(g).
-(g - 4)**2*(g + 1)**2
Factor -2/17*u**2 - 4/17 + 6/17*u.
-2*(u - 2)*(u - 1)/17
Let n(t) be the third derivative of t**5/90 + t**4/12 + 2*t**3/9 + 8*t**2. Solve n(a) = 0 for a.
-2, -1
Let l(n) be the first derivative of n**4/6 + 2*n**3/15 + n + 1. Let r(u) be the first derivative of l(u). Factor r(w).
2*w*(5*w + 2)/5
Let c(a) be the second derivative of a**6/420 - a**5/210 - 3*a**2/2 + a. Let q(x) be the first derivative of c(x). Determine u so that q(u) = 0.
0, 1
Let a(s) be the second derivative of -s**5/30 - s**4/6 + 4*s**2/3 - 6*s. Factor a(y).
-2*(y - 1)*(y + 2)**2/3
Let j(m) be the second derivative of 4*m - 1/10*m**6 - 3/10*m**5 - 1/4*m**4 + 0*m**3 + 0*m**2 + 0. Suppose j(u) = 0. Calculate u.
-1, 0
Let q be (-11733)/(-63) - 3/(-9). Let x = q + -186. Determine d so that 0 + 0*d**2 + x*d**3 + 2/7*d**4 - 2/7*d**5 + 0*d = 0.
-1, 0, 2
Let w = -19 - -24. Let f(c) be the third derivative of 1/27*c**3 + c**2 + 0*c + 1/54*c**4 + 0 + 1/270*c**w. Factor f(q).
2*(q + 1)**2/9
Let w(q) be the third derivative of -1/180*q**4 + 0 + 0*q**3 + 0*q - 1/450*q**5 + 1/1575*q**7 + 2*q**2 + 1/900*q**6. Factor w(b).
2*b*(b - 1)*(b + 1)**2/15
Let s(z) = -z**2 - 8*z - 3. Let l be s(-6). Let h = l + -6. Determine q so that -1/2*q**4 + 1/2*q**2 + 0 - 1/2*q**h + 1/2*q = 0.
-1, 0, 1
Suppose -4*y - 844*y**4 + 845*y**4 - y**5 + 4*y + 2*y**3 = 0. Calculate y.
-1, 0, 2
Let q(x) be the first derivative of x**4/8 - x**3/3 - 3*x**2/4 - 11. Let q(t) = 0. Calculate t.
-1, 0, 3
Let d(a) = -a**2 - 13*a + 2. Let r be d(-13). Factor 0*x - r*x**3 - 14/3*x**2 + 8/3.
-2*(x + 1)*(x + 2)*(3*x - 2)/3
Let p be 2 + (-86)/52 - (-2)/13. Factor -p*w - 1 + 1/2*w**2.
(w - 2)*(w + 1)/2
Let c(j) = -12*j**3 - j**2 - 2*j - 1. Let h be c(-1). Suppose 3*i = 5*t + 20, -h = -i - 3*i + 3*t. Suppose i + 2/3*m**2 - 2/3*m = 0. What is m?
0, 1
Let h(c) be the first derivative of 3/7*c**2 - 4/7*c + 8/7*c**3 + 1/2*c**4 - 3. Factor h(w).
2*(w + 1)**2*(7*w - 2)/7
Let g(u) = u + 11. Let r be g(-5). Suppose 0 = -6*w - 40 + 52. Factor -4*f**w - f - f**2 + r*f**2.
f*(f - 1)
Let r(c) be the first derivative of -2*c**3/9 + 7*c**2/12 + c/3 - 4. Factor r(l).
-(l - 2)*(4*l + 1)/6
Let n(w) be the second derivative of 4*w**6/15 - 11*w**5/10 + 5*w**4/6 + 2*w**3/3 + 3*w. Let n(v) = 0. What is v?
-1/4, 0, 1, 2
Let g(k) be the second derivative of 3*k**7/98 - k**6/35 - 9*k**5/140 + k**4/14 - 2*k. Solve g(c) = 0.
-1, 0, 2/3, 1
Let v be 12*3/12*2. Let f be 4/(v/3) + 2. Find a, given that 2*a**4 - 4*a + 4*a**3 + 2 + 4 - 4 - f = 0.
-1, 1
Let 35*l**2 - 10*l**2 + 16 + 48*l + 19*l**2 + 12*l**3 + 0 = 0. What is l?
-2, -1, -2/3
Factor 0 - 2/3*l**2 + 1/3*l**3 + 1/3*l.
l*(l - 1)**2/3
Suppose 2*a + 13 = 17. Find g, given that -6/5*g**3 - 1/5*g + 4/5*g**a - 1/5*g**5 + 4/5*g**4 + 0 = 0.
0, 1
Let a(t) = -t**3 + t. Suppose -2*y - 20 = -8. Let k(u) = u**4 + u**3 - u**2 - u. Let m(v) = y*a(v) - 2*k(v). Factor m(r).
-2*r*(r - 2)*(r - 1)*(r + 1)
Let u(i) be the third derivative of i**5/210 - i**4/42 - 11*i**2. Solve u(q) = 0 for q.
0, 2
Let y be (3/(-12))/(-2 + 1). Let v(f) be the second derivative of 11/50*f**5 - 7/50*f**6 + y*f**4 + 0 - 2/5*f**3 - 2/5*f**2 - f. Solve v(x) = 0.
-2/3, -2/7, 1
Let z = 9 - 6. Determine o, given that -13*o**4 + 21*o**4 - 8*o**2 + 8*o**z - 20*o**3 - 12*o**4 = 0.
-2, -1, 0
Suppose 2*m - 5*m = 3*p - 18, 3 = p. Let d be (-1)/(3/((-9)/m)). Determine l so that -d - 1 + 2*l**3 + 2*l**3 + 6*l**2 = 0.
-1, 1/2
Let d(q) be the first derivative of -2/5*q - 3 + 1/10*q**2 + 1/15*q**3. Determine h so that d(h) = 0.
-2, 1
Let b(v) = -v + 5. Let i be b(5). Let f(c) be the third derivative of 2/3*c**3 - 1/2*c**4 + 0*c + 2*c**2 + 1/12*c**5 + i. Suppose f(k) = 0. What is k?
2/5, 2
Let w(y) be the first derivative of 4*y**3/3 - 4*y**2 - 12*y + 4. Factor w(d).
4*(d - 3)*(d + 1)
Suppose -4 = -3*d + 2. Let g(r) be the second derivative of 1/8*r**d + 0 + 1/48*r**4 - 1/12*r**3 + 2*r. Let g(u) = 0. Calculate u.
1
Suppose 7 = 5*k - 3. Factor -4*t**3 - k - 3 - 4*t**2 + 5.
-4*t**2*(t + 1)
Determine x, given that 4/3 - x**2 + 13/3*x**3 - 16/3*x - 4/3*x**4 = 0.
-1, 1/4, 2
Let h(d) be the third derivative of 3*d**7/70 - d**6/60 - 3*d**5/20 + d**4/12 - 15*d**2. Factor h(m).
m*(m - 1)*(m + 1)*(9*m - 2)
Suppose z - 19 + 4 = -4*f, -4*z = 4*f - 24. Factor 0*m**3 - 8*m**2 + 2*m**5 + 2*m + 3*m**f - 4*m**4 + 9*m**3 - 4*m**4.
2*m*(m - 1)**4
Suppose -6*g + 20 = -2*g. Find o such that 392*o**4 + 113*o**2 + 48*o**5 + 47*o**2 - 254*o**g + 16*o + 504*o**3 - 137*o**5 = 0.
-2/7, 0, 2
Let q = -12 - -16. Suppose -3*u + 7 = -2*a, 2*u + 3*a - 13 - 9 = 0. Factor 3*s**2 - s**4 + s - q*s**5 + u*s**5 - s**2 - 1 - 2*s**3.
(s - 1)**3*(s + 1)**2
Suppose -h = -3 + 1. What is r in -2*r**3 + 2 + h*r**4 - 3 + 1 = 0?
0, 1
Let m(r) be the third derivative of 6*r**2 + 7/120*r**4 + 1/200*r**6 - 2/75*r**5 + 0 + 0*r - 1/15*r**3. Factor m(i).
(i - 1)**2*(3*i - 2)/5
Find q such that 4/3*q**4 + 4/3*q**3 + 0 + 0*q**2 + 0*q = 0.
-1, 0
Factor -3*x**5 + 9*x - 2*x - 4*x - 6*x**2 + 6*x**4.
-3*x*(x - 1)**3*(x + 1)
Let v(j) be the third derivative of j**10/136080 + j**9/34020 + j**8/30240 - j**4/24 - 8*j**2. Let q(a) be the second derivative of v(a). Factor q(g).
2*g**3*(g + 1)**2/9
Let u(h) be the first derivative of 0*h**2 - 4/15*h**3 + 3 + 2/25*h**5 + 2/5*h + 0*h**4. Factor u(i).
2*(i - 1)**2*(i + 1)**2/5
Let d(s) be the first derivative of s**6/120 - s**5/120 - s**4/12 - 4*s**3/3 + 5. Let y(x) be the third derivative of d(x). Find l, given that y(l) = 0.
-2/3, 1
Let v(q) be the first derivative of -q**5 + 5*q**4 - 10*q**3/3 - 10*q**2 + 15*q - 9. Suppose v(d) = 0. Calculate d.
-1, 1, 3
Let h(j) be the second derivative of -j**7/14 + 2*j**6 - 87*j**5/4 + 225*j**4/2 - 270*j**3 + 324*j**2 + 39*j. Let h(u) = 0. Calculate u.
1, 6
Let p be (-21)/(-14) - (-3)/2. Suppose -n**4 - 2*n**3 + 3*n**2 + 4*n - 2*n**p + 0*n**3 - 4 + 2*n**3 = 0. What is n?
-2, 1
Let p(w) be the first derivative of -1/54*w**4 + 1/2*w**2 + 1/270*w**5 + 1 + 0*w + 1/27*w**3. Let l(k) be the second derivative of p(k). Factor l(h).
2*(h - 1)**2/9
Let d(a) = -6*a**2 + 2*a - 2. Let y(g) = -g**3 - 19*g**2 + 6*g - 7. Let s(t) = -14*d(t) + 4*y(t). Factor s(p).
-4*p*(p - 1)**2
Let z(x) be the third derivative of x**8/1120 - x**7/630 - x**4/24 + x**2. Let i(f) be the second derivative of z(f). Factor i(u).
2*u**2*(3*u - 2)
Let h(z) be the third derivative of -1/6*z**7 + 0 + 0*z + 1/6*z**4 - 7/15*z**5 + 0*z**3 + 59/120*z**6 - 4*z**2. Factor h(j).
-j*(j - 1)*(5*j - 2)*(7*j - 2)
Let c(z) be the third derivative of -z**5/150 + z**4/15 + 2*z**2. Solve c(n) = 0.
0, 4
Let a(f) be the third derivative of -f**6/540 - 2*f**5/135 - f**4/27 - 5*f**2. Suppose a(x) = 0. What is x?
-2, 0
Let x(a) be the first derivative of -a**6/1800 - a**5/150 - a**4/40 + a**3 - 4. Let b(s) be the third derivative of x(s). What is l in b(l) = 0?
-3, -1
Find c, given that 17*c**2 - c**2 + 5 - 2*c**2 + 6*c**2 + 25*c = 0.
-1, -1/4
Suppose 0 = -5*t + 5 + 5. Suppose w = -t*w. Factor -5/3*q**3 - 2/3*q**4 - 4/3*q**2 + w - 1/3*q.
-q*(q + 1)**2*(2*q + 1)/3
Let f(o) be the second derivative of 0*o**2 + 0*o**4 + 0*o**3 + 4*o + 0 + 0*o**5 - 1/10*o**6 + 1/14*o**7. Factor f(q).
3*q**4*(q - 1)
Let 0*w - 1/3*w**3 + 2/3*w**2 + 0 = 0. Calculate w.
0, 2
Suppose 3*j = j + 6. Factor 0*h**3 + h**3 - h + 4*h**j - 4*h**3.
h*(h - 1)*(h + 1)
Let d(r) be the third derivative of -r**5/12 + 5*r**4/12 - 5*r**3/6 - 7*r**2. Factor d(p).
-5*(p - 1)**2
Let z(d) = 15*d**3 + 31*d**2 + 23*d - 25. Let o(g) = 8*g**3 + 16*g**2 + 12*g - 12. Let j(s) = 11*o(s) - 6*z(s). Factor j(i).
-2*(i - 1)*(i + 3)**2
Let v(z) be the second derivative of -z**6/60 - z**5/10 - z**4/8 + 14*z. Let v(j) = 0. What is j?
-3, -1, 0
Let v(s) be the first derivative of s**4/15 - 2*s**3/45 - s**2/5 - 5. Suppose v(q) = 0. Calculate q.
-1, 0, 3/2
Let v(a) = -13*a**5 - 56*a**4 - 123*a**3 - 101*a**2 - 5. Let r(x) = -19*x**5 - 84*x**4 - 185*x**3 - 151*x**2 - 7. Let c(h) = 5*r(h) - 7*v(h). Factor c(n).
-4*n**2*(n + 2)**2*(n + 3)
Let s(d) be the second derivative of -d**8/1920 + 23*d**7/5040 - d**6/72 + d**5/60 - d**4/12 + d. Let w(t) be the third derivative of s(t). Solve w(k) = 0.
2/7, 1, 2
Let h(x) be the first derivative of -2*x**3/33 + 9*x**2/11 + 20*x/11 + 27. Solve h(p) = 0.
-1, 10
Let v be 6*(-105)/(-567)*2/10. Suppose j +