ative of -l**8/10080 - l**7/1890 + l**4/24 + 4*l**2. Let q(b) be the second derivative of t(b). Factor q(r).
-2*r**2*(r + 2)/3
Let y(f) be the third derivative of 0 - 19/3*f**5 - 8/3*f**3 + 17/3*f**4 + 0*f - f**2 + 35/12*f**6. Factor y(c).
2*(5*c - 2)**2*(7*c - 2)
Let g be 0 + -4 - -1 - 6. Let o be (-275)/(-99) - 2/g. Let -3*d**o + 0*d**3 + 4*d**3 - d**2 - 2*d = 0. What is d?
-1, 0, 2
Let y(c) be the first derivative of c**6/14 - 3*c**5/5 - 87*c**4/28 + 235*c**3/7 + 300*c**2/7 - 6000*c/7 + 135. Factor y(h).
3*(h - 5)**3*(h + 4)**2/7
Suppose -4*l + 7*l = 6. Suppose 4*d + 9 = 5*j, -l*j - 4*d + 31 = j. Factor x**5 - 4*x - 4*x**2 + 2*x**4 + 2*x**3 + j*x + 2 - 4*x**3.
(x - 1)**2*(x + 1)**2*(x + 2)
Let s(r) = -18*r**3 + 3*r**2 + 69*r + 21. Let j(g) = -g**3 + 2*g**2 - g - 1. Let o(t) = -9*j(t) - s(t). Factor o(q).
3*(q - 2)*(q + 1)*(9*q + 2)
Let z(i) = -7*i**2 + i + 11. Let r = 288 + -294. Let m(c) be the first derivative of -2*c**3/3 + 3*c + 1. Let u(y) = r*z(y) + 22*m(y). Solve u(n) = 0 for n.
-3, 0
Factor -8 + 5/3*k + 1/3*k**2.
(k - 3)*(k + 8)/3
Suppose 2*k - 12 = k. Let n be 1/(-4) + 2619/k. Factor 256*s**4 + n*s**3 + 16*s**4 + 8*s + 13*s**5 + 72*s**2 - 20*s**4 + 85*s**5.
2*s*(s + 1)**2*(7*s + 2)**2
Factor 37*a**3 + 37*a**3 - 2*a**2 + 2 - 7*a - 100*a**3 + 33*a**3.
(a - 1)*(a + 1)*(7*a - 2)
Let v(h) be the first derivative of 4*h**3/9 - 104*h**2/3 + 2704*h/3 - 246. Factor v(i).
4*(i - 26)**2/3
Let y = -897 + 901. Let f(h) be the first derivative of -1/12*h**3 + 1/20*h**5 - 3/16*h**y - 1 + 0*h**2 + 0*h + 1/8*h**6. Determine q, given that f(q) = 0.
-1, -1/3, 0, 1
Let b(l) be the first derivative of l**5/20 - l**4/4 + l**3/3 + 11*l + 7. Let u(i) be the first derivative of b(i). Factor u(x).
x*(x - 2)*(x - 1)
Factor 10/3*i + 7 + 1/3*i**2.
(i + 3)*(i + 7)/3
Factor 8/3*d**2 + 1/3*d**3 + 20/3*d + 16/3.
(d + 2)**2*(d + 4)/3
Factor -6*m**2 - 20*m**3 + 11*m + 31*m**2 - 9*m**2 - m**4 + 3*m**4 - 18 + 9*m.
2*(m - 9)*(m - 1)**2*(m + 1)
Let r(p) be the second derivative of 5*p**7/6 + 22*p**6/3 - 93*p**5/4 + 65*p**4/6 + 40*p**3/3 + 17*p + 4. Determine o, given that r(o) = 0.
-8, -2/7, 0, 1
Let t(m) be the second derivative of 1/15*m**4 + 0*m**2 + 1/30*m**3 + 1/210*m**7 - 5*m + 3/50*m**5 + 2/75*m**6 + 0. Factor t(b).
b*(b + 1)**4/5
Suppose 165*x**3 + 3*x**4 + 341*x**2 - 26*x**2 - x**4 + 155*x + 3*x**4 = 0. Calculate x.
-31, -1, 0
Let d = 1847/348 + 3/116. Factor 0 + d*t**2 + 4*t + 4/3*t**3.
4*t*(t + 1)*(t + 3)/3
Let k(y) be the third derivative of -y**7/70 + 13*y**6/80 + y**5/5 - 7*y**4/16 - 245*y**2. Solve k(h) = 0.
-1, 0, 1/2, 7
Let q(g) = g**3 + 13*g**2 + 12*g + 3. Suppose 8 = 2*v, -3*p + 3*v - 52 = -v. Let m be q(p). Factor -2*n**3 - 108*n**2 + 7*n**m + 5*n + 98*n**2.
5*n*(n - 1)**2
Let s(z) be the first derivative of 36*z**2 + 11*z**3 - 47 + 3/4*z**4 - 108*z. Suppose s(f) = 0. What is f?
-6, 1
Let f(d) be the third derivative of -d**6/720 - d**5/18 + d**4/144 + 5*d**3/9 - 414*d**2 - d. Let f(j) = 0. Calculate j.
-20, -1, 1
Let z(y) be the first derivative of 2*y**5/95 - y**4/19 - 2*y**3/57 + 2*y**2/19 + 17. Suppose z(p) = 0. Calculate p.
-1, 0, 1, 2
Let z(y) = -y**3 + y**2. Let n(d) = 14*d**3 + 18*d**2 + 44*d + 20. Suppose -4*o - 46 = -5*b, 2*b + 3*b = -5*o + 55. Let a(x) = b*z(x) + n(x). Solve a(r) = 0.
-5, -1
Factor -3*o**2 + o**2 - 11*o**2 - 8*o**2 + 3*o**2 - 3*o**3 + 3*o**4.
3*o**2*(o - 3)*(o + 2)
Let p(m) be the second derivative of 0*m**5 - 5*m + 0*m**3 + 1/120*m**6 + 2*m**2 - 1/24*m**4 + 0. Let r(j) be the first derivative of p(j). Factor r(l).
l*(l - 1)*(l + 1)
Let z(l) be the second derivative of 35/2*l**3 + 1/4*l**5 + 18*l + 45*l**2 + 10/3*l**4 + 0. Find c, given that z(c) = 0.
-3, -2
Let i be 6 - 0 - (-4191)/(-889). Factor -12/7 + 3/7*g**2 - i*g.
3*(g - 4)*(g + 1)/7
Factor 4/7*s**2 + 0 - 248/7*s.
4*s*(s - 62)/7
Let l(p) = p**3 + p**2 - p - 1. Let n be (((-45)/(-10))/(-9))/((-3)/(-6)). Let a(u) = 6*u**3 - 5*u**2 + 4*u - 5. Let o(v) = n*a(v) + 3*l(v). Factor o(y).
-(y - 1)**2*(3*y - 2)
Let m = -5 - -3. Let f(u) = -4*u**3 - 3*u**2 - 2*u - 2. Let y be f(m). Let -19 - i**2 - 2*i**2 + y = 0. Calculate i.
-1, 1
What is r in -27/2*r - 11/8*r**2 + 5/2 = 0?
-10, 2/11
Let j(o) = -511*o**3 + 2*o**2 + 520*o - 11. Let m(u) = -128*u**3 + u**2 + 130*u - 3. Let i(w) = 2*j(w) - 9*m(w). Factor i(a).
5*(a - 1)*(a + 1)*(26*a - 1)
Let l(u) be the third derivative of u**6/168 + 13*u**5/105 + 5*u**4/42 - 2*u**2 - 176. Factor l(y).
y*(y + 10)*(5*y + 2)/7
Let m(o) be the third derivative of 11/30*o**5 - 16*o**2 - 4/3*o**3 + 0 + 2/3*o**4 + 1/20*o**6 + 0*o. Let m(v) = 0. What is v?
-2, 1/3
Let j be 3/(2 + -2 + 5). Let d = -112 - -112. Suppose d - 3/5*g + j*g**2 = 0. Calculate g.
0, 1
Let v(b) be the first derivative of -2*b**3/3 + 228*b**2 - 25992*b - 140. Suppose v(i) = 0. What is i?
114
Let l(b) be the second derivative of -25/2*b**3 + 45/2*b**2 - 13*b - 1/4*b**5 + 35/12*b**4 + 0. Factor l(t).
-5*(t - 3)**2*(t - 1)
Let j(l) = -l**2 - 30*l + 25. Let m(q) = -4*q**2 - 121*q + 99. Let k(g) = 26*j(g) - 6*m(g). Suppose k(p) = 0. Calculate p.
-28, 1
Suppose -9*y**2 - 13 - 5 - 12*y**2 - 57*y - 3*y**2 = 0. What is y?
-2, -3/8
Let s(v) be the third derivative of v**9/9072 + v**8/2520 - v**7/2520 - v**6/540 - 2*v**3/3 + 2*v**2. Let o(l) be the first derivative of s(l). Factor o(b).
b**2*(b - 1)*(b + 1)*(b + 2)/3
Let l(f) be the first derivative of f**4 - 52*f**3/3 + 80*f**2 - 772. Find r such that l(r) = 0.
0, 5, 8
Let g be 20/7 + -3 + 2/14. Let z(n) be the third derivative of g + 0*n + 9*n**2 + 1/120*n**5 + 1/6*n**3 + 1/16*n**4. Suppose z(b) = 0. What is b?
-2, -1
Let d be (244/3)/((-2)/(-6)). Determine m, given that m**2 + d - 244 = 0.
0
Let u(s) be the third derivative of -s**5/180 + s**4/6 - 2*s**3 - 103*s**2. Factor u(k).
-(k - 6)**2/3
Let t(o) be the second derivative of o**7/21 - o**6/5 - 9*o**5/10 - 5*o**4/6 - 3*o + 41. What is x in t(x) = 0?
-1, 0, 5
Let j(z) be the second derivative of 2/3*z**3 + 0*z**2 + 1/10*z**5 + 0 + 1/2*z**4 - 6*z. Factor j(i).
2*i*(i + 1)*(i + 2)
Let p be 2/6 - (-17 - 666/(-54)). Let k(b) be the first derivative of -12 + 5*b - p*b**2 - b**5 + 5/2*b**4 + 0*b**3. Find y such that k(y) = 0.
-1, 1
Let x(y) = y**3 + 10*y**2 + 8*y - 6. Let n be x(-9). Let a = 0 + n. Factor -2*f**3 + 3*f**2 + 2*f**a + 3*f**3.
3*f**2*(f + 1)
Let r = -10 + 21. Let c = r + -9. Factor -2*n + c*n + 4*n**3 - 2*n**2 - 2*n**4.
-2*n**2*(n - 1)**2
Let p(q) be the third derivative of 5/4*q**4 + 1/280*q**7 + 25/8*q**3 + 0 - 1/20*q**6 + 3/40*q**5 + 0*q + 25*q**2. Factor p(g).
3*(g - 5)**2*(g + 1)**2/4
Determine j, given that 40*j - 5*j**2 + 20*j**2 - 5*j**4 - 20 - 7 - 7*j**3 + 47 - 3*j**3 = 0.
-2, -1, 2
Let v(l) = -l**2 - 17*l - 14. Let u be v(-16). Find z, given that -z + 0*z + 2 - 4 + 0 + z**u = 0.
-1, 2
Let v(s) be the first derivative of -s**6/2 + 6*s**5/5 + 15*s**4/4 - 10*s**3 - 6*s**2 + 24*s - 76. Let v(n) = 0. Calculate n.
-2, -1, 1, 2
Determine s, given that s**2 + s + 192 - 188 - 6*s = 0.
1, 4
Suppose 24*m + 6392 - 6392 - 28*m**2 - 3*m**4 + 10*m**3 + 2*m**4 = 0. What is m?
0, 2, 6
Let v(t) be the second derivative of -t**4/12 - t**3/3 + 3*t**2/2 - t. Let g be v(-3). Factor p**2 - 20*p**4 + 3*p**2 + 4*p**3 + g*p**2 + 16*p**4 - 4*p.
-4*p*(p - 1)**2*(p + 1)
Let t(h) be the second derivative of -h**4/3 + 268*h**3/3 - 8978*h**2 - 217*h. Factor t(m).
-4*(m - 67)**2
Let u be 6/(5 - 21/6). Suppose 6*m**3 + m**u + m**2 - 5*m**2 - 2*m**3 - 2*m**4 = 0. What is m?
0, 2
Let o be (2/7)/((-8)/(-56)). Find k such that -7*k**2 + 2*k**o - 15 - 8*k**3 + 13*k**3 - 25*k = 0.
-1, 3
Let f be ((-64)/(-96))/((-42)/(-2)*1/9). Factor -2/7*s**3 - f*s**4 + 0 + 0*s**2 + 0*s.
-2*s**3*(s + 1)/7
Let y be 3/((-15)/2)*1560/(-2184). Find b such that -8/7*b**3 + 32/7*b**2 - y*b**5 + 64/7*b - 10/7*b**4 + 32/7 = 0.
-2, -1, 2
Suppose 0 = 2*l + 2 - 8. Suppose 0*m + 13 = m + 3*k, -4*m = l*k - 25. Factor -3*y**2 + 18*y**2 - 21*y**3 + m*y + 9*y**4 - 3*y - 4*y.
3*y*(y - 1)**2*(3*y - 1)
Let u(d) = d**3 - 2*d**2 - 4*d + 8. Let l be u(3). Suppose l*c = c - 10*c. Factor -3/5*g**4 + c + 3/5*g - 9/5*g**2 + 9/5*g**3.
-3*g*(g - 1)**3/5
Let x(y) be the first derivative of 3/4*y**5 + 5/2*y**4 + 5/4*y**2 + 0*y - 1 + 35/12*y**3. Determine h, given that x(h) = 0.
-1, -2/3, 0
Let h(a) = -17*a**2 - 7*a + 12. Let r(p) = 14*p**2 + 6*p 