ative of -x**8/16800 + x**4/4 - 3*x. Let p(f) be the third derivative of b(f). Factor p(k).
-2*k**3/5
Let q(j) be the second derivative of 2*j + 0 - 1/12*j**4 + 2/3*j**3 - 2*j**2. Determine i so that q(i) = 0.
2
Let w be (6 - 198/30)*10/(-3). Factor 1/4*y - 1/4*y**w + 1/2.
-(y - 2)*(y + 1)/4
Let y(z) = -3*z**3 + 6*z**2 + 4*z. Let k(s) = 7*s**3 - 11*s**2 - 7*s. Let b be -1*(-3 + (-2 - -12)). Let g(d) = b*y(d) - 4*k(d). Factor g(o).
-o**2*(7*o - 2)
Let h = -5 + 8. Determine m, given that 11*m + 0*m**3 + 5*m + 6*m**h + 15*m**2 + 7*m**2 - 8 = 0.
-2, 1/3
Let a be 0 - (-1 + (-2)/1). Let u be 2 + (-9)/2 + a. Find v such that 0 - v**3 + u*v**4 + v**5 - 1/2*v**2 + 0*v = 0.
-1, -1/2, 0, 1
Let o(l) = -l - 12. Let n be o(0). Let c be (-20)/n*1/5. Suppose -1/3*i**3 + c*i**2 - 1/3*i**4 + 1/3*i + 0 = 0. What is i?
-1, 0, 1
Let y(p) be the second derivative of -2/9*p**4 + 0*p**3 + 0*p**2 + 0 + 1/15*p**5 - 5*p + 2/15*p**6. Suppose y(j) = 0. Calculate j.
-1, 0, 2/3
Determine k, given that -3/2*k**2 + 6*k - 6 = 0.
2
Solve 2*h**3 + 2*h**3 + 17*h**4 - 2*h**3 - 25*h**4 = 0.
0, 1/4
Let f(j) be the first derivative of -j**5/60 + j**4/18 - j**3/18 - 2*j - 5. Let i(c) be the first derivative of f(c). Solve i(t) = 0 for t.
0, 1
Determine r so that 7/5*r**5 + 4/5 - 19/5*r**3 + 9/5*r**4 - 13/5*r**2 + 12/5*r = 0.
-2, -1, -2/7, 1
Suppose 0 = 3*r - 4*r. Find v such that 2/11*v + 2/11*v**2 + r = 0.
-1, 0
Let y = -50 + 50. Solve -2/5*a + y - 3/5*a**3 + a**2 = 0.
0, 2/3, 1
Let p(k) be the first derivative of 8 + 0*k + 2/15*k**3 - 1/5*k**2 + 1/5*k**4. Factor p(w).
2*w*(w + 1)*(2*w - 1)/5
Let r(b) be the first derivative of -1 + 0*b - 1/54*b**4 - 1/270*b**5 - 1/27*b**3 + 1/2*b**2. Let t(w) be the second derivative of r(w). Factor t(v).
-2*(v + 1)**2/9
Let m(h) be the second derivative of -h**8/640 + h**7/105 - h**6/120 + h**4/6 + 5*h. Let b(l) be the third derivative of m(l). Factor b(x).
-3*x*(x - 2)*(7*x - 2)/2
Suppose 35 = 5*i - 4*b, -3*i - 2*b - 1 = -0. Suppose -i*y = y. Factor 0*k**2 + 0*k - 4/3*k**5 - 2/3*k**3 + y - 2*k**4.
-2*k**3*(k + 1)*(2*k + 1)/3
Let r(q) = -7*q + 70. Let u be r(10). Suppose u*j - 1/6*j**2 + 1/6*j**4 + 0 + 0*j**3 = 0. What is j?
-1, 0, 1
Factor -15/4*q + 9/4 + 3/4*q**3 + 3/4*q**2.
3*(q - 1)**2*(q + 3)/4
Let c(y) be the first derivative of -y**6/24 - y**5/20 + 3*y**4/16 + 5*y**3/12 + y**2/4 + 1. Factor c(o).
-o*(o - 2)*(o + 1)**3/4
Let f(n) = n**2 + 3*n. Let x be f(0). Let c(o) be the third derivative of x*o + 2*o**2 + 0 + 1/18*o**3 + 1/180*o**5 - 1/36*o**4. Find y such that c(y) = 0.
1
Let f(p) be the first derivative of -9/20*p**5 + 27/8*p**2 - 3/16*p**4 + 9/4*p**3 + 3/2*p - 1. Let f(h) = 0. Calculate h.
-1, -1/3, 2
Let i(f) be the third derivative of -f**8/1512 + 2*f**7/945 - f**5/135 + f**4/108 - 7*f**2. Determine m, given that i(m) = 0.
-1, 0, 1
Let c(l) be the third derivative of -l**6/300 + l**5/150 + l**4/12 + l**3/5 - 2*l**2. Find y, given that c(y) = 0.
-1, 3
Suppose 0 = 2*d - 0*d + 3*v + 5, d + v = -1. Find f such that -7*f**4 - f**4 + 6*f**5 - 4*f**2 - d*f**5 - 4*f**4 + 12*f**3 = 0.
0, 1
Let g(v) be the second derivative of v**6/70 + 8*v. Factor g(d).
3*d**4/7
Suppose 0*m - 2*m = -22. Factor -m*f - 9*f**2 + 4*f - 5*f**3 - 17*f**4 + 16*f**4 - 2.
-(f + 1)**3*(f + 2)
Let m(f) be the first derivative of f**6/21 - 2*f**5/35 - 3*f**4/14 + 2*f**3/21 + 2*f**2/7 + 11. Suppose m(v) = 0. What is v?
-1, 0, 1, 2
Factor 8/23 - 18/23*f + 12/23*f**2 - 2/23*f**3.
-2*(f - 4)*(f - 1)**2/23
Factor -24/7*w + 20/7*w**2 + 0 - 4/7*w**3.
-4*w*(w - 3)*(w - 2)/7
Let c be (12/90)/((-32)/(-20)). Let t(s) be the third derivative of -1/15*s**6 + 3*s**2 + 0*s**3 + 0 + 1/10*s**5 + 0*s + c*s**4. What is l in t(l) = 0?
-1/4, 0, 1
Let -8 - 20*v - 20*v**3 - 3*v**4 + 11*v**4 + 40*v**3 = 0. What is v?
-2, -1, -1/2, 1
Let b = -16/3 - -6. Factor 2/3*v**2 + 0*v - b*v**3 + 2/3*v**5 - 2/3*v**4 + 0.
2*v**2*(v - 1)**2*(v + 1)/3
Let t(a) = -2*a**2 - 17*a + 36. Let g be t(-10). Factor -8*r - g*r**2 - 8/3.
-2*(3*r + 2)**2/3
Let n(b) be the second derivative of b**6/315 + b**5/105 - b**4/42 - 26*b. Factor n(u).
2*u**2*(u - 1)*(u + 3)/21
Let i(l) be the third derivative of -1/105*l**7 + 1/60*l**6 - 2*l**2 + 0 + 1/30*l**5 - 1/12*l**4 + 0*l + 0*l**3. Factor i(t).
-2*t*(t - 1)**2*(t + 1)
Let b be (-60)/(-8) + 6/(-4). Let k = b - 4. Determine v, given that 2/11 - 2/11*v - 4/11*v**k = 0.
-1, 1/2
Let n(d) be the first derivative of -d**5/15 - d**4/12 + d**3/9 + d**2/6 + 6. Factor n(x).
-x*(x - 1)*(x + 1)**2/3
Factor 2/11*j + 0 + 2/11*j**3 + 4/11*j**2.
2*j*(j + 1)**2/11
Let k(p) be the first derivative of -p**4/30 + 2*p**3/15 - p**2/5 + 3*p - 2. Let r(o) be the first derivative of k(o). Solve r(x) = 0 for x.
1
Let v = 538 - 5914/11. Factor 0*b + 6/11*b**3 + 0 + v*b**2 + 2/11*b**4.
2*b**2*(b + 1)*(b + 2)/11
Let q = 688 - 688. Factor 0 + 0*j**4 - 2/3*j**3 + q*j**2 + 2/3*j**5 + 0*j.
2*j**3*(j - 1)*(j + 1)/3
Let k(b) be the third derivative of 0*b**3 + 0*b**4 - 3*b**2 + 0*b**5 - 1/840*b**8 + 0*b - 1/300*b**6 - 2/525*b**7 + 0. Find p such that k(p) = 0.
-1, 0
Factor 8/17*i + 2/17*i**4 + 2/17 + 12/17*i**2 + 8/17*i**3.
2*(i + 1)**4/17
Let g be (1/(-18))/((-5)/82). Let r = 10/9 - g. Solve -1/5*b**2 - 3/5*b + 3/5*b**3 + r = 0.
-1, 1/3, 1
Let m(a) = -3*a**5 - 6*a**4 - 4*a**3 + 6*a**2 - a - 4. Let h(q) = -5*q**5 - 11*q**4 - 7*q**3 + 11*q**2 - 2*q - 7. Let x(t) = 4*h(t) - 7*m(t). Factor x(d).
d*(d - 1)**3*(d + 1)
Factor 12*l**2 - 7*l + 74 - 11*l**2 - 64.
(l - 5)*(l - 2)
Let t(l) = 41*l**3 - 64*l**2 + 26*l + 19. Let y(q) = -8*q**3 + 13*q**2 - 5*q - 4. Let i(v) = -2*t(v) - 11*y(v). Suppose i(h) = 0. Calculate h.
-1/2, 1, 2
Let x(v) be the second derivative of -v**5/20 + v**4/6 - 14*v. Find z, given that x(z) = 0.
0, 2
Let d(v) be the second derivative of -27/20*v**4 - 6/5*v**3 - 3*v - 2/5*v**2 + 0. Solve d(n) = 0 for n.
-2/9
Let i(j) = 5*j**2 - 12*j - 17. Let x(r) = -r**2 + 3*r + 4. Let z(b) = 2*i(b) + 9*x(b). Factor z(l).
(l + 1)*(l + 2)
Let j(z) be the third derivative of -z**8/168 - 4*z**7/105 - z**6/20 + 24*z**2. Factor j(l).
-2*l**3*(l + 1)*(l + 3)
Let o(b) be the second derivative of b**4/72 - b**3/18 + b**2/12 - 77*b. Factor o(q).
(q - 1)**2/6
Let i = 220 + -217. Find r, given that -1/4*r**4 - 5/4*r + 1/2 + 1/4*r**i + 3/4*r**2 = 0.
-2, 1
Let d(q) be the second derivative of -q**4/6 + 2*q**3/3 - q**2 + 4*q. Factor d(n).
-2*(n - 1)**2
Let x(c) be the third derivative of -c**2 + 1/525*c**7 + 0*c + 1/60*c**4 + 1/50*c**5 + 0*c**3 + 0 + 1/100*c**6. Find j, given that x(j) = 0.
-1, 0
Let o(l) be the second derivative of -4/3*l**3 + 6*l + 1/6*l**4 + 0 + 4*l**2. Factor o(n).
2*(n - 2)**2
Let f(c) be the first derivative of c**5/10 + 5*c**4/8 + 3*c**3/2 + 7*c**2/4 + c - 42. Factor f(r).
(r + 1)**3*(r + 2)/2
Factor 24/5*q + 12/5*q**3 - 2/5*q**4 - 8/5 - 26/5*q**2.
-2*(q - 2)**2*(q - 1)**2/5
Let k be (2/(-2))/(12*-5). Let v(z) be the third derivative of 0*z + 1/336*z**8 + 0*z**3 + z**2 + 0 - 1/120*z**6 + 0*z**4 - 1/210*z**7 + k*z**5. Factor v(r).
r**2*(r - 1)**2*(r + 1)
Let t be 1/2 - (3/(-4))/(-3). Let -2*g**2 + 1/2 + t*g + 5/4*g**3 = 0. Calculate g.
-2/5, 1
Let m(a) be the second derivative of a**6/120 - a**5/40 - a**4/16 - a. Determine q so that m(q) = 0.
-1, 0, 3
Suppose 5*g + 0*g = 5*p - 15, -15 = -5*p + 3*g. Let s be ((45/6)/5)/p. Let 1/4*z**2 + 1/4 - s*z = 0. Calculate z.
1
Let w(s) be the first derivative of s**5/10 + 3*s**4/4 + 2*s**3 + 2*s**2 + 7. Factor w(n).
n*(n + 2)**3/2
Solve -8/3*u - 16/15 - 20/3*u**4 + 34/3*u**3 + 28/5*u**2 = 0.
-2/5, 1/2, 2
Factor 0*s**2 - 3/5*s - 3/5*s**5 + 0 + 6/5*s**3 + 0*s**4.
-3*s*(s - 1)**2*(s + 1)**2/5
Let s(i) be the third derivative of 0*i + 0 + 1/1260*i**7 + 1/72*i**4 + 0*i**5 - i**2 - 1/360*i**6 - 1/36*i**3. Let s(a) = 0. What is a?
-1, 1
Let a = 53/135 + 1/135. Let -6/5 - a*f**2 - 8/5*f = 0. What is f?
-3, -1
Factor -i**4 - 9*i**3 + 23*i**3 - 9*i**3 + 20*i**2 - 4*i**4 - 20*i.
-5*i*(i - 2)*(i - 1)*(i + 2)
Suppose 20 = 4*q - 4*p, -5 + 2 = q + 3*p. Factor 0 + 1/3*h**4 - 1/3*h**5 + 0*h**2 + 0*h + 0*h**q.
-h**4*(h - 1)/3
Factor -3 - 37*g**4 + 4*g**3 - 6 + 36*g**4 + 2*g**2 + 0 - 12*g.
-(g - 3)**2*(g + 1)**2
Factor 2/7*s + 0*s**3 + 0 - 2/7*s**5 + 4/7*s**4 - 4/7*s**2.
-2*s*(s - 1)**3*(s + 1)/7
Let z be (-4)/(-28)*-1*(-168)/16. Factor -9/2*b + z*b**2 + 3.
3*(b - 2)*(b - 1)/2
