
4*(z + 1)*(3*z + 1)**2/7
Let l(t) be the first derivative of -1/2*t**4 + 1/3*t**6 + 0*t**2 + 3 + 0*t**5 + 0*t**3 + 0*t. Factor l(i).
2*i**3*(i - 1)*(i + 1)
Let y(x) be the first derivative of x**6/45 + 2*x**5/75 - x**4/15 - 8. Suppose y(v) = 0. What is v?
-2, 0, 1
Let l be 8*(-4 + (-105)/(-24)). Let q(z) be the second derivative of 4/3*z**l + 0 + 4*z + 2*z**2 + 1/4*z**4. Factor q(c).
(c + 2)*(3*c + 2)
Let y(x) be the third derivative of -x**7/35 - x**6/15 + x**5/6 + x**4/6 - 11*x**2. Suppose y(d) = 0. Calculate d.
-2, -1/3, 0, 1
Suppose l - 6 = -3*k, k + 7*l - 2*l + 12 = 0. Suppose 5*q + k*n = 3, 2*n + 3*n + 11 = -3*q. Solve 0*f**q + 0*f + 0 + 0*f**2 - 1/2*f**4 = 0 for f.
0
Let v(y) be the second derivative of -y**5/20 + 2*y**4/3 - 4*y**3/3 + 9*y**2/2 + 2*y. Let t be v(7). Factor 0*k + 0 + 2/5*k**3 + 0*k**t.
2*k**3/5
Let u = 1347 + -1339. Suppose -u*w + 16/5 - 6/5*w**3 + 28/5*w**2 = 0. What is w?
2/3, 2
Let i(k) be the third derivative of 0*k**4 - 9*k**2 + 0*k**3 - 1/112*k**8 + 0 + 0*k + 3/40*k**6 - 1/10*k**5 + 0*k**7. Factor i(f).
-3*f**2*(f - 1)**2*(f + 2)
Factor -2/3*s + 1/6*s**3 - 1/6*s**2 + 2/3.
(s - 2)*(s - 1)*(s + 2)/6
Let s(w) = -2*w**3 + w**3 - 4*w**2 + 1 + 0*w**2 - 4*w. Let j be s(-3). Factor 3*k**2 + 2*k**5 + 13/2*k**3 + 1/2*k + 6*k**j + 0.
k*(k + 1)**2*(2*k + 1)**2/2
Let f(p) be the second derivative of 2*p + 0*p**2 + 0*p**3 + 1/15*p**6 + 1/5*p**5 + 0*p**4 + 0. Factor f(w).
2*w**3*(w + 2)
Let u(x) be the first derivative of -x**5/20 + x**3/12 - 7. Factor u(s).
-s**2*(s - 1)*(s + 1)/4
Let o(p) be the first derivative of -p**7/63 + p**6/45 + p**5/30 - p**4/18 - 6*p - 7. Let r(v) be the first derivative of o(v). Solve r(n) = 0.
-1, 0, 1
Let l be 82/348 - 1/6. Let u = l - -52/87. What is i in -4/9 + 10/9*i - u*i**2 = 0?
2/3, 1
Let q(f) = 2*f**2 + 2*f - 4. Let w be q(-2). Factor 1/5*u**2 + 0 + w*u.
u**2/5
Let y be (2 - (-3)/3)/1. Determine n so that -4*n**4 + 12*n**4 - 2*n - 19*n**3 + 10*n**2 + 0*n**3 + 3*n**y = 0.
0, 1/2, 1
Let c(d) be the second derivative of 0*d**2 + 1/8*d**4 + 1/4*d**3 + 0 - d. Factor c(t).
3*t*(t + 1)/2
Let t be (-12)/(-16) + 68/16. Find y such that t*y + 4*y**2 + 0*y - 5*y = 0.
0
Let w be (-23)/(-7) - (-2)/(-7). Solve -9 - 108*u - 327*u**2 - 147*u**4 - 4 - 378*u**w + 1 = 0 for u.
-1, -2/7
Let y(o) be the first derivative of -o**6/2 + 3*o**5/5 + 9*o**4/4 - o**3 - 3*o**2 - 6. Find g, given that y(g) = 0.
-1, 0, 1, 2
Let l = 10 + -10. Factor l*i**5 - 3*i**5 - 6*i**3 - 7*i**2 + 4*i - 3 + i**2 + 5*i + 9*i**4.
-3*(i - 1)**4*(i + 1)
Suppose -7 = -4*o + 9. Find g, given that -1 + 4*g**o + 4*g + 4*g**3 - 2*g**4 - 3*g**4 - 6*g**2 = 0.
1
Let n(p) be the first derivative of -p**7/42 + p**5/20 + 2*p + 3. Let s(b) be the first derivative of n(b). Factor s(w).
-w**3*(w - 1)*(w + 1)
Let i(n) be the first derivative of -3/28*n**4 + 0*n - 3/14*n**2 - 2/7*n**3 + 3. Solve i(u) = 0 for u.
-1, 0
Suppose 0*v + 32 = 5*v - 4*t, -v - 2 = 2*t. Find o such that -4/9*o**2 - 2/9*o + 4/9*o**v + 0 + 2/9*o**5 + 0*o**3 = 0.
-1, 0, 1
Determine h, given that -5 + 0*h**2 + h**2 + 3*h + 7 = 0.
-2, -1
Let j(q) = -6*q**5 + 24*q**4 - 68*q**3 + 84*q**2 - 46*q + 12. Let t(g) = -g**5 + g**4 - 2*g**3 + g**2 + g. Let u(y) = -j(y) + 4*t(y). Factor u(w).
2*(w - 6)*(w - 1)**4
Let d = 2 + 1. Let k(l) be the first derivative of 2 + 2/3*l**d + 2*l**2 + 0*l. Factor k(x).
2*x*(x + 2)
Let p be ((-35)/(-21))/((-45)/(-54)). Solve 0 - 3/5*v + 12/5*v**3 - 9/5*v**p = 0.
-1/4, 0, 1
Suppose -1/3*r**2 + 1 - 2/3*r = 0. Calculate r.
-3, 1
Let h(d) be the second derivative of d**6/150 + 9*d**5/100 + 7*d**4/60 - 3*d**3/10 - 4*d**2/5 + 8*d + 1. Solve h(p) = 0.
-8, -1, 1
Let f(o) be the second derivative of -o**7/336 - o**6/80 - 3*o**5/160 - o**4/96 - o. Suppose f(j) = 0. What is j?
-1, 0
Let j(y) be the third derivative of 1/210*y**7 + 0*y**4 + 0*y**3 + y**2 + 0 + 0*y + 1/120*y**6 - 1/60*y**5 - 1/336*y**8. Factor j(a).
-a**2*(a - 1)**2*(a + 1)
Let i = 15 + 1. Suppose 0 = -3*h + 2*l - 0*l + i, 3*l + 5 = -5*h. Find q such that -2*q**2 + h*q**4 - q**2 + q**2 + 2*q**3 - 2*q**5 = 0.
-1, 0, 1
Let l be ((-6)/6)/((-1)/(-1)). Let b be (10 - 10)*l/2. What is v in -2/3*v**2 + b*v + 2/3*v**4 - 2/3*v**5 + 2/3*v**3 + 0 = 0?
-1, 0, 1
Let s(c) be the first derivative of 9*c**4/28 + 76*c**3/7 + 195*c**2/2 - 1014*c/7 + 11. Suppose s(u) = 0. Calculate u.
-13, 2/3
Let l = 9 + -7. Determine g, given that -l*g**2 + 17*g + 8 - 19*g - 4 = 0.
-2, 1
Let m(r) = 4*r**2 - 1. Let z be m(1). Determine a so that -3 - 17*a**4 + 4*a**5 + 24*a**3 - 32*a + 16*a**2 + 3 - z*a**4 = 0.
-1, 0, 2
Let l(f) be the third derivative of 1/105*f**7 - 4*f**2 + 0 + 0*f**4 + 1/15*f**5 - 2/45*f**6 + 0*f - 1/9*f**3. Suppose l(y) = 0. Calculate y.
-1/3, 1
Let a(x) be the first derivative of x**4/9 + 28*x**3/27 - 2*x**2/9 - 28*x/9 - 29. Find j such that a(j) = 0.
-7, -1, 1
Let l(h) = 3*h**5 - 16*h**4 + 13*h**3 + 6*h**2 - 16*h + 10. Let d(v) = v**5 - 5*v**4 + 4*v**3 + 2*v**2 - 5*v + 3. Let s(z) = 7*d(z) - 2*l(z). Factor s(g).
(g - 1)**4*(g + 1)
Let z(j) be the third derivative of -3*j**5/20 + j**4/12 - j**3/3 - 2*j**2. Let h(l) = l**2 + 1. Let t(x) = 2*h(x) + z(x). Find q such that t(q) = 0.
0, 2/7
Let a(l) be the first derivative of -l**3/15 + 2*l**2/5 - 4*l/5 + 4. Factor a(i).
-(i - 2)**2/5
Let z(p) be the second derivative of -4*p**5/5 + 3*p**4 - 4*p**3 + 2*p**2 + 2*p. Factor z(y).
-4*(y - 1)**2*(4*y - 1)
Let v(r) be the second derivative of r**5/210 - r**4/42 - 2*r**2 + 4*r. Let a(b) be the first derivative of v(b). Find u such that a(u) = 0.
0, 2
Let r be 4 + 0 + 0 - 1. Suppose 0*f + 9 = -5*c - r*f, -5*f = 2*c + 15. Factor -2*s**3 + s**4 + s**3 + c*s**4.
s**3*(s - 1)
Let p(i) be the first derivative of i**6/30 + 2*i**5/25 - 6. What is f in p(f) = 0?
-2, 0
Let u be 2/(-4)*-8*(-10 - -11). Let b(q) be the second derivative of -4*q + 1/4*q**3 + 0 + 1/4*q**2 + 1/12*q**u. Factor b(x).
(x + 1)*(2*x + 1)/2
Let p(q) be the second derivative of -q**4/12 + q**3/6 - q**2/2 + 4*q. Let w(t) = -2*t**2 + 4*t - 4. Let d(z) = 4*p(z) - w(z). Solve d(c) = 0 for c.
0
Let h(k) be the first derivative of -k**6/10 - k**5/25 + 3*k**4/10 + 2*k**3/15 - 3*k**2/10 - k/5 - 45. Suppose h(u) = 0. Calculate u.
-1, -1/3, 1
Let d(i) be the first derivative of 1/36*i**4 - 1/90*i**5 + 0*i - 3 + 0*i**3 - i**2. Let k(t) be the second derivative of d(t). What is o in k(o) = 0?
0, 1
Let m(g) be the third derivative of g**5/270 - g**3/27 - 5*g**2. Solve m(z) = 0.
-1, 1
Let x(n) be the first derivative of -7*n**6/3 + 12*n**5 - 25*n**4 + 80*n**3/3 - 15*n**2 + 4*n + 3. Find j such that x(j) = 0.
2/7, 1
Suppose 5*w = 3*w - 4*m + 34, 5*w - 99 = -3*m. Let f be 8/14*w/6. Factor -3*y**f + 2 - 7 - 3*y + 5.
-3*y*(y + 1)
Let u(c) be the third derivative of c**6/600 - 9*c**5/100 + 81*c**4/40 - 243*c**3/10 - 6*c**2. Factor u(j).
(j - 