he second derivative of -1/2*u**4 + 0*u**2 - 1/15*u**6 - 3/10*u**5 - 1/3*u**3 + 0 - 2*u. Factor h(n).
-2*n*(n + 1)**3
Let o be -1 - -3 - (-4 - -6). Let p(f) be the third derivative of 1/60*f**5 - 2*f**2 + 0 + o*f**3 + 0*f**4 - 1/120*f**6 + 0*f. Factor p(h).
-h**2*(h - 1)
Let p(x) be the first derivative of -2*x**3/27 + x**2/3 - 4*x/9 - 5. Factor p(g).
-2*(g - 2)*(g - 1)/9
Let w(n) be the third derivative of n**8/28 - 13*n**7/70 + 3*n**6/40 - 6*n**2. Determine y, given that w(y) = 0.
0, 1/4, 3
Suppose g + 3*g = 56. Factor 5*l**3 + 2*l**2 + 15*l - g*l**2 - 2*l**3 - 6.
3*(l - 2)*(l - 1)**2
Suppose -2*c + 5*o = -7*c - 15, -2*c = o + 3. Let q(l) be the first derivative of -1/6*l**2 - 4/9*l**3 + c*l - 1/3*l**4 + 2. Factor q(t).
-t*(2*t + 1)**2/3
Factor 0 - 49/5*x**3 - 4/5*x - 28/5*x**2.
-x*(7*x + 2)**2/5
Let v be (-6)/81*(2 - -10). Let f = v - -10/9. Factor 0 - f*g + 2/9*g**2.
2*g*(g - 1)/9
Suppose 3*p - p - 20 = 2*t, -3*p + 2*t = -26. Factor -4 - p*r - 9*r**2 - 2 + 9.
-3*(r + 1)*(3*r - 1)
Let p(g) = 120*g + 730. Let d(o) = o**2 - 120*o - 732. Let t(h) = -5*d(h) - 6*p(h). What is s in t(s) = 0?
-12
Let i(j) be the third derivative of j**7/1575 - j**5/450 + 7*j**2. Solve i(s) = 0.
-1, 0, 1
Suppose 3513*w - 18 = 3504*w. Determine r, given that -2/11*r - 4/11 + 2/11*r**w = 0.
-1, 2
Let s(h) = -h - 1. Let v(x) = -3*x**3 - 10*x**2 - 2*x + 5. Let m(p) = -28*s(p) - 4*v(p). Solve m(i) = 0.
-2, -1, -1/3
Let y(f) be the first derivative of 2/5*f**5 - 1 + 0*f - 3/4*f**4 + 0*f**2 + 1/3*f**3. Solve y(o) = 0 for o.
0, 1/2, 1
Let 5/2*l**3 - 9/2*l - 1 + 3*l**2 = 0. What is l?
-2, -1/5, 1
Let -1/6*r**5 + 1/2*r**2 - 2/3*r - 1/2*r**4 + 5/6*r**3 + 0 = 0. What is r?
-4, -1, 0, 1
Suppose p + 3 = 4. Let t be (2 - 0 - -1) + p. Determine x so that x**3 + 6*x**5 - x**3 + 2*x**4 - t*x**3 = 0.
-1, 0, 2/3
Let z(i) = i**3 + 8*i**2 + 6*i - 7. Let r be z(-7). Let p(g) be the second derivative of 0*g**3 + r*g**2 - g - 1/6*g**4 + 0. Let p(k) = 0. Calculate k.
0
Let f(i) be the first derivative of -i**6/10 - 6*i**5/25 + 3*i**4/20 + 2*i**3/5 + 28. Let f(z) = 0. Calculate z.
-2, -1, 0, 1
Let b(v) = 4*v**2 + 9*v + 3. Let g(n) = -n + 1. Let z(l) = b(l) - 3*g(l). Factor z(s).
4*s*(s + 3)
Let r be -1 + 1 + 2 - -2. Suppose -2*v + 7*v + 41 = 4*x, 3*x = -r*v - 8. Let -1 - x*s**2 + s**3 + 7/2*s + s**4 - 1/2*s**5 = 0. What is s?
-2, 1
Let k = 73 + -65. Let q(s) be the first derivative of 2 + 2/3*s**3 - 4*s**2 + k*s. Factor q(l).
2*(l - 2)**2
Let t(b) = 20*b**3 - 11*b**2 + 2*b. Let m(f) = 7*f**3 - 4*f**2 + f. Let v = -5 - -9. Let w(n) = v*t(n) - 11*m(n). Factor w(l).
3*l*(l - 1)*(l + 1)
Let d(l) = 3*l**3 + 2. Let m(o) = 16*o**3 + o**2 + 11. Let z(f) = -33*d(f) + 6*m(f). Solve z(g) = 0.
0, 2
Let x(p) be the first derivative of -2*p**3/39 + 3*p**2/13 - 4*p/13 + 8. Suppose x(b) = 0. What is b?
1, 2
Let d(a) be the first derivative of -1/8*a**4 + 0*a**2 + 0*a - 1 + 1/3*a**3. Factor d(q).
-q**2*(q - 2)/2
Let i(y) be the second derivative of -y**6/360 - y**5/60 - y**4/24 - 5*y**3/6 - y. Let f(u) be the second derivative of i(u). Factor f(z).
-(z + 1)**2
Let m(f) be the third derivative of -f**8/1176 + 2*f**7/735 - f**6/420 - 21*f**2. Factor m(a).
-2*a**3*(a - 1)**2/7
Let h be (11 + -1)*69/6. Suppose -2*y + h = -5*x, -2*y + y + 30 = 3*x. What is t in -t**4 + y*t - 45*t + t**2 = 0?
-1, 0, 1
Let a(w) be the first derivative of w**5/80 - w**4/16 + 2*w**2 - 5. Let u(m) be the second derivative of a(m). Factor u(k).
3*k*(k - 2)/4
Let f be 34/(-84) - 2/(-4). Let a(n) be the first derivative of 0*n**2 - f*n**3 - 3 - 16/35*n**5 + 0*n - 4/21*n**6 - 5/14*n**4. Factor a(s).
-2*s**2*(s + 1)*(2*s + 1)**2/7
Factor -3*j**5 - 9*j - 27*j**3 - 13*j**4 - 21*j**2 + 3*j - j**4 - j**4.
-3*j*(j + 1)**3*(j + 2)
Find z such that -z - 2 + 2 - 2*z**2 - z**3 = 0.
-1, 0
Let r(x) be the second derivative of -x**4/3 - 3*x**3/2 - 4*x. Let p(u) = 2*u**2 + 5*u. Let a(v) = -10*p(v) - 6*r(v). Factor a(y).
4*y*(y + 1)
Factor 1 + 3/2*q + 1/2*q**2.
(q + 1)*(q + 2)/2
Suppose -9 = -3*f - 3*a, 2*f - 2*a - 10 = -0. Factor 0 + 8*k**5 - 12*k**2 + 14*k**4 + 2 - 4*k**3 - f*k - 4*k**2.
2*(k - 1)*(k + 1)**3*(4*k - 1)
Find s, given that -2*s**2 - 2/3*s**3 + 2/3*s + 4/3 + 2/3*s**4 = 0.
-1, 1, 2
Factor 2/3*l + 4/21 + 10/21*l**3 + 2/21*l**4 + 6/7*l**2.
2*(l + 1)**3*(l + 2)/21
Let n(c) be the third derivative of -c**6/30 - 2*c**5/15 - c**4/6 - 7*c**2. Determine q so that n(q) = 0.
-1, 0
Let h = 5 - 4. Let v = 1 + h. Factor -2*x + 0*x**3 + 1 - x**3 + 3*x - x**v.
-(x - 1)*(x + 1)**2
Let g(z) be the first derivative of 0*z**4 + 0*z - 1/30*z**5 + 0*z**2 + 4 + 1/18*z**3. Factor g(y).
-y**2*(y - 1)*(y + 1)/6
Let u(m) = 65*m**2 - 81*m - 2. Let r(g) = 16*g**2 - 20*g. Let i(l) = 18*r(l) - 4*u(l). Suppose i(b) = 0. Calculate b.
2/7, 1
Let o = -52 + 52. Suppose o + 1/3*j**4 + j**3 + 1/3*j + j**2 = 0. Calculate j.
-1, 0
Let f(q) be the first derivative of q**3/15 - 3*q**2/10 + 2*q/5 - 2. Factor f(r).
(r - 2)*(r - 1)/5
Let r(b) be the third derivative of -b**7/5040 + b**6/180 - b**5/15 - 5*b**4/24 + b**2. Let y(n) be the second derivative of r(n). What is x in y(x) = 0?
4
Suppose 2 = b - 0. Let c(j) be the first derivative of 2/5*j - 2 + 1/10*j**b - 3/20*j**4 - 4/15*j**3. Let c(r) = 0. What is r?
-1, 2/3
Let n(k) be the third derivative of -1/70*k**7 + 0 + 3*k**2 + k**4 - 3/5*k**5 + 0*k**3 + 0*k + 3/20*k**6. Factor n(j).
-3*j*(j - 2)**3
Suppose 0 = m + 4 - 25. Let o be ((-6)/m)/(6/(-14)). Solve -2/3*t + o*t**3 + 2/3*t**2 - 2/3 = 0 for t.
-1, 1
Let r(b) be the third derivative of b**7/210 + b**6/120 - b**5/30 - 6*b**2. Factor r(v).
v**2*(v - 1)*(v + 2)
Let i(u) be the second derivative of -1/24*u**4 - 3/4*u**2 - 2*u + 0 - 1/3*u**3. Factor i(k).
-(k + 1)*(k + 3)/2
Suppose 0 = -2*i + 4. Solve -2*w**2 - 6*w**2 + i*w**4 + 7*w**4 - 3*w**3 + 2*w**2 = 0.
-2/3, 0, 1
Factor 3*m - 6*m + 25 - m - 6*m + m**2.
(m - 5)**2
Factor 1/6*z**4 - 1/6 + 1/3*z**3 - 1/3*z + 0*z**2.
(z - 1)*(z + 1)**3/6
Let x(l) be the third derivative of l**6/960 - 7*l**5/480 + 5*l**4/64 - 3*l**3/16 + 8*l**2. Solve x(k) = 0 for k.
1, 3
Factor 5*g**4 + 828*g**3 - 406*g**3 - 402*g**3 - 50*g + 40 - 15*g**2.
5*(g - 1)**2*(g + 2)*(g + 4)
Find r such that 68/11*r**2 - 16/11 + 18/11*r**3 + 56/11*r = 0.
-2, 2/9
Let h = -10 - -7. Let i be (-20)/(-6) - 2/h. Factor 3*x**3 - x**3 - 5*x**i + 3*x**4.
-2*x**3*(x - 1)
Let b(d) be the second derivative of d**5/70 + 5*d**4/14 + 25*d**3/7 + 125*d**2/7 + 6*d. Factor b(w).
2*(w + 5)**3/7
Let o(i) be the third derivative of i**7/630 - i**6/120 + i**5/180 + i**4/24 - i**3/9 + 9*i**2. Factor o(n).
(n - 2)*(n - 1)**2*(n + 1)/3
Let b(v) = v**2 - 10*v + 23. Let p be b(7). Let g(q) be the first derivative of 0*q - 1 + q**p + 2/3*q**3. Factor g(h).
2*h*(h + 1)
Let t(z) = -z**2 - 4*z - 2. Let m be t(-2). Let k be m/4*(5 + -5). Factor -2/5*c**2 + 0 + 2/5*c**4 + 0*c**3 + k*c.
2*c**2*(c - 1)*(c + 1)/5
Let c = -7 + 10. Let h(p) be the first derivative of 28*p - p**2 - 2*p**c + 2 - 28*p + 2*p**4 - 3. Factor h(n).
2*n*(n - 1)*(4*n + 1)
Let y(n) = -3*n - n**2 - 2*n + 1 - 4*n**3 + 4*n + 2*n. Let t be y(-1). Factor 0 + 4/9*p**4 + 2/9*p**5 + 0*p**t - 2/9*p - 4/9*p**2.
2*p*(p - 1)*(p + 1)**3/9
Let u(z) be the first derivative of 0*z - 3/4*z**4 + 4/3*z**3 - 1/2*z**2 + 3. What is l in u(l) = 0?
0, 1/3, 1
Factor 0*w**3 + 12*w + 4*w**5 + 187*w**2 - 16*w**3 - 8 - 179*w**2.
4*(w - 1)**3*(w + 1)*(w + 2)
Let w(o) be the second derivative of -o**5/5 - 3*o**4/2 - 4*o**3 - 4*o**2 + 6*o. What is q in w(q) = 0?
-2, -1/2
Let t be 9*5/(-2)*1/(-10). Find l, given that 3/4*l**4 - 3/2*l + 0 + t*l**3 - 3/4*l**2 - 3/4*l**5 = 0.
-1, 0, 1, 2
Let j(y) = -y**2 - y - 1. Let m(c) = -c + 4. Let t be m(4). Let w(x) = 2 + 4*x + 0*x**3 + x**2 - 2*x**3 + t + x**4. Let h(q) = 2*j(q) + w(q). Factor h(l).
l*(l - 2)*(l - 1)*(l + 1)
Let c = 63 + -61. Factor -2*i + 8/9*i**c + 4/9.
2*(i - 2)*(4*i - 1)/9
Let a be 3/(245/(-80) + 3). Let b be (3/10)/((-9)/a). Factor 12/5*f**3 + 2/5*f + 2/5*f**5 + 8/5*f**4 + b*f**2 + 0.
2*f*(f + 1)**4/5
Let n(q) = -q**3 - 6*q**2 - q - 4. Let k be n(-6). Suppose k*d - 2 = 2. Factor 0*p**d + 3*p**2 - p**3 + 1 - 5.
-(p - 2)**2*(p + 1)
Let z(b) be the second derivative of -b**7/231 - 4*b**6/165 - 3*b**5/55 - 2*b**4/33 - b**3/33 - 18*b. What is m in z(m) = 0?
-1, 0
Let r be ((-15)/(-3))/((-5)/10). Let d be 