of -d**4/12 - 16*d**3/3 - 128*d**2 - 3*d - 7. Let z(o) = 0. Calculate o.
-16
Let 9*p - 44*p**2 - 32*p**2 + 30 - 9*p**3 + 43*p**2 + 3*p**4 = 0. What is p?
-2, -1, 1, 5
Let o = 11 - 9. Let b(q) be the first derivative of -2 + 0*q - 1/7*q**o + 2/21*q**3. Factor b(u).
2*u*(u - 1)/7
Factor 8/15*m - 8/15 - 2/15*m**2.
-2*(m - 2)**2/15
Let k(f) be the second derivative of f**4/18 - 5*f. Factor k(u).
2*u**2/3
Let d = 17 + -5. Suppose 2*j - 3*f = f - d, 5*j - 9 = -3*f. Solve j + 2/3*i**5 + 4/3*i**4 + 0*i**3 - 2/3*i - 4/3*i**2 = 0.
-1, 0, 1
Suppose 2*k + 2 = 10. Find c such that 0*c + 0*c**2 + 0 + 0*c**k - 1/2*c**3 + 1/2*c**5 = 0.
-1, 0, 1
Solve 6*t**3 + 38*t**2 + 10*t**2 - 8 + 12*t + 22*t**3 = 0.
-1, 2/7
Let m(q) = q**2 + q - 1. Let h(i) = 16*i**3 - 5*i**2 - 4*i - 4. Let b(j) = -2*h(j) + 6*m(j). Factor b(y).
-2*(y - 1)*(4*y + 1)**2
Let z(f) = f**5 + f**3 - f - 1. Let v(d) = 4*d**5 + 6*d**4 - 20*d**3 - 6*d**2 + 10*d + 6. Let y(i) = v(i) + 6*z(i). Suppose y(q) = 0. What is q?
-1, 0, 2/5, 1
Let l(x) = 9*x**3 + 20*x**2 + 2*x - 2. Let s(q) = 54*q**3 + 120*q**2 + 11*q - 13. Let p(n) = 39*l(n) - 6*s(n). Determine m, given that p(m) = 0.
-2, -2/9, 0
Let w(b) be the first derivative of 2/5*b**3 + 0*b + 0*b**2 + 3/20*b**4 - 4 - 3/25*b**5. Suppose w(a) = 0. What is a?
-1, 0, 2
Let o(k) be the third derivative of 9*k**6/80 - 7*k**5/20 - 17*k**4/36 - 2*k**3/9 - 20*k**2. Factor o(b).
(b - 2)*(9*b + 2)**2/6
Suppose 2 = -5*r + 2. Let m(v) be the second derivative of -1/168*v**7 + 0 - 1/48*v**4 + 1/120*v**6 + r*v**3 - v + 0*v**2 + 1/80*v**5. Factor m(p).
-p**2*(p - 1)**2*(p + 1)/4
Let v(t) be the third derivative of t**6/72 - t**5/20 + t**4/24 + t**3/18 - 2*t**2. Factor v(j).
(j - 1)**2*(5*j + 1)/3
Suppose 0 = 6*x - 8*x. Solve -3/2*z**4 + x - 8/3*z**2 - 2/3*z - 7/2*z**3 = 0.
-1, -2/3, 0
Let x(j) be the first derivative of j**3 - 27*j**2 + 243*j - 21. Factor x(o).
3*(o - 9)**2
Let r be 6/1 + (-17)/3. Let q(f) be the second derivative of -2*f - 1/30*f**5 + r*f**2 + 0 + 1/6*f**4 - 1/3*f**3. Factor q(c).
-2*(c - 1)**3/3
Let u be 16/6 + 6/(-9). Let q(z) be the third derivative of 0*z - 1/420*z**6 - 1/70*z**5 - 1/28*z**4 - 3*z**u - 1/21*z**3 + 0. Factor q(p).
-2*(p + 1)**3/7
Let u = 8 + -6. Let z(g) = -g + 2. Let a be z(u). Factor 0 + a*q**2 - q**3 + 0*q - 3/2*q**4.
-q**3*(3*q + 2)/2
Let i(m) be the second derivative of m**6/30 - m**5/2 + 11*m**4/4 - 20*m**3/3 + 8*m**2 - m. Factor i(a).
(a - 4)**2*(a - 1)**2
Let l(z) be the second derivative of 0*z**2 - 9*z - 1/2*z**3 - z**4 + 0. Suppose l(m) = 0. Calculate m.
-1/4, 0
Let j(k) be the third derivative of -k**7/210 + k**5/60 - 7*k**2. Solve j(q) = 0.
-1, 0, 1
Let z(h) = -6*h**4 - 32*h**3 - 28*h**2 - 16*h - 6. Let f(w) = 2*w**4 + 11*w**3 + 9*w**2 + 5*w + 2. Let x(v) = -8*f(v) - 3*z(v). Factor x(u).
2*(u + 1)**4
Let v(c) be the second derivative of c**4/3 - 2*c**2 + 4*c. Factor v(r).
4*(r - 1)*(r + 1)
Let g(x) be the first derivative of x**4/4 + x**3/3 - x**2/2 - x - 28. Determine o so that g(o) = 0.
-1, 1
Let k(s) = 5*s**2 - 28*s + 23. Let f(t) = 5*t**2 - 29*t + 24. Let m(q) = 3*f(q) - 4*k(q). Factor m(y).
-5*(y - 4)*(y - 1)
Suppose 5*a - 15 = 15. Let d = -4 + a. Let 2*x - 6*x - 3*x**d + x**2 = 0. What is x?
-2, 0
Let y(x) be the third derivative of -29/72*x**5 - 1/9*x**3 + 5/18*x**4 + 47/144*x**6 - 5/36*x**7 + 0*x + 0 + 7/288*x**8 - 7*x**2. Suppose y(l) = 0. What is l?
2/7, 1
Suppose -o + 7 = 4. Let h be 2/(-7) + (-174)/(-21). Factor 6*k**4 + k**3 - h*k**o + k**3 - 2*k**5 + 2*k**2.
-2*k**2*(k - 1)**3
Let u(f) be the second derivative of -7*f**6/50 + 3*f**5/20 + f**4/10 + 4*f. Factor u(r).
-3*r**2*(r - 1)*(7*r + 2)/5
Let h = 38 - 24. Factor 0 + 2*j + 2 + 7 + 3*j**2 - h*j.
3*(j - 3)*(j - 1)
Let z(k) be the third derivative of 0 + 0*k**5 + 1/8*k**4 - 3*k**2 - 1/40*k**6 + 0*k**3 + 0*k. Factor z(x).
-3*x*(x - 1)*(x + 1)
Let g(b) = -b + 10. Let w be g(10). Solve -4 + w - 9*c - 1 - 3*c**2 - 1 = 0.
-2, -1
Let t(k) = 2*k**3 + 3*k**2 + 2*k - 1. Let c be t(-2). Let d = c - -46/5. Factor 2/5*m + d - 3/5*m**2.
-(m - 1)*(3*m + 1)/5
Factor 0*g + 3/7*g**2 + 3/7*g**3 - 3/7*g**5 + 0 - 3/7*g**4.
-3*g**2*(g - 1)*(g + 1)**2/7
Suppose 4*k - 6 = 2. Suppose -k*o = -7*o + 15. Let -4*u - u + 48*u**2 + 40*u**4 + 86*u**3 - 4 + o*u = 0. What is u?
-1, -2/5, 1/4
Factor -6/13*v - 2/13*v**2 + 8/13.
-2*(v - 1)*(v + 4)/13
Let f = -11 + 8. Let v = f + 6. Determine n, given that 0*n + 2/3*n**2 + 0 - 2/3*n**v = 0.
0, 1
Suppose -2*g - 3*z - 8 = z, g + 4*z = -10. Let t(m) = 3*m**2 - 2*m + 1. Let b(p) = -13*p**2 + 8*p - 4. Let d(n) = g*b(n) + 9*t(n). What is w in d(w) = 0?
1
Let t = -16 - -11. Let s(z) = -3*z**3 + 3*z**2 - 2*z - 8. Let h(y) = 2*y**3 - 2*y**2 + y + 5. Let i(l) = t*s(l) - 8*h(l). What is a in i(a) = 0?
-1, 0, 2
Let r(n) be the third derivative of -2*n**5/255 + n**4/51 - n**3/51 + 3*n**2. Factor r(h).
-2*(2*h - 1)**2/17
Let k be 6/30 + 1/(-5). Factor 4*h + k*h - h - 6*h + 3*h**2.
3*h*(h - 1)
Let r = 41 - 20. Let k = 21 - r. Factor k + 0*g**3 + 10/9*g**5 + 0*g + 4/9*g**4 + 0*g**2.
2*g**4*(5*g + 2)/9
Let t(c) be the third derivative of 0 - 1/6*c**3 + 1/60*c**5 - 2*c**2 + 0*c**4 + 0*c. Suppose t(k) = 0. What is k?
-1, 1
Let f = -14 - -17. Suppose i + 4*i - 12 = -4*t, -f*i + 2*t = -16. Determine u so that 8/9*u**3 - 2/3*u + 4/9 + 0*u**i - 4/9*u**2 - 2/9*u**5 = 0.
-2, -1, 1
Determine d, given that 2/13*d**4 + 0 + 0*d + 0*d**2 + 4/13*d**3 = 0.
-2, 0
Let r(f) be the second derivative of 1/3*f**3 + 1/15*f**6 + 0*f**2 + 0 + 1/12*f**4 + 3*f - 7/60*f**5. Let i(x) be the second derivative of r(x). Solve i(m) = 0.
1/4, 1/3
Let j(i) = 3*i**2 + i + 6. Let h be j(-3). Let f = -208/7 + h. Factor -f + 2/7*v**3 + 6/7*v - 6/7*v**2.
2*(v - 1)**3/7
Let u(t) = t**3 - 4*t**2 - 4*t. Let s be u(5). Suppose -4*q = -q - 12. Determine n, given that -n**q + 0*n**2 + 2*n**s + 3*n**4 + n**4 - n**2 = 0.
-1, 0, 1/2
Let m(w) be the third derivative of -w**8/168 + w**7/420 + w**6/60 - w**5/120 + 8*w**2. Solve m(h) = 0.
-1, 0, 1/4, 1
Let u = -20/9 + 49/18. Factor 1/4*p**3 + 0 + 1/4*p - u*p**2.
p*(p - 1)**2/4
Suppose -2*c - 2 + 10 = 0. Factor 2*d - c*d + 3*d**2 - 2*d**2 + d.
d*(d - 1)
Let q(i) = -i - 2. Let u be q(3). Let y(h) = -h**2 - 6*h - 1. Let l be y(u). Factor l + 3 + 9*k - 4 + 9*k**2 + 3*k**3.
3*(k + 1)**3
Let z(a) = -a**3 + a**2 - a**3 - 2*a**3 + a + 3*a**3 + a**4. Let n(t) = -2*t**3 + 2*t**2 - 2*t. Let o(b) = n(b) + z(b). Determine r so that o(r) = 0.
0, 1
Let t(z) = -14*z**2 - 6. Let s(u) = -u**2 + u - 1. Let w(f) = -6*s(f) + t(f). Factor w(i).
-2*i*(4*i + 3)
Let k(a) = 2*a**2 + 6*a - 4. Let l(u) = 6*u**2 + 17*u - 11. Let n(t) = 11*k(t) - 4*l(t). Find b such that n(b) = 0.
-1, 0
Let c(o) be the second derivative of o**7/42 - o**6/15 + o**4/6 - o**3/6 - 6*o. Solve c(m) = 0.
-1, 0, 1
Suppose -3*l + 3*n + 86 = -8*l, -36 = 2*l + 2*n. Let h be 16/72 - l/9. Factor 0*o + 0 + 3*o**3 - 3/2*o**4 + 0*o**h.
-3*o**3*(o - 2)/2
Let q be -2 + (-9)/3 - 0. Let j = q - -13. Solve 0 - j*o**3 + 8*o + 11*o**2 - 8 - 5*o**2 + 2*o**4 = 0 for o.
-1, 1, 2
Let b(i) be the second derivative of -i**5/5 - i**4 + 4*i**3 + 16*i**2 - 15*i. Determine z so that b(z) = 0.
-4, -1, 2
Let s = -7 - -7. Suppose 2*f - 2 - 2 = s. Let -4*i**3 - i**2 - 6*i + f*i**3 + 0*i**2 - 2 - 5*i**2 = 0. What is i?
-1
Determine p so that 1/6*p - 1/2*p**2 + 1/3 = 0.
-2/3, 1
Let l(a) = 32*a**2 + 133*a + 392. Let f(j) = 11*j**2 + 44*j + 131. Let t(i) = -17*f(i) + 6*l(i). Factor t(m).
5*(m + 5)**2
Find r, given that 2/3 + 40/3*r**2 + 10*r**4 + 5*r + 7/3*r**5 + 50/3*r**3 = 0.
-1, -2/7
Let o(y) be the second derivative of -11*y**7/252 - 13*y**6/180 + 3*y**5/40 + 13*y**4/72 + y**3/18 - 15*y. Find q, given that o(q) = 0.
-1, -2/11, 0, 1
Let j(v) be the first derivative of -v**6/3 - 4*v**5/5 + 4*v**3/3 + v**2 + 2. Suppose j(k) = 0. Calculate k.
-1, 0, 1
Let d(k) be the first derivative of 0*k - 1 + k**3 + 1/45*k**6 + 0*k**2 - 1/20*k**5 - 1/12*k**4. Let t(w) be the third derivative of d(w). Factor t(l).
2*(l - 1)*(4*l + 1)
Let d = 2/93 - -269/465. Find w such that 3/5*w**2 + 1/5 - d*w - 1/5*w**3 = 0.
1
Let t = 817/3252 - 1/813. Factor -1/4*l**2 + 0*l + t.
-(l - 1)*(l + 1)/4
Let q(w) = 8*w**5 + 12*w**4 + 15*w**3 + 5*w**2 + 3*w - 3. Let t(x) = 9*x**5 + 11*x**4 + 15*x**3 + 5*x**2 + 4*x - 4. Let u(n) = 4*q(n) - 3*t(n). Solve u(s) = 0.
-1, 0
Let x