**n - 18*r**4 + 2*r**2.
-3*r**2*(r - 1)**3
Let v be 0 + ((-32)/(-12))/4. Let p(z) be the first derivative of -1/2*z**4 + z**2 + v*z**3 - 2*z + 2. Factor p(h).
-2*(h - 1)**2*(h + 1)
Factor 31*d**5 + 216*d - 32 + 476*d**3 + 140*d**2 - 3*d**5 - 624*d**2 - 204*d**4.
4*(d - 4)*(d - 1)**3*(7*d - 2)
Let v be (-32)/(-14) + (-8)/28. Let y be (1 + 1)*v/16. Find o such that -1/4*o**3 + 1/4*o - y*o**2 + 1/4 = 0.
-1, 1
Let i = 8 - 6. Determine a, given that -3*a**2 + 0*a**i - 3*a**5 + 3*a**3 + 0*a**2 + 3*a**4 = 0.
-1, 0, 1
Let t(i) be the third derivative of i**7/210 - i**6/40 + i**5/20 - i**4/24 - 11*i**2. Factor t(u).
u*(u - 1)**3
Suppose -20/21*h - 2/7 - 2/3*h**2 = 0. Calculate h.
-1, -3/7
Let h(z) = -3*z**2 - 3*z + 2. Suppose a = -a + 10. Let x(l) = -3*l**2 - 4*l + 2. Let c(j) = a*h(j) - 4*x(j). Find g such that c(g) = 0.
-2/3, 1
Let o(x) be the second derivative of -x**6/90 + x**4/36 + 25*x. Factor o(h).
-h**2*(h - 1)*(h + 1)/3
Let m(d) be the first derivative of -2*d**5/5 + d**4 - 2*d**3/3 - 30. Find r, given that m(r) = 0.
0, 1
Suppose -s + 20 = 4*s. Factor -b**2 + s*b**2 - 2*b**3 - b**2 + 4*b**3.
2*b**2*(b + 1)
Let i(p) be the third derivative of -p**10/15120 + p**9/7560 + p**4/12 - p**2. Let k(j) be the second derivative of i(j). Factor k(w).
-2*w**4*(w - 1)
Suppose -8/3*t**2 - 2/3*t**3 - 4/3 - 10/3*t = 0. What is t?
-2, -1
Solve -2/7*d**4 + 0 - 216/7*d**2 - 432/7*d - 36/7*d**3 = 0.
-6, 0
Let k = 15 - 13. Let 8*l**4 - 5*l - k*l**2 + 5*l + 0*l - 6*l**3 = 0. Calculate l.
-1/4, 0, 1
Let m(y) be the third derivative of 0*y**3 - 1/90*y**5 + 1/315*y**7 + 0*y + 3*y**2 + 0*y**4 - 1/180*y**6 + 0 + 1/504*y**8. Suppose m(f) = 0. Calculate f.
-1, 0, 1
Let p = -17 - -7. Let c be (-22)/(-24) + p/15. Factor 1/4 - c*w**2 + 0*w.
-(w - 1)*(w + 1)/4
Let y(u) be the third derivative of 8*u**2 - 1/12*u**6 + 0 - 14/45*u**5 - 2/9*u**3 - 5/12*u**4 + 0*u. Solve y(t) = 0.
-1, -2/3, -1/5
Let h(j) be the second derivative of 0*j**2 - 1/77*j**7 + 0 - 2/33*j**3 - 3/22*j**4 - 2*j - 3/22*j**5 - 1/15*j**6. What is m in h(m) = 0?
-1, -2/3, 0
Let p = -1439/10 - -144. Let d(x) be the first derivative of -p*x**4 - 8/15*x**3 + 2 - 4/5*x**2 + 0*x. Let d(v) = 0. Calculate v.
-2, 0
Let o(z) = z**3 - z. Let i(x) = -12*x**3 + 15*x**2 - 3*x. Let n = -1 - 2. Let y(a) = n*o(a) - i(a). Factor y(p).
3*p*(p - 1)*(3*p - 2)
Let h(r) be the second derivative of -r**6/195 + r**4/39 - r**2/13 - 20*r. Factor h(z).
-2*(z - 1)**2*(z + 1)**2/13
Let w(c) be the third derivative of 0*c + 3*c**2 + 1/60*c**5 - 1/12*c**4 + 0*c**3 + 0. Factor w(n).
n*(n - 2)
Let j(h) = -h. Let g be j(-2). Find s such that s**2 - 2*s**2 + 2 - g*s**2 - 3*s**2 - 4*s = 0.
-1, 1/3
Let z(i) be the third derivative of 0*i**4 - 1/336*i**8 + 0*i + 0*i**3 - 1/40*i**6 + 1/70*i**7 + 1/60*i**5 - i**2 + 0. Factor z(j).
-j**2*(j - 1)**3
Let a(i) = 3*i**5 - 3*i**4 - 5*i**3 + i**2 + 2. Let t(s) = 13*s**5 - 13*s**4 - 21*s**3 + 4*s**2 - s + 9. Let z(k) = 18*a(k) - 4*t(k). Find f such that z(f) = 0.
-1, 0, 1, 2
Factor g**2 + 0*g**2 + 3 + 2*g + 3 - 5.
(g + 1)**2
Let h(x) be the third derivative of -6*x**2 - 1/15*x**6 + 1/3*x**5 - 2/21*x**7 + 0*x + 1/3*x**4 + 0 + 0*x**3. Determine b, given that h(b) = 0.
-1, -2/5, 0, 1
Suppose m**2 + 2/3*m**4 + 0 + 0*m + 5/3*m**3 = 0. What is m?
-3/2, -1, 0
Let a(b) be the first derivative of -2 + 0*b - b**2 + 1/2*b**4 + 2/3*b**3 - 2/5*b**5. Factor a(f).
-2*f*(f - 1)**2*(f + 1)
Suppose 7*p = 4*p + 9. Solve 2*u**p - u**3 - u - 4*u**4 + u**4 + 2*u**4 + u**2 = 0.
-1, 0, 1
Let n(c) be the second derivative of 1/12*c**4 - 8*c + 0 + 0*c**3 + 0*c**2. Suppose n(l) = 0. Calculate l.
0
Let y(q) be the first derivative of 3 - 2/3*q**3 - 1/120*q**5 - 1/720*q**6 - 1/48*q**4 + 0*q + 0*q**2. Let t(v) be the third derivative of y(v). Factor t(m).
-(m + 1)**2/2
Let b(o) be the second derivative of -o**7/42 - o**6/18 - o**5/60 + o**4/36 + 19*o. Let b(h) = 0. Calculate h.
-1, 0, 1/3
Let k = -22 - -34. Let w = k + -10. Suppose -1/2*p + 0 - 1/2*p**w = 0. Calculate p.
-1, 0
Suppose 5*h + 6 = a, 0 = -3*a - h + 5*h - 4. Let u(q) = -q**2 - 6*q - 3. Let d be u(a). Factor 0 - 2/9*j**d + 0*j**3 + 2/9*j - 4/9*j**4 + 4/9*j**2.
-2*j*(j - 1)*(j + 1)**3/9
Let u(l) = l + 2. Let b be u(0). Factor 2 + 3*p**2 - 1 + p**3 - 2 - p - b*p**2.
(p - 1)*(p + 1)**2
Let u(l) = -15*l**4 - 10*l**3 + 5*l**2 + 15*l. Let h(m) = -8*m**4 - 5*m**3 + 2*m**2 + 8*m. Let b(r) = -5*h(r) + 3*u(r). Solve b(x) = 0 for x.
-1, 0, 1
Let q(u) be the second derivative of -u**6/900 - u**5/150 + u**4/20 - u**3 + 4*u. Let n(i) be the second derivative of q(i). Factor n(s).
-2*(s - 1)*(s + 3)/5
Let b(n) = n**5 - n**3 + n**2 + n - 1. Let z(a) = -9*a**5 - 9*a**4 + 9*a**3 + 27*a**2 + 30*a + 18. Let k(c) = -6*b(c) - z(c). Factor k(u).
3*(u - 2)*(u + 1)**3*(u + 2)
Let z(o) be the first derivative of -2*o**5/45 - o**4/18 + 2*o**3/9 + 5*o**2/9 + 4*o/9 - 5. Determine i, given that z(i) = 0.
-1, 2
Let y be 100/22 - (4*-9)/(-9). Factor 4/11*l**5 + 0*l - y*l**4 + 2/11*l**3 + 0*l**2 + 0.
2*l**3*(l - 1)*(2*l - 1)/11
Factor 24/17*f - 2/17*f**4 - 8/17*f**3 + 4/17*f**2 - 18/17.
-2*(f - 1)**2*(f + 3)**2/17
Let m be 7/((-294)/45)*60/(-75). Determine v, given that m + 3/7*v**2 - 9/7*v = 0.
1, 2
Let n(j) = -28*j**3 + 11*j**2 + 115*j - 32. Let h(o) = -28*o**3 + 12*o**2 + 116*o - 32. Let s(d) = -3*h(d) + 4*n(d). Suppose s(m) = 0. What is m?
-2, 2/7, 2
Let c(a) be the first derivative of 0*a**2 + 1/2*a**6 - 2 - 3/2*a**4 + 0*a + 3/5*a**5 + 0*a**3. Determine h so that c(h) = 0.
-2, 0, 1
Find l, given that -6*l**2 - 2*l**3 - 2 - 1 + 11 = 0.
-2, 1
Let c(h) be the second derivative of -h + 0*h**4 + 0 + 0*h**6 + 0*h**2 + 1/24*h**3 + 1/168*h**7 - 1/40*h**5. Factor c(m).
m*(m - 1)**2*(m + 1)**2/4
Let n(p) be the second derivative of -p**10/30240 - p**9/15120 - p**4/12 + p. Let v(l) be the third derivative of n(l). Find j such that v(j) = 0.
-1, 0
Let s(w) be the third derivative of w**7/420 - w**6/120 - w**5/120 + w**4/24 - 3*w**2. Factor s(u).
u*(u - 2)*(u - 1)*(u + 1)/2
Let d(x) be the second derivative of x**5/20 + x**4/6 - 8*x. Find t such that d(t) = 0.
-2, 0
Let h(p) = -8*p**4 + 8*p**3 + 11*p + 11. Let b = -16 - -20. Let t(i) = 3*i**4 - 3*i**3 - 4*i - 4. Let f(n) = b*h(n) + 11*t(n). Factor f(a).
a**3*(a - 1)
Let l(f) = -2*f + 7*f**2 + 3 - 8*f**2 + 4. Let n(x) = -6*x**2 - 15*x + 48. Let m(r) = 27*l(r) - 4*n(r). Factor m(w).
-3*(w - 1)**2
Suppose 0 = -4*v, 17 - 5 = 4*i + v. Factor -2*l + 5*l**3 + 11*l**2 - 2*l**2 - 5*l**3 - 9*l**4 + 2*l**i.
-l*(l - 1)*(l + 1)*(9*l - 2)
Let t(d) be the third derivative of 0 - 1/90*d**5 + 0*d + 1/72*d**4 + 1/18*d**3 + 5*d**2. Factor t(x).
-(x - 1)*(2*x + 1)/3
Factor -32/7 + 16/7*n - 2/7*n**2.
-2*(n - 4)**2/7
Let v(i) = -4*i**2 - 4*i. Let y(d) = -d**2 - d. Suppose 0*q - 5*q + 4*o = -21, 0 = -4*q + o + 8. Let k(z) = q*v(z) - 5*y(z). Factor k(u).
u*(u + 1)
Solve z**2 - 8*z**2 - 6*z**2 + 15*z**3 + 7*z**2 = 0.
0, 2/5
Determine q so that -2/23*q**3 + 12/23*q - 2/23*q**2 + 0 = 0.
-3, 0, 2
Find o, given that -4*o + 2*o + 23*o**3 - 21*o**3 = 0.
-1, 0, 1
Let o(g) be the first derivative of g**9/10584 + g**8/5880 - g**7/2940 - g**6/1260 + g**3/3 + 2. Let w(r) be the third derivative of o(r). Factor w(y).
2*y**2*(y - 1)*(y + 1)**2/7
Let p be ((-33)/12 + 2)*-4. Factor 0*f**5 + 4 - 2*f**5 - 8*f**p + 2*f**4 - 10*f**4 + 4*f**2 + 10*f.
-2*(f - 1)*(f + 1)**3*(f + 2)
Let j(c) = c**2 - 14*c + 5. Let z(t) = -t**2 - t. Let w(v) = -j(v) + 4*z(v). Solve w(f) = 0 for f.
1
Let g be 6/8*((-18)/27)/(-1). Suppose 0 - g*k**3 - 1/2*k + k**2 = 0. Calculate k.
0, 1
Let b = 35 - 27. Suppose -8*x**4 - 16*x + 67*x**3 + b*x**2 + 8*x**2 - 55*x**3 - 4*x**5 = 0. What is x?
-2, 0, 1
Let d(k) be the third derivative of -k**7/504 + k**6/60 - k**5/30 + k**4/6 + 3*k**2. Let u(n) be the second derivative of d(n). Factor u(c).
-(c - 2)*(5*c - 2)
Let x = 2 + -9. Let v be (x/(-35))/((-1)/(-4)). Factor -2*p**2 + 14/5*p - v.
-2*(p - 1)*(5*p - 2)/5
Let r(t) be the third derivative of -t**6/180 - 7*t**5/90 - 11*t**4/36 - 5*t**3/9 + 6*t**2. Factor r(q).
-2*(q + 1)**2*(q + 5)/3
Factor -12*a**4 + 19*a**5 + 4*a**2 - 13*a**5 - 14*a**5.
-4*a**2*(a + 1)**2*(2*a - 1)
Let r(u) = -11*u - 3. Let g be r(3). Let h be g/(-273) + 2/13. Factor -4/7*t + 4/7*t**3 + 2/7*t**4 - h + 0*t**2.
2*(t - 1)*(t + 1)**3/7
Let i = 10 - 48/5. Determine b, giv