*s = -3*s + 780. Let m = 55 - s. Find z such that 0 + 0*z**2 - 2/7*z + 0*z**4 + 4/7*z**m - 2/7*z**5 = 0.
-1, 0, 1
Let r(x) be the second derivative of -x**4/2 + 3*x**3/2 + 13*x - 1. Let m(l) = l**3 + 5*l**2 - 8*l. Let z(f) = 3*m(f) + 2*r(f). Factor z(v).
3*v*(v - 1)*(v + 2)
Solve 1/4*s**2 + 15/2*s - 31/4 = 0.
-31, 1
Let d(s) be the third derivative of 1/112*s**8 + 3/40*s**6 - 1/2*s**4 + 2/3*s**3 + 0 - 11/210*s**7 + 7/60*s**5 + 0*s + 8*s**2. Determine k, given that d(k) = 0.
-1, 2/3, 1, 2
Let -4/3*i**3 + 4/3*i**4 - 64/3*i**2 + 16/3*i + 64 = 0. What is i?
-3, -2, 2, 4
Let y be ((-12)/(-20) + -2)/((-2)/10). Factor -a**4 + 3*a**4 - 3*a**3 + 15*a - 12*a**3 + 10 - 5*a**2 - y*a**4.
-5*(a - 1)*(a + 1)**2*(a + 2)
Let k(q) = q**3 + 3*q**2 + 6*q + 14. Let a(u) = u**3 + 2*u**2 + 3*u + 13. Let f(n) = 6*a(n) - 7*k(n). Solve f(w) = 0.
-5, -2
Let g(d) be the first derivative of 2*d**5/25 + 3*d**4/10 + 2*d**3/5 + d**2/5 + 176. Factor g(u).
2*u*(u + 1)**3/5
Let m(l) be the first derivative of -l**4/16 - 17*l**3/2 - 2601*l**2/8 - 53. Determine a, given that m(a) = 0.
-51, 0
Let j(o) be the first derivative of -o**5/240 + o**4/24 - o**3/6 + 17*o**2 - 25. Let n(c) be the second derivative of j(c). Factor n(x).
-(x - 2)**2/4
Let i(x) = 585*x - 585. Let k(h) = h**2 + 292*h - 293. Let u(l) = -3*i(l) + 5*k(l). Factor u(c).
5*(c - 58)*(c - 1)
Let s(q) = -8*q**5 - 6*q**4 + 6*q**3 - 6. Let o(a) = -23*a**5 - 17*a**4 + 17*a**3 - 17. Suppose 7*m - 6 = 8*m. Let c(i) = m*o(i) + 17*s(i). Factor c(j).
2*j**5
Let z be (27/90)/((-3)/20*-10). Determine k so that 1/5*k**3 + 0 + z*k**4 - 1/5*k**2 - 1/5*k = 0.
-1, 0, 1
Factor 0*p**4 + 0 + 2/15*p**5 + 2/15*p - 4/15*p**3 + 0*p**2.
2*p*(p - 1)**2*(p + 1)**2/15
Let j(b) = -7*b**3 - 23*b**2 - 3*b. Let f be 4/(-5)*20/8. Let w(a) = -6*a**3 - 22*a**2 - 2*a. Let q(d) = f*j(d) + 3*w(d). Factor q(v).
-4*v**2*(v + 5)
Let a(c) be the second derivative of -c**5/50 - 7*c**4/30 + 17*c**3/15 - 9*c**2/5 - c - 23. Factor a(p).
-2*(p - 1)**2*(p + 9)/5
Let l = 5/58 + 225/754. Let g = l + -19/117. Factor g*v**2 + 4/9*v**3 + 0*v + 2/9*v**4 + 0.
2*v**2*(v + 1)**2/9
Let b = -39 + 42. Factor -3*t + 16*t + t**3 - 16*t**2 + 3*t**3 + b*t.
4*t*(t - 2)**2
Factor 0*v + 0 - 16/3*v**4 + 2/3*v**3 + 10/3*v**5 + 4/3*v**2.
2*v**2*(v - 1)**2*(5*v + 2)/3
Suppose 45*p - 12 = 42*p. Suppose -n + 1 = -1. Solve l**3 - 3*l**3 - 6*l**2 + l**5 + 2*l**n + l + 2*l**p + 2 = 0.
-2, -1, 1
Let j = 28 + -31. Let m(p) = p + 6. Let f be m(j). Solve 4/5*n**2 + 0*n - 2/5*n**f + 0 = 0 for n.
0, 2
Let l(c) be the second derivative of c**6/25 - c**5/10 - c**4/15 + c - 51. Factor l(v).
2*v**2*(v - 2)*(3*v + 1)/5
Suppose 2*d - 4*d + 29 = 5*z, -4*z - 3*d = -26. Let b be ((-14)/z)/(66/(-55)). Find l, given that 0 - 1/3*l + b*l**2 - 8/3*l**3 - 16/3*l**4 = 0.
-1, 0, 1/4
Let l(s) be the second derivative of -s**5/300 + s**4/120 + s**3/15 - 7*s**2/2 + 10*s. Let d(y) be the first derivative of l(y). Determine x so that d(x) = 0.
-1, 2
Let i(m) = -26*m**2 - 188*m - 5606. Let r(c) = 2*c**2 - 2*c - 1. Let f(j) = -i(j) - 12*r(j). Factor f(g).
2*(g + 53)**2
Factor -11/4*x + 6 + 1/4*x**2.
(x - 8)*(x - 3)/4
Let p = -2 - -5. Suppose 80*z = -60173 + 60653. Determine m so that 1 + z*m + 15/2*m**p + 7/4*m**4 + 43/4*m**2 = 0.
-2, -1, -2/7
Let d(c) be the first derivative of 5/6*c**6 + 20*c**3 + 19 - 3*c**5 - 5/2*c**4 + 0*c - 20*c**2. Factor d(h).
5*h*(h - 2)**2*(h - 1)*(h + 2)
Suppose -4*j + 26 + 50 = 0. Factor 14*x**2 - 9*x**2 - j*x + 4*x - 5*x**4 + 15*x**3.
-5*x*(x - 3)*(x - 1)*(x + 1)
Let i(t) be the third derivative of 2*t**7/315 + 4*t**6/45 + 13*t**5/45 + t**4/3 + 43*t**2. Suppose i(k) = 0. Calculate k.
-6, -1, 0
Let m(j) = j**3 + 6*j**2 - 14*j + 6. Let i be -3 + 10 - 3/(-1). Let d(o) = 3*o**3 + 12*o**2 - 29*o + 11. Let y(l) = i*m(l) - 4*d(l). Find z such that y(z) = 0.
2
Let j(x) be the first derivative of -2*x**3/9 - 94*x**2/3 - 4418*x/3 - 353. Solve j(r) = 0 for r.
-47
Let h(s) be the second derivative of -s**6/165 - 17*s**5/55 - s**4/2 - 7*s - 15. Factor h(g).
-2*g**2*(g + 1)*(g + 33)/11
Let u(w) = w**3 + 13*w**2 + 7*w - 27. Let k be u(-12). Let 3*s**3 - k*s**2 + 105*s - 55 - 23 + 3 = 0. Calculate s.
1, 5
Let d(q) = 6*q**2 - 1143*q - 783. Let a(b) = b**2 - 286*b - 196. Let y(v) = -15*a(v) + 4*d(v). Suppose y(m) = 0. Calculate m.
-2/3, 32
Solve -16*w**2 - 108/7 - 218/7*w - 2/7*w**3 = 0.
-54, -1
Let a(k) be the first derivative of -53*k**4/6 + 638*k**3/9 - 161*k**2 + 6*k - 307. Factor a(x).
-2*(x - 3)**2*(53*x - 1)/3
Let i(z) be the third derivative of z**8/672 + 19*z**7/210 + 101*z**6/48 + 219*z**5/10 + 81*z**4 + 144*z**3 + 52*z**2. Find a, given that i(a) = 0.
-12, -1
Let o(i) be the first derivative of i**7/1680 - i**6/240 + i**5/80 - i**4/48 + 2*i**3/3 - 18. Let u(w) be the third derivative of o(w). Factor u(l).
(l - 1)**3/2
Let t(z) be the second derivative of 1/3*z**2 - 11*z - 1/30*z**5 + 0 - 1/3*z**3 + 1/6*z**4. What is q in t(q) = 0?
1
Let m(g) = -28*g**3 - 13*g**2 + 33*g + 3. Let i(o) = 42*o**3 + 20*o**2 - 50*o - 4. Suppose -3*q + 6*q + 24 = 0. Let s(f) = q*m(f) - 5*i(f). Factor s(v).
2*(v - 1)*(v + 1)*(7*v + 2)
Let o(y) be the second derivative of -y**4/30 + 13*y**3/15 + 14*y + 3. Factor o(i).
-2*i*(i - 13)/5
Let q(j) = -j**2 - 50*j - 481. Let l be q(-13). Let m(d) be the third derivative of 0 + 1/60*d**5 + l*d**3 + 1/12*d**4 + 5*d**2 + 0*d. Factor m(g).
g*(g + 2)
Let q(o) = 2*o**2 + 6*o - 32. Let d(j) = -4*j**2 - 15*j + 64. Let x(g) = 2*d(g) + 5*q(g). Factor x(l).
2*(l - 4)*(l + 4)
Find j such that 3/5*j + 3/5*j**5 + 0*j**4 + 0 + 0*j**2 - 6/5*j**3 = 0.
-1, 0, 1
Let g(l) = l + 6. Let j be g(-6). Let d(z) = z**3 + z**2 + 2. Let b be d(j). Factor b*a + 3 - a**2 + 2 - 5.
-a*(a - 2)
Let l(r) = 2*r**4 - 18*r**3 + 19*r**2 + 13*r - 21. Let j(k) = -2*k**4 + 18*k**3 - 20*k**2 - 12*k + 22. Let z(q) = -5*j(q) - 6*l(q). Factor z(v).
-2*(v - 8)*(v - 1)**2*(v + 1)
Suppose y - 32 = -4*j, -j + 4*y = -12 - 13. Let o be (-99)/21 - (-14 + j). Factor 0*s + 0 - 3/7*s**3 + 1/7*s**5 + 0*s**4 - o*s**2.
s**2*(s - 2)*(s + 1)**2/7
Factor 200/13 + 2/13*l**4 - 280/13*l - 28/13*l**3 + 138/13*l**2.
2*(l - 5)**2*(l - 2)**2/13
Solve 20/7*m + 2/7*m**2 + 32/7 = 0.
-8, -2
Let h(u) be the first derivative of u**9/144 - u**8/112 - u**7/140 + 4*u**3 - 3. Let t(d) be the third derivative of h(d). Suppose t(k) = 0. What is k?
-2/7, 0, 1
Let w(b) be the first derivative of 49*b**4/4 + 5*b**3/3 - 643. Find i, given that w(i) = 0.
-5/49, 0
Let r = 3 + -1. Suppose 5*p - 27 = -4*w - 10, 5*p = 4*w + 33. Factor 4*u**r - p*u**2 - 2*u + 4*u - 1.
-(u - 1)**2
Let g be 3/(-6) + 1 + (-5217)/30. Let k = g - -174. Suppose 1/5*o**4 + 0 - 2/5*o - k*o**2 + 0*o**3 = 0. Calculate o.
-1, 0, 2
Let w(a) be the first derivative of a**5/45 + a**4/18 - 11*a**3/27 - 2*a**2/3 - 624. Factor w(n).
n*(n - 3)*(n + 1)*(n + 4)/9
What is x in 5/4*x**4 + 0*x - 3*x**2 + 0 - 7*x**3 = 0?
-2/5, 0, 6
Let o = 22550 + -113403/5. Let z = 131 + o. Factor 0*l + z*l**2 - 2/5.
2*(l - 1)*(l + 1)/5
Let n(q) be the second derivative of -q**7/210 + q**5/30 - q**3/6 + 11*q**2/2 + 6*q. Let f(b) be the first derivative of n(b). Find k such that f(k) = 0.
-1, 1
Let y = 7 + -5. Let w be -8*1/(4 - 5). Factor -w*u**3 - 4*u**2 - 5*u**y - 7*u**3 + 6*u.
-3*u*(u + 1)*(5*u - 2)
Let h(c) be the second derivative of 7*c**5/90 - 19*c**4/54 - 76*c**3/27 - 20*c**2/9 + 115*c. What is t in h(t) = 0?
-2, -2/7, 5
Suppose -14/5*r**3 + 4/5 + 14/5*r + 18/5*r**4 - 22/5*r**2 = 0. Calculate r.
-1, -2/9, 1
Suppose -49 = -9*c + 23. Factor -c - 5*l**2 + 5*l - 23*l**2 + 31*l.
-4*(l - 1)*(7*l - 2)
Let c = -1/52 - -125/1092. Let p = c - -20/231. Factor -p*v**2 - 8/11 - 8/11*v.
-2*(v + 2)**2/11
Factor 3*y**3 - 6*y**2 - 1/2*y**4 - 3/2 + 5*y.
-(y - 3)*(y - 1)**3/2
Let z(m) be the first derivative of -m**6/1800 + m**5/60 - 50*m**3/3 - 43. Let p(u) be the third derivative of z(u). Factor p(v).
-v*(v - 10)/5
Find d such that -13664 - 2*d**2 + 2027 + 4*d - 412*d - 9171 = 0.
-102
Suppose 36 = -60*g + 276. Factor 0*n**2 - 1/3*n**g + 0 + 0*n**3 + 0*n.
-n**4/3
Let j(t) be the second derivative of -t**4/8 - 5*t**3/4 + 21*t**2/2 + 67*t. Find w such that j(w) = 0.
-7, 2
Let h be 15/(-35) - (-174)/14. Let -36*v + 109 + 41*v**3 - h*v**4 + 28*v**2 - 223 - 5*v**5 + 98 = 0. Calculate v.
-4, -1, -2/5, 1, 2
Let y(k) = k**3 - 8*k**2 + 11*